Help please.
Angle SPR and angle RPQ are complementary. Find the measure of angle RPQ.

Answer:

21.9

Step-by-step explanation:

The altitude of an isosceles triangle bisects the base. So, x represents the hypotenuse of a right triangle with legs of 9 and 20. It can be found using the Pythagorean theorem:

x^2 = 9^2 +20^2 = 81 +400

x = √481 ≈ 21.932

Answer:

-13.5

Step-by-step explanation:

-6.52-6.98=-13.5

Answer:

perdon me sale tu pregunta en ingles y no entiendo

Step-by-step explanation:

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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The rate of change picking the apples is 8 bushels of apples per hour.

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, the formula for rate of change is: R = (D2 - D1)/T. where: R = rate of change.

Given that, you and your best friend are picking apples at a local orchard. there were already 12 bushels of apples on the tractor when you began at 8:00 am and you picked apples until noon, we are asked to find, what was your rate of change if there were 44 bushels filling the tractor when you stopped,

So, the rate change = total apples picked in 8 am to noon / number of hours.

Therefore, the total apples picked in 8 am to noon =

Since, it was 44 bushels at the end and when they started there were already 12 bushels, so the number of bushels of apples filled between given hours = 44 - 12 = 32 bushels.

The number of hours in picking 32 bushels of apples = 12 noon - 8 am

= 4 hours

Therefore,

The rate of change = 32 / 4

= 8

Hence, the rate of change picking the apples is 8 bushels of apples per hour.

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Answer:

1/6 for white and 1/2 for black

Step-by-step explanation:

My knowledge!

Hope it helps!

Answer:

4/15

Step-by-step explanation:

There are 6 white+4black = 10 marbles in the bag

P (white) = white marbles / total marbles = 6/10 = 3/5

We keep the marble

There are 5 white+4black = 9 marbles in the bag

P (black) = black/total = 4/9

P(white, black no replacement) = 3/5 * 4/9 = 3/9 *4/5 = 1/3*4/5 = 4/15

Answer:

Domain is all real numbers, and range is all integers.  (D)

Answer:

Step-by-step explanation:

Given the random set of numbers chosen from the bag as  {7, 9, 10, 11, 12, 13, 14, 15}

Total outcome = 8 numbers

The numbers that are less than 10 will be the expected outcome, the sets are {7,9}

Expected outcome = 2 elements

Probability = Expected outcome/Total outcome

Pr(that you choose a number less than 10) = 2/8

Pr(that you choose a number less than 10) = 1/4

Answer:

Step-by-step explanation:

The line which 3x represents is twice as big as the 48. That's because both sides other than the base are bisected.

3x = 2 * 48

3x = 96            Divide by 3

3x/3 = 96/3     Combine

x = 32

if f(x) +\(x^{2}\)  \([ f(x) ]^{5}\)  = 34 and f(1) = 2, then f '(1) = - \(\frac{64}{81}\)

f ′(x )'s indicates that it is derived from f (x). The second notation is dydx. The instantaneous rate at which y changes in relation to x is shown by this notation.

f(x) + \(x^{2}\)  \([ f(x) ]^{5}\)  =  34

differentiate with respect to x :

f' (x) + \(x^{2}\) . 5 \([ f(x) ]^{4}\) f'(x) +  \([ f(x) ]^{5}\)  2x = 0

putting x = 1

f' (1) + \(1^{2}\) . 5  \(f(1)^{4}\) f'(1) + \(f(1)^{5}\) 2(1) = 0

f' (1) + 1.5 \((2)^{4}\) f'(1) + \((2)^{5}\) . 2 = 0

f' (1) + 80 f' (1) = - 64

81 f' (1) = - 64

f' (1) = - \(\frac{64}{81}\)                    

thus , the f ' (1) is found.

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Answer:

4abc..............................

Only vector pair a = ⟨−5,0,10⟩ and b = ⟨4,−5,2⟩ is orthogonal. To determine if a pair of vectors is orthogonal, we need to calculate their dot product.

If the dot product is zero, then the vectors are orthogonal. a. ⟨−5,0,10⟩ and ⟨4,−5,2⟩: The dot product is (-5)(4) + (0)(-5) + (10)(2) = -20 + 0 + 20 = 0. Therefore, vectors a and b are orthogonal. b. 2i + 3j and j + k: The dot product is (2)(0) + (3)(1) + (0)(1) = 0 + 3 + 0 = 3. Therefore, vectors a and b are not orthogonal. c. ⟨5,0,−4⟩ and ⟨−1,10,1⟩: The dot product is (5)(-1) + (0)(10) + (-4)(1) = -5 + 0 - 4 = -9.

Therefore, vectors a and b are not orthogonal. d. 2i − 3j − k and j + 3k: The dot product is (2)(0) + (-3)(1) + (-1)(3) = 0 - 3 - 3 = -6. Therefore, vectors a and b are not orthogonal. Based on the dot product calculations, only vector pair a = ⟨−5,0,10⟩ and b = ⟨4,−5,2⟩ is orthogonal.

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The interval being used in this table is 4.

The correct option is A.

Given information:

Minutes         Tally

1 to 5                3

6 to 10              8

11 to 15             11

16 to 20              4

21 to 25              1

To determine the interval being used in the given table, we can observe the differences between consecutive tally ranges.

The differences between the lower and upper limits of each tally range are as follows:

5 - 1 = 4

10 - 6 = 4

15 - 11 = 4

20 - 16 = 4

25 - 21 = 4

As we can see, the differences between consecutive tally ranges are all 4. Therefore, the interval being used in this table is 4.

Based on the provided options:

A. 4: The correct answer.

B. 5: Incorrect, as the interval is 4.

C. 6: Incorrect, as the interval is 4.

D. 7: Incorrect, as the interval is 4.

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Answer:

18<1/2x=6

Step-by-step explanation:

The equation for the given description is 18 - 0.5x = 6

Since 18 less than half a number is 6

So here we assume the number be x

Now the equation is

18 - 0.5x = 6

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a) The value of x, x and Probability(23 ≤ x ≤ 25) is 3.45 and 0.3989

b) The value of x, x and Probability(23 ≤ x ≤ 25) is 2.58 and 0.4738

c) The standard deviation of part (b) is smaller than part (a) because of the larger sample size. Therefore, the distribution about x is narrower

(a)Given distribution's mean = µ = 23, standard deviation = σ = 21 Sample size = n = 37

(a) The sample mean = µ = 23The standard error of the sample mean,

σ mean = σ/√n=21/√37 = 3.45

The lower limit = 23

The upper limit = 25

z-score corresponding to 25 is

= (25-23)/3.45

= 0.58

z-score corresponding to 23 is

= (23-23)/3.45

= 0P(23 ≤ x ≤ 25)

= P(0 ≤ z ≤ 0.58)

= P(z ≤ 0.58) - P(z < 0)

= 0.7202 - 0 = 0.7202

Hence, x = 23, mean = 23, P(23 ≤ x ≤ 25) = 0.7202

(b)The sample mean,  = µ = 23The standard error of the sample mean, σmean = σ/√n=21/√66 = 2.57The

lower limit = 23The upper limit = 25

z-score corresponding to 25 is

= (25-23)/2.57

= 0.78

z-score corresponding to 23 is

= (23-23)/2.57

= 0P(23 ≤ x ≤ 25)

= P(0 ≤ z ≤ 0.78)

= P(z ≤ 0.78) - P(z < 0)

= 0.7823 - 0= 0.7823

Hence, x = 23, mean = 23, P(23 ≤ x ≤ 25) = 0.7823

(c)The standard deviation of part (b) is smaller than that of part (a) because of the larger sample size. Therefore, the distribution about x is narrower. expect the probability of part (b) to be higher than that of part (a) because a smaller standard deviation indicates that the data points tend to be closer to the mean and, therefore, more likely to fall within a certain interval.

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Answer:

1/5

Step-by-step explanation:

2/5 x 1/2 = 2/10 = 1/5

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Answer:

the first person gets €80, the second person gets €40, the third person gets €20 and the fourth person gets €10.

Step-by-step explanation:

Let’s call the amount of money that the first person gets “x”. Then, the second person gets half of x, which is x/2. The third person gets half of x/2, which is x/4. The fourth person gets half of x/4, which is x/8.

The sum of these amounts should be equal to 150€.

x + x/2 + x/4 + x/8 = 150

Multiplying both sides by 8 gives:

8x + 4x + 2x + x = 1200

15x = 1200

x = 80

Therefore, the first person gets €80, the second person gets €40, the third person gets €20 and the fourth person gets €10.

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The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

To convert 2,250 square feet to square centimeters, we can use the conversion factor of 1 square foot = 929.0304 square centimeters⁵. Therefore,

2,250 sq ft = 2,250 x 929.0304 sq cm/ sq ft = 2,090,318.4 sq cm.

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

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Answer:

Step-by-step explanation:

A. 4^5*4^5 = 4^(5+5) = 4^10 ≠ 4^15

B.  (5^4)^5 = 5^(4*5) = 5^20

C. 3^1*3^0 = 3^(1+0) = 3^1 ≠ 3^0

D. 6^20/6^10 = 6^(20 - 10) = 6^10 ≠ 6^2

Answer:

...9 times n added to 1.

....y is divided by m.

Step-by-step explanation:

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Answer:

✔ a division problem

✔ 8 = n ÷ 5

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The level of Q that will yield the maximum net benefits is 4.92, and the maximum level of benefits is 96.

To find the level of Q that maximizes net benefits, we need to calculate the difference between the total benefits (B(Q)) and the total costs (C(Q)). In this case, the net benefits (NB) can be represented as NB(Q) = B(Q) - C(Q).Given B(Q) = 40Q - 2\(Q^2\) and C(Q) = 4 + 2\(Q^2\), we can substitute these expressions into the net benefits equation:
NB(Q) = (40Q - 2\(Q^2\)) - (4 + 2\(Q^2\))
Simplifying, we get:
NB(Q) = 40Q - 2\(Q^2\) - 4 - 2\(Q^2\)
NB(Q) = -4\(Q^2\) + 40Q - 4
To find the level of Q that maximizes net benefits, we need to find the value of Q that maximizes NB(Q). This can be done by finding the maximum point of the quadratic function. In this case, the maximum point occurs at the vertex of the quadratic.
The formula for the x-coordinate of the vertex of a quadratic function of the form a\(x^2\) + bx + c is given by x = -b / (2a). In our case, a = -4 and b = 40.

Calculating the x-coordinate of the vertex:
Q = -40 / (2 * -4)
Q = 40 / 8
Q = 5
Therefore, the level of Q that yields the maximum net benefits is Q = 5. Plugging this value back into the net benefits equation, we can calculate the maximum level of benefits:
NB(5) = -4\((5)^2\) + 40(5) - 4
NB(5) = -4(25) + 200 - 4
NB(5) = -100 + 200 - 4
NB(5) = 96
Hence, the maximum level of benefits is 96.

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Mara would spend approximately PHP 1,050.00 in one week for her daily food allowance.

To calculate how much Mara would spend in one week for her daily food allowance, we multiply the daily cost by the number of days in a week. Since she has a daily food allowance cost of PHP 150.00, we multiply PHP 150.00 by 7 (the number of days in a week).

150.00 * 7 = 1,050.00

Therefore, Mara would spend approximately PHP 1,050.00 in one week for her daily food allowance. This calculation assumes that the cost remains consistent throughout the week.

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The linear optimization technique for allocating constrained resources among different products is linear programming. (option d).

In the context of allocating constrained resources, linear optimization aims to maximize the output of a system while minimizing the input required to produce that output. This is achieved by formulating the problem as a set of linear equations or inequalities, which represent the constraints on the resources.

The linear equations or inequalities define the relationship between the input and output variables, which are typically expressed as linear functions. These functions represent the production possibilities of each product or activity and the available resources, such as labor, materials, and equipment.

The goal of linear optimization is to find the optimal values of the input and output variables that satisfy the constraints and maximize the objective function. The objective function is a linear function that represents the measure of performance or profitability of the system.

Hence the correct option is (d).

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A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer: the rotational speed would be greater during a storm

Step-by-step explanation:

Rotational speed is produced by a torque on an object relative to a pivot. The stronger the wind, the stronger the torque on the anemometer. This increase in net torque would increase the angular acceleration of the anemometer, which would increase the angular velocity (rotational speed).

Answer:

Vertical line (straight up and down)

Step-by-step explanation:

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Answer:

Step-by-step explanation:

the slope of any line is rise/run. What this means is that you have the change in y value divided by the change in x. If you have two points whos x value stays the same, or does not change, you have the change in y divided by 0. Dividing any number by 0 gives you the answer “undefined”.

The histogram in Figure 2.16 shows that the distribution of waiting times is skewed to the right and not symmetrical.

Histograms are visual representations of the distribution of a dataset.

In order to determine whether the empirical rule is appropriate for describing the distribution of bank customer waiting times, we need to examine the histogram in Figure 2.16.

Looking at the histogram, we can see that the distribution of waiting times is not perfectly symmetrical.

The shape of the histogram is not exactly bell-shaped, which is what we would expect if the data were normally distributed. Instead, it is skewed to the right.

In conclusion, the histogram in Figure 2.16 indicates that the empirical rule is not appropriate for describing the distribution of bank customer waiting times. This is because the waiting times are not normally distributed and do not follow a symmetrical, bell-shaped curve.

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The profit for 33 sales is $145

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given:

f(x) = 5x is the  revenue (in dollars) for selling x hamburgers.

profit = $20 less than revenue

So, the equation for the profit is

profit = 5x - 20

Now, if sales is 33 i.e., x=33 then profit will be

profit = 5(33) - 20

profit = 165-20

profit = $145

Hence, the profit is $145

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