Tell whether the angles are complementary or supplementary. Then find the value of x.

choices are:
Supplementary ; x = 5
Supplementary ; x = 25
Complementary ; x = 5
Complementary ; x = 25

The probability of Thuy rolling a 4 exactly 2 times is 1/6 × 1/6 × 5/6 × 5/6 × 5/6 × 5/6 × 5/6 × 5/6 = 5⁵/6⁷

We know that:

Thuy rolls a number cube 7 times,

so the total outcomes are: 6.

Also, it is asked to find the probability of rolling a 4 exactly 2 times.

So it could be done by the method that:

1/6 × 1/6 × 5/6 × 5/6 × 5/6 × 5/6 × 5/6 × 5/6,

where 1/6 denotes the probability of rolling a 4 and 5/6 denotes the probability of rolling a number other than 4

therefore we know that, the probability of rolling a 4 exactly 2 times is 1/6 × 1/6 × 5/6 × 5/6 × 5/6 × 5/6 × 5/6 × 5/6 = 5⁵/6⁷

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In response to the stated question, we may state that To conclude, the function problem's relation is a function for all x values except x between 3 and 4.

In mathematics, a function is a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a single element in the second set (called the range). In other words, a function takes inputs from one set and produces outputs from another. Inputs are commonly represented by the variable x, whereas outputs are represented by the variable y. A function can be described using an equation or a graph. The equation y = 2x + 1 represents a linear function in which each value of x yields a distinct value of y.

If and only if each input has precisely one output, a relation is a function. To determine whether the connection stated in the issue is a function, we must examine whether any x values have more than one output.

We may achieve this by putting the specified points on a graph and looking for vertical lines that cross the graph more than once. If so, the relationship is not a function.

We may create the following graph with the supplied points:

    |                    

8  |                    

    |                    

7  |              ●      

    |                    

6  |           ●        

    |                    

5  |                    

    |                    

4  |          ●          

    |                    

3  |              ●      

    |                    

2  |    ●                

    |                    

 1  |                    

    |                    

0  |                    

    |                    

-1 |                    

    |                    

-2 |                    

    |                    

-3 |                    

    |                    

-4 |                    

    |                    

    |_____________________

       -4  -3  -2  -1  0  1  2  3  4

Apart for the line travelling through the points (3, 2) and (4, 2), there is no vertical line that intersects the graph in more than one spot (4, -3). As a result, if x is between 3 and 4, the relation specified in the issue is not a function.

To conclude, the problem's relation is a function for all x values except x between 3 and 4.

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The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

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Answer:

graph 1 proportional

graph 2&3 is non proportional

i think

The quotient of given polynomials division is x+2. So, the correct answer is option A.

A quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

Given that, (x²+3x+2)÷(x+ 1)

x²+3x+2 can be written as

x²+1x+2x+2 (Splitting of middle term)

= x(x+1)+2(x+1)

= (x+1)(x+2)

Now, (x+1)(x+2)÷(x+1)

= [(x+1)(x+2)]/(x+1)

= (x+2)

Therefore, option A is the correct answer.

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What is the quotient of the following division problem (x²+3x+2)÷(x+ 1).

a. x+ 2

b. x +1

c. x²+3x +2

d. 0

Answer:

The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.

Step-by-step explanation:

The correct option for the sentence "The approximation of 1 = integral (4,1) cos(x3-5/2 ) dx using composite Simpson's rule with n= 3" is:

a. None of the Answers.

Given integral is, 1 = ∫ (4,1) cos(x³ - 5/2) dx.

Steps for composite Simpson's rule with n = 3:

Step 1: Find the value of h (step size)

h = (b - a)/nh

= (4 - 1)/3h = 1

Step 2: Find the value of x₀, x₁, x₂, and x₃

x₀ = 1, x₁ = x₀ + hx₁ = 1 + 1×1 = 2, x₂ = x₁ + hx₂ = 2 + 1×1 = 3, x₃ = x₂ + hx₃ = 3 + 1×1 = 4

Step 3: Evaluate the function f(x) for each x

f(x₀) = f(1) = cos(1³ - 5/2) ≈ 0.2836621855

f(x₁) = f(2) = cos(2³ - 5/2) ≈ -1.6663704519

f(x₂) = f(3) = cos(3³ - 5/2) ≈ 0.6571284504

f(x₃) = f(4) = cos(4³ - 5/2) ≈ 0.9833246894

Step 4: Calculate the value of S₁ and S₂

S₁ = h/3[f(x₀) + 4f(x₁) + f(x₂)]

S₁ = 1/3[0.2836621855 + 4(-1.6663704519) + 0.6571284504]

S₁ ≈ -2.6043712518

S₂ = h/3[f(x₂) + 4f(x₃) + f(x₄)]

S₂ = 1/3[0.6571284504 + 4(0.9833246894) + 0]

S₂ ≈ 1.6540677495

Step 5: Calculate the value of integral using composite Simpson's rule

I = S₁ + S₂

I ≈ -2.6043712518 + 1.6540677495

I ≈ -0.9503035023

Approximated value of 1 = integral (4,1) cos(x³-5/2) dx using composite Simpson's rule with n= 3 is 0.9503035023 (approx).

Therefore, the correct option is None of the Answers.

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Answer:

8 inches is the height

Step-by-step explanation:

\(12*10=120\)

\(960/120=8\)

Answer:

The height is 8 inches

Step-by-step explanation:

We have 12in as our length and 10in as our width.

12 × 10 = 120

960 ÷ 120 = 8in

To double check: 12 × 10 × 8 = 960

hopefully this helped :3

Answer: 45ft

Step-by-step explanation:

You do 8 x 5 first which you get 40 then you do 10 x 5 which you get 50 you add 40 and 50 you get 90 and since it’s made out of triangles you do bh1/2 so you do 90 x 1/2 or 90 / 2 and you get 45ft

Answer:(5x+8)/[(x+4)(x-1)(x+3)]

Step-by-step explanation:

1. First factorize the quad expressions in the denomeneter of both fractions.

2. Then choose you arithmetic common denomeneter .

3. And the rest is child's play.

Answer:

#1. 9

#2. -50

#3. -53

#4. 7

Answer:

4√3 is the answer for the question

To calculate the volume of the rectangular prism-shaped swimming pool, you multiply its length, width, and depth.

Given:

Length = 26 feet

Width = 17 feet

Depth = 6 feet

Volume = Length × Width × Depth

Volume = 26 ft × 17 ft × 6 ft

Volume = 2652 cubic feet

Therefore, the swimming pool can hold 2,652 cubic feet of water.

The correct answer is b. 2,652 cubic feet.

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The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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Answer:

5 m/s

Step-by-step explanation:

Divide the distance by Karl's time to find the rate at which Karl was running:

150/30 = 5 meters per second

Answer:

Zoey cannot make enough 3/4-cup servings so that each person on the trip has one serving.

Step-by-step explanation:

Zoey made 9 1/2 cups of trail mix for a camping trip.

She wants to divide the trail mix into 3/4-cup servings.

Thirteen people are going on the camping trip.

This means :

1 person = 3/4 cup servings

13 people = x

Cross Multiply

13× 3/4

= 39/4

= 9 3/4 cup

So for Zoey to be able to serve 13 people the trail mix in 3/4 cup servings, she need 9 3/4 cups of the trail mix

From the she made 9 1/2 cups of the trail mix.

Hence, Zoey cannot make enough 3/4-cup servings so that each person on the trip has one serving.

Given:

Required:

To find the critical value of the given function.

Explanation:

Consider the given function,

Calculate the derivative of the given function.

Solve f'(x)=0,

Therefore, the critical value is at 4.

Final Answer:

Critical value of the given function is 4.

In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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The Triangle will look in this way (Attached image)-

Step 1: Draw a line segment OQ.

Step 2: Place the center tip of the protractor at point O such that the protractor perfectly aligns with line AQ.

Step 3: Start from 'Q' on the protractor in the anti - clockwise direction and stop at 30. Mark it as point 'P'. If point 'Q' lies to the right of 'O', then start measuring clockwise and stop at 30.

Step 4: Now, place the protector at point Q, mark the point 'P' at 90, such that ∠OQP = 90.

Step 5: Join point 'P' with 'O'. ∠QOP=30° is the required 30 degree angle.

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The graph should show a parabolic shape, opening upwards. The points are (0,0), (0.5, 2.5), (1,5), (1.5, 22.5), and (2,20).

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is related to exactly one output.

Using the table provided, we can fill in the values for distance traveled:

Given function d=5t²

Putting t=0, d=0

t=0.5, d=1.25

t=1, d=5

t=1.5, d=11.25

t=2, d=20

Hence, d(meters) are 0,1.25,5,11.25 and 20.

To plot this data on a coordinate plane, we can use the values of t as the x-coordinates and the values of d as the y-coordinates.

The graph should show a parabolic shape, opening upwards. The points (0,0), (0.5, 2.5), (1,5), (1.5, 22.5), and (2,20) should be plotted and connected with a smooth curve.

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The firm would need approximately 9 machines. By plotting this scenario by indicating the new isoquant when L=3 and output is 2134 units.

a. To calculate the marginal product of labor, we differentiate the production function with respect to L.
The production function is given as: \(q = 600K^0.25 * L^0.5\)

Differentiating with respect to L, we get:
\(∂q/∂L = 300 * K^0.25 * L^(-0.5)\)

When K=10, we have:
\(∂q/∂L = 300 * 10^0.25 * L^(-0.5)\)

Simplifying, we have:
\(∂q/∂L = 94.868 * L^(-0.5)\)

b. To calculate the average product of labor, we divide the total output (q) by the number of workers (L).
Average product of labor = q / L

c. Diminishing marginal returns to labor occur when the marginal product of labor starts to decline. This happens when the derivative of the marginal product of labor (MPL) with respect to L is negative.

d. To illustrate the short-run scenario on a graph, label the horizontal axis as the number of workers (L) and the vertical axis as the quantity of output (q). Plot the isoquant for the current output level when K=10. Then, indicate the new scenario when the firm hires an additional worker (L=4) on the same graph.

e. To determine the number of machines needed when L=3 and output increases to 2134 units, we can rearrange the production function and solve for K.
\(2134 = 600K^0.25 * 3^0.5\)

Simplifying, we have:
\(2134 = 600K^0.25 * 3^0.5\)

Solving for K, we find:
K ≈ 8.987

f. To calculate the Marginal Rate of Technical Substitution (MRTS), we take the derivative of the production function with respect to K and divide it by the derivative with respect to L.
MRTS = (∂q/∂K) / (∂q/∂L)
When K=10 and L=3, we substitute these values into the derivatives of the production function and calculate the MRTS.

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Answer: c

Step-by-step explanation: I’m sm0rt :0

Answer:

C

Step-by-step explanation:

A. B . C

Answer:

8 Tickets

Step-by-step explanation:

40 / 5 = 8

Answer:

NO

Step-by-step explanation:

A triangle at most can be a right triangle.

The exterior angle of a triangle is formed by extending one sides of the triangle.

A triangle cannot have an exterior angle that measures 90° at two different vertices

If the exterior angle of a triangle measure 90 degrees, at two vertices.

Then, it means that, the triangle is right-angled at two points

So, the third angle of the triangle would be:

\(\mathbf{\theta + 90 + 90 = 180}\)

\(\mathbf{\theta + 180 = 180}\)

Subtract 180 from both sides

\(\mathbf{\theta = 0}\)

The third angle of the triangle is 0 degrees.

The above highlights are not possible for a valid triangle, because the smallest angle of a triangle must be:

\(\mathbf{\theta > 0}\)

Hence, a triangle cannot have an exterior angle that measures 90° at two different vertices

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The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.

The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated  instead of the radius, we have  to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
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Answer:

No she dosen't deserve that because she will be late for her trian but i would of walked out anyways LOL.!!!

Answer:

0.45

Hope this helped! Have a good evening.

\(Question\)

9/20 as a whole number Or Turn 9/20 Into A whole Number

Answer:

9/20 Can Not Be Turned into A Whole Number...

But the decimal is 0.45 Or O May be correct

But \(\frac{20}{9}\) Can be Turned Into A Mixed Number which Is \(2 \frac{2}{9}\) But Simply Divide  that to the Simpliest term Would Be\(2\frac{1}{3}\)

Hope  this helps

\(xXxAnimexXx\)

Answer:

4x² + 6x + 13

Step-by-step explanation:

Add like terms:

2x + 3x + x + 4x²+3

6x + 4x² + 3

Rearrange to put x² at the front:

4x² + 6x + 13

If this isn't the answer you were looking for, let me know.

Hope this helps!

Trapezoid's height is 8.5 inches using the formula of the square of a trapezoid.

let's first try to understand what is a trapezoid.

A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.

Trapezoids are defined differently by different people. A trapezoid can have one and only one pair of parallel sides, according to one school of mathematics, while another contends that a trapezoid can have multiple pairs of parallel sides. If we take into account the second definition, then a parallelogram is also a trapezoid by that definition. However, the first definition excludes parallelograms from the definition of a trapezoid. since it is one of the quadrilateral types that we have already mentioned.

We know the trapezoid area formula is

A = \((a+b)/2*h\)

Where a = base1 b = base2 and h = height

in Question, it is given that base1 = 10.5 inches long

base2 = 11.5 inches long area  = 93.5square inches.

93.5 = (10.5+11.5)/2 * h

93.5 = 22/2 *h

93.5 = 11*h

h = 93.5/11

h = 8.5 inches.

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Answer:

\(b^x =A\)

Step-by-step explanation: