Which value of n would make 3√n=8

Answer:

3(12 + 7)

Step-by-step explanation:

To find the GCF of 36 and 21, list out their factors.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

21: 1, 3, 7, 21

The greatest factor which both numbers share is 3.

Therefore, you can factor 36 + 21 as 3(12 + 7)

ANSWER - 74

First we must write out our equation

6.50H + .45c= 85.

H represents hours and c represents caps that are embroidered. We know that H(hours,) equals 8 so we can rewrite our equation to look like this.

(6.50 x 8) + (.45 x c) = 85.     6.50 x 8 is 52. Lets subtract 52 from 85. That is 33 dollars. This means 33 dollars must be made from embroidery caps.

Next we will divide 45 cents into 33 dollars until we get our smallest unit. This will tell us how many caps Lindsay embroiders during their eight hour shift.   33 divided by .45 is 73.333_. The three will continue forever, but since you can not make .333 percent of a hat, you have to make a whole to round up to the nearest dollars. Bringing us to our final Answer.

Lindsay will need to make 74 hats during their shift, if the want to make 85 dollars.

HOPE THIS HELPS & GOOD LUCK.

Answer:

74

Step-by-step explanation:

Lindsay wants $85

Lindsay works for 8 hours

$6.50/hour

$0.45/cap

If Lindsay worked for 8-hours (no caps were embroided):

$6.50 x 8 = $52.00

Lindsay wants $85, so she needs:

$85 - $52 = $33 more

Each cap she makes is $0.45, so she needs to make:

$33 ÷ $0.45 = 73.3333 --> 74 caps since 73 is under $33

Therefore Lindsay needs to make 74 caps

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

General equation:

($6.50 x hrs) + ($0.45 x cap) = total $$

cap = [total $ - ($6.50 x hrs)] ÷ $0.45

Answer: \(\sqrt[3]{a}\)

Step-by-step explanation:

Just as the square root is \(\sqrt[2]{a}\), the cube root is \(\sqrt[3]{a}\)

Hope it helps <3

Answer:

\(\sqrt[3]{a}\)

Step-by-step explanation:

a cube root of a number x is a number a such that a³ = x.

Answer:

Step-by-step explanation:

a² + b² = c²

a² + 9² = 12²

a² + 81 = 144

      a² = 63

       a = √63

pythagorean theorem:

\(a ^{2} + {b}^{2} = {c}^{2} \)

there are 2 sides and a hypotenuse, a and b represent the sides and c is the hypotenuse, the hypotenuse is always the longest side to put it simply, now all you have to do is substitute, side a is missing, so we are solving for that missing side, side b is 9, and side c, the hypotenuse, is 12

\( {a}^{2} + {9}^{2} = {12}^{2} \)

now simplify,

\( {a}^{2} + (9 \times 9) = (12 \times 12)\)

\( {a}^{2} + 81 = 144\)

now since we are solving for the a side, we must isolate a

\( {a}^{2} + 81 = 144 \\ - 81 \: \: \: \: \: \: \: \: - 81\)

the 81's cancel out so it's just 144-81 which is 63

\( {a}^{2} = 63\)

a still must be isolated, so we have to take the square root of both sides, that in turn cancels out the square on the a

\( \sqrt{a}^{2} = \sqrt{63} \)

\(a = \sqrt{63} \)

the equation can no longer be simplified so the answer is

\( a = \sqrt{63} \)

Answer:

The area of this figure is 31,29.

Step-by-step explanation:

We have to find also the area of the rectangle, then we will find the area of the circle and divide by 2 because here is a half circle.

area of the rectangle = b x h

area of the rectangle = 6 x 6

area of the rectangle = 36

diameter = 6

r = d : 2

r = 6 : 2

r = 3 ft

area of the circle = π x r²

area of the circle = 3,14 x 3 ft

area of the circle = 9,42 ft

area of half of circle = 9,42 : 2 = 4,71 ft

area of this figure = area of rectangle - area of half of the circle

area of this figure = 36 - 4,71

area of this figure = 31,29

So the area of this figure is 31,29.

I hope this is helpful. :)

Answer:

31.4

Step-by-step explanation: multiply 10 and 3.14 as the measurements

Answer:

134 children and 120 adult plates were served

Step-by-step explanation:

let the children mean be x

Let the adult meal be y

If fourteen less children’s meals were served than adult meals at a barbecue, then;

y = x - 14 .... 1

IF Children plate were 1.50 each and adult plates were 2.00 each with a total of 441 in amount then;

1.5x + 2y = 441 .... 2

Substitute 1 into 2;

1.5x + 2(x-14) = 441

1.5x+2x-28 = 441

3.5x = 441+28

3.5x = 469

x = 469/3.5

x = 134

Recall that y = x - 14

y = 134-14

y = 120

Hence 134 children and 120 adult plates were served

Based on the information provided, it can be concluded that Shop B charges $1.08 more than shop A.

To calculate this, the formula that can be used is total cost/number of hours. Based on this, let's calculate the rate for each shop:

Shop A: 25/9 =  2.77 (rate per hour in shop A)

Shop B: 27/7 = 3.85 (rate per hour in shop B)

To know the differences, let's use subtraction:

3.85 - 2.77 =  1.08

Based on this, shop B charges $1.08 more than shop A.

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Answer:

A

Step-by-step explanation:

x>1

below is the graph.

any questions in the comments:

Answer:

y=4/3x-3

Step-by-step explanation:

By using rise/run, you can see the slope in the equation, as it goes 4 units up and 3 units to the right.

For the y-intercept, you can see that the line intercepts (0,-3), which makes it the y-intercept.

Answer: y=-3+4/3x

Step-by-step explanation:

You get -3 because that is the point on the y axis

You get 4/3x from rise every additional point after
                               -------

                               run

Answer:

B: k = 12.1

C: k = 13.0

D: k = 19.9 ARE THE CORRECT ANSWERS

Step-by-step explanation:

Answer:B: k = 12.1

Step-by-step explanation:

Answer:

- 0.347
2.153

Step-by-step explanation:

Answer:

- 0.347 and 2.153

Hope this helps :)

Explanation below.

Step-by-step explanation:

The lines on top of the decimals tell that the decimal is repeating, and both - 0.347 and 2.153 have lines so they are repeating decimals.

The length of ZY is 3638.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

We can find,

Tan 65 = ZY/WY

Tan 65 x WY = ZY _____(1)

Tan 58 = ZY/XY

Tan 58 x XY = ZY _____(2)

Now,

XW = 850

XY = XW + WY

XY = 850 + WY _____(3)

From (1), (2), and (3),

Tan 65 x WY = Tan 58 x XY

Tan 65 x WY = Tan 58 x (850 + WY)

2.14 x WY = 1.60 x (850 + WY)

2.14WY = 1360 + 1.60WY

2.4 WY - 1.60WY = 1360

0.8WY = 1360

WY = 1360/0.8

WY = 1700

Now,

Tan 65 = ZY/WY

2.14 = ZY/1700

ZY = 2.14 x 1700

ZY = 3638

Thus,

The length of ZY is 3638.

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The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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One Answer: Choice C) 0 < x < 1

==================================================

Explanation:

Let's go through the answer choices one at a time.

The correct option is C

A function whose value decreases as the independent variable increases over a given range is called a decreasing function.

Considering the options :

A) it represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.

B) It is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.

In contrast, C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.

Hence, the correct option is 0 < x < 1

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The length of the apothem of the pentagon is 12.96 meters .

What is apothem ?
In geometry, the apothem of a polygon is the distance from the center of the polygon to the midpoint of one of its sides. For a regular polygon (a polygon with all sides and angles equal), the apothem is the perpendicular distance from the center of the polygon to one of its sides.

Explanation:
The formula for the area of a regular pentagon is:

A = (1/2)P × a

where A is the area, P is the perimeter, and a is the apothem.

To solve for the apothem, we need to rearrange the formula and solve for a:

a = (2A) / P

The perimeter of a regular pentagon is given by:

P = 5s

where s is the length of each side.

Substituting the given values, we get:

P = 5s = 5(9.7) = 48.5

A = 315.25

a = (2A) / P = (2 × 315.25) / 48.5 = 12.96

Therefore, the length of the apothem of the pentagon is 12.96 meters (rounded to two decimal places).

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Answer:

Step-by-step explanation:

its 13

The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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The likelihood that a random cumulative variable will fall within a specific range of values rather than taking on a single value is specified by the Probability Density Function.

The probability density function (PDF), also known as the density of a continuous random variable, is a function whose value at any specific sample (or point) in the data point (the range of potential values for the random variable) can be understood as having given a relative likelihood that the value of something similar to the random variable would be closer to that sample.

There is no absolute probability that a random variable will take on any specific value because there are an unlimited number of alternative values to begin with. However, the PDF value at two samples can be used to estimate how much more likely it is for the random variable to have that particular value in any given draw.

The Cantor distribution, which although having no discrete component, does not assign positive probabilities to any specific locations, and discrete random variable probability distributions do not all have a density function.

A distribution has a density function if and only if the cumulative distribution function F(x) is fully continuous. In this case, F is typically always differentiable, and its derivative can be used to symbolize the probability density.

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Answer:

8

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

44 x 10 = 440

30% x 0.1 = 3

Therefore 30% of 44 is equal to 3% of 440

Answer: 42

Step by step:

42 is divisible by both 7 and 2

Answer:

44

Step-by-step explanation:

4 x 11 = 44

2 x 22 = 44

The equation that represents circle that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36.

A circle is a closed curve that extends outward from a set point known as the center, with each point on the curve being equally spaced from the center. A circle with a (h, k) centre and a radius of r has the equation.

The standard form of a circle is expressed as:

(x-a)^2 + (y-b)^2 = b=r^2

where;

(a, b) is the coordinates of the center of the circle.

r is the radius of the circle

Given that,

diameter = 12 units

radius = 12/2 = 6 units

If the center lies on the y-axis, the center will be at (0, y)

The radius is 6, the center lies at y = 3.

Substituting into the formula:

(x-0)^2 + (y-3)^2 = 6^2

x²+ (y-3)² = 36

Hence, the equation that represent circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36.

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Answer:

9 and -9

Step-by-step explanation:

x^2:

all you have to do is (-3)^2 = -3 * -3 = 9

-x^2:

this would be -(-3)^2

the order of operations says to do exponents first, so you would have:

-(9) or -9

The percent change in Pilar's shell collection from the beginning of the day to the end is,  22.5%

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Pilar has 40 shells in her collection.

She collects 6 more shells in the morning and 3 more shells in the afternoon.

The percent change in Pilar's shell collection from the beginning of the day to the end = ?

At the beginning of the day, Pilar has 40 shells.

In the morning, she collects 6 more shells, bringing her total to

= 40 + 6

= 46 shells.

Then, in the afternoon, she collects 3 more shells, bringing her total to

=46 + 3

= 49 shells.

To find the percent change in Pilar's shell collection from the beginning of the day to the end, we can use the formula:

percent change = (final value - initial value) / initial value * 100%

Plugging in the values we have:

percent change = (49 - 40) / 40 x 100%

percent change = 9 / 40 x 100%

percent change = 22.5%

Therefore, there is a 22.5% increase in Pilar's shell collection from the beginning of the day to the end.

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Answer:

I think each plate will get 1/2 of a brownie \

Step-by-step explanation: