Answer:
Start at (0,1) and then go up 4 spaces over 1 to the left and repeat going up 4 over 1. To complete the graph by getting it to go behind the y intercept of (0,1) you go from the y intercept down 4 over 1 to the right and repeat going down 4 over 1.
For plotting a line, we need to plot points [tex](0,1)[/tex] and [tex](\frac{-1}{4},0)[/tex] on the cartesian plane and join them to form a line.
What is plotting a line?For plotting a line, we only need two points to graph a line. With that idea, we take advantage of the two “convenient” points which can easily be solved algebraically from the equation of the line; namely, the x-intercept (x,0) and y-intercept (0,y).
[tex]y = 4x + 1\\\\Put\ x = 0 \\y = 1\\we\ get\ (0,1)\ as\ a\ point\ lying\ on\ the\ line. \\\\Put\ y = 0 \\x = \frac{-1}{4} \\we\ get\ (\frac{-1}{4} ,0)\ as\ a\ point\ lying\ on\ the\ line. \\[/tex]
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Unit test
Complete the point-slope equation of the line through (2, 3) and (7, 4).
Use exact numbers.
y
Answer:
y - 4 = 1/5(x-7)
Step-by-step explanation:
Find slope:
4-3 / 7-2
1 / 5
y - y1 = m(x-x1)
y - 4 = 1/5(x-7)
mark brainliest pls
Olive plots (4,−3π2)on the polar plane.
How does she proceed?
What you need to write in each blank is:
1) positive x-axis.
2) negative x-axis.
3) positive y-axis.
How to plot the point on the polar plane?
To plot a point (R, θ) on the polar plane. First, if R is positive the angle is measured from the positive x-axis, if R is negative, the angle is measured from the negative x-axis.
Because here R is 4, positive, the point will lie on the x-axis. Then, she needs to move it clockwise by an angle of (3/2)pi (a total of 3 quadrants) This means that the point will end up in the positive y-axis.
So what you need to write in each blank is:
1) positive x-axis.
2) negative x-axis.
3) positive y-axis.
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A new car worth $30,000 loses 22% of its value every year. What does the graph of the value of this car look like?
Answer:
Exponential growth
Given the LCM(Lowest common factor) of 14 and k is 140. Find the smallest value of k.
The smallest value of k when the LCM(Lowest common factor) of 14 and
k is 140 is 10.
What are factors?Factors are numbers or algebraic expressions that divide another number or expression evenly
From the question,
If 14 and k is 140
⇒ (14×k) = 140
⇒ 14k = 140
⇒ k = 140/14
⇒ k = 10
Hence, the smallest value of k is 10.
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how many times greater is 8.5x10^8 than 42x10^7 in scientific notation
Step-by-step explanation:
first, let's bring them to the same exponent of 10.
8.5 × 10⁸ is already scientific notation
42 × 10⁷ = 4.2 × 10⁸ (this is now scientific notation AND it is using the same exponent of 10)
so, how many times is the first one greater ?
(8.5 × 10⁸) / (4.2 × 10⁸) = 8.5 / 4.2 = 2.023809524...
so, the first number is 2.023809524... times greater than the second number.
maybe you made a typo ?
maybe the second number was actually 42.5 × 10⁷ ?
because then
42.5 × 10⁷ = 4.25 × 10⁸
and
8.5 / 4.25 = 2
so,
8.5 × 10⁸ is 2 times greater than 42.5 × 10⁷ or 4.25 × 10⁸.
solve the equation 6=5x+2
Hi Student!
Looking at this problem, it is pretty straight forward and we don't need to do much information gathering to help answer our question. The main point is that we just need to solve the equation also known as solving for the unknown variable.
Subtract 2 from both sides
[tex]6= 5x + 2[/tex][tex]6 - 2 = 5x + 2 - 2[/tex][tex]4 = 5x[/tex]Divide both sides by 5
[tex]\frac{4}{5} = \frac{5x}{5}[/tex][tex]\frac{4}{5} = x[/tex]Therefore, our final solution to this problem is that x is equal to 4/5 or we can convert this to a decimal to which we will then get 0.8.
pleaseeeee i need help
Answer:
110687192.78951, 6488.47368421, 4214, 0.0464, 0.03626
SIMPLIFIED WAY OF SAYING IT:
Last One to First Box
3rd One to 2nd Box
1st one to 3rd box
2nd one to 4th box
4th one to 5th box
Step-by-step explanation:
(4.3*10^(6))*(9.8*10^(-4)) = 4,214
(2.9*10^7)*(1.6*10^-9) = 0.0464
(4.7*10^3)*(8.6*10^-7)/(3.8*10^-4)*(6.1*10^2) = 6488.47368421
(4.9*10^3)*(7.4*10^-6) = 0.03626
Last one = 110687192.78951
Angles A and B are vertical angles. If mZA = 155 then what must be the measure of angle B?
mZB=
degrees
Answer:
Angle B is 155 degrees
Step-by-step explanation:
Vertical angles are congruent; they have the same angle measure.
[tex]m\angle{A} = 155 \cong m\angle{B} = 155[/tex]
Pls help it’s due Friday !!!
Answer:
Square C is comprised of the areas of squares A and B
It proves that this triangle is a right triangle
By adding the areas of two perfect squares, A and B, square C can only be the sum. This proves the Pythagorean Theorem to be true, as the ratios to the sides, and therefore the equation, will remain fixed in any scalene right triangle.
Step-by-step explanation:
It doesn't really need further explanation
I like this question, though :)
Bobby and a few friends split the cost of pontoon
boat rental to go scalloping. How much would it
cost each of the 8 friends, if the rental costs $310
total?
Answer:
see below
Step-by-step explanation:
Each person payed a specific amount, so you would divide the rental cost by the amount of people and get $38.75 per person
The volume of a cylinder is 1,600pie cubic centimeters.the height is 16 centimeters.what is the radius of the cylinder?
Answer:
Radius = 10
Step-by-step explanation:
Volume of a cylinder=πr^2h
1600πcm^3=πxr^2x16
π cancels out
1600=r^2x16
1600/16=r^2
100=r^2
√100=r
r=10
Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in the table.
A cylinder.
Model 1
radius: 14 cm
height: 48 cm
diagonal: 50 cm
Model 2
radius: 6 cm
height: 35 cm
diagonal: 37 cm
Model 3
radius: 20 cm
height: 40 cm
diagonal: 60 cm
Model 4
radius: 24 cm
height: 9 cm
diagonal: 30 cm
In which model does the lateral surface meet the base at a right angle?
Answer:
The answer would be B or 2
Step-by-step explanation:
Answer:
model 2 or B
Step-by-step explanation:
A ______ is a deduction from the original price of an item.
Answer:
Discount
Step-by-step explanation:
A discount is a deduction from the original price of an item.
3. The school library has 475 books.
If the librarian buys 12 books a
month for 5 months, how many
books will the school have then!
Answer:
The school will have 535 books.
Step-by-step explanation:
12 books a month * 5 months = 60 additional books.
60 + 475 = 535 books.
Answer:
535
Step-by-step explanation:
12*5 = 60
475 + 60 = 535
\HOPE THIS HELPS
The side length, s, of a cube is 4x2 3. if v = s3, what is the volume of the cube? 64x6 144x4 108x2 27 64x6 48x4 12x2 1 4x6 36x4 108x2 27 4x6 12x4 12x2 1
The volume of the cube given the dimensions of the side length is [tex]64x^{6} + 144x^{4} + 108x^{2} + 27[/tex]
What is the volume of the cube?A cube is a 3-dimensional object that has six faces, twelve edges and eight vertices.
Volume of a cube = a³
Where a = length of a side
(4x² + 3) × (4x² + 3) = 16x^4 + 24x² + 9
(16x^4 + 24x² + 9) × (4x² + 3) = [tex]64x^{6} + 144x^{4} + 108x^{2} + 27[/tex]
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For her 16th birthday party Patriot got a birthday cake with a radius of 10 centimeters. her dad cut her a slice of cake with a central angle of 20 degrees.
A. convert the angle measure of Patty's slice to radians.
B. find the area of Patty's slice of cake Leave your answer interms of pie.
C. Find the perimeter of Patty's slice of cake.
Answer:
Part A
To convert degrees to radians, multiply the given value by π/180°.
[tex]\begin{aligned}\implies 20^{\circ} & =20^{\circ} \times \dfrac{\pi}{180^{\circ}} \: \sf rad\\ & =\dfrac{1}{9} \pi \: \sf rad\end{aligned}[/tex]
Part B
Given:
r = 10 cm[tex]\theta=\dfrac{1}{9} \pi[/tex][tex]\begin{aligned}\textsf{Area of a sector of a circle} & =\dfrac12 r^2 \theta\\\\\implies \textsf{Area of slice of cake} & =\dfrac{1}{2} \cdot 10^2 \cdot \dfrac{1}{9} \pi\\\\& = \dfrac{50}{9} \pi \: \sf cm^2\end{aligned}[/tex]
Part C
Given:
r = 10 cm[tex]\theta=\dfrac{1}{9} \pi[/tex][tex]\begin{aligned}\textsf{Perimeter} & = 2r + \textsf{arc length}\\& = 2r + r \theta \\& = 2(10)+10\left(\dfrac{1}{9} \pi \right) \\& = 20 + \dfrac{10}{9} \pi \\& = 23.4906585\\& = 23.5\: \sf cm \:(1 \:dp)\end{aligned}[/tex]
Evaluate the expression 2x2+5y2 when x=−4 and y=3.
