Choose the TRUE statements.

The absolute value of a number 35 units to the left of zero on a number line is 35.
The absolute value of a number 49 units to the left of zero on a number line is −49.
The absolute value of a number 12 units to the left of zero on a number line is 12.
The absolute value of a number 125 units to the right of zero on a number line is 125.

Answer:

I believe n equals 13.

Step-by-step explanation:

Answer:

The answer to your question is n=13

Step-by-step explanation:

n-26= -13

Add 26 on both sides

n-26+26=-13+26

n=13

Answer:

P = 21%

Step-by-step explanation:

We look for the percentage of employees who are not more than 30 years old.

This is:

[tex]P = \frac{x}{n} *100\%[/tex]

Where x is the number of new employees who are not over 30 years old and n is the total number of new employees.

We do not know the value of x or n. However, the probability of randomly selecting an employee that is not more than 30 years old is equal to [tex]P = \frac{x}{n}[/tex]

Then we can solve this problem by looking for the probability that a new employee is not more than 30 years old.

This is:

[tex]P(X< 30)[/tex]

Then we find the z-score

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

We know that:

μ = 38 years

[tex]\sigma = 10[/tex] years

So

[tex]Z = -0.8[/tex]

Then

[tex]P (X<30) = P (\frac{X- \mu}{\sigma} < \frac{30-38}{10})\\\\P (X<30) = P(Z<-0.8)[/tex]

By symmetry of the distribution

[tex]P(Z<-0.8)=P(Z>0.8)[/tex]

Looking in the normal standard tables

[tex]P(Z>0.8)=0.211[/tex]

Finally P = 21%

Answer:

C. are symmetrical

Step-by-step explanation:

Regular polygons mean that the polygon has sides with equal measures. This means that any line drawn from the vertex straight down passing through the center will create two symmetrical figures.  

A regular polygon is a polygon with n number of sides such that the measure of each side of the polygon is equal. The correct option is C.

A regular polygon is a polygon with n number of sides such that the measure of each side of the polygon is equal and the measure of the interior angle between any two consecutive sides is equal.

All regular polygons are symmetrical. This can be observed for any regular polygon with n number of sides.

Hence, All regular polygons are symmetrical.

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Answer: the circumference

Step-by-step explanation:

Answer:

circumfrence

Step-by-step explanation:

Answer:

Assuming the choices are only of C and D, D would be the graph of the function.

Step-by-step explanation:

There are many things that would cause D to be the graph of f(x).

Firstly, D has the end behavior of a [tex]-x^{3}[/tex] function.

Secondly, it has correct zeroes

Lastly, Its y-intercept is -24, which is the case of the function f(x) as

[tex]f(0) = -24[/tex]

Okie so:

1. Put the numbers in order~

Find the middle~

11, 15, 15, 15, 16, {17}, 18, 19, 20, 22, 23

The median is 17

2. Find the middle of the first section~

11, 15, {15}, 15, 16,

The first quartile is 15

3. Find the middle of the last section~

18, 19, {20}, 22, 23

The third quartile is 20

Follow the same steps as above:

4. 8, 8, 9, 11, {13}, 17, 20, 20, 21

The answer is 13

5. 8, 8{ } 9, 11

The answer is 8.5

6. 17, 20{ } 20, 21

The answer is 20

First we have to determine 30% of 12.

(30×12)÷100=3.6 so 3.6 is 30% of 12.

12 - 3.6= 8.4

Your answer is 8.4

Answer:

(4x−3)(3x²+2)

Step-by-step explanation:

Factor 12x3−9x2+8x−6

12x3−9x2+8x−6

=(4x−3)(3x2+2)

The factored form of the expression 12x³ - 9x² + 8x - 6 by grouping is (3x² + 2)(4x - 3).

To factor the expression 12x³ - 9x² + 8x - 6 by grouping, we can group the terms in pairs and factor out the common factors.

Step 1: Group the terms in pairs

(12x³ - 9x²) + (8x - 6)

Step 2: Factor out the greatest common factor from each pair

3x²(4x - 3) + 2(4x - 3)

Step 3: Notice that both terms now have a common factor of (4x - 3)

(3x² + 2)(4x - 3)

Therefore, the factored form of the expression 12x³ - 9x² + 8x - 6 by grouping is (3x² + 2)(4x - 3).

