Evaluate 3^4. A) 12 B) 7 C) 64 D) 81

Answer:

1.29 take the cost and divided by each water bottle and that’ll give you how much each water bottle cost in a pack

Step-by-step explanation:

Answer:

Well mixed number is something with a whole.

Remeber a decimal goes by the place value of tenths right away.

Now if you follow along 1.43 is basically saying 1 and 43 hundreths  

Becuase normal place value go

tenths

Hundreths

thousandths

ten thousandths

hundred thousandths

millionth

etc.

and that Saying 1 43/100

So your mixed number is 1 43/100

Your improper would jsut be

Multiplying the denominator with the whole number

Then add that product to the numerator, keep the denominator the same

so 143/100

*see attachment for the figure referred to

Answer/Step-by-step explanation:

1. PN = 29

MN = 13

PM = ?

\( PN = PM + MN \) (Segment addition postulate)

\( PN - MN = PM \) (subtract MN from each side)

\( 29 - 13 = PM \) (substitute)

\( 16 = PM \)

\( PM = 16 cm \)

2. PN = 34, MN = 19, PM = ?

\( PN = PM + MN \) (sediment addition postulate)

\( PN - MN = PM \) (subtract MN from each side)

\( 34 - 19 = PM \) (substitute)

\( 15 = PM \)

\( PM = 15 cm \)

3. PM = 19, MN = 23, PN = ?

\( PN = PM + MN \) (Segment addition postulate)

\( PN = 19 + 23 \) (substitute)

\( PN = 42 cm \)

4. MN = 82, PN = 105, PM = ?

\( PN = PM + MN \) (segment addition postulate)

\( PN - MN = PM \) (subtract MN from each side)

\( 105 - 82 = PM \) (substitute)

\( 23 = PM \)

\( PM = 23 cm \)

5. PM = 100, MN = 100, PN = ?

\( PN = PM + MN \) (Segment addition postulate)

\( PN = 100 + 100 \) (substitute)

\( PN = 200 cm \)

Answer:

28800

Step-by-step explanation:

first find Gerard's salary and then divide it by 1.25

Answer:

28800

Step-by-step explanation:

Let M be Martin and G be Gerard

Let 12:7 be 12x:7x

21000 = 7x

x = 3000

12x = 3000*12 = G after pay rise

12x = 36000 = G after pay rise

36000 = 125% G before pay rise

1.25G = 36000

G = 28800

Hope this helps ;)

Answer: Chronological text structure

The reason my answer is correct is because it is in order. It goes from one specific time and place to the next. It is not sequence because this order is happening at specific times while sequence doesn't have specific times and places.

-zomba

Answer:

Option (3)

Step-by-step explanation:

Properties of the equal matrices,

1). Every element of the one matrix are equal to the elements of other.

2). Both the matrices have same dimensions.

If,  \(\begin{bmatrix}x+3 & y+4\\ 7 & -5\end{bmatrix}=\begin{bmatrix}5 & 0\\ 7 & z\end{bmatrix}\)

\(x+3=5\)

\(x=2\)

\(y+4=0\)

\(y=-4\)

\(x=-5\)

Therefore, Option (3) will be the correct option.

Answer:

carbon take x(1)+4(-2)=0

x(1)-8=0

x(1)=8

x=8

Answer:

$12.5 dollars

Step-by-step explanation:

cc

Answer:

24:
6 of 4
or

8 of 3

Step-by-step explanation:

6x4=24
8x3=24

The equation that represents the employee’s salary, S, after t years since the employee began working with the company is S(t) = 35400 * (1.08)^t

From the question, we have the following parameters that can be used in our computation:

Initial salary = 35400

Raise = 8%

Number of years = t

The equation that represents the employee’s salary is calculated as

Salary = Initial salary * (1 + raise)^Number of years

Substitute the known values in the above equation, so, we have the following representation

Salary = 35400 * (1 + 8%)^t

So, we have

S(t) = 35400 * (1.08)^t

Hence, the equation is S(t) = 35400 * (1.08)^t

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To solve for the volume of a rectangular prism, we could use the following formula:

\(V=l*w*h\)

Although we typically use this formula to solve for the volume, we could also use it to determine any of the variables above. All we have to do is rearrange the equation to isolate what we need to find.

We're given:

First, rearrange the volume formula to isolate width (w):

\(V=l*w*h\)

⇒ Divide both sides by \(l*h\):

\(\dfrac{V}{l*h}=\dfrac{l*w*h}{l*h}\\\\\dfrac{V}{l*h}=w\\\\w=\dfrac{V}{l*h}\)

⇒ Plug in the given values for V, l and h:

\(w=\dfrac{1144}{8*13}\\\\w=11\)

Therefore, the box is 11 ft wide.

The box is 11 ft wide.

Answer:

(A) 11 ft.

Step-by-step explanation:

got it right

Answer:

II and III

Step-by-step explanation:

Answer:

w = -1

Step-by-step explanation:

Given equation:

\(4w + 2 + 0.6w=-3.4w-6\)

Add 3.4w to both sides:

\(\implies 4w + 2 + 0.6w+3.4w=-3.4w-6+3.4w\)

\(\implies 4w + 2 + 0.6w+3.4w=-6\)

Subtract 2 from both sides:

\(\implies 4w + 2 + 0.6w+3.4w-2=-6-2\)

\(\implies 4w +0.6w+3.4w=-6-2\)

Combine the terms in w on the left side of the equation and subtract the numbers on the right side of the equation:

\(\implies 8w=-8\)

Divide both sides by 8:

\(\implies \dfrac{8w}{8}=\dfrac{-8}{8}\)

\(\implies w=-1\)

Therefore, the solution to the given equation is:

\(\boxed{w=-1}\)

Given that,

→ 4w + 2 + 0.6w = -3.4w - 6

Now the value of w will be,

→ 4w + 2 + 0.6w = -3.4w - 6

→ 4.6w + 2 = -3.4w - 6

→ 4.6w + 3.4w = -6 - 2

→ 8w = -8

→ w = -8/8

→ [ w = -1 ]

Hence, the value of w is -1.

Answer:

15 °C

Step-by-step explanation:

°C = (°F - 32) * (5/9)

Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.

Initial temperature: 77 °F

Converting to Celsius:

°C = (77 - 32) * (5/9)

°C ≈ 25

The temperature dropped by 10 °C, so the final temperature is:

Final temperature = Initial temperature - Temperature drop

Final temperature ≈ 25 - 10 = 15 °C

Therefore, the temperature after the storm was approximately 15 °C.

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

 where

a

=

7

and

b

=

3

x

.

(

7

+

3

x

)

(

7

−

3

x

)

Answer: -(3x - 7)(3x + 7)

Step-by-step explanation:

1. Rewrite the formula:

-\(9x^{2} + 49\)

2. Factor -1 out of \(-9x^{2} + 49\)

\(-(9x^{2} - 49)\)

3. \(9x^{2} - 49 = (3x)^{2} - 7^{2}\)

\(((3x)^{2} - 7^{2})\)

4. Factor the difference of two squares. \((3x)^{2} - 7^{2} =\)

\((3x-7)(3x+7)\)

5. Add back negative:

Answer: \(-(3x-7)(3x+7)\)

Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula \(y = kx\)

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

4.167(10²)

Step-by-step explanation:

Step 1: Put number into proper decimal form

416.7 = 4.167

Step 2: Figure out exponent

Since we are moving the decimal places 2 places to the right, our exponent is 2

Answer:

4.167 × 10^2

Step-by-step explanation:

= 4.167 × 10^2

(scientific notation)

= 4.167e2

(scientific e notation)

= 416.7 × 10^0

(engineering notation)

(one)

= 416.7

(real number)

The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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The population of the state is 23.1 million

The population of the state will reach 28.3 million in 13.5 years

What is population ?

Any whole group that shares at least one trait is referred to be a population. People do not make up all populations. Populations can include, but are not limited to, individuals, animals, organizations, structures, buildings, cars, farms, objects, or occasions.

The population state is:

A = 23.1*e^(0.0153*t)

In millions.

Where t represents the number of years after 2000.

a) For the population at the year 2000, we need to evaluate the function at t = 0 (2000 is 0 years after 2000).

A(0) = 23.1*e^(0.0153*0) = 23.1

The population at year 2000 was 23.1 millions.

b) Now we want to solve:

A(t) = 28.3 = 23.1*e^(0.0153*t)

        28.3/23.1 = e^(0.0153*t)

        1.23 = e^(0.0153*t)

Now we can apply the natural logarithm to both sides:

ln(1.23) = ln( e^(0.0153*t) )

ln(1.23) = 0.0153*t

ln(1.23)/0.0153 = t = 13.5

So 13.5 years after 2000 the population will be 28.3 million.

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Answer:

I came up with \(5y^2|x^3|\)

Step-by-step explanation:

We need 1/6 cup of butter to be used to make 1/4 batch of cookies.

Word problems in mathematics are real-life cases that involve a critical understanding of the problem and the use of arithmetic operations(e.g addition, subtraction, division, and multiplication) when solving them.

From the parameters given:

The required cup of butter to be used can be estimated as follows:

Let x be the unknown cup of butter, by cross multiplying;

\(\mathbf{x = \dfrac{\dfrac{2}{3}\times \dfrac{1}{4}}{1} }\)

x = 1/6 cup of butter.

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Answer:

option 1

Step-by-step explanation:

(-2) (25/7)

-50/7 = -7 1/7

Answer:

Option A is correct.

Step-by-step explanation:

(-2) (3 4/7)​

=> (-2) x (3 4/7)​

=> -2 x 25/7

=> -50/7

=> -7 1/7

Therefore, Option A is correct.

Answer:4.5

Step-by-step explanation:

Answer:

Absolute value means any value but always positive. So |-4.5|=4.5

The measure of angle QRS in triangle QRS is found as 56.8 degrees.

An angle is  formed when two straight lines or rays meet at a common endpoint.

We know  that the sum of the angles in a triangle is  180 degrees.

In triangle QRS,  

angle RSQ = 48.2 degrees

angle SQR = 75 degrees.

48.2 + 75 + QRS  = 180 (sum of angles in a triangle)

123.2 + QRS  = 180

QRS  = 180 - 123.2

QRS  = 56.8

In conclusion, a triangle is described as a polygon with three edges and three vertices.

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Answer:

Chicken feed

Step-by-step explanation:

Chicken feed: .70

Goat feed: .80

Dog feed: .75

Pig feed: .79

Answer:

Goat Feed

Step-by-step explanation:

Chicken- 1.40

Goat- 1.25

Dog- 1.33

Pig- 1.265823