Which term describes the set of all possible output values for a function?
A. Range
B. Output
C. Domain
оо
D. Input

13 years

Step-by-step explanation:

17 + 15 + 23 + 23 + 23 =101 / 5 = 20.2

Mean before was 20.2

In order for the mean to be 19, all those numbers would have to add up 114 to be divided by 6 and have a mean of 19

114 / 6 = 19

114-101 = 13 is that number

17 + 15 + 23 + 23 + 23 + 13 = 114 / 6 = 19

Answer:

∠3 is 70°

Step-by-step explanation:

∠1 is 50° since it is across from another 50° angle

and then you use the equation x+25+2x+50=180 to find x

x then equals 35°

you then use the alternate interior angle theorem to say that ∠3 is 2x, or 70°

Answer:

It is 70

Step-by-step explanation

right on egde 2020.

Answer:

Step-by-step explanation:

49 is a perfect square, since it equals 7*7; 56 is not. If you have 35.2 and 37T, 36 is the perfect square between the two integers. Take the square root of the perfect square. If you have your square roots for memory, you know that the square root of 36 is equal to 6.

Answer:

[tex]a = -9[/tex]

[tex]b = 4[/tex]

Step-by-step explanation:

Given

Sequence: a+3b, a+7b, a+11b

2nd term = 19

5th term = 67

Required

Find a and b

First, the 5th term needs to be calculated;

Using formula for Arithmetic Progression (AP), the formula goes thus

[tex]T_n = T_1 + (n - 1)d[/tex]

Where n = 5

T_1 = a + 3b ------------ FIrst term

[tex]d = T_2 - T_1 or T_3 - T_2[/tex] --- Difference between two successive terms

[tex]d = a + 7b - (a + 3b)[/tex]

[tex]d = a + 7b -a - 3b[/tex]

[tex]d = a - a + 7b - 3b[/tex]

[tex]d = 4b[/tex]

So, [tex]T_n = T_1 + (n - 1)d[/tex] becomes

[tex]T_5 = a + 3b + (5 - 1)4b[/tex]

[tex]T_5 = a + 3b + (4)4b[/tex]

[tex]T_5 = a + 3b + 16b[/tex]

[tex]T_5 = a + 19b[/tex]

Now that we have values for 2nd and 5th term;

From the second, T2 = 19 and T5 = 67

This gives

[tex]a + 7b = 19[/tex] --- Equation 1

[tex]a + 19b = 67[/tex] ---- Equation 2

Make a the subject of formula in (1)

[tex]a = 19 - 7b[/tex]

Substitute these values in equation 1

[tex]a + 19b = 67[/tex] becomes

[tex]19 - 7b + 19b = 67[/tex]

[tex]19 + 12b = 67[/tex]

Collect like terms

[tex]12b= 67 - 19[/tex]

[tex]12b = 48[/tex]

Divide both sides by 12

[tex]\frac{12b}{12} = \frac{48}{12}[/tex]

[tex]b = 4[/tex]

Recall that b = 4

Substitute a = 19 - 7b and nothing will hire

[tex]a = 19 - 7(4)[/tex]

[tex]a = 19 - 28[/tex]

[tex]a = -9[/tex]

Hence, the values of a and b are -9 and 4 respectively.

Answer:

576π in² and 1,809 in².

Step-by-step explanation:

To find the answer, the formula for the area of a circle, or A = πr², will need to be used.

In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:

48/2 = 24 inches.

Now, plugging this into the equation for the Area of a Circle, gets us:

A = π24²

A = 576π or 1808.64 in².

Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)

Answer:

Step-by-step explanation:

I think 33°

Answer:

its 34 i think

Step-by-step explanation:

Answer:

D. $5,676.88

Step-by-step explanation:

A=P(1+r/n)^n*t

Where

P=principal=$5000

r=interest rate=6.45%=0.0645

n=periods=2(semiannually)

t=time=2 years

A=P(1+r/n)^n*t

=5,000(1+0.0645/2)^2*2

=5,000(1+0.03225)^4

=5000(1.03225)^4

=5000(1.13553756247925)

=5,676.8781

Approximately

$5,676.88

Answer:

C

Step-by-step explanation:

The answer is c because 10.5 also equals up to 1,32300

The statement describes the growth of the account as C. The account grew exponentially at an annual interest rate of 5.00%.

