A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid.

A solid right pyramid has a square base. The base edge length is 2 centimeters longer than the height of the pyramid. The height of the pyramid is 6 centimeters.

If the height is 6 cm, what is the volume of the pyramid?
24 cm3
48 cm3
128 cm3
144 cm3

The arc length of the circle exists 846.65922 cm.

A unit circle by definition contains a radius of 1 unit.

We have to estimate the length of the arc subtended by an angle of [tex]7\pi/2[/tex] radians.

arc length = radius [tex]*[/tex] angle

s = r[tex]$ * \theta[/tex]

Where s be the arc length

r be the radius of the circle

[tex]\theta[/tex] be the angle measured in radians

arc length = 77cm[tex]$*7\pi/2[/tex]

arc length = 77 [tex]*[/tex] 7(3.14) / 2

arc length = 846.65922 cm

Therefore, the arc length of the circle exists 846.65922 cm.

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The correct option is B.

If the amount spent on snacks per month by all his classmates is , that amount would be $38.

Mean can be defined as the sum of all the observations in a sample, divided by the total number of observations. Mathematically, it is expressed as:

Mean = sum of observations / total number of observations

Amount of money everyone spends buying snacks each month is equal to a mean of $38.

What this means is that the average amount of money spent by everyone is equal to $38.

Therefore,

If the amount spent on snacks per month by all his classmates is leveled, that amount would be $38.

So,

We can conclude by saying, if one classmate paid above $38, and another paid below $38, it will be nullified by leveling the amount paid by all the classmates while calculating the mean.

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I understand that the question you are looking for is:

After conducting a survey of all his classmates, ryan discovers that the amount of money everyone spends buying clothes each month has a mean of $46. what does the mean say about the amount his classmates spend on clothes?

A. Half of his classmates spend exactly $38 per month buying snacks.

B. If the amount spent on snacks per month by all his classmates is leveled, that amount would be $38.

C. The majority of his classmates spend $38 per month buying snacks.

D. Half of his classmates spend more than $38 per month buying snacks

Answer:

70/29 or 2 12/29

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

This question is asking you to solve for the following system of equations, let x be width and y be height of the rectangle.

[tex]\left \{ {{x=y+5} \atop {x*y=24}} \right.[/tex]

Since the former is already equal to x lets set the second equation to x

[tex]x*y=24[/tex]

[tex]x=24/y[/tex]

Now we have the following system of equations:

[tex]\left \{ {{x=y+5} \atop {x=24/y}} \right.[/tex]

Now that the two equations are equal, we can solve for y:

[tex]y+5=24/y[/tex]

Divide both sides by y

[tex]y^2+5y=24[/tex]

Subtract 24 from the right side setting it to 0:

[tex]y^2+5y-24=0[/tex]

Solve for y using quadratic formula:

[tex]y=\frac{-5\pm \sqrt{5^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}[/tex]

[tex]y=3,-8[/tex]

Given the y-values lets plug them into our original equations to find the intersections.

[tex]x=3+5\\x=8[/tex]

Giving intersection vector (8,3)

[tex]x=-8+5\\x=-3[/tex]

Giving intersection vector (-3,-8)

Since both the width and length of the rectangle must be positive lets use the first vector (8,3) as our solution.

The x value being 8 means the width must be 8, y value being 3 the height must be 3, these variable correlate to our original definitions of making the x value equal to the width of the carpet and y value the height of the carpet.

Answer:The width is 3mm

Step-by-step explanation:

Length= 5mm + width

Let the width be represented by W

Area=24mm^2

Since area= length x width

24=(5+ W) x W

24=5W +[tex]W^{2}[/tex]

[tex]W^{2}[/tex] +5W-24=0

The factors are 8 and -3

[tex]W^{2}[/tex]+8w-3w-24=0

Factorise

W(w+8)-3(w+8)=0

(w-3)=0 or (w+8)=0

W=3 0r w= -8

The width cannot be negative.

Hence,W=3mm

Answer:

division

Step-by-step explanation:

ratio means those 2 nunbers are being divided

division is how the numbers are related or compared

much of it is describing some of all something

like 2 out 3 dentists like chrwing gum

Correct option for solving the system of two equation is ([tex]y\times z =6[/tex])[tex]\times -8[/tex] .

What is simultaneous linear equation?

A system of simultaneous linear equations is any set of two or more linear equations that share the same unknown variables. Finding values for the unknown variables that simultaneously satisfy all of the equations is required to solve such a system.

Simultaneous linear equations are two linear equations in two variables put together.

The ordered pair (x, y) that satisfies both linear equations is the system of simultaneous linear equations' solution.

Given,

Equation p: [tex]y+z=6[/tex]

Equation q: [tex]8y+7z=1[/tex]

To solve the above simultaneous linear equation multiply the equation p with (-8)

[tex](y+z=6)\times -8[/tex]     ...................................................... Equation (1)

Now add Equation (1) with Equation (q)

[tex]-8y-8z=-48[/tex]

+ [tex]8y+7z=1[/tex]

⇒ [tex]-z=-47[/tex]

⇒ [tex]z=47[/tex]

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Answer:

g(x) = log(x + 1) + 4

Step-by-step explanation:

The graph of g(x) is shifted 1 unit left and 4 units right from its parent function.

The velocity vector of the given path  r(t) = (9cos2(t), 3t - t^3, 2t) is [tex]v = 9sint\hat{i}+(3-3t^{2} )\hat{j} +2\hat{k}[/tex].

According to the given question.

We have a path

r(t) = (9cos2(t), 3t - t^3, 2t)

So, the vector form of the above vector form can be written as

[tex]r(t) = 9cos2(t)\hat{i}+ (3t - t^{3} )\hat{j} + 2t\hat{k}[/tex]

As, we know that the rate of change of position of an object is called velocity vector.

Therefore, the velocity vector of the given path r(t) = (9cos2(t), 3t - t^3, 2t) is given by

[tex]v = \frac{d(r(t))}{dt}[/tex]

[tex]\implies v = \frac{d(9cost\hat{i}+(3t-t^{3})\hat{j}+2t\hat{k} }{dt}[/tex]

[tex]\implies v = \frac{d(9cost\hat{i})}{dt} +\frac{d(3t-t^{3})\hat{j} }{dt} +\frac{d(2t)}{d(t)}[/tex]

[tex]\implies v = 9sint\hat{i}+(3-3t^{2} )\hat{j} +2\hat{k}[/tex]

Hence, the velocity vector of the given path  r(t) = (9cos2(t), 3t - t^3, 2t) is [tex]v = 9sint\hat{i}+(3-3t^{2} )\hat{j} +2\hat{k}[/tex].

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s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom. This can be obtained the same way of finding algebraic equation using variables ad constants.

From the question it is given that:

From the given statements we can say that sonic booms are created ONLY WHEN the speed of object (s) is greater than the speed of the sound.

This clearly means that sonic booms are produced when s is greater that s

There are three possible situations in the given scenario:

Since we are looking for the true equation of creation of sonic waves,

it would be only the last one (s > 1225 km/hr).

Hence s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom.

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s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom. This can be obtained the same way of finding algebraic equation using variables ad constants.

Find the required inequality:

From the question it is given that:

speed of sound is approximately 1225 km/hr

a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom

From the given statements we can say that sonic booms are created ONLY WHEN the speed of object (s) is greater than the speed of the sound.

This clearly means that sonic booms are produced when s is greater that s

There are three possible situations in the given scenario:

Speed of light can be less than 1225 km/hr ⇒  s < 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)

s = 1225 km/hr  ⇒ no sonic boom is created (assumption is wrong)

s > 1225 km/hr  ⇒ sonic boom is created (assumption is correct)

Since we are looking for the true equation of creation of sonic waves,

it would be only the last one (s > 1225 km/hr).

Hence s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom.

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The category of the function f(x) shown in the graph is a (B) linear function.

To find which type of function describes f(x):

How do determine the graph?

Therefore, the category of the function f(x) shown in the graph is a (B) linear function.

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The complete question is given below:
Which type of function describes f(x)?

