Answer:
5 units to the left
Step-by-step explanation:
From the preimage with vertices A, B, C, D to the image with vertices A', B', C', D', we can see that the parallelogram has been translated (moved without changing the shape) 5 units to the left.
A. Plot points that show the volume when r=1, r=2, r=3, and .r=4.
B. Show your reasoning.
To plot points that show the volume of a sphere for different values of the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr^3
For different values of the radius, we can substitute those values into the formula and calculate the corresponding volume.
A. Plotting points for r = 1, 2, 3, and 4:
When r = 1, V = (4/3)π(1)^3 = (4/3)π ≈ 4.19
When r = 2, V = (4/3)π(2)^3 = (4/3)π(8) ≈ 33.51
When r = 3, V = (4/3)π(3)^3 = (4/3)π(27) ≈ 113.1
When r = 4, V = (4/3)π(4)^3 = (4/3)π(64) ≈ 268.1
We can plot these points on a graph with radius on the x-axis and volume on the y-axis:
B. Reasoning:
As we can see from the formula for the volume of a sphere, the volume increases rapidly as the radius increases. In fact, the volume increases with the cube of the radius, which means that a small increase in radius can result in a significant increase in volume. This is why we see such a rapid increase in volume as we increase the radius from 1 to 4.
The graph of the volume of a sphere versus its radius is a curve that starts at zero when the radius is zero (i.e., a point) and increases rapidly as the radius increases. It is a smooth, continuous curve that does not have any sharp turns or corners. This is because the formula for the volume of a sphere is a smooth, continuous function of the radius, with no sudden jumps or changes.
Markus ran 2 1/3 miles each day for 7 days last week. Sofia ran 3 1/4 miles each day for 5 days last week. Which statement about the runners is true?
A.
Sofia ran 11/12 mile farther than Markus ran last week.
B.
Markus ran 1/12 mile farther than Sofia ran last week.
C.
Sofia ran 1/12 mile farther than Markus ran last week.
D.
Markus ran 11/12 mile farther than Sofia ran last week.
Answer:
Step-by-step explanation:
First, solve the problems:
MARKUS :
2[tex]\frac{1}{3}[/tex] x [tex]\frac{7}{1}[/tex]= 16 [tex]\frac{1}{3}[/tex] -----> 5 [tex]\frac{1}{3}[/tex] mles
SOFIA :
3[tex]\frac{1}{4}[/tex] x [tex]\frac{5}{1}[/tex] = 16 [tex]\frac{1}{4}[/tex] -----> 16 [tex]\frac{1}{4}[/tex]
Help. Please?
True or False: “All prime numbers are odd numbers.” Justify with numbers, words, and/or a diagram. (There's no need for a diagram but if you have extra time explain it so I can post a diagram.)
Answer:
False. All prime numbers greater than 2 are odd numbers, but 2 is the only even prime number.
Step-by-step explanation:
A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each. A second machine has 4 different animal-shaped rubber bands (lion, elephant, horse, and alligator) and an equal chance of dispensing each. If you buy one item from each machine, what is the probability of getting a yellow gumball and a lion band? Enter your answer as a decimal.
Answer: 1.25 please give me brainliest
Step-by-step explanation:
Can someone please help
Answer:
I think the answer is c
Step-by-step explanation:
Sorry if i am wrong, also pleas give me Brainliest
Determine if the graph shows a proportional relationship.
Graph with x axis labeled distance miles and y axis labeled time hours. A line begins at point 0 comma 0 and continues to the right.
No, it is not proportional because the line does not intersect with the origin.
No, it is not proportional because the x-axis and y-axis are not labeled correctly.
Yes, it is proportional because it is a line that intersects with the origin.
Yes, it is proportional because the x-axis and y-axis are labeled correctly.
-22 = -2 + 4x
helppp
Answer:
Step-by-step explanation:
-22 = -2 + 4x
-22+2=4x
-20=4x
-20/4=x
-5=x
x=-5
Preimage polygon VWYZ and image polygon V′W′Y′Z′ are shown on a coordinate plane.
What transformation takes polygon VWYZ to polygon V′W′Y′Z′?
Vertical translation
Reflection across the x-axis
Reflection across the y-axis
90° clockwise rotation
Answer:
reflection across the x axis
PLS HELP MAX COINSSS!! WILL GIVE BRAINLIEST! DIRECTIONS: Given each exponential table below, determine the common ratio and y-intercept (as a coordinate point). If the common ratio is a fraction, write it in the form (n/d). Then, write the equation of the line in the form y=a(b)^x. If you are correct, the answer box will turn green. If you are incorrect, the answer box will turn red.
Answer:
1) y=2(5)^x
y-intercept: 2
2) y=9(1/3)^x
y-intercept: 9
3) y=8(1/2)^x
y-intercept: 8
4) y=12(4)^x
y-intercept: 12
5) y=10(2)^x
y-intercept: 10
6) y=18(1/3)^x
y-intercept: 18
7) y=50(1/2)^x
y-intercept: 50
8) y=14(2)^x
y-intercept: 14
9) y=16(1/4)^x
y-intercept: 16
Step-by-step explanation: The y-intercept is the coordinate where x is 0.
To write the equation, simply substitute b for the ratio and a for the y-intercept.
If you need more help, search "Exponential Equation Given A Table" by Mario's Math Tutoring.
Good luck!
A tree grows 1.5 feet per year. The tree is now 6 feet tall. Which sets of steps show ways to determine how many years the tree will take to be 27 feet tall?
Select the TWO correct answers.
A. 1.5x+6=27
1.5x=21
x=14
The tree will take 14 years to be 27 feet tall.
B. 27-6=21
21÷1.5=14
The tree will take 14 years to be 27 feet tall.
C. 1.5(x+6)=27
x+6=18
x=12
The tree will take 12 years to be 27 feet tall.
D. 1.5x+6=27
x+6=18
x=12
The tree will take 12 years to be 27 feet tall.
E. 27÷1.5=18
18-6=12
Answer:
Step-by-step explanation:
Answers are A and B.
Facts given are :
Current height = 6 ft
Growth per year = 1.5 ft
Final height = 27
Explanation for A:
Assume it takes 'x' number of years.
initial height + growth in 'x' years = Total height of the tree after 'x' years
6 + 1.5x = 27
1.5x = 27 -6 = 21
(1.5 can be written as 3/2) 3x/2 = 21
3x = 42
x = 14
hence, number of years = 14
Explanation for B:
After 'x' years,
Final height - initial height = Growth in 'x' years
27 - 6 = Growth in 'x' years
21=Growth in 'x' years = 1.5x
21= 3x/2
42=3x
14=x
hence, number of years = 14
An experiment is conducted with a bag of marbles containing 5 red and 2 blue marbles. The results of a marble being drawn twice and replaced 100 times are shown in the table.
Find P(no red).
50 over 100
25 over 100
21 over 100
19 over 100
Answer:
its 21 over 100
Step-by-step explanation:
it is because when we do the probability we will get to know that the answer is 21 over 100
Please Help me out... I have to have this by 8pm
Answer:
2/7
Step-by-step explanation:
Multiply top and bottom by 5 or in other words, cancel out the 5s
Answer: 2/7
Step-by-step explanation: 2
5
÷
7
5
=
2
5
×
5
7
=
2 × 5
5 × 7
= 10
35
= 10 ÷ 5
35 ÷ 5
= 2/7
Its a complex explanation, but I hope this helps.
Rita is painting the walls in the playrooms at the daycare center. She estimates that she will need 1/4 gallon of paint for each wall. How many walls can she paint with 5 gallons of paint?
Answer:
20 walls can be painted.
Step-by-step explanation:
Rita needs to use ¼ a gallon per wall. So, using 1 gallon would result in painting 4 walls.
5 gallons times 4 would be 20.
So, with five gallons, 20 walls can be painted.
What is the volume of a rectangular box that is 18 centimeters long, 11 centimeters wide and 5 centimeters height?
Answer:
990 cm 3
Step-by-step explanation:
18 X 11 X 5 = L X W X H
Answer:
990 cm 3
Step-by-step explanation:
The length of the rectangular box is 18, the width of the rectangular box is 11, and the height of the rectangular box is 5 and you multiply all of them and get 990
Hope this helped
Determine the direction and degree of rotation used to create the image.
90° counterclockwise rotation
270° clockwise rotation
90° clockwise rotation
180° counterclockwise rotation
Answer: 90° clockwise rotation
Step-by-step explanation:
The rules for rotation are below:
90° clockwise rotation = (x, y)→(y, -x)
270° clockwise rotation = (x, y)→(-y, x)
180° counterclockwise rotation = (x, y)→(-x, -y)
90° counterclockwise rotation = (x, y)→(-y, x)
Let's take point B. Point B's coordinates are (3, -2). Point B' is (-2,-3). -x would be -3, and y stays the same.
