find the value of x. PLEASE HELP

I need to show my work

Thank you!!!!!!

Answer:

the first gets =90birr

the second gets =120birr

the third gets =150birr

90+120+150=360birr

I hope you got your answer.

Using properties of exponents, it is found that Mia's first mistake is described as follows:

Mia made a mistake in Step 3. She simplified the exponents 16 and -8 incorrectly. She should have subtracted them.

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, as follows:

3^0 x 3^(16) = 3^(0 + 16) = 3^16.

Hence the Step 1 is correct.

For the power of power rule, we keep the base and multiply the exponents, hence:

(3^(-4))² = 3^(-4 x 2) = 3^(-8).

Hence the Step 2 is correct.

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents, as follows:

3^16/(3^(-8)) = 3^(16 - (-8)) = 3^(16 + 8) = 24.

Which is Mia's mistake, as she did not subtract the exponents.

The steps are missing and are given by the image at the end of the answer.

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Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

To find the circumference of the triangle, we need to first find the lengths of its sides. Let the three sides be x, y, and z, such that x:y:z is the given ratio. Without loss of generality, we can assume that x is the shortest side.

Let k be a constant such that y = kx and z = lx, where k and l are constants. Then, we have:

x + kx + lx = 2r

Simplifying this equation, we get:

x(1 + k + l) = 2r

So, we have:

x = (2r)/(1 + k + l)

y = kx = k(2r)/(1 + k + l)

z = lx = l(2r)/(1 + k + l)

The circumference of the triangle is the sum of its three sides:

C = x + y + z

Substituting the expressions for x, y, and z, we get:

C = (2r)/(1 + k + l) + k(2r)/(1 + k + l) + l(2r)/(1 + k + l)

Simplifying this expression, we get:

C = (2r(1 + k + l))/(1 + k + l)

C = 2r

Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

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The area of the triangle is equal to A) 8.64. The Correct option is A) 8.64.

Let the lengths of the triangle be, 3x,4x,5x

Square of largest side = \(25x^{2}\)

Sum of square of other sides = \(3x^{2} + 4x^{2} = 25x^{2}\)

It is a right-angled triangle because the square of the greatest side equals the sum of the squares of the other sides.

The circumference of a right-angled triangle has a diameter equal to its hypotenuse.

hence, 5x=6 or x= \(\frac{6}{5}\)

Now, two perpendicular sides are then,  \(\frac{18 }{5} , \frac{24}{5}\)

\(Area = \frac{1}{2} \times \frac{18}{5} \times \frac{24}{5} = 8.64\)

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Question

A triangle with side lengths in the ratio 3 : 4 : 5 is inscribed in a circle of radius 3. The area of the triangle is equal to

A. 8.64

B. 12

C. 6

D. 10.5

Answer:

b = (F - g)/2M

Step-by-step explanation:

2Mb = F - g

Divide each side by 2M

2Mb/2M = (F - g)/2M

b = (F - g)/2M

Answer: Answer in steps

Step-by-step explanation:

2Mb =f-g    Divide both sides by 2M

b= \(\frac{f}{2M} - \frac{g}{2M}\)

y - 11 = -3 ( x + 2) is the equation in point-slope form of the line .

What is slope ?

Given points :  (0, 5) and (−2, 11)

Slope of the line passing through given points

\(m = \frac{y_{2}- y_{1} }{x_{2} - x_{1} } = \frac{11 - 5}{-2 - 0} = \frac{6}{-3} = -3\)

Thus, slope of line passing through given points m=-3

We know that the equation of a line passing through points ( x₀ , y₀) with slope 'm' is ( y - y₀ ) = m(x - x₀)

Thus, equation of a line passing through (−2, 11) with slope m=-3 will be

( y - 11 ) = -3 ( x - (-2))

y - 11 = -3 ( x + 2)

Hence, the equation of line is y - 11 = -3 ( x + 2).

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The correct solution of the expression 5a² -25bˣ is 5(a² - 5bˣ)

From the question, we have the following parameters that can be used in our computation:

5a² -25bˣ

The expression is already in its simplest form in terms of combining like terms.

However, we can still look into factoring the expression

To do this, we can factor out the greatest common factor of 5 and rewrite the expression as follows:

5a² -25bˣ = 5(a² - 5bˣ)

This is the factored form of the expression, where the greatest common factor of 5 has been factored out.

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Answer:

m<y=50

Step-by-step explanation:

The total interior angles of a triangle is 180 degrees. This is a right triangle, the right angle measures 90 degrees. The given angle is 40 degrees.

Add 90 and 40.

90+40=130

Subtract 130 from 180.

180-130=50

m<y=50

Check:

90+40+50=180

90+90+180

180=180

Answer:

50°

Step-by-step explanation:

Answer:

Y = 60x

Step-by-step explanation:

Find the slope by finding Y2 - Y1/X2 - X1, 1 and 2 being two separate points on the graph. 120-0/2 = 6

Answer:

Step-by-step explanation:

The vertex has a rotation (3,-2) --> (2,3).

or in x and y coordinates, (x,y) --> (-y,x).

the rotation that has this said rule is  r0, 90°. and  90° is equal to –270°.

the answers are:

r0, 90°

r0, –270°.

The transformations could have taken place are 270°or -90°.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

Before rotation V(3, -2)

and, After rotation V'(2, 3)

Then, the possible transformations from V to V' are:

90 degrees counterclockwise rotation

270 degrees clockwise rotation

If the there is 90 degrees counterclockwise rotation (R0, -90) is given as:

(x, y) - > (-y, x)

Then we have (3, -2) -> (2, 3)

and, if 270 degrees clockwise rotation

(x, y) - > (-y, x)

Then we have (3, -2) -> (2, 3)

Thus, the transformation are 270°or -90°.

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Answer:

x = 137

Step-by-step explanation:

To find the value of x you must first set up an equation to solve for x. We are told that Hannah has written 142 more lines than Sam so we can make an equation by subtracting Sam's total from Hannah's total.

(7x + 78) - (6x + 73) = 142

Hannah - Sam = Difference

We then begin to solve. First we must distribute the subtraction to all parts of Sam's equation, creating a new equation of:

7x + 78 - 6x - 73 = 142

Then put like terms together

7x - 6x + 78 - 73 = 142

7x - 6x = x

78-73 = 5

x + 5 = 142

Then isolate the x by subtracting the 5.

x + 5 (-5)= 142 (-5)

x = 137

Then plug it back into the equation to check and see if your x is correct

(7x + 78) - (6x + 73) = 142

(7(137) + 78) - (6(137) + 73) = 142

(959 + 78) - (822 + 73) = 142

(1037) - (895) = 142

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The value of x is 137.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Hannah has created: 7x+78 lines of code

Sam has written: 6x + 73 lines of code.

Now, Hannah has written 142 more lines of code then sam.

So, Hannah - Sam = Difference

(7x + 78) - (6x + 73) = 142

7x + 78 - 6x - 73 = 142

7x - 6x + 78 - 73 = 142

x + 5 = 142

x = 142 (-5)

x = 137

Hence, the value of x is 137.

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The each base's length be 18 yards and 22 yards when a flower garden with a trapezoid shape is being planned by a landscaper.

Given that,

A flower garden with a trapezoid shape is being planned by a landscaper. She requests that the longer base be 7 yards longer than the height and that the shorter base be 3 yards longer. The flower garden is 150 square yards in size overall.

We have to find what will each base's length be.

We know that,

To be 3 yards longer than the height, the shorter base

b₁=h+3

To be 7 yards longer than the height, the longer base

b₂=h+7

Area of trapezoid=1/2(b₁+b₂)h

150=1/2(h+3+h+7)h

150=(2h+10)h/2

150=2h²+10h/2

150=2h²+5h

h²+5h-150=0

h²+15h-10h-150=0

h(h+15)-10(h+15)=0

(h-10)(h+15)=0

h=10 or h-15

h value should be positive.

So b₁=h+3=15+3=18

b₂=h+7=15+7=22

Therefore, The each base's length be 18 yards and 22 yards when a flower garden with a trapezoid shape is being planned by a landscaper.

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Reasonable prediction for the number of times he will get a completely striped sock is 15 times.

Random numbers are used to construct probability samples from a population and make statistical inferences from a survey, and also to decide which treatment should be applied to the various physical units in an experiment.

Daniel is selecting a sock from his drawer at random.

If Daniel does this 60 times.

To determine the reasonable prediction for the number of times he will get a completely striped sock.

Now,

There are 8 socks in total, including 2 stripped socks.

So, the probability of picking a stripped socks at random is 2/8 = 1/4

60 times × 1/4 = 15 × 4 times × 1/4

                       = 15 times

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True, a sample is a segment of the population selected for marketing research to represent the population as a whole.

A sample is a smaller and more manageable representation of a larger group. It is a subcategory of individuals who share characteristics with the general population. When the size of the population is too large for the test to include all potential respondents or observations, statistical testing employs samples. A sample should be representative of the population as a whole and should be free of bias in any way.

Researchers and statisticians employ a variety of sampling procedures, each with its own set of advantages and disadvantages.

As a result, the statement is correct.

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The limit doesn't exist for lim(x,y)→(0,0) [(x² + 3y²)/(2x² + 23y²)]² because the limit along the x-axis and the limit along the y-axis give different values.

To find the limit of lim(x,y)→(0,0) [(x² + 3y²)/(2x² + 23y²)]², we can first simplify the expression inside the parentheses by dividing both the numerator and denominator by y²:

[(x²/y² + 3)/(2(x/y)² + 23)]²

As (x,y) approaches (0,0), both x and y approach 0, so x²/y² approaches 0/0, which is an indeterminate form. To resolve this, we can use L'Hôpital's rule, taking the partial derivative with respect to x and y:

lim(x,y)→(0,0) [(x²/y² + 3)/(2(x/y)² + 23)]²

= [lim(x,y)→(0,0) 2(x/y)² / 4(x²/y²) ]² (using L'Hôpital's rule)

= [lim(x,y)→(0,0) x² / 2y² ]²

= [lim(x,y)→(0,0) (x/y)² / 2 ]²

Since (x,y) approaches (0,0), we have (x/y)² approaching 0/0, another indeterminate form. Using L'Hôpital's rule again, we get:

lim(x,y)→(0,0) (x/y)² / 2

= lim(x,y)→(0,0) 2x / (2y)

= lim(x,y)→(0,0) x / y

Now, we have two paths to consider: approaching along the x-axis (y = 0) and approaching along the y-axis (x = 0). Along the x-axis, the limit is:

lim(x,0)→(0,0) x / 0

which does not exist, since the expression approaches infinity as x approaches 0 from either direction. Similarly, along the y-axis, the limit is lim(0,y)→(0,0) 0 / y which is 0.

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Since the first child is a boy, this means we need to find the probability of another boy. This is 1/2 since we assume each gender has the same chance of happening.

Answer:

what did you put for question 2 and 3?

Step-by-step explanation:

2.If the values for length and area are plotted, what would the graph look like?

3.How is the relationship between the length and the area of the rectangle different from other kinds of relationships we’ve seen before?

Answer:

Step-by-step explanation:

x_1 + 125 = -66

x_1 = 191 (left down)

125 - 59 = 66 (middle right)

-66 + 66 = 0 (up)

second pyramid

x_2 + 3.5 = -10.25

x_2 = -13.75 (left down)

-10.25 + x = -17

x_3 = -6.75 (middle right)

3.5 + x_4 = -6.75

x_4 = -10.25 (left down)

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

0.05 metrs = 5 cetimeters

Step-by-step explanation:

1 meter = 100 centimeters

0.05 meters = 0.05 * 100 = 5 centimeters

The system of differential equations describes a type of predator-prey interaction between the two populations x and y. In this interaction, the population of y is the prey and the population of x is the predator.

The equation 1/x dx/dt = 1 - x/2 - y/2 represents the rate of change of the predator population x, which is influenced by the size of both populations x and y. Similarly, the equation 1/y dy/dt = 1 - x - y represents the rate of change of the prey population y, which is affected by both the predator population x and the size of its own population y.

When starting with the initial populations (x(0), y(0)) = (3,2), we can use a calculator or computer to draw slope fields and determine the long-term behavior of the populations. Based on the slope fields, we can see that the predator population x decreases over time and approaches a stable equilibrium value of x = 1. The prey population y also approaches a stable equilibrium value of y = 2/3. Therefore, in the long run, the predator population will decrease to a value of 1 and the prey population will decrease to a value of 2/3.

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Answer:

A

Step-by-step explanation:

The first derivative of the function `g(u) = u(2u - 3)^3` is `g'(u) = 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u) = 12(u - 1)(2u - 3)^2`.

Given function: `g(u)

= u(2u - 3)^3`

To find the first derivative of the given function, we use the product rule of differentiation.`g(u)

= u(2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g'(u)

= u * d/dx[(2u - 3)^3] + (2u - 3)^3 * d/dx[u]`

Using the chain rule of differentiation, we have:

`g'(u)

= u * 3(2u - 3)^2 * 2 + (2u - 3)^3 * 1`

Simplifying:

`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

To find the second derivative, we differentiate the obtained expression for

`g'(u)`:`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g''(u)

= d/dx[6u(2u - 3)^2] + d/dx[(2u - 3)^3]`

Using the product rule and chain rule of differentiation, we have:

`g''(u)

= 6[(2u - 3)^2] + 12u(2u - 3)(2) + 3[(2u - 3)^2]`

Simplifying:

`g''(u)

= 12(u - 1)(2u - 3)^2`.

The first derivative of the function `g(u)

= u(2u - 3)^3` is `g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u)

= 12(u - 1)(2u - 3)^2`.

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The first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

First, let's find the first derivative:

g'(u) = (2u - 3)³ * d(u)/du + u * d/dx[(2u - 3)³]

Using the chain rule, we can differentiate (2u - 3)³ and u as follows:

d(u)/du = 1

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

Plugging these values back into the equation for g'(u), we have:

g'(u) = (2u - 3)² + u * 3(2u - 3)² * 2

= (2u - 3)³ + 6u(2u - 3)²

Simplifying the expression, we have:

g'(u) = (2u - 3)³ + 6u(2u - 3)²

Now, let's find the second derivative:

g''(u) = d/dx[(2u - 3)³ + 6u(2u - 3)²]

Using the chain rule and product rule, we can differentiate each term:

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

d/dx[6u(2u - 3)²] = 6(2u - 3)² + 6u * d/dx[(2u - 3)²]

= 6(2u - 3)² + 6u * 2(2u - 3)

Plugging these values back into the equation for g''(u), we have:

g''(u) = 3(2u - 3)² * 2 + 6(2u - 3)² + 6u * 2(2u - 3)

= 6(2u - 3)² + 6(2u - 3)² + 12u(2u - 3)

= 12(2u - 3)² + 12u(2u - 3)

Simplifying the expression further, we have:

g''(u) = 12(2u - 3)² + 12u(2u - 3)

Therefore, the first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

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When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.

In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.

To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.

Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.

The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.

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Answer:

Scatter plot because, A simply X-Y axis line graph is a good choice for this. I hope I could help.

The scatter plot display should used to records the height of a plant every day for a month.

Scatter plot is a "set of points plotted on a horizontal and vertical axes"

According to the question,

A graph to show how the plant's height changed over the month. A

scatter plots contain 'x' axis used to represent the heights of the plants and 'y' axis used to represent every day of a month  .

Hence, scatter plot display should used to records the height of a plant evert day for a month.

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Answer:

3.44 cm

Step-by-step explanation:

When the pendulum is at its lowest point, the vertical length of the pendulum is L.

When the pendulum is at its highest point, the vertical length of the pendulum is  L cos θ.

So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.

The pendulum swings 72° from right to left, or 36° from the vertical.

The length of the pendulum is 18 cm.

So the height is:

h = L − L cos θ

h = 18 − 18 cos 36°

h = 3.44

Answer:

10 x 3 x 5 = a