The cost at which both video rental plans are the same is $48, which occurs when a customer borrows 20 DVDs in a month.
Explanation:The student asked about the cost at which both video rental plans offered by a company would be equal in value. To find this, we need to establish an equation for each plan and set them equal to each other. The first plan includes a membership fee of $8 and charges $2 for every DVD borrowed, which can be represented as cost = $2 × number of DVDs + $8. The second plan is a flat rate of $48 per month for unlimited rentals.
Now we set the equations equal to each other: $2 × number of DVDs + $8 = $48. Solving for the number of DVDs would look like this:
Subtract $8 from both sides: $2 × number of DVDs = $40Divide both sides by $2: number of DVDs = 20Therefore, the break-even point where both plans cost the same amount is at 20 DVDs borrowed. At this point, the customer would pay $48 with either plan.
Conner works 8 1/2 hours and earns $80.75. If Zoey makes an hourly rate that is proportional and earns $118.75, how many hours did she work? Plz show work:)
A. 8 1/2
B. 10
C. 12 1/2
D. 13
Answer:
Step-by-step explanation:
In 8 hours 30m Corner earns $80.75
In how many hours Zoey earns $118.75
Hours Zoey works= 510*118.75/80.75(converted 8hours into minutes by multiplying with 60)
Solving we get 12 hours 30m.
Math help pleaseeeee
Answer:
[tex]x^{\frac{4}{5} }[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{x^{m} }[/tex]
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex], hence
[tex]\sqrt[5]{x}[/tex] = [tex]x^{\frac{1}{5} }[/tex], thus
[tex]x^{\frac{1}{5} }[/tex] × [tex]x^{\frac{1}{5} }[/tex] × [tex]x^{\frac{1}{5} }[/tex] × [tex]x^{\frac{1}{5} }[/tex]
= [tex]x^{\frac{4}{5} }[/tex]
Answer:
[tex] x^{\frac{4}{5} }[/tex]
Step-by-step explanation:
We are given the following expression and we are to determine its most simplified form:
[tex] \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } [/tex]
We know that [tex] \sqrt [ 5 ] { x } [/tex] [tex] = x ^ { \frac { 1 } { 5 } } [/tex]
And since we have four of these like terms so the power of x will become 4, thus making it [tex] x ^4 [/tex].
When [tex] x ^ 4 [/tex] is combined with the square root 5, we get:
[tex]x^4 \times x^{\frac{1}{5}} = x^{\frac{4}{5} }[/tex]
If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.
Answer: OPTION D.
Step-by-step explanation:
The formula for calculate the circumference of a circle is:
[tex]C=2r\pi[/tex]
Where r is the radius.
The formula for calculate the area of a circle is:
[tex]A=r^2\pi[/tex]
Where r is the radius.
Solve for r from [tex]A=r^2\pi[/tex] to calculate it:
[tex]r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft[/tex]
Subsitute the radius into [tex]C=2r\pi[/tex]. Then:
[tex]C=(2)(4.296ft)\pi=26.99ft[/tex]
Answer:
D. 26.99 ft
Step-by-step explanation:
The formula for area of a circle is
A = πr², where r is the radius. We are given A = 58, so plug that in to find r...
58 = πr² solve for r...
58/π = r² (divide both sides by π)
√(58/π) = r (take the square root of both sides)
now simplify...
(√58)/(√π) = r
[(√58)(√π)]/[(√π)(√π)] = r
[√(58π)]/π = r
The formula for circumference is C = 2πr, where r is the radius....so we have
C = 2π([√(58π)]/π) now simplify...
C = 2√(58π) (the 2 pi's cancel out)
C = 26.9972124 (crunch in your calculator)
If the sphere shown above has a radius of 10 units, then what is the approximate volume of the sphere?
A.
400 cubic units
B.
1,666.67 cubic units
C.
666.67 cubic units
D.
1,333.33 cubic units
The approximate volume of the sphere is 4188.79 cubic units.
Calculating the volume of a sphere.
A sphere is a three-dimensional round object. The volume of a sphere can be calculated by using the formula [tex]\dfrac{4}{3} \pi r^3[/tex].
