The volume V of a rectangular prism of a particular height varies jointly as the
length I and the width w, and V = 224 ft when I = 8ft and w = 4 ft.
Find I when V = 210 ft' and w = 5ft.

Answers

Answer 1

Answer:

    6ft

Step-by-step explanation:

Volume of rectangular prism = l x w x h, where h is height. So, we have to work out the height of the first prism in the following way. 224 divided by ( 8 x 4), which gives 7. So, to find l in the second prism, we have to :

L x W x H = 210

L x 5  x 7 = 210

L x 35 = 210

L = 210 divided by 35 = 6


Related Questions

Which of the following points represents the center of a circle whose
equation is (x-3)2 + (y-2)2 = 16?

A. (3,-2)

B. (3,2)

C. (-3,-2)

D. (-3,2)

Answers

Answer:

B

Step-by-step explanation:

(x-3)² + (y-2)² = 16

(x-h)²+(y-k)²=16

r=4

h=3

k=2

center is at the point (h, k) ⇒ (3, 2)

The area of a triangle is 30 square inches. The base of the triangle is 10
in. What is the height of the triangle? *
I will mark as Brainliest and give extra points help

Answers

Answer:

6  inches

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

30 = 1/2 (10) h

30 = 5h

Divide each side by 5

30/5 = 5h/5

6 = h

Answer:

Step-by-step explanation:

we know area of a triangle = 1/2 * base * height

1/2*10* height = 30

5* height =30

height = 30/5 = 6inches

hope it helps

Can anybody answer these questions. By the way the questions are seperated in different screenshots that i put.

Answers

Answer:

Sorry i can only answer one but the first one of the trapizoid is 76

Step-by-step explanation:

see picture

my dad's old baseball card increased in value from $400 to $500. what was the percent increase?

Answers

Answer:

25%

Step-by-step explanation:

I WILL GIVE CORRECT ANSWER BRAINLIEST!! using the graph as your guide, complete the following statement. the discriminant of the function is______.

Answers

Answer:

B. Positive

Step-by-step explanation:

If there are 2 real roots, then the discriminant is always positive.

Answer:

B. position

Step-by-step explanation:

ap e x lol

What is the value of 2x3+12-13

Answers

Answer:

5

Step-by-step explanation:

According to PEMDAS the answer is five.

2x3+12-13

6+12-13

18-13

5

Please help me

Two exponential functions, fand g, are shown in the graph where g is a transformation of f.

Which of the rules given below shows the transformation of f?
A. g(x) = f(x-2)
B. g(x) = f(x) + 2
C. g(x) = f(x + 2)
D. g(x) = f(x) - 2

Answers

B.G(x)=f(x)+2 is your a good night to

The sector has an area of 3 pi inches squared and a radius of 6 in. How many inches long is the arc for this sector? Use 3.14 for Pi and round to the nearest hundredth.

A sector with a radius of 6 inches and area of 3 pi inches squared.

Recall that Area of a sector = StartFraction n degrees over 360 degrees EndFraction (pi) (r squared) and StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
3.14
6.28
12.56
18.84

Answers

Answer: 6.28 inches.

Step-by-step explanation:

Formula :

i) Area of sector : [tex]A=\dfrac{x}{360}\times\pi r^2,[/tex], where x = central angle and r is radius

ii) Length of arc : [tex]l=\dfrac{x}{360}\times2\pi r[/tex]

Given , r= 6 in.

A = [tex]3\pi[/tex] inches

Put these values in (i) , we get

[tex]3\pi =\dfrac{x}{360}\times\pi (3)^2\\\\\Rightarrow\ 1=\dfrac{x}{120}\\\\\Rightarrow\ x=120^{\circ}[/tex]

Now , put values of x and r in (ii) , we get

[tex]l=\dfrac{120}{360}\times2\pi(3)\\\\\Rightarrow\ l=2\pi = 2(3.14)=6.28\text{ inches}[/tex]

Hence, the length of the arc is 6.28 inches.

Answer:

6.28

Step-by-step explanation:

Edge 2021

A set of wrist watch prices are normally distributed with a mean of 767676 dollars and a standard deviation of 101010 dollars. What proportion of wrist watch prices are between 636363 dollars and 909090 dollars? You may round your answer to four decimal places. S

Answers

Answer:

0.8224

Step-by-step explanation:

Data

mean: $76standard deviation, sd: $10first value of interest, x1: $63second value of interest, x2: $90

z-score for x1:

z1 = (x1 - mean)/sd = (63 - 76)/10 = -1.3

z-score for x2:

z2 = (x2 - mean)/sd = (90 - 76)/10 =  1.4

The  proportion of wrist watch prices are between $63 and $90 is:

P(z1 < z < z2) = P(z < 1.4) - P(z < -1.3)

P(z < 1.4) = 0.9192 (see first picture attached)

P(z < -1.3) = 0.0968 (see second picture attached)

P(z1 < z < z2) = 0.9192 - 0.0968 = 0.8224

I need help on this.​

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

hopefully this helps

you don't have to answer number 15. but pls answer the rest!

is 3kg equal to less than or greater than 3,000

there are more in the picture pls help ASP

BEST ANSWER GETS BRAINLESST AND FOLLOW ASP HURRY!!​

Answers

Answer:

13) >

14)=

15)>

16)=

17)>

18)<

Step-by-step explanation:

What are the missing amounts in this statement.

20% of $30= 40% of $____

Pls help me

Answers

Answer:

Step-by-step explanation:

20% of $30 = 40% of x

0.20 * 30 = 0.40 * x

[tex]\frac{0.2}{0.4}*30=x\\[/tex]

x = 15

Please help this is due at midnight!!!!!!!!!
Describe how to optimize a function given a set of constraints.

Answers

Here’s the hard part. We always want the problem structured in a particular way. Here, we are choosing to maximize f (x, y) by choice of x and y .
The function g(x,y) represents a restriction or series of restrictions on our possible actions.
The setup for this problem is written as l(x,y)= f(x,y)+λg(x,y)
For example, a common economic problem is the consumer choice decision. Households are selecting consumption of various goods. However, consumers are not allowed to spend more than their income (otherwise they would buy infinite amounts of everything!!). Let’s set up the consumer’s problem:

Suppose that consumers are choosing between Apples (A) and Bananas (B). We have a utility function that describes levels of utility for every combination of Apples and Bananas.
11
A 2 B 2 = Well being from consuming (A) Apples and (B) Bananas.
Next we need a set pf prices. Suppose that Apples cost $4 apiece and Bananas cost $2 apiece. Further, assume that this consumer has $120 available to spend. They the income constraint is
$2B+$4A≤$120
However, they problem requires that the constraint be in the form g(x, y)≥ 0. In
the above expression, subtract $2B and $4A from both sides. Now we have 0≤$120−$2B−$4A
g(A, B) Now, we can write out the lagrangian
11
l(A,B)= A2 B2 +λ(120−2B−4A)
f (A, B) g(A, B)
Step II: Take the partial derivative with respect to each variable
We have a function of two variables that we wish to maximize. Therefore, there will be two first order conditions (two partial derivatives that are set equal to zero).
In this case, our function is
11
l(A,B)= A2 B2 +λ(120−2B−4A)
Take the derivative with respect to A (treating B as a constant) and then take the derivative with respect to B (treating A as a constant).

The setup for this problem is written as l(x,y)= f(x,y)+λg(x,y)


What is a function?

For example, a common economic problem is the consumer choice decision. Households are selecting consumption of various goods. However, consumers are not allowed to spend more than their income (otherwise they would buy infinite amounts of everything!!). Let’s set up the consumer’s problem:

Suppose that consumers are choosing between Apples (A) and Bananas (B). We have a utility function that describes levels of utility for every combination of Apples and Bananas.

11

A 2 B 2 = Well being from consuming (A) Apples and (B) Bananas.

Next, we need a set of prices. Suppose that Apples cost $4 apiece and Bananas cost $2 apiece. Further, assume that this consumer has $120 available to spend. The income constraint is

$2B+$4A≤$120

However, the problem requires that the constraint is in the form g(x, y)≥ 0. In

the above expression, subtract $2B and $4A from both sides. Now we have 0≤$120−$2B−$4A

g(A, B) Now, we can write out the lagrangian

11

l(A,B)= A2 B2 +λ(120−2B−4A)

f (A, B) g(A, B)

Step II: Take the partial derivative with respect to each variable We have a function of two variables that we wish to maximize.

Therefore, there will be two first-order conditions (two partial derivatives that are set equal to zero).

To know more about function follow

https://brainly.com/question/22340031

#SPJ2

In the Pythagorean theorem (a + b2 = c), a and b stand for the lengths of the
shorter sides, and c stands for

A. the length of the legs
B. the area of the triangle
c. the length of the longest side
D. the height of the triangle

Answers

c) length of the longest side.
aka hypotenuse
C)Length of the longest side/ hypotenuse

Which graph best represents the equation shown below?8x + 5y = 1

Answers

Answer:

linear graph

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

did the test

Lavern just turned 40 years old, so her credit score rose from 555 to 623,
According to the following table for a $150,000 mortgage, how much less per
year would Lavern have to pay on a $150,000 mortgage with the new credit
score?
FICO
Interest Monthly
Score
Rate Payment
720-850
5.59% $860
700-719
5.71% $872
675-699
6.25% $924
620-674
$1039
560-619
8.53% $1157
500-559
9.29% $1238
7.40%
A. $199
ООО
B. $1238
C. $1039
O D. $2388

Answers

Answer:

D

Step-by-step explanation:

($1238-$1039)×12=$2388

If f(1) = 7 and f(n) = 5(n-1) + 2, then f(4) =

Answers

Answer:

f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = ?

f4 = 5(?) + 2 = ____

914

hopefully this makes sense

What’s the surface area of this prism?

Answers

Answer:

580

Step-by-step explanation:

1/2 6x10 x2 for the two bases is 60. for the rams is 20x8 x2 cause there is two ramps. then the bottom is 10 x 20 is 200. add them all up and get 580.

Answer:

760 m^2

Step-by-step explanation:

I need help tell me the answer plz

Answers

70,000

Answer:

round 5 up which makes 9 a 10 which makes 6 a 7

Answer:

70000

Step-by-step explanation:

You would look at the number that is in the hundreds place vaule, which is 500 in this case. Whenever a number is above or equal to 5, you would round up. You would round the number to the next thousand, which is 70000.

A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h, in feet after t seconds is given by the function h = -16t^2 + 120t + 10. How long does it take to reach maximum height? What is the boulder's maximum height? What is the boulder's maximum height? Round to the nearest hundredth, if necessary.

Answers

Why is understanding mitts important?( Select the best answer)

1.It helps us understand how organisms repair.

2. It helps us understand how organisms grow.

3. It is important for cancer research.

4. All options correct.

Answer:

See below in bold.

Step-by-step explanation:

h = -16t^2 + 120t + 10

To find the  height and time for maximum we convert to vertex form:

h = -16(t^2 - 7.5t) + 10

h = -16 [(t - 3.75)^2 - 14.0625] + 10

h = -16(t - 3.75)^2 + 225 + 10

h = -16(t - 3.75)^2 + 235

So the time to reach maximum height is 3.75 seconds and the maximum height = 235 ft.

If 15 x a = 90, then a=

Answers

Answer:

A = 6

Step-by-step explanation:

to find a, divide 90 by 15

90 / 15 = 6

the answer is 6, divide 90 by 15 to get a

What is meant by the term financial planning?
a Long-term goals are reached over an extended period of time, so your current income does not affect
them.
b. It is creating a road map of everything you do with your money.
c. It is hoping you will have enough money to pay all your bills on time.
d. If your income exceeds your expenses, you will be able to save money for the future.
Please select the best answer from the choices provided
B
ОООО
D
Save and Exit
Next
Submit
Matkathisandrum

Answers

Answer:

a Long-term goals are reached over an extended period of time, so your current income does not affect

them.

Step-by-step explanation:

Financial planning refers to long term goals that are planned and reached over an extended period of time to keep one solvent in cases of emergency without having a direct effect on current income.

Solvency simply means having more assets than liabilities to be able to stay afloat of one's debts.

CORRECT ANSWER GETS BRAINLIEST!!! PLZ ANSWER FAST!!

Answers

what is it?? Did you forget to add a photo or something lol

Answer:

You Forgot the picture lol

Points A, B, C, D, E, F, and G lie on the graph of function g( x ) as shown on the coordinate grid.
All the coordinates of the marked points are integers. Drag and drop numbers into the boxes to complete each form of the function
numbers to boxes:
-5, 0, 3, 4, 5, 6, 7

Answers

Answer:

[tex]g(x)=-(x-5)^2+4\\=-(x-7)(x-3)[/tex]

Step-by-step explanation:

Given: coordinate grid

To find: the missing number

Solution:

Equation of the parabola that open downwards and is symmetric about y-axis is [tex](x-h)^2=-4p(y-k)[/tex] where [tex](h,k)[/tex] denotes the vertex and focus is at [tex](h,k+p)[/tex]

[tex]g(x)=-(x-.....\,\,\,\,)^2+\left ( ....... \right )\\(x-.....\,\,\,\,)^2=-\left ( g(x)-(....) \right )[/tex]

[tex](x-h)^2=-\left ( g(x)-(k) \right )[/tex]

From the graph, vertex is [tex](5,4)[/tex]. Put [tex](h,k)=(5,4)[/tex]

[tex]g(x)=-(x-5)^2+4\\=-\left [ (x-5)^2-2^2 \right ][/tex]

Use formula [tex]a^2-b^2=(a+b)(a-b)[/tex]

So,

[tex]g(x)=-\left [ (x-5)^2-2^2 \right ]\\=-\left [ (x-5-2)(x-5+2) \right ]\\=-(x-7)(x-3)[/tex]

Pls help with this, I have a lot of work and I'm trying to get it done faster​

Answers

Answer:

C = 3b

Step-by-step explanation:

If each bottle costs 3 dollars, then the cost of b bottles would be 3b.

Which subsets of real numbers does 2 1/3 belong to?

Answers

Answer:

rational numbers set

Step-by-step explanation:

rational numbers are fractions and 2 1/3 = 7/3

Rational numbers set

Seining bought 6 apples for $1.80. Jane brought 5 apples for $1.50.Are the rates in proportion

Answers

Answer:

Yes

Step-by-step explanation:

6 : 1.8 = 1 : 0.3

5 : 1.5 = 1 : 0.3

im really tired and my brain isnt working right please help i need help with part b

Answers

Answer:

hello! the answer is 2.5 hours :)

Answer:

the answer is 2.5 hours

Step-by-step explanation:

I need help on this.​

Answers

Answer:

2143-764=1379

Step-by-step explanation:

Question 16 (5 points)
The first two terms of an arithmetic sequence are a1 = 2 and a2 = 5. Find a6, the
sixth term of the sequence.
OA) 27
B) 20
OC) 14
D) 17

Answers

Answer:

D.  17.

Step-by-step explanation:

The nth term of an arithmetic sequence (an) is a1 + d(n - 1) where a1 = first term and d = the common difference.

In this sequence d = a2 - a1 = 5 - 2 = 3.

a6 = 2 + 3(6 - 1)

= 2 + 3*5

= 17.

Answer:

Step-by-step explanation:

probably 17

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