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A diver is standing on a platform 24 ft above a pool. He jumps from the platform with an initial
upward velocity of 8 ft/s. Using the formula, h(t) = -16t2 + vt + s, where h is his height
above the water, t is the time, v is his starting upward velocity, and s is his starting height.
A) After how long will the diver reach its maximum height?
B) What is the maximum height the diver will reach?

Answer:   x-intercept = 42/3 = 14

Step-by-step explanation:  y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

Notice that when x = 0 the value of y is 6/-1 so this line "cuts" the y axis at y=-6.00000

 y-intercept = 42/-7 = 6/-1  = -6.00000

When y = 0 the value of x is 14/1 Our line therefore "cuts" the x axis at x=14.00000

 x-intercept = 42/3  =  14

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -6.000 and for x=2.000, the value of y is -5.143. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.143 - (-6.000) = 0.857 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.857/2.000 =  0.429

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-7y-42  = 0 and calculate its properties

x-intercept = 42/3 = 14

Answer:

The 3 positive integers of which the sum is equal to their product are, 1 , 2 and 3

1 + 2 + 3 = 6

So, when we add 1, 2 , and 3, we get six, now let's see on multiplying them,

1 * 2 * 3 = 6

Hence, the positive integers that have the same sum as their product are,

1 , 2 , and 3

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Answer:

168 minutes

Step-by-step explanation:

50% is equal to .5 which is half. So if 84 minutes is half her weekly limit then she double that number to find her weekly limit, which is 168 minutes.

Following our assumption, the number of cups that will be remained in the bag after the baker is finished is 4 cups.

Word Problems in mathematics are those methods involving the use of algebra, fractions, ratios, and other basic mathematical concepts to solve problems in real-life cases.

From the given information:

Then, the number of cups to make 4 loaves of bread is:

= (4 × 4) cups

= 16 cups to make 4 loaves of bread.

The number of cups of flour remaining will be:

= 20 - 16 cups of flour

= 4 cups of flour remaining

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Answer:

you have to show the diagram ...

Step-by-step explanation:

Step-By-Step Explanation:

1st Step : First lets take 6 times the circumference (Pi)

6 * 3.14 = 18.84

2nd Step : Next, Divide 18.84 by 4

18.84 /4 = 4.71

3rd Step : And lastly, Take 4.71 times 3.

3 * 4.71 = 14.13

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Answer:

30-60-90shortest leg is always x ; longest leg is always x√3 ; hypotenuse is always 2xhypotenuse = 28 inches = 2x = 2(14)shortest leg = x = 14longest leg = x√3 = 14√3The exact length and width of the tv would be 14 inches and 14√3 inches.

Step-by-step explanation:

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Answer: A

Step-by-step explanation:

Let the length side of the TV = a

The width of the TV = b

The diagonal of a TV = c

In a 30-60-90 right triangle,

We have cos(30°) = [tex]\frac{\sqrt{3}}{2}[/tex] and sin(30°) = [tex]\frac{1}{2}[/tex]

Given that c = 28 inches:

sin(30°) = [tex]\frac{b}{c}[/tex]

[tex]\frac{1}{2} = \frac{b}{c}[/tex]

[tex]b = \frac{1}{2} \times 28 = 14[/tex]

That is, the width of the TV = 14 inches

cos(30°) = [tex]\frac{a}{c}[/tex]

[tex]\frac{\sqrt{3}}{2} = \frac{a}{c}[/tex]

[tex]a = \frac{\sqrt{3}}{2} \times 28 = 14\sqrt{3}[/tex]

That is, the length of the TV = 14√3 inches

So the exact width and length of the TV are 14 inches and 14√3 inches.

Therefore, option A is the correct answer

Answer:

Step-by-step explanation:

Answer:

a) x + 8 ≥ 6

Step-by-step explanation:

x + 8 ≥ 6

Step 1: Subtract 8 from both sides

x + 8 - 8 ≥ 6 - 8

Step 2: Simplify

x ≥ -2

And since the symbol is greater than, we use a closed circle. Also, since the inequality is like an arrow pointing to the right, we draw the arrow going to the right.

Here are what the inequality symbols mean:

>  = Greater than

≥  = Greater than or equal to

<  = Less than

≤  = Less than or equal to

Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).

Answer:

b

Step-by-step explanation:

brianlesyt

Answer : Marla Will Be Done School At 12:48 Pm.

Explanation : 8:48 Am. + 4 Hours = 12:48 Pm.

Answer:

I don't know the table but from similar questions like this the answer is probably :

The ratio is 98/10; x = 110

Answer:

it's could be False i'm not sure

Answer:

$269.49

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 349.99 × 23/100

Discount = 349.99 x 0.23

You save = $80.50

Final Price = Original Price - Discount

Final Price = 349.99 - 80.4977

Final Price = $269.49

Use this formula: Speed = Distance/Time

Given in the question:

Distance - 20 miles

Time - 50 minutes

Calculations

Speed = Distance/Time

Speed = 20/50

Speed = 0.4 miles/min

Therefore, the ship travels 0.4 miles per minute.

Answer:

-1

2+p=1/3+2/3

first do the fraction

2+p=1

collect like terms

p=1-2

p=-1

Answer:

2hrs 30 mins

Step-by-step explanation:

if the buoy Is 12 up and 16 right than you can use Pythagorean theorem

a²+b²=c²

144+256=c²

400=c²

√400=√c²

20=c

20/8=2.5

2 hrs 30 mins

Answer:

P is 250% of Q

Step-by-step explanation:

50/100 Q  =   20/100P            Multiply both sides by 100

50Q = 20 P                              Divide by 20

50/20 Q = P

2.5 Q = P

So P is 2.5 times the size of Q.

2.5 as a percent is 250 %

Answer: 0

Step-by-step explanation:

Answer:

(B) 3

Step-by-step explanation:

Qualitative answer. As x grows larger and larger, the contribute of lower degree terms (and constants) becomes irrelevant, and you rewrite everything picking the highest term for both numerator and denominator

[tex]\lim\limits_{x \to \infty} \frac{\sqrt{9x^4}}{x^2} $\lim\limits_{x \to \infty} \frac{3x^2}{x^2}=3[/tex]

Analitically.

Collect [tex]9x^4[/tex] in the numerator under the square root, [tex]x^2[/tex] in the denominator.

[tex]\lim\limits_{x \to \infty} \frac{\sqrt{9x^4(1+\frac{1}{9x^4})}}{x^2(1-\frac{3}{x}+\frac{5}{x^2})} = \lim\limits_{x \to \infty}\frac{3x^2\sqrt{(1+\frac{1}{9x^4})}}{{x^2(1-\frac{3}{x}+\frac{5}{x^2})}} = 3[/tex]

At this point the way you deal with it is the usual. Anything inside the bracket goes to 0 besides the lead coefficients (1 in both cases) and you're left with 3.

Answer:

3

Step-by-step explanation:

Let the number of people be n.

39.75n + 5.75 ≤ 140

39.75n ≤ 134.25

n ≤ 3.37

The greatest integer less than or equal to 3.37 is 3.

Answer: 3

The maximum number of people who can go to the amusement park will be 3.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that the group has $140 to spend on parking and admission. Parking is $5.75, and tickets cost $39.75 per person, including tax.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

Suppose the number of people will be n.

39.75n + 5.75 ≤ 140

39.75n ≤ 134.25

n ≤ 3.37

The greatest integer value should be less than or equal to 3.37 is 3.

Thus, the maximum number of people who can go to the amusement park will be 3.

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The difference that exist between the experimental and theoretical probability that the fair coin will lands on heads is A. 20%.

Your information is incomplete as the table isn't given. Therefore, an overview will be given.

It should be noted that theoretical probability describes how likely an event will occur. In this case, the probability of getting a head is 50%.Now, let's assume that the experimental probability that given is 70%.

In they case, the difference between the experimental and the theoretical probability that the fair coin lands on heads will be:

= 70% - 50%

= 20%

In conclusion, the correct option is 20%.

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Answer:

Step-by-step explanation:

it’s 20% because yo have to add the device

Answer:

4 yd

Step-by-step explanation:

The missing length is the question mark on the top side.

Look at the bottom side. Its length is 10 yd.

Now look at the next horizontal side up from the bottom. Its length is 6 yd.

The missing length is the difference between 10 yd and 6 yd.

10 yd - 6 yd = 4 yd

9514 1404 393

Answer:

  2 autos per hour

  f(h) = 2h

Step-by-step explanation:

The graph in the interval 0 ≤ h ≤ 4 is a straight line through the origin, so represents a proportion. The constant of proportionality is the slope of the line, which is the ratio of vertical change to horizontal change.

On the interval [0, 4], we see that 8 automobiles are completed in 4 hours, so the slope is ...

  (8 autos)/(4 hours) = 2 autos/hour

Then the completion rate function in that interval is ...

  f(h) = 2h

The maximum lengths of the sides of the rectangular base are approximately 7.616 inches and 22.847 inches.

The surface area of the rectangular prism ([tex]A_{s}[/tex]) is equal to the product of two lengths of triangle. The area formula for the base is:

[tex]A = x\cdot (3\cdot x)[/tex]

[tex]A = 3\cdot x^{2}[/tex]

If we know that [tex]A = 174[/tex], then the least length of the base of the rectangle is:

[tex]x = \sqrt{\frac{A}{3} }[/tex]

[tex]x \approx 7.616\,in[/tex]

The maximum lengths of the sides of the rectangular base are approximately 7.616 inches and 22.847 inches. [tex]\blacksquare[/tex]

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Answer:

3 inches and 9 inches

Step-by-step explanation:

See pic :)

Answer:100ft

Step-by-step explanation:i got it right on I-ready

The total of people at the football game by considering the information provided would be 3500

This can be calculated by using the information provided about the number of people that supports the home team, as well as the percentage represented by them. To do this, use the rule of three.

You can test it by finding out the 94% and the 6% of the total number:

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Answer:

(e.g., 10 × 4 ten thousands). Draw number disks and write a multiplication sentence to show the value of 10 times 4 ten thousands. 10 times 4 ten thousands = 40 ten thousands = 4 hundred thousands. Explain how you know this equation is true

Step-by-step explanation:

Answer:

10 * 4,000 = 40,000 =1,000/4

Step-by-step explanation:

Step-by-step explanation:

2 weeks = 14 days.

on 11 days of these 14 he had fever.

that means on 14-11 = 3 days he did not have a fever.

on 9 of these 11 fever days he had the fever in the evening.

and we know, when he had fever in the evening, he had no fever in the morning.

so, the number of days without fever in the morning is :

9 + 3 = 12

as he had no fever in the morning when he had a fever in the evening, AND when he did not have any fever at all ...