Need help for this one!!

He equation y equals 4 times 6 to the power of t shows the number of infected people from an outbreak of the measles. The variab

bezimeni [28]

The number of infected people will reach 568 in approximately 4 weeks

<h3>Linear equation and function</h3>

Exponential equations are inverse of logarithmic equation and are represented by the equation below:

y = ab^x

where

a is the base value and x is the exponent

Given the equation that shows the number of infected people from an outbreak of the measles as:

y = 4(6)^t

If the number of infected people reach 568, hence;

568 = 4(6)^t

568/4 = 4(6)^t/4

6^t = 568/4

6^t = 142

Take the natural logarithm of both sides

ln(6^t) = ln142

t = ln142/ln6

t = 4.37

Hence the number of infected people will reach 568 in approximately 4 weeks

Learn more on exponential equation here: brainly.com/question/12940982

#SPJ1

3 0

1 year ago

Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.

kow [346]

Answer: The triangles are not similar.

Step-by-step explanation:

Two figures are similar simply if they have the same shape, but not necessarily the same size. In a more mathematical sense, similar figures have the same angle measures and proportionate side lengths.

<em>For reference, side lengths are proportionate when the ratios between corresponding/matching sides are the same.</em>

Since we do not have any angles, we will try using the SSS Similarity Theorem, which states that if all three sides of both triangles are in proportion, then the triangles are similar. We will first list all the side lengths and match corresponding ones.

$\triangle ABC \rightarrow 18,20,32\\ \triangle UVT \rightarrow 14,15,24$

Since we matched corresponding sides, we can now check whether they have the same ratio).

$\frac{18}{14}=\frac{20}{15}=\frac{32}{24}$

$\frac{9}{7}=\frac{4}{3}=\frac{4}{3}$

Not all of the side lengths have the same ratio, so these triangles aren't similar. you must multiply 14 by 9/7 to get to 18, but you need to multiply the other two sides by 4/3 to get to their

4 0

2 years ago

The measure of the interior angles of four refusal

Stolb23 [73]

Answer:

B) 180(n-2)

Step-by-step explanation:

B) 180(n-2)

5 0

3 years ago

Bradley has a goal to work 28 hours each week at the pizza shop. So far he has

k0ka [10]

Answer:

it's 14h

Step-by-step explanation:

The h stands for hours and he needs to work 14 more hours.

8 0

3 years ago

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THIS QUESTION IS EASY, I JUST NEED EXPLANATION.

chubhunter [2.5K]

It would help to have the question. But I'll guess

$\sqrt[4]{x^{\frac 3 5}}{\sqrt{x^2}} = ((x^{\frac 3 5})^{\frac 1 4}) }{ x} = x^{\frac 3{20}} x = x \sqrt[20]{x^3}$

2nd choice.

I forgot the explanation because I was so glad to have puzzled out the question.

The fourth root is the same as the 1/4 th power.

If we know x is positive $\sqrt{x^2}=|x|=x$

$\sqrt[4]{x^{\frac 3 5}}{\sqrt{x^2}}$

$= ((x^{\frac 3 5})^{\frac 1 4}) }{ x}$

We multiply the powers: $(a^b)^c=a^{bc}$

$= x^{\frac 3{20}} x$

The one-twentieth power is the twentieth root. We bring the additional factor of x to the front.

$= x \sqrt[20]{x^3}$

6 0

4 years ago

Read 2 more answers