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3 years ago

Mindy is 39 years old. Mindy's age is 3 years older than two times Jake's age. How old is Jake?

Mathematics

2 answers:

riadik2000 [5.3K]3 years ago

8 0

Answer:

Jake's age = 18.

Step-by-step explanation:

Given : Mindy is 39 years old. Mindy's age is 3 years older than two times Jake's age.

To find : How old is Jake.

Solution : We have given Mindy is 39 years old.

Let the Jake's age = x .

According to question :

Mindy's age is 3 years older than two times Jake's age.

Mindy's age = 2x ( Two times of Jake's age )

Mindy's age = 2x + 3 ( Three more than Jake's age ) .

39 = 2x + 3 .

On subtracting both sides by 3

39 -3 = 2x .

36 = 2x .

On Dividing both sides by 2 .

18 = x

Therefore, Jake's age = 18.

Rzqust [24]3 years ago

4 0

The answer would simply be 1

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Find the surface area of the shape below.

almond37 [142]

Answer:

54m^2

Step-by-step explanation:

Each square has a equal sides, which is 3m

in order to find the surface area, it's

Formula : Base x height = Area

The total surface area would be all the area's added together

3x3=9cm^2

so each square is 9m^2

there are 6 squares so

9+9+9+9+9+9=54m^2

or you can do 9x6=54m^2

8 0

3 years ago

The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5

notsponge [240]

<h2> Question # 1</h2>

Answer:

25 is the factor which grows by between x = 5 and x = 7.

Step-by-step explanation:

Considering the exponential function

$f\left(x\right)\:=\:3\left(5\right)^x$

The growth factor between $x=1$ and $x=3$ is given by:

$\left[3\left(5\right)^3\right]\div \left[3\left(5\right)^1\right]$

$\mathrm{Calculate\:within\:parentheses}\:\left[3\left(5\right)^3\right]\::\quad 375$

$\mathrm{Calculate\:within\:parentheses}\:\left[3\left(5\right)^1\right]\::\quad 15$

So,

= $375\div \:15$

= $25$

Similarly, growth factor between $x=5$ and $x=7$ is given by:

$\left[3\left(5\right)^7\right]\div \left[3\left(5\right)^5\right]$

= $\frac{3\cdot \:5^7}{3\cdot \:5^5}$

$\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1$

= $\frac{5^7}{5^5}$

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

$\frac{5^7}{5^5}=5^{7-5}$

= $5^{7-5}$

= $5^2$

= $25$

Therefore, 25 is the factor which grows by between x = 5 and x = 7.

<h2> Question # 2</h2>

Answer:

The population be in 24 years will be 27000.

Also, the population growth modeled by an exponential function as $y=A\cdot \left(b\right)^t$ is an exponential function.

The graph for $y=A\cdot \left(b\right)^t$ is also shown in attached figure.

Step-by-step explanation:

If a city that currently has a population of 1000 triples in size every 8 years.
what will the population be in 24 years?
Is the population growth modeled by a linear function or an exponential function?

As the city that currently has a population of 1000 triples in size every 8 years.

So, for this case

$y=A\cdot \left(b\right)^t$

where

$A$ = Initial population amount

$b$ = growth rate

$t$ = time

Substituting the values in the function

$y=A\cdot \left(b\right)^t$

$y=1000\cdot \:\:3^{\frac{1}{8}t}$

So, the population be in 24 years

$y=1000\cdot \:\:3^{\frac{1}{8}24}$

$3^{\frac{1}{8}\cdot \:24}=3^3$

$\:y=3^3\cdot 1000$

$y=1000\cdot \:\:27$

$y=27000$

Therefore, the population be in 24 years will be 27000.

Also, the population growth modeled by an exponential function as $y=A\cdot \left(b\right)^t$ is an exponential function.

<h2 /><h2> Question # 3</h2>

Answer:

the graph of the function will translate horizontally 3/5 units right.

Step-by-step explanation:

We have to find the effect on the graph of the function $f(x)=2x$ when it is replaced by f(x- 3/5).

We already have an idea that rule for horizontal translation:

Given a function $f(x)$ , and a constant c > 0, the function $g(x) = f(x - a)$ represents a horizontal shift c units to the right from f(x). The function $h(x) = f(x + a)$ represents a horizontal shift c units to the left.

As 3/5 > 0, so the graph of the function will translate horizontally 3/5 units right.

Therefore, the graph of the function will translate horizontally 3/5 units right.

Keywords: exponential function, translation function, growth factor

Learn more about exponential function and growth factor form brainly.com/question/10147339

#learnwithBrainly

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3 years ago

I WILL MAKE BRAINLEST!!!!!!

frozen [14]

Answer:

$\sqrt{\frac{9}{4}}$ < $\frac{5}{3}$ < $\sqrt{5}$ < 2.5

Step-by-step explanation:

Given the following numbers, $\sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3}$ , let's express each as whole or decimal numbers, to find out the least to the greatest.

$\sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}}$

$\frac{3}{2} = 1.5$

$\sqrt{5}$ ≈ 2.2

2.5 (already in decimal form)

$\frac{5}{3}$ ≈ 1.7

From the least to the greatest, we have:

$\sqrt{\frac{9}{4}}$ < $\frac{5}{3}$ < $\sqrt{5}$ < 2.5

3 0

3 years ago

Simplify. Write answer with positive exponents.8^3⋅8^5

QveST [7]

Step-by-step explanation:

By Law of Indices, a^m * a^n = a^(m+n).

Therefore 8³ * 8⁵ = 8^(3+5) = 8⁸.

3 0

3 years ago

Give the unit rate for the better deal.<br><br> $81<br> 25 gal<br> or <br> $62.05<br> 20 gal

Elan Coil [88]

Answer:

$62.05 for 20 gallons

Sorry if I didn't get it correct. I don't really understand how you worded your question. <3

Step-by-step explanation:

$81 for 25 gallons =

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$62.05 for 20 gallons =

62.05 / 20 = $3.10 for 1 gallon

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3 years ago