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RoseWind [281]
2 years ago
8

If a = 7^x , b = 7^y and a^yb^x = 49 show that xy = ​

Mathematics
1 answer:
hodyreva [135]2 years ago
4 0
I hope this helps you :)

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a landscaper is designing a park in the shape of a kite with a fountain in the center, F. AK = 28 ft, PF=48 ft and F=32 ft. He w
Keith_Richards [23]

Answer:

169.9

Step-by-step explanation:

6 0
2 years ago
Please help, this is for 8th grade math.
expeople1 [14]

Answer:

(2,-2)

Step-by-step explanation:

The first step is to substitute y in the first equation with the right side of the second equation because they both equal to y.

-3x+4 = 4x-10

-3x-4x+4-4 = 4x-4x-10-4

-7x = -14

-7x/-7 = -14/-7

x = 2

Plugin 2 for x for either equation to solve for y, I'll be using the second equation, but either one is fine.

y = 4(2)-10

y = 8-10

y = -2

Plugin x = 2 and y = -2 into (x,y), and you get (2,-2)

6 0
3 years ago
The amount of algae in a bloom, P, can be modeled by the equation P = t4 + 6t3 + 7t2 + 8t, where t is measured in weeks. When wi
Katyanochek1 [597]

(0,416, infinity) is the best answer

Thank you for your question, <u>your question is: The amount of algae in a bloom, P, can be modeled by the equation P = t4 + 6t3 + 7t2 + 8t, where t is measured in weeks. When will the population of algae be greater than 500?</u>

8 0
3 years ago
Read 2 more answers
1. You invest $2500 with annual interest rate of 4%. How much money will you have after 5 years?Use the following formula:A = P(
Yuki888 [10]

$ 3042

Explanation

we need to use the formula:

\begin{gathered} A=P(1+r)^t \\ \text{where} \\ \text{ P is the principal} \\ r\text{ is the rate ( in decimal)} \\ t\text{ is the time} \end{gathered}

Step 1

a)let

\begin{gathered} P=2500 \\ r=\text{ 4\% =}\frac{4}{100}=0.04 \\ r=0.04 \\ t=5\text{ ( years)} \end{gathered}

b) now, replace

\begin{gathered} A=P(1+r)^t \\ A=2500(1+0.04)^5 \\ A=2500(1.04)^5 \\ A=2500(1.2166) \\ A=3041.63 \\ \text{rounded} \\ A=3042 \end{gathered}

therefore, the answer is

$ 3042

8 0
1 year ago
Which one of the points A(5.2). B(6,-3) and C(4.7) is the mid-point of the other two? Check your answer by calculating two dista
svlad2 [7]

Answer:

A is the midpoint

Step-by-step explanation:

Given

A(5.2) B(6,-3) and C(4.7)

Required

Which is the midpoint

Midpoint is calculated using:

(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)

Testing A as the midpoint, we have:

(5,2) = \frac{1}{2}(6+4,-3+7)

(5,2) = \frac{1}{2}(10,4)

(5,2) = (\frac{1}{2}*10,\frac{1}{2}*4)

(5,2) = (5,2)

<em>The above equation is true. Hence, A is the midpoint of B and C</em>

5 0
2 years ago
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