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3 years ago

Find an exponential function that fits the information (hint: putting them in a table may help you see).

Mathematics

1 answer:

Vilka [71]3 years ago

7 0

Answer:

f(x)=8*(3.5)^x

Step-by-step explanation:

2=98

3= 98r

4= 98r^2

5= 98r^3

6= 98r^4

98r^4/98, 98 crosses out and its just r^4. r^4= 14706.125/98

r=3.5

So you plug that in and you get f(x)=8*(3.5)^x

I hope this helped. XD

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Math help. you could just answer the inequality and I can do the rest but it would be helpful you you could answer both.

REY [17]

Answer:

Answer is first line

Step-by-step explanation:

-7(x+9) >= 37+3x

Going to solve for x:

-7x - 63 >= 37 + 3x

-7x - 3x >= 37 + 63

-10x >= 100

x <= 100/-10 (notice the change in equality because we divided by negative)

x <= -10

7 0

3 years ago

In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.If there are 30 ounces of green paint how many o

gladu [14]

Answer:

There are 30 ounce of green paint 18 ounces blue paint was needed.

Step-by-step explanation:

Given that,

In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.

Assume 2x blue paint and 3x yellow paint required to make 30 ounce of green paint.

According to the problem,

2x+3x=30

⇒5x=30

$\Rightarrow x=\frac {30}{5}$

⇒ x=6

The amount of blue paint is = 2×6

=12 ounces

The amount yellow paint is = (3×6)

= 18 ounces

There are 30 ounce of green paint 18 ounces blue paint was needed.

6 0

3 years ago

The equation V = 16300 (0.94)^t represents the value (in dollars) of a car t years after its purchase. Use this equation to comp

Dafna1 [17]

Solution:

Given:

$V=16300(0.94)^t$

The value of a car after t - years will depreciate.

Hence, the equation given represents the value after depreciation over t-years.

To get the rate, we compare the equation with the depreciation formula.

$\begin{gathered} A=P(1-r)^t \\ \text{where;} \\ P\text{ is the original value} \\ r\text{ is the rate} \\ t\text{ is the time } \end{gathered}$

Hence,

$\begin{gathered} V=16300(0.94)^t \\ A=P(1-r)^t \\ \\ \text{Comparing both equations,} \\ P=16300 \\ 1-r=0.94 \\ 1-0.94=r \\ r=0.06 \\ To\text{ percentage,} \\ r=0.06\times100=6\text{ \%} \\ \\ \text{Hence, } \\ P\text{ is the purchase price} \\ r\text{ is the rate} \end{gathered}$

Therefore, the value of this car is decreasing at a rate of 6%. The purchase price of the car was $16,300.

5 0

1 year ago

molly is painting a model house and needs to know how much paint she will need. she knows the surface area of the prism is 216 s

Andrej [43]

Answer:

Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid.

Part 2) The dimensions of this surface are 6 in x 6 in.

Part 3) Molly needs to paint 228 square inches.

Step-by-step explanation:

Part 1) Which surface is shared by the two solids?

we know that The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid

Part 2) What are the dimensions of this surface?

The surface is a square with side length 6 inches so The dimensions of this surface are 6 in x 6 in

Part 3) what is the area molly needs to paint?

we know that The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids so therefore, Molly needs to paint 228 square inches

8 0

3 years ago

PLEASE HELP I REALLY NEED HELP ON THIS

jeka94

Answer:

One piece of fabric: 10 x 6, or 60.

If one triangle is 15, she can cut 4 triangles from each piece of fabric.

If she has 24 pieces of fabric, she can cut 4 x 24, or 96 triangle patches.

Let me know if this helps!

4 0

3 years ago