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Alex17521 [72]
3 years ago
10

What equation represents the relationship between f and h?

Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

  f = 7.5h

Step-by-step explanation:

The graph is a straight line through the origin, so represents a proportional relation. For some value of k, you have ...

  f = k×h

The constant of proportionality can be found from any of the points on the graph. I generally find it convenient to use points where the line crosses a grid intersection. (h, f) = (2, 15) is one such point.

  k = f/h = 15/2 = 7.5

Your equation is ...

  f = 7.5h

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what is (5.91 x 10^-3) - (8.7 x 10^10) written in a scientific notation? Please answer asap thank you :))
nata0808 [166]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

\left(5.91\times \:10^{-3}\right)-\left(8.7\times \:10^{10}\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

=5.91\times \:10^{-3}-8.7\times \:10^{10}

as

5.91\times \:10^{-3}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

=5.91\times \frac{1}{10^3}

=\frac{5.91}{1000}

=0.00591

similarly

8.7\times \:10^{10}

Convert element to a decimal form

10^{10}=10000000000

so

=10000000000\times \:8.7

\mathrm{Multiply\:the\:numbers:}\:8.7\times \:10000000000=87000000000

=87000000000

Thus, the expression becomes

\left(5.91\times \:\:10^{-3}\right)-\left(8.7\times \:\:10^{10}\right)=5.91\times \:\:10^{-3}-8.7\times \:\:10^{10}

                                                =0.00591-87000000000

                                                =-86999999999.9941

Hence,

<em>converting -86999999999.9941 in a scientific notation</em>

In order to make our job easier we will remove the sign "-" from number -86999999999.9941 (we will write "-" at the final solution). So after this step we have:

<em>−86999999999.9941  ⟶  86999999999.9941</em>

<em></em>

In order to write number 86999999999.9941 in scientific notation, we need to move the decimal point from its current location (black dot) to the new position such as:

<em>8.6999999999.9941</em>

<em />

So, we need to move the decimal point 10 places to the right.

This means that the power of 10 will be positive 10.

Now we have that the

Number part = 8.69999999999941 and

Exponent part = 10

Thus, we conclude that:

−86999999999.9941 = − 8.69999999999941 × 10¹⁰

8 0
3 years ago
The number of eggs Mia can sell varies directly with the number of chickens she owns. The more hens she owns, the more
fiasKO [112]
Answer:
if she has 6 chickens and she sells 38 per week. you need to do (38 divided by 6) which would equal to 6.3 recurring (6.33333’) so now you’ve found out that one chicken is equivalent to 6.3333’ eggs you do (6.3333333x15) which is equal to 95

hope it helps
6 0
3 years ago
Sylvia checked her balance in her bank account early in the morning and saw that she had 98 dollars in the afternoon she noticed
ankoles [38]

she must have spent 104 dollars

6 0
3 years ago
Identify the following series as arithmetic, geometric, both, or neither. 3a + 3a² + 3a³ + . . . + 3an geometric arithmetic neit
kompoz [17]

Answer:

solution

given=3a+3a^2+3a^3+....+...+...3an

first term(t1)=3a

second term(t2)=3a^2

third term(t3)=3a^3

for arithmetic mean ,d1=d2

d1=t2_t1=3a^2_3a=3a(a_1)

d2=3a^3_3a^2=3a^2(a_1)

here d1 is not equal to d2.

so it's not an arithmetic series.

Again,for geometric mean,r1=r2

r1=d2/d1=3a^2/3a=a

r2=d3/d2=3a^3/3a^2=a

here ,r1 is equal to r2.

so ,it's an geometric series.

8 0
3 years ago
Find a formula for the exponential function passing through the points (-1,5/3) and (3, 135).
Artyom0805 [142]

The expression y = 4.998 · e^{1.098\cdot x} is the exponential function that passes through the points (- 1, 5 / 3) and (3, 135).

<h3>How to derive an exponential function that passes through two given points</h3>

Herein we find the location of two points set on Cartesian plane that belongs to an exponential function of the form:

y = A \cdot e^{B \cdot x}

Where:

  • A - y-Intercept of the exponential function.
  • B - Growth factor
  • x - Independent variable.
  • y - Dependent variable.

Which is equivalent to the following logarithmic expression:

㏑ y = ㏑ A + B · x

If we know that (x₁, y₁) = (- 1, 5 / 3) and (x₂, y₂) = (3, 135), then the following system of equations is generated:

㏑ (5 / 3) = ㏑ A - B

㏑ 135 = ln A + 3 · B

Then, we solve the system by numerical methods:

㏑ A = 1.609 (A = 4.998), B = 1.098

And the exponential function is equal to y = 4.998 · e^{1.098\cdot x}.

To learn more on exponential functions: brainly.com/question/11487261

#SPJ1

6 0
2 years ago
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