the graph of y=-4x7 is:

By applying the concept of corresponding angles in similar triangles, we were able to establish the value of x as 25 in the given scenario.

In the given problem, we are provided with information about the angles in two similar triangles: triangle ABC and triangle STU. It is stated that angle UTS in triangle STU is 100 degrees, and since corresponding angles of similar triangles are congruent, we can conclude that angle STU is also 100 degrees.

Next, we examine angle BAC in triangle ABC, which is given as 4x. Using the same logic, we know that angle BAC is also congruent to angle STU. Therefore, we can equate the two angles:

angle BAC = angle STU

4x = 100

To find the value of x, we divide both sides of the equation by 4:

x = 100/4

x = 25

Hence, we determine that x is equal to 25. This method allows us to leverage the known information about one triangle to infer the measurements of corresponding angles in the other similar triangle.

For more such questions on triangle

https://brainly.com/question/2773823

#SPJ8

Answer:

x = 8 is a solution for the equation

Answer:

Silicic acid

*Step by step*

You have to acidify the solution to produce Silicic Acid. I recommend using a strong acid to ensure full conversion to Silicic Acid

Answer:

The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34              45 to 54

  1329                    2268

  1906                    1965

 2426                     1149

  1826                     1591

  1239                    1682

   1514                     1851

  1937                     1367

  1454                    2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

\(\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01\)

Compute the z-score for the group "25 to 34" as follows:

\(z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37\)

Compute the mean and standard deviation for the group "45 to 54" as follows:

\(\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39\)

Compute the z-score for the group "45 to 54" as follows:

\(z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25\)

Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Based on the image attached, The the shape of the distribution is option c) data skewed right.

The term Right skewed is one where the mean  is more prominent than the middle. The mean overestimates the foremost common values in a emphatically skewed dispersion. Cleared out skewed: The mean is less than the median. The mean  is one that has little of the common values in a rightly skewed dissemination.

So, therefore, if  most of the information are on the cleared out side of the histogram but many larger values are on the proper, the information are said to be skewed to the right.

Read more about data skewed right here:

https://brainly.com/question/16410052

#SPJ1

See text below



Gabriela recorded the ages of her shirts.

·

0 1 2 3 4 5 6 7 8 9 10

Age (years)

Which of these best describes the shape of the distribution?

Choose 1 answer:

Roughly symmetric

Skewed left

Skewed right

Good Question (141)

Answer:

2

Step-by-step explanation:

Its quite obvious

Answer:

Step-by-step explanation:

Given the 2 by 2 matrix \(A = \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right]\) , we are to find the value of x and y for the expression A² = A to be true.

First we need to find A² by multiplying the same matrix together

\(A^2 = \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right] \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right]\\\\ \ we \ normally \ multiply \ the \ rows \ of \ the \ first \ matrix \ with \ the \ column \ of \ the \ second \\\\A^2 = \left[\begin{array}{-cc}x^2+5y&5x-40\\xy-8y&5y+64\\\end{array}\right]\\\\Since \ A^2 = A,\ hence;\\\\\left[\begin{array}{-cc}x^2+5y&5x-40\\xy-8y&5y+64\\\end{array}\right] = \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right]\\\)

Equating the first row and second column of both matrices together, we will have;

5x-40 = 5

add 40 to both sides of the equation

5x-40+40 = 5+40

5x = 45

x = 45/5

x = 9

Similarly,  we will equate the second row and second column of both matrices to have;

5y+64 = -8

Subtract 64 from both sdies

5y+64-64 = -8-64

5y = -72

y = -72/5

Hence the value of x is 9 and y is -72/5

Matrices are used to represent data in rows and columns

The values of x and y are 9 and -14.4 respectively.

Matrix A is represented as:

\(\mathbf{A = \left[\begin{array}{ccc}x&5\\y&-8\end{array}\right] }\)

Calculate \(\mathbf{A^2}\)

\(\mathbf{A^2 = \left[\begin{array}{ccc}x&5\\y&-8\end{array}\right] \times \left[\begin{array}{ccc}x&5\\y&-8\end{array}\right] }\)

Recall that \(\mathbf{A^2 = A}\)

This means that:

\(\mathbf{\left[\begin{array}{ccc}x^2++5y&5x-40\\xy-8y&5y+64\end{array}\right] = \left[\begin{array}{ccc}x&5\\y&-8\end{array}\right] }\)

So, by comparison

\(\mathbf{5x - 40 = 5}\)

\(\mathbf{5x = 40 + 5}\)

\(\mathbf{5x = 45}\)

\(\mathbf{x = 9}\)

Similarly

\(\mathbf{5y + 64 = -8}\)

\(\mathbf{5y =-64 -8}\)

\(\mathbf{5y =-72}\)

\(\mathbf{y =-14.4}\)

Hence, the values of x and y are 9 and -14.4 respectively.

Read more about matrices at:

https://brainly.com/question/24810141

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

For similar questions on polynomial

https://brainly.com/question/12702996

#SPJ8

Answer:

B. \( 200.5 \: {m}^{2} \)

Step-by-step explanation:

Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m

\( = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} \)

The true statement about the width is that it is 30.75 feet long

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

Length = 15 feet more than 3 times the height of a room

Floor area, A(h) = 4h² + 42h + 90

Where l is the length and h is the height

Mathematically, the length can be represented as

l = 15 + 3h

Make h the subject

h = l/3 - 5

Recall that:

A(h) = 4h² - 42h + 90

Differentiate

A'(h) = 8h - 42

Set to 0

8h - 42 = 0

So, we have

8h = 42

Divide both sides

h = 5.25

Substitute h = 5.25 in l = 15 + 3h

l = 15 + 3 * 5.25

Evaluate

l = 30.75

Hence, the true statement is that the width is 30.75 feet

Read more about rectangles at

https://brainly.com/question/19819849

#SPJ1

The distance between Destinee's house and Anna's house is 15.62 miles

To find the coordinate of the Anna's house, we can use the formula of midpoint on this. This is given as

\(midpoint(x,y) = \frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2}\)

In the question, El Ticonzito's house is at midpoint between Destinee's house and Anna's house.

\(midpoint(x,y) = \frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2}\\-4 = \frac{2 + x_1}{2} = -8 = 2 + x_1\\x_1 = -8 - 2 = -10\\\\-2 = \frac{3 + y_1}{2} \\-4 = 3 + y_1\\-4 - 3 = y_1\\y_1 = -7\)

The coordinate's of Anna's point is (-10, -7).

Let's use this to calculate the distance (d) between the two points.

\(d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2} \\d = \sqrt{(-10-2)^2 + (-7 - 3)^2} \\d = \sqrt{(-12)^2 + (-10)^2} \\d = \sqrt{244}\\ d = 15.62 miles\)

The distance between the two points is 15.62 miles

Learn more on distance between two point here;

https://brainly.com/question/7243416

#SPJ1

Answer:

-13m - 18

Step-by-step explanation:

(3m - 9) -- (-10m - 9 )

Subtract the 3m to the -10m, and add the 9's together.

Answer:

the answer is 13m

Step-by-step explanation:

remove parenthesis : 3m – 9 + 10m – 9

simplify : 3m - 9 +10 +9 = 13m

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

Learn more about quadratic equation here:

https://brainly.com/question/30164833

#SPJ8

Answer:

480

Step-by-step explanation:

8x4=32

8x8=64

32x4=128

32x8=256

256+128+64+32=480

Answer:

Step-by-step explanation:

\(4−(2x+4)=5\)

First of all remove the parenthesis

That's

\(4 - 2x - 4 = 5 \\ - 2x = 5\)

Divide both sides by - 2

\( \frac{ - 2x}{ - 2} = \frac{5}{ - 2} \\ \)

We have the final answer as

\(x = - \frac{5}{2} \\ \)

Hope this helps you

Answer: This game of darts involves the player calling the target they aim to hit and the winner is determined by hitting the section they called. The player starts by attempting to hit "low" (sectors 1-10), followed by "high" (sectors 11-20), then "bullseye", and this pattern continues until the player successfully hits the section they called.

Step-by-step explanation:

Answer:

y=−2x+3.5

Step-by-step explanation:

(don’t mind me doing this on my math homework)

Answer:

y = - x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line

m = \(\frac{0-9}{9-0}\) = \(\frac{-9}{9}\) = - 1

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - x + 9 ← equation of line

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

X = 3

Step-by-step explanation:

So do 7-2 which equals 5. 5 times 6 because 6 is outside of the parentheses with no symbol, so that means to multiply. That would equal 30. You want your answer to equal 6, so you would want the number inside of the parentheses to be 1, so that 1 times 6 would be 6. 2 x 3 would be sixe, and then 7-6 would equal one. 1 times 6 would be 6. So there is your answer.

Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

9514 1404 393

Answer:

  59 3/4

Step-by-step explanation:

The change from the opening price is ...

  -50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Step-by-step explanation:

A. 8 cm, 15 cm, 17 cm => This is a right triangle.

B. 20 cm, 21 cm, 29 cm => This is a right triangle.

C. 36 cm, 77 cm, 85 cm => This is a right triangle.

D. 7 cm, 28 cm, 32 cm => This is not a right triangle.

ANSWER:

m = 8.50h

You have to multiply the number of hours Diana works by the amount of money she earns, which is $8.50, in order to know how much she earns in total.

The variance for waiting times for patients who are discharged after receiving treatment is more, so waiting times for patients who are discharged after receiving treatment is more variable.

In probability and statistics, variance is the actual value of the squared variation of a stochastic process from its mean value. Informally, variance calculates the degree to which a random group of numbers deviates from the mean value.

Another essential tool, the measurement of variance is equal to the square of the standard deviation.

Since the variance for waiting times for patients who are discharged after receiving treatment is more, so waiting times for patients who are discharged after receiving treatment is more variable.

Learn more about variance here:

https://brainly.com/question/13708253

#SPJ1

Answer:

5.78571428571

Step-by-step explanation:

9/7 = 1.28571428571

9/2 = 4.5

And if you add it you get 5.78571428571

hopes this helps..