Answer:
the object will fall 792 feet in 17 seconds
Step-by-step explanation:
first you can do 144 multiplied by 5 because that would be 15 of those seconds next you would do 144 divided by 2 because you only need 2 seconds to reach 17 your answer would be 72 then you would do 720+72=792 so it would fall 792ft in 17 seconds
Step-by-step explanation:
Assuming the Height is denoted by "h" and the time by "t" , h=kt² since h varies as t².
When h=144ft , t=3
k=h/t²
k=144/3²
k= 16
This implies that h=16t² is the relation to be used.
Therefore when t= 17s, h=16*17²
h=4624ft
n a typical 2-pound bag of M&Ms contains 500 individual pieces, of which... 120 are blue, 70 are brown, 80 are green, 100 are orange, 60 are red, and 70 are yellow. If I randomly select one M&M candy from the bag, what is the probability that candy will be red?
Answer:
60/500 or 3/25
Step-by-step explanation:
No links please and make sure its correct.
Answer:
it is B
Step-by-step explanation:
he is putting in by the 3/5
Answer:
C.
Step-by-step explanation:
Why its C...
You can tell that on the top it say that the total is 15 so it can not be a. So now our answer choices are B, C, ad D.
Now it says that there are 3/5 highlighted but since the rest say 3/5 we can not eliminate yet.
Next we would multiply 3 x 3 to get 9 for how many dollars there are. Cross out B.
Between C and D, C is the most reasonable answer because it says how much did he put in the bank while the other one (D) says how much did he spend?
So it would be C
Hope this helps :)
A cleaning company's monthly earnings depend on the
number of houses cleaned, h. Spotless Homes charges
$150 each month to clean one house.
The owners of Spotless Homes plan to raise their fees
starting next month. They will charge $175 each month to
clean each house. The owners write this new equation to
represent the new earnings, e, for cleaning h houses:
e = 150 + 25h
Is their equation correct? Why or Why not? Explain your
reasoning
Answer:
The equation is not correct because the statement indicates that they charged $150 to clean one house which means that the equation showed that the earnings were the result of multiplying the price to clean one house for the number of houses cleaned, which is:
e=150h
As the statement indicates that they plan to raise their fees and they will charge $175 to clean each house, this means that the price changes from 150 to 175 and you have to replace this in the formula and because of this the new equation would be:
e=175h
The equation the owners wrote is not right because it shows that the earnings are equal to a fixed charge of $150 plus a price of $25 for the number of houses and the statement says that the price is $175 for each house so the number of houses cleaned should be multiplied for that price.
A pack of 4 rolls of Charmin cost $3.64. A pack of 32 rolls of Charmin cost $20.80. How much cheaper per roll is it to purchase the bigger pack?
Answer:
.26 cents cheaper a roll
Step-by-step explanation:
to find this you would do 3.64/4 to get the price a roll which is .91
and then you would do 20.80/32 to get the price per roll which is .65
then to get the difference you would do .91-.65 to get .26
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent EPA report notes that 70% of the island residents of Puerto Rico hae reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from San Juan, Puerto Rico, find the probability of each of the following events.a. All five qualify for the favorable rateb. At least four qualify for the favorable rates
Answer:
a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates
Step-by-step explanation:
For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.
This means that [tex]p = 0.7[/tex]
Five residential subscribers are randomly selected from San Juan, Puerto Rico
This means that [tex]n = 5[/tex]
a. All five qualify for the favorable rate
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. At least four qualify for the favorable rates
This is
[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283[/tex]
0.5283 = 52.83% probability that at least four qualify for the favorable rates
find the time required for an investment of $3000 to grow to $8000 at an interest rate of 7.5% per year, compounded quarterly ( round the answer to two decimal places)
Answer:
13.20 yearsStep-by-step explanation:
Investment P = $3000Final amount F = $8000Interest rate r = 7.5% = 0.075Compound number n = 4Time t = ?Formula:
F = P(1 + r/4)^(4t)Solve for t:
8000 = 3000(1 + 0.075/4)^(4t)8/3 = 1.01875^(4t)4t log 1.01875 = log (8/3)4t = 0.42596 / 0.008067t = 1/4(52.80)t = 13.20-3(4x - 2) = 42
A x=3
B x=-3
C x=3.67
D x=7
Answer:
B) x=-3
Step-by-step explanation:
-3(4x-2)=42
4x-2=42/-3
4x-2=-14
4x=-14+2
4x=-12
x=-12/4
x=-3
A spinner has 3 equal sections that are purple, green, and blue. What is the probability of not landing on blue?
Answer:
P(not landing on blue section)=2/3
Step-by-step explanation:
Not landing on blue section = landing on one of the other sections
the remaining sections are 2 each one has a P=1/3
2 × 1/3 = 2/3
Answer:
66%
Step-by-step explanation:
2 divided by 3= 0.666666666 which is then converted to percent (66%)
Help please asap !!!
9514 1404 393
Answer:
v(t) = $342,000×1.06^tv(8) = $545,096v(15) = $819,623Step-by-step explanation:
When the growth (or decay) amount is a fraction or percentage of the current amount, an exponential model is indicated. Here, it will be of the form ...
value = (initial value) × (1 + (growth rate))^t
where t is the time period corresponding to the growth rate.
We are given that the initial value is $342,000 and the growth rate is 6% in a year. So, the model can be ...
value = 342,000×1.06^t . . . . . where t is years after 2017
__
In 2025, we are 8 years after 2017, so the value is predicted to be ...
value = $342,000×1.06^8 ≈ $545,096 . . . in 2025
__
In 2032, we are 15 years after 2017, so the value is predicted to be ...
value = $342,000×1.06^15 ≈ $819,623 . . . in 2032
I WILL GIVE BRAINLIEST!! PLEASE HURRY
Use the excerpt below taken from the Preamble of the United States Constitution to answer the following question:
"We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America."
—Public Domain
What aspect of Enlightenment influence on the early United States government does this excerpt of the U.S. Constitution illustrate? (5 points)
It gives power to the people rather than God, the Church, or the king.
It rejects the concept of social class in the American system.
It promotes the popular concept of the freedom of speech.
It encourages the development of the separation of church and state.
Answer:
B. It rejects the concept of social class in the American system.
Explanation:
The Enlightenment of the American Colonies was a period in time where the people were encouraged to become their own nation. This period was represented by many speeches and pieces of writing that boasted freedom of speech, equality, freedom of the press, and religious tolerance.
This specific piece of writing focuses on the aspect of all people in the nation of America having protected freedoms and rights to become their own people.
Hana is putting in a tile floor she needs to determine the angles that should be cut in the tires to fit in the corner that angle in the corner measures 90° one piece of the tire will have a measure of 38 degrees write an equation and use it to determine the measure of the unknown angle
Answer:
x = 52°
Step-by-step explanation:
I have attached an image to depict the given angles.
From the attached image, we can see that the unknown angle is x°.
Thus, since that corner is 90°, then;
x + 38 = 90
Subtract 38 from both sides to get;
x = 90 - 38
x = 52°
Stuck on this question need help
Answer:
YES
Step-by-step explanation:
Area: πx r^2
πx2^2
3.14x4
=12.56
so the answear is yes
help me plz branniest to whoever is right
Answer:
x= -7, x=8
Step-by-step explanation:
factoring method..
f (x) = - x² + 12x - 20
= - x² + 10x + 2x - 20
= - x( x - 10 ) + 2( x - 10 )
= ( x - 10 ) ( -x + 2 )
=> x = 10, x = 2
A flying squirrel's nest is 12 feet high in a tree. From its nest, the flying squirrel glides 13 feet to reach an acorn
that is on the ground. How far is the acorn from the base of the tree? Draw a picture and show your work.
Answer: the answer should be 5
if you draw a right triangle 12 would be the line that goes up (A) and 13 would be the slanted line (C) so that leaves the bottom line to be C.
hope this helps!
Step-by-step explanation:
[tex]A^{2} +B^{2} =C^{2} \\12^{2} +B^{2} =13^{2} \\144+B^{2} =169\\-144 -144\\\sqrt{B^{2} } =\sqrt{25} \\ B=5[/tex]
Find the area of of a regular octagon with side length 20 cm.
A=2(1+[tex]\sqrt{2}[/tex])a^2=2·(1+[tex]\sqrt{2}[/tex])·20^2≈1931.37085cm²
Please help anyone please
Answer:
A=(-5,-4)
B=(-5,-1)
C=(-2,-1)
Step-by-step explanation:
Karim began his day by drinking 1 1/8
cups of milk at breakfast. By the end of the day, he drank a total of 2 2/3
cups of milk.
Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?
Answer:
A. 1⅛ + m = 2⅔
[tex] m = 1\frac{13}{24} [/tex]
Step-by-step explanation:
Cups of milk at breakfast = 1⅛
Cups of milk after breakfast = m
Total cups of milk by the end of the day = 2⅔
Thus:
Total cups of milk by the end of the day = cups of milk at breakfast + cups of drink after breakfast
Therefore:
1⅛ + m = 2⅔ (equation)
Solve for m
Subtract 1⅛ from each side
m = 2⅔ - 1⅛
Convert to improper fraction
m = 8/3 - 9/8
m = (64 - 27)/24 = 37/24
[tex] m = 1\frac{13}{24} [/tex]
Solve the equation. 7x = 3x^2 - 1
Answer:
Step-by-step explanation:
Answer:
If you still need help search up Mathaway it gives u the answer to all your problems and it gives a step by step explination
Step-by-step explanation:
Subtract
3
x
2
from both sides of the equation.
7
x
−
3
x
2
=
−
1
Add
1
to both sides of the equation.
7
x
−
3
x
2
+
1
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
−
3
,
b
=
7
, and
c
=
1
into the quadratic formula and solve for
x
.
−
7
±
√
7
2
−
4
⋅
(
−
3
⋅
1
)
2
⋅
−
3
Simplify.
Tap for more steps...
x
=
7
±
√
61
6
The final answer is the combination of both solutions.
x
=
7
+
√
61
6
,
7
−
√
61
6
The result can be shown in multiple forms.
Exact Form:
x
=
7
+
√
61
6
,
7
−
√
61
6
Decimal Form:
x
=
2.46837494
…
,
−
0.13504161
…
Given that triangle ABC has angle ABC = 90 degrees, AB = 6 cm and BC = 9 cm. Calculate the length of AC in cm to 1 decimal place
Answer:
AC = 6.7
Step-by-step explanation:
If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.
9^2 = 6^2 + b^2
81 = 36 + b^2
81-36 = b^2
45 = b^2
6.7 = b
so AC = 6.7
which value from the set makes 12n-15=42 true?
A.2.25
B.2.8
C.3.5
D.4.75
Which of the following best classifies a quadrilateral with coordinates A(7,0), B(3, 1), C(4,7), and D(8, 6)?
A.Rectangle
B.Parallelogram
C.Trapezoid
D.Square
Answer:
B. Parallelogram
Step-by-step explanation:
The opposite sides of the quadrilateral are equal and so the quadrilateral is a rectangle, the correct option is A.
What is a Quadrilateral?A quadrilateral is a polygon with four sides.
The coordinates of a quadrilateral are:
A(7,0), B(3, 1), C(4,7), and D(8, 6)
The distance between the coordinates has to be determined to identify the type of quadrilateral
The distance formula is
[tex]\rm D = \sqrt { ( x- x_1)^2 + (y-y_1)^2}[/tex]
[tex]\rm AB = \sqrt { (3-7)^2 + (1-0)^2}\\AB = \sqrt { 17}[/tex]
[tex]\rm BC = \sqrt { ( 1)^2 + (6)^2}\\BC = \sqrt {37}[/tex]
Similarly,
[tex]\rm CD= \sqrt { 17}\\\\AD = \sqrt{37}[/tex]
The opposite sides of the quadrilateral are equal and so it is a rectangle.
To know more about Quadrilateral
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-13 > x -43 solve the inequality and enter your solution as inequality comparing the variable to the solution
Answer:
30 > x
Step-by-step explanation:
-13 > x-43
-13 + 43 > x -43 + 43
30 > x
??????????????????????
Answer:
A = 254.34
Step-by-step explanation:
Area of a circle formula:
A = πr²
r = d/2 = 9
A = 3.14(9²)
A = 3.14(81)
A = 254.34
Answer:
254.34
Step-by-step explanation:
Good luck!
There are how many halves in 2 1/2
Answer:
there are 5 halves in 2 1/2
Answer:
5
Step-by-step explanation:
1/2 +1/2 = 1
can somebody help me with math I have 3 more questions OWO:
If Jeff drives 200 miles per hour in his race car, and this relationship is graphed, which ordered pair would not be on the graph?
1. (2, 400)
2. (0, 0)
3. (8, 1,600)
4. (5, 1,200)
please don’t steal all my points UwU :( :’)
The ordered pair would not be on the graph is (5, 1200)
The correct option is (4).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
If Jeff drives 200 miles per hour in his race car.
So, if we denote the distance by y and time by x then relation is
y = 200x
For x = 0
y=0
and, x= 2
y= 400
and, x= 8
y= 1600
and, x= 5
y = 1000
Hence, the point not on the graph is (5, 1200)
Learn more about Equation here:
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Work out m and c for the line:
y = x + 6
Step-by-step explanation:
Given equation
y = x + 6
Comparing the given equation with y = mx + c so
slope (m) = 1
y-intercept (c) = 6
Hope it will help :)❤
What do u think 2+2 is can u tell me ?
Answer:
the answer is 4 your welcome
Answer: bro its 22. It's ez math. 2 + 2 = 22
Step-by-step explanation:
You just combine the numbers piece of ice cream It's actually peace of cake but I like ice cream more sooo yuh)
Question 8 of 11
A triangle has two sides of length 10 and 10. What value could the length of
the third side be? Check all that apply.
A. 5
B. 3
O C. 11
O D. 19
E. 21
O F. 25
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track,
24 people use the gym and the track.
9 people use all three facilities,
Given that a randomly selected person uses at least two facilities, what is the probability they
use all the facilities?
Answer:
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3
A submarine was 20 feet below sea level. If it ascends (goes up) 30 feet,
what is its new position?
50 feet above sea level
O 10 feet below sea level
O 50 feet below sea level
O 10 feet above sea level
Answer:
10 ft above sea level
Step-by-step explanation:
20 below goes up by 30 then it would be -20 -10 0 10