Answers
Answer:volume=125 cm^3
Surface area=150 cm^2
Step-by-step explanation:
Part A:
volume=length x width x height
volume=5 x 5 x 5
Volume=125 cm^3
Part B:
Surface area=6x5x5
Surface area=150 cm^2
Related Questions
Simon is building a ramp in the shape of a triangular prism. He plans to paint each face of the ramp. What is the total surface area of the ramp?
A triangular prism. The base has a length of 8 feet and height of 4 feet. A rectangular side has a base of 8 feet and height of 5 feet. Another rectangular side has a base of 8 feet and height of 3 feet. The triangular sides have a base of 4 feet and height of 3 feet.
68 square feet
96 square feet
108 square feet
114 square feet
Answers
Answer:
108 square feet
Step-by-step explanation:
When you say "triangular prism" it means the base is a triangle and the lateral faces are all rectangles. It doesn't matter which side is lying on the ground.
So, we see this is a triangular prism with a 3-4-5 right triangle as a base, and a "height" of 8 feet.
Its total surface area is the area of the two triangle bases plus the area of the three rectangular faces:
A = 2(1/2)(4·3) +8(3 +4 +5) = 12 +96 = 108 . . . . . square feet
Answer:
its C
Step-by-step explanation:
The equation of a circle is (x−2) 2 + (y−6) 2 =64 . What is the center and radius of the circle?
Answers
Answer:
The center is (2,6) and the radius is 8
Step-by-step explanation:
The answer is center: (2,6); radius: 8
How would you write "4/1000" In decimal form?
Answers
Answer:
0.004
Step-by-step explanation:
Since 4/10 is 0.4 and 4/100 is 0.04, 4/1000 must be 0.004
Answer:
0.004
Step-by-step explanation:
[tex]\frac{4}{1000}[/tex] is basically [tex]4 \cdot 10^{-4[/tex] (if you've learned scientific notation), so all you have to do is move the decimal to the left four times. That gives us
[tex]4.0\\0.4\\0.04\\\boxed{0.004}[/tex]
More depth:
[tex]10^{-4[/tex] also equals 0.001, so [tex]4 \cdot 0.001 = \boxed{0.004.}[/tex]
*You may do division and find the answer too. However, these ways are quicker.
Given tan A = − 12/35 and that angle A is in Quadrant IV, find the exact value of sinA in simplest radical form using a rational denominator.
Answers
Answer:
Sin A= − 12/37
Step-by-step explanation:
tan A = − 12/35
Reason for minus sign is because of it's in the fourth quadrant.
12 = opposite
35 = adjacent
? = Hypotenuse
12² + 35² = hypotenuse ²
1369 = hypotenuse ²
hypotenuse = √1369
hypotenuse= 37
Sin = -12/37
Reason for minus sign is because of it's in the fourth quadrant.
Solve for e.
9e + 4 = -5e + 14 + 13e
Answers
Answer:
e = 10
Step-by-step explanation:
In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.
9e + 4 = -5e + 14 + 13e
We can do this multiple ways, but I will show you how I would do it.
First I would subtract 4 from both sides.
9e + 4 = -5e + 14 + 13e
9e = -5e + 14 + 13e - 4
We can simplify the right side of the equation down by subtracting four from 14.
9e = -5e + 10 + 13e
Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)
-5e + 13e = 8e
9e = 8e + 10
Now we subtract algebraic expression 8e from both sides
9e - 8e = 10
All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.
9e - 8e = 10
1e = 10
or
e = 10
We have isolated e! Our final answer is e = 10
HELPPP PLEASEEEEE!!!!!!!!!
Answers
Answer:20
Step-by-step explanation:
Since it is a right angled triangle we can use Pythagoras principle to get the missing length
Let the missing length be h
h=√(16^2+12^2)
h=√(16x16+12x12)
h=√(256+144)
h=√(400)
h=20
Difference between-9°C and -21°C
Answers
Answer:
12
Step-by-step explanation:
21-9=12 hope this helps :)
(10 points) Consider the initial value problem y′+3y=9t,y(0)=7. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). = help (formulas) Solve your equation for Y(s). Y(s)=L{y(t)}=
Answers
Answer:
The solution
[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3 t}[/tex]
Step-by-step explanation:
Explanation:-
Consider the initial value problem y′+3 y=9 t,y(0)=7
Step(i):-
Given differential problem
y′+3 y=9 t
Take the Laplace transform of both sides of the differential equation
L( y′+3 y) = L(9 t)
Using Formula Transform of derivatives
L(y¹(t)) = s y⁻(s)-y(0)
By using Laplace transform formula
[tex]L(t) = \frac{1}{S^{2} }[/tex]
Step(ii):-
Given
L( y′(t)) + 3 L (y(t)) = 9 L( t)
[tex]s y^{-} (s) - y(0) + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]
[tex]s y^{-} (s) - 7 + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]
Taking common y⁻(s) and simplification, we get
[tex]( s + 3)y^{-}(s) = \frac{9}{s^{2} }+7[/tex]
[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]
Step(iii):-
By using partial fractions , we get
[tex]\frac{9}{s^{2} (s+3} = \frac{A}{s} + \frac{B}{s^{2} } + \frac{C}{s+3}[/tex]
[tex]\frac{9}{s^{2} (s+3} = \frac{As(s+3)+B(s+3)+Cs^{2} }{s^{2} (s+3)}[/tex]
On simplification we get
9 = A s(s+3) +B(s+3) +C(s²) ...(i)
Put s =0 in equation(i)
9 = B(0+3)
B = 9/3 = 3
Put s = -3 in equation(i)
9 = C(-3)²
C = 1
Given Equation 9 = A s(s+3) +B(s+3) +C(s²) ...(i)
Comparing 'S²' coefficient on both sides, we get
9 = A s²+3 A s +B(s)+3 B +C(s²)
0 = A + C
put C=1 , becomes A = -1
[tex]\frac{9}{s^{2} (s+3} = \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}[/tex]
Step(iv):-
[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]
[tex]y^{-}(s) =9( \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}) + \frac{7}{s+3}[/tex]
Applying inverse Laplace transform on both sides
[tex]L^{-1} (y^{-}(s) ) =L^{-1} (9( \frac{-1}{s}) + L^{-1} (\frac{3}{s^{2} }) + L^{-1} (\frac{1}{s+3}) )+ L^{-1} (\frac{7}{s+3})[/tex]
By using inverse Laplace transform
[tex]L^{-1} (\frac{1}{s} ) =1[/tex]
[tex]L^{-1} (\frac{1}{s^{2} } ) = \frac{t}{1!}[/tex]
[tex]L^{-1} (\frac{1}{s+a} ) =e^{-at}[/tex]
Final answer:-
Now the solution , we get
[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3t}[/tex]
A researcher planned a study in which a crucial step was offering participants a food reward. It was important that three food rewards were equal in appeal. Thus, a pilot study was designed in which participants were asked which of the rewards they preferred. The observed frequencies are as follows:
Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots.
1. The appropriate statistical test for this problem is (be specific): ________.
2. What are the expected frequencies for this question?
3. What is the cutoff on the comparison distribution (step 3)?
4. What is the correct calculation for chi-square (step 4)?
Answers
Answer:
Step-by-step explanation:
Hello!
A pilot study was conducted to test if three food rewards are equally appealing to the participants.
Of 60 participants surveyed:
16 preferred cupcakes (CC)
26 preferred candy bars (CB)
18 preferred dried apricots (DA)
If the three types of food are equally appealing for the participants, you'd expect that their proportions will be equal: P(CC)=P(CB)=P(DA)= 1/3
1.
The objective of this pilot study is to test if the observed frequencies follow a theoretical model/ distribution. To analyze this, you have to apply a Chi Square Goodness to Fit test. [tex]X^2=sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex] Where k= number of categories of the variable.
For this example the statistical hypotheses are:
H₀: P(CC)=P(CB)=P(DA)= 1/3
H₁: At least one of the proportions isn't equal to the others.
2.
To calculate the expected frequencies for each category you have to use the formula: [tex]E_i= n* P_i[/tex] where Pi represents the theoretical proportion for the i category, stated in the null hypothesis.
[tex]E_{CC}= n* P(CC)= 60*1/3= 20[/tex]
[tex]E_{CB}= n*P(CB)= 60*1/3= 20[/tex]
[tex]E_{DA}= n* P(DA)= 60* 1/3= 20[/tex]
3.
The cutoff or critical value indicates the beginning of the rejection region for the hypothesis test. For the Chi-Square tests, the rejection region is always one-tailed to the right, meaning that you'll reject the null hypothesis if the value of the statistic is big. For the goodness to fit test you have k-1 degrees of freedom, so the critical value will be:
Assuming α: 0.05
[tex]X^2_{k-1;1-\alpha /2}= X^2_{2;0.975}= 7.378[/tex]
The rejection region is then X²₂ ≥ 7.378
4.
[tex]X^2_{H_0}= \frac{(O_{CC}-E_{CC})^2}{E_{CC}} + \frac{(O_{CB}-E_{CB})^2}{E_{CB}} + \frac{(O_{DA}-E_{DA})^2}{E_{DA}} = \frac{(16-20)^2}{20} +\frac{(26-20)^2}{20} +\frac{(18-20)^2}{20}= \frac{14}{5}= 2.8[/tex]
I hope this helps!
Which is the same as moving the decimal point 3 places to the right in a decimal number
Answers
Answer:
Moving the decimal 3 places to the right in a decimal number is the same as multiplying the number by 1000.
Some people take the early retirement option at age 62. According to the Social Security Administration, if you retire at age 62, your retirement benefits will be permanently reduced by 25%. If your monthly benefit, at full retirement age (67), would have been $1300 per month, and you retire at age 62, how much would you lose in total annual income over one year?
Answers
Answer:
$3900.
Step-by-step explanation:
If retirement is taken at the age of 67 years, income = $1300 per month.
% Loss, if retirement taken at the age of 62 years = 25% per month
Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years
[tex]\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$[/tex]
We know that there are 12 months in an year.
So, annual loss in total annual income over one year:
Loss in dollars per month [tex]\times[/tex] 12 :
325 [tex]\times[/tex] 12 = 3900$
Answer: $3,900
Step-by-step explanation:
What you usually make:
$1300 * 12 months = $15600
What you make with the cut:
$1300 * 0.75 = $975
* 12 months = $11700
15600-11700 = $3900
If you flip a coin ten times, how many different sequences of heads and tails are possible? a. 2 Superscript 9 Baseline = 512 b. 10 squared = 100 c. 10 squared = 1024 d. 2 Superscript 10 Baseline = 1024
Answers
Answer:
1024
Step-by-step explanation:
I don't know what this superscript is but the answer is above.
Answer:OPTION D: 2^10 = 1024
Step-by-step explanation: I just took the quiz on edge.hope this helps :)
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
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)
Do you remember the difference between a row and a column
in Math?
Answers
Answer:
Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.
Step-by-step explanation:
Which two whole numbers is √20 between?
Answers
Answer:4 and 5
Step-by-step explanation:
√(20) is approximately 4.5 so it is between 4 and 5
A bag contains 5 quarters 2 dimes and 4 pennies what is probability Of picking a dime
Answers
Answer: 5/11
Step-by-step explanation:
The probability of picking a dime is [tex]\frac{2}{11}[/tex].
What is probability?The measure of happening or non-happening of the outcomes of a random experiment is called probability.
Probability formulaP(E) = Number of favorable outcomes/ total number of outcomes
Where,
P(E) is the probability of an event.
According to the given question.
Total number of quarters coins = 5
Total number of dimes coins = 2
Total number of pennies coins = 4
Therefore,
The total number of coins in a bag = 5 + 4 + 2 = 11
⇒ Total number of outcomes = 11
So, the probability of picking a dime coin is given by
P(E) = total number of dime coins/ total number of coins in a bag
⇒[tex]P(E) = \frac{2}{11}[/tex]
Hence, the probability of picking a dime is [tex]\frac{2}{11}[/tex].
Find out more information about probability here:
https://brainly.com/question/11234923
#SPJ3
Math question please help
Answers
Answer:
square feet
Step-by-step explanation:
1/2 a feet is the full square is half
if a rectangular prism has a volume of 550 cm squared and its dimensions are all tripled, then what would be the new volume?
Answers
Answer:
The new volume would be 14,850cm³.
Step-by-step explanation:
The volume of a rectangular prism is:
[tex]V = l*w*h[/tex]
In which l is the length, w is the width and h is the height.
Dimensions tripled.
So [tex]l = 3l, w = 3w, h = 3h[/tex]
The modified volume will be:
[tex]V_{m} = 3l*3w*3h = 27*l*w*h = 27V[/tex]
Volume of 550 cm³ before the dimensions are tripled.
This means that [tex]V = 550[/tex]
New volume:
[tex]V_{m} = 27*550 = 14850[/tex]
The new volume would be 14,850cm³.
Evaluate the related
series of each sequence
19, 28, 37, 46, 55
Answers
Answer: You add 9 each time
Step-by-step explanation:
19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55
hope this helps mark me brainliest if it did
Which number line correctly shows 0.8 + 0.3?
Answers
Answer:
the second answer
Step-by-step explanation:
cause 0+0.8 is 0.8 and 0.8+0.3 is 1.1
Answer:
A
Step-by-step explanation:
Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply.
The cost of 2 magnets is $1.
The cost of 9 magnets is $3.
The cost of 10 magnets is $3.
The cost of 4 magnets is S2
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Answers
Answer:
The true statements are:
The cost of 9 magnets is $3.
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Step-by-step explanation:
equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:
if the cost of 9 magnets is $3;
9 magnets = $3
∴ 1 magnet = 3/9 = $ 1/3 = 1:3
if the cost of 6 magnets is $2;
6 magnets = $2
1 magnet = 2/6 = $1/3 = 1:3
if the cost of 3 magnets is $1;
3 magnets = $1
∴ 1 magnet = $ 1/3 = 1:3
From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.
Please help ASAP! I will mark BRAINLIEST!! Please answer correctly! No guessing!
Answers
Answer:
exponential decay...................
Answer:
exponential decay
Step-by-step explanation:
If the amount is 1/2 every half hour, it is getting smaller, so it is decreasing, leaving choices a and b
We start with 100 items
100, 50 ,25, 12.5
this is not linear so it must be exponential decay
(X-3)^3(x+3)(x+5)^2(x+8)
Answers
Answer:Simplifying
5(x + 2) = 3(x + 8)
Reorder the terms:
5(2 + x) = 3(x + 8)
(2 * 5 + x * 5) = 3(x + 8)
(10 + 5x) = 3(x + 8)
Reorder the terms:
10 + 5x = 3(8 + x)
10 + 5x = (8 * 3 + x * 3)
10 + 5x = (24 + 3x)
Solving
10 + 5x = 24 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
10 + 5x + -3x = 24 + 3x + -3x
Combine like terms: 5x + -3x = 2x
10 + 2x = 24 + 3x + -3x
Combine like terms: 3x + -3x = 0
10 + 2x = 24 + 0
10 + 2x = 24
Add '-10' to each side of the equation.
10 + -10 + 2x = 24 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = 24 + -10
2x = 24 + -10
Combine like terms: 24 + -10 = 14
2x = 14
Divide each side by '2'.
x = 7
Simplifying
x = 7
Step-by-step explanation:
The article “Heavy Drinking and Polydrug Use Among
College Students” (J. of Drug Issues, 2008: 445–466) stated
that 51 of the 462 college students in a sample had a lifetime
abstinence from alcohol. Does this provide strong evidence
for concluding that more than 10% of the population sam-
pled had completely abstained from alcohol use? Test the
appropriate hypotheses using the P-value method. [Note:
The article used more advanced statistical methods to study
the use of various drugs among students characterized as
light, moderate, and heavy drinkers.]
Answers
Answer:
Yes it does provide strong evidence
Step-by-step explanation:
(-2h+9)(9h-2) in standard form
Answers
Answer: -18h^2 + 85h - 18
Step-by-step explanation:
(-2h+9)(9h-2)
Open brackets
(-2h x 9h) + (-2h x -2) + (9 x 9h) + (9 x -2)
-18h^2 + 4h + 81h - 18
Add like terms 4h + 81h
-18h^2 + 85h - 18
The sum of 5 consecutive integers is 70 what are the numbers
Answers
Answer:
12, 13, 14, 15, 16
Step-by-step explanation:
Let the five consecutive integers be (x - 2), (x - 1), x, (x + 1) & (x + 2)
According to the given condition:
[tex](x - 2) + (x - 1) + x + (x + 1) + (x + 2) = 70 \\ 5x = 70 \\ x = \frac{70}{5} \\ x = 14 \\ \implies \\ (x - 2) = (14 - 2) = 12 \\ (x - 1) = (14 - 1) = 13 \\ x = 14 \\ (x + 1) = (14 + 1) = 15 \\ (x + 2) = (14 + 2) = 16\\ [/tex]
Four people—Rob, Sonja, Jack, and Ang—enter their names into a drawing. The winner receives either a t-shirt or a mug, and which prize they receive is randomly selected.
What is the probability that either Ang wins and is given a mug, or Jack wins (and is given either prize)? Give the answer as a percent.
Answers
Answer:
3.125%Step-by-step explanation:
It is assumed the first winner is part of the second drawing as well
There are 4 people and two prizes
The probability of each person to win is 1/4
The first winner has 1/2 probability to get a mug
P(win and a mug) = 1/4*1/2 = 1/8 for AngThe second winner, if it is Jack, gets either prize
P(win and either prize) = 1/4The combined probability is:
1/8*1/4 = 1/32 = 0.03125 = 3.125%Answer:
The probability is 37.5%
Step-by-step explanation:
There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.
So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.
Also, “The monks named me aOng.”
plzz help its timed ill give brainliest
Answers
What times what gives you 1,000,000
Answers
Two solutions of salt water contain 0.04% and 0.2% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.12% salt. How much of each solution should she use?
Answers
x = amount (in L) of 0.04% solution
y = amount (in L) of 0.2% solution
x + y = 1
Each liter of p% salt solution contributes 0.01*p L of salt to the mixture. In the new solution, the lab tech wants to end up with a concentration of 0.12%, which comes out to 0.0012 * (1 L) = 0.0012 L of salt:
0.0004x + 0.002y = 0.0012
Solve for y in the first equation:
y = 1 - x
Substitute this into the other equation and solve for x, then y:
0.0004x + 0.002(1 - x) = 0.0012
0.0008 = 0.0016x
x = 0.5 L
y = 1 - 0.5 = 0.5 L
