11. Solve the Right Triangle.

Answer:

2 Blocks per Minute

Step-by-step explanation:

You divide 10 by 5 to get 5 to 1. Then you get 2:1

Answer:

2 pm

Step-by-step explanation:

Two times per minute. <3

The ratio of the number of squares to the number of triangles is 5 : 2

The number of triangles that should be added to make the ratio is 6

Ratio expresses the relationship between two or more numbers. It is the number of times that one value is contained in another number.

Ratio of the number of squares to the number of triangles = number of squares : number of triangles

10 : 4

5 : 2

The number of triangles that should be added to make the ratio 1 : 1 - 10 - 4 = 6

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The letters can be added together if they have similar variables.

B and C are like terms. Option B shows the like terms of letters.

A mathematical expression consisting of two terms connected by a plus sign or minus sign is called the binomial expression.

The attachment shows the table of letters and variables.

To multiply binomials, a form of the distributive property is used.

The table has been complete with the final values of letters which are given below.

\(A= (-2x) \times 4x\)

\(A = -8x^2\)

\(B = 3 \times 4x\)

\(B = 12 x\)

\(C = (-2x)\times 1\)

\(C = -2x\)

\(D = 3\times 1\)

\(D = 3\)

From the final values of letters, B and C are the only like terms, they can be added together since they have similar variables.

Hence we can conclude that B and C are like terms. Option B shows the like terms of letters.

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Answer:B

Step-by-step explanation:

took the test

Answer:

11.27 km

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 mile=1.609 km

7miles*1.609=11.263 km

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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The null hypothesis is rejected, and the alternative hypothesis is accepted. Thus, it can be concluded that there is sufficient evidence at the 0.01 level to support the testing firm's claim that the manufacturer's claim is incorrect. Yes, there is sufficient evidence at the 0.01 level to support the testing firm's claim

Given, a manufacturer gives its van a 38.8 miles per gallon (MPG) rating. An independent testing firm was contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 260 vans, they found a mean MPG of 39.0 and the population standard deviation is known to be 2.1.As the sample size (n) is greater than 30 and the population standard deviation is known, a Z-test will be appropriate to check the hypothesis at 0.01 level of significance.Hypothesis: H0:

μ = 38.8 (The claim of the automobile manufacturer)H1:

μ ≠ 38.8 (The claim of the testing firm)The level of significance is 0.01.Z-score calculation,

Z = (X - μ) / (σ / √n)Where X is the sample mean = 39.0μ is the population mean = 38.8σ is the population standard deviation = 2.1n is the sample size = 260Substituting the values, Z = (39.0 - 38.8) / (2.1 / √260) = 3.20.

Here, the level of significance (α) is 0.01 for a two-tailed test, and the Z-score is 3.20. The critical value of Z at α/2 = 0.005 is ± 2.58, obtained from the standard normal distribution table. Since the calculated Z-score is greater than the critical value, it falls in the rejection region of the null hypothesis.

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Answer:

\(\sqrt[8]{197^{7} }\)

Step-by-step explanation:

\(\sqrt[8]{197^{7} }\)

When a family's ratio of income to poverty measurement is 1.05 , then the family is considered by the census bureau as rich.

The "economy food plan," which is based on the U.S. Department of Agriculture, is used as the basis for an absolute poverty indicator in the country. The World Bank also uses an absolute definition of poverty. Extreme poverty is defined as surviving on less than $1.90 USD a day.

A ratio of less than 1 generally indicates that the income is below the poverty line. When the ratio is 1, income and poverty level are equal, and when the ratio is larger than 1, income is greater than poverty level. In this case, the family is rich.

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Answer:

12, 444

Step-by-step explanation:

•First find out what is 8% of 18300

=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]

• Next multiply 1464 by 4 years =5,856

•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money

decreased & 5856 represnt 8% of 18300 in 4 years)

~ Appreciation is when money increases

~Deperciation is when money decreases

The volume of the canister is 339.1 cubic inches.

The volume of a cylinder is calculated by using the formula V=πr²h, where r is the radius of the cylinder and h is the height of the cylinder.

The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.

Using the formula, we can calculate the volume of the canister as follows:

V = π×3²×12

V = 108×3.14

V = 339.1 cubic inches

Therefore, the volume of the canister is 339.1 cubic inches.

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The volume of the cylinder to two decimal places is 904.32 cubic inches.

Volume of a cylinder = πr²h

Where,

π = 3.14

r = 6 in

h = 8 in

Volume of a cylinder = πr²h

= 3.14 × 6² × 8

= 3.14 × 36 × 8

= 904.32 cubic inches

Consequently, the cylinder given the value of π, radius and height has a volume of 904.32 cubic inches.

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Answer: Let's call the number of sandals manufactured in a typical month x, and the number of running shoes manufactured in a typical month y. The total cost for sandals and running shoes in a typical month is $2450, so the following equation represents the cost:

2.5x + 4y = 2450

During the month of April, the company doubled the number of sandals manufactured, so x becomes 2x. The total cost during the month of April is $3700, so the following equation represents the cost:

2.5(2x) + 4y = 3700

Expanding the left side:

5x + 4y = 3700

Subtracting the first equation from the second equation:

5x - 2.5x + 4y - 4y = 3700 - 2450

2.5x = 1250

Dividing both sides by 2.5:

x = 500

Substituting x = 500 into the first equation:

2.5 * 500 + 4y = 2450

Expanding and solving for y:

1250 + 4y = 2450

1250 - 1250 + 4y = 2450 - 1250

4y = 1200

Dividing both sides by 4:

y = 300

So the company makes 500 pairs of sandals and 300 pairs of running shoes during a typical month.

Step-by-step explanation:

Answer:

3y

Step-by-step explanation:

Answer:

your answer is -5-4-3-2-11

Step-by-step explanation:

this is because -5-4-3-2-11=-26, and that is the lowest term there

Answer:

the height of the tree to the nearest tenth of a meter is 13.8 meters

Step-by-step explanation:

The computation of the height of the tree is shown below:

Given that

Distance from the tree is 10 meters

And, the angle of elevation of the tree is 54 degrees

Now here we used the trigonometry

\(tan \theta = \frac{Height}{distance} \\\\tan 54^{\circ} = \frac{height}{10}\)

So, the height is

= 10 × 1.38

= 13.8 meters

hence, the height of the tree to the nearest tenth of a meter is 13.8 meters

The product of x * 5 * 5 is 25x.

The product of 1 * 3 * 3 * 5 is 45.

The product of 1/3 * 2 * 5 is 10/3 or 3.33 (rounded to two decimal places).

To find the product of expressions, you multiply the numbers or variables together according to the given expression.

1. Product of x * 5 * 5:

To find the product of x, 5, and 5, you multiply them together:

x * 5 * 5 = 25x

2. Product of 1 * 3 * 3 * 5:

To find the product of 1, 3, 3, and 5, you multiply them together:

1 * 3 * 3 * 5 = 45

3. Product of 1/3 * 2 * 5:

To find the product of 1/3, 2, and 5, you multiply them together:

1/3 * 2 * 5 = (1 * 2 * 5) / 3 = 10/3 or 3.33 (rounded to two decimal places)

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Its B then A

Step-by-step explanation:

Answer:

You helped me so it's B and A mark me brainliest please

Step-by-step explanation:

The new volume of the air leaving the compressor can be calculated using Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the product of pressure and volume is constant.

According to Boyle's Law,\(P1V1 = P2V2\), where \(P1 and V1\) are the initial pressure and volume, and \(P2 and V2\) are the final pressure and volume, respectively. In this case, we are given the initial volume (V1 = 0.8 cu in) and the initial pressure (P1 = 14.7 psi), as well as the final pressure (P2 = 42 psia).

Using Boyle's Law, we can rearrange the formula to solve for \(V2:\)

\(V2 = (P1 * V1) / P2\)

Plugging in the values, we get:

V2 = (14.7 psi * 0.8 cu in) / 42 psia

Simplifying the equation, we find:

\(V2\) ≈ 0.280 cu in

Therefore, the new volume of the air leaving the compressor is approximately 0.280 cubic inches. It's important to note that this calculation assumes the temperature remains constant throughout the process.

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To break even, 29 units must always be sold. The cost will be $850 per unit, or $24,650.

For the given question-

Total cost c: c = 850x + 250000

Total revenue R: R = 9502x

The point during which costs equal revenues is known as the break-even point.

850x + 250000 = 9502x

9502x - 850x = 250000

8652x = 250000

x = 28.29

x = 29

Thus, to break even, 29 units must always be sold. The cost will be $850 per unit, or $24,650.

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In integration the bindefinite integral of 1/xlnx is

ln(|u|)+C=ln(|lnx|)+C with the aid of using parts, we've discovered whilst the specified formula.

The vital of the 2 capabilities are taken, with the aid of using thinking about the left time period as first feature and 2nd time period as the second one feature.

This technique is referred to as Ilate rule.The vital of xlnx is same to (x2/2) lnx - x2/4 + C, wherein C is the mixing constant. We can compare this vital the usage of the technique of integration with the aid of using parts.

We have the vital:

\(∫1xlnxdx

Use substitution. Let u=lnx so that du=1xdx . Note that each of those are presently gift withinside the vital.

∫1xlnxdx=∫(1lnx)1xdx=∫1udu

This is a not unusualplace vital:

∫1udu=ln(|u|)+C

Since u=lnx :

ln(|u|)+C=ln(|lnx|)+C\)

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Answer:

92°

Step-by-step explanation:

We can say that the angle that is of x degrees is an inscribed angle because its vertex is on the circle and its sides are made up of rays. When you have an inscribes angle, it measures exactly half the angle it intercepts. In this case that angle is 184°. So, because of this we can say:

x = 184° / 2

x = 92°

Evaluating p(4) using Horner's algorithm:

1. To use Horner's algorithm, we write the polynomial in nested form as follows:

p(z) = ((3z - 7)z - 5)z^2 + (z - 8)z + 2

Now, we can evaluate p(4) by starting from the inside and working our way out:

p(4) = ((3(4) - 7)4 - 5)4^2 + (4 - 8)4 + 2

= (5)4^2 - 4 + 2

= 78

Therefore, p(4) = 78.

2. Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 78 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 78 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

3. Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

4. We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (78 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^2 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.9167

We can continue to iterate using this formula to get better approximations for the root of p(z).

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

In this problem, we will use Horner's algorithm to evaluate p(4) for a given polynomial, find its Taylor series expansion about the point z0 = 4, and then use Newton's method to find an approximation for a root of the polynomial.

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Hello

The question here relates to property of real numbers and it's called commutative property of multiplication

commutative property of multiplication states that

x.y = y.x

note: zero property of multiplication was also used in this case since any number multiplied by zero is equal to zero

The, (overline{DF} ) has a length of ( sqrt{74} ) units in case (b).

To find the length of (overline {DF} ) in both cases, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

(a) Given ( DE = 16) and ( EF = 12 ), we can find ( DF ) using the Pythagorean theorem:

\[ DF^2 = DE^2 + EF^2 \]

\[ DF^2 = 16^2 + 12^2 \]

\[ DF^2 = 256 + 144 \]

\[ DF^2 = 400 \]

Taking the square root of both sides, we get:

[ DF = sqrt{400} = 20 ]

Therefore, (overline{DF} ) has a length of 20 units in case (a).

(b) Given ( DE = 7 ) and ( EF = 5 ), we can apply the Pythagorean theorem again to find ( DF ):

\[ DF^2 = DE^2 + EF^2 \]

\[ DF^2 = 7^2 + 5^2 \]

\[ DF^2 = 49 + 25 \]

\[ DF^2 = 74 \]

Taking the square root of both sides, we have:

[ DF =sqrt{74} ]

Therefore, (overline{DF} ) has a length of (sqrt{74} ) units in case (b).

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The different ways can he line the textbooks up on his bookshelf is 6

The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation.

Given that, Adam is organizing textbooks on his bookshelf. He has a Spanish textbook, a biology textbook, and a history textbook.

The number of ways to arrange n things = n!

Number of different books = 3

Number of different ways to arrange 3 different books = 3!

Number of different ways to arrange 3 different books = 3 x 2 x 1

Number of different ways to arrange 3 different books = 6

Hence, the different ways can he line the textbooks up on his bookshelf = 6

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Answer:

THE ANSWER IS AS FOLLOWS

Step-by-step explanation:

The following statements are true based on the given information:

- The largest total number of electronic devices sold was on Wednesday.

- The smallest number of TVs sold was on Monday.

- The same number of phones was sold on each of Monday, Tuesday, and Wednesday. (Note: we cannot tell from the chart whether this number was zero or some other value.)

- On Tuesday, more tablets were sold than any other type of electronic device.

A graph is a way to represent a lot of data in such a visual format.

Hence, The correct statements are A, B, and D.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that is correct about the given table is,

A.) The largest total number of electronic devices sold was on Wednesday.

B.) The smallest number of TVs sold was on Monday.

D.) On Tuesday, more tablets were sold than any other type of electronic device

hence, the correct statements are A, B, and D.

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Answer:

157.9 ft^3

Step-by-step explanation:

The formula for the volume of a cylinder is v = πr^2h.

π times the radius which equals 2 and then square the answer which equals a long decimal. Multiply that by the height which is 4. That also equals a long decimal but when rounded to the nearest tenth, you get 157.9 ft^3

The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,

To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.

First, we find the first derivative of y = 8e^x with respect to x:

dy/dx = 8e^x

Then, we differentiate again to find the second derivative:

d²y/dx² = d(8e^x)/dx = 8e^x

Setting the second derivative equal to zero:

8e^x = 0

Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.

However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.    

In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.  

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