In the given question, the radius of the sphere is stated to be 10 units. So, the volume of the sphere can be determined by replacing the value of the radius into the equation. i.e.
[tex]V= \dfrac{4}{3}\pi r^3[/tex]
[tex]V= \dfrac{4}{3} \times \pi \times (10)^3[/tex]
V = 4188.79 cubic units.
Therefore, the approximate volume of the sphere is 4188.79 cubic units.
Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangle with a length of 9 cm and a width of 6 cm. B) A rectangle with a length of 15 cm and a width of 9 cm. C) A rectangle with a length of 14 cm and a width of 7 cm. D) A rectangle with a length of 12 cm and a width of 8 cm.
Answer:
B
Step-by-step explanation:
10/6=5/3=15/9
Answer:
B) A rectangle with a length of 15 cm and a width of 9 cm
Step-by-step explanation:
In similar figures sides are in proportion .The given rectangle A has length and width in the ratio 10:6=5:3.
For option A ratio of sides for the rectangle = 9:6=3:2
For option B ratio of sides =15:9=5:3
For option C ratio of sides =14:7=2:1
For option D ratio of sides =12:8=3:2.
Option B that is A rectangle with a length of 15 cm and a width of 9 cm has the same ratio of sides as that of rectangle with side 10 cm and width 6cm.
Hence the two rectangles are similar.
Describe what happens when a number is added to its opposite.write an equation that shows a number b being to its opposite
Answer:
The answer comes out as 0.
Step-by-step explanation:
An example is 1 which the opposite is -1. Add them together, what do you get? 0.
Answer:
when its added to its opposite it becomes zero oviousldsfyasld;fjkl;aly
b + -b = 0
7 + -7 = 0
what is 14% of 40 million?
14% of 40,000,000 is 5,600,000
A square has a side length of 36 feet. This square is dilated by a scale factor of 2/3 to create a new square. What is the side length of the new square?
Answer:
24 feet
Step-by-step explanation:
got it right on ttm :)
Nathan and Cody are both making pizza dough at different pizzerias. Nathan uses 3 cups of water for every 8 cups of flour. Cody uses 4 cups of water for every 12 cups of flour. Use tables of equivalent ratios to determine who will use more cups of water when Nathan and Cody each use 48 cups of flour.
A.
Nathan will use 8 cups of water and Cody will only use 5 cups of water, so Nathan will use more cups of water.
B.
Cody will use 16 cups of water and Nathan will only use 11 cups of water, so Cody will use more cups of water.
C.
Cody will use 8 cups of water and Nathan will only use 6 cups of water, so Cody will use more cups of water.
D.
Nathan will use 18 cups of water and Cody will only use 16 cups of water, so Nathan will use more cups of water.
Answer:explanation:
The answer is B because Nathan will use more cups
Answer:
D
Step-by-step explanation:
Nathan uses 3 cups of water for every 8 cups of flour. Cody uses 4 cups of water for every 12 cups of flour. Create tables of equivalent ratios for Nathan and Cody to find who uses more cups of water when each use 48 cups of flour.
When they each use 48 cups of flour, Nathan will use 18 cups of water and Cody will only use 16 cups of water, so Nathan will use more cups of water.
if f(x)=x^2+2x-3 and g(x)=x^2-9, find (f/g)(4) and (f+g)(4)
Answer:
Part 1: Find (f/g)(4) = 3
Part 2: Find (f+g)(4) = 28
Step-by-step explanation:
Part 1: Find (f/g)(4):
(f/g)(4) means divide f function by g function and simplify it. Then plug in 4 into x of that simplified function.
Let's do this:
[tex]\frac{x^2+2x-3}{x^2-9}\\=\frac{(x+3)(x-1)}{(x-3)(x+3)}\\=\frac{x-1}{x-3}[/tex]
Plugging in 4 into x gives us:
[tex]\frac{x-1}{x-3}\\=\frac{4-1}{4-3}\\=\frac{3}{1}\\=3[/tex]
The answer is 3
Part 2: Find (f+g)(4):
(f+g)(4) means add f function and g function and simplify it. Then plug in 4 into x of that simplified function.
Let's do this:
[tex](x^2+2x-3)+(x^2-9)\\=2x^2+2x-12[/tex]
Plugging in 4 into x gives us:
[tex]2x^2+2x-12\\=2(4)^2+2(4)-12\\=28[/tex]
The answer is 28
Answer: the first one is -11 and the second one is 0
step-by-step explanation:
someone answered your question but it was wrong so i had too guess and got the real answers since you know ... i ended up getting it wrong lol so yea
Which table best represents the graph of the equation theta = 45 degrees
Answer: The first option.
Step-by-step explanation:
The function is:
θ(r) = 45°
so we have a constant function (because r does not apear in the right side of the equation), this means that for every value of r, we have that θ(r) is equal to 45 degrees.
then the correct answer is the first table, because for every value of r we have that the value of theta is the same.
Table 1 best represents the graph of the equation θ(r)= 45°.
It is given that
θ(r)= 45°, which is a constant function.
What is a constant function?For a constant function, the value of the dependent variable is the same for each value of the independent variable.
So, θ will remain constant for all values of r.
r =1, θ=45°
r =2, θ=45°
r=3, θ=45°
r=4,θ=45°
Therefore, Table 1 best represents the graph of the equation θ= 45°.
To get more about function visit:
https://brainly.com/question/2292795
How would the graph of the function y=x2-8 be affected if the function were changed to y=x2-3
A) the graph would shift 3 units down
B) the graph would shift 5 units to the left
C) the graph would shift 5 units down
D)the graph would shift 5 units up
Answer:
D) The graph would shift 5 units up.Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
------------------------------------------------------------------
We have f(x) = x² - 8
f(x) = x² - 8 add 5 to both sides
f(x) + 5 = x² - 3
Therefore your answer is D)
The graph of the function y=x^2-8 would shift 5 units up if changed to y=x^2-3, due to the increase in the constant term.
When comparing the functions y=x^2-8 and y=x^2-3, a change in the constant term represents a vertical shift of the graph. The constant term in the function y=x^2-8 is -8, and in the function y=x^2-3 it is -3. Since -3 is greater than -8 by 5, the graph will be shifted up by 5 units. Therefore, the correct answer to how the graph of the function would be affected is that it would shift 5 units up.
(5-2i)+(3+4i)-(-6+2i)
Simplify
5 - 2i + 3 + 4i - (-6 + 2i)
Simplify brackets
5 - 2i + 3 + 4i + 6 - 2i
Collect like terms
(5 + 3 + 6) + (-2i + 4i - 2i)
Simplify
= 14
The equation (5-2i)+(3+4i)-(-6+2i) simplifies to 14 after adding real parts and imaginary parts separately, resulting in the complex number 14+0i which simplifies to 14.
Explanation:The student's question involves complex number addition and subtraction. To solve the equation (5-2i)+(3+4i)-(-6+2i), we combine like terms, which means separately adding the real parts and the imaginary parts of the complex numbers. The real parts are 5, 3, and 6 (because we subtract a negative, which becomes plus), which add up to 14. The imaginary parts are -2i, 4i, and -2i (again, subtraction of a negative becomes addition), which add up to 0i. Therefore, the final answer is 14+0i, which simplifies to 14.
Katie put a $980 item on layaway by making a down payment of 14% of the purchase price. How much does she have left to pay after making the down payment?
Answer:
$842.8
Step-by-step explanation:
It says that Katie already paid the 14% of the item as a down payment, so she needs to pay the remaining 86% of the item.
To get that, it is:
$980 x 86% = $842.8
Beth had planned to run an average of 6 miles per hour in a race. She had a very good race and actually ran at an average of 7 miles per hour, finishing ten minutes sooner than if she had averaged 6 miles per hour. How long was the race? 6 miles? 7 miles? 18 miles? 60 miles? 70 miles?
Answer:
(x/7) = actual time
Step-by-step explanation:
Find 4 1/5 · 7 2/3.
A. 28 2/15
B.28 3/10
C. 32 1/5
D. 32 3/5
Answer:
D. 32 3/5
Step-by-step explanation:
4 1/5 * 7 2/3
Change each number to an improper fraction
4 1/5 = (5*4+1)/5 = 21/5
7 2/3 = (3*7+2)/3 = 23/3
Multiply these together
21/5 * 23/3
483/15
Change this back to a mixed number
15 goes into 483 32 times (32*15 =480) with 3 left over
32 3/5
Answer:
The answer to this problem is C. 32 1/5.
