nCr=8C2=28 coefficient
28*p^2*q^6=.2965
the base of a right rectangular pyramid has a length of 12 centimeters, a width of 6 centimeters, and a height of 14 centimeters. Describe the cross section formed by a horizontal plane that intersects the faces of the pyramid above the base.
You and your friend covered a total distance of 72 kilometers in a bicycle relay race. The tape diagram shows how the distance was covered in 9 equal parts.
Answer:
Question 1.. A. Question 2.. C Question 3.. D. Question 4.. D. Question 5.. C.
Question 6.. A. Question 7.. B. Question 8.. B. Question 9.. B.
A full grain silo empties at a constant rate. write an expression to determine the amount of grain left after s seconds
Rate: 3.5 ft 3/s
I'm asking this question again because this is urgent!
To calculate the remaining amount of grain in a silo discharging at a constant rate, we subtract the total amount discharged (rate times time) from the initial amount. This can be expressed as 'G = I - 3.5s' where 'G' is the amount of grain left after 's' seconds, 'I' is the initial amount, and '3.5' is the discharge rate in ft3/s.
Explanation:If the silo empties at a constant rate, it can be modeled with linear equations. In this case, the rate of grain being emptied from the silo is 3.5 units of grain every second. Please note that to find the amount of grain left after a certain amount of time, we need to know the initial amount of grain in the silo, let's call it 'I'.
For your problem the general mathematical expression would be: total amount of grain left = initial amount of grain (I) - (rate × time),
If we denote the amount of grain left after 's' seconds as 'G', we can write the equation as: G = I - 3.5s
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WHOEVER HELPS FIRST GETS BRAINLIEST. IM BEING TIMED!!!
Answer:
Step-by-step explanation:
what 9x11
select the measurement that is most reasonable
a. a street has a width of 5 meters
b. a cat has a mass of 5 grams
c. a swimming pool has a capacity of 5 liters
d. a beetle has a mass of 5 kilograms
Let us try to explain each option one by one.
a) a street has a width of 5 meters
This is quite reasonable as the width of street can be approximately 5 meters.
b. a cat has a mass of 5 grams
The mass of a newborn cat is 99 grams. So no cat can weigh 5 grams, as its too small.
c.a swimming pool has a capacity of 5 liters
5 liters is too small quantity for a small sized swimming pool too.
d. a beetle has a mass of 5 kilograms
A beetle is a small creature measuring mostly in grams.
So answer is option a. a street has a width of 5 meters
How do you find x/2 + x/2 = 8/12
The answer i need to know
Explain the steps you would take to model a desert community in which 77% of the area is covered with houses.
Answer:
77 out of 100 grids will have some marking to differentiate it from others.
Step-by-step explanation:
To model a desert community in which 77% of the area is covered with houses you may use different options as per your choice. You may put a border to the 77 of the 100 grid. If we choose a 10 by 10 grid then it will be preferable for modeling a desert community if you will mark 77 out of 100 grid.
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what is the value of x in the solution of the system of y=2x and 4x+y=6
The function y= -16t^2 +24t represents the height y (in feet) of a tennis ball bouncing straight up from the ground t seconds after it bounces. After how many seconds does the tens ball return to the ground?
Answer:
-16t² + 24t = 0
-8t(2t - 3) = 0
t = 1.5 seconds
The tennis ball returns to the ground in 1.5 seconds.
The tennis ball returns to the ground after [tex]\(\frac{3}{2}\)[/tex] seconds.
To find when the tennis ball returns to the ground, you need to determine when the height y is equal to zero. In the given function [tex]y = -16t^2 + 24t\)[/tex], set y equal to zero and solve for t:
[tex]\[ -16t^2 + 24t = 0 \][/tex]
Factor out 8t from both terms:
[tex]\[ 8t(-2t + 3) = 0 \][/tex]
Now, set each factor equal to zero:
1. 8t = 0: This gives t = 0.
2. -2t + 3 = 0: Solve for t.
[tex]\[ -2t = -3 \][/tex]
Divide both sides by -2:
[tex]\[ t = \frac{3}{2} \][/tex]
So, the two solutions are t = 0 and [tex]\(t = \frac{3}{2}\)[/tex]. However, \(t = 0\) corresponds to the initial bounce, and we are interested in the time it takes for the ball to return to the ground after the first bounce.
Therefore, the tennis ball returns to the ground after [tex]\(\frac{3}{2}\)[/tex] seconds.
rank has a circular garden. The area of the garden is 100 ft2. What is the approximate distance from the edge of Frank’s garden to the center of the garden? (A = πr2) A) 6 ft B) 8 ft C) 10 ft D) 12 ft
It is given that the area of the circular garden = 100 [tex]ft^2[/tex]
Area of circle with radius 'r' = [tex]\pi r^2[/tex]
We have to determine the approximate distance from the edge of Frank’s garden to the center of the garden, that means we have to determine the radius of the circular garden.
Since, area of circular garden = 100
[tex]\pi r^2 = 100[/tex]
[tex]\frac{22}{7} \times r^2 = 100[/tex]
[tex]r^2 = \frac{700}{22}[/tex]
[tex]r^2 = 31.8[/tex]
[tex]r = \sqrt{31.8}[/tex]
So, r = 5.6 ft
r = 6 ft (approximately)
Therefore, the approximate distance from the edge of Frank’s garden to the center of the garden is 6 ft.
So, Option A is the correct answer.
The given garden is circular in shape with area 100 square feet.
Area of the garden = πr²
Given area = 100 square feet
Hence,
[tex]3.14r^{2}=100[/tex]
[tex]r^{2}=\frac{100}{3.14}[/tex]
[tex]r^{2}=31.847[/tex]
r=[tex]\sqrt{31.847}[/tex]
= 5.6433 which is approximately 6.
Hence, option A = 6 ft is the answer.
**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?
Yes, at positive x-coordinates or zero
Yes, at negative x-coordinates or zero
Yes, at negative and positive x-coordinates or zero
No, they will not intersect
Answer:
will intersect the circle at negative and positive x-coordinates.
Step-by-step explanation:
^^
Jayden rode his bike 5.75 miles on saturday and 12.4 miles on Sunday. How many miles did he ride his bike both days?
Helen earns $1,840 per month, after taxes. Of her monthly pay, 45% is for rent, 1/10 is for utilities, and 1/5th is for food. How much money does Helen have left after all these expenses?
The amount of money that Helen would have left after all these expenses is $460.
What is the amount left?In order to determine the amount that would be left, determine the money value of the expenses, add the expenses together and subtract it from the earnings.
Amount spent on rent = 45% x 1840 = $828Amount spent on utilities 1/10 x 1840 = $184 Amount spent on food = 1/5 x 1840 = $368Total value of expenses = 1380Amount left = 1840 - 1380 = $460
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Which represents the reflection of f(x)= square root x over the x-axis?
The firs graph attached (picture 1)
ExplanationTo reflect the function over the x-axis, you multiply the whole function by -1. So, is you want to reflect [tex]f(x)[/tex], you just need to multiply [tex]f(x)[/tex] by -1: [tex]f(x)*-1=-f(x)[/tex].
Since our function is [tex]f(x)=\sqrt{x}[/tex], we are going to multiply the whole function by -1 to the get the the graph of its reflection over the x-axis (picture 1)
Reflection of f(x) over the x-axis:
[tex]-f(x)=\sqrt{x}[/tex]
[tex]g(x)=-\sqrt{x}[/tex]
Negate the value of the y-coordinate of each point, but leave the x-value the same. Therefore, option A is the correct answer.
The given function is f(x)=√x.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, f(x)=√x
Graph using the end point and a few selected points.
(0,0), (1, 1) and (2, 1.41)
The graph for the obtained coordinate points is given below.
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
Therefore, option A is the correct answer.
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Solve these problems using the berry method. Please show me the work! (291-298)
Roger makes $42,000 a year. What is the maximum amount he can afford for a mortgage each month?
Answer:
The answer is 875.00
Step-by-step explanation:
Roger can afford a maximum monthly mortgage payment of $1,505.
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Lenders typically use a DTI to assess a borrower's ability to repay the loan. The DTI is calculated by dividing the borrower's monthly debt payments (including the mortgage payment) by their gross monthly income.
The maximum DTI ratio allowed for most conventional mortgages is 43%. This means that the total debt payments, including the mortgage payment, cannot exceed 43% of the borrower's monthly income.
To calculate the maximum mortgage payment for Roger, we need to first determine his gross monthly income by dividing his annual income by 12:
= $42,000 ÷ 12
= $3,500
Next, we need to calculate Roger's maximum allowable monthly debt payments by multiplying his monthly income by the maximum DTI ratio:
= $3,500 x 0.43
= $1,505
Let's assume that Roger has no other monthly debt payments:
= $1,505 - $0
= $1,505
Therefore,
Roger can afford a maximum monthly mortgage payment of $1,505.
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onnie is doing the office coffee run one morning. There are two coffee machines in the building: one from STACO and one from TRUCKBASS. They dispense two types of coffee: black (no milk) and white (with milk). The machines are both rather temperamental. Every fourth coffee dispensed from STACO is black and the rest are white. The coffees dispensed from TRUCKBASS are alternately black and white. Lonnie visited one of the machines and bought some coffees, of which three turned out to be white. He went back to the same machine for the afternoon run and bought the same number of coffees again. What are the possible numbers of white coffees that Lonnie could have received this time?
The possible numbers of white coffees that Lonnie could have received in the afternoon are 0 or 3.
Explanation:In this problem, Lonnie visited one of the coffee machines and bought some coffees, of which three turned out to be white. He then went back to the same machine for the afternoon run and bought the same number of coffees again. We need to determine the possible numbers of white coffees that Lonnie could have received this time.
Since every fourth coffee dispensed from STACO is black and the rest are white, we can conclude that every 3 out of 4 coffees from STACO are white. Therefore, if Lonnie received only white coffees in the morning, then it is possible that he could have received all black coffees in the afternoon.
On the other hand, the coffees dispensed from TRUCKBASS are alternately black and white. So, if Lonnie received three white coffees in the morning, it is not possible for him to receive all black coffees in the afternoon from TRUCKBASS.
Therefore, the possible numbers of white coffees that Lonnie could have received in the afternoon are 0 or 3, depending on which machine he visited.
In the fraction 15⁄7, which of the following is 15?
In the fraction 15⁄7, 15 is the numerator, indicating the number of parts considered, while 7 is the denominator, indicating the total parts in a whole.
Explanation:In the fraction 15⁄7, 15 is the numerator. This is the part of the fraction that represents the number of equal parts being considered. In contrast, the 7 represents the denominator, which indicates the total number of equal parts that make up a whole.
When you see a fraction, the top number, which is called the numerator, answers the question of 'how many parts you have.' The bottom number, the denominator, answers 'how many parts the whole is divided into.' Therefore, in the given fraction, you have 15 parts out of a total of 7 parts, which suggests that you have more than one whole - this is known as an improper fraction, because the numerator is larger than the denominator.
A parachutist's rate during a free fall reaches
231
feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during
10
seconds of free fall? In your computations, assume that
1
meter is equal to
3.3
feet. Do not round your answers.
Answer:
700 m
( A parachutist's rate during a free fall reaches 231 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers. )
How can the expression 3(4x) + 2(7y) be simplified?
7x + 9y
12x + 9y
12x + 14y
7x + 14y
From the set {(-2, -5), (0, 10), (5, 8), (8, -3)}, which ordered pairs are a part of the solution set for 5x + 5y > 45?
A cup of water holds about 8 ounces. If a recipe calls for 1/3 cup of water, which is the best estimate of the number of ounces that are needed?
The best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.
What is the best estimate of the number of ounces that are needed?The best estimate of the number of ounces that are needed is calculated as follows;
To determine the number of ounces needed when a recipe calls for 1/3 cup of water, we can use the fact that there are 8 ounces in a cup.
Since 1/3 is a fraction, we need to divide 8 ounces by 3 to find the amount of water needed for 1/3 cup.
8 ounces ÷ 3 = 2.6667 ounces (rounded to four decimal places)
Rounding it to a reasonable decimal place, the best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.
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there were 629,000 women motorcyclists, up from 447,000 eight years ago. what's the percentage of increase?
mindy needs 3 1/3 cups of raisins for the trail mix shes making she only has 1 2/3 cups of raisins in her pantry how many more raisins does she need?
A small refrigerator is a cube with a side length of 16 inches. Use the formula S = 6s2 to find the surface area of the cube.
The first and second steps to solve the equation 3x/5 + 5 = 20.Are shown below
3x/5 + 5 - 5 = 20 - 5
3x/5 (5/3) = 15 (5/3)
A.Addition Property of Equality
B.Subtraction Property of Equality
C.Multiplication Property of Equality
D.Division Property of Equality
Answer:
c
Step-by-step explanation:
A right rectangular prism is 514 in. wide, 1212 in. long, and 4 in. tall.
What is the volume of the prism?
a) 50 in3
b) 65 5/8 in3
c) 260 in3
d) 262 1/2 in3
The correct answer is D, because what he or she was trying to say was 5 1/4 x 12 1/2 x 4, which equals 262 1/2 in³
Your welcome everyone
The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces does the regular bottle of sunscreen hold ?
Answer:
9 ounces
Step-by-step explanation:
The information in the question given
The family size bottle of sunscreen holds 12 fluid ounces of sunscreen.
The regular bottle holds 75% less.
we need to find that how many fewer fluid ounces does the regular bottle of sunscreen hold?
Now given family size bottle holds 12 fluid ounces. But regular bottle has 75% less, therefore it can be measured as below
75/100 x 12 = 9 ounces
So the regular bottle holds 9 ounces of fluid.
What is the area of this polygon?
42.5 units²
41.5 units²
35.5 units²
29.5 units²