Help for the two questions shown.

Answer:

B

Step-by-step explanation: divide 520 by 8 and you get 65

Answer: is B 65

Step-by-step explanation:

520 divided by 8

=65 per hour

Answer:

B. 65

Step-by-step explanation:

You have to average it out.

520÷8=65

[tex]t - 6( - 2t + 1) \\ t + 12t - 6 \\ 13t - 6 \\ 13t = 6 \\ t = \frac{13}{6} [/tex]

The correct expression which is equivalent to this expression t - 6(-2t + 1) is,

⇒ 13t - 6

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ t - 6 (- 2t + 1)

Now, We can simplify as;

⇒ t - 6 (- 2t + 1)

⇒ t + 12t - 6

⇒ 13t - 6

Thus, The correct expression which is equivalent to this expression

t - 6(-2t + 1) is,

⇒ 13t - 6

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

19

418 divided by 22 is equal to 19

And that’s the answer

For this case we have the following functions:

[tex]f (x) = x-3\\g (x) = x + 11[/tex]

We must find the product of the functions:

[tex]f (x) * g (x) = (x-3) (x + 11)[/tex]

We apply distributive property, which states:

[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]

So:

[tex]f (x) * g (x) = x ^ 2 + 11x-3x-33 = x ^ 2 + 8x-33[/tex]

Answer:

[tex]x ^ 2 + 8x-33[/tex]

Answer:   [tex]f(x).g(x)=x^2+8x-33.[/tex]

Step-by-step explanation:  We are given the following two functions ;

[tex]f(x)=x-3,~~~~~~~~g(x)=x+11.[/tex]

We are to find the value of [tex]f(x).g(x).[/tex]

To find the required expression, we need to multiply the expressions for both the functions f(x) and g(x).

therefore, we get

[tex]f(x).g(x)\\\\=(x-3).(x+11)\\\\=x(x+11)-3(x+11)\\\\=x^2+11x-3x-33\\\\=x^2+8x-33.[/tex]

Thus, [tex]f(x).g(x)=x^2+8x-33.[/tex]

Answer:

23

Step-by-step explanation:

The median is the number in the middle of the data once it is organized from least to greatest, so that is what we must do first.

[tex]2,5,7,8,8,11,12,14,20,23,23,25,27,28,29,31,36,36,42[/tex]

There are 19 numbers, that means that the 10th value will be the number in the middle

This means that the median is 23

Answer:

B. There is sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming.

Step-by-step explanation:

The following information has been availed;

n = 1501

sample proportion = 20% = 0.2

Level of significance = 0.01 = 1%

We are required to test the claim that less than 25% of the population believes that there is no solid evidence of global warming. In mathematical notation this claim can be written as;

p < 0.25, where p is the population proportion. From this information, we can formulate the following set of hypotheses;

H0: p ≥ 0.25

Ha: p < 0.25 (claim). This will be a left-tailed test.

The test statistic for hypothesis on population proportions is z, defined by the formula;

[tex]z=\frac{sampleproportion-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

where p is the population proportion under the null hypothesis, that is p = 0.25.

Using the given information , the test statistic becomes;

[tex]z=\frac{0.2-0.25}{\sqrt{\frac{0.25(1-0.25)}{1501} }}=-4.4736[/tex]

The next step is to compute the p-value in our left-tailed test;

p-value = P(Z < -4.4736) = 0

Our p-value is less than the level of significance and thus we reject the null hypothesis in favor of the alternative hypothesis which is also our claim. The final conclusion is thus;

There is sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming.

Answer:

1) cos (3x)

2) [tex]\frac{-(1-\sqrt{3})^{2}}{2}[/tex]

Step-by-step explanation:

Given expression:

cos(7x)cos(4x)+sin(7x)sin(4x)

By using the trigonometric identity

cos(a)cos(b) + sin(a)sin(b) = cos(a-b)

we have:

cos(7x)cos(4x)+sin(7x)sin(4x) = cos(7x - 4x)

                                               = cos(3x)!

part 2:

tan (-π/12)

by using property tan(-x)= - tan(x)

=-tan(π/12)

= - tan(π/6 / 2)

Using tan(x/2) = [tex]\sqrt{\frac{1 - cos(x)}{1+cos(x)} }[/tex]

= - [tex]\sqrt{\frac{1 - cos(pi/6)}{1+cos(pi/6)} }[/tex]

cos π/6 = [tex]\frac{\sqrt{3} }{2}[/tex]

= -[tex]\sqrt{\frac{1-\frac{\sqrt{3} }{2} }{1+\frac{\sqrt{3} }{2} } }[/tex]

= - [tex]\sqrt{7-4\sqrt{3} }[/tex]

= - 2+[tex]\sqrt{3}[/tex]

= [tex]-\frac{(1-\sqrt{3}) ^{2} }{2}[/tex]

!

Answer:

1/1

Step-by-step explanation:

We can use the points (0, -1) and (1, 0) to solve.

Slope formula: y2-y1/x2-x1

= 0-(-1)/1-0

= 1/1

= 1 (Answer)

Hope This Helped! Good Luck!

Answer:

Step-by-step explanation:

14^2+20^2=c^2

196+400=c^2

square root of 596=c^2

c^2=24.4

The diagonal length of the suitcase is 24.41 inches if the suitcase measures 14 inches long and 20 inches high.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a suitcase measures 14 inches long and 20 inches high.

The diagonal, length, and height will make a right angle triangle.

Let's suppose the length of the diagonal is x inches

From the Pythagoras theorem:

x² = 14² + 20²

x² = 596

x = 24.41 inches

Thus, the diagonal length of the suitcase is 24.41 inches if the suitcase measures 14 inches long and 20 inches high.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ2

Answer:

2

Step-by-step explanation:

To find how many real solution a quadratic equation has, we just need to find the value of its discriminant. If the discriminant is zero, the quadratic only has one real solution; if the discriminant is positive, the quadratic has two real solution; if the discriminate is negative, the quadratic doesn't has any real solutions.

The discriminant of a quadratic equation of the form [tex]ax^2+bx+c[/tex] is given by: [tex]b^2-4ac[/tex]

We know from our quadratic that [tex]a=3[/tex], [tex]b=-5[/tex], and [tex]c=-5[/tex].

Replacing values:

[tex](-5)^2-4(3)(-5)[/tex]

[tex]25+60[/tex]

[tex]85[/tex]

Since the discriminant is positive, we can conclude that our quadratic equation has two real solutions.

Answer:

x=2.4

Step-by-step explanation:

We can take the ratios and solve for the unknown side

AE       ED

----- = ---------

JN       MN

Substituting in

1         3

----- = ---------

.8       x

Using cross products

1x = 3*.8

1x = 2.4

x = 2.4

the answer for this question is 20 x cube by 5

For this case, we must simplify the following expression:

[tex]\sqrt [3] {\frac {4x} {5}}[/tex]

For this, we follow the steps below:

We rewrite the expression as:

[tex]\frac {\sqrt [3] {4x}} {\sqrt [3] {5}}[/tex]

We multiply by:

[tex]\frac {(\sqrt [3] {5}) ^ 2} {(\sqrt [3] {5}) ^ 2}\\\frac {\sqrt [3] {4x}} {\sqrt [3] {5}} * \frac {(\sqrt [3] {5}) ^ 2} {(\sqrt [3] {5}) ^ 2} =[/tex]

We have by definition of multiplication of powers of equal base that:

[tex]a ^ m * a ^ n = a ^ {m + n}[/tex]

So:

[tex]\\\frac {\sqrt [3] {4x} * (\sqrt [3] {5}) ^ 2} {\sqrt [3] {5}) ^ 3} =\\\frac {\sqrt [3] {4x} * (\sqrt [3] {5}) ^ 2} {5} =[/tex]

We know that:

[tex](\sqrt [3] {5}) ^ 2 = \sqrt [3] {5 ^ 2}[/tex]

So, we have:

[tex]\frac {\sqrt [3] {4x} * \sqrt [3] {5 ^ 2}} {5} =\\\frac {\sqrt [3] {4x} * \sqrt [3] {25}} {5} =\\\frac {\sqrt [3] {100x}} {5}[/tex]

Answer:

Option c

ANSWER

{(0, −4), (2, 6), (4, 16)}

EXPLANATION

The given function is

[tex]y = 5x - 4[/tex]

when x=0,

y=5(0)-4

y=-4

(0,-4)

When x=2,

y=5(2)-4

y=6

(2,6)

When x=4

y=5(4)-4

y=16

(4,16)

The correct choice is

{(0, −4), (2, 6), (4, 16)}

Answer:

{(0, −4), (2, 6), (4, 16)}

Step-by-step explanation:

Since, in an order pair the first value represents the input value and second value represents the output value,

i.e. (a, b) is an order pair ⇒ a = input, b = output,

Here, the given function,

[tex]y = 5x - 4[/tex]

(i) For the relation {(0, −4), (2, 6), (4, 20)},

At ( 4, 20), y = 5(4) - 4 = 20 - 4 = 16 ( false ),

(ii) For the relation {(0, −4), (2, 6), (4, 16)},

At (0, −4), y = 5(0) - 4 = -4 ( true ),

At (2, 6), y = 5(2) - 4 = 10 - 4 = 6 ( true ),

At ( 4, 16), y = 5(4) - 4 = 20 - 4 = 16 ( true ),

(iii) For the relation {(0, 4), (2, 6), (4, 20)},

At (0, 4), y = 5(0) - 4 = -4 ( false ),

(iv) For the relation {(0, 4), (2, −6), (4, 20)}

At (2, -6), y = 5(2) - 4 = 6 ( false ),

Hence, (ii) represents possible inputs and outputs of the function.

-3x - 12 > 8x + 21

Step 1: Combine like terms

x's go with x's (-3x and 8x). To do this add 3x to both sides

(-3x + 3x)  - 12 > (8x + 3x) + 21

-12 > 11x + 21

Normal numbers go with normal numbers (-12 and 21). To do this subtract 21 to both sides

(-12 - 21) > 11x + (21 - 21)

-33 > 11x

Step 2: Isolate x by dividing 11 to both sides

-33/11 > 11x / 11

-3 > x

Hope this helped!

Answer:

[tex]x\:<\:-3[/tex]

Step-by-step explanation:

The given inequality is:

[tex]-3x-12\:>\:8x+21[/tex]

We group similar terms to obtain:

[tex]-12-21\:>\:8x+3x[/tex]

Combine the similar terms to obtain:

[tex]-33\:>\:11x[/tex]

Divide both sides by 11;

[tex]-3\:>\:x[/tex]

Or

[tex]x\:<\:-3[/tex]

Answer: (x-30)^2=4

Step-by-step explanation:

Answer:

8 tons < 20,000

Step-by-step explanation:

1 ton = 2000 pounds

so 8 tons would be 16,000 which makes it less than 20,000

Final answer:

An adult African elephant that weighs approximately 8 tons is not equal to 20,000 pounds; instead, 8 tons equals 16,000 pounds. The provided comparison in the question is incorrect.

Explanation:

To determine if an adult African elephant that weighs approximately 8 tons is equal to 20,000 pounds, we need to convert tons to pounds using the unit equivalence 1 ton = 2,000 pounds. Multiplying 8 tons by the unit equivalence gives us:

8 × 2,000 = 16,000 pounds.

Knowing that the range of weight of a male African elephant is between 12,000 and 16,000 pounds, we can see that 8 tons does not equal 20,000 pounds. Therefore, the comparison 8 tons = 20,000 pounds is incorrect.

A correct comparison would be 8 tons = 16,000 pounds, which is not one of the options provided in the question.

As for the water bottle containing 2,000 milliliters, this is simply stating the volume capacity of the bottle but does not relate to the conversion between tons and pounds.

It takes 45 seconds. the easiest way to do these is to use a graphic calculator and replace the variables with x and y, for example, this equation would become -5x^2+30x, and if you don't have access to a graphing calculator, you can always use desmos online.

Answer:

It takes 6 seconds to the rocket to reach the ground after it has been launched

Step-by-step explanation:

The height of a fireworks rocket in meters can be approximated by :

h = -5t² + 30t, where h is the height in meters and t is the time in seconds

Now, we need to find the time it takes the rocket to reach the ground after it has been launched

So, When it touches the ground height will be 0

⇒ h = 0

⇒ 0 = -5t² + 30t

⇒ t² - 6t = 0

⇒ t(t - 6) = 0

Now, since the rocket is launched from above the ground ⇒ t ≠ 0

⇒ t - 6 = 0

⇒ t = 6

Hence, It takes 6 seconds to the rocket to reach the ground after it has been launched

[tex]

3\times4+2=12+2=\boxed{14}

[/tex]

Answer: 14

Step-by-step explanation: if you substitute B in for 4, You then multiply 3 by 4 and get a product of 12. Then the question says to add 2. Add 2 to what you already have and you get the sum of 14.

Have a great Day!

Substitute y = x + 1 into 2x - 5y = 4

-3x - 5 = 4

Solve for x in -3x - 5 = 4

x = -3

Substitute x = -3 into y = x + 1

y = -2

Therefore,

x = -3

y = -2

Answer:

True statements are,

A, B, D, E , and F

Step-by-step explanation:

Properties of a square

1) All sides are equal

2) All angles are equal to 90°

3) Opposite sides are parallel

A. WXYZ is a parallelogram

True (property 3)

B. <W is right angle

True  (Property 2)

C. WXYZ is a trapezoid

False

D. WX ≅ XY

True  (Property 1)

E. <W congruent to <Y

True (Property 1)

F. <W is supplementary to <Y

True (Property 2)

True statements are,

A, B, D, E , and F

Answer: A. WXYZ is a parallelogram

B. [tex]\angle{W}[/tex] is a right angle.

D. [tex]\overline{WX}\cong\overline{XY}[/tex]

E. [tex]\angle{W}\cong\angle{Y}[/tex]

F. [tex]\angle{W}[/tex] is supplementary to  [tex]\angle{Y}[/tex].

Step-by-step explanation:

Given: WXYZ is a square.

A. A square is a parallelogram because its opposite sides are equal.

B. [tex]\angle{W}[/tex] is a right angle , since all the interior angles in a square area right angle.

C. A trapezoid has two equal parallel sides and two non-parallel sides.

But square has opposite sides parallel , therefore WXYZ is not a trapezoid.

D. Since all the sides of a square are congruent to each other , therefore

[tex]\overline{WX}\cong\overline{XY}[/tex]

E. Since all the angles of a square are congruent to each other , therefore

[tex]\angle{W}\cong\angle{Y}[/tex]

F. Since , all the interior angles in a square area right angle.

Thus, [tex]\angle{W}+\angle{Y}=90^{\circ}+90^{\circ}=180^{\circ}[/tex]

Hence,  [tex]\angle{W}[/tex] is supplementary to  [tex]\angle{Y}[/tex].

Answer:

Step-by-step explanation:

The answers would be 2, 3, and 5.

The first situation represents a quadratic equation and the fourth situation represents a linear equation.

Answer:

13

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [2, 6 ]

f(b) = f(6) = 6² + 5(6) - 8 = 36 + 30 - 8 = 58

f(a) = f(2) = 2² + 5(2) - 8 = 4 + 10 - 8 = 6

Hence

average rate of change = [tex]\frac{58-6}{6-2}[/tex] = [tex]\frac{52}{4}[/tex] = 13

Final answer:

The average rate of change of the function f(x) = x^2 + 5x - 8 from x = 2 to x = 6 is calculated to be 13.

Explanation:

The average rate of change of a function f(x) from x = a to x = b is found by the formula Δf / Δx = (f(b) - f(a)) / (b - a). In this case, we have f(x) = x^2 + 5x - 8, and we want to find the average rate of change from x = 2 to x = 6.

Therefore, the average rate of change of the function from x = 2 to x = 6 is 13.

The function m(x) = x + 5/(x-1) has the same domain as the composition of functions (m.n)(x) because they both have the domain of all real numbers except 1.

The domain of a function is the set of all possible input values (often called 'x-values') which will give valid output values. In other words, it's all the values x can take on. The function m(x) = x +5/(x-1) will be undefined when the denominator equals zero, so x cannot equal 1. Therefore, the domain of m(x) is all real numbers except 1.

On the other hand, the function n(x) = x - 3 doesn't have any restrictions and can take on all real numbers. However, (m.n)(x) refers to a composition of functions, specifically m(n(x)). This will inherit the domain restrictions from m(x). Therefore, the function that has the same domain as (m.n)(x) is m(x) because the composition will allow inputs for all real numbers except 1, as dictated by m(x).

https://brainly.com/question/21145944

#SPJ12

Answer: 2.29 x 10^4

Step-by-step explanation:

22.9 x 10^4 is the answer oof I’m sorry

When you ask all your classmates for their favorite colors, you are gathering data that can be grouped into categories based on color names, such as "red," "blue," "green," and so on. This type of data is known as categorical data.
Categorical data, also sometimes referred to as qualitative data, consists of information that is not numerical in nature and can be separated into different categories according to some quality or attribute. In the case of favorite colors, you're dealing with categories as you cannot perform arithmetic operations on them (you can't add 'red' to 'blue' and get a sum, for instance).
Let's review the other options:
A) Bivariate data involves two variables and the relationship between them. Since the question only refers to one variable—favorite color—this is not bivariate data.
C) Numerical data involves numbers, and operations such as addition, subtraction, multiplication, and division can be performed on it. Since favorite colors are not numbers, this is not numerical data.
D) Quantitative data is another term for numerical data; it involves quantities that can be measured and expressed using numbers. Since we're not measuring anything in numbers when asking about favorite colors, this is not quantitative data.
Thus, the correct answer is:
B) Categorical

Answer:

I = 0.5

Answer

B

Step-by-step explanation:

When R = 20, plug in R

I = 10/R

I = 10/20

I = 1/2

I = 0.5

Answer

B

it's the third choice because of your radius like how it's 2πR^2

Answer:  [tex]\bold{D)\quad y = 2sin(3x)}[/tex]

Step-by-step explanation:

[tex]\text{The standard form of a sine equation is: y=A sin(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}[/tex]

In the given graph,

[tex]\implies \large\boxed{y = 2sin(3x)}[/tex]

see graph below for verification

Answer:

C cannot represent a function

Step-by-step explanation:

For every income (the left column) can have only one outcome (the right column).

Each constituent of one set, such as Set (A), is transferred to a particular member of another set (B), such as Set (B). Then the correct option is C.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Just one function, also known as an input feature function, was among the most prevalent forms of functions. We will also study the opposite of this function here.

Thus, the correct option is C.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

The area of a rectangle can be found by using this formula: Area = Length • Width

The question gives us the area and the width, so all we need to look for is the length. To do this, we manipulate the formula so we are solving for length, like so: Length = Area / Width

Area = x^2 -9

Width = x-3

Length = unknown

Now, we plug in what we know (Area and Width) into the formula for Length:

Length = (x^2 - 9) / (x - 3)

x^2 - 9 simplifies to (x - 3)(x+3) so we are left with: Length = (x - 3)(x + 3) / (x - 3) and we see that (x - 3) cancels out

The final answer is that *Length = x + 3*

To check your work, you can plug in each part into the formula for area and see if the answers match

The question is asking for the length of a rectangle given the area and width. This can be found by using the formula for the area of a rectangle which is width * length = area. Dividing the given area by the width results in the length.

To solve the problem, we need to use the formula for the area of a rectangle which is width*length=area. Given the area is x^2-9 and the width is x-3, we can find the length by dividing the area by the width. Therefore, the length of the rectangle is (x^2 - 9) / (x - 3).

https://brainly.com/question/35549815

#SPJ11

Answer: 1/4

Step-by-step explanation: Since there are 24 hours in a day, 1/4 would be equal to 6 hours out of the day.

Answer: (25%)

Correct Answer 100%! Pls, give me brainliest. Thank You