Answer:
anything else you need me to bring anything for you to come over and watch the kids tonight and I will be there in about the work I do not have a good day at work love you too baby girl I love you too baby a
Which could be a first step in solving the equation
1/4 x + 1/2 = 3/4x
in an efficient way? Select two answers.
A.
multiply by 4 on both sides
B.
multiply by 2x on both sides
C.
subtract 1/4x from both sides
D.
add 1/2 from both sides
A first step in solving the equation 1/4 x + 1/2 = 3/4x will be answer A multipllied by 4 on both sides.
What is an equation?
The equation is actually a relationship between the numbers and the variables.The given equation is 1/4 x + 1/2 = 3/4x
Now the solution of the equation will be:-
1/4 x + 1/2 = 3/4x
By multiplying with 4 the equation will become:-
x+2=3x
3x-x=2
2x=2
x=1
Hence the solution of the given equation will be x=1
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Answer:A
Step-by-step explanation:
Multiplying each by 1/4.We have;4x1/4 + 4x1/2 = 4x3/44/4 + 4/2 = 12/41 + 2 = 33=3This is the most effective way.
HELPPP!!!!
Solve this system of equations using the inverse of a matrix.
-x +y = 8
4x + 3y = 12
x - 7y + z = 15
The Solution of -x +y = 84, x + 3y = 12, x - 7y + z = 15 be [tex]\; \left[\begin{array}{ccc}x\\y\\z\end{array}\right] \; =\left[\begin{array}{ccc}-1.76\\6.24\\60.76\end{array}\right][/tex]
The correct option is (C)
What is inverse of Matrix?The inverse of matrix is another matrix, which on multiplying with the given matrix gives the multiplicative identity.
Given equation are:
-x +y = 8
4x + 3y = 12
x - 7y + z = 15
So,
[tex]\left[\begin{array}{ccc}-1&1&0\\4&3&0\\1&-7&1\end{array}\right] \;*\; \left[\begin{array}{ccc}x\\y\\z\end{array}\right] \; = \; \left[\begin{array}{ccc}8\\12\\15\end{array}\right][/tex]
then,
[tex]\; \left[\begin{array}{ccc}x\\y\\z\end{array}\right] \; = \; \left[\begin{array}{ccc}-1&1&0\\4&3&0\\1&-7&1\end{array}\right]^{-1} \; \left[\begin{array}{ccc}8\\12\\15\end{array}\right][/tex]
Now, Calculating the inverse of Matrix we have,
[tex]\left[\begin{array}{ccc}-1&1&0\\4&3&0\\1&-7&1\end{array}\right]^{-1} \;[/tex] = [tex]\left[\begin{array}{ccc}-3/7&1/7&0\\4/7&1/7&0\\31/7&6/7&1\end{array}\right][/tex]
so, [tex]\; \left[\begin{array}{ccc}x\\y\\z\end{array}\right] \; = \;\left[\begin{array}{ccc}-3/7&1/7&0\\4/7&1/7&0\\31/7&6/7&1\end{array}\right]\; \left[\begin{array}{ccc}8\\12\\15\end{array}\right][/tex]
[tex]\; \left[\begin{array}{ccc}x\\y\\z\end{array}\right] \; =\left[\begin{array}{ccc}-12/7\\44/7\\425/7\end{array}\right][/tex]
[tex]\; \left[\begin{array}{ccc}x\\y\\z\end{array}\right] \; =\left[\begin{array}{ccc}-1.76\\6.24\\60.76\end{array}\right][/tex]
Hence ,[tex]\; \left[\begin{array}{ccc}x\\y\\z\end{array}\right] \; =\left[\begin{array}{ccc}-1.76\\6.24\\60.76\end{array}\right][/tex]
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Scores on a recent administration of the SAT were approximately normally
distributed with a mean of 980 and a standard deviation of 135. Between what 2
scores would you expect to find about 95% of all test-takers?
Blank #1
Blank #2
Answer:
25 to 3 power ÷ 3 = 69
Part A: Explain why x = 6 makes 4x − 5 ≤ 19 true but not 4x − 5 < 19. (5 points)
Part B: What value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? Show your work. (5 points)
This solution shows that 6 is included in the solution due to the equal sign and not true for the inequality 4x − 5 < 19 since 6 is excluded
Inequality expressionInequalities are equation not separated by an equal sign
Given the inequality expression
4x − 5 ≤ 19
4x ≤ 19 + 5
4x ≤ 24
x≤ 6
This solution shows that 6 is included in the solution due to the equal sign and not true for the inequality 4x − 5 < 19 since 6 is excluded
Given the equation
4x + 3 = 23
4x = 23 - 3
4x =20
x = 5
Hence 5 is the solution from the given set
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Please help me on this!
The positive integer for which g(x) first exceeds f(x) is 178 according to the number line.
What is the function of f(x)?The function f of (x) is used to denote a linear algebra that can be represented on the graph.
Given that:
f(x) = 2x + 15[tex]\mathbf{g(x) = 11(1.02)^x}[/tex]We are to determine a positive integer for which g(x) first exceeds f(x). Using the following option;
f(x) = 2(371) + 15 = 757g(x) = 11(1.02)³⁷¹ = 17063.04f(x) = 2(177) + 15 = 369g(x) = 11(1.02)¹⁷⁷ = 366.11f(x) = 2(370) + 15 = 755g(x) = 11(1.02)³⁷⁰ = 16728.47f(x) = 2(178) + 15 = 371g(x) = 11(1.02)¹⁷⁸ = 373Therefore, we can conclude that the positive integer for which g(x) first exceeds f(x) is 178 according to the number line.
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I need help for brainliest
Answer:
46 cm²Step-by-step explanation
the figure is composed of a square with an isosceles right triangle inside, we find the area of the square and we take away the area of the triangle.
Triangle area = lxl, right-angled triangle area side by side divided by two.
square area8 * 8 = 64cm²
Triangle area
6 * 6 : 2 = 18 cm²
Area of the shaded region
64 - 18 = 46 cm²
You are given a vector in the xy plane that has a magnitude of 87. 0 units and a y component of -66. 0 units. Determine the direction of a vector
You are given a vector in the XY plane that has a magnitude of 87. 0 units and a y component of -66. 0 units. The direction of the vector V is;
How to know the direction of a vector?We know that the formula for 2 vectors like this in the x and y directions is; A = xi^ + yj^
Where A is the magnitude of the resultant
x is the value of the x-component
y is the value of the y-component
We are given;
Magnitude of vector = 84 units
Y-component of the vector = -67 units
Thus,
[tex]A = \sqrt(x^2 + y^2)\\\\87 = \sqrt(x^2+ (-66)^2)\\\\87^2= x^2+ 4356\\\\7569 = x^2+ 4356\\\\x= \sqrt(7569 - 4356)\\\\x = 56.68 units[/tex]
From A above, let us take the positive value of the x-component and as such our original vector will be;
A = 56.68i^ - 66j^
The direction of the vector V is;
[tex]\theta = tan^{-1} \dfrac{y}{x} \\\\\theta = tan^{-1} \dfrac{-66}{56.68} \\\theta =-27.15°[/tex]
Since it points entirely to the negative x-axis, then the angle is;
180 - (-27.15) = 207.15°
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I need help on 11A, I got the answer as 5.046cm but the book says it's 8.37 cm
Answer:
[tex]\textsf{Area of a triangle}=\dfrac{1}{2} ab \sin C[/tex]
(where [tex]a[/tex] and [tex]b[/tex] are the sides, and [tex]C[/tex] is the included angle)
[tex]\textsf{Area of a sector}= \dfrac{\theta}{360} \pi r^2[/tex]
(where [tex]\theta[/tex] is the angle in degrees and [tex]r[/tex] is the radius)
Therefore, using the above formulas:
[tex]\begin{aligned}\textsf{Area of segment } \rm (A) & = \textsf{area of sector}- \textsf{area of triangle}\\& = \dfrac{\theta}{360} \pi r^2 - \dfrac{1}{2}r^2 \sin \theta\\\end{aligned}[/tex]
Given:
[tex]\theta[/tex] = 90°A = 20 cm²Substitute the given values into the formula and solve for r:
[tex]\begin{aligned}\implies 20 & = \dfrac{90}{360} \pi r^2 - \dfrac{1}{2}r^2 \sin 90\\\\20 & = \dfrac{1}{4} \pi r^2 - \dfrac{1}{2}r^2 (1)\\\\20 & = \left(\dfrac{1}{4} \pi -\dfrac{1}{2}\right)r^2\\\\20 & = \left(\dfrac{\pi -2}{4}\right)r^2\\\\r^2 & = 20\left(\dfrac{4}{\pi -2}\right)\\\\r^2 & =\dfrac{80}{\pi-2}\\\\r & =\sqrt{\dfrac{80}{\pi-2}}\\\\r & = 8.37\: \sf (2\:dp)\end{aligned}[/tex]
The mechanic does 6 oil changes 2 hours. How many oil changes can the mechanic do in 8 hours?
Answer:
24
Step-by-step explanation:
6/2 = x/8
x=24
24 oil changes
if f(c)=2x^2-x, find f(-4) - f(9)
Answer:
-13f
Simplify by combining the sum of 4 + 9 with the term "f" and assume integers will be negative.To convert
Convert 0.75 liter to milliliters.
Enter your answer in the box.
mL
Answer:
750 mL
Step-by-step explanation:
Unit Conversion Rate
1 Liter (L) = 1000 Milliliters (mL)Solving
1 x 0.75 L = 1000 x 0.75 mL0.75 L = 750 mLAnswer:
750
Step-by-step explanation:
.75 x 1000 = 750
multiply volume value by 1000
hope this helps!
A particle moves on the circle x2 y2=25 in the xy-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=6. What is the value of dydt at this time?
The movement of the particle on the circle is its displacement.
The value of dy/dt at this time is -9/2.
What is the differentiation?Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables.
A particle moves on the circle x^2 + y^2=25 in the XY-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=6.
The equation of the circle is given as:
[tex]\rm x^2 + y^2=25[/tex]
Differentiate with respect to time
[tex]\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0[/tex]
Substitute all the values in the equation
[tex]\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0\\\\2(3) \times 6+2(4)\times \dfrac{dy}{dt}=0\\\\ 6 \times 6+8 \times \dfrac{dy}{dt}=0\\\\ 36+8\times \dfrac{dy}{dt}=0\\\\ 8\times \dfrac{dy}{dt}=-36\\\\ \dfrac{dy}{dt}= \dfrac{-36}{8}\\\\ \dfrac{dy}{dt}= \dfrac{-9}{2}[/tex]
Hence, the value of dy/dt at this time is -9/2.
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Mrs. Eaton's dass is participating in the "Box Teps for Education campaign. On the first day, her
class collected 2 lops. On the third day, her dass collected 8 tope. Let D represent each collection
day and N represent the number of tops collected on that day.
Based on the situation, John daims the number of tops colected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
Is the number of tops collected on the abath day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?
Number of tops on 6th day based on exponential model:
Number of tops on the 6th day based on the linear model:
The number of tops on the 6th day based on the exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
First day class collected = 2 tops
Third day class collected = 8 tops
The exponential function can be modelled:
[tex]\rm D(N) = 2^N[/tex]
D(1) = 2 (first day)
D(3) = 8 (third day)
D(6) = 64 (sixth day)
The linear function can be modeled:
D(N) = 3N -1
D(1) = 2 (first day)
D(3) = 8 (third day)
D(6) = 17 (sixth day)
Thus, the number of tops on 6th day based on exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.
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Find the area inside one leaf of the rose: r=6sin(6theta)
The area inside one leaf of the rose: r=6sin(6θ) is 3π/2 after evaluating the integral over the limit 0 to π/6
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have:
r=6sin(6θ)
First we have to find the limits:
r = 0
6sin(6θ) = 0
θ = nπ/6
n = 0 to n = 1
θ = 0 to θ = π/6
[tex]\rm Area = \int\limits^{\dfrac{\pi}{6}}_0 {6sin6\theta} \, d\theta[/tex]
After calculating the above definite integral, we will get:
Area = 3π/2
Thus, the area inside one leaf of the rose: r=6sin(6θ) is 3π/2 after evaluating the integral over the limit 0 to π/6
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What is 3 3/4 x = 1 1/4
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
1. Convert both mixed numbers into improper fractions:
[tex]\frac{15}{4} x = \frac{5}{4}[/tex]
2. Multiply both sides by 4:
4 · [tex]\frac{15}{4} x=\frac{5}{4}[/tex] · 4
15x = 5
3. Isolate x:
x = 1/3
hope this helps!
What is the median?
Answer:
6
Step-by-step explanation:To find the median, first order your data. Then calculate the middle position based on n, the number of values in your data set. If n is an odd number, the median lies at the position (n + 1) / 2. If n is an even number, the median is the mean of the values at positions n / 2 and (n / 2) + 1.
Answer:
6
Step-by-step explanation:
is 14/4 rational or irrational
Answer:
Rational
Step-by-step explanation:
All fractions are rational numbers but it is not necessary that all rational numbers are fractions.
Have a nice day! :)
find x if the ekvation is
x-3x+7x/2-1=9
Step-by-step explanation:
i got confused whether it is 7/2 or /2-1
i will mark brainliest!
The completed code to generate and save a number in the program which allow a user to guess a number from (1,10) is input.
What is a program in coding?Program or programming is the combination of codes. These codes are used to generate the program such that a machine can understand the inputs given to it.
The program is written to allow a user to guess a number. This number should be between the number 0 to 10.
Here, the input is needed to a machine or computer, for which it's process the number and show if the guessed number is correct or not.
Hence, the completed code to generate and save a number in the program which allow a user to guess a number from (1,10) is input.
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What is the length of the hypotenuse of the triangle when x=14
The length of the hypotenuse will be equal to H=122.25 when value of x=14.
What is pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.
It is given that:
Value of x=14
The perpendicular is =6x+5=6x14+5=89
The base is =6x=84
So by using the Pythagorean theorem:-
[tex]H^2=P^2+B^2\\\\\\H^2=89^2+84^2\\\\\\H=\sqrt{89^2+84^2}\\\\\[/tex]
Hence the value of hypotenuse will be H=122.25
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52% of students in a class have brown hair. If 4 students are chosen at random, what is the probability that exactly 3 have brown hair? Write your answer in percent rounded to the nearest whole number.
Answer:
[tex]P(X=3)\approx27\%[/tex]
Step-by-step explanation:
Use the binomial distribution
[tex]\displaystyle P(X=k)=\binom{n}{k}p^k(1-p)^{n-k}\\\\P(X=3)=\binom{4}{3}(0.52)^3(1-0.52)^{4-3}\\\\P(X=3)=\frac{4!}{3!(4-3)!}(0.52)^3(0.48)^1\\ \\P(X=3)=0.26996736\\\\P(X=3)\approx0.27\\\\P(X=3)\approx27\%[/tex]
Therefore, the probability that exactly 3 students out of 4 randomly chosen students have brown hair is about 27%
Find the area of the following region. The region outside the circle r=3 and inside the circle r=-6cos theta
The region outside the circle r = 3 and inside the circle r = - 6cos θ is given below.
[tex]\rm Area = \dfrac{12\pi - 9\sqrt3 }{2}[/tex]
What is an area bounded by the curve?When the two curves intersect then they bound the region is known as the area bounded by the curve.
The region outside the circle r = 3 and inside the circle r = - 6cos θ
Then the value of the θ will be
[tex]\begin{aligned} -6\cos \theta &= 3\\\\\cos \theta &= -\dfrac{1}{2}\\\\\theta &= -\dfrac{2\pi}{3}, \dfrac{2\pi}{3} \end{aligned}[/tex]
Then the area will be given as
[tex]\rm Area = \dfrac{1}{2} \int_{-\frac{2\pi}{3}}^{\frac{2\pi}{3}} [-6 \cos \theta)^2 - 3^2 ] d \theta \\\\\\Area = \dfrac{1}{2} \int_{-\frac{2\pi}{3}}^{\frac{2\pi}{3}} [18 (2\cos ^2 \theta ) - 9]d \theta \\\\\\Area = \dfrac{9}{2} \int_{-\frac{2\pi}{3}}^{\frac{2\pi}{3}} [2(1 + \cos 2\theta ) - 1] d \theta \\\\\\Area = \dfrac{9}{2} \int_{-\frac{2\pi}{3}}^{\frac{2\pi}{3}} [2 \cos 2\theta ) + 1] d \theta \\\\[/tex]
[tex]\rm Area = \dfrac{9}{2} [ \sin 2\theta + \theta ] _{-\frac{2\pi}{3}}^{\frac{2\pi}{3}} \\\\\\ Area = \dfrac{9}{2} [ \sin 2( \frac{2\pi}{3}) +\frac{2\pi}{3} - \sin 2 (\frac{2\pi}{3}) - \frac{2\pi}{3}] \\\\\\[/tex]
On simplifying, we have
[tex]\rm Area = \dfrac{12\pi - 9\sqrt3 }{2}[/tex]
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Kim projects an image using a ratio
of image measurements to projection
measurements of 2:9. A car in the
image has a width of 0.2 meter. Find
the width of the car in the projection.
x represents the
y represents the
Equation:
The width
projection is
the car in the
meter.
Answer:
= 0,16m
Step-by-step explanation:
we are given the ratio there the 2 is for the image 9 is for the car so we say 9 divide by 11 multiply by 0,2
A seesaw has a plank of 4.5 m long which is supported by a pivot at its center and moves in a vertical plane above the pivot. If the height of the pivot pillar above the ground is 1 m, through what maximum angle can the seesaw beam move?
Since the pivot pillar is 1 m above the ground, maximum angle can the seesaw beam move is 26.39°
The maximum angle can be gotten using trigonometric ratios answer the question,
What are trigonometric ratios?Trigonometric ratios are the ratios of the sides of a triangle.
What are angles?Angles are a measure of rotation or bearing.
Given that the seesaw plank is 4.5 m long and the pivot pillar is 1 m above the ground, when the seesaw is at maximum angle, it forms a right angled triangle with the ground.
It also forms a smaller similar triangle with the same maximum angle Ф which is gotten from the trigonometric ratio
sinФ = h/L where
h = height of pivot pillar above ground = 1 m and L = length of midpoint of plank = 4.5m/2 = 2.25 mMaximum angle seesaw beam can moveSo, Ф = sin⁻¹(h/L)
= sin⁻¹(1 m/2.25 m)
= sin⁻¹(1/2.25)
= sin⁻¹(0.4444)
= 26.39°
So, maximum angle can the seesaw beam move is 26.39°
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how many times greater is the vuale in 4 in 547 than 4 in 84
Answer:
10 times
Step-by-step explanation:
4 in 547 is equal to 40
4 in 84 is equal to 4
When you separate that number into smaller parts
Ex: 547 = 500 + 40 + 7
evaluate the expression [tex](-0.3)^4[/tex]
the value of the expression is
The value of the expressions (-0.3)⁴ equal to 0.0081.
What is a mathematical expression?A mathematical expression is the representation of numbers in the form of powers or mathematical signs.
Here we have the (-0.3)⁴
Now by evaluating the expression we will get:
(-0.3)⁴=(-0.3x-0.3x-0.3x-0.3)
Hence the value of the given expression will be 0.0081
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PLEASE HELPPP
The function f is giving by
f(x) = (x - 2)(x +4). What are the x-intercepts of the graph representing f?
Answer:
X intercepts are (-4,0) and (2,0)
Step-by-step explanation:
use the desmos graphing calculator for a simple answer
theres 1 circle split into 4 parts 1/4 in each and another circle with 8 parts and 1/8 in each m/4=6/8
Answer:
m = 3
Step-by-step explanation:
see image.
6/8 = 3/4
Use the picture in the problem or use algebra to find m. See image.
Look at this set of 5 numbers: 21471 By how much would the mode decrease if the number 1 were added to the set?
Answer:
ZeroStep-by-step explanation:
The mode is the number of most repeated data in the set.
Given set 2, 1, 4, 7, 1 has mode 1 (repeated twice).
If we add 1 to the set the mode will remain 1 as it will repeat three times, so the mode won't change.
There is no change in mode, so the mode decrease is zero.
Answer:
The mode would not decrease
Step-by-step explanation:
Given set of numbers: 2, 1, 4, 7, 1
The mode is most frequently occurring data value.
Therefore, 1 is the mode of the given data set as there are two of this data value.
If we add 1 to the data set, the set becomes: 2, 1, 4, 7, 1, 1
Therefore, 1 is still the mode since there are now three of this data value.
In conclusion, the mode would stay the same.
An article sells for $415. 80. You wish to discount it by 20%. At what price will you offer it after the discount?
Answer:
$332.64
Step-by-step explanation:
Since we are applying a discount to a price tag, we will be decreasing the amount of that price tag.
In this case, we will be taking 20% off of $415.80. This means that our new price tag will be 80% of what it originally was. To find the answer, we must first change 80% into a decimal.
80% -> [tex]\frac{80}{100}[/tex] -> 0.980
Next, we multiple $415.80 by 0.80 as shown below:
[tex]415.80(0.80)[/tex]
Our answer will be:
$332.64