Answer:
First part:
Set h(t) = 73 and solve for t.
-16t2 + 64t + 16 = 73
-16t2 + 64t - 57 = 0
Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 73 on the way up, and the higher value is the time to reach 73 again, on the way down.
Second part:
Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.
Step-by-step explanation:
A rectangular garden is fenced on all sides with 262 feet of fencing. The garden is 9 feet longer than it is wide. Find the length and width of the garden.
9514 1404 393
Answer:
70 ft long61 ft wideStep-by-step explanation:
Let w represent the width of the garden. Then w+9 represents the length. The perimeter is given by the formula ...
P = 2(L+W)
Filling in the known information, we have ...
262 = 2((w+9) +w)
131 = 2w +9 . . . . . . . divide by 2
122 = 2w . . . . . . . . . subtract 9
61 = w . . . . . . . . . . . divide by 2 (width)
w+9 = 70 . . . . . . . . length
The length of the garden is 70 feet; the width is 61 feet.
Megan deposits 4300 into an account that pays simple interest when she withdraws her money 6 months later she receives $4,536.50 what rate of interest did the account pay round to the nearest whole percent
Answer:
4500
Step-by-step explanation:
because if you round 4,536.50 you will get 4500 since 36 is before 50+
Answer:4500
Step-by-step explanation:
y=3x+22
x is equal to 225
9514 1404 393
Answer:
y = 697
Step-by-step explanation:
Put the value of x into the equation and do the arithmetic.
y = 3·225 +22 = 675 +22
y = 697
The center of an ice rink is located at (0, 0) on a coordinate system measured in meters. Susan is skating along a path that can be modeled by the equation y = 6x – x2 – 5. Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9). If the rink is a circle with a radius of 35 meters, which statement best interprets the solution(s) of a system of equations modeling the paths of the skaters?
A. The skaters’ paths intersect once, but that point is outside the rink.
B. The skaters’ paths intersect once, and that point is inside the rink.
C. The skaters’ paths intersect twice, but only one of those points is inside the rink.
D. The skaters’ paths intersect twice, and both points are inside the rink.
Answer:
Option C:The skaters path intersect twice, but only one of those points is inside the rink.
Step-by-step explanation:
Coordinates of center of ice rink: (0,0) Radius of ice rink circle = 35 m
We know that the equation of a circle with center coordinates (a,b) and radius of (r) is given as; (x - a)² + (y - b)² = r²
Thus, the total area on which the skaters are skating will be given by the equation;
x² + y² = 35²
Now, we are told the path along which Susan is skating is modeled by the equation: y = 6x - x² - 5
While Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9)
From equation of a parabola, the path along which like is skating can be modeled by;
(x - 8)² = 4a(y + 9)
To find a, we will substitute the coordinate started at to get;
(10 - 8)² = 4a(-21 + 9)
4 = 4a × -12
Divide both sides by 4 to get;
a = -1/12
Thus;
(x - 8)² = 4(-1/12)(y + 9)
(x - 8)² = (-1/3)(y + 9)
This gives: 3(x - 8)² = -(y + 9)
I've drawn the graph on demos and attached it.
From the graph we can see that the skaters points intersect twice but one is inside the rink circle while the other is outside the rink circle. The point at which they intersect outside the rink was slightly cropped out because of size. But it is clearly seen that they are both approaching point of intersection.
Thus, correct answer is Option C.
Answer:
C
Step-by-step explanation:
just took the quiz
The correct Standard Form of the equation y=−2/7x−11/7
Answer:
y=-(2)/(7)x-5
Step-by-step explanation:
11.0.
Number o
In 6-card poker, played with a standard 52-card deck, 52Cg, or 20,358,520, different
hands are possible. The probability of being dealt various hands is the number of
different ways they can occur divided by 20,358,520. Shown to the right is the number
of ways a particular type of hand can occur and its associated probability. Find the
probability of not being dealt this type of hand.
The probability is (Round to six decimal places as needed.)
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and then click Check Answer
Using it's concept, it is found that there is a 0.999409 = 99.9409% probability of not being dealt this type of hand.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 20,358,520 different outcomes. The given outcome can happen in 1024 ways, and we want to find the probability of it's complement, hence those are the non-desired outcomes and the probability is:
p = (20,358,520 - 1,2024)/20,358,520 = 0.999409.
0.999409 = 99.9409% probability of not being dealt this type of hand.
More can be learned about probabilities at https://brainly.com/question/14398287
At a baseball game, Sheena bought a sandwich for $6.95 and two pretzels for $2.75 each. She paid with a $20 bill. How much change did she receive? Explain your thinking. *
Answer:
$7.55
Step-by-step explanation:
6.95+2.75+2.75=12.45
20-12.45=7.55
I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!
Answer:answer is b
Step-by-step explanation: Just makes since
Marc eats an egg sandwich for breakfast and a big burger for lunch every day. The egg sandwich has 250 calories. If Marc has 5,250 calories for breakfast and lunch for a week in total, how many calories are in one big burger.
Answer:
21 calouris
Step-by-step explanation:
5250/250
Answer:
500
Step-by-step explanation:
250 X 7 = 1750
5250 - 1750 = 3500
3500 divided by 7 =500
Greta writes a fraction that is greater than 1 and less than 2. Jullo writes a fraction that is greater than 3 and less than 4. Greta and Julio
find the product of the fractions they write, which statement about the value of the product must be true?
The product is greater than 1 and less than 2.
The product is greater than 3 and less than 4.
The product is greater than Julio's fraction
The product is less than Greta's fraction,
Part A
Choose a writing prompt from the following list. Then brainstorm a topic by asking the questions in the table. Fill in the
table with the prompt, topic, and answers to the questions:
Recount a personal achievement that you're proud of.
• Describe a place that has helped make you who you are.
• Identify and describe your role model.
Examine something that you're afraid of..
Describe something that motivates you.
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AAEEE 3
Font Sures
3
5
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Writing Prompt
Topic
What?
Where?
When?
Who?
Why?
How?
I
I’m
Answer:
Step-by-step explanation:
you pick your topic
the what is what is your topic
where does your topic take place
who is in your topic or who is it talking about
why did you choose this topic
in the figure below, C is between A and D, and B is the midpoint of AC. If BD=8 and BC=6, find AD.
Answer:
AD = 14
Step-by-step explanation:
BC = 6
BD = 8
CD = BD - BC
CD = 8 - 6
CD = 2
Since B is the midpoint of AC, therefore:
AC = 2*BC
AC = 2*6
AC = 12
Thus:
AD = AC + CD
AD = 12 + 2
AD = 14
The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.
Answer:
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
Step-by-step explanation:
The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.
So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
please help! :( i dont understand
9. Show that the polygons
are congruent by using
rigid motions and by
identifying all the
congruent corresponding
parts. Then write a
congruence statement.
Rigid motions are, exclusively, rotations, reflections, and translations. If you can move one polygon onto the other by using only those motions, they are congruent. One pentagon can, for example, be translated onto another pentagon, making them congruent. If, after being translated, point A is on point F and B on G and C on H and D on I and E on J, the congruence statement is: [tex] ABCDE\cong FGHIJ.[/tex]
Compare: -7 -4
PLEASE HELP ME!
In a 20 item true-false examination, if 12 correct answers constitute a passing grade,
what is the probability that someone will pass, if they are guessing?
A. .8398
B. .2517
C. .1201
D. .1317
Answer:
The answer is B, I know this because I just took a test with this question lol
If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.
What is meant by probability?Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of events occurring. Probability = the number of possible paths to success. The total number of possibilities For example, the probability of flipping a coin and getting heads is 12, because there is only one way to get a head and there are two possible outcomes.Therefore,
Let X denote the number of correctly answered questions out of a total of 20.
Bernoulli trails are formed by repeated coin tosses. Because the "head" on a coin represents the correct answer and the "tail" represents the incorrect answer, the questions that are correctly answered are Bernoulli trials.
[tex]$&\therefore \mathrm{p}=\frac{1}{2} \\[/tex]
[tex]&\therefore \mathrm{q}=1-\mathrm{p}=1-\frac{1}{2}=\frac{1}{2}[/tex]
X follows a binomial distribution with n = 20 and p = 1/2
[tex]&\therefore P(X=x)={ }^n C_x q^{n-x} p^x \\[/tex]
[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20-x} \cdot\left(\frac{1}{2}\right)^x \\[/tex]
[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20}[/tex]
P ( at least 12 questions answered correctly )= P (X ≥ 12)
[tex]&=\mathrm{P}(\mathrm{X}=12)+\mathrm{P}[/tex][tex](\mathrm{X}=13)+\ldots+\mathrm{P}(\mathrm{X}=20) \\[/tex]
[tex]&={ }^{20} \mathrm{C}_{12}\left(\frac{1}{2}\right)^{20}+{ }^{20}[/tex][tex]\mathrm{C}_{13}\left(\frac{1}{2}\right)^{20}+\ldots+{ }^{20}[/tex][tex]\mathrm{C}_{20}\left(\frac{1}{2}\right)^{20} \\[/tex]
[tex]&=\left(\frac{1}{2}\right)^{20} \cdot\left[{ }^{20} \mathrm{C}_{12}+{ }^{20} \mathrm{C}_{13}+\ldots+{ }^{20} \mathrm{C}_{20}\right][/tex]
Hence, If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.
The complete question is:
In an examination, 20 questions of true-false type are asked. Suppose a student tosses a fair coin to determine his answer to each question. If the coin falls heads, he answers 'true', if it falls tails, he answers 'false'. Find the probability that he answers at least 12 questions correctly.
To learn more about probability, refer to:
https://brainly.com/question/24756209
#SPJ2
what divide by -1/2 equals -7/3
Slove the equation for x, and enter your answer below.
7x - 12x - 5 = -45 + 15
How do I solve this please provide an explanation
Answer:
x = 5 (check steps below)
Step-by-step explanation:
first off lets combine like terms to make it simple so subtract 7x and 12x which comes out to be -5x and add -45 and 15 on the other side which equals -30 so we end up with
-5x -5 = -30
Now we add 5 onto the other side
-5x = -25
finally we divide by -5 on each side to have x by itself
x = 5
(the negatives cancel each other)
what is the best classification for angle 1 and angle 3?
Answer:
C not adjacent because adjacent angles are right next to each other. And <1 and <3 are not right next to each other.
Step-by-step explanation:
They are not vertical angles this is what vertical angles look like ><
They are not adjacent or a linear pair.
So it is C.
True or False: A triangle can be formed with sides 3inches, 3inches, 6inches. Explain your choice.
Answer: It's true because 3+3+6 = 12 and a triangle has 3 sides and 12/3 is 4 that's why a triangle can be fored with these measurments.
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
It would be classified as an isosceles triangle.
Hope this helps!
Find the savings plan balance after 2 years with an APR of 8% and monthly payments of $150
Answer:30 dollar savings
I need help !!!!!In the figure shown
Answer: it is D
Step-by-step explanation:
Help please! I need to know the domain and range of this graph
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]domain = ( - \infty \: , \: \infty ) [/tex]
[tex]range = ( - \infty \: , \: \infty ) - (0)[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
Domain: (-oo, 3) U (3, +oo)
Range: (-oo, 0) U (0,oo)
Step-by-step explanation:
An object is moving at a speed of 2 feet every 8.5 minutes. Express this speed in meters per hour.
Answer:
67 meters per hour
Step-by-step explanation: becasue i need pints
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius:
Temperature (degrees Celsius) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
a. The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: _____ (Use decimal notation. Give your answer to four decimal places.)
b. Use the equation to predict (
±
0.01) beak heat loss, as a percent of total body heat loss from all sources, at a temperature of 25 degrees Celsius.
c. What percent (
±
0.01) of the variation in beak heat loss is explained by the straight-line relationship with temperature?
d. Find the correlation r (
±
0.001) between beak heat loss and temperature.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
Using an online regression calculator ; the regression equation obtained is :
ŷ = 2.0927X + 0.6029
X = independent variable
Y = predicted variable
2.0927 = slope
0.6029 = intercept
B.) temperature = 25
ŷ = 2.0927(25) + 0.6029
= 52.9204
C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient
0.8785² = 0.7718
D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator
Can someone please help, ty!! (Will mark brainliest)
Answer:
Its the first one!!
Have A Nice Day!!!!!!
:)
Need help please if right get brainliest
Answer: -2
Step-by-step explanation:
Rahul deposited Rs. 12,000 in a bank for 2 years. If it is compoundedannuallyat 9% p.a., what amount will he receive on maturity? (at the end of two years).
Answer:
Rs 14257.2
Step-by-step explanation:
From the formula;
A= P(1 + i)^n
A= amount
P= principal
i= rate
n= time
A= 12000(1 + 0.09)^2
A=12000(1.09)^2
A=Rs 14257.2
Find three consecutive even integers whose sum is -42
Answer:
Three consecutive even integers are x, x+2, x+4.
Step-by-step explanation:
Their sum is x+x+2+x+4 = 3x+6.
Hope this helped! <3