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1 year ago

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Which expressions are equivalent to -4(-25y + 4 + 50y - 8)? Select all that apply. A - 100 y - 4 -2123y - 5 + 27y - 3) B C (100y

+ 32) - (200y + 16) D -16 - 100y -(-100y + 16 + 200y- 32) E F -300y - 48

1 answer:

Jobisdone [24]1 year ago

8 0

Answer: C (I don't see answers for B nor E)

Step-by-step explanation:

$-4(-25y+4+50y-8)\\100y-16-200y+32\\-100y+16$

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There are 345 students at a college who have taken a course in calculus, 212 who have taken a course in discrete mathematics, an

ollegr [7]

Answer:

369 students have taken a course in either calculus or discrete mathematics

Step-by-step explanation:

I am going to build the Venn's diagram of these values.

I am going to say that:

A is the number of students who have taken a course in calculus.

B is the number of students who have taken a course in discrete mathematics.

We have that:

$A = a + (A \cap B)$

In which a is the number of students who have taken a course in calculus but not in discrete mathematics and $A \cap B$ is the number of students who have taken a course in both calculus and discrete mathematics.

By the same logic, we have that:

$B = b + (A \cap B)$

188 who have taken courses in both calculus and discrete mathematics.

This means that $A \cap B = 188$

212 who have taken a course in discrete mathematics

This means that $B = 212$

345 students at a college who have taken a course in calculus

This means that $A = 345$

How many students have taken a course in either calculus or discrete mathematics

$(A \cup B) = A + B - (A \cap B) = 345 + 212 - 188 = 369$

369 students have taken a course in either calculus or discrete mathematics

4 0

2 years ago

The volume of a large can of tuna fish can be calculated using the formula V= πr(r)h. Write an equation to find the radius, r, i

noname [10]

The equation $r=\sqrt\frac{V}{3.14h}$ can be used to find the radius.

Step-by-step explanation:

Given,

Volume of large can;

V=πr(r)h

V=πr²h

Dividing both sides by πh

$\frac{V}{\pi h}=\frac{r^2\pi h}{\pi h}\\\\\frac{V}{\pi h}=r^2\\\\r^2=\frac{V}{\pi h}$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{\frac{V}{\pi h}}\\r=\sqrt\frac{V}{\pi h}$

Putting π=3.14

$r=\sqrt\frac{V}{3.14h}$

The equation $r=\sqrt\frac{V}{3.14h}$ can be used to find the radius.

Keywords: volume, square root

Learn more about square root at:

#LearnwithBrainly

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2 years ago

A botanist is using two types of plants for an experiment. She writes inequalities to model the constraints on the number of eac

Valentin [98]

The vertex (5,39)

5 is the value of x. 39 is the value of y. y is the cost function of the minimum value in dollars.

(5,39) vertex means that <span>Buying five of each type of plant costs $39, which is the lowest possible cost.</span>

3 0

2 years ago

Read 2 more answers

What is the exact volume of the cone?<br> base 7in <br> height 4in <br><br> PLEASE HELP ASAP

torisob [31]

The volume formula of a cone is $\frac{1}{3} \pi r^{2} h$ the r is the radius and h is the height. However, if you multiply by pi, you will get an approximated volume of the cone. So we will multiply like this for now. $\frac{1}{3} r^{2} h$ Don't worry, we'll use pi in the end.

I'm going to assume that 7 inches is your radius. We need to plug in 7 for r and 4 in for h into the equation. Once we do that, it will look like this. $\frac{1}{3} 7^{2} 4$

$\frac{1}{3}$ means we will need to divide one by 3. That gives us 0.33333... now we have to multiply by $7^{2}$ we get 16.33333... now the last thing we need to do is multiply by 4, which is h. We get 65.33333. Add pi and you have your answer. $65.333333333 \pi$

8 0

1 year ago

Which is a stretch of an exponential growth function? f(x) = Two-thirds (two-thirds) Superscript x f(x) = Three-halves (two-thir

Arte-miy333 [17]

Answer:

f(x) = Three-halves (three-halves) Superscript x

f(x) = Two-thirds (three-halves) Superscript x

Step-by-step explanation:

Since, a function in the form of $f(x) = ab^x$

Where, a and b are any constant,

is called exponential function,

There are two types of exponential function,

Growth function : If b > 1,

Decay function : if 0 < b < 1,

Since, In

$f(x) =\frac{2}{3}(\frac{2}{3})^x$

$\frac{2}{3} < 1$

Thus, it is a decay function.

in $f(x) =\frac{3}{2}(\frac{2}{3})^x$

$\frac{2}{3} < 1$

Thus, it is a decay function.

in $f(x) =\frac{3}{2}(\frac{3}{2})^x$

$\frac{3}{2} > 1$

Thus, it is a growth function.

in $f(x) =\frac{2}{3}(\frac{3}{2})^x$

$\frac{3}{2} > 1$

Thus, it is a growth function.

5 0

2 years ago

Read 2 more answers