what is the answer to 7(n+4)=21

The length of the third side rounded to the nearest tenth is 16.5 units.

In Mathematics and Geometry, Pythagorean's theorem is modeled by the following mathematical expression:

x² + y² = z²

Where:

x, y, and z represents the length of sides of any right-angled triangle.

In order to determine the length of the third side in this right-angled triangle, we would have to apply Pythagorean's theorem as follows;

x² + y² = z²

13² + y² = 21²

169 + y² = 441

y² = 441 - 169

y² = 272

y = √272

y = 16.49 ≈ 16.5 units.

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Answer:

Step-by-step explanation

Answer:

She can bake 8 dozen cookies in 112 minutes.

Step-by-step explanation:

70/5 =14

112/14= 8

Exact length of polar curve is √10/3[\(e^{6\pi }\)−1]

Given,

r = e3θ, 0 ≤ θ ≤ 2π

Now,

exact length of the polar curve,

The length of the polar curve :

∫√(r²+(drdθ)²)dθ

Here,

dr/dθ  = 3e3θ

Substitute the values in the formula,

∫√((e3θ)²+(3e3θ)²)dθ

∫√((e3θ)2+9(e3θ)2)dθ

Further,

=√10∫e3θdθ

= √10/3[\(e^{6\pi }\)−\(e^{0}\)]

∴\(e^{0} = 1\)

= √10/3[\(e^{6\pi }\)−1]

Thus the exact length of the polar curve is √10/3[\(e^{6\pi }\)−1] .

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Hey there!☺

\(Answer:\boxed{12}\)

\(Explanation:\)

Since 12 is positive, the value would just stay the same and be 12.

The value of 12:

\(12\)

12 is the answer.

Hope this helps!☺

Answer:

Step-by-step explanation:

Let the number of weeks be x

Then Kendal's CD's

Raymond's CD's

Time when they have equal CD's

Answer:

That is wrong... 7 is not the answer

12 is the real answer

Step-by-step explanation:

The correct option is:

c. Action research

What type of research is conducted by professionals in any type of school to investigate a problem, with findings that may have limited generalizability?

The type of research conducted by professionals in any type of school to investigate a problem, with findings that may have limited generalizability, is known as action research.

c. Action research.

Action research is a type of research that is intended to be carried out by professionals in any type of school setting to investigate a specific problem or issue. The focus of action research is on practical solutions and making improvements within a particular context.

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Answer:

f(x) = −6(x+ 1)(x +5)

Step-by-step explanation:

x-intercepts at (−1, 0) and (−5, 0)

so the roots are -1 and -5 (where the graph intersects the x-axis)

this will give us that f(x) = (x- root1)(x-root2) = (x- -1)(x- -5) = (x+1)(x+5)

y-intercept at (0, −30) is telling us that when x= 0 the y = -30

y = a ( x+1)(x+5) , in general

y = a(0+1)(0+5), is the equation if x=0

-30 = a·1·5, we need y= -30 when x= 0

-30 = 5a , divide both sides of the equation by 5

-6 = a

The correct choice is :

f(x) = −6(x+ 1)(x +5)

f(x) = −6(x − 1)(x − 5)

f(x) = −5(x +1)(x +5)

f(x) = −5(x − 1)(x − 5).

Answer:

1. superscript number

2. exponential growth

3. exponential decay

Step-by-step explanation:

In an exponential expression, the exponent (superscript) number indicates how many times the factor (i.e., the base number) is repeated. For example, the expression 2ⁿ indicates that the base number (2) is repeated n times.

The exponential growth indicates how a specific quantity increases over time, thereby the curve drawing an exponential function. The exponential growth is produced when the rate of increase of a quantity in a given time is directly proportional to the quantity itself.

The exponential decay describes how a specific quantity proportionally decreases across time, thereby showing a percentage decrease rate over time.

Answer:

1. superscript number

2. exponential growth

3. exponential decay

Step-by-step explanation:

The simplest form of fraction of the given terms is 43/40.

According to the statement

we have to find that the simplest form of the fraction by evaluating.

So, For this purpose, we know that the

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

The given expression is

7/8+ 1/5

Now, to solve it take a LCM of it then

35+8/40

Now solve the term then the equation become

43/40.

Now, The simple form of the fraction become the 43/40.

So, The simplest form of fraction of the given terms is 43/40.

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Answer: -m*(x-3y)*(3x-y)

(*=multiply btw)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (m • ((x + y)2)) -  4m • (x - y)2

STEP2:

Equation at the end of step 2

 m • (x + y)2 -  4m • (x - y)2

STEP3:

3.1     Evaluate :  (x+y)2   =    x2+2xy+y2

3.2     Evaluate :  (x-y)2   =    x2-2xy+y2

STEP4:

Pulling out like terms

4.1     Pull out like factors :

  -3mx2 + 10mxy - 3my2  =   -m • (3x2 - 10xy + 3y2)

Trying to factor a multi variable polynomial :

4.2    Factoring    3x2 - 10xy + 3y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (x - 3y)•(3x - y)

Answer:

xy^6z

Step-by-step explanation:

Step-by-step explanation:

In Fraction

= 3 2/8 + 2 3/4

= (3 + 2) + (1/4 + 3/4)

= 5 + 4/4

= 5 + 1

= 6

In Decimals

= 3 2/8 + 2 3/4

= 3,25 + 2,75

= (3 + 2) + (0,25 + 0,75)

= 5 + 1,00

= 5 + 1

= 6

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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The plans are illustrations of system of linear equations

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Let A represent plan A, and B represents plan B

On Monday, we have:

4A + 8B = 9

On Tuesday, we have:

2A + 3B = 4

Multiply the second equation by 2

2 * (2A + 3B = 4)

4A + 6B = 8

Subtract this equation from the first equation.

So, we have:

4A - 4A + 8B - 6B = 9 - 8

3B = 1

Divide both sides by 3

\(\mathbf{B = \frac 13}\)

Substitute 1/3 for B in 2A + 3B = 4

\(\mathbf{2A + 3 \times \frac 13 = 4}\)

2A + 1 = 4

Subtract 1 from both sides

2A = 3

Divide both sides by 2

\(\mathbf{A = 1\frac 12}\)

This means that:

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

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The measure of a central angle is equal to the measure of the intersected arc.

Then, arc CD is equal to 55º

Arc EDC is equal to the sum of ars CD and DE:

Answer: square root A = n

Step-by-step explanation:

n2 = a

square root from both sides gives you n and root a

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

The steps which can help in minimizing the variance in the four cards are correct selection of the suit with maximum number of cards.

If you have four cards and were to bet based upon suits while flipping them one at a time while trying to minimize variance, you should follow the below steps:

First, you need to check the suits of the four cards you have.

Now, you need to select the suit that has a maximum number of cards. For instance, if the four cards are 5 of hearts, 7 of spades, 2 of diamonds, and 10 of hearts, you need to select hearts as it has two cards.

After selecting the suit with the maximum number of cards, you need to start flipping the cards one at a time.

Keep a count of the number of times you get the chosen suit. For instance, if you chose hearts, you will count the number of times you get hearts after flipping each card.

Once you get the chosen suit, you can place your bet. The amount of your bet can depend on the number of times you have gotten the chosen suit so far.

So, this process doesn't guarantee that you will win every time.

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The surface area and the volume of each solid are listed below:

Case 23

A = 216 + 153√3 cm² = 481 cm², V = 324√3 cm³ = 561.18 cm³

Case 13

A = 575π m² = 1806.42 m², V = 4000π / 3 m³ = 4188.79  m³

In this problem we must determine the surface area and the volume of each of the two solids, the following area and volume formulas are listed below:

Triangles

A = 0.5 · w · h

Rectangle

A = w · h

Circle

A = π · r²

Surface of a hemisphere

A = 2π · r²

Surface of the inclined section of a cone

A = π · r · l

Lateral surface of a cylinder

A = 2π · r · l

Volume of a prism

V = A' · l

Volume of a hemisphere

V = (2π / 3) · r³

Volume of a pyramid

V = (1 / 3) · A' · l

Where:

Now we proceed to determine the surface area and the volume of each solid:

Case 23

Surface area

A = (9 cm) · (8 cm) + (9√3 cm) · (8 cm) + (18 cm) · (8 cm) + (9 cm) · (9√3 cm)

A = 72 cm² + 72√3 cm² + 144 cm² + 81√3 cm²

A = 216 + 153√3 cm²

A = 481 cm²

V = 0.5 · (9 cm) · (9√3 cm) · (8 cm)

V = 324√3 cm³

V = 561.18 cm³

Case 13

Surface area

A = 2π · (5 m)² + 2π · (5 m) · (45 m) + π · (5 m) · (15 m)

A = 575π m²

A = 1806.42 m²

Volume

V = (2π / 3) · (5 m)³ + π · (5 m)² · (45 m) + (π / 3) · (5 m)² · (15 m)

V = 4000π / 3 m³

V = 4188.79  m³

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Answer: 3

Step-by-step explanation:

We can solve this problem by recognizing that z is the geometric mean of 9 and 9+4. This property is outlined in the following formula:

\(\frac{hypotenuse}{leg}=\frac{leg}{part}\)

where hypotenuse is the longest side of the triangle, leg is the side of the triangle we are calculating for, and part is the part of the hypotenuse on the side of the leg.

Here, the hypotenuse is 13, or 4 + 9. The leg is z, as it is the side of the triangle we are trying to find. Finally, the part is 9. It is the part of the hypotenuse that is on the side of the leg.

Let's plug in these values:

\(\frac{13}{z}=\frac{z}{9}\\117=z^2\\z=\sqrt{117}\)

117 is the product of 9 and 13. Since 9 is a perfect square, we can take it out from the square root.

\(z=\sqrt{9*13}\\z=\sqrt{9}*\sqrt{13}\\z=3\sqrt{13}\)

The "?" must be a 3.

The table provided requires the completion of statistics related to density and volume calculations for five objects.

Density Calculation:

To calculate density, we need to divide the mass of an object by its volume. The formula for density is:

\(\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]\)

In this case, the table requires the density statistics for five objects. To obtain these statistics, you need to determine the density of each object using the given data and formulas.

The density values for the objects will then be used to calculate statistics such as average density, standard deviation, and coefficient of variation.

Volume Calculation:

To calculate the volume of an object, we typically use the formula that corresponds to the shape of the object. Different objects may require different formulas for volume calculation. In the given table, you are required to calculate the volume delivered in each trial.

To obtain the volume statistics for the five objects, you need to calculate the volume of each object using the given data and appropriate volume formulas. The volume values for the objects will then be used to calculate statistics such as average volume, standard deviation, and coefficient of variation.

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Answer:

answer is a

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

Angles in a triangle add up to equal 180

Hence, 9x - 8 + x + 10 + x + 2 = 180

                              ^ ( note that we just created an equation that we can use

                                   to solve for x )

We now solve for x using the equation created.

9x - 8 + x + 10 + x + 2 = 180  

step 1 combine like terms

9x + x + x = 11x

-8 + 10 + 2 = 4

we now have 11x + 4 = 180

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 11x = 176

step 3 divide each side by 11

176 / 11= 16

11x / 11 = x

we're left with x = 16

Answer:

0.15 cents

Step-by-step explanation:

1.80 (price) divided by 12 (amount) = 0.15 cents per pencil

n/16 lies between 4/16 and 8/16

So, n can be 5,6,7

Answer:

5, 6 , 7

Step-by-step explanation:

Change 1/4 and 1/2 to the values they would be if their denominator was 16

1/4 will become 4/16

1/2 will become 8/16

the values between these are 5/16, 6/16, 7/16

n can be 5, 6 or 7

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Solution:

Given:

Using the formula;

The z-score for 80% confidence interval is given by 1.28

Hence,

Hence, the point estimate with its margin of error to one decimal place is;