2 in
Ben uses clay to make the rectangular prism to the left. Naomi
uses cardboard to make the triangular prism to the right. Compare
the volumes of the prisms. Use pencil and paper. Describe two
(The figures are not to scale) different methods by which you can compare the volumes.
11 in
5 in
in
18 in
5 in
Which statement best compares the volumes of the two prisms?
O A. Naomi's prism has the greater volume.
OB. Ben's prism has the greater volume.
OC. The prisms have the same volume.
Answer:
A
Step-by-step explanation:
Ben uses clay to make the rectangular prism to the left. Naomi uses cardboard to make the triangular prism to the right. Therefore, Naomi's prism has a greater volume.
What is the volume of the rectangular prism?The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.
Volume of rectangular prism = (length x width x height)
Ben uses clay to make the rectangular prism to the left.
Volume of rectangular prism = (length x width x height)
= 11 x 5 x 2
= 110 cubic in
Naomi uses cardboard to make the triangular prism to the right.
The volume of a right triangular prism = ( height× Base Area)
= 4 x 18 x 4
= 288 cubic in
Therefore, Naomi's prism has a greater volume.
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1.2/4=x/28 what is the value of x
Answer:
8.4
Step-by-step explanation:
You want to know the value of x that satisfies 1.2/4 = x/28.
One-step equationThe equation ...
x/28 = 1.2/4
can be solved in one step by multiplying by 28.
x = 28(1.2/4) = 8.4
The value of x is 8.4.
__
Additional comment
The fraction involving x can be cleared by multiplying by its denominator, effectively the inverse of the coefficient of x. This is the same way you solve any similar one-step equation.
Often, you are told to "cross-multiply" a proportion. Doing that gives you ...
4·x = 28·1.2
Then you have to divide by 4 (multiply by the inverse of the coefficient of x) to find the value of x:
x = 28·1.2/4 . . . . same as above.
That is, there is no need to multiply by 4, and then divide by 4. You can simply multiply by 28 and be done.
Answer:
8.4
Step-by-step explanation:
[tex]\frac{1.2}{4}[/tex] = [tex]\frac{x}{28}[/tex]
cross multiply to solve for x:
(1.2)(28) = 4x
4x = 33.6
x = 33.6/4 = 8.4
suppose you have a credit card debt of $6000. Last month, the bank charged you $55 interest on the debt. The solution to the equation 55= 6000/12 * r represents the annual interest rate in the credit card, r. Find the annual interest rate on the credit card
Answer: The formula for the interest charged on a credit card debt is:
Interest = (Principal * Annual Interest Rate) / 12
We know that the interest charged last month is $55, and the principal (the credit card debt) is $6000, so we can substitute these values into the formula and solve for the annual interest rate:
55 = (6000 * r) / 12
To find the annual interest rate, we will solve for r.
r = (55 * 12) / 6000
r = 0.09 which is a 9% annual interest rate.
So, the annual interest rate on the credit card is 9%.
Step-by-step explanation:
plz help me i'm so confused :/
Answer:
Diameter = 14 yd
Step-by-step explanation:
Given:
Area of semicircle = 76.97 yd²
Required:
Diameter of semicircle
Solution:
Area of a semicircle = ½(πr²)
Area = 76.97 yd²
Plug in the values
Thus:
½(π*r²) = 76.97
Multiply both sides by 2
πr² = 2*76.97
πr² = 153.94
Divide both sides by π
r² = 153.94/π
r² = 49.0
Take the square root of both sides
r = √49.0
r = 7 yd
Diameter = 2(r)
Diameter = 2(7) = 14 yd
2 alien spaceships are traveling toward each other from space stations that are 7100 km apart at speed of 110000 km
It would take 116.18 seconds for the space stations that are 7100 km apart at speed of 110000 km to meet
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
The speed of an object is the ratio of the total distance travelled to the total time taken. It is given by:
Speed = distance / time
Distance = Speed * time
The spaceships are moving at 110000 km/h
The distance covered by each in x hours is:
Distance = 110000 * x = 110000x
Since they are 7100 km apart, hence:
110000x + 110000x = 7100
220000x = 7100
x = 0.03227 hours = 116.18 seconds
It would take 116.18 seconds for the spaceships to meet.
