Hi, this question is in calculus. I am trying to write an equation in slope-intercept form about data usage that increase in 32.5 million every 4 years.

Answers

Answer 1

Answer:

we have an increase of 32.5 million every 4 years.

Then the increase per year is:

32.5 mill/4y = 8.125 million per year.

then if we define the variable x, as the number of years, we can write the linear equation as:

y = x*8.125 million/year + b

where b is the initial amount, that is not shown in the question, so i will just leave it like that.

You can see that when we have x = 4 years we have:

y(4 years) = (4 years)*(8.125 million/year) + b = 32.5 million + b.

Then after 4 years, we have an increase of 32.5 million, that is the thing we knew at the beginning.


Related Questions

What property would you use to solve m+6=−4?

Answers

Answer:

m = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define equation

m + 6 = -4

Step 2: Solve for m

Subtract 6 on both sides:                    m = -10

Step 3: Check

Plug in m to verify it's a solution.

Substitute:                    -10 + 6 = -4Add:                              -4 = -4

pls help lol uh

thanks if you do im very confused

Answers

Answer:

I think it is b

Step-by-step explanation:

Answer:

B

graph B represents 1/2#1/6

1/2#1/6=3

I am having problem in these:-
1)There are two cylinders - cylinder A and cylinder B. Both the cylinders have equal volume,
Cylinder A has a nadius of 3 m and height 7 m. Cylinder B has a height of 21 m. Calculate the radius of Cylinder B, in
om (Take =22/7)

2)A rectangular tank has dimension 12 cm by 18 cm by 20cm. There is a solid cylindrical tube in the tank that has a
volume of 320 cm"3. How much water can the tank hold?​

Answers

Answer:

1) The cone's volume is 1/3 the volume of the cylinder with the same base.

Step-by-step explanation:

i dont know number 2 even though this is 5th grade math lol

Which ordered pairs do not belong to a linear function in the form below?
y = kx + b
A. (-1, -1); (0, -1)
B. (-1, -1); (-1, 1)
C. (1, 1); (0, -1)
D. (1, 1); (-1, -1)

Answers

Answer:

its D

Step-by-step explanation:

D!!!

Answer:

D

Step-by-step explanation:

In Triangle ABC, ∠A + ∠B = 65° and ∠B + ∠C = 140°.Find the value of ∠B and ∠C.
Can anybody pls give the answer fast...

Answers

A + B = 65...Equation 1

B + C = 140...Equation 2

Solve Equation B for C.

C = 140 - B

The sum of the angles in a triangle is 180 degrees.

We know that A + B = 65.

65 + C = 180

We know that C = 140 - B.

65 + 140 - B = 180

205 - B = 180

-B = 180 - 205

-B = -25

B = -25/-1

B = 25

Plug B = 25 into B + C = 140 to find angle C.

25 + C = 140

C = 140 - 25

C = 115

Angle B = 25°.

Angle C = 115°.

Understand?

Follow these steps to construct a triangle to represent the given information:

Draw a ray in the direction S 20° E from point P. Create a circle with radius 43.5. (Note that you'll be scaling down all the distances in miles by a factor of 10: 435 ÷ 10 = 43.5.) Label the point where the circle intersects the ray as C (Cali).
Draw a ray in the direction S 81° E from P. Mark an arbitrary point on this ray, and label it S.
Create a line through point S that is parallel to the north-south line through P.
Using the line passing through point S, draw a ray that is S 53° W.
Move point S along line PS until the ray S 53° W from S passes through point C. This position of S locates San Cristobal.
Paste a screenshot of your construction in the space below.

Answers

Answer:

i have to write something here so reading this is a waste of time.

A triangle can be constructed by different means such as:

A, B, C - angles or vertices.a, b, c - sides opposite to A,B,C, respectively, or their lengths.ha, hb, hc - altitudes (or sometimes heights) to the sides a,b,c.

What is a Triangle?

This refers to the plane figure that has three sides and angles.

Hence, we can see that in order to construct a triangle, they can be done by different means and the construction cannot be done for you, but the other means can include:

ma, mb, mc - medians to the sides a,b,c.la, lb, lc - bisectors of the angles A, B, C.

Read more about triangles here:

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A lines slope is 6 and it's y-intercept is 5 what is the equation in slope-intercept form

Answers

Answer:

y=6x+5

Step-by-step explanation:

Aneil wants to plant tomato plants and lettuce plants in a 60-square-foot garden. The tomato plants take up 2 square feet, and the lettuce plants take up 3 square feet. The equation 2x + 3y = 60 describes the number of tomato plants, x, and lettuce plants, y, that Aneil can plant in the garden. Graph this function and find the intercepts. What does each intercept represent?

Answers

Step-by-step explanation:

The more regular way of presenting such a graph is y = -2/3 x + 20

(Put the x on the right and made sure that the y has a coefficient of 1.)

Coefficient means the number in front of the letter (in this case).

x intercept = 30

(30,0)

y intercept = 20

(0,20)

The intercepts mean

The y intercept means the whole garden contains nothing but lettuce. (20)

The x intercept means the whole garden contains nothing but tomatoes.(30)

50 - 4 > 12 OR 12x +5< -4

Answers

Answer:

Step-by-step explanation:

5x - 4 > 12

5x > 12 + 4

5x > 16

x > 16/5

12x + 5 < -4

12x < - 4 - 5

12x < - 9

x < - 9/12

x < - 3/4

Option A is the correct answer

Write an equation of the line with a slope of 3/4 and a y-intercept of -2.​

Answers

Answer:

y = 3/4x - 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 3/4

y-intercept b = -2

Step 2: Write linear equation

y = 3/4x - 2

Evaluate and simplify the following complex fraction.

Answers

Answer:

-10/7

Step-by-step explanation:

(-5/7)/(2/4) = (-5/7)/(1/2) = (-5/7)*(2/1) = -10/7

A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

f(1) = 4; f(n) = 4 ⋅ d(n − 1), n > 0
f(1) = 4; f(n) = 4 ⋅ d(n + 1), n > 0
f(1) = 4; f(n) = 4 + d(n + 1), n > 0
f(1) = 4; f(n) = 4 + d(n − 1), n > 0

Answers

Answer:

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

Step-by-step explanation:

This arithmetic sequence has a common difference of d with first term = 4.

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

Answer:

D)

Step-by-step explanation:

I took the test.

4)
- 10x – 5x = 45
Solve the equation

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{-10x-5x=45}[/tex]

[tex]\textsf{Combine your like terms: \mathsf{(-10x -5x)}}[/tex]

[tex]\mathsf{(-10x - 5x) = -15x}[/tex]

[tex]\mathsf{New\ equation: -15x=45}[/tex]

[tex]\mathsf{\bf{DIVIDE}\ \mathsf{\ both\ sides\ by\ -15}}[/tex]

[tex]\mathsf{\dfrac{-15x}{-15}=\dfrac{45}{15}}[/tex]

[tex]\mathsf{\bf{Cancel\ out:}}\mathsf{\ \dfrac{-15}{-15}\ because\ that\ gives\ you\ }[/tex]

[tex]\mathsf{\bf{Keep:}\mathsf{\dfrac{45}{-15}\ because\ that\ solves\ for\ x}}[/tex]

[tex]\mathsf{New\ equation: x = \dfrac{45}{-15}}\\\\\mathsf{x = 45\div-15\rightarrow \underline{\bf{-3}}}[/tex]

[tex]\huge\text{Thus, x = -3}\checkmark[/tex]

[tex]\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\text{\huge{\bf{x = -3}}}}}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

help me I don’t wanna fail mann

Answers

Answer:

x=6

∠TSU=12x=12(6)=72

Step-by-step explanation:

∠TUS+∠STU+∠TSU=180

∠TUS+12x+81=180

∠TUS=99-12x

∠TUS+∠TUV=180

99-12x+24x+9=180

108+12x=180

12x=72

x=6

∠TSU=12x=12(6)=72

There you go. Try and use these solutions to solve others for yourself. You got it.

Answer:

x = 6°∠TSU = 72°

Step-by-step explanation:

Angle TUV is exterior angle to triangle TUS. Exterior angle measure is equal to sum of non-adjacent interior angles:

∠TUV = ∠STU + ∠TSU24x + 9 = 81 + 12x

Solving for x

24x - 12x = 81 - 912x = 72x  = 72/12x = 6°

Finding angle measure of ∠TSU

∠TSU = 12*6° = 72°

what is this plug's brand?

Answers

Answer:

ce smart home

Step-by-step explanation:

it says it righ tthere

Answer:

the brand?? it says it right there if I'm not wrong lol "ce smart home"

7) Select the best method to solve the system.

3x+y=7
2x=3y-4

*elimination
*substitution

Answers

I’m my opinion the best method is elimination

Answer:

substitution

Step-by-step explanation:

I would choose substitution because the first equation can easily be set in terms of y, then substituted into the second equation, while to eliminate you would have to multiply on of the equations by a number and make it negative in order to eliminate.

ASAP 20 points -0.45x + 0.33 = -0.66 whats x

Answers

Hola no sé qué dices solo me puse del país Canadá para que me ayuden con un ejercicio en inglés que papá Noel los bendiga

Answer:

x=2.2

Step-by-step explanation:

calc

Please help me solve this?

Answers

Answer:

12[tex]x^{4}[/tex]y[tex]z^{7}[/tex]√3x

Step-by-step explanation:

2√108[tex]x^{9}[/tex]y²[tex]z^{14}[/tex]

so you will need two of something to take one out from under the squareroot

we can rewrite [tex]z^{14} = z^{7} *z^{7}[/tex] so we can take a [tex]z^{7}[/tex] out

we can rewrite y² as y*y so we can take a y out

we can rewrite [tex]x^{9}[/tex] as [tex]x^{4} *x^{4} *x[/tex] so we can take a [tex]x^{4}[/tex]out

for 108 think what is the smallest prime number that divides 108 and is 2

108= 2*54

same algorithm, smallest prime number that divides 54 is 2 so

108=2*2*27

same algorithm, smallest prime number that divides 27 is 3 so

108=2*2*3*9

we know 9 is 3*3 so

108=2*2*3*3*3 we can take out one 2 and one 3

put them all toghether now

2*2*3*[tex]x^{4}[/tex]*y*[tex]z^{7}[/tex]√3x = 12[tex]x^{4}[/tex]y[tex]z^{7}[/tex]√3x

Write an equation in slope-intercept form of the line that passes through the points ( 0, 1 ), ( 4, 2 )

Answers

Slope-Intercept Form - Y = Mx + b

Y = 1/4x + 1

The volume of a cylinder = ar2h. Use 3.14 for A. What is the volume of this cylinder? You may use the calculator tool in the menu.​

Answers

Answer:

{Height and radius not given}

factorise 12d²-19d+5

Answers

Answer:

4d99982726629161619172928227

Step-by-step explanation:

di ko alam Ang sagot

-4/2/5 = -3/1/5 + 7/10g

Answers

Answer:

g=12/7

Step-by-step explanation:

A compound inequality is graphed, and its graph consists of all real numbers. Which open sentence could have resulted in this solution set?


Group of answer choices

r > 3 or r > –2


r > 3 or r –2


r < 3 or r < –2

Answers

Answer:

r>3 or r >-2

Step-by-step explanation:

r> 3 or > -2 I’m not very sure

The scale drawing of a rectangular city park measures 10.0 cm(width) by 5.0 cm(length). The scale of the drawing is 1.0 cm = 4.5 meters. What is the actual length of the park?

Answers

Answer:

given us,

width= 10.0

length= 5.0

here,

w×d= 10.0× 5.0

= 50

now

cm/ m

=1.0/ 4.5

= 2.22

w×d x cm.m× 100

50/ 2.22× 100

2252.25

Step-by-step explanation:

we have to solve and multiply

evaluate the expression 2b3 + 5 when b = 3.

Answers

Answer:

Its 3

Step-by-step explanation:

Its Really easy ngl. if b = 3        and there is a 2 and u are supposed to replace the b its 3

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of 2b³ + 5 at b = 3 is 59.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2b³ + 5  _____(1)

We will find the value of the expression 2b³ + 5 at b = 3.

Substitute b =3 in (1).

= 2b³ + 5

= 2 x 3³ + 5

= 2 x 3 x 3 x 3 + 5

= 2 x 27 + 5

= 54 + 5

= 59

Thus,

The value of 2b³ + 5 at b = 3 is 59.

Learn more about expressions here:

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Sasha has $55 to spend on clothes. She wants to buy a pair of jeans for $27 and spend the rest on t-shirts. Each t-shirt costs $7. Which inequality represents the number of t-shirts she can purchase? (1 point)

Answers

Answer:

well let's start by taking 27 away from 55 to get 28 so we now have $28 to spend on shirts next divided 28 from 7 and you will get your answer

Step-by-step explanation:

step one- 55-27

step two 28÷7

4. (03.06 MC)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inches.
Use n = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them

Answers

Step-by-step explanation:

Volume of a cylinder is:

V = πr²h

V = (3.14) (4 in)² (5 in)

V = 251.2 in³

Volume of a cone is:

V = ⅓ πr²h

V = ⅓ (3.14) (4 in)² (15 in)

V = 251.2 in³

The volumes are equal.

Solve for x. It’s in the picture

Answers

Answer:

c,x=12

Step-by-step explanation:

5/6x+4=x+2

2=1/6x

x=12

need rn! worth 30

What is the value of T(−4) when T(x)=−x−2?

Answers

Answer:

Step-by-step explanation:

can yall help me lol I have to finish this​

Answers

Answer:

21/10 mph

Step-by-step explanation:

When you divide a fraction with another fraction, the number after the division sign gets flipped (meaning that the numerator and denominator switch so 1/2 would be 2/1)

So using that we can solve this:

7/5 / 2/3

7/5 * 3/2

21/10 miles per hour

the answer 21/10 per hour
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