Given vectors: p=2i-j, q=-i+j
find: 1. p+q
2.p-q
3. 2p-3q

Answer:

total surface area  = 298.45105 m2

lateral surface area = 141.37155 m2

top surface area = 78.53975 m2

bottom surface area = 78.53975 m2

Step-by-step explanation:

Joanna will need approximately 298.3 square inches of frosting to cover the entire cake.

To calculate the amount of frosting Joanna will need for the entire cake, we first need to find the surface area of the cylindrical cake.

The formula for the surface area of a cylinder is given by:

Surface Area = 2πr² + 2πrh

Where r is the radius of the base and h is the height of the cylinder.

Given that the diameter of the cake is 10 inches, we can find the radius by dividing it by 2: r = 10/2 = 5 inches.

Plugging in the values, we have:

Surface Area = 2π(5)² + 2π(5)(4.5)

Simplifying the equation:

Surface Area = 2π(25) + 2π(22.5)

Surface Area = 50π + 45π

Surface Area = 95π

To find the actual numerical value, we can approximate π as 3.14:

Surface Area ≈ 95 * 3.14

Surface Area ≈ 298.3 square inches

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Answer:

B

Step-by-step explanation:

-13-7=-20

Check:

13+7=20

The correct answer is B.

Answer:

2x+5 is the expression

Answer:

The expression is 2x + 5

Answer:

Just do 12x+7 and 5x-1 divide that answer by 57 that seems easy and i am in 6th grade

Step-by-step explanation:

if this is not right i dont know what is

Answer:

Angle WST = 91°

Step-by-step explanation:

The first step in this situation is to find Angle TSU. Then find x, which is 7, which can be put into the equation shown for Angle WST.

Answer:

no

Step-by-step explanation:

11+11<25

The sum of 11 and 11 is less than 25 and therefore, this triangle is not possible.

The numerical value of each expression,

a. cosh(ln(5)) = 2.50258.

b. cosh(5) = 74.20995.

(a) Using the identity cosh(x) = (\(e^x\) + \(e^{(-x)}\))/2 and substituting x = ln(5), we get:

To find cosh(ln(5)), we first evaluate ln(5) which is approximately equal to 1.60944.

cosh(ln(5)) = (\(e^{(ln(5)}\)) + \(e^{(-ln(5)}\)))/2

= (5 + 1/5)/2

= 2.50258

Therefore, cosh(ln(5)) = 2.50258 (rounded to five decimal places).

(b) Using the identity cosh(x) = (\(e^x\) + \(e^{(-x)}\))/2 and substituting x = 5, we get:

cosh(5) = (\(e^5\) + \(e^{(-5)}\))/2

= (148.41316 + 0.00674)/2

= 74.20995

Therefore, cosh(5) = 74.20995 (rounded to five decimal places).

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Step-by-step explanation:

a x^2/4

b -x^2/4+3

c 4x^2

d -x^2

Answer:

Julia had 120 peas to start .

Answer:

  120 peas

Step-by-step explanation:

Before Julia gave Vlada 15 peas, the ratio of their numbers was 3:2. Afterward, Julia still had 10 more peas. You want to know the number Julia started with.

Let j represent the initial number of peas Julia had. Then Vlada had 2/3j peas. After the transfer, the difference was ...

  (j -15) -(2/3j +15) = 10

  1/3j -30 = 10

  1/3j = 40

  j = 120

Julia had 120 peas at first.

__

Additional comment

The transfer of peas decreases the difference by 30, so if it remains 10 it must have originally been 40. The difference in initial ratio units is 3-2 = 1, so Julia's initial 3 ratio units represent 3·40 = 120 peas.

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Answer:

D (3,4,6)

Step-by-step explanation:

I took thee test

The maximum number of values that can be stored in this array is 30.

If an array is declared with a size of [5,6], it indicates a two-dimensional array with 5 rows and 6 columns.

To determine the maximum number of values that can be stored in this array, we need to multiply the number of rows by the number of columns.

In this case, the maximum number of values that can be stored in the array is:

5 (rows)  6 (columns) = 30

In this case, there are 5 rows and 6 columns, so the maximum number of values that can be stored is the product of these two numbers: 5 x 6 = 30.

The array can hold a total of 30 values.

Each element in the array represents a storage location, and by multiplying the number of rows and columns, we obtain the total capacity of the array.

Therefore,  the maximum number of values that can be stored in this array is 30.

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In observational studies, the variable of interest is controlled.

Hence option c is correct.

Observational study is defined as a type of study where the individuals are observed and / or certain outcomes are measured from it. No further efforts are made to influence the outcome.

Variable of interest in observational study is referred to a changing quantity that is measured for the purpose of study.

The variable of interest in observational studies are controlled in order that the data can be obtained about the way the factors influence another variable which is referred to as the response variable, or in simple words to understand the response.

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Answer:

L = 3 1/3 feet

Step-by-step explanation:

A = length × width

now let's change all the mixed numbers into improper fractions:

35/6 = 7/4 × L

we must divide each side by 7/4

35/6 ÷ 7/4 is the same as 35/6 × 4/7 = 20/6 or 3 1/3

Answer:

7p

Step-by-step explanation:

Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.

Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!

The number of hours to work to pay for the new computer is 111 hours

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The cost difference between the new and refurbished computer is $800.00 - $640.00 = $160.00. This means that you would save $160.00 by buying the refurbished computer instead of the new one.

Let's say you work for "x" hours, then your gross pay will be:

A = 10x dollars

Your FICA deduction will be 7.65% of your gross pay:

0.0765 ( 10x ) = 0.765x dollars

Your federal tax withholding will be 12% of your gross pay:

0.12 ( 10x ) = 1.2x dollars

Your state tax withholding will be 8% of your gross pay:

0.08 ( 10x ) = 0.8x dollars

The total amount of taxes that will be deducted from your paycheck is the sum of these three amounts:

0.765x + 1.2x + 0.8x = 2.765x dollars

So your net pay will be:

10x - 2.765x = 7.235x dollars

On simplifying the equation , we get

Now, we can calculate the number of hours you would need to work to pay for the new computer:

800 = 7.235x

x ≈ 110.5 hours

Hence , the number of hours is x = 111 hours

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The value of side length w is 13.75 .

Given right angled triangle,

Perpendicular = w

Hypotenuse = 17

Angle of triangle = 54°

So,

According to the trigonometric ratios,

tanФ = p/b

cosФ = b/h

sinФ = p/h

By using sinФ,

sinФ = p/h

sin 54° =  w/ 17

0.809 = w/17

w = 13.75 .

Thus after correction w will be 13.75

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Answer:

$1.60

Step-by-step explanation:

20% of $8.00 is actually 0.20 x 8

0.20 x 8 = 1.60

Answer:

$1.60

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 20%) by 100%.So, the conversational term "20%" becomes 20% / 100% = 0.20

Second, you need to find out what 20% of your $8.00 meal cost is.This is always done by multiplying 0.20 by $8.00, or

0.20 x $8.00=$1.60.

So, the amount of tip you are going to leave is $1.60.

Answer:

Step-by-step explanation: whats this

Answer:

3+5(n-1)

Step-by-step explanation:

first term (a)=3

common difference (d)=5

they an=a+(n-1)d

=>3+(n-1)5

=>3+5(n-1)

Answer:

23 children and 9 adults

p <= 70/9

Step-by-step explanation:

Let x = # of adults and y = # of children. The number of children is 5 more than twice the number of adults, so x = 2y + 5. The total cost of entrance is $6525, so 225x + 150y = 6525.

x = 2y + 5

225x + 150y = 6525

x - 2y = 5

225x + 150y = 6525

75x - 150y = 375

225x + 150y = 6525

300x = 6900

x = 23

x = 2y + 5

23 = 2y + 5

18 = 2y

y = 9

225p + 3750 <= 5500

225p <= 1750

p <= 70/9

Northern Dancer will take 2 2/5 minutes to run the Belmont stakes

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

2 minutes / (1 1/4 miles) = x / (1 1/2 miles)

We transform the mixed fractions into improper fractions and we have:

1 1/4 =

[(4*1)+1])/ 4=

(4+1) / 4 =

5/4

1 1/2 =

[(2*1)+1] / 2 =

(2+1) / 2 =

3/2

Substituting and clearing the value we get:

2 minutes /5/4 miles = x / 3/2 miles

8/5 = 2x/3

2x = 8/5 * 3

2x = 24/5

x = 24/5 / 2

x = 24/10

x = 12/5 = 2 2/5 minutes

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Correctly written question:

A Horse named Northern dancer won the Kentucky derby with a time of exactly 2 minutes. At this rate, how long would it take Northern dancer to run the Belmont stakes? The Kentucky Derby is  1 1/4 miles in the Belmont stakes is 1 1/2 miles.

Answer:

Step-by-step explanation:

a+4/5=11/2

 -4/5.   -4/5

_____.  _____

a= 11/2 *5/5. = 55/10

     -4/5 * 2/2.  -8/10

 ______________

a= 47/10

Answer:

its gonna be 22.20

Step-by-step explanation:

Because you like to divide the first number and multiply it by the second

Answer:

-1.5

Step-by-step explanation:

h(-1/2)=2 \((\frac{-1}{2})^{2}\) -2

h(-1/2)= \(\frac{1}{2} -2\\\)

h(-1/2)=-1.5

Based on the study by Newell and Simon, the experts remembered more figures on both game and random boards compared to novices.

The performance of experts was superior in recalling figure positions from the game, while their performance on random boards was equally as good. This suggests that their expertise in chess allowed them to have a better memory and recall of specific figure positions. On the other hand, novices remembered more figure positions in the random boards, indicating that their memory was more influenced by randomness rather than specific patterns or strategies observed in the game. Therefore, the experts' superior memory for figure positions in both game and random scenarios highlights their higher level of expertise and understanding in chess.

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Answer:

x = 4

Step-by-step explanation:

RT = RS + ST

RT = 36

RS + ST = 36

6x + 1  + x + 7 = 36

6x + x + 1 + 7 = 36  {Combine like terms}

7x + 8 = 36   {Subtract 8 from both sides}

7x + 8 - 8 = 36 - 8

7x = 28   {Divide both sides by 7}

7x/7 = 28/7

x = 4

Answer:

C

Step-by-step explanation:

Look at the graph when y=5. It is a straight line that goes through 0,5 horizontally.

it crosses the y-axis at (0,5) only.

The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.

We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.

If angles QRP and PSQ are supplementary, their sum is 180°:

(2x + 20)° + 30° = 180°

Now, we can solve for x:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide by 2:

x = 65

After rounding to three decimal places, the margin of error for a 99% confidence interval for the population mean is 1.373 dollars.

To find the margin of error for a 99% confidence interval for the population mean, we'll follow these steps:

1. Find the critical value (z-score) for a 99% confidence interval. You can use a z-table or an online calculator. For a 99% confidence interval, the critical value is approximately 2.576.

2. Find the standard deviation of the sample. The problem states that the population standard deviation is 2.5 dollars.

3. Calculate the standard error by dividing the standard deviation by the square root of the sample size:
Standard Error = (Standard Deviation) / sqrt(Sample Size)
Standard Error = \(2.5 / \sqrt{22}\)
Standard Error ≈ 0.533

4. Multiply the critical value by the standard error to find the margin of error:
Margin of Error = Critical Value * Standard Error
Margin of Error = 2.576 * 0.533
Margin of Error ≈ 1.373

After rounding to three decimal places, the margin of error for a 99% confidence interval for the population mean is 1.373 dollars.

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Rounding to three decimal places, the margin of error is 1.911 dollars.

The margin of error for a 99% confidence interval for the population mean can be calculated using the following formula:

\(Margin of error = z\times (sigma / sqrt(n))\)

where:

z = the critical value of the standard normal distribution for a 99% confidence level, which is 2.576

sigma = the population standard deviation, which is 2.5 dollars

n = the sample size, which is 22

sqrt = the square root function

Plugging in the values, we get:

\(Margin of error = 2.576 \times (2.5 / \sqrt(22)) = 1.911\)

99% confident that the true population mean of adult entrance fees to amusement parks in the United States is within 1.911 dollars of the sample mean of 61 dollars.

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