A cannonball is fired in the air at an angle of 45∘. How far does it travel before it is
1,700 feet above ground? (Assume the cannonball travels in a straight line. Ignore the force of gravity and wind resistance. Give your answer to the nearest foot.)

Answer:

-1, 9, 1 i hope this is helpful

Answer:

associative, distributive, commutative

Step-by-step explanation:

Commutative is something just flipped around so the 3rd equation would be commutative. Associative is something with the same numbers but asked in a different way so 1st would be associative. Distributive is breaking the equation down and apart to make it easier to complete so the 2nd would be distributive.

hope this helped :)

- may i get brainliest

Answer:

2352

Step-by-step explanation:

(100 - 2) x 24 = 2400 - 48 = 2352

Answer:

$158.67

Step-by-step explanation:

Answer:

9?

Step-by-step explanation:

Answer:

sorry dont understaand

Step-by-step explanation:

Answer:

133 m^2

Step-by-step explanation:

to find are of a circle it’s r^2 times pi

6^2 x pi

36 pi

113 m^2

Hopes this helps please mark brainliest

Answer:

Answer C is correct

Step-by-step explanation:

The formula to find the area of a circle is:

A = πr²

Here,

r => radius = 6m

Let us find the area of the circle.

A = πr²

A = 3.14 × 6 × 6

A = 113.04 m²

Approx. = 113m²

Answer:

7^15

Step-by-step explanation:

7^5^3 = 7^(5*3) = 7^15

I suppose you mean

\(f(x) f(y) = f(x + y) + f(x - y)\)

Let \(x=1\) and \(y=0\). Then

\(f(1) f(0) = f(1 + 0) + f(1 - 0) \implies f(1) f(0) = 2 f(1) \implies f(0) = 2\)

Now if we fix \(y=1\), the functional equation reduces to the recurrence relation

\(f(x) f(1) = f(x + 1) + f(x - 1) \implies f(x+1) - 3f(x) + f(x-1) = 0\)

and we can find \(f(7)\) with a few rounds of substitution.

\(x=1 \implies f(2) - 3f(1) + f(0) = 0 \implies f(2) = 3f(1) - f(0) = 7\)

\(x=2 \implies f(3) - 3f(2) + f(1) = 0 \implies f(3) = 3f(2) - f(1) = 18\)

\(x=3 \implies f(4) - 3f(3) + f(2) = 0 \implies f(4) = 3f(3) - f(2) = 47\)

\(x=4 \implies f(5) - 3f(4) + f(3) = 0 \implies f(5) = 3f(4) - f(3) = 123\)

\(x=5 \implies f(6) - 3f(5) + f(4) = 0 \implies f(6) = 3f(5) - f(4) = 322\)

\(x=6 \implies f(7) - 3f(6) + f(5) = 0 \implies f(7) = 3f(6) - f(5) = \boxed{843}\)

Answer:

y = -2x + 8

Step-by-step explanation:

(−6, 20) and (0, 8)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(8 - 20) / (0 - (-6))

Simplify the parentheses.

= (-12) / (6)

Simplify the fraction.

-12/6

= -2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.

8 = -2(0) + b

To find b, multiply the slope and the input of x(0)

8 = 0 + b

b = 8

Plug this into your standard equation.

y = -2x + 8

This is your equation.

Check this by plugging in the other point you have not checked yet (-6, 20).

y = -2x + 8

20 = -2(-6) + 8

20 = 12 + 8

20 = 20

Your equation is correct.

Hope this helps!

Answer:

(16)(1)                          => identity property of multiplication

2(3+7) = 2(3) + 2(7)    => distributive property

(2+6) + 3 = 2+ (6+3)   => associative property

9+0 = 9                      => identity property of addition

8 x 4 = 4 x 8              => commutative property

Answer:30 on delta math!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Given statement solution is :- The manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

To determine if the manager will have enough funds to cover the nightly payroll for the next four weeks, we need to calculate the total cost for four weeks and compare it to the amount set aside.

The nightly payroll has a mean of $2200 and a standard deviation of $300. Since there are seven nights in a week, the weekly payroll can be calculated as:

Weekly Payroll = Nightly Payroll * Number of Nights in a Week

= $2200 * 7

= $15,400

To calculate the total cost for four weeks, we multiply the weekly payroll by four:

Total Cost for Four Weeks = Weekly Payroll * Number of Weeks

= $15,400 * 4

= $61,600

Now, let's calculate the z-score using the formula:

z = (X - μ) / σ

Where:

X = Total Cost for Four Weeks

μ = Mean of the distribution

σ = Standard deviation of the distribution

z = ($61,600 - $2200) / $300

z = $59,400 / $300

z ≈ 198

To determine if the manager will have enough funds to cover the payroll, we need to find the proportion of the distribution that is less than or equal to the z-score. This can be done by consulting a standard normal distribution table or using statistical software.

For a z-score of 198, the proportion in the tail of the distribution is essentially 1 (or 100%). This means that the manager is virtually guaranteed to have enough funds to cover the payroll for the next four weeks.

Since the manager has set aside $10,000, which is less than the calculated total cost of $61,600, he will indeed have enough funds to cover the payroll.

Therefore, the manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

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Answer:

H. C. F=12

Step-by-step explanation:

\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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$30

Work: 45+20=65

          65-35=30

Answer:

Below

Step-by-step explanation:

Line DE grows to 5 as you move to the midpoints of  BC  and AC....

   go the the other half of the way to the end AB and it grows another 5  for a total of 10

It is given that 2/5 of all patients admitted to ward 17.

Remining fraction is:

So 3/5 of patients admitted to ward 18.

Since 1/6 of all patients moved to another ward, and the reminder assigned as before, the initial fraction becomes:

Now, 3/5 of the new fraction, 5/6 is admitted to ward 18.

That is:

This is half of the patients.

The difference of the number of the patients admitted to ward 17 is the same fraction of the number of infected:

So the difference of patients is 4.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The problem statement gives two relations between numbers of servers and their total RAM. Those can be used to find the RAM each size server has.

__

Let L and S represent the number of GB of ram held by a large server and a small server, respectively.

  3L +2S = 96 . . . . . . total RAM when all are on-line

  2L +1S = 60 . . . . . . after loss of one server of each type

Subtracting the first equation from twice the second, we have ...

  2(2L +S) -(3L +2S) = 2(60) -(96)

  L = 24 . . . . . . . simplify

  S = 60 -2L = 60 -48 = 12 . . . . use the second equation to find S

A large server has 24GB of RAM; a small server has 12GB.

Answer:

The answer is $156

Step-by-step explanation:

So,

96/8 = 12

Now,

12 × 13 = 156

Thus, $156 cost to buy 96 ft of crown molding

-TheUnknownScientist 72

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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Answer:

the first one

Step-by-step explanation:

The problem says that the plot must have a maximum of 44, which means the most right dot must be on the 44 mark. All the graphs fit this requirement (the dashes are in increments of 2) The problem says that it must have an upper quartile of 39, which means the line closest to the maximum dot must be on the 39 mark. Graphs 2 and 3 do not meet this requirement, so they are eliminated. The last requirement is the median of 25. The median is represented by the middle line in the middle of the boxes. Graph 4 does not fit this requirement, so it is eliminated. Thus, only the first graph follows all 3 requirements.

The number of minutes Samantha needs to run on Friday to reach her goal is 45 minutes.

Average = (Monday + Tuesday + Wednesday + Thursday + Friday) / 5

40 = (45 + 30 + 55 + 25 + x) / 5

40 × 5 = 155 + x

200 = 155 + x

200 - 155 = x

45 = x

x = 45 minutes

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Answer:

1/5525

Step-by-step explanation:

We now that a standard deck has 52 different cards. Also we know that a standard deck has four different suits, i.e., Spades, Hearts, Diamonds and Clubs.  We can find the following cards for each suit: Ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King.

Now, the probability of getting any of these cards off the top of a standard deck of well-shuffled cards is 1/52. As we have 4 different sixes, we have that the probability of getting a six is 4/52. When we get a six, in the deck only remains 3 sixes and 51 cards, so, the probability of getting another six later is 3/51. When we get the second six, in the deck only remains 2 sixes and 50 cards, so, the probability of getting the third six is 2/50. As we have independet events, we should have that the probability of getting 3 sixes off the top of a standard deck of well-shuffled cards is

(4/52)(3/51)(2/50)=

24/132600=

12/66300=

6/33150=

3/16575=

1/5525

The required probability is 1/5525.

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

We now that a standard deck has 52 different cards.

Also we know that a standard deck has four different suits, i.e., Spades, Hearts, Diamonds and Clubs.  

We can find the following cards for each suit: Ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King.

Now, the probability of getting any of these cards off the top of a standard deck of well-shuffled cards is 1/52.

As we have 4 different sixes, we have that the probability of getting a six is 4/52.

When we get a six, in the deck only remains 3 sixes and 51 cards, so, the probability of getting another six later is 3/51.

When we get the second six, in the deck only remains 2 sixes and 50 cards, so, the probability of getting the third six is 2/50.

As we have independent events, we should have that the probability of getting 3 sixes off the top of a standard deck of well-shuffled cards is

= (4/52)(3/51)(2/50)

= 24/132600

= 12/66300

= 6/33150

= 3/16575

= 1/5525

Hence the required probability is 1/5525.

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Answer:

Step-by-step explanation:

Equation of the line has been given as,

\(y=\frac{3}{2}x-5\)

By comparing this equation with the y-intercept form of the equation,

y = mx + b

Slope of the line 'm' = \(\frac{3}{2}\)

and y-intercept 'b' = -5

Table for the points to be plotted on a graph will be,

x              y

-4           -11

-2           -6

0            -5

2            -4

4            -3

By plotting y-intercept (0, -5) and any one of the points given in the table we can get the required line.

Answer: actually the answer to this question is (0, -5) and ( 2, -2)

Step-by-step explanation: I just took the test on Plato and got it right :)

After answering the given query, we can state that The expression for the difference between a number s and -6 is: s - (-6) or s + 6

In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions.   It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The expression for the difference between a number s and -6 is:

s - (-6)

or

s + 6

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