Answer:
To write the Hindu-Arabic numeral 872 as a Babylonian numeral using the symbols I and <, we need to break it down into its place values:
The digit 8 is in the hundreds place.
The digit 7 is in the tens place.
The digit 2 is in the ones place.
To represent 800 in the hundreds place, we use 8 symbols <. To represent 70 in the tens place, we use 7 symbols < followed by 1 symbol I. To represent 2 in the ones place, we use 2 symbols I.
Putting these symbols together, we get the Babylonian numeral:
<<<<< <<<< <<<< <<<< IIII
So, the Babylonian numeral equivalent of the Hindu-Arabic numeral 872 is <<<<< <<<< <<<< <<<< IIII.
What's the solution to the equation 2^x + 4 = 2^3x?
a) x = 1
b) x = 2
c) x = 3
d) x = -2
Answer:
Step-by-step explanation:
2x2x2 = 2^3
2^3 = 8
2^x + 4 = 8
so x= 2
Julie was testing how far two new electric cars—model A and model B—could drive on a full charge. She obtained a sample of 5 55 new cars of each model, charged them fully, and drove them as far as she could along a controlled route. Here is a summary of the distances: Distance Model A Model B Mean 168 km 168 km168, start text, space, k, m, end text 172 km 172 km172, start text, space, k, m, end text Standard deviation 5.4 km 5.4 km5, point, 4, start text, space, k, m, end text 7.5 km 7.5 km7, point, 5, start text, space, k, m, end text Number of cars 5 55 5 55 Julie wants to use these results to test H 0 : μ A − μ B = 0 H 0 : μ A −μ B =0start text, H, end text, start subscript, 0, end subscript, start text, colon, space, end text, mu, start subscript, start text, A, end text, end subscript, minus, mu, start subscript, start text, B, end text, end subscript, equals, 0 versus H a : μ A − μ B ≠ 0 H a : μ A −μ B =0start text, H, end text, start subscript, start text, a, end text, end subscript, start text, colon, space, end text, mu, start subscript, start text, A, end text, end subscript, minus, mu, start subscript, start text, B, end text, end subscript, does not equal, 0. Assume that these are representative samples and all other conditions have been met. What is the P-value associated with these sample results? Choose 1 answer: Choose 1 answer: (Choice A) P -value < 0.01 P-value<0.01P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 01 A P -value < 0.01 P-value<0.01P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 01 (Choice B) 0.01 ≤ P -value < 0.05 0.01≤P-value<0.050, point, 01, is less than or equal to, P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 05 B 0.01 ≤ P -value < 0.05 0.01≤P-value<0.050, point, 01, is less than or equal to, P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 05 (Choice C) 0.05 ≤ P -value < 0.10 0.05≤P-value<0.100, point, 05, is le
The p value based on the information will be E. P - value ≥ 0.20
How to compute the valueOpen Minitab 17. Select 'Stat' -> 'Basic Statistics' -> '2 - Sample t... Select 'Summarized data' from the dropdown menu.
Enter 5 in both Sample size of sample 1 and sample 2, 168 and 172 in Sample mean of Sample 1 and Sample 2. 5.4 and 7.5 in Standard deviation of Sample 1 and Sample 2.
Click on 'Options' and Enter 'Confidence level' 95.0(or the given Cofidence level) , 'Hypothesized difference' 0.0 , 'Alternative hypothesis' 'Difference \\neq Hypothesized difference'. Also the box 'Assume equal variance' can be ticked as requirement.
Click on 'Ok' -> 'Ok'.
Output: -
P - value = 0.361 i.e., P - value ≥ 0.20
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which fraction is greater than the fraction by the model if the fraction is 3/8
The calculated value of the fraction that is greater than the fraction by the model is 1/2
Which fraction is greater than the fraction by the modelFrom the question, we have the following parameters that can be used in our computation:
Model fraction = 3/8
A fraction that is greater than the fraction by the model is represented as
Fraction > Model fraction
Substitute the known values in the above equation, so, we have the following representation
Fraction > 3/8
Add 1 to the numerator
So, we have
Fraction = 4/8
Simplify
Fraction = 1/2
Hence, the fraction that is greater than the fraction by the model is 1/2
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< Question 6 of 6
Use the Shell Method to find the volume of a solid obtained by rotating the region B about the x-axis.
