Question 1 OT 10
Which choices are equivalent to the expression below? Check all that apply.
3.18
O A. 13.18
B. 6. 12
C. 6.24
OD 15.24
I E. 72
IF 5.-12
SUM

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

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Answer:

  2x^2 -4x +5 +8/(4x -1)

Step-by-step explanation:

You want to divide 8x^3-18x^2+24x+3 by 4x-1 using polynomial long division.

Polynomial long division is similar to numerical long division, except that the quotient term is always the ratio of the leading dividend term to the leading divisor term.

As with numerical long division, the dividend at each step is reduced by the product of the quotient term and the divisor.

When the dividend is of lower degree than the divisor, the division is finished. That dividend is the remainder.

The attachment shows the division in detail. Your result is ...

  q(x) +r(x)/b(x) = (2x^2-4x+5) +(8)/(4x-1)

Answer:

c. equal to 80

Step-by-step explanation:

Given that:

The population mean = 80

The standard deviation is = 6

The sample mean = 85

The objective is to find the probability that is less than 85

\(P(X < 85) = P( Z < \dfrac{x-\mu}{\sigma})\)

\(P(X < 85) = P( Z < \dfrac{85-80}{6})\)

\(P(X < 85) = P( Z < \dfrac{5}{6})\)

\(P(X < 85) = P( Z < 0.833)\)

From the standard normal table

P(X <85) = 0.7977

P(X< 85) = 79.77%

P(X< 85) = 80%

Therefore, The adjusted value of the true mean in population S that would result in approximately 80% of parts from that population being given a passing score is:  equal to 80    .

Answer: the answer is even.

The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

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The perimeter of the smaller figure among the two figures with similarity ratio of 4:3 is 18cm.

A ratio is a number that allows one quantity to be expressed as a fraction of another quantity. Two numbers in a ratio can only be compared if they have the same units. Use ratios to compare two things.  

The similarity of two similar shapes is the ratio of each pair of corresponding sides. Simply put, when two figures are found to be similar, all pairs of corresponding sides have the same proportions. 

According to the information:

Perimeter of larger figure= 24cm

Let, perimeter of smaller figure be "x"

So,

4:3 = 24/x

4/3 = 24/x

⇒x = (24 x 3)/4

⇒x = 72/4

⇒x = 18

Thus the perimeter of smaller figure is 18cm.

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Answer:

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Step-by-step explanation:

Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Step-by-step explanation:

I/2×7×11 can't be bothered using a calculator

Answer:

54 sq units

Step-by-step explanation:

Answer: 678

Step-by-step explanation: ii

The standard form of "18 hundreds 11 tens" is 1910.

To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.

We know that 1 hundred is equal to 100, and 1 ten is equal to 10.

So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.

18 hundreds = 18 x 100 = 1800

11 tens = 11 x 10 = 110

To find the standard form, we add the two values:

1800 + 110 = 1910

Therefore, "18 hundreds 11 tens" in standard form is 1910.

In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.

The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.

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The partial product method involves multiplying each digit of one number in turn with each digit of another where each digit keeps its place. (So ​​the 2 in 23 would actually be 20.) For example, 23 x 42 would become (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).

Answer:

x=-1/2

Step-by-step explanation:

hope this helps

Answer:

\(0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi\)

Step-by-step explanation:

Given the equation:

\(sin(x)-2sin(x) tan(x)=0\)

To find:

The solutions of given equation in the range [0, 2\(\pi\)) i.e. 0 can be in the answer but \(2\pi\) can not be there in the answer.

Solution:

Taking \(tan(x)\) common, we get:

\(tan(x) (1-2sin(x))=0\)

The solutions can be given as:

\(tan(x) = 0\) OR \(1-2sin(x) = 0\)

Let us solve both the equations one by one:

First equation:

\(tan(x) = 0\\ \Rightarrow x=0, \pi\)

Second equation:

\(1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}\)

Therefore, the answers as a comma separated list are:

\(0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi\)

The total volume of the wedding tent is 14560 ft³.

To find the total volume of the wedding tent, we need to calculate the volume of both the rectangular prism and the rectangular pyramid, and then add them together.

The volume of a rectangular prism is given by the formula:

Volume_prism = length * width * height

In this case, the dimensions of the prism are 32 ft by 35 ft by 9 ft, so the volume of the prism is:

Volume_prism = 32 ft * 35 ft * 9 ft = 10080 ft³

The volume of a rectangular pyramid is given by the formula:

Volume_pyramid = (length * width * height) / 3

The dimensions of the top of the pyramid are the same as the base of the prism, so the length and width of the pyramid are both 32 ft. The height of the pyramid is 4 ft. Using these values, we can calculate the volume of the pyramid:

Volume_pyramid = (32 ft * 35 ft * 4 ft) / 3 = 4480 ft³

To find the total volume of the tent, we add the volume of the prism and the volume of the pyramid:

Total_volume = Volume_prism + Volume_pyramid

Total_volume = 10080 ft³ + 4480 ft³ = 14560 ft³

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The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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Answer:

87,930 Minutes

Step-by-step explanation:

Let us use unit rates for this question. Let's first draw a table.

Minutes   Mile

45               1

This table represents the relation of Sally walking 1 mile in 45 minutes. Let's put the other data we know of in the table.

Minutes   Mile

45               1

                  1954

To find the number of minutes, we must know that if 1 mile takes 45 minutes, we must multiply the number of minutes, which is 45, by 1954 to get the result desired. Let us do that.

1954*45 = 87,930

Minutes   Miles

45               1

87,930      1954

Therefore it will take Sally 87,930 minutes to walk 1,954 Miles.

I Hope This Helps!

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The height of the skyscraper is D. 156.26 ft

To determine the height of the skyscraper,  we need to consider the following trigonometric identities listed thus;

From the information given, we have that;

Angle, θ = 38 degrees

The shadow casted is the adjacent side of the angle and is 200 ft

The height off the skyscraper is the opposite side

Now, using the tangent identity, we have that;

tan θ = opposite/adjacent

tan 38 = h/200

cross multiply the values, we get;

h = 200(0.7812)

Multiply the values

h = 156. 26 ft

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Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

Answer:

A is the answer

Step-by-step explanation:

I thought I said it

Answer:

its $148.80

Step-by-step explanation:124.00 times .20 which its 24.8 and then u add that to ur bill.

i attached screenshots for answers since I can't write freely here

there are 3 pics just scroll

Step-by-step explanation:

1) -28

here u can solve it normally , but in pic took long steps since it's "simplify expressions"

2) x = 64

3) D) -1 ½

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

Answer:

-2.05

Step-by-step explanation:

From the given information,

Let consider \(\mu\) to represent the population mean

Therefore,

The null and alternative hypothesis can be stated as :

\(H_o :\mu=9\)

\(H_1 :\mu<9\)

From the hypothesis , the alternative hypothesis is one tailed (left)

when the level of significance = 0.020, the Z- critical value can be determined from the standard normal distribution table

Hence, the Z-critical value at ∝ = 0.020 is -2.05

Answer:

The formula for circumference is: C = 2πr   or   C = πd

Step-by-step explanation:

C = 2πr

(Circumference equals two times pi times radius)

C = πd

(Circumference equals pi times diameter)

Circumference is the distance around a circle.

Diameter is the measure of one side of the circle to the other.

Radius is half of the diameter.

I hope this helps!

Answer: 1. (8b + 5)

2. (22p - 9)

HAVE A GREAT DAY!!!!

Step-by-step explanation:

The inequality on the graph is the third option:

(2/5)*x - 3/2 ≥ y

Let's analyse the graph if the inequality.

We can see that there is a solid linear equation with a positive slope, and the shaded area is below that line, then the inequality is of the form:

y ≤ linear equation.

We know that the symbol "≤" must be used because of the solid line.

We also can see that when x = 0, y takes a velue between -1 and -2.

With that in mind the correct option is the third one:

(4/5)*x - 2y ≥ 3

Isolating y we get:

(4/5)*x - 3 ≥ 2y

(2/5)*x - 3/2 ≥ y

Changing the order:

y ≤ (2/5)*x - 3/2

That is the graphed inequality.

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