help!!
find the area of the figure below

Answer:

180 ft2

Step-by-step explanation:

First solve for the area of the trapzeoid using formula:

A= a+b/2xh

10+18x6/2

A= 84 ft2

Then solve for the rectangles B and C:

12x4= 48

48x2 (because theres two rectangles) which equals 96

Combine the two to get the total area:

96+84= 180

Answer: X= 5/9

Step-by-step explanation: divide both sides by 3/5. 1/3 divided 3/5= 5/9

Answer:

5/9

Step-by-step explanation:

1/3 x 5/3 = 5/9

Answer:

\(r=\frac{\sqrt{314\pi}}{2\pi}\)

Step-by-step explanation:

\(A=\pi r^2 \\ \\ 78.5=\pi r^2 \\ \\ r^2=\frac{78.5}{\pi} \\ \\ r=\frac{\sqrt{314\pi}}{2\pi}\)

The standard deviation for the given data is 5

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

Given that,

the data,

X            Xₙ - X₀            (Xₙ - X₀)²

18            -7                      49

21             -4                      16

24            -1                        1

24            -1                        1

25             0                       0

31              6                      36

32            7                     49  

175                                  152

X₀  = 175/7 = 25

Variance  =    (Xₙ - X₀)²/(n-1)

                 =  152/(7-1)

                 =   25.33

Standard deviation =  √Variance

                                =  √25.33

                                =   5.03

Hence, the standard deviation is 5

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Answer:

1/6

Step-by-step explanation:

You have to divide both the numerator and denominator by the greatest common factor to get simplest form. In this case, the gcf(Greatest Common Factor) is 3. 3/3 is 1 and 18/3 is 6

Therefore, the answer is 1/6

Answer:

22 degrees

Step-by-step explanation:

line cb=5.831

angle b = 67.834 degrees

angle c = 22.166 degrees

Answer:

A. 28

Step-by-step explanation:

Recall that the sum of all of the angle of a triangle must be 180 degrees. As we have 2 of the angles, we can subtract these angles from 180 to find the missing angle

\(180-95-57=28\)

Answer:

Option A is correct

Step-by-step explanation:

    x + 95 + 57 = 180 deg (sum of 3 angles in triangle)

=> x = 180 - 95 - 57

=> x = 28

Hope this helps!

Over a period of 1.5 hours, a continuous IV infusion at a rate of 15 gtt/min (with a drop factor of 10 gtt/ml) will result in 135 milliliters being infused.

To calculate the number of milliliters that will infuse over 1.5 hours, we need to convert the infusion rate from drops per minute to milliliters per hour.

Infusion rate: 15 gtt/min

Drop factor: 10 gtt/ml

First, we can calculate the infusion rate in milliliters per minute:

Infusion rate (ml/min) = Infusion rate (gtt/min) / Drop factor (gtt/ml)

Infusion rate (ml/min) = 15 gtt/min / 10 gtt/ml = 1.5 ml/min

Next, we can convert the infusion rate to milliliters per hour:

Infusion rate (ml/hour) = Infusion rate (ml/min) × 60 min/hour

Infusion rate (ml/hour) = 1.5 ml/min × 60 min/hour = 90 ml/hour

Finally, we can calculate the total volume that will infuse over 1.5 hours:

Volume (ml) = Infusion rate (ml/hour) × Time (hours)

Volume (ml) = 90 ml/hour × 1.5 hours = 135 ml

Therefore, 135 milliliters will infuse over 1.5 hours.

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Answer:

\( 3\frac{1}{2} \)

\( = 7\)

Now,

7℅ of 2500

\( \frac{7}{100} \times 2500\)

\(7 \times 25\)

\( = 175\)

Commision=$175

hope it helps you :)

Answer:

the commison is $175

hope it helps you

The side x in the figure of right triangle is solved to be

The side x is worked using SOH CAH TOA, this is an acronym for the formulae below

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The formulae is used for right triangles and will be used to solve for side x. Using tan, TOA

The values are as follows

the given angle = 51 degrees

opposite = x

adjacent = 15

tan (given angle) = Opposite / Adjacent

substituting the values

tan 51 = x / 15

x = 15 * tan 51

x = 18.52

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Answer:

d. -11+7

Step-by-step explanation:

two negatives make a positive.

i hope this helps :)

It takes 30 hours using the hose alone to fill the swimming pool.

Step 1: Make denominators the same

Step 2: Add or Subtract the numerators (keeping the denominator the same)

Step 3: Simplify the fraction

To add or subtract unlike fractions, the first step is to make denominators the same so that numerators can be added just like we do for like fractions.

Let \(x\\\) represent the swimming pool be filled with hose alone.

Given that using the pipe alone it takes 12 hours. using both it takes 8 4/7 hours. According to given condition,

\(\frac{1}{x} + \frac{1}{12} = \frac{1}{8\frac{4}{7} } \\\frac{1}{x} = \frac{1}{\frac{60}{7} } - \frac{1}{12}\)

\(\frac{1}{x} = \frac{7}{60} - \frac{1}{12}\\\\ \frac{1}{x} = \frac{7}{60} - \frac{5}{60}\\\\\frac{1}{x} = \frac{2}{60}\\\\ x = \frac{60}{2}\\\\\\ x= 30\)

It takes 30 hours using the hose alone to fill the swimming pool.

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The given statement " One of the major disadvantages of a questionnaire is that there is no guarantee that the respondents are representative" is true because respondents may self-select to participate in the survey, meaning that the sample may not accurately reflect the views of the wider population.

Additionally, some respondents may not respond truthfully or may not take the questionnaire seriously, which can also affect the representativeness of the sample. For example, respondents may answer questions in a socially desirable way or may not fully understand the questions being asked.

To minimize these risks, researchers should use a rigorous sampling method to select participants for the survey and ensure that the questions are clear and easy to understand. They should also consider using multiple methods of data collection to gather a more comprehensive understanding of the target population.

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Answer:

70*20=1400/2= 700. that's all

Answer:

Therefore the transformation is a dilation of Figure a by a scale factor of -2

Step-by-step explanation:

Take any point on figure A and see what its coordinates are

Take the corresponding point on figure B and see what its coordinates are

This will give you an idea of what transformation has taken place

In figure A, take point (1, 3)

The corresponding point in Figure B is (-2, -6)

This is a dilation of the point (1, 3) by a scale factor of -2 since -2 x (1, 2) = (-2, -6)

The other points are similarly dilated

(3, 3) ==> (-6, -6)

(3, 4) ==> (-6, -8)

Therefore the transformation is a dilation of Figure a by a scale factor of -2

Step-by-step explanation:

I think it is $4,821 because that is what I got as an answer. I hope this helped!

Answer:

y = -2x - 4

Step-by-step explanation:

Formula is y = mx + b where m is the slope and b is the y-intercept

(1, -6) (-3, 2)

\(\frac{-6-2}{1-(-3)}=\frac{-8}{4} =-2\)

The slope is -2

y = -2x + b

So let's find b, insert 2 for y and -3 for x to find b

2 = -2(-3) + b

2 = 6 + b

Subtract 6 from both sides to get b alone

-4 = b

We found what b equals (the y-intercept), which is -4

So, the equation is y = -2x - 4

Hope this helps and pls do mark me brainliest:)

Answer:

the nearest whole number is one i took  the test

Step-by-step explanation:

Answer:

\(-7=h\\-6.81=q\)

Step-by-step explanation:

For question #1:

\(-3=h+8/2\\-3=h+4\\-7=h\)

For question #2:

\(q+16.41=9.6\\q=-6.81\)

the two siblings at present age are Son = 7 years old Daughter = 21 years old.

Therefore, if it's his child, it should be younger than him. That means both age groups are above 42. The number of one must also be three times the number of the other. 7 * 3 = 21, both of which he is under 42, is your answer.

If the age-group sums are X and Y, and the ratio of each age-group is p:q, then you can find the age of Y using the following formula: Age of Y = ratio of Y / total ratio x total years. Age of Y = q/ (p+q) x A.

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Answer:

92.14

Hope this helps!

Step-by-step explanation:

To find the area of the figure, you need to find the area of the rectangle and the semi-circle.

13 × 6 = 78, the area of the rectangle is 78.

The area of the semi-circle can be found using the formula \(\frac{\pi r^{2} }{2}\), the diameter is 6 so the radius is 3.

\(\frac{\pi 3^{2} }{2} =\frac{\pi 9}{2} =\frac{9\pi }{2} = \frac{28.27433...}{2} = 14.1371...\)

14.137 + 78 = 92.137 or 92.14.

Answer:

3

Step-by-step explanation:

It owuld be 3 cuz the least significant digit would be used to determine the precision right? So it would be 3!

A function assigns the values. The correct options are A, B, and E.

A function assigns the value of each element of one set to the other specific element of another set.

The situations that can be best modelled by exponential functions are:

A) The yearly depreciation of a car.

B) An investment compounded annually.

E) The annual growth rate of a city's population.

Hence, the correct options are A, B, and E.

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Answer: 2

Step-by-step explanation:

Answer:

6y-6y, cancel it out to find x first.

-5x+6y=41

7x-6y=-43

2x=-2

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

The first step is to add the 2 equations This will eliminate the y terms  

( + 6y + -6y = 0).

So you are then left with 2x = -2

Let's begin by using the formulas for the volume and surface area of a cube:

Volume = edge^3

Surface Area = 6 * edge^2

1. To find how fast the volume is shrinking when each edge is 13 cm, we need to take the derivative of the volume formula with respect to time:

dV/dt = 3(edge)^2 * (d(edge)/dt)

We know that the rate of change of the edge is -3 cm/sec (since it is shrinking), and we are given that the edge length is 13 cm. Substituting these values into the derivative formula, we get:

dV/dt = 3(13)^2 * (-3) = -1521 cm^3/sec

Therefore, the volume is shrinking at a rate of 1521 cm^3/sec when each edge is 13 cm.

2. Similarly, to find how fast the surface area is decreasing when each edge is 13 cm, we need to take the derivative of the surface area formula with respect to time:

dS/dt = 12(edge) * (d(edge)/dt)

Using the same values as before, we get:

dS/dt = 12(13) * (-3) = -468 cm^2/sec

Therefore, the surface area is decreasing at a rate of 468 cm^2/sec when each edge is 13 cm.
1. To find the rate at which the volume is shrinking, we can use the formula for the volume of a cube (V = a³) and differentiate with respect to time (t):

dV/dt = d(a³)/dt = 3a²(da/dt)

Given that the edges are shrinking at a rate of 3 cm/sec (da/dt = -3 cm/sec), and each edge is 13 cm:

dV/dt = 3(13²)(-3) = -1521 cm³/sec

The volume is shrinking at a rate of 1521 cm³/sec.

2. To find the rate at which the surface area is decreasing, we can use the formula for the surface area of a cube (S = 6a²) and differentiate with respect to time (t):

dS/dt = d(6a²)/dt = 12a(da/dt)

Given that the edges are shrinking at a rate of 3 cm/sec (da/dt = -3 cm/sec), and each edge is 13 cm:

dS/dt = 12(13)(-3) = -468 cm²/sec

The surface area is decreasing at a rate of 468 cm²/sec.

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a)We can use the Binomial probability distribution to compute the probability of X successes, using the binomial formula. We are given:

n = 6, X = 3, p = 0.03.

The binomial probability distribution formula is:

P(X = k) = (n C k) * p^k * (1-p)^(n-k)

Where k is the number of successes, n is the total number of trials, p is the probability of success, and (n C k) is the number of combinations of n things taken k at a time.

Substituting the given values in the above formula, we get:

P(X = 3) = (6 C 3) * 0.03^3 * (1-0.03)^(6-3)

P(X = 3) = (20) * (0.000027) * (0.970299)

P(X = 3) = 0.000052965

Therefore, the probability of 3 successes is 0.000052965.b)We are given: n = 4, X = 2, p = 0.18.

The binomial probability distribution formula is:

P(X = k) = (n C k) * p^k * (1-p)^(n-k)

Substituting the given values in the above formula, we get:

P(X = 2) = (4 C 2) * 0.18^2 * (1-0.18)^(4-2)P(X = 2) = (6) * (0.0324) * (0.6724)P(X = 2) = 0.0137936

Therefore, the probability of 2 successes is 0.0137936.

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About 99.7% of individuals have IQ scores in the interval 100 ± 3 ( 15 ) = [ 55 , 145 ] .

A total score obtained from a series of standardized tests or subtests created to gauge human intelligence is known as an intelligence quotient (IQ).  The psychologist William Stern created the abbreviation "IQ" for the German term Intelligent quotient, which he used to refer to a scoring system for intelligence tests at the University of Breslau that he promoted in a 1912 book.

In the past, a person's IQ was determined by dividing their mental age score—obtained after taking an intelligence test—by their chronological age, which was also stated in years and months. To get the IQ score, the resulting fraction (quotient) was multiplied by 100. The raw score for contemporary IQ tests is converted to a normal distribution with a mean of 100 and a standard deviation of 15.

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In Korea, tofu is typically offered during breakfast.

Describe breakfast.

The first meal of the day, known as breakfast, is often had in the morning. After an overnight fast, it is a crucial meal that gives the body and brain fuel. Protein and carbs are generally found in breakfast foods such eggs, bacon, oatmeal, toast, pancakes, yoghurt, cereal, and fruits. A nutritious breakfast may boost energy levels, jump-start the metabolism, and enhance focus and memory. A nutritious breakfast can also aid in lowering mid-day snacking and preventing overeating in the evening. Make sure to incorporate breakfast in your daily schedule since eating breakfast is crucial to living a healthy lifestyle.

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