Factor. ​9x^2+42xy+49y^2​
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Answer:

you would have $160

Step-by-step explanation:

13+10+30+100+7= 160

The total amount $160 he have.

Given that,

He had amount already = $13

His mom gave him = $10

His dad give him = $30

His aunt and uncle give him = $100

He had another amount = $7

We have to determine,

How much amount he have..

According to the question,

To obtain the amount he had add all the amounts.

Therefore,

Total amount he had = He had amount already + Her mom gave him + His dad gave him + His aunt and uncle give him + He had another amount.

Total amount he had = $13+ $10+ $30+ $100 + $7

Total amount he had = $160

Hence, The required amount he had is $160.

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Answer:

d = 47°

Step-by-step explanation:

Image is attached

Sum of angles drawn along a straight line = 180°:

The angle drawn in pink : 180° - 112° = 68°

The angle drawn in green: 180° - 66° = 114°

The angle drawn in yellowish orange: 180° - 23° = 157°

The angle marked in purple: 180° - 102° = 78°

The figure drawn in the center is a 5-sided irregular pentagon

∴ Sum of interior angles in a 5-sided polygon = (n - 2) ×180°

                                                                            = (5 - 2) × 180°

                                                                            = 540°

The four angles calculated above will assist in calculating the fifth remaining angle of the pentagon (which is marked in light blue):

   68° + 114° + 78° + 157° + angle in light blue = 540°

Angle in light blue = 540° - 68° - 114° - 78° - 157°

                               = 123°

Sum of angles drawn along a straight line = 180°:

Angle marked in dark blue = 180° - 123°

                                                = 57°

Now focus on the angles present inside the triangle

Sum of interior angles of a triangle = 180°

= d + 76° + 57° = 180°

d has to be isolated and made the subject of the equation:

d = 180° - 76° - 57°

d = 47°

Answer:

D. A positive association between hours studied and test score.

Step-by-step explanation:

The scatter plot appears to have an upward trend.

Answer:

your answer is 8

Step-by-step explanation:

6/3/4 = 6×4/3 = 8

Answer: 21, 28

Step-by-step explanation:

Use the Pythagorean Theorem \(a^{2}+b^{2}=c^{2}\):

Substitute in the values & solve:

\(x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21\)

-28 is not a possible solution since you can't have negative inches...

Answer:

I think the constraint of proportionality is 25 because each dot it increases buy 25.

I also believe that at 10 the total should be at 225.

For this study, we should use a one-sample t-test.

In order to determine if average salary is less for single people, a one-sample t-test is most appropriate. The sample size of 68 single people who were surveyed is sufficient to conduct a statistical analysis.

The null hypothesis for this test will be that there is no significant difference between the average salary of single people and the average salary of the overall population in the city which is $43,000.

Using a significance level (alpha) of 0.10, we will compare sample mean of $39,892 to the population mean of $43,000. The standard deviation of $8,480 from the sample will be used to estimate the population standard deviation.

By conducting the one-sample t-test, we will know if observed difference in average salary is statistically significant at the 0.10 level of significance.

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The value of investment P at any time t is given by the function P(t) = 1500e^(2t). This equation shows that the value of investment P grows exponentially with time, with a rate of growth proportional to its instantaneous value.

The given differential equation, dP/dt=rP, implies that the instantaneous rate of change of the value of investment P is proportional to its value at any given time. Here, r is the proportionality constant, which is equal to 2. If P(0) = 1500, it means that the initial value of investment P was 1500 units.
To find the value of P at any time t, we need to solve the differential equation. Integrating both sides, we get:
ln(P) = rt + C
where C is the constant of integration. To determine the value of C, we can use the initial condition P(0) = 1500. Substituting t = 0 and P = 1500 in the above equation, we get:
ln(1500) = r(0) + C
C = ln(1500)
Thus, the equation for the value of investment P at any time t is given by:
ln(P) = 2t + ln(1500)
P(t) = e^(2t+ln(1500))
Simplifying the above equation, we get:
P(t) = 1500e^(2t)
Therefore, the value of investment P at any time t is given by the function P(t) = 1500e^(2t). This equation shows that the value of investment P grows exponentially with time, with a rate of growth proportional to its instantaneous value.

