The point P has coordinates (-2,6).The point M has coordinates (5,6)
M is the midpoint of P Q .Find the coordinates the point Q

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

From the question, we are to determine how much money there are in each box

From the given information,

"Debbie has 340 dimes in three boxes"

Let x represents the number of dimes in the first box

y represent the number of dimes in the second box

and z represent the number of dimes in the third box

Thus,

x + y + z = 340

Also, from the given information

"she says that there are 4 times as many dimes in the first box as in the second"

x = 4y

and

"3 times as many in the third box as in the first"

z = 3x

Substitute the second and third equations into the first equation

x + y + z = 340

4y + y + 3x = 340

4y + y + 3(4y) = 340

4y + y + 12y = 340

17y = 340

y = 340/17

y = 20

Substitute the value of y into the second equation

x = 4y

x = 4(20)

x = 80

Substitute the value of x into the third equation

z = 3x

z = 3(80)

z = 240

Thus,

There are 80 dimes in the first box

80 dimes = 8 dollars

There are 20 dimes in the second box

20 dimes = 2 dollars

There are 240 dimes in the third box

240 dimes = 24 dollars

Hence,

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

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Answer:

a semicircle?

Step-by-step explanation:

The minimum value for given linear equation 4x+3y will be 24.

What are linear equations?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

The minimum value for z=4x+3y will be at (6,0) i.e. 24

because this point follows the given linear inequalities too

as given in the graph provided in image.

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Answer:

\(\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}\)

Step-by-step explanation:

A quadratic function is given to us . And we need to fill out the table by using the function . The given function is ,

\(\rm\implies y = x^2+x - 6 \)

Here we need to substitute the different values of x , to get the different values of y.

Put x = -3 :-

\(\rm\implies y = 3^2-3-6\\ \)

\(\rm\implies y = 9 - 3 - 6 \\\)

\(\rm\implies y = 0 \)

Put x = -2 :-

\(\rm\implies y = 2^2-2-6\\ \)

\(\rm\implies y = 4 -2-6\\\)

\(\rm\implies y = -4 \)

Put x = -1 :-

\(\rm\implies y = -1^2-1-6\\\)

\(\rm\implies y = 1 -1-6 \\\)

\(\rm\implies y = -6 \)

Put x = 1 :-

\(\rm\implies y = 1^2+1-6\\ \)

\(\rm\implies y = 2 -6\)

\(\rm\implies y = -4\)

Put x = 2 :-

\(\rm\implies y = 2^2+2-6\\ \)

\(\rm\implies y = 4 +2-6\\ \)

\(\rm\implies y = 2\)

Put x = 3 :-

\(\rm\implies y = 3^2+3-6\\ \)

\(\rm\implies y = 9 +3-6\\ \)

\(\rm\implies y = 6 \)

Final table :-

\(\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}\)

A is the correct answer

Answer:

Are you telling us to answer it all?

Step-by-step explanation:

Answer:

I'm so sorry I have no idea seems so so complicated

Step-by-step explanation:

But I think you would need a specific equation for it and substitute numbers in it.

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation:

So we need to evaluate this expression:

In x=-2 and y=3. So we just need to replace x and y with -2 and 3:

Then the answer is -28.

Answer:

i think is M so -11

have a nice day! (^o^)

Answer:

Step-by-step explanation:

a, e, f

Answer:

(f + g)(x) = |3x + 5| + 13

Step-by-step explanation:

Given

f(x) = |3x + 5| + 6

g(x) = 7

Required

Find (f + g)(x)

In functions

(f + g)(x) = f(x) + g(x)

Meaning that, we simply add the given functions together

So, we have that:

(f + g)(x) = |3x + 5| + 6 + 7

(f + g)(x) = |3x + 5| + 13

Hence, (f + g)(x) when calculated equals |3x + 5| + 13

Answer:

3/5, 4/5, 3/4

Step-by-step explanation:

First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4

The sine, cosine and the tangent of angle should be \(3\div 5, 4\div 5, 3\div 4\).

Here first we determine the BC by applying the Pythagorean Theorem.

\(= 20^2 - 16^2\\\\= 400 - 256\\\\= 144\)

So the BC should be 12

hence, based on this, we can say that The sine, cosine and the tangent of angle should be \(3\div 5, 4\div 5, 3\div 4\).

