Answer:
6644.7 cubic meters
Step-by-step explanation:
[tex]\text {Fomula for volume of a cube: } V=s^3\\s-\text {Side Measure}[/tex]
The side measure is 18.8m.
[tex]V=18.8^3\\V= 18.8*18.8*18.8\\\boxed{V=6644.672}[/tex]
6644.672 ≈ 6644.7
The volume of the cube should be 6644.7 cubic meters.
Brainilest Appreciated.
How to add or subtract this polynomial
Answer:
18x^2 + 9x - 5
Step-by-step explanation:
Combine like terms:
(9x^2-8) + (9x^2+9x+3)
= 9x^2 + 9x^2 + 9x - 8 + 3
= 18x^2 + 9x - 5
David has a bank account which pays interest at the rate of 1.5% per year, compounded annually. Determine what amount David
must have in the bank, given that he would like to draw an annual salary of $32,635.15 from his account at the end of each year
for 30 years. Round to the nearest cent.
Answer: the amount that David must have in the bank is $783243.6
Step-by-step explanation:
We would apply the formula for determining present annuity. It is expressed as
PV = R[1 - (1 + r)^- n]r
Where
PV represents the present value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
r = 1.5/100 = 0.015
n = 30 years
R = $32,635.15
Therefore,
PV = 32635.15[1 - (1 + 0.015)^- 30]/0.015
PV = 32635.15[1 - (1.015)^- 30]/0.015
PV = 32635.15[1 - 0.64]/0.015
PV = 32635.15[0.36]/0.015
PV = 32635.15 × 24
PV = $783243.6
a. $783,760.48
on edgen
Which of the following is an example of a matched pairs design? A. A teacher calculates the average scores of students on a pair of tests and wishes to see if this average is larger than 80%. B. A teacher compares the pre-test and post-test scores of students. C. A teacher compares the scores of students using a computer based method of instruction with scores of other students using a traditional method of instruction. D. A teacher compares the scores of students in her class on a standardized test with the national average score.
Answer:
B. A teacher compares the pre-test and post-test scores of students
Step-by-step explanation:
the answer is true, because it is a good example to compare the tests between students, we know that a matching pair design is a random model and is used when the experiment allows grouping subjects in pairs based on a variable and each pair will receive randomly a different handling, the answer A is not true because in the example all students are uniformly averaged and the variable is not correlated with subgroups, option c is incorrect because the variable was not randomized and generates classification bias and the option d is incorrect because the teacher compares a small sample as her class with a score of a total sample, but does not intervene on her students when selecting the corresponding group
Matched pair design describes an experimental technique whereby subjects having certain variable or characteristic are paired or matched based on that variable, usually called the key variable. Hence, an example of a matched pair design is "a teacher compares the pre-test and post-test scores of students."
In these type of experimental design, the key or common variable pertinent to both matched subjects is of utmost importance. The only option where, the variable shared is common is the pretest and posttest scores. In the other options, comparing traditional and computer based instructions doesn't match ; similarly, standardized score and national average do not match perfectly.Hence, the most appropriate option is A.
Learn more : https://brainly.com/question/19445381
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. (x + 8) (x + 7)
Step-by-step explanation:
To factor this trinomial, you must split the middle term (15x) into two terms that can be added to get 15x, and multiplied to get 56:
[tex]x^2 + 15x + 56[/tex]
[tex]x^2 + 7x + 8x + 56[/tex]
Group:
[tex](x^2 + 7x) (8x + 56)[/tex]
Take out the GCF (Greatest Common Factor):
x(x + 7) 8(x + 7)
(x + 8) (x + 7)
what is 2 in 0.812 as a fraction
Answer:
Step-by-step explanation:
That'd be 0.002, or 2/1000.
The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the
circumference of the circle sprayed by the sprinkler? Use 22 for A.
21 ft
66 ft
120 ft
132 ft
Answer:
d 132
Step-by-step explanation:
Answer:
THE ANSWER IS D
Step-by-step explanation:
A yearbook staff has 30 members. In how many different ways can an editor, photographer, designer, and advisor be selected?
Answer: 657,720
Step-by-step explanation:
If each person can have only one role, we have that:
For the Editor selection we have 30 possible options
for the pothograper we have 29 options, because we already selected one
for the designer we have 28 options
for the advisor we have 27 options
the total number of combinations is the product of the options for each selection;
C = 30*29*28*27 = 657,720
What’s the correct answer for this?
Answer:
B.
Step-by-step explanation:
First angle 1 and 2 add up to 180 and then angle 2 and 3 also add up to 180. So angle 2 is common hence both are congruent to each other.
I need help on this one
Answer:
the fourth answer is prime.
Step-by-step explanation:
in order to break down a 4 term polynomial, create groups of the polynomials. seperate each in 2 group. then, fine the greatest common fastor of each group that are in parenthesis.It was easy to break the first three. the last one however, was hard to break apart because in the second group, you cant find the greatest common factor between -x and 2. So the bottom one is prime
Solve: 3x
+ 4 = 5x - 4x - 8
Answer:
3x = - 18
Step-by-step explanation:
1. Simplify this equation in terms of what is already provided:
3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8
2. Now subtract 3x from either side, at the same time adding 8 to either side: 3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x
3. Divide -2 on either side to isolate the x, and recieve it's value:
12 = -2x ⇒ x = 12/-2 ⇒ x = -6
4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18
What’s the correct answer for this?
Answer:
B is correct
Step-by-step explanation:
Side ratio is 40/25 = 8/5
Answer:
B.
Step-by-step explanation:
Finding scale factor, we find the ratio between twp sides of the dilated triangle corresponding to each other.
Scale Factor = Side of the dilated Δ / Corresponding side of the old triangle
scale factor = 40/25
simplifying
Scale Factor = 8/5
6
An ordinary fair dice is thrown once.
(a) On the probability scale mark with a cross (X) the probability ti
the dice lands on an even number.
1
2
(b) Write down the probability that the dice lands on a number les
than 3.
Answer:
(a) 1/2(b) 1/3Step-by-step explanation:
(a) 3 of the 6 numbers on the die are even, so the probability that one of them will show is 3/6 = 1/2.
__
(b) 2 of the 6 numbers on the die are less than 3, so the probability that one of them will show is 2/6 = 1/3.
GUYS I NEED HELP ASAP
A rectangular playground is 40 feet wide. Find the area of this playground, if the fence around it, including the gates, is 200 feet long.
Answer:
[tex]A=2400ft[/tex]
Step-by-step explanation:
A rectangle is a closed planer quadrilateral with four right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:
[tex]Perimeter=w+h+w+h=2w+2h\\\\Where:\\\\w=Width\\h=Height[/tex]
The ectangular playground is 40 feet wide, so:
[tex]w=40ft[/tex]
Therefore:
[tex]Perimeter=2w+2h\\\\200=2(40)+2h\\\\200=80+2h[/tex]
Solving for h:
[tex]2h=200-80\\\\2h=120\\\\h=\frac{120}{2} \\\\h=60ft[/tex]
The area of a rectangle is equal to the product of two of its contiguous sides, hence:
[tex]A=wh\\\\A=(40)(60)=2400ft[/tex]
I attached you a picture of the rectangle
The Senate in a certain state is comprised of 58 Republicans, 39 Democrats, and 3 Independents. How many committees can be formed if each committee must have 3 Republicans and 2 Democrats?
YuAnswer:
Step-by-step explanation:
I really don't know the answer sorry
A slot machine has 3 dials each dial has 30 positions one of which is jackpot. To win jackpot all three dials must be in jackpot position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot
Answer:
3/90
Step-by-step explanation:
1 slot is 1/30
2 slot is 1/30
3 slot is 1/30
this gives you that 3/90 when you had them
Answer:
D) 1/(30×30×30) = 1/27000 = 0.00003 or 0.003%
Step-by-step explanation:
Select the closest answer. *
20 points
1. Find the surface area of a sphere with a radius of 4.2 centimeters.
A. 235.6 cm?
C. 121.4 cm
B. 310.3 cm
D. 221.7 cm
A
B
С
OD
Select the closest answer.
Answer:
D. 221.7 cm
Step-by-step explanation:
Surface area of a sphere is: [tex]SA=4\pi r^2[/tex]
'r' - radius
We are given the radius of 4.2 centimetres.
[tex]SA=4\pi 4.2^2\\4 * \pi * 4.2^2\\\rightarrow 4.2^2 =17.64\\\text {Using 3.14 for pi: }\\4 * 3.14 *17.64\\12.56*17.64\\\boxed {221.5584}[/tex]
221.5584 ≈ 221.6
The closest answer is Option D, therefore it should be the correct answer.
A seed randomly blows around a complex habitat. It may land on any of three different soil types: a high-quality soil that gives a 0.8 chance of seed survival, a medium-quality soil that gives a 0.3 chance of survival, and a low-quality soil that gives only a 0.1 chance of survival. These three soil types (high, medium, and low) are present in the habitat in proportions of 30:20:50, respectively. The probability that a seed lands on a particular soil type is proportional to the frequency of that type in the habitat.
a. Draw a probability tree to determine the probabilities of survival under all possible circumstances.b. What is the probability of survival of the seed, assuming that it lands?
Answer:
a) Attached.
b) Probabiltiy of survival = 0.35
Step-by-step explanation:
a) The probability tree is attached as a picture.
This is constructed with the two events (landing and survival), with their associated probabilities.
The events are dependant, as the probability of survival depends on the outcome of the first event (the soil where the seed landed).
b) The probability of survival can be calculated as the sum of the probabilities that include the event "survives":
[tex]P(s)=P(H\&s)+P(M\&s)+P(L\&s)\\\\P(s)=P(H)P(s|H)+P(M)P(s|M)+P(L)P(s|L)\\\\P(s)=0.3*0.8+0.2*0.3+0.5*0.1\\\\P(s)=0.24+0.06+0.05\\\\P(s)=0.35[/tex]
The first line adds the three joint events that end with survival (land on high quality soil H and survive S, for example).
The second line splits the probability but the survival is conditioned to the soil where the seed has landed. That is why it is a conditional probability.
Brainliest to whoever gets this CORRECT.
Answer:
yes
Step-by-step explanation:
yes
Johanna wrote the system of equations.
4x-3y=1, 5x+4y=9
If the second equation is multiplied by 4, what should the first equation be multiplied by to eliminate the x-variable by addition?
Answer:
-5
Step-by-step explanation:
If the second equation is multiplied by 4, the coefficient of the x-variable will be 5·4 = 20. To eliminate the x-variable by addition, the first equation needs to be multiplied by a value that will result in an x-coefficient of -20. If that value is k, then we have ...
4k = -20
k = -20/4 = -5
The first equation should be multiplied by -5 to eliminate the x-variable by addition.
_____
Comment on general case
In general, if you have ...
ax +by = c
dx +ey = f
to eliminate the x-variable by addition, you can multiply the second equation by "a" and the first equation by "-d". In the problem above, those numbers are 4 and -5.
Answer:
-5
Step-by-step explanation:
What is the reason that supports the statement made on line 5?
Answer:
V is given to be midpoint of WZ and XY
=> WV = VZ and XV = VY (1)
As opposite angles,
=> WVX = ZVY (2)
From (1) and (2), then
Triangle WXV = Triangle ZYV (SAS)
=> Option SAS is correct.
Hope this helps!
:)
Answer:
SAS
Step-by-step explanation:
Since we know that lengths XV & YV and WV & ZV are equal, angle the angle between these corresponding lengths is also equal (Angle V) we can conclude that the two triangles are congruent by SAS postulate
A father and a son are preparing for a jog on the beach. They both leave from the same lifeguard station and begin running in opposite
directions. The son runs at a speed of 8.1 mph, and the father at 6.3 mph.
How many hours will have elapsed when the father and his son are 20.16 miles apart?
Answer:
1.4 hours have elapsed when the father and his son are 20.16 miles apart
Step-by-step explanation:
The son runs at a speed of 8.1 mph.
The father runs at a speed of 6.3 mph.
They run in opposite directions, so per hour, their distance increases at the rate of 8.1 + 6.3 = 14.4 mph.
How many hours will have elapsed when the father and his son are 20.16 miles apart?
Rule of 3.
1 h - 14.4 miles
x h - 20.16 miles
[tex]14.4x = 20.16[/tex]
[tex]x = \frac{20.16}{14.4}[/tex]
[tex]x = 1.4[/tex]
1.4 hours have elapsed when the father and his son are 20.16 miles apart
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
The GCF of 18 and 30 is
Answer: 6
Step-by-step explanation:
Answer:
The answer is 6, 6 is the GCF
Step-by-step explanation:
6 is the the Greatest Common Factor (GCF) because 6 can go into both numbers 18 and 30 evenly, 6 can multiply with 3 for the product to be 18 and 6 can multiply with 6 for the product to be 30. I hope this help. : )
Will mark brainlist and give extra points bth grade math
Answer:
the answer is d
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
What is the surface area of the triangular prism? 10mm 6mm 16mm 12mm
Answer:it would help of you included a photo because the base is measured differently from the triangles
Step-by-step explanation:
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer: A. (0,a)
[tex]f(x) = a \cdot b^x[/tex]
[tex]f(0) = a \cdot b^0 = a \cdot 1 = a[/tex]
Answer:
I think it's B, but I don't really know how to explain it. Please rate this answer 5 stars if it is correct.
Step-by-step explanation:
Convert kg into dg
1) 0.089kg
2) 0.0659 kg
Answer:
?/????????
Step-by-step explanation:
Answer:
Question 1: 890dg
Question2: 659dg
Step-by-step explanation:
1kg=10000dg
Question 1:
0.089kg=0.089 x 10000=890
0.089kg=890dg
Question 2:
0.0659kg=0.0659 x 10000=659
0.0659kg=659dg
Complete 10 for 5-8 points.
Answer:
$9
Step-by-step explanation:
So say the cost of 1 new release DVD movie is x.
The equation is 52 + 3x = 79
3x = 27
x = 9
What is the speed that a car reaches in m/s, if it travels 956km in 56sec?Help me!! MRU (Uniform Rectilinear Movement)
Answer:
17.07m/s
Step-by-step explanation:
v=d/t
d=956km
t=56sec
v=956/56
v=17.07m/s
NEED HELP NOW!! PLEASE
A baseball diamond is a square with sides of 90 feet. What is the distance, to the nearest tenth of a foot, between home and second base?