Question 1-7
Similar triangles MRC and WYC are shown where MR = 14, CR=28, WY = 6, and MW = 17.88.

What is the length of YC?

Answer:

The answer is 6.

Step-by-step explanation:

A negative and a negative makes a positive when the problem is written as
x - (-x)

So 2 - (-4) equals 2 + 4

which is simply 6

Answer:

6

Step-by-step explanation:

Two negatives cancel out a positive.

2-(4) should turn into 2 +4

2+4 =6

Answer:

B

Step-by-step explanation:

When x = 0 we are looking at the y- axis

The graph crosses the y- axis at y = - 2

Thus when x = 0 then y = - 2 → B

Answer:

213

Step-by-step explanation:

the equations for this is y=2x+13

just plug in x to find y

y=2(100)+13

y=213

The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

Read more about Linear equation graph at: https://brainly.com/question/28732353

#SPJ1

Step 1:

50%= 50/100 = 0.5

Step 2:

50% of 50%= (50×0.5)/100= 0.25

Step 3:

50% of 50% of 50% = (50×0.25)/100= 0.125

Thanks for joining brainly community!

25% — $40

100% — $40 * 4 = $160

The original price is $160.

The p-value for the given test is approximately 0.028, rounded off to the third decimal place.

To find the p-value for a test concerning a mean, where the sample size is n = 90 and the test statistic is 1.91, we need to determine the probability of observing a test statistic as extreme as or more extreme than the one obtained under the null hypothesis.

Since the alternative hypothesis is u > u0, we are conducting a right-tailed test.

The p-value is the probability of observing a test statistic greater than or equal to the observed test statistic under the null hypothesis.

To calculate the p-value, we can use the cumulative distribution function (CDF) of the appropriate distribution, which in this case is the t-distribution.

Since the sample size is large (n = 90), we can approximate the t-distribution with a standard normal distribution.

Using a standard normal distribution, we can find the p-value as follows:

p-value = 1 - CDF(t), where t is the observed test statistic.

p-value = 1 - CDF(1.91)

Calculating this using a standard normal distribution table or a statistical software, we find that the p-value is approximately 0.028.

Therefore, the p-value for the given test is approximately 0.028, rounded off to the third decimal place.

Learn more about p-value  here:

https://brainly.com/question/32087607

#SPJ11

Let's begin by finding the mean of the data

Mean = 48.9

Next, we calculate the absolute value of the difference between each data value and the mean, we have:

|data value – mean|

|46 - 48.9| = 2.9

|47 - 48.9| = 1.9

|56 - 48.9| = 7.1

|48 - 48.9| = 0.9

|46 - 48.9| = 2.9

|52 - 48.9| = 3.1

|57 - 48.9| = 8.1

|52 - 48.9| = 3.1

|45 - 48.9| = 3.9

Next, we sum up the absolute values of the differences (from above) & divide by the number of data values, we have:

MOD = 8 (to the nearest whole number)

Answer:

\(30\)

Step-by-step explanation:

1. Approach

First, use the Pythagorean theorem to solve for the hypotenuse of the given right triangle. Then find the perimeter by adding up the values of all the sides. The problem then has the lengths of the legs doubled. When the legs undergo a scaling factor, the hypotenuse and perimeter undergo the same scaling factor. Here, the legs are doubled, hence the hypotenuse and the perimeter are also doubled. Finally, subtract the new perimeter from the original perimeter.

2. Find the original hypotenuse

Remember the Pythagorean theorem states;

\(x^{2}+y^{2}=z^{2}\)

Where (a) and (y) are the legs (or the sides adjacent to the right angle), and (z) is the hypotenuse or the side opposite to the right angle.

Substitute in the given value and solve,

\((5)^{2}+(12)^{2}=z^{2}\\\\25 + 144 = z^{2}\\\\169=z^{2}\\\\\sqrt{169}=z\\\\13=z\)

3.Find the perimeter of the original triangle

To find the perimeter of a polygon, one must add up the lengths of all the sides.

\(5 + 12 + 13\\\\= 30\)

4. Find the new perimeter

In a right triangle, when both legs undergo a scaling factor, the hypotenuse also has the same change, and the perimeter also undergoes the same change. In this case, the length of the legs is doubled, therefore, the hypotenuse and the perimeter are also doubled.

New hypotenuse; \(26\)

New perimeter; \(60\)

5. Find the difference

Now all that is left is to subtract the new perimeter from the original perimeter;

(New_perimeter) - (original_perimeter)

= \(60 - 30\)

= \(30\)

The amount of fat contained in the 14-oz box of candy is 84 grams.

Total fat in 3.5-oz box of candy = 21.0 g.

Let x  be the fat contained in the 14-oz box of candy.

Then, taking the ratios.

3.5 / 21 = 14 / x

x = 14 × 21 / 3.5

x = 84 grams

Thus, the amount of fat contained in the 14-oz box of candy is 84 grams.

To know more about the ratios of the number, here

https://brainly.com/question/12024093

#SPJ4

Answer:

It is a many-to-many function but not a one-to-ine function hence, it cannot be represented a a function in an expression

Step-by-step explanation:

Topic: Functions

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer: No

Explanation: I think that the least confusing way to do

this problem is to first write down the ordered pairs that

are represented by this mapping diagram.

So we have {(6,3), (-1, 2), (-1, -1), (4, 3)}.

In order for a relation to be a function, each x-coordinate needs

to appear once unless we have a repeated ordered pair.

Since we have the same x-coordinate in two of

our ordered pairs, this relation cannot be a function.

In terms of the mapping diagram, you can see that we have

an x that is paired with two different y's.

So this does not fit the definition of a function which states

that each x must be paired with exactly one y.

Answer:

11.2

Step-by-step explanation:

15x + 32 = 200       Subtract 32 from both sides

15x + 32 - 32 = 200 - 32

15x = 168  Divide both sides by 15

\(\frac{15x}{15}\) = \(\frac{168}{15}\)

x = 11.2

Answer:

i think the answer is x= 11.2

Step-by-step explanation:

15x= 200-32

15x=168

x=168/15

x=11.2

Answer: a. -25

Step-by-step explanation:

1. Multiply the numbers

5x(−5)

Solution

−25x

C. True, because to use the Law of Sines, at least two sides must be known.

The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.

Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.

In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.

To know more about Law of Sines:

https://brainly.com/question/28827357

#SPJ11

Answer:

2 points the first 3 matches then 3 points the last 2 matches

Step-by-step explanation:

12 points in 5 matches and the first 3 are all the same then the other 2 increased by 1 point

They got 2 points the first 3 matches then 3 points the last 2 matches

2 + 2 + 2 (first 3 matches) = 6

3 + 3 (last 2 matches) = 6

6 + 6 = 12

The probability of a parallel park in the 5th spot out of 6 random arrangements is 2 ÷ 5.

The probability of the need to parallel park equal to the probability of 2 open spaces in the first 5 spots and not together equals the number of 2 possible open spots in the first 5 and not together ÷ The number of 2 possible open spots = (The number of 2 possible open spots in the first 5 - The number of 2 possible open spots together in the first 5) ÷ The number of 2 possible open spots.

The number of 2 possible open spots in the first 5 = nCr = C(5,2) = 10

The number of 2 possible open spots together in the first 5 = 4

The number of 2 possible open spots = nCr = C(6,2) = 15

The probability of the need to parallel park = (10 - 4) ÷ 15

= 6 ÷ 15

= 2 ÷ 5

To learn more about probability at

https://brainly.com/question/11234923?referrer=searchResults

#SPJ4

Answer:

The value of the length of AC is 14

Step-by-step explanation:

When points are collinear, it simply means that the points lie on the same straight line.

In this question , we have three points which lie on same straight line.

These are points A, B and C with B between A and C.

Thus the length AC can be obtained by adding the length of AB to the length of BC

Mathematically, the value of the length of AC will be 8 + 6 = 14

Answer:oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80

About what percent of Davon's monthly budget w

About what percent of Davon's monthly budget w

Step-by-step explanation:

oline

$650

$150

$130

Groceries

Car Insurance

590

Clothes

$80

About what percent of Davon's monthly budget w

Answer:

the one i got is 12%

Step-by-step explanation:

but im not sure if its correct

The first integral becomes ∫∫\(R u^5 v^4 (2uv^2) \sqrt{(4u^2v^2 + 1) du}\)

To compute the flux of the vector field F through the surface S, we can use the surface integral formula:

flux = ∬s F · dA

where dA is the differential area element of the surface S and the double integral is taken over the entire surface.

In this case, the vector field F is given by:

F = −xz i − yz j + \(z^2 k\)

And the surface S is the cone \(z = x^2 y^2\)for 0 ≤ z ≤ 9, oriented upward. To find the differential area element dA, we can use the parametrization of the surface in terms of u and v:

x = u

y = v

\(z = u^2 v^2\)

where (u, v) ranges over the region R = {(u, v) | 0 ≤ u ≤ 3, 0 ≤ v ≤ 3}.

The partial derivatives of the parametrization are:

∂x/∂u = 1, ∂x/∂v = 0

∂y/∂u = 0, ∂y/∂v = 1

∂z/∂u = \(2uv^2, ∂z/∂v = 2u^2v\)

Using these, we can find the cross product of the partial derivatives:

∂r/∂u x ∂r/∂v = \((-2uv^2) i + (2u^2v) j + k\)

and the magnitude of this vector is:

|∂r/∂u x ∂r/∂v| = \(\sqrt{((2uv^2)^2 + (2u^2v)^2 + 1) } = \sqrt{(4u^2v^2 + 1)}\)

Therefore, the differential area element is:

dA = |∂r/∂u x ∂r/∂v| du dv = sqrt(4u^2v^2 + 1) du dv

Now we can compute the flux of F through S using the surface integral formula:

flux = ∬s F · dA

= ∫∫R F(u, v) · (∂r/∂u x ∂r/∂v) du dv

Substituting in the expressions for F and the cross product, we have:

flux = ∫∫\(R (-uxz -vyz + z^2) (-2uv^2 i + 2u^2v j + k) \sqrt{(4u^2v^2 + 1) du dv}\)

The limits of integration are u = 0 to u = 3 and v = 0 to v = 3. We can break this up into three separate integrals:

flux = ∫∫\(R (-uxz) (-2uv^2) \sqrt{ (4u^2v^2 + 1) du dv}\)

+ ∫∫\(R (-vyz) (2u^2v) \sqrt{(4u^2v^2 + 1) du dv}\)

+ ∫∫\(R z^2 \sqrt{(4u^2v^2 + 1) du dv}\)

The first integral can be simplified using the equation for the cone z = \(x^2 y^2:\)

\(uxz = u(-u^2 v^2)(u^2 v^2) = -u^5 v^4\)

for such more question on integral

https://brainly.com/question/22008756

#SPJ11

Answer:

4 = n.

13 ft.

Step-by-step explanation:

An equilateral triangle means that all of the sides are equal.

This means: 2n + 5 = 3n + 1 = 5n -7

You can pick two of those sides to set up an equation to solve for n.

For example, 2n + 5 = 3n + 1.

Then you will need to isolate the variable.

Subtract 1 from each side to get 2n + 4 = 3n.

Subtract 2n from each side to get 4 = n.

Substitue 4 for n into one of the equations.

2n + 5

2(4) + 5

8 + 5 = 13

Each side is 13 ft.

Answer:

D. 48

Step-by-step explanation:

f(x)=8x+8

f(x)=40+8

f(x)=48

The dimensions of the vegetable patch are 8 meters by 12 meters or 12 meters by 8 meters.

Let's assume the length of the vegetable patch is L and the width is W.

Given, the perimeter of the rectangular vegetable patch = 40 meters.

Perimeter = 2(L+W) = 40

Simplifying the above equation, we get

L+W = 20 (Equation 1)

Also, given that the area of the vegetable patch = 64 square meters.

Area = L*W = 64

From Equation 1, we can write W = 20-L

Substituting W in terms of L in the area equation, we get

L*(20-L) = 64

Expanding the above equation, we get

-L^2 + 20L - 64 = 0

Solving the quadratic equation, we get two possible values for L.

L = 8 or L = 12

If L = 8, then W = 20 - L = 12

If L = 12, then W = 20 - L = 8

Therefore, the dimensions of the vegetable patch are 8 meters by 12 meters or 12 meters by 8 meters.

Learn more about vegetable patch,

https://brainly.com/question/16606311

#SPJ4

Answer:

The slope would be -2/2 or when simplified, -1.

Answer:

-1

Step-by-step explanation:

(a) Isla's trading cards are 125% of Lily's trading cards.

(b) Lily's trading cards are 80% of Isla's trading cards.

Given that,

There are 225 trading cards and Lily has 180 trading cards.

To calculate the percentage of Isla's trading cards compared to Lily's,

We can use this formula:

⇒ Isla's trading cards / Lily's trading cards x 100%

Plugging in the values we get:

⇒ (225 / 180) x 100% = 125%

Therefore,

Isla's trading cards are 125% of Lily's trading cards.

b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:

⇒ Lily's trading cards / Isla's trading cards x 100%

Plugging in the values we get:

(180 / 225) x 100% = 80%

Therefore,

Lily's trading cards are 80% of Isla's trading cards.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

Answer:

16 is the answer hope i helped!

Step-by-step explanation:

Answer:

i think it c

:D

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer: It’s 1/9 I got the same question on my test.

Finding the six trigonometric functions of θ: Since (-3,3) is a point on the terminal side of θ, we can use the coordinates of this point to determine the values of the trigonometric functions.

Let's label the legs of the right triangle formed as opposite = 3 and adjacent = -3, and use the Pythagorean theorem to find the hypotenuse.

Using Pythagorean theorem: hypotenuse² = opposite² + adjacent²

hypotenuse² = 3² + (-3)²

hypotenuse² = 9 + 9

hypotenuse² = 18

hypotenuse = √18 = 3√2

Now we can calculate the trigonometric functions:

sin θ = opposite/hypotenuse = 3/3√2 = √2/2

cos θ = adjacent/hypotenuse = -3/3√2 = -√2/2

tan θ = opposite/adjacent = 3/-3 = -1

csc θ = 1/sin θ = 2/√2 = √2

sec θ = 1/cos θ = -2/√2 = -√2

cot θ = 1/tan θ = -1/1 = -1

Therefore, the exact values of the six trigonometric functions of θ are:

sin θ = √2/2, cos θ = -√2/2, tan θ = -1, csc θ = √2, sec θ = -√2, cot θ = -1.

Part 2: Finding the remaining trigonometric functions given tan θ and sin θ:

Given that tan θ = and sin θ < 0, we can deduce that θ lies in the third quadrant of the unit circle where both the tangent and sine are negative. In this quadrant, the cosine is positive, while the cosecant, secant, and cotangent can be determined by taking the reciprocals of the corresponding functions in the first quadrant.

Since tan θ = opposite/adjacent = sin θ/cos θ, we have:

sin θ = -1 and cos θ =

Using the Pythagorean identity sin² θ + cos² θ = 1, we can find cos θ:

(-1)² + cos² θ = 1

1 + cos² θ = 1

cos² θ = 0

cos θ = 0

Now we can calculate the remaining trigonometric functions:

csc θ = 1/sin θ = 1/-1 = -1

sec θ = 1/cos θ = 1/0 = undefined

cot θ = 1/tan θ = 1/-1 = -1

Therefore, the exact values of the remaining five trigonometric functions of θ are:

sin θ = -1, cos θ = 0, tan θ = -1, csc θ = -1, sec θ = undefined, cot θ = -1.

To learn more about Pythagorean theorem click here:

brainly.com/question/14930619

#SPJ11

Answer:

\(y=5x-18\)

Step-by-step explanation:

Given the following question:

Point A = (4, 2) = (x, y)
Slope = 5

To find the answer we are going to have to use the formula for slope intercept, substitute the values, then solve for the variable b to have our answer.

\(y=mx+b\)
\(y=2\)
\(m=5\)
\(x=4\)
\(2=5(4)+b\)
\(5\times4=20\)
\(2=20+b\)
\(20-20=0\)
\(2-20=-18\)
\(-18=b\)
\(b=-18\)
\(y=5x-18\)

Your answer is "y = 5x - 18."

Hope this helps.

Answer:

f(x) = 86(1.01)^7x; They grow at approximately the rate of 1% per day.

Step-by-step explanation

86 is the number of weeds at the starting point of the question.

8/7% each day,   7 being the total number of days in the week, the weekly growth 8%:  1 day is 8/7% growth or 1.14% rounded up to 1%

In the original equation the 8% growth was represented by 1.08

Substituting the weekly rate of 8% with the daily rate of 1%, or 1.08 with 1.01 the new function is:

f(x) = 86(1.01)^7x