A ball is thrown from an initial height of 5 feet with an initial upward velocity of 31 ft/s. The ball's height (in feet) after t seconds is given by the following.
h=5+31t-16t^2

Find all values of t for which the ball's height is 19 feet.
t= _ seconds
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

The area of the circular manufactured good is given by:

[tex]A = 1.8146 \times 10^{16} \text{m}^2[/tex]

The area of a circle of radius r is:

[tex]A = \pi r^2[/tex].

In this problem, the radius in meters is:

[tex]r = 7.6 \times 10^7[/tex]

Hence the area in m² is:

[tex]A = \pi (7.6 \times 10^7)^2 = 181.46 \times 10^{14} = 1.8146 \times 10^{16} \text{m}^2[/tex]

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It is false that x is a function of y

The equation is given as:

x = y^2

Set y = 2

x = (2)^2

x = 4

Set y = -2

x = (-2)^2

x = 4

Different values of y give the same x value.

This means that x is not a function of y

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Answer: 2/7

Step-by-step explanation:

The total amount of pocket money he has is 7/7.

He spent 3/7 of his pocket money during the first week.

He then spends 2/3 of what he spent the previous week, 2/3 * 3/7 which is 2/7.

What he has left is 7/7 - 3/7 - 2/7 = 2/7.

The geometric center of the graph under the function is 5/3

The equation of the function is given as:

f(x) = 3 - |x - 2|

The interval is given as:

x ∈ [0, 3]

The geometric center (gc) of the graph under the function is calculated using

gc = ∫x f(x) dx/∫f(x) dx

Substitute the known values in the above equation

gc = ∫x * (3 - |x - 2|) dx/∫3 - |x - 2| dx

Integrate the numerator and the denominator of the above equation

gc = [-1/6(x - 2)((2|x -2| - 9)x + 2|x - 2| - 18)]/[3x - 1/2[|x - 2|(x - 2)]]

Recall that the interval is given as x ∈ [0, 3]

Substitute the interval values in the above equation.

The equation is then simplified using a graphing calculator.

So, we have

gc = (65/6)/(13/2)

Express the quotient expression as a product

gc = (65/6) * (2/13)

Divide 65 by 13

gc = 5/6 * 2

Divide 2 by 6

gc = 5/3

Hence, the geometric center of the graph under the function is 5/3

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The net gain of the stock for these three days is 1 points

Net gain / net loss = Monday + Tuesday + Wednesday

= - 8 1/4 + (-2 3/4) + 12

= - 8 1/4 - 2 3/4 + 12

= -11 + 12

Net gain = 1 point

Therefore, the net gain of the stock for these three days is 1 points

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Answer:

[tex]f(x) = 20x - 4 \\ substitute \: y \: for \: f(x) \\ y = 20x - 4 \\ interchange \: x \: and \: y \\ x = 20y - 4 \\ swap \: the \: sides \: of \: the \: equation \\ 20y - 4 = x \\ move \: the \: constant \: to \: the \: right \: hand \\ 20y = x + 4 \\ divide \: both \: sides \: by \: 20 \\ y = \frac{1}{20} x + \frac{1}{5} \\ substitute \: f {}^{ - 1} (x) \: for \: y \\ f {}^{ - 1} (x) = \frac{1}{20} x + \frac{1}{5} [/tex]

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

Thus, domain of f(x): x∈R = range of f¯¹(x)

and range of f(x): x∈R =domain of f¯¹(x)

Answer:

7 14/45

Step-by-step explanation:

9 1/9 - 1 4/5

82/9 - 9/5

410/45 - 81/45

329/45

7 14/45

Answer:

●7.31

please mark as brainliest

The graph is shown in the attached image.

Answer:

  D. y+5=2(x−4)

Step-by-step explanation:

The point-slope form of the equation of a line is useful for writing an equation for a line through a given point with a given slope.

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . . line through point (h, k) with slope m

We want a line through point (h, k) = (4, -5) with slope m = 2. Putting these numbers into the form gives ...

  y -(-5) = 2(x -4)

  y +5 = 2(x -4) . . . . . . simplifying the signs

Answer: [tex]\frac{9g}{4y}[/tex]

Step-by-step explanation:

[tex]\frac{6g}{2} \times \frac{3}{4y}=\frac{18g}{8y}=\frac{9g}{4y}[/tex]

Answer: 1 1/4 cups

Step-by-step explanation:

1 serving is half a cup so 2 servings would be 1 cup

and half of a serving would be 1/4 of a cup

for a drawing you could do something like this

Hello,

What is 72 decreased by 32%

72 × (1 - 32%)

= 72 × (1 - 32/100)

= 72 × (1 - 0,32)

= 72 × 0,68

= 48,96

Answer:225

Step-by-step explanation:

The equation of the given Absolute Value Function is; y = |-2x + 4|

We can see that the given graph is a Linear graph but since it is V-shaped, we can say that it is a graph of an absolute value function.

Now, from the graph we see that;

At x = 0, y = 4

At x = 1, y = 2

At x = 2, y = 0

At x = 3, y = -2

At x = 4, y = 0

At x = 5, y = 2

We can see that the y-intercept is at y = 4.

Slope between two consecutive points is;

(2 - 4)/(1 - 0) = -2

Equation is; y = -2x + 4

Now, this is an absolute value function and as such we will write it as;

y = |-2x + 4|

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The solution to the system of inequalities is (-3.375, 1.75)

The system of inequalities is given as:

3y > 2x+12

2x+y < -5

Next, we plot the graph of the system using a graphing tool

From the graph, both inequalities intersect at

(-3.375, 1.75)

Hence, the solution to the system of inequalities is (-3.375, 1.75)

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The shortest distance from A to B in the diagram is 17 m.

The shortest distance from D to B can be found as follows:

using Pythagoras theorem,

c² = a² + b²

where

Therefore,

DB² = 15² + 8²

DB² = 225 + 64

DB² = 289

DB = √289

DB = 17 m

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Answer:

B, 17 m

Step-by-step explanation:

Founders 23

Answer:

its -14

Step-by-step explanation:

Step-by-step explanation:

4x2+8x−3=0

For this equation: a=4, b=8, c=-3

4x2+8x+−3=0

Step 1: Use quadratic formula with a=4, b=8, c=-3.

x=

−b±√b2−4ac

2a

x= −(8)±√(8)2−4(4)(−3)

2(4)

x= −8±√112

8  x=−1+

1 2 √7 or x=−1+

−1 2 √7

Answer:  x=−1+

1 2√7 or x=−1+

−1 2 √7

[tex]r = 3sec( \alpha ) \\ r = \frac{3}{cos( \alpha )} [/tex]

[tex]x = rcos( \alpha ) \: \: \: \: \: \: \: cos( \alpha ) = \frac{x}{r} [/tex]

[tex]r = \frac{3}{ \frac{x}{r} } \\ r = \frac{3r}{x} \: \: \: \: \: \: x = 3 \\ line[/tex]

The function that represents the given trigonometric graph is; f(x) = cos (x)

From the given trigonometric Graph, we can see the following;

When x = 0, y = 1

When x = π/2, y = 0

When x = π, y = -1

When x = 2π, y = 1

Now, according to trigonometric functions in radians, we know that;

cos 0 = 1

cos  π/2 = 0

cos  π = -1

cos  2π = 1

These values correspond with what we have in the given trigonometric graph and as such we can say that the function that is graphed is;

f(x) = cos (x)

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Answer:

5:8

Step-by-step explanation:

Nichole sold 15 while Andrew sold 24, so the ratio is 15:24. Simplify the ratio by dividing both sides by 3, and we’ll get 5:8.

A summation, also called a sum, is the result of arithmetically adding numbers or quantities. A summation always contains a whole number of terms. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some summations contain infinitely many terms.

= 27

= -12 -15

= -27

☆...hope this helps...☆

_♡_mashi_♡_

Answer:

Step-by-step explanation:

that is a regular rhombus, by definition it has perpendicular diagonals, so in the center there are 4 90 ° angles, so your answer is x = 90 °

The  difference in total loan repayments between the two mortgage payment option is 771.12

The requirement here is to determine the difference between total loan repayments when the period of loan is 36 months and the total repayments when the period of loan is 24 months instead.

Note the loan amount is the excess of  purchase price over the down payment required.

loan amount=12,500-3,000

loan amount=9,500

The monthly payment in each case can be determined using the present value formula of an ordinary annuity.

PV=monthly payment*(1-(1+r)^-N/r

36-month loan month payment

PV=loan amount=9,500

monthly payment=X

r=monthly interest rate=14.5%/12=0.0120833333333333

N=number of monthly payments=36

9,500=X*(1-(1+0.0120833333333333)^-36/0.0120833333333333

9,500=X*(1-(1.0120833333333333)^-36/0.0120833333333333

9,500=X*(1-0.6489543809903260)/0.0120833333333333

9,500=X*0.3510456190096740/0.0120833333333333

9,500=X*29.0520512283869000

X=9,500/29.0520512283869000

X=327.00

Total month repayments=327.00*36

Total month repayments=11,772.00

24-month loan month payment

PV=loan amount=9,500

monthly payment=X

r=monthly interest rate=14.5%/12=0.0120833333333333

N=number of monthly payments=24

9,500=X*(1-(1+0.0120833333333333)^-24/0.0120833333333333

9,500=X*(1-(1.0120833333333333)^-24/0.0120833333333333

9,500=X*(1-0.7495652524008220/0.0120833333333333

9,500=X*0.2504347475991780/0.0120833333333333

9,500=X*20.7256342840700000

X=9,500/20.7256342840700000

X=458.37

Total month repayments=458.37*24

Total month repayments=11,000.88

Difference in total payments=11,772.00-11,000.88

Difference in total payments=771.12

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Answer:

just 771.21

Step-by-step explanation:

to make it shorter credits to the og person who said the awnser 771.21

Answer:

B. 2√3+4

Step-by-step explanation:

3√3+4−√3

=2√3+4 (Decimal: 7.464102)

The measure of D, perimeter and area of a parallelogram are 150°, 82cm and 200 square centimeters respectively. Option A

For the parallelogram ABCD, it can be deduced that

Line AB and CD are parallel and AD is a transversal so the angles A and D is co-interior , Co-interior angles are said to be supplementary whose sum is 180 degrees

A + D = 180°

30° + D = 180°

D = 180° - 30°

D = 150°

Perimeter = 2 ( a + b)

a = 16cm, b = 25cm

Perimeter = 2 (  16 + 25) = 2 ( 41)

Perimeter = 82 cm

Area = b × h

base = 25cm , h = 8cm

Area = 25 × 8

Area = 200 square centimeters

Thus, the measure of D, perimeter and area of a parallelogram are 150°, 82cm and 200 square centimeters respectively. Option A

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Answer:

  a. 3641.51

  b.  1641.51

Step-by-step explanation:

The future value formula will tell you the amount in the account in 20 years.

  FV = P(1 +r/n)^(nt)

Principal P is compounded n times per year at annual rate r for t years.

The future value of the account with P=2000, r=0.03, n=12, and t=20 will be ...

  FV = 2000(1 +0.03/12)^(12·20) = 2000(1.0025^240) ≈ 3641.50999

The account value in 20 years will be 3641.51.

The first 2000 of account value is the principal, so the interest is ...

  interest = 3641.51 -2000

  interest = 1641.51

__

Additional comment

Many calculators and all spreadsheets have built-in capability for making this calculation.

In the binomial distribution​ for probability function, [tex]_{n}C_{x}[/tex] represents the number of ways of obtaining x successes in n trials: True

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

The underlying assumptions of the binomial distribution are that each trial has exactly one possible outcome, that each trial has the same success chance, and that each trial is either independent of or mutually exclusive with every other trial.

As opposed to a continuous distribution, like the normal distribution, the binomial distribution is a frequent discrete distribution used in statistics.

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Answer: 6435

Step-by-step explanation:

[tex]\binom{15}{8}=6435[/tex]

Answer:

The answer to your question is A. Yes, because the total will be $3.27

0.35(2)+0.99(2)+0.59≤4.

Then you multiply: .35(2)=.70. .99(2)=1.98.

Then add: .70+1.98+.59=3.27, so yes she can since 3.27 is less than 4 :)

Step-by-step explanation:

I hope this helps and have a good day!

The doubling time after 4 and 7 years is 400 months and 700 months respectively

The formula for finding doubling time is given as;

Doubling time = [tex]t \frac{In 2}{In 1 + \frac{r}{100} }[/tex]

Where t = time = 4 and 7 years

r = rate

For 4 years, we have

Doubling time = [tex]4 * \frac{In 2}{In ( 1 + \frac{0.7}{100}) }[/tex]

⇒ [tex]4 * \frac{In 2}{In 1. 0074}[/tex]

⇒ [tex]4 * \frac{0. 6931}{0. 0074}[/tex]

⇒ [tex]4[/tex] × [tex]93. 66[/tex]

⇒ 374. 65

⇒ 400 months in the nearest hundredth

For 7 years

⇒ [tex]7[/tex] × [tex]93. 66[/tex]

⇒ [tex]655. 62[/tex]

⇒ 700 months in the nearest hundredth

Thus, the doubling time after 4 and 7 years is 400 months and 700 months respectively

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