Cash accounts

A cash account might be the type of funding account you believe you studied when you consider making an investment. You deposit cash into a coins brokerage account, and you then use the budget to shop for securities.

A cash account is suitable for the majority of traders. It lets you buy investments with the cash you deposit into the account. A margin account is for investors who want to borrow cash from the broker to buy investments. Margin trading is a riskier sort of investing this is nice proper for advanced traders.

Learn more about Traders at https://brainly.com/question/17727564

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Answer:

m = 153/9

Step-by-step explanation:

since it is the product, you need to divide it to be able to get his age/

hope this helps! :)

Answer:

one slice of pizza: $1

one cookie: $2

Step-by-step explanation:

Emily: two pizzas (1+1)+three cookies (2+2+2)= 8

Rachel: one pizza (1)+four cookies (2+2+2+2)= 9

can i plz get brainilest? :)

Answer:

piza 1 buck

cooky 2 bucks

Step-by-step explanation:

i did not look at the other answer...

lol i copied the other answer

Answer:

x=22.5

Step-by-step explanation:

We are given the proportion:

5/x=2/9

Cross multiply. Multiply the numerator (top number) of the first fraction by the denominator (bottom number) of the second. Then multiply the denominator of the first by the numerator of the second.

5*9=2*x

45=2x

2 and x are being multiplied. The opposite of multiplication is division. Divide both sides by 2. This will cancel out the 2 being multiplied by x, and leave x by itself.

45/2=2x/2

45/2=x

22.5=x

If we substitute 22.5 in for x, the final proportion will be:

5/22.5=2/9

Answer: 22.5 = x

Step-by-step explanation: First, write the problem, 5/x = 2/9. Next, cross multiply. Write the equation, 5 x 9 = 2x. After, write the equation in a multiplying fraction sentence. 45/2 = 2x/2. Lastly, solve for x by dividing 45 by 2. You should end up with a result of 22.5 = x.

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]

Required

What steps should be taken to complete the conversion?

The first step is to cancel out equal units;

Kilometre(s) will cancel out Kilometre(s)

Mile(s) will cancel out Miles

And we'll be left with metres

This is shown below

[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]

[tex]\frac{8\ miles}{1\ mile} * \frac{1.61\ kilometres}{1\ kilometre} * \frac{1000\ metres}{1} =[/tex]

[tex]\frac{8}{1} * \frac{1.61}{1} * \frac{1000\ metres}{1} =[/tex]

The next step is to perform all multiplications

[tex]\frac{8 * 1.61 *1000\ metres}{1 * 1 * 1} =[/tex]

[tex]\frac{12,880\ metres}{1} =[/tex]

[tex]12,880\ metres[/tex]

Answer:

10 inches

Step-by-step explanation:

Answer:

The expression for the amount of wallpaper needed is [tex]20b^{2}- 2d[/tex]

Step-by-step explanation:

The necessary dimensions of the living room we need are the length and the height. We will not be needing the width because we will not be covering the floors with any wallpaper.

We will now assign variables to represent the surface areas of some features of the rooms.

Let the length of one wall of the living room be = l cm

Let the breadth of one wall of the living room be = b cm

Let the surface area of the doors be = d [tex]cm^{2}[/tex]

From the problem, we know that  l = 5b

The area to be covered on one wall of the living room will be = length X breadth.

l X b

recall l = 5b

[tex]5b \times b = 5b^{2}[/tex]

this is the area to be covered on one wall.

For the four walls, we would have [tex]4 \times 5b^{2}= 20b^{2}[/tex]

Let us remember that the living room has two doors each covering a surface area of [tex]d cm^{2}[/tex] we will have to subtract these out since hey won't be covered.

[tex]20b^{2}- 2d[/tex]

Therefore, the expression for the amount of wallpaper needed is [tex]20b^{2}- 2d[/tex]

Answer:

21.66666667

Step-by-step explanation:

3x-4(0)=65

3x=65

x=21.66666667

You replace y wil 0 when you are sovling for x

Answer:

AA similarity

Step-by-step explanation:

Respective angles of both triangles are 40°, 50° and 90°

AA similarity is the case:

Answer:

1/12

Step-by-step explanation:

The desired probability is the product of the probabilities of two independent events.  The probability of obtaining a 4 on the fair 6-sided die is 1/6 (one out of 6) and that of the spinner's coming to rest on Yellow is 2/4, or 1/2.

Calculate the probability of this joint event as follows:  (1/6)(1/2) = 1/12

The complete question is:

A certain element has a half life of 4.5 billion years.

You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?

Answer:

Age of rock = 7.82 billion years

Step-by-step explanation:

For a first order decay, fraction remaining is given by the formula 0.5n where n = number of half lives elapsed.

We are given that;

fraction remaining = 30% = 0.3

Thus;

0.3 = 0.5n

To find n, we have to use the log function;

log 0.3 = n log 0.5

-0.5229 = -0.301 n

n = -0.5229/-0.301

n = 1.737

We are given that;

Half life = 4.5 billion years

So, 1.737 half lives would give;

1.737 × 4.5 = 7.82 billion years

So, age of rock = 7.82 billion years

Answer:

False

Step-by-step explanation:

Flip the equation.

−a<2

Divide both sides by -1.

a>−2

Answer:

3/10

Step-by-step explanation:

There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. = 10

P( green) = number of green / total

               = 3/10

Answer:

B

Step-by-step explanation:

A = 1/2π  * r²

A/(1/2π) = r² (Divide by 1/2π)

r = √(2A/π) (Take the square root of both sides then simplify)

Answer:

B. r=[tex]\sqrt{\frac{2A}\pi}}[/tex]

Step-by-step explanation:

First multiply both sides by 2. This gives us 2A=[tex]\pi[/tex]r². Now, divide both sides by [tex]\pi[/tex]. Now we have [tex]\frac{2A}{\pi}[/tex]=r². Now, square root both sides. The final answer is r=[tex]\sqrt{\frac{2A}{\pi}}[/tex]

It could be 270, -90 in degrees

or if you're in radians it would be 3/2 pi or -1/2 pi

Answer:

Since the diagonals of a rhombus bisect each other, the diagonals are 5 * 2 = 10 and 12 * 2 = 24. To find the area of a rhombus we can divide the product of the diagonals by 2 which is 10 * 24 / 2 = 120 cm².

Answer: 8

Step-by-step explanation:

(-11/2x + 3) -2(-11/4x - 5/2)

Distribute

-11/2x + 3 + 22/4x + 10/2

Simplify 22/4x and 10/2

-11/2x + 3 + 11/2x + 5

Cancel out 11/2x and -11/2x

3 + 5

Add 3 and 5

8

Answer:

8

Step-by-step explanation:

(-11/2 x + 3) -2(-11/4 x - 5/2)

Distribute

-11/2 x + 3 +11/2 x + 5

Combine like terms

-11/2 x +11/2 x + 5+3

8

Answer:

D

Step-by-step explanation:

(6x^2-6)×(6x-1)/(6x-6)

Simplify

U get (x+1)(6x-1)

Answer:

Step-by-step explanation:

The equation modeling the situation is ;

y = 25x + 80

We want to know what the y-intercept mean in this question

Mathematically, the equation of a straight line is ;

y = mx + c

where c is the y intercept and m is the slope

What we should understand is that at the y intercept which is 80 here, the value of x is 0

Now since y means the amount of money spent and x is number of chairs bought, the value 80 means that the amount spent when he bought 0 number of chairs is 80

Now going by the question, since he bought 0 chairs here and we still have some cost, definitely he spent the money on other things which of course might be the amount spent in purchasing some tables

Answer:

(0, -4)

Step-by-step explanation:

The lines intersect at 0, -4. That is also the solution.

Answer:

D

Step-by-step explanation:

The solution of two functions is the point(s) where they intersect. Since these two graphs intersect at the point (0,-4), this is the solution to the system. Hope this helps!

Answer:

The system of equations does not have a solution.

Step-by-step explanation:

For example, imagine these two equations y = x + 7 and y = x + 9

Now substitute y in the second equation with the value from the first equation:

x + 7 = x + 9

x - x + 7 = 9

0 + 7 = 9

7 = 9.

That happens because the equations represent parallel lines, which do not have a common pair of points.