In the figure below, what is the length of BC?
A) 12
B) 13
C) 17
D) 18
E) 22

Answer:

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

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

43/30 - 13/10

2/15

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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Answer:

No,

Step-by-step explanation:

X^-2 is equal to 1/X^2. so any number or letter to negative power, is the same as 1 divided by that number or letter to the positive power..(power remains with denominator

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:

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

Answer:

it helps you control your spending, track your expenses, and save more money.

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 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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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 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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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]

Alpha level. the minimum P-value at which we reject the null hypothesis

That two options are identical is the null hypothesis. According to the null hypothesis, the observed difference is solely the result of chance. The probability that the null hypothesis is correct can be determined via statistical testing.

The "significance level," often known as the alpha level, must be established before performing any statistical test. The likelihood of rejecting the null hypothesis when it is true is what is meant by the term "alpha level" in statistics. The likelihood of making a poor decision is what this phrase means.

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Answer:

numbers

Step-by-step explanation:

numbers

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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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]

:)

Step-by-step explanation:

f(a):

   So for this you simply plug in "a" as x, and this doesn't really do anything beside replace all values with x, so you just have the equation:

  [tex]f(a) = 5a+4[/tex]

2 f(a):

   So for this one, you want to represent f(a) using the equation it's equal to (5a + 4), and substitute it in for f(a). In doing so, you get the expression:

   2*f(a) -> 2(5a + 4) -> 10a + 8

f(2a):

   So this is very similar to the first question, although you will have to do some multiplication. So just plug in 2a as "x" to get the equation:

   [tex]f(2a) = 5(2a) + 4 = 10a+4[/tex]

f(a+2):

   Basically the same process, you plug in (a+2) as "x" and simplify:

   [tex]f(a+2) = 5(a+2) + 4\\f(a+2) = 10a+10+4\\f(a+2) = 10a+14[/tex]

f(a) + f(2):

  This is similar to the second question, and you simply want to replace the f(a) with the equation that represents it (5a + 4) and same thing for f(2) = 5(2) + 4

   [tex]f(a) + f(2) = (5a+4)+(5(2)+4) \\f(a) + f(2) = (5a+4)+(10+4)\\f(a)+f(2) = (5a+4) + (14)\\f(a) + f(2) = 5a+18[/tex]

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

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!

Answer:

It is the second picture.

Step-by-step explanation:

Answer:

So, having "hold-out" data allows you to have a nonpartisan set of data (so to speak) for you to refer to later, once you have made use of the "train" and "test" sets. That way you can make a fair assessment as to the difference between the new and old ('hold-out") sets.

Or if you need to repeat the experiment or model again - then you can refer to the "hold out data"

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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Answer:

6/25.

Step-by-step explanation:

They are 19, 29, 59, 79, 89 and 97.

A total of 6.

So the required fraction is 6/25.

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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Using Chebyshev's Theorem, we are guaranteed to find at least 75% of the people earning hourly wages between $4.15 and $23.23.

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

In this problem, we want the values within 2 standard deviations of the mean, hence the values are:

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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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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

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

Explanation:

Replace x with 4 and y with 5.

Then use the order of operations (PEMDAS) to simplify until you get a single number.

Something like 9x means "9 times x", and a similar situation happens with the 8y term as well.

---------

Here's what the steps look like:

9x + 8y

9*4 + 8*5

36 + 40

76

Therefore, 9x+8y = 76 when x = 4 and y = 5.

The point (4,5) is located on the line 9x+8y = 76