2x²+5y²
= 2×(-4)²+5×3²
=2×16+5×9
= 32+45
=77
The price of a book is $1 more than twice the price of a pen. The total price of 5 books and 4 pens is $47. Find the price of a pen and of a book.
Answer:
They just have to go, 'cause they don't know wack
Step-by-step explanation:
E Word mellem with addition et subtraction of 2 decimals Abdulu put 1253 gallons of fuel to cart There were 6.9 gallions in the car to begin with How much fuel is in Abdul's car now? 2
Answer:
We saw in the last video that when you multiply or you divide numbers, or (I guess I should say when you multiply or divide measurements) your result can only have as many significant digits as the thing with the smallest significant digits you ended up multiplying and dividing. So just as a quick example, if I have 2.00 times (I don't know) 3.5 my answer over here can only have 2 significant digits This has 2 significant digits, this has 3. 2 times 3.5 is 7, and we can get
can someone help me with this?
Answer:
45
Step-by-step explanation:
We know that B is 90 because its a right angle, and in that triangle it has to add up to 180
So 180 - 90 = 90
90 ÷ 2 = 45
And thats a right angled triangle so it has a right angle and two equal angles.
Hope it helps :))
A grocery store has advertised a sale on ice cream. Each carton of any flavor of ice cream costs $5.25
A. If Millie buys one carton of strawberry ice cream and one carton of chocolate ice cream, write a
algebraic expression that represents the total cost of buying the ice cream.
B. Write an equivalent expression for your answer in part (a).
C. Explain how the expressions are equivalent.
Each carton of any flavour costs same
THE COST IS $5.25so
Total cartons:-
One strawberry+One chocolate2Total cost
2(5.25)$10.5Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis. Α = 0. 09 for a right-tailed test
From the z table the critical value corresponding to the level of significance level for a two-tailed test is z = 1.64.
How do form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test.
The hypothesis which we put against the null hypothesis is an alternate hypothesis.
The null hypothesis is the one that researchers try to disprove.
From the question, we are told that
The number of observations is greater than 50 i.e. n > 50
The level of significance is [tex]\alpha = 0.1[/tex]
Generally given that n > 30 then we will make use of the z table
So From the z table the critical value corresponding to the level of significance level for a two-tailed test is z = 1.64.
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Line segment SU is dilated to create S'U' using point Q as the center of dilation.
The scale factor of the dilation is:
If a point divides any line segment into two equal parts, then the point is the mid-point of that line. The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.
To find the scale factor of the dilation, we need to find the ratio from initial point of the line segment to the distance from the point that is lie on that line segment.
Following points can be concluded from the given conditions.
It is shown in the figure that the distance from Q to S is 4 unit, and the distance from Q to S' is 8 unit.The distance from Q to U is 5 unit and the distance from Q to U' is 10 unit.U and S both are the mid-points of the line segment QU' and QS' respectively.The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.
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HELP ASAP
Which of the following equations are linear functions?
I. 3x + 4y = -6
II. y = -4x + 7
III. 5x2 + 3y = 12
Choose one answer.
A. I
B. II and III
C. I, II, and III
D. I and II
Answer:
I and II
Step-by-step explanation:
In a 'linear function,' the exponents of x and y are both 1.
This characteristic is found in both I and II but not in III (which is a quadratic function).
If 7a+3b=20 and 3a+7b=10, what is a+b?
Answer:
3
Step-by-step explanation:
7a+3b=20
3a+7b=10
Substitution:
[tex]\begin{bmatrix}3\cdot \frac{20-3b}{7}+7b=10\end{bmatrix}[/tex]
[tex]a=\frac{20-3\cdot \frac{1}{4}}{7}[/tex]
[tex]a=\frac{11}{4},\:b=\frac{1}{4}[/tex]
11=4 + 1=4 = 12/4
12/4 = 3
The following dot plot shows how many pets each customer own before entering Jeremy‘s pet store today each that represents one customer based on this data what is a reasonable estimate for four of the probability that the next customer to enter Jeremy‘s pet store has exactly 3 pets
Answer:
0.23
Step-by-step explanation:
Was the answer on khan academy
Giving brainlyest to the person with the correct answer :)
Answer:
He will need a total of 168.8 total gallons of oil.
He will need 34.4 gallons of oil for machine A.
He will need 134.4 gallons of oil for machine B.
Please Vote Me Brainliest. Thank You.
-5 is a(n)
A
whole number and irrational number.
B
integer and rational number.
C
rational number only.
D
integer only.
In the diagram, Find y.
PPPPPLLLSSS HELP THIS IS LEGITEWWFAE I ONLY HAVE 20 MINSW
Answer:
56 units^2
Step-by-step explanation:
Area of a parallelogram = base length times height length
Base = 7 units
Height = 8 units
A = BH
A = 7x8
A = 56 units^2