A rock falls from a tower that is 352 feet high. As it is falling, it given by the formula h=352-16t/2. How many seconds (in tenths) will it take for the rock to hit the ground (h=0)?

Answer:

Step-by-step explanation:

-3(1+p)=8p-36

-3-3p=8p-36

+36 +3p | +3p +36

Simplifies to

33=11p

divide both side by 11

3=p thus p=3

Answer:

x=6

Step-by-step explanation:

4x-15=2x-3

+15 +15

4x=2x=12

/2 /2 +12

2x=12

/2 /2

x=6

Answer:

#1:

\(4x - 15 + 2x + 3 = 48\\\\2x + 18 = 48\\\\2x = 30\\\\x = 15\)

#2:

Part 1: Solve for x

\(6x - 7 = 5x + 1\\\\x - 7 = 1\\\\x = 8\)

Part 2: Plug in x for PQ

\(6(8) - 7\\\\48 - 7\\\\41\)

The length of segment PQ is 41.

Part 3: Plug in x for QR

\(5(8) + 1\\\\40 + 1\\\\41\)

The length of segment QR is 41.

Part 4: Length of PQ + length of QR = length of PR

PQ + QR = PR

41 + 41 = PR

82 = PR

The length of segment PR is 82.

Answer:

B

Step-by-step explanation:

hope you get the best grade

Answer:

\(\Large \boxed{\sf \ \ 28 \ \text{ and } \ 62 \ \ }\)

Step-by-step explanation:

Hello, let's note a and b the two numbers.

We can write that

a = 6 + 2b

ab = 1736

So

\((6+2b)b=1736\\\\ \text{***Subtract 1736*** } <=> 2b^2+6b-1736=0\\\\ \text{***Divide by 2 } <=> b^2+3b-868=0 \\ \\ \text{***factorize*** } <=> b^2 +31b-28b-868=0 \\ \\ <=> b(b+31) -28(b+31)=0 \\ \\ <=> (b+31)(b-28) =0 \\ \\ <=> b = 28 \ \ or \ \ b = -31\)

We are looking for positive numbers so the solution is b = 28

and then a = 6 +2*28 = 62

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The total value of her individual coverage for the year is $9880.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that, deduction = $38

Weekly deductions are considered.

Thus, 1 year = 4 (12) = 52 weeks.

The total individual coverage = (38)(52) = $1976

The annual cost of the coverage is:

(0.02)(C) = 1976

C = $9880

Hence, the total value of her individual coverage for the year is $9880.

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Answer:

Slope = 0.25

Step-by-step explanation:

m= -3 / -12 = -1 / -4 = 0.25

distance between x's = 12

distance between y's = 3

hope this helped thank you!

Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

Answer:

-by-step explanation:

The result:

1. 1 3/4 = 7/

4

= 1 3/

4

= 1.75

2. is 4

Answer:

Answer in image

Step-by-step explanation:

Answer:

distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.

Step-by-step explanation:

Displacement and velocity.

Answer:

28 - 7x

Step-by-step explanation:

You do the number 7 times each item in the brackets.

7 × 4 = 28

7 × x = 7x

At the end, you join the answers together with the minus '-' symbol.

Answer:

28 -7x

Step-by-step explanation:

7(4−x)

Distribute

7*4 - 7*x

28 -7x

The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

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Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.

To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate per year (expressed as a decimal)

t = Time (in years)

Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:

4850 * 0.076 * t = 8000

Simplifying the equation:

369.8t = 8000

To find t, we divide both sides of the equation by 369.8:

t ≈ 8000 / 369.8 ≈ 21.62 years

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Answer:

75%

Step-by-step explanation:

To determine the total percentage of athletes who enjoy cycling, we need to consider the percentages given in the problem.

According to the information provided:

55% of the team does not like to run.

Of those who do not like to run, 70% enjoy cycling.

Of those who enjoy running, 80% also enjoy cycling.

To calculate the total percentage of athletes who enjoy cycling, we need to consider the percentages from both branches of the tree diagram.

Percentage of athletes who do not like to run and enjoy cycling:

= (Percentage of athletes who do not like to run) * (Percentage of those who enjoy cycling within that group)

= 55% * 70% = 38.5%

Percentage of athletes who enjoy running and enjoy cycling:

= (Percentage of athletes who enjoy running) * (Percentage of those who enjoy cycling within that group)

= (100% - 55%) * 80% = 45% * 80% = 36%

Total percentage of athletes who enjoy cycling:

= Percentage of athletes who do not like to run and enjoy cycling + Percentage of athletes who enjoy running and enjoy cycling

= 38.5% + 36% = 74.5%

Therefore, the correct answer is:

74.5%

Answer:

76°

Step-by-step explanation:

starting fromX ,the line coming from the north pole and ending at the line coming from Y while moving in clockwise direction is the bearing of Y from X

= 180-104=76°

1068705

6 2 8 6 5

× 1 7

4 4 0 0 5 5

+ 6 2 8 6 5 ×

1 0 6 8 7 0 5

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Solution for the given System of linear equation is:

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

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Complete question:

The fraction after the division is A = 46 / 15

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the first fraction be p = 2 7/9

Let the second fraction be q = 5/6

Now , A = p/q

On simplifying the equation , we get

A = 2 7/9 / 5/6

A = ( 25/9 ) / ( 5/6 )

A = ( 25/9 ) x ( 6/5 )

On simplifying , we get

A = 138/45

A = 46 / 15

Hence , the fraction is A = 46/15

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Answer:

$2.66

Step-by-step explanation:

15.00

-

12.34

-----------

2 .6 6

Answer:

a) $29.68

b) $47.52

c) $80.24

Step-by-step explanation:

a) $4.24 x 7 = $29.68

b) $190.08 / 4 = $47.52

c) Total Spent = $29.68 + 190.08 = $219.76

Total Budget = $300

$300 - $219.76 = $80.24

They spend on poster boards in the total amount of $29.68, they paid per-light cost was $47.52 and they can spend more amount of $80.24.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

They spent $4.24 on each of the seven poster boards.

The total amount of spend = cost × quantity

The total amount of spend = $4.24 × 7

The total amount of spend = $29.68

They spent $190.08 total on new lighting.

cost of each light =  total amount of spend / quantity

cost of each light =  $190.08 / 4 = $47.52

Total Spent = $29.68 + 190.08 = $219.76

The total Budget is $300 which is given in the question

$300 - $219.76 = $80.24

Therefore, they spend on poster boards in the total amount of $29.68, they paid a per-light cost was $47.52 and they can spend more amount of $80.24.

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The requried, there are 240 possible ways the race can finish with a mouse placing first, second, and third.

To find the number of ways the race can finish with a mouse placing first, second, and third, we can use the concept of permutations.

Since the mouse is guaranteed to finish first, there are 5 mice to choose from for the first position.

Once the first place is determined, there are 4 mice left for the second position.

After the first two positions are filled, there are 3 mice left for the third position.

Now, we need to determine the order of the cats. There are 4 cats to choose from for the fourth position.

The total number of ways the race can finish with a mouse placing first, second, and third is given by the product of these choices:

Number of ways = 5 (for first place) * 4 (for second place) * 3 (for third place) * 4 (for fourth place)

Number of ways = 5 * 4 * 3 * 4

Number of ways = 240

There are 240 possible ways the race can finish with a mouse placing first, second, and third.

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Answer: 0.98

Step-by-step explanation:

given data:

probability they won a game = 58% = 0.58

since outcome of games are independent, and percentage would remain same as 2014.

probablility that Dodgers wins atleast 1 of their next 7 games

= 1 - p

= 1 - ( 0.58 )^ 7

= 1 - 0.02208

= 0.98

probabikotun that Dodgers would win one of their next seven games is 0.98

Answer:

A = 30²

Step-by-step explanation:

⇒ Base on the Given:

Hypotenious= 13

Height = 12

Base = 5

⊂ Formula ⊃:

A = bh/2

→ Solve ←:

A = bh/2

A = 12×5/2

A = 60/2

A= 30²

Kavinsky

Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Here the statements 1, 2, 3, 4, 5, 7, 8, 10 are correct according to the rules of the shapes.

1: A rhombus is a quadrilateral with four equally sized sides. Each square is a rhombus since they all have four sides that are the same length. 2: Due to the parallel alignment of its opposing sides, every rhombus is a parallelogram. 3: It is true that all rectangles are parallelograms since they have two sets of parallel sides and two pairs of equal opposing sides. 4: The other is split into two equal halves by each bisector. 5: If a quadrilateral's diagonals are equal and bisect one another at right angles, it is a square. 7: Since the diagonals themselves are congruent, each bisected line segment is also congruent. 8: The diagonals split a rhombus's vertex angles into equal halves. The diagonals of a rhombus are at right angles to one another. 10: A square is a rhombus. Sometimes, this is accurate. When a rhombus has four right angles, it is true. So the statements 1,2,3,4,5,7,8,10 are correct.

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Answer:

9 + 5t

Step-by-step explanation:

Nine more means 9 plus (9+)

after the 9+, it says 5 times the number of t. That means 5*t, or 5t.

putting them together, you get 9+5t

Answer:

A. 9 + 5t

Step-by-step explanation:

hope it helps :)

Answer:

0.675

Step-by-step explanation:

Answer:

is the question complete?