Solve the inequality. Graph the solution. -7<2c - 1<10

Answer:

I hope the image helps!

Answer:

63°

Step-by-step explanation:

since they are in the form of vertically opposite angle.

The equation of a line that passes through (0, 0) and has a slope of 2 is y = 2x.

Equation of a line can be represented in slope intercept form as follows

y = mx + b

where

A line that includes the point (0, 0) has a slope of 2. The equation of the line in slope intercept form is as follows:

y = 2x + b

using (0, 0) let's find y-intercept.

0 = 2(0) + b

Hence,

b = 0

Therefore, the equation is y = 2x

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So the exact length of the curve is given by [tex]L=(1/36)*[\frac{37^{3/2}}{3/2} - 1][/tex]

Given the equation of curve:

[tex]y = 3+ 4x^\frac{3}{2}[/tex]

The length of the curve is given by [tex]L= \int\limits^a_b {\sqrt{1+(y^[/tex]

Where y^ is derivative of y with respect to x

So [tex]y= 4*(3/2) * \sqrt{x}= > 6 \sqrt{x}[/tex]

Given a=1 and b=0

So [tex]L= \int\limits^1_0 {\sqrt{1+(6\sqrt{x})^2 } } \, dx[/tex]

[tex]L= \int\limits^1_0 {\sqrt{1+36x } } \, dx[/tex]

let 1+36x be t

36dx = dt

As the value of x changes after the substitution of the value.

So now the L changes as:

[tex]L= 1/36 \int\limits{\sqrt{t } } \, dt[/tex]

[tex]L=1/36* \left \{ {{t=37} \atop {t=1}} \right. \frac{t^\frac{3}{2} }{\frac{3}{2} }[/tex]

[tex](1/36)*[\frac{37^{3/2}}{3/2} - 1][/tex]

the min value of t=1 and max value of t=37

[tex]L=(1/36)*[\frac{37^{3/2}}{3/2} - 1][/tex]

[tex]L=(1/36)*[\frac{37^{3/2}}{3/2} - 1][/tex]

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Answer:

x>=45 is the req. inequality

The inequality equation for the number of tickets to be sold is x ≥ 45

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the number of tickets to be sold be x

Let the total amount of money to be saved be = $ 800

The amount of money already saved = $ 350

So , the remaining amount of money = $ 800 - $ 350 = $ 450

The cost of each ticket = $ 10

So , the cost of x tickets = 10x

Now , the number of tickets to be sold to raise $ 450 is given by

10x ≥ 450   be equation (1)

On simplifying the equation , we get

Divide by 10 on both sides of the equation , we get

x ≥ 45

Therefore , the number of tickets to be sold is 45

Hence , the inequality is x ≥ 45

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Answer:

Step-by-step explanation:

Robb’s Fruit Farm consists of 100 acres on which three different types of apples grow. On 25 acres, the farm grows Empire apples. Mcintosh apples grow on 30% of the farm.

After solving the two digit number is 45.

In the given question,

The 2 digit number which become 5 by 6th of itself when it digit are revered.

The difference in the digit of the number being 1, then we have to find the two digit number.

Let the two digit number = 10y+x

When we reversed the number then the number is 10x+y

As given that;

10y+x = 5/6(10x+y)

Multiply by 6 on both side, we get

60y+6x = 50x+5y

Subtract 5y on both side, we get

55y+6x = 50x

Subtract 50x on both side, we get

55y-44x = 0

Divide by 11 on both side, we get

5y-4x = 0

4x-5y = 0......................(1)

It is given that the difference between the number is 1.

x-y = 1..................(2)

Multiply by 4 in equation 2

4x-4y = 4.........................(3)

Now subtract equation 3 and 1, we get

y = 4

Now putting the value of y in equation 2

x-4 = 1

Add 4 on both side, we get

x = 5

Since the number is 10y+x. So

10y+x = 10(4)+5

10y+x = 45

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The linear function models the given situation will be equal to f(x) = $3600 - $400(x).

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Original price of Machine = $3600

Price lost by the machine each year = $400

Then, the equation will be,

f(x) = $3600 - $400(x)

Here, x represents the number of years.

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Answer:

f(x) = −400x + 3600

The perimeter of a rectangle i 80 inche. The length of the rectangle i 12 inchs then width is equal to 28 inch

What is length area and perimeter?

Firstly, the area of a shape is the surface or flat space that the shape covers whereas the perimeter of a shape represents the distance around its boundary. Secondly, the area is measured in square units, whereas the perimeter is measured in linear units.

given that the perimeter of a rectangle is 80 inch

we know that

perimeter = 2 ( L +B)

putting the values we get

80 = 2 ( 12 + B)

40= 12+B

B= 28

then the width is equal to 28inch

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Answer:

1)3

2)9

3)5

4)45

5)4

6)10

7)4

8)19

9)2

10)unable (no equal sign?)

Step-by-step explanation:

a) By the subtraction operation, the increase in carbon dioxide levels between 1959 and 2005 is 77 parts.

b) The percentage increase in carbon dioxide levels between 1959 and 2005 is 24.7%.

The percentage increase is found by determining the difference between the original and final values through subtraction operation.

The difference is then divided by the original value, multiplied by 100.

The carbon dioxide levels in 1959 = 312 parts per million

The carbon dioxide levels in 2005 = 389 parts per million

The increase in dioxide levels from 1959 to 2005 = 77 parts per million (389 - 312)

The percentage increase = 24.68% (77/312 x 100)

= 24.7%

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Answer:

Step 1: Obtain the mean and standard deviation of the weights of packs of chewing gum. The weights of packs of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation 2.- grams. Step 2: Obtain the z-score of the randomly selected pack of gum. The z-score of the randomly selected pack of gum is 3.11. Step 3: Determine which of the following statements is true: The weight of this pack of gum is lighter than the mean weight by 3.11 standard deviations The weight of this pack Of gum is heavier than the mean weight by 3.11 standard deviations The weight of this pack Of gum is lighter than the mean weight by 2.4 standard deviations The weight of this pack Of gum is heavier than the mean weight by 2.4 standard deviations

Answer:15x3 /=divide 5 = 9

Step-by-step explanation:

because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!

A committee with 4 democrats and 2 republicans formed from a group of 7 democrats and 5 republicans can be created in a total of 350 ways. Therefore, the option C holds true.

The calculation of the same has been shown as below,

A group has 7 Democrats and 5 Republicans.

Committee with 4 Democrats and 2 Republicans = 7C4 x 5C2

7C4 x 5C2 = 7! / (4! 3!) x 5! / (2! 3!)

7C4 x 5C2 =(7×6×5 / 3×2×1) x (5×4 / 2×1)

7C4 x 5C2 = 35 × 10

7C4 x 5C2 = 350

Therefore, a committee can be created in 350 ways.

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Complete Question

In how many ways can a committee with 4 Democrats and 2 Republicans be formed from a group of 7 Democrats and 5 Republicans?

A 105

B 924

C 350

D 1680

Using 1 balls and bins, n balls are thrown into m bins; m and n are positive numbers. the probability of any given bin containing one ball is n/m n * (1 - (1 - 1/m)^n) / m^2

Given that n is the number of balls and m is the number of bins, the probability of any given bin containing one ball is n/m. Therefore, the variance of x is equal to the variance of a binomial random variable with n trials and probability of success p = n/m.

By the formula for the variance of a binomial random variable, the variance of x is equal to n * (1 - (1 - 1/m)^n) / m^2.

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Answer:

0

Step-by-step explanation:

The condition known as "eggless baking" is a common problem when baking cakes and other desserts.

It can be caused by not having eggs in the refrigerator or by forgetting to add them to the recipe. Without eggs, the cake batter lacks structure and will not hold together when baked. Without the proteins from the eggs, the cake will be denser and less moist.

Additionally, the cake may not rise as much as desired and the texture may be crumbly or gummy. To solve this problem, you can try substituting other ingredients such as mashed bananas, applesauce, or yogurt. However, it is best to add eggs if possible to ensure the best results.

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Answer:

10 Child Tickets

Step-by-step explanation:

25 x 12 = 300

So we need 60

6 x 10 = 60

Step-by-step explanation:

25 x 13 = 300

300 + 60 = 360

Answer:

7

Step-by-step explanation:

4+3=7

7-4=3

7-3=4

Answer:

60 ft.^2

Step-by-step explanation:

Known area/number of packs= A / number of packs for A, where A= area of interest

150/2.5=A/1

A=60

Answer:

----------------------------

Divide the figure by three parts for easy calculation of its area:

Find each area and add up:

The blank is 75.

The linear equation on the table is the one in option D.

y = 25*x + 45

A general linear function is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know two points on the line, (x₁, y₁) and (x₂, y₂), the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Using the first two points, (0, 45) and (1, 70) we can get the slope:

a = (70 - 45)/(1 - 0) = 25

And because of the point (0, 45) we know that the y-intercept is b = 45, then the linear equation is:

y = 25*x + 45

So the correct option is D.

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Answer:

Step-by-step explanation:

81 of [60-{(8*7)-(13-(3*5))}] =

81 of [60-{56}-(13-15)] =

81 of [60-{56}-(-2) =

81 of [60-{56}+2] =

81 of [6] =

81% of 6 = 4.86

To find the percent that 1.5 is of 7.5, we need to divide 1.5 by 7.5 and multiply the result by 100% to convert it to a percentage:

1.5 / 7.5 = 0.2

0.2 * 100% = 20%

Therefore, 1.5 is 20% of 7.5.

To find the percent that 5ft is of 37.5ft, we need to divide 5 by 37.5 and multiply the result by 100% to convert it to a percentage:

5ft / 37.5ft = 0.1333

0.1333 * 100% = 13.33%

Therefore, 5ft is 13.33% of 37.5ft.

Answer:

hshsjsjs

Step-by-step explanation:

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The amount of worth of machine Larry needs to sell to recieve 15,000 dollars is 125, 000 dollars.

Larry  thinks the big money is in rowing machines. If Larry switches jobs,

he will earn a 12% commission on all the machines he sells. For Larry to

receive $15,000 in commissions, the worth of dollars of machines he must

sell can be computed as follows:

Therefore,

let

x = amount he will earn

Hence,

15, 000 = 12% of x

15,000 = 12 / 100 × x

15000 = 12x / 100

cross multiply

1500000 = 12x

divide both sides by 12

x = 1,500,000 / 12

x = 125,000

Therefore, he needs to sell $125, 000 worth of machine.

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Answer:

h = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] + h = [tex]\frac{5}{3}[/tex] ( subtract [tex]\frac{1}{3}[/tex] from both sides )

h = [tex]\frac{5}{3}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{3}[/tex]