The surface area of a cube is calculated using the following formula
[tex]S=6a^2[/tex]
If the surface area is given then the side length can be found and vice versa.
We have thus
[tex]302.46=6a^2 \\ 302.46/6=a^2 \\ a=\sqrt{302.46/6}\approx5.8\mathrm{in}[/tex]
Hope this helps.
Find the area of the following figure:
Answer:
A = 178 cm^2
Step-by-step explanation:
Split the figure into a trapezoid and a rectangle
Area of trapezoid:
A = ((a+b)/2)*h
A = ((14+8)/2)*10
A = 150
Area of rectangle:
A = w*h
A = 2*14
A = 28
150+28
A = 178 cm^2
A car travels 20 km west of Dasma, and was seen travelling 10km to east after. Calculate the
displacement of the car.
Answer:
Step-by-step explanation:
It goes 20 km to the west.
Then it turns around
And it goes 10 km west.
The net result is that it is 10 km from the starting point and it is east of Dasma.
I NEED THIS ANSWERED ASAP!!! A bicycle wheel makes five rotations. The bicycle travels 44.48 ft. Find the diameter of the wheel in inches. Use 3.14 for π.
Use the Normal model N(1156,59) for the weights of steers.
a) What weight represents the 39th percentile?
b) What weight represents the 99th percentile?
c) What's the IQR of the weights of these steers?
SOMEONE PLEASE HELP AND MARK AS BRAINLIEST
Save me Ill give brainliest!!! :)
Answer:
6/7
Step-by-step explanation:
Answer:
(t+6) × u
hope this helps!!
Simplify completely"""
Answer:
[tex]\displaystyle \frac{2(x + 2)}{x - 10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{2x^2 + 20x + 32}{x^2 - 2x - 80}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{2(x + 2)(x + 8)}{x^2 - 2x - 80}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{2(x + 2)(x + 8)}{(x - 10)(x + 8)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{2(x + 2)}{x - 10}[/tex]Write the equation of the line in slope intercept from that: Has a slope of m= −2 and goes through (1, 2). please help
Answer:
y=-2x+4
Step-by-step explanation:
Mark swims 14 miles a day, 5 days a week. How many miles does he swim in 3 days?
Answer:
42 miles
Step-by-step explanation:
If Mark swims 14 miles a day, all you have to do to find how many miles he swims in 3 days is mulitply 14 by 3. Thats how you get the answer of 42!
:)
the relationship described is linear or expor
Mandy is training for a half marathon.
She runs 4 miles this weekend. For the
next several weeks she plans to increase
her distance by 10% each weekend.
Answer:
Kasi
Step-by-step explanation:
kasi mapiti itlog ko
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?
left 4, down 9
left 4, up 23
right 4, down 9
right 4, up 23
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?
left 4, down 9
left 4, up 23
right 4, down 9<<<<<<< CORRECT
right 4, up 23
The translation should be right 4 units and down 9 units.
Which translation should we use?
First, we need to find the vertices of both functions.
for f(x) = x^2 the vertex is at (0, 0), as we already know.
For g(x) = -8x + x^2 + 7 the x-value of the vertex is at:
x = -(-8)/(2*1) = 4
Evaluating g(x) at x = 4 we get:
g(4) = -8*4 + 4*4 + 7 = -9
So the vertex is at (4, -9).
To go from (0, 0) to (4, -9) we need to move right 4 units and down 9 units, so the correct option is the third one.
If you want to learn more about translations, you can read:
https://brainly.com/question/24850937
7.) Which of the following are some of the possible solutions for the inequality?
-9w <-54
A. 6, 7, 8, 9
B. 6,5, 4,3
C.-6, -5, -4,-3
D. -6, -7,-8,-9
Answer:
A
Step-by-step explanation:
We will solve this inequality by dividing both sides by -9.
Remember, whenever you multiply or divide both sides by a negative number, the sign must be switched.
So we get:
[tex]w>6[/tex]
The only answer that has possible solutions that are greater than 6 is A.
f(x)=-12x^3-14x^2+6x
Help&EXPLAIN
=============
Answer:
133
Step-by-step explanation:
No: of figures = 3
Fig 1 = l x b = 12 x 6 = 72
Fig 2 = l x b = 13 x 5 = 45
Fig 3 = s xs = 4x 4 = 16
Fig area= fig 1+ fig 2+fig 3 = 72+45+16 = 133
For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, the probability that the wife will vote on the referendum is 0.28, and the probability that both the husband and the wife will vote is0.15.
A) What is the probability that at least one member of a married couple will vote?
B) What is the probability that a wife will vote, given that her husband will vote?
C) What is the probability that a husband will vote, given that his wife does not vote?
Answer:
a) 0.34 = 35% probability that at least one member of a married couple will vote.
b) 0.7143 = 71.43% probability that a wife will vote
c) 0.0968 = 9.68% probability that a husband will vote
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
This is used for itens B and C. For item a, we treat the probabilities as Venn sets.
A) What is the probability that at least one member of a married couple will vote?
I am going to say that:
Event A: Husband votes.
Event B: Wife votes.
The probability that the husband will vote on a bond referendum is 0.21
This means that [tex]P(A) = 0.21[/tex]
The probability that the wife will vote on the referendum is 0.28
This means that [tex]P(B) = 0.28[/tex]
The probability that both the husband and the wife will vote is 0.15.
This means that [tex]P(A \cap B) = 0.15[/tex]
At least one votes:
This is [tex]P(A \cup B)[/tex], which is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cup B) = 0.21 + 0.28 - 0.15[/tex]
[tex]P(A \cup B) = 0.34[/tex]
0.34 = 35% probability that at least one member of a married couple will vote.
B) What is the probability that a wife will vote, given that her husband will vote?
Here, we use conditional probability:
Event A: Husband votes:
Event B: Wife votes
The probability that the husband will vote on a bond referendum is 0.21
This means that [tex]P(A) = 0.21[/tex]
Intersection of events A and B:
Intersection between husband voting and wife voting is both voting, which means that [tex]P(A \cap B) = 0.15[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143[/tex]
0.7143 = 71.43% probability that a wife will vote.
C) What is the probability that a husband will vote, given that his wife does not vote?
Event A: Wife does not vote.
Event B: Husband votes.
The probability that the wife will vote on the referendum is 0.28
So 1 - 0.28 = 0.62 probability that she does not vote, which means that [tex]P(A) = 0.62[/tex]
Probability of husband voting and wife not voting:
0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so [tex]P(A \cap B) = 0.06[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968[/tex]
0.0968 = 9.68% probability that a husband will vote
Determine the x-intercept points of the function h(x) = (x – 5)(x – 6).
Question 4 options:
A)
(5,0) and (6,0)
B)
(–5,0) and (–6,0)
C)
(5,0) and (–6,0)
D)
(–5,0) and (–6,0)
Convert 18 inches to feet using the table.
inches
conversion
feet
14 inches convert to feet
Answer:
18inches = 1.5 ft.
14inches= 1.16667 ft.
Step-by-step explanation:
1inch = 0.0833 ft.
Answer:
18 inches = 1.5ft
14 inches = 1.16ft
Step-by-step explanation:
First, you need to know how many inches are in a foot. Then you take what you have and divide it by that number. So it would be 18/12 or 14/12 and that would give you your answer
How can you tell that a graph is a proportional ( what does it look like and what point will it always go through? )
Answer:
You can tell if a graph is a proportional relationship, by seeing if the line passes through the origin (0, 0). It looks like a straight line, which comes or goes through the origin.
Answer:
To determine whether x and y have a proportional relationship, see if the line through these points passes through the origin (0, 0). The points are on a line that passes through the origin. So, x and y have a proportional relationship.
The following are the temperatures of 10 days in winter in °C. -5, 1, -2, 7, -3, 9, 7, -5, -2, -5 Work out the mean temperature.
Answer:
probably 0.2 and sorry if wrong
terry has nuts and bolts 7:9 if terry has 36 bolts how many nuts does terry have
Answer:
28
Step-by-step explanation:
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4HH, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HTHT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the 18 elements of the sample space SS.
For the sample space SS
(a) list the elements corresponding to the event AA that a number less than 3 occurs on the die;
(b) list the elements corresponding to the event BB that two tails occur;
(c) list the elements corresponding to the event A′A ′;
(d) list the elements corresponding to the event A′∩BA ′ ∩B;
(e) list the elements corresponding to the event A∪BA∪B.
Answer:
Kindly check attached picture for sample space.
Step-by-step explanation:
Sample space, S
S = {1HH, 1HT, 1TT, 1TH, 2H, 2T, 3HH, 3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}
The tree diagram for all 18 elements in the sample space can be found in the picture attached below :
a.)
Event A ; number on die < 3
A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}
b.)
Event B ; 2 tails occur :
B = {1TT, 3TT, 5TT}
QUESTIONS B, C and E are not well formatted
Three hermit crabs at a pet store cost $ 21.75 . If each hermit crab, h , costs the same amount, which equation can be used to find the cost per hermit crab correctly?
Answer:
Step-by-step explanation:
$21.75/(3 crabs) = $7.25/crab
Write in factored form
6x – 3y + 12
Answer:
3(2x-y+4)
Step-by-step explanation:
find the greatest common factor from all of them..which is 3
and then divide each number by it
3(2x-y+4)
a line that separates the plane into two regions
Answer:
Two-Half Planes. Or, You can Call it a Boundary line.
Step-by-step explanation:
Answer:
half-planes or boundary region
Step-by-step explanation:
Nora is going to invest $9,600 and leave it in an account for 8 years.
Assuming the interest is compounded continuously, what interest rate,
to the nearest hundredth of a percent, would be required in order for
Nora to end up with $14,400?
Answer:
The answer is 5.07%, I just did this :)
Estimate a 15% tip on a dinner bill of $83.53 by first rounding the bill amount to the nearest ten dollars.
Answer:
the tip amount is $12
Step-by-step explanation:
The computation of the tip amount is shown below:
But before that rounded the dinner bill to the nearest ten dollars i.e. $80
Now the tip amount is
= Dinner bill × tip percentage
= $80 × 15%
= $12
Hence, the tip amount is $12
A. Add the following integers.
11.7 + 9 =
12. - 9+ (- 10 ) =
13. (- 14 ) + 5 =
14.9+(-14) =
15.-5+ (-8)=
Answer:
11. 16
12. -19
13. -9
14. -5
15. -13
Step-by-step explanation:
A boat travels 336 miles in 22hours (with a constant speed). How far can it travel in 8 hours (with the same speed)?
Answer:
122.18 miles.
Step-by-step explanation:
336miles/22hours × x miles/8hours
336 × 8 ÷ 8 = 122.18miles
good luck, i hope this helps :)
Please help, at it with these graphs again, thanks in advance.
One car is increasing its speed at a steady rate, while another car is decreasing its speed at a steady rate. The speed (y) over time (x) for the cars is represented by the following system of equations.
(picture of graph)
After _[blank A]_ minutes, both cars were traveling at a speed of _[blank B]_ miles per hour.
Enter your answer as the values that correctly fill in the blanks in the previous sentence, in the correct order, and separated by a comma, like this: 42, 53
Answer:
5, 45
Step-by-step explanation:
A new car has a sticker price $20,880, while the invoice price paid on it was
$17,920. What is the percent amount of markup?
A. 14.18%
B. 16.52%
C. 46.19%
D. 53.81%
SUBMIT
Answer:
16.52
Step-by-step explanation:
