Please help asap Geometry

Answer:

2nd Option

Step-by-step explanation:

Hello!

First, let's solve the inequality for x.

Since the symbol is less than or equal to, it will be a closed circle on Point -8 going in the left direction (all values less than -8).

The answer is the Second Number Line.

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Explanation:

There are 170 million martians surveyed, note the "170" in the bottom right hand corner.

Of this total, there are 48 million who have completed 4 (or more) years of college. Refer to the bottom of the "4 or more" column.

This must mean that 170 - 48 = 122 million martians have not completed 4 or more years of college. This figure of 122 is effectively the sum of nearly everything in the bottom row, except for the 48 and the 170. In other words, 27+51+44 = 122.

We divide the values 122 over 170, and reduce fully, to get the answer we're after.

122/170 = (2*61)/(2*85) = 61/85

This can be thought of as "if we had 85 million people total, then 61 million of them did not complete 4 or more years of college".

Side note: 61/85 = 0.7176 = 71.76% approximately

The probability that a randomly selected martian, has not completed four years (or more) of college is P = 0.72.

We want to find the probability that a randomly selected martian over the age 25, is not completed over 4 years of studies.

In the table, we can see that we have a total of 170 Martians.

Of these 170, only 48 have completed more than 4 years of college.

Then: 170 - 48 = 122 have not completed 4 years or more.

Then the probability that a randomly selected martian has not completed 4 years or more of college is:

P = 122/170 = 0.72

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x²-16 can be factored as (x-4)(x+4)

x³-64 can be factored as (x-4)(x²+4x+16)

x² + 8x + 16 can be factored as (x+4)²

(x+4)² is already factored

(x-4)(x + 4) is already factored

(x-4)(x² + 4x + 16) is already factored

Brainliest if this has helped!

The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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Answer:

Step-by-step explanation:

To determine the most you should pay for the annuity, you can use the present value formula for an annuity.

PV = C * [(1 - (1 + r)^(-n)) / r]

where PV is the present value, C is the annual cash flow, r is the interest rate, and n is the number of periods.

In this case, C is $1,000, r is 6%, and n is 5 years. Plugging these values into the formula, we get:

PV = $1,000 * [(1 - (1 + 0.06)^(-5)) / 0.06]

PV = $4,212.10

Therefore, the most you should pay for the annuity is $4,212.10. If you pay more than this amount, you would be better off investing your money elsewhere at a 6% interest rate.

The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

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The match for each set is

1 DnE = {1;4;9;16;25;36;49;64;81} = E ---> E c D

2 DnF = {12;14;16;18} = F ---> F c D

            D n (E n F) = D n {16} = {16}

3.---> (E n F) c D

        D u (E u F) = D n {16} = {0;1;2;3;4;......} = D

4.--->(E n F) c D

5. D n (E u F)

   =D n {1;4;9;12;14;16;18;25;36;49;64;81} = {1;4;9;12;14;16;18;25;36;49;64;81} = E u F --> E u F c D

Symbols, numbers, points in space, lines, and other geometrical forms, variables, and even other sets may all serve as elements in the mathematical representation of a set.

Generally, the equation for is  mathematically given as

\($$\begin{aligned}&D=\{0 ; 1 ; 2 ; 3 ; 4 ; \ldots\} \\&E=\{1 ; 4 ; 9 ; 16 ; 25 ; 36 ; 49 ; 64 ; 81\} \\&F=\{12 ; 14 ; 16 ; 18\}\end{aligned}$$\)

\(1. $D \cap E=\{1 ; 4 ; 9 ; 16 ; 25 ; 36 ; 49 ; 64 ; 81\}=E$ \rightarrow E \subset D\)

2 \($D \cap F=\{12 ; 14 ; 16 ; 18\}=F$\) --->\($F \subset D$\)

3.\($D \cap(E \cap F)=D \cap\{16\}=\{16\}$ ---\rightarrow $(E \cap F) \subset D$\)

4.\($D \cup(E \cap F)=D \cup\{16\}=\{0 ; 1 ; 2 ; 3 ; 4 ; \ldots\}=D$ \rightarrow $(E \cap F) \subset D$\)

5. \($D \cap(E \cup F)$=D \cap\{1 ; 4 ; 9 ; 12 ; 14 ; 16 ; 18 ; 25 ; 36 ; 49 ; 64 ; 81\}=\{1 ; 4 ; 9 ; 12 ; 14 ; 16 ; 18 ; 25 ; 36 ; 49 ; 64 ; 81\}=E \cup F \rightarrow E \cup F \subset D\)

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Answer:

Intersections of Linear Equations. The intersection of a line are the points where the line intersects, or crosses, the horizontal and vertical axes. The line shown on the graph intersects the two coordinate axes. The point where the line crosses the x-axis is called [x-intercept].

Step-by-step explanation:

Answer:

1. 4096   2. 256   3. 1024

Step-by-step explanation:

1. 4*4*4*4*4*4

2. 4*4*4*4

3. 4*4*4 x 4*4

5 is 6 times less than 3 in  3561.

In math, every digit in a number has a place value. Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000. Here, we can see that even though the digits are same in both the numbers, it’s place value changes with the change in it’s position.

According to the question:

In 3561,

Place value of 3 = 3000

and ,

Place value of 5 = 500.

Therefore,

according to the question,

500 × x = 3000

⇒ x = 3000/500

⇒ x = 6

Thus, 5 is 6 times less than 3 in  3561.

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All thre functions share the same y intercept

We can analyze the characteristics of the given functions based on the information provided in the table.

We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.

We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.

We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.

We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.

We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.

Therefore, the statements that can be used to compare the characteristics of the functions are:

h(x) has the smallest x-intercept.

g(x) has the smallest minimum value.

All three functions have different y-intercepts.

Answer:

Step-by-step explanation:

Given data

mass m=37.72g

density=5.55 g/cm^3

volume v=?

We know that density is

density = mass/volume

Substituting into the expression we have

5.55 g/cm^3=37.72/v

cross multiply we have

5.55v=37.72

v=37.72/5.55

v=6.79cm^3

Answer:

x ≈ 777.9 m

Step-by-step explanation:

The lower right angle = 40° ( alternate angle )

Using the sine ratio in the right triangle

sin40° = \(\frac{opposite}{hypotenuse}\) = \(\frac{500}{x}\) ( multiply both sides by x )

x × sin40° = 500 ( divide both sides by sin40° )

x = \(\frac{500}{sin40}\) ≈ 777.9 m ( to the nearest tenth )

Answer: -1/2

Step-by-step explanation: To solve this problem, we can use the properties of logarithms to isolate the variable x on one side of the equation. The properties of logarithms tell us that the logarithm of a product is the sum of the logarithms of the factors, and that the logarithm of a power is the exponent times the logarithm of the base.

If log₂(4x + 6) = 4, we can rewrite the left side of the equation as follows: log₂(4x + 6) = log₂(2^4 * (2x + 3))

Then, using the property of logarithms that the logarithm of a product is the sum of the logarithms of the factors, we can simplify the equation as follows: log₂(4x + 6) = 4 + log₂(2x + 3)

Now, we can use the property of logarithms that the logarithm of a power is the exponent times the logarithm of the base to simplify the equation even further: log₂(4x + 6) = 4 + 1 * log₂(2x + 3)

Since the logarithm of a power is the exponent times the logarithm of the base, this means that the logarithm of a number is the logarithm of that number divided by the logarithm of the base. Therefore, we can divide both sides of the equation by log₂ to isolate the variable x on one side of the equation:

log₂(4x + 6) / log₂ = 4 + 1 * log₂(2x + 3) / log₂

(4x + 6) / 1 = 4 + (2x + 3) / 1

4x + 6 = 4 + 2x + 3

4x + 6 = 2x + 7

2x = -1

x = -1/2

Therefore, if log₂(4x + 6) = 4, then x = -1/2.

5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².

Firstly, we will calculate the area of the square of paper in which the holes are punched.

Side of square = 12 cm

Area of square = side²

= (12) ²

= 144 cm²

Now, we will calculate the area of the bigger punch holes

Radius of big punch hole = 3 cm

Area of 1 big punch = π (radius) ²

= 22/7 × (3)²

22 / 7 × 9

= 198 / 7 cm²

Area of 4 punches = 4 × 198/7

= 792/7 cm²

Now, we will calculate the area of smaller punch whose radius is 1cm

Area = 22/7 × 1²

= 22/7 cm²

Now, we will calculate the total area covered by circles

Total area covered by circles = area of small punch + area of 4 big punch

= 22/7 + 792/7

= 814 /7 cm²

Remaining area = area of square - area of circles

= 144 - 814/7

= (1008 - 814) / 7

= 194 / 7

= 27.714 cm²

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Answer:

give me more instructions so i can actually help

Step-by-step explanation:

Answer:

Area: 153.86 m

Step-by-step explanation:

The formula for area of a circle is πr^2  (pi ⋅ radius ⋅ radius).

Here, only the diameter (14) is displayed.

To find the radius, we must divide the diameter by 2.

14/2 = 7

7 is the radius.

Now, we must plug in the numbers.

(3.14 is very commonly used for pi.)

pi ⋅ radius ⋅ radius

3.14 ⋅ 7 ⋅ 7 = 153.86.

Therefore, the area of this circle is 153.86 m.

Answer:

Step-by-step explanation:

We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:

  P = xp +yq -C(x, y)

Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:

  ∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0

  (120 -3x +y) +x(-3) +y(1) -80 = 0

  -6x +2y +40 = 0

  3x -y = 20 . . . . put in standard form

and ...

  ∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0

  x(1) +(210 +x -7y) +y(-7) -(130) = 0

  2x -14y +80 = 0

  x -7y = -40 . . . . put in standard form

__

The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...

  x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9

  y = (20(1) -(-40)(3))/20 = 140/20 = 7

9000 type A and 7000 type B earphones should be produced.

__

The corresponding selling prices are ...

  p = 120 -3(9) +7 = 100

  q = 210 +9 -7(7) = 170

The selling prices should be ...

  p = $100, q = $170

__

The maximum profit is ...

  P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))

  P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110

  P = 350

The maximum profit is $350,000.

Answer:

(5,1)

Step-by-step explanation:

Answer:

f(x) = 3 cos  (2Pi / period value ; x  )+ 2

or see answer using 2 as the period see answer in bold below.

Step-by-step explanation:

cosine function amplitude of 3 is  A = 3

The period is used to find B

You need to show period value as the denominator and work out from there with 2PI as a function numerator to show as 2pi / period can be a data angle

C is the adding value.

Acos (Bx) + C

A = 3

Bx =  2 pi / period

C = + 2

However f 2 is also the period found

then we just plug in 2 to above formula

f(x) = 3 cos  (2Pi / 2 ; x  )+ 2

f(x) = 3cos (x pi) + 2

Answer:

Length of arc AB = 4π

Step-by-step explanation:

Formula to get the arc length is given by,

Length of arc = \(\frac{\theta}{360}(2\pi r)\)

Here, θ = central angle subtended by the arc AB

r = Radius of the circle

By substituting the values in the formula,

Therefore, length of arc AB = \(\frac{120}{360}(2\pi )(6)\)

                                              = 40π

Answer: \(5\sqrt 5\)

Step-by-step explanation:

Sol \(\sqrt 125\) = \(\sqrt{25.5}\)

= \(\sqrt{25}\)  x  \(\sqrt{5}\)

\(5 \sqrt{5}\)

Answer:

d. accuracy

Step-by-step explanation:

In measurements, accuracy is a term that is used to describe the closeness of a measured value to the actual or true value. While precision describes how close different measured values are to each other.

Thus when a measured value is accurate, it implies that the value is very close or almost equal to the true value. The correct answer to the question is  is option D.

Answer:

the answer is C.

Step-by-step explanation:

the sum of the problem is 8.164.... so 8/C is the answer

Answer:

Point C

Step-by-step explanation:

\(\sqrt{38}\) = 6.16441400297 + 2 = 8.16441400297

and point C is the closest to that so 3rd choice is answer

4 zeroes basically means \(10^4\)

$80=2^3\cdot 10$ and $70=7\cdot10$

there will be $10^2$ when you take the product not $10^4$

hence it will have 2 zeroes not 4

Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

Answer: 28x-2

Step-by-step explanation:

First, you get rid of the parentheses. Since the symbol is +, nothing really changes: 12x - 3 + 16x +1

Then, you combine like terms to get your answer: 28x-2

Answer:

28x−2

Step-by-step explanation:

Combine 12x and 16x to get 28x.

28x−3+1

Add −3 and 1 to get −2.

28x−2

28x−2

Factor out 2.

2(14x−1)