Step-by-step explanation:
Given that,
The function that shows the height of a baseball after t seconds is given by :
[tex]H(t)=-16t^2+75t+25[/tex] ....(1)
Part (A).
When the baseball hits the ground,
H(t) = 0
So,
[tex]-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s[/tex]
After 5 seconds the baseball will hit the ground.
Pat (B)
For maximum height, put dH/dt = 0
So,
[tex]\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s[/tex]
Put t = 2.34 s in equation (1).
[tex]H(t)=-16(2.34)^2+75(2.34)+25\\\\H(t)=112.89\ m[/tex]
Hence, this is the required solution.
help can you guys help me ill like eany coment and the answer
Answer:
The first step is false because the tub was not higher at 10:14 than at 10:01, The second box is true, because it is staying the same. The Third box is most likely true. The forth one is false , as there is a decline at 10:20 and the last one I am pretty sure is true also.
Check all of the functions that are odd.
f(x)=x3-x2
f(x)=x5-3x3+2x
f(x) = 4x + 9
f (x) = StartFraction 1 Over x EndFraction
Answer:
second and fourth
Step-by-step explanation:
answered the question
78-[5+3 of (25-20)]
can you please help me solve this?
Answer:
38
Step-by-step explanation:
➜78-[5+3×(25-20)]
➜78-[8(5)]
➜78-40
➜38
Find the value of x.
Answer:
x = 19 cm
Step-by-step explanation:
3+3+2+5+6 = 19
perpendicular sides mean plz
Answer:
lines that will never touch
Step-by-step explanation:
these are lines that you could keep drawing and they will never cross or touch
State study on labor reported that one-third of full-time teachers in the state also worked part-time at another job. For those teachers, the average number of hours worked per week at the part-time job was 13. After an increase in state teacher salaries, a random sample of 400 teachers who worked part-time at another job was selected. The average number of hours worked per week at the part-time job for the teachers in the sample was 12.5 with a standard deviation of 6.5 hours. Is there convincing statistical evidence, at the level of α=0.05, that the average number of hours worked per week at part-time jobs decreased after the salary increase?
(A) No. The p-value of the appropriate test is greater than 0.05.
(B) No. The p-value of the appropriate test is less than 0.05.
(C) Yes. The p-value of the appropriate test is greater than 0.05.
(D) Yes. The p-value of the appropriate test is less than 0.05.
(E) Not enough information is given to determine whether there is convincing statistical evidence
answer a show work, please
Answer:
B - No. The p-value of the appropriate test is less than 0.05
Step-by-step explanation:
I found it online in some answer key pdf
From the solution to the question that we have here, the answer is A. There is no convincing evidence that the hours worked decreased after the increase in salary.
The hypothesis formulationH0: u = 13
H1: u < 13
sample size n = 400
bar x = 12.5
mean = 13
How to solve for the t test statistics[tex]t = \frac{x-u}{s/\sqrt{n} } \\\\t = \frac{12.5-13}{6.5/\sqrt{400} } \\[/tex]
= -1.5388
degree of freedom: 400 -1 = 399
∝ = 0.05
Find the p value
p(t < -1.5385)
= 0.062
The p value is greater than the level of significance. We therefore fail to reject the null hypothesis.
Read more on statistics here:
https://brainly.com/question/19243813
A major car manufacturer wants to test a new engine to determine if it meets new air pollution standards. The mean emission, μ, of all engines of this type must be approximately 20 parts per million of carbon. If it is higher than that, they will have to redesign parts of the engine. Ten engines are manufactured for testing purposes and the emission level of each is determined. Based on data collected over the years from a variety of engines, it seems reasonable to assume that emission levels are roughly Normally distributed with σ = 3 parts per million of carbon. What are the appropriate null and alternative hypotheses?
Answer:
Step-by-step explanation:
the appropriate null and alternative hypotheses's are something
Reuben made $247 for 13 ours of work.
At the same rate, how many hours would he have to work to make $171 ?
pls help!!!
Answer:
9 hours
Step-by-step explanation:
We can use a ratio to solve
247 dollars 171 dollars
---------------- = -------------
13 hours x hours
Using cross products
247* x = 13*171
247x =2223
Divide each side by 247
247x/247 =2223/247
x=9
Find the value of cos 0 , If sec 0 = 3/2 0 < 90
Answer:
Step-by-step explanation:
cos theta is 2/3 because cos means reciprocal of sec
Answer:
option C
Step-by-step explanation:
[tex]sec\theta = \frac{1}{cos\theta}\\\\\frac{3}{2}= \frac{1}{cos\theta}\\\\cos\theta = \frac{1}{\frac{3}{2}} = \frac{2}{3}[/tex]
Does anyone know what 9x*3x/4 is?
Answer and Step-by-step explanation:
We are given the expression [tex]\frac{9x * 3x}{4}[/tex].
First, we need to multiply 9x by 3x. This results us with [tex]27x^2[/tex].
[tex]\frac{27x^2}{4}[/tex] -- This is the final expression simplified. There isn't anything else we can do this expression, as it is not factorable and can't be simplified any further.
#teamtrees #PAW (Plant And Water)
John’s Rectangle is _____ units long.
John’s Rectangle is _____ units wide.
The area of John’s rectangle is ____ units^2.
Answer:
John's rectangle is 4 units long
John's rectangle is [tex]3\frac{1}{2}[/tex] units long
The area of John's rectangle is 14 units^2
Step-by-step explanation:
A rectangle has four sides that comprise of two pairs of equal length sides
The side which is the longest side of a rectangle is known as the length, L, of the rectangle
The side which is the shortest side of a rectangle is known as the width, W of the rectangle
Based on the given measurement, the length of the given rectangle which is the length of longest side of the rectangle, which is the 4 units length side
Therefore;
∴ John's Rectangle is L = 4 units long
the width of the given rectangle which is the length of shortest side of the rectangle, which is the side with lengths 3 units and 1/2 units length side
∴ The length of the shortest side of the rectangle, W = 3 units + 1/2 units = 3 1/2 units
∴ John's rectangle is W = [tex]3\frac{1}{2}[/tex] units wide
The area of John's rectangle, A = L × W
∴ The area of John's rectangle, A = 4 units × [tex]3\frac{1}{2}[/tex] units = 14 units².
need this asapppp pleaseeeeeeeeeeeeeee
Answer:
D
Step-by-step explanation:
They both share a line/arm, and have the same vertex meaning they are exactly side by side like very close.
Miss Tillman wanted to cover a box and yellow paper if the box is 5 feet tall 5 feet wide and 4 feet long how much paper does she need
Answer:10
Step-by-step explanation:
How many solutions does this system have?
y=3/4x-5
-3x+4y=-20
O one
O two
an infinite number
O no solution
Answer:
Infinite number
Step-by-step explanation:
Is it possible for the line segments of a triangle to be 6 cm, 7 cm, and 12 cm in length?
Yes or No? And why?
Answer:
Yes because sum of 2 line segment is greater than the third side
Step-by-step explanation:
A square has an area of 24 square inches. What is the length of the side of the square to the nearest tenth?
Answer:
4.9 sq inches
Step-by-step explanation:
the side of the square = √24 = 4.9 sq. inches
Kyle ran 8 miles. One kilometer is approximately 0.62 miles. Which measurement is closest to the number of kilometers Kyle ran?
Answer:
4.96 Kilometers
Step-by-step explanation:
Answer:
12.9 kilometers
Step-by-step explanation:
Find how many kilometers Kyle ran by dividing 8 by 0.62:
8/0.62
= 12.9
So, Kyle ran approximately 12.9 kilometers
ABCD is a quadrilateral work out angle x
Answer:
Step-by-step explanation:
BD = 10CM
sin(b) = (sin(29)/10) x 13
X = 39.06cm
Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and inches tall. What was the volume of each cup?
Answer:
47.14 in³
Step-by-step explanation:
Here is the complete question
Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and 5 inches tall. What was the volume of each cup?
Volume of a cone = [tex]\frac{1}{3}[/tex]πr²h
π = 22/7
Radius = diameter / 2 = 6 /2 = 3 inches
(1/3) x (3^2) x (22/7) x 5 = 47.14 in³
Choose the inequality that represents the following
graph.
+
-3
1
1
-5
-4
-2
-1
0
2
3
4
5
Answer:A
Step-by-step explanation:
The circle is open eliminating the equal to options, then look at the arrow, which is going negative showing x < 5
Evaluate the expression (1/3)^2
Answer:
1/9 :)
Step-by-step explanation:
use the power rule, square both numerator and denominator, 1^2 = 1 3^2 = 9
hope this helps!!!!
HELP ME PLEASE DON'T UNDERSTAND THIS AS WELL
Answer:
angle 78 corresponds with 1 and it also alternate s with 3. they are all equal in the first one
Shakira went bowling with her friends. She paid $3 to rent
shoes and then $4.75 for each game of bowling, if she spent a
total of $23, then how many games did Shakira bowl?
Wri
Did you solve using an equation or an inequality?
Explain why using the lines below.
Answer:
= # of games playing
4.75x + 3 = 42
4.75x = 39
x = 39 /4.75
x = 8.21
answer
Shakira played about 8 games
Step-by-step explanation:
Question 1: The sum of two consecutive multiples of 5 is 55. Find these multiples. Question 2: The present age of Sahil's mother is three times the present age of Sahil. After5 years their ages will add to 66 years. Find the present ages. Question 3: The perimeter of a rectangle is 13 cm and its width is 2- cm. Find its length.
Answer:
1] Two consecutive multiples = 50,55. 2] Sahil , Mother current age = 13,42 3] Length of rectangle = 4.5
Step-by-step explanation:
1] Let one multiple of 5 be = n. As there are two consecutive multiples, other multiple = n + 1. Given : sum of two consecutive multiples of 5 is 55
So, 5n + 5(n+1) = 55
5n + 5n + 5 = 55 ; 10n + 5 = 55 ; 10n = 50 - 5 = 50 ; n = 50 / 10 ; n = 5
n {One multiple} = 5 ; Other multiple {n+1} = 5 + 1 = 6
2] Let present age of Sahil be = x. So, present age of Sahil mother = 3x
5 years hence : (x+5) + (3x+5) = 66 {Equation 1}
Solving Eq 1} : x + 5 + 3x + 5 = 66 ; 4x + 10 = 66 ; 4x = 66 - 10 ; 4x = 56
x = 56/4 ; x = 14 {Sahil Current Age}. Mother current age = 3x = 3 x 14 = 42
3] Perimeter of rectangle = 2 (Length + Width). Perimeter = 13 , Width = 2.
So, 13 = 2 (L +2) ; 13 = 2L + 4 ; 2L = 13 - 4 = 9 ; L = 9/2 ; Length = 4.5
Helpp!!
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotient.
Answer:
6
Step-by-step explanation:
Find the solution set of the inequality 3- x5 > -2
I have been attempting this question for awhile and would like someone to give me an exact answer. Ill give a decent bit of points. Here is the question copy and pasted from the quiz (its glitched a fair bit) Find the solution set of the inequality 3-\frac{x}{5}\geq
-23−
5x
≥−2.
Answer:
In <STU, the measure of <U=90°, TS = 73, SU = 55, and UT = 48. What ratio
represents the sine of <S? what would this be?
Which expression is equivalent to the expression for the perimeter of the larger garden. Select all the apply.
Answer:
Option A, 4X + 40 expression is equivalent to the expression for the perimeter of the larger garden
Step-by-step explanation:
The complete question is
A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden: (x+15)+(x+5)+(x+15)+(x+5). Which expression is equivalent to the expression for the perimeter of the larger garden? Select all that apply.
4x+40 2(2x+20) 2(x+15)(x+5) 4(x+15)(x+5) 2(x+15)+2(x+5)Solution
The expression for the perimeter of the larger garden: [tex](x+15)+(x+5)+(x+15)+(x+5)[/tex]
If the given expression is expanded and solved, we get the following
[tex](x+15)+(x+5)+(x+15)+(x+5)\\X+X+X+X + 15+15+5+5\\2X+2X+30+10\\4X +40[/tex]
Hence, option A is correct
If the measurement of angle 3 is 120 degrees, what is the measurement of angle 5?
help me asap please!!!!!
Answer:
It's C.
Step-by-step explanation:
The area of a triangle is base times height times 1/2. The base times the height of that triangle is 66. 66 times 1/2 is 33. So, the correct answer is C.
Answer:
66 cm
Step-by-step explanation
11cm x 6 cm= 66cm
HELP PLEASE!
In this figure shown, EF is the mid segment of trapezoid ABCD. Find EF.
Answer:
x = 2
Step-by-step explanation:
EF = ½(BC + AD) => Trapezoid Midsegment theorem
Substitute
5x + 4 = ½((4x + 1) + (7x + 5))
5x + 4 = ½(4x + 1 + 7x + 5)
Multiply both side by 2
2(5x + 4) = 4x + 1 + 7x + 5
10x + 8 = 4x + 1 + 7x + 5
10x + 8 = 11x + 6
Collect like terms
10x - 11x = -8 + 6
-x = -2
Divide both sides by -1
x = 2