Answer:
72
Step-by-step explanation:
Answer:
4892 or 2446
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x^2+ 181x + 59
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.
The circumference of the tire of Melvin’s cycle is 2.5m. He took part in a race of 2km. When
he had covered 1.2km, the tire burst. To finish the race, how many more times should the wheel go
round?
Answer:
320
Step-by-step explanation:
Distance to go
2km - 1.2 km = 0.8km = 800m
Revolutions needed
800/2.5 = 320
HELP ASAP will give you brainlist
Answer:
24
Step-by-step explanation:
sorry if incorrect
Q11. What should be subtracted from -5/3 to get -2/7?
0 29/21
O o C
- 21/29
- 29/21
O 21/29
Select the correct answer.
What is the value of this expression if a = -7 and b = -3?
a3 – b2
Α.
-352
B.
-30
C.
-334
D.
-12
The value of this expression if a = -7 and b = -3 is -352
Equation
Equation is an expression used to show the relationship between two or more numbers or variables.
Given that a = -7 and b = -3
Hence:
a³ - b²
Substituting the values of a and b:
= (-7)³ - (-3)²
= -343 - 9
Simplifying the equation:
= -352
a³ - b² = -352
The value of this expression if a = -7 and b = -3 is -352
Find out more on Equation at: https://brainly.com/question/13763238
A patient has been instructed to drink a gallon of water each day. How many cups does the patient
need to drink?
Thank
Answer:
16 cups a day
Step-by-step explanation:
If 50 students were surveyed about their after-school sports, how many students play soccer?
Answer:
15
Step-by-step explanation:
30% is equal to 0.3 as a proportion
Multiply 50 by 0.3 to get the number of students who play soccer.
50 X 0.3 = 15
Answer:
15
Step-by-step explanation:
football and track =50% =25 students
20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer
x + 2y = 4
4x + 8y = 64
find how many solutions there is
Answer:
No solutions
Step-by-step explanation:
Multiply the top equation by 4
4x + 8y = 16
now both equations have the same left hand side
4x + 8y
but one equals 16 the other 64
Therefor: no solutions
Answer:
Step-by-step explanation:
Multiply the top equation by 4
4x + 8y = 16
now both equations have the same left hand side
4x + 8y
but one equals 16 the other 64
( simultaneous equations )
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.
Answer:
The statement "[tex]\angle BAF[/tex] and [tex]\angle EAB[/tex] are complimentary" is false.
Step-by-step explanation:
Complimentary angles are defined by angles that add up to [tex]90^{\circ}[/tex]. Angles BAF and EAB represent one side of a line, which is [tex]180^{\circ}[/tex]. Therefore, they are actually supplementary and not complimentary. Thus, the statement "[tex]\angle BAF[/tex] and [tex]\angle EAB[/tex] are complimentary" is false.
Nine people in a square
If there are nine people in a square, then there will be 3 rows and 3 columns.
Because 3² = 9 or √9 = 3
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to simulate the weather in the video game.
explain
Answer: 35
Step-by-step explanation:
Show the number of 76 at least 2 ways?
Find the missing side length. Leave your answer as a radical in the simplest form
Please help...no links
9514 1404 393
Answer:
x = y = 12
Step-by-step explanation:
A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...
1 : 1 : √2
Multiplying these ratios by 12 gives ...
12 : 12 : 12√2 = x : y : 12√2
The side lengths x and y are both 12 units.
If 4 television weigh 160 pounds , How much do 5 of those television weigh.
Must show your work
Answer:
Step-by-step explanation:
640
Answer:
200 pounds
Step-by-step explanation:
We can write a proportion to represent the problem. Let's take x as the weight of 5 televisions. If we know that 4 televisions weigh 160 pounds we can write: 4/160. Then, 5 televisions will weigh x pounds which is 5/x. Now, we can set up a proportion: 4/160 = 5/x
Cross multiply to get: 4x = 800
Isolate x: x = 800/4
Solve: x = 200
200 pounds
Hey guys can you please help me?? Thank you!
Answer:
17x+44+51 = 180
x=5
Step-by-step explanation:
The angles in a triangle add to 180, so set up the equation by adding the measures of each angle on one side and putting 180 on the other side, then solve:
17x+44+51 = 180
17x+95=180
17x=85
x=85/17=5
Hope this helps :)
Helpp plzz will mark brainleast
Answer:
a d e
Step-by-step explanation:
hope this helps mark me brainleast :)
It took lan three years to collect 25,413 aluminum cans to recycle. In the first year he collected 8,917 cans, and in the second year he collected 7.639 cans Which equation can be used to find x, the number of cans tan collected in the third year? A X = 25,413-8,917 - 7,639 B X = 25,413 +8,917 + 7,639 CX-8,917 +7,639 D 8,917-7,639
Answers:
1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer
2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000
3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer
4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer
5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale
6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar
7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar
8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar
Pick the right one.
Ardem collected data from a class survey he then randomly selected samples of five responses to generate for samples
Answer:
Step-by-step explanation:
Ardem collected data from a class survey he then randomly selected samples of five responses to generate for samples
look at picture
Answer:
i dont frickin know the answer
The spray from a spinning lawn sprinkler makes
a circle with a 40 foot radius. If Ben and his
friends what to play and get wet, how much
space do they have?
Answer: [tex]5027.2\ ft^2[/tex]
Step-by-step explanation:
Given
The radius of the circle is [tex]r=40\ ft[/tex]
The area of the circle is given by [tex]\pi r^2[/tex]
Insert the value of radius and get the area to play
[tex]\Rightarrow \text{Area A=}\pi \times 40^2\\\\\Rightarrow A=3.142\times 1600\Rightarrow A=5027.2\ ft^2[/tex]
Thus, the area to play is [tex]5027.2\ ft^2[/tex]
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.
what is 2/5 of 2/3 =
Answer:
2/5Step-by-step explanation:
2/5. 2/3 of a number means that you divide it by 3 and multiply by 2. 3/5 divided by 3 is 1/5. 1/5 multiplied by 2 is 2/5, which is the answer. Hope this helps! :).Hopes this helps. Mark as brainlest plz!Answer:
.266666... or [tex]\frac{4}{15}[/tex]
Step-by-step explanation:
Multiply the numerator by the other numerator, in this case it would be 2 * 2, to get 4. This is your numerator for the answer.
Then do the same for the denominators. 5 * 3 is 15.
Therefore, your answer is [tex]\frac{4}{15}[/tex]
Hope that this helps!
What is the probability of choosing a gray button replacing it and choosing a gray button ?
the answer is that you get the same outcome
Help please ASAP thank you!! your awesome if you help
Answer:
Perimeter=56 units
Area =196 square unites
Step-by-step explanation:
The diagonal would be 14√2.
The formula for area using the diagonal is 1/2d².
1/2x(14√2)²=1/2x196x2=196
For perimeter, s²+s²=392
2s²=392
s²=196
s=√196
s=14
14x4=56
Francesco built a box to store his baseball cards. The box is shown below.
Francesco needed more storage and built a similar box that was one-half of each the length, the width,
and the height of the first box. By what factor does the change in dimension between the two boxes
affect the volume?
ILL GIVE BRAINLIEST
Answer:
Option B
Step-by-step explanation:
Scale factor by which the dimensions of the new box was dilated = [tex]\frac{1}{2}[/tex]
In other words, dimension scale factor = [tex]\frac{1}{2}[/tex]
Relation between volume scale factor and dimension scale factor is,
Volume scale factor = (Dimension scale factor)³
Therefore, volume scale factor of the smaller box = [tex](\frac{1}{2})^3[/tex]
= [tex]\frac{1}{8}[/tex]
Since, volume scale factor = [tex]\frac{\text{Volume of the dilated figure}}{\text{Volume of the original figure}}[/tex] = [tex]\frac{1}{8}[/tex]
Therefore, volume of the smaller box = Volume of the larger box
Option B will be the answer.
i will give Brainiest if you are right
Write an equation and solve:
Kiran is trying to save $144 to buy a new guitar. she has $34 and is going to save $10 a week from money she earns mowing lawns. she wants to know how money weeks it will take her to have enough money to purchase the guitar.
Answer:
11 weeks
Step-by-step explanation:
34+10x=144 equation
10x=110
x=11
check answer
11*$10=$110 money after 11 weeks at $10/week
+. 34 money saved
=. 144 money needed.
Convert the measurement indicated.
96 in to feet
96 in = 11 ft
foot ×12 =inch
here,
inch=96
foot=?
now
foot = inch /12
foot = 96/12
foot= 8 ft
11. Find the diameter of a circle with an area of 240.257 square millimeters. Round the answer to the nearesttenth.
Answer:
17.49
Step-by-step explanation:
A=πr2
d=2r
d=2A
π=2·240.26
π≈17.49013
How many shapes can you make by taking plane sections from a sphere?
Answer:
One.
Step-by-step explanation:
Every possible plane section of a sphere will produce a circle.
NEED HELP ON MATH TEST ASAP!! Will give BRAINLY
Must show work on all problems!!