-2/3<-4x please help

Answer

x=52/5

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators next

Cancel multiplied terms that are in the denominator after that you

Multiply the numbers

Answer:

she would walk at least those 62 miles

Step-by-step explanation:

We are told that in the 3 days of the walk to fight cancer, Mary breaks the 62 mile barrier every day, that is to say that every day she travels 62 miles or more.

You ask us how much she walks in a single day, considering what the statement that goes at least 62 miles each day says, she would walk at least those 62 miles on a normal day.

Answer:

  64x^10

Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

___

Using the first rule, we have ...

  (8x^5)^2 = (8^2)((x^5)^2) = 64(x^5)^2

Using the second rule, we have ...

  =64x^(5·2) = 64x^10

Answer:

64x^10

Step-by-step explanation:

why do u keep on deleting this???

Answer:

55

Step-by-step explanation:

The area and perimeter of the rectangle is : [A] = 40.18 square feet and [P] = 26.2 feet respectively.

Given is a rectangle with dimensions as follows -

{L} = 8.2 ft

{B} = 4.9 ft

        [P] = 2{8.2 + 4.9} = 2 x 13.1 = 26.2 feet

        [P] = 26.2 feet

        [A] = {8.2 x 4.9} = 40.18 square feet

        [A] = 40.18 square feet

Therefore, the area and perimeter of the rectangle is : [A] = 40.18 square feet and [P] = 26.2 feet respectively.

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Answer: 24% of students

Step-by-step explanation:

6 students divided by 25 total students = 0.24. You would multiply 0.24 by 100 or move the decimal two places to the right to get the percentage. In this case, the percentage would be 24%. 24% of students do not play spring sports.

\(6/25 = 0.24 *100 = 24 percent\)

The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

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Answer:

0.4286 = 42.86% probability that the low bid on the next intrastate shipping contract is below $25,000.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value lower than x is given by:

\(P(X < x) = \frac{x - a}{b - a}\)

Uniformly distributed between 22 and 29, in units of thousands of dollars.

This means that \(a = 22, b = 29\).

(a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000.

This is P(X < 25). So

\(P(X < 25) = \frac{25 - 22}{29 - 22} = 0.4286\)

0.4286 = 42.86% probability that the low bid on the next intrastate shipping contract is below $25,000.

Answer:

Step-by-step explanation:

152

The circular is around 305 cm in circumeference.

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle.

Substituting d = 97 cm and using the value of π to be 3.14159, we get:

C = πd

C = 3.14159 × 97 cm

C ≈ 304.731 cm

Rounding this to 3 significant figures, we get:

C ≈ 305 cm

Therefore, the circumference of the circle is approximately 305 cm.

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Answer:

3 is the answer

Step-by-step explanation:

cause if u do beldams

The value of d that makes (x - d) a factor of p(x) is d = -5.

Given that we need to find the value of d if (x-d) is a factor of the polynomial \(\mathrm{p(x)= 2x^3 -dx^2+(1-d^2)x+5}\).

If (x - d) is a factor of the polynomial \(\mathrm{p(x)= 2x^3 -dx^2+(1-d^2)x+5}\), it means that if we substitute (x = d) into the polynomial, the result should be equal to zero.

In other words, p(d) = 0.

Let's find the value of d by setting p(d) to zero and solving for d:

\(\mathrm{p(d)= 2d^3 -d\cdot d^2+(1-d^2)d+5}\)

To find d, we set p(d) equal to zero:

\(\mathrm{ 2d^3 -d\cdot d^2+(1-d^2)d+5 = 0}\)

Now, let's simplify this equation and solve for d:

0 = 2d³ - d³ - d³ + d + 5

0 = 2d³ - 2d³ + d + 5

0 = d + 5

Now, isolate d:

d = -5

So, the value of d that makes (x - d) a factor of p(x) is d = -5.

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Answer:

412.5

Step-by-step explanation:

Answer:

\(412.5\) miles

Step-by-step explanation:

Since 1 inch=75 miles you just multiply \(75*5.5\) to get how many miles 5.5 inches is.

Answer:

The shape of an object looks the same when an object is rotated on it's own axis

The solution is,  the domain is: x ∈ (-∞, ∞).

Here, we have,

When we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here,

so the domain is:

x ∈ (-∞, ∞)

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complete question:

Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat

The value of g(10) is -19

Given the functions:

To find g(10), let's substitute the expressions into the function;

g(x) = \(\frac{f(x) - f(-1) }{x + 1}\)

Let's find f(-1)

f(x) = - 2x^2 -x

f(-1) = -2 (-1)² - (-1)

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

f(-1) = -1

substitute the value of f(-1) as - 1

g(x) = \(\frac{-2x^2 - x }{x + 1}\)

g(10) = \(\frac{-2(10)^2 - (10) - (-1)}{10 + 1}\)

g(10) = \(\frac{-2(100)- 10 + 1}{11}\)

g(10) = \(\frac{-200 - 9}{11}\)

g(10) = \(\frac{-209}{11}\)

g(10) = - 19

Thus, the value of g(10) is -19

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Answer:the slope is 3

Source: trust me bro

Answer:

1250

Explanation:

To know the size of the population, we will assume that the ratio is constant.

So, taking into account that 4 out of 50 deer has the mark and in total 100 deers have the mark, we can calculate the population as:

Then, solving for x, we get:

Therefore, there is a population of 1250 deers

Answer:

  6750 - 3894 = 2856

Step-by-step explanation:

You have to make use of the arithmetic facts you know.

The least-significant asterisk must be 0, because the sum of 4 and 6 is 10.

The 10s asterisk must be 9,so that the sum 5 + 9 + 1 has a least-significant digit of 5.

The 100s asterisk must be 7, because that is the least-significant digit of the sum 8 + 8 + 1 = 17.

The 1000s asterisk must be 3, so that 2 + 3 + 1 = 6.

(The "1" in each of these sums is the carry from the sum of the digits with the next lower place value.)

So, the subtraction problem is ...

  6750 - 3894 = 2856

_____

Comment on the solution method

For the most part, we worked this as an addition problem. The sum of the last two numbers must be equal to the first: 6570 = 3894 +2856. For some of us, addition facts are easier to work with than subtraction facts. The carry/borrow can be less confusing that way.

Answer:

1/2x + 8 < 10

Step-by-step explanation:

Answer:

\(x \leq 4\)

Step-by-step explanation:

Step 1:  Convert into an expression

1/2 x + 8 is less than or equal to 10

\(\frac{1}{2}x + 8 \leq 10\)

Step 2:  Subtract 8 from both sides

\(\frac{1}{2}x + 8 - 8 \leq 10- 8\)

\(\frac{1}{2}x \leq 2\)

Step 3:  Multiply both sides by 2

\(\frac{1}{2}x* 2 \leq 2 * 2\)

\(x \leq 4\)

Answer:  \(x \leq 4\)

We have the following response after answering the given question: equation Hence, there are 22/45 female students at the dance.

In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilised. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.

Now, let's determine how many boys and females attend each school:

Middle School in Colfax

Boys: (5/9) * 270 = 150

Girls: (4/9) * 270 = 120

School in Winthrop:

Boys: (4/9) * 180 = 80

Girls: (5/9) * 180 = 100

Now, we can determine how many males and girls attended the dance overall:

Boys: 150 + 80 = 230

Girls: 120 + 100 = 220

Thus, the proportion of female students attending the dance is:

220 / (230 + 220) = 220 / 450 = 44/90 = 22/45

Hence, there are 22/45 female students at the dance.

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Answer:

(a.) Area = 6.00 square units

(b.) Area = 15.59 square units

Step-by-step explanation:

(a.) The regular formula for the area of a triangle is A = 1/2bh, where

In this triangle, the height is 3 units and the base is 4 units.  Thus, we plug in 3 for h and 4 for b in the formula to find A, the area in square units:

A = 1/2(4)(3)

A = 2 * 3

A = 6

Thus, the area of the triangle is 6.00 square units.

(b.)

a^2 + b^2 = c^2, where

Thus, we can plug in 3 for a and 6 for c, allowing us to solve for b, the height of the entire triangle:

3^2 + b^2 = 6^2

9 + b^2 = 36

b^2 = 27

√(b^2) = √(27)

b = √(9 * 3)

b = 3√3 (leaving the answer in the simplest radical form will allow us to get a more exact answer when finding the area of the triangle.

Thus, the height of the triangle is 3√3 units.

Area of the triangle in (b.):

Now, we can plug in 6 for b and 3√3 for h in the triangle area formula to find A, the area of the triangle in square units:

A = 1/2(6)(3√3)

A = 3(3√3)

A = 9√3

A= 15.58845727

A = 15.59

Thus, the area of the triangle is about 15.59 square units.

I attached a picture that shows how the triangle in (b.) can be divided into two triangles.

Answer:

In bold below.

Step-by-step explanation:

p^2 - 4 = (p - 2)(p + 2)

Note that 8 = 2^3 so

p^3 + 8 = ( p + 2)(p^2 + 4 - 2p)

So The HCF is p + 2.

The LCM =  (p + 2)(p - 2)(p^2 + 4 - 2p)

The equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

We can use the point-slope version of the equation, which is: to determine the equation of a line passing through two specified points.

y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one of the points, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Use the points (1,6) and (2,7) to find the equation of the line:

Using (x₁, y₁) = (1,6):

y - 6 = m(x - 1)

Now, substitute the coordinates (2,7) into the equation:

7 - 6 = m(2 - 1)

1 = m

So, the slope of the line is m = 1.

Substitute this value into the equation:

y - 6 = 1(x - 1)

y - 6 = x - 1

y = x + 5

Therefore, the equation of the line that passes through the points (1,6) and (2,7) is y = x + 5.

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

After an integer is decreased by 2 it falls between 4.9 and -4.9. What is the sum of all the integers that satisfy this condition?

Let

x ------> an integer

so

x-2 < 4.9

and

x-2 > -4.9

Solve the system of inequalities

x-2 < 4.9

x < 6.9 -------> interval (-infinite, 6.9)

x-2 > -4.9

x > -2.9 ------> interval (-2.9, infinite)

the solution of the system is the interval (-2.9, 6.9)

possible solutions are

-2,-1,0,1,2,3,4,5,6

their sum is

-2+-1+0+1+2+3+4+5+6=18

a) -32.06 (To the nearest hundredth)

b) -37.7 (To the nearest tenth)

c) 3.1 (To the nearest tenth)

d) 5.86  (To the nearest hundredth)

f) -4.33  (To the nearest hundredth)

g) 11.44  (To the nearest hundredth)

h) 62x + 45 = 38x + 79

i) 46y - 18 = -37y

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two expressions separated by an equal sign (=), and shows the relationship between the variables present in the equation. Equations are used to model real-world problems and find solutions to various mathematical problems.

They can be solved for a specific variable by using various mathematical methods and techniques.

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The supply equation of the company's total cost is 0.75x

The question implies that we determine the equation of the company production and categorize the equation as demand or supply

The given parameters are:

The total cost of production is calculated as:

Total Cost = Overalls * Cost price

To determine the equation, we set the number of overalls to x.

So, we have:

Total Cost = x * 0.75

Evaluate

Total Cost = 0.75x

Hence, the equation of the company's total cost is 0.75x

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Explanation:

The relative frequency of an outcome is the number of times you get this outcome divided by the number of times the experiment was repeated:

To find it as a percentage we just have to multiply by 100:

Answer:

42.5%