(A)exponential

(B) linear

(C) logarithmic

(D) polynomial

(E) rational

the value of x is -3. Option B

WE have the expression to be;

4^x=(1/8)^x+5

With the knowledge of indices, we have that;

2 = 2 ^1

4 = 2^2

8 = 2^3

16 = 2^4

32 = 2^5

So from this given information,

we can express the expression as;

4^x = 2^2x

1/8^x = 2^-3x

Substitute into the formula

2^2x = 2^-3x - 15

Cancel out the like terms

2x = -3x - 15

collect like terms

2x + 3x = - 15

x = -15/ 5

x = -3

Thus, the value of x is -3. Option B

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Th find the kicker with the greatest goal success rate, Coach Salinas should:

Statistics refers to the method of collecting data for the purpose of analysis, making of inferences and drawing of conclusions about the data collected.

Statistics usually involve numerical data in large quantities.

Statistical data can be used to make predictions about future events. They are also used to make decisions. For example, the statistical data of soccer players such as games/goal ratio, number of complete dribbles per match, number of successful take-ons, number of tackle or interceptions per game can be used in deciding which soccer player a football team should buy.

In the given scenario, Coach Salinas wants to compare the kicking statistics for kickers on their team in order to find the kicker with the greatest goal success rate.

To do this, Coach Salinas should:

In conclusion, statistical data is important in making decisions.

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Answer:

A and D are the answers.

Step-by-step explanation:

Hi :)

We'll use sohcahtoa to solve this problem

[tex]\large\boxed{\boxed{\begin{tabular} {c|1} \sf{ Sohcahtoa} & \sf{Formulas} \\\cline{1-2} \\\ \sf{Soh} & \sf{Opp/hyp} \\\sf{Cah} & \sf{Adj/hyp} \\\sf{Toa} & \sf{Opp/adj} \end{tabular}}}}[/tex]

Thus

The function that equals [tex]\sf{\dfrac{7}{25}}[/tex] besides [tex]\sin B[/tex] is :

[tex]\tt{Learn\:More;Work\;Harder}[/tex]

:)

Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

To determine which planks Amanda should use to build the triangular-shaped kennel:

Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

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Answer:

○ [tex]3x + 4y = 7[/tex]

Step-by-step explanation:

The general form of the equation of a straight line is as follows:

[tex]\boxed{y = mx + c}[/tex],

where:

m = slope

c = y-intercept.

This means that m, which is the coefficient of [tex]x[/tex], needs to be [tex]-\frac{3}{4}[/tex].

Therefore we have to rearrange each equation given to make y the subject, and then check if the coefficient of [tex]x[/tex] becomes [tex]-\frac{3}{4}[/tex].

• First option:

[tex]4x - 3y = 7[/tex]

⇒ [tex]-3y = -4x + 7[/tex]

⇒ [tex]y = \frac{4}{3}x -{ \frac{7}{3}[/tex]

∴ 'm' is [tex]\bf \frac{4}{3}[/tex], not  [tex]-\frac{3}{4}[/tex], therefore this option is incorrect.

• Second option:

[tex]4x + 3y = 7[/tex]

⇒ [tex]3y = -4x + 7[/tex]

⇒ [tex]y = -\frac{4}{3}x + \frac{7}{3}[/tex]

∴ 'm' is [tex]\bf -\frac{4}{3}[/tex], not  [tex]-\frac{3}{4}[/tex], therefore this option is incorrect.

• Third option:

[tex]3x + 4y = 7[/tex]

⇒ [tex]4y = -3x + 7[/tex]

⇒ [tex]y = -\frac{3}{4}x + \frac{7}{3}[/tex]

'm' is [tex]\bf -\frac{3}{4}[/tex], therefore this option is correct.

Note:

You can rearrange the equation given in the last option, and see that 'm' comes out to be [tex]\frac{3}{4}[/tex], thereby making it incorrect.

[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

[tex]\sf{- \dfrac{3}{4}}[/tex]

First, we take all the given options to their slope-intercept form:

[tex]\longrightarrow \sf{y=m x+b}[/tex]

Taking to each equation to its slope-intercept form, you get:

[tex]\small\longrightarrow \sf{-3y = 7 - 4x}[/tex]

[tex]\small\longrightarrow \sf{- \dfrac{4}{ - 3} x + \dfrac{7}{3} }[/tex]

[tex]\small\longrightarrow \sf{y = \dfrac{4}{ 3} x - \dfrac{7}{3} }[/tex]

[tex]\small\longrightarrow \sf{3y = 7 - 4x}[/tex]

[tex]\small\longrightarrow \sf{y = \dfrac{7}{3} - \dfrac{4}{3} x}[/tex]

[tex]\small\longrightarrow \sf{4y y = = 7- 3x}[/tex]

[tex]\small\longrightarrow \sf{y = \dfrac{7}{4} - \dfrac{3}{4} x}[/tex]

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

◉ [tex] \bm{3x+4y=7}[/tex]

Step-by-step explanation:

a) We can find the iterative rule by first making a table of values.

n -> [tex]a_n[/tex]

1 -> 22

2 -> 28

3 -> 34

We see that [tex]a_n[/tex] increases by 6 each time. Hence, the iterative rule should have the term 6n. However, if we put 1 in for n, we get 6. We want 22-6=16 more than this, or [tex]6n+16[/tex]. This would work for any seat row we give.

b) Our iterative rule to get the number of seats is [tex]6n+16[/tex]. Since we know that this value is 100, we can put both equal to each other.

[tex]6n+16=100\\6n=84\\n=14[/tex]

Thus, the 14th row has 100 seats.

Answer:

(a) S_n = S_1 + 6 (n - 1)

(b) Row 14 has 100 seats

Step-by-step explanation:

(a) The arithmetic sequence would follow the iterative rule,

S_n = S_1 + 6 (n - 1) where S is the number of seats in row n, n is the row number, and S is the number of seats in row 1.

Row 1 = S_1 = 22

       2 = S_2 = 28

       3 = S_3 = 34

       4 = S_4 = 40

       ||      ||    = 46

       ||      ||    = 52

       ||      ||    = 58

       ||      ||    = 64

       ||      ||    = 70

       ||      ||    = 76

       ||      ||    = 82

       ||      ||    = 88

       ||      ||    = 94

Row 14 = S_14 = 100

(b) 100=22+6(n-1) solve for n after setting S_n = 100

100 = 22 + 6_n - 6

84/6 = 6n/6            Row 14 has 100 seats

14 = n

please say thanks!

Using proportions, considering the ratio given in the double number line, it is found that there are 7.04 yards in 4 miles.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching the problem on the internet, it is found that there are 3.52 yards in 2 miles. Hence the following rule of three is used to find the number of yards in 4 miles.

2 miles - 3.52 yards

4 miles - n yards

Applying cross multiplication:

2n = 4 x 3.52

Simplifying by 2:

n = 2 x 3.52

n = 7.04 yards.

There are 7.04 yards in 4 miles.

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Answer:  the average rate of change of the function is 23.

Step-by-step explanation:

[tex]h(x)=x^2-10x+21\ \ \ \ \ -1\leq x\leq 10 \ \ \ \ A(x)=?\\\displaystyle\\A(x)=\frac{\Delta y}{\Delta x}=\frac{h(x-g)-h(x)}{g} \\g=x_{max}-x_{min}\\g=10-(-1)\\g=10+1\\g=11.\ \ \ \ \ \Rightarrow\\A(x)=\frac{(x-11)^2-10*(x-11)+21-(x^2-10x+21)}{11} \\A(x)=\frac{x^2-22x+121-10x+110+21-x^2+10x-21}{11} \\A(x)=\frac{231-22x}{11}\\ A(x)=\frac{11*(21-2x)}{11}\\ A(x)=21-2x.\\x=x_{min}\ \ \ \ \ \Rightarrow\\A(x)=21-2*(-1)\\A(x)=21+2\\A(x)=23.[/tex]

Answer:

your answer will be C .

Step-by-step explanation:

Answer:

3.67+(-0.43)+(-0.44)

3.67-0.43-0.44

3.24-0.44

2.8 Ans

Answer:

Which characteristic is necessary to create a table that compares two functions :

Choose the same values for each function [tex]\huge \checkmark[/tex]

Answer:

It is the second picture.

Step-by-step explanation:

The estimated value of y when x=30. The answer rounded to three decimal places is 5.