0
y=x²³ +b
Assume a = 2 and b = 2.
(Use symbolic notation and fractions where needed.)
volume:
Answer:
Step-by-step explanation: 5
Correct answer gets brainliest!!!!
Answer:
a) 5
Step-by-step explanation:
the question say how many zero-dimensional objects are labeled on the object. so, you would count how many blue dots you see on the object, as you can see their are four dots on the the bottom, and one dot at the top.
so, 4 dots + 1 dot = ?
5 blue dots
so your answer is 5.
hopefully this helps, let me know if it doesn't.
у
3
Solve for y.
27
31>
=
y
30
y
y = [? ] v
Enter answer
y^2 = 90
y = √90 = 3√10
that's it
Please help quickly I'm begging!
Assignment details: In this assignment, you will create two graphs and answer questions about Bond's Gym, the business you are supporting.
The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments
Creating the functions of the Bond's GymFrom the question, we have the following parameters that can be used in our computation:
The table of values
For the membership application, we have the following features
Initial value = 600Constant rate of change = (450 - 600)/(15 - 0) = -10So, the function is
f(x) = 600 - 10x
For the membership available, we have the following features
Initial value = 0Constant rate of change = (100 - 0)/(15 - 0) = 20/3So, the function is
g(x) = 20/3x
So, the functions are f(x) = 600 - 10x & g(x) = 20/3x
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Factor the polynomial, if possible. Check your answer using foil.
y² + 49
Answer:
its prime
Step-by-step explanation:
it can not be factored using foil
The weights of four similar packs of tomatoes are listed below.
Pack A: 2.456 pounds
Pack B: 2.457 pounds
Pack C: 2.454 pounds
Pack D: 2.459 pounds
Malcolm rounds the weights to the nearest hundredth pound. Which weight does
not round to 2.46 pounds?
A 2.456 pounds
B 2.457 pounds
C 2.454 pounds
D 2.459 pounds
Answer:
The weight that does not round to 2.46 pounds is C 2.454 pounds.
Step-by-step explanation:
Based on the given information, the weights of the four similar packs of tomatoes are as follows:
Pack A: 2.456 poundsPack B: 2.457 poundsPack C: 2.454 poundsPack D: 2.459 poundsMalcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:
Pack A: 2.46 poundsPack B: 2.46 poundsPack C: 2.45 poundsPack D: 2.46 poundsFrom the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.
Question 6(Multiple Choice Worth 1 points)
(06.01 MC)
P
The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units, and the right cylinder has a height of 5 units. Which
conclusion can be made from the given information?
O The volume of the prism is half the volume of the cylinder.
O The volume of the prism is twice the volume of the cylinder.
The volume of the prism is equal to the volume of the cylinder.
O The volume of the prism is not equal to the volume of the cylinder.
N
we cannot conclude that the volume of the prism is half the volume of the cylinder, twice the volume of the cylinder, or not equal to the volume of the cylinder.
How to solve the problem ?
The given information states that the cross-sectional areas of a triangular prism and a right cylinder are congruent, and both have a height of 5 units. Based on this information, we can conclude that the volumes of the two shapes may be equal, but we cannot conclude that the volume of the prism is half or twice the volume of the cylinder.
To determine the volumes of the two shapes, we need to know their respective formulas. The volume of a triangular prism is given by V = (1/2)bh, where b is the length of the base of the triangular cross-section and h is the height of the prism. The volume of a right cylinder is given by V = πr²h, where r is the radius of the circular cross-section and h is the height of the cylinder.
Since the cross-sectional areas of the two shapes are congruent, we can assume that their bases are similar. Therefore, the base of the triangular prism must be a triangle with the same area as the circular base of the cylinder. However, without further information about the shape and size of the cross-section, we cannot determine the values of b and r.
Therefore, we cannot conclude that the volume of the prism is half the volume of the cylinder, twice the volume of the cylinder, or not equal to the volume of the cylinder. The only conclusion that can be made is that the volume of the prism is equal to the volume of the cylinder, assuming that the cross-sectional areas are congruent.
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Triangle P'Q'R' (shown below) is a dilation of Triangle PQR (not shown) using center point C and a scale factor of 1.5.
What is the length, in units, of segment PQ? Explain your thinking by writing or showing math work.
The length of segment PQ is equals to the length of segment P'Q' divided by 1.5, that is:
PQ = P'Q'/1.5
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The scale factor for this problem is given as follows:
k = 1.5.
Hence the equation relating the lengths PQ and P'Q' is given as follows:
P'Q' = 1.5PQ
PQ = P'Q'/1.5
(as the length on the dilated figure is the original length multiplied by the scale factor).
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Can someone answer these 4 trig questions fast and accurately ty
The evaluation of the trigonometric identities to find the sine of the sum of angles A and B, using the values for cos(A) and sin(B) indicates;
15. sin(A + B) = -52/85
16. A + B is in Quadrant III
What are trigonometric identities?Trigonometric identities are equations involving trigonometric ratios that are true for the values of the input variables.
15. cos(A) = -15/17, sin(B) = 4/5
The trigonometric identity for the sine of the addition of two angles, the addition formula indicates that we get;
sin(A + B) = sin(A)·cos(B) + cos(A)·sin(B)
cos(B) = √(1 - (4/5)²) = √(1 - 16/25) = 3/5
sin(A) = √(1 - (-15/17)²) = 8/17
Therefore; sin(A + B) = (8/17) × (3/5) + (-15/17) × (4/5) = -52/85
sin(A + B) = -52/8516. π/2 < A < π, and 0 < B < π/2
Therefore; π/2 + 0 < A + B < π + π/2
The solution from the previous question indicates that we get;
sin(A + B) = -52/85
The sine of an angle is negative in the third and fourth quadrant
The fourth quadrant is; π + π/2 < θ < 2·π
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PLEASE HELP!!!
A cylinder has a height of 15 inches. A similar cylinder has a height of 20 inches.
What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
Enter your answer by filling in the boxes.
The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.
How do you find the ratio of the surface area of the larger cylinder to the the smaller cylinder?To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.
Given:
h1 = 15 inches
h2 = 20 inches
The ratio of the heights is:
h2 / h1 = 20 / 15 = 4 / 3
Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:
r2 / r1 = 4 / 3
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Needdd help pleaseeeee
The value of the matrix 4G + 2F is [tex]4[G] + 2[F] = \begin{bmatrix}34 & -4 & 28 & -18 & 58 \\-42 & -8 & 16 & 30 & 8 \\24 & 34 & 4 & 34\end{bmatrix}[/tex]
Matrices are an essential tool in mathematics and can be used to solve a variety of problems. In this case, we are given two matrices G and F, and we are asked to find the value of 4G + 2F.
To understand how to calculate the value of 4G + 2F, we first need to understand what it means to multiply a matrix by a scalar. When we multiply a matrix by a scalar, we simply multiply every element in the matrix by that scalar.
Now that we understand scalar multiplication, we can use it to find the value of 4G + 2F. We simply need to multiply each matrix by its respective scalar and then add the results element-wise.
[tex]4G = 4\begin{bmatrix}8 &-5 &8 &-2 &10 \\-6& -7&1 & 9& 2\\4&6 &3 &7 &5 \\-4 & -3& 0& -10& -9\end{bmatrix}= \begin{bmatrix}32 & -20 & 32 & -8 & 40 \\-24 & -28 & 4 & 36 & 8 \\16 & 24 & 12 & 28 & 20 \\-16 & -12 & 0 & -40 & -36\end{bmatrix}[/tex]
Now we have to find the value of 2[F]. that can be calculated as follows
[tex]2F = 2\begin{bmatrix}1 &8 &-2 &-5 &9 \\-9& 10&6 &-3&0\\4&5 &-4 &3 &7 \\2 &-10&-6 & -1& -8\end{bmatrix}= \begin{bmatrix}2 & 16 & -4 & -10 & 18 \\-18 & 20 & 12 & -6 & 0 \\8 & 10 & -8 & 6 & 14 \\4 & -20 & -12 & -2 & -16\end{bmatrix}[/tex]
Now we can add the two matrices element-wise to get the final result:
[tex]4G + 2F = \begin{bmatrix}32 & -20 & 32 & -8 & 40 \\-24 & -28 & 4 & 36 & 8 \\16 & 24 & 12 & 28 & 20 \\-16 & -12 & 0 & -40 & -36\end{bmatrix} +\begin{bmatrix}2 & 16 & -4 & -10 & 18 \\-18 & 20 & 12 & -6 & 0 \\8 & 10 & -8 & 6 & 14 \\4 & -20 & -12 & -2 & -16\end{bmatrix}[/tex]
[tex]4[G] + 2[F] = \begin{bmatrix}34 & -4 & 28 & -18 & 58 \\-42 & -8 & 16 & 30 & 8 \\24 & 34 & 4 & 34\end{bmatrix}[/tex]
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A washer and a dryer cost $770 combined. The washer costs $70 more than the dryer. What is the cost of the dryer?
Answer:
d = $350
Step-by-step explanation:
If we allow d to represent the cost of the dryer and w to represent the cost of the washer, we know that the total cost of the washer and dryer is
d + w = 770.
Since we're told that the washer costs $70 more than the dryer, we know that
w = d + 70
We can substitute equation for w in the original equation to find d:
d + d + 70 = 770
2d + 70 = 770
2d = 700
d = 350
If you went on to find w, you'd see that it'd be 420 since 770 - d = w and 770 - 350 = 420
We know that the dryer costs $350 and the washer costs $420. 420 is indeed $70 more than $350 so our answer for the cost of the dryer is correct.
Ruth has a cylindrical cup that is filled with water. The cup has a diameter of 2 inches and a height of 6 inches. Select the containers that could hold all of the water in Ruth's cup
Since the containers were not given in the question, In a case whereby Ruth has a cylindrical cup that is filled with water where the cup has a diameter of 2 inches and a height of 6 inches, the volume of cylinder cup is 18.85inch^3.
How can the volume be calculated?Note that ; the container were not given in the question, so we will just need to calculate the volume of the cylindrical cup to know how much water it can hold .
The volume of a cylinder can be caluculated using te exppresion π r² h
Then from the question the diameter = 2 inches radius = 2/2 = 1 inches
height =6 inches
π r² h
=π * 1^2 * 6
=18.85inch^3
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2. Ricky wants to make rice cream. Of 1 kilogram of rice, milk2/5 is rice and 1/6 is sugar. Find the quantity of rice and sugar needed for 1 kg of rice milk.
The quantities of rice, milk and sugar needed for 1 kg of rice milk are 0.4 kg, 0.4 kg and 0.167 kg respectively.
To solve the above problem, we can use the following equation:
Rice + Milk + Sugar = 1 kg
Rice = 2/5 (1 kg) = 0.4 kg
Milk = 2/5 (1 kg) = 0.4 kg
Sugar = 1/6 (1 kg) = 0.167 kg
Therefore, the quantities of rice, milk and sugar needed for 1 kg of rice milk are 0.4 kg, 0.4 kg and 0.167 kg respectively.
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the function g(x) = 12x^2-sinx is the first derivative of f(x). If f(0)=-2 what is the value of f(2pi
Answer:
[tex]f(2\pi) = 32\pi^3 - 2[/tex]
Step-by-step explanation:
Main steps:
Step 1: Use integration to find a general equation for f
Step 2: Find the value of the constant of integration
Step 3: Find the value of f for the given input
Step 1: Use integration to find a general equation for f
If [tex]f'(x) = g(x)[/tex], then [tex]f(x) = \int g(x) ~dx[/tex]
[tex]f(x) = \int [12x^2 - sin(x)] ~dx[/tex]
Integration of a difference is the difference of the integrals
[tex]f(x) = \int 12x^2 ~dx - \int sin(x) ~dx[/tex]
Scalar rule
[tex]f(x) = 12\int x^2 ~dx - \int sin(x) ~dx[/tex]
Apply the Power rule & integral relationship between sine and cosine:
Power Rule: [tex]\int x^n ~dx=\frac{1}{n+1}x^{n+1} +C[/tex]sine-cosine integral relationship: [tex]\int sin(x) ~dx=-cos(x)+C[/tex][tex]f(x) = 12*(\frac{1}{3}x^3+C_1) - (-cos(x) + C_2)[/tex]
Simplifying
[tex]f(x) = 12*\frac{1}{3}x^3+12*C_1 +cos(x) + -C_2[/tex]
[tex]f(x) = 4x^3+cos(x) +(12C_1 -C_2)[/tex]
Ultimately, all of the constant of integration terms at the end can combine into one single unknown constant of integration:
[tex]f(x) = 4x^3 + cos(x) + C[/tex]
Step 2: Find the value of the constant of integration
Now, according to the problem, [tex]f(0) = -2[/tex], so we can substitute those x,y values into the equation and solve for the value of the constant of integration:
[tex]-2 = 4(0)^3 + cos(0) + C[/tex]
[tex]-2 = 0 + 1 + C[/tex]
[tex]-2 = 1 + C[/tex]
[tex]-3 = C[/tex]
Knowing the constant of integration, we now know the full equation for the function f:
[tex]f(x) = 4x^3 + cos(x) -3[/tex]
Step 3: Find the value of f for the given input
So, to find [tex]f(2\pi)[/tex], use 2 pi as the input, and simplify:
[tex]f(2\pi) = 4(2\pi)^3 + cos(2\pi) -3[/tex]
[tex]f(2\pi) = 4*8\pi^3 + 1 -3[/tex]
[tex]f(2\pi) = 32\pi^3 - 2[/tex]
Answer:
[tex]f(2 \pi)=32\pi^3-2[/tex]
Step-by-step explanation:
Fundamental Theorem of Calculus[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]
If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given:
[tex]g(x)=12x^2-\sin x[/tex][tex]f(0)=-2[/tex]If g(x) is the first derivative of f(x), we can find f(x) by integrating g(x) and using f(0) = -2 to find the constant of integration.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}[/tex] [tex]\boxed{\begin{minipage}{4 cm}\underline{Integrating $\sin x$}\\\\$\displaystyle \int \sin x\:\text{d}x=-\cos x+\text{C}$\end{minipage}}[/tex]
[tex]\begin{aligned} \displaystyle f(x)&=\int f'(x)\; \text{d}x\\\\&=\int g(x)\;\text{d}x\\\\&=\int (12x^2-\sin x)\;\text{d}x\\\\&=\int 12x^2\; \text{d}x-\int \sin x \; \text{d}x\\\\&=12\int x^2\; \text{d}x-\int \sin x \; \text{d}x\\\\&=12\cdot \dfrac{x^{(2+1)}}{2+1}-(-\cos x)+\text{C}\\\\&=4x^{3}+\cos x+\text{C}\end{aligned}[/tex]
To find the constant of integration, substitute f(0) = -2 and solve for C:
[tex]\begin{aligned}f(0)=4(0)^3+\cos (0) + \text{C}&=-2\\0+1+\text{C}&=-2\\\text{C}&=-3\end{aligned}[/tex]
Therefore, the equation of function f(x) is:
[tex]\boxed{f(x)=4x^3+ \cos x - 3}[/tex]
To find the value of f(2π), substitute x = 2π into function f(x):
[tex]\begin{aligned}f(2 \pi)&=4(2 \pi)^3+ \cos (2 \pi) - 3\\&=4\cdot 2^3 \cdot \pi^3+1 - 3\\&=32\pi^3-2\\\end{aligned}[/tex]
Therefore, the value of f(2π) is 32π³ - 2.
Georgia has 322 beads. She buys 38 more beads. She will use a 120 beats to make bracelets and use the rest of the beads to make necklaces. Each necklace has 9 beads. What is the greatest number of necklacea georgia can make?
Applying mathematical operations, the greatest number of necklaces Georgia can make is 26.
How the mathematical operations are applied:The total number of beads available for making bracelets and necklaces is an addition operation between the beginning inventory of beads and the additional units purchased.
A subtraction operation is performed to determine the remainder after making bracelets.
Finally, a division operation determines the greatest number of necklaces to make.
The beginning inventory of beads = 322
The units purchased = 38 beads
The total number of beads that Georgia has = 360 (322 + 38)
The number of beads required to make bracelets = 120
The remainder after making bracelets = 240 (360 - 120)
The number of beads required for each necklace = 9
The greatest number of necklaces Georgia can make = 26 (240 ÷ 9)
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Can someone help me please
The row operation is given as follows:
Division by 7 = multiplication by 1/7.
The matrix after the row operation is then given as follows:
[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]
How to do the row operation?The matrix in the context of this problem is defined as follows:
[tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex]
The element at row 1 and column 1 is given as follows:
7.
An example of a valid row operation is the multiplication of the row by a constant, and as the element has a value of 7, the constant to obtain a value of 1 is:
7/k = 1
k = 7.
The first row is given as follows:
7, -4 and 8.
Dividing every element of the first row by 7, the resulting matrix is then given as follows:
[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]
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graph the cirlces (x+1)+(y+2)=9
Center :
Note that the graph of the function ((x+1)²+(y+2)²=9) is attached accordingly
What is a graph?A coordinate graph is one that has two axes that are perpendicular to each other. These two axes are known as the x- and y-axes. The y-axis is represented by the vertical line, while the x-axis is represented by the horizontal line. A coordinate plane, a Cartesian plane, and a Cartesian coordinate system are other names for it.
The given circle has a radius of 3 units and centre is (-1,-2).
This circle can thus be drawn by first plotting the point (-1,-2) and then with this point as centre draw a circle of radius 3.
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Full question:
graph the circle
((x+1)²+(y+2)²=9)
The circle below is centered at the point (-3, 4) and has a radius of length 3.
What is its equation?
-10
-5
5
Answer:
C. (x + 3)² + (y - 4)² = 9
Step-by-step explanation:
The equation for a circle is r² = (x - a)² + (y - b)² where "r" is the radius and (a, b) is the center.
We are given that (-3, 4) is the center and the radius is 3, so that means a = -3, b = 4, and r = 3. Insert the values to their respective places in the equation:
3² = (x - (-3))² + (y - 4)²
9 = (x + 3)² + (y - 4)²
Answer:
equation of a circle: (x-a)²+(y-b)²=r²
(x-(-3))²+(y-4)²=3²
(x+3)²+(y-4)²= 9
(x+6x+9)+(y-8y+16) =9
x+6x+9+y-8y+16=9
x+y+6x-8y+9+16-9=0
x+y+6x-8y+16 =0
what is the answer for this question
Answer:
The yellow region is 13.73 cm squared
Step-by-step explanation:
---
Area of square:
[tex]8 * 8 = 64 cm^2[/tex]
Area of the 4 quarter-circles:
[tex]4(\pi r^2)/4[/tex]
The fours cancel each other, we are left with:
[tex]\pi r^2[/tex]
r = 4, so substitute that, we get:
[tex]\pi 4^2 = 16 \pi cm^2[/tex]
Which can be approximated to 50.27 cm squared
Subtract the area of the circle from the square:
[tex]64 - 50.27 = 13.73 cm^2[/tex]
So the area of the yellow region is 13.73 cm squared
If Melisha can pay for her vehicle with a 4-year loan or with a lease with the same down payment and same interest rate, why will the loan have a higher monthly payment?
A. Because the lease is riskier to the financing company.
B. Because the loan is riskler to the financing company.
C. Because Melisha will own her vehicle at the end of the loan.
D. Because Melisha will own her vehicle at the end of the lease.
The loan have a higher monthly payment Because the lease is riskier to the financing company.
To Determine the costs of buying versus leasing a motor vehicle, we need to consider the total costs associated with each option. For buying, the total cost is the sum of the down payment, loan payments, and the estimated value at the end of the loan, minus the resale value of the car.
On the other hand, for leasing, the total cost can be calculated as the sum of the security deposit, lease payments, and end-of-lease charges. We also need to consider the opportunity cost of investing the down payment and the security deposit.
We know that Melisha can pay for her vehicle with a 4-year loan or with a lease with the same down payment and same interest rate.
Therefore, the loan have a higher monthly payment Because the lease is riskier to the financing company.
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Johnny uses a wheelbarrow to move planting soil to a delivery truck. The
volume of planting soil that fits in the wheelbarrow measures 2 feet by 3 feet
by 1.5 feet. The delivery truck measures 11 feet by 8 feet and is 6 feet tall.
Johnny puts planting soil in the delivery truck until the truck is 70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow
until the delivery truck is 70% full?
He will need to use the wheelbarrow at least 41 times to fill the delivery truck to 70% of its capacity.
Define volumeVolume is a measure of the amount of space that a substance or object occupies in three dimensions. It is typically measured in units such as cubic meters (m³), cubic centimeters (cm³), liters (L), or gallons (gal), depending on the system of measurement being used.
First, let's calculate the total volume of the delivery truck:
Volume of delivery truck = length x width x height
Volume of delivery truck = 11 ft x 8 ft x 6 ft
Volume of delivery truck = 528 cubic feet
To fill the delivery truck to 70% of its capacity, Johnny needs to put 0.7 x 528 = 369.6 cubic feet of planting soil in the truck.
Now, let's calculate the volume of planting soil that fits in the wheelbarrow:
Volume of wheelbarrow = length x width x height
Volume of wheelbarrow = 2 ft x 3 ft x 1.5 ft
Volume of wheelbarrow = 9 cubic feet
Number of loads = Total volume of planting soil needed / Volume of each load
Number of loads = 369.6 cubic feet / 9 cubic feet
Number of loads = 41.0666667
Since Johnny cannot use a fraction of a load, he will need to use the wheelbarrow at least 41 times to fill the delivery truck to 70% of its capacity.
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what does it mean the name of the numbers
help
Answer:
It is called as triangular numbers
Step-by-step explanation:
these numbers can be represented as a triangle of dots
The high school basketball team is selling donuts to raise money for the new uniforms. This team Mexico to sell at least $1000 in donuts. They are selling a half dozen box of donuts for eight dollars and a full dozen box of donuts for $12. They write the inequality 8X +12 Y is greater than or equal to 1000 to determine how many boxes they need to sell where X is the number of half dozen boxes and why is the number of four dozen boxes they sell which of the following solutions available in terms of the given context select all that apply.
The team can sell 50 half dozen boxes and 50 full dozen boxes to raise at least $1000.
Understanding Word Problem in Solving MathsWe can derive an inequality from the problem statement which is:
8X + 12Y >= 1000
This inequality represents the amount of money the basketball team needs to raise by selling donuts.
X is the number of half dozen boxes sold
Y is the number of full dozen boxes sold.
To find a solution in terms of the given context, we can plug in different values for X and Y that satisfy the inequality. For example:
If the team sells 50 half dozen boxes and 50 full dozen boxes, they will make:
8(50) + 12(50) = $400 + $600 = $1000
So this is a valid solution that meets the fundraising goal.
If the team sells 100 half dozen boxes and 0 full dozen boxes, they will make:
8(100) + 12(0) = $800
This is not enough to meet the fundraising goal, so it is not a valid solution.
If the team sells 0 half dozen boxes and 100 full dozen boxes, they will make:
8(0) + 12(100) = $1200
This is more than the fundraising goal, so it is a valid solution, but the team may not want to sell so many full dozen boxes.
Therefore, one solution in terms of the given context is that the team can sell 50 half dozen boxes and 50 full dozen boxes to raise at least $1000.
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NEED HELP ASAP! (10POINTS)
The statement that is true on the linear relationship between the brochures and cost of printing is A. the printing fee is $ 2.50.
How to find the printing fee ?To find the printing fee, find the difference between the total cost of two different numbers of brochures printed.
The printing fee is:
= ( Total cost of 43 - total cost of 40 ) / ( Difference between 43 and 40 )
= ( 607.50 - 600 ) / ( 43 - 40 )
= 7. 50 / 3
= $ 2. 50
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Find the degree of the polynomial y = -3x^5 + 4x^4 + 2 + x^2
The degree of a polynomial is the highest exponent of the variable in the polynomial.
In this case, the degree of the polynomial y = -3x^5 + 4x^4 + 2 + x^2 is 5, because the highest exponent of x is 5 (in the term -3x^5). Therefore, the answer is 5.
I am half as old as my sister. In 6 years’ times will be 22. How old am now?
Answer:15
Step-by-step explanation: