A ball is thrown from an initial height of 2 feet with an initial upward velocity of 23 ft/s. The ball's height h (in feet) after t seconds is given by the following: h= 2+23t-16t^2. Find all values of t for which the ball's height is 10 feet.

The volume of a cylinder whose diameter measures 2.5 cm and has a height of 15.5 cm is equal to 76.10 cubic centimeters.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Note: Radius = diameter/2 = 2.5/2 = 1.25 cm.

By substituting the parameters, we have:

Volume of cylinder, V = 3.142 × 1.25² × 15.5

Volume of cylinder, V = 76.10 cubic centimeters.

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Complete Question:

Calculate the volume of a cylinder whose diameter measures 2.5 cm and has a height of 15.5 cm.

Answer:

13

Step-by-step explanation:

3n=12+1=13

The total amount of acid in the final equation solution is 700% + 420% = 1120%, which is 40% of the total volume:

In arithmetic equations, the identical sign (=) is used to denote the equivalence of two assertions. It is demonstrated that using mathematical methods, which have acted as manifestations of reality, it is feasible to compare different numerical factors. For fact, the equal sign splits the number 12 into two separate parts, even if the answer is y + 6 = 12. It is possible to determine how many letters are also present on either end of this character.

Here,

Let x be the number of liters of pure acid solution needed, and y be the number of liters of 20% acid solution needed to make 28 liters of a 40% acid solution.

x + y = 28 (total volume of the solution)

100x + 20y = 40(28) (total amount of acid in the solution)

Simplifying the second equation, we get:

100x + 20y = 1120

Dividing both sides by 20, we get:

5x + y = 56

Now we can solve the system of equations by substitution or elimination. Here we will use the substitution method.

Solving the first equation for y, we get:

y = 28 - x

Substituting this expression for y into the second equation, we get:

5x + (28 - x) = 56

Simplifying and solving for x, we get:

4x = 28

x = 7

So the technician needs 7 liters of pure acid solution and 21 liters of 20% acid solution to make 28 liters of a 40% acid solution.

To check this answer, we can calculate the amount of acid in each solution and verify that the total amount of acid in the final solution is indeed 40%.

7 liters of pure acid solution contain 7 × 100% = 700% acid.

21 liters of 20% acid solution contain 21 × 20% = 420% acid.

The total amount of acid in the final solution is 700% + 420% = 1120%, which is 40% of the total volume:

1120% ÷ 28 liters = 40%

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Answer:

5 6/7

Step-by-step explanation:

how many times does 7 go onto 41?

7 x 5 = 35

remainder is 6 so;

5 6/7

Hey there!

41/7

= (5 * 7 + 6)/7

= (5 * 7)/7 + 6/7

= 5 6/7

= 5 6/7 ≈ 41/7

Therefore, your answer is: 5 6/7

Good luck on your assignment and enjoy your day’

~Amphitrite1040:)

Answer:

159

Step-by-step explanation:

by expansion and simplifying:

100+64-5=159

Answer:

159

Step-by-step explanation:

You need to remember BIDMAS

B - brackets

I - indecieas 4 to the power of 5 for example

D - divide

M - multiply

A - add

S - subtract

Its the order in which you have to do everything.

So first do the brackets

3 + 5 = 8 and then do the indecies so 8 squared = 64

then do 10 cubed which is 100

for the moment we have 100 + 64 - 5

so the answer is 159

Hope this helps :D

Answer:

−2y^2+2y+18

Step-by-step explanation:

the ^ means squared and I would show the steps but I'm just tired rn to do so. hope I was correct

Answer:

x=-2, y=3

Step-by-step explanation:

make it easy first, solve for x in the second equation: x= -5+y.

then sub that in for the other x: 2(-5+y)+y= -1

now combine like terms: -10+3y= -1

solve for y: 3y=9, y= 3

then replace y for your second equation: x-3= -5

solve for x= -5+3.... so then its -2

check by replacing all variables with your new solutions:

2(-2), which is -4+3 does equal -1

(-2) -3 does equal -5.

your answers are x=-2, y=3

Answer:

10

Step-by-step explanation:

HCF of 20, 40 & 50:

20: 1, 2, 4, 5, 10, 20

40: 1, 2, 4, 5, 8, 10, 20, 40

50: 1, 2, 5, 10, 25, 50

HCF: 10

Topic: HCF and LCM

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

In Data Set A mean , standard deviation are better measure of center as they give more information about the center of  data.

In Data Set B mean , standard deviation are better measure of center as they give more information about thecenter of data.

Step-by-step explanation:

Data Set A           Data Set B

1                                   3

3                                   5

3                                   5

2                                   4

4                                    6

0                                    1

4                                     6

3                                     6

3                                      6

5                                      6

2                                     5

Mean of Set A= 1+3+3+2+4+0+4+3+3+5+2/ 11= 30/11= 2.7272

Median of Set A= 0,1,2,2,3,3 ,3,3,4,4,5

Median   ( the middle value)=3

Mode( the repeated value)= 3

Quartiles

1st Quartile= n/4 value= 30/4= 7.5 which lies between 4th and 5th value

3rd quartile= 3n/4= 90/4= 22.5 which lies between 10 th and 11th value

Range= highest value- lowest value= 5-0=5

Standard Deviation = 1.354

In this mean ,median, mode and standard deviation are better measure of center as they give more information about the data.

The range and quartiles are better measure of spread.

Mean of Set B= 3+5+5+4+6+1+6+6+6+6+5/11=53/11=4.81818

Median of Set B= 1,3,4,5,5,5,6,6,6,6,6

Median ( the middle value)= 5

Mode ( the repeated value)= 6

Quartiles

1st Quartile= n/4 value= 53/4= 13.25 which lies between 4th and 5th value

3rd quartile= 3n/4= 159/4= 39.75 which lies between 9 th and 10 th value

Range= highest value- lowest value=6-1= 5

Standard Deviation= 1.5266

In this mean , standard deviation are better measure of center as they give more information about the data.

The median mode quartiles and range are better measure of spread.

A smaller standard deviation indicates that most of the observations are close to the mean while a large value implies that the observations are scattered widely about the mean.

The quartiles must be having values near 25% and 75% of the data.

The center gives a value which is located around the center

Mean: It gives the  average value.

Median:It is the  middle value when data is ordered from least to greatest.

The spread gives the value showing where the data may variate.

Range: Total spread is given by the range.

Standard deviation: How far a data point is from the mean.

Answer:

3.34.

Step-by-step explanation:

4.2 * 0.2 + 2.5

= 0.84 + 2.5

= 3.34.

Answer:

3.34

Step-by-step explanation:

the product is 4.2×0.2=0.84

add is 2.5 + 0.84=3.34

The simplified form of the expression 13 + 11( -15m + 14 ) is 167 - 165m .

Given the expression in the question;

13 + 11( -15m + 14 )

First, we simplify each term.

13 + 11( -15m + 14 )

Apply distributive property

13 + 11 × -15m + 11 × 14

Multiply 11 and -15m

13 - 165m + 11 × 14

Multiply 11 and 14

13 - 165m + 154

Now, collect and add like terms

13 + 154 - 165m

Add 13 and 154

167 - 165m

Therefore, the simplified form is 167 - 165m.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

You need to put the link on which is like the paper clip before you post.

Step-by-step explanation:

The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

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Answer:

7

Step-by-step explanation:

the ratio of [pennies to dimes is 7:3.... 7 represents pennies and 3 dimes

By the given ratio, Number of pennies does Jamey have are 7.

"A ratio compares values. A ratio says how much of one thing there is compared to another thing."

According to the question

Jamey has 4 quarters, some dimes, and some pennies.

Ratio of quarters to dimes is 8:6

So, \(\frac{4}{d}=\frac{8}{6}\)

⇒ \(8d = 6(4)\)

⇒ \(d=\frac{6}{2}\)

⇒ \(d=3\)

Ratio of pennies to dimes is 7 : 3

So, \(\frac{p}{d}=\frac{7}{3}\)

By substituting d = 3

⇒ \(\frac{p}{3}=\frac{7}{3}\)

⇒ \(p = \frac{7}{3}(3)\)

⇒ \(p =7\)

Hence, number of pennies does Jamey have are 7.

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Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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Answer:

5/7 is a fraction, not a whole number.

Answer:

The set M of all square numbers less than 80 is:

M = {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set N of all non-negative even numbers that are under 30 is:

N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Answer:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Step-by-step explanation:

A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.

