A face of a solid is

Answer:

y=(1/4)x-3

Step-by-step explanation:

To find the equation of a line, use the following equation:

y=mx+b where m is the slope (rise/run) and b is the y-intercept.

The slope of the line is 1/4 and the y-intercept is -3. Just fill it into the problem to get the answer y=(1/4)x-3. Hope this helps! :)

Answer:

35x

Step-by-step explanation:

[tex]5x(f - 32) \div 9 \\ = \frac{5x(f - 32)}{9} \\ = \frac{5x(95 - 32)}{9} \\ = \frac{5x \times 63}{9} \\ = 5x \times 7 \\ = 35x[/tex]

Answer:

                    principal     interest              total money in account

                                                                         at the end of year

Year one       $100             $4.5                              $104.5

year two        $200          $ 9 +$4.5                         $ 213.5

year three      $300          $ 9 +$4.5 + $13.5           $ 327

Step-by-step explanation:

Simple interest for any principal is given by

I = p* r* t/100

I = interest rate accrued on principle amount

p is the amount deposited

r is the rate of interest

t is the time period of saving

_______________________________________________

For year one

p = $100

r = 4.5%

t=1

I = 100*4.5*1/100 = 4.5

_______________________________________________

For year two $100 more is added to already existing $100 in account.

p = 100 +100 = $200

r = 4.5%

t=1

I = 200*4.5*1/100 = 9

_______________________________________________

For year two $100 more is added to already existing $200 in account after two years.

p = 100 +100 +100 = $300

r = 4.5%

t=1

I = 300*4.5*1/100 = 13.5

_______________________________________________

There fore total  money in Margo account is

$300 saving deposited by her

$4.5 + $9 + $13.5 = $27 (interest accrued in three time)

Formulating the results in tabular form

                     principal     interest    total money in account

                                                            at the end of year

Year one       100               4.5                      104.5

year two        200           9 +4.5                     213.5

year three      300           9 +4.5 + 13.5           327

Answer:

A

Step-by-step explanation:

The student's question involves creating an exponential decay function to determine the fish population in Lake Collins after five years, given a starting population in 2001 and a 5% annual decrease. The function is N(t) = 1200e^-rt, with r being 0.05 and t being 5. The estimated fish population for the year 2006 is approximately 935.

The student is asking for an exponential decay function to model the decrease in the fish population at Lake Collins. We are given that in 2001, there were about 1,200 fish, and the fish population is decreasing at a rate of 5% per year. To model this situation, we use the exponential decay formula:

N(t) = N0e-rt

Where:

For this problem, the initial population N0 is 1,200, the decay rate r is 0.05 (since 5% is 0.05 as a decimal), and the time t we are interested in is 2006 - 2001 = 5 years. Plugging these values into the formula, we get:

N(5) = 1200e-0.05 * 5

Calculating N(5), the fish population in 2006, using the above formula:

N(5) = 1200e-0.25 ≈ 1200 * 0.7788 ≈ 935

Therefore, the estimated fish population in Lake Collins in 2006 would be approximately 935 fish.

Answer:

well lets put it in terms of A B C D

so if A and B are the only ones who can drive then we can figure out this pretty easily

ABCD ABDC ACBD ACDB ADCB ADBC

so that's 6 ways

and if B Drives that gives us another 6

so together thats 12

might be wrong have not been in middle school for a while  

April correctly transformed the quadratic function into vertex form, and the resulting vertex is (3, 15), as determined by the completion of the square method.

April is indeed correct about the vertex of the function h(x). The vertex form of a quadratic function is h(x) = a(x - h)^2 + k, where the point (h, k) is the vertex of the parabola. April has rewritten the quadratic function h(x) = 5x^2 - 30x + 30 into vertex form as h(x) = 5(x - 3)^2 + 15, indicating that the vertex is at (3, 15). This can be verified through the completion of the square method, where a perfect square trinomial is created by adding and subtracting the appropriate constant term. April added and subtracted 9 inside the parentheses, which is (6/2)^2, to keep the equation equivalent. Finally, she factored out the coefficient of the quadratic term (5) before completing the square, which is correct.

Answer:

[tex]6x^{2} +x + 2[/tex] cannot be factored

Step-by-step explanation:

The equation cannot be simplified so you have to use the quadratic formula

and you will get imaginary numbers from the formula

Answer:

About 15%

Step-by-step explanation:

Since the weather is good, this means that 500 flights are affected because 50% of the flights experience good weather and 50% of the flights experience bad weather.

there will be 75 flights that are delayed due to causes other than bad weather

if you assume that all of the flights that are not caused by bad weather occur in good weather, then the probability would have to be 75 / 500 = .15 = 15%.

Answer:

I believe is 35%

Step-by-step explanation:

Answer:

B. The function is negative for all real values of x where

–6 < x < –2.

Step-by-step explanation:

Just took the test

Answer: B!!

Step-by-step explanation: i did on edge

Answer:

[tex]V=416\ mm^3[/tex]

Step-by-step explanation:

we know that

The volume of a rectangular prism is given by the formula

[tex]V=LWH[/tex]

we have

[tex]L=10.4\ mm\\W=5\ mm\\H=8\ mm[/tex]

substitute in the formula

[tex]V=(10.4)(5)(8)=416\ mm^3[/tex]

The volume of the rectangular prism is [tex]416\ mm^3[/tex]

Since A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.

So here the volume is

= (10.4) (5) (8)

= [tex]416\ mm^3[/tex]

Here we multiplied all three things to get the volume

hence, The volume of the rectangular prism is [tex]416\ mm^3[/tex]

learn more about volume here: https://brainly.com/question/12497184

Hundredths as fractions and decimals is given below.

Step-by-step explanation:

To learn more about this :

www.brainly.com/subject/math

Answer:

10

Step-by-step explanation:

y=(0.5)6+7

y=3+7

y=10

Answer:

the value is 10

Step-by-step explanation:

y = 0.5(6) + 7

y = 3 + 7

y = 10

Answer and Step-by-step explanation:

samuel---> 1pc+3dr=36.75

sebastian--->3pc+12dr=138

1pc+4dr=46

1pc+4dr=46

1pc+3dr=36.75

so 1 dr=46-36.75=$9.25

4dr is 9.25×4=37

so 1 pc=46-37=$9.00

Answer:

$9.25

Step-by-step explanation:

Cost of popcorn: x

Cost of drink: y

x + 3y = 36.75

x = 36.75 - 3y

3x + 12y = 138

x + 4y = 46

36.75 - 3y + 4y = 46

y = 46 - 36.75

y = 9.25

Dividing figures into known shapes in mathematics helps simplify complex shapes and analyze their properties effectively.

Dividing figures into known shapes involves breaking down complex figures into simpler, identifiable shapes such as squares, rectangles, triangles, or circles.

This process is commonly used in geometry to analyze and understand the properties of irregular shapes by partitioning them into known geometric shapes.

By dividing figures into known shapes, mathematicians can apply specific formulas and principles to calculate areas, perimeters, and other geometric attributes accurately.

Answer:

8

Step-by-step explanation:

Total amount of boxes is 9 so divide the total number of boxes into the total granolas. So 72/9=8

Answer:

Step 1: Write an equation.  

✔ 4x + 5x = 72

Step 2: Identify and combine like terms.

✔ 9x = 72

Step 3: Use the properties of equality and inverse operations to solve the equation.

✔ x = 8

Answer: -(pi)/10 radians or D on Edge

Step-by-step explanation: correct answer on edge

Answer:

240%

Step-by-step explanation:

240 / 100 Answer: 240%

Answer:

240%

Step-by-step explanation:

Answer:

13,200 feet

Step-by-step explanation:

There are 5280 feet in a mile, so multiply 5280 by 2.5

5280*2.5=13,200

So, every Wednesday, she runs 13,200 feet

Hope this helps! :)

Answer:

collinear points

Step-by-step explanation:

A set of points that form a linear are called collinear points

Answer:

1. No.

2. No.

3. No.

4. Yes.

Step-by-step explanation:

You just need to sub in the numbers for x and y. For the first one, it is -21 - 8 > 18 which is equal to  -29 > 18, so the answer is no. For the second one, it is -21 > 18, so the answer is no. For the third one, it is -14 + 32 > 18 which is equal to 18 > 18, so the answer is no. For the fourth one, it is 56 - 36 > 18 which is equal to 20, so the answer is yes. I hope this helps, please mark me brainliest!

Answer:

12 years

Step-by-step explanation:

8 feet = 96 inches

10 feet = 120 inches

96 + 6t = 120 + 4t

2t = 24

t = 12

Answer:

Rs 20

Step-by-step explanation:

Profit = selling price - cost price

= 150 - 130

= Rs 20

Answer:

Step-by-step explanation:

Answer:

x= 3/2 or x=4

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x−4)(2x−3)=0

Step 1: Simplify both sides of the equation.

6x2−33x+36=0

Step 2: Factor left side of equation.

3(2x−3)(x−4)=0

Step 3: Set factors equal to 0.

2x−3=0 or x−4=0

x= 3/2 or x=4

Given:

The top of the lid to a small container is in the shape of a square with a side length of 6 centimeters.

We need to determine the area of the top of the lid.

Area of the top of the lid:

The area of the top of the lid can be determined using the formula,

[tex]A=s^2[/tex]

where s is the side length of the square

Substituting [tex]s=6[/tex] in the above formula, we get;

[tex]A=6^2[/tex]

[tex]A=36[/tex]

Therefore, the area of the top of the lid is 36 cm²

Hence, Option C is the correct answer.

Answer:

B.12 feet cubed

Step-by-step explanation:

We are given that

Height of prism,h=4 feet

Base of triangle,b=3 feet

Height of triangle=l=2 feet

Area of triangular base,B=[tex]\frac{1}{2}bl[/tex]

Using the formula

Area of triangular base=[tex]\frac{1}{2}\times 3\times 2=3ft^2[/tex]

Volume of triangular prism=Bh

Using the formula

Volume of triangular prism=[tex]3\times 4=12ft^3[/tex]

There is 12 cubic feet space  inside the empty  hood.

Option B is true.

Answer:

B. 12 feet cubed is correct!

Step-by-step explanation:

Hope this helps! :)