3 times the sum of a number and 12 is 56

Answer:

Step-by-step explanation:

We are given the volume formula:

Find the height:

Substitute all into formula:

You may keep it as is or simplify:

Answer:

-2

Step-by-step explanation:

hope this helps

Answer:

Slope = -2

Step-by-step explanation:

slope = (y2-y1) / (x2-x1)

choose 2 points

i choose (2, -1), and (5, -7)

slope = (-7 - (-1))/(5-2)

slope = (-6)/3

slope = -2

Answer: y = x +8

Step-by-step explanation:

The total earnings of the bus driver in a year is $28500.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

The bus driver works 2000 hours each year and makes $14 per hour.

If the bus driver gets $50 for each new recruit he hired.

Let y be his total earnings and x be the number of new drivers he recruits.

Then his total earnings can be represented by the function:

y = 14 × 2000 + 50 × x

If the bus driver recruits x = 7 new drivers.

y = 28000 + 50 × 7

y = 28000 + 350

y = $28350

The total earnings of the bus driver are $2850.

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Answer:

D)  68

Step-by-step explanation:

PEMDAS

The PEMDAS rule is an acronym representing the order of operations in math:

Given expression:

72 - 9 ÷ 3 · 2 + 2

Following the order of operations, carry out the multiplication and division first, working from left to right.

Divide 9 by 3:

⇒ 72 - 9 ÷ 3 · 2 + 2

⇒ 72 - 3 · 2 + 2

Multiply 3 by 2:

⇒ 72 - 3 · 2 + 2

⇒ 72 - 6 + 2

Now carry out the addition and subtraction, working from left to right.

Subtract 6 from 72:

⇒ 72 - 6 + 2

⇒ 66 + 2

Add 66 and 2:

⇒ 66 + 2

⇒ 68

Solution

72 - 9 ÷ 3 · 2 + 2 = 68

Answer:

d

Step-by-step explanation:

A)  The conditional relative frequency of a student who plans to live at home, given that they plan to attend college is; 53.85%

B) Yes,  there is an association between attending college and living at home.

A conditional relative frequency is calculated by dividing a frequency that is not in the Total row or the Total column by the frequency's row total or column total.

A) From the definition above, the conditional relative frequency of a student who plans to live at home, given that they plan to attend college is; 35%/65% = 7/13 = 53.85%

B) Yes there is an association between attending college and living at home because the percentage of students who plans to live at home, given that they plan to attend college over half of those is more than 50%.

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[tex]2x(4x - 3) + 5(4x -3 ) \\ = {8x}^{2} - 6x + 20x - 15 \\ = 8 {x}^{2} + 14x - 15[/tex]

ATTACHED IS THE SOLUTION

Answer:

I think it would be 8x2^ + 14x − 15

Answer:

346,990

Step-by-step explanation:

Answer:

[tex]\textsf{Slope-intercept form}: \quad y=-\dfrac{1}{4}x+30[/tex]

[tex]\textsf{Slope}: \quad -\dfrac{1}{4}[/tex]

[tex]\textsf{$y$-intercept}: \quad 30[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given equation:

[tex]5x + 20y = 600[/tex]

To convert the given equation to slope-intercept form:

[tex]\boxed{\begin{array}{rccccccc}5x &+ & 20y & = & 600&&&\\-5x & & & && -5x &&\\\\\cline{1-8}\\& & \dfrac{20y}{20} & = & \dfrac{-5x}{20} & + & \dfrac{600}{20}\\\\&& y&=&-\dfrac{1}{4}x & + & 30\end{array}}[/tex]

[tex]\textsf{Slope-intercept form}: \quad y=-\dfrac{1}{4}x+30[/tex]

[tex]\textsf{Slope}: \quad -\dfrac{1}{4}[/tex]

[tex]\textsf{$y$-intercept}: \quad 30[/tex]

Answer:

Incomplete question

...

1) The equation of line is; y = (1/3)x + 1

2) The x - intercept is -3 and the y-intercept is 2

3) Area of CAT is; 6 sq.units

4) Perimeter is; 14.325 units

1) The coordinates of the line AC on the graph are;

A(-3, 0) and C(3, 2)

Thus, equation of line is gotten from the formula;

(y₂ - y₁)/(x₂ - x₁) = (y - y₁)/(x - x₁)

(2 - 0)/(3 + 3) = (y - 0)/(x + 3)

2/6 = y/(x + 3)

3y = x + 3

y = (1/3)x + 1

2) The x - intercept is -3 and the y-intercept is 2

3) Area of CAT is;

Area = 1/2 * base * height

Area = 1/2 * 6 * 2

Area = 6 sq.units

4) Perimeter of ACT is gotten by;

AT + CT + AC

AC = √((2 - 0)² + (3 + 3)²)

AC = √40

Thus;

Perimeter = 2 + 6 + √40

Perimeter = 14.325

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The function is increasing over the interval (-3,-1).

A table with x and f(x) values are given as:

x         f(x)

-6         34

-5          3

-4        -10

-3         -11

-2         -6

-1           -1

0           -2

1            -15

We have to check whether this function is increasing or not in the intervals  (–6, –3), (–3, –1), (–3, 0), (–6, –5).

A function is said to be increasing over an interval (x, y), if for x < y, it follows that f(x) < f(y).

Consider the intervals one-by-one.

For (-6, -3), we have the function values in between which are  34 > 3 > -10 > -11. So in this interval the function is not increasing but decreasing over the x-values in (-6, -3).

For (-3, -1), the corresponding function values are -11 < -6 < -1. Here the function values are increasing over the x-values in the interval (-3, -1).

For (-3,0), the corresponding function values are -11 < -6 < -1 >-2. Since we got -1 > -2 in the interval (-3,0), the function is not increasing here also.

For (-6,-5), the corresponding function values are 34 > 3. So the function is not increasing but decreasing.

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Given the exponential model:

Where A is the initial condition, b is the growth factor and x is a time-like variable.

We know that the growth factor is 1.9 and that 1500 people died of AIDS in 1983. If we make x to be the years passed since 1983, then 1500 is our initial condition (because 0 years passed). In our model:

For 2005, x = 22:

The best approach to provide an answer to the question would be: Calculate a confidence interval using t*

The confidence interval is often used to obtain the true population mean. The question asks us to identify evidence that points to the fact that the mean amount of water drank by each teenager is more than 1.5 liters.

We are here searching for the true population mean. We calculate a confidence interval using t when the population variance is not known as is the case here. So, to solve this question, we would calculatethe confidentce interval using t*.

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The answer is C y=x+8

98,075,643,476

Step-by-step explanation:

I add 20 to 56 and the answer is thos

Answer:

17, 19 & 21

Step-by-step explanation:

Answer:

the answers i found were 17, 19 and 21

The average change in temperature per hour is 7.1°.

Given, the temperature in a certain city changed to 34.084°F

over 4.8 hours.

the average change in temperature per hour = ?

average temperature = change in temperature/time taken.

= 34.08/4.8

= 71/10

= 7.1°f

the change in temperature is 7.1°f

Hence the change in temperature per hour is 7.1°f.

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area = 78.5 ft squared

diameter = ?

Answer:

5.87 x [tex]10^{-17}[/tex]

Step-by-step explanation:

You need to write the number as 1 or larger than 1, but less than 10.  That means that I need to put the decimal between the 5 and the 8.  Now I have to count how many places I moved the decimal.  I think that I counted right.  It was moved 17 places.  Since the number in standard form is much smaller than 5.87, the exponent will be negative.

The volume of the spherical rubber ball to the nearest cubic inch is 87.11 cubic inches.

The capacity of a sphere is its volume. It is the area that the sphere occupies. Cubic measurements for sphere volume include m^3, cm^3, and in^3.

The formula of volume of the sphere is

V = 4/3πr3

given that the radius of spherical rubber ball is 2 3/4

here the radius is given in improper fraction

now convert it into the decimal by following procedure.

first multiply the 2 with 4

2 X 4 = 8

now add 8 to 3. 8 + 3 = 11

The proper fraction of 2 3/4 is 11/4.

so, the decimal number is 2.75

now put r = 2.75 in formula to get the volume.

V = 4/3 X 3.14 X 2.75 X 2.75 X 2.75

V = 1.33333 X 3.15 X 20.7968

V = 87.11 cubic inches

Hence,the volume of the spherical rubber ball to the nearest cubic inch is 87.11 cubic inches.

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Answer: 104.3

Step-by-step explanation: To divide a decimal by another decimal: Move the decimal point in the divisor to the right until it is a whole number.

The measure of FG is 16 units.

The measure of FG can be found as follows:

GE is an angle bisector.

An angle bisector is a bisector that bisect angles into two equal halves.

Therefore,

GE bisect ∠FEH

Hence,

FG = GH

FG = x + 11

GH = 3x + 1

x + 11 = 3x + 1

11 - 1 = 3x - x

10 = 2x

x = 10 / 2

x = 5

Therefore,

FG = x + 11 = 5 + 11 = 16 units

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The factorization of the quadratic expression 25x² - 4 gives us (5x + 2)(5x - 2) where; x = -2/5 or 2/5

We are given the quadratic equation as;

25x² - 4

Now, this quadratic equation can be written as;

25x² + 10x - 10x  - 4

We can group this using algebra properties to get;

(25x² + 10x) - (10x + 4)

Collecting like terms gives us;

5x(5x + 2) - 2(5x + 2)

Thus, the factorization is;

(5x + 2)(5x - 2)

The values of x will be;

5x + 2 = 0

x = -2/5

Or 5x - 2 = 0

x = 2/5

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I WILL USE THE METHOD OF ADDITIVE INVERSE.

[tex]t - 6 + 6 = 13 + 6 \\ t = 19[/tex]

ATTACHED IS THE SOLUTION

Answer:

Step-by-step explanation:

You need to see what 13 minus 6 is and that the T value then just plug it in. The answer is 7

The probability that a cookie is randomly picked and it does not contain chocolate or nuts will be 0.52

As per the question statement, a box of assorted cookies has 36% of them containing chocolate and 12% containing nuts, and of those, again 8% contain both chocolate and nuts, and we are assuming that the rest of the cookies neither contain chocolate, nor nuts.

Based on the conditions and our assumptions provided in the above mentioned statement, we are required to calculate the probability that a cookie is randomly picked and it does not contain chocolate or nuts.

Considering the total number of cookies in the box to be 100%, since 36% of them containing chocolate and 12% containing nuts and the rest of the cookies are assumed to contain neither chocolate, nor nuts,

The probability that a cookie is randomly picked and it does not contain chocolate or nuts will be [{100 - (36 + 12)}/100]

                                      = [(100 - 48)/100]

                                      = (52/100)

                                      = 0.52

Probability: It is a branch of Mathematics, that deals with the numerical descriptions concerning the extent to which an event is likely to occur, or how likely it is for a proposition to be true, and is measured by the ratio of the favorable cases to the whole number of cases possible.

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Slope m is positive when

x₁≥ -2

y₁ ≥ -5

Slope, usually referred to as rise over run, is the "steepness" of the line. By dividing the difference in y values between two points by the difference in x values, we may determine slope. The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope. A line that is moving up will have a positive slope, and a line that is moving down will have a negative slope, if you view the line from left to right.

Given,

Point (-2. -5)

Slope = [tex]\frac{y_{1}-(-5) }{x_{1}-(-2) }[/tex]

Slope = [tex]\frac{y_{1}+5 }{x_{1}+2 }[/tex]

Slope m is positive when

x₁≥ -2

y₁ ≥ -5

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a. Connect S to C and A.

b. The shoe store

c. If a book is a paperback, then it is on sale. If a book is on sale, then its sale price is 20% off the original price.

d. If a book is a paperback, then its sale price is 20% off the original price

Any diagram that conveys mathematical concepts is referred to as a math diagram. This includes both simple charts and graphs and complex logic and geometrical diagrams. A visual aid can help you understand math and science concepts.

Two parallel columns make up a mapping diagram. The first column represents a function's domain, and the second column its range. To represent the relationship between any two elements, lines or arrows are drawn from domain to range.

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An item is regularly priced at $78. Martina bought it at a discount of 80% off the regular price. Martina paid $15.6

Sales price:  The price that is paid by the buyer at the time when something is sold: People who sold their homes through real estate agents typically did not get a higher sale price than people who sold their homes themselves

The formula for calculating sales price of an item is:

s=p-(p x d)

where,

s is the sales price (which we are going to calculate in this problem)

p is the regular price of the item which is $78

d is the discount rate which is 80%

which means out of 100 = 80/100

substitute the above values in the formula then we get

s=$78-($78 x 80/100)

s=$78-($6240/100)

s=$78-$62.4

s=$15.6

Martina paid $15.6

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