Envisioned cost method, as of any date of willpower, with respect to any paintings of art, the most latest estimate of fee of such paintings of artwork, as determined every so often through the relevant Borrower in accordance with phase 5.12.

To discover the estimated value E(X), or imply μ of a discrete random variable X, in reality,y multiply every value of the random variable by way of its chance and upload the products. The method is given as E ( X ) = μ = ∑ x P ( x ) .

In opportunity theory, the estimated value is a generalization of the weighted common. Informally, the anticipated price is the mathematics suggestion of a big variety of independently decided effects of a random variable.

estimated Y when

b₁x + b

X = 30.

=( 0·302) (30) + (-3-772)

5.288

= 5

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The two non negative real numbers with a sum of 60 that have the largest possible​ product are 30 and 30.

What are non negative numbers?

Non-negative numbers are those that are either zero or positive (remember that 0 and 0 are the same). An integer that is either positive or zero is considered a non-negative integer. It is the result of adding all the natural numbers together with zero. It can be defined as the set "0, 1, 2, 3,...," and is also known as Z.

An integer that is either positive or zero is considered a non-negative integer.

Let us assume the two non negative numbers are [tex]x[/tex] and [tex]y[/tex].

According to the question,

Sum of two non negative numbers = 60

⇒ [tex]x+y=60[/tex]

⇒ [tex]y=60-x[/tex]

Their product will be given as,

⇒ [tex]P=xy[/tex]

⇒ [tex]P=x(60-x)[/tex]

⇒ [tex]P=60x-x^2[/tex]

For the product to be largest [tex]P'(x)=0[/tex]

⇒ [tex]P'(x) = 60-2x[/tex]

⇒ [tex]60-2x=0[/tex]

⇒ [tex]2x=60[/tex]

⇒ [tex]x=30[/tex]

Now, for the value of [tex]y[/tex]

⇒ [tex]y=60-x[/tex]

⇒ [tex]y=60-30[/tex]

⇒ [tex]y=30[/tex]

Therefore, the two non negative numbers are 30, 30.

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Answer:

11/6 + -2/5 +-13/10?

11/6 + (-2/5) + (-13/10)

43/30 - 13/10

2/15

Answer:

The mean absolute deviation (MAD) is 0

Step-by-step explanation:

20 + 16 + 21 + 16 + 22 + 16 + 15

= 126 ÷ 7 = 18

(20 - 18) + (16 - 18) + (21 - 18) + (16 - 18) + (22 - 18) + (16 - 18) + (15 - 18) =

2 +(-2) + 3 + (-2) + 4 + (-2) + (-3) = 0 ÷ 7= 0

The mean absolute deviation (MAD) is 0

The number of different integers there are for the condition described in which case, the square of the square of the integer is a two-digit integer as in the task content is 4 possible integers which includes; -2, -3, 2, 3.

According to the task content, the square of the square of such integers must be a two-digit number, that is, less than or equal to 99.

The numbers in discuss, x must satisfy;

x⁴ < 99.

The numbers in this regard are therefore, -2, -3, 2, 3.

Ultimately, the integers which satisfy the condition described in which case, the square of the square of the integer is a two-digit integer as in the task content is 4 possible integers which includes; -2, -3, 2, 3.

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The p-value from the information about the recently televised broadcast is B. 0.9999.

From the information given, n = 5000 and the level of significance is 0.01.

The computed z value is -8.84.

From the z table, the probability value is the value corresponding to the row 8.8 and column 0.04.

This will give a value of 0.9999.

In conclusion, the correct option is B.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{Formula: a^2 + b^2 = c^2}[/tex]

[tex]\textsf{Solving:}[/tex]

[tex]\mathsf{2^2 + 6^2 = c^2}[/tex]

[tex]\mathsf{2 \times 2 + 6 \times6 = c^2}[/tex]

[tex]\mathsf{4 + 36 = c^2}[/tex]

[tex]\mathsf{40 = c^2}[/tex]

[tex]\large\textsf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\sqrt{40}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Multiply 3 and 4, then subtract that total from 5.

Step-by-step explanation:

You would need to follow P.E.M.D.A.S.

Parentheses, Exponents, Multiply & Divide, Add & Subtract

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