Answer:
explanation and answer
A basketball is shot into the air. Its height is represented by the polynomial equation
h(t) = -162 + 35t + 5, where h is the height of the basketball at t seconds. What is
the height of the basketball at 1 second?
A) 56 feet
B) 24 feet
C) 14 feet
D) 8 feet
Answer:
B) 24 feet
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle h(t) = -16t^2 + 35t + 5[/tex]
Step 2: Find Height
Since we are trying to find the height of the basketball at 1 second, it implies that t = 1. Therefore, we can simply substitute t = 1 into our function:
[tex]\displaystyle\begin{aligned}h(1) & = -16(1)^2 + 35(1) + 5 \\& = -16(1) + 35(1) + 5 \\& = -16 + 35 + 5 \\& = \boxed{24} \\\end{aligned}[/tex]
∴ the height of the basketball at 1 second is equal to 24 feet.
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Topic: Algebra I
Volume of cylinder Radius 3.5 Height 3.5
Answer:
I think the volume is 538.51 in^3.
Step-by-step explanation:
I have tried my hardest sorry if i am wrong
Find the number of sample outcomes that are common to the two events.
Answer:
The event space is the number of outcomes in the event you are interested in. The event space for rolling a number less than three is 1 or 2. So the size of the event space is 2. For equally likely outcomes, the probability of an event E can be written P(E).
The number of sample outcomes that are common to the two events would depend on the specific events and the information provided about their sample spaces.
To find the number of sample outcomes that are common to two events, we need to determine the intersection of the two events. The intersection represents the outcomes that satisfy both events simultaneously.
If we know the number of sample outcomes for each individual event, we can find the number of outcomes that are common to both events by finding the smaller of the two numbers.
For example, let's say event A has 50 possible outcomes and event B has 30 possible outcomes. The number of sample outcomes that are common to both events would be the smaller of the two, which is 30 in this case.
Therefore, the number of sample outcomes that are common to the two events would depend on the specific events and the information provided about their sample spaces.
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simplify (4x^2-7x+14)(3x+5x^2-6)
Please show work
Answer:
-23x^3+20x^4+25x^2+84x-84
Step-by-step explanation:
1 Expand by distributing sum groups.
4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)
2 Expand by distributing terms.
12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)
3 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)
4 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84
5 Remove parentheses.
12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84
6 Collect like terms.
(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84
7 Simplify.
-23x^3+20x^4+25x^2+84x-84
Which translations of the pentagon below will result in a diagram of the pentagon and its image with line symmetry?
i) L6
ii) D5
iii) R2
iv) U3
Answer:
iii) R2
Step-by-step explanation:
I need a answer quick!
Answer: The answer for 16 is -6 and 3
The answer for 18 is -9 and -4
x^2 + 3x - 18 = 0
(x + 6) (x - 3) = 0
x^2 + 13x + 36
(x + 9) (x + 4) = 0
PLS HElp answer is below give me a answer for each one and a complete sentence pls il give brainiest and 5 stars
Answer:
1. She should use Length x Width x Height.
2. The unit of the answer is 30.
3. The volume of the box is 30 units.
Rewrite the following polynomial in standard form. - 10 - 9x2 +x
Answer:
-9x² + x - 10
Step-by-step explanation:
To write in a standart form, variables go in an alphabetical order, from highest to lowest exponent. The last thing to write is a number by itself (ex. 10)
I need help ASAP with this pyramid scale factor question!
Answer:
C
Step-by-step explanation:
because 14 is 7 x 2 the scale factor from the small pyramid to the big pyramid would be 1/2
Answer:
(b) 1/8
Step-by-step explanation:
You want the ratio of the volume of the small pyramid to that of the larger one, given their base lengths are 7 and 14 units.
Scale factorThe pyramids are presumed to be similar, so the ratio of the sides given is also the ratio of the unmarked sides and the heights. The volume ratio is the cube of this ratio of side lengths:
smaller/larger sides = 7/14 = 1/2
smaller/larger volumes = (1/2)³ = 1/8
The ratio of the volume of the small pyramid to the larger is 1/8.
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please help me thank you if you do
2 2/3 of a fraction
________________
2 full and 2/3
- Jackson
I need the formula for this graph
Answer:
y=[tex]\frac{1}{12} x+\frac{1}{4}[/tex]
Step-by-step explanation:
Hey guys! Sorry to bother but I need help with these. 5th grade math, will give brainliest! (If you see multiple questions by me that look the same, they are all different.)
Answer:
Question seven is 14, Question 8 is 16
Step-by-step explanation:
hoped this helped
What is the solution to the following equation?
-3+x=-8
A. X-11
OB. x=-11
OC. x=5
D. x=-5
Answer:
x = -5
Step-by-step explanation:
-3+x = -8
Add 3 to each side to isolate x
-3+x+3 = -8+3
x = -5
Geometry
A cylinder has a diameter of 14
centimeters and a volume of 11211
cubic centimeters. What is the height,
in centimeters, of the cylinder?
Answer:
72.828
Step-by-step explanation:
h=V
π(d
2)2=11211
π·(14
2)2≈72.828
When developing functions a, b, and c, the studio restricted the domain of each function to the interval [0, 10). What are
some possible reasons for restricting the domain in this way?
Answer: The domain wouldn’t include negative because it’s not possible to backward in time. The studio might limit the domain to numbers less than or equal to 10 because for x > 10 the number of views is unrealistically big. Also, viral marking slow after a while so the functions may not fit the data as well after 10 days.
Answer:
The answer above is the exact same as on edmentum that the teacher put, just so you know.
what’s the area and perimeter for this problem?
Answer:
area: 1.9×0.75÷2
0.7125
perimeter: 2+0.75+2.25
5
If y varies jointly with x and z, and y = 200 when x = 8 and z = 10, what is x when y = 165 and z = 11? what is the value of k? 250 160 5.2 2.5
The value of x is 6 and the value of k is 2.5. The correct option is the last option - 2.5
VariationFrom the question, we are to determine the value of k, that is, the constant of proportionality
From the given information,
y varies jointly with x and z
Mathematically, this can be written as
y ∝ xz
Then, introducing the constant of proportionality, k, we get
y = kxz
Also, from the given information
y = 200 when x = 8 and z = 10
Putting these values into the equation, we get
200 = k × 8 × 10
200 = 80k
∴ k = 200/80
k = 2.5
Now, for the value of x when y = 165 and z = 11
Using the equation
y = kxz
Then, put the parameters into the equation
165 = 2.5 × x × 11
165 = 27.5x
∴ x = 165 / 27.5
x = 6
Hence, the value of x is 6 and the value of k is 2.5. The correct option is the last option - 2.5
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Answer: 2.5
Step-by-step explanation: I did the quiz
I need to figure out on how to do this, please help me
Answer:
Q = 108°
R = 72°
Step-by-step explanation:
Quadrilateral means this is a four-sided shape. Parallelogram means that both sets of opposite side are parallel, so all the angles are either equal or add up to 180° (supplementary)
The order of the letters matters bc PQRS means that you go along an edge from P to Q, but you have to go thru the middle of the shape to get from P to R. So P and Q add up to 180°.
P + Q = 180°
72° + Q = 180°
Q = 108°
Opposite from each other, across the middle of the shape, P and R are equal.
P = R = 72°
What is the domain of the function?
Domain: x
Rick went on a hike with his family in Big Bend National Park. During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.
Rick has a pet snake, so he was most excited to see the snakes. What percent of the animals were snakes?
10 per cent of the animals were snakes in the given question.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.What per cent of the animals were snakes.The percentage will be calculated as:=
Snake percentage = ( 2 / 20 ) x 100 = 0.1 x 100 = 10 %
Therefore, 10 per cent of the animals were snakes in the given question.
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Can someone please answer this by today
Susie is thinking about changing her auto insurance policy at fret-no-more auto insurance. her current policy includes the following options: $50/100,000 limit for bodily injury, $25,000 limit for property damage, $250 deductible for collision, and $50 deductible for comprehensive. which of the following changes would increase susie’s limits the most without increasing her monthly premium by more than $5.00? fret-no-more auto insurance type of insurance coverage coverage limits annual premiums bodily injury $25/50,000 $21.35 $50/100,000 $32.78 $100/300,000 $42.10 property damage $25,000 $115.50 $50,000 $142.44 $100,000 $193.78 collision $100 deductible $490.25 $250 deductible $343.33 $500 deductible $248.08 comprehensive $50 deductible $105.79 $100 deductible $88.23 a. increase coverage on bodily injury to $100/300,000. b. increase coverage on property damage to $50,000. c. increase coverage on bodily injury to $100/300,000 and on property damage to $50,000. d. increase coverage on bodily injury to $100/300,000 and on property damage to $100,000.
The change that would increase Susie’s limits is C. increase coverage on bodily injury to $100/300,000 and on property damage to $50,000.
What is an insurance?It should be noted that an insurance simply means a form of risk reduction that is taken regarding an asset.
In this case, the change that would increase Susie’s limits is to increase coverage on bodily injury to $100/300,000 and on property damage to $50,000.
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A restaurant chef wants to install a new floor in his kitchen. The kitchen measures 8 yards wide and 12 yards long, and the flooring costs $7.01 per square yard. How much will the chef's new floor cost?
John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 2),
C(1, -4) and D(-3, -2). What is the area of the space that cities enclose? Round your
answer to the nearest whole number. Do not include units in your answer.
Answer:
30
Step-by-step explanation:
can someone figure this out for me?
Answer:
it spells ucla, or U C LA
get it you see Los Angeles
or the school name in Los Angeles
Step-by-step explanation:
you shade in 12.5in^2
77cm
1.35m^2
48m
17cm^2
11400 in ^2
20.8cm
25m
20in
275 cm ^2
120 ft
43.4 cm^2
6.6m
105m^2
544 in
30m^2
28.8cm
600ft^2
log^2 8 = 3 in exponent form
Answer:
2³ = 8
Step-by-step explanation:
㏒ₐ ᵇ = ⁿ ⇔ aⁿ = b
Suppose that you have 8 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.
Your question is Incomplete. Please read below for the missing content.
Total cards = 8 + 5 = 13
The selections are being made with replacement. Hence,
a) P(G1 and G2) = P(G1)*P(G2) = (8/13)*(8/13) = 0.3787
b) P(Atleast 1 green) = 1 - P(No green) = 1 - (5/13)*(5/13) = 0.8521
c) P(G2 | G1) = P(G2) = 8/13 = 0.6154
What is the probability of replacement?
Probability with replacement is used for questions where the outcomes are back again to the sample space again. which means that when the object is selected, then its miles changed and returned to the sample space, so the range of elements of the sample space remains unchanged.
Conclusion: The chance of two consecutive attracts without a replacement from a deck of playing cards is calculated because the range of viable successes over the variety of viable results, is expanded together for each case. accordingly, for the primary ace, there may be a 4/52 possibility and for the second there is a 3/51 probability.
Suppose that you have 8 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards with replacements. Round your answers to four decimal places.
G1 = the first card drawn is green
G2 = the second card drawn is green
a. P(G1 and G2) =
b. P(At least 1 green) =
c. P(G2|G1) =
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The spinner game at the school carnival has a long line, but Edgar thinks that the fun prizes are worth the wait. The spinner is divided into 4 unequal sections. As he moves up in line, Edgar notices the spinner results of the people ahead of him: 3 glow sticks, 5 bouncy balls, 8 whistles, and 2 foam gliders
The probability of the spinner landing on whistle during Edgar's turn is 4/9
How to determine the probability?The experimental results are given as:
3 glow sticks, 5 bouncy balls, 8 whistles, and 2 foam gliders
The total number of sample is:
Sample = 3 + 5 + 8 + 2
Sample = 18
The probability that Edgar's spin land on whistle is:
P(Whistle) = Whistle/Sample
This gives
P(Whistle) = 8/18
Evaluate
P(Whistle) = 4/9
Hence, the probability of the spinner landing on whistle during Edgar's turn is 4/9
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Pls help max Point + brainliest
Determine which set has the greatest Radius. Several cylinders are separated into 4 sets. The cylinders with the same radius are in the same set. The graph of the equations represents the volume of each set of cylinders as they are being filled with water.
o Set 1
o Set 2
o Set 3
o Set 4
So it's volume vs water filled graph
Higher the volume higher the radiusFor this y should be highest
Observe all 4
In set 1
The line is more stepped towards y axis means y is higherSo set 1 has highest volume
Hence it has greatest radius
A rectangle portrait is 6 feet wide and 4 feet high. What is its perimeter?
Answer:
20 feet
Step-by-step explanation:
Perimeter :
2(height + width)2(4 + 6)2(10)20 feet