Find the solution Y=-3x-5 y=9x+7 and show on graph

Answer:

3

Step-by-step explanation:

Usually, when there is contamination the smallest amount can have huge ramifications in the data collected. In this scenario, if in a "clean" environment the trait is found in 2/10 frogs then anything above this number should be considered contaminated. This is because data above this ratio would be considered uncommon or rare and this unique occurrence can be most likely tied to the only new factor which would be the contamination. Therefore the minimum number of frogs with this trait in the sample would be 3.

Answer:

since 13 miles is 68640 i wood say 189 inches long from bumper to bumper. A mile is 5,280 feet (or 63,360 inches).

If 335 of these cars were parked with their bumpers touching, they would be almost exactly a mile long.

If your question refers to traffic jams, the answer will be a bit different, since cars in traffic jams don’t get that close together. I’m going to take a wild guess here, but let’s assume that there is a 4-foot gap between cars in our hypothetical traffic jam.  now put that in to 13 miles

Step-by-step explanation:

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer:

Step-by-step explanation:

\(f(x)=x^3+x^2\\\\g(x)=x^4+x^2+x\)

\(f(x)-g(x)=(x^3+x^2)-(x^4+x^2+x)=x^3+x^2-x^4-x^2-x\\\\=-x^4+x^3-x\\\\x=1\\\\-1^4+1^3-1=-1+1-1=-1\)

\(x=1\\\\f(1)=1^3+1^2=1+1=2\\\\g(1)=1^4+1^2+1=1+1+1=3\\\\f(1)-g(1)=2-3=-1\)

The mean score of all of these students together, rounded to 1 decimal place is 84.3

What is the mean score in each case?

The mean score in each test taken is the total scores of all students that took the test divided by the number of students, in essence, the total score is determined as the mean score multiplied by number of students

total score for 57 students=87.1*57

total score for 57 students= 4,964.7

total score for 10 students=68.6*10

total score for 10 students=686.0

mean score of all of these students together=(4,964.7+686.0)/(57+10)

mean score of all of these students together= 84.3

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By interpreting the vertex form of the equation of parabola, the focus of the curve is equal to F(x, y) = (2, 0). (Correct choice: D)

In this problem we find the equation of a parabola in standard form, which has to be rearranged into its vertex form in order to determine the coordinates of its focus.

The focus of a parabola is a point outside the curve such that the least distance from any point of the parabola and the least distance between that the point on the parabola and directrix are the same.

First, rearrange the polynomial into its vertex form by algebraic handling:

y = (1 / 8) · (x² - 4 · x - 12)

y + (1 / 8) · 16 = (1 / 8) · (x² - 4 · x - 12) + (1 / 8) · 16

y + 2 = (1 / 8) · (x² - 4 · x + 4)

y + 2 = (1 / 8) · (x - 2)²

y + 2 = [1 / (4 · 2)] · (x - 2)²

Second, determine the vertex and the distance between the vertex and the focus:

The parabola has a vertex of (h, k) = (2, - 2) and vertex-to-focus distance of 2.

Third, determine the coordinates of the focus:

F(x, y) = (h, k) + (0, p)

F(x, y) = (2, - 2) + (0, 2)

F(x, y) = (2, 0)

The focus of the parabola is equal to F(x, y) = (2, 0).

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

C

Step-by-step explanation:

The radius is 7, but in the standard form for a circle, the radius is squared which means that the answer is NOT A and B.

So now you have only two choices, C and D both of which have the radius shown as 49 which is 7 squared.

The center is at (5,-1)

that means that x will be written as (x - 5)

And y will be written as (y + 1)

Note: the signs of the center always change to the opposite of what they were.

The answer is (x - 5)^2 + (y  + 1)^2 = 49

1: The probability of collecting a specific dinosaur is very unlikely.

2: The number of spins that it takes before you had at least one of each dinosaur in

Trial 1 is: 25 spins

Trial 2 is: 14 spins

Trial 3 is: 25 spins

3: The  number of spins correlates to the boxes of cereal by giving you a good representation on how many you will need to buy to collect all the dinosaurs.

5: The difference between experimental and theoretical probability is the experimental results can be different the theoretical results.

6: If someone bought eight boxes of cereal and got all eight dinosaurs I would be very surprised.

7: The probabilities change by starting at 25 then 14 then back up to 25.

8: The advantages of of using a simulation is that you do not have to waste as much money.

1: The probability of collecting a specific dinosaur is very unlikely.

2: The number of spins that it takes before you had at least one of each dinosaur in Trial 1 is: 25 spins

The number of spins that it takes before you had at least one of each dinosaur in Trial 2 is: 14 spins

The number of spins that it takes before you had at least one of each dinosaur in Trial 3 is: 25 spins

3: The  number of spins correlates to the boxes of cereal by giving you a good representation on how many you will need to buy to collect all the dinosaurs.

4: The experimental probability for each dinosaur from Trial 1 is: 25 spins

Trial 2: 14 spins

Trial 3: 25 spins

5: The difference between experimental and theoretical probability is the experimental results can be different the theoretical results.

6: If someone bought eight boxes of cereal and got all eight dinosaurs I would be very surprised because getting it is only eight boxes is highly unlikely but not impossible.

7: The probabilities change by starting at 25 then 14 then back up to 25.

8: The advantages of of using a simulation is that you do not have to waste as much money.

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The spinner and description of how it works is as shown in the attached files.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. the area of shaded region is 15.728 inches square.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

The diameter of circle is 5, d=5

and the length of side of the equilateral triangle is 3.

to find the area of shaded region we need to find the area of circle and then we have to remove the area of triangle.

π(d/2)²-1/2×a²×sin60⁰

3.14(5/2)²-1/2×3²×√3/2

3.14×2.5²-1/2×9×√3/2

3.14×6.25 -1/2×9×0.866

3.14×6.25-7.794/2

3.14×6.25-3.897

19.625-3.897

15.728

Hence area of shaded region is 15.728 inches square.

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Answer:

10,000

Step-by-step explanation:

In each case it is 10000.

Answer:

10000, 10000, 10000

Step-by-step explanation:

When rounding, we just need to look at the first digit after the "rounding to" digit.

As follows: we adjust the bold digit according to the underlined digit.

In the first case, we need to round the last 9999 - so we round it up.

In the second case, we need to round 9999 - so we round it up.

In the third case, we need to round 9999 - we round up yet again.

Answer:

If you're saying Jan ate 1/4 of what was left. How much of the pie did Jan eat?

then the answer is 5/32

Step-by-step explanation:

The measure of the angle m∠AEB, found using the angle of intersecting secant theorem, where the measure of the arcs intercepted by the secants are m\(\widehat{AB}\) = 54°, and m\(\widehat{CD}\) = 66° is; m∠AEB = 6°

The angle of intersecting secant theorem states that the measure of the angle formed by the intersection of two secant is half the positive difference of the arcs intercepted by the secants.

Please find attached the possible drawing in the question, obtained based on the specified parameters and on similar questions on the internet, created with MS Word.

The parameters indicates that we get;

m\(\widehat{AB}\) = 54°

m\(\widehat{CD}\) = 66°

The angle of intersecting secants theorem indicates that we get;

m∠AEB = (1/2) × (m\(\widehat{CD}\) - m\(\widehat{AB}\))

Therefore;

m∠AEB = (1/2) × (66° - 54°) = 6°

m∠AEB = 6°

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Answer:

horizontal

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

x^2+5x-9-(7x+4)

x^2+5x-9-7x-4

x^2-2x-9-4

x^2-2x-13

The required scale factor for the scale model is 3 / 2 feet/inches.

Given that,
a scale model has a scale of 2 inches = 3 feet, to determine the scale factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The scale factor is defined as the ratio of modified change in length to length.

Here,
2 inches = 3 feet,
express that in the plan of the  3 feet of the original scale is 2 inches on the plan. So,
scale factor = 3 feet / 2 inches
Scale factor = 3 / 2 feet / inches

Thus, the required scale factor for the scale model is 3 / 2 feet/inches.

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Answer:

The answer is B

Step-by-step explanation:

it is in the middle, and in both triangles

Answer:

A. (A)

Step-by-step explanation:

The answer is A. A is the center of the dilation of the triangle

The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

Answer:

C 136

Step-by-step explanation:

2×68= 136

...........

....

Answer:

$18.28

Step-by-step explanation:

To complete this problem is a straightforward answer:

First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!

Answer: 1/5 can go into 37 , 185 times' .

Answer:

B & E

Step-by-step explanation:
All values of t must be positive
A viable solution is (10, 50)

got it right on edge

Answer:

Dark Blue

Step-by-step explanation:

The easiest way it to assume X = 0. This will make the parentheses equal to 1 in each equation. So, the Y value will be the number in front of the parentheses.

The first will make the point (0,27)

The solution for this system of equations is 10 and 100.

Based on the information provided above, Professor Maynard finished grading 20 assignments and is grading 8 more assignments per hour. Therefore, the total assignments, y, can be represented by this equation:

y = 8x + 20  .......equation 1.

where:

x represents the number of hours.

For his partner who can grade at a rate of 10 assignments every hour, the total assignments, y, can be represented by this equation:

y = 10x    .......equation 2.

By equating equation 1 and equation 2, we have the following:

8x + 20 = 10x

10x - 8x = 20

2x = 20

x = 10 hours.

For the y-value, we have:

y = 10x = 10(10) = 100 assignments.

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Answer:

Both will have graded 100 assignments. This would take 10 hours.

Step-by-step explanation:

P1                                 P2

H1: 28                         10

H2: 36                        20

H3: 44                        30

H4: 52                        40

H5: 60                        50

H6: 68                        60

H7: 76                        70

H8: 84                       80

H9: 92                      90

H10: 100                   100

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Answer: Then the magnitude of the force is 37.86N, and the direction is 54.35°

Step-by-step explanation:

We can write the forces as vectors.

We know that Annie pushes with a magnitude of 80N in a direction of 133° (Remember that the angles are always measured from the x-axis)

The components of this force, (Ax, Ay), are then:

Ax = 80N*cos(133°)

Ay = 80N*sin(133°)

And we know that Josie pushes with a magnitude of 95N in direction of 290°

The components of this force, (Jx, Jy), are:

Jx = 95N*cos(290°)

Jy = 95N*sin(290°)

When we add these forces, the total force acting on the ball is:

F = (80N*cos(133°) ,  80N*sin(133°)) + (95N*cos(290°), 95N*sin(290°))

F = (80N*cos(133°) + 95N*cos(290°), 80N*sin(133°) + 95N*sin(290°))

Now, the third kitten wants to do a force K, in a direction θ, such that the net force acting on the ball is zero.

Then we must have that, each component of the force of the third cat (K*cos(θ)  on the x-axis and k*sin(θ) on the y-axis), is such that:

K*cos(θ) + 80N*cos(133°) + 95N*cos(290°) = 0

k*sin(θ)  + 80N*sin(133°) + 95N*sin(290°) = 0

Now we need to solve that system for k and θ

if we simplify the equations we get:

k*cos(θ) - 22.07N = 0

k*sin(θ)  -30.76N  = 0

Now we can rewrite them as:

k*cos(θ) = 22.07N

k*sin(θ)   = 30.76N  

Now we can take the quotiet between both equations to get:

(k*sin(θ))/(k*cos(θ)) = 30.76N/22.07N

Tan(θ) = 1.394

θ = Atan(1.394) = 54.35°

Now that we know the angle, we can find the value of the magnitude k, by using one of the two equations of the system:

k*cos(54.35°) = 22.07N

k = 22.07N/cos(54.35°) = 37.86N

Then the magnitude of this force is 37.86N, and the direction is 54.35°

Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.