Answer:
maximum height is 45/4 in feet
The maximum height of the ball is 45/4 in feet
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given tha Pam kicked a soccer ball down the field. Part of the ball's path, including its highest point, is described by the function below, where f(x) is the height of the ball in feet.
F(x)= 12x^2+2x
Thus for this quadratic , the max value will occur at x= -b/2a
= - 2 / (2 x 1/12) = -12
Plug in -12 to find the max height
= (-12)^2 + 2 x-12
= 45/4 in feet
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One-fourth of the sum of a number and 10 is 2 less
than twice the number?
Answer:
The number is 2
Step-by-step explanation:
The equation is: 1/4 (x + 10) = 2x - 1
1/4x + 2.5 = 2x - 1
Multiply everything by 4 to get rid of the fraction
x + 10 = 8x - 4
Subtract x from both sides
10 = 7x - 4
Add 4 to both sides
14 = 7x
Divide both sides by 7
x = 2
Zack went on 6 hikes. The hikes were:
7 miles - 6 miles - 5 miles - 4 miles - 4 miles - 6 miles
What was the range of the lengths of Zack's hikes?
Answer:
3 miles
Step-by-step explanation:
Range is the biggest number minus the smallest number.
First put the distance in order from least to greatest.
4 miles, 4 miles, 5 miles, 6 miles, 6 miles, 7 miles.
Now subtract the greatest and least amounts.
7 - 4 = 3
Given mſn, find the value of x.
(6x-7)º
m
(4x-10°
Answer:
x = 3
Step-by-step explanation:
These angles are actually equal to each other
This is because when two lines intersect, the two opposite angles are the same.
Since they are the same, you can set them equal to each other
Like so:
6x - 7 = 4x - 1
Then solve:
6x - 7 = 4x - 1
6x = 4x +6
2x = 6
x = 3
How to illistrate 1/3×1/2
Answer:
=1/6
Step-by-step explanation:
thats the answer
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THINK SMARTER + Julianna is lining the inside of a basket with fabric.
The basket is in the shape of a rectangular prism that is 29 cm long,
19 cm wide, and 10 cm high. How much fabric is needed to line the
inside of the basket if the basket does not have a top? Explain your
strategy
2
Answer:
1,511 cm²
Step-by-step explanation:
We will find the surface area, but not include the top.
This means we will have five sides to calculate for, see attached. Please note that the area of a rectangle can be found with A = L * W
[1] 19 cm * 10 cm = 190 cm²
[2] 19 cm * 10 cm = 190 cm²
[3] 29 cm * 10 cm = 290 cm²
[4] 29 cm * 10 cm = 290 cm²
[5] 19 cm * 29 cm = 551 cm²
Add them all together:
190 cm² + 190 cm² + 290 cm² + 290 cm² + 551 cm² = 1,511 cm²
A school band sold 432 tickets for their upcoming spring concert. This represents about 85.5% of the number of tickets sold last year. How many tickets were sold last year? (Round to the nearest whole number)
Which angle is an x-intercept for the function y = cos(1)
A.0
B.2
C. £
D. 2£
Answer: C. [tex]\pi[/tex]
=======================================================
Explanation:
The x intercept always occurs when y = 0.
Use the unit circle to determine that [tex]\cos(\theta) = 0[/tex] when [tex]\theta = \frac{\pi}{2} \text{ and } \theta = \frac{3\pi}{2}[/tex]
So if [tex]x = \pi[/tex], then we have
[tex]y = \cos\left(\frac{1}{2}x\right)\\\\y = \cos\left(\frac{x}{2}\right)\\\\y = \cos\left(\frac{\pi}{2}\right)\\\\y = 0\\\\[/tex]
which shows us that [tex](\pi, 0)[/tex] is the location of one of the infinitely many x intercepts for this function.
three subtracted from five times a number is -39. what number is?
A) Translate the statement above into an equation that you can solve to answer this question, Do not solve it yet. Use x as your variable.
The equation is _____
B) Solve your equation in part {A} for x
.Answer x=
Answer:
A) 5x - 3= -39
B) 5x = -39 + 3
5x = -36
x = -36/ 5
x= -7.2
the functionary f is such that f(x)=7x-6 a)work out the value of f(4) b)hence, or otherwise,work out the value of f^-1(22)
Answer:
Step-by-step explanation:
a) f(4)=7(4)-6=22.
b) This is equal to 4. Since [tex]f^{-1}(x)=y \implies f(y)=x[/tex], we get that since f(4)=22, [tex]f^{-1}(22)=4[/tex].
How many students were in the sample?
Math Test Scores
5 0 4
6 5 7 8
7 5 8
8 2 4 5 5 5 6 7 8 9
9 0 0 0 0 4 6 7 9
5 0 = 50
29
5
24
Can someone please help me with this!! The equation y=4x+2 represents Function G. Which statement is true?
QUESTION :> WHATS STATEMENT IS TRUE ?
ANSWER :> A. OR THE RATE OF FUNCTION G IS GREATER THAN THE RATE OF FUNCTION F BECAUSE
2 > (9 — 7).
HOPE IT HELPS
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Answer:
The answer is 157 mm.
Step-by-step explanation:
Given;Diameter (d) = 50 mmπ = 3.14To Find;The circumference of the circle.Formula;C = πdNow,
C = πd
C = 3.14 × 50 mm
C = 157 mm
Thus, The circumference of the circle is 157 mm.
a newspaper editor hired a writer for jokes cartoons. the cost for 8 jokes and 6 cartoons is 610usd. the cost of 6 jokes and 8 cartoons is 510usd how much do a joke and a cartoon together cost
Answer:
a joke and a cartoon together cost $80
c=$15 j=$65
Step-by-step explanation:
j=joke
c=cartoon
8j +6c = 610
6j+8c = 510
Multiply the first by 8
Multiply the second by -6
64j +48c = 4880
-36j -48c = -3060
ADD both (c will cancel)
28j = 1820
j= 65
PLUG j
8(65) + 6c = 610
520+6c = 610
6c= 90
c = 15
j + c = 65+15 = 80
if you spin the spinner 42 times what is the best prediction possible for the number of times it would land on yellow or pink
Answer:
21
Step-by-step explanation:
There is an equal chance of 21 per each choice. So there is an equal amount of chance to land on both yellow or pink.
