7 1/8 + 6 1/8 equals what? hurry

Answer:

x=83

Step-by-step explanation:

The sum of interior angles in a triangle will always be equal to 180 degrees. Knowing this, we can set up the following equation:

35+62+x=180

97+x=180

Subtract both sides by 97

97+x-97=180-97

x=83

I hope this helps!

Answer:

B, x=83

Step-by-step explanation:

35+62+x=180

97+x=180

x=180-97

x=83

Answer:

x = 1, y = 20

Step-by-step explanation:

The question is asking the length of two wires, so instead of area, we are looking at the perimeter.

For the triangle, the equation looks like this:

(2-x) + 15 + y

For the rectangle, the equation looks like this:

(5-x) + (y-6) × 2

Let's say that x = 2, and y = 12.

The triangles new equation would look like this:

(2-2) + 15 + 12 = 27

The rectangles new equation would look like this:

(5-2) + (12-6) × 2 = 18

The wires are the same length, so these numbers can't be correct.

Let's say that x = 1 and y = 20.

The triangles new equation would look like this:

(2-1) + 15 + 20 = 36

The rectangles new equation would look like this:

(5-1) + (20-6) × 2 = 36

These numbers are the same, so therefore the answer is

x = 1 and y = 20.

Answer:

6/5

Step-by-step explanation:

rise/run

I hope this is right! :D

Answer:

The slope would be 6/5

Answer:

x=2

Step-by-step explanation:

subtract 7 on both sides

9-7=2

x=2

Yes, A right angled triangle with the three lengths 5 cm, 12 cm, 13 cm is possible.

In geometry, the Pythagoras theorem states that if a right triangle has side lengths a, b, and c, with c being the longest side, then a²+b² = c². This theorem tells us that all three numbers a, b, and c that satisfy this equation are called Pythagoras numbers, and that if the three numbers are Pythagoras numbers, they can form the lengths of the sides of a right triangle. We have, provide three lengths of sides of a triangle. Let us consider a triangle ABC with side lengths a = 5cm , b = 12 cm and c = 13 cm . We check the ∆ABC is right angled triangle or not , Using Pythagoras theorem,

(a)² = (5)² = 25 , b² = (12)² = 144 and c²= (13)²

a²+ b² = c²

=> a²+ b² = 25 + 144 = 169 = c²

So, Pythagoras triples is satisfied in this case.

Thus, ∆ABC is right angled triangles.

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The area of the region R bounded by the graph of f(x) = x^2(x-6) and the x-axis on the interval [-1, 7] is approximately 371.00 square units.

To find the area of the region R bounded by the graph of f(x) = x^2(x-6) and the x-axis on the interval [-1, 7], we need to integrate the function f(x) over that interval. The area can be calculated using the definite integral:

Area = ∫[a,b] f(x) dx

In this case, a = -1 and b = 7. Let's calculate the area using integration:

Area = ∫[-1,7] x^2(x-6) dx

To solve this integral, we expand the polynomial and simplify:

Area = ∫[-1,7] (x^3 - 6x^2) dx

Next, we integrate term by term:

Area = (1/4)x^4 - (2/3)x^3 | [-1,7]

Now, we substitute the upper and lower limits of integration:

Area = [(1/4)(7^4) - (2/3)(7^3)] - [(1/4)(-1^4) - (2/3)(-1^3)]

Simplifying further:

Area = (1/4)(2401) - (2/3)(343) - (1/4)(1) + (2/3)(-1)

Area = 600.25 - 228.33 - 0.25 - 0.67

Area ≈ 371.00 (rounded to the nearest hundredth)

Therefore, the area of the region R bounded by the graph of f(x) = x^2(x-6) and the x-axis on the interval [-1, 7] is approximately 371.00 square units.

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The ordered pair that is a reflection over the x-axis for the point shown include the following: A. (6, 4)

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

Next, we would apply a reflection over or across the x-axis to the point;

(x, y)                →      (x, -y)

(6, -4)                →      (6, -(-4)) = (6, 4)

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If a sequence is defined using previous terms, it is known as a recursively defined sequence.

This type of sequence relies on the previous terms to determine the next term in the sequence. The number of terms that are required to define a recursively defined sequence varies depending on the specific sequence. However, if the first few terms of the sequence are given, it can help determine the pattern and the formula used to generate subsequent terms. A good understanding of recursive sequences can be helpful in many areas, including computer programming, mathematics, and finance. A sequence that is defined using its initial terms and a rule relating its subsequent terms to the previous ones is called a recursively defined sequence. In such sequences, each term's value depends on one or more earlier terms. The first few terms serve as the basis, and the recursive formula generates the remaining terms. This approach allows us to find any term in the sequence based on previous ones, ensuring a consistent pattern and progression.

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Answer:

14.3% (1 decimal place)

Step-by-step explanation:

\(15/105=14.28...=14.3%\)

The surface area of a square pyramid, we need to add the area of each of its faces. In this case, we have four triangular faces and one square base. Let's start by finding the area of the square base. So, the surface area of the square pyramid is 384 square inches.

To find the surface area of a square pyramid, we need to add the area of each of its faces. In this case, we have four triangular faces and one square base

The area of a square is given by the formula A = s^2, where s is the length of a side. In this case, the base of the pyramid has a side length of 12 in, so its area is:

A = 12^2

A = 144 sq in

Now let's find the area of each triangular face. The formula for the area of a triangle is A = 1/2bh, where b is the base length and h is the height. Each triangular face has a base length of 12 in and a height of 10 in, so its area is:

A = 1/2(12)(10)

A = 60 sq in

Since there are four triangular faces, the total area of the triangular faces is:

4 × 60 = 240 sq in

Finally, we can add the area of the base and the area of the triangular faces to get the total surface area of the pyramid:

144 + 240 = 384 sq in

1. Identify the given measurements:

 Base length (b) = 12 in

 Triangular face base length (tf_b) = 12 in

 Triangular face height (tf_h) = 10 in

2. Calculate the surface area of the square base:

 Base area (A_base) = b^2 = (12 in)^2 = 144 sq in

3. Calculate the area of one triangular face:

 Triangular face area (A_tf) = 0.5 * tf_b * tf_h = 0.5 * (12 in) * (10 in) = 60 sq in

4. Since there are four triangular faces, find the total area of all triangular faces:

 Total triangular face area (A_tfs) = 4 * A_tf = 4 * (60 sq in) = 240 sq in

5. Finally, add the base area and the total triangular face area to find the surface area of the pyramid:

 Surface area (SA) = A_base + A_tfs = (144 sq in) + (240 sq in) = 384 sq in

So, the surface area of the square pyramid is 384 square inches.

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Answer:

Step-by-step explanation:

( − 1 )  ( + 1 )

The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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Answer:

so legendary is twice epic

epic is twice rare

rare is 2.5 uncommon

uncommon twice common

For the given data, the cutoff point using the upper fence is 791.25 minutes.

To find the cutoff point using the upper fence, we need to first calculate the lower and upper fences.

The lower fence is given by the formula:

Lower fence = Q1 - 1.5 x IQR

where Q1 is the first quartile and IQR is the interquartile range.

The upper fence is given by the formula:

Upper fence = Q3 + 1.5 x IQR

where Q3 is the third quartile and IQR is the interquartile range.

To find these values, we first need to order the data:

307 311 322 321 354 363 377 406 410 425

435 461 464 474 499 505 513 534 548

The first quartile (Q1) is the median of the lower half of the data:

Q1 = (354 + 363) / 2 = 358.5

The third quartile (Q3) is the median of the upper half of the data:

Q3 = (513 + 534) / 2 = 523.5

The interquartile range (IQR) is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 523.5 - 358.5 = 165

Now we can calculate the lower and upper fences:

Lower fence = Q1 - 1.5 x IQR = 358.5 - 1.5 x 165 = 91

Upper fence = Q3 + 1.5 x IQR = 523.5 + 1.5 x 165 = 791.25

Therefore, the cutoff point using the upper fence is 791.25 minutes. Any customer who uses more than 791.25 minutes in a month should be contacted by the phone company as part of the fraud prevention program.

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Complete question :

Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3

Answer: 3 + (−9) = −6, because −6 is 9 units to the left of 3

Step-by-step explanation:

Given the following :

Width of number line = - 10 to + 10

Point K on the number line = +3 ( kelvin's score after the first round of quiz).

If Kelvin losses 9 points in round 2  = - 9

Hence at the end of round 2, He'll have a total of :

Point at the end of round 1 + point lost in round 2

3 + (-9) = - 6

Answer: Is there any answer choices?

Step-by-step explanation:

State 0, Slow service rate: $1.50; State 0, Fast service rate: $4.50; State 1, Slow service rate: $10.50; State 1, Fast service rate: $19.20; State 2, Slow service rate: $0; State 2, Fast service rate: $0.

a. The states in this Markov decision process are defined by the number of people in the facility, which can be 0, 1, or 2. The decisions are choosing between the slow service rate ($3 cost) and the fast service rate ($9 cost).

b. Let's consider each combination of state and decision and calculate the expected net immediate cost incurred during that period:

1. State 0 (no customers in the facility):

  - Decision: Slow service rate ($3 cost)

  - Probability of customer arrival: 1/2

  - Expected net immediate cost: (1/2) * ($3) = $1.50

- Decision: Fast service rate ($9 cost)

  - Probability of customer arrival: 1/2

  - Expected net immediate cost: (1/2) * ($9) = $4.50

2. State 1 (one customer in the facility):

  - Decision: Slow service rate ($3 cost)

  - Probability of customer arrival: 1/2

  - Probability of customer being served and leaving: 3/5

  - Probability of customer being served and staying: 2/5 (customer becomes the one being served)

  - Expected net immediate cost: (1/2) * (3/5) * ($50 - $3) + (1/2) * (2/5) * ($0) = $10.50

 - Decision: Fast service rate ($9 cost)

  - Probability of customer arrival: 1/2

  - Probability of customer being served and leaving: 4/5

  - Probability of customer being served and staying: 1/5 (customer becomes the one being served)

  - Expected net immediate cost: (1/2) * (4/5) * ($50 - $9) + (1/2) * (1/5) * ($0) = $19.20

3. State 2 (two customers in the facility):

  - Decision: Slow service rate ($3 cost)

  - Probability of customer arrival: 0 (no new customers can enter)

  - Expected net immediate cost: $0

- Decision: Fast service rate ($9 cost)

  - Probability of customer arrival: 0 (no new customers can enter)

  - Expected net immediate cost: $0

Therefore, the expected net immediate cost incurred during each period for each combination of state and decision is as follows:

State 0, Slow service rate: $1.50

State 0, Fast service rate: $4.50

State 1, Slow service rate: $10.50

State 1, Fast service rate: $19.20

State 2, Slow service rate: $0

State 2, Fast service rate: $0

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Answer:

Step-by-step explanation:

-2x+8

Answer:

0.25%

Step-by-step explanation:

Answer:

0.25%

Step-by-step explanation: you`re welcome :)

The sample variance formula is: (sum of squared differences between each data point and the sample mean) divided by (sample size minus one).

The sample variance formula is a statistical calculation used to measure the variability of a set of data values in a sample. Variance is a measure of how spread out a set of data is, and it provides a measure of the average deviation of the individual data points from the sample mean.

The sample variance formula is calculated by taking the sum of the squared differences between each data point and the sample mean, and dividing that value by the sample size minus one. The resulting value provides a measure of how much the data points vary from the mean of the sample, and is an important tool for assessing the reliability and validity of statistical results.

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Answer:

\(19\%\)

Percentages are evaluated values that say how much of a whole is occupied by that value. For example, if we were to say 75% of a strawberry pie remained, we could also see this as 3/4, or three-fourths.

To solve this particular problem, we will need to divide two values and convert a decimal to a percentage.

First, set up the fraction of economics majors that are freshman students to the total number of freshman students.

\(\displaystyle \frac{1634}{8600}\)

Then, divide the two using a calculator or long division.

\(\displaystyle \frac{19}{100}\)

Finally, to convert this to a decimal, use a calculator.

\(0.19\)

To convert a decimal to a percentage, multiply the decimal by 100.

\(0.19 \times 100 = 19\%\)

The final answer is \(19\%\).

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Answer:

19%

Key Points:

In order to find the percentage of freshman majoring in economics, we must divide the econ major students by the overall size of the freshman class.

\(\frac{1634}{8600}\)

Our next step is to grab a calculator and input 1634 ÷ 8600. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.19

Now, you need to multiply it by 100 so that you can create a percentage.

0.19 × 100 = 19%

Therefore, 19% of the freshman class are economics majors.

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Answer:

7:45

Step-by-step explanation:

2 hours and 15 minutes can also be written as

2:15

if the movie takes 2:15 long and begins at 5:30, add both which is. 5:30+2:15

=7:45

therefore the movie ended at 7 hours and 30 minutes which can also be written as7:45

Answer:

if the X is a multiplication then 1.8 would be the answer

Step-by-step explanation:

Answer:

The car moved at a constant velocity of 0.5 m/s for the entire 7 seconds

Step-by-step explanation:

just did it

the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis

To determine if there is evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans, we can perform a hypothesis test. Let p1 be the proportion of Democrats who believe in the conspiracy theory, and p2 be the proportion of Republicans who believe in the conspiracy theory.

Let's set up the hypotheses:

Null hypothesis (H0): p1 - p2 = 0 (There is no difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

Alternative hypothesis (Ha): p1 - p2 ≠ 0 (There is a difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

We will use a two-sample proportion test to test these hypotheses. The test statistic for this test is given by:

\(\[ Z = \frac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})(\frac{1}{n_1}+\frac{1}{n_2})}} \]\)

where:

- \(\( \hat{p}_1 \)\) and \(\( \hat{p}_2 \)\) are the sample proportions of Democrats and Republicans who believe in the conspiracy theory, respectively.

- n₁ and n₂ are the sample sizes of Democrats and Republicans, respectively.

- \(\( \hat{p} \)\) is the overall proportion of belief in the conspiracy theory, calculated as the total number of believers divided by the total sample size.

The p-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true.

Given the sample data:

Democrats: n₁ = 788 and \(\( \hat{p}_1 = \frac{137}{788} \)\)

Republicans: n₂ = 866 and \(\( \hat{p}_2 = \frac{105}{866} \)\)

Let's calculate the test statistic and the p-value:

Step 1: Calculate \(\( \hat{p} \)\):

Total number of believers = 137 + 105 = 242

Total sample size = 788 + 866 = 1654

\(\( \hat{p} = \frac{242}{1654} \)\)

Step 2: Calculate the test statistic (Z):

\(\[ Z = \frac{\frac{137}{788} - \frac{105}{866}}{\sqrt{\frac{242}{1654} \cdot \left(1 - \frac{242}{1654}\right) \cdot \left(\frac{1}{788} + \frac{1}{866}\right)}} \]\)

≈ -1.258

Step 3: Calculate the p-value using the standard normal distribution table for a two-tailed test.

To calculate the p-value, we need to find the probability that a standard normal distribution is less than or greater than the absolute value of the test statistic. Since the alternative hypothesis is two-sided (p1 ≠ p2), we will calculate the p-value as twice the probability of the test statistic being greater than the absolute value of the calculated z-value.

Using a standard normal distribution table or a statistical software, we find that the p-value is approximately 0.208.

Conclusion:

Since the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis. There is insufficient evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans.

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To find the critical numbers of the function provided , we need to determine the values of x at which the derivative of g(x) equals zero or does not exist.

First, let's find the derivative of g(x). Applying the product rule and chain rule, we have:

\(g'(x) = 8e^{(8x)cosh(10x) + e^(8x)(10sinh(10x))}\\ = e^{(8x)(8cosh(10x) + 10sinh(10x))\)

Now, to find the critical numbers, we set g'(x) equal to zero and solve for x:

\(e^{(8x)(8cosh(10x) + 10sinh(10x)) = 0\)

8cosh(10x) + 10sinh(10x) = 0

\(8((e^{(10x) + e^(-10x))/2) + 10((e^(10x) - e^(-10x))/2) = 0\)

on simplifying and combining like terms , will get:

\(9e^{(10x) }+ e^{(-10x) = 0\)

Dividing both sides by \(e^{(-10x)\), we obtain:

\(9e^{(20x)\) = -1

Taking the natural logarithm of both sides, we have:

ln(9) + 20x = ln(-1)

However, ln(-1) is undefined since the natural logarithm is only defined for positive values. Therefore, there are no critical numbers for the function g(x) = \(e^{8x)}cosh(10x).\)

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The equation representing this function is y = tan(x)

The equation which represents a tangent function with a domain of all real numbers such that x is not equal to pi over 4 plus pi over 2 times n comma where n is an integer is:y = tan(x)The tangent function is one of the six trigonometric functions, which is abbreviated as tan. The inverse of the cotangent function is the tangent function. It is also referred to as the inverse tangent, arctan, or tan^-1.

It is defined by the ratio of the opposite side to the adjacent side of a right triangle. The tangent function is a periodic function with a period of π radians or 180°. Its value alternates between negative and positive infinity over each period.The tangent function is not defined at odd multiples of π/2, that is, (2n+1)π/2 for all integers n. This is because the denominator in the tangent function becomes zero, causing a vertical asymptote.
For example, the values of the tangent function for π/2, 3π/2, 5π/2, etc. are undefined. Therefore, the domain of the tangent function is all real numbers except for odd multiples of π/2. The notation for the domain is (-∞, -π/2) U (-π/2, π/2) U (π/2, 3π/2) U (3π/2, ∞).However, in this case, the domain is all real numbers except π/4 + nπ/2, where n is any integer.

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