Answer:
9 hours
Step-by-step explanation:
$495 divided by 15 hours = $33 - this is how much the trainer charges per hour.
$297 divided by $33 per hour = 9 hours of training
a quarterback throws a ball in the air from an initial height of 5 feet. The football has an initial vertical velocity of 50 feet per second. Another player catches the ball when it is 2 feet above the ground. How long is the ball in the air?
Answer:
The range of the function is from 2 feet to 12.25 feet
Step-by-step explanation:
In a function f(x) = y
x is the domain of the function
y is the range of the function
The height (h) of the ball at time (t) seconds can be represented by the equation h(t) = - 16 t² + 20 t + 6
∵ h(t) = - 16 t² + 20 t + 6
∴ The domain is t
∴ The range is h(t)
- To find the range of the quadratic function find the maximum or
minimum value of it
∵ The leading coefficient of the function is -16
∴ The function has a maximum value
To find the maximum value differentiate h(t) with respect to t and equate it by 0 to find the value of t for the maximum height
∵ h'(t) = -16(2) t + 20(1)
∴ h'(t) = -32 t + 20
- Equate it by 0
∵ h'(t) = 0
∴ -32 t + 20 = 0
- Subtract 20 from both sides
∴ -32 t = - 20
- Divide both sides by -32
∴ t = 0.625 seconds ⇒ time for the maximum height
Substitute the value of t in h(t) to find the maximum height
∵ h(0.625) = -16(0.625)² + 20(0.625) + 6
∴ h(t) = 12.25 feet
∴ The maximum height of the ball is 12.25 feet
∵ The ball is caught at 2 feet
∴ The range of the function is 2 ≤ h(t) ≤ 12.25
The range of the function is from 2 feet to 12.25 feet
Stefan sells Jin a bicycle for $149 and a helmet for $16. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
55
Step-by-step explanation:
149+16=165, 165/150=1.1, 1.1*100=110, 165-110=55
Answer:
55
Step-by-step explanation:
i used a calculator cause IK the equation but I couldn't get the right answer
answer question for brainliest
The table shows the listed sale price for bottled water at four stores.
Which store charges the LEAST amount per bottle of water?
Store 1 Store 2 Store 3 Store 4
Three 12 packs One 12 pack Four 6 packs One 6 pack
$10.49 $3.89 $7.99 $2.29
A
Store 1
B
Store 2
C
Store 3
D
Store 4
Answer:
I believe it d I'm sorry if it wrong but if I'm right mark brainlyest please
Does anyone know how to do this?
Answer:
the 8 means there will be 8 zeros after it so
62.00000000
yw
someone help me please, this topic is based on slopes.
Answer:
run / rise =5/1
Step-by-step explanation:
The run is 5 and the rise is 1
please help!! what should i use to get the area of the triangle?
Answer: Area =1/2 *B*H
Step-by-step explanation:
What is 17x13 divide by four
Answer:
55.25
Step-by-step explanation:
17*13=221
221/4=55.25
Speedeez Go Carts charges $10 plus $2.50 per lap. Which best describes the relationship between total cost and the number
of laps?
Answer:
10+2.50*L
Step-by-step explanation:
It first says they charge $10 PLUS $2.50 per lap.
If I were to go only 1 lap my total would be $12.50, that's why the number of laps is labeled L because we don't know how many laps the customer is going to make.
Find the value of x.
x= 2.
x= 3
x= 33
x= 52
Answer: x=2
57+x=25x
subtract x from both sides
57+x-x=25x-x
57=24x
divide by 24 on both sides
57÷24=24x÷24
x=2.375
I hope this is good enough:
The sum of the interior angle of a triangle is equal to the exterior. . The value of x from the given figure is 3
Angles in a triangleThe sum of the interior angle of a triangle is equal to the exterior. According to the given figure;
25x + 57 +x = 45x
26x + 57 = 45x
Subtract 57 from both sides
26x -45x = -57
-19x = 57
x = 57/19
x = 3
Hence the value of x from the given figure is 3
Learn more on angles here: https://brainly.com/question/25716982
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please help!!!!!!! and round your answer to a whole number :)))
Answer:it would Be 16 I think-
Step-by-step explanation:
Factor the expression completely, -12.75 + 4.25x
A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank
Answer:
it would be 0.64
Step-by-step explanation:
please help me with this math question I don't get a lot of time
A dog that weighs 15 pounds should eat 2 1/8 cups of a certain type of dog food per day. How much of the same type of dog food should be fed, per day, to a dog who weighs 34 pounds?
Enter your answer in reduced form.
Answer:
289/60
Step-by-step explanation:
There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?
Answer: 53.33
Step-by-step explanation:
Is 9% of 998 pages less or larger HURRYYYYYYYY
Answer:
less that is it have good day
Describe the nature of the roots for the equation
49x2– 28x +4 = 0
Answer:
The roots of the equation is real and repeated
Step-by-step explanation:
Here, we want to describe the nature of the roots of the given quadratic equation
To get the nature of the roots, we find the discriminant of the equation
The discriminant is;
b^2 - 4ac
In this case, b = -28 , a = 49 and c = 4
The discriminant is thus;
-28^2 - 4(49)(4)
= 784 - 784 = 0
Since the discriminant is zero, this means that the quadratic equation has real roots which are the same
Whats 2 & 1/2 divided by 3 & 1/3
A = 3/5
B = 3/4
C = 4/10
D= 15/12
help pls 25 points
Answer:
B = 3/4
Step-by-step explanation:
2 1/2 / 3 1/3
can be written as 5/2 divided by 10/3. I always use keep, switch, flip technique with fractions. keep 5/2 switch the division to multiplication, flip the 10/3 to 3/10
5/2 x 3/10 cross multiply
15/20 = 3/4
Answer:
It would be B. 3/4
Step-by-step explanation:
You turn the mixed numbers into improper fractions then you divide by using the reciprocal of the 3 & 1/3. This will leave you into the equation "5/2 * 3/10"
When multiplied, you will get "15/20" which simplifies to "3/4"
Triangle A′B′C′ is the image of ΔABC under a dilation such that A′B′ = 3AB. Triangles ABC and A′B′C′ are
A.congruent but not similar
B.similar but not congruent
C.both congruent and similar
D.neither congruent nor similar
PLS HELP
the correct answer is c if that is what you were looking for
Triangles ABC and A′B′C′ are similar but not congruent.
Hence, Option B is true.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Triangle A′B′C′ is the image of ΔABC under a dilation such that,
⇒ A′B′ = 3AB.
Hence, The ratio of there corresponding sides are equal.
And, The length are not equal.
Thus, Triangles ABC and A′B′C′ are similar but not congruent.
Learn more about the triangle visit;
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Mr. Moore has 5 1/4 pounds of dry fish food. He will be putting an equal amount of food into 3 containers. How much fish food will be in each container?
Which figure is missing in the pattern?
Answer:
B
Step-by-step explanation:
The pattern is square numbers so
1, 4, 9, 16, 25
please help will give brainliest
Answer:
I think 5/15 is the answer
Step-by-step explanation:
Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.
Answer:
P=0.0000037
P=0.00037%
Step-by-step explanation:
Probability
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is
[tex]\displaystyle \frac{4}{52}=\frac{1}{13}[/tex]
Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is
[tex]\displaystyle \frac{3}{51}=\frac{1}{17}[/tex]
Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is
[tex]\displaystyle \frac{2}{50}=\frac{1}{25}[/tex]
Finally, the probability of getting the remaining ace out of the 49 cards is:
[tex]\displaystyle \frac{1}{49}[/tex]
The probability of getting the four consecutive aces is the product of the above-calculated probabilities:
[tex]\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}[/tex]
[tex]\displaystyle P= \frac{1}{270,725}[/tex]
P=0.0000037
P=0.00037%
Rewrite the expression 16 + 32 as the product of the greatest common factor and the sum of the remaining numbers. Group of answer choices 2(8 + 16) 8(2 + 4) 4(4 + 8) 16(1 + 2)
please help and the question is in the docs
Answer:
sfuc,k u
Step-by-step explanation:
Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?
Answer:
$58.33
Step-by-step explanation:
Set up a proportion where x is the amount she makes for 7 hours:
[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]
Cross multiply and solve for x:
3x = 175
x = 58.33
So, after working for 7 hours, she will make $58.33
Answer:
About 60-65$
Step-by-step explanation:
Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3
the cytlindrical part of an architectrual column has height of 325cm and a diameter of 30cm. Find the volume of the cytlindrical part of the column. use 3.14 and round your answer to the nearest cubic centimeters if needed
Answer:
Step-by-step explanation:
229,613 cm ^3 took test.
WILL REWARD Doug takes 3 pages of notes during each hour of class. Write an equation that shows the
relationship between the time in class x and the number of pages y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
y=3x
Step-by-step explanation:
Shelley has a collection of dimes, nickels and quarters that is worth $5.25. There are a total of 48 coins. If there are 7 more nickels than quarters, how many dimes are there?
Answer:
25 dimes
Step-by-step explanation:
Given
Coins: Nickels (N), Quarters (Q) , and Dimes (D)
$0.05 = 1 nickel, $0.10 = 1 dime and $0.25 = 1 quarter
So, the amount implies:
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
The number of coin implies:
[tex]N + D + Q = 48[/tex]
and
[tex]N = 7 + Q[/tex]
Required
Determine the number of Dimes
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
[tex]N + D + Q = 48[/tex]
[tex]N = 7 + Q[/tex]
Substitute 7 + Q for N in the first and second equation
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
[tex]0.05(7 + Q) + 0.10D + 0.25Q = 5.25[/tex]
[tex]0.35 + 0.05Q+ 0.10D + 0.25Q = 5.25[/tex]
Collect Like Terms
[tex]0.10D + 0.25Q+0.05Q = 5.25 - 0.35[/tex]
[tex]0.10D + 0.30Q = 4.90[/tex] ----- (1)
[tex]N + D + Q = 48[/tex]
[tex]7 + Q + D + Q = 48[/tex]
Collect Like Terms
[tex]D + Q + Q= 48 - 7[/tex]
[tex]D + 2Q= 41[/tex]
Make Q the subject
[tex]2Q = 41 - D[/tex]
[tex]Q = \frac{41}{2} - \frac{D}{2}[/tex]
[tex]Q = 20.5 - 0.50D[/tex]
Substitute 20.5 - 0.50D for Q in (1)
[tex]0.10D + 0.30Q = 4.90[/tex]
[tex]0.10D + 0.30(20.5 - 0.50D) = 4.90[/tex]
[tex]0.10D + 0.30*20.5 - 0.30*0.50D = 4.90[/tex]
[tex]0.10D + 6.15 - 0.15D = 4.90[/tex]
[tex]0.10D - 0.15D = 4.90 - 6.15[/tex]
[tex]-0.05D = -1.25[/tex]
Solve for D
[tex]D = \frac{-1.25}{-0.05}[/tex]
[tex]D = 25[/tex]
Hence, there are 25 Dimes
(x-3)2 = 4x
Which of the following is a value of x that satisfies the equation above?
Answer:
x=-3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
2(x - 3) = 4x
2x - 6 = 4x
2x - 4x = 6
-2x = 6
x = -3
I hope this helps you :)
Which statement about rigid transformations is true?
A.
A rigid transformation preserves only the side lengths of a polygon.
B.
A rigid transformation preserves only the angle measures of a polygon.
C.
A rigid transformation preserves both the side lengths and the angle measures of a polygon.
D.
A rigid transformation preserves neither the side l
Answer:
The answer is B because it is only the measure of the polygon