Therefore, the answer is 90° clockwise rotation.
For additional resources, check out "Rotation Rules 90, 180, 270 degrees" by Math in Minutes.
Good luck!
Bjorn is making aush, and he does not have enough of all the ingredients. He decides to make 5/6 of a whole recipe, which means he uses 1 1/4 L of water.
How much water is in a whole recipe?
____?
Answer:
1[tex]\frac{1}{2}[/tex]
A recipe called for 8 cups of broth. A cook used 5 cups of broth to make the recipe. By what percent did the cook decrease the number of cups of broth the recipe calls for?
A. 67.5
B. 40
C. 60
D. 37.5
Answer:
D. 37.5
Step-by-step explanation:
In order to calculate percent decrease you need to follow this formula:
((Starting value - Ending value) / Starting value) x 100
Now we plug the numbers into the formula and solve:
((8-5)/8) x 100
3/8 x 100
0.375 x 100
37.5%
Hope this helps!
Which part of this box plot includes about 50% of the data?
A.
There is not enough information to tell.
B.
The box, from 44 to 52
C.
The lower whisker, from 34 to 44
D.
The upper whisker, from 52 to 59
Answer:
B
Step-by-step explanation: The box represents the middle 50% of the data, with the bottom and top of the box representing the first and third quartiles, respectively. The line inside the box represents the median.
The whiskers extend from the box to show the range of the data, excluding outliers. Outliers are typically shown as individual points outside the whiskers.
Based on this information, we can see that the box in the box plot represents the middle 50% of the data. Therefore, the answer is B. The box, from 44 to 52, includes about 50% of the data.
Calculate the distance between the ordered pairs (1, 0) and (-4, 0). Show your work
Answer: 5
Step-by-step explanation:
The formula for distance is d = √((x2-x1)2 + (y2-y1)2)
Substitute the x's and the y's for the ordered pairs.
d=√ (1-(-4))²+(0-0)²
=√ (5)²+(0)²
=√(25)
= 5
Good luck on your homework!
Answer: 5
Step-by-step explanation:
A small tree that is 8 feet tall casts a 4-foot shadow, while a building that is 24 feet tall casts a shadow in the same direction. Determine the length of the building's shadow..
6 feet
12 feet
18 feet
48 feet
Answer:
the lenght of building shadow is 12 feet
Step-by-step explanation:
as the lenght of shadow of small tree is half of its Length therefore the shadow of building is half of its lenght which is 12 feet
What is the distance between the Y intercept for function one and function 2
Use the equation below to find v, if u=17, a=4, and t=8. 4=u+at
Answer:
This is not a valid equation, as the left-hand side is not equal to the right-hand side.
Therefore, there may be an error in the given equation or values. Please check and provide the correct equation or values, so that we can help you find the value of v.
Step-by-step explanation:
The given equation is:
4 = u + at
where u = 17, a = 4, and t = 8.
Substituting the given values, we get:
4 = 17 + 4(8)
Simplifying the right-hand side:
4 = 17 + 32
Combining like terms:
4 = 49
This is not a valid equation, as the left-hand side is not equal to the right-hand side.
Therefore, there may be an error in the given equation or values. Please check and provide the correct equation or values, so that we can help you find the value of v.
Can someone please tell me this answer? ASAP
What is the vault of q/6 + (1/2 - r) when q = 4 and r = 3/8
how would you draw a rectangular prism 2 units long and 2 units wide and a height of 3 units??
Answer:
It should look like the attachment below.
Hope this helped!
PLEASE HELP MEEEE
Give a real life example of when someone might need to know the surface area of something.
Please give a detailed answer to earn full credit.
Answer: If someone was going to replace the flooring in a house/room, they would need to calculate the surface area in order to purchase the correct amount of material.
Step-by-step explanation:
-3 (x- 4/5) ≤ 6 solve step by step
What is the surface area?
Use this formula- A= 1/2 bh
Answer:960 m is the right answera
Step-by-step explanation:
after doing it with the given formula the answer will be 960
How long is the above fish if each can is about 4 ¾ inches?
Answer:
33.25 = 33 1/4
Step-by-step explanation:
times 4 3/4 by 7
4 3/4 X 7 = 33.25 = 33 1/4
Triangle ABC is dilated about the origin to create triangle A′B′C′.
Determine the scale factor used to create the image.
three fourths
2
one half
2.5
Answer:
no one know this one but it is 16