Kayty please help me!
What's the square root?

A function is a mapping from domain to range. The domain of the function \(y = \sqrt{x+6} - 7\) is given as: \(x \geq -6\) or \(x \in [-6, \infty)\) (both are same)

One method of finding the domain of a function is to start by finding the values for which it isn't defined.

Assuming that the function  \(y = \sqrt{x+6} - 7\) is defined for only real numbers, then, as we know that:

\(\sqrt{x}\) exists only if x is non-negative, which means for  \(\sqrt{x+6}\) to be defined, we need

\(x + 6 \geq 0\\x \geq -6\)

No other way is there for the function to be non-existing.

Thus, the values on which the function is defined is all real numbers bigger or equal to -6. This is the domain of the given function.

Thus,  the domain of the function \(y = \sqrt{x+6} - 7\) is given as: \(x \geq -6\) or \(x \in [-6, \infty)\) (both are same)

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Answer:

Its B

Step-by-step explanation:

Answer:

1) x=1/2-y/2-3z

2)x= 16/3- 2y/3- 5z/3

3)x= 11/7- 3y/7+ 4z/7

Step-by-step explanation:

isolate the variable, to do that divide each side by the factors that don't contain the variable

A Type I error is the incorrect rejection of a true null hypothesis. A Type II error is the failure to reject a false null hypothesis. The level of significance (alpha) determines the trade-off between these two types of errors.

The p-value is used to help determine whether or not the null hypothesis is statistically significant, which is used to make decisions based on sample data. If the p-value is less than or equal to the alpha level, it is considered significant, and the null hypothesis is rejected.

If the p-value is greater than the alpha level, it is not significant, and the null hypothesis is not rejected. Large p-values indicate that there is insufficient evidence to reject the null hypothesis. An alpha level is the probability of making a Type I error, which is the likelihood of rejecting the null hypothesis when it is true. The level of alpha is determined by the researcher and is usually set at 0.05 or 0.01.

For a result to be statistically significant, it means that it is unlikely that the result occurred due to chance. The significance level (alpha level) must be lower than the p-value to consider the result significant.

A 95% confidence interval corresponds to a two-sided hypothesis test at an alpha level of 0.05. A 90% confidence interval corresponds to a one-sided hypothesis test at an alpha level of 0.1.A Type I error is the incorrect rejection of a true null hypothesis. A Type II error is the failure to reject a false null hypothesis. The level of significance (alpha) determines the trade-off between these two types of errors.

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Answer:

C

Step-by-step explanation:

Area of circle = \(\pi r^2\)

15/2 = 7.5

7.5 = radius

Plug 7.5 into the formula:

\(\pi 7.5^2\) = 176.71

Closest answer to 176.71 = 176.625

Answer would be C.

The total rental charge in dollars for Trenton's trip for 9 days covering 670 miles will be $639.15.

To compute the total rental charge for the Trenton trip, we calculate the total charges by days and the total charges by miles and then add these together.

For example, the total charges by day are $508.50 ($56.50 x 9), while the total charges by miles are $130.65 (670 x $0.195).

Summing these two charges will give the total charge for the trip.

The number of days for the rental trip = 9 days

Total miles for the trip = 670 miles

Charge per day = $56.50

Charger per mile = $0.195 (19¹/₂ cents)

Total charge = $639.15 {($56.50 x 9) + (670 x $0.195)}

Thus, the total rental charge in dollars for Trenton's trip for 9 days covering 670 miles will be $639.15.

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Answer:

a=-2

Step-by-step explanation:

3a−6=−12

Step 1: Add 6 to both sides.

3a−6+6=−12+6

3a=−6

Step 2: Divide both sides by 3.

3a/ 3 = −6/ 3

a=−2

Answer:

So i think it woulds be a 12 by 12 house beceasue 9+3=12 so it would be 12 by 12

Hope This Helped Sorry if It Is Not What You Wanted.

Answer:

144 ft ²

Step-by-step explanation:

Given:

A tiny house has a length of 12 feet. the width of the kitchen is 9 feet ad the width of the bathroom is 3 feet.

Solve:

The expression 12(9+3) represents the total area in square feet.

Hence you can use the expression 12(9+3) to find the area.

12(9+3)        {Solve in the parentheses}

12(12)           {Multiply}

= 144

Hence, the area is 144 ft ²

Kavinsky

Answer:

ldk

Step-by-step explanation:

Answer:

304 in^2

Step-by-step explanation:

to find the area of the octagon (basically a regular polygon) you need to use this formula.

area of octagon = perimeter × apothem/2

a = 64 × 9.5/2

a = 608/2

a = 304

all u have to do now is add ur units and boom, ur answer is 304 in^2!

The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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Use the direct comparison test to determine the convergence or divergence of the series, [infinity]∑n=0 7^n/8^n+ 5 ≤ [infinity]∑n=0 7^n/8^n. The series converges.

To use the direct comparison test, we need to find a series whose terms are smaller than the given series and which we know to converge or diverge.

Note that for n ≥ 0, we have:

7^n / 8^n+5 ≤ 7^n / 8^n

This is because 8^n+5 is greater than 8^n, so dividing by the larger denominator gives a smaller result.

Now, we know that the series:

[infinity]∑n=0 7^n/8^n

converges, since it is a geometric series with ratio 7/8 which is less than 1.

Therefore, by the direct comparison test, the given series:

[infinity]∑n=0 7^n/8^n+5

must also converge, since each term is smaller than the corresponding term in the convergent series.

Hence, we can conclude that:

[infinity]∑n=0 7^n/8^n+ 5 ≤ [infinity]∑n=0 7^n/8^n

and therefore, the given series converges.

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Answer: The graph of function g(x) is shifting down by 3 (vertical shift) because the -3 is not part of x but y (the whole graph). Originally there is no y-intercept and the f(x) function crosses the origin, but now there is a y-intercept at (0, -3)

You may determine the greatest potential error, relative error, and percentage error by defining the volome and area of a cube.

The maximum volume mistake is 337.5 cm3.

The volume's relative inaccuracy is 0.1.

The inaccuracy is 10% of the total.

The largest surface area error is 90 cm2.

The surface area relative error is 0.0667.

The volume inaccuracy as a percentage is 6.67%.

Side3 = volume (side x side x side).

The exponent times the base raised to the power minus one makes up the derivative of a power.

In other words, the derivative of a number x raised to the power n is equal to n times xn1.

The volume expression is then obtained by deriving it as follows:

dV/dx=3×side²

So:

dV=3×side²×dx

With a potential measuring error of 0.5 cm, the edge of a cube was discovered to be 15 cm long. This means that side is 15 cm and dx is 0.5 cm. You get: by substituting in the previous expression:

dV = 3 (15 cm) 2 (0.5 cm)

dV=337.5 cm³

The maximum volume mistake is 337.5 cm3.

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Multiply the fractions 5/3 and 3/4:

5/3 · 3/4 = 15/12 = 5/4

in comparisson with 3/4, you can notice 5/4 has a greater numerator, then:

5/3 x 3/4 is greater than 3/4

Answer:

B

Step-by-step explanation:

The y-intercept (which is 2 in this case) represents the initial value. In this context that means the number of pears at the start.

Answer:

x=3

Step-by-step explanation:

- 3 on both sides

2x=6

divide by 2 on both sides

x=3

Answer:

x = 3

Step-by-step explanation:

\(2x+3=9\)

Subtract 3.

\(2x=9-3\\2x=6\)

Divide by 2.

\(x=\frac{6}{2}\\ x=3\)

Answer:

is it from the text book

Step-by-step explanation:

Answer:

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

Find the area of the wall:

Find the price of  wallpaper:

30° is the angle of elevation from the base to the top of the mountain.

Trigonometric ratios are the ratios of the length of sides of a triangle.

These ratios in trigonometry state the relation between the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.

The other important trig ratios, cosec, sec, and cot, can be derived using the sin, cos, and tan respectively.

Sin θ = Perpendicular / Hypotenuse

According to the question,

Perpendicular = Vertical height of Mountain. = 1290 m

Hypotenuse    = The distance from the top of the mountain to the base                               of the Mountain. = 2580 m

⇒ Sin θ = 1290/ 2580

⇒ Sin θ = 1/2⇒ θ = Sin⁻¹(1/2)

⇒ θ = 30°

Hence, 30° is the angle of elevation from the base to the top of the mountain.

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Answer:

the side = the radius for a hexagon.

so, area = 6 times the area of one equilateral triangle of side 4.

Step-by-step explanation:

6(3x-2)=18x+6

18x-12=18x+2

18x-18x=2-12

0 =-10

0

Answer:

This equation does not exist.

Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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Answer: A. 23

23 - Width

23x2 = 46

46+3 = 49

So..

49 - Length

lx2+wx2 = perimeter

49x2 = 98

23x2 = 46

98+46 = 144

The width of the television will be 23 inches. Then the correct option is A.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular television is 3 inches longer than its width. The display has a 144-inch perimeter. Then the equation is given below.

L = 2W + 3                  ...1

144 = 2(L + W)            ...2

From equations 1 and 2, then have

144 = 2(2W + 3 + W)

72 = 3W + 3

3W = 69

W = 23 inches

The width of the television will be 23 inches. Then the correct option is A.

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The given system of equations has a unique solution if p is not equal to 2. If p is equal to 2 and q is equal to 4, the system has infinitely many solutions.Therefore, the correct answer is (a) 1 correct.

The given system of equations is:

2x - y = 4

px - y = q

To determine if the system has a unique solution, we need to analyze the coefficients of x and y.In the first equation, the coefficient of y is -1. In the second equation, the coefficient of y is also -1.If the coefficients of y are equal in both equations, the system may have infinitely many solutions. However, if the coefficients of y are different, the system will have a unique solution.

Now, we consider the options:

a) 1 correct: This statement is correct. If p is not equal to 2, the coefficients of y in both equations will be different (-1 in the first equation and -1 in the second equation), and thus the system will have a unique solution.b) 2 correct: This statement is correct. If p is equal to 2 and q is equal to 4, the coefficients of y in both equations will be the same (-1 in both equations), and therefore the system will have infinitely many solutions.

c) 1 and 2 correct: This statement is incorrect because option 1 is true but option 2 is only true under specific conditions (p = 2 and q = 4).d) 1 and 2 are false: This statement is incorrect because option 1 is true and option 2 is also true under specific conditions (p = 2 and q = 4).

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Answer:

first take common

2(a+b)=c2

a+b=c

so,

if tha value of a+b is c

then

2(a+b)=c2

2×c=c2

c2=c2

proved

Answer:

the missing side value is 6.7.

Step-by-step explanation:

so the Pythagorean theorem is a^2+b^2=c^2, but since we are missing the b slide the equation now is 7^2-2^2=b^2. now you may not understand why we are missing the b side. so in the Pythagorean theorem, the a and b slides dont really matter, as long as the c side is the hypotenuse, or the longest slide in a triangle. so 7squared is 49, 2 squared is 4, so 49-4= 45, but its 45squared because the equation is c^2-a^2=b^2 so now we know that 45 is b squared, we just have to square root 45, to get about 6.7.

Answer:

Domain

Step-by-step explanation:

Answer:

6.4*10³

Step-by-step explanation:

Divide 6,400 by 1,000 to get 6 into the ones place.

6,400/1000=6.4

1000 is 10*10*10 so use an exponent to simplify it.

10³

multiply the two products

6.4*10³