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vagabundo [1.1K]

4 years ago

10

A student has passed 70 percent of the 20 quizzes he has written so far successfully. If this student takes 60 quizzes during th

e school year, and passes 85 percent of the remaining quizzes successfully, what will his average score be?

1 answer:

Ne4ueva [31]4 years ago

4 0

I think the answer is52.4

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Given: AB = 4 AC = 6 What point is in the interior of both circles? H. A. B.

AleksAgata [21]

Answer:

Point A is in the interior of both circles

Step-by-step explanation:

<u><em>Verify each point</em></u>

we know that

Point H is in the interior of greater circle but is outside smaller circle

Point A is the center both circles, then is in the interior of greater circle and is in the interior of smaller circle

Point B is on the smaller circle and is in the interior of greater circle

therefore

Point A is in the interior of both circles

5 0

4 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

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

As

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

So

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

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

$y=27000$

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

6 0

3 years ago

-6a-7<br><img src="https://tex.z-dn.net/?f=%20-%206a%20-%207%20%5Cleqslant%2017" id="TexFormula1" title=" - 6a - 7 \leqslant 17"

seropon [69]

$-6a-7\leq17\ \ \ \ |+7\\\\-6a\leq24\ \ \ \ |\text{change the signs}\\\\6a\geq-24\ \ \ |:6\\\\a\geq-4$

3 0

3 years ago

Guys, please help me with this math problem. Thank you so much.

SashulF [63]

(9-4) + 3•8 = 29

Explanation

First you need to apply the PEMDAS rule

Parentheses
Exponents
Multiplication
Division
Addition
Subtract

So when solving the problem you first have to solve what’s in Parentheses first. So (9-4) which would equal 5

Next, according to the PEMDAS rule you’d have to do multiplication next. So 3•8 is equal to 24

And finally, the last step is Addition. After you’ve done the Parentheses and Multiplication you have to add up your answers. 5+24 would be 29

Answer= 29

4 0

3 years ago

Simplify the expression (4x - 3)(x + 5).

Drupady [299]

(4x-3)(x+5)
= 4x^2+20x-3x-15
= 4x^2+ 17x -15.

The final answer is 4x^2+ 17x -15~

3 0

3 years ago