Anyone help me find the expand form in those questions (30 points).

z >1 for the given inequality for x.

To solve the following inequality for x.

-26 + 13z + 2 > 2 132

Since there is no x in this I'm assuming we are looking for z

Step 1: Simplify both sides

15r - 26 > -13z + 2

Step 2: Add 13z to both sides

15r - 26 + 13z > -13z + 2 + 13z

28 - 26 > 2

Step 3: Add 26 on both sides

28 - 26 + 26 > 2 + 26

28z > 28

Step 4: Divide both sides by 28z / 28 > 28 / 28

z > 1

Hence the answer is z >1 for the given inequality for x.

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Answer: b) rotation of 180°, reflection across y-axis

Step-by-step explanation:

The black triangle is in Quadrant IV.

A rotation of 180° will move it to Quadrant II.

The red triangle is in Quadrant I so  you must reflect it across the y-axis.

Answer:

$15

Step-by-step explanation:

For every $13 he earns he saves $5

so 13×3 is 39 and then multiply 5 times 3 and you get 15

your answer is $15

The probability of no earthquakes occurring in one year is approximately 0.000911881965. The probability that exactly three out of the next eight years will have no earthquakes , we can apply the binomial distribution.

The probability of no earthquakes occurring in one year in the given region of California, which follows a Poisson process with a rate of seven earthquakes per year, can be calculated using the Poisson distribution formula. The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence. In this case, the average rate is seven earthquakes per year. To calculate the probability of zero earthquakes in one year, we can use the formula:

P(X = 0) = e^(-λ) * (λ^0) / 0!

where λ is the average rate of occurrence. Substituting λ = 7 into the formula, we get:

\(P(X = 0) = e^{(-7)} (7^0) / 0!\)

The exponential term \(e^{(-7)\)evaluates to approximately 0.000911881965, and 0! is equal to 1. Therefore, the probability of no earthquakes occurring in one year is approximately 0.000911881965.

To find the probability that exactly three out of the next eight years will have no earthquakes, we can apply the binomial distribution. The binomial distribution describes the probability of a certain number of successes (no earthquakes) in a fixed number of independent trials (eight years) with a constant probability of success (the probability of no earthquakes in one year). In this case, the probability of no earthquakes in one year is the value we calculated earlier: approximately 0.000911881965. The formula for the binomial distribution is:

\(P(X = k) = C(n, k) p^k (1 - p)^{(n - k)\)

where P(X = k) is the probability of exactly k successes, C(n, k) is the number of combinations of n trials taken k at a time, p is the probability of success, and n is the total number of trials. Substituting k = 3, n = 8, and p = 0.000911881965 into the formula, we can calculate the probability.

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The mean and standard deviation of the distribution of R-S is

The mean is calculated by simply substracting the values

= mean R - means S

= 10 - 7

= 3

standard deviation, SD

standard deviation is solved by the use of radicals and this affects the solution hence it will not be simple subtraction, rather we solve back to remove the radical and hence we get the variance

= (SD, R)² + (SD, S)²

= 4² + 3²

= 16 + 9

= 25

the variance is 25

SD = √variance = √25 = 5

complete question

The distribution of random variable R has mean 10 and standard deviation 4. The distribution of random variable S

has mean 7 and standard deviation 3. If Rand S are independent, what are the mean and standard deviation of the

distribution of R-S?

A Mean 3 and standard deviation 1

B Mean 3 and standard deviation 5

C Mean 3 and standard deviation 7

D Mean 17 and standard deviation 1

E Mean 17 and standard deviation 5

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Answer:

\(\sf x =\dfrac{2}{3}\)

Explanation:

\(\sf \rightarrow \dfrac{x+1}{2} = \dfrac{7x-3}{2}\)

cross multiply

\(\sf \rightarrow 2(x+1) = 2(7x-3)\)

divide both sides by 2

\(\sf \rightarrow x + 1 = 7x-3\)

isolate variables

\(\sf \rightarrow x -7x = -3-1\)

simplify

\(\sf \rightarrow -6x = -4\)

divide both sides by -6

\(\sf \rightarrow \dfrac{-6x}{-6} = \dfrac{-4}{-6}\)

simplify

\(\sf \rightarrow x =\dfrac{2}{3}\)

Answer:

\(x=\dfrac{2}{3}\)

Step-by-step explanation:

Given equation:

\(\dfrac{x+1}{2}=\dfrac{7x-3}{2}\)

Step 1: Multiply both sides by \(2\).

\(\implies 2\left(\dfrac{x+1}{2}\right)=2\left(\dfrac{7x-3}{2}\right)\)

\(\implies x+1=7x-3\)

Step 2: Subtract \(7x\) from both sides.

\(\implies x-7x+1=7x-7x-3\)

\(\implies -6x+1=-3\)

Step 3: Subtract \(1\) from both sides.

\(\implies -6x+1-1=-3-1\)

\(\implies -6x=-4\)

Step 4: Divide both sides by \(-6\) and simplify.

\(\implies \dfrac{-6x}{-6}=\dfrac{-4}{-6}\)

\(\implies x=\dfrac{4}{6}=\boxed{\dfrac{2}{3}}\)

To go from circle A to B, we apply a translation of <-5, -5> and a dilation of scale factor k = 2.

The equation for circle A is:

(x + 2)^2 + (y - 4)^2 = 4^2 =  16

The equation for circle B is:

(x - 3)^2 + (y - 9)^2 = 8^2 = 64

So, if we start with circle B, we need to apply a translation of <-5, -5> to go to the center of B, then if we apply a dilation of scale factor K, the radius of the circle becomes 4*k.

Particularly of k = 2, we get:

4*2 = 8

So the scale factor k = 2 transforms the radius from 4 to 8.

Finally, if we apply these two transformations to circle A, we get circle B, which means that the circles are similar.

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Answer: B: Dilate circle A by a scale factor of 2.

Step-by-step explanation:

Circle B has a radius of 8 and circle A has a radius of 4. 8/4=2.

Answer:

The model will be 15 in. long

Step-by-step explanation:

x is the length of the model

so x/100 = 9/60

x = 100(9/60) = 15

Answer:

5/6 of a cup of brown sugar

Step-by-step explanation:

45 divided by 18 equals 2.5.

So, 2.5 times 1/3 of a cup equals 5/6 of a cup of brown sugar.

The number of cups of brown sugar needed is 5/6 cups.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The ratio of brown sugar to cookies is \(\frac{1}{3}\)  : 18. In order to determine the amount of brown sugar needed for 45 cookies, use this formula:

Number of cookies = (45 x  \(\frac{1}{3}\) ) / 18 = 15 / 18 = 5/6

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Answer: \(x+14y=109\)

Step-by-step explanation:

Given

The line passes through \((-3,8)\) and is perpendicular to the given line \(y=14x+12\)

Comparing \(y=14x+12\) with line \(y=mx+c\) to get the slope i.e. \(\text{Slope=}14\)

Suppose m is the slope of the required line

And the product of the slope of perpendicular lines is \(-1\)

\(\therefore 14(m)=-1\\\\\Rightarrow m=-\dfrac{1}{14}\)

The equation of the required line is

\(\Rightarrow \dfrac{y-8}{x+3}=-\dfrac{1}{14}\\\\\Rightarrow -14y+14\times 8=x+3\\\Rightarrow x+14y=112-3\\\Rightarrow x+14y=109\)

None of the given options is correct.

Answer:

x= -2635

Step-by-step explanation:

2 - 2197 - 10 x 44 = x

2- 2197 - 440 = x

-2635 = x

Answer:

x= -2635

Step-by-step explanation:

2 - 2197 - 10 x 44 = x

2- 2197 - 440 = x

-2635 = x

Answer:

\(y=40x+20\)

Step-by-step explanation:

Answer:

the answer is 3/4 trust me it is right

Step-by-step explanation:

The value of y is 11.

First-order equations are linear equations. The coordinate system defines the linear equations for lines. A linear equation in one variable is one in which there is only one variable and the equation has a homogeneous variable of degree 1. A direct condition can have more than one variable. On the off chance that the straight condition has two factors, it is called direct conditions in two factors.

Given equation  y = 3x - 1

value of x = 4

substitute value of x

y = 3(4) - 1

y = 12 - 1

y = 11

Hence the value of y is 11 at x = 4.

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The skew lines are CG, DH, AD, BC.

The parallel lines are  BC, EH, FG.

Two or more lines which have no intersections but are not parallel.

As, by the definition

The lines skew to EF is CG, DH, AD, BC

The parallel to AD is BC, EH, FG.

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Answer:

(k-w)/a = t

Step-by-step explanation:

k = at + w

Subtract w from each side

k-w = at + w-w

k-w = at

Divide each side by a

(k-w)/a = at/a

(k-w)/a = t

The critical numbers of the function \(\(g(\theta)\)\) on the interval \(\((0, 2\pi)\)\) are \(\(\frac{\pi}{3}\)\) and \(\(\frac{5\pi}{3}\)\).

To obtain the critical numbers of the function \(\(g(\theta) = 32\theta - 8\tan(\theta)\)\) on the interval \(\((0, 2\pi)\)\), we need to obtain the values of \(\(\theta\)\) where the derivative of \(\(g(\theta)\)\) is either zero or does not exist.

First, let's obtain the derivative of \(\(g(\theta)\)\):

\(\(g'(\theta) = 32 - 8\sec^2(\theta)\)\)

To obtain the critical numbers, we set \(\(g'(\theta)\)\) equal to zero and solve for \(\(\theta\)\):

\(\(32 - 8\sec^2(\theta) = 0\)\)

Dividing both sides by 8:

\(\(\sec^2(\theta) = 4\)\)

Taking the square root:

\(\(\sec(\theta) = \pm 2\)\)

Since \(\(\sec(\theta)\)\) is the reciprocal of \(\(\cos(\theta)\)\), we can rewrite the equation as:

\(\(\cos(\theta) = \pm \frac{1}{2}\)\)

To obtain the values of \(\(\theta\)\) that satisfy this equation, we consider the unit circle and identify the angles where the cosine function is equal to \(\(\frac{1}{2}\) (positive)\) or \(\(-\frac{1}{2}\) (negative)\).

For positive \(\(\frac{1}{2}\)\), the corresponding angles on the unit circle are \(\(\frac{\pi}{3}\)\) and \(\(\frac{5\pi}{3}\)\).

For negative \(\(-\frac{1}{2}\)\), the corresponding angles on the unit circle are \(\(\frac{2\pi}{3}\)\) and \(\(\frac{4\pi}{3}\)\)

However, we need to ensure that these angles fall within the provided interval \(\((0, 2\pi)\)\).

The angles \(\(\frac{\pi}{3}\)\) and \(\(\frac{5\pi}{3}\)\) satisfy this condition, while \(\(\frac{2\pi}{3}\)\) and \(\(\frac{4\pi}{3}\)\) do not. Hence, the critical numbers are \(\(\frac{\pi}{3}\)\) and \(\(\frac{5\pi}{3}\)\).

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Answer:

a

Step-by-step explanation:

we know that g(x) means y therefore in this case let's suppose we have the coordinate (5;y) so we must find the corresponding y value

*DO THE TRIAL AND ERROR METHOD*

take any equation above and substitute the value of x of which is 5 and the corresponding value should be 1.

\(g(x) = (\frac{1}{5} x) {}^{2} \)

The value of k that makes f(x) a probability density function is k = 1/9.

To determine the value of k that makes f(x) a probability density function, we must first determine if f(x) is non-negative and if its integral from negative infinity to infinity is equal to 1.

1. Since f(x) is non-negative for 0 ≤ x ≤ 3, we only need to check if f(x) is non-negative for x < 0 and x > 3.

2. f(x) = 0 for x < 0 and x > 3. Therefore, f(x) is non-negative for all x.