The square numbers less than 80 are:

An even number is an integer that is divisible by 2 without leaving a remainder.

The non-negative even numbers that are under 30 are:

Therefore:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

is the puppy weighs 56 ounces then it weighs 3.5 pounds

This can be solved by finding the probability and using the Bayes' theorem. However, there is a 34.7% chance that Sarina will go to the store on Saturday, and a 65.3% chance that she will not. If it rains on Saturday, there is a 10.3% chance that Sarina will go to the store, and if she doesn't go to the store, there is a 20.3% chance that it did not rain that day.

a. Tree Diagram

A tree diagram is a visual representation of the different possible outcomes of a sequence of events. Each branch represents an event, and the probability of that event is written above the branch. The branches that lead to the same final outcome are grouped together. For this scenario, we can start with the event of whether it rains or not, then branch out to whether Sarina goes to the store or not based on each possibility.

b. To find P(S), we need to use the law of total probability:

P(S) = P(R) * P(S | R) + P(R') * P(S | R')

    = 0.3 * 0.12 + 0.7 * 0.53

    = 0.347

So there is a 34.7% chance that Sarina will go to the store on Saturday.

c. P(S') is simply the complement of P(S):

P(S') = 1 - P(S)

    = 1 - 0.347

    = 0.653

So there is a 65.3% chance that Sarina will not go to the store on Saturday.

d. To find P(S | R), we can use Bayes' theorem:

P(S | R) = P(R | S) * P(S) / P(R)

        = P(R and S) / P(R)

        = 0.3 * 0.12 / 0.347

        = 0.103

So if it rains, there is a 10.3% chance that Sarina will go to the store on Saturday.

e. To find P(R' | S'), we can again use Bayes' theorem:

P(R' | S') = P(S' | R') * P(R') / P(S')

         = (1 - P(S | R')) * 0.7 / 0.653

         = (1 - 0.53) * 0.7 / 0.653

         = 0.203

So if Sarina does not go to the store on Saturday, there is a 20.3% chance that it did not rain that day.

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This problem is solved using a Poisson distribution. This is because we have an average number of events happening in a certain time frame. In this case, that time frame is 1 day.

In this case, the average is mu = 2, which is the number of tools rented per day.

What we need to do is find P(x = 0), P(x = 1) and P(x = 2) which represent the probabilities of renting x = 0, x = 1, and x = 2 tools out respectively. Once we know those three items, we add them up to get P(x <= 2). This is the probability of getting at most 2 requests.

-----------------------

Evaluate the probability when k = 0

P(x = k) = ( mu^k*e^(-mu) )/(k!)

P(x = k) = ( 2^k*e^(-2) )/(k!)

P(x = 0) = ( 2^0*e^(-2) )/(0!)

P(x = 0) = 0.135335

-----------------------

Repeat for k = 1

P(x = k) = ( 2^k*e^(-2) )/(k!)

P(x = 1) = ( 2^1*e^(-2) )/(1!)

P(x = 1) = 0.270671

-----------------------

Repeat for k = 2

P(x = k) = ( 2^k*e^(-2) )/(k!)

P(x = 2) = ( 2^2*e^(-2) )/(2!)

P(x = 2) = 0.270671

We get the same result because (2^1)/(1!) = (2^2)/(2!)

-----------------------

Now add up those three results

P(x <= 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x <= 2) = 0.135335 + 0.270671 + 0.270671

P(x <= 2) = 0.676677

The probability that the firm can meet demand is roughly 0.676677

Round this however you need to

Answer:

1872 cards

Step-by-step explanation:

1 cards=52

36×52

=1872 cards

Answer:

Step-by-step explanation:

X: -2, -1, 0, 1, 2,...

Y: -2, -1, 0, 1, 2,...

(y=x)

The boxes of programs she need, given that each box contains 35 programs is 7 boxes.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of boxes be b.

Heather needs 225 programs for the school play on Thursday. The number of boxes of programs will she need, given that each box contains 35 programs will be:

35b = 225

b = 225 / 35

b = 7

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Answer:

What Is X and Y

Step-by-step explanation:

Answer:

It is a linear equation.

Step-by-step explanation:

It has no squares in the equation, meaning the line is straight, therefore meaning the equation is linear.

Answer:

6/7

Step-by-step explanation:

36/42 = 36:6/42:6 = 6/7

Answer:

which is x here

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