I really need help!!​

Step-by-step explanation:

the general equation of a parabola is

y = a(x – h)² + k.

(h, k) is the vertex of the parabola.

comparing it to

y = 3(x + 4)² - 2

we see that (h, k) = (-4, -2).

the student made a sign mistake. it is "- h" in the squared factor. so, "+4" indicates "-4" as "h".

but the student simply used "+4".

Answer:

5x-7-5+X=5-x-5+X

or,6x-12=0

or,6x=12

or,X=12/6

:.X=2

Answer:

2 1/4

Step-by-step explanation:

I know bc its basic math

In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.

The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.

In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.

Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.

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The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

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Step-by-step explanation:

Answer:

LatTisha works as a Lifeguard

Zack works as a clerk at a grocery store

Steve works as a food server

Mitchel is a construction worker

Step-by-step explanation:

The parameters of the question are;

The names of the four friends are; LaTisha, Zack, Steve, and Michelle

The jobs found are; Food server, Lifeguard, Construction worker, and Clerk at a grocery store

1. The food server person likes his work

2. Zack and the lifeguard have known each other for years

3. Mitchel and the lifeguard are outside most of the time

4. LaTisha and the person working construction met on their job last summer

5. Neither Zack nor the food server worker worked last summer

We have;

Using known names,

Famale names are; LaTisha and Michelle

Male names are; Steve and Zack

Therefore

The food server worker is a guy, not Zack but  likely Steve

Mitchel works outdoors, therefore, she works in the other outdoor employment which is construction

The remaining two occupations are;

Lifeguard and Clerk at a grocery store

Given that Zack is not the lifeguard, we have;

Zack is the clerk at a grocery store

LatTisha is the Lifeguard

The answer is C: A power model would best represent the relationship because scatterplot C is fairly linear.

In this the rate of change of the dependent variable is proportional to the power of the independent variable. In other words, when the independent variable increases, the dependent variable increases at a rate that is proportional to the power of the independent variable. This type of model is often used to describe phenomena such as population growth, economic growth, and physical processes such as diffusion.

When looking at the graph of scatterplot C, it is clear that the relationship between time and volume follows a power model.

The data points in the graph are fairly linear, meaning that as the log of time increases, the log of volume increases at a rate that is proportional to the power of the log of time.

This indicates that a power model would best represent the relationship between time and volume, making C the correct answer.

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Answer:

the obvious

Step-by-step explanation:

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

The dimensions of the garden, when the family has enough money to buy 140 ft of fencing, is 70 ft by 35 ft and the area is 2450 sq. ft.

To find the dimensions that would produce the maximum area for the garden, we need to use the concept of optimization.

Let's assume that the family wants to fence in a rectangular area of their yard for the vegetable garden.

Since one side is already fenced from the neighbor's property, we only need to fence the other three sides. Let's call the length of the garden x and the width y. Therefore, the perimeter of the garden would be P = x + 2y.

We know that the family has enough money to buy 140 ft of fencing, so we can set up an equation:

x + 2y = 140

Solving for x, we get:

x = 140 - 2y

To find the maximum area, we need to maximize the equation A = xy.

Substituting the value of x from the above equation, we get:

A = (140 - 2y)y

Expanding the equation, we get:

A = 140y - 2y²

To find the maximum area, we need to find the value of y that maximizes the equation. We can do this by taking the derivative of the equation with respect to y and setting it equal to zero:

dA/dy = 140 - 4y = 0

Solving for y, we get:

y = 35

Substituting this value of y back into the equation for x, we get:

x = 140 - 2(35) = 70

Therefore, the dimensions that would produce the maximum area for the garden are 70 ft by 35 ft.

To find the maximum area, we can substitute these values back into the equation for A:

A = (70)(35) = 2450 sq. ft.

Therefore, the maximum area of the garden is 2450 sq. ft.

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There is sufficient data to conclude that contemporary males are taller than 18th century males​ ,The p-value is less than 0.00001. There is sufficient data to reject the null hypothesis.

X = 70.1 represent the sample mean

σ = 2.52 represent the population standard deviation  

n = 30 is  sample size  

μ = 65.2 represent the value that we want to test

∝, represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

pₙ represent the p value for the test (variable of interest)  

We need to conduct a hypothesis in order to check if the mean is higher than 65.2, the system of hypothesis would be:  

Null hypothesis: μ ≤ 65.2

Alternative hypothesis: μ > 65.2

If we analyze the size for the sample is = 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t = X - μ / σ/√n = 10.65

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And the best conclusion for this case would be:

The p-value is less than 0.00001. There is sufficient data to reject the null hypothesis.

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For Expression A, a strategy could be to use the distributive property and then using the fact that the unit can be written in any fraction. To evaluate we have the following:

For Expression B, we can see that 3/7 is the common factor of both summands, so we can use again the distributive property (but in the inverse way) and then add the two fractions that have the same denominator. We have:

SOLUTION :

c² = 5² + 5²

c² = 25 + 25

c² = 50

c = √50 ft

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Answer:

Step-by-step explanation:

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Yes, it is possible for three vectors of different magnitudes to add up to zero.

For three vectors to add up to zero, their magnitudes and directions must be carefully chosen. The vectors can have different magnitudes but must be arranged such that their sum cancels out.

To illustrate this, let's consider three vectors A, B, and C. Each vector has a different magnitude but when combined, their sum results in zero.

Let's say vector A has a magnitude of 3 units, vector B has a magnitude of 2 units, and vector C has a magnitude of 1 unit. To achieve a zero resultant vector, we can arrange these vectors in the following way:

Vector A is directed to the right with a magnitude of 3 units.

Vector B is directed to the left with a magnitude of 2 units.

Vector C is directed upwards with a magnitude of 1 unit.

By carefully choosing the directions and magnitudes, the sum of these vectors will be zero. Vector A cancels out the leftward component of vector B, and vector C cancels out the downward component of the resultant vector formed by A and B.

Therefore, it is possible for three vectors of different magnitudes to add up to zero if their directions and magnitudes are appropriately chosen to cancel each other out.

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Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, subtraction, multiplication, and division.

-x² + 3x +3 is the domain of all real numbers.

Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, subtraction, multiplication, and division.

Let the two functions be f and g then f(x) = 3x - 2 and g(x) = x² + 1.

we have to calculate (f - g)(x)

Which is equivalent to:

(f - g)(x) = f(x) - g(x)

Taking the two functions and substituting them into this expression, we get,

f(x) - g(x) = (3x - 2) - (x² + 1)

simplifying the above function, we get

f(x) - g(x) = 3x - 2 - x² - 1

(f - g)(x) = -x² + 3x - 2 - 1

Therefore, (f - g)(x) = -x² + 3x +3

We must also determine the domain of the new function. However, because this is a second-order function with no denominators, logarithms, or roots, there are no restrictions on the value of x; thus, the domain is all real numbers.

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Evaluating the integral-  \(\int_0^1 (u+2)(u-3) du\) we get the simplified answer = -37/6.

Let's evaluate the integral as follows -

\(\int_0^1 (u+2)(u-3) du\)

now lets multiply the expression and we will get,  

\(= \int_0^1 u^2-u-6 d u\)

Distributing the integrals to each expression.

\(= \int_0^1 u^2 d u+\int_0^1-u d u+\int_0^1-6 d u\)

By the Power Rule, the integral of \($u^2$\) with respect to u is  \($\frac{1}{3} u^3$\).

\(= \left.\frac{1}{3} u^3\right]_0^1+\int_0^1-u d u+\int_0^1-6 d u\)

Since -1 is constant w.r.t u, move -1 out of the integral of the second term.

\(= \left.\frac{1}{3} u^3\right]_0^1 -\int_0^1u d u+\int_0^1-6 d u\)

By using the power rule, the integral of \($u^2$\) w.r.t to u is \($\frac{1}{2} u^2$\)

\(= \left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{1}{2} u^2\right]_0^1\right)+\int_0^1-6 d u\)

Let's Combine \($\frac{1}{2}$\) and \($u^2$\).

\(= $$\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+\int_0^1-6 d u$$\)

Now, apply the constant rule,

\(= $$\left.\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+-6 u\right]_0^1$$\)

Substituting the limits and simplifying we get,

= -37/6

Hence, the simplified answer for the given integral \(\int_0^1 (u+2)(u-3) du\) is -37/6.

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The complete question is-

Evaluate the integral-  \(\int_0^1 (u+2)(u-3) du\).

in standard form, 7 (10°) + 4 (10-3) + 5 (10³) is equal to 5. 04 × 10 ^3

Standard form is simply a value with an exponential powerl

Given the values;

It is important to note that any number to the power of O is equivalent to 1

So, we have

10^ 0 = 1

4( 10^-3) = 37

5(10^3) = 5000

Now, let's substitute the values

(10°) + 4 (10-3) + 5 (10³)

It is equivalent to

⇒1 + 4 × 10^-3 + 5 × 10^3

⇒1 + 37 + 5000

Add the values

= 5038

Let's convert it to standard form, we have

= 5. 04 × 10 ^3

Thus, in standard form, 7 (10°) + 4 (10-3) + 5 (10³) is equal to 5. 04 × 10 ^3

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Answer:

it's 10

Step-by-step explanation:

i searched it up.

Answer:

70% is approximately the answer

Step-by-step explanation:

135 x 2 = 270

310 - 270 = 40

35 out of 40 is 7/8.

The answer should be approx 70, I can not make sure.

Answer:b

Step-by-step explanation:

Answer:

answer is 1/2

Step-by-step explanation:

Answer:

17.1

Step-by-step explanation:

Plug in -1 for x, this gets you -4.

Solve 2^-4 and get .0625.

Add .0625 to 17 and get 17.0625.

The question says answer to the nearest tenth so you round the 6 up to a 1 giving you 17.1

Answer:

9.33 feet = 111.96 inches

Step-by-step explanation:

If we have similar triangles, the rate between matching sides is the same.

So the length of the smaller ladder (18 ft) over the length of the taller ladder (24 ft) is equal to the distance from the bottom of the smaller ladder to the tree (7 ft) over the distance from the bottom of the taller ladder to the tree (x ft):

18 / 7 = 24 / x

x = 7 * 24 / 18

x = 9.33 feet

To find this measure in inches, we just need to multiply by 12:

x = 9.33 * 12 =  111.96 inches

Answer:

Step-by-step explanation:

13 feet 6 inches

In the problem given:

W + 15x - 9y + 2z

The term are single mathematical expressions that separate values.

In the expression, there is a + and -; these concludes 2 terms.

There are 3 coefficients next to each variable.

The coefficients are 15x, -9y, and 2z.

That means there are 3 coefficients.

Cheers

- ROR

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

____________________________________

\( \large \tt Solution \: : \)

Term refers to each variable or constant separated by a mathematical operator.

Coefficient refers to the numberic part of variable or a constant number present in an expression.

\(\qquad \tt \rightarrow \: 12a - 10b + 6\)

\( \large\textsf{Terms :} \)

\( \texttt{coefficient = 1} \)

\( \texttt{coefficient = 15} \)

\( \texttt{coefficient = -9} \)

\( \texttt{coefficient= 2} \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Option A is correct. If segment DC bisects segment AB, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. This can be obtained using perpendicular bisector theorem.

Perpendicular bisector theorem : In a plane, if we choose a point, say D, on the perpendicular bisector,say PQ, drawn from segment, say AB, then the point D is equidistant from the endpoints, that is A and B, of the segment.

That is, perpendicular bisector PQ of line segment AB is the line with         Q = 90° and Q is the midpoint of AB ⇒ AQ = BQ. A point on PQ say D is equidistant from A and B ⇒AD and BD.

Thus in the given question we can use perpendicular bisector theorem.

Here DC is the perpendicular bisector of the line segment AB and therefore AD and BD are equal.

Hence it is clear that Option A is correct.

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Answer:

8(7-p)

Step-by-step explanation:

pull out greatest common factor

Answer:

336 sponsers

Step-by-step explanation:

3＋(3×3)

=3+9

=12

for the 4th week：

12×7=84

84×4=336