3. Now, we need to check if the integral of f(x) from negative infinity to infinity is equal to 1.

4. ∫(from -∞ to ∞) f(x) dx = ∫(from 0 to 3) k(3x − x^2) dx [since f(x) = 0 for x < 0 and x > 3]

5. ∫(from 0 to 3) k(3x − x^2) dx = k ∫(from 0 to 3) (3x − x^2) dx

6. ∫(from 0 to 3) (3x − x^2) dx = [3x^2/2 - x^3/3] (from 0 to 3) = 9

7. Therefore, ∫(from -∞ to ∞) f(x) dx = k ∫(from 0 to 3) (3x − x^2) dx = 9k

8. For f(x) to be a probability density function, ∫(from -∞ to ∞) f(x) dx = 1.

9. Therefore, 9k = 1

10. Solving for k, we get k = 1/9.

Therefore, the value of k that makes f(x) a probability density function is k = 1/9.

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Answer:

$16.57

Step-by-step explanation:

15.49 increase 7% =

15.49 × (1 + 7%) = 15.49 × (1 + 0.07) = 16.5743

7.77% of first graders will need developmentally appropriate math and English lessons.

Probability calculations assuming that freshmen entering a private institution have a 61% chance of not needing a math development course or an English development course, compared to 21% and 37%, respectively.

Therefore, the probability is equal to 0.21 x 0.

37, representing 7.77%.

We now know that there is a 7.77% probability that new students will need developmental mathematics and English studies courses.

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Length of the line

= \(\sqrt{((-2)-(-8))^{2}+(10-2)^{2} }\)

= \(\sqrt{36+64}\)

=\(\sqrt{100}\)

= 10

Hi! the answer to this question is C.

It will always be something in front of the square root as well. Since 45-45-90 has two congruent sides, the other legs will be equivalent to each other, except for the hypotnuse.

An example of what I mean below :). Hope this helps!

Answer:

I believe it is D.

Step-by-step explanation:

Hope it helps! =D

Answer:

Step-by-step explanation:

2

Answer:

70

Step-by-step explanation:

21 is 30 % so multiply 21 by 3 which is 63 and then divide 21 by 3 which is 7 and add the 7 to 63

In the given research design, there are three independent variables. The notation "2x2x4" represents the number of levels or conditions for each independent variable.

The first independent variable has two levels (2x), the second independent variable has two levels (2x), and the third independent variable has four levels (4). Each independent variable is manipulated or varied independently of the others in order to examine their effects on the dependent variable(s). Therefore, there are three independent variables in this 2x2x4 research design.

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We want to find the value of x, which is the hypotenuse of the triangle on the image.

We will see that the value of x is 5.77 units.

On the figure we can see a right triangle, we want to find the value of x, which is the hypotenuse of this triangle.

To do so, we can use the trigonometric relation:

cos(θ) = (adjacent cathetus)/(hypotenuse)

Where θ is an internal angle of the triangle, and the adjacent cathetus is the cathetus that forms the angle.

Here we can use θ = 30°, and the adjacent cathetus is the one that has a measure of 5 units,  then the value of x is given by the equation:

cos(30°) = 5/x

Solving that for x we will get:

x = 5/cos(30°) = 5.77

The hypotenuse measures 5.77 units.

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Answer:

It would take 6 minutes.

Step-by-step explanation:

720/2=360

360/60=

6

6 minutes

Step-by-step explanation:

Devide 720 with 2 to get 360 turn in minutes and u have it

The ratio by mass of copper to zinc in the alloy is 3:1.

To find the ratio by mass of copper to zinc in the alloy, we need to first calculate the total mass of the alloy. We can do this by adding the mass of copper and zinc:

Total mass of alloy = 13.5 g + 4.5 g = 18 g

Now we can find the ratio of copper to zinc by dividing the mass of copper by the mass of zinc:

Ratio of copper to zinc = 13.5 g / 4.5 g = 3:1

Therefore, the ratio by mass of copper to zinc in the alloy is 3:1.

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