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Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

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Answer:

Step-by-step explanation:

Given data

mass of rock, m= 200 kg

height/distance = 3 m

Now we know that the expression for work done is

w= force* distance

and also we need to find the force exerted by mass of rock

F= mg

Substituting our data and solving for force we have (assuming g= 9.81 m/s^2)

Force= 200*9.81

Force= 1962 N

Now we can find the work done

work done= 1962*3

work done= 5880 joules

The work done should be 5880 joules

Since there is the mass of the rock is 200 kg

And, the height is 3 m

Now we know that

work done = force (distance)

Also,

F= mg

= 200(9.81)

=  1962 N

Now the work done is

= 1962(3)

= 5880 joules

Hence, The work done should be 5880 joules

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Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Based on the fact that Shane gets an extra 5% of his regular score, solving for his mark graphically with the equation,  g(x) = x + 0.05 will give us the attached graph.

The equation for Shane's score is g(x) = x + 0.05.

When interpreted, this graph means that for every point on the x-axis, the corresponding y-value will be 5% more than the x-value.

A score of 74 on the x-axis would correspond with 79 on the y-axis for instance. This is what is shown in the attached graph which makes it the correct graph.

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Answer:

The hypotenuse is 17

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 + 15^2 = c^2

64 + 225 = c^2

289 = c^2

Take the square root of each side

sqrt(289) = sqrt(c^2)

17 = c

Answer:

17 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

\(a^2+b^2=c^2\)

where a and b are the legs and c is the hypotenuse.

In this triangle, 8 cm and 15 cm are the legs, because they form the right angle. The hypotenuse is unknown.

a= 8

b= 15

\(8^2 + 15^2= c^2\)

Solve the exponents on the left side of the equation.

8^2= 8*8= 64

\(64+15^2=c^2\)

15^2= 15*15= 225

\(64+225=c^2\)

Add 64 and 225

\(289=c^2\)

c is being squared. We want to get c by itself, so we must perform the inverse. The inverse would be taking the square root.

Take the square root of both sides.

\(\sqrt{289} =\sqrt{c^2}\)

\(\sqrt{289} =c\)

\(17=c\)

c= 17 cm

The length of the hypotenuse is 17 centimeters.

Answer:

$153

Step-by-step explanation:

____________________________________

____________________________________

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer: $205.33

Step-by-step explanation:

We know the original price was $234, during the sale there was a 35% discount, let's found out what that is...

234 * (100% - 35%)

234 * (65%)

234 * (0.65)

= 152.1

After the sale, the price was increased by 35%, remember percentages are out of 100...

100% + 35% = 135%

135% = 1.35

152.1 * 1.35

= $205.33

The price of the camera after the increase is $205.33, I hope this helps!

The following are binomial random variable,

A)A Roll a fair die 5 times and X = the number of rolls that land showing a "4", is a binomial random variable.

B) Roll 5 fair dice at once and let Z = the number of dice that land showing an even value (2, 4, or 6), is a binomial random variable.

C) Roll 5 fair dice at once and let Y = the number of dice that land showing a "4" , is a binomial random variable.

A random binomial variable should satisfy the following conditions:

1. The number of trials are defined or fixed.

2. Each trial is independent of others.

3. The probability of success is same in all trials.

4. There should be only two outcomes in each trial.

Lets we evaluate the options based on the above conditions:

(A) Rolling fair dice 5 times have 5 trials, each rolling is independent, probability of 4 is 1/6 in all cases and the dice will either land 4 or will not land 4. So, X will have values from 0 to 5, 0 when dice doesn't land 4 even once in 5 rolls and 5 when dice land 4 in all rolls. This variable satisfies the condition to be a random binomial variable. So, X is a random binomial variable.

(B)For rolling 5 dices at once, the number of trials is 1 and fixed and the outcomes are 0 dice with even number to all 5 dices with even number. If the dices are rolled multiple times each trial will be independent of each other and the probability of success will be same for each trial. So the variable Z is a random binomial variable as it satisfies all the conditions.

(C)For rolling 5 dices at once, the number of trials is 1 and fixed and the outcomes are 0 dice land with 4 to all 5 dices land with 4. If the dices are rolled multiple times each trial will be independent of each other and the probability of success will be same for each trial. So the variable Y is a random binomial variable as it satisfies all the conditions.

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Answer:  x = -3/2

Step-by-step explanation:

The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer: d.12

Step-by-step explanation: