Find the value of x. You may assume triangle ABC is similar to triangle STU.

(click on the photo to make it better quality) PLEASE HELP!!!

The measure of central tendency of a distribution of data that can take multiple value is the mode

In a given dataset;

All the above measures can take only one value in a dataset

However, the mode can take multiple values, because it represents the data element with the highest frequency (and multiple data elements can have the same frequency)

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In the given diagram, the length of CD is 12.7 cm

From the question, we are to determine the length of CD

First, we will calculate the length of CB

From the Pythagorean theorem,

|CA|² = |CB|² + |BA|²

12² = |CB|² + 6²

144 = |CB|² + 36

|CB|² = 144 - 36

|CB|² = 108

|CB| = √108

|CB| = 6√3 cm

Now, to find CD

Using SOH CAH TOA

sin55° = |CB| / |CD|

sin55° = 6√3 / |CD|

|CD| = 6√3 / sin55°

|CD| = 12.7 cm

Hence, the length of CD is 12.7 cm

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The simplified expression for x+2x-8+3x+1-2x is 4x - 4.

Expression is a term used to describe a wide variety of communication methods such as verbal, nonverbal, written, and artistic. It is the way we communicate our thoughts, feelings, and ideas to others. It is an important part of our lives, from the simplest forms of communication like body language to more complex forms like written literature. Expression is a powerful tool for self-expression, communication, and connection.

The expression x+2x-8+3x+1-2x can be simplified by combining like terms.

First, the x-terms can be combined, resulting in 4x:
x + 2x + 3x - 2x = 4x

Next, the remaining constants can be combined, resulting in -4:
4x - 8 + 1 = -4

Finally, the resulting expression can be written as 4x - 4.

Therefore, the simplified expression for x+2x-8+3x+1-2x is 4x - 4.

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Answer:

Using the slope-intercept form, the slope is −2 - 2 .

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

\text{Solve for y:}

Solve for y:

Put into slope-intercept form

2x-y=

2x−y=

\,\,7

7

-2x\color{transparent}{-y}\phantom{=}

−2x−y=

\,\,-2x

−2x

Bring x's to the right

-y=

−y=

\,\,-2x+7

−2x+7

\frac{-y}{-1}=

−1

−y

​

=

\,\,\frac{-2x+7}{-1}

−1

−2x+7

​

Divide by -1

y=

y=

\,\,2x-7

2x−7

Distribute division

\text{Slope of given line: }2

Slope of given line: 2

The coefficient of x is the slope

\text{Slope of a parallel line: }2

Slope of a parallel line: 2

The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

Asset

Step-by-step explanation:

Because your selling your money to in something to make it have value.

The true statement about the graphed function is:

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

Looking at it's graph, we have that:

Researching this problem on the internet and looking at the graph of the function, the correct statement is given by:

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

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Answer:

1,320

Step-by-step explanation:

the top is 11 and 10 which makes the first side 10 and 12 and the second 12 and 11 the 3 numbers that you multiply 10 11 and 12

10X11X12=1320

P.S. please give brainliest

Answer: B

Step-by-step explanation:

(1 - 45%) x (1 - 80%)

=55% x 20%

= 0.11

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

=====================================================

Explanation:

Let's say the room has walls and ceiling of 350 sq ft in total area.

Sally can paint this area in 5 hours when working alone, so her unit rate is 350/5 = 70 sq ft per hour.

Steve needs 7 hours to do the same job when working alone, so his unit rate is 350/7 = 50 sq ft per hour.

Assuming the two people can work together without hindering each other (i.e. without getting in each other's way), then the two unit rates combine to 70+50 = 120 sq ft per hour.

Divide the total area over this combined unit rate

350/120 = 2.91667 approximately

This rounds to 2.9

--------------

Alternatively, you can solve the equation

\(\frac{1}{5} + \frac{1}{7} = \frac{1}{x}\)

And you should get roughly x = 2.9

The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121

We want to simplify the expression;

[√(x + 2)] - 5 = 11

Squaring both sides is;

([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11

⇒ x + 2 - 10√(x + 2) + 25 = 121

Thus, the correct answer is;

x + 2 - 10√(x + 2) + 25 = 121

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Answer:

0.7

Step-by-step explanation:

this is the answer because the zero means less in this equation.

Answer:

Step-by-step explanation:

To find the zeros of the function f(x) = -3x² + 75, we need to solve the equation -3x² + 75 = 0 for x. We can start by factoring out a common factor of -3:

-3x² + 75 = 0

-3(x² - 25) = 0

Now we can use the difference of squares formula to factor the expression inside the parentheses:

-3(x - 5)(x + 5) = 0

This equation is satisfied when one of the factors is equal to zero, so we can set each factor equal to zero and solve for x:

x - 5 = 0 --> x = 5

x + 5 = 0 --> x = -5

Therefore, the zeros of the function are x = -5 and x = 5, and we can write them in order from least to greatest as:

lesser x = -5

greater x = 5

Calculator solution:

To verify these results using a calculator, you can graph the function y = -3x² + 75 and look for where the graph intersects the x-axis. Here's how you can do that on a TI-84 calculator:

1) Press the "Y=" button to enter the function.

2) Enter "-3x^2 + 75" after "Y1=".

3) Press the "GRAPH" button to see the graph.

4) Press the "2nd" button followed by the "CALC" button (which is the "TRACE" button).

5) Select option 2: "zero" by pressing the number 2 on the calculator or using the arrow keys to highlight it and pressing "ENTER".

6) Move the cursor to the left of the zero on the left side of the graph and press "ENTER".

7) Move the cursor to the right of the zero on the right side of the graph and press "ENTER".

8) The calculator will display the zeros and ask if you want to store them to a variable. You can simply write down the values and press "ENTER" twice to exit the calculator's calculation.

The calculator will confirm that the zeros are x = -5 and x = 5, as we found above.

Answer:

x = 2 or x = -5

Step-by-step explanation:

x² + 3x - 4 = 6

x² + 3x -4 - 6 = 0

x² + 3x - 10 = 0 (Here you find two numbers that have a sum of 3 and a product of -10. These two numbers would be 5 and -2. 5 - 2=3 and 5×-2 =-10.)

x² + 5x - 2x -10 = 0 (They you replace 3x by 5x and -2x)

(x² + 5x) (-2x -10) =0 - (You find common terms)

x(x + 5) -2(x + 5) = 0

(x - 2) (x + 5) = 0

So

x - 2 = 0 or x + 5 = 0

x =2               x = -5

Answer:x=2

Step-by-step explanation:

x^2+3x-4=6

2x+3x-4=6

add 2x and 3x and you get 5x

5x-4=6

add 4 to both sides 6 plus 4 is 10

5x=10

know divide 5 from both sides and you get 2

x=2

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

We have,

We can use trigonometry to solve this problem.

          C

        /   \

       /     \

      /θ     \

     /         \

    /           \

   A-------------B

          50 ft

In this diagram, A represents the launch pad, B represents the maximum altitude of the rocket, C represents the position of the photographer, and θ represents the angle at which the tripod should be set.

We want to find θ.

First, we can find the height of the triangle ABC using the Pythagorean theorem:

AB² = AC² + BC²

200² = AC² + 50²

AC² = 200² - 50²

AC = √(200² - 50²)

AC = 190.526 ft

Next, we can use the tangent function to find θ:

tan(θ) = opposite/adjacent = AB/BC = 200/50 = 4

Taking the arctangent of both sides, we get:

θ = \(tan^{-1}(4)\)

θ = 75.96 degrees

Therefore,

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

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Answer:

30

Step-by-step explanation:

3 + (6 * 4) + 3 = 30

hope this helps

For fraction multiplication, multiply the numerators and then multiply the denominators to get

This fraction cannot be reduced.

Therefore:

Apply the fractions formula for multiplication, to

and solve

1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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Take the average, which always lies in the middle of any two numbers:

(1413/5689 + 1838/7370) / 2 = 5217548/20963965

To get another number, take the average of this number with any of the first two. For example,

(1413/5689 + 5217548/20963965)/2 = 10424453/41927930

Notice that

1413/5689 ≈ 0.248374

10424453/41927930 ≈ 0.248628 … … … (the second average, between the first number and the first average)

5217548/20963965 ≈ 0.248882 … … … (the first average of the given two numbers)

1838/7370 ≈ 0.249389

(underlined for emphasis)

Answer:45-67-3

Step-by-step explanation:

Answer:

6 faces

Step-by-step explanation:

Answer:

\(p = 2\) if given vectors must be linearly independent.

Step-by-step explanation:

A linear combination is linearly dependent if and only if there is at least one coefficient equal to zero. If \(\vec u = (1,1,2)\), \(\vec v = (1,p,5)\) and \(\vec w = (5,3,4)\), the linear combination is:

\(\alpha_{1}\cdot (1,1,2)+\alpha_{2}\cdot (1,p,5)+\alpha_{3}\cdot (5,3,4) =(0,0,0)\)

In other words, the following system of equations must be satisfied:

\(\alpha_{1}+\alpha_{2}+5\cdot \alpha_{3}=0\) (Eq. 1)

\(\alpha_{1}+p\cdot \alpha_{2}+3\cdot \alpha_{3}=0\) (Eq. 2)

\(2\cdot \alpha_{1}+5\cdot \alpha_{2}+4\cdot \alpha_{3}=0\) (Eq. 3)

By Eq. 1:

\(\alpha_{1} = -\alpha_{2}-5\cdot \alpha_{3}\)

Eq. 1 in Eqs. 2-3:

\(-\alpha_{2}-5\cdot \alpha_{3}+p\cdot \alpha_{2}+3\cdot \alpha_{3}=0\)

\(-2\cdot \alpha_{2}-10\cdot \alpha_{3}+5\cdot \alpha_{2}+4\cdot \alpha_{3}=0\)

\((p-1)\cdot \alpha_{2}-2\cdot \alpha_{3}=0\) (Eq. 2b)

\(3\cdot \alpha_{2}-6\cdot \alpha_{3} = 0\) (Eq. 3b)

By Eq. 3b:

\(\alpha_{3} = \frac{1}{2}\cdot \alpha_{2}\)

Eq. 3b in Eq. 2b:

\((p-2)\cdot \alpha_{2} = 0\)

If \(p = 2\) if given vectors must be linearly independent.

If someone purchased 7 adult tickets and 3 kids tickets, they would get 10 total tickets.

If someone purchased a adult tickets and k kids tickets, they would get a+k total tickets.

Answer 1:

1.23456789 × (10-6) = 4.93827156

Answer 2:

(1.23456789 × 10) - 6 = 6.3456789

Answer 3:

1.23456789 × \(10^{-6}\) = 0.000000123456789

Hope this helped! :)

Answer:

14

Step-by-step explanation:

i think cos x*2 = y

Answer:

14:26

Step-by-step explanation:

Because there is 14 girls and in all as students there is 26 of them.

Answer:

There is a significant relation between weight and price

Step-by-step explanation:

              Brand Weight(x)          Price ($) (y)

A                  17.8                        2100

B                   16.1                        6,250

C                   14.9                        8,370

D                   15.9                        6,200

E                   17.2                        4,000

F                   13.1                         8,500

G                   16.2                        6,000

H                   17.1                         2,580

I                   17.6                          3,500

J                   14.1                         8,000

Null Hypothesis : \(H_0: \mu =0\)

Alternate Hypothesis : \(H_a: \mu \neq 0\)

Given : SST=51956800 SSE= 7312286.84 n = 10

SSR = SST-SSE

SSR=51956800-7312286.84

SSR=44644513.16

Level of significance =\(\alpha = 0.05\)

\(F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}\)

Where m = no. of restrictions

k = No. of independent variables

\(F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}\)

F=48.843

Degree of freedom 1 = 1

Degree of freedom 2 = 10-2=8

Using calculator

p-value is .000114.

p value < α

So, we reject the null hypothesis .

Hence There is a significant relation between weight and price