I want the correct and complete solution of this
question. I already have the answer of this question so solve it
correctly and completely. if it is incomplete or wrong then I will
downvote definitely

Answer:

16. (0 , -6) 17. (0 , 4) 18. (3, -9)

Step-by-step explanation:

Answer:

A = (0,-6)

B = (0,4)

C = (3,-9)

Step-by-step explanation:

Take the middle number of the x-coordinates.

A- The number in between 0 and 0 is 0

B- The number in between 2 and -2 is 0

C- The number in between -3 and 9 is 3

Take the middle number of the y-coordinates.

A- The number in between 0 and -12 is -6

B- The number in between 9 and -1 is 4

C- The number in between -3 and -15 is -9

You can also use the midpoint formula; M=(x(1) + x(2))/2 , (y(1) + y(2))/2

Answer:

85

Step-by-step explanation:

5×9=45

8×5=40

add it

85

The value of dy/dt is 0 units per second.

a) Given: y= √x Differentiating with respect to t, we get; \(dy/dt = 1/2√x * dx/dt\)

On substituting the values of x and dx/dt in the above equation, we get; dy/dt = 1/2 * √16 * 3= 1.5 units per second

Therefore, the value of dy/dt is 1.5 units per second.

b) Given: \(y= √x\)

Differentiating with respect to t, we get;

\(dy/dt = 1/2√x * dx/dt\)

Let us assume that y = k, where k is a constant that can be determined by the given value of x.

Substituting the values of x and y in the equation, we get; 25 = √x

Therefore, x = 625dx/dt

= 0

(Given)\(dy/dt = 1/2√x * dx/dt\)

dy/dt = 1/2√625 * 0

= 0

Therefore, the value of dy/dt is 0 units per second.

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Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

1. (a) The nonnegative integers under addition form a group.

This is because they satisfy the four group axioms:
- Closure: Adding two nonnegative integers always results in a nonnegative integer.
- Associativity: Addition of integers is associative, meaning that for any three nonnegative integers a, b, and c, (a + b) + c = a + (b + c).
- Identity element: The number 0 is the identity element, as adding it to any nonnegative integer leaves the integer unchanged.
- Inverse element: For every nonnegative integer a, the additive inverse -a exists in the set of nonnegative integers. Adding a and -a results in the identity element 0.

(b) The positive rational numbers under multiplication do not form a group. This is because they do not satisfy the inverse element axiom. Specifically, not every positive rational number has a multiplicative inverse that is also a positive rational number. For example, the number 2 does not have a multiplicative inverse in the set of positive rational numbers.
2. (Z*₁₁)² = {0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1}
(Z*₁₃) = {0, 1, 4, 9, 3, 12, 10, 10, 12, 3, 9, 4, 1}

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Answer:

what do you want us to tell you

Step-by-step explanation:

i would guess c but i'm not 100% sure

The sum of all observations divided by the total number of observations yields the arithmetic mean of a set of data.

Only numerical variables—regardless of whether they are discrete or continuous—can be used to determine the mean. Simply dividing the total number of values in a data collection by the sum of all of the values yields it. The computation can be carried out using raw data or data that have been combined into a frequency table.

The sum of all observations divided by the total number of observations yields the arithmetic mean of a set of data.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. It is sometimes referred to as the "average" and is the most widely used central tendency metric.

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Before we solve the equation let's take a look at it.

f(x) = -2x + 3

See how x appears in both f(x) and as the variable in the second half of the equation?

f(x) means "The function of x." You might also see g(x), h(x), and while those are the most common it can really be any letter, and any variable inside the parentheses.

So when we see f(-1), that means "The function of -1" or "The function of x when it is equal to -1."

Catching on? We need to replace x with -1 to solve for f(-1).

So here we go:

f(x) = -2x + 3

f(-1) = -2(-1) + 3

f(-1) = 2 + 3

f(-1) = 5

Voilà! We have solved for f(-1). Hope this helped.

Answer: Ayden has 11 football cards,44 baseball cards and 51 Pokemon cards which totals  106 cards all together

Step-by-step explanation:

STEP 1 :

Let x represent number of football cards

He has four times as many baseball cards as football cards, let baseball cards be = 4x

Pokémon cards contain 7 more cards than his baseball collection,let Poke mon cards = 4x +7

Step 2 :

Putting in equation we have that

Football cards + Baseball cards + Pokemon cards = 106 cards

Therefore,

x + 4x + 4x+7 = 106

9x + 7 = 106

9x = 106-7

9x = 99

x =99/9 = 11

therefore football cards , x = 11 football cards

 baseball cards = 4x = 4 x 11 = 44 baseball cards

Pokemon cards = 4x+7= 4x11 +7 = 44 +7 =51 Pokemon cards

Answer:

2 weeks and 4 days

Step-by-step explanation:

she is 63 pounds and she needs to get to 47 so  63-47=16 then if she loses 6 pounds every week then 6+6=12 which make 2 weeks cause we used two 6's so now we have a remainder which makes days 12-16=4 so their ya go

2 weeks and 4 days

Step-by-step explanation:

(x−1)²−9=0

(x-1)²= 9

x-1 = ±√9

x-1 = ±3

x = 1-3=-2 or x=1+3=4

the solution = {-2,4}

Answer:

75% of the votes were in favor.

Step-by-step explanation:

To find the percent(rate), we use the formula r=p/b

The question is "What percent(rate) of 56 is 42?"

So fill in the formula and it will show as r=42/56, which is the rate will be equal to 42 divided by 56.

Perform the calculations and the result will show 0.75

Convert the decimal to a percent by moving the decimal point two places to the right and you will have 75% as your answer.

Answer:

Step-by-step explanation:

Prove that,

−5(x+8) = −25 then x = -3

−5(x+8) = −25

By distributive property,

-5x - 40 = -25

Adding 40 to both sides, that is, Additive property of equality

-5x - 40 + 40 = -25 + 40

-5x = 15

Divide both sides by -5, that is Division property of equality

-5x / -5 = 15 / -5

x = -3

Hence, x = -3 has been proved

Answer:

Statement                                           Reason

1. -5(x+8)=-25                                       Given

2. −5(x+8) −5=−25/−5                      Division Property of Equality

3. X+8=5                                              Simplifying

4. x+8−8=5−8                                      Subtraction Property of Equality

5. x=−3                                              Simplifying

The area of the region bounded by the parabola, the tangent line to this parabola at the point, and the axis is 20/3.

The area of the region bounded by the parabola y=x2, the tangent line to this parabola at (1,1) and the x-axis can be calculated by using integration.

First, we note that the equation of the tangent line to the parabola at (1,1) is y=2x-1. Then, the area of the region can be calculated by the equation:
A=∫01 (2x-1) - (x2)dx
A=∫01(x-x2)dx
A=∫01x dx - ∫01x2dx
A= (x2/2) |01 - (x3/3) |01
A=(1/2) - (1/3)
A=1/6
Let the given parabola be\(y^2=4ax\).

So, the equation of tangent at

\((a,a^2/4) is y=a^2/4 + (x-a)\).On solving this with the parabola equation we get,

x=3a/2, y=3a/2

So, the x intercept is 3a/2 and hence the required area is :∫\((3a/2)(a^2/4)\)dx + ∫\((a/2)(3a/2 - a^2/4)\) dx...on solving this, we get,\(20a^2/12 = 5a^2/3\)= 20/3.

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Answer:

c

Step-by-step explanation:

plot the y intercept, which is 2 at (0,2). Then use do rise/run, which is 1/2. go up one time, then to the right two times.

Sylvia and Patrick gathered information on the weight of cars and the mileage they get, and then proceeded to plot the data on a graph.

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Answer:

D

Step-by-step explanation:

Use the formula given. R is half the diameter

R = 14/2 = 7 inches.

Area = 3.14 x 7^2

Area = 153.86 inches^2

Answer:

Does the answer help you?

Total volume of the shape is 124 cm³

A cuboid is a three-dimensional solid shape that has six rectangular faces or sides, where each face meets at a right angle with its adjacent faces.

The formula for the volume of a cuboid is:

Volume = Length x Width x Height

So, the Volume of first cuboid = 3 × 4 × 5 = 60 cm³

and the Volume of second cuboid = 2 × 4 × 8 = 64 cm³

Total volume of the shape = Volume of first cuboid + Volume of second cuboid

Total volume of the shape = 60 cm³ + 64 cm³

Total volume of the shape = 124 cm³

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Answer:

Step-by-step explanation:

a.)

\(4880.76=4000(1+.04/4)^{4x}\\\\1.22019=1.01^{4x}\\\frac{\ln{1.22019}}{\ln{1.01}}=4x\\x= 4.999999= 5\)

b.)

\(5395.4=4000(1+x/12)^{12*5}\\1.34885=(1+x/12)^{60}\\\sqrt[60]{1.34885} =1+x/12\\x= 0.0599999772677= .06\)

c.)

\(\i)\\100*(1+.1255)= 112.55\\\\2)\\100*(1+.1218/2)^2= 112.550881= 112.55\)

Answer:

y=-2x-13

Step-by-step explanation:

y=mx+b

3=-2(-8)+b

3=16+b

3-16=b

-13=b

Answer:

The answer would be (C)

Answer:

C is the answer

Step-by-step explanation:

C is the answer I think

Answer:

The answer is 192.

Step-by-step explanation:

Answer:

Step-by-step explanation:

$6

Answer:

2x^7

Step-by-step explanation:

To simplify this expression, there are two steps. You have to act as though the exponents are whole numbers and add them together to combine like terms.

\(2x^4 \times x^3\\= 2x^{4+3}\\= 2x^7\)

Hope this helps!

The total volume of the solid = 1,035,000 cm³

Volume of a Pyramid = 1/3(length)(width)(height).

Volume of a cuboid = (length)(width)(height).

Volume of the Pyramid = 1/3(length)(width)(height)

Volume of the Pyramid = 1/3(90)(50)(240 - 225)

Volume of the Pyramid = 1/3(90)(50)(15)

Volume of the Pyramid = 22,500 cm³

Volume of the cuboid = (length)(width)(height)

Volume of the cuboid = (90)(50)(225)

Volume of the cuboid = 1,012,500 cm³

The total volume of the solid = 22,500 + 1,012,500

The total volume of the solid = 1,035,000 cm³

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Answer:

Linda needs to raise a minimum of $9,000 to completely pay for her tuition fee for the first year, that is, $250 per month

Step-by-step explanation:

Tuition fee = $14,000 per year

Linda received a $5000 gift that she will use for her first year of college tuition during her 15th birthday

Amount remaining = Tuition fee - gift money received

= $14,000 - $5,000

= $9,000

Linda needs to raise $9,000 in the next three years to contribute to her first year of college tuition

The minimum amount Linda needs to save each month in the next three years to raise $9,000

= Remaining tuition / 3 years

= $9,000 / 3 * 12 months

= $9,000 / 36 months

= $250 per month