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Answer:

[tex]\boxed{ a_{n} = 6a_{n-1}}[/tex]

Step-by-step explanation:

Step 1. Determine the common ratio

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

Data:

a₁ = 4

n = 6

a₆ =31 104

Calculation:

31 104 = 4r⁵

r⁵ = 7776

[tex]r = \sqrt [5]{7776}[/tex]

r = 6

aₙ = 4(6)ⁿ

Step 2. Determine the recursive formula.

aₙ = 4(6)ⁿ

aₙ₋₁ = 4(6)ⁿ⁻¹

[tex]\dfrac{a_{n}}{{a_{n-1}}} = \dfrac{4(6)^{n} }{4(6)^{n-1}} = 6\\\\a_{n} = 6a_{n-1}[/tex]

The recursive formula for the series is [tex]\boxed{ a_{n} = 6a_{n-1}}[/tex]

Answer:

y = 5/3x + 4

Step-by-step explanation:

the y-intercept in the original equation lies at (0,0), as there is no given value for the y intercept.

when you move the graph up 4 units, you are going along the y-axis, meaning the y intercept will change to be (0,4)

Answer:

no horizontal asymptote

Step-by-step explanation:

When the degree of the numerator > degree of the denominator there is no horizontal asymptote but there is a slant asymptote.

Dividing the numerator by the denominator gives

[tex]\frac{x^2-x-6}{x+4}[/tex] = x - 5 + [tex]\frac{14}{x+4}[/tex]

There is a slant asymptote with equation y = x - 5

Answer:

19.2 grams

Step-by-step explanation:

We can solve the problem via ratio and proportions or simply through cross-multiplication;

we can formulate the following proportions;

(medication/weight) = constant

24/150 = x/120 = constant

where x is the quantity of medication for the 120 lb woman.

solving for x yields;

x = (24/150)*120

x = 19.2 g

Answer:

The correct answer is 19.2 grams

Step-by-step explanation:

It is given that, a 150lb woman receives 24 grams of medicine

To find the amount of medicine

150lb woman receives 24 grams

From the given information we can write,

1lb woman receives 24/150 grams

120lb woman receives = (24/150) * 120

 = 19.2 grams

Therefore 120lb woman get 19.2 grams

The correct answer is 19.2 grams

Answer:

C) 17%

Step-by-step explanation:

Table:          has tablet | no tablet | total

has phone |      25              65         90

no phone   |       20            10           30

total            |       45             75         120

No tablet total: 120 - 45 = 75

No phone total: 120 - 90 = 30

No tablet phone: 75 - 10 = 65

No phone tablet: 30 - 10 = 20

Both: 45 - 20 = 90 - 65 = 25

-------------------------------------------------------------------------

So out of 120 students, 20 of them will have a tablet but no phone. 20/120 = 1/6 = 0.16666... ≈ 17%

Answer:

Step-by-step explanation:

[tex]f(x)=2x;\ g(x)=?\\\\(g\circ f)(x)=6x+2=3(2x)+2=3\bigg(f(x)\bigg)+2\to g(x)=3x+2\\\\Check:\\\\f(x)=2x,\ g(x)=3x+2\\\\(g\circ f)(x)\to\text{instead of x in g (x), put}\ 2x:\\\\(g\circ f)(x)=3(2x)+2=6x+2\qquad\bold{CORRECT :)}[/tex]

Answer:

D

Step-by-step explanation:

Arrange the data 2, 8, 18, 7, 42, 12, 16, 14, 11, 4, 1, 10, 19 in ascending order:

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

The number 42 is an outlier of the data.

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

Write a five-number summary:

Min:  1

Q1: 5.5 (the average between the middle terms of first half of the data)

Med: 11 (the  middle term of the data)

Q3: 17 (the average between the middle terms of second half of the data)

Max: 19

Outlier: 42

Only option D shows

Answer:

The last box plot

Step-by-step explanation:

A box plot is simply a graphical representation of the 5 number summary of a data set;

The minimum, first quartile, median, third quartile, and the maximum

in that order.

We can therefore arrange our given data set from the least to the greatest value;

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

The value 42 is an outlier since it is more extreme than the rest of the values.

From our arrangement of the data values above, we can note the following;

The minimum value is 1

The maximum value is 19

42 is an outlier, will be represented by a dark circle

The box-plot that matches the above is the last one and is thus the correct modified box-plot for the data

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

Look at the points:

(1, 1), (1,4)

(1,4), (4,4)

(4,4), (1,1)

Find the slope between each point: In respective order, the first one is undefined, the second one has a slope of zero, and the third has a slope of 1. Because undefined slope is completely vertical (parallel to the y axis, and the slope of 0 is completely horizontal (parallel to the x axis), they are perpendicular (as it is transitive since the x axis is perpendicular to the y axis). Therefore, we know that anything that is perpendicular created a right angles', and thus, the any triangle with a right angle is a right triangle.

Answer:

Step-by-step expla5+7x12+75-94x347+7 2/9​nation:

Answer:

Part B: [tex]\displaystyle [1, 2][/tex]

Part A: Set both equation equal to each other by Substitution, since our y-values are already given to us.

