find the surface area of a cube with a side length of 5 centimeters.

To write 5/11 as a decimal you have to divide numerator by the denominator of the fraction. We divide now 5 by 11 what we write down as 5/11 and we get 0.45454545454545. And finally we have: 5/11 as a decimal equals 0.45454545454545.

Answer:

41/35

Step-by-step explanation:

Simplify the following:

4/7 + 3/5

Put 4/7 + 3/5 over the common denominator 35. 4/7 + 3/5 = (5×4)/35 + (7×3)/35:

(5×4)/35 + (7×3)/35

5×4 = 20:

20/35 + (7×3)/35

7×3 = 21:

20/35 + 21/35

20/35 + 21/35 = (20 + 21)/35:

(20 + 21)/35

| 2 | 1

+ | 2 | 0

| 4 | 1:

Answer: 41/35

Using the combination formula, it is found that he has 232 choices.

The order in which the sights are seen is not important, hence the combination formula is used to solve this question.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, the choices are 8, 9, 10 or 11 sights from a set of 11, hence:

\(T = C_{11,8} + C_{11,9} + C_{11,10} + C_{11,11} = \frac{11!}{3!8!} + \frac{11!}{2!9!} + \frac{11!}{10!1!} + \frac{11!}{0!11!} = 232\)

He has 232 choices.

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The solution that satisfies the initial condition y(1) = 1 is:

y(x) = -xe^(-y/x) + (1 + 1/e)|x|

The given differential equation is separable.

To solve it, we can start by separating the variables:

x dy/dx = y + xe^(-y/x)

dy/(y + xe^(-y/x)) = dx/x

Next, we can integrate both sides:

∫ dy/(y + xe^(-y/x)) = ∫ dx/x

ln|y + xe^(-y/x)| = ln|x| + C

where C is the constant of integration.

Simplifying this expression, we have:

y + xe^(-y/x) = D|x|

where D = e^C is another constant of integration.

We can solve for y to get:

y(x) = -xe^(-y/x) + D|x|

Now, we can use the initial condition y(1) = 1 to find the value of D. Substituting x = 1 and y = 1 in the above equation, we get:

1 = -1/e + D

So, D = 1 + 1/e

Therefore, the solution that satisfies the initial condition y(1) = 1 is:

y(x) = -xe^(-y/x) + (1 + 1/e)|x|

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Answer:

it would be “>”, 100% guaranteed.

Answer:

answer is >

Step-by-step explanation:

hope this is helpful

The value of both x and y are 6 degrees in the given figure of arrangement.

What is angle bisector ?

angle bisector is the line which divides the given angle into two equal parts.

a) Here, the line RQ is the angle bisector of angle ∠WRV that is RQ line divides the angle ∠WRV into two equal parts and it is given that :

angle ∠WRQ is 48 degrees

and, angle ∠QRV is 7y+6

Therefore, ∠WRQ = ∠QRV

7y+6 = 48

7y = 48-6

7y = 42

y = 6 degrees

b) It is given that CR is perpendicular to PR that is angle ∠CRP will make 90 degrees and it is given as :

∠CRP = 13x + 12 degrees

90 = 13x + 12

13x = 78

x = 6 degrees

Therefore, the value of both x and y are 6 degrees.

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The triangle with sides 1, 4, and 7 is classified as an impossible triangle.

A triangle must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, the sides are 1, 4, and 7. Adding the lengths of any two sides, we have:

1 + 4 = 5, which is less than 7
1 + 7 = 8, which is greater than 4
4 + 7 = 11, which is greater than 1

Since 1 + 4 is not greater than 7, the triangle inequality theorem is not satisfied, and therefore, a triangle with sides 1, 4, and 7 cannot exist.

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Answer:

(0,0), (0,9), (9,0)

Step-by-step explanation:

The matrix corresponding vertices are:

(0,0)

(0,3)

(3,0)

Rosa scales by 3T, so we need to multiply each point by 3.

(3*0, 3*0)

(0*3, 3*3)

(3*3, 0*3)

=

(0,0)

(0,9)

(9,0)

last answer choice is right.

pls mark me brainly

The vertices of the scaled triangle, 3T is, (0, 0), (0, 9), (9, 0).

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A matrix \(T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}\) represents the vertices of a triangle.

