Answer:
t = 7.54 seconds
Step-by-step explanation:
The distance h(t) in feet traveled by a freely falling object is given by the function :
[tex]h(t)=16t^2[/tex]
The height of a tower is 912 feet.
It is required to find the time it will taken to fall on ground from the top of the building. It can be calculated as :
[tex]16t^2=912\\\\t=\sqrt{\dfrac{912}{16}}\\\\t=7.54\ s[/tex]
So it will taken 7.54 seconds to fall on the ground.
Find the volume of cylinder
Diameter of base is 11 cm
Height of cylinder is 16cm
Answer:
1520.53
Step-by-step explanation:
V = pi * r^2 * h
the radius is half of the diameter and 11/2 = 5.5
V = pi * 5.5^2 * 16
V = 1520.53
---
Hope this helps! :) If so, please mark my answer as brainliest!
What are the solutions to the quadratic equation 4(x + 2)2 = 36
x = -11 and x = 7
x = -7 and x = 11
x = -5 and x = 1
x= -1 and x = 5
mentary
condary
s Notebo...
Spring
Previous Activity
Answer:
C) x = −5 and x = 1
Step-by-step explanation:
I took the test and I got it right
The solutions to the quadratic equation [tex]4(x + 2)^2 = 36[/tex] are as x = -5 and x = 1.
What is a solution for a quadratic equation?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0
This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
We have the given quadratic equation
[tex]4(x + 2)^2 = 36[/tex]
solving for x
[tex]4(x + 2)^2 = 36\\\\(x + 2)^2 = 36/4\\\\(x + 2)^2 = 9\\\\(x + 2)^2 = 3^2\\\\(x + 2) = 3\\\\x = 1\\or \\\\x + 2 = -3\\\\x = -5[/tex]
Learn more about quadratic equations;
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Cereal costs $3.00 for a 12 ounce box, $4.00 for a 16 ounce box, and $5.00 for a 20 ounce box. Which size cereal box has the lowest price per ounce?
Answer:
Step-by-step explanation:
For this problem, you have to find out how much each cereal costs per ounce. So you must divide each price by the amount of cereal you get and compare:
$4.08/16oz=$0.255/oz
Find the unit price ($/oz) of the remaining 2 then compare. The lowest value is the best buy!
A soup can have a volume of 54 π in³ and a height of 6 in.
What is the area for the label needed to wrap around the can with no overlaps? Express your answer in terms of π.
Answer:
The area of the label is 36*pi in²
Step-by-step explanation:
A can of soup has a shape of a cylinder, therefore it's volume is equal to:
Volume = pi*r²*h
We need to use the formula above to find the radius of the base, because we need to calculate the lateral area of the cylinder, which is given by:
Lateral area = 2*pi*r*h
Applying the data from the problem we have:
54*pi = pi*r²*6
pi*r²*6 = 54*pi
r² = 54*pi/(pi*6)
r² = 54/6 = 9
r = sqrt(9) = 3 in
Therefore the lateral area is:
lateral area = 2*pi*(3)*(6) = 36*pi in²
Answer:
18π in ²
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder.
Given data
volume v = 54 π in³
Height h = 6 in
In this problem we are considering the surface area of the cylinder
(not the total though ) but the curved surface area
Let us solve for the radius of the shape
Volume = πr²h
54π= π*r²*6
54/6= r²
r²= 9
r= √ 9
r= 3in
Area of curved surface = 2πrh
Area = 2πrh
Area =2π*3*6
Area = 18π in ²
Em uma caixa há 11 bolas vermelhas e 7 azuis. Ao escolher 4 bolas aleatoriamente, qual a probabilidade de serem todas vermelhas? (A) 1 7 . (B) 7 102. (C) 11 102. (D) 7 18 (E) 11 18
Answer: C. 11/102
Step-by-step explanation:
Given Data:
Red ball = 11
Blue ball = 7
Total no of balls = 18
What is the probability that choosing 4 balls all are red.
1. Probability of picking a red ball
= 11/18
2. Probability of picking a blue ball
= 7/18
3. Probability of picking 4 red balls in a roll.
= 11/ 18 * 10/17 * 916 * 8/15
= 11/102
Or
10.8% chance of all 4 balls being red.
Amanda is making flower arrangements. She has 20 daisies and 16 roses. Each arrangements must hhave the same number of daises and same number of roses. She wants to use all the flowers. What is the greatest number of arrangements she can make? How many daisies and how many roses will be in each?
Answer:
The greatest number of arrangements she can make would be that she uses 4 groups of 5 daisies and 4 groups of 4 roses.
The greatest number of arrangements is 4, and each group has 5 daises and 4 roses.
What is the greatest common divisor?The biggest positive integer that divides both numbers and is a divisor of both is known as the greatest common divisor of two integers.
Given that, Amanda has 20 daises and 16 roses.
The number of arrangements that can be made using 20 daises and 16 roses is the greatest number that can divide both the numbers 20 and 16.
The greatest number that can divide both 20 and 16 is 4.
Hence, 4 groups of arrangements can be made.
The number of daises in a group is:
20/4
= 5
The number of roses in a group is:
16/4
= 4
Hence, the greatest number of arrangements is 4, and each group has 5 daises and 4 roses.
Learn more about the greatest common divisor:
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I have never learned this before please help
Answer:
V =165 ft^3
Step-by-step explanation:
V = Bh Where B is the area of the base and h is the height
B is the area of the triangular base
B = 1/2 (5) *6
B = 15 ft^2
V = 15 * 11
V =165 ft^3
On a certain standardized test used for college entrance purposes, the mean score was 21 and the standard deviation was 5. The distribution was approximately normal. Carlos scored 31, two standard deviations above the mean. A total of 1.5 million people across the country took the test at the same time as Carlos. How many people had scores lower than Carlos?
a. 1,465,500 people
b. 977,000 people
c. 204,000 people
Answer:
A
Step-by-step explanation:
Carlos' score was 2 standard deviations from the mean, so his z-score was 2.0. You can either use the empirical 68-95-98.5 rule, or you can plug it into your calculator as normalcdf(-999, 2) = .977
So 97.7% of people had a score lower than Carlos!
.977 * 1.5 million = 1,465,500 people
A landscape gardener wishes to spread fertiliser on a semicircular garden bed that has a diameter of 4.7 m. How much fertiliser is required if the fertiliser is applied at the rate of 20 g per square metre? Give your answer to the nearest gram.
Answer:
Step-by-step explanation:
radius of semicircle =4.7/2 m
area of semicircle=1/2 πr²
=1/2 ×π×(4.7)²
≈8.67 m²
fertiliser=8.67×20
=173.4
≈173 gm
Which inequality is represented by this graph?
A. 0 > X
B. X > 0
C. 0 >_ X
D. X >_ 0
Answer:
B. X > 0
Step-by-step explanation:
It is X > 0, because the circle is empty, which means that X cannot be 0, which allows s to eliminate C and D as an answer. The arrow shows that X is greater than 0. Therefore, you can eliminate A as an answer, leaving us with B. X > 0
Calculate the following values
f(-1)
f(0)
f(2)
Use a net to find the surface area of the right triangular prism shown below (Please show how you worked it) :
104 square feet
412 square feet
468 square feet
504 square feet
Answer:
468 square feet; Option C
Step-by-step explanation:
We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:
Area ⇒ 15 * 10 = 150 ft^2
Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:
Area ⇒ 9 * 10 = 90 ft^2
This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2
Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2
This means the surface area of the right, triangular prism is:
150 + 90 + 120 + 108 = Answer: 468 square feet
100 points. WILL MARK BRAINLIEST. EASY QUESTION
Topic: Fractions.
