Can someone help me with this one??

interior is the angle

Answer:

1 = 139 degrees

Step-by-step explanation:

You can use the corresponding angles theorem

the answer of this question is 8 bro..........................................................

Answer:

0

Step-by-step explanation:

Each expression is a way to write the sum ...

3 + 5 + 7 + 9

That sum in each case is 24, so the difference is 24-24 = 0.

Answer:

it is not 0 !!!

Step-by-step explanation:

got it wrong bc of top answer

Answer:

$59.4

Step-by-step explanation:

The original price of the shoes was £60 before the 10% discount was applied, resulting in a final price of £54.

1. First, let's denote the original price of the shoes as [tex]\( x \)[/tex] pounds.

2. Since Nathalie bought the shoes during the sale, she received a 10% discount.

3. Therefore, she paid 90% of the original price after the discount. This can be represented as [tex]\( 0.90x \)[/tex].

4. According to the given information, Nathalie paid £54 for the shoes. So, we can set up the equation:

[tex]\[ 0.90x = 54 \][/tex]

5. To find the original price [tex](\( x \))[/tex], we need to isolate it by dividing both sides of the equation by 0.90:

[tex]\[ x = \frac{54}{0.90} \][/tex]

6. Solving the equation gives us:

[tex]\[ x = 60 \][/tex]

7. Hence, the original price of the shoes was £60 before the 10% discount was applied.

The complete question is here:

In a sale, normal prices are reduced by 10% Nathalie bought a pair of shoes in the sale for £54. What was the original price of the shoes?

Answer:

  see attached

Step-by-step explanation:

nCk models k objects taken from a group of n.

  nCk = n!/(k!·(n-k)!)

Fill in n=8 and k=3 to get ...

  8C3 = 8!/(3!·5!)

1/42

First, find the probability of Willie winning the grand prize. He has 1 ticket out of the 7 total tickets, so the probability is 1/7.

Now, find the probability of Emily winning the second prize. After the grand prize winner has been announced, there are only 6 tickets left. Emily has 1, so the probability is 1/6.

Finally, multiply the two probabilities together to find the probability that they will both happen together. To multiply fractions, multiply the numerators together and multiply the denominators together. This leaves us with (1 * 1) / (7 * 6), which is easy to simplify to 1/42, which is the final probability.

Answer:

1/42

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to southeastern.edu,

The first statement is true for the sample "those surveyed" the population but not necessarily the entire population. Statistic.

The second statement implies that the soccer team is the population. All members of the population are surveyed. Parameter.

The third statement states that a sample of 100 of all swimming teams are surveyed. Statistic.

The fourth statement implies that the population is all members of the golf team, and that all members of the population are surveyed. Parameter.

Answer:

Step-by-step explanation:

Some foundation pieces:

Floor is 30 ft^2

tiles are 3w

Equation:

30=(3w)*10

3=3w

1=w

Now that you know that w has to 1 you can write the formula 30=(3w)×10

Answer:

i think its 20

Step-by-step explanation:

Answer:

x = 12.8 cm

Step-by-step explanation:

Using the sine ratio in the right triangle to solve for x

sin70° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex]

Multiply both sides by x

x × sin70° = 12 ( divide both sides by sin70° )

x = [tex]\frac{12}{sin70}[/tex] ≈ 12.8

Answer: [tex]y-\frac{1}{2}=-(x+\frac{1}{2})[/tex]

Step-by-step explanation:

The point-slope form of the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where "m" is the slope of the line and [tex](x_1,y_1)[/tex] is a point of the line.

You know the value of the slope and you also know a point of the line, then you need to substitute values into [tex]y-y_1=m(x-x_1)[/tex].

Therefore, you get that the equation of this line in  point-slope form is:

[tex]y-\frac{1}{2}=-1(x-(-\frac{1}{2})\\\\y-\frac{1}{2}=-(x+\frac{1}{2})[/tex]

Answer:

y = -x

Step-by-step explanation:

Given in the question,

co-ordinate(-1/2 , 1/2)

gradient of the line = -1

Standard equation form of a straight line

here y1 = 1/2

        x1 = -1/2

        m = -1

Plug values in the equation

y - 1/2 = -1(x + 1/2)

y -1/2 = -x - 1/2

y = -x

[tex] {2}x^{2} + 8 {y}^{2} = 16 \\ \\ 1. \: {2x}^{2} = - 8 {y}^{2} + 16 \\ 2. \: {x}^{2} = - 4y^{2} + 8 \\ 3. \: x = \sqrt{ - 4y^{2} + 8} \\ x = - \sqrt{ - 4y^{2} + 8 } \\ \\ answer \\ x = \sqrt{ - 4y^{2} + 8 } \\ x = - \sqrt{ - 4y^{2} + 8} [/tex]

Answer:

Step-by-step explanation:

2x² + 8y² = 16

divide both sides of equation by the constant

2x²/16 + 8y²/16 = 16/16

x²/8 + y²/2 = 1

x² has a larger denominator than y², so the ellipse is horizontal.

General equation for a horizontal ellipse:

  (x-h)²/a² + (y-k)²/b² = 1

with

  a² ≥ b²

  center (h,k)

  vertices (h±a, k)

  co-vertices (h, k±b)

  foci (h±c, k), c² = a²-b²

Plug in your equation, x²/8 + y²/2 = 1.

(x-0)²/(2√2)² + (y-0)²/(√2)² = 1

h = k = 0

a = 2√2

b = √2

c² = a²-b² = 6

c = √6

center (0,0)

vertices (0±2√2,0) = (-2√2, 0) and (2√2, 0)

co-vertices (0, 0±√2) = (0, -√2) and (0, √2)

foci (0±√6, 0) = (-√6, 0) and (√6, 0)

Answer:

I have no idea what you're asking for but I got y= -3/4x+3 as the equation for the line.

ANSWER

[tex]y = \frac{3}{4}x + 15[/tex]

EXPLANATION

The given line passes through the point

(-8,9) and has a slope be of

[tex]m = \frac{3}{4} [/tex]

We obtain the equation of this line using

[tex]y-y_1=m(x-x_1)[/tex]

We plug in the values into the formula to get,

[tex]y - 9 = \frac{3}{4} (x - - 8)[/tex]

[tex]y = \frac{3}{4} (x + 8) + 9[/tex]

Expand the parenthesis to get:

[tex]y = \frac{3}{4}x + 6 + 9[/tex]

[tex]y = \frac{3}{4}x + 15[/tex]

Answer:

[tex]\boxed{\text{L = 90 in}^{2};\text{ S = 115 in}^{2}}[/tex]

Step-by-step explanation:

Data:

s = 5 in

l = 9 in

1. Lateral surface area

The general formula for the lateral surface area L of a regular pyramid is

L =½pl

where p represents the perimeter of the base and l the slant height.

The base is a square, so

p = 4 × 5 = 20 in

L = ½pl = ½ × 20 × 9 = [tex]\boxed{\text{90 in}^{2}}[/tex]

2. Total surface area

Total surface area = lateral surface area + area of base

S = L + B

B = b² = 5² = 25 in²

S = 90 + 25 = [tex]\boxed{\text{115 in}^{2}}[/tex]

The sides of the box are 12in by 12in by 30in.

The interior diagonal =[12^2+12^2+30^2]0.5

=[144+144+900]^0.5

=1188^0.5

The final answer is 34.47in.

My deepest apology if this is not what you meant.

= 34.47in.

Answer:

34.47

Step-by-step explanation:

Answer:

The correct answer is option C.  490 units ²

Step-by-step explanation:

Area of cuboid = 2(lb + bh + lh)

From the figure we can see that a rectangular prism.

To find the surface area of prism

Here l = 14 units

b = 7 units and h = 7 units

Surface area = 2((14 * 7) + (7 * 7) + (14 * 7))

= 490 units ²

Answer:

490 units squared

Step-by-step explanation:

Step-by-step explanation:

According to the graph, the probability of 2 successes is 0.36, which rounds to 0.4.

The number of success is X = 2, the P(success) = 0.4 according to the given histogram.

It's a field of mathematics that studies the probability of a random event occurring. From 0 to 1, the value is expressed.

Number of successes is represented by X (given)

X = 2

The number of successes are plotted on the X - axis of the histogram

So according to the graph , P(success at X = 2) = 0.36

Rounding off the probability to 0.4

Hence, the P(success at X = 2) = 0.4 according to the histogram.

Learn more about probability on:

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Answer:

Step-by-step explanation:

If the ratio is soda to juice, set up the proportion like this:

[tex]\frac{s}{j}[/tex]

and everything related to soda goes on top and everything related to fruit juice goes on the bottom.  You just want the ratio, so it is best stated as follows:

[tex]\frac{soda}{juice}[/tex]

just to be clear on what s and j mean!

You could use this proportion to solve problems with one unknown.

Answer:

23 students expected to have scores greater than 60.

Step-by-step explanation:

60 is 2 standard deviations above the mean.  This translates into a z-score of +2.  According to a table of z-scores, the area under the standard normal curve to the left of z = 2 is 0.9772; that to the right of z = 2 is 1.0000 - 0.9772, or 0.0228.  This 0.0228 represents the probability that a given score is greater than 60.

This fraction (0.0228) of 1000 students comes out to 23 (rounded up from 22.75).

Final answer:

To find the expected number of students who had scores greater than 60 on a standardized test, we can calculate the probability using the properties of the normal distribution. The expected number is approximately 23 students.

Explanation:

To find the expected number of students who had scores greater than 60, we can use the properties of the normal distribution. We know that the mean score is 50 and the standard deviation is 5. We want to find the probability of getting a score greater than 60. First, we need to calculate the z-score for a score of 60 using the formula:

z = (x - μ) / σ

where x is the score, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z = (60 - 50) / 5 = 2

Next, we use a z-table or calculator to find the area to the right of z = 2. This represents the probability of getting a score greater than 60. A z-table or calculator will give us a value of approximately 0.0228.

Finally, we multiply this probability by the total number of students (1000) to find the expected number of students who had scores greater than 60:

Expected number = probability * total number of students = 0.0228 * 1000 = 22.8

Therefore, we can expect approximately 23 students to have scores greater than 60.

Answer:

32

Step-by-step explanation:

Since AP and BP are tangents from the same point, they are equal. So 2x+12=4x-8. So solving for x, we get 2x=20. So x=10. Plugging that in, we get 20+12=32. So the answer is 32.

Answer:

50x.2 is the correct expression. :)

Step-by-step explanation:

50x.2 =10

So you would get a $10 discount off of a $50 video game.

Hope this helps! If you don't mind, please mark as brainliest! Thx :)

Answer:

0.80($50)

Step-by-step explanation:

1.00 times the $50 cost is the initial price of the video.

(1.00 - 0.20) times $50 is the discounted price.

0.80($50) is the desired expression.

Next time, please be sure to share the answer choices.  Thanks.

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

[tex]a(n)=ar^{n-1}[/tex]

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

[tex]ar^{5-1}=40\\ar^4=40[/tex]

[tex]ar^{7-1}=10\\ar^6=10[/tex]

We can solve for a in the first equation as:

[tex]ar^4=40\\a=\frac{40}{r^4}[/tex]

Now we can plug this into a of the 2nd equation:

[tex]ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}[/tex]

Let's solve for a:

[tex]a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640[/tex]

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

[tex]ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80[/tex]

possible values of 4th term is 80 & - 80

Answer:

70 points

Step-by-step explanation:

Let n represent Noah's score, m as Maya's score, and c as Claire's score.

n=20

m=30

c=?

Let's try make an equation for this problem. The mean score for the three of them is 40, so the following equation is possible:

n+m+c/3=40

Now replace the variable with their values and continue to simplify.

20+30+c/3=40

Multiply both sides by 3.

20+30+c=120

Add 20 and 30 together.

50+c=120

Subtract 50 from 120 to find c.

c=70

Claire's score is 70 points.

Final answer:

To find Claire's score, calculate the total points based on the mean score and then subtract the scores of Noah and Maya. This calculation reveals that Claire's score was 70 points.

Explanation:

The question asks for the score of Claire based on the mean score of Noah, Maya, and Claire combined. Noah scored 20 points, Maya scored 30 points, and the mean score for all three players was 40 points.

To find Claire's score, we first calculate the total points scored by all three. The mean score is the total points divided by the number of scores, which in this case is 3. Therefore, we multiply the mean score (40 points) by 3 to get the total points.

Mean score × number of players = Total points

40 × 3 = 120 points

Next, we subtract Noah's and Maya's scores from the total to find Claire's score.

Total points - Noah's score - Maya's score = Claire's score

120 points - 20 points - 30 points = 70 points

Therefore, Claire's score was 70 points.

Answer:

it's A&B

Step-by-step explanation:

Answer:

[tex]\large \boxed{\mathrm{\bold{A.} } \ \frac{2}{x^4-y^4} \cdot \frac{1}{x^4 +y^4}} \\\\\\ \large \boxed{\mathrm{\bold{B.} } \ \frac{2}{(x^4)^2 -(y^4)^2 } }[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2}{x^8-y^8 }[/tex]

Factor the denominator.

[tex]\displaystyle \frac{2}{(x^4)^2 -(y^4)^2 }[/tex]

[tex]\displaystyle \frac{2}{(x^4-y^4)^2 }[/tex]

[tex]\displaystyle \frac{2}{(x^4-y^4)(x^4 +y^4) }[/tex]

Split the fraction into two fractions.

[tex]\displaystyle \frac{2}{x^4-y^4} \cdot \frac{1}{x^4 +y^4}[/tex]

Answer:

4(a + b)^2

p = 6/5 or 1.2

Step-by-step explanation:

Question One

z = a^2 + b^2

y = ab

4z = 4*a^2 + 4*b^2

8y = 8*ab

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

4z + 8y = 4a^2 + 8ab + 4b^2

4z + 8y = 4(a^2 + 2ab + b^2)

4z + 8y = 4(a + b)^2

Question Two

2(p + 1) + 8(p - 1) = 5p

2p + 2 + 8p - 8 = 5p

2p + 8p + 2 - 8 = 5p

10*p - 6 = 5p

10*p = 5p + 6

10p - 5p = 6

5p = 6

p = 6/5 or 1.2

Answer:

  B.  14.34

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between the side opposite the angle of interest and the hypotenuse:

  Sin = Opposite/Hypotenuse

For the given triangle, this means ...

  sin(35°) = b/25

  b = 25·sin(35°)

  b ≈ 14.34

Answer:

The third choice is correct

Step-by-step explanation:

The given expression is

[tex]2^n-1[/tex]

when n=7, we substitute into the formula to obtain;

[tex]2^7-1[/tex]

Note that;

[tex]2^7=2\times 2\times 2\times 2\times 2\times 2\times 2=128[/tex]

[tex]2^7-1=128-1=127[/tex]

The third choice is correct

Answer:

d. 4,-5,-2

Step-by-step explanation:

The values of {a}, {b} and {c} in the quadratic equation are a = 4, b = 5, c = 2 respectively.

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c.

Given is the quadratic equation as follows -

5x + 4x² + 2 = 0

The given quadratic equation is -

5x + 4x² + 2 = 0

4x² + 5x + 2 = 0

A quadratic equation is of the form -

ax² + bx + c

So, on comparing, we get -

a = 4, b = 5, c = 2

Therefore, the values of {a}, {b} and {c} in the quadratic equation are a = 4, b = 5, c = 2 respectively.

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In matrix from, the system is

[tex]\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}3&-1&-1\\1&1&-1\\1&-1&1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}[/tex]

The coefficient matrix has eigenvalues [tex]\lambda[/tex] such that

[tex]\begin{vmatrix}3-\lambda&-1&-1\\1&1-\lambda&-1\\1&-1&1-\lambda\end{vmatrix}=-(\lambda-2)^2(\lambda-1)=0\implies\lambda=2_{(2)},\lambda=1[/tex]

(where the subscript denotes multiplicity of the eigenvalue).

[tex]\lambda=2[/tex]:

[tex]\begin{bmatrix}1&-1&-1\\1&-1&-1\\1&-1&-1\end{bmatrix}\vec\eta_1=\vec0[/tex]

[tex]\implies\eta_{1,1}-\eta_{1,2}-\eta_{1,3}=0\implies\eta_{1,1}=\eta_{1,2}+\eta_{1,3}[/tex]

By picking [tex]\eta_{1,1}=1[/tex], we can then set [tex]\eta_{1,2}=1[/tex] and [tex]\eta_{1,3}=0[/tex], and vice versa, to find two corresponding eigenvectors,

[tex]\vec\eta_1=\begin{bmatrix}1\\1\\0\end{bmatrix},\vec\eta_2=\begin{bmatrix}1\\0\\1\end{bmatrix}[/tex]

[tex]\lambda=1[/tex]:

[tex]\begin{bmatrix}2&-1&-1\\1&0&-1\\1&-1&0\end{bmatrix}\vec\eta_3=\vec0[/tex]

[tex]\implies2\eta_{3,1}-\eta_{3,2}-\eta_{3,3}=0\implies2\eta_{3,1}=\eta_{3,2}+\eta_{3,3}[/tex]

We obtain [tex]\vec\eta_3[/tex] independent of [tex]\vec\eta_1,\vec\eta_2[/tex] by picking [tex]\eta_{3,2}=\eta_{3,3}=1[/tex], so that the third corresponding eigenvector is

[tex]\vec\eta_3=\begin{bmatrix}1\\1\\1\end{bmatrix}[/tex]

Then the general solution to this system is

[tex]\begin{bmatrix}x\\y\\z\end{bmatrix}=C_1e^{2t}\vec\eta_1+C_2te^{2t}\vec\eta_2+C_3e^t\vec\eta_3[/tex]

[tex]\begin{cases}x=C_1e^{2t}+C_2te^{2t}+C_3e^t\\y=C_1e^{2t}+C_3e^t\\z=C_2te^{2t}+C_3e^t\end{cases}[/tex]

To find the general solution of the given system of differential equations, we can solve each equation separately and obtain the general solution for x(t), y(t), and z(t).

The given system of differential equations is:

dx/dt = 3x - y - z

dy/dt = x + y - z

dz/dt = x - y + z

To find the general solution, we can treat each equation separately.

For dx/dt = 3x - y - z, we can rewrite it as:

dx / (3x - y - z) = dt

Integrating both sides gives us:

ln|3x - y - z| = t + C1, where C1 is the constant of integration.

Exponentiating both sides gives us:

|3x - y - z| = e^(t+C1)

Since |3x - y - z| is always positive, we can remove the absolute value signs:

3x - y - z = e^(t+C1)

Now, we can solve the remaining two equations in a similar manner to find y(t) and z(t).

By solving the three equations, we can obtain the general solution for x(t), y(t), and z(t).

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Answer:

[tex]\frac{2c}{3x^2c}+ \frac{36x^3c}{3x^2c} +\frac{24x^2}{3x^2c} [\tex]

Step-by-step explanation:

We need to find sum of 2 / 3x^2 +12x and 8 / c

So, solving:

[tex](\frac{2}{3x^2} + 12 x ) +\frac{8}{c}[/tex]

Taking LCM of 3x^2 and 1 i.e. 3x^2

[tex]=(\frac{2 + 12 x(3x^2)}{3x^2} ) +\frac{8}{c}\\=(\frac{2 + 36x^3}{3x^2} ) +\frac{8}{c}\\=\frac{2 + 36x^3}{3x^2} +\frac{8}{c}\\LCM \,\, 36x^2 c\\=\frac{(2 + 36x^3)c + 8(3x^2)}{3x^2c}\\=\frac{2c + 36x^3c + 24x^2}{3x^2c}\\= \frac{2c}{3x^2c}+ \frac{36x^3c}{3x^2c} +\frac{24x^2}{3x^2c}[/tex]

Answer:

C $2392

Step-by-step explanation: