The formula for the area of a kite is 2. where d, and dz are the lengths of the diagonals. If a kite has an area of 12 square feet and a diagonal with a length of 8 feet, what is the length of the other diagonal? А 4 feet B 48 feet C 3 feet D 12 feet. somebody please help ASAP​

Answer:

H

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2\(x^{2}\)+3)(x+4)

2\(x^{3}\)+8\(x^{2}\)+3x+12

89 vegetarian dishes

The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Using unitary method,

152 passengers are served with = 27 dishes

1 passengers are served with = 27/152

500 passengers are served with = 27 x 500 / 152

                                                         = 88. 81

                                                         ≈ 89 vegetarian dishes

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To pay for the new computer, you would need to work approximately 45 hours.

To calculate the number of hours needed to pay for the computer, we first need to determine the total deductions from the hourly wage. FICA, federal tax withholding, and state tax withholding are deducted from the $10.00 hourly wage.

FICA (7.65% of $10.00) = $0.765

Federal tax withholding (12% of $10.00) = $1.20

State tax withholding (8% of $10.00) = $0.80

Total deductions = $0.765 + $1.20 + $0.80 = $2.765

After subtracting the total deductions from the hourly wage, we get the net pay per hour

Net pay per hour = $10.00 - $2.765 = $7.235

To find the number of hours needed to pay for the computer, we divide the price of the computer by the net pay per hour

Number of hours = Price of the computer / Net pay per hour

Number of hours = Price of the computer / $7.235

Since the price of the computer is not mentioned in the question, we cannot determine the exact number of hours required. However, if we know the price of the computer, we can substitute it into the equation to find the answer.

The calculation and factors affecting it such as the price of the computer, any additional expenses or taxes, and the net pay per hour.

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The time Jenna spent driving the rest of her road trip was 2/3 hours.

Let the time Jenna spent driving at 50 mph be t1 and the time spent driving at 40 mph be t2. Also, let the distance covered while it was not raining be d.

We know that t1 + t2 = total time, and d + 2t2 + 2t1 = 140 miles.

Since we know that Jenna drove 50 mph while it was not raining, we can find the distance she covered during that time as d = 50t1.

Similarly, we know that Jenna drove 40 mph while it was raining, so the distance covered during that time can be found as 80t2, since Jenna's speed relative to the road was only 10 mph (50 mph - 40 mph).

Substituting the above values in the second equation, we get:

50t1 + 80t2 = 60

Dividing by 10, we get:

5t1 + 8t2 = 6

Multiplying the above equation by 2, we get:

10t1 + 16t2 = 12

Now, substituting t1 + t2 = total time = 140/50 + t2, we get:

10t1 + 16t2 = 14

Subtracting the above equation from the previous one, we get:

6t2 = 2

Therefore, t2 = 1/3 hours.

Thus, the time Jenna spent driving at 50 mph was t1 = 1.4 - 2t2 = 1.4 - 2/3 = 2/3 hours.

So, the time Jenna spent driving the rest of her road trip was 2/3 hours.

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The probability of event B occurring given that event A has already occurred is 0.84. The probability of event A occurring is 0.49. Therefore, the probability of both events B and A occurring is **0.412**, rounded to three decimal places.

The probability of event B occurring given that event A has already occurred is denoted by P(B|A). In this case, P(B|A) = 0.84. This means that if event A occurs, there is an 84% chance that event B will also occur.

The probability of event A occurring is denoted by P(A). In this case, P(A) = 0.49. This means that there is a 49% chance that event A will occur.

The probability of both events B and A occurring is calculated using the following formula:

```

P(B AND A) = P(B|A) * P(A)

```

Substituting the values we have, we get:

```

P(B AND A) = 0.84 * 0.49 = 0.412

```

Therefore, the probability of both events B and A occurring is **0.412**, rounded to three decimal places.

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Answer:

2.41

Step-by-step explanation:

Cross multiplication

47(2)=39b

94÷39=39b÷39

2.41=b

Answer:

f(x) = (x+2)(x-1)(x-3)

Step-by-step explanation:

f(-2) = 0, f(1) = 0, f(3) = 0. Therefore, (x+2), (x-1) and (x+3) are the factors

Answer:

always true

Step-by-step explanation:

Simplify, and if possible solve the equation to find out

remember, inverse operations

5x - 10 + 2x = 7 + 7x - 17

simplify both sides

7x - 10 = 7x - 10

this is an identity, no matter the value of x put in, the equation will be true,

hence the equation is always true

Answer: x =-9/5

Step-by-step explanation:

Answer: Part a) translate g(x) 6 units to the right, Translate f(x) 6 units to the left

Part b) k=3 (slope)

Step-by-step explanation:

Answer:

C(-3,3)

Step-by-step explanation:

Given

A = (7,-1)

B = (2,1)

AB:AC = 1:2

Required

Determine the coordinates of C

Since, B is between A and C; we need to determine ratio BC as follows;

\(AB:AC = 1:2\)

Convert to division

\(\frac{AB}{AC} = \frac{1}{2}\)

AC = AB + BC;

\(\frac{AB}{AB + BC} = \frac{1}{2}\)

Cross Multiply

\(2 * AB = 1 * (AB + BC)\)

\(2 AB = AB + BC\)

\(2AB - AB = BC\)

\(AB = BC\)

Divide both sides by BC

\(\frac{AB}{BC} = 1\)

Rewrite as

\(\frac{AB}{BC} = \frac{1}{1}\)

Write as ratio

\(AB:BC = 1:1\)

Next is to determine the coordinates of C as follows;

Because B is between both points. we have:

\(B(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})\)

Where

\(m:n = AB:BC = 1:1\)

\(B(x,y) = B(2,1)\)

\(A(x_1,y_1) = A(7,-1)\)

So; we're solving for x2 and y2

\(B(2,1) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})\)

Where

Solving for x2;

\(x = \frac{mx_2 + nx_1}{m+n}\)

\(2 = \frac{1 * x_2 + 1 * 7}{1+1}\)

\(2 = \frac{x_2 + 7}{2}\)

Cross Multiply

\(2 * 2 = x_2 + 7\)

\(4 = x_2 + 7\)

\(x_2 = 4 - 7\)

\(x_2 = -3\)

Solving for y2;

\(y = \frac{my_2 + ny_1}{m+n}\)

\(1 = \frac{1 * y_2 + 1 * -1}{1+1}\)

\(1 = \frac{y_2- 1}{2}\)

Cross Multiply

\(2 * 1 = y_2 - 1\)

\(2 = y_2 - 1\)

\(y_2 = 2 + 1\)

\(y_2 = 3\)

Hence, the coordinates of C are: C(-3,3)

The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

Some key features regarding null hypothesis are-

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Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

The size of the decrease in mean PCB content from 1982 to 1996, based on the study, is estimated to be approximately 45.5, with a 95% confidence interval of (38.4, 52.6).

To calculate the confidence interval, we multiply the standard error by the appropriate critical value from the t-distribution. Since we do not know the exact sample size, we will use a conservative estimate and assume a sample size of 10. This allows us to use the t-distribution with n-1 degrees of freedom.

Using a t-distribution table or statistical software, the critical value for a 95% confidence interval with 10 degrees of freedom is approximately 2.228.

Confidence Interval = Mean Difference ± (Critical Value × Standard Error)

= 45.5 ± (2.228 × 3.2)

= 45.5 ± 7.12

Therefore, the 95% confidence interval for the size of the decrease in mean PCB content from 1982 to 1996 is approximately (38.4, 52.6).

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Complete Question:

PCBs have been in use since 1929, mainly in the electrical industry, but it was not until the 1960s that they were found to be a major environmental contaminant. In the paper “The ratio ofDDE to PCB concentrations in Great Lakes herring gull eggs and its use in interpreting contaminants data” [appearing in the Journal of Great Lakes Research 24 (1): 12–31, 1998], researchers report on the following study. Thirteen study sites from the five Great Lakes were selected. At each site, 9 to 13 herring gull eggs were collected randomly each year for several years. Following collection, the PCB content was determined. The mean PCB content at each site is reported in the following table for the years 1982 and 1996.

Site         1982                    1996                      Differences

1               61.48                    13.99                           47.49

2              64.47                     18.26                           46.21

3                45.5                     11.28                             34.22

4                59.7                      10.02                           49.68

5             58.81                       21                                  37.81

6              75.86                   17.36                                 58.5

Estimate the size of the decrease in mean PCB content from 1982 to 1996, using a 95% confidence interval.

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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To find the scale factor, we just have to divide

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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The orange will fall 64 feet in 8 seconds.

Distance:

Distance is defined as how much ground an object has covered despite its starting or ending point.

Given,

The distance a falling object travels towards the earth is directly proportional to the square of the time that it falls.

And an orange falls 16 feet in 4 seconds.

Here we need to find the how far it will fall in 8 seconds.

Based on the given details,

We know the that distance is,

D = kt²  

where

k is the constant of proportionality.  

To find the value of k we have to apply the given values on the equation.

=> 16 = k x (4)²

=> 16 = k x 16

=> k = 16/16

=> k = 1.

So, in 8 seconds it will fall at

=> D = 1 x (8)²

=> D = 1 x 64

=> D = 64 feet.

Therefore, the orange will fall at 64 feet in 8 seconds.

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Answer:

C - The failure was a starting point for a buildup of aggression around the world.

Step-by-step explanation:

EDGE2021 :-)

Have a nice day! ;)

We can actually deduce here that the League of Nations' failure to end the Abyssinian Crisis actually helped to lead to World War II in the following way: C. The failure was a starting point for a buildup of aggression around the world.

The Abyssinia Crisis is actually known to be a crisis that took place in 1935 which took place during the period of the conflict between the Kingdom of Italy and the Empire of Ethiopia. It happened that Italy was actually ruled against by the League of Nations. They were voted for economic sanctions.

We can actually deduce here that the League of Nations' failure to end the Abyssinia Crisis led to World War II when there was a buildup of aggression around the world.

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Answer:

.8

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

The formula to find percent increase is \(100 * \frac{final-initial}{|initial|}\). We're given the initial value as 120 and the final value as 150.

Therefore, the percent increase is 25%.

Answer:

14) y=x-3

domain , range

12,9

15,12

22,19

30,27

16) y=3x+4

domain , range

0,4

5,19

7,25

10,34

18)2/3x + 1/3

domain , range

4,3

6, 13/3

8, 17/3

12, 37/3

Step-by-step explanation:

Emily visited 12 houses on Halloween eve and received 9 treats from each house. Therefore, the total number of treats she received is:12 x 9 = 108 treats. To determine how many inches of yarn she had to begin with, we can add the amount she used to the amount she had left:

65 + 85 = 150 inches of yarn to begin with.

140 stickers were shared equally among 7 children. To find out how many stickers each child gets, we can divide the total number of stickers by the number of children:

140 ÷ 7 = 20 stickers per child.

Didi sold 88 pumpkins at a cost of $8 each. To calculate the total amount of money she earned from selling all the pumpkins, we can multiply the number of pumpkins sold by the cost per pumpkin:

88 x $8 = $704 earned.

Aly used 65 inches of yarn for her math project and had 85 inches left. To determine how many inches of yarn she had to begin with, we can add the amount she used to the amount she had left:

65 + 85 = 150 inches of yarn to begin with.

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The function g tells us the amount of remaining water.

The variable x gives us how much time has passed.

Given g(840) = 0,

We can see that the variable x is 840 and the functional value of g is 0.

This means at after 840 minutes the amount of water in the pool will be zero.

Looking at the choices, the correct answer is >>>

The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).

= (41/10) × (- 4) × (5/12).

= (41×-4×5)/(10×12).

= (-820/120).

= - 82/12.

= - 41/6.

= \(-6\frac{5}{6}\).

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The mean and standard deviation of the population is 19.8 and 0.004 respectively.

Mean:

The mean is the simple mathematical average of a set of two or more numbers. The mean of a given set of numbers can be calculated in several ways, including the arithmetic mean, which uses the sum of the numbers in the range, and the geometric mean, which takes the mean product of a set. However, all major methods of calculating simple averages produce the same approximate result most of the time.

Standard Deviation:

In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values.  A low standard deviation indicates that the values ​​tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values ​​are spread over a wider range.

Given that:

E(x) = μ = 19.8

var(x) = σ²/n = 0.2/50 = 0.004

from here can say that mean = 19.8 and

standard Deviation is 0.004.

Now,

295 -298 P(Bottle x < 295) =P(Z< ) =-1.00 =.15873

Thus, there is nearly a 16% probability that just 1 randomly selected

bottle contains < 295 ml.

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