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator then add the numerator to it. Apply this to both fractions individually.
21/5 * 23/3
Step 2: Multiply the fractions.
21/5 * 23/3 = 483/15
Step 3: Simplify the fraction into the simplest form.
483/15 simplifies to 32 3/15 and then simplifies to its simplest form 32 1/5.
same way of solving
Answer
96 inches cubed
Step-by-step explanation:
Ok, same way of solving then. Just with a few more useless numbers. Take rectangular prism A, 6in x 3in x 3in, you will get 54in^3.
Then take prism B, 2in x 3in x 7in, you will get 42in^3.
Finally, take those two numbers, add them, and you end up with 96in^3
SIMPLIFY. WILL MARK BRAINLIEST
Here is your answer. x^5-3x^4+6x^2+x-9
1/4×[(-6.8)+(10.4)]+54.3
Answer:
55.2
Step-by-step explanation:
This question can be solved using pemdas. In order of operations, parenthesis come first. So you will do -6.8 + 10.4 to get 3.6. From there it goes to exponents (none), then to multiplication. So multiply 3.6 by 1/4, or .25 to get 0.9. Then just add .9 onto 54.3 to get 55.2 and that's your answer!
Hope this helped, please mark brainliest i need to feed my family ^_^
Tomas drew a rectangle with an area of six square centimeters what is the greatest possible perimeter for this rectangle
Answer:
Perimeter=10
Step-by-step explanation:
The reason i got this was because a rectangles area is base times hight. Also if you draw a rectsngle and make it into 3 rows and 2 colums the area would be 6, and if you count the outside not including the very corners, you will get a perimeter of 10
The answer please !!
Answer:
[tex]\frac{DE}{PQ}=\frac{3}{2}[/tex]
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional
In his problem
If Triangles DEF and PQR are similar
then
The corresponding sides are
DF and PR
FE and RQ
DE and PQ
so
[tex]\frac{DF}{PR}=\frac{FE}{RQ}=\frac{DE}{PQ}=\frac{3}{2}[/tex]
One way to determine if a given point is on the graph of a linear equation is by checking to see if it is a solution to the equation true or false
Find the slope or the y-intercept.
So please explain this including the formula please i will give 98 points!!
Answer:
V =20.4 in^3
Step-by-step explanation:
The formula for volume of a triangular prism is
V = B *h
B is the area of the triangle which is 1/2 b*h
B = 1/2 (2.5) (3.4)
The height is 4.8 in
V = 1/2 (2.5) (3.4) * 4.8
V =20.4 in^3
Answer:
V =20.4 in^3 is your answer
Step-by-step explanation:
The area of a square can be found using the equation A= s2, where A is the area and S is the measure of one side of the square. Match the equation for how to slice for the side length of a square to its description.
Answer: [tex]s = \sqrt{81}[/tex]
Step-by-step explanation: A= s^2, A = 81
81 = s^2
[tex]\sqrt{81} = \sqrt{s^{2} }[/tex]
s = [tex]\sqrt{81}[/tex]
Answer:
Option 2nd is correct
[tex]s = \sqrt{81}[/tex] inches
Step-by-step explanation:
The area of a square can be found using the equation:
[tex]A=s^2[/tex] ....[1]
where,
A is the area of square
s is the measure of one side of the square.
Given that:
A square has an area of 81 square inches.
⇒A = 81
Substitute in [1] we have;
[tex]s^2 = 81[/tex]
⇒[tex]s =\pm \sqrt{81}[/tex]
∵Side of square cannot be in negative.
⇒[tex]s = \sqrt{81}[/tex] inches
Therefore:
A square has an area of 81 square inches →[tex]s = \sqrt{81}[/tex] in
PLEASE HELP
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −12
0 −6
1 0
g(x)
g(x) = 2x + 6
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answer:
1.the slope of the function f(x) is greater than the slope of the function g(x)
2. the y intercept in the function g(x) is the greater
Step-by-step explanation:
1. plot the graph for the function f(x)
identify points in on the line, i.e (2,6) and (1,0)
find the slope of function f(x)= change in y/change in x
m=(6-0)/2-1 = 6
equation for the function f(x)= {y-6/x-2}=6
y-6=6x-12
y=6x-6
2. the equations for functions
f(x) is given by y=6x-6
g(x) is given by y=2x+6
y intercept for f(x) =- 6
y intercept for g(x)= +6
g(x) has greater y intercept.
QUESTION A
We can use any two points from the table to determine the slope of the linear function represented by table.
We use (0,-6) and (1,0).
We use the formula,
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
[tex]m = \frac{0 - - 6}{1 - 0} = 6[/tex]
For the second function
[tex]g(x) = 2x + 6[/tex]
This function is of the form;
[tex]y = mx + c[/tex]
where
[tex]m = 2[/tex]
is the slope.
The slope of f(x) is greater than the slope of g(x).
Part B
At y-intercept , x=0.
From the table, x=0 when y=-6.
Therefore f(x) has y-intercept -6.
For
[tex]g(x) = 2x + 6[/tex]
the y-intercept is 6.
Therefore g(x) has greater y-intercept.
Plz help !!!!!!!!!!!!!
Answer: [tex]\bold{\large{a^{\frac{1}{2}}b^{\frac{1}{2}}}}[/tex]
Step-by-step explanation:
[tex]\sqrt{ab}=(ab)^{\frac{1}{2}}=\large{\boxed{a^{\frac{1}{2}}b^{\frac{1}{2}}}}[/tex]
Write the answer to the questions below: The * means multiply.
-3.078 + 1,367 = ____
-8 * 2 + (-6 * 6) = ____
¾ + 278 + -24.5 = _____
Answer:
1. 1363.922
2. -52
3. 254.25
Solve the equation.
8 (4 - x) = 7x + 2
Answer:
2
Step-by-step explanation:
8 ( 4 - x ) = 7x + 2
(Expand brackets
32 - 8x = 7x + 2
(-7x from both sides)
-15x = -30
(Divide by -15 from both sides)
x=2
Answer:
x = 2
Step-by-step explanation:
8(4 - x) = 7x + 2
Distribute the 8 on the left side.
32 - 8x = 7x + 2
Subtract 7x from both sides.
32 - 15x = 2
Subtract 32 from both sides.
-15x = -30
Divide both sides by -15.
x = 2
Match the term with the definition. Please help me
Question 1 options:
Angle
Parallel Lines
Perpendicular Lines
Plane
Circle
1. a flat surface that extends infinitely and has no depth; it has length and width
2. two lines that intersect at 90° angles
3. two lines that lie within the same plane and never intersect
4. a set of all points in a plane that are a given distance from a point
5. a figure consisting of two rays with a common endpoint
1)Plane
2)Perpendicular Lines
3)Parallel lines
4)Circle
5)Angles
Final answer:
The five geometric terms—Plane, Perpendicular Lines, Parallel Lines, Circle, and Angle have been matched with their respective definitions using principles of Euclidean geometry.
Explanation:
Matching the geometric terms with their definitions will allow you to better understand the basic concepts of Euclidean geometry.
Plane: A flat surface that extends infinitely and has no depth; it has length and width.
Perpendicular Lines: Two lines that intersect at 90° angles.
Parallel Lines: Two lines that lie within the same plane and never intersect.
Circle: A set of all points in a plane that are a given distance from a point.
Angle: A figure consisting of two rays with a common endpoint.
Now you can match the terms to their definitions:
Plane - Definition 1
Perpendicular Lines - Definition 2
Parallel Lines - Definition 3
Circle - Definition 4
Angle - Definition 5
How many 1 metre fence panels and how nany 2 metre face panels do you need to put fencing all around the plot?
Please help.
Answer:
You need 8 2 metre face panels and 2 1 metre face panels
This is because the 2 metre face panels will completely cover the both of the 4 metre sides, and almost cover the 5 metre sides.
Then you will need 1 2 metre face panel for each of the 5 metre sides to complete the fence.
Hope I helped
Step-by-step explanation: