given the following quadratic equation, what is the value of A? 5x^2+8x-4

*5
*2
*8
*4​

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

B

Step-by-step explanation:

\(\frac{5}{6} +\frac{2}{3} \\\\=\frac{5}{6}+\frac{2*2}{2*3} \\\\=\frac{5}{6}+\frac{4}{6} \\\\=\frac{5+4}{6} \\\\=\frac{9}{6} \\\\=\frac{3*3}{3*2} \\\\=\frac{3}{2}\)

\(=\frac{2+1}{2} \\\\=\frac{2}{2}+\frac{1}{2} \\\\=1+\frac{1}{2}\)

B.One and one half

Answer:

a=b sinα

sinβ=5·sin(22°)

sin(119°)≈2.14154

a=b sinα

sinβ=12·sin(48°)

sin(42°)≈13.32735

Step-by-step explanation:

I think this is correct but i am most likely wrong, Im not that great at math

Answer:

( SOLVE FOR h )

Step-by-step explanation:

THE FORMULA:

a = b \(\frac{sin A}{sin B}\)

---------

b = 12

sin a = 48

sin B = 42

--------

12 × \(\frac{sin 48}{sin 42}\)

ANSWER =

h = 13.33

----------------------------------------

SOLVE FOR x AND y

I'M NOT SURE.......

x = 2.14

b = 5

The major difference between an independent samples design and a dependent samples design when determining the observed t-test or the confidence interval is:

C. The two standard errors are calculated differently.

In an independent samples design, where two separate groups are being compared, the standard errors for the means of each group are calculated separately. The standard error measures the variability of the sample means around the population means. In this case, since the groups are independent, the standard errors are calculated independently.

On the other hand, in a dependent samples design, also known as a paired or matched design, the groups are related or paired in some way (e.g., before and after measurements on the same individuals).

In this design, the standard errors are calculated differently because the observations within each pair or group are dependent on each other. The standard errors consider the covariance or correlation between the paired observations, reflecting the within-pair variability.

Therefore, (C) the calculation of standard errors differs between independent samples and dependent samples designs when determining the observed t-test or the confidence interval.

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Answer:

Hello! I think the answer is D: $2.25. Please correct me if i'm wrong.

Step-by-step explanation:

Answer:

D: $2.25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

using the property of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

let \(log_{0.25}\) 2 = n ( solve for n ) , then

2 = \((0.25)^{n}\) = \((\frac{1}{4}) ^{n}\) = \((\frac{1}{2^2}) ^{n}\) = \((2^{-2}) ^{n}\) = \(2^{-2n}\)

so

\(2^{-2n}\) = \(2^{1}\)

since bases on both sides are the same then equate exponents

- 2n = 1 ( divide both sides by - 2 )

n = \(\frac{1}{-2}\) = - \(\frac{1}{2}\)

Answer:

N - 3

Step-by-step explanation:

It is a series of -3 so:

7 -3 = 4

4 - 3 = 1

1 - 3 = -2

So:

N-3

where N is the present value in the sequence.

Answer:

the answer is 23

Based on the calculations we have rejected the null hypothesis .

Given,

Standard deviation = $ 45

Random sample = 20

Now,

Part 1

Set the null hypothesis and alternative hypothesis,

\(H_{0} : u = 0\\ H_{0} : u > 606.40\)

Part 2

The value of z critical signifies 5% level of significance .

\(Z_{0.05} = 1.65\)

According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .

Part 3

The value of Z can be calculated by the formula,

Z = X - µ/σ/√n

Substitute the values ,

Z = 628.85 - 606.40/45/√20

Z = 1.93

Part 4

From the above calculation the value of Z is greater than the critical value .

Thus we reject the null hypothesis .

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Answer is 15√2/2. I think.

Answer:

14 ft

Step-by-step explanation:

area = length * width

140 sq ft = 10 ft * width

width = (140 sq ft)/(10 ft)

width = 14 ft

Answer:

3

Step-by-step explanation:

To find the answer, heres what you need to do.

Basically, you divide each number on the right by the number on the left.

15/5= 3

24/8=3

36/12=3

72/24=3

Since all of the answers are 3, your answer is 3

Answer:

3

Step-by-step explanation:

Slope Formula:

y2 - y1/x2 - x1

Let's use (5, 15) and (8,24)

(x1, y1) = (5, 15)

(y1, y2) = (8, 24)

Substitute:

y2 - y1/x2 - x1

24 - 15/8 - 5

Solve:

24 - 15/8 - 5

9/3

= 3

Therefore the slope, or constant rate is 3.

Tip: look at the relationship between Cost and Time.

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

Dividing is a simple way to find the slope!

Answer:

120

Step-by-step explanation:

-5(6) 2(-2)

-5 x6 = -30. 2 x -2=-4

-30 x -4 = 120

the negatives cancel out :)

Answer:

Step-by-step explanation:

1). f(x) = x² - 9

   g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          = \(\frac{x^2-9}{x-3}\)

          = \(\frac{(x+3)(x-3)}{(x-3)}\)

          = (x + 3)

2). f(x) = x² - 4x + 3

         = x² - 3x - x + 3

          = x(x - 3) - 1(x - 3)

          = (x - 1)( x- 3)

    g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          = \(\frac{(x-1)(x-3)}{(x-3)}\)

          = (x - 1)

3). f(x) = x² + 4x - 5

          = x² + 5x - x - 5

          = x(x + 5) - 1(x + 5)

          = (x - 1)(x + 5)

    g(x) = x - 1

    h(x) = f(x) ÷ g(x)

           = \(\frac{(x-1)(x+5)}{(x-1)}\)

           = (x + 5)

4). f(x) = x² - 16

          = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

   g(x) = (x - 4)

   h(x) = f(x) ÷ g(x)

          = \(\frac{(x-4)(x+4)}{(x-4)}\)

          = (x + 4)

Answer:

Step-by-step explanation:

1). f(x) = x² - 9

  g(x) = x - 3

  h(x) = f(x) ÷ g(x)

         =

         =

         = (x + 3)

2). f(x) = x² - 4x + 3

        = x² - 3x - x + 3

         = x(x - 3) - 1(x - 3)

         = (x - 1)( x- 3)

   g(x) = x - 3

  h(x) = f(x) ÷ g(x)

         =

         = (x - 1)

3). f(x) = x² + 4x - 5

         = x² + 5x - x - 5

         = x(x + 5) - 1(x + 5)

         = (x - 1)(x + 5)

   g(x) = x - 1

   h(x) = f(x) ÷ g(x)

          =

          = (x + 5)

4). f(x) = x² - 16

         = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

  g(x) = (x - 4)

  h(x) = f(x) ÷ g(x)

         =

         = (x + 4)

Answer:

Step-by-step explanation:

Q

(

2

,

1

)

and

R

(

8

,

13

)

is partitioned from

Q

to

R

into a

1

:

2

ratio at point

Z

. What are the coordinates of

Z

?

\(\cos(40^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{6}}\implies 6\cos(40^o )=x\implies 4.596\approx x\)

Make sure your calculator is in Degree mode.

Answer:

x = 2.98

Step-by-step explanation:

5^2x + 1 - 5^2x = 150

25x + 1 + 25x = 150

50x + 1 = 150

50x = 149

x = 2.98

5^2x + 1 - 5^2x = ?

5^2(2.98) + 1 - 5^2(2.98) = ?

25(2.98) + 1 + 25(2.98) = ?

74.5 + 1 + 74.5 = ?

149 + 1 = ?

150 = ?

The value of x is 2.98

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given an equation, 5^2x+1-5^2x=150

5^2x + 1 - 5^2x = 150

25x + 1 + 25x = 150

50x + 1 = 150

50x = 149

x = 2.98

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Step 1

Given;

Required; To find the price per ounce

Step 2

State the ratio that can be used to find the price per ounce of the candy bars.

Two vectors in ℝ⁴ are orthogonal if their dot product is zero.

Two vectors in ℝ⁴ are said to be orthogonal if their dot product is zero. The dot product of two vectors measures the similarity or alignment between them. When the dot product is zero, it signifies that the vectors are perpendicular to each other and do not share any common direction.

Geometrically, orthogonality between two vectors in ℝ⁴ means that they are linearly independent and span different directions in four-dimensional space. It implies that there is no projection of one vector onto the other, and they are completely perpendicular to each other.

The concept of orthogonality is fundamental in many areas of mathematics, physics, and engineering. In linear algebra, orthogonal vectors play a crucial role in defining orthogonal bases and orthogonal projections. They also have applications in vector calculus, where they are used to define gradients and normal vectors. In physics, orthogonal vectors are relevant in studying forces, velocities, and geometric transformations. Overall, understanding orthogonality is essential for analyzing vector relationships and geometric properties in multi-dimensional spaces.

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Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.

Given the diameter of the balloon = 55 ft

Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft

Rate of change of radius = 1.5 ft/min.

The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)

                                                              = 87069.583 \(ft^3\)

Two- thirds of the volume = (2/3) x 87069.583 = 58046.389  \(ft^3\)

Let R be the radius of the balloon with two-thirds of its maximum volume.

Then, \(\frac{4}{3}\pi R^3\) =  58046.389

⇒          \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583

⇒            \(R=13864.583^\frac{1}{3}\)

⇒           R = 24.023 ft

Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.

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Answer:

A) 16 minutes

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The measure of angle two is 47 degrees (first triangle), and the measure of angle four is 42 degrees (second angle)

Step-by-step explanation:

Remember that all triangles have a full measurement of 180 degees.

Since measure one is is 65 degrees, we need to add 65 and 68, which is 133 degrees.

Now we subtract 180 - 133 = 47.

The measure of angle two is 47 degrees.

Since the angle of measure three is 89 degrees, we need to add 89 + 49, which is 138 degrees.

180 - 138 = 42.

Answer:

The value of x is 138

By replacing the extreme score of 10 with 0, the mean and standard deviation will be affected and will become 5 and 2.68 and the original mean and standard deviation were 7 and 1.79 respectively.

a. Mean: To find the mean, sum all the scores and divide by the number of scores. For the given data (10, 6, 8, 6, 5), the sum is 35, and since there are five scores, the mean is 35/5 = 7.

Standard Deviation: To find the standard deviation, we first calculate the deviations of each score from the mean. The deviations are (10-7), (6-7), (8-7), (6-7), and (5-7), which are 3, -1, 1, -1, and -2, respectively.

Then, square each deviation, resulting in 9, 1, 1, 1, and 4. The average of these squared deviations is (9+1+1+1+4)/5 = 16/5 = 3.2. Finally, take the square root of the average squared deviation to get the standard deviation, which is √3.2 ≈ 1.79.

b. Changing the score of 10 to 0, the new data set becomes (0, 6, 8, 6, 5).

New Mean: The sum of the new data set is 0+6+8+6+5 = 25, and since there are still five scores, the new mean is 25/5 = 5.

New Standard Deviation: Following the same steps as before, the deviations from the new mean are (-5, 1, 3, 1, 0), which result in squared deviations of 25, 1, 9, 1, and 0.

The average of these squared deviations is (25+1+9+1+0)/5 = 36/5 = 7.2. Taking the square root of the average squared deviation gives the new standard deviation, which is √7.2 ≈ 2.68.

c. One extreme score, such as the initial score of 10, has a significant impact on both the mean and standard deviation. The mean represents the central tendency of the data, and when an extreme score is present, it pulls the mean towards it.

In this case, the mean decreased from 7 to 5 when the extreme score was changed to 0. The standard deviation measures the spread or variability of the data, and extreme scores can widen the spread.

Thus, by replacing the extreme score of 10 with 0, the standard deviation increased from 1.79 to 2.68, indicating a greater dispersion in the data.

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The opportunity cost of attending the dinner party would be $15, as it represents the potential earnings from the highest-paying job option among the three.

The opportunity cost refers to the value of the next best alternative that you forego when making a decision. In this scenario, if you choose to attend the dinner party instead of working, you are giving up the potential earnings from one of the job options.

The highest-paying job among the three options is the third job, which pays $15. Therefore, the opportunity cost of attending the dinner party would be $15. This means that by choosing to go to the party, you are forfeiting the opportunity to earn $15.

It is important to consider opportunity costs when making decisions, as they reflect the value of the alternatives that are being sacrificed. In this case, even though you may not have to pay for the dinner at the party, the opportunity cost is still present in terms of the potential income that could have been earned if you had chosen to work instead.

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In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

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Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

In the second graph, these points are located. As a result, the second graph is the function's correct graph.

In mathematics, the term "linear function" refers to two different but related ideas. In calculus and related fields, a quadratic variable of grade 0 or 1 is a linear function if its graph is a direct line. A straight line on a reference system is a representation of a linear function. For instance, the linear function y = 3x - 2 is a straight line just on coordinate plane, hence it is a linear function. Since f(x) may be connected to y, the function can be represented by f(x) = 3x - 2.

given

The function provided is

This function is defined for any x values that are positive, including 0.

The radical expression x has a constant positive value. Given that is a function, it is always negative.

At x=0, = 0

At x=1, = -4

At x=4, = -8

This indicates that the graph of the specified function traveling through the points (0,0), (1,-4) and (4,-8).

In the second graph, these points are located. As a result, the second graph is the function's correct graph.

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the value of the integral ∫[1, 5] h''(u) du is 4.

The Fundamental Theorem of Calculus states that if F(x) is an antiderivative of a function f(x) on an interval [a, b], then the integral of f(x) from a to b is equal to F(b) - F(a).In this case, we are given that h'' is 5 • f.° continuous everywhere. Therefore, we can denote h''(u) as 5f(u). To evaluate the integral h''(u) du, we need to find an antiderivative of 5f(u).

Since h'' is 5 • f.° continuous everywhere, we know that h'(u) is an antiderivative of 5f(u). Given the information h'(1) = 3 and h'(5) = 7, we can apply the Fundamental Theorem of Calculus:

∫[1, 5] 5f(u) du = [h'(u)]|[1, 5]

= h'(5) - h'(1)

= 7 - 3

= 4

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The probability that at least one person is vaccinated is 1 - (0.32), which is equal to 0.68.

To calculate the probability that at least one out of four randomly selected people has been vaccinated, we can use the complementary probability approach. The complementary probability is equal to 1 minus the probability of the event not occurring.

Given that 68% of the population has been vaccinated, the probability that an individual has been vaccinated is 0.68. Therefore, the probability that an individual has not been vaccinated is 1 - 0.68, which is 0.32.

Using the hint provided, we can calculate the probability that none of the four people have been vaccinated as (0.32) raised to the power of 4 since the events are independent and the probability of each event is 0.32.

So, the probability that at least one person is vaccinated is equal to 1 minus the probability that none of the four people are vaccinated. Thus, the probability is 1 - (0.32) = 0.68.

In summary, the probability that at least one out of four randomly selected people has been vaccinated is 0.68, given that 68% of the population has been vaccinated. This is calculated by subtracting the probability that none of the four people are vaccinated from 1.

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Using the normal distribution, it is found that the desired measures are given by:

a. Z = -0.67.

b. X = 2.2.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In item a, we have that \(X = 36, \mu = 40, \sigma = 6\), and want to find Z, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{36 - 40}{6}\)

Z = -0.67.

In item b, we have that \(\mu = 1.3, \sigma = 0.6, Z = 1.5\), and want to find X, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(1.5 = \frac{X - 1.3}{0.6}\)

X - 1.3 = 0.6 x 1.5

X = 2.2.

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