Answer:
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Step-by-step explanation:
We are given that
Height of crest, h=108 feet
Time for one cycle, T=1.9 s
We have to find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.
We are given
[tex]y=Asin(\omega t-\phi)+B[/tex]
Amplitude,[tex]A=\frac{108-4}{2}=52 feet[/tex]
[tex]B=A+4=52+4=56 feet[/tex]
[tex]\omega=\frac{2\pi}{T}[/tex]
Using the formula
[tex]\omega=\frac{2\pi}{1.9}=3.3/s[/tex]
We assume,
Horizontal shift [tex]\phi=-\frac{\pi}{2}[/tex]
Substitute the values
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Hence, the sinusoidal function that models the motion of the coaster train during this run starting at the top of a hill is given by
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
5
7
−
2
+
7
=
1
1
1
Answer:
Step-by-step explanation:
57-2=55
55+7=62
it does not equal 111
Slope= 0 ; y-intercept=10 equation of the line
g An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 ounce. Suppose that you select a sample of 25 oranges. a. What is the probability that the sample mean amount of juice will be at least 4.60 ounces
Answer: An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 4. ounce. hope i helped
Step-by-step explanation:
The table shows a function. Is the function linear or nonlinear?
x y
7 20
8 12
9 7
A box of cereal contains 16 cups. If each bowl holds 1 1/3 cups of cereal, how many bowls of cereal will you get out of the box?
Answer:
the answer is 12
Step-by-step explanation:
(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
Figure #1
use the smaller part of the figure with the dimensions of 1x2x3 and find the volume of that 1x2x3= 6m
find the area of the bigger part 3x6x3= 54m
54+6= 60m³
Figure #2
smaller part 2x2x7= 28m
bigger part 7x5x3= 105m
105+28= 133ft³
Answer:
v= LxWxH
3x5x2x7x5x7=7350
1x2x4x3x6x3=432
Blakes goes from averaging 8 hours of sleep for a school night to averaging 6.5 hours of sleep on the weekend. What is the percent of change in the average hours of his sleep? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK. DO NOT BOTHER ANSWERING IF YOU DO NOT TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)
Answer:
Step-by-step explanation:
So Blakes sleep 8 hours per night during the school day
8 hours/night...................................100%
6.5 hours/night...................................?
6.5*100/8=81.25
the change in percentage is 100-81.25=18.75%
the percentage change is 18.75
if it is easier for you, another method is:
8-6.5=1.5 subtract the original amount to the new amount
1.5/8=0.1875 divide by the original amount
0.1875*100=18.75 find the percentage
The measure of the complement of a 69° angle is
Andre has a puppy that weighs 9 pounds the vet says the puppy is now at 30% of its adult weight what will the adult weight of Andres puppy be
The adult weight of the puppy of Andre puppy be 30 pounds.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Andre has a puppy that weighs 9 pounds.
The vet says the puppy is now at 30% of its adult weight.
Let n pounds be the weight of an adult.
Using the percentage formula,
9 = 30 x n /100
n = 900/30
n = 30 pounds
Therefore, adult puppy weight is 30 pounds.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?
Answer:
There are two ways of decomposing these shapes, Into two rectangles and one triangle!
Step-by-step explanation:
Just did this on EDMENTUM you got thiss!
Dont forget to eat a brownie! <3
Answer:
There are two ways of splitting the shape into two rectangles and one triangle.
Step-by-step explanation:
5÷480 I’m trying to figure this out but when I get my answer it has a remainder
Answer:
The answer is 96.
Step-by-step explanation:
5 goes into 48, 9 times. 48 minus 45 is 3, bring down the zero to get 30. 5 goes into 30 6 times. So 30 minus 30 equals zero.
Consider the expression.
6 · 60 · 6–3
Which statements are true about the expression? Check all that apply.
The 6 without an exponent is equivalent to the 6 having a 0 exponent.
The sum of the exponents is 2.
Multiply the exponents to simplify the expression.
The expression has a value of StartFraction 1 Over 36 EndFraction.
An equivalent expression is 65 · 6-7.
Answer:
4. The expression has a value of 1/36 . True
5. An equivalent expression is (6)^5. (6)^- 7 True
Step-by-step explanation: Not true. The 6 without an exponent is equivalent to the 6 having a 0 exponent.
Any number having an exponent zero has a value equal to 1.
6 · (6)^0 · (6)^–3
= 6.1.1/216
= 1/36
= (6)^-2
2. The sum of exponents is 2.
False ( the sum of exponents is -2)
3.Multiply the exponents to solve the expression .
False when the bases are the same the exponents are added or subtracted.
4. The expression has a value of 1/36 .
True
5. An equivalent expression is (6)^5. (6)^- 7
True
the correct answers are D and E. I just got this right. hope it helps
An item has a listed price of $75 . If the sales tax rate is %9 , how much is the sales tax (in dollars)?
Answer:
$6.75
Step-by-step explanation:
9% of 75 = 6.75
.09 × 75 = 6.75
Brandon treated his friends to lunch which cost him $32.60. He left a 20% tip for the waitress. How much was his total bill including tip?
Answer:
39.12
Step-by-step explanation:
First you find 20% of 32.60
32.6 * 20/100
32.6 * 0.2
= 6.52
So the tip is $6.52
Add the tip and the regular cost
32.60 + 6.52 = 39.12
$39.12 is the total amount he paid
Michael draws a scale model of a shed for his engineering class. It is made from a triangular prism on top of a rectangular prism. The volume of the shed is 966 cubic inches. The congruent sides of the triangle are 7.8 inches. A. What is the depth of the shed?
in a box of colored light, 1/2 of the light are red, 1/3 of the light are blue, and 1/6 lf the lights are green. the number of lights in the box is greater than 10. what ia the smallest number of lights that could be in the box?
Answer:
Step-by-step explanation:
Identify the constant term in this expression.
8x + 4y + xy + 1
Please help
The like terms are the terms that can be put
together. (9x) and (3x) are like terms because
they both have an x attached. (–5) and (3) are
like terms because they have nothing attached.
Simplify
8sqrt48-6sqrt75+7sqrt80
Answer:
2[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
Step-by-step explanation:
= 8 [tex]\sqrt{16}[/tex][tex]\sqrt{3}[/tex] - 6[tex]\sqrt{25}[/tex][tex]\sqrt{3}[/tex] + 7[tex]\sqrt{16}[/tex][tex]\sqrt{5}[/tex]
= 8(4)[tex]\sqrt{3}[/tex] - 6(5)[tex]\sqrt{3}[/tex] + 7(4)[tex]\sqrt{5}[/tex]
= 32[tex]\sqrt{3}[/tex] - 30[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
A company is expanding its building area from 13,500 square feet to 19,440 square feet. What is the percentage increase of the area of the building space?
A.
4.4%
B.
44%
C.
59.4%
D.
56%
Pls help me this is 7th grade (ADVANCED)
Answer:
it (6,18,23)
Step-by-step explanation:
How do I solve this......?
Answer:
1.0.87
2.87/100
3.25%
4.0.25
5.35%
6.7/20
Step-by-step explanation:
Which of the following words can be used to describe the triangle?
Answer:
It's a because an isosceles is a triangle!
Directions: select the correct answer from the drop-down menu.
Answer:
B
Step-by-step explanation:
B.) infinite solutions.
The reason I say this is because there is an arrow pointing down past the number line meaning that the number line never ends.
Hope this helps.
。 . . 。 ඞ ඞ ඞ ඞ ඞ ඞ ඞ 。 . • . [Northstar] was ejected. . . 。 . 。 ﾟ . . , . . .. 。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。
find a, geometry help !
Answer:
the answer would be i think im right 7
Step-by-step explanation:
Will mark brainliest!!
The graph shows Wilson's science scores versus the number of hours spent doing science homework.
What will most likely be Wilson's approximate science score if he does science homework for 6 hours a week?
33 points
42 points
52 points
55 points
Answer:
55 points
Step-by-step explanation:
equation is close to y = 7.1x + 15
y = 7.1(6) + 15 comes closest to 55
Victor has some model planes. Last weekend, Victor and his grandfather built four more model planes to add to his collection. Now Victor has a total of 42 model planes.
Part A: In the first box, enter an equation to represent the number of planes, x, Victor originally had.
Part B: In the second box, enter the number of planes represented by x in this situation.
Answer:
x = 42 - 4
x = 38
Step-by-step explanation:
Given that :
Initial number of plane models = x
Number of additional models built = 4
Total number of planes = 42
Total = initial amount + additional amount
42 = x + 4
Make x the subject
42 - 4 = x + 4 - 4
x = 42 - 4
X + 4 = 42
X = 42 - 4
X = 38
Please help. Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box
Answer:
[tex]x =13.7[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
The relationship between x, 47 and [tex]17^{\circ}[/tex] is:
[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]
i.e.
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
Solving further:
[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]
Make x the subject
[tex]x = 47 * sin(17^{\circ})[/tex]
[tex]x = 47 * 0.2924[/tex]
[tex]x =13.7428[/tex]
[tex]x =13.7[/tex] --- approximated
A student started out poorly on his first mathematics test. However, he doubled his score on each of the next two tests. The third test grade was 100. What was the student’s average test grade? Round to the nearest tenth.
There are 31 students in a class.
The only languages available for the class to study are French and Spanish.
17 students study French.
15 students study Spanish.
6 students study neither French nor Spanish,
Using a Venn diagram, or otherwise, work out how many students study only one
language.
Answer:
24 students where studying one language
Step-by-step explanation:
150 into the ratio 4:11
9514 1404 393
Answer:
40 : 110
Step-by-step explanation:
There are a number of ways you can go at this. One of my favorite is to consider the value of a "ratio unit." Here, a total of 4+11 = 15 "ratio units" represent the total to be divided: 150. So the value of each one is ...
150/15 = 10
Then the division is ...
4 : 11 = 10·4 : 10·11 = 40 : 110
_____
Alternate solution
Let x represent the larger share. Then the ratio is ...
(150 -x) : x = 4 : 11
Cross-multiplying gives ...
11(150 -x) = 4x
1650 = 15x . . . . . add 11x, simplify
110 = x . . . . . . . . . divide by 15; the larger share
150-x = 150-110 = 40 . . . . . . the smaller share
The division is 40 : 110.
