Solve for x.
plz answer fasttt

Answer:

Caroline

Step-by-step explanation:

\(\frac{1}{5}: \frac{y}{42.5}\)

y × 5 = 1 × 42.5

5y = 42.5

5y ÷ 5 = 42.5 ÷ 5

y = 8.5

\(\frac{1}{3}: \frac{y}{26.4}\)

y × 3 = 1 × 26.4

3y = 26.4

3y ÷ 3 = 26.4 ÷ 3

y = 8.8

8.8 > 8.5

The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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Answer: D

Step-by-step explanation:

I did it

The statement that correctly describes the function is:

The function is decreasing and nonlinear from x = 4 to x = 11.

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that,

The function is increasing and nonlinear from x = -7 to x = -4.

The function is constant and linear from x = -4 to x = 1.

The function is increasing and nonlinear from x = 1 to x = 4.

The function is decreasing and nonlinear from x = 4 to x = 11.

Thus,

The function is decreasing and nonlinear from x = 4 to x = 11.

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The volume of the given triangular prism is 384 cm³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the area of the base is

Area of a rectangle = 1/2 ×Base×Height

= 1/2 ×12×4

= 24 cm²

Now the volume is 24×16

= 384 cm³

Therefore, the volume of the given triangular prism is 384 cm³.

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

The expression that should be used is tan 67° = 210/x, tan 23° = x/210.

Given is a figure, we need to find the value of x,

So, the figure is creating a right triangle, the angle of elevation is equal to the angle of depression,

So, the two acute angles in the triangle will be 23° and 67°.

Also, the tangent of an angle is equal to the ratio of the perpendicular side to the base,

Taking 67° as reference angle, we get,

Tan 67° = x / 210

Taking 23° as reference angle, we get,

Tan 23° = 210/x

Hence the expression that should be used is tan 67° = 210/x, tan 23° = x/210.

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The scale factor for A to B is 2 : 5.

Here, we are given that Quadrilateral B is a scaled copy of Quadrilateral A.

Quadrilateral A is as shown in the figure below.

The shortest side of quadrilateral B 5 units long.

From the figure, we can see that the shortest side of quadrilateral A is 2 units long.

Now, as the quadrilateral B is only a scaled copy of quadrilateral B, the ratio of their sides will be constant.

This means that-

Ratio of shortest side of A : Ratio of the shortest side of B = constant

and this constant is same for all corresponding sides. This constant is basically the scale factor.

Thus, scale factor = 2 : 5

Hence, the scale factor for A to B is 2 : 5

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Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

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Answer:

No, the brain volume of 1405.9cm³ would not be significantly high.

Step-by-step explanation:

We would use the Empirical rule to determine the answer for this question.

The empirical rule - formula states that:

a) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ

b) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ

The question asks us to use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high.

The range rule of thumb tells us that the range is four times the standard deviation. So we say that the usual values will be 2 standard deviations away from the mean of the data distribution.that the values are usually within 2 standard deviations from the mean.

Hence, μ = mean =1162.5 cm³

σ = Standard deviation = 126.7 cm³

μ – 2σ

1162.5 cm³ - 2(126.7 cm³)

= 1162.5 cm³ - 253.4 cm³

= 909.1cm³

μ + 2σ

1162.5 cm³ + 2(126.7 cm³)

= 1162.5 cm³ + 253.4 cm³

= 1415.9cm³

From the calculation above, we can see that for such​ data, 1405.9 cm³ is within the lower limits of 909.1 cm³ and the higher limits of 1415.9 cm³. Therefore the brain volume of 1405.9 cm³ would not be significantly high.

Answer:

Step-by-step explanation:

Please brailiest

Answer:

2 and 3/5

Step-by-step explanation:

3 and 1/4 is the same things as 13/4. So, its 13/4 divided by 5/4, which is 13/4 x 4/5, so the 4s will cancel out and you will get 13/5 or 2 and 3/5

Answer:

bbbb

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It may vary

Answer:

y = 2h + x

Step-by-step explanation:

Let x and y represent the different lengths of the legs, instead of b1 and b2.

The average length of the trapezoid is

x + y

---------

    2

and so the area is

x + y

--------- * h

    2

We are to solve this formula for y (which you have called b 2).

Multiplying both sides by yields x + y = 2h, and so

y = 2h + x

Answer:

the solution to the equation is m = 28/3, or approximately 9.3333

Step-by-step explanation:

To solve this equation, you need to get the variable, in this case "m," by itself on one side of the equation. To do this, you can start by isolating the fraction on the left side of the equation. You can do this by multiplying both sides of the equation by 2/3, which will cancel out the 2/3 on the left side:

3m/2/3 = 7

(2/3) * (3m/2/3) = (2/3) * 7

3m/2 = 7 * (2/3)

3m/2 = 14/3

Next, you can multiply both sides of the equation by 2 to get rid of the fraction on the left side:

(2) * (3m/2) = (2) * (14/3)

3m = 28/3

Finally, you can simplify the right side of the equation by dividing both sides by 3 to get the final solution:

(3m) / 3 = (28/3) / 3

m = 28/3

Therefore, the solution to the equation is m = 28/3, or approximately 9.3333.

Answer:

Maybe m = 14/9

Maybe m = 14

Step-by-step explanation:

It is not clear what you mean by the fraction on the left side.

