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Mila [183]
3 years ago
5

Solve the proportion 2/z-5=z/0.5zpower2+7 A.1/5 B.6 C.-7/5 D.-14/5

Mathematics
1 answer:
stiv31 [10]3 years ago
5 0
2 / (z-5) = z / (0.5z^2 + 7)
cross multiply
z(z - 5) = 2(0.5z^2 + 7) =
z^2 - 5z = z^2 + 14 = 
z^2 - z^2 - 5z = 14
-5z = 14
z = -14/5
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Please help!!!Water flows through a pipe at a rate of 620 gallons every 5.5 minutes. Express this rate of flow in cups per secon
cestrela7 [59]

Answer:

30 cups/second

Step-by-step explanation:

620 gallons = 9,920 cups

5.5 minutes = 330 seconds

9,920/330 = ~30

7 0
3 years ago
Which equation is equivalent to 5x=1n 8?
Semenov [28]

Answer:

The answer is

→ <u><em>Option B.) e^5x=8</em></u>

Step-by-step explanation:

5x= lm8

⇒ <u><em>e^5x=8</em></u>

(Use the Property of Logarithms)

Therefore, e^5x=8 is your answer.

Hope this helped! :^)

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3 0
3 years ago
QUESTION 2
WITCHER [35]

Answer: 106.76yards

Step-by-step explanation:

Circumference of a circle is given as:

= 2πr

where,

π = 3.14

r = 17 yards

Circumference = 2πr

= 2 × 3.14 × 17.

= 106.76yards

Therefore, the circumference of the circle will be 106.76yards

6 0
3 years ago
If you spun the spinner 100 times, how many times would you expect to spin yellow?
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Answer:

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Step-by-step explanation:

8 0
3 years ago
The function f is defined as follows for the domain given.
SCORPION-xisa [38]

Answer:

The range of the function in ascending order is:

Range R = {-2, 0, 2, 4}

Step-by-step explanation:

Given the function

f(x) = 2-2x

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis

As the domain of the function is given such as

Domain D = {-1, 0, 1, 2}

<u>Determining the range </u>

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

Range refers to all the possible sets of output values on the y-axis.

As the domain is

Domain D = {-1, 0, 1, 2}

FOR x = 1

substitute x = -1 in the function

f(x) = 2-2x

f(-1) = 2-2(-1) = 2+2=4

so

at x = -1, y = 4

FOR x = 0

substitute x = 0 in the function

f(x) = 2-2x

f(-1) = 2-2(0) = 2-0=2

so

at x = 0, y = 2

FOR x = 1

substitute x = 1 in the function

f(x) = 2-2x

f(-1) = 2-2(1) = 2-2=0

so

at x = 1, y = 0

FOR x = 2

substitute x = 2 in the function

f(x) = 2-2x

f(-1) = 2-2(2) = 2-4=-2

so

at x = 2, y = -2

Thus combining all the output or y values correspond to the given input values, we get the range of the function.

Thus, the range of the function in ascending order is:

Range R = {-2, 0, 2, 4}

4 0
3 years ago
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