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The length of a rectangle is 4 feet more than twice the width. The perimeter is 116. Find the dimensions of the rectangle
The dimensions of the rectangle are 40 and 18 units respectively
What is the area and perimeter of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: The length of a rectangle is 4 feet more than twice the width.
Then let the width be x then length is equal to 2x+4 and therefore the perimeter is 2(2x+4+x)=116
3x+4 = 58
3x = 54
x = 18
Hence, the dimensions of the rectangle are 40 and 18 units respectively.
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Explain why the figure is a parallelogram…. Please I need help ASAP.
Answer:
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Step-by-step explanation:
An art museum opens at 9 am and closed at 5 pm the function V gives the number of visitors in a museum h hours after it opens explain what this statement tells us about the situation: V(5)=36
Answer:
Five hours after the museum opens, there are 36 visitors.
Step-by-step explanation:
V(5)=36 means that when h is 5, V is 36. Assuming this is a function from what information this gives.
95 POINTS!!! To increase business, the owner of a shoe store is running a promotion in which a customer's bill can be selected at random to receive a discount. When a customer's bill is printed, a program in the cash register determines randomly whether the customer will receive a discount on the bill. The program was written to generate a discount with a probability of 0.15; that is, 15% of the bills get a discount in the long run. However, the owner is concerned the program is incorrect and is not generating the intended long-run proportion of 0.15.
The owner selects a random sample of bills and finds that only 12% of them received a discount. A confidence interval for p, the proportion of bills that will receive a discount in the long run, is 0.12 ± 0.05, and all conditions for inference are met.
Consider the confidence interval 0.12 ± 0.05.
Part A: Does the confidence interval provide convincing statistical evidence that the program is not working as intended? Justify your answer. (3 points)
Part B: Does the confidence interval provide convincing statistical evidence that the program generates the discount with a probability of 0.15? Justify your answer. (2 points)
Part C: A second random sample of bills is taken that is six times the size of the original sample. In the second sample, 12% of the bills received the discount. Determine the value of the margin of error based on the second sample of bills used to compute an interval for p with the same confidence level as that of the original interval. (2 points)
Part D: Based on the margin of error in part C that was obtained from the second sample, is the program working as intended? Justify your answer.
An area surrounding a measurement that indicates how accurate it is called a confidence interval.
Let X = The proportion of n randomly selected consumers who receive the discount. So, X = B(n, p), where p is the likelihood that a consumer will receive the discount.
Back-up Theory 100(1 - α) % Confidence Interval for the population proportion, p is:
p ± Zα/2[√{P(1 –p)/n}] ……(1)
where
Zα/2 is the upper (α/2)% point of N(0, 1),
pcap = sample proportion, and
n = sample size.
One can conclude with 100(1 - )% confidence that the population proportion, p, is p if a 100(1 - )% Confidence Interval for p holds a specific hypothesized value of p…………. (2)
Now to work out the solution,
The given confidence interval is: 0.12 ± 0.05 i.e., [0.07, 0.17] or [7%, 17%]……………………. (3)
for Part (a)
equation (2) and (3), [7%, 17%] holds 15%. Hence the statement is NOT valid.
for Part (b)
equation(2) and (3), [7%, 17%] holds 15%. Hence the statement is valid.
For Part (c)
Margin of error is: Zα/2[√{P(1 –P)/n}]
If the sample sizes under Part (c) and (a) are respectively, n2 and n1, the ratio of respective margin of errors would be
[Zα/2.√t{P(1 –P)/n2}]/[Zα/2√{P(1 –P)/n1}]
= √(n1/n2)
= 1/√6 [given the second sample size is 6 times the first sample size]
= 0.4082
= > the margin of error under Part (c) = the margin of error under Part (c) x 0.4082
= 0.05 x 0.4082
= 0.020.
Thus, the margin of error when the sample size if 6-fold is 0.020.
For Part (d)
The revised Confidence Interval from Part (c) is 0.12 ± 0.02 or [0.10, 0.14], which does not hold 0.15 as a result, according to (2), the program is NOT operating as anticipated.
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1) If 6y + 12 = 30, then what does 23 + 7 - 5y =
2) If x + 3x - 2x = 14, then what does 4x + 1 =
3) If d - 9 + 16 = 57 then what does 2d =
4) If p -11 + 3p = 77 then what does 2p / p + 2 =
Step-by-step explanation:
1. you must first find the value of y
[tex]6y + 12 = 30 \\ 6y = 30 - 12 \\ 6y = 18 \\ y = 3 \\ 23 + 7 - 5y \\ 23 + 7 - 5(3) = 15[/tex]
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x - 1.
Answer:
You are correct. The answer is the blue point marked
Step-by-step explanation:
A normal distribution of scores has a standard deviation of 10. Find the z-scores
corresponding to each of the following values:
Answer:
Yes
Step-by-step explanation:
What add up to -3 and multiples to -70
We add (x +7 ) (x - 10) up to -3 and multiply to -70.
What is a quadratic equation?
Any equation in algebra that can be written in the standard form where x denotes an unknown value and a, b, and c denote known numbers, where a 0 is a quadratic equation.
Here,
We illustrate and prove that -9 and 10 multiply to -90 and add up to 1:
7 × -10 = -70
-10 + 7 = -3
We are trying to determine how to factor the following quadratic equation.
x² -3 x - 70 = 0
If so, the solution to factor the quadratic equation above is:
(x +7 ) (x - 10)
To summarize, -10 and 7 multiplied by -70 and add up to -3, you know that the following is true:
x² -3x - 70
= (x +7 ) (x - 10)
Hence, we add (x +7 ) (x - 10) up to -3 and multiply by -70.
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Please answer the following question, AND NO LINKS OR YOU WILL GET REPORTED.
A parallelogram is cut from a piece of fabric. The parallelogram has a height of 8 inches and an area of 120 square inches. What is the length of the base of the parallelogram?
Answer:
The length is 15 inches squared
Step-by-step explanation:
total area / height = length
120 / 8 = 15
What Is ''Seven times the sum of x and five is forty-nine'' written with no words?
Answer:
7(x+5)=49
Step-by-step explanation:
7 times means multiplication, so 7 times the sum of x and five is 7(x+5). When they say is 49, that means 7(x+5)=49
HELP ME NO LINKS I REALLY NEED HELP
Answer:
Mode
Step-by-step explanation:
If you have an outlier, the best way to measure a set of data is the mode, or the number that occurs the most.
Guybrush owns an island monkey preserve which has a length of 2x + 1 units and a width of x – 4 units. If the island is 1,586 square units in size, what are the dimensions of the island? A. 30 units by 30 units B. 30 units by 26.5 units C. 13 units by 122 units D. 61 units by 26 units
Answer:
d
Step-by-step explanation:
61-1/2=30
30-4=26
Use the Parabola tool to graph the quadratic function.
f(x) = 2x2 + 8x + 10
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola
Step-by-step explanation:
f(x) = 2x²+8x+10
vertex point :
x = -8/2(2)= -8/4
=> x = -2 <= this is a symetry axis
f(-2)= 2(-2)²+8(-2)+10=8-16+10=2
the vertex point : (-2, 2)
intercept with y-axis :
f(0) = 0+0+10 = 10
the point : (0, 10)
the drawing as attached
X coordinate of vertex
-8/2(2)-8/4-2y coordinate
y=2(4)-16+10y=-8+10y=2Vertex is at (-2,2)
Put x=0
y=10Graph attached
NEED HELP 25 POINTS !
A special 8-sided die is marked with the numbers 1 to 8. It is rolled 15 times with the results shown in the table.
Results 3 4 5 2 7 1 3 7 2 6 2 1 7 3 6
The experimental probability of rolling an odd number is
%, which is
% more than the theoretical probability.
Answer:
Step-by-step explanation:
Of the twenty times in this experiment the following are prime (3,5,2,7,3,7,2,2,7,3,3,5) or 12 of the twenty
12/20 = 6/10 = 60%
So 60% is the experimental probabilty.
The theoretical probability given that there are four prime numbers (2,3,5,7) out of 8 on the dice should be 50% because 1/2 of the numbers are prime.
The experimental probability is 10% more than the theoretical probability
60% - 50% = 10%
Answer:
60%, 10%
Step-by-step explanation:
Plato/Edmentum
Select the two values of x that are roots of this equation.
x2 - – 5x + 5 = 0
Answer:
Using the Quadratic Formula
x=-b ± √b²-4ac/[2a]
x= -(-5) ± √5² - 4(1)(5)/(2)
x= 5 ± √25-20 /(2)
x= 5 ± √5 /(2)
x= 5 + √5/(2) and 5 - √5/(2)
Answer
B and C
Find the area of the square below.
if im correct, its 9. But I want to double check since I haven't done this in a while!
Answer:
its 9 only
Step-by-step explanation:
cuz the formula of area of square is side²
Answer:
Yeah it's 9. Bcs the area of the square is *side × side*
A square pryamid have a total surface area of 1,477,500ft² and need to find the slant length. The length is 750ft. Find the slant length.
A.) 610in
B.) 610ft
C.) 3,050ft
D.) 3,050in
which of the following best describes the graph below
Option A) In the graph for each value of x there is exactly one value of y
So the function is a One to One function.
What is a function?A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain. For all values of a and b, f = (a,b)|
A function f is said to be injective if it maps different items in its domain to other elements; for example, f = f implies x1 = x2. Alternatively, every element of the function's codomain is at most one of its domain's elements.
If some function output value corresponds to more than one input value, the function is said to be many-to-one (sometimes written as "many-one"). If the domain of f contains two different values a and b such that f(a)=f, the function f is many-to-one in symbols (b).
In the graph for each value of x there is exactly one value of y
So the function is a One to One function.
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pls help I have a hundred points for someone who answers
957÷3=319 this divide answer i hope help you
Hurry help me rq I need an answer fast its for 45 points
Answer:
A) I’m 100% sure it’s correct!
Step-by-step explanation:
Answer:
A. 7
Step-by-step explanation:
[tex]82 - 75 \\ = 7[/tex]
. Solve the following
1. Jane had 4 apples
. She divided them so that she had just enough
fourths of an apple for each friend and herself. How many of them
were there?
20
2. Four-eighths of the class built a diorama while
of them built a
wishing well. Which activity had more members?
15
3. Renee Ann has a rope
that is
6/4 meters long. Baby has one that is 15/10 meters long. Who has a long rope?
Answer:
Step-by-step explanation:
1. If there are 4 apples, each apple has 4 fourths x 4 apples =16 fourths
2. Something is missing???
3. 6/4 x 5/5=30/20, 15/10 x 2/2=30/20 so both are same length
Please help will mark Brainly
Answer: A) solution is 1
Step-by-step explanation:
pls help me will mark brainliest
Answer:
34.84
Step-by-step explanation:
5.2 times 6.7= 34.84
You decide to take a hot air balloon ride and remember to take binoculars to look around while you are airborne. As the balloon rises, you use a GPS to determine your height in meters, h, and the distance in kilometers, d, to the farthest object that you can see. The table below shows the two measurements.
Height in meters 15 30 45 60 75 90 105
Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.598
1. Determine a function that could be used to model the data in the table.
Make sure to use h for height and d for distance.
2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round answer to the nearest whole number
3. What type of function best models the data in the table?
4. A building is 16km away. What height does the balloon have to rise for the building to be visible. Round the answer to nearest whole number.
Therefore , the solution of the given problem of solution of trigonometry d = 33.977 m is the distance from the balloon's base to its apex..
Explain trigonometry.Trigonometry is a discipline of mathematics that examines relationships between triangles' degrees and sides. Trigonometry is used frequently in geometry because every straight-sided form may be broken down into a group of triangles. Trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, have a staggering amount of interrelationships.
Here,
Angle of elevation to the balloon's peak: = 28°
When the balloon is erect, a right triangle is formed by the horizontal distance to the balloon, l, the height of the balloon, h, and the distance to the top of the balloon, d.
Aside from the hypotenuse
l = The leg next to the provided reference angle
,h = The leg perpendicular to the specified angle,
Trigonometric ratios give us;
Cosx is equal to the product of the hypotenuse and adjacent lengths.
where we obtain;
Cos x equals l/d
=>Cos 28 = 30 m /d
=> d = 30m/Cos 28 ≈ 33.977
Therefore , the solution of the given problem of solution of trigonometry d = 33.977 m is the distance from the balloon's base to its apex.
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Brenda has $450 in her checking
account. She withdraws $15 a day for
lunch. Which equation can be used to
find
y, the total in Brenda's checking
account, if x represents the number of
days she bought lunch?
A. y = 450x + 15
B. y = 450 + 15x
C. y = 450 - 15x
D. y = 450x - 15
Need H
Answer:
the answer is B.450 +15x
Answer:
B
Step-by-step explanation: