I'm awarding 20 points for an answer!

A ball is thrown into the air with an initial upward velocity of 48 ft/s. It height h in feet after t seconds is given by the function h (t)=-16t^2+48t+4.

In how many seconds will the ball reach its maximum height?

Answers

Answer 1

Answer:

Step-by-step explanation:

h(t)=-16t^2+48t+4

dh/dt=-32t+48

d2h/dt2=-32

Since acceleration is always negative when the velocity, dh/dt=0, it will occur at the maximum height.

dh/dt=0 when

-32t+48=0

-32t=-48

t=1.5 seconds

Without calculus, the vertex of a parabola will be at -b/(2a) of the quadratic equation. In this case

-48/(2(-16))

-48/-32

1.5 seconds


Related Questions

simplify 4(q + 7) + 2

Answers

Answer:

The answer to this problem is 4q+30

First you would distribute the 4 into (q+7), which results in;

4q+28+2

Then you would simplify from here, and get;

4q+30

^^^ This is the final and correct answer.

PLEASE HELP BRO ILL MARK BRAINLEST
What operation would you do to balance this equation.
In other words, what would you put in the clouds.
a-4 = 10
a
add 4 to both sides
subtract 4 to both sides
multiply 4 to both sides
divide 4 to both sides

Answers

Answer:

add 4 to both sides

Step-by-step explanation:

a-4+4=10+4

a=14

18 percent of people in a city eligible to donate blood actually do. You randomly select four eligible blood donors and ask them if they donate blood. Complete parts​ (a) through​ (d) below.

Answers

Answer:

[tex]P(x = 1) = 0.3970[/tex]

[tex]P(x = 2) = 0.1307[/tex]

[tex]P(x = 3) = 0.0191[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Step-by-step explanation:

Given

[tex]n =4[/tex]

[tex]p = 0.18[/tex]

Required

(a) - (d)

x | P(x)

0 | 0.452

1 |

2 |

3 |

4 |

To solve (a) to (d), we simply apply the following binomial probability formula

[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]

Solving (a):

[tex]x = 1[/tex]

So, we have:

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]

[tex]P(x = 1) = 0.3970[/tex]

Solving (b):

[tex]x = 2[/tex]

So, we have:

[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]

[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]

[tex]P(x = 2) = 0.1307[/tex]

Solving (c):

[tex]x = 3[/tex]

So, we have:

[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]

[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]

[tex]P(x = 3) = 0.0191[/tex]

Solving (d)

[tex]x = 4[/tex]

So, we have:

[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]

[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]

[tex]P(x = 4) = 0.0011[/tex]

What is the length of arc S shown below?
Enter an exact expression.
SA
21
MY
S
4
2 cm
Pro
PO
The angle in the figure is a central angle in radians.

Answers

Answer: pi/2

Step-by-step explanation:

Write an exponential regression equation for the data, rounding all values to the nearest thousandth.

Please help I will mark brainliest

Answers

f(x)= 39.59(1.09)




Hope this helps!!

Monica has this recipe for fruit salad. 2 1/2 cups of pers, 2/3 cups of grapes, 1 1/4 cups of apples, and 1/2 of orange slices. How many cups for fruit is it in total?

Answers

Answer:

[tex]3\frac{11}{12}[/tex] cups

Step-by-step explanation:

[tex]2\frac{1}{2} = \frac{5}{2}[/tex] of pears

[tex]\frac{2}{3}[/tex] of grapes

[tex]\frac{1}{4}[/tex] of apples

[tex]\frac{1}{2}[/tex] of orange

when adding fractions, make sure all denominators are the same:

[tex]\frac{5}{2} = \frac{30}{12}[/tex] of pears

[tex]\frac{2}{3} = \frac{8}{12}[/tex] of grapes

[tex]\frac{1}{4} = \frac{3}{12}[/tex] of apples

[tex]\frac{1}{2} = \frac{6}{12}[/tex] of orange

add all of the fractions:

[tex]\frac{30}{12} + \frac{8}{12} + \frac{3}{12} + \frac{6}{12} = \frac{47}{12}[/tex]

convert to mixed fraction:

[tex]\frac{47}{12} = 3\frac{11}{12}[/tex]

Look at the other guys

find the HCF and LCM of 150 and 225

Answers

Answer:

The LCM of 150 and 225 is 450.

Steps to find LCM

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5 × 5

LCM = 450

Look at the methods to find the HCF (150, 225)

HCF of 150 and 225 by Prime Factorization

HCF of 150 and 225 by Listing the Common Factors

Method 1: Find HCF of 150 and 225 by Prime Factorization

Represent 8 and 14 as a product of its prime factors.

Prime factorization of 150 is 2 × 3 × 5 × 5

Prime factorization of 225 is 3 × 3 × 5 × 5

The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 150 and 225 is 3 × 5 × 5 = 75

Method 2: Find HCF of 150 and 225 by Listing the Common Factors

The factors of 150 and 225 are shown below.

Step-by-step explanation:

Hope it is helpful.....

please help!! i’ll mark best answer brainliest!!

Answers

Answer:

Z = 13

Step-by-step explanation:

Both of the angles should equal 90.

2z + 5 + 5z - 6 = 7z - 1

7z - 1 = 90

7z - 1 + 1 = 90 + 1

7z = 91

7z ÷ 7 = 91 ÷ 7

Z = 13

Hope that helped you and have a wonderful day!

Tell whether the table represents a linear or an exponential function. Then write the function.
х
-3
-2
- 1
0
1
y
64
48
32
16
0
The table represents a(n)
function.
13
y =

Answers

The table represents a linear function. The table is decreasing at a constant rate.

Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b? 3 a + 2 b 3 a minus 2 b a minus 2 b a + 2 b

Answers

Answer:

a + 2b

Step-by-step explanation:

Given the expression

2(a+2b) - a-2b

Open the bracket

2a+(2)2b- a-2b

2a+4b - a-2b

Collect the like terms

2a-a+4b-2b

a + 2b

Hence the equivalent expression is a + 2b

Answer:

d

Step-by-step explanation:

What is the solution to the equation below?


14x=12

Answers

Answer:

Step-by-step explanation:

hello :

14x=12

x=12/14

x=6/7

If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin

Answers

9514 1404 393

Answer:

  (-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

  (x, y) ⇒ (-x, -y) . . . . . rotation 180°

  (2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

HELP MATCHING EACH PROPORTION WITH ITS SOLUTION

Answers

no puedo ver el problema

need to pass this class!

Answers

4w+5+33=90
4w=90-5-33
4w=52
w=13

If 48X^2,64x^4 ,x 36x^2 are in proportion , find the value of x​

Answers

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

To Find:

x=?

Solution:  

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

[tex]\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\[/tex]

cross multiply:

[tex]\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27[/tex]

Therefore, the answer is "27".

Learn more:

brainly.com/question/12149603

Please help it’s just one question <3

Answers

180° :))))))))))))))))))))))

Answer:

c-270

Step-by-step explanation:

To rotate counterclockwise on a coordinate graph, 90 degrees would put you in quadrant I, so you continue 90 degree rotations until you get to quadrant III.

Hope this helps :)

helppppppppppppppppp

Answers

Answer:

sin 2 ( x )  ⋅  sin 2 ( x )  cos 2 ( x )  →  sin 2  ( x )  tan  2 ( x )

Step-by-step explanation:

Assuming  tan  = 2 ( x ) − sin 2 ( x ) = tan 2 ( x ) sin 2 ( x ) ,

tart off by rewriting  tan 2 ( x )  in to its  sin ( x ) and cos ( x )  components.

 sin 2 ( x ) cos 2 ( x ) − sin 2 ( x )  

Next find a common denominator

(LCD:

cos 2 ( x )⋅ 1 ) sin 2( x )  cos 2 ( x )  ⋅  ( 1 1 )  −  sin 2 ( x )  ⋅ cos 2 ( x )  cos 2 ( x )  →  sin 2 ( x )  cos 2 ( x )  −   sin 2 ( x ) cos 2 ( x )  cos 2 ( x )  

Combine in to a single fraction and factor out a

 sin 2  ( x)  .   sin 2 ( x )  −  sin 2 ( x )  cos 2 ( x ) cos 2 ( x ) →  sin 2 ( x)  ⋅  sin 2 ( x ) cos 2 ( x )

Finally just rewrite  sin 2 ( x )  ⋅  sin 2 ( x )  cos 2 ( x )  →  sin 2  ( x )  tan  2 ( x )

Six friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?

