Answer:
The rocket will hit the ground after about 11.63 seconds.
Step-by-step explanation:
A rocket is launched from a tower. Its height y in feet after x seconds is modeled by the equation:
[tex]y=-16x^2+181x+59[/tex]
We want to determine the time at which the rocket will hit the ground.
If it hits the ground, its height y above the ground will be 0. So, we can set y = 0 and solve for x:
[tex]0=-16x^2+181x+59[/tex]
Solve the quadratic. Factoring is too tedious or impossible, and completing the square is also very tedious. So, we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = -16, b = 181, and c = 59. Substitute:
[tex]\displaystyle x=\frac{-(181)\pm\sqrt{(181)^2-4(-16)(59)}}{2(-16)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{-181\pm\sqrt{36537}}{-32}[/tex]
Simplify:
[tex]\displaystyle x=\frac{181\pm\sqrt{36537}}{32}[/tex]
Hence, our solutions are:
[tex]\displaystyle x=\frac{181+\sqrt{36537}}{32}\approx 11.63\text{ or } x=\frac{181-\sqrt{36537}}{32}\approx-0.32[/tex]
Since time cannot be negative, we can ignore the second solution.
So, the rocket will hit the ground after about 11.63 seconds.
I need help on this!!
Study guide for exam
The circle have the same question.
No links
Answer: Picture pls
Step-by-step explanation:
.
5 times the sum of 24 and 7
Answer:
Your answer should be 155!
Step-by-step explanation:
Sum means to add, so 24 + 7 = 31
31 x 5 = 155
I hope this helps!
A summation, also called a sum, is the result of arithmetically adding numbers or quantities. 155 is the answer for 5 times the sum of 24 and 7.
What is Sum?A summation, also called a sum, is the result of arithmetically adding numbers or quantities.
Given,
5 times the sum of 24 and 7
Sum is nothing but addition.
When we see the word sum it means we are adding some value with other factor. In the given problem 24 and 7 are added.
Times means multiplication.
We have to convert 5 times the sum of 24 and 7 to expression.
When we see times, it means product or we are multiplying a number with the other number. Here with 5 we are multiplying the sum of 24 and 7.
5×(24+7)
Firstly we calculate value in parenthesis.
twenty four plus seven is thirty one.
5×31
The product of 5 and 31 is 155.
155
Hence 155 is the answer for 5 times the sum of 24 and 7.
To learn more on Sum click:
https://brainly.com/question/13013054
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need help ASAP !! A line segment has endpoints(3,14) and (3,22) which of the following statements is true?
Answer:
the answer is b. the segment has a length of 8 units vertical.
Step-by-step explanation:
You try to explain the number of IBM shares traded in the stock market per day in 2005. As an independent variable you choose the closing price of the share. This is an example of A. invalid inference due to a small sample size. B. sample selection bias since you should analyze more than one stock. C. simultaneous causality.
Answer:
This is an example of
C. simultaneous causality.
Step-by-step explanation:
Simultaneous causality eliminates the conclusion that is often taken for granted to the effect that one variable is a response variable while the other is an explanatory variable because the two variables, the price and the number of shares, influence each other at the same time. When more shares are traded than demanded in the stock market in any day, the price tends to go down, and vice versa.
From $25 to $35
The percent increase is
Answer:
40 percent
Step-by-step explanation:
Start by taking the difference of the two values:
35-25 = 10.
the $10 is how much the value increased by.
To get the percent that the $25 increased by, take 10/25 to get .4
This .4 can then be turned into a percentage when you multiply it by 100. = 40 percent.
You can check your answer by finding 40 percent of 25, which is 10.
plz help me this for my grade
Answer:
[tex]\text{Equation: }V=5\cdot 4\cdot 6,\\\text{Volume: }120\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex].
Thus, we have the equation:
[tex]V=5\cdot 4\cdot 6[/tex]
Solving, we get:
[tex]V=5\cdot 4\cdot 6=\boxed{120\:\mathrm{in^3}}[/tex].
Answer:
120
Step-by-step explanation:
length time width time height
6 times 4 times 5
would be you equation the 120 would be your volume
heeeeeeeeeeeelppppppppppppppppppppppppppppp
1. The Agent Earned $6,303
First, the real estate agency will earned 5.5%
5.5/100 * $382,000 = $21,010
Then, the agent earns 30% of $21,010
30/100 * $21,010 = $6,303
2. Basically, we're setting up an equation where Option A and Option B are the same amount.
For option A, you are making 23 dollars each hours, for 40 hours. (40*23)
For option B, you are making 4% of your sales. We're looking for how much she sells, so we can write that as x. (.04x)
Set the 2 options as equal and solve for x. so x is 920(.04x
sorry if wrong it was really hard
3. If 90% are women, 10% are men.
If x is the total amount of people.
.1x = 320
Solve x from here.
FIANNLY IM DONE
Angle Relationships
For the triangle above, find sin B.
a. 25°
b. 0.385
c. 0.923
d. 18°
Please select the best answer from the choices provided
Answer:
c
Step-by-step explanation:
12/13=0.923 , and also sinb is ac/ab
Answer:
C. 0.923
Step-by-step explanation:
I calculated it logically
у= 3х-5
у = 3х+12
Please help ASAP for my lil sister
Answer:
0
Step-by-step explanation:
The equation is undefined.
Find the sum of the measures of the INTERIOR angles in 36-gon polygon
Answer: 6120
Step-by-step explanation:
The equation for the interior angles of a polygon is (n-2)180. So using the equation, (36-2)180=(34)180=6120.
Use summation notation to write the series -1+2-4+8-16... for 12 terms
Answer:
The first 12 terms of the series are represented by:
[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]
Step-by-step explanation:
The summation notation for the series [tex]-1 + 2 -4 + 8 -16...[/tex] is represented by the expression [tex]f(n) = \Sigma\limits_{i = 1}^{n} [(-1)^{n} \cdot 2^{n-1}][/tex].
The first 12 terms of the series are represented by:
[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]
I need help pleasee!!!!
Answer:
Your answer is c
Step-by-step explanation:
the two inequalities are x =< 1 and x =>2 which is shown by the number line in option c
The ratio of hot dogs to hamburgers on a barbeque table is 6:4. If there are 36 hot dogs on the table then how many hamburgers must be there?
Answer: 24
Step-by-step explanation:
6 hot dogs for every 4 hamburgers
6*6 = 36
36 hot dogs for every ? hamburgers
since 6*6 equals 36, do 4*6
4*6 = 24
so 24 hamburgers
I can’t guarantee that this is right but I think it is
hopefully it’s helpful
URGENT NEED HELP FAST LINKS WILL BE REPORTED
803.84 rounded to the nearest tenth?
Answer: 800
Step-by-step explanation:
1
32. A friend plans to purchase a mattress that sells for $1200 at a particular store. The store
is offering 15% off any one mattress. He also has an internet coupon for an additional
10% off any discounted price. How much will your friend save (a) in dollar amount and
(b) in percent
Answer:
(A) Your friend will save $282.
(B) Your friend will get 23.5% off the original price of the mattress.
Step-by-step explanation:
We first need to find out the price of the mattress after the 15% discount. Our first step is to find what 15% of 1,200 is. We can do this by multiplying the two numbers.
1,200 x 15% -----> 1,200 x 0.15= 180.
15% of $1,200 is $180.
Next subtract $180 from $1,200, which equals $1,020. We can now apply the 10% off internet coupon.
1,020 x 10% ------> 1,020 x 0.10= 102.
10% of $1,020 is $102.
Next we subtract $102 from $1,020 and we get $918, the final price of the discounted mattress.
We subtract to see how much money the friend saved.
$1,200 - $918= $282.
We can get the percentage by dividing $282 by $1,200.
282 / 1200= 0.235 decimal form ----> 23.5%
Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a simple interest rate of 5%. Bond 2: Face value $350, 3 years to maturity at a simple interest rate of r. Given that both bonds yield the same interest at maturity, calculate r. Round your answer to the nearest hundredth of a percent. Do NOT round until you have calculated your final answer.
Answer:
5.95%
Step-by-step explanation:
Bond 1:
I = 250(.05)5
I = $62.50
Bond 2:
62.5 = 350(3)r
62.5 = 1050r
r = 62.5/1050
r = 5.95%
Answer:
5.95%
Step-by-step explanation:
Manufacturers are testing a new cologne before it's released. A machine uses sensors to determine if the cologne is working (maintaining a scent for 1 hour)
a. 15/82
b. 15/37
c. 22/37
d. 1
Answer:
It’s B
Step-by-step explanation:
At a customer service call center for a large company, the number of calls received per
hour is normally distributed with a mean of 130 calls and a standard deviation of 10
calls. What is the probability that during a given hour of the day there will be less
than 129 calls, to the nearest thousandth?
Statistics Calculator
.460Answer:
Step-by-step explanation:
Is (–5, 2) a solution to the equation y = x?
Pleaseee Help
What is the area of the shaded sector?
Answer:
40π
Step-by-step explanation:
∅ = 360 - 135 = 225
a = (∅/360) * π * r²
a = (225/360) * π * 8²
a = 40π
In one game there are 85 spins.
How many of these spins are expected to be 'Go forward 2 squares'?
I dont know the question sory
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
its 28
Step-by-step explanation:
C is the longest side which is 35 ye and b is 21 yd. Then you would subtract 21^2 from 35^2 and you would get 784. Then find the square root of 784 and you would get 28 as the answer! Good luck and have a great day or night!
Answer:
28 yards
Step-by-step explanation:
We can use pythagorean theorem to solve this problem; pythagorean theorem is denoted by the formula a^2 + b^2 = c^2. We already have b, as 21 yd and c, as the hypotenuse is 35 yd. We can plug these values into the formula:
a^2 + 21^2 = 35^2
a^2 + 441 = 1225
a^2 = 784
a = 28 yards
Find the volume of the following cylinder in cubic inches
Answer:
Option (1)
Step-by-step explanation:
Volume of a cylinder is given by the formula,
V = πr²h
Here, V = Volume
r = Radius of the circular base
h = Height of the cylinder
From the picture attached,
r = 8 in.
h = 0.5 in.
By substituting these values in the formula,
V = π(8)²(0.5)
= 32π
= 32(3.14)
= 100.48 in³
Therefore, Option (1) will be the correct option.
4log(2) x + log(2)5 = log(2)405
Answer:
3/2
Step-by-step explanation:
I don’t know what to do please don’t give me files I don’t get it
Answer:
i believe its dependent
Step-by-step explanation:
what is the area of a square with its side length of s cm
Answer:
Step-by-step explanation:
Answer:
The area is s².
Step-by-step explanation:
The area of a square is the length times the width. Because it's a square, the length and width are the same, so instead of multiplying the length and width, we can take the length of one side and square it. You said the length is "s", which I assume is a variable, so the area will equal s ⋅ s, or s².
4. Paolo is filling a cylindrical water bottle. Unfortunately it is too big to fit in the sink he is filling up at so he has to use cone cups to fill up the bigger water bottle. The cone cups have a radius of 1 in, and a height of 3 in. how many cone cups would it take to fill the cylindrical water bottle?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.
Solution:
Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.
Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³
Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³
Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:
number of cone cups = 45π in³ / π in³ = 45 cups
Hence 45 cups of the cone would be needed to fill the cylindrical bottle
solve the inequality 1 - 2x + - 7
Answer: x = -3 or if not solving for x then -2x -6
Step-by-step explanation:
1 - 2x - 7 = 0
-6 - 2x = 0
add 2x on both sides
-6 = 2x
divide 2 on both sides
-6/2 = x
x = -3
You are making a pyramid-shaped trophy.
The trophy has a square base with side lengths of 9 inches and a slant height of 11 inches.
The paint needed costs $0.15 per square inch.
How much will it cost to paint the faces of the trophy?
Show your work
Answer: [tex]\$29.7[/tex]
Step-by-step explanation:
Given
The trophy has a side of [tex]a=9\ in.[/tex]
Slant height [tex]l=11\ in.[/tex]
Rate of painting [tex]r=\$\ 0.15/in.^2[/tex]
Lateral surface area of square pyramid is [tex]2al[/tex]
Insert the values
[tex]\Rightarrow 2\times 9\times 11\\\Rightarrow 198\ in.^2[/tex]
Cost of painting
[tex]\Rightarrow 198\times 0.15=\$29.7[/tex]