If 18% of a number is 24, find 3% of that number. You must show your work in the work space.
Answer:
hello
18 % = 24
3 % = ( 3 x 24 ) / 18 = 4
Step-by-step explanation:
Please help
Suppose Troy conducted a statistical study by asking 12 math teachers the following question:
"How many students are in your first period dass this year?"
Explain why this is or is not a statistical question.
The question asked by Troy is a statistical question because there would be variability in the answers he get fro the 12 maths teachers.
What is a statistical question?A statisical question is a question that can only be answered through the collection of data. Thhere would be variablility in the results gotten from the data.
A non- statistical question is a question that has only one answer. For example, how old are you? is a non-statistical question.
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What is the volume of this right prism?
96 in³
60 in³
48 in³
44 in³
Answer:
96 in³
Step-by-step explanation:
Volume = 2(BHD) / 2
The 2s cancel out
Volume = 3(8)4
Volume = 96
A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas, how many of the packages are corn tortillas?
Answer:390
Step-by-step explanation:
500*.22=110
500-110=390
390
Answer:
390
Step-by-step explanation:
22% of 500 is 110 so that would make the answer 390 i think
In a town of 117 000 people, 14000 like to
Watch hockey. What percent of the town's
Populations like to watch hockey?
Divide number that like hockey by population then multiply by 100:
14,000 / 117,000 = 0.11965
0.11965 x 100 = 11.965%
Round up to 12%
Exercise #5: Quadrilateral EFGH has vertices at E(-6,2), F(3,8), G(7,2), and H(-2,-4).
Calculate the slopes of all four sides of EFGH. Use these slopes to prove that EFGH is a rectangle.
Answer:
The slope of both EF and GH are 2/3
The slope of both FG and EH are -3/2
You can see that these slopes are perpendicular, forming a rectangle
Step-by-step explanation:
To find slope use the slope formula: y1 - y2 / x1 - x2
so first:
8 - 2 / 3 - (-6) = 2/3
(-4) - 2 / (-2) - 7 = 2/3
Then:
8 - 2 / 3 - 7 = -3/2
2 - (-4) / (-6) - (-2) = -3/2
lesson 8 practice probelms position,speed, and directions
(NEED HELP ASAP)An urn contains three red marbles, and six blue marbles. What is the probability of selecting at random, without replacement, two blue marbles?
Answer:
6/9 or 1/3
Step-by-step explanation:
There is a total of 9 marbles of both colors in the bag.
(3 red marbles + 6 blue marble = 9 marbles)
This means the denominator of your probability will be 9. There are 6 blue marbles in the bag so, in conclusion, the probability that you will take a blue marble out of the bag is 6/9. Also, 6/9 when simplified, is 1/3.
Have a great rest of your day
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AB= 7 and BC= 5. Find AC.
-
A) 9
B) 12
D) 8
C) 18
Answer:
B
Step-by-step explanation:
It would help if you can actually show the points
3. In the accompanying diagram, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to
be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches. What is the maximum
number of full cups of water that can be placed into the container without the water overflowing?
The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups
How to calculate volume?Volume of the container = 10 * 15 * 20 = 3000 in³
The volume of the cylinder is:
Volume of cylinder = π * radius² * height = π * 2² * 5 = 62.83 in³
Number of cups that can be placed in container = 3000 in³ / 62.83 in³ = 47.74
The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups
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Help help help help help
Answer:
x = 12
Step-by-step explanation:
Becuase 6/12 = 2 and 9 + 2 = 11
12
Please help cannot figure out how to get the answers
Answer:
Step-by-step explanation:
Marco has two number cubes. The faces of each number cube are numbered from 1 to 6. Marco rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.
4, 2 5, 2 3, 1 3, 4 2, 6
1, 1 4, 2 2, 3 3, 3 5, 1
1, 5 5, 2 1, 5 1, 2 1, 5
2, 4 4, 2 2, 4 5, 3 2, 4
Based on these results, what is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and a 4 showing on the top face of the other number cube?
A.
3
10
B.
9
20
C.
11
20
D.
1
36
Using it's concept, it is found that the probability that the next trial will result in a 2 and 4 is given by:
A. [tex]\frac{3}{10}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, the number of outcomes are taken from previous trials.
In this problem, the table states that of 20 trials, 6 resulted in either (2,4) or (4,2), hence the probability is given by:
p = 6/20 = 3/10.
Which means that option A is correct.
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Evaluate the function when x= -3, 0, and 1.
f(x) = 5 + 5x - 7
Answer:
f(-3) = -17
f(0) = -2
f(1) = 3
Step-by-step explanation:
f(-3) = 5 + 5(-3) - 7
5 -15 - 7
-10 - 7
=-17
f(0) = 5 + 5(0) -7
5 + 0 - 7
5 - 7
=-2
f(1) = 5 + 5(1) - 7
5 + 5 - 7
10 - 7
=3
A jar contains 416 coins.1/4 of the coins are £1 coins.
280 of the coins are 20p coins.
The rest of the coins are 10p coins.
Work out the total value of the 416 coins.
Answer:
it's I think 250
Step-by-step explanation:
it's 250 from me...
Which of the following is equivalent to 1 and
5/8