The measure of angle STV is 117°. What is the measure of angle UTV

Answer:

Dilation

Step-by-step explanation:

Given

Main function: f(x)

Resulting function: 5f(x)

Required

Which transformation exists between both functions

The general explanation is that:

When a function f(x) is multiplied by a constant k, the resulting function g(x) is a dilation of f(x).

Mathematically, if the following relationship exists between f(x) and g(x)

g(x) = k.f(x)

Then g(x) is a dilation of f(x) and k is the constant of proportionality or dilation ratio

In this case:

g(x) = 5f(x)

So, the transformation that answers the question is dilation.

Answer: vertical | stretch | left

Step-by-step explanation:

According to the solution we have come to find that, For the given expression, (2x - 3) and (x + 3) are factors of 2x² + 7x - 9.

In mathematics, a factor refers to a number or an algebraic expression that divides another number or expression without leaving any remainder. In other words, a factor of a given number or expression evenly divides it.

To factor 2x² + 7x - 9, we need to find two binomials that multiply together to give us the original expression. One way to do this is to use the quadratic formula, but we can also try to factor by inspection.

We can look for two numbers that multiply together to give -18 (the product of the first and last coefficients) and add together to give 7 (the middle coefficient). One possible pair of numbers is 9 and -2. Therefore, we can write:

2x² + 7x - 9 = (2x - 3)(x + 3)

Therefore, the binomials that are factors of 2x² + 7x - 9 are:

only (2x - 3) and (x + 3) are factors of 2x² + 7x - 9.

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The ounces of shaving cream will be 230 ounces.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

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Answer:

1440 cubic inches

V = \(l\) × \(w\) × \(h\)

V = 12 × 10 × 12 = 1,440 cubic inches

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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Answer:

11

Step-by-step explanation:

Given:

8,14,22,7,2,11,25,7,5,9

Solve:

Put in order:

2, 5, 7, 7, 8, 9, 11, 14, 22, 25

Note:

Mean-

2+ 5+7+7+8+9+11+ 14+22+25=110

110/10 = 11

Hence, the mean of the data is 11.

[RevyBreeze]

Answer:

The mean of the data given is 11

What is mean?
The mean is the arithmetic average of a set of given numbers. The median is the middle score in a set of given numbers. The mode is the most frequently occurring score in a set of given numbers.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

(pls give the person who answered before me braineist)

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

The amount by which Ariel’s bank account changed from week `1` to week `6` is -$365.80.

The changes over the six-week period in Ariel's bank account are as follows:

At the end of week 1:

$337.5 - $360 = -$22.50

At the end of week 2:

$182.35 - $337.5 = -$155.15

At the end of week 3:

$-41.4 - $182.35 = -$223.75

Balance at the end of week 4:

-$41.4 + $40 = -$1.40

At the end of week 5:

-$5.80 - (-$1.4) = -$4.40

Week 6 balance = -$5.80

Changes that occurred = -$22.50 + (-$155.15) +  (-$223.75) + (-$1.40) + $40 + (-$4.40)

Changes that occurred = -$365.80

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Answer:

Hi! The correct answer is 3.25, 7.6 and 0.3!

Step-by-step explanation:

Answer:

43,750 miles

Step-by-step explanation:

Create a proportion where x is the actual distance between the cities:

\(\frac{0.05}{125}\) = \(\frac{17.5}{x}\)

Cross multiply and solve for x:

0.05x = 2187.5

x = 43,750

So, the actual distance between the 2 cities is 43,750 miles

Answer:

  10 minutes

Step-by-step explanation:

Assuming men and minutes are interchangeable, 3 times as many men can be assumed to assemble the toys in 1/3 as much time.

21 men can make 21 toys in 30/3 = 10 minutes.

_____

Additional comment

We have to assume there are no rate-limiting steps in the process. This assumption is not always valid.

Answer:

4x^2 - 12x + 9

Explanation:

(2x - 3)^2

(2x - 3)(2x - 3)

2x(2x - 3) -3 (2x - 3)

4x^2 - 6x - 3 (2x - 3)

4x^2 - 6x - 6x + 9

4x^2 - 12x + 9

Answer:

i think it is 2.1

Answer:

I'm pretty sure it's 12.55

Step-by-step explanation:

12.55 because

8 makes the 7 a and that 8 makes the 4 a 5

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

Answer:

option (d) is correct.

Step-by-step explanation:

Given the table

x       -3       0       3

y       -6       0       6

An ordered pair (x, y) is a composition of the x-coordinate and y-coordinate.

For example, the ordered pair (1, 2) is a composition of the x-coordinate i.e. x = 1 and y-coordinate i.e. y = 2.

The relation can be determined by converting all the points in the table via the ordered pairs and combining all of them such as ordered pairs:

{(-3, -6), (0, 0), (3, 6)}

Therefore, option (d) is correct.

Answer:

The expected winnings from The Slow Ball Challenge rounded to the nearest dollar are $13

The expected winnings from The Fast Ball Challenge rounded to the nearest dollar are $5

Since The Slow Ball Challenge has higher expected winnings, Diego should play The Slow Ball Challenge all 10 times.

Step-by-step explanation:

khan academy

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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Answer:

5

Step-by-step explanation:

\(\triangle HBK \cong \triangle NBK\) by SAS. Using CPCTC, \(3x=x+10 \implies 2x=10 \implies x=5\).

Answer:

y-intercept: -3

x-intercept: none

Answer:

y-intercept: -3

x-intercept: 0

Step-by-step explanation:

y = 0x - 3

y-intercept: -3

x-intercept: 0

Hope this helps!

Answer:

137

Step-by-step explanation:

it was 136.794 hope this helps

Answer:

14

Step-by-step explanation:

Check the picture below.

let's notice the "holes" on the blue and green lines, that means that the line doesn't include that point, recall x < 0, is not equals to 0 is less than 0, and x > 2, is more than 2, but never equals to 2.  That said, notice the red line, it has solid dots on each end, that's because whatever "x" value is, it can include 0 and 2.

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

Answer:

-439

Step-by-step explanation:

Think of the question as s(f(-7))

First replace x with -7 in the equation f(x)= 3x

s(-7) = 3*(-7)

s(-7) = -21

now it is s(-21)

we substitute -21 into the s(x) equation to get \(2-(-21)^2\)

That gives you 2-441 = -439

Answer:

23. Similar as well as congruent triangle

25. Conguent triangle

Step-by-step explanation:

Answers:

23. Not enough information

25. Congruent (by the HL theorem)

HL = hypotenuse leg

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

Explanation for problem 23.

Check out figure 1 shown below.

I have marked the given diagram with light blue and light pink to show which angles are congruent.

Because lines UN and TC are parallel, we know the following alternate interior pairs are congruent.

Therefore, we can establish one link of paired congruent angles of the triangles LNU and TCH. However, we cannot determine any other angle pairings. Why not? Because we don't know if segment UL is parallel to segment TH. If they were parallel, then we could establish something like angle LUN = angle CHT as one alternate interior pairing.

But again, we don't know if UL is parallel to TH. The arrow markers aren't shown for these segments.

Therefore, we simply don't have enough information to determine if the triangles are similar or congruent.

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

Explanation for problem 25.

Luckily this problem will provide sufficient info to prove the triangles KSR and ISR are congruent.

We start with the given info that KR = SI due to the identical tickmarks. This represents one node in the flowchart (see figure 2).

Another node is angle RKS = angle RIS because both are right angles, aka 90 degree angles.

A third node is SR = SR because of the reflexive property.

Those three nodes then feed into the final conclusion node that triangle KSR = triangle ISR. The reasoning is "HL theorem" where HL = hypotenuse leg. This theorem works for right triangles only.

Take note how I structured the proof so that it flows from top to bottom. The three nodes side by side are related so they share the same row.

There are many other ways to make the flowchart, so don't feel obligated to use this format. Use whatever works best for you.

Answer:

28.26 mm

Step-by-step explanation:

The equation used to solve for the area of a circle is;

A=pi x r^2.

The radius is half the diameter, 6mm/2= 3mm.

A= 3.14 x 3^2

3^2= 9

3.14 x 9 = 28.26 mm

or you could just type 3.14 x (3^2) = 28.26mm

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2