Solve for x in the diagram below.
(2x + 45)°

The statement "Some twins are sisters. All twins are siblings. Therefore, some siblings are sisters" is true.

Usually an illustration of a substantial deductive contention in which the conclusion takes coherently from the premises.

The primary introduction states that a few twins are sisters, which suggests that they are female twins. The moment preface states that all twins are kin, which implies that they are related by blood.

In this manner, on the off chance that a few twins are sisters and all twins are kin, it consistently takes after that a few kin are sisters.

It is imperative to note that the conclusion isn't essentially genuine for all kin, as a few kin may be brothers or mixed-gender twins. Be that as it may, the contention is still consistently substantial since the conclusion takes after coherently from the premises 

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The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).

To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.

The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).

To find the p-value, you would need the F-distribution table or statistical software.

Once you have the p-value, you can compare it to the significance level (α) to make a decision:

If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.

If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.

Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.

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Answer:

6) 1 over 12

7) 10 over 12

8)9 over 12

6.

\(\tt \dfrac{1}{6}\times \dfrac{2}{2}=\dfrac{2}{12}\)

7.

\(\tt \dfrac{5}{6}\times \dfrac{2}{2}=\dfrac{10}{12}\)

8.

\(\tt \dfrac{3}{4}\times \dfrac{3}{3}=\dfrac{9}{12}\)

The set of 4 consecutive integers that add up to 250 are 61, 62, 63, and 64.

61 + 62 + 63 + 64 = 250

Answer:

61 , 62 ,63 , 64

Answer:

1.27cm

Step-by-step explanation:

Volume(v) =100 cm

Radius(r) =5cm

Height(h) =?

Now,

Volume of cylinder (v) =¶r^2h

100 =22/7*5*5*h

100=78.57h

H=100/78.57

H=1.27cm

Height of cylinder is 1.27cm

Answer:

12

Step-by-step explanation:

Answer: 769 bottles ≤ 12x + 205, or 564 bottles ≤ 12x

Step-by-step explanation:

➜ They need at least 769 bottles, so our inequality will use either ≤ or ≥ depending on how we set it up.

➜ They currently have 205 bottles, so we will use addition to show there are some glasses currently owned

➜ If each set contains 12 glasses, we will multiply x, the number of sets bought, by 12

     With these details, we will write an inequality.

769 bottles ≤ 12x + 205

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The scale factor of the dilation transformation of the pre-image triangle ΔDEF to the image ΔD'E'F', with the origin as the center of dilation is 3.

A dilation transformation is one in which the lengths of the sides of the pre-image are scaled up by a common factor to get the lengths of the sides of the image.

The coordinates of the vertices of the triangle ΔDEF are;

D(1, 5), E(1, 2), F(3, 2)

The length of the sides of triangle ΔDEF, making use of the difference between the non equal coordinate points, are;

DE = 5 - 2 = 3

EF = 3 - 1 = 2

The length of the side DF can be found using the formula for the distance between two points on the coordinate plane (a form of the Pythagorean Theorem), which is presented as follows;

DF = √((3 - 1)² + (2 - 5)²) = √(2² + (-3)²) = √(13)

The coordinates of the vertices of triangle ΔD'E'F' are; D'(3, 15), E'(3, 6), F'(9, 6)

Therefore; D'E' = 15 - 6 = 9

E'F' = 9 - 3 = 6

D'F' = √((9 - 3)² + (6 - 15)²) = √(6² + (-9)²) = √(9 × 13) = 3·√(13)

The scale factor, s.f. = The ratio of the corresponding sides of the triangles which is found as follows;

D'E'/DE = 9/3 = 3

E'F'/EF = 6/2 = 3

D'F'/DF = 3·√(13)/√(13) = 3

s.f. = D'E'/DE = E'F'/EF = D'F'/DF = 3

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Answer:

3627

Step-by-step explanation:

assuming it is 13*(-32.48-14.02)*6

Answer:

\(-8.57\)

Step-by-step explanation:

\(-4.5+(-4.07)\\-4.5-4.07\\-8.57\)

Answer:

-8.57

Step-by-step explanation:

Simplify the expression

Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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Answer:

\(10 \sqrt{5} \ x^2y^3\sqrt{y}\)

Step-by-step explanation:

simplify \(2\sqrt{125x^4y^7}\)

Apply radical rule \(\sqrt{ab} =\sqrt{a} \sqrt{b}\):

\(\implies 2\sqrt{125}\sqrt{x^4}\sqrt{y^7}\)

\(\implies 2 \cdot 5 \sqrt{5}\sqrt{x^4}\sqrt{y^7}\)

\(\implies 10 \sqrt{5}\sqrt{x^4}\sqrt{y^7}\)

Apply radical rule \(\sqrt[n]{a^m} =a^{\frac{m}{n}}\):

\(\implies 10 \sqrt{5} \ x^{\frac42}y^{\frac72}\)

\(\implies 10 \sqrt{5} \ x^2y^3\sqrt{y}\)

Answer:

\(7x^{2}\sqrt{5y^{7} }\)

Step-by-step explanation:

First, we'll start by simplifying \(\sqrt{125}\).  2 factors of 125 are 5 and 25, and since 25 is a perfect square, that can be taken out of the radicand and added to the 2 that's already outside of it, creating \(7\sqrt{5x^{4}y^{7}}\).

x to the power of 4 can be simplified to x squared and taken out of the radicand along with that 7, so:

\(7x^{2}\sqrt{5y^{7} }\)

y to the power of 7 is a bit trickier to solve, so I left it like this, because I think it's the simplest version, but if this isn't an option then simplify further by working on the y.  

I hope this helps :)  

The tangent plane approximation at h(4.001,0.997) is 72.026, where h(x, y) = x³ + 2xy.

Plane is h(x, y) = x³ + 2xy.

Substitute the value of x and y in the plane

h(4, 1) = (4)³ + 2(4)(1)

h(4, 1) = 64 + 8

h(4, 1) = 72

Partial Differentiation with respect to x

hₓ = ∂h/∂x

hₓ = 3x² + 2y

at (4, 1)

hₓ = 3(4)² + 2(1)

hₓ = 3(16) + 2

hₓ = 48 + 2

hₓ = 50

Partial Differentiation with respect to x

\(h_{y}\) = ∂h/∂y

\(h_{y}\) = 2x

at (4, 1)

\(h_{y}\) = 2(4)

\(h_{y}\) = 8

tangent plane is

z = h(4, 1) + hₓ(x - x₀) + \(h_{y}\)(y - y₀)

z = 72 + 50(x - 4) + 8(y - 1)

z = 72 + 50x - 200 + 8y - 8

z = 50x + 8y - 136

at (x, y) = (4.001, 0.997)

z = 50(4.001) + 8(0.997) - 136

z = 200.05 + 7.976 - 136

z = 72.026

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Answer:

D 2/3

Step-by-step explanation:

Rise over run. The x values is -3 and 9 which is the distance or run between the dots. Find the distance by finding which number is between then so -3+x=9 where x is 12. The y values are -7 and 1. Find y where -7+y=1 where y is 8. That is the rise. So the rise is 8 and that is over the run, 12, gives you 8/12 which can be simplified to 2/3.

7 is mean Seven is the average of the times shown on the dot plot as the amount of time it takes to get through the obstacle course.

The mean of a dataset, often termed as the arithmetic mean, is the amount of all values divided by the overall number of values (as opposed to the geometric mean). This is the most often used indicator of central tendency and is frequently referred to as the "mean." This is obtained by dividing the number of values in the dataset by the sum of all the values. Calculations can be performed using either raw data or data that has been integrated into frequency tables. A number's average is referred to as its average. Simple math can be used to determine: After simply adding all the digits, divide by the number of digits. the sum divided by the number.

given

three obstacles are overcome by three students.

Total Observations / Sum of Observations = Mean

= 21 / 3

= 7

7 is mean Seven is the average of the times shown on the dot plot as the amount of time it takes to get through the obstacle course.

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The complete question is :- LeveT P × Diane is a camp counselor. She designs a new obstacle course, and tests the course with  friends. The dot plot shows the time it takes them to complete the obstacle course. a What is the mean of the times? Obstacle Course Test mean - mean 7 minutes.

Answer:

16

Step-by-step explanation:

(4/5)*20=16

4 x 20 =80

5 x 1 =5

80/5=16

5/5=1

16/1=16

16 ur answer

a) A function that expresses f(x) is f(x) = 1.5x.

b) A graph of the function is shown in the image below.

c) The domain and range of the function are all real numbers or [-∞, ∞].

Assuming the variable x represent the amount of a transaction and the variable f(x) represent the amount Isabel is charged for the transaction, a linear function charges on each sale by the credit card company can be written as follows;

f(x) = 1.5x

Part b.

In this exercise, we would use an online graphing tool to plot the function f(x) = 1.5x as shown in the graph attached below.

Part c.

By critically observing the graph shown below, we can logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-∞, ∞] or all real numbers.

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Complete Question:

A transaction is positive if there is a sale and negative when there is a return. Each time a customer uses a credit card for a transaction, the credit company charges Isabel. The credit company charges 1.5% of each sale and a fee of 0.5% for returns.

a) Let x represent the amount of a transaction and let f(x) represent the amount Isabel is charged for the transaction. Write a function that expresses f(x).

b) Graph the function.

c) What are the domain and range of the function?

The ratios that are equivalent to 3 parts silver paint to 4 parts green paint are: 6:8 and 9:12.

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Generally speaking, a proportional relationship can be represented by the following mathematical expression:

x = ky

Where:

In this context, the constant of proportionality or ratio of the quantity of silver paint (parts) to green paints (parts) can be calculated as follows:

Constant of proportionality (k) = x/y

Constant of proportionality (k) = 3/4

Now, we can determine the equivalent ratios as follows:

Equivalent ratio = 4/5 ≠ 3/4

Equivalent ratio = 6/8 = 3/4 (divide by 2)

Equivalent ratio = 5/6 ≠ 3/4

Equivalent ratio = 9/12 = 3/4 (divide by 3).

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the answer is 6:8 and 9:12

Step-by-step explanation: hope this helped ;D

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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The new balance will be -27.50.

It should be noted that for each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day.

Since her current balance in the account is –$12.50, the new balance after 2 days will be:

= -12.50 + (-7.50 × 2)

= -12.50 + -15

= -27.50

The balance is -27.50

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To determine which method can be used to prove the similarity of the given triangles, use SAS, SSS, and AA.

To determine which method can be used to prove the similarity of the given triangles, let's briefly discuss each method:

a) SAS~ (Side-Angle-Side Similarity): If two sides of a triangle are proportional to two sides of another triangle, and their included angles are congruent, then the triangles are similar.

b) SSS~ (Side-Side-Side Similarity): If all three sides of a triangle are proportional to the corresponding sides of another triangle, then the triangles are similar.

c) AA~ (Angle-Angle Similarity): If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Unfortunately, I cannot see the given triangles in your question, but based on the provided information, you can use these explanations to determine which method (SAS~, SSS~, or AA~) can be used to prove their similarity. If none of these methods apply, then similarity cannot be proved for the triangles.

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Answer:

32n = 100 - 20

n = 2.5

he purchased 2 sweaters

Step-by-step explanation:

32n = 100 - 20

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n which means that he was able to but 2 sweaters and got $16 back. Therefore the formula would be 32n = 100 - 20

The formula for the number of sweaters will be 32n = 100 – 20.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Favian received a $100 gift card to a clothing store.

Using only the gift card, he was able to purchase n sweaters that cost $32 each and 1 belt for $20.

If there was no tax on the sweaters and belt,

Then the equation will be

32n + 1 x 20 = 100

    32n + 20 = 100

             32n = 80

                 n = 2.5 ≈ 2

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n, which means that he was able to but 2 sweaters and got $16 back.

Therefore, the formula would be 32n = 100 – 20.

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Answer:

The height of cylinder is 20 inches

Answer: x = 75°

Step-by-step explanation:

     The angles in any quadrilateral add up to 360°, so we can write an equation and solve it using this knowledge.

134° + 84° + 67° + x° = 360°

285° + x° = 360°

x = 75°

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation:

Given:

The sum of irrational number in the options.

To find:

The option that shows the sum of two irrational numbers can be irrational.

Solution:

In option A,

\((5+\pi)+(3-\pi)=5+\pi+3-\pi\)

\((5+\pi)+(3-\pi)=5+3\)

\((5+\pi)+(3-\pi)=8\)

We know that 8 is a rational number. So, option A is incorrect.

In option B,

\(\sqrt{3}+\sqrt{5}\)

Here both numbers are irrational and it cannot be simplified further.

So, \(\sqrt{3}+\sqrt{5}\) is an irrational number and option B is correct.

In option C,

\((3+\sqrt{5})+(3-\sqrt{5})=3+\sqrt{5}+3-\sqrt{5}\)

\((3+\sqrt{5})+(3-\sqrt{5})=3+3\)

\((3+\sqrt{5})+(3-\sqrt{5})=6\)

We know that 6 is a rational number. So, option C is incorrect.

In option D,

\((\dfrac{\pi}{3})+(-\dfrac{\pi}{3})=\dfrac{\pi}{3}-\dfrac{\pi}{3}\)

\((\dfrac{\pi}{3})+(-\dfrac{\pi}{3})=0\)

We know that 0 is a rational number. So, option D is incorrect.

Therefore, the correct option is B.

Answer:

-2x-10

Step-by-step explanation:

Distributive Property is basically a term for opening parentheses. So, in your case -2(x+5) we would multiply x and 5 by -2. X times -2 is -2x and 5 times negative 2 is -10. -2x-10 would be your final answer.

\(\huge\bold{ANSWER:}\)

-2x-10

\(\bf{EXPLANATION:\)

Hi there!

Here's what the Distributive Property states:

a(b+c)=ab+ac

So, we take a number outside the parentheses, and "distribute" it.

In this case, we should distribute -2:

-2(x+5)

-2x-10 (a negative times a negative is a positive)

Hope it helps!

Enjoy your day!

Feel free to ask if you have any doubts! :)

\(\mathfrak{SilentNature~a.k.a.Sparkles}\)

Answer:

  6

Step-by-step explanation:

You want to know the number of uphill integers divisible by 15, where an uphill integer is one that has its digits strictly increasing.

An integer will be divisible by 15 if and only if it is divisible by 3 and 5. An integer is divisible by 5 if it ends in 5 or 0. An uphill integer cannot end in 0, so must end in 5.

An integer is divisible by 3 if the sum of its digits is divisible by 3

An uphill integer will have differences between successive digits that are positive integers. In order for the final digit to be 5, the sum of these differences must be 5. Hence we can find uphill integers by considering the "integer partitions" of 5: the sets of positive integers whose total is 5. Those sets would be ...

  {5}, {4, 1}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, {1, 1, 1, 1, 1}

Uphill integers will also have digit differences that are some permutation of each of these sets. For example, the digit differences may be {4, 1} or {1, 4}, corresponding to the numbers 45 or 15.

The uphill integers that end in 5 are ...

  5, 45, 15, 35, 25, 345, 145, 125, 245, 235, 135, 2345, 1345, 1245, 1235, 12345

We already know each of these is divisible by 5. The ones that have a digit total that is a multiple of 3 are ...

  15, 45, 135, 345, 1245, 12345

There are 6 uphill integers divisible by 15.

The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles

Let the total distance traveled into the country be y.

Now, we shall determine the riding time. Details below:

Riding time = Distance / speed

Riding time = y / 10

Next, we shall obtain the walking time of the cyclist. This is shown below:

Walking time = Distance / speed

Riding time = y / 3

Finally, we shall obtain the total distance traveled. This is illustrated below:

Total time = riding time + walking time

6.5 = y/10 + y/3

6.5 = (3y + 10y) / 30

6.5 = 13y / 30

Cross multiply

13y = 6.5 × 30

13y = 195

Divide both sides by 13

y = 195 / 13

y = 15 miles

Thus, the total distance traveled by the cyclist into the country is 15 miles.

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