√6²+8²= ³√125a³

work out the value of a.​

Answer:

c

Step-by-step explanation:

x=1 g(x)=-10

x=2 g(x)=-12

x=3 g(x)=-14

f(x)=x+4

=＞ g(x)=-2·(x+4)

Answer:

387

Step-by-step explanation:

129x3=387

Answer:

129 x 3 = 387ft

Step-by-step explanation:

The measure of ∠V of the parallelogram is = 150.5°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the measure of the angle ∠Y = 10x + 27

Let the measure of the angle ∠W = 2x + 29

Now , for a parallelogram the opposite sides are congruent and opposite angles are congruent

Substituting the values in the equation , we get

10x + 27 = 2x + 29

Subtracting 2x on both sides of the equation , we get

8x + 27 = 29

Subtracting 27 on both sides of the equation , we get

8x = 2

Divide by 8 on both sides of the equation , we get

x = 1/4

Let the measure of the angle ∠Y = 10 ( 1/4 ) + 27

Let the measure of the angle ∠Y = 2.5 + 27

Let the measure of the angle ∠Y = 29.5°

Now , same-side interior angles (consecutive angles) are supplementary

Substituting the values in the equation , we get

angle ∠Y + angle ∠V = 180°

29.5° + m∠V = 180°

Subtracting 29.5 on both sides of the equation , we get

m∠V = 150.5°

Hence , the measure of m∠V = 150.5°

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The expression that can be express in the form  (ax + b)(ax - b), are x² - 9 and  9x² - 4.

The expression that can be written in the form (ax + b)(ax - b), where a and b are integers can be represented as follows:

Therefore,

The expression should be able to be express in the form as follows:

(ax + b)(ax - b)

x² - 9 = (x - 3)(x + 3)

Therefore,

(x - 3)(x + 3) = x² + 3x - 3x - 9

x² + 3x - 3x - 9  = x² - 9

Therefore,

(x - 3)(x + 3) = x² - 9

9x² - 4 = (3x + 2)(3x - 2)

(3x + 2)(3x - 2) = 9x² - 6x + 6x - 4

9x² - 6x + 6x - 4 = 9x² - 4

Therefore, the expression are x² - 9 and  9x² - 4

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Divide the volume of the larger cube by the volume of the smaller cube.

1. (3/7 x 3/7 x 1/7) / (1/7)^3 = 9

Answer: 9

2. (2/6)^3 / (1/6)^2 = 8

Answer: 8

3. (1/3 x 2/3 x 2/3) / (1/6)^3 = 32

Answer: 32

4. (3/7)^3 / (1/7)^3 = 27

Answer: 27

Answer:

-3/2

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

(y2-y1) / (x2-x1)

(-13-(-1)) / (10-2)

=-12/8

simplify

= -3/2

Answer:

4$ for one hotdog

Step-by-step explanation:

60/15 =

4.

One hotdog equal 4$

brainliest?

The rate of one hot dog is $4.

We are given that there are 15 hot dogs which cost $60.We have to calculate the amount of rate for one hot dog.

By the unitary method,

Amount of rate for one hot dog = is $60/15=$4

Hence one hot dog cost $4.

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Answer:

b 1

Step-by-step explanation:

The correct answer is B. created in an iterative and incremental manner.

Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.

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The answer is 112 centimeters.

As this problem represents a right triangle, here we need to apply the Pythagorean Theorem.

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

I would say about 5 to 10

Step-by-step explanation:

I am not quite sure if this is correct.

Answer:

175%

Step-by-step explanation:

We take

98 divided by 56, time 100 = 175%

So, 98 is 175% of 56

Answer:

(-7x + 4)(-7x - 4)

Step-by-step explanation:

When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.

Ex: (a+b)(a-b)

OR (x+2)(x-2)

OR (m-3)(m+3)

OR (2x+1)(2x-1)

OR (-5n+7)(-5n-7)

These multiplications

(–7x + 4)(–7x + 4) and

(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.

(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.

Difference of squares:

(a+b)(a-b)=

a^2 - b^2

Answer:

(D)

Step-by-step explanation:

By definition, opposite numbers have the same magnitude from different signs.

This means that their absolute values are the same, and thus are the same distance away from 0.

Answer:

$486

Step-by-step explanation:

8% of 450 = 36

450+36 = $486

Answer:

Step-by-step explanation:

Kendall bought a vase that costs 450

he paid 8% tax

tax=450*(8/100)=36

total cost=450+36=486

Answer:

20 degrees

Step-by-step explanation:

Angles on the edge of the circle are equal to 1/2 of the arc it forms, so that means angle z is one half of 40 degrees. 1/2 * 40 = 20 degrees.

Answer:

113.142 mm

Step-by-step explanation:

Easy.

Formula:

pi x radius x radius

Solution: 3.141592654 or 22/7 for pi

22/7 x 6 x 6 = 113.142 mm

Answer:

B= 21

Step-by-step explanation:

A^2 + B^2 = C^2

72^2 + B^2 = 75^2

Solve for B

B = 21

Any test score above approximately 28.6 would be considered significantly high.

To identify test scores that are significantly low or significantly high, we need to determine the cutoff values based on the mean and standard deviation. In this case, the mean test score is 19.4 and the standard deviation is 4.6. To identify significantly low scores, we can consider scores that are below a certain threshold. One common approach is to use a z-score to determine how far a score is from the mean. A z-score measures the number of standard deviations a score is above or below the mean.  If we consider significantly low scores as those below a z-score of -2, we can calculate the cutoff value as follows: Cutoff for significantly low scores = Mean - (2 * Standard Deviation); Cutoff = 19.4 - (2 * 4.6); Cutoff ≈ 10.2.

Therefore, any test score below approximately 10.2 would be considered significantly low. Similarly, to identify significantly high scores, we can consider scores above a certain threshold. Using a z-score of 2 as the cutoff, we can calculate the cutoff value as follows: Cutoff for significantly high scores = Mean + (2 * Standard Deviation); Cutoff = 19.4 + (2 * 4.6); Cutoff ≈ 28.6 .Thus, any test score above approximately 28.6 would be considered significantly high. In summary, test scores below approximately 10.2 are significantly low, while scores above approximately 28.6 are significantly high based on the mean and standard deviation provided.

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The estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

To estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints, we can use the right Riemann sum method.

The width of each rectangle, Δx, is given by the interval width divided by the number of rectangles.

In this case, Δx = (π/2 - 0)/4 = π/8.

To calculate the right endpoint values, we evaluate f(x) at the right endpoint of each rectangle.

For the first rectangle, the right endpoint is x = π/8.

For the second rectangle, the right endpoint is x = π/4.

For the third rectangle, the right endpoint is x = 3π/8.

And for the fourth rectangle, the right endpoint is x = π/2.

Now, let's calculate the area for each rectangle by multiplying the width (Δx) by the corresponding height (f(x)):

Rectangle 1: Area = f(π/8) * Δx = 5cos(π/8) * π/8

Rectangle 2: Area = f(π/4) * Δx = 5cos(π/4) * π/8

Rectangle 3: Area = f(3π/8) * Δx = 5cos(3π/8) * π/8

Rectangle 4: Area = f(π/2) * Δx = 5cos(π/2) * π/8

Now, let's calculate the values:

Rectangle 1: Area = 5cos(π/8) * π/8 ≈ 0.2887

Rectangle 2: Area = 5cos(π/4) * π/8 ≈ 0.3142

Rectangle 3: Area = 5cos(3π/8) * π/8 ≈ 0.2887

Rectangle 4: Area = 5cos(π/2) * π/8 ≈ 0

Finally, to estimate the total area, we sum up the areas of all four rectangles:

Total Area ≈ 0.2887 + 0.3142 + 0.2887 + 0 ≈ 0.8916

Therefore, the estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

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Answer:

x = 3, x = 9/4

Step-by-step explanation:

8x = 24

x = 3 Divide both sides by 8.

4x = 9

x = 9/4 Divide both sides by 4.

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation \#1.}\)

\(\mathsf{8x = 24}\)

\(\huge\textbf{Simplifying:}\)

\(\mathsf{8x = 24}\)

\(\huge\textbf{Divide \boxed{8} to both sides:}\)

\(\mathsf{\dfrac{8x}{8} = \dfrac{24}{8}}\)

\(\huge\textbf{Simplify it:}\)

\(\mathsf{x = \dfrac{24}{8}}\)

\(\mathsf{x = 3}\)

\(\huge\textbf{Therefore, the answer should be:}\)

\(\huge\boxed{\mathsf{x =}\frak{\ 3}}\huge\checkmark\)

\(\huge\textbf{Equation \#2.}\)

\(\mathsf{4x = 9}\)

\(\huge\textbf{Simplifying:}\)

\(\mathsf{4x = 9}\)

\(\huge\textbf{Divide \boxed{9} to both sides:}\)

\(\mathsf{\dfrac{4x}{4} = \dfrac{9}{4}}\)

\(\huge\textbf{Simplify it:}\)

\(\mathsf{x = \dfrac{9}{4}}\)

\(\mathsf{x = 2 \dfrac{1}{4}}\)

\(\huge\textbf{Therefore, the answer should be:}\)

\(\huge\boxed{\mathsf{x = }\frak{\ \dfrac{9}{4}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer: bottom one I think

Step-by-step explanation:

Answer:

y=3x-3

Step-by-step explanation:

slope = change in y/change in x

slope = 3/1 = 3

y-intercept = y value when x=0

 go 3u left, 3x3 = 9 so 9u down

 (0,-3)

slope = m = 3

y-int = b = -3

y=mx+b

y=3x-3

Answer:

(0, 1 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y - 4x = 1 ( add 4x to both sides )

y = 4x + 1 ← in slope- intercept form

with c = 1

the coordinates of the y- intercept are (0, 1 )

We can be 90% confident that the population standard deviation of alcohol in cough syrup falls between 0.017 and 0.027. Rounded to three decimal places, the confidence interval is [0.017, 0.027].

To construct a 90% two-sided confidence interval for the population standard deviation of alcohol in cough syrup, we can use the formula:

CI = [(n-1)s^2 / χ^2(α/2, n-1), (n-1)s^2 / χ^2(1-α/2, n-1)]

Where CI is the confidence interval, n is the sample size (101 in this case), s is the sample standard deviation (0.15), χ^2 is the chi-squared distribution, and α is the significance level (0.1 for a 90% confidence interval).

Using a chi-squared distribution table or calculator, we can find that χ^2(0.05, 100) = 124.34 and χ^2(0.95, 100) = 77.93.

Plugging in the values, we get:

CI = [(100)(0.15^2) / 124.34, (100)(0.15^2) / 77.93]
CI = [0.017, 0.027]

Therefore, we can be 90% confident that the population standard deviation of alcohol in cough syrup falls between 0.017 and 0.027. Rounded to three decimal places, the confidence interval is [0.017, 0.027].

The percentage of alcohol in the cough syrup was measured in 101 randomly selected samples with a sample standard deviation of s = 0.15. To construct a 90% two-sided confidence interval for the population standard deviation (σ), you will need to use the chi-square distribution.

However, the given information is not sufficient to construct the confidence interval, as the sample mean (x) is not provided. If the sample mean were given, you could use the formula for the confidence interval with the chi-square distribution and round your answers to three decimal places.

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Answer:

You are 11.5  feet off the floor are you in 5 minutes

You are 23  feet off the floor are you in 10 minutes

it will take 13.91 minutes to reach the ground

Step-by-step explanation:

If   you are top , height will keep decreasing as you move downward.

Given

top height 32 feet

Descending speed = -2.3 feet /minute

Here negative sign implies that height is decreasing.

concept used

distance = speed * time

How many feet off the floor are you in 5 minutes?

time = 5 minutes

distance descended = -2.3 feet /minute*5 minutes = - 11.5 feet

Hence ,

I would have moved 11.5 feet from the top.

Distance from ground will be = Top height - distance descended

Distance from ground will be = 32 - 11.5 = 20.5 feet

____________________________________________

How many feet off the floor are you in 10 minutes

distance descended = -2.3 feet /minute*10 minutes = - 23 feet

Hence ,

I would have moved 23 feet from the top.

Distance from ground will be = Top height - distance descended

Distance from ground will be = 32 - 23= 9 feet

______________________________________________

When you reach the ground distance descended will be 32 feet.

Since its a descend distance off the floor has to be taken as negative value

Thus, distance descend in this case will be -32 feet

-32 feet= -2.3 feet /minute*Time

Time = -32/-2.3 = 13. 91 minutes.

Thus, it will take 13.91 minutes to reach the ground.

Answer:

  1.75%

Step-by-step explanation:

The monthly interest rate is the interest amount divided by the base on which it is computed, expressed as a percentage.

  $4.96/$283.15 × 100% ≈ 1.75172% ≈ 1.75%