can someone please show me how to solve this?

9514 1404 393

Answer:

  t ≈ 0.590 s (ascent); 5.532 s (descent)

Step-by-step explanation:

We are interested in the values of t when s=16.

  s = 30t -4.9t²

  4.9t^2 -30t +16 = 0 . . . . . substitute 16 for s; put in standard form

The quadratic formula can be used to find the solutions:

  t = (-(-30) ±√((-30)² -4(4.9)(16)))/(2(4.9))

  t = (30 ±√586.4)/9.8 ≈ 0.59023, 5.53221 . . . . seconds after launch

a) It will take 0.590 seconds to reach 16 m height initially.

b) It will take 5.532 seconds to return to 16 m height on descent.

Answer:

352

Explanation

Answer:

352 square inches

Equation to find the surface area:

A=2(wl+hl+hw)

Steps:

2·(4·12+8·12+8·4)=352

If you have any questions revolving around this topic,feel free to ask me and i will be happy to help,Good luck!

Answer:

x = 2

y = 1

Step-by-step explanation:

Answer:

x= 2

y= -1

Step-by-step explanation:

Answer:

150°

Step-by-step explanation:

We know each angle in a equilateral triangle is 60° and that of a rectangle is 90° . So ,

[tex]\implies \angle ABC = \angle DBC + \angle ABD \\\\\implies \angle ABC = 90^o + 60^o \\\\\implies \boxed{\boxed{ \angle ABC = 150^o }}[/tex]

Answer:

Cos^2x csc^2x

Step-by-step explanation:

Cos^2x (1 + cot^2x)

Answer:

The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits.

This means that [tex]\mu = 17, \sigma = 2.5[/tex]

What does the CLT say about the distribution of the sample mean of 49 students?

It is approximately normal.

The mean is 17.

Due to the sample of 49, n = 49, and the standard deviation is [tex]s = \frac{2.5}{\sqrt{49}} = 0.3571[/tex]

The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.

Answer:

$75

Step-by-step explanation:

he makes $44 and then you add the dollar per 31 books making $75

Answer:

226.78579

Step-by-step explanation

first, find k in 90(3^kx)

90(e^0) = 90 [when time is 0 years, the population is 90]

180=90(e^k3), 2=e^3k

ln2 = 3k, k=(ln2)/3

90(e^4(ln2)/3) = 90(e^ln(16)/3)

it is about 226.78579

Answer:

b cuz its cosine but i flipped the numbers so it can be 20 over 12 and gave me exactly 0

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(θ) in the given triangle is 0.6.    

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm \sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\\tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

In a right angle, the cosine function of trigonometry is the ratio of the base of the triangle and the hypotenuse of the triangle.

For angle θ, the dimension of the triangle will be,

Perpendicular = 16

Base = 12

Hypotenuse = 20

Now, the measure of cos(θ) will be,

Cos(θ) = Base / Hypotenuse

           = 12 / 20

           = 6 / 10

           = 0.6

Hence, the value of cos(θ) in the given triangle is 0.6.

Learn more about Trigonometric functions here:

https://brainly.com/question/6904750

#SPJ5

Multiply the length by the height:

6.5 x 2 = 13

The width is the volume divided by 13

Width = 52/13 = 4 m

Answer:

2.6x + 10.5 = 31.3

Step-by-step explanation:

Answer:

A) The higher the grade, the larger the average donation

Answer:

The Answer is A

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

Plus in 10 into the equation

Price=2(10)+10

Price=20+10

Price=30

Answer:

123456789101112131415161718192021222324252627

Answer:

use this formula

x/230×2×pie×radius

PN=180

MPN=MN=31

MP=x

180=31+x

x=180-31

x=149

Answer:

1+1=2

Step-by-step explanation:

THANKS YOU YAY HOPE IT HEOPS

Answer:

2 thanks

Step-by-step explanation:

obtuse: B

straight: C

acute: A

right: D

Step-by-step explanation:

Draw a clock and put the hands on the clock and you can see the angel that the clock has.

Answer:

Step-by-step explanation:

Set up proportions. Make sure length and widths line up!

[tex]\frac{12}{5} =\frac{x}{8}[/tex]

Then do butterfly method.

[tex]12(8) = 5x[/tex]

Solve for x.

[tex]96 = 5x\\\\x= 19.2 in[/tex]

Hope that helped!

Answer:

plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )

Step-by-step explanation:

Ryan should plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )

The exact right action on what Ryan should do is not listed in the options listed below, hence I have just picked the closest on what Ryan should do if he is testing for normality of the residuals after constructing a multiple regression model

Normality of residuals test is performed to ensure that the residuals are properly/evenly distributed

Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

[tex]V_L= 100 m^3/h * 3h=300\ m^3[/tex]

Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

[tex]V_R= 280 m^3/h * 3h=840\ m^3[/tex]

To get the best estimate of the total volume, let us find the average of the two values, hence:

[tex]Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3[/tex]

Answer:

SAS

Step-by-step explanation:

Answer:

23.45

Step-by-step explanation:

35 percent of 67=23.45

35×67=2345

2345/100=23.45

Answer:

y= -|x - 3| graph

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

you multiply like it is a rectangle then you cut your answer in half in this case 7x10=70 cut in half is 35

Answer:

B + 8 = 17 (just incase you need it, B = 9)

Step-by-step explanation:

Hope this helps, pls try to turn it in soon! :))

Answer:

i cant put the picture

Step-by-step explanation:

d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median

Answer:

G1 = -5 G2 = -1

Step-by-step explanation:

plug in the values given into X and solve

g1= 1/4(-4) -4

g1 = -1 -4

g1 = -5

g2= 1/4(12) -4

g2= 3 -4

g2= -1

Answer:

C.

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

The fraction 3/4 is equivalent to 75%. Therefore, the percent Kevin will catch a fly ball is 75%.