Answer:
the coaster diameter is 8
diameter=2r d=4+4 #d=83. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of
20 feet per second. The height h in feet of the ball is given by h = -167 + 20t +6,
where t is the time elapsed in seconds. How long will it take the ball to hit the
ground if no other players touch it? State the method you used to solve this
quadratic equation and why you chose that method.
Answer:
1.5secs
Step-by-step explanation:
Given the expression that models the height as;
h(t) = -16t²+20t +6
The ball will touch the ground at when h(t) = 0
0 = -16t²+20t +6
Swap
-16t²+20t +6 = 0
Divide through by -2
8t²-10t-3 = 0
Expand using the general formula
t = -(-10)±√(-10)²-4(8)(-3)/2(8)
t = 10±√100+96/16
t = 10±√196/16
t = 10±14/16
t = 10+14/16
t = 24/16
t = 1.5
Hence it will take the ball 1.5secs to hit the ground
Please help I need to find the area can anyone help me
Answer:
what area do u need, l think it's 5 in 19
Find the surface area of the prism.
Answer:
58.1 (not rounded)
Step-by-step explanation:
You add all sides given to you to get the SA of the prism.
please help me ill give you the crown thing if its right no joke
Simplify the answer
Answer:
11/12
Step-by-step explanation:
Answer:
A. 11/12 cup
Step-by-step explanation:
3 1/4 = 2 5/4
2 5/4-2 1/3 = 5/4-1/3
5/4-1/3 = 11/12
X A padlock's combination is five digits long using the digits o through 9. 0/4 Numbers can repeat within the combination. What is the probability that my combination has all even numbers in it (for example 22222 or 86840)? 0.01 w 0.03 0.05 Х O 0.1 Correct answer 0.03 OFC mooton Monday or Tuesday at 3PM 4PM
Answer:
Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.
If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.
The number of permutations of n objects taken r at a time is determined by the following formula:
P(n,r)=n!(n−r)!
Example
A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?
A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:
P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040
In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:
C(n,r)=n!(n−r)!r!
Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?
Step-by-step explanation:
How is an equation like an expression? How is it different?
Answer:
See explanation.
Step-by-step explanation:
An expression is a set of terms that are combined using addition, subtraction, multiplication, or division. The following are examples of expressions:
[tex]2x-1[/tex]
[tex]5y+8[/tex]
[tex]2[/tex]
Note: expressions do not equal anything.
In contrast, equations are expressions that equal at least one term. The following are examples of equations:
[tex]2y-4=26[/tex]
[tex]4x-4=0[/tex]
[tex]x=10[/tex]
[tex]y=x+2[/tex]
Note: equations do equal a term, as shown in the examples.
Carter is going to invest $79000 and leave it in an account for 12 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required for carter to end up with $121000?
Answer:
r≈3.55%
Step-by-step explanation:
What is the value of the expression below?
900 – 2 x (18x3)
Help it’s for a test and I need it done in under 20 mins
I NEED THE ANSWER IN THE NEXT MINUTE
Answer:
508.68
*sorry if this is late
Step-by-step explanation:
Divide 36 by 2 to get radius
Multiply 18 by itself to get 324
Multiply 324 by 3.14 to get the area of a circle
Divide it by 2 to get the area of the semi circle
Find the measure of angle T
Answer:
100 degrees
Step-by-step explanation:
The measure of angle T is 100 degrees.
I have a bag of marbles. 4 are blue, 3 are orange, 2 are red, and 1 is purple.
What color will most likely be drawn?
What is the probability of pulling an orange?
What is the probability of pulling a red AND THEN a purple?
What is the probability of pulling a white?
Step-by-step explanation:
most likely be drawn: blue
pulling orange: 3/10
pulling red: 2/10 or 1/5
pulling purple: 1/10
pulling white: 0
Please help. SINE=?
Answer:
opposite - hypotenuse
PLLLZZZZ HELPPPPPPP MEHHHHHH
What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.
Given:
Rolling a fair dice.
To find:
The theoretical probability of rolling a number less than 5.
Solution:
The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.
Total outcomes = 6
Numbers less than 5 are 1, 2, 3, 4.
Favorable outcomes = 4
Now, the theoretical probability of rolling a number less than 5 is:
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{4}{6}[/tex]
[tex]\text{Probability}=\dfrac{2}{3}[/tex]
In decimal form, it can be written as:
[tex]\text{Probability}\approx 0.67[/tex]
In percentage form, it can be written as:
[tex]\text{Probability}=\dfrac{2}{3}\times 100[/tex]
[tex]\text{Probability}\approx 66.67%[/tex]
Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are [tex]\dfrac{2}{3}, 0.67[/tex] and [tex]66.67\%[/tex] respectively.
Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than of tomatoes. She bought 3 times as many pounds of tomatoes than pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost $10 per lb, how many of each did Sana's mother buy for $80?
Please explain how you got the answer like the steps and please dont link any files
1(Identifying):
Tomatoes-x--$3 per lb
Mushrooms- 1/3 x-- $10 per lb
Peaches- x+1-- $6 per lb
2(Equation):
3x+6(x+1)+1/3x*10=80
3x+6x+6+10/3 x=80
12 1/3 x= 74
x=74÷(12+1/3)
Step 3(Final Equations):
74*3/37=6=tomatoes
Meaning...
6+1=7=Peaches
6/3=2= mushrooms
Answer:
7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms
Answer:
7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms
Step-by-step explanation:
A mother is now 2 1/2 times old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother.
Answer:
The present age of the mother is 40 years
Step-by-step explanation:
Let the age of the mother be M and that of the daughter D. Given that the mother is now 2 1/2 times old as her daughter Mary then
M = 2.5D
Given that Four years ago the ratio of their ages was 3:1
The mother's age 4 years ago was
= M - 4
and that of the daughter then was
= D - 4
Hence
(M - 4)/(D - 4) = 3/1
Cross multiply
M - 4 = 3(D - 4)
M - 4 = 3D - 12
M = 3D - 12 + 4
M = 3D - 8
Substitute into the first equation
3D - 8 = 2.5D
3D -2.5D = 8
0.5D = 8
D = 8/0.5
= 16 Years
M = 2.5D
M = 2.5 * 16
= 40 Years
plz help what’s the answer
Answer:
a. 192 b.60 c. 184, 164, 350
Step-by-step explanation:
a.Total of males=88+104
b.Female, Anaerobic=156-96
c. aerobic= 88+96=184
anaerobic=104+60
total=192+158
The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately how many students were enrolled at South High School in 2010?
A.About 10,985 students
B.About 9,552 students
C.About 5,366 students
D.About 5,740 students
Answer: A.
Step-by-step explanation:
Answer:
A (10,985)
Step-by-step explanation:
y= 1,350(1+0.15)^15
1,350 is the student =a
0.15 which originally was 15% is the rate. =r
^15 is the time because 1995 to 2010 took 15 years. =t
The equation I use for this question:
y=a(1+r)^t a.k.a Exponential growth formula
What is the solution to the system of linear equations graphed below?
Answer:
(1/2,4)
Step-by-step explanation:
because that is where the line crosses each other
the x is 1/2
the y is 4
How do you find a factor in a graph?
Which fraction is less 2/9 1/3
Answer:
2/9 is less than 1/3
Step-by-step explanation:
2/9= 0.222
1/3=0.333
What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest
tenth of a cubic meter?
Answer:
19.4 m³
Step-by-step explanation:
V=[tex]\frac{4}{3} \pi r^{3}[/tex]
radius-2.1
plug in:[tex]\frac{4}{3} (2.1)^{3}[/tex] =38.7923860865
[tex]\frac{38.7923860865}{2}[/tex] =19.3961930433
=19.4²
7 1/2 divided by 3/4 =?
Answer:
7 1/2 divided by 3/4 is 10
Step-by-step explanation:
10
Brainiest please and thank you
Write the equation of the line that has a slope of -3/2 and passes through (4, -3)
Answer:
y = -3/2x + 3
Step-by-step explanation:
y = -3/2x + b
-3 = -3/2(4) + b
-3 = -6 + b
3 = b
Kanisha shoots a basket every 7 seconds. Thomas shoots a basket every 12 seconds. They begin at the same time. How many seconds will have passed when they next shoot a basket at the same time?
Answer:
84 seconds
Step-by-step explanation:
7 12
14 24
21 36
28 48
35 60
42 72
49 84
56
63
70
78
84
will name the brainliest!!
Answer:
c = 29
Step-by-step explanation:
Since the opposite side of the given angle 41, is given and the hypotenuse has to be found out, we will use the Sin ratio
Sin(41) = [tex]\frac{19}{c}[/tex]
=> To isolate the c all by itself first multiply c on both sides of "="
Sin(41) * c = 19
=> Now divide each side by Sin(41)
c = [tex]\frac{19}{Sin(41)}[/tex]
c = 28.96 or 29
Hope this helps!
Help me please I need it
Step-by-step explanation:
see the photo for explanation
Answer:
We are finding hypotenuse
3^2 + 2.5^2
9 + 6.25 = 15.25
3.9^2 = 15.21 close enough.
3.9 would be your answer.
When finding the hypotenuse, we square the two given lengths add them up and then that number you get from adding them up, there should be a number that will be squared that will equal that number that you added up.
help pls ! just answer this and that’s it. tysm if you do
Answer:
-4.5
Step-by-step explanation:
so i personally think that the answer is -4.5.
my reason is that since point A is -7.7, and point C is 0, it has to be close to point A. since a negative that has a smaller number (ex: -3 > -8) is worth more than a negative with a bigger number, the answer can't be -9.2 or -8. now we're left with -4.5 and -1.3. Since -1.3 would be a closer point to 0, and B is pretty far from C, -4.5 is the most reasonable answer.
hope this helps !
A bag of marbles contains 4 red marbles and 4 green marbles. Each red marble was labeled with a different number, 1 through 4, and each green marble was labeled with a different number, 1 through 4. Which set represents the event, A, that Karen took a marble that was either green or had an even number?
Answer:
I think is b
Step-by-step explanation: