solve x= √x+7 +5
check for extraneous solutions

(pls show work)

Answer:

Since the sample size is increased, the variability will decrease.

Step-by-step explanation:

took the quiz

Answer:

x=12

Step-by-step explanation:

cause then when u add them it's bigger than 17

The Canal's price/earnings ratio is 2.92.

To calculate Canal's price/earnings ratio, we need to find the earnings per share (EPS) first. The EPS can be calculated by dividing the net income by the weighted average number of common shares outstanding.

The weighted average number of common shares outstanding can be calculated as follows:

Weighted average number of common shares outstanding = Total number of common shares - Weighted average number of treasury shares

Weighted average number of common shares outstanding = 24,200 - 4,200 = 20,000

EPS = Net income / Weighted average number of common shares outstanding

EPS = $260,000 / 20,000 = $13

Finally, the price/earnings ratio can be calculated by dividing the market price per share by the EPS:

Price/earnings ratio = Market price per share / EPS

Price/earnings ratio = $38 / $13 = 2.92

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The approximate 90% confidence interval for this situation is given as follows:

(70244, 70632).

The bounds of the confidence interval are given by the rule presented as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

From the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.645.

The parameters are given as follows:

\(\overline{x} = 70438, \sigma = 645.3, n = 30\)

The lower bound of the interval is given as follows:

\(70438 - 1.645 \times \frac{645.3}{\sqrt{30}} = 70244\)

The upper bound of the interval is given as follows:

\(70438 + 1.645 \times \frac{645.3}{\sqrt{30}} = 70632\)

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Answer:

Bree hikes for 4 kilometers per hour

Answer:

D

Step-by-step explanation:

x represents time and y represents disrtance in relation to time.

(when you look at 1 sec you can tell that the y value is 4 meaning that the realtion is y=4x)

Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Answer:

I think its 2nd one

HOPE IT HELPS, BE SAFE! Brainiest if possible pls! :)

The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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Answer:

x = 1 , x = 13

Step-by-step explanation:

(x - 7)² = 36 ( take square root of both sides )

x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )

x = 7 ± 6

then

x = 7 - 6 = 1

x = 7 + 6 = 13

Answer:

y=42/15x+8

Step-by-step explanation:

We can get the change in height with 50-8, or 42. Now we divide, so 42/15. I'm assuming this is a slope question, so it would be y=42/15x + 8. Let me know if this is the way you want the answer.

Answer:

x=8+(number of feet/number of months)

Step-by-step explanation:

The best question that describes what we need to determine is; If we are to examine the proportion of the students at their campus who still lives at home with their parents, how likely is that proportion to be more than 36%.

Suppose we assume that p should be the proportion of the American Millennials who still live at home with their parents.

Then, we can Mathematically express the Null Hypothesis as well as the Alternative Hypothesis as:

\(\mathbf{H_o:p=0.36}\)

\(\mathbf{H_a:p>0.36}\)

In Statistical Analysis, if the P-value < level of significance; we would reject the H_o and accept Ha.

The sample size n=300 is to large to compute the Z-test.

The P-value from the data given = 0.006 which is less than level of significance.

However, since the P-value < level of significance; then there is sufficient evidence to reject H_o. Thus, we conclude that p > 0.36

Therefore, we can conclude that the best question that describes what we need to determine is; If we are to examine the proportion of the students at their campus who still lives at home with their parents, how likely is that proportion to be more than 36%.

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Answer:

The equation is;

y = -1/4x + 607.5

Step-by-step explanation:

Let us have the number of drops as y axis while the number of minutes is x axis

The points to use are;

(30,600) and (130,575)

The slope can be calculated using;

m = (y2-y1)/(x2-x1)

= (575-600)/(130-30) = -25/100 = -1/4

So the equation as we model using the normal equation of a straight line (y = mx + c, m is slope and c is the intercept)

y = -1/4x + c

To get c, we simply substitute one point

Let us use (30,600)

We have

600 = -1/4(30) + c

600 + 7.5 = c

c = 607.5

So the equation is ;

y = -1/4x + 607.5

The value of y = 9/2

How to determine this

Inverse Proportion occur when one quantity increases, the other decreases. It is said to be in inverse proportion if an decrease in one leads to a decrease in the other quantity and a decrease in one leads to an decrease in the other quantity.

Let x and y be two quantities and assume that x is decreasing when y is increasing and vice versa.

The formula is,

If y is inversely proportional to x

= y ∝ 1/x

y = k/x

where y = 3

x = 9

3 = k/9

cross multiply

k = 27

Given x = 6 and y = ?

where y = k/x

y = 27/6

y = 9/2

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Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

A.

Step-by-step explanation:

Recall, SOHCAHTOA.

Reference angle = Z

Opposite = 35

Adjacent = 12

Hypotenuse = 37

Sin Z = Opp/Hyp

Therefore,

Sin z = 35/37

1. 81

2. 2 4/25

3. 2⁵×3

4. 2,040

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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The secant of an angle in a right triangle is given by the quotient of the length of the hypotenuse to the length of the side adjacent to it:

On the coordinate plane, the point (5,12) detmines a right triangle with sides 5 and 12:

Use the Pythagorean Theorem to find the length of the hypotenuse:

Therefore, the exact value of secθ is:

Answer:

M = 11

Step-by-step explanation:

M - 14 = -3

M - 14 + 14 = -3 + 14

M = 11

Answer:

\( \sf \: M = 11 \)

Step-by-step explanation:

Now we have to,

→ Find the required value of M.

The equation is,

→ M - 14 = -3

Then the value of M will be,

→ M - 14 = -3

→ M = -3 + 14

→ M = 14 - 3

→ [ M = 11 ]

Hence, the value of M is 11.

Answer:

$8.78 per pair

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the complete factorization of x³ +4x² -4x -16.

Pairing terms of the given polynomial, we have ...

  (x³ +4x²) -(4x +16)

Factoring each pair gives ...

  x²(x +4) -4(x +4)

  = (x² -4)(x +4)

The factorization of x² -4 is found using the form for factoring the difference of squares:

  a² -b² = (a +b)(a -b)

  x² -4 = (x +2)(x -2)

Note that x+2 is a factor here.

The complete factorization of the given polynomial is ...

  x³ +4x² -4x -16 = (x +4)(x +2)(x -2)

This is confirmed by the graph, which shows zeros at x = -4, -2, 2.

Answer:

B is incorrect

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1 ten is 1 there is no hundred nor 1 making 10 the whole value = 100%