Answers

Answer:

1/3 of the pumpkin pie

Step-by-step explanation:

2 pies can equal 6 pieces, 3 pieces a pie

If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each

1/3 times 6 equals  6/3, which equals 2 pies

Data yang sesuai dengan diagram dibawah ini adalah ...*

a. 123456
b. 24466633331111
c. 12345
d. 112222333334445

please help mee​

Answers

Jawaban:

D. 1122223333334445

Penjelasan dengan langkah-langkah:

Sumbu y = Frekuensi = berapa banyak pekerjaan

Sumbu x = Jenis Pekerjaan = pekerjaan nomor n

(maka)

Ada

2 buah pekerjaan nomor 1 = 11

4 buah pekerjaan nomor 2 = 2222

6 buah pekerjaan nomor 3 = 333333

3 buah pekerjaan nomor 4 = 444

1 buah pekerjaan nomor 5 = 5

maka hasilnya

1122223333334445 (d) ✅

_____________

#Jenius - kexcvi

Nyasar soalnya brainly di indo lagi mode ujian haha

Easy question! The polygons in each pair are similar. Find the missing side length

Answers

25
The other polygon the top is 5 less than the longer side. If they are similar the top of the first polygon must be 25.

Answer:

24

Step-by-step explanation:

20           x

----    =    ----

25          30

Cross Multiply (20, 30 and 25, x)

25x = 600

Divide both sides by 25

x = 24

Find the volume of the cylinder

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Surface Areas and Volumes.

We know that , Volume of the cylinder = πr^2h

here, r = 5 units and h = 6 units,

hence we substitute it,

==> Volume = 3.14*(5)^2*(6)

==> Volume = 3.14*25*6

==> Volume = 471 units^3

Hence the volume of cylinder is 471 cubic units.

Kenny has $500 in a savings account. The interest rate is 4%, compounded annually.
To the nearest cent, how much will he have in 1 year?

Answers

Answer:

After one year Kenny will have $520.

Step-by-step explanation:

Answer:

$520

Step-by-step explanation:

500(0.04) = kenny's annual interest rate return= 20

500+20= total dollars kenny has in a year

please help me i suck at math

Answers

37000 + 37000\(0.09)

is the answer.

A'B'C is a translation of ABC. what is the length?​

Answers

Answer:

6 units

Step-by-step explanation:

A translation is a rigid body motion, meaning that it is a type of transformation that doesn't change the length of any sides, or it is the same as the original image. Since A'C' corresponds to AC, it must be 6 units as AC is 6 units.

Answer: 6 units

Step-by-step explanation:

i need to find x, they're vertical angles​

Answers

Answer:

x = 16

Step-by-step explanation:

vertical angles are equal

3x = 2x+16

x = 16

Answer: x = 16

Step-by-step explanation:

Since they are vertical angles, we can set them up equal to each other:

3x = 2x + 16

Now, we simply solve for x by subtracting 2x on both sides of the equation.

3x = 2x + 16

x = 16

what are the x-intercepts of the parabola? y=-3(x+5)(x-9)

Answers

Answer:

-5 and 9

Step-by-step explanation:

Graph the equation on a graph.

You can also simplify the equation into y=mx+b form and then graph:

y=-3(x+5)(x-9)

y=(-3x-15)(x-9)

y=-3x^2+27x-15x+135

y=-3x^2+12x+135

Kiara said the line with equation 28x - y = -20 has a slope of 28. . What mistake did Kiara make?​

Answers

Therefore, the mistake Kiara made was to take the absolute value of the slope instead of correctly identifying the slope as a negative value.

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc. Equations can have different types of solutions, including real solutions, complex solutions, and no solutions. Equations can be used to model a wide range of mathematical and scientific problems, and they are an essential tool for problem-solving in many fields.

Here,

The equation 28x - y = -20 is in the form of the standard linear equation Ax + By = C, where A, B, and C are constants, and x and y are variables.

To find the slope of a line from an equation in this form, we need to rearrange the equation into slope-intercept form, which has the form y =mx + b, where m is the slope of the line, and b is the y-intercept.

To do this, we need to isolate y on one side of the equation:

28x - y = -20

-y = -28x - 20

y = 28x + 20

Now we can see that the equation is in slope-intercept form, with a slope of 28, not -28 as Kiara thought.

Kiara made a mistake in identifying the slope of the line.

To know more about equation,

https://brainly.com/question/649785

#SPJ1

After 32 years from now a boy will be 5 times as old as he was 8 years back.How old is the boy now?

