I really need help with number 9 find the value of x that makes abcd a parallelogram.

Differentiation - The value of g'(x) = [tex]\frac{1}{10}x^{-9}[/tex].

Apart from integration, differentiation is among the two key ideas in calculus. A technique for determining a function's derivative is differentiation. Mathematicians use a process called differentiation to determine a function's instantaneous rate of change predicated on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time. Finding an antiderivative is the opposite of differentiation. The rate of change of signal with respect to y has been given by dy/dx if x and y are two variables. The general representation of a function's derivative is given by the equation f'(x) = dy/dx, where y = f(x) is any function.

Given that,

G(x) = [tex]\frac{1}{x^{10} }[/tex]

g’(x)=?

g’(x) is the derivative of g(x).

The derivative of [tex]x^{n} = nx^(n-1)[/tex]

[tex]x^{10} = 10x^(10-1)[/tex]

[tex]x^{10}= 10x^9[/tex]

Then,

[tex]\frac{1}{x^{10} }[/tex] = [tex]\frac{1}{10}x^{-9}[/tex]

Hence, The derivative of g(x) is [tex]\frac{1}{x^{10} }[/tex] = [tex]\frac{1}{10}x^{-9}[/tex].

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The first compound indequality is:

We can view this in the real line:

There is no number that can be both greater AND less than 7, which makes the correct answer "No solution".

The second is:

Now, we are not looking for intercetion, we are looking for the union of both. The firts inequality takes all number less than 7 and the second all that are greater than 7, so the only one that is not a solution is 7, which means the correct answer is "all real numbers except 7"

The third is:

This is the same as the first one, but now the 7 is included in both:

So, there is only 7 that can be in both indequalitys, thus the correct answer is "one solution, 7".

The fourth is

This is similar to the second, but now 7 is included, which means it is also a solution, thus the answer is "all real numbers".

ANSWER

Elimination

EXPLANATION

We want to decide what method will be easier to solve the system of simultaneous equations.

From the equation, we see that attempting substitution will be quite difficult because there will be fractions involved thereby making simplification difficult.

On the other hand, elimination will involve multiplying the two equations by certain factors and solving.

Therefore, elimination will be more convenient.

When two lines are perpendicular, the slopes of the lines m1 and m2 are related such that

m1m2 = -1

from the given equation comparing with tyhe general form of the equation of a line (y = mx + c)

m1 = 4/3

The slope of the perpendicular line is -3/4

The equation of the line

y- -1 = -3/4(x - -4)

y + 1 = -3/4(x + 4)

y + 1 = -3x/4 - 3

Subtract 1 from both sides

y + 1 - 1 = -3x/4 - 3 - 1

y = -3x/4 - 3 - 1

y = -3x/4 - 4

This is the standard form of the equation

In order to calculate the cost for 3 pounds of acorn squash, we can write the following rule of three:

Then, we can write the following equation and solve it for x:

Therefore the cost of 3 pounds is $4.77.

we have the system

The solution to the first inequality is the shaded area below the solid line y=-x+4

The solution to the second inequality is the shaded area to the right of the solid vertical line x=2

therefore

The solution to the system is the shaded area below the solid line y=-x+4 and to the right of the solid vertical line x=2

using a graphing tool

see the attached figure below

The solution is the triangular area

Two lines that parallel, their slopes are equals.

L1 and L2 are parallel only if the slopes of the lines are s1 and s12 are identical

therefore the correct answer is A. slope m = slope (n) since they say that two slopes the same

Based on the given histogram on yards and the number of trees they have, the probability that a random selected yard will have fewer than 6 trees is 60%

The probability that in a random yard, the number of trees would be less than 6 trees can be found by the formula:

= Proportion of yards with 0 - 2 trees + Proportion of yards with 2 - 4 trees + Proportion of yards with 4 - 6 trees

The probability that a random yard would have fewer than six trees is therefore:

= 0.35 + 0.20 + 0.05

= 0.60

= 60%

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We are given the following system of equations:

To solve this system by substitution we will replace the value of "y" from equation (2) in equation (1)

Now we use the distributive property:

Now we add like terms:

Now we add 8 to both sides:

Solving the operations:

Dividing by 30:

Therefore x = 0. Now we replace the value of "x" in equation (2):

Therefore, the solution of the system is:

Answer

Option A is correct.

Explanation

Sample survey refers to the statistic

The other factor of the polynomial from what we have here is given as  x² - 4x + 1 option B is correct.

We are required to divide  x³ - 7x² + 13x - 3 by x -3

We have this as

     x² - 4x + 1

     -----------------

x-3 | x³ - 7x² + 13x - 3

we would have

        x³ - 3x²

subtract this value by the one that we have above

then we would have

                   -4x² + 13x

                   -4x² + 12x

subtract these values from each other to get the value below.

                               x - 3

Hence the solution to the polynomial would be    x² - 4x + 1.

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Answer:

Explanation:

Answer: 1

Step-by-step explanation:

We are given (a + 3) - (a + 2)

To think of this another way, we can distribute the negative sign out into the (a + 2)

(a + 3) -(a) - (2)

Now our expresssion looks like this:

(a + 3) - a - 2

Simplifying, we get

a - a + 3 - 2

The a terms cancel leaving us with

3-2

and that equals

1

Answer:

1

Step-by-step explanation:

1. Rewrite

         : (a+3)-(a+2) = a + 3 - a - 2

2. Subtract

         : 3-2 = 1 ... so now the equation is a + 1 - a

3. Combine like terms

         : a -a = 0 (the a's cancel out) ... now you're left with 1

Since there is nothing left, your answer is 1.

This problem provides the faces of a triangular prism, and we need to calculate the surface area.

The surface area of the prism is equal to the sum of the area of all individual faces. Three faces are rectangles, while two are triangles.

The area of a rectangle can be found by using the following expression:

While the area of a triangle can be found by using the following expression:

Two rectangles are equal, with measurements 2.25 cm by 8.5 cm, one rectangle has a measurement of 6.5 cm by 2.5 cm, and the two triangles are equal with a base equal to 6.5 cm and a height of 8.5 cm, therefore we have:

And the total area is:

The surface area of the prism is approximately 108 square centimeters.

To create the table of values, we need to find the coordinates of the given points.

The coordinatesare given by (x,y), where x ican be found by drawing an imaginary vertical line passing through the point, and the x-value is the value of the x-axis where the line intercepts the x-axis.

The y-coordinate is given by the point of interception on the y-axis of a horizontal line passing through the point, so, for the fir tpoint the coordinates are:

If we apply the same procedure to the next points, we can find the following coordinates:

Thus, th table of values will be:

x y

-2 5

-1 4

0 3

1 2

2 1

Answer:

**NEED USEFUL ANSWER ASAP, H.W QUESTION**

Given that hotter blackbodies produce more energy than cooler blackbodies, why do cooler red giants have much higher luminosities than much hotter white dwarfs?

Step-by-step explanation:

The return on investment for Katerine's account = 9.4%

Amount invested is the principal

Principal, P = $6,100

Annual Interest Rate, r = 4.5% = 0.045

The interest is compounded daily

Number of times the interest is compounded per year, n = 365

Number of years, t = 2 years

The amount after 2 years is calculated as:

The amount after 2 years = $6673.4

The interest = Amount - Principal

The interest = $6673.4 - $6100

The interest = $573.4

The return on investment is calculated as:

The return on investment for Katerine's account = 9.4%

There is no proof because X ≠ -15 when 3/5 x = 9

Multiplication is defined as one of the basic arithmetic operations that is used for the repeated addition of similar figures together.

From the given expression,

3/5x = 9

But X= -15

Substitute X = -15 into the given expression;

That is,

3/5 * -15 = 9

-45/5= 9

-9 = 9

Therefore, there is no proof that in the expression 3/5 x = 9, X ≠ -15 because the final answer is -9 and not ,9.

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Answer:

125

Step-by-step explanation:180=180-(2x+45)+x+80

2x-x=80+45

x=125

Answer:

The estimated crowd is of 380160 people.

Step-by-step explanation:

We solve this question applying a proportion on the following format:

People divided by area.

Let's do the drawing:

12 people fit comfortably in a 5 feet by 5 feet area.

So

12 people fitting in an area of 5*5 = 25 ft².

Area of the street:

3 miles = 3*5280 ft = 15840 ft

25 feet on both sides. So, the total area in which the crowd is sparsed is:

A = 15840*25*2= 792000 ft².

Now we apply the ratio:

People over area.

Applying cross multiplication:

25x = 12*792000

x = (12*792000)/25

x = 380160

The estimated crowd is of 380160 people.

The width of a rectangle is 3/4 its length.

The perimeter of the rectangle is 420 ft.

Recall that the perimeter of a rectangle is given by

Let us substitute the value of the given perimeter and the width

Now simplify and solve for length

Therefore, the length of the rectangle is 120 feet.

we have the equation

-6x-8y=-2

step 1

Isolate the variable y

Adds 6x both sides

-6x-8y+6x=-2+6x

simplify

-8y=6x-2

Divide both sides by -8

-8y/8=(6x-2)/-8

y=-(6/8)x+(2/8)

simplify

therefore

Part b

For x=-40

substitute in the equation above

y=-(3/4)(-40)+(1/4)

y=30+1/4

y=121/4

therefore

the answer part b is

Since this is a right triangle, we can use trig functions

cos theta = adj side/ hypotenuse

cos Q = QP / QR

cos 38 = QP / 25

25 cos 38 = QP

19.70026884= QP

Rounding to the nearest tenth

19.7 = QP

Given:

The formula to convert from inches to centimeters is c = 2.54n

To find:

The formula that can be used to convert from centimeters to inches

To determine the formula, we need to make n the subject of formula:

Answer:

A. LJ≅HF

Step-by-step explanation:

Same as last time

Answer:

Step-by-step explanation:

To graph the solution, plot the point x = 8, make it closed dot, shade the line to the right from this point.

We can assume the kite is simetrycal along line WY, as such

because the diagonals of a kite are perpendicular.

Since m∠XSW is 90°, triangle WSX is a right triangle. Thus

By the symmetry we discussed earlier,

And finally

Let L be the amount of gas Angela has at distance d. At d=0 she has 26, and we know that every 48 miles the gas decreases 2 gallons, so the rate of decrease of gas per mile is

Then, the linear equation that models this problem is

(I used the minus sign since the amount decreases).

The gas will run out of gas whe she has driven

Then the graph that best fits the model is number Z. And the answer is D.

We were given the following details:

This is a normal distribution. Normal distributions are solved using the z-score

The z-score for a value, X is calculated using the formula:

SOLUTION

The relation is a function because each x-value has a unique y-value. That is each domain has only one image. Therefore, the relation is a function