Help!! 10. Find the perimeter of the figure below. Combine like terms if necessary. show your work.
a. 28x+18
b. 28x-8
c. 28x+8
d. 28x-18

The number of blocks with exactly one red face is 25000 - 1200 = 23800.

The entire 10 * 10 * 10 cube has a total of 6 x 10^2 = 600 red faces, since all six faces are painted red.

When the cube is cut into ten 10 * 10 * 1 slices, each slice will have 100 red faces (since it has 10 * 10 = 100 square faces in total). Thus, all ten slices will have a combined total of 1000 red faces.

When each of these ten slices is cut into twenty-five 2 * 2 * 1 blocks, each block will have at least one face that was originally a red face. Specifically, there are two 2 * 2 faces and two 1 * 2 faces on each block, so at least one of these must be a red face. Therefore, there are a total of 25 x 1000 = 25000 blocks that have at least one red face.

To count the number of blocks with exactly one red face, we need to subtract the number of blocks with more than one red face from the total number of blocks with at least one red face.

Each 2 * 2 * 1 block has four edges, and each edge is shared by two adjacent blocks. Therefore, the total number of edges in the 25000 blocks is 4 x 25000 / 2 = 50000.

However, each block with more than one red face contributes twice to this count, since it shares two red edges with its neighbors. There are 600 blocks with more than one red face (the ones in the center of each slice), so they contribute 2 x 600 = 1200 to the total count.

Thus, the number of blocks with exactly one red face is 25000 - 1200 = 23800.

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The  five roles for women during the Civil War are

If I was to be a woman during the Civil War, I would  be a nurse.

Women were important as nurses during the Civil War, care for wounded marines on the front lines and in nursing homes, risking their own lives. Women dressed as spies during the war, unrecognizable as men, have a lot of knowledge for Union or Confederate forces.

Women took on new roles in the workforce during the war, making everything from ammunition to uniforms. Teachers educated women taught during war, soldiers disguised as men fought in battles.  Caring for soldiers would be fulfilling. I would feel a duty to assist vets.

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Answer:

$2.50

Step-by-step explanation:

$3.50 * 5 = $17.50

$17.50 - $15.00 = $2.50

Hope this helps

Answer:

3.50 x 5 = 17.50 - 15.00 = 2.50

Step-by-step explanation:

youll save $2.50

The simplified form of the given expression has a numerator of (x + 9)(2x + 1) and the denominator of (x + 7) and the expression does exist when (x = 9) and this can be determined by factorizing the given expression.

By identifying the biggest factors that the terms in the equation have in common, factoring is a technique used in mathematics to simplify algebraic expressions.

Given :

Expression - \(\frac{3x^2 - 27x}{2x^2+13x-7}\) ÷ \(\frac{3x}{4x^2-1}\)

First, factorize the expression, \(4x^2-1\)

So, \(4x^2-1\) = \((2x-1) (2x+1)\)

Now, factorize the equation: \(2x^2+13x-7\)

\(2x^2+13x-7\) = \(2x^2+14x -x -7\)

                     = \(2x(x+7) -1(x+7)\)

                     = \((2x-1) (x+7)\)

Now, factorize the equation: \(3x^2-27x\)

So, \(3x^2-27x\) = \(3x(x-9)\)

Now, substitute the factorized terms in the given expression:

= \(\frac{3x(x-9)}{(2x-1) (x+7)}\) ÷ \(\frac{3x}{(2x-1) (2x+1)}\)

= \(\frac{(x+9) (2x+1)}{(x+7)}\)

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The complete question is as follows:

Select the correct answer from each drop down menu. The simplest form of this quotient has a numerator of... and a denominator of.... The expression does exist when x=......

The perimeter of the isosceles right triangle comes to be 6+3√2.

Given that the length of one leg of an isosceles right triangle = 3 ft

A right-angle triangle having sides other than hypotenuse equal to each other is called an isosceles right triangle.

So, The length of the other leg of an isosceles right triangle = 3 ft

From Pythagoras theorem

Hypotenuse²=Perpendicular²+Base²

So, in the given isosceles right triangle

Hypotenuse²=Leg 1²+Leg2²

Leg 1=Leg2 = 3 feet

Hypotenuse² =  3²+3²

Hypotenuse = 3√2 ft.

So, the perimeter of the triangle = 3+3+ 3√2

The perimeter of the triangle =6+3√2

Therefore, The perimeter of the isosceles right triangle comes to be 6+3√2.

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Answer:

6 + 3 StartRoot 2 EndRoot ft

Step-by-step explanation:

Edge2022

Answer:

h=rt.96=4 rt.6

Step-by-step explanation:

r=2 inches

therefore 100= root over h + 4

          =>h=rt.96=4 rt.6

The median age of the presidents at their death is 69.

The median is the value that is exactly in the middle of a dataset when it is arranged in order. It is a measure of central tendency which separates the lowest 50% from the highest 50% of values.

The median formula is {(n + 1) / 2}th, where “n” is the number of items in the set and “th” means the (n)th number. To find the median, first arrange the data points from smallest to largest.

The steps for finding the median differ depending on whether we have an odd or an even number of data points. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.

In this case, the number of data points is even, that is 38. So, the median is:

= {(n + 1) / 2}th

= {(38 + 1) / 2}th

= 19,5th

Thus, it means the median is the average of the 19th and 20th in the data points. So, it will be:

Median = (68 + 70) / 2

Median = 138 / 2

Median = 69

Hence, the median age of the presidents at their death is 69.

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Although part of your question is missing, you might be referring to this full question: This list shows the age at which 38 U.S. Presidents died.

46 58 64 68 73 80 90

49 60 65 70 74 81 93

53 60 66 71 77 83

56 63 67 71 78 85

56 63 67 71 78 88

57 64 67 72 79 90

What is the median age of the presidents at their death?

A. 69

C. 68

b. 67.5

d. 70

Answer:

\(x=6\)

Step-by-step explanation:

AC = AB + BC

\(18x-7=(7x+29)+30\)

\(18x-7=7x+29+30\)

\(18x-7=7x+59\)

Add 7 to both sides:

\(18x-7+7=7x+59+7\)

\(18x=7x+66\)

Subtract 7x from both sides:

\(11x=66\)

Divide both sides by 11:

\(\frac{11x}{11}=\frac{66}{11}\)

\(x=6\)

Answer:

(s+2)^3

Step-by-step explanation:

I think this is referring to a square as a box, so the length of a jewelry box would be s. We learn that a shipping box is 2 inches longer, so s+2 = the length of the shipping box.

Volume = Length*Width*Height, but if square, all dimensions are the same, so s+2 to the power of 3 would be your answer.

Answer:answer (s+2)^3

Step-by-step explanation: ( I did it on iready

The decibel level of the sound from the leaf blower is approximately 104 dB.

The decibel level of a sound is measured in logarithmic units and is defined as the ratio of the sound's intensity to a reference intensity that is just barely audible to the human ear.

The decibel level (dB) of a sound is given by the equation 10 log(I/I_0), where I is the intensity of the sound being measured and I_0 is the reference intensity.

For this problem, the intensity of the sound from the leaf blower is given as 28 × 10^-2 W/m².

The reference intensity is generally taken to be 1 × 10^-12 W/m².

Substituting these values into the formula, we get: 10 log(28 × 10^-2 / (1 × 10^-12)) = 10 log(28 × 10^10) = 10 (10.447) ≈ 104.47

Therefore, the decibel level of the sound from the leaf blower is approximately 104 dB.

Decibel (dB) is a unit used to measure the intensity or level of sound, as well as the ratio of power or amplitude of a signal. It is a logarithmic unit that compares the measured quantity to a reference level. The decibel scale is logarithmic because the human perception of sound intensity is not linear. A change of 1 dB is considered the smallest perceptible difference in sound level, while a change of 10 dB is perceived as approximately a doubling or halving of loudness.

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The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

Given,The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam.

For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section.

The strength of an oak beam is 69, when the beam is 7 inches wide and 3 inches deep.Thus, we can conclude that k, a constant of proportionality exists, such that: S=k(W x D²), where W is the width, D is the depth of the rectangular cross-section and S is the strength of the beam.

Let's use this to calculate k: When the beam is 7 inches wide and 3 inches deep, S=69. Thus, we get:k = S/W x D²=69/(7 x 3²)=1.

Thus, the equation for S becomes:S = W x D²The radius of the oak tree is 28/2 = 14 inches and the beam must be 14 inches wide.

This implies that the rectangular cross-section of the beam must be square (or the largest rectangular cross-section is a square). Let the side of the square cross-section be x.

Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inchesWe need to determine the depth of the beam. The depth of the beam is half the height of the cylindrical log from which the beam is cut. The cylindrical log has a diameter of 28 inches. The beam has a width of 14 inches.

The largest rectangular cross-section is a square with sides of length x. This cross-section can be obtained by cutting the log at a height of x/2 from its center.Since the diameter is 28 inches, the radius is 14 inches. The height at which the beam is cut is h = 14 - x/2.

Thus, the depth of the rectangular beam cut from the cylindrical log is given by: D = 2(h) = 2(14 - x/2) = 28 - x.Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69Simplifying the above equation,x⁴ - 56x³ + 784x² - 69 = 0.

Using polynomial long division, we get:(x² + 16x - 69)(x² - 40x + 1) = 0The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.Therefore, the  answer is (b) S = 2231.

The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. Let the side of the square cross-section be x. Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inches. Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69.The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

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The explanation is given below:

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

The graph you have plotted is correct.

But it hasn't been consider the x- integer.

By looking the graph closely,

the graph is in III quadrant, in III quadrant x and y both are negative.

Let us take the first point (-6, -2).

So, here x is (-6) and y is (-2).

Hence, there are both integers are located in the graph.

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Answer:

I think option B) -5

I hope help you

Answer:

your answer will be the last Option 5

Step-by-step explanation:

hope it helps

Answer:

d

Step-by-step explanation:

d because 21/45 copies were sold out and monday 14/25 copies were sold out only 35/70 copies were sold out all together

Answer:

I think d, hope this helps

Step-by-step explanation:

I think d because 21/45 copies were sold out and monday 14/25 copies were sold out only 35/70 copies were sold out all together

Answer: \(33.2\)

Step-by-step explanation:

Given

CE=85

\(\angle C=67^{\circ}\)

In \(\triangle CDE\), using trigonometry

\(\Rightarrow \cos 67^{\circ}=\dfrac{CD}{CE}\\\\\Rightarrow CD=CE\cos 67^{\circ}\\\\\Rightarrow CD=85\times \cos 67^{\circ}\\\\\Rightarrow CD=33.2\)

Given:

A figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

\(\cos \theta =\dfrac{Base}{Hypotenuse}\)

In the given figure,

\(\cos C =\dfrac{CD}{CE}\)

\(\cos 67^\circ =\dfrac{x}{85}\)

\(0.39073\times 85=x\)

\(33.21205=x\)

Round to the nearest tenth.

\(x\approx 33.2\)

Therefore, the measure of x is 33.2 units.

The number of outcomes in the complement of the event is 163

The statement is given as:

Out of 301 apartments in a complex, 138 are available for rental.

This means that

Apartments = 301

Rental = 138

The complement is calculated as:

Complement = Apartment - Rental

So, we have

Complement = 301 - 138

Evaluate

Complement = 163

Hence, the number of outcomes in the complement of the event is 163

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Answer:

She would make $225.00 if she worked for 30 hours

The distance that she runs from one corner of the field to another is given as follows:

147.1 yards.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:

d² = 85² + 120²

d = sqrt(85² + 120²)

d = 147.1 yards.

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Answer:

44.8

Step-by-step explanation:

44.4 - (-0.4) = 44.8

a) The expected value of X is 5/8.

b) The expected value of Y-\(X^2\) is 1/16.

c) The variance of X is 21/64.

(a) The expected value of a discrete random variable X with possible values x1, x2, ..., xn and corresponding probabilities p1, p2, ..., pn is given by:

E(X) = Σ(pi \(\times\) xi) for i = 1 to n

Using this formula, we can calculate the expected value of X as follows:

E(X) = (1/8\(\times\)(-1)) + (2/8 \(\times\)0) + (5/8 \(\times\) 1) = 5/8

Therefore, the expected value of X is 5/8.

(b) To find the probability function of Y-\(X^2\), we need to find the possible values of Y-\(X^2\) and their corresponding probabilities.

Y takes values -1, 0, 1 with probabilities 1/8, 2/8, 5/8 respectively. Therefore, Y-X^2 takes values (-1 - \((-1)^2\)), (0 - \(0^2\)), (1 - \(1^2\)), which simplify to -2, 0, and 0, respectively.

The probabilities of Y-X^2 taking these values can be found by considering all possible combinations of the values of X and Y. For example, when X = -1 and Y = -1, we have Y-\(X^2\) = -1 - \((-1)^2\) = -2. The probability of this occurring is 1/8 \(\times\)1/8 = 1/64. Continuing in this way, we can find the probabilities for all possible values of Y-\(X^2\):

Y-\(X^2\) = -2 with probability 1/64

Y-\(X^2\) = 0 with probability 3/8

Y-\(X^2\) = 2 with probability 5/64

Now we can calculate the expected value of Y-\(X^2\) as follows:

E(Y-\(X^2\)) = (-2 \(\times\) 1/64) + (0 \(\times\) 3/8) + (2 \(\times\) 5/64) = 1/16

Therefore, the expected value of Y-\(X^2\) is 1/16.

(c) The variance of a discrete random variable X with possible values x1, x2, ..., xn and corresponding probabilities p1, p2, ..., pn is given by:

Var(X) = E(X^2) - [E(X)\(]^2\)

To calculate Var(X), we need to first calculate E(X^2). Using the formula for expected value, we have:

E(X^2) = (1/8 \(\times\)\((-1)^2\)) + (2/8 \(\times\) \(0^2\)) + (5/8 \(\times\) \(1^2\)) = 7/8

Now we can calculate Var(X) using the formula above:

Var(X) = E(\(X^2\)) - [E(X)\(]^2\) = 7/8 - (5/8\()^2\) = 21/64

Therefore, the variance of X is 21/64.

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Answer:

Your first answer is correct.

Second question: 300 ft.

Step-by-step explanation:

2nd problem, create a proportion.

\(\frac{220}{x}=\frac{305}{416} \\305x = 91520\\\frac{305x}{305}= \frac{91520}{305} \\x=300\)

Answer:

Other operators said Rispens should consider investing in growing more backyard-garden-type fruits and vegetables, like tomatoes, lettuce, cucumbers and even Brussels sprouts. Their customers want to grow their own food, to be self-sufficient and to feel safer about what they are eating.

This is not the question, the correct question is:

A humanities professor assigns letter grades on a test according to the following scheme. A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores.

Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.

Answer:  The numerical limits for grade B is 81 and 92

Step-by-step explanation:

Given that

mean Ж = 79

Standard deviation S = 8.4

B: Scores below the top 6% and above the bottom 59%

To find the numerical value for Grade B

Below the top bottom 6% ( 0.06) is

p ( X < Ж ) = 1 - 0.06

p ( X < Ж ) = 0.94

therefore

P( (X - ц)/S < (X - Ж) / S)) = 0.94

(X - 79) / 8.4 = 1.5548 ( from normal distribution table )

X - 79 = 13.0603

X = 13.0603 + 79

X = 92.06 ≈ 92 ( nearest whole number)

Above bottom 59% ( 0.59) is

p ( X < Ж ) = 0.59

therefore

P( (X - ц)/S < (X - Ж) / S)) = 0.59

(X - 79) / 8.4 = 0.2275 ( from normal distribution table )

X - 79 = 1.9114

X = 1.9114 + 79

X = 80.91 ≈ 81 ( nearest whole number)

So the numerical limits for grade B is 81 and 92

The statement that is correct about a probability distribution is: All of these choices are correct.

A probability distribution is a statistical function that illustrates all the probable outcomes (or events) of a random variable.

It reveals each possible outcome's likelihood of occurrence and the outcome's corresponding probability.

Probability distributions can be classified into two categories: discrete and continuous.

A discrete probability distribution is characterized by discrete variables, whereas a continuous probability distribution is characterized by continuous variables.

Here are the correct statements about probability distribution:

The outcomes must be mutually exclusive.

The sum of all possible outcomes must equal 1.0.

The probability of each outcome must be between 0.0 and 1.0 inclusive.

All of these statements mentioned above are correct about a probability distribution.

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Answer: \(A = 500(1.0125)^{100}\)

Step-by-step explanation:

Compound interest

A = P(1 + r/n)^nt

A is the final amount (what we are solving for)

P is the initial principal balance (P=500)

r is the interest rate as a decimal (r=0.05)

t is the time (25 years)

n is the number of times it is compounded yearly (every three months so n=4)

A = 500(1 + 0.05/4)^4(25)

A = 500(1 + 0.0125)^4(25)

A = 500(1.0125)^4(25)

A = 500(1.0125)^100

Answer:

16, 25, 100, 144, 225, 10000 are perfect squares the rest are not. These are perfect squares because they can be multiplied by the same number and it'll equal it. For example 5×5=25 however there's no number that can be mutied by itself and equal 125.

Answer:

I think its:

Q1= x=(9+y)/2

Q2= x=(-20-6xy)/4

Step-by-step explanation:

Q1)

X-y=9

2x-y=9

2x=9+y

x=(9+y)/2

Q2)

4x-2y=-20

4x-2(-3x)=-20

4x+6xy=-20

4x=-20-6xy

x=(-20-6xy)/4

The estimates are used to construct the estimated regression equation:

ŷ = b0 + b1x.

Therefore, the estimates are used to construct the estimated regression equation: ŷ = b0 + b1x.

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Answer:

f(8)=-161

Step-by-step explanation:

f(x) = -3x^2 + 3x + 7

f(x) = -3x2 + 3x + 7

f(8)= -3(8)^(2) + 3(8) + 7= -192+24+7=-161

Answer:

f(8) = -161

Step-by-step explanation:

The question is asking us to evaluate the function.

In this problem, the function is:

\(\large{\textsf{$ f(x) = -3x^2 + 3x + 7 $}\)

Plug in 8 for x:

\(\large\text{$ f(8) = -3(8)^2 + 3(8) + 7 $}\)

Simplify.

\(\large\text{$ f(8) = -3 * 64 + 24 + 7 $}\)

\(\large\text{$f(8) = -192 + 31 $}\)

\(\large\text{ f(8) = -161}\)

Therefore, f(8) = -161.