Answer:
A) t = 0.25 s
B) h = 25 m
Step-by-step explanation:
Given equation: [tex]h(t) = -16t^2 + vt + s[/tex]
where:
h = height above water (in feet)t = time (in seconds)v = initial upwards velocity = 8 ft/ss = initial height = 24 ftA) To find the value of t when h is at its maximum, differentiate the equation with respect to t:
[tex]\implies h'(t)=-32t+v[/tex]
Substitute given value of v:
[tex]\implies h'(t)=-32t+8[/tex]
Set to zero and solve for t:
[tex]\implies -32t+8=0[/tex]
[tex]\implies t=0.25 \textsf{s}[/tex]
B) Substitute the found value for t into the equation and solve for h:
[tex]\implies h(0.25) = -16(0.25)^2 + 8(0.25) + 24[/tex]
[tex]\implies h(0.25) = -1 + 2 + 24[/tex]
[tex]\implies h(0.25) =25 \textsf{ m}[/tex]
The local cinema sells student tickets for $7.25. A school paid a total of $203 for a class of students to attend the cinema. Which equation can be used to determine the number of students, s that are in this class?
choose the sentence that complete the fact family like 2×9=18 18÷9=2 9×2=18 is it a 36÷2=18 b 18÷6=3 c 36÷18=2 d 18÷2=9 is it abc or d
1/3 of 3 feet = how many inches
Answer:
12 Inches
Step-by-step explanation:
3 ÷ 3 = 1
1 feet is 12 inches
Need help please with this math question
Answer:
1/20=5%
Step-by-step explanation:
What is the volume of the right rectangular prism below?
Answer:
C
Step-by-step explanation:
2 in. x 1 1/4 in. x 1 1/2 in. = 2/1 in. x 5/4 in. x 3/2 in. = 30/8 cubic inches = 3 6/8 = 3 3/4 cubic inches
Do not understand it??
8 ounces ____ 1/4 pound
Which one is bigger,equal or less
Answer: GREATER
Step-by-step explanation:
1/4 of a pound is 0.125 divided by 4 please correct if wrong 8 ounces to a pound would be 0.5/0.50
A line passes through the point (-10,-7) and has a slope of
2 Write an equation in slope-intercept form for this line.
Answer: Below
Step-by-step explanation:
so using slope intercept form, we know that y = mx + b. We plug in our values. Since -10 is the x value and -7 is the y value, and 2 is the slope:
-7 = 2(-10) + b
Simplify.
-7 = -20 + b
13 = b
We plug b into the slope intercept form, this time without an x or y value to make it apply to all points on the line.
y = 2x + 13
That's our answer.
A person rolls a standard six-sided die 6 times. In how many ways can he get 3 fours, 2 ones, and I two?
Answer:
Good afternoon! no. of ways = 10! / [ 6! * 3! * 1!]
= 840
So the answer is 10.
_AnnieTheDreamGirl, 3/8/2022
Question 4 of 5
Find the height of a cone with a diameter of 12 m whose volume is 340 m2
Use 3.14 for tr and round your answer to the nearest meter.
12 m
A. 28 m
O B.2 m
O C. 12 m
O D. 9m
Answer:
h = 9 m
Step-by-step explanation:
[tex]V_{cone}=340\: m^3[/tex]
diameter (d) = 12 m
[tex]\implies radius\:(r)= \frac{12}{2}=6\:m[/tex]
[tex] \because \: V_{cone}= \frac{1}{3} \pi {r}^{2} h \\ \\ \implies \: h = \frac{3V_{cone}}{\pi {r}^{2} } \\ \\ \implies \: h = \frac{3(340)}{3.14 {(6)}^{2} } \\ \\ \implies \: h = \frac{1020}{113.04} \\ \\ \implies \: h = 9.02335456 \\ \\ \implies \: h \approx 9 \: m[/tex]
In a certain class, 25% of students wear
glasses. If 6 students wear glasses, how many
students are in the class?
1. Assume that segments that appear to be tangent are tangent.
Find ML to the nearest tenth.
2. Assume that segments that appear to be tangent are tangent.
Find WY.
1. Applying the pythagroean theorem, ML = 6.4.
2. Applying the two tangents theorem, WY = 37.
What is the Two Tangents Theorem?The two tangents theorem states that two tangents drawn from a circle to meet at a point outside the circle are congruent.
Thus:
1. ΔJKL is a right triangle, find JL using the Pythagorean theorem:
JL = √(16² - 9.6²)
JL = 12.8
Therefore:
ML = 1/2(JL)
ML = 1/2(12.8) (radius of circle)
ML = 6.4.
2. Based on the two tangents theorem, we have:
43 - 2x = 12x + 1
-2x - 12x = -43 + 1
-14x = -42
x = 3
WY = 43 - 2x
Plug in the value of x
WY = 43 - 2(3)
WY = 37
Learn more about the two tangents theorem on:
https://brainly.com/question/9892082
If 60% of a number is 90, what is the number
Answer:
60% in a fraction is: 60/100
60/100 of a variable, x, is equal to 90.
So we format it this way and solve for x;
60/100 * x = 90
60/100x = 90
0.6x = 90
/0.6 /0.6
x = 150, is the number.
Solve both Question related to Volume of Solids. 50 Points
Given for the cone:
base radius: 3aperpendicular height: 4agiven for the spheres:
radius: aFind volume of cone:
[tex]\sf \hookrightarrow \dfrac{1}{3} \pi r^2h[/tex]
[tex]\sf \hookrightarrow \dfrac{1}{3} \pi (3a)^2(4a)[/tex]
[tex]\sf \hookrightarrow 12\pi a^3[/tex]
Find volume of sphere:
[tex]\sf \hookrightarrow \dfrac{4}{3} \pi r^3[/tex]
[tex]\sf \hookrightarrow \dfrac{4}{3} \pi a^3[/tex]
Divide volume of cone by volume of sphere:
[tex]\sf \hookrightarrow \dfrac{12\pi a^3}{ \dfrac{4}{3} \pi a^3}[/tex]
[tex]\rightarrow 9[/tex]
Therefore proved 9 such spheres can be made using the metal cone.
We know that volume of cone is [tex]12\pi a^3[/tex]
[tex]\sf \rightarrow 12\pi a^3 = 12936[/tex]
[tex]\sf \rightarrow a^3 = \dfrac{12936}{12\pi}[/tex]
[tex]\sf \rightarrow a = \sqrt[3]{\dfrac{12936}{12\pi}}[/tex]
[tex]\sf \rightarrow a =7[/tex]
Therefore the radius of sphere is 7 cm
suppose there is a normally distributed population with a mean of 250 and a standard deviation of 50. if xbar is the average of a sample of 36, find P(246
Using the normal distribution and the central limit theorem, it is found that:
[tex]P(246 \leq \bar{x} \leq 260) = 0.5693[/tex]
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of [tex]\mu = 250[/tex].The standard deviation is of [tex]\sigma = 50[/tex].A sample of 36 is taken, hence [tex]n = 36, s = \frac{50}{\sqrt{36}} = 8.3333[/tex].The probability of a sample mean between 246 and 260 is the p-value of Z when X = 260 subtracted by the p-value of Z when X = 246, hence:
X = 260:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{260 - 250}{8.3333}[/tex]
[tex]Z = 1.2[/tex]
[tex]Z = 1.2[/tex] has a p-value of 0.8849.
X = 246:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{246 - 250}{8.3333}[/tex]
[tex]Z = -0.48[/tex]
[tex]Z = -0.48[/tex] has a p-value of 0.3156.
0.8849 - 0.3156 = 0.5693, hence:
[tex]P(246 \leq \bar{x} \leq 260) = 0.5693[/tex]
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Prism A is a dilation of Prism B. The height of Prism A is 612 ft, and the volume of Prism A is 8734 ft³. The height of Prism B is 314 ft.
What is the volume of Prism B?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
volume of prism B=4481.16993463 ft^3
Step-by-step explanation:
Prism B's height was multiplied by the scale factor to get prism A's height.
So x is the scale factor and 314x=612
x=1.949
volume of prism A is volume of prism B multiplied by x
8734=1.949(volume of prism B)
Volume of prism B=4481.16993463 ft^3
Answer:
10 31/32
Step-by-step explanation:
I took the k12 test
y = 5 and y = -1
Is it parallel,perpendicular or neither
Answer:
Parallel
Step-by-step explanation:
The graphs of these two equations will never intersect. Hope this helps.
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!
Answer:
option c
Step-by-step explanation:
Quadratic function in vertex form:
y = a(x - h)² + k
Where (h, k) is the vertex
vertex(5 , 12)
y = a(x - 5)² + 12
This passes through (8, 9)
9 = a(8 - 5)² + 12
9 = a(3)² + 12
9 = 9a + 12
9 - 12 = 9a
9a = -3
a = -3/9
a = -1/2
[tex]Answer:\ y = \dfrac{-1}{3}(x - 5)^{2}+12[/tex]
There are 145 students at a small school and 41 of them are freshman. What fraction of the students are freshman
Answer: 41/145
Step-by-step explanation:
Freshmen/Total students = 41/145
Find the factors pairs of 78
Answer:
Therefore, the pair factors are (1, 78), (2, 39), (3, 26), and (6, 13).
Give me brainliest answer
Answer:
1 x 78, 2 x 39, 3 x 26, 6 x 13
Step-by-step explanation:
Factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78.
what is the sum of -4y+3 and 11y-5, i will give brainliest
Answer:
so the answer is 7y - 2 (i think)
Step-by-step explanation:
you just have to minus 11y and 4y then add 3 - 5
please mark me brainliest
Answer:
7y - 2
Step-by-step explanation:
solving variable and constant terms separately,
variable term:
-4y + 11y = 7y
constant term :
-5 + 3 = -2
together:
7y - 2
Logan has a budget of $400 to have family pictures taken. There is a sitting fee of $38. Prints cost $25 per page. How many pages of prints can Logan order?
Answer:
14
Step-by-step explanation:
You take the 400 and you minus 38 you get 362 then u divide that by 25 you get 14.48. I personally would just go with 14
evaluate the expression 6n^2-15 when n=5
Hey there!
6n^2 - 15
= 6(5)^2 - 15
= 6(5^2) - 15
= 6(5 * 5) - 15
= 6(25) - 15
= 150 - 15
= 135
Therefore, your answer is: 135
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Helppp!
a. box 1: always, sometimes , never / box 2: remain ,do not remain
b. box 1: always, sometimes , never/ box 2: always, sometimes , never
c. box 1 : always, sometimes , never/ box 2: remain, not remain/ box 3: remain, not remain
d. box 1 : awlays, sometimes, never/ box 2 : an equal distance, different distance/ box 3 : some, all, no
e. box 1 : awlays, sometimes, never/ box 2 : would, would not / box 3 : all, no.
Answer:
They are all correct i think
Step-by-step explanation:
What quadratic function bests fits this data?
(refer to the picture)
A) y= -9.38x^2 + 74.80x + 186.1
B) y= -9.38x^2 -74.80x+186.1
C) y= 9.38x^2 - 74.80x + 186.1
D) y= 9.38x^2 + 74.8x + 186.1
yall I need help with Algebraic Experrion could yall like help me with a & b & c with the work it would really help me
Thank you! <3
Answer:
A) is 9b
B) is 2
C) is 3y+6
Step-by-step explanation:
A) (b)(2+7)
=(b)(2) + (b)(7)
= b2+b7
=b9
B) (2)(4-3)
= (2)(1)
= 2
C) 3(2+y) =(3)(2+y)
=(3)(2)+(3)(y)
=6+3y
=3y+6
A dilation produces a smaller figure. Which is a possible scale factor? –2 One-third 1 4
Answer:
1/3 (one-third)
Step-by-step explanation:
A scale factor that produces an image smaller than the original figure is less than 1. A scale factor that produces an image bigger than the original figure is more than 1.
Thus, the only option that's less than 1 is one-third.
The measure of the
central angle of a circle
is 74°. What is the
measure of the
intercepted arc?
Answer: 74 degrees
Step-by-step explanation:
The measure of a central angle is equal to the measure of the arc that it intercepts.
The price of an all-access ticket to the fair is $42.99 before tax. Roland bought the all-access ticket for 40% off. He then paid 7% sales tax on the discounted price. Part A: How much did Roland pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Roland paid for the ticket? Show all work and steps in your solution.
Answer:
See below
Step by step explanation:
Here it is given that , the price of a ticket is $42.99 before tax . And he got a discount of 40% . So the cost after discount will be ,
[tex]\longrightarrow Cost = \$ 42.99 - \$42.99\times \dfrac{40}{100} \\[/tex]
Simplify ,
[tex]\longrightarrow Cost = \$ 42.99 - \$17.196 \\[/tex]
[tex]\longrightarrow Cost = \$ 25.79 [/tex]
Again it is given that he paid a tax of 7% on the discounted price . So the tax paid in dollars will be ,
[tex]\longrightarrow Tax = 7\% \ of \ \$25.79\\ [/tex]
Simplify ,
[tex]\longrightarrow Tax = \dfrac{7}{100}\times \$ 25.79 [/tex]
[tex]\longrightarrow \underline{\underline{ Tax =\$ 1.80 }} [/tex]
Answer of Part A : He paid a sales tax of $1.80 .
Now the total amount paid can be calculated by adding sales tax to the cost after discount .
[tex]\longrightarrow Total\ Amount = \$ 25.79 +\$ 1.80\\ [/tex]
Add ,
[tex]\longrightarrow \underline{\underline{ Total \ Amount = \$ 27.59}} [/tex]
Answer of Part B : The total amount paid by Ronald for ticket is $27.59 .
ayuda por favor
Resta: 4805 - 1568
Answer:
4805 - 1568 = 3237
Please mark as brainliest;)