Do you mean

3m/(2/3) = 7  ?

If so:

3m = 7 × 2/3

3m = 14/3

m = 14/9

Do you mean

(3m/2)/3 = 7   ?

If so:

3m/2 = 21

m = 21 × 2/3

m = 14

Do you mean something else?

Answer:

24

Step-by-step explanation:

Equation: x + 11 = 35

1. Subtract 11 from both sides

x + 11 = 35

  -11      -11

x = 24

Answer:

x is 24

Step-by-step explanation:

Let's write it down as an equation

If number x is increased by 11, we'll write is as x+11 and the result of that is 35, so x + 11 = 35

x + 11 = 35 implies that

x = 35 - 11

35 - 11 = 24

x = 24

Answer:

Step-by-step explanation:

x + 39 + 87 = 180

x + 126 = 180

x = 54

Answer:

All real numbers

Step-by-step explanation:

When looking at what numbers of x could be part of the functio, we can see that all real numbers can be found in this function for x

Answer:

see the photos

Step-by-step explanation:

I have given the answer

We can conclude that the same ratio of dimes to quarters is not maintained.

Let

x represent the number of dimes

y represent the number of quarters

We know that;

Suri's coin purse

x = 6, y = 4

The ratio of dimes  to quarters is;

x/y = 6/4

For Martha's coin purse

x = 5 and y = 3

The ratio of dimes  to quarters is;

x/y = 5/3

Compare the ratios;

6/4 = 5/3

Cross multiply to get;

18 ≠ 20

Thus, we conclude that the ratios are not equal.

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Answer:

Step-by-step explanation:

(x - 7)/2= -4

x - 7 = -8

x = -1

(y - 6)/2= -7

y - 6 = -14

y = -8

(-1, -8)

The midpoint of AB is M(-4, -7). If the coordinates of A are (-7, -6), then the coordinates of B is; (-1, -8)

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment. Suppose we've two endpoints of a line segment as: Then, its coordinates are:

\(x = \dfrac{p+m}{2}\)

and

\(y = \dfrac{q+n}{2}\)

Given that midpoint of AB is M(-4, -7). If the coordinates of A are (-7, -6),then the midpoint be M(x,y) on that line segment.

Then, its coordinates are;

(x - 7)/2= -4

x - 7 = -8

x = -1

(y - 6)/2= -7

y - 6 = -14

y = -8

Therefore, the coordinates of B is; (-1, -8)

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Step-by-step explanation:

\(\displaystyle \bullet\ \quad \sf \red{\int \dfrac{1}{x\sqrt{x^n-1}}\ dx}∙ \)

\(\displaystyle \sf \red{\int \dfrac{1}{x\sqrt{x^n-1}}\ dx}\)

\(\displaystyle\int \sf \dfrac{x^{n-1}}{x^n\ \sqrt{x^n-1}}\ \)

\( \longmapsto\sf=\sqrt{x^n-1}u= x n −1\)

\( \longmapsto \sf ^2=x^n-1u2 =x n −1\)

\( \longmapsto\sf u^2+1=x^nu 2 \)

\( \sf 2u\ \longmapsto \: du = nx^{n-1}\)

\( \longmapsto\sf \dfrac{2u}{n}\ du=x^{n-1}\)

\(\displaystyle \longrightarrow \quad \int \sf\dfrac{\frac{2u}{n}}{(u^2+1)\ u}\)

\(\longrightarrow \quad \sf \dfrac{2}{n}\ \int \dfrac{1}{u^2+1}\)

\(\displaystyle \longrightarrow \quad \sf \dfrac{2}{n}\ tan^{-1}(u)+c\)

\(\displaystyle \quad \sf \pink{\longrightarrow \dfrac{2}{n}\ tan^{-1} \left( \sqrt{x^n-1} \right) +c}\)

Hope It Helps!

Answer:

The answer for this question is 71/28

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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The area of the rectangular field is 0 square meters .

Let's assume that the breadth of the rectangular field is B. Then, the length of the field will be 2B, as given in the problem.

The path inside the field has a uniform width of 2m. Hence, the breadth of the field including the path will be (B+4), and the length of the field including the path will be (2B+4).

The area of the field including the path can be calculated as follows:

Area = (B+4) x (2B+4)

= 2B^2 +12B + 16

The area of just the field (excluding the path) can be calculated by subtracting the area of the path from the area of the field including the path:

\(Area of field = (2B^2 +12B + 16) - (B+4) x (2B+4)= (2B^2 +12B + 16) - (2B^2 + 12B + 16)= 0\)

Now we know the area of the field excluding the path is 0, which means the cost of constructing the path is equal to the cost of constructing the entire field.

The cost of constructing the field is given as Rs 13760 and the cost per square meter is given as Rs 40. So we can set up the following equation:

Area x Cost per square meter = Total cost of construction

0 x 40 = Total cost of construction

Total cost of construction = 0

This implies that there is no field present and the given problem is inconsistent or invalid.

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The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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Dale should use the $15 dollars off coupon to save the most money which costs 47.00.

25% off of 47.00 is 45.49.

$15 off of 47.00 is 32.00.

The $15 off coupon makes the DVD player cost less, so he should use that one.