Triangle NMO is drawn with vertices N(−4, −2), M(−1, −1), O(−4 , −5). Determine the image coordinates of N′M′O′ if the preimage is translated 7 units to the left.

A- N′(3, −2), M′(6, −1), O′(3, −5)
B- N′(−4, −9), M′(−1, −8), O′(−4, −12)
C- N′(−4, 5), M′(−1, 6), O′(−4, 2)
D- N′(−11, −2), M′(−8, −1), O′ (−11, −5)

Answer:

0,0,0,1,1, 2, 4

Step-by-step explanation:

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(a) The interpret the p-value in context of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower.

(b) The conclusion would make if a 0.05 is rejected because the p-value (0.0016) is less than the significance level.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01.

(a) The p-value of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower, assuming that the true population mean is 12 g/dl (or higher), is only 0.0016. This suggests that the observed difference between the sample mean and the hypothesized population mean is statistically significant and unlikely to be due to chance alone.

(b) If using a significance level of 0.05, the null hypothesis (that the true population mean is 12 g/dl or higher) would be rejected because the p-value (0.0016) is less than the significance level. Therefore, it can be concluded that the sample provides evidence that the true population mean hemoglobin level is lower than 12 g/dl.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01. In this case, the evidence is even stronger, and the conclusion that the true population mean is lower than 12 g/dl would be even more robust.

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To prove that 0 · x = 0 for every x ∈ R, we first note that for any element a ∈ R, we have a · 0 = 0 by the distributive property of multiplication over addition.

Therefore, setting a = x and using the fact that R is a ring, we have:
x · 0 = (x + 0) · 0 - 0 · 0 = x · 0 - 0 = x · 0
which implies that 0 · x = 0, since R is a commutative ring.
Next, to prove that −x = (−1) · x for every x ∈ R, we recall that −x is defined as the additive inverse of x, i.e., the unique element y ∈ R such that x + y = y + x = 0. We also recall that −1 is the additive inverse of 1 in R, i.e., 1 + (−1) = (−1) + 1 = 0. Then, using the distributive property of multiplication over addition, we have:
(−1) · x + x = (−1) · x + 1 · x = (−1 + 1) · x = 0 · x = 0
which implies that (−1) · x is the additive inverse of x, i.e., (−1) · x = −x, as desired. Therefore, we have shown that 0 · x = 0 and −x = (−1) · x for every x ∈ R.

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Answer:

The HCF of these polynomials is (p+2q).

Step-by-step explanation:

First of all, we need to factorize each polynomial:

a) \(p^{2}+4pq+4q^{2}\)

\(=p^{2}+4pq+(2q)^{2}\)

\(=(p+2q)^{2}\)

b) \(p^{4}+8pq^{3}\)  

\(=p(p^{3}+8q^{3})\)

\(=p(p^{3}+(2q)^{3})\)

\(=p(p+2q)(p^{2}-2pq+(2q)^{2})\)

c) \(3p^{4}-10p^{2}q^{2}+p^{3}q\)

\(=p^{2}(3p^{2}-10q^{2}+pq)\)

\(=p^{2}(3p-5q)(p+2q)\)

Therefore, the HCF of these polynomials is (p+2q).

I hope it helps you!

Answer: 10.2 cm

Step-by-step explanation:

We can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's call the unknown length of the other leg "x". Then we can set up the following equation:

4^2 + x^2 = 11^2

Simplifying this equation, we get:

16 + x^2 = 121

Subtracting 16 from both sides, we get:

x^2 = 105

Taking the square root of both sides, we get:

x = sqrt(105)

x ≈ 10.2 cm (rounded to the nearest tenth)

Therefore, the measure of the other leg is approximately 10.2 cm.

a^2 +b^2 =c^2

7.

4^2+17^2=c^2

16+289=c^2

305=c^2

To undo the square you have to square root so

Sqr rt of 305 =17.46

8. 24 sqrd =576

52 sqrd=2704

2704+576=3280

Sqr rt of 3280 =57.27

The range of possible lengths for the third side in the first and the second case will be greater than 21 cm and 76 feet, respectively.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The third side of the triangle must be greater than the sum of the other two sides.

A)  4 cm and 17 cm, then the third side (a) of the triangle is given as,

a > 17 + 4

a > 21 cm

The range of possible lengths for the third side will be greater than 21 cm.

B)  24 ft and 52 ft, then the third side (b) of the triangle is given as,

b > 24 + 52

b > 76 ft

The range of possible lengths for the third side will be greater than 76 ft.

The range of possible lengths for the third side in the first and the second case will be greater than 21 cm and 76 feet, respectively.

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Answer:

3

Step-by-step explanation:

Since we know x = -2 we can plug it into the equation

3*-2^2+5*-2+1

Solve!

3*-2^2+5*-2+1 = 3

Hope this helps!

Answer:

true

Step-by-step explanation:

.............................

Answer:

the answer is 41

Step-by-step explanation:

set both equations equal to each other

then add 9 to the opposite side

next subtract 6 from the other side

divide 20 by 4 and get 5

finally plug 5 into the equation for x for angle 1

which leaves you at the end with 41

The width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

Let's represent the width of the pool as x. Then, the length of the pool would be x + 6.

The total area of the pool and walk is given by:

Total area = (length + 2(4)) × (width + 2(4))

Total area = (x + 6 + 8) × (x + 4)

Total area = (x + 14) × (x + 4)

The area of the pool itself is given by:

Pool area = length × width

Pool area = x(x + 6)

Pool area = x² + 6x

We're told that the total area is 272 more than the area of the pool:

Total area = Pool area + 272

(x + 14) × (x + 4) = x² + 6x + 272

Expanding the left side of the equation:

x² + 18x + 56 = x² + 6x + 272

Simplifying the equation:

12x = 216

Solving for x:

x = 18

So the width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

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Full Question: A rectangular pool is surrounded by a walk 4 feet wide. The pool is six feet longer than its wide. If the total area is 272 ft² more than the area of the pool,what are the dimension of the pool?

Answer:

1/4

Step-by-step explanation:

when k=99

=>99=100-4n

=>4n=100-99

=>4n=1

=>n=1/4

Answer:

-0.375

Step-by-step explanation:

you just divide the numbers.

Considering only this customer's premiums, deductible, and claims, the break-even period after which the customer could make a $10,000 claim for property damage without the insurance company suffering a loss is 15 months.

At this break-even period, the company will not make a profit or a loss.

Data and Calculations:

Monthly insurance premium payable = $600 (assumed to be paid monthly)

Deductible on the insurance policy = $1,000

Minimum coverage = 30/50/10

Coverage for injury or death to one person = $30,000

Coverage for injury or death to two or more people = $50,000

Coverage for damage to property = $10,000

Average accidents every year = 2

Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)

Break-even period = 15 ($10,000 - $1,000)/$600

This break-even period is computed by deducting the deductible from the claim that the customer makes, and then dividing the result by the monthly insurance premium.

Thus, the customer could make a $10,000 claim for property damage without the insurance company suffering a loss after 15 months' break-even period.  

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10x²-6x-6 is the answer

The exact value of cscθ is (35 * √(1190)) / 1190.

To find the value of cscθ (cosecant θ) given that cosθ = 1/√35 and sinθ < 0, we can use the reciprocal relationship between sine and cosecant.

Recall that cscθ is the reciprocal of sinθ. Since sinθ is negative, we can determine its value based on the quadrant in which θ lies.

In the unit circle, the cosine is positive in the first and fourth quadrants, while the sine is negative in the third and fourth quadrants.

Given that cosθ = 1/√35 and sinθ < 0, we can conclude that θ lies in the fourth quadrant.

Using the Pythagorean identity, sinθ = √(1 - cos^2θ), we can calculate the value of sinθ:

sinθ = √(1 - (1/√35)^2)

     = √(1 - 1/35)

     = √(34/35)

     = √34 / √35

     = (√34 / √35) * (√35 / √35)     [Multiplying numerator and denominator by √35 to rationalize the denominator]

     = √(34 * 35) / 35

     = √(1190) / 35

Now, since cscθ is the reciprocal of sinθ, we have:

cscθ = 1 / sinθ

     = 1 / (√(1190) / 35)

     = 35 / √(1190)

     = (35 * √(1190)) / 1190.

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A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

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Step 1: Calculate the percentage accuracy for both Round 1 and Round 2

For Round 1, the percentage accuracy will be

For round 1, the percentage accuracy is 75%

For Round 2,the percentage accuracy will be

For Round 2, the percentage accuracy is 80%

Therefore, with the calculation above we can conclude that on the comparison,

Sasha threw more accurately in Round 2 because she hit the target on a higher percentage of her throws.

Hence,

The correct answer is OPTION D

Answer:

Sasha threw more accurately in Round 2 because she hit the target on a higher percentage of her throws.

Step-by-step explanation:

Answer:

SA = 200π cm²

Step-by-step explanation:

The surface area is calculated as

SA = area of base + area of curved surface

     = πr² + πrs ( r is the radius and s the slant height )

Using Pythagoras' identity in the right triangle to find s

s² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )

s = \(\sqrt{289}\) = 17

SA = π × 8² + π × 8 × 17

      = 64π + 136π

      = 200π cm²

This hyperbola has a vertical transverse axis, with center at (3, -2), vertices at (3, 8) and (3, -12), and foci at (3, 4) and (3, -6).

How to solve the question?

To find the equation of the hyperbola, we will use the standard form equation:

((y-k)²/a²) - ((x-h)²/b²) = 1

Where (h,k) is the center of the hyperbola, a is the distance from the center to the vertices along the transverse axis, and b is the distance from the center to the vertices along the conjugate axis.

From the given information, we know that the center of the hyperbola is at (3, -2), and that the transverse axis is vertical. This means that the vertices are located at (3, -2 + a) and (3, -2 - a), where a is the distance from the center to the vertices.

We are also given that the perimeter of the graphing aid rectangle is 32. Since the graphing aid rectangle is formed by the four points that are furthest from the center (i.e. the four vertices of the hyperbola), we can use this information to find a.

Letting b/a = 5/3, we know that b = (3/5)a. Using the fact that the perimeter of the graphing aid rectangle is 32, we can set up the equation:

2a + 2b = 32

Substituting b = (3/5)a, we get:

2a + 2(3/5)a = 32

Solving for a, we get:

a = 10

Now that we have a, we can find b:

b = (3/5)a = 6

Thus, the equation of the hyperbola is:

((y + 2)²/100) - ((x - 3)²/36) = 1

This hyperbola has a vertical transverse axis, with center at (3, -2), vertices at (3, 8) and (3, -12), and foci at (3, 4) and (3, -6).

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Answer:

No, Jeremy can not find the cost of the sneakers by adding the percents, you have to math one sale discount at a time.

The answer is $45.90.

Step-by-step explanation:

You have to multiply $60 by 15%, getting $9. Subtract 9 from 60 and get the first discount price: $51. Then you will multiply 51 by `10% and get 5.1, subtract 5.1 from 51 and get your final sale price of $45.90. If you added the percents together you would get an incorrect value of $45. Close but not the correct answer.

By definitions of volume and flow rate, it will take a time of 10 minutes to fill the tank to a height of 50 centimeters.

Herein we find the case of a rectangular tank being filled with water at constant flow are, which is dimensionally speaking, volume by time. We know that dimensions of the tank are described in centimeters, whereas flow rate is described in liters per minute. Please notice that a liter is equal to 1000 cubic centimeters:

t = [(80 cm) · (60 cm) · (50 cm) · (1 L / 1000 cm³)] / (24 L / min)

t = 10 min

By definitions of volume and flow rate, it will take a time of 10 minutes to fill the tank to a height of 50 centimeters.

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Answer:

Step-by-step explanation:

A real-world relationship that could be considered a function is the height of a function after x days, hence:

The input is the number of days.

The output is the height of the tree.

Following the function given by the table at the end of the answer, the input that produces an output of 11 is:

y = 0.5.

credits to joaobezerra

Answer:

99

Step-by-step explanation:

That quadrilateral equals to 360. So i had to add the numbers which equal 261. Then i did 360-261=99.

Answer:

99,that is the answer!!!!!!!!

Answer:

P(A) = f / N

Step-by-step explanation:

Probability determines the likelihood of an event occurring: P(A) = f / N. Odds and probability are related but odds depend on the probability. You first need probability before determining the odds of an event occurring.

Answer:

0.20

Step-by-step explanation:

Since the rest of the choices are greater then 22

Answer:

1. m∠CGB=120

3. m∠AGD=90

5. m∠CGD=150

2. m∠BGE=60

4. m∠DGE=30

6. m∠AGE=120

Step-by-step explanation:

Sorry that they are out of order.

Answer:

1. m∠CGB=120°

2.m∠BGE=60°

3.m∠AGD=90°

4.m∠DGE=30°

5.m∠CGD=150°

6.m∠AGE=120°

Step-by-step explanation:

My work is scatterbrained so I'm not gonna be any help if I give an explanation.

The average cost function is C(x) = 5000x + 20,000/x, where x is the number of machines used in the production. The critical value is C(x) = 20,000 and it happens when x = 2.

If we have a function f(x), the critical point happens when its first derivative is equal to zero.

             f '(x) = 0

In the given problem, the function is:

C(x) = 5000x + 20,000/x

Take the derivative:

C '(x) = 5000 - 20,000/x² = 0

5000 x² = 20,000

x² = 4

x = ±2

Since x is within the interval: 0<x<∞, the solution is x = 2

Substitute x = 2 into the function:

C(2) = 5000 (2) + 20000/2

C(2) = 10000 + 10000 = 20,000

Hence, the critical value is C(x) = 20,000 and it happens when x = 2.

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Answer:

100

Step-by-step explanation:

its impossable

The new volume of the cylinder is $100$ cubic feet.

Let the original radius and height of the cylinder be $r$ and $h$, respectively. Therefore, the original volume of the cylinder is given by $\pi r^2 h = 100$. After the radius decreases by $10%$ and the height increases by $10%$, the new radius and height become $0.9r$ and $1.1h$, respectively. The new volume of the cylinder can be calculated as $\pi (0.9r)^2 (1.1h) = 0.891\pi r^2 h$. Since $0.891\pi r^2 h = 100$, the new volume of the cylinder is $100$ cubic feet.

Therefore, the new volume of the cylinder is the same as the original volume, i.e., $100$ cubic fee

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The equation of a line is:

\( \displaystyle \large{y - y_1 = m(x - x_1)}\)

Since the line has to be parallel to line y = 4x+1. Hence, m = 4.

\( \displaystyle \large{y - y_1 = 4(x - x_1)}\)

Given point is (1,1). Let this be the following:

\( \displaystyle \large{(x_1,y_1) = (1,1)}\)

Substitute the point in.

\( \displaystyle \large{y - 1 = 4(x - 1)}\)

Convert the equation in a slope-intercept form or function form.

First, distribute 4 in the expression.

\( \displaystyle \large{y - 1 = 4x - 4}\)

Add 1 on both sides.

\( \displaystyle \large{y - 1 + 1 = 4x - 4 + 1} \\ \displaystyle \large{y = 4x - 3}\)

Hence, the line that is parallel to y = 4x+1 and passes through (1,1) is y = 4x-3