Let, ABC be the triangle,

So, A(0, 0), B(0, 3), C(3, 0).

Now, If \(T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}\), Then \(3T=3\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}\).

Therefore, \(3T=\begin{bmatrix}0 & 0 & 9\\0 & 9 & 0\end{bmatrix}\).

Hence, The new vertices are, (0, 0), (0, 9), (9, 0).

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Answer:8, 6, and 7 are the three factors of the above expression

Step-by-step explanation:

8, 6, and 7 are factors

p and n are variables

0 ≤ x < 2, where x is an integer. Option C

The appropriate domain for the function f(x) = 42 - 15x in the given context can be determined by considering the constraints of the problem.

Tyson has a $50 gift card, and he wants to purchase a belt that costs $8 and x number of shirts that cost $15 each. The function f(x) represents the balance on the gift card after Tyson makes the purchases.

The number of shirts Tyson can purchase depends on the remaining balance on the gift card. Since each shirt costs $15, the maximum number of shirts he can buy is limited by the amount of money left on the gift card.

If we subtract the cost of the belt ($8) and the cost of x shirts ($15x) from the initial balance ($50), we should get a non-negative result, indicating that Tyson has enough money on the gift card to make the purchases.

Therefore, we can set up the inequality:

50 - 8 - 15x ≥ 0

Simplifying, we have:

42 - 15x ≥ 0

Now, we can solve for x:

-15x ≥ -42

Dividing by -15 (remembering to flip the inequality sign), we get:

x ≤ 42/15

x ≤ 2.8

Since x represents the number of shirts Tyson can buy, it should be a whole number. Therefore, the appropriate domain for the function f(x) is:

0 ≤ x ≤ 2, where x is an integer.

Option C.

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The unit rate of ounces of water per cup of flour for this situation is; 3 ounces per cups

From the given graph, we are expected to find the unit rate of ounces of water per cup of flour for the situation.

Now, to find the unit rate , all we need to do is to pick two coordinates on the line graph and find the slope. Thus;

Slope = (y2 - y1)/(x2 - x1)

Slope of graph = (12 - 9)/(4 - 3)

Slope = 3/1

Slope = 3

Let us pick another two points to verify;

Slope = (6 - 3)/(2 - 1)

Slope = 3/1

Slope = 3

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The dressmaker can cut 30 pieces of 12-inch long ribbon from 10 of these rolls of ribbon.

A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 3 feet in length.

We are to determine how many 12-inch pieces the dressmaker can cut from 10 of these rolls of ribbon.

To do this, we need to find out the number of 12-inch pieces in 3 feet of ribbon and multiply that number by 10 (since we have 10 rolls of ribbon).

Let's begin by converting 3 feet into inches as follows;1 foot = 12 inches

Therefore,

3 feet = 3 × 12 inches

= 36 inches

From the above, we know that the dressmaker has 36 inches of ribbon to cut into 12-inch pieces.

Thus, the number of 12-inch pieces that can be cut from 36 inches of ribbon is given by dividing 36 by 12 as follows;

Number of 12-inch pieces = 36 ÷ 12

= 3 pieces

Therefore, from one roll of ribbon, the dressmaker can cut 3 pieces of 12-inch long ribbon

From 10 rolls of ribbon, the number of 12-inch pieces that can be cut is 10 × 3 = 30 pieces.

Hence, the dressmaker can cut 30 pieces of 12-inch long ribbon from 10 of these rolls of ribbon.

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Answer:

Step-by-step explanation:

Multiply 32 by 5 = 160

Multiply 28 by 5 =140

subtract 140 from 160

Answer Horse A would have traveled 20 feet farther the Horse B

Answer:

Based on the given information, it is not possible to definitively determine whether the number generator is fair or not. However, we can make some observations and inferences:

We know that 70% of the socks in the drawer are black, which means that in a random selection of 10 socks, we would expect to see around 7 black socks on average.

The dot plot shows the number of black socks in 10 trials of the number generator. We can see that the number of black socks varies from 0 to 10, with some frequencies being higher than others.

Without knowing the exact frequencies or probabilities, we can see that the dot plot does not appear to be centered around 7 black socks, which is what we would expect from a fair number generator. However, it is difficult to determine whether the deviations from 7 are statistically significant or not, without more information.

Therefore, based on the given information, the most accurate statement is:

The number generator's fairness cannot be determined with certainty from the given data, but there are indications that it may not be perfectly fair.

Step-by-step explanation:

Step-by-step explanation:

5y-6py

y(5-6p)

Answer

hope it helps

Answer:

5y - 6py

y(5-6p)

is the answer

Answer:

n ≥ 50

Step-by-step explanation:

Total pages = 370

Read pages = 20

Number of days remaining = 7

Reading rate per day = n

7n + 20 ≥ 370

7n ≥ 370 - 20

7n ≥ 350

n ≥ 350/7

n ≥ 50 pages per day for the remaining 7 days

Answer:600

Step-by-step explanation:

300,000/ 500 =600

The simplified expression is 2cos²(x) + sinx - 1 = 0

The expression we will be simplifying is

=> 1/sinx+cosx + 1/sinx-cosx = 2sinx/sin⁴x-cos⁴x.

To begin, let us look at the left-hand side of the expression. We can combine the two fractions using a common denominator, which gives us:

(1/sinx+cosx)(sinx-cosx)/(sinx+cosx)(sinx-cosx) + (1/sinx-cosx)(sinx+cosx)/(sinx-cosx)(sinx+cosx)

Simplifying this expression using the distributive property, we get:

(1 - cosx/sinx)/(sin²ˣ - cos²ˣ) + (1 + cosx/sinx)/(sin²ˣ - cos²ˣ)

Next, we can simplify each fraction separately. For the first fraction, we can use the identity sin²ˣ - cos²ˣ = sinx+cosx x sinx-cosx to obtain:

1 - cosx/sinx = (sinx+cosx - cosx)/sinx = sinx/sinx = 1

Similarly, for the second fraction, we can use the same identity to obtain:

1 + cosx/sinx = (sinx-cosx + cosx)/sinx = sinx/sinx = 1

Substituting these values back into the original expression, we get:

1 + 1 = 2sinx/(sin⁴x - cos⁴x)

Now, we can simplify the denominator using the identity sin²ˣ + cos²ˣ = 1 and the difference of squares formula:

sin⁴x - cos⁴x = (sin²ˣ)² - (cos²ˣ)² = (sin²ˣ + cos²ˣ)(sin²ˣ - cos²ˣ) = sin²ˣ - cos²ˣ

Substituting this back into the expression, we get:

2 = 2sinx/(sin²ˣ - cos²ˣ)

Finally, we can simplify the denominator using the identity sin²ˣ - cos²ˣ = -cos(2x):

2 = -2sinx/cos(2x)

Multiplying both sides by -cos(2x), we get:

-2cos(2x) = 2sinx

Dividing both sides by 2, we get:

-cos(2x) = sinx

Using the double-angle formula for cosine, we get:

-2cos²(x) + 1 = sinx

Simplifying this expression, we get:

2cos²(x) + sinx - 1 = 0

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The condition numbers for f(x) = sin(x) / (1 + cos(x)) evaluated at x = 1.0001π indicate the sensitivity of the function's output to changes in the input.

In the first paragraph, we summarize that we will evaluate and interpret the condition numbers for the function f(x) = sin(x) / (1 + cos(x)) at x = 1.0001π. The condition numbers provide insight into how sensitive the function's output is to changes in the input.

To calculate the condition numbers, we first find the derivative of f(x) with respect to x, which is [(cos(x)(1 + cos(x))) - sin(x)(-sin(x))] / (1 + cos(x))^2. Evaluating this derivative at x = 1.0001π gives us the slope of the tangent line at that point.

Next, we calculate the absolute value of the product of the derivative and the input value (|f'(x) * x|) at x = 1.0001π. This represents the absolute change in the output of the function due to small changes in the input.

Finally, we divide |f'(x) * x| by |f(x)| to obtain the condition number, which provides a measure of the relative sensitivity of the function. A larger condition number indicates a higher sensitivity to changes in the input.

Interpreting the condition number can be done by comparing it to a threshold. If the condition number is close to 1, the function is considered well-conditioned and changes in the input have minimal impact on the output. However, if the condition number is significantly larger than 1, the function is considered ill-conditioned, and small changes in the input can lead to large changes in the output.

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Answer:

x is 9648.93756003

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

122

The statement 'The steps involved in a two sample hypothesis test are not necessarily twice the number of steps in a one sample hypothesis test.' is false Because, While a two sample hypothesis test may involve additional steps, such as comparing the means or variances of two samples, the number of steps involved in each type of test can vary depending on the specific hypothesis being tested and the statistical method used.

The number of steps in a hypothesis test is not determined by the number of samples being tested. Instead, the steps involved in a hypothesis test depend on the type of test being conducted, the level of significance chosen, and the nature of the data being analyzed.

In both one-sample and two-sample hypothesis tests, the basic steps involved are as follows:

State the null and alternative hypotheses.

Choose the level of significance.

Determine the appropriate test statistic and its distribution under the null hypothesis.

Collect the data and calculate the test statistic.

Determine the p-value or the critical value.

Draw a conclusion and make a decision regarding the null hypothesis.

The main difference between a one-sample and a two-sample hypothesis test is that in a one-sample test, we compare the sample data to a known population parameter, while in a two-sample test, we compare the sample data from two different groups.

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The algebra properties used to simply the given expression for each steps are;

a) Associative Property

b) Commutative Property

c) Associative Property

The expression to be simplified is (8 * 7)*5

The given steps are;

a. 8 × (7 × 5)

b. 8 × (5 × 7)

c. (8 × 5) × 7

a. The algebra property used here is called Associative Property. This is because multiplying any two numbers first in a set of three numbers does not change the product.

b. The algebra property used here is called commutative property. This is because changing the order of numbers being multiplied does not change the product.

c. The algebra property used here is called Associative property because the numbers are grouped differently, which does not change the answer.

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Answer:

2n(8n + 5)

Step-by-step explanation:

you need to see what you can take out of both the numbers.

ex they both have an 'n' and they both are divisible by 2

Answer:

4 cm long

Step-by-step explanation:

since the original diameter was 8cm long we need to cut 8 in half. this leaves us with 4cm which is the diameter of the largest circular shape that half piece can form.

Learn more:

Diameter: brainly.com/question/5501950

Answer:

306=192-361xj.

Hope this helps!

Answer:

1,250,000

Step-by-step explanation:

875,000 sandals account for 70% of the total pairs sold.

875,000/7 = 125,000

125,000 accounts for 10%.

125,000 * 10 = 1,250,000.

1,250,000 accounts for 100%.

The company sells pairs of shoes in June is 612,500

In Emily's calculation the error she makes in the second last steps she forgets to write the term 70.

Given that,

Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.

We have to determine,

How many shoes did the company sell in June? Analyze Emily's calculations. What error did she make?

According to the question,

Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.

Then,

The shoes did the company sell in June is,

\(= \dfrac{70} {100}\times 875,000\\\\=8750 \times 70 \\\\= 612,500\)

Hence, The company's sells pair of shoes in June is 612,500.

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Answer:

\( \frac{1}{ \frac{ - 3}{ {6}^{x} } } \\ = 1 \times \frac{ {6}^{x} }{ - 3} \\ = - \frac{ {6}^{x} }{3} \)

The perimeter to the nearest tenth, we get: Perimeter ≈ 18.4 units.

What is perimeter?

We can start by using the Pythagorean theorem to find the length of AC:

AC² = AB² + BC²

AC² = 2² + 1.5²

AC² = 4.25

AC = √(4.25)

AC ≈ 2.06 units

Next, we can use the fact that AC is common to both triangles to find the length of CD:

ACD is a right triangle, so we can use the Pythagorean theorem:

CD² = AD² - AC²

CD² = 6.5² - 2.06²

CD² ≈ 39.86

CD ≈ 6.31 units

Now we can find the perimeter of the figure by adding the lengths of all three sides:

Perimeter = AB + BC + CD + DA + AC

Perimeter = 2 + 1.5 + 6.31 + 6.5 + 2.06

Perimeter ≈ 18.37 units

Therefore, none of the given options is the correct answer. However, if we round the perimeter to the nearest tenth, we get:

Perimeter ≈ 18.4 units

And the closest option to this value is option 3) 16 units, which is not very close. Therefore, we can conclude that none of the given options is a correct approximation of the perimeter of the figure.

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