For the following right triangle find the side length x round your answer to the nearest hundredth

Answer:

I believe its c

Step-by-step explanation:

The domain of a quadratic function is all real numbers

Answer:

See Below

Step-by-step explanation:

Mary has read a total of 5/8 of the three books assigned for school. To find out how much of the three books Mary has read, we simply add up the fractions she has read from each book.

For the first book, Mary has read 2/8, which can be simplified to 1/4. For the second book, Mary has read 1/8. For the third book, Mary has read 2/8, which can also be simplified to 1/4. Adding up these fractions gives us:

1/4 + 1/8 + 1/4 = 2/8 + 1/8 + 2/8 = 5/8

Therefore, Mary has read 5/8 of the three books assigned for school.

It is important for Mary to keep track of how much of the books she has read to ensure she meets her reading requirements and is prepared for any quizzes or assignments that may come up related to the readings. By breaking down her reading progress by book and day, Mary can also better manage her time and ensure she is making progress towards completing her assignments.

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Answer:

84:56

Step-by-step explanation:

a:b:c

(7:8)

( 12:7)

Answer:

A:C = 3:2

Step-by-step explanation:

A:B = 7:8 is a proportion relationship and can be represented using fractions:

\(\displaystyle{\frac{A}{B} = \frac{7}{8}}\)

Similarly the proportion relation B:C = 12:7 can be represented as:
\(\displaystyle{\frac{B}{C} = \frac{12}{7}}\)

Multiply the first equation by the second
\(\displaystyle\frac{A}{B}\;\mathsf{x}\;\frac{B}{C} = \frac{7}{8}\;\mathsf{x}\;\frac{12}{7}\)

This evaluates to
\(\displaystyle\frac{A}{C} = \frac{12}{8}\)

Simplifying gives us
\(\displaystyle\frac{A}{C} = \frac{3}{2}\)

So A:C = 3: 2

An equation of this line I in the form y = mx + c is y = 2x + 3.

Mathematically, the standard form of the equation of a line can be calculated by using this equation:

y = mx + c

Where:

Next, we would determine the slope of this line by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (11 - 3)/(4 - 0)

Slope, m = 8/4

Slope, m = 2

From the point (0, 3), the y-intercept (c) is equal to 3. Therefore, the equation of this line is given by;

y = mx + c

y = 2x + 3

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Answer:

6 roses

Step-by-step explanation:

divide 21 and 3.50 hope this helps:)

Answer:6

Step-by-step explanation:

21 Divided by 3.5 = 6

2x-8y+3x^2+7y-12x

COMBINE LIKE TERMS

3x²+(2x-12x)+(-8y+7y)

ADD LIKE TERMS

3x^2-10x-y

Therefore the answer is the 2nd option: 3x^2-10x-y

Answer:

So its B

Step-by-step explanation:

Combine like terms

2 −  8 + 3 2 + 7 −  1 2

2  −    +  3  2  −  1 2

2  −    +  3 2  −  1 2

− 1 0  −    +  3  2

Rearrange terms

− 1 0  −    +  3 2

3 2  −  1 0  −  

Solution

3x2 − 10x − y

Answer

-40

Step-by-step explanation:

So first I am going to rewrite so I can understand it better

-8(6 + 3) / 12 + (4 x 5)

Distribute

-48 - 24 / 12 + (4 x 5)

Multiply

-48 - 24 / 12 + 20

Divide

-48 - 12 + 20

Subtract

-60 + 20

Add

-40

Answer:

(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB. Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .Step-by-step explanation:

Step-by-step explanation:

since this is a linear work and function, no, he cannot.

1 house in 4 days.

9 houses then in 9×4 = 36 days.

Answer:

The total price to pay is $95.718.

Step-by-step explanation:

Solve for the total cost of the entrees first

$35(3) = $105

Taking off 14%, that means that the customer is only to pay

100% - 14% = 86% of the total price or 0.86 in decimal

Discounted price = $105(0.86)

Discounted price = $90.30

Lastly, add the 6% sales tax or 0.06 in decimal

Total price = $90.30(1.06)

Total price = $95.718

Answer:

You can use grid method.

That is easy.

Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

Answer: -1/2

Step-by-step explanation:

:)

Answer: He needs 6 baskets

Step-by-step explanation: Its division 24 divided by 4 equals 6

Answer:

He divided by n instead of n-1.

It is sample data so we need to divide by n-1 not n.

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Caitlin buys twice as many apples as oranges.

\(2a=o\)

Apples cost 0.25 and Oranges cost 0.30, we have a maximum of 5 to spend.

\(5-2a(0.30)-0.25a=0\)

\(5=2a(0.30)-0.25a\\5=0.6a-0.25a\\5=0.35a\\a=14\)

Answer:

12

Step-by-step explanation:

0.25x+0.3x*1/2x<5

0.25x+0.15x<5

0.4x<5

x<12.5

hence it is 12

and by < i mean greater than equal

ANSWER

EXPLANATION

We want to write the equation for the function g(x).

From the graph, we see that g(x) was moved 5 units upward from the parent function, f(x). In other words, f(x) was translated vertically upward to result in g(x).

When an exponential function is translated vertically, it changes as follows:

when b > 0, it is an upward translation

when b < 0, it is a downward translation

Therefore, the equation for the function g(x) can be written as:

Please see the attached picture for full solution

hope it helps....

Good luck on your assignment.......

To find the total plus tax she must multiply the price of the pair of pants and 108.75% ≈ 1.0875.

Given:

Alexa went shopping for a new pair of pants.

Sales tax where she lives is 8.75%.

Let x be the price of pants.

Total plus tax = prices of pair of pants *  1.0875.

= x * 1.0875

= 1.0875x.

Therefore to find the total plus tax she must multiply the price of the pair of pants and 108.75% ≈ 1.0875.

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Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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In order to identify the reflection we use the y-axis as a mirror, this means that the distance for every point needs to be equal from the left to the right,

Answer:

\(C. \: \: 7.07\)

Step-by-step explanation:

Coordinates of B are

\((5,5)\)

Coordinates of C are

\((4, - 2)\)

Distance between two points

\( \sqrt{({x_2 - x _1 {)}^{2} + (y_2 - y_1 {)}^{2} }}\)

Distance of BC

\( \sqrt{(4 - 5) {}^{2} + ( - 2 - 5 {)}^{2} } \)

\( \sqrt{ { (- 1}^{2}) + ({ - 7}^{2}) } \)

\( \sqrt{1 +49 } \)

\( \sqrt{50} \)

\(7.07\)

The exact value of BC of the given triangle is 7.07 units.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

The given triangle of the points depicts in the graph is

A=(-1,3)

B=(5,5)

C=(4,-2)

According to given question we have

By the distance formula we get

BC=

\(\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} } \\\\=\sqrt{(4-5)^{2} +(-2-5 )^{2} }\\\\=\sqrt{(-1)^{2} +(-7 )^{2} }\\\\=\sqrt{1+49} \\\\=\sqrt{50}\\\\=5\sqrt{2} \\\\=7.07 units\\\)

Therefore, the exact value of BC of the given triangle is 7.07 units.

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In Ibrahim's dinner party, where he can invite only 7 out of his 12 friends (5 males and 7 females), we need to calculate the probability of three scenarios: having four males and four females, including Salah among the invited guests, and having at least two males.

1. Probability of having four males and four females:

To calculate this probability, we can use the concept of combinations. Out of the total 12 friends, we need to select 4 males and 4 females, and then choose 7 guests from this group of 8. The probability can be calculated as:

P(4 males and 4 females) = (C(5,4) * C(7,3)) / C(12,7)

2. Probability of Salah being among the invited guests:

Since Salah is one of the 12 friends, the probability of selecting him among the 7 invited guests is simply:

P(Salah being invited) = 1 / C(12,7)

3. Probability of having at least two males:

This can be calculated by finding the probability of having 2, 3, 4, 5, 6, or 7 males among the 7 invited guests, and summing up these individual probabilities.

Each of these probabilities can be calculated using the combinations formula, where C(n, r) represents the number of combinations of selecting r elements from a set of n elements.

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Answer:

x = b - a

Step-by-step explanation:

Step 1: Write equation

a + x = b

Step 2: Subtract a on both sides

x = b - a

Answer:

Step-by-step explanation:

We will use the area of the circle to find the radius of the circle since that's all that that is useful for! If the area of the circle is 56 cm squared, then

\(56=\pi r^2\)  and

\(\frac{56}{\pi}=r^2\)  and

\(17.82535363=r^2\) so

r = 4.222 cm

Now that we know that, we will use that.  But first, if we have a square circumscribed in a circle, then we know that from the center of the circle to any of the vertices of the square is the radius of the circle, 4.222. If we split that square into 4 triangles, pull one of those triangles out, we have a right triangle...45-45-90 to be specific.  Just for the sake of argument, put the 90 degree angle as the vertex angle of that right triangle and then split THAT triangle in half by dropping an altitude from the vertex angle to the base.  We still have a 45-45-90 triangle, but now the vertex angle is 45, one of the base angles is 90, and the other base angle is 45.  The hypotenuse of that triangle is the length of the radius we just found.  If the base angle is 45 and the hypotenuse is 4.222, we can use right triangle trig to find the length of the base of that triangle which, consequently, is half of the length of x, our unknown.

\(sin(45)=\frac{x}{4.222}\) and

4.222 sin(45) = x so

x = 2.9854

But don't forget that that x is only half the length of one of the sides of the square.  So multiply it by 2 to get that the side length, which is x, is

x = 5.97

The 90% confidence interval for the mean noise level at these airport locations is approximately (148.1, 171.9).

Step 1 of 4:

To calculate the sample mean for the given sample data, we sum all the values and divide by the sample size.

Sample mean = (162 + 176 + 162 + 141 + 159) / 5 ≈ 160.0 (rounded to one decimal place)

Step 2 of 4:

To calculate the sample standard deviation, we need to find the differences between each data point and the sample mean, square those differences, sum them up, divide by the sample size minus 1, and then take the square root.

Deviation from mean: (162 - 160)^2, (176 - 160)^2, (162 - 160)^2, (141 - 160)^2, (159 - 160)^2

Sum of squared deviations = (2^2 + 16^2 + 2^2 + (-19)^2 + (-1)^2) = 590

Sample standard deviation = sqrt(590 / (5 - 1)) ≈ 9.6 (rounded to one decimal place)

Step 3 of 4:

To find the critical value for a 90% confidence interval, we need to look up the t-value in the t-distribution table with (n-1) degrees of freedom. Here, n is the sample size, which is 5.

Degrees of freedom = 5 - 1 = 4

Looking up the t-value for a 90% confidence level and 4 degrees of freedom, we find it to be approximately 2.776 (rounded to three decimal places).

Step 4 of 4:

To construct the 90% confidence interval, we use the formula:

Confidence interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size)))

Confidence interval = 160.0 ± (2.776 * (9.6 / sqrt(5)))

Calculating this expression will give us the lower and upper bounds of the confidence interval.

Confidence interval = 160.0 ± (2.776 * 4.297) ≈ 160.0 ± 11.9 (rounded to one decimal place)

Using the sample mean, standard deviation, and critical value, we constructed a 90% confidence interval for the mean noise level, which is approximately (148.1, 171.9) decibels. This confidence interval provides an estimate of the range within which the true mean noise level at these airports is likely to fall with 90% confidence.

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