Based on the information marked in the diagram, triangle PQR and triangle STU must be congruent

A. True

B. False

Answer:

Step-by-step explanation:

1. T

2. F

3. F

4. T

5. F

6. T

Answer: x ≤ -2

Option C is correct

Answer:

x ≤ -2 then it is C) -2

Step-by-step explanation:

7 ≤ −2x + 3

2x+7 ≤ + 3

2x ≤ 3-7

2x ≤ -4

x ≤ -4/2

x ≤ -2

Answer:

i somehow got 45 but i could be wrong

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

The quadrilateral sum is 360 degrees so if you add up the known degrees you get 325 degrees. Then you would simply subtract 325 from 360 and get 35.

The product of the algebraic expression as the product of (2p + q) and (-3q - 6p + 1) is; - 12p² - 12pq + 2p - 3q²+ q

We want to find the product of (2p + q) and (-3q - 6p + 1) and this gives;

(2p + q) * (-3q - 6p + 1)

Now, this can be broken down further using distributive property of algebra into;

2p(-3q - 6p + 1) + q(-3q - 6p + 1)

= -6pq - 12p² + 2p - 3q² - 6pq + q

= - 12p² - 3q² - 12pq + 2p + q

Rearranging gives us;

- 12p² - 12pq + 2p - 3q²+ q

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(a) The probability that all 4 of your answers are incorrect is 0.4823.

The probability of getting one question wrong is 5/6, so the probability of getting all four questions incorrect is (5/6)^4 = 0.4823 (rounded to four decimals).

(b) The probability that all 4 of your answers are correct is 0.0008.

The probability of getting one question correct is 1/6, so the probability of getting all four questions correct is (1/6)^4 = 0.0008 (rounded to four decimals).

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Answer:

$80.75 dollars

Step-by-step explanation:

Given the following question:
Initial price = $95
15% discount

In order to find the answer, we have to find 15% of 95.

\(\frac{15\times95}{100} =15\times95=1425\div100=14.25\)
\(95-14.25=80.75\)
\(g=80.75\)

The guitar (after a 15% discount) costs "$80.75 dollars."

Hope this helps.

Hi! I believe your answer is 0.26. (0.78 ÷ 3 = 0.26). I hope this helps you! Good luck and have a great day/night. ❤️✨

Answer: 0.26

Step-by-step explanation:

Answer:

x = 3; y = -4

Step-by-step explanation:

2(10x - 6y = 54) = ( 20x - 12y = 108)

4(-4x + 3y = -24) = ( -16x + 12y = -96)

                                   4x = 12

                                     x = 3

-4(3) + 3y = -24

-12 + 3y = -24

+12           +12

3y = -12

y = -4

The diameter of Mars is approximately 6,800,000,000 millimeters (mm).

To convert the diameter of Mars from kilometers (km) to millimeters (mm), we need to multiply the given value by 1,000,000 (since there are 1,000,000 millimeters in a kilometer). Therefore, the diameter of Mars can be calculated as 6,800 km * 1,000,000 mm/km = 6,800,000,000 mm.

Mars, often referred to as the "Red Planet," has a diameter of about 6,800 kilometers. When converting this value to millimeters, we consider that each kilometer contains 1,000 meters and each meter contains 1,000 millimeters. By multiplying the diameter in kilometers by 1,000,000, we obtain the diameter in millimeters. Hence, the diameter of Mars is approximately 6,800,000,000 millimeters. This astronomical measurement showcases the substantial size of Mars and helps provide a better understanding of its physical characteristics.

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A researcher records the following scores for attention during a video game task for two samples. Sample B has the largest standard deviation.

To determine which sample has the largest standard deviation, we need to calculate the standard deviation for both Sample A and Sample B.

Step 1: Calculate the mean (average) of each sample
Sample A: (10+12+14+16+18)/5 = 70/5 = 14
Sample B: (20+24+28+32+36)/5 = 140/5 = 28

Step 2: Calculate the squared differences from the mean in score
Sample A: (4²+2²+0²+2²+4²) = (16+4+0+4+16)
Sample B: (8²+4²+0²+4²+8²) = (64+16+0+16+64)

Step 3: Calculate the average of the squared differences
Sample A: (16+4+0+4+16)/5 = 40/5 = 8
Sample B: (64+16+0+16+64)/5 = 160/5 = 32

Step 4: Take the square root of the average squared differences to find the standard deviation
Sample A: √8 ≈ 2.83
Sample B: √32 ≈ 5.66

Based on the calculated standard deviations, Sample B has the largest standard deviation. So, the answer is Sample B.

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Answer:

Transversal

Step-by-step explanation:

Step-by-step explanation:

x = 2*(-2)+4-2*2

x = -4 +4 -4

x = -4

To determine the attendance at Treeton Middle School on Wednesday, we need to calculate the change in attendance from Monday to Tuesday and then apply the change from Tuesday to Wednesday.

By applying the percentage changes to the attendance on Monday, we can find the attendance on Wednesday.

The attendance at Treeton Middle School on Monday was 2,465.

To calculate the change in attendance on Tuesday, we need to find 14.5% of the attendance on Monday and subtract it from the Monday attendance:

Change on Tuesday = 14.5% of 2,465 = 0.145 * 2,465 = 358.925 ≈ 359 (rounded to the nearest whole number).

Attendance on Tuesday = 2,465 - 359 = 2,106.

Next, to calculate the change in attendance on Wednesday, we need to find 18.2% of the attendance on Tuesday and add it to the Tuesday attendance:

Change on Wednesday = 18.2% of 2,106 = 0.182 * 2,106 = 383.892 ≈ 384 (rounded to the nearest whole number).

Attendance on Wednesday = 2,106 + 384 = 2,490.

Therefore, the attendance at Treeton Middle School on Wednesday was 2,490.

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The sample size if you want to construct a 99% confidence interval estimating the proportion of college students who take a statistics course, with a margin of error of at most 0.028 is 1097 students.

To calculate the necessary sample size, use the formula:

n = (z² * p * (1-p)) / E²

Where: n = sample size, p = estimated proportion of college students who take a statistics course, E = margin of error, z = z-score for the desired confidence interval.

Using a 99% confidence level, the corresponding z-score is 2.576.

Using a margin of error of at most 0.028, E = 0.028.

We do not have an estimate for the proportion of college students who take a statistics course, so we can use 0.5 as a conservative estimate, as this value maximizes the sample size. Thus, p = 0.5.

Plugging in these values, we get:

n = (2.576² * 0.5 * (1-0.5)) / 0.028²

n ≈ 1096.29

Therefore, the necessary sample size is 1097 students.

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The length of the side x is derived to be √2/2 using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

The right triangle is also an Isosceles having same base angles so;

x² + x² = 1²

2x² = 1

x² = 1/2

x = √(1/2) {take square root of both sides}

x = 1/√2

x = √2/2 {rationalize}

Therefore, the length of the side x is derived to be √2/2 using the Pythagoras rule.

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The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Answer:

m<1=72

m<2=72

m<4=72

Step-by-step explanation:

To determine the values of \(\(p\)\) for which the series \(\(\sum_{n=1}^{\infty} \frac{9(1+n^{10})^p}{n}\)\) converges, we can use the p-series test.

The p-series test states that for a series of the form \(\(\sum_{n=1}^{\infty} \frac{1}{n^p}\), if \(p > 1\),\) then the series converges, and if \(\(p \leq 1\),\) then the series diverges.

In our case, we have a series of the form \(\(\sum_{n=1}^{\infty} \frac{9(1+n^{10})^p}{n}\).\)

To apply the p-series test, we need to determine the exponent of \(\(n\)\) in the denominator. In this case, the exponent is 1.

Therefore, for the given series to converge, we must have \(\(p > 1\).\) In other words, the values of \(\(p\)\) for which the series is convergent are \(\(p > 1\) or \(p \geq 1\).\)

To summarize:

- If \(\(p > 1\)\), the series converges.

- If \(\(p \leq 1\)\), the series diverges.

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Answer:

The vertical line test can be used to determine whether a graph represents a function.

If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

The address of A[3][7] is found as 1296 (decimal) using the base address of A[0][0].

To find the address of A[3][7], we need to calculate the offset in memory from the address of A[0][0].

First, we need to determine the size of each element in the array.

In this case, struct { int n; char c; } has a size of 8 bytes (4 bytes for int and 1 byte for char).

Next, we calculate the offset for the rows. Since each row has 10 elements, the offset for 3 rows is

3 * 10 * 8 = 240 bytes.

Finally, we calculate the offset for the columns. Since there are 7 columns, the offset for 7 columns is

7 * 8 = 56 bytes.

Adding the row and column offsets to the base address of A[0][0], we get the address of A[3][7] as

1000 + 240 + 56 = 1296 (decimal).

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Answer: $21000

Step-by-step explanation:

First, we calculate the contribution margin which will be:

=Sales - Variable cost

= $50,000 - $20,000

= $30,000

Therefore, the contribution margin per unit will then be:

= $30,000 / 12500

= $2.4 per unit

The operating income will be the difference between the total contribution margin and the fixed cost. This will be:

The total Contribution margin will be:

= $2.4 × 15000

= $36000

Fixed costs = $15000

Operating income = $36000 - $15000

= $21,000

Using the normal distribution, the probability that x is less than 110 is:

A. 0.975.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given as follows:

\(\mu = 98, \sigma = 6\)

The probability is the p-value of Z when X = 110, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{110 - 98}{6}\)

Z = 2

Z = 2 has a p-value of 0.975.

Hence option A is correct.

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Answer:

For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

Answer:

y= -3x + 7:)

Step-by-step explanation:

Hope this helps!

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (4, - 5) into the partial equation

- 5 = - 12 + c ⇒ c = - 5 + 12 = 7

y = - 3x + 7 ← equation of line

Answer:

n = 8

Step-by-step explanation:

13n-6 = 98

Solution:

Hence the value of n is 8.

13n - 6 = 98

13n = 98 + 6

13n = 104

n = 104/13

n = 8

Step-by-step explanation:

that's the answer bbbbbbbb