ONLY COMPLETE QUESTION 1
Answer:
1/4
Step-by-step explanation:
We have 3/4 of a tank
We will use 2/3 of the gas in the tank
That will leave us 1/4
Mathematically
3/4*2/3 = 2/4 =1/2 this is the amount that is used
Subtract this from the amount in the tank
3/4 -1/2
3/4 -2/4 = 1/4
This is the amount that is left in the tank
Someone please help me
Answer:
slope = 2
Step-by-step explanation:
slope = 1 - (-5)
-------------
2 - (-1)
= 1+5
---------
2 +1
= 6 /3
= 2
Un olivar tiene 80 olivos. Sesenta de ellos dan, por término medio, 50 kg 4 hg 60 dag 5 g de aceitunas cada uno, y los otros veinte, 53 kg 2 hg 16 dag 5 g. Si el número de litros de aceite que se obtiene es un quinto de los kilogramos de aceituna que se recogen, calcula la ganancia que obtendremos sabiendo que cada litro de aceite se vende a 2,65 € y que en la recolección nos gastamos 860 €.
Answer:
1330.808 euros
Step-by-step explanation:
Let's first calculate the total amount of kilograms,
for the first 60, we have to:
50 kg
4 hg = 0.5 kg
60 dag = 0.6
5 g = 0.005 kg
adding: 50 + 0.5 +0.6 + 0.005 = 51.105 kg per tree, but they are 60
51.105 * 60 = 3066.3
now for the other 20:
53 kg
2 hg = 0.2 kg
16 dag = 0.16
5 g = 0.005
adding: 53 + 0.2 +0.16 + 0.005 = 53.365 kg per tree, but they are 20
53,365 * 20 = 1067.3
in total it would be: 3066.3 + 1067.3 = 4133.6
they tell us that 1/5 is the quantity in liters:
4133.6 * 1/5 = 826.72 liters
so to calculate the earnings it would be:
2.65 * 826.72 - 860 = 1330.808
which means that in net earnings are 1330.808 euross
Jo is going to a college where the cost for one year is $11,000. He has a scholarship worth $5,000. He earns $200 a week at his job. How many weeks does he need to work to pay for 50% of the remaining amount?
Answer:
15 Weeks
Step-by-step explanation:
$11,000 - $5,000 = $6,000 This is how much he needs to pay.
$6,000 ÷ $200 = 30 This is how many weeks he needs to work to get the $6,000
The questions is asking how many weeks does he have to work to get %50, Therefore 30 x .50 = 15 which is your answer.
Hope this helps!!!
-Conrad
Which is the expression 4×4×4×3×3×2×2×2×2 written using exponents?
Answer:
43 32 24
Step-by-step explanation:
4×4×4×3×3×2×2×2×2
I count 3 fours, 2 threes, 4 twos.
4×4×4×3×3×2×2×2×2
[tex]= 4^3 3^2 2^4[/tex]
That might be the answer; we don't see the choices.
Since 4 is 2² we can take another step.
[tex]= (2^2)^3 3^2 2^4[/tex]
[tex]= 2^6 3^2 2^4[/tex]
[tex]= 2^{10} 3^2[/tex]
That's the full prime factorization.
Answer: 2¹⁰ 3²
Clara simplifies (8 b minus 4 r) minus (2 b minus r) and says the result is 6 b minus 5 r. What error did Clara make? Clara incorrectly combined the b coefficients. The correctly simplified expression is 10 b minus 5 r. Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b minus 3 r. Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b + 5 r. Clara incorrectly combined the b coefficients. The correctly simplified expression is Negative 10 b minus 5 r.
Answer:
Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b minus 3 r.
Step-by-step explanation:
(8b-4r)-(2b-r)
Open the bracket
=8b-4r-2b+r
Collect the like terms and simplify
=8b-2b-4r+r
=6b-3r
Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b minus 3 r.
Answer:
B
Step-by-step explanation:
I took it on edg
Solve the following proportion for y.
3/11 = 10/y
Round your answer to the nearest tenth.
Please help!
Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.
To the nearest cent, how much will he have in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 4,425.69
Step-by-step explanation:
A = $ 4,425.69
A = P + I where
P (principal) = $ 4,253.00
I (interest) = $ 172.69
3
Which expression is equivalent to
x®y)
х?у?
оху
O xºy12
O x2,18
0 x16,722
Answer:
the fourth option
Step-by-step explanation:
x^18y^24/x^2y^2
=x^16y^22
Therefore, the fourth option
I hope this helped and have a good rest of your day!
Triangle ABC was rotated clockwise about the origin
What is the degree of rotation to get to A"B"C"?
С
A
A
B
A
o degrees
90 degrees
180 degrees
270 degrees
Answer:
180 degrees
Step-by-step explanation:
if it was to be 270 degrees the the image should be formed opposite to triangle A'B'C'
If it was to be 360 degrees the image should be back to original triangle and if it was 90 degrees the triangle should be triangle A'B'C'
In which type of triangle is the othocenter on the perimeter of the triangle?
A.) a right triangle
B.) an a cute triangle
C.) an obtuse triangle
D.) an equilateral triangle
Answer:
A right triangle
Step-by-step explanation:
It's where the altitudes all intersect. In a right triangle, the legs of the right triangle are the altitudes-- especially evident when the right angle is at the base. The altitude from the hypotenuse to the right angle also passes through the right angle.
In the expression, what are the coefficients
Answer:
Credit to the guy that has already answer. HE IS CORRECT!! THE ANSWER IS D=7/9 AND 6!!!!!!!!!!!!!!!
Step-by-step explanation:
click on the link below it shows a screenshot of the correct answer!!
Stay Safe Guys!!!!
Jose starts with $250 and spends $25 a week. Martin starts with $30 and saves $30 a week. When do Jose and Martin have the
same amount of money? Use x for time and y for saving.
Answer:
4 weeks, Jose and Martin will have the same amount of money in 4 weeks which is $150 each
Step-by-step explanation:
Jose:
y = -25x +250
Martin:
y=30x+30
Substitute x= 6 into the two equations
Jose:
y = -25(6) + 250
= -150+250
y = 100
Martin:
y = 30(6) +30
=180+30
y = 2100
Substitute x=4 into the two equations
Jose:
y = -25(4) + 250
=-100+250
y = 150
Martin:
y = 30(4) + 30
=120+30
y = 150
help pt.idk lol plzz
Step-by-step explanation:
15 x 3 = 45
13 x 3 = 39
So
45 ÷ 3 = 15
39 ÷ 3 = 13
36 ÷ 3 = 12
X=12
Can you please help please please help me with this question and i will give you a Brainiest
Answer:
30 kilograms
Step-by-step explanation:
there are two ways you can solve this
1. since each package is 6 kg, you can multiply it by 5 to get 30 kg
2. or, you can add it together. for example, you can add 6 five times. 6+6+6+6+6=30
:)
Answer: 30 kg
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Answer:
First one: Rotation
Second one: Translation
Third one: Reflection
Fourth one: Translation
Step-by-step explanation:
Answer:
CABAI hope I helped you!
Mohit needs to work 45 hours per week. He has worked 38 7/9 hours so far. How many hours does he need to work on Friday to meet the 45 hours requirement?
Answer:
6 2/9 hours
Step-by-step explanation:
Take the number of required hours minus the number of hours worked to get the number of hours still needed.
45 - 38 7/9 = 6 2/9 hours
If this answer is correct, please make me Brainliest!
If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true? On a coordinate plane, a straight line with negative slope represents (f + g) (x). It goes through points (negative 3, 4), (0, 1), and (1, 0).
Answer:
You did not write the options, but let's solve it in a general way.
f(x) and g(x) are quadratic functions, this means that:
f(x) = a*x^2 + b*x + c
g(x) = d*x^2 + e*x + f
now, (g + f)(x) is a linear function that goes trough the points (-3, 4), (0,1 ) and (1,0)
(g + f)(x) = s*x + k
We can find the slope of this linear function as:
S = (y2 - y1)/(x2 - x1)
i will use the first two points.
S = (1 - 4)/(0 - (-3) = -3/3 = -1
so we have: ( f + h)(x) = -1*x + k
and we can find k using one of the points, for example (0, 1)
1 = -1*0 + k
b = 1.
so we have: (f + g)(x) = -1*x + 1.
Now, (f+g)(x) = (a + d)*x^2 + (b + e)*x + (c + f) = -1*x + 1.
So we must have that:
a = -d
b + e = -1
c + f = 1.
Answer:
A. The leading coefficients of f(x) and g(x) are opposites.Step-by-step explanation: