Answer:
6 over 16 square foot
Step-by-step explanation:
Find the 11th term in the geometric sequence: 4, 6, 9,....
Answer:
69
Step-by-step explanation:
let the first term be n
second term = 2 + n
third term = 3 + second term so we can conclude that the other term will be:
forth term = 4 + third term
fifth term = 5 + forth term etc.
eleventh term will be 11 + 10 term
based on observations the tenth term is 58 so
eleventh term= 11 + 58
= 69
Consider the following pair of equations:
y = −2x + 8
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(3,2)
Step-by-step explanation:
y = -2x + 8
y = x-1
Substitute x-1 for y in the equation y = -2x + 8. x-1 = -2x + 8
Use the Additive Property to move the
constant terms to one side of the equation. x-1 = -2x + 8
+1 +1
x = -2x + 9
Now do the same to the variable terms. +2x +2x
3x = 9
Divide both sides of the equation by the
constant in the variable term. ÷3 = ÷3
x = 3
To find y, simply substitute the value of x into
one of the original equations. y = x-1
y = 3-1
Solve: y = 2
The solution is (3, 2).
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
Answer:
11.6m
Step-by-step explanation:
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
We solve the above question using the Trigonometric function of Sine.
sin θ = Opposite/ Hypotenuse
Hypotenuse = Length of the ladder = 13.5m
Opposite = d
θ = 59° 22'
= 59° + 22/60
= 59° + 0.367
= 59.367°
Hence,
sin 59.367 = d/13.5m
d = sin 59.367 × 13.5m
d = 11.616057416m
Approximately = 11.6m
Therefore, the distance d the ladder goes up the wall is 11.6m
Find f(-5) if f(n) = n^3 + 3n^2
There is a bag filled with 2 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer:
Question:
A bag with 2 blue (B), 4 red (R) and 5 green (G) marbles (total 11 marbles).
Two are drawn at random without replacement.
Find probability of getting two marbles of same colour.
Solution:
We can get either 2B, 2R or 2G as successful outcomes.
To get two blue marbles (2B),
probability of the first one being blue = P(B)=2/11
probability of the second blue marble = P(-B)=1/10 (one left out of 10 left)
Probability that both are blue (use multiplication rule)
P(2B)=(2/11)(1/10)=2/110
Similarly, for two red marbles
P(2R)=(4/11)(3/10)=12/110
and for two green marbles
P(2G)=(5/11)(4/10)=20/110
Since all three events 2B, 2R and 2G are mutually exclusive, the probability
that any one can happen is the sum of the individual probabilities, thus
probability of getting two marbles of the same colour (without replacement)
=P(2B)+P(2R)+P(2G)
=2/110 + 12/110 + 20/110
=34/110
= 17/55
Step-by-step explanation:
4/11
hope this helps
10. Multiply the following numbers using scientific notation. show the steps. (See Ex. 5)
(2 x 103)(3 x 104).
11. Divide the following numbers using scientific notation. Show the steps as they are done in the lesson. (See Ex. 6)
-42 x 102
14 x 103
Answer:
10) 6 × 10⁷
11) -3 × 10⁻¹
Step-by-step explanation:
Assuming that (2 x 103)(3 x 104) =
(2 × 10³)(3 × 10⁴) =
(2 × 10³) × (3 × 10⁴)
And the division of
(-42 x 102) and (14 x 103) =
(-4.2 × 10²) ÷ (1.4 × 10³)
__________________
It is hard to know without an image, assumptions can vary.
I took a picture of the problem.
Answer:
0.25
Step-by-step explanation:
In the 52-card pack, 13 cards are diamond cards. Thus, the probability of drawing a diamond card is 13/52, or 0.25.
Find the volume of the
cake if the radius is 8
inches and the height is 5
inches.
Answer:
251.327412 cubic inches is the answer
winston works 40 hours a week as a pharmacist. if he made 75,400 last year, how much was he paid per hour?
Answer:
If I'm calculating correctly, it might be $36.15. Or, if you're rounding, $36.2.
Step-by-step explanation:
There are about 52.14 weeks in a year. If you multiply 40 by 52.14 you get 2085.6. Then you divide 75,400 by 2085.6 and that's how I got my answer. If I'm wrong, someone feel free to correct me.
Answer:
$36.25
Step-by-step explanation:
Ape.x
NEED HELP ASAP
If the side lengths of a cube are 15 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
15 ⋅ 15 ⋅ 15
15 ⋅ 3
3^15
15^3
pls help! will mark brainliest if correct!
Answer:
a. y=4x-5
Step-by-step explanation:
help please :,)
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
Α.Rx) = (x + 6)(x-4)
B. Rx) = (x + 6)(x+4)
C.f(x) = (x - 6)(x + 4)
D.f(x) = (x-6)(x - 4)
Answer:
I think the answer is c
Step-by-step explanation: hope i was a help
ABCD is a parallelogram. If mZCDA = 81, then
mZDAB = ? _. The diagram is not to scale.
Answer:
∠DAB = 99°
Step-by-step explanation:
Given:
ABCD is PARALLELOGRAM
∠CDA = 81°
Find:
∠DAB
Computation:
ABCD is PARALLELOGRAM
So,
∠CDA + ∠DAB = 180°
81° + ∠DAB = 180°
∠DAB = 99°
find the value of given expression
[tex] \sqrt{31 \times 31} [/tex]
Answer:
31 is the answers for the question
Step-by-step explanation:
please give me brainlest
Answer:
[tex]\sqrt{31\times31}[/tex]
Multiply 31 × 31= 961
[tex]961=31^2[/tex]
[tex]=\sqrt{31^2}[/tex]
[tex]=31[/tex]
OAmalOHopeO
The clock below shows the time ( 9:00 ) that Candace leaves for a bicycle ride. She rides for 1/2 hour.
Through how many degrees does the minute hand turn while Candace is on her ride?
find the equation that represents the proportional relationship between in this graph
Answer:
y = 7/8x
Step-by-step explanation:
...................
1. Which of the following moving at the same speed, wouldbe hardest to stop?*
(12 points)
car
bus
Frisbee
stroller
Answer:
Bus
Step-by-step explanation:
If the bus has the most weight than the force it would edmit would be greater than any other
Jarod took a survey of the number of 6th grade students that played sports. Twenty students played tennis, eighty students played football, fifteen students played volleyball and ten students played golf? What percent of the students played volleyball or golf?
Answer:
8% played golf and 12% played volleyball
Step-by-step explanation:
add the total number of. student, 125, then write as fraction, 10/125 and 15/125, then convert to percentage
A factory produces 80,000 candies each day.They produce equal quantity of four flavors:cherry,lemon,orange and strawberry. The candies are mix together during packaging. What is the probability of selecting orange.
Answer:
1 /4
Step-by-step explanation:
Total number of candies produced per day = 80,000
Number of flavors made = 4
Since the number of each flavor produced are equal ;
Number of each flavor produced :
80000 /4 = 20000
Probability of selecting orange flavor :
Number of orange flavor / total candies produced
= 20000 / 80000
= 1/4
Sue has $74,210 in a savings account. The interest rate is 15% per year and is not compounded. How much will she have in 2 years? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$22,263
Step-by-step explanation:
15% of $74,210 is $11,131.50 so $11,131.50 X 2= $22,263
so after 2 years the total amount of money along with interest will be a total of = $96,473
Please help ! (Pls DONT send a link)
Answer:
33
because every other number is a multiple of five, but not 33
Step-by-step explanation:
Find the radius of Circle G Below. Round your answer to the nearest hundredth.
Answer:.
Step-by-step explanation
first thing is you are going to have to add
joe then nuts, then boom. You have your answer
I NEED YOUR OPINION PLEASE
okay , so I am 13 years old . I had gotten my cartilage pierced on both ears for my 13th birthday. Fast foward, I had asked my mom if I could get another cartilage piercing and my tragus pierced . She told me to ask my father. I did not . So I had pierced my tragus and my cartilage on my ear .. And my mom nor my dad has no clue I done it .
I just feel guilty hiding it from them , more so my mom ..
Can anyone give me advice on how to tell them PLEASEEEEEEEEEE
You're gonna get caught anyways, just come out. If you don't, figure out a way to undo it.
Can someone please help?
Answer:
JUST USE THE CALCULATOR DUHHH!!!
Is 1/10 closer to 0 or 1/2 ?
Answer:
its much closer to 0
Step-by-step explanation:
1/2 is more 5/10 and 0 is 0/10
0 is one away from one and 5 is 4 away
Simplify 8x^3y^6/2xy^2
Answer:
4x^4y^8
Step-by-step explanation:
Find the volume of a hemisphere : diameter = 20 m
Round to the nearest tenth.. Single choice.
2093.3 cubic meters
4186.66 cubic meters
4186.7 cubic meters
2093.33 cubic meters
Answer:
40
4186.66
Step-by-step explanation:
Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded.Then,an event is described as:the sum of the two up faces are recorded. Describe the random variable, X, in this event.Writethe sample space of this event. Calculatethe probability of rolling a 4, and probability of rolling a 12.
Answer:
1.The random variable X can take any value from( 2,- ----,12) in the event of the sample space.
2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]
3. The probability of getting a 4 = 1/12
4. The probability of getting a 12 = 1/36
Step-by-step explanation:
There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .
The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]
The random variable X can take any value from( 2,- ----,12) in the event of the sample space.
The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]
that is it has all the possible outcomes of both the dice.
The probability of getting a 4= Number of fav outcome/ no of possible outcomes= 3/ 36= 1/12
The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36
Help please I will give you the brainliest
Answer:
well option D will be your answer
Step-by-step explanation:
hope it helps you
have a great day
The population of Dawn land is changing exponentially. This change is modeled by the function f(x) = 60,000(1.01)x . Interpret the function to describe how the population changes. Explain how you know.
Answer:
The function has an initial population size of 60,000 which increase at a rate of 1%
Step-by-step explanation:
Given the expression :
f(x) = 60,000(1.01)^x
Since 1.01 > 1 (exponential
The general form of an Exponential growth function.
y = p(1 + r)^x
p = 60000 = initial population
1 + r = 1.01 ; where r = growth rate
r = 1.01 - 1 ; r = 0.01 =
r = 0.01 * 100% = 1% growth rate