You launch a model rocket that has a mass of 1 kg. At a height of 500 m, it is
traveling at 120 m/s. What is its kinetic energy at this point?
A. 7,200 J
B. 60 J
C. 14,400 J
D. 29 J
This is for apex i need help asap
Which point is on the line that passes through point Z and is perpendicular to line AB? (–4, 1) (1, –2 ) (2, 0) (4, 4)
Answer:
the answer is (-4,1)
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
Suppose there is a 27.4% probability that a randomly selected person aged 40 years or older is a jogger. In addition, there is a 29.3% probability that a randomly selected person age 40 years or older is male, given that he or she jogs.
Required:
a. What is the probability that a randomly selected person age 40 years or older is male and jogs?
b. Would it be unusual to randomly select a person aged 40 years or older who is male and jogs?
Answer:
a
[tex]P(M \ n \ J ) = 0.0802 [/tex]
b
Yes
Step-by-step explanation:
From the question we are told that
The probability that a random selected person of age 40 years or older is a jogger is [tex]P(J) = 0.274[/tex]
The probability that a random selected person of age 40 years or older is a male given that he/she jogs is [tex]P(M |J) = 0.293[/tex]
Generally the probability that a randomly selected person age 40 years or older is male and jogs
[tex]P(M \ n \ J ) = P(M|J) * P(J)[/tex]
[tex]P(M \ n \ J ) = 0.293 * 0.274 [/tex]
[tex]P(M \ n \ J ) = 0.0802 [/tex]
Generally it would be unusual because the probability that a randomly selected person age 40 years or older is male and jogs is greater than 0.05[border line for statistical significance]
Use the Slope Formula to find the slope of the line with points (1,-4) and (-3,3)
Answer:
-7/4
Step-by-step explanation:
Since we have two points we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 3 - -4)/( -3 -1)
( 3+4) / ( -3 -1)
7/-4
-7/4
A can of fruit contains 411 grams. One gram is approximately 0.035 ounces. About how many ounces does the can contain?
Answer:
14.385 ounces
Step-by-step explanation:
Converting grams to ounces:
1g ----- 0.035 ounces
411g ----- ?
Since we multiply 411 to the left hand side, multiply the left hand side by 411 too.
411g
= 0.035(411) ounces
= 14.385 ounces
Thus, the can contains 14.385 ounces of fruit.
how can you work with anybody annoying you white your working at home on a test?
A recipe uses 5 cups of flour for every 2 cups of sugar.
How much flour is used for 1 cup of sugar
Answer:
2.5
Step-by-step explanation:
If the ratio is 5:2, then you just have to divide 5 / 2.
5 / 2 = 2.5
Answer:
If 5 cups of flour= 2 cups of sugar
1 cup=1×2/5
=2/5
Step-by-step explanation:
Can someone help ? Thankssss
Answer:
im not sure but I think is c
Solve the following system of equations using substitution or elimination. 4x-2y+3z=1
x+3y-4z=-7
3x+y+2z=5
PLEASE HELP !!!
[1] 4x - 2y + 3z = 1
[2] x + 3y - 4z = -7
[3] 3x + y + 2z = 5
Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :
-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1
-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1
[4] -14y + 19z = 29
-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5
-3x - 9y + 12z + 3x + y + 2z = 21 + 5
-8y + 14z = 26
[5] -4y + 7z = 13
Add 2 [4] to -7 [5] to eliminate y :
2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)
-28y + 38z + 28y - 49z = 58 - 91
-11z = -33
z = 3
Plug this into either [4] or [5] to solve for y :
-4y + 7 (3) = 13
-4y + 21 = 13
-4y = -8
y = 2
Plug both of these solutions into either of [1], [2], or [3] to solve for x :
x + 3 (2) - 4 (3) = -7
x + 6 - 12 = -7
x = -1
The greatest comen factor of 21, 30,49
If ΔABC ≅ ΔEDF where the coordinates of A(−1, 1), B(2, 4), and C(3, 1), what is the measure of EF?
3
3.2
4
4.6
Answer:
4 is the correct answer.
Step-by-step explanation:
If you're taking FLVS math then this is the right answer, I got it correct on my test.
The required measure of EF is 4. Option c is correct.
ΔABC ≅ ΔEDF
A(−1, 1), B(2, 4), and C(3, 1).
In congruent geometry, the shapes that are so identical. Can be coincide to themselves.
Here,
ΔABC ≅ ΔEDF
SO, AC = EF
EF = [tex]\sqrt{(3+1)^2+(1-1)^2 }[/tex]
EF = 4
Thus, the required measure of EF is 4.
Learn more about congruent geometry here. https://brainly.com/question/12413243
#SPJ2
long division help :)
I’m confused
Answer:
the answer is 27
i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0
this is my statement and i did this on paper and got this right!
Answer:
27
Step-by-step explanation:
See photo below
Please include an explanation.
"a" varies directly as the square of "b" and inversely as the cube of "c". If a=171 when b=8 and c=9, find a if b=9 and c=6. Round your answer to two decimal places if necessary.
Answer:
a = 730.43
Step-by-step explanation:
The formula for this type of problem is [ a = kb²/c³ ].
We are given a = 171, b = 8 and c = 9.
Solve for k.