Step-by-step explanation:

6x - 4 = 5x - 3

- 6x + 3 - 6x + 3

____________

[tex]\displaystyle -1 = -x; 1 = x[/tex]

Plug this coordinate back into the above equations to get the y-coordinate of 2.

y = mx + b [where b is the y-intercept and the rate of change (slope) is represented by m]

[tex]\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m[/tex]

I am joyous to assist you at any time.

Answer:$900

Step-by-step explanation:Because 30 times 20 + 300 equals 900

Answer:

Broker Q’s commission will be $13.56 less than Broker P’s

Step-by-step explanation:

Answer:

Broker Q will give Diana the better deal by $13.56.

Step-by-step explanation:

Diana wants to purchase a par value $1000 corporate bond. Broker P charges 4.4% of the market value, so the commission would be $46.06008 per bond. On the other hand, Broker Q would only charge $32.50 for each bond; due to this, the difference would be $13.56 in favor of Broker Q.

Answer:

D. [tex]F(x)=(x+4)^2-5[/tex]

Step-by-step explanation:

The parent function is [tex]G(x)=x^2[/tex].

This function has its vertex at the origin (0,0).

When this function is shifted down 5 units and to the left 4 units, then its new vertex will be at (-4,-5)

The vertex form of the equation is given by;

[tex]F(x)=a(x-h)^2+k[/tex] where (h,k)=(-4,-5) is the vertex and a=1 because of the parent function.

Hence its equation is

[tex]F(x)=(x+4)^2-5[/tex]

Answer:

Option C

Step-by-step explanation:

A function g(x) = x² has been given as the parent function.

This function then shifted 5 units down.

Translated  function formed will be f(x) = x² - 5

Further this graph has been shifted 4 units to the left then the function will become

f(x) = [x - (-4)]² - 5

f(x) = (x + 4)² - 5

Therefore, option C is the answer.

Answer:

bench:  $416; table:  $325.

Step-by-step explanation:

Let t and b represent the costs of the table and bench respectively.  Then:

t + b = $741, and t = b + $91.

Substituting b + $91 for t in the first equation, we get:

b + $91 + b = $741

Then 2b = $741 - $91, or 2b = $650

Then the bench costs $325 and the table ($325 + $91), or $416.

D

Y does not follow the pattern for the x to y or y to x or x to X or even y to y

Answer:

2.87

Step-by-step explanation:

11.17-8.30=2.87

Answer:

2.87

Step-by-step explanation:

subtract 8.30 from 11.17 hope this helps

if does mark me top brain thing or what ever

Answer:

The number of coins Julia found is 5

Step-by-step explanation:

We know that the total number of gold coins collected divided by the number of people collecting is 6. So we can set up an equation:

[tex]\frac{6+5+6+8+x}{5}=6[/tex]

this simplifies to:

[tex]\frac{25+x}{5}=6[/tex]

Using the multiplication property of equality and multiplying both sides by we get:

25+x=30

Then finally, using the subtraction property of equality we get our answer:

x=5

Answer:

40

Step-by-step explanation:

Find the smallest multiple number shared by the two numbers.

10: 10, 20, 30, 40

8: 8, 16, 24, 32, 40

40 is the smallest multiple shared by the two numbers, and is your answer.

~

Answer:

40

Step-by-step explanation:

have a nice day

Substitute

4x+2=x-4

Then solve

3x=-6

x=-2

Substitute answer into an equation to find y

y=-2-4

y=-6

So you solution is:

(-2,-6)

Answer: A. 370 cm2

Step by Step explanation:

10x15=150 The big rectangle

15x6=90x2=180 The small rectangles

20x2=40 the triangles

Add all up 150+180+40=370

Hope this helped

Answer:

Width = 16 cm

Length = 9 cm

Step-by-step explanation:

Width = x cm

Length = x - 7

Area = 144 cm²

x(x - 7) = 144

x² - 7x = 144

x² - 7x - 144 = 0

(x - 16)(x + 9) = 0

x = 16 or x = -9 (rejected)

Width = 16 cm

Length = 16 - 7 = 9 cm

The width is determined to be 16 cm, and the length is 9 cm.

The student is asking for the dimensions of a rectangle given an area of 144 square centimeters and a length that is 7 centimeters less than its width. To find the dimensions, we can let the width be represented by w and the length by w - 7 (since the length is 7 centimeters less than the width). The area of a rectangle is calculated by multiplying the length by the width, which in this equation would be w(w - 7). We can set this equal to the given area of 144 square centimeters and solve for w.

Setting up the equation: w(w - 7) = 144. This simplifies to w^2 - 7w - 144 = 0.

To solve for w, we need to factor the quadratic equation, which results in (w - 16)(w + 9) = 0. The width can be 16 cm because it must be a positive value. Subsequently, the length is 16 - 7 = 9 cm.

Therefore, the dimensions of the rectangle are 16 cm in width and 9 cm in length.