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Answer:

Following are the responses to this question:

Step-by-step explanation:

This question required the choices, so the correct option can be described as following:

In option a: In 2 hours, the passenger is 725 miles away.

In option b: The length is stable at 3 hours, 880 miles.

In option c: The overall distance to home is 1,062.5 miles after 6 hours.

Answer:

Following are the responses to this question:

Step-by-step explanation:

This question required the choices, so the correct option can be described as following:

In option a: In 2 hours, the passenger is 725 miles away.

In option b: The length is stable at 3 hours, 880 miles.

In option c: The overall distance to home is 1,062.5 miles after 6 hours.

Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

you have to drive approximately 0.372 miles to gain an additional 160 ft of elevation.

First, we need to convert the distance driven to feet, as the elevation change is given in feet. Since 1 mile is equal to 5,280 feet, we have:

Distance driven = 1.20 miles * 5280 ft/mile = 6,336 ft

Now, we can find the angle of the road using trigonometry. The tangent of an angle is equal to the opposite side (change in elevation) divided by the adjacent side (distance driven). Let's denote the angle as θ.

Tangent(θ) = opposite/adjacent

Tangent(θ) = 520 ft / 6,336 ft

To find the angle, we can take the inverse tangent (arctan) of both sides:

θ = arctan(520 ft / 6,336 ft)

Using a calculator, we find that θ ≈ 4.63 degrees.

Therefore, the angle of the road above the horizontal is approximately 4.63 degrees.

To find how far you have to drive to gain an additional 160 ft of elevation, we can set up a proportion using the given information:

(Change in elevation) / (Distance driven) = (Additional elevation) / (Additional distance driven)

520 ft / 1.20 miles = 160 ft / x

To solve for x (additional distance driven), we can cross-multiply and solve for x:

520 ft * x = 160 ft * 1.20 miles

x = (160 ft * 1.20 miles) / 520 ft

x ≈ 0.372 miles

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Answer:

This is gebber gabber but yes

Step-by-step explanation:

The equilibrium points of the system Un+1 = c - dun, for all possible values of c and d, can be found by setting Un+1 equal to Un, and solving for Un. The equilibrium points are Un = c/(1 + d), where c and d are any real numbers.

To determine the equilibrium points of the system Un+1 = c - dun, we need to find the values of Un where the equation Un+1 = Un holds true.

1. Setting Un+1 equal to Un, we have:

  Un = c - dun.

2. Rearranging the equation, we get:

  Un + dun = c.

3. Factoring out Un, we have:

  Un(1 + d) = c.

4. Dividing both sides by (1 + d), we obtain the equilibrium points:

  Un = c/(1 + d).

Therefore, the equilibrium points of the system Un+1 = c - dun, for all possible values of c and d, are Un = c/(1 + d), where c and d are any real numbers.

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The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

The graph of the parametric equations x(t) = -t and y(t) = t^2 - 4 represents a parabolic curve that opens upwards. The x-coordinate, given by -t, decreases linearly as t increases.



On the other hand, the y-coordinate, t^2 - 4, varies quadratically with t.

Starting from the point (-3, 5), the graph moves in a left-to-right orientation as t increases. It reaches its highest point at (0, -4), where the vertex of the parabola is located. From there, the graph descends symmetrically to the right, eventually ending at (3, 5).

The orientation of the graph indicates that as t increases, the corresponding points move from right to left along the x-axis. This behavior is determined by the negative sign in the x-coordinate equation, x(t) = -t. The opening of the parabola upwards signifies that the y-coordinate increases as t moves away from the vertex.Overall, the graph displays a symmetric parabolic curve opening upwards with a left-to-right orientation.

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Answer:

the answer for this question is 15/14

to find area the formula is area = l×b

here length is 1 1/4 and breadth is 3/4 so l×b = 1 1/4=5/4 so 5/4×3/4=15/14

Answer:

6400

Step-by-step explanation:

We have 1 + 3 + 5 + ... + 155 + 157 + 159.

We can use Gauss's strategy.

Since we are adding 80 numbers, there are 40 pairs. Each pair adds up to 1 + 159 = 160. (Notice that 3 + 157, 5 + 155 = 160)

Thus, because there are 40 pairs and each pair adds up to 160, we have 160 * 40 = 6400.

I hope this helps!

Answer:

a=5; b=2

Step-by-step explanation:

\(a = 3 + b \\ 3 + b + b = 7 \\ b = 2\)

\(a = 2 + 3 = 5\)

(i) The pdf of random variable X is:

\(fx(x) = {2bx e^{(-bx^2)}\), x > 0

0, x < 0

(ii) The pdf of Y is:

\(fy(y) = b\sqrt y / e^{(by)} , y > 0\)

0, y ≤ 0

(i) To find the probability density function (pdf) of X, we need to take the derivative of the cumulative distribution function (cdf) with respect to x.

For x > 0, we have:

\(Fx(x) = 1 - e^{(-bx^2)}\)

Differentiating both sides with respect to x gives:

fx(x) = d/dx Fx(x) = \(d/dx [1 - e^{(-bx^2)}] = 2bx e^{(-bx^2)}\)

For x < 0, we have:

Fx(x) = 0

Differentiating both sides with respect to x gives:

fx(x) = d/dx Fx(x) = d/dx [0] = 0

Therefore, the pdf of X is:

\(fx(x) = {2bx e^{(-bx^2)}\), x > 0

{0, x < 0

(ii) To find the pdf of \(Y = X^2\), we can use the transformation method. The transformation function is \(g(x) = x^2\).

We have:

Fy(y) = P(Y ≤ y) = P(\(X^2\) ≤ y) = P(-√y ≤ X ≤ √y) = Fx(√y) - Fx(-√y)

Differentiating both sides with respect to y gives:

fy(y) = d/dy Fy(y) = d/dy [Fx(√y) - Fx(-√y)]

= (1/2y) fx(√y) - (-1/2y) fx(-√y)

\(= (1/2y) 2b\sqrt y e^{(-by)}\)

= \(b\sqrt y / e^{(by)}\)

Therefore, the pdf of Y is:

\(fy(y) = b\sqrt y / e^{(by)} , y > 0\)

0, y ≤ 0

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Answer:

9.2929

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Hope this helps!

Answer:

80%

Step-by-step explanation:

We Know

There are 260 students at the rally.

208 students are wearing purple.

What percent are wearing purple?

We Take

208 divided by 260, time 100 = 80%

So, 80% students wearing purple.

Answer:

15

Step-by-step explanation:

Square area of 225 square feet what is the length of each side.Step 1. Area A=s^2 for a square where s is the side.Step 2. Take the square root to both sides of the equation Step 3: The side is 15 ft for each side.

Answer:

C

Step-by-step explanation:

Edge 2020

Answer:

Step-by-step explanation:

n(AUB)=n(A)+n(B)-n(A∩B)

greatest intersection of (A∩B)=65

n(A∪B)=80+65-65=80

so least value of n(A∪B)=80

Answer:

14 servings

Step-by-step explanation:

4 3/4 = 19/4

19/4 ÷ 1/3

19/4 × 3

57/4

14 1/4 serving if just want one solid answer its 14

Answer:

Step-by-step explanation:

Given that the ratio is 1:3

concentrate =1

water=3

the total =3+1=4

using the part to all method

1/4=x/32

cross multiply

4x=32

divide both sides by 4 we have

x=32/4

x=8

Therefore the amount of concentrate is 8 cups