171 = k(8)²/(9)³
k = 1947.80
Solve for a since we found k using b = 9 and c = 6.
a = (1947.80)(9)²/6³
a = 730.425
Round to the nearest hundredth.
730.425 → 730.43
Best of Luck!
Answer:
730.42
Step-by-step explanation:
a varies directly with the square of b, and inversely with the cube of c. Therefore:
a = k b² / c³
where k is the constant of proportionality.
a = 171 when b = 8 and c = 9. So the value of k is:
171 = k (8)² / (9)³
k ≈ 1947.8
So the value of a when b = 9 and c = 6 is:
a = 1947.8 (9)² / (6)³
a ≈ 730.42
9 - 5k = 12 - (6k + 7)
help
Answer:
k = 10
Step-by-step explanation:
9 - 5k = 12 - (6k + 7)
open the parenthesis
9 - 5k = 12 - 6k - 7
add 6k to both sides of the equation
9 - 5k + 6k = 12 - 6k - 7 + 6k
combine like terms
9 + k = 19
subtract 9 from both sides of the equation
9 + k - 9 = 19 - 9
k = 10
Divide. Round your answer to the nearest whole number.
5,481 - 0.605
Answer:
Step-by-step explanation:
It matters what the order is when you do the rounding.
5481 = 5500
0.605 = 1
The rounded answer is 5500 / 1 = 5500
However if you do the question and then round you get a much closer answer.
5481 ÷ 0.605 = 10712
Evaluate 4m+23+n/p−3, when m=7, n=2, and p=8.
Answer:
48 1/4
Step-by-step explanation:
plug in the values of m,n,p
4*7+23+2/8-3
= 28+23+1/4-3
= 28+23-3+1/4
= 28+20+1/4
= 48 1/4
If you spend 540 minutes per year waiting in lines, how many hours is this?
Answer:
540 minutes in hours =540/60
=9 hours
The time 540 minutes in hours will be 9 hours.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the time is 540 minutes. The value of time in hours will be calculated as,
The time of 60 minutes is equal to 1 hour. So divide the time 540 minutes by 60 minutes.
Time = 540 / 60
Time = 9 hours
To know more about an expression follow
https://brainly.com/question/12053230
#SPJ2
Evaluate the distance from -4 to 8.
Answer:
12
Step-by-step explanation:
-4 + 4 = 0
0 + 8 = 8
4 + 8 = 12
6.333 x 10^2
HHHEEEEELLLLLLLPPPPP!
Answer:
See Below
Step-by-step explanation:
6.333 x 10^2
10^2 = 100
since there is 2 zeros, move the decimal to the right twice.
633.3
Is 2|12 true or false
Answer:
true
Step-by-step explanation:
Because it is
2. What is the quotient if you divide 15 1/3 by 18/23
What is the equation of this line? (shown in picture)
A. Y = -1/4x
B. Y = 4x
C. Y = -4x
D. Y = 1/4x
The answer is B. Hope this helped.
There are 150 people in a school dance. The ratio of adult to students is 2: 3. How
many adults are in the dance ?
Answer:
60 adults
Step-by-step explanation:
There are 60 adults in the dance because as we have 150 people and the ratio of adults to students is 2:3, we need to add 2+3=5. Now we have 5 parts, so 150÷5=30. This means that there are 30 people per part, and as adults hold 2 parts of it, 30 x 2=60. So, there are 60 adults in the dance. Hope it helps!
Haley walked a total of 6 kilometers by making 2 trips to school. How many trips will Haley
have to make in all to walk a total of 18 kilometers? Solve using unit rates.
Answer: 6 trips
Step-by-step explanation:
The cost of a pair of shoes was reduced from $60 to $45.
By what percent did the cost of the pair of shoes decrease?
A 2.5%
B 25%
C 30%
D 35%
Answer:
B. 25%
Step-by-step explanation:
25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.
The percentage is the ratio of change with respect to the original thus cost of a pair of shoes has been reduced by 25% thus option (B) will be correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The initial cost of a pair of shoes = $60
Final cost of a pair of shoes = $45
Change in cost = 60 - 45 = 15
The percentage change = change / initial value
Percentage = 15/60
⇒ 0.25 × 100 = 25%
Hence "The cost of a pair of shoes has been reduced by 25%".
For more about the percentage,
brainly.com/question/13450942
#SPJ5
A grocery store sells a bag of 5 oranges for $3.00. What is the cost of oranges, in dollars per orange? On the double number line below, fill in the given values, then use multiplication or division to find the missing value
Answer:
0.6
Step-by-step explanation:
5:3
x:1
3x=5
x=0.6
Hello, if someone can help me with this question that would be great!
Answer:
y = -5x+0
or y = -5
because the gradient is -5 and the y intercept is 0
Solve 6y + 2x = 14 for x.
PLEASE HELP
Logan bought a baseball bat on a trip. The baseball bat is 29 inches long.
Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
Answer:
Use a^2 + b^2 = c^2 and substitute
18^2 + 24^2 = c^2
Solve what we know
324 + 576 = c^2
324 + 576 = 900
Square root 900 to get C
sqrt of 900 equals 30
So, yes he can fit the baseball bat in his suitcase
Is <1 and <7 supplementary