3(-n+4)+5n=2n
a. n=3
b. no solution
c. infinitely many solutions

Answer:

x=-5

Step-by-step explanation:

I used my ti-84 plus ce calculator to calculate this

>math

>numerical solver

>type equation

>enter

>you answer appears

Answer:

[tex]f(g(-6))=2\sqrt{10}[/tex]

Step-by-step explanation:

first we need to find g(-6)

[tex]g(x)= x^2\\\\g(-6)=(-6)^2\\\\g(-6)=36[/tex]

so g(-6)=36

so we need to find f(36)

[tex]f(x)=\sqrt{x+4} \\\\f(36)=\sqrt{36+4} \\\\f(36)=\sqrt{40}\\\\f(36)=\sqrt{4}* \sqrt{10} \\\\f(36)=2\sqrt{10}[/tex]

so that's answer

[tex]f(g(-6))=2\sqrt{10}[/tex]

Answer:

The answer is 64.

16-12=4.

4×16×1=64.

Answer:

The answer is 64.

Step-by-step explanation:

16-12=4.

4×16×1=64.

Answer: Answer is  in the steps.

Step-by-step explanation:

One situation is this.

Jason borrowed $5 from his best friend during a field trip and agreed to pay him back the next school day.The next day, he came back to school with $10 and used $5 to pay his friend back.Now answer the this question. How much does Jason owe his best friend now?

The answer to the question will be zero because Jason has already paid his friend all the money he borrowed.

Answer:

They "y" value = (4 * 24) + 4 which equals

100

Step-by-step explanation:

Answer:

1 inches = $0.24

Step-by-step explanation:

9.5 inches =$2.28

$2.28 ÷ 9.5= .24

so the answer is 1 inch = $0.24

The price per inch of plant is $0.24.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Bob sets the price of the plants according to their height in inches.

A plant that is 9.5 inches high costs $2.28 in his store.

To find the price of the plant per inch:

Use division operation;

2.28 / 9.5

= $0.24 per inch.

Therefore, price is $0.24 per inch.

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Answer:

2 cents

Step-by-step explanation:

you would just divide the Flav-O-Squeeze price by 12 since there are 12 pouches and the Turbo Taste price by 20 since there are 20 pouches and then you would get 1 pack of Flav-O-Squeeze is 49 cents and 1 pack of Turbo Taste is 51 cents and if you subtract them Turbo Taste is 2 cents more then Flav-O-Squeeze

The cost of Turbo Taste per pouch is $0.02.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches.

The more cost will be calculated as,

Cost of Turbo Taste = 10.20 / 20 = $0.51

The cost of Flate-O-Squeeze = 5.88 / 12 = $0.49

The more cost of Turbo-Taste = 0.51 - 0.49

The more cost of Turbo-Taste = $0.02

Therefore, the cost of Turbo Taste per pouch is $0.02.

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Answer:

17⋅24+32-13=427

Step-by-step explanation:

17⋅24=408   408+32=440   440-13=427

Answer:

the corresponding point for the function f(x) − 4 is (0,-9)

Step by Step Explanation --

Given that (0, -5) is on the graph of f(x),

WE need to find the corresponding point for the function f(-4x}

f(x) means the output y

f(x)-4 means subtract 4 from the output y

In the given point  (0, 5) , x is 0  and y is -5

To get the corresponding point we subtact 4 from y

that is [-5]- 4 = -9

the corresponding point for the function f(x) − 4 is (-3,1)

Step-by-step explanation:

Answer:

(0,-5)

Step-by-step explanation:

Step-by-step explanation:

You must specify the length or the breadth either in values, variables or ratio. ..

There are infinite answers for this question., so I guess you have missed printing some information in it.. so rewrite the question please

Answer:  see proof below

Step-by-step explanation:

Use the following Half-Angle Identities:    tan (A/2) = (sinA)/(1 + cosA)

                                                                     cot (A/2) = (sinA)/(1 - cosA)

Use the Pythagorean Identity: cos²A + sin²B = 1

Use Unit Circle to evaluate: cos 45° = sin 45° = [tex]\frac{\sqrt2}{2}[/tex]

Proof LHS → RHS

Given:                       [tex]cot\ (22\frac{1}{2})^o-tan\ (22\frac{1}{2})^o[/tex]

Rewrite Fraction:     [tex]cot\ (\frac{45}{2})^o-tan\ (\frac{45}{2})^o[/tex]

Half-Angle Identity:   [tex]\dfrac{sin(45)^o}{1-cos(45)^o}-\dfrac{sin(45)^o}{1+cos(45)^o}[/tex]

Substitute:                  [tex]\dfrac{\frac{\sqrt2}{2}}{1-\frac{\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}[/tex]

Simplify:                      [tex]\dfrac{\frac{\sqrt2}{2}}{\frac{2-\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{\frac{2+\sqrt2}{2}}[/tex]

                               [tex]=\dfrac{\sqrt2}{2-\sqrt2}-\dfrac{\sqrt2}{2+\sqrt2}[/tex]

                               [tex]=\dfrac{\sqrt2}{2-\sqrt2}\bigg(\dfrac{2+\sqrt2}{2+\sqrt2}\bigg)-\dfrac{\sqrt2}{2+\sqrt2}\bigg(\dfrac{2-\sqrt2}{2-\sqrt2}\bigg)[/tex]

                               [tex]=\dfrac{2\sqrt2+2}{4-2}-\dfrac{2\sqrt2-2}{4-2}[/tex]

                               [tex]=\dfrac{4}{2}[/tex]

                               = 2

LHS = RHS:  2 = 2  [tex]\checkmark[/tex]

Answer:

The answer is

Step-by-step explanation:

(2y⁴)³

Using the rules of indices

That's

So for the above expression we have

Simplify

We have the final answer as

Hope this helps you

Answer:

-5 7/8 = -5.875

Step-by-step explanation:

Before swimming to the top, the swimmer was 5.875 ft down

Answer:

-5 7/8 feet

Step-by-step explanation:

The opposite of 5.675 is 5 7/8 feet (I don't know if the explanation is right but the answer is)

Answer:

76

Step-by-step explanation:

multiply 19^4 first to get 76, then minus 3 from that to get 73, and add 3 back to that to get 76.

Answer:

The correct option is;

A Dilate circle A by a scale factor of 3

Step-by-step explanation:

The given parameters are;

The center of circle A is (4, 6)

The radius of circle A = 5

The center of circle B = (1, 0)

The radius of circle B = 15

Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3

Radius of circle A = 5,

Radius of circle B = 15 = 3 × 5

Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.

For a circle to be similar dilate circle A by a scale factor of 3

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given parameters are;

Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3

The radius of circle A = 5,

Radius of circle B = 15 = 3 × 5

Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.

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Answer:  (-4.5, -2.5)

Step-by-step explanation:

Answer:  (-1.5, -0.5)

Step-by-step explanation:

Answer:

D, 160

Step-by-step explanation:

Base: from a rectangle 6×8 a square 4×4 is removed.

Base area: 6×8-4×4=48-16=32 square units.

Volume: base are × height=32×5=160cubic units.

Answer: D, 160

Answer:

6c^4 - 2c^3 + 4

Step-by-step explanation:

Answer: 6[tex]c^{4}[/tex] - 2[tex]c^{3}[/tex] + 4

Step-by-step explanation:

[tex](4c^{4} +1)- (7c^{3} -3)+(2c^{4} + 5c^{3} )[/tex]

[tex]= 4c^{4} +1-7c^{3} +3+2c^{4} +5c^{3}[/tex]

Combine like terms

[tex]= 6c^{4} -2c^{3} + 4[/tex]

Answer:

Step-by-step explanation:

Compare the ratios of the triangles like so:

Bigger to smaller

[tex]\frac{15}{10}=\frac{12}{8}[/tex]

This statement is true. Both fractions simplified are equal to 1.5. Since they have the same ratios, they should be similar.

Answer:

0.5 m³

Step-by-step explanation:

You have a rectangular prism and a cube.  Find the volume of each separately.  After solving, add the two volumes together to find the total volume.

Cube

The side length is 0.5 m.

V = a³

V = (0.5 m)³

V = 0.125 m³

Rectangular Prism

The height is 0.75 m, the width is 0.5 m, the length is 1 m.

V = lwh

V = (0.75 m)(0.5 m)(1 m)

V = 0.375 m³

0.125 m³ + 0.375 m³ = 0.5 m³

Answer:

C. 21

Step-by-step explanation:

We use the Power of Point theorem, which states that for points A, B, C, D, and E oriented in the way shown in the attachment:

BC * AC = DC * EC

Here:

AC = AB + BC = (2x + 5) + 9 = 2x + 14

BC = 9

DC = 10

EC = KC = (1 + 2x) + 10 = 2x + 11

So plug all these in:

BC * AC = DC * EC

9 * (2x + 14) = 10 * (2x + 11)

18x + 126 = 20x + 110

2x = 126 - 110 = 16

x = 8

Put this back into the expression for AB:

AB = 2x + 5 = 2 * 8 + 5 = 16 + 5 = 21

The answer is thus C.

~ an aesthetics lover

Answer:

A quadratic (equation or expression) involves the second and no higher power of an unknown quantity or variable.

Step-by-step explanation:

The quadratic formula is derived from the General form of a quadratic equation :

ax+bx+c=0

using completing the square method.

Quadratic formula=

[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Complete Question

Paj is filling a 9-cubic-inch flower pot with soil from small bags. Each bag of soil contains 2 2/3  cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?

Answer:

[tex]Number\ of\ Bags = 3\frac{3}{8}[/tex]

Step-by-step explanation:

Given

[tex]Flower\ Pot = 9 in^3[/tex]

[tex]Small\ Bag = 2\frac{2}{3} in^3[/tex]

Required

How many bag of soil can fill the flower pot

To solve this,we simply divide the volume of flower pots by the small bags. This is done as follows;

[tex]Number\ of\ Bags = \frac{Flower\ Pot}{Small\ Bag}[/tex]

[tex]Number\ of\ Bags = \frac{9 in^3}{2\frac{2}{3} in^3}[/tex]

Convert fraction

[tex]Number\ of\ Bags= \frac{9 in^3}{\frac{8}{3} in^3}[/tex]

[tex]Number\ of\ Bags = 9 in^3/\frac{8}{3} in^3[/tex]

[tex]Number\ of\ Bags = 9 * \frac{3}{8}[/tex]

[tex]Number\ of\ Bags = \frac{9 * 3}{8}[/tex]

[tex]Number\ of\ Bags = \frac{27}{8}[/tex]

[tex]Number\ of\ Bags = 3\frac{3}{8}[/tex]

Hence, the number of bags needed is  [tex]3\frac{3}{8}[/tex]

Answer:

[tex] - 2m - 5m = 9m - 12 \\ ⟶ - 2m - 5m - 9m = - 12 \\ ⟶ - 16m = - 12 \\ ⟶ - m = \frac{ - 12}{16} \\ ⟶ - m = \frac{ - 6}{8} \\ ⟶ m = - ( - \frac{6}{8} ) \\ ⟶m = \frac{6}{8} [/tex]

[tex]m=0.75[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 0.75}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 2m - 5m = 9m - 12}[/tex]

Collect like terms

⇒[tex] \sf{ - 7m = 9m - 12}[/tex]

Move 9m to left hand side and change it's sign

⇒[tex] \sf{ - 7m - 9m = - 12}[/tex]

Collect like terms

⇒[tex] \sf{ - 16m = - 12}[/tex]

Divide both sides of the equation by -16

⇒[tex] \sf{ \frac{ - 16m}{ - 16} = \frac{ - 12}{ - 16} }[/tex]

Calculate

⇒[tex] \sf{ m = 0.75}[/tex]

Hope I helped!

Best regards!!

Answer:

Option C

Step-by-step explanation:

angle B = angle C

angle B + angle C = angle DAC

angle DAC = 2 x angle DAX

angle DAX = 70 deg

=> angle DAC = 2 x 70 = 140 deg

=> angle B = angle C = 70 deg

Answer:

7

Step-by-step explanation:

|-16+9|

Calculate the number inside the absolute value

|-7|

Now take the absolute value

7

Answer:

its 7

Step-by-step explanation:

Answer:

answer is 27/7

Step-by-step explanation:

F(19) means u have to put the value of x as 19

so by putting 19 we get

3/19+2 -root (19-3)

so 3/21 - root 16

or 3/21 -4

or 3- 84/21

or 81/21

ans= 3x27/3x7= 27/7

thank u

Answer:

c

Step-by-step explanation: A P E X

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The correct option is C.

A sample is a statistically significant subset of a larger population. The utilisation of samples enables researchers to conduct investigations with more manageable data and more quickly. Randomly chosen samples exhibit little bias if they are large enough, but obtaining such a sample can be costly and time-consuming.

Given that a population consist of 85,000 people. Now, the number of members of the population that being surveyed could result in a parameter but not a sample static is 8500. This is because a parameter is a value that describes a specific attribute of the population as a whole. A sample survey cannot provide this information. To determine the real value of a parameter, the entire population must be examined.

Hence, the correct option is 85,000.

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Answer:

The probability of you winning is 1/3

No, it is not a fair game

Step-by-step explanation:

The first thing we need to have here is the sample space. This refers to the set of all possible results that can occur from the rolling.

Please check attachment for this

Kindly note that the total number of possible outcomes is 36.

And in the attachment, sums which are divisible by 3 are circled.

The number of circles we can count is 12

Thus, the probability of you winning would be number of circles/total number of outcomes = 12/36 = 1/3

Is it a fair game?

No, it is not

It can only be a fair game if the probability of winning equals probability of losing ( which is 18/36 = 1/2 or 0.5)