Answers

Answer:

18 years

Step-by-step explanation:

Transforming the question in form of equation:

Let x be the current age.

x + 32 = 5(x-8)

x + 32 = 5x - 40

5x - x = 40 + 32

4x = 72

x = 18

Answer: look at this! He’s 18

Step-by-step explanation:

equation = x+32=5(x-8)

X+32=5x-40

5x-x=32+40

4x=72

X=72/4

=18

The length of one side of APTV is given. Use the relationship between the sides of a 30°-60°-90° triangle to find the lengths of the other two sides.​

Answers

Answer:

it's going to be 3 and 6

Step-by-step explanation:

hope this one is right :)

Write an equation in slope-intercept form of the
line with slope -1/3 that contains the point (-3,-5).

Answers

The equation would be y = -1/3x -6
Other Questions
A group of veterinary researchers plan a study to estimate the average number of enteroliths in horses suffering from them. Previously research has shown the variability in the number to be = 2. The researchers wish the margin of error to be no larger than 0.5 for a 99% confidence interval. To obtain such a margin of error the researchers need at least:A. 53 observations.B. 107 observations.C. 106 observations.D. 54 observations.2.A group of veterinary researchers plan a study to estimate the average number of enteroliths in horses suffering from them. The number of enteroliths is determined by surgery or ultrasound. This requires the participation of a radiologist and a surgeon in the study. The researchers decide that they should only enroll horses seen at the best veterinary hospital in the country to ensure correct counts. Such a hospital will typically see the most severe cases. The researchers will enroll the first 100 horses seen beginning on the day the study is funded. The resulting interval is likely biased because:A. the first 100 horses seen is not an SRS of all horses with enteroliths and therefore never representative.B. a sample of 100 horses is too small to obtain an unbiased estimate.C. the best veterinary hospital is likely to see the most severe cases with larger number of enteroliths.D. All of the above3.A group of veterinary researchers plan a study to estimate the average number of enteroliths in horses suffering from them. The number of enteroliths is determined by surgery or ultrasound. This requires the participation of a radiologist and a surgeon in the study. The researchers decide that they should only enroll horses seen at the best veterinary hospital in the country to ensure correct counts. Such a hospital will typically see the most severe cases. The researchers will enroll the first 20 horses seen beginning on the day the study is funded. The researchers will calculate a 95% confidence interval. The procedure is not valid because the:A. sample size is too small for the central limit theorem to apply.B. average number is not an integer and does not reflect any actual observation.C. None of the above. The procedure is valid.D. data are counts and, therefore, not Normally distributed.4.In a test of hypothesis for a mean, which statement is CORRECT?A. The test requires that the sample mean is normally distributed; this requires that either the population distribution is Normal or the sample size exceeds 30.B. As long as the population distribution consists only of positive values, sample size does not matter.C. The population distribution can be any distribution because the sample mean is always Normally distributed.D. The population must be normal because that is the only case when the sample mean is Normally distributed.5.A "false negative," in which no effect is detected when in reality one exists, is an example of:A. a Type I error.B. the power of the test.C. a Type II error.D. None of the above Appropriating money for local projects is known asentitlementspork-barrel legislationlogrollingtaxesConfu what is -4m+5=5-4m show all solutions Help me pls djejefjcskaeddn When Justine finally reached the summit of the mountain she felt great beside being a little out of breathe Help!What is the missing term? What is the rule? 7 1/5 , 5 13/15 , _______, 3 1/5, 1 13/15 Answer pls is mathematically is due today in 1 m what's the word equation for photosynthesis Quotient of a number and 3 increased by -7 Equals negative 144 need help, tyyyyyyyy What are examples of human rights abuses toward women? a.Equal pay for equal work b.Opportunities to advance within a company c.The ability to practice their religion. d.Barring them from advancement due to gender.:^ Was Appeasement the right method for dealing with Hitlers aggression? jennifer is a wedding planner. She set up five chairs at each table for the reception. If( t )represents the number of tables, which of the following expressions represents the total number of chairs that she set up? A. 5 + t B. t + 5 C. 5t D. t - 5 The double dot plots show the average wait times in minutes for two popular rides at an amusement park. Which ride typically has a longer wait time?A. Rocket BlastB. Topsy TurvyC. No inference can be made from this graph.D. The wait times are the same for both graphs. what is x and y. help plz!!!!!!! Explain the difference in meaning between 8^2 +2^2 and (8 + 2)^2? what process do bacteria reproduced in flagellam what is the density of the oak board? it is 5.5 inches wide, 1.5 inches thick and 3 feet long List 3 characteristics that ALL Cells have in common I need help plz hurry before the time is over plz plz