8m +7=8m+5
PLEAE HELP ASAP

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Answer:

(8, - 1 )

Step-by-step explanation:

x - 2y = 10 → (1)

x + 3y = 5 → (2)

subtract (2) from (1) term by term to eliminate x

(x - x) + (- 2y - 3y) = 10 - 5

0 + (- 5y) = 5

- 5y = 5 ( divide both sides by - 5 )

y = - 1

substitute y = - 1 into either of the 2 equations and solve for x

substituting into (2)

x + 3(- 1) = 5

x - 3 = 5 ( add 3 to both sides )

x = 8

solution is (8, - 1 )

Answer:

x = 8, y = -1.

Step-by-step explanation:

x - 2y = 10

x + 3y = 5      Subtracting this equation from the first one:

0 - 5y = 5

y = -1

Plug y = -1 in the second equation:

x + 3(-1) = 5

x - 3 = 5

x = 5 + 3

x = 8.

After solving, the observed statistic for this study is 2.5.

In the given question, a professor collected data.

After fishing a test, the 27 students in the class wrote their pedicted scores on their tests and these were compared with the actual scores after they were graded.

The mean predicted score was 83.7. So SD = 83.7.

The mean actual score was 81.2. So SD = 15.6

the aen of the difference was 2.5. So SD = 8.6

Null: The average difference in test score (predicted-actual) is 0. μ = 0

Alternative: The average difference in test score (predicted-actual) is greater than 0. μ > 0

We have to find the observed statistic for this study.

predict mean = 83.7   S.D = 8.6

actual mean = 81.2    S.D = 15.6

n = 27

x = (predict mean - actual mean )

x = 83.7 - 81.2

x = 2.5

Hence, the observed statistic for this study is 2.5.

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The right question is given below:

The postfix expression "3 8 7 7 + - 9 3 +" to an equivalent infix expression and show the evolution of the stack.

Postfix expression: 3 8 7 7 + - 9 3 +

1. Push the first two operands (3 and 8) onto the stack:

Stack: [3, 8]

2. Next, push operands 7 and 7 onto the stack:

Stack: [3, 8, 7, 7]

3. Now, encounter the first operator '+'. Pop the top two operands (7 and 7), perform the addition, and push the result (14) back onto the stack:

Stack: [3, 8, 14]

Infix: (7+7)

4. Next, encounter the operator '-'. Pop the top two operands (14 and 8), perform the subtraction, and push the result (-6) back onto the stack:

Stack: [3, -6]

Infix: (8-(7+7))

5. Push operand 9 onto the stack:

Stack: [3, -6, 9]

6. Push operand 3 onto the stack:

Stack: [3, -6, 9, 3]

7. Encounter the operator '+'. Pop the top two operands (3 and 9), perform the addition, and push the result (12) back onto the stack:

Stack: [3, -6, 12]

Infix: (9+3)

8. Finally, encounter the last operator '-'. Pop the top two operands (12 and -6), perform the subtraction, and push the result (18) back onto the stack:

Stack: [3, 18]

Infix: ((8-(7+7))-(9+3))

The equivalent infix expression is: 3 - ((8 - (7 + 7)) - (9 + 3))

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Given:

The statement is

\((1+i)^2=2i\)

To prove:

The given statement \((1+i)^2=2i\).

Solution:

We have,

\((1+i)^2=2i\)

Taking LHS, we get

\(LHS=(1+i)^2\)

\(LHS=(1)^2+2(1)(i)+(i)^2\)         \([\because (a+b)^2=a^2+2ab+b^2]\)

\(LHS=1+2i+(-1)\)         \([\because i^2=-1]\)

On further simplification, we get

\(LHS=1+2i-1\)

\(LHS=2i\)

\(LHS=RHS\)

Hence proved.

The jet airplane covers a distance of approximately 148.62 km in 14.0 minutes, given that it reached a speed of 637 km/h during the flight.

To find the distance covered by the jet airplane in 14.0 minutes, we need to use the formula:

distance = speed x time

First, we need to convert the speed from kilometers per hour to meters per minute, since time is given in minutes:

637 km/h = 637,000 m/h

1 hour = 60 minutes, so:

637,000 m/h ÷ 60 min/h = 10,616.67 m/min

Therefore, the speed of the airplane in meters per minute is approximately 10,616.67 m/min.

Now we can use the formula:

distance = speed x time

where time is given as 14.0 minutes:

distance = 10,616.67 m/min x 14.0 min

distance = 148,616.67 meters

To convert the distance to kilometers, we can divide by 1000:

distance = 148,616.67 m ÷ 1000 = 148.62 km

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Complete question is:

A jet airplane reaches 637. km/h on a certain flight. What distance does it cover in 14.0 min?

Answer:

C

Step-by-step explanation:

The y-coordinate is the average of 7 and -1 which is 3. This eliminates options A and D. Option B doesn't make sense since 5 is greater than 3, so that leaves us with option C.

Answer:

C.

Step-by-step explanation:

The midpoint is (3+2)/2 , (7 + -1) / 2)

= (5/2, 6/2)

= (5/2, 3)

Answer:

The answer is x = -5.

Step-by-step explanation:

1) Subtract 2x from both sides.

\(4x + 9 - 2x = - 1\)

2) Simplify 4x + 9 - 2x to 2x + 9.

\(2x + 9 = - 1\)

3) Subtract 9 from both sides.

\(2x = - 1 - 9\)

4) Simplify - 1 - 9 to -10.

\(2x = - 10\)

5) Divide both sides by 2.

\(x = - \frac{10}{2} \)

6) Simplify 10/2 to 5.

\(x = - 5\)

Therefor, the answer is x = -5.

Therefore, the angle of rotation at which point A' coincides with point D is 144°.

Pentagons are polygons since they have five sides and five angles. The name "Pentagon" is made up of two other words, Penta and Gonia, both of which signify five angles. A pentagon's sides come together end to end to form the shape. In light of this, a pentagon has five sides.

To find the angle of rotation at which point A' coincides with point D, we need to determine the angle measure of each vertex of the regular pentagon.

In a regular pentagon, each interior angle measures (5-2)*180/5 = 108°. Therefore, the exterior angle at each vertex of the pentagon measures 180 - 108 = 72°.

To rotate the pentagon counterclockwise so that point A' coincides with point D, we need to rotate the pentagon by 2/5 of a full rotation, or 144°.

Therefore, the angle of rotation at which point A' coincides with point D is 144°.

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One acre is equal to 43,560 square feet. To convert acres to square feet, you can multiply the number of acres by 43,560.

For example, if you want to convert 6 acres to square feet, you can multiply 6 by 43,560:

6 acres x 43,560 square feet/acre = 261,360square feet

So, 6 acres is equal to 261,360square feet.

Acres and feet are area and length measurement units, respectively. There is no direct conversion between acres and feet because they measure different things. However, you can convert acres to square feet using a conversion factor.

Please keep in mind that this conversion only applies to area measurements. If you need to convert linear measurements from acres to feet, you'll need more information about the area's shape and dimensions.

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Answer: C: A=18

Step-by-step explanation: If your are adding 5 every time the x value goes up by one, then you would add 5 to13, henceforth getting 18.

The value of a that completes the table is 18

The rate of change of a function is expressed in term of the slope.

In order to determine the value of a, we will use the expression below;

Slope = a - 13/4-3 = 23-13/5-3
a-13 = 10/2

a - 13 = 5

Add 13 to both sides

a =5 + 13

a = 18

Hence the value of a that completes the table is 18

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Given:

3(4y + 4z - 9)​

Using distributive to write an equivalent expression,we have:

3*4y + 3*4z - 3*9

= 12y + 12z - 27

The equivalent expression is:

12y + 12z - 27

Answer:

y = 2x

Step-by-step explanation:

I am basing this off of your straight line that you drew.

Slope is found by using \(\frac{rise}{run}\) . This means that you change in your y-axis divided by change in your x axis.

This can also be modeled by Δy/Δx

I used point (0,0) and the peak of the slope (100,200)

Your line starts at 0 and rises 200 and runs to the right 100.

Thus, you can write:

y = \(\frac{200}{100}\) x

This simplifies to y = 2x

If the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

As we know that,

Statustical significance refers to claim that a result from data generated by testing or experimentation is likely to be attributable to specific cause.

Sample size is the total number of individuals or items that comprise a sample.

And, the variance is a descriptive statistic, which falls under the category of a measure of spread.

The circumstance in which a very small treatment effect can be found to be significant is best described by option A: If the sample size big and the sample variance is small.

A large sample size will increase the probability that the results of a statistical test will yield significant results. This is why most statistical tests are accompanied by a measure of effect size. A statistically significant result associated with a very large sample size, will likely have a small effect size, an undesirable result for a researcher, as it implies one of the only reasons significant results were obtained was due to the large sample, not necessary the magnitude of the experimental effect.

Likewise, if variance is small, this will also increase the probability that the results of a statistical test will yield significant results. Variance is simply another word in statistics for the error. A decrease in error will lead to an increased probability of obtaining significant results, hence the idea that a small amount of variance will lead to an increased probability of significant results.

Hence, if the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

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Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

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Scientific notation is a way of writing really big or really small numbers that take a lot of work to write out fully. Scientific notation is used because it's tiring to write out the numbers, which are usually very long. It's a way to shorten them while still knowing what the original number is.

A parabola equation calculator is an online tool used to find the equation of a parabola based on its vertex and focus points, or other given parameters.

A parabola equation calculator is a type of math calculator used to find the equation of a parabola based on certain given parameters. These parameters could include the vertex and focus points, the directrix, or the x- or y-intercepts. By inputting these parameters into the calculator, users can obtain the equation of the parabola, which is a quadratic function in the standard form y = ax² + bx + c.

Parabolas are widely used in physics and engineering applications, such as the trajectory of a projectile, the shape of a satellite dish, or the design of a parabolic solar collector.

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

\(X=24.1decibels\)

Step-by-step explanation:

From the question we are told that:

Loudness function \(L= 10 log_{10} R\)

Sound of a person \(S_p=80\ decibels\ or 10^8\)

Number of persons talking \(n=20 people\)

Generally the Relative intensity for 20 people is mathematically given by

Relative intensity for\(R_{20}=\)\(20*10^8\)

Relative intensity for\(R_{20}=\)\(20^8\)

Generally the loudness for 20 people is mathematically given by

\(L_{20}= 10 log_{10} R\)

\(L_{20}= 10 log_{10} 20^8\)

\(L_{20}= 10 (8 log_{10} 20)\)

\(L_{20}= 104.1 decibels\)

Therefore increase in loudness X is given as

\(X=104.1-80=-52.90\)

\(X=24.1decibels\)

Answer:

wait lang yong tppp heheehhehe

Answer:

b is the awancer yw

Step-by-step explanation:

Answer:

Line ____        Ear

Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

Answer:

4.243

Step-by-step explanation:

To calculate the diagonal of a square, multiply the length of the side by the square root of 2:

d = a√2

d = 3√2=4.24264068

Answer:

Step-by-step explanation:

do you know the answer?

Answer:

x=3

HI=18

Step-by-step explanation:

Equations

Suppose a segment with endpoints G, I. Somewhere in between lies point H, in such a way that:

GI = GH + HI

Every segment is given as an expression with variable x:

\(HI=6x\)

\(GH=x^2+5x\)

\(GI=7x+21\)

Substituting:

\(7x+21=x^2+5x+6x\)

Moving everything to the right side:

\(0=x^2+5x+6x-7x-21\)

Swapping sides and simplifying:

\(x^2+4x-21=0\)

Factoring:

\((x+7)(x-3)=0\)

Solving, we have two possible solutions:

x=-7, x=3

The negative solution is discarded because it would result in negative lengths. Thus the solution is

x=3

Determine the length of HI:

HI=6x=6*3=18

HI=18