Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.​

Answer:

Yes you are correct.

Step-by-step explanation:

Answer:

its a commutative property becaus its just changing the order

Answer:

B

Step-by-step explanation:

Factor out the x^2 problem then find what all the denominators have in common and then whatever is not in common just add afetr you find out what is in common..

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

(7+27i)

Hope this helps and if you could give brainliest that would be great

Answer:

7 +21i

Step-by-step explanation:

An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.

Which equation of cos show period amplitude ?

The equation given below show aplitude and period

\(y = A cos bx + c\)

where A = amplitude,

b = 2 pi/Period,

Period = 12 hrs,

c = midline,

x = t and y = f(t)

We have to find the amplitude

\(A = 1/2 (Xmax - Xmin)\)

\(12 - 2 / 2 = 10/2 = 5\)

\(b = 2 pi / 12 = pi/6\)

\(c = 1/2 (Xmax + Xmin)\)

\(12+2/2 = 7\)

Therefore, the an equation for water level in june for pensacola as a function of time (t)

\(f(t) = 5 cos pi/6 t + 7\)

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Answer:

t =amount of texts

a. 0.01t+20=y

b. 50=y

so that means that they equal each other

0.01t+20=50

-20

0.01t=30

t=3001

Hope This Helps!!!

Answer:

For plan B to save money cell phone user need to send 3000 texts per month as \(\frac{x}{y}\) expresses the average texts sent per month by cell phone user and its obtained value is 3000.

Step-by-step explanation:

In the question it is given that a cell phone company offers two plans for minutes.

Plan A: $20 per month and $1 for every one hundred texts.

Plan B: $50 per month with free unlimited texts.

It is required to find that how many texts would be needed to send per month for plan B to save money. be needed to send per month for plan B to save money.

Step 1 of 5

In Plan A $20 per month and $1 for every one hundred texts are costed so the cost of Plan A is given by following equation,

\($A=20 y+\frac{x}{100}$\)

In Plan B $50 per month with free unlimited texts are costed so the cost of Plan B is given by following equation,

\($$B=50 y$$\)

Step 2 of 5

Now comparing the obtained equations \($A=20 y+\frac{x}{100}$\)

and B=50y.

\($20 y+\frac{x}{100}=50 y$$\)

Step 3 of 5

Subtract 20y from both the sides of the obtained equation \($20 y+\frac{x}{100}=50 y$\) and simplify using subtraction properties.

\($$\begin{aligned}&20 y+\frac{x}{100}-20 y=50 y-20 y \\&\frac{x}{100}=30 y\end{aligned}$$\)

Step 4 of 5

Multiply both the sides of the obtained equation \($\frac{x}{100}=30 y$\) by 100 and simplify using multiplication properties.

\($$\begin{aligned}&\frac{x}{100} \cdot 100=30 y .100 \\&x=3000 y\end{aligned}$$\)

Step 5 of 5

Divide both the sides of the obtained equation x=3000y by y and simplify using division properties.

\($$\begin{aligned}&\frac{x}{y}=\frac{3000 y}{y} \\&\frac{x}{y}=3000\end{aligned}$$\)

As \($\frac{x}{y}$\) expresses the average texts sent per month by cell phone user. So, for plan B to save money cell phone user need to send 3000 texts per month.

Answer:

C=2πr

30cm=2πr

30cm/2π =2πr/2π

15πcm=r

If you only have $10 and the book costs $20, No, you cannot buy the book. However, if you have $25, Yes, you can afford the book and still have $5 left after the purchase.

In scenario A, where you have $10 and the book costs $20, you cannot buy the book. The cost of the book exceeds the amount of money you have, leaving you $10 short. In this case, you would need to find an additional $10 in order to afford the book.

In scenario B, where you have $25 and the book costs $20, you can buy the book. With $25, you have enough funds to cover the full price of the book. After purchasing the book, the remaining amount found by subtraction of the cost of the book from the amount you have (ie) the remaining amount = the amount you have - the cost of the book = $25 - $20 = $5

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The given question is

You want to read a certain book.

A. This book costs $ 20. If you only have$ 10, can you buy the book?

B. If you have $ 25, can you buy the book?

Given: 2n = m + h, h = n + m, n = 2m is proven below.

Given: a - b = c -d, b = d - 1, c = 6; a = 5 is proven below.

Given: 2n = m + h, h = n + m; Prove: n = 2m

Statements:

2n = m + h (Given)

h = n + m (Given)

2n = m + n + m (Substituting the value of h from statement 2)

2n = 2m + n (Combining like terms in statement 3)

2n - n = 2m (Subtracting n from both sides of statement 4)

n = 2m (Simplifying statement 5)

Reasons:

Statement 1 is given

Statement 2 is given

Statement 3 is obtained by substituting the value of h from statement 2 in statement 1

Statement 4 is obtained by combining like terms in statement 3

Statement 5 is obtained by subtracting n from both sides of statement 4

Statement 6 is obtained by simplifying statement 5

Therefore, n = 2m is proven.

Given: a - b = c -d, b = d - 1, c = 6; Prove: a = 5

Statements:

a - b = c - d (Given)

b = d - 1 (Given)

c = 6 (Given)

a - b = c - d (Repeating statement 1)

a - (d - 1) = 6 - d (Substituting b with d - 1 in statement 4)

a - d + 1 = 6 - d (Expanding the bracket in statement 5)

a + 1 = 7 (Adding d to both sides of statement 6 and simplifying)

a = 6 (Subtracting 1 from both sides of statement 7)

Reasons:

Statement 1 is given

Statement 2 is given

Statement 3 is given

Statement 4 is repeating statement 1

Statement 5 is obtained by substituting b with d - 1 in statement 4

Statement 6 is obtained by expanding the bracket in statement 5

Statement 7 is obtained by adding d to both sides of statement 6 and simplifying

Statement 8 is obtained by subtracting 1 from both sides of statement 7

Therefore, a = 5 is proven.

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The probability of either of these events occurring (or both), we add the probabilities together: 1/8 + 1/8 = 1/4.

The probability that the first three flips come up heads or the last three flips come up heads (or both) can be calculated by adding the probabilities of these two events occurring separately.

To find the probability of the first three flips coming up heads, we use the formula for the probability of independent events: P(A and B) = P(A) * P(B). Since each flip is independent and has a 1/2 chance of coming up heads, the probability of the first three flips coming up heads is (1/2) * (1/2) * (1/2) = 1/8.

Similarly, the probability of the last three flips coming up heads is also 1/8.

To find the probability of either of these events occurring (or both), we add the probabilities together: 1/8 + 1/8 = 1/4.

Therefore, the correct answer is a. 1/4.

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Answer:

Step-by-step explanation:

You want to know the down payment, amount financed, monthly payment, and total paid for a home costing $340,000 with a 12% down payment and a 30 year loan at 5.8%.

The down payment is 12% of the purchase price:

  $340,000 × 0.12 = $40,800

Julie paid $40,800 as a down payment.

The amount financed is the remaining amount of the house value after the down payment is made:

  $340,000 -40,800 = $299,200

The amount financed is $299,200.

The monthly payment is found using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12·t))

where P = principal financed, r = annual interest rate, t = number of years

  A = $299,200(0.058/12)/(1 -(1 +0.058/12)^(-12·30)) ≈ $1,755.57

Julie's monthly payment is $1755.57.

If Julie makes 360 payments of $1755.57, together with her down payment, her total cost is ...

  360 × $1755.57 + 40,800 = $672,805.20

Julie will spend $672,805.20 on this home.

The experiment to be performed for observing the diffraction pattern on a screen located a distance l away from the slide is:

1. Obtain a slide that contains a single slit. These slides are commonly available in scientific equipment stores or online.

2. Ensure that the number of slits and their width are clearly labeled on the slide. This information is essential for your observations and measurements.

3. Set up a laser apparatus with a laser source, a slit holder, and a screen. Position the laser source so that the beam passes through the slit on the slide.

4. Adjust the apparatus to create a parallel beam of light passing through the slit. You can use lenses and/or adjustable mounts to achieve this.

5. Place the slide in the slit holder, ensuring that the single slit is aligned with the laser beam. Secure the slide in place to prevent movement during the experiment.

6. Position the screen at a distance of at least 1.0 meter away from the slide. Ensure that the screen is perpendicular to the laser beam for accurate observations.

7. Turn on the laser and observe the diffraction pattern formed on the screen. You should see a series of bright and dark fringes, known as the diffraction pattern or interference pattern.

8. Measure and record the distance l between the slide and the screen. Use a measuring tape or ruler to obtain an accurate measurement.

9. Take note of the distance y from the central peak (brightest spot) to the first minimum on either side of the pattern. This distance represents the distance from the central peak to the first dark fringe.

10. Record your observations and measurements for further analysis or comparison with theoretical calculations.

Remember to take necessary safety precautions while working with lasers, such as wearing appropriate protective eyewear and following laser safety guidelines.

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The measure of the third angle in Elise angle measurement is

The third angle of the triangle is solved with knowledge of sum of angles on a triangle being equal to 180 degrees and a triangle having three angles

say the third angle measure is x, so we have that

30 + 100 + x = 180

130 + x = 180

collecting like terms

x = 180 - 130

x = 50

we can therefore say that the third angle is 50 degrees

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Answer:

C. 5.8

Step-by-step explanation:

We use the Pythagoras theorem here. which is a²+b²=c².

a and b are the replacements for the 5miles and  3miles here.

They are a and b because a  and b are always on the right angle side.

The longest side of this triangle is called a hypotenuse which is the c in this case.

the other sides (a and b) are called the adjacent and the opposite.

it doesn't matter if you use adjacent or opposite for a and b in this case.

the only important thing is the hypotenuse here.

So it's a²+b²=c², which is 5²+3²=c².

5² is 25 and 3² is 9, so we add them and we get 34.

so c²=34, we don't want the square on c  so we send it to 34 which becomes √34.

√34 gives us 5.8 miles which is up to just only one decimal place.

You might need to use calculators for square roots because they take long to calculate.

The given trapezoid ABCD is an isosceles trapezoid and has vertices a(2, 4), b(5, 4), c(7, 1), and d(0, 1).

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides. This article provides formulas for the area of the trapezium as well as its types, properties, and other trapezoids.

Here,

Segments AB and CD are parallel and 3 units apart.

Point D is 2 units left of point A, and point C is 2 units right of point B. The trapezoid is symmetrical about the line x = 3.5, so is isosceles.

The given Trapezoid ABCD that has given vertices a(2, 4), b(5, 4), c(7, 1), and d(0, 1) is a isosceles trapezoid.

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Answer:

brainliest?

Step-by-step explanation:

Plug in your given value for x.

f(-2) = 2(-2) + 3 = -4 + 3 = -1

The rest is on you!

Answer:

If you use 30 instead of 15, that means that  your sum will double

Step-by-step explanation: 30 is double 15

Answer:

7.5 minutes

Step-by-step explanation:

Given

See attachment for complete question

Let

\(t \to time\)

\(y \to capacity\)

From the question, we have the following points

\((t_1,y_1) = (0,7)\) --- When he first sees it

\((t_2,y_2) = (3,5)\) --- 3 minutes later

First, we calculate the rate (m)

\(m = \frac{y_2 -y_1}{t_2 -t_1}\)

\(m = \frac{5 -7}{3 -0}\)

\(m = -\frac{2}{3}\)

The discharge rate is 2/3 gallons per minute

To calculate the additional minute, we simply consider the capacity of the tank at the later time. i.e. 5 gallons

To calculate time (t), we have:

\(Rate * Time = Capacity\)

\(\frac{2}{3} * t = 5\)

Solve for t

\(t = 5 *\frac{3}{2}\)

\(t = \frac{15}{2}\)

\(t = 7.5\)

B) The left end of the cable is 15 m above the roadway. The y-intercept of the graph represents the height of the left end of the cable, which is 15 m above the roadway.

Intercept is the point where a line intersects with an axis on a graph. It is the point at which a line crosses the x-axis or y-axis. Intercepts are important when analyzing relationships between variables, and they can help to draw conclusions about how two variables are related. For example, if a line has a negative slope, the y-intercept will be a positive number, indicating that as the x-value increases, the y-value will decrease. In linear regression, the intercept is the average value of the dependent variable when the independent variable is equal to zero. It is also used to determine the value of a linear equation when given the value of one of its variables.

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Answer:

4....20. 12 is halfway

Step-by-step explanation:

5 19

6 18

7 17

8 16

9 15

10 14

11 13

12

Step-by-step explanation:

A camera is positioned 5000 ft from the base of a rocket launching pad. the angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. let's assume the rocket rises vertically and its speed is 800 ft/s when it has risen2548 ft. (round your answers to three decimal places.)

Answer: B

Step-by-step explanation:

We are given an angle and a distance, and to solve for the height we need to make a triangle.

First, I'm going to assign sides to the triangle:

Side a: This is going to be the distance from the camera to the launch pad.

Side b: This is going to be the distance from the launch pad to the rocket (the rocket's height)

Side c: This is going to be the distance from the rocket to the camera (this is the hypotenuse of the triangle)

Now that we have sides, we can solve for the height. The height is the distance from the launch pad to the rocket, so it will be side b. We know that the camera is 5000 ft away from the launch pad, so we can say that side a is 5000 ft. It also tells us the camera is angled up at 27 degrees, so we can say angle B is 27 degrees.

We have a known side that length that is adjacent to a known angle inside of a right triangle, and we want to find the length of the opposite side. In this situation we can use the function tangent.

tan(theta) = opposite / adjacent

If we plug values into this equation we get:

tan(B) = b / a

tan(27 degrees) = b / 5000

b = tan(27 degrees) * 5000

b = 2547.627

b rounded to the nearest foot is 2548 ft, which is answer B

Hey there!

Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, flop it over, and change its sign.

In this case, the slope is 1/6.

First, flop it over:

6/1 (or just 6)

Then, change its sign:

-6

Now, the line passes through the point (0, 5)

The reason 5 is highlighted is because it's the y-intercept of 5.

So we have the Slope & the Intercept.

See what I mean? Yeah! We can write the line's equation in Slope-Intercept Form (y=mx+b)

In this formula, m stands for the slope, and b stands for the y-intercept.

In this case, -6 is the slope, and 5 is the y-intercept.

Hence, the equation is

\(\boxed{\boxed{\bold{y=-6x+5}}}\)

Hope everything is clear.

Let me know if you have any questions!

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The calculated equation that represents a line parallel to y = -2x + 4 is (c) -2x - y = 3.

The equation of a line that is parallel to y = -2x + 4 will have the same slope as -2 since parallel lines have the same slope.

Therefore, we need to look for an equation that has a slope of -2.

(a) 1/2x + y = 1 has a slope of -1/2, which is not equal to -2. Thus, it is not parallel to y = -2x + 4.

(b) -2x + y = 8 has a slope of 2, which is not equal to -2. Thus, it is not parallel to y = -2x + 4.

(c) -2x - y = 3 can be rearranged to y = -2x - 3, which has a slope of -2, so it is parallel to y = -2x + 4.

(d) -1/2x + y = 5 has a slope of 1/2, which is not equal to -2. Thus, it is not parallel to y = -2x + 4.

Therefore, the equation that represents a line parallel to y = -2x + 4 is (c) -2x - y = 3.

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The frequency of a data value is how many times the data value appears in the data set.

In this line plot, each occurrence of a data value is represented by an x above the number.

Looking at the data value 3, there are 2 x's above it, which means the data value 3 has a frequency of 2 (it occurs two times).

Therefore the correct option is A.

Question:

Rewrite the function to reveal when sales of compact discs and $0.

Answer:

The cost in 2010 is $0

Step-by-step explanation:

Given

\(C(x) = -2x^2 + 38x + 40\)

Required

Find x when \(C(x) = 0\)

This gives:

\(C(x) = -2x^2 + 38x + 40\)

\(-2x^2 + 38x + 40=0\)

Expand

\(-2x^2 + 40x -2x+ 40=0\)

Factorize:

\(-2x(x - 20) -2(x- 20)=0\)

\((-2x - 2)(x- 20)=0\)

Solve for x

\(-2x-2=0\ or\ x - 20 = 0\)

\(x = -1\ or\ x = 20\)

x represents time.  So, it cannot be negative.

\(x = 20\)

20 years after 1990 is: 2010. Hence, the cost in 2010 is $0

Decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

The expression SS stands for "sum of squares", which is a statistical concept used in analysis of variance (ANOVA) to quantify the variation in a dataset. The components of this expression, a, b, c, and d, represent different sources of variation in the dataset, and their meanings are as follows:

a. (df)(s^2): This component represents the sum of squares due to the effect of the independent variable, also known as the factor or treatment. It is calculated by multiplying the degrees of freedom (df), which is the number of levels of the factor minus one, by the variance of the data within each level (s^2). This component quantifies the amount of variation in the dependent variable that can be explained by the independent variable.

b. (df)(s): This component represents the sum of squares due to the interaction between the independent variable and other factors, also known as the interaction effect. It is calculated by multiplying the degrees of freedom (df) by the standard deviation (s) of the data. This component quantifies the amount of variation in the dependent variable that is due to the joint effect of the independent variable and other factors.

c. (n)(s^2): This component represents the sum of squares due to the variation within groups, also known as the error or residual sum of squares. It is calculated by multiplying the sample size (n) by the variance of the data within each group (s^2). This component quantifies the amount of variation in the dependent variable that is not explained by the independent variable or other factors.

d. (n)(s): This component represents the sum of squares due to the variation between the sample mean and the overall mean, also known as the total sum of squares. It is calculated by multiplying the sample size (n) by the standard deviation (s) of the data. This component quantifies the total amount of variation in the dependent variable.

In summary, the expression SS = a. (df)(s^2) + b. (df)(s) + c. (n)(s^2) + d. (n)(s) represents the decomposition of the total sum of squares into its components due to the independent variable, interaction effect, error, and total variation. This decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

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