The ball will strike the ground approximately 3.71 seconds after it is thrown.
To determine when the ball will strike the ground, we need to find the value of t when h = 0.
So we need to solve the equation:
h = -16t² + 220
0 = -16t² + 220
16t² = 220
t² = 220/16
t² = 13.75
Taking the square root of both sides, we get:
t = ± √13.75
Since time cannot be negative, we take the positive root:
t = √13.75
t ≈ 3.71 seconds (rounded to two decimal places)
Therefore, the ball will strike the ground approximately 3.71 seconds after it is thrown.
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Jose has n number of video games Sofia has thats 4 times the number them that jose has Write a an expression for how many video games they have together Help pls :>
The required expression 5n represents the number of video games they have together.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Jose has n number of video games. Sofia has four times as many as Jose.
So Sofia has 4n number of video games.
According to the given situation, the required solution would be as:
⇒ n + 4n
Apply the addition operation and we get
⇒ 5n
This expression represents the number of video games they have together.
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How much fibre does the NHS recommend adults take in as a daily dose?
is it .....a) 40g......b) 10g......c) 20g...or d) 30g?
Answer:
The answer is D: 30 g.
Step-by-step explanation: I googled the answer to this question and it said that NHS reccomends that adults take around 30 g of fibre as a daily dose. If you take less, you may not get enough, but if you take more, you would possibly overdose. So, the answer is D: 30g.
Nick buys a car for $15,000. He gives the car dealer $5,000 and borrows the rest of the money at 7% simple interest for 5 years. What is the total amount of interest he will have to pay on the loan?
Answer: $3,500
Step-by-step explanation: 15000-5000=10000
0.7*10,000=700.
700*5=$3,500
The height of the first hill of the Screamer, a roller coaster, is 255 feet tall. The height of the second hill is LaTeX: \frac{11}{20}11 20 the height of the first hill. What is the height of the second hill of the Screamer? Enter your answer as an improper fraction in lowest terms. Do not forget your units.
Answer:
561/4
Step-by-step explanation:
Given that:
Height of first hill (f) = 255 feets
Height of second hill (s) = 11/20 the height of first hill
Height of second hill (s) = 11/20 of 255
Calculate the height of second hill:
s = 11/20 * 255
(11 * 255) / 20
= 2805 / 20
= 561 / 4
Height of second hill = 561/4
A factory has two assembly lines, M and N, that make the same toy. On Monday, only assembly line M was functioning and it made 900 toys.
On Tuesday, both assembly lines were functioning for the same amount of time. Line M made 300 toys per hour and line N made 480 toys per hour. Line N made as many toys on Tuesday as line M did over both days.
Write an equation that can be used to find the number of hours, t, that the assembly lines were functioning on Tuesday.
Answer: First choice 480t = 300t + 900
Step-by-step explanation:
A factory has two assembly lines, M and N, that make the same toy. On Monday, only assembly line M was functioning and it made 900 toys.
On Tuesday, both assembly lines were functioning for the same amount of time. Line M made 300 toys per hour and line N made 480 toys per hour. Line N made as many toys on Tuesday as line M did over both days.
Write an equation that can be used to find the number of hours, t, that the assembly lines were functioning on Tuesday.
ANS
Let say t is time in hrs for Which Both Assembly line worked
M made 300 toys per hr on Tuesday
Toys made on Tuesday at Assembly line M = 300 × t = 300t toys
N made 480 toys per hr on Tuesday
Toys made on Tuesday at Assembly line N = 480 × t = 480t toys
Toys Made by N on Tuesday = Toys made by M on Tuesday + Toys made by M on Monday
480t = 300t + 900
=> 180 t = 900
=> t = 900/180
=> t = 5 hr
N capacity on tuesday Per hour * t = M capacity on tuesday per hour * t + Toys made by M on Monday
N = N capacity on tuesday Per hour
M = M capacity on tuesday Per hour
=> t (N - M ) = 900
=> t = 900/(N-M)
Is -6.743743… a rational or irrational number?
Your answer:
Rational because .743 repeats
Rational because the 6 is negative
Irrational because the number never ends
Irrational because the 6 is negative
It's rational because it contains a repeating digit pattern, 743 (first option).
In particular, if
x = -6.743743…,
then
1000x = -6,743.743743… .
Subtracting, we can eliminate the trailing end and solve for x exactly:
1000x - x = -6,743.743743… - (-6.743743…)
999x = -6,737
x = -6,737/999
1-tanx/1+tanx=1+sin2x
are you sure about the ques?
4.64 × 10^2 in standard form
Answer:
464
Step-by-step explanation:
Hope This Helps!
Elizabhet debe preparar carapulcra para 32 personas si se basa en la receta que se muestra que cantidad necesitara de cada ingrediente carapulcra 8 porciones un medio de papa seca un medio kg de carne de chancho 1 cebolla grande 3 cucharadas de aji panca un entero un medio cucharadas de ajos molidos 1 cucharada de sal
Step-by-step explanation:
Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32
Papa seca = \(\frac{1}{2} *4\)
= 2 papas secas
Cerdo = \(\frac{1}{2} *4\)
= 2 kg de carne de cerdo
Cebollas = 1 * 4
= 4 cebollas grandes
Aji panca = 3 * 4
= 12 cucharadas de aji panca
Ajo molido = \(1\frac{1}{2} *4\)
= \(\frac{3}{2} *4\)
= 6 cucharadas de ajo molido
Sal = 1 * 4
= 4 cucharadas de sal
Charles is buying a new car. The car costs $15,500. He pays an
additional $2,500 for special options. Sales tax is 5% on the total
price of the car. He makes a $3,000 down payment. How much
does Charles need to borrow?
9514 1404 393
Answer:
$15,900
Step-by-step explanation:
The total price before the down payment is ...
($15,500 +2500)(1.05) = $18,900
After paying $3,000 down, Charles must borrow ...
$18,900 -3,000 = $15,900
EASY??????????????????????? KIND OF EASY IT'S GEOMETRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the measure of angle B if the two triangles are similar?
A. 35
B. 22
C. 113
D. 45
Answer:
A
Step-by-step explanation:
what is 22
+ 60 is it 87 , 650 , or 82, or 67
Answer:
82
Step-by-step explanation:
vote brainiest plzz
What is the slope of a line that passes through the points (8,-3) and (-2,5)
Answer:
-4/5
Step-by-step explanation:
A corn vendor at a farmer's market was selling a bag of 8 ears of corn for $2.56. Another vendor was selling a bag of 12 for $4.32.
Answer:
8 ears of corn for $2.56
Step-by-step explanation:
Which bag is the better deal?
to determine which bag is the better deal, determine the price per ear of corn
price per ear = total price / total ears
$2.56 / 8 = $0.32
$4.32 / 12 = $0.36
the cheaper ear is the 8 ears of corn for $2.56
Find AB. Please please hurry
Answer:
i pick my answer as 3
Step-by-step explanation:
7-4=3
Answer:
11
Step-by-step explanation:
A is -7 and b is -4 if you add them it would be positive 11 because a negative plus a negative is a positive. Here's this to keep in mind:
+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5
−(+) 8−(+2) = 8 − 2 = 6
There are 24 students in Ms. Brown's class, and 18 of them like to dance. What percent of the class likes to dance?
Answer:
66.66%
Step-by-step explanation:
The first model is the one you should use here as 24 and 18 are multiples of 3, this means that there is eight students in each group
That means that 18/24 is equal to 2/3 so the percentage of students that like to dance is 66.66%
pls help :D
i know how to do this but still
Answer:
x = 12
Step-by-step explanation:
\(3x-19=\frac{7}{4} x-4\\\\3x-\frac{7}{4} x=-4+19\\\\\frac{5}{4} x=15\\\\x=12\)
how will the z-scores compare if you use your height in inches verses centimeters?
The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.
The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.
Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.
Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
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question 3 options: an intensive care unit medical lab has an average turnaround time of 26.2 minutes and a standard deviation of 1.05 minutes. the upper specification limit is 30 minutes, and the lower specification limit is 20 minutes. what is the process capability index for this lab? round your answer to the nearest three decimal places.
The process capability index for this lab is 5.14
We know that the formula for the process capability index is:
\(C_{p}=min(\frac{X-LS}{3\sigma} , \frac{US-X}{3\sigma} )\)
Here, the average turnaround(X) = 26.2
the standard deviation ( σ) = 1.05 minutes
the nominal value for service = 30 minutes
the upper specification= 50 minutes
and lower specification = 10 minutes
Using above formula the process capability index would be,
\(C_{p}=min(\frac{X-LS}{3\sigma} , \frac{US-X}{3\sigma} )\\\\C_{p}=min(\frac{26.2-10}{3\times 1.05} , \frac{50-26.2}{3.15} )\\\\C_{p}=min(\frac{16.2}{3.15} , \frac{23.8}{3.15} )\\\\C_{p}=min(5.14, 7.56)\\\\C_{p}=5.14\)
Therefore, the process capability index is 5.14
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A cylindrical water tank has a diameter of 60 feet and a water level of 10 feet. If the water level increases by 2 inches, how many more cubic feet of water will be in the tank, to the nearest cubic foot?
After formula for the volume of a cylinder, the increase in water level results in approximately 260 more cubic feet of water in the tank.
The current water level is 10 feet, which is 120 inches. When the water level increases by 2 inches, the new water level will be 122 inches.
The radius of the tank is half of the diameter, which is 30 feet or 360 inches.
The current volume of water in the tank can be calculated using the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height of the water level.
V = π(360²)(120) ≈ 15,465,920 cubic inches
When the water level increases by 2 inches, the new height of the water level is 122 inches.
The new volume of water in the tank can be calculated using the same formula:
V = π(360²)(122) ≈ 15,914,693 cubic inches
The difference in volume between the two levels is:
15,914,693 - 15,465,920 = 448,773 cubic inches
To convert cubic inches to cubic feet, we divide by 1728:
448,773 ÷ 1728 ≈ 259.6 cubic feet
Rounding to the nearest cubic foot, we get:
260 cubic feet
Therefore, the increase in water level results in approximately 260 more cubic feet of water in the tank.
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Harriet and Maya share £300 in the ratio of 7:5. Wirk out how much money harriet gets
Answer:
$175
Step-by-step explanation:
you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.
They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25
Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.
Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.
the number of computers in private homes in a randomly selected area of queens follows the probability distribution described below. number of computers, x probability, p(x) 1 .40 2 .30 3 .20 4 or more ??? what is the probability that a randomly selected home in queens has 4 or more computers? 0.05 0.10 0.15 0.25 impossible to determine
The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.
The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.
To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.
So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:
P(4 or more) = 1 - P(1 or 2 or 3)
P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9
P(4 or more) = 1 - 0.9 = 0.1
Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.
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what is a better deal 12 cans for $0.88 each or 16 cans for $ 0.85 each
16 cans for .85 cents is a better deal because it is less cents per can than there is in the other deal. May I please be the brainiest? I have never been that and I would love it
I NEED HELP ASAP PLEASE I WILL GIVE BRAINLIEST
Simplify:
| -1/2 - 1/8| + ( -3/4 + 5/6)
A. 1/12 B. -5/8 C. -13/24 D. 17/24
Answer:
0.705
Step-by-step explanation:
| -1/2 - 1/8| + ( -3/4 + 5/6)
| -1/2 - 1/8| + ( -0.75 + 0.83)
| -1/2 - 1/8| + 0.08
| -0.5 - 0.125| + 0.08
|-0.625| +0.08
0.625+0.08
0.705
hope it helps
ASAP HELP ASAP HELPPPP
Answer:
3 or 2 is the answer to the question
someone help me on this que stion AS AP PLEASE!!
D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.
The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.
Analyzing the given options:
A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.
B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.
C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.
The question was incomplete. find the full content below:
Which of the following conclusions is true AND obtained by using the Law of Detachment
A. If today is Saturday, then there is no school.
Today is Saturday.
There is no school.
B. If you work 8 hours, then you'll earn $100.
If you earn $100, you'll be able to buy a new set of headphones.
Jonathan works 8 hours.
He is able to buy a new set of headphones.
C. If a person lives in Long Beach Island, then they live in Ocean County.
Brick is in Ocean County.
George lives in both Brick and Ocean County
D. None of these.
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Nolan drives 15 miles in 30 minutes. If he drove three hours in total at the same rate,
how far did he go?
Before you try that problem, answer the question below.
How many minutes did Nolan drive in total?
Use the following formulas to answer the questions below: T(M, R) R + 0.6(M R) M(z) 220-z where R- resting heart rate, M- maximum heart rate, and -age Recall our discussion of heart rate and composition of functions from the end of the section. Find the training heart rate function, T(M) for a person with a resting heart rate of 62 beats per minute, then find the following. a. Find the maximum heart rate function, M() for a person a years of age. M(x)
The training heart rate function, T(M) for a person with a resting heart rate of 62 beats per minute is 0.6M.
a. The maximum heart rate function, M() for a person a years of age. M(x) is 220 - x.
The formulas provided are:
T(M, R) = R + 0.6(M - R)M(z) = 220 - z
where R is the resting heart rate, M is the maximum heart rate, and z is the age.
Using the formula T(M, R) = R + 0.6(M - R), we can find the training heart rate function, T(M), for a person with a resting heart rate of 62 beats per minute:
T(M, R) = R + 0.6(M - R)T(M, 62) = 62 + 0.6(M - 62)T(M, 62) = 62 + 0.6M - 37.2T(M, 62) = 24.8 + 0.6M
Therefore, the training heart rate function for a person with a resting heart rate of 62 beats per minute is T(M) = 24.8 + 0.6M.
To find the maximum heart rate function, M(x), for a person a years of age, we can use the formula M(z) = 220 - z:
M(z) = 220 - z
M(a) = 220 - a
Therefore, the maximum heart rate function for a person a years of age is M(x) = 220 - x.
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Explain the steps for moving three disks from one peg to another. start with moving the small disk to the right peg.
There are some ways by which move the steps from sequence and series method like
Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.
According to the statement
we have to explain the moving steps to change the position of the given three disk from one peg to another.
So, for the solution of this problem
Firstly we know that the sequence and series
An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements.
we have to use the sequence and series method.
So, according to this method
Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.
So, there are some ways by which move the steps from sequence and series method like
Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.
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Find the area of a right triangle with a height of 8 1/2 and a base of 15
Answer:
23
Step-by-step explanation: