the quotient of -9and y
show work

Answer:

Step-by-step explanation:

The answer is 10 because 7 + 3 equals 10!

This can be proven by adding 7 + 3 or by subtracting in a certain way.

7 + 3 = ?

7 + 1 = 8

7 + 2 = 9

7 + 3 = 10

You can show more work by subtracting your answer or 10 in this case, which means that you subtract 7 by 10 or 3 by 10, either way is ok.

If you subtract 7 by 10, ( 10 - 7 ) then you get 3

If you subtract 3 by 10, ( 10 - 3 ) then you get 7

If the number you subtracted matches the number that you didn't subtract, then your answer is correct.

Hope this helps! <3

The equation y + cos(y) = x + 1 defines a curve in the xy-plane. The curve represents the relationship between x and y values that satisfy the given equation.

The equation y + cos(y) = x + 1 is a transcendental equation, which means it does not have a simple algebraic solution. To study the curve defined by this equation, we can analyze it graphically or numerically.

By plotting points that satisfy the equation, we can observe the shape and behavior of the curve. The equation combines both algebraic terms (y and x) and trigonometric functions (cos(y)), resulting in a complex relationship between x and y values.

Therefore, the curve represents all the points (x, y) that satisfy the equation, forming a distinct pattern in the xy-plane.

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Answer:

x = ±√7, ±i√2

Step-by-step explanation:

\(x^4-5x^2-14=0\\(x^2-7)(x^2+2)=0\\\)

\(x^2 - 7 = 0\) or \(x^2 + 2 = 0\\\)

x^2 - 7 = 0

x^2 = 7

x = ±√7

or x^2 + 2 = 0

x^2 = -2

x = ±i√2

Answer:

\(\frac{-1}{2}ab^{12}\)

\(\frac{w^{10}}{3y^4}\)

Step-by-step explanation:

Given the expression;

\(\frac{-2a^2b^4}{4ab^{-8}}\\= \frac{-2}{4}*a^{2-1}b^{4-(-8)}\\= \frac{-1}{2}ab^{12}\)

Similarly for the expression;

\(\frac{-5w^4y^{-2}}{-15w^{-6}y^2}\\= \frac{-5}{-15}*w^{4-(-6)}y^{-2-2}\\= \frac{1}{3}w^{10}y^{-4} \\= \frac{w^{10}}{3y^4}\)

Answer:

A: 5 cm2

B: 9 3/8 cm2

Step-by-step explanation:

Question A:

4 x 1 1/4

4/1 x 5/4 = 20/4

20/4 = 5 cm2

Question B:

3 3/4 x 2 1/2

15/4 x 5/2 = 75/8

75/8 = 9 3/8 cm2

Answer:

Step-by-step explanation:

Jonah drove 3 h and 45 min,  or 225 minutes

He drove 240 miles

225 minutes...................................240 miles

60 minutes(1H)......................................? miles

(60*240)/225=64

he drove 64 miles per hour

Answer:

the correct answer is except 3:x=8:32

It seems that there is a typo in the question, as it says "triangle jkl is dilated with the orgin asm the center of dilation to create trianlge jkl".

It is not clear what the second triangle is supposed to be named. Assuming that the second triangle is named J'K'L', I will provide an answer. If triangle JKL is dilated with the origin as the center of dilation to create triangle J'K'L', the rule that represents the dilation is (x,y) → (kx,ky), where k is the scale factor of dilation.

In a dilation with the origin as the center of dilation, each point in the original figure is multiplied by a scale factor k to obtain the corresponding point in the dilated figure. So, for triangle JKL, the coordinates of each vertex are (x_J, y_J), (x_K, y_K), and (x_L, y_L), and for triangle J'K'L', the coordinates of each vertex are (kx_J, ky_J), (kx_K, ky_K), and (kx_L, ky_L). Therefore, the rule that represents the dilation is (x,y) → \((kx,ky)\), where k is the scale factor of dilation.

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The equation is obtained by considering the forces acting on the mass, including the force from the spring and the external force. The resulting eqn can be solved to find the position of the mass as a function of time.

To solve the problem, we start by considering Newton's second law of motion, which states that the sum of forces acting on an object is equal to its mass multiplied by its acceleration. In this case, the forces acting on the mass include the force from the spring and the external force.

The force from the spring is given by Hooke's law, which states that the force is proportional to the displacement from the equilibrium position. The force exerted by the spring is given by F_spring = -kx, where k is the spring constant and x is the displacement of the mass from the equilibrium position.

Considering the external force f(t) = 2 sin(2t), we can write the equation of motion as mx''(t) + kx(t) = f(t), where m is the mass of the object, x(t) represents the position of the mass as a function of time, and x''(t) represents the second derivative of x with respect to time.

Substituting the given values, m = 2 kg and k = 18 N/m, into the equation, we have 2x''(t) + 18x(t) = 2*sin(2t).

To solve this differential equation, we can use various methods such as the method of undetermined coefficients or the method of Laplace transforms. By solving the equation, we can find the expression for x(t) which represents the position of the mass as a function of time, considering the external force.

The detailed solution process involves solving the differential equation using the chosen method and obtaining the equation of motion, x(t), which represents the position of the mass as a function of time.

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Answer:

where is the question plsss tell

and send me ok

Length of segment JI is: C. 21.

Recall:

A perpendicular bisector is a segment that divides a segment into equal halves.

Thus:

JH divides GI into GH and HI

Therefore:

\(GH = HI = 15\)

Also, since JH in right triangle JHG = JH in right triangle JHI, therefore:

the third side, GJ in right triangle JHG, will equal the third side, JI in right triangle JHI.

GJ = JI = 21

Therefore, JI is 21.

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Answer:

C. 21

Step-by-step explanation:

I got it right one the test, also on the other side it says 21, and they're the same length, soo

∠WXY and ∠WVY are congruent and both are right angles, it implies that ∠X and ∠YZV are complementary angles. To prove that ∠X and ∠YZV are complementary, we can proceed as follows:

Given that triangle XWV is isosceles, we know that WX is congruent to WV.

Now, consider the line segment ZY that is perpendicular to YV. This implies that angles ∠YZV and ∠WYV are right angles.

Since WX and WV are congruent, we can conclude that triangles WXY and WVY are congruent by the hypotenuse-leg congruence criterion.

From congruent triangles WXY and WVY, we can infer that angles ∠WXY and ∠WVY are congruent.

Since ∠WXY and ∠WVY are congruent and both are right angles, it implies that ∠X and ∠YZV are complementary angles.

Hence, we have successfully proven that ∠X and ∠YZV are complementary.

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The solution to the inequality X-8>-3 is X > 5.

The inequality given to us is X-8>-3. This means that X-8 is greater than -3. To solve for X, we need to isolate X on one side of the inequality sign, while keeping the inequality true.

First, we can add 8 to both sides of the inequality to get X by itself:

X - 8 + 8 > -3 + 8

This simplifies to:

X > 5

So we have found that the solution to the inequality X-8>-3 is all values of X that are greater than 5.

In other words, X can take on any value greater than 5, but it cannot be equal to 5. If X is equal to 5, then the inequality becomes 5-8>-3, which is not true.

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Answer:the value of AC is 15

The answer is 1.72.

Division is splitting into equal parts or groups.

Given that 18.92 divided by 11

Let’s have a simple division.

18.92 : 11 = 1.72

Hence, 18.92 divided by 11 equal to 1.72

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Answer:

The simplified expression is given as

\(8x^2y^4(17x^2-2)\)

Step-by-step explanation:

step one:

Given the expression

\(x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\)

step two:

First, let us open the bracket we have

\(x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\\)

step three:

collect like terms we have

\(x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\\)

step four:

we can now factor out \(8x^2y^4\)we have

\(8x^2y^4(17x^2-2)\)

The multiplicative opposite of a number, say, N, is act for by 1/N or N-1. It is also called reciprocal, obtain from the Latin word ‘reciprocals ‘. The meaning of inverse is something which is converse.

The reciprocal of a number obtained is like that when it is multiplied by the original number, the value equals identity 1.

In other words, it is a method of dividing a number by its own to produce identity 1, such as N/N = 1.

When any number is multiplied by its particular multiplicative inverse, the resultant value is equal to 1.

multiplicative inverse of a is 1/a

(4/-7) =4/7

i.e., multiplicative inverse of 4/7 is -7/4.

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Answer:

1)

a. 5.29 cm

b. 17.8 m

c. 9.75 in

d. 12 cm

e. 8.31 ft

f. 25.46 m

Step-by-step explanation:

Have a good day :)

Answer:

To the "LEFT", so -6 is "LESS"

Step-by-step explanation:

-6 < -4

The expression 63.56 (-81.47) is equivalent to 63.56 - 81.47.

Option (A) is correct.

What is subtraction?

Subtraction is an arithmetic operation that involves finding the difference between two numbers. In mathematics, subtraction is represented by the minus sign (-).

To find the value of 63.56 (-81.47), we need to perform the arithmetic operation of subtraction. In this case, 63.56 is the minuend and -81.47 is the subtrahend.

The expression 63.56 (-81.47) is equivalent to 63.56 + (-81.47), which is equal to

The result of this subtraction is -17.91.

Hence, the expression 63.56 (-81.47) is equivalent to 63.56 - 81.47.

Option (A) is correct.

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Answer:

375$

Step-by-step explanation:

25*8 is 200, 575-200 is 375

As per the normal distribution, the probability that x is less than or equal to 38 is 0.9861.

Probability:

In math, probability denotes a  branch of mathematics concerning numerical descriptions of how likely an event is to occur.

Given,

Here let x be a normally distributed random variable with mean 5 and standard deviation 15. please express your answer as a number between 0 and 100. if you want to write 52%, please enter 52.

Here we need to find the probability that x is less than or equal to 28.

According to a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

Here first, we have to solve for the z-score using the formula below.

=> z-score = (x – μ) / σ

Here x refers the individual data value = 38

μ refers mean = 5

σ refers standard deviation = 15

Then when we apply the values on it, then we get,

=> z-score = (38 - 5) / 15

=> z-score = 33 / 15

=> z-score = 2.2

Then the probability that corresponds to the z-score in the z-table.

=> probability = 0.9861

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There are 311,875,200 ways to draw a poker hand of 5 cards from a 52-card deck where each card has a different number or face.

To calculate the number of ways a poker hand of 5 cards can be drawn from a 52-card deck where each card is a different number or face (ignoring suits), we can break down the calculation into steps:

Step 1: Selecting the first card:

Since we need each card to be a different number or face, we can choose the first card in any of the 52 available options.

Step 2: Selecting the second card:

After selecting the first card, there are now 51 cards remaining in the deck. For the second card, we need to choose a card that has a different number or face than the first card. This leaves us with 52 - 1 = 51 options.

Step 3: Selecting the third card:

After selecting the first two cards, there are now 50 cards remaining in the deck. For the third card, we need to choose a card that has a different number or face than the first two cards. This leaves us with 52 - 2 = 50 options.

Step 4: Selecting the fourth card:

After selecting the first three cards, there are now 49 cards remaining in the deck. For the fourth card, we need to choose a card that has a different number or face than the first three cards. This leaves us with 52 - 3 = 49 options.

Step 5: Selecting the fifth card:

After selecting the first four cards, there are now 48 cards remaining in the deck. For the fifth card, we need to choose a card that has a different number or face than the first four cards. This leaves us with 52 - 4 = 48 options.

To calculate the total number of ways, we multiply the number of options at each step:

Total number of ways = 52 * 51 * 50 * 49 * 48

Calculating this expression gives us: Total number of ways = 311,875,200

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For a quadratic equation, we start out seeking 2 solutions.

According to the statement

We have to find about the quadratic equation.

So, For this purpose, we know that the

Quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power

From the given information:

when we solve a quadratic equation, how many solutions should we always start out seeking.

Then

Here, we are required to search out out what number solutions to start out out seeking while solving a equation and also the condition for a quadratic graph not having zeros ( no x-intercepts).

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

And, a quadratic can haven't any zeros ( no x intercepts) if the roots of the equation are complex numbers.

A quadratic is one which has the very best degree of its variable ( usually x) to be 2.

Consequently, after we solve a quadratic, one should start out seeking two (2) solutions.

This is so because, the quantity of solutions to begin out seeking corresponds with the very best power of the experimental variable, X.

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

Therefore, where X¹ occurs in an equation, it's linear and consequently has 1 solution.

And, where X² occurs in an equation, it's quadratic and consequently has 2 solutions.

It is possible to possess a quadratic with no zeros (i.e no x-intercepts).

So, For a quadratic equation, we start out seeking 2 solutions.

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Answer:

The ratio of the areas of the design and the poster is

(12*9):(48*36) = 1:16

Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).

The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.

To calculate the X-coordinate of the center of gravity, we use the formula:

Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)

Similarly, for the Y-coordinate:

Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)

Substituting the given values:

Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92

Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08

Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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The probability is 0.96 that a randomly selected camper does not like to have a cookout, based on the given information and the complement rule of probability.

To determine the probability that a randomly selected camper does not like to have a cookout, we need to find the complement of the event C (the event that the camper likes to have a cookout).

Looking at the Venn diagram, we see that the probability of event C is 0.04 (represented by the intersection of circles C and A). Therefore, the probability of the complement of event C (not liking to have a cookout) is equal to 1 minus the probability of event C.

1 - 0.04 = 0.96

Hence, the probability that a randomly selected camper does not like to have a cookout is 0.96.

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