Andjela has 16 hours of her community service left. She completes 2/5 of the 16 hours at the library. She completes 1/3 of the 16 hours tutoring math. How many hours does she have left? Answer as an improper fraction then convert to a mixed number.

Answer:

88

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The height here is 11 and the base is 16

1/2*16*11 = 88 units square

The triangle that has the coordinates as A(0,-4) B(0,-9) C(-2,-5) is; A scalene Triangle

The formula for the distance between two coordinates is;

D = √[(y₂ - y₁)² + (x₂ - x₁)²]

Thus;

Distance AB = √[(-9 + 4)² + (0 - 0)²]

Distance AB = √25

Distance AB = 5

Distance BC = √[(-5 + 9)² + (-2 - 0)²]

Distance BC = √20

Distance CA = √[(-4 + 5)² + (-2 - 0)²]

Distance CA = √5

Since the three sides all have different lengths, then they the triangle is said to be a scalene triangle.

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Hi student, let me help you out! :)

. . . . . . . . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to multiply 16 times 1/4.

To do that, we should first turn 16 into a fraction by giving it a denominator of 1:

\(\mathtt{\cfrac{16}{1}}\)

Now, we multiply this fraction times 1/4; follow these three steps:

1. Multiply the numerator of the first fraction times the numerator of the second fraction:

16*1=16

2. Do the exact same thing with the denominator:

1*4=4

The fraction is:

\(\mathtt{\cfrac{16}{4}}\)

Upon reducing the fraction, we get 4.

Hope it helps you out! :D

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Answer:

4

Step-by-step explanation:

16 × 1 / 4 =

4

Answer:

7xy-8yz+3x-4x+8yz

7xy-8yz+8yz+3x-4x

7xy-x

Step-by-step explanation:

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

The amount you will have saved after 4 years with a monthly savings is B. $15,587.88.

To calculate the amount you will have saved after 4 years with a monthly savings of $300 and an annual interest rate of 4% APR, we can use the formula for compound interest.

First, we need to convert the APR to a monthly interest rate by dividing it by 12. So the monthly interest rate is (4% / 12) = 0.3333%.

Next, we calculate the future value of the savings using the formula:

Future Value = P(1 + r)^n - 1 / r

where P is the monthly savings amount, r is the monthly interest rate, and n is the number of months.

Plugging in the values:

Future Value = 300(1 + 0.003333)^48 - 1 / 0.003333

Calculating this expression, we get approximately $15,587.88.

Therefore, The correct answer is B. $15,587.88.

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The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

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Answer:

A, B

Step-by-step explanation:

Los términos están separados por +, -, / o x.

Answer:

Dip shunnnnnnnnnnnnnn

Step-by-step explanation:

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Answer:

16 19/50

Step-by-step explanation:

first make improper fractions of both 3 9/10 and 4 1/5

mutltiply the denomiator (the number on the bottom) by the whole number, add the numerator (the number on the top) and put that number over the denomiator. 3 9/10 = 39/10 and 4 1/5 = 21/5. Multiply the improper fractions. numerator x numerator and write that on the top with a line under it. Multiply the denomiators and write that on the bottom. 39*21= 819. 10*5=50. your number would be 819/50. Then divide 819 by 50. You get 16 19/50

9514 1404 393

Answer:

  a) y = (x -4)² -4

  b) (4, -4)

  c) translated 4 right, 4 down

Step-by-step explanation:

a) Apparently "graphing form" is a reference to "vertex form." That form is ...

  y = a(x -h)² +k . . . . . . parabola with vertex (h, k) and vertical scale factor 'a'

The coefficient of x² in your given equation is 1, so a=1. The values of h and k can be found as follows.

'h' is the opposite of half the x-coefficient in your equation, so is h = -(-8/2) = 4. The value of k is the square of h, subtracted from the constant in your equation: k = 12 -h² = 12 -16 = -4. (This applies when a=1, as here.) These calculations are the "cut to the chase" version of "completing the square."

The method of "completing the square" has you consider the x-terms separately from the constant term:

  y = (x² -8x) +12

To "complete the square", you want to make the terms in parentheses be a perfect square trinomial. You do that by adding the square of half the x-coefficient. In order to keep the same equation, you need to subtract an equivalent amount outside parentheses:

  y = (x² -8x +(-8/2)²) +12 -(-8/2)² . . . . . add and subtract (-8/2)²

  y = (x -4)² +(12 -16)

Then the vertex form is ...

 y = (x -4)² -4 . . . . and the vertex is (h, k) = (4, -4).

The graphing calculator plot attached confirms this vertex value.

__

The problem statement tells you that you can also find this form by averaging the x-intercepts. If you factor your equation, you get ...

  y = (x -6)(x -2)

The x-values that make these factors zero {6, 2} are the x-intercepts. Their average (6+2)/2 = 4 is the x-coordinate of the vertex (h). You can find the y-coordinate of the vertex by evaluating y when x=4: y = 4² -8·4 +12 = -4. So, the vertex by this method is (h, k) = (4, -4), and the equation in graphing form is ...

  y = (x -4)² -4 . . . . as above.

__

b) As we saw above, the vertex coordinates are (h, k) = (4, -4).

__

c) The vertical scale factor 'a' is 1, so the only transformation done on the graph is to move the parent vertex (0, 0) to the location (4, -4). That is, the graph has been translated 4 units right and 4 units down. (In the attached, the parent function is shown with a dashed line.)

Answer:

D=22-90+22d/7

Step-by-step explanation:

D=22/7×d-90

D=-90+22d/7

One quarter pound is equal to 4 ounces.  A quarter pound is a unit of weight commonly used in cooking and food preparation.

To convert from quarter pounds to ounces, simply multiply the number of quarter pounds by 4.

For example, if you have 2 quarter pounds of cheese, the equivalent weight in ounces would be 2 x 4 = 8 ounces.

It's important to note that the pound is a unit of weight commonly used in the United States and some other countries, while in other countries such as the UK and Canada, the metric system is more widely used, with weight typically measured in grams or kilograms.

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The given polynomial -10u^5 - 4 - 20u + 8u^7 has a leading coefficient of 8 and a degree of 7.

The leading coefficient is the coefficient of the term with the highest degree, while the degree is the highest exponent of the variable in the polynomial.

To determine the leading coefficient and degree of the polynomial -10u^5 - 4 - 20u + 8u^7, we examine the terms with the highest degree. The term with the highest degree is 8u^7, which has a coefficient of 8. Therefore, the leading coefficient of the polynomial is 8.

The degree of a polynomial is determined by the highest exponent of the variable. In this case, the highest exponent is 7 in the term 8u^7. Therefore, the degree of the polynomial is 7.

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Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

The probability that a data value is less than two standard deviations from the mean is 95.45%.

In a normal distribution, approximately 68% of the data values fall within one standard deviation from the mean. This means that about 68% of the data values lie between the mean minus one standard deviation and the mean plus one standard deviation.

If we extend this to two standard deviations from the mean, we find that approximately 95.45% of the data values fall within two standard deviations from the mean. This means that about 95.45% of the data values lie between the mean minus two standard deviations and the mean plus two standard deviations.

Therefore, the probability that a data value is less than two standard deviations from the mean is 95.45%.

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The probability that a data value is less than two standard deviations from the mean is 95.45%.

In a normal distribution, approximately 68% of the data values fall within one standard deviation from the mean. This means that about 68% of the data values lie between the mean minus one standard deviation and the mean plus one standard deviation.

If we extend this to two standard deviations from the mean, we find that approximately 95.45% of the data values fall within two standard deviations from the mean. This means that about 95.45% of the data values lie between the mean minus two standard deviations and the mean plus two standard deviations.

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The largest interval I over which the solution is defined is (-∞, ∞).               I = (-∞, ∞)

To solve the given initial-value problem, we can use the method of separation of variables as follows:
1. Separate the variables by moving all terms with y to the left side of the equation and all terms with x to the right side:
y/y' = ex/x
2. Integrate both sides of the equation with respect to their respective variables:
∫y/y' dy = ∫ex/x d
ln(y) = ex + C
3. Solve for y:
y = e^(ex + C)
4. Use the initial condition y(1) = 9 to find the value of C:
9 = e^(e + C)
C = ln(9) - e
5. Substitute the value of C back into the equation for y:
y = e^(ex + ln(9) - e)
6. Simplify the equation:
y = 9e^(ex - e)
7. The largest interval I over which the solution is defined is (-∞, ∞), since there are no restrictions on the values of x or y therefore, the solution to the initial-value problem is y(x) = 9e^(ex - e) and the largest interval I over which the solution is defined is (-∞, ∞).

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Answer:

I believe that it is b

Step-by-step explanation:

But correct me if i am wrong! Have a nice day!

Answer:

B. ) 3 over 4 and space 5 over 7

Step-by-step explanation:

Answer:

A. x = -3 ±√10

Step-by-step explanation:

ax² + bx = c

4x² + 24x = 4

The first step is to divide each term by 4 so you have a coefficient of 1 for x².

4(x² + 6x) = 4

Now, you want to divide the b term (6) by 2.

6/2 = 3

Square this quotient.

3² = 9

Because you have a 4 outside of the parentheses, before you add 9, you want to multiply it by 4.

9 • 4 = 36

4(x² + 6x + 9) = 4 + 36

Now, simplify the parentheses. You can use the factoring X, but a shortcut is to use the quotient you found from b/2.

4(x + 3)² = 40

Now, you can divide both sides by 4.

(x + 3)² = 10

Take the square root.

x + 3 = ±√10

Subtract.

x = -3 ±√10

This is your answer.

Hope this helps!

1. (a) 50% of the data set is greater than 16.

(b) 68.26% of the data set falls between 10 and 22.

(c) 2.28% of the data set is greater than 28.

(d) 0.62% of the data set is less than 1.

(e) 66.87% of the data set falls between 4 and 19.

(f) 15.25% of the data set falls between 22 and 31.

2. the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.

3. approximately 2.28% of the bottles would be expected to have less than 58 ounces.

(a) Since the variable is normally distributed with a mean of 16 and a standard deviation of 6, we can use the Z-score formula:

Z = (X - μ) / σ

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

X = 16, μ = 16, and σ = 6.

Z = (16 - 16) / 6 = 0

The Z-score of 0 corresponds to the mean of the distribution. To find the area to the right of 16, we can look up the Z-score of 0 in the standard normal distribution table, which gives us a value of 0.5000. However, since we want the area to the right, we subtract this value from 1:

1 - 0.5000 = 0.5000

Therefore, 50% of the data set is greater than 16.

(b) To find the percent of the data set that falls between 10 and 22, we can calculate the area under the normal distribution curve between these two values.

Z₁ = (10 - 16) / 6 = -1.00

Z₂ = (22 - 16) / 6 = 1.00

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -1.00 is 0.1587 and the area to the left of Z = 1.00 is 0.8413. To find the area between these two Z-scores, we subtract the smaller area from the larger area:

0.8413 - 0.1587 = 0.6826

Therefore, 68.26% of the data set falls between 10 and 22.

(c) To find the percent of the data set that is greater than 28

Z = (28 - 16) / 6 = 2.00

Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = 2.00 is 0.9772. Since we want the area to the right, we subtract this value from 1:

1 - 0.9772 = 0.0228

Therefore, 2.28% of the data set is greater than 28.

(d) To find the percent of the data set that is less than 1

Z = (1 - 16) / 6 = -2.50

Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = -2.50 is 0.0062. Therefore, 0.62% of the data set is less than 1.

(e) To find the percent of the data set that falls between 4 and 19

Z₁ = (4 - 16) / 6 = -2.00

Z₂ = (19 - 16) / 6 = 0.50

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -2.00 is 0.0228 and the area to the left of Z = 0.50 is 0.6915. Subtracting the smaller area from the larger area:

0.6915 - 0.0228 = 0.6687

Therefore, 66.87% of the data set falls between 4 and 19.

(f) To find the percent of the data set that falls between 22 and 31

Z₁ = (22 - 16) / 6 = 1.00

Z₂ = (31 - 16) / 6 = 2.50

Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = 1.00 is 0.8413 and the area to the left of Z = 2.50 is 0.9938. Subtracting the smaller area from the larger area:

0.9938 - 0.8413 = 0.1525

Therefore, 15.25% of the data set falls between 22 and 31.

2. For the weights of Siamese cats, which are normally distributed with a mean of 6.4 pounds and a standard deviation of 0.8 pounds, we want to find the number of cats that have weights between 5.2 and 7.6 pounds.

Z₁ = (5.2 - 6.4) / 0.8 = -1.5

Z₂ = (7.6 - 6.4) / 0.8 = 1.5

The area to the left of Z = -1.5 is 0.0668, and the area to the left of Z = 1.5 is 0.9332. To find the area between these two Z-scores, we subtract the smaller area from the larger area:

0.9332 - 0.0668 = 0.8664

This means that 86.64% of Siamese cats are expected to have weights between 5.2 and 7.6 pounds.

To find the number of cats in a sample of 128 cats, we can multiply the percent by the total number of cats:

0.8664 * 128 = 110.87

Rounding to the nearest whole number, the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.

3. For one quart bottles of apple juice with weights normally distributed with a mean of 64 ounces and a standard deviation of 3 ounces, we want to find the percent of bottles that would be expected to have less than 58 ounces.

To calculate this, we can convert the weight of 58 ounces to a Z-score:

Z = (58 - 64) / 3 = -2

Looking up the Z-score of -2 in the standard normal distribution table, we find that the area to the left of Z = -2 is 0.0228. Therefore, approximately 2.28% of the bottles would be expected to have less than 58 ounces.

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Answer:

Read Expl.

Step-by-step explanation:

To go from a length to the surface area, you can do 6\(l^{2}\)

So you can backtrack, you can do 294/6 which is 49

\(\sqrt{49}\) is what you can do next and that will get you 7.

To cancel the account, contact customer support and provide necessary details. Verify ownership, request cancellation, follow instructions, and keep confirmation of cancellation.

1. Contact customer support: Reach out to the customer support team of the service provider through their official channels. Look for their contact information on their website or in the account settings section.

2. Provide necessary details: When contacting customer support, explain the situation and provide any required information, such as the account username, email address, or any other identifying details associated with the account.

3. Verify ownership: The customer support team may ask for verification to ensure that you are the rightful owner of the account. Be prepared to provide any necessary documents or proof of ownership.

4. Request cancellation: Clearly state your intention to cancel the account and ask the customer support representative to assist you with the process. They will guide you through the necessary steps to close the account.

5. Follow instructions: Carefully follow any instructions provided by the customer support representative to complete the cancellation process. This may involve confirming your decision through an email or clicking on a cancellation link.

6. Confirmation of cancellation: After completing the cancellation steps, you should receive a confirmation email or notification from the service provider indicating that the account has been successfully canceled. Keep this confirmation for future reference.

Remember to keep any relevant documentation or communication related to the cancellation process in case you need it for reference or to resolve any potential issues that may arise.

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Answer:

Step-by-step explanation:

5/15=y/21

y=7

6/x=5/15

x=18

ANSWER

C PO SANA MAKATULONG PO YAN

Answer:

D

Step-by-step explanation:

Of these four functions, D is the only one that has an inverse.  The graph of D, which is F(x) = x + 3/7, passes the horizontal line test; the horizontal line intersects the graph of F(x) = x + 3/7 only once.

The rule of the volume of the hemisphere is

r is the radius of it

Since the diameter of the hemisphere is double the radius, then we can find the radius then multiply it by 2 to find it

Since the volume of the hemisphere is 841 cm^3, then

Substitute V by 841

Divide both sides by 2/3pi

Take cube root to both sides

Multiply it by 2 to find the diameter, then round it to the nearest tenth

The diameter of the hemisphere is 14.8 cm