Hi I need help please

Answer:

136 cm²

Step-by-step explanation:

Area of the composite figure = area of the triangle + area of the rectangle

= ½*bh + L*W

Where,

b = 16 - 8 = 8 cm

h = 13 - 7 = 6 cm

L = 16 cm

W = 7 cm

Plug in the values into the equation

Area of the composite figure = ½*8*6 + 16*7

= 24 + 112

= 136 cm²

For the given percenatge of total cost, the total value of Gabe's health care coverage for the year is $9,984.

What is percentage?

Percentage is a way of expressing a fraction or a part of a whole as a portion out of 100. It is represented by the symbol "%".

We can start by using the information given to determine the total cost of the health care coverage. Let's call this cost "C". Since Gabe contributes 15% of this cost and pays $28.80 per week, we can write:

0.15C = 28.80

To solve for C, we can divide both sides by 0.15:

C = 28.80 / 0.15

= 192

So the total cost of the health care coverage is $192 per week. To find the total value of Gabe's health care coverage for the year, we need to multiply this weekly cost by the number of weeks in a year.

Assuming there are 52 weeks in a year, we have:

Total value of Gabe's health care coverage = 192 x 52

= 9984

Therefore, the total value of Gabe's health care coverage for the year is $9,984.

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Given:

The given digits are 1,2,3,4,5, and 6.

To find:

The number of 5-digit even numbers that can be formed by using the given digits (if repetition is allowed).

Solution:

To form an even number, we need multiples of 2 at ones place.

In the given digits 2,4,6 are even number. So, the possible ways for the ones place is 3.

We have six given digits and repetition is allowed. So, the number of possible ways for each of the remaining four places is 6.

Total number of ways to form a 5 digit even number is:

\(Total=6\times 6\times 6\times 6\times 3\)

\(Total=3888\)

Therefore, total 3888 five-digit even numbers can be formed by using the given digits if repetition is allowed.

The answer to the problem is 16870

Answer:

1,645

Step-by-step explanation:

The exponential function \(Y=21{(1.44)}^x\) represents growth when x ∈ N.

The formula for exponential growth is \(y = y_0.e^{(kt)}.\)

The formula for exponential decay is \(y = y_0.e^{(-kt)}.\).

Given, An exponential function \(Y=21{(1.44)}^x\).

Now, This function can represent growth or decay depending upon the values of 'x'.

If x ∈ N, Then this exponential function \(Y=21{(1.44)}^x\) represents growth.

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Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Answer: $560

A math tutor earns $128 for working 8 hours

The amount earned = $128

Working time = 8 hours

Using the rate formula

The math tutor will earned a sum of $560 if he works for 35 hours

Answer:

answer is -11

Step-by-step explanation:

(-5,4)=(X,Y)

m=(-3)

use slope intercept form.

y=mx+c

Answer:

-32

Step-by-step explanation:

Let the number be x.

\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)

Answer: The line passing through the point with vector 2a + 3b and parallel to c can be written as:

r = (2a + 3b) + t c

where t is a scalar parameter.

To find where this line intersects the plane, we can substitute the line equation into the plane equation and solve for t and s:

a - b + t(a + b - c) + s(a + c - b) = (2a + 3b) + t c

Expanding both sides and collecting terms, we get:

[(1 + t + s) a + (-1 - t + s) b - tc + ts c] = (2a + 3b)

Equating the coefficients of a, b, and c on both sides, we get the following system of equations:

1 + t + s = 2

-1 - t + s = 3

-t + ts = 0

Solving for t and s, we get:

t = -1

s = 1

Substituting t = -1 into the line equation, we get:

r = (2a + 3b) - c

Therefore, the position vector of the line where it intersects the plane is 2a + 3b - c.

The small business needs to produce 53 action figures on Friday

so that the mean number of action figures produced per day is 50.

Arithmetic mean or average can be obtained by adding all the given values and then dividing the total sum by the number of values.

Assuming that the small business needs to produce x number of action figures on Friday.

∴ (50 + 55 + 45 + 53 + 44 + x)/6 = 50.  (mean is average)

247 + x = 300.

x = 300 - 247.

x = 53.

So, On Friday they have to produce 53 action figures.

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Answer: 400

Step-by-step explanation:

Answer:

c. 18%

e. 46%

Step-by-step explanation:

c. Since the time given is 5.9, it is easiest to just calculate for every 0.1 second. So, there are 50 0.1 seconds in 5 seconds. If you divide 100/50 you get 2. So that is your percentage for each 0.1 seconds. It says less than 5.9 so theres 10 0.1 seconds. If you multiply 9x2 you get 18%.

e. based on 2% for every 0.1 seconds, there are 5 0.1 seconds between 5 and 5.5 and 18 0.1 seconds between 7.2 ad 10. 23x2= 46%

I would like to note that this question is incorrectly asked as it says less than which means the time given wouldnt count. It would have made much more sense to say 5.9 minutes or less.

Im pretty sure this is the right answer but it could be c. 20% and e. 50%

Hope this helps!

Suppose the time it takes Lizzie to eat an apple is uniformly distributed:

a. The distribution of X is Uniform, denoted as X ~ U(5, 10).

b. To find the probability that it takes Lizzie more than 11 minutes to finish the next apple, find the area of the distribution curve to the right of 11. Since the distribution is uniform, the probability is the ratio of the length of the interval [11, 10] to the total length of the interval [5, 10].

Probability (X > 11) = (10 - 11) / (10 - 5) = -1 / 5 = 0 (rounded to 4 decimal places)

c. Probability (X < 5.9) = (5.9 - 5) / (10 - 5) = 0.18

d. Probability (5.5 < X < 7.2) = (7.2 - 5.5) / (10 - 5) = 0.34

e. To find the probability that it takes Lizzie fewer than 5.5 minutes or more than 7.2 minutes to finish the next apple, find the sum of the probabilities of these two disjoint events:

Probability (X < 5.5 or X > 7.2) = Probability (X < 5.5) + Probability (X > 7.2)

= (5.5 - 5) / (10 - 5) + (10 - 7.2) / (10 - 5)

= 0.1 + 0.36

= 0.46

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Answer: a )The answer is 196.126.

b )

Step-by-step explanation:

a) Multiply 33.1 and 18.2= 602.62

Divide the result by 5.8:

602.62 / 5.8 = 196.126

Therefore, 33.1x18.2 / 5.8 = 196.126.

Answer:

90 + 0.1 + 0.02 + 0.005

Step-by-step explanation:

Answer:

\(\left(q-\dfrac{23}{2}\right)^2\)

Step-by-step explanation:

Given the expression: \(q^2-23q\)

To complete the square, we follow these steps:

Step 1: Identify the coefficient of q

Coefficient of q=-23

Step 2: Divide the coefficient of q by 2

\(=-\dfrac{23}{2}\)

Step 3: Square your result from step 2 and add it to the equation

This gives us: \(q^2-23q+\left(-\dfrac{23}{2}\right)^2\)

We have now completed the square.

Step 4: Write the result as a binomial square.

To write it as a binomial square, pick the variable and add the term in the bracket.

Therefore:

\(q^2-23q+\left(-\dfrac{23}{2}\right)^2=\left(q-\dfrac{23}{2}\right)^2\)

The perfect square form of the given expression will be \((q-\dfrac{23}{2})^2\).

The given expression is \(q^2-23q\).

It is required to write the given expression as a perfect square polynomial or trinomial.

We will use the identity \((a+b)^2=a^2+2ab+b^2\).

So, the first term from the given expression will be \(a=q\).

To find the second term b, divide the 2nd term of the given expression by 2,

\(b=\dfrac{-23}{2}\)

So, the given expression can be written in the perfect square form as,

\(a^2+2ab+b^2=q^2-23q+(\dfrac{-23}{2})^2\\=(q-\dfrac{23}{2})(q-\dfrac{23}{2})\\=(q-\dfrac{23}{2})^2\)

Therefore, the perfect square form of the given expression will be \((q-\dfrac{23}{2})^2\).

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Therefore, Kallie will need to use a total of 6 teaspoons of water conditioner for all the water in 12 fish tanks.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign, with the expression on the left being equal to the expression on the right. Equations are used to represent various relationships and situations in mathematics and other fields, and are solved to find the values of variables that make the equation true.

Here,

First, we need to determine the total amount of water in all 12 fish tanks. Since each fish tank is filled with 20 quarts of water, the total amount of water in all 12 fish tanks is:

12 fish tanks * 20 quarts per fish tank = 240 quarts of water

To convert quarts to gallons, we divide by 4 (since there are 4 quarts in a gallon):

240 quarts / 4 quarts per gallon = 60 gallons of water

Now, we can use the given conversion factor to determine how many teaspoons of water conditioner are needed for 60 gallons of water. Since for every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner, for 60 gallons of water, she will use:

60 gallons / 10 gallons per teaspoon = 6 teaspoons of water conditioner

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We have the equation 2.3 + 3.7 = 6.

The commutative property of addition is:

In this case, we can write the equation as 3.7 + 2.3 = 6.

The mean absolute deviation (MAD) of the data set is equal to 180.625.

The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.

Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)

x bar =average value of the given data set

n= total number of data set

xi = data value in a given set

According to the question,

x bar = sum of all the data set / total number of the data set

x bar = 2052/16 = 128.25

Substitute the value in the formula, we have

Mean absolute deviation = 2890/16 = 180.625

Hence, the Mean absolute deviation of the data set is equal to 180.625.

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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5

The term Mean absolute deviation in math is defined as the average distance of each observation of data set  and the mean of the data set.

Here we have given the following data.

=> 13, 0 , 14 , 36, 18, 9

Then the mean of the data is calculated as,

=> (13 + 0 + 14 + 36 + 18 + 9)/6

=> 90/6

=> 15

Now, we have to the Substitute the value in the formula, we have

And then the Mean absolute deviation is calculated as,

=> (90 + 15)/6

=> 105/6

=> 17.5

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Using the t-distribution, it is found that the 95% t-confidence interval for the population mean weight of newborn mice with snipped tails is (42157, 42843).

The interpretation is: The researchers are 95% confident that the true population mean weight of newborn mice with snipped tails is between the upper and lower limits of the confidence interval.

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The information given is:

Sample mean of \(\overline{x} = 42500\).

Sample standard deviation of \(s = 6068\).

Sample size of \(n = 1200\).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 1200 - 1 = 1199 df, is t = 1.96.

The interval is:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 42500 - 1.96\frac{6068}{\sqrt{1200}} = 42157\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 42500 + 1.96\frac{6068}{\sqrt{1200}} = 42843\)

The 95% t-confidence interval for the population mean weight of newborn mice with snipped tails is (42157, 42843).

The interpretation is that we are 95% sure that the population mean weight is in this interval, hence:

The researchers are 95% confident that the true population mean weight of newborn mice with snipped tails is between the upper and lower limits of the confidence interval.

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Answer:

8kg/4 days

4kg/8 days

16kg/2 days

2kg/16 days

Step-by-step explanation:

Answer:

8+15+4x and 3x+15+3x

Step-by-step explanation:

Answer:

119°

Step-by-step explanation:

the angles of a triangle make 180° (so does a straight line) therefore

180 (triangle) = a + c + 51

to find c:

180 (straight line) = 112 + c

c = 180 - 112

c = 68°

now we have

180 (triangle) = a + 68 + 51

to find a:

a = 180 - (68 + 51)

a = 180 - 119

a = 61°

to find b:

180 (straight line) = 61 + b

b = 180 - 61

b = 119°

Answer:

1. -2y

2.13x

3. 8d-3c

4. 8r+(-6s)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

first 3-2=1 the divide 90 by 3 then add the 1 the subtract that by 20 and you will get 11

The result of the expression 90 divided by 3 plus the quantity (3 minus 2) minus 20 is 11.

To evaluate the expression 90 divided by 3 + (3 - 2) - 20, we can follow the order of operations (also known as PEMDAS/BODMAS), which stands for Parentheses/Brackets, Order/Exponents, Division/Multiplication, and Addition/Subtraction:

First, let's simplify the expression within the parentheses:

3 - 2 = 1

Now we can substitute the simplified expression back into the main expression:

90 ÷ 3 + 1 - 20

Next, perform the division:

90 ÷ 3 = 30

Now we have:

30 + 1 - 20

Next, perform the addition:

30 + 1 = 31

Finally, perform the subtraction:

31 - 20 = 11

Therefore, the value of the expression 90 divided by 3 + (3 - 2) - 20 is 11.

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