What's the value of x in the figure?

A)

57°

B)

76°

C)

33°

D)

78°

Answer:

70

Step-by-step explanation:

69.65

We look at the tenths place to determine if we round up or leave it alone

.6 is greater then or equal to five so we need to round the 9 up

69.65 rounds to 70

Answer:

C

Step-by-step explanation:

Rounding 69.65 to the whole number would be 70

Answer:

x = 5

Step-by-step explanation:

We are given the equation \(\frac{2x-7}{3}=1\) and are asked to solve for x.

To solve, we need to isolate x, but since x is in a fraction get rid of the denominator by multiplying it to its own value and doing it for the other side as well:

\(\frac{2x-7}{3*3}=1*3\)

\(2x - 7 = 3\)

Now add 7 to both sides:

\(2x = 10\)

Lastly, divide 2 to both sides:

\(x=5\)

━━━━━━━━━━━━━━━━━━━━━

2x - 7/3 = 1

→ 2x - 7 = 1 × 3

→ 2x - 7 = 3

→ 2x = 3 + 7

→ 2x = 10

→ x = 10/2

→ x = 5

━━━━━━━━━━━━━━━━━━━━━

Answer:

The slope of the line perpendicular to the graphed line is 2.

Step-by-step explanation:

The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The graphed line passes through two visible points (0,4) and (8,0). Thus, its slope is:

\(\displaystyle m=\frac{0-4}{8-0}\)

\(\displaystyle m=\frac{-4}{8}\)

Simplifying:

\(\displaystyle m=-\frac{1}{2}\)

Two lines of slopes m1 and m2 are perpendicular is:

\(m_1.m_2=-1\)

Suposse the given line has slope \(m_1=-\frac{1}{2}\). To find m2, we solve the above equation:

\(\displaystyle m_2=-\frac{1}{m_1}\)

Substituting:

\(\displaystyle m_2=-\frac{1}{-\frac{1}{2}}\)

Operating

\(m_2=2\)

The slope of the line perpendicular to the graphed line is 2.

The particular antiderivative that satisfies the given conditions is y(x) = 2x^(3/2) + 5x^(1/2) - 3x.

To find the particular antiderivative that satisfies the given conditions, we will integrate the given function with respect to x and then use the initial condition to determine the constant of integration.

The given function is: (4x + 5) / (3√x).

First, we split the function into two parts:

(4x) / (3√x) + (5) / (3√x).

Now, we integrate each part separately:

∫ (4x) / (3√x) dx = 2x^(3/2) + C1, where C1 is the constant of integration for the first part.

∫ (5) / (3√x) dx = 5x^(1/2) + C2, where C2 is the constant of integration for the second part.

Combining the two parts, we have:

y(x) = 2x^(3/2) + 5x^(1/2) + C, where C = C1 + C2.

Next, we use the initial condition y(1) = 8 to determine the value of C:

y(1) = 2(1)^(3/2) + 5(1)^(1/2) + C = 2 + 5 + C = 7 + C = 8.

Solving for C, we have: C = 8 - 7 = 1.

Therefore, the particular antiderivative that satisfies the given conditions is:

y(x) = 2x^(3/2) + 5x^(1/2) + 1.

The particular antiderivative that satisfies the given conditions is y(x) = 2x^(3/2) + 5x^(1/2) + 1. This antiderivative is obtained by integrating the given function and including the constant of integration determined by the initial condition y(1) = 8.

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The equation that has a solution of (0,5) is option C: y = 5x + 5.

This equation represents a linear function in slope-intercept form, where the slope is 5 and the y-intercept is 5. To check whether the point (0,5) satisfies this equation, we can substitute x=0 and y=5 into the equation and see if it holds true:

y = 5x + 5

5 = 5(0) + 5

5 = 5

Since the equation is true for the given point, we can conclude that option C is the correct answer.

In other words, the point (0,5) lies on the graph of the line represented by the equation y = 5x + 5. This means that if we were to plot this equation on a coordinate plane, the point (0,5) would be one of the points on the line. The slope of 5 tells us that for every unit increase in x, y increases by 5, while the y-intercept of 5 tells us that the line intersects the y-axis at the point (0,5). Overall, the equation y = 5x + 5 represents a straight line that passes through the point (0,5).

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Answer:

\(y = \frac{2}{3} x - 8\)

f(0)=-8

Step-by-step explanation:

Slope=rise/run=(-4-(-10))/(6-(-3))=6/9=2/3=m

y=m*x+q

-4=(2/3)*(6)+q

q=-8

f(0)=(2/3)*(0)-8=-8

Answer:

36.33 its not correct

Step-by-step explanation:

but if its correct thank me ;)

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-6}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-3)}}} \implies \cfrac{-6 +4}{-4 +3} \implies \cfrac{ -2 }{ -1 } \implies 2\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-3)}) \implies y +4 = 2 ( x +3) \\\\\\ y+4=2x+6\implies {\Large \begin{array}{llll} y=2x+2 \end{array}}\)

The rate at which the water level is rising when the water level is 6 cm is approximately 2.67 cm/s. if an inverted pyramid is filled with water at a constant rate of 55 cubic centimeters per second, the top of pyramid is in square shape with length of 8 cm and height of 14 cm.

Let's call this rate "r".

Volume of pyramid = (1/3) * base area * height

Since the pyramid has a square base, the base area is given by

Base area = (side length)^2

Substituting the given values

Base area = (8 cm)^2 = 64 cm^2

Height = 14 cm

V = (1/3) * 64 cm^2 * 14 cm = 298.67 cm^3

We know that the water is being added to the pyramid at a constant rate of 55 cm^3/s. Therefore, the rate at which the volume is increasing is

dV/dt = 55 cm^3/s

We also know that the volume of water in the pyramid at any given time is given by

V_water = (1/3) * base area * h_water

where h_water is the height of the water at that time.

To find the rate at which the water level is rising (r), we need to find dh_water/dt. We can do this by taking the derivative of both sides of the equation for V_water with respect to time

dV_water/dt = (1/3) * base area * dh_water/dt

Substituting the known values

dV_water/dt = (1/3) * (8 cm)^2 * dh_water/dt

dV_water/dt = (64/3) cm^2 * dh_water/dt

dh_water/dt = 3 * dV_water/dt / 64

dh_water/dt = 3 * 55 cm^3/s / 64 = 2.67 cm/s

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Answer:

Step-by-step explanation:

The input of an inverse trigonometric function is an angle

The output of an inverse trigonometric function is a number, the same as the regular sine function. This is the same for ALL Trigonometric functions.

Answer:

60%

Step-by-step explanation:

The problem is basically saying:

12 is what percent of 20, which we can make this into a solvable equation:

12   is    what percent     of    20

12   =          ?%             x      20

Now to solve by dividing 12 by 20

12/20 = 0.6

Multiply 0.6 by 100 to get 60%

Answer:

A. n = -13/4

Step-by-step explanation:

well, it can be changes to

-10/4 = 3/4 + n

subtract 3/4

-13/4 = n

Answer:

21 windows

Step-by-step explanation:

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y

Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).

Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7

Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows

The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

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The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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A spherical astroid has a radius of approximately 8.5 x 10^2 m. Using  the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

a spherical astroid has a radius of approximately 8.5 x 10^2 m.

we know,

the volume =  4/3 π r^3

so, by calculating, we get.

volume = 2.57 x 10^9 m^3

Hence, a spherical astroid has a radius of approximately 8.5 x 10^2 m. Using  the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.

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Answer:

The cost of 1 scarf is $12.25 each.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

in the quadratic equation: ax^2+bx+c,

in order to factor when a=1, then we need to find values that add to b and multiply to c.

Since g is twice-differentiable and the limit of g as x approaches infinity is 4, we know that g'(x) approaches 0 as x approaches infinity (otherwise, the limit of g would not exist).

Using L'Hopital's rule, we can take the derivative of both the numerator and denominator of the expression 1/infinity, which gives us:
lim as x->infinity g'(x) / 1 = lim as x->infinity g''(x) / 0
Since g''(x) is the derivative of g'(x), we can apply the same logic and use L'Hopital's rule again:
lim as x->infinity g''(x) / 0 = lim as x->infinity g'''(x) / 0
We can continue applying L'Hopital's rule until we reach a finite limit. Since g is twice-differentiable, we know that g'''(x) exists, but we don't know what its limit is as x approaches infinity. However, we do know that g'(x) approaches 0 as x approaches infinity, so we can conclude that: lim as x->infinity g'(x) / 1 = 0
Therefore, 1/infinity multiplied by 0 is equal to 0.
In summary: 1/infinity times the limit of g'(x) as x approaches infinity is equal to 0.

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By using function notation, you should write an equation or expression for each statement as follows;

The temperature at 12 p.m ⇒ f(12).

The temperature was the same at 9 a.m. and at 4 p.m ⇒ f(9) = f(16).

It was warmer at 9 a.m. than at 6 a.m ⇒ f(9) > f(6).

Some time after midnight, the temperature was 24 degrees Celsius. ⇒ f(t) = 24.

In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).

For the statement, "The temperature was the same at 9 a.m. and at 4 p.m." we have:

4 p.m = 12 + 4 = 16

In function notation, we have:

f(9) = f(16) or f(16) = f(9)

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Answer:

9.2

Step-by-step explanation:

divide percentages by 100 if you're converting it to a decimal

;)

Answer:

9.2

920%

900-20

9.00

+

0.20

_____

9.20 or 9.2

On solving the provided question, we can say that Considering that the test statistic inside the lower tail the rejection zone, the null hypothesis should be rejected.

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

\(H0:p=0.25\) (null hypothesis)

\(H0:p \neq 0.25\) (alternative hypothesis)

Do not reject the null because the test statistic\((-1.2) is >\) \(the critical value (-1.7531)\)

Considering that the test statistic is inside the lower tail of the rejection zone, the null hypothesis should be rejected.

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How do linear, quadratic, and exponential functions compare?

Answer:

How can all the solutions to an equation in two variables be represented?

The solution to a system of linear equations in two variables is any ordered pair x,y which satisfies each equation independently. U can Graph, solutions are points at which the lines intersect.

How can all the solutions to an equation in two variables be represented?

you can solve it by Iterative method and Newton Raphson's method.

How are solutions to a system of nonlinear equations found?

Solve the linear equation for one variable.

Substitute the value of the variable into the nonlinear equation.

Solve the nonlinear equation for the variable.  

Substitute the solution(s) into either equation to solve for the other variable.

How can solutions to a system of nonlinear equations be approximated? U can find the solutions to a system of nonlinear equations by finding the points of intersection. The points of intersection give us an x value and a y value. Using the example system of nonlinear equations, let's look at how u can find approximate solutions.

Answer:

How do linear, quadratic, and exponential functions compare?

Use differences or ratios to tell whether the table of values represents a linear function, an exponential function, or a quadratic function.

Answer:

Answer is in attached photo.

Step-by-step explanation:

The solution is in the attached photo, do take note that since it is a right-angled triangle, Pythagoras' Theorem can be used:

\(c^{2} = a^{2} +b^{2}\)

Step-by-step explanation:

according to arrow the weight is 1400 g.

we know,

1 kg = 1000 g

so,

1 g = 1/1000 kg

so,

1400/1000 = 1.4 kg ans

hope this answer helps you dear!

Answer:

1.4 kg

Step-by-step explanation:

1400 grams, to find kg you have to divide by 1000

The probability that the book is non-fiction, round to 2 decimal place = 1.72

Based on the given conditions,

A shelf holds 19 different books

8 are fiction and rest non-fiction.

If a shelf holds19 books on her bookshelf and it has 8 fiction books, the number of non-fiction books .

A shelf has will be 19-8 = 11 non- fiction books.

Probability = Expected outcome of event/total outcome.

Our anticipated result will be 11, as we're looking for the expression that captures the likelihood that the book she chooses will be non-fiction (the total non fiction she selected)

The total outcome will be the total number of books

That is, 19.

Probability that she elects non fiction book = 19/11

= 1.72

Therefore,

The probability that the book is non-fiction, round to 2 decimal place = 1.72

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Answer:

wassup

Step-by-step explanation:

Answer:

Triangle

Step-by-step explanation:

beacause its pqr