The diagonals of rectangle QRST intersect at P. Given that
m/PTS= 34° and
QS=10, find mSRT.

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer:

TO HEAR BETTER

Because as quality increases the tone increases

Answer:

first one is your answer option a) hope it helps

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Answer:

D

Step-by-step explanation:

h(x)=12-0.5x

x=hour

Calista's grade on her last assignment is 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

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The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

BC = 16

EF = 23

AD = 30

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

32.3 , 28.8 , 29.1 , 29.5 , 30.8 , 31.0 , 17.5 , 34.5 , 23.5 , 33.0 , 31.7 , 28.6 , 27.4

Reordered data:

17.5, 23.5, 27.4, 28.6, 28.8, 29.1, 29.5, 30.8, 31.0, 31.7, 32.3, 33.0, 34.5

The mean ; m

Mean, m = Σx /n

Σx = 377.7

n = sample size = 13

m = Σx / n = 377.7 / 13 = 29.05

Median = 1/2(n+1)th term

= 1/2(14) = 7th term = 29.5

Range = maximum - minimum

Range = 34.5 - 17.5 = 17

Lower quartile (Q1) = 1/4(n+1)th term

1/4(14)th term = 3.5th term

(3rd + 4th) / 2

= (27.4 + 28.6) / 2

= 28

Upper quartile (Q3) = 3/4(n+1)th term

3/4(14)th term = 10.5th term

(10th + 11th) / 2

= (31.7 + 32.3) / 2

= 32

IQR = Q3 - Q1

IQR = 32 - 28 = 4

Variance : (V) = Σ(x - m)²/n-1

[(32.3-29.05)^2 +(28.8-29.05)^2 + (29.1 - 29.05)^2 + (29.5-29.05)^2 + (30.8-29.05)^2 + (31.0-29.05)^2 + (17.5 - 29.05)^2 + (34.5-29.05) ^2 + (23.5-29.05)^2 + (33.0-29.05)^2 + (31.7-29.05)^2 + (28.6-29.05)^2 + (27.4 - 29.05)^2] / 12

Variance = 19.76

Standard deviation = sqrt(variance)

Standard deviation = sqrt(19.76)

Standard deviation = 4.45

Answer: x = -1

Step-by-step explanation:

simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there

The correct statements regarding the dilation to the triangle are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The resulting image is a larger or smaller version of the original object, depending on whether the scale factor is greater than or less than 1, respectively.

The ratio of the perimeter is equals to the scale factor, while the ratio of the areas is equals to the square of the scale factor.

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In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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Restating the story:

The team has $350 for expenses, and each away game costs $50.

First, we complete the table:

at 0 away games, the remaining money is $350

at 1 away game, the remaining money is $350-50=$300

at 2 away games, the remaining money is $300-50=$250

at 3 away games, the remaining money is $250-50=$200

The table is the following:

Now, the initial value is as we can see 350.

Initial value: 350

And the rate of change is the change from one game to the next.

In this case, from 0 games to 1 game they lose 50.

So the rate of change is:

Which represents that they lose 50 per game.

Rate of change: -50

Finally, we take the points from the table and graph them.

The points in the table are:

(0,350)

(1,300)...

Graphing all of the points from the table to the cartesian plane:

That is just for the points in the table, but we can continue that line until the money is at 0:

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

children formerly truths former formerly upright justification

The value of the statement the quantity 32 minus 16 multiplied by 9 is

- 112.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The given statement is the quantity 32 minus 16 multiplied by 9.

The numerical form of the statement is,

= (32 - 16×9).

First, we'll multiply according to PEMDAS rule.

= (32 - 144).

= - 112.

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The value of the statement the quantity 32 minus 16 multiplied by 9 is

- 112.

We have,

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The given statement is the quantity 32 minus 16 multiplied by 9.

The numerical form of the statement is,

= (32 - 16×9).

First, we'll multiply according to PEMDAS rule.

= (32 - 144).

= - 112.

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Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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The system has infinity solutions

To solve this, the problem ask us to write the system as a linear equation.

TO do this, we need to let a single variable in one side.

Let's do this with y:

For the first equation:

For the second equation:

Now you have to write in the first blank spaces:

y = 3 x + -6

y = 3 x + -6

Now you'll see that both lines are the same, then the system has infinite solutions, all points of one line will be on the other

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

Voltage drop across R3 = Source Voltage - Voltage drop across R1. = 46-34 = 12 V.

Answer/Step-by-step explanation:

1. Given:

m<ABC = 4x°,

m<BCD = 3x°,

m<CDA = 2x°,

m<DAB = 3x°

Sum of quadrilateral = (n - 2)180

Quadrilateral has 4 sides, therefore, n = 4.

Sum of quadrilateral = (4 - 2)180 = 2*180 = 360°

Equation to solve for x would be:

m<ABC + m<BCD + m<CDA + m<DAB = 360

Substituting the given expression for each angle, we have:

4x + 3x + 2x + 3x = 360

12x = 360

Use the above equation to solve for x by dividing both sides by 12

x = 30

Find the measures of all the interior angles by substituting the value of x in each given expression for each angle as follows:

m<ABC = 4x = 4*30 = 120°

m<BCD = 3x = 3*30 = 90°

m<CDA = 2x = 2*30 = 60°

m<DAB = 3x = 3*30 = 90°

[Check: 120 + 90 + 60 + 90 = 360°]

2. <CDA and <ADE form a linear pair. They are supplementary angles.

Since supplementary angles sum up to equal 180°, and <ADE is a supplement of <CDA (60°), therefore:

m<ADE = 180° - 60° = 120°

The solution to whether the given parameter is a binomial random variable is;

B: No. There is not a fixed number of trials.

A binomial random variable is a number of successes in an experiment consisting of N trails.

Some of the conditions for a binomial random variable are;

- Can only have two outcomes(yes/no questions).

- Each trial must be independent, that is, the probability of a success is always the same in a trial, and the number of trials is fixed.

- It's probabilities must be between 0 and 1.

For each person, there are only two possible outcomes. It's either they are screened, or not.

However, we don't want to know the number of people screened, which is binomial, we want to know the number of people until 10 are screened, which is inverse binomial. Thus, due to the fact that there is not a fixed number of trials, this is not binomial, and the answer is given by option B.

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The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.

To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.

Algorithm/Abstract Strategy:

Start with the numerator, which is 3.

Identify the denominator, which is 5.

Interpret the fraction as a ratio or comparison between the numerator and denominator.

Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).

Perform the division: 3 ÷ 5.

Simplify the division to its simplest form, if necessary.

The result of the division, in this case, is the decimal representation of the fraction.

If required, convert the decimal representation to a percentage or any other desired form.

For example, if we perform the division 3 ÷ 5, the result is 0.6.

So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.

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The rate at which the depth of the liquid is increasing when it reaches one-third of the height of the bowl is (7/3)π cm³/s.

To ascertain the rate at which the liquid's depth rises, let's find the derivative of the depth function with respect to time.

Let;

The rate of change of the volume of the liquid with respect to time is constant and equal to 7π cm³/s.

To determine the height of the bowl, we can evaluate the curve y = [-4 / (8 - x)] - 1 when x = 4 and y = 7.6 and then find the absolute difference between the values.

h = |[-4 / (8 - 4)] - 1 - [-4 / (8 - 7.6)] - 1|

Let's calculate the rate at which the depth rises when it reaches one-third of the bowl's height.

D = depth of bowl

Using this relationship from the question given;

D = (1/3) * h

In order to determine the rate at which D will change with respect to time, let's differentiate both sides of the equation.

dD/dt = (1/3) * dh/dt

Since dh/dt is the rate at which the depth of the liquid is changing, which is constant and equal to 7π cm³/s, we can substitute it into the equation:

dD/dt = (1/3) * (7π)

Simplifying, we have:

dD/dt = (7/3)π cm³/s

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The volume of the triangular pyramid, with a base area of 12 and a height of 25, is equal to 100 cubic units.

To calculate the volume of a triangular pyramid, we need the values of the base area and the height. Given that a = 12 and h = 25, we can proceed with the calculation.

The formula for the volume of a triangular pyramid is (1/3) * base area * height. Since we know the base area is equal to a, we can substitute the values into the formula.

Volume = (1/3) * a * h

Plugging in the given values, we have:

Volume = (1/3) * 12 * 25

Simplifying the expression further:

Volume = (1/3) * 300

Volume = 100

Therefore, the volume of the triangular pyramid, with a base area of 12 and a height of 25, is equal to 100 cubic units.

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B) 15 hours, 34 minutes

2:12 + 15 hours = 5:12 A.M

5:12 + 34 minutes = 5:46 A.M

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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