Answer:
Step-by-step explanation:
A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height hope this helped somehow ;-; sry if not
WORTH 23 POINTS - While reading a news article, Bethany noticed that the word "senselessness" had a lot of repeating letters. Bethany wondered about the probabilities of randomly drawing certain letters if each letter in "senselessness" were written on an index card and put into a bag.
Answer:
To determine which letter has the greatest probability of being selected and its corresponding probability, we need to count the number of times each letter appears in the word "senselessness".
The word "senselessness" contains a total of 12 letters, with 4 distinct letters: "e", "s", "n", and "l". We can count the number of times each letter appears as follows:
"e" appears 4 times
"s" appears 4 times
"n" appears 2 times
"l" appears 2 times
Therefore, the letter "e" and "s" have the greatest probability of being selected, as they appear most frequently in the word. The probability of selecting the letter "e" would be 4/12, which simplifies to 1/3 or approximately 0.33. Similarly, the probability of selecting the letter "s" would also be 1/3 or approximately 0.33.
On the other hand, the letter with the least probability of being selected would be either "n" or "l", as they appear the least frequently. The probability of selecting either "n" or "l" would be 2/12, which simplifies to 1/6 or approximately 0.17.
I'm not sure if this answers your question, but i really hope it helps!
Please mark brainliest though, it really helps!
what is the arc length of a semicircle with a diameter of 8
Answer:
\( \frac{88}{7} units\)
Step-by-step explanation:
Circumference of semi-circle=
\(\pi \: r\)
\( \frac{22}{7} \times 4 \\ \frac{88}{7} \)
PLEASE HELP !!!!!
Function g is graphed here. If function f is the parent exponential function (). what is the equation of transformed function g in terms of f?
Therefore , the solution of the given problem of function comes out to be f(x) = 1.1f(x + 1) is the solution for the graph.
What is function?The study of mathematics includes looking at numbers, their variables, the world around us, buildings, and both real and imagined places. An illustration of the relation between the quantity of inputs and the appropriate outputs for each is called a function. A function, simply described, is a group of inputs who, when combined, provide distinct outputs for each input. Every function has a city, province, or scope—also referred to as a domain—assigned to it. Functions are usually indicated with the letter f. (x). The input contains an x.
Here,
Given:
The parent function f(x) is translated left by one unit and slightly stretched vertically to form g(x).
=>g(x) is:
=> f(x) = 1.1f(x + 1)
Thus , f(x) = 1.1f(x + 1) is the given function which is graphed here.
Therefore , the solution of the given problem of function comes out to be f(x) = 1.1f(x + 1) is the solution for the graph.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
In regression analysis, the error term ε is a random variable with a mean or expected value of.
In regression analysis , the error term ε is a random variable with expected value of 0.
What is regression analysis?
A set of statistical procedures known as regression analysis is used to estimate the relationships between a dependent variable and one or more independent variables.
Main Body:
In regression analysis, the model in the form is called regression model.
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = β0 + β1x, is known as regression equation.
So the answer to error term is 0.
To learn more about regression analysis click on the link below
https://brainly.com/question/28178214
#SPJ4
An aquarium can be modeled as a right rectangular prism. Its dimensions are 12 in by 4 in by 4 in. How many cubic inches of water are in it when it is full? Round your answer to the nearest tenth if necessary.
when the aquarium is full, it contains 192 cubic inches of water.
The volume of a right rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
In this case, the dimensions of the aquarium are l = 12 in, w = 4 in, and h = 4 in. So the volume of the aquarium is:
V = (12 in)(4 in)(4 in) = 192 in³
Therefore, when the aquarium is full, it contains 192 cubic inches of water.
What is an aquarium ?
An aquarium is a container or a facility used to house aquatic animals and plants, typically for display purposes in homes, offices, public spaces, or institutions such as zoos and aquariums. It can also be a decorative element that adds life and beauty to an indoor or outdoor space.
What is prism?
A prism is a solid object with two identical ends (or bases) and flat sides. The sides of a prism are typically parallelograms or rectangles, and the prism is named by the shape of its base.
The volume of a prism can be calculated by multiplying the area of its base by its height. The formula for the volume of a prism is V = Bh, where B is the area of the base and h is the height.
To know more about the prism, visit:
https://brainly.com/question/12649592
#SPJ1
find the measure of ∠6 please help! answer and how to do it?
Answer:
56 degrees
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Opposite angles of two parallel lines formed by crossing by third line are equal
A product's quality characteristic has a specification (in inches) of $0.200 \pm 0.020$. If the value of the quality characteristic exceeds 0.200 by the tolerance of 0.020 on either side, the product will require a repair of $\$ 150$. The Taguchi loss function for this example is given by:
$L(x)=60(x-T)^2$
b. $L(x)=150(x-T)$
c. $L(x)=375,000(x-T)^2$
d. $L(x)=30(x-T)^2$
If the value exceeds\($0.200$\) by the tolerance of \($0.020$\) on either side, a repair cost of \($\$150$\)is incurred.
\($L(x) = 150(x - T)$\) option b.
The Taguchi loss function measures the cost or loss associated with deviations from a target value in a quality characteristic.
In this case, the specification for the quality characteristic is \($0.200 \pm 0.020$\).
If the value exceeds \($0.200$\) by the tolerance of \($0.020$\)on either side, a repair cost of $\$150$ is incurred.
Based on this information, the Taguchi loss function for this example is given by:
b.\($L(x) = 150(x - T)$\)
In the given options, option b represents the correct Taguchi loss function. The loss function is a linear function where the loss increases linearly with the deviation from the target value.
The coefficient of \($150$\) represents the cost of repair per unit deviation.
This loss function is appropriate for the given scenario as it accurately captures the cost associated with deviations from the target value.
The Taguchi loss function provides a quantitative measure to assess the impact of variations in the quality characteristic and helps in making decisions regarding process improvement and optimization.
In this case, it allows for evaluating the cost implications of exceeding the specified tolerance and guides decision-making on whether repairs are necessary based on the associated costs.
for such more questions on cost
https://brainly.com/question/2292799
#SPJ8
math geometry (10 points)
Answer:
100
Step-by-step explanation:
x=100
bcz vertically opposite angles
What is the value of x, in the question -8 = 14
Answer:
there is no X to have a value...
why is it that when you have a power to a power situation, why do you multiply the exponents ? create an example as part of your explanation
Step-by-step explanation:
For example, (2^4) is 2x2x2x2 or 16
(2^4)^3 Would be 16^3 or 2x2x2x2 3 times so 12 times in a row which is 4x3
Because exponents are for repeating multiplication they multiply when used together
Find the indicated probability 6) A bin contains 64 light bulbs of which 20 are white, 14 are red, 17 are green and 13 are clear. Find the probability of blindly drawing from the bin, in order, a red bulb, a white bulb, a green bulb, and a clear light bulb: a a) with replacement b) without replacement:
a) With ReplacementWhen drawing with replacement, this means that a bulb is taken from the bin and replaced before the next bulb is drawn.
Hence, the probability of drawing a red bulb, a white bulb, a green bulb, and a clear light bulb with replacement is given by: P(Red, White, Green, Clear with replacement) = P(Red) x P(White) x P(Green) x P(Clear) = (14/64) x (20/64) x (17/64) x (13/64) = 0.0025 or 0.25%So, the probability of blindly drawing from the bin, in order, a red bulb, a white bulb, a green bulb, and a clear light bulb with replacement is 0.0025 or 0.25%.b) Without ReplacementWhen drawing without replacement, a bulb is taken from the bin, but it is not replaced before the next bulb is drawn. Hence, the probability of drawing a red bulb, a white bulb, a green bulb, and a clear light bulb without replacement is given by: P(Red, White, Green, Clear without replacement) = P(Red) x P(White|Red drawn) x P(Green|Red and White drawn) x P(Clear|Red, White and Green drawn) = (14/64) x (20/63) x (17/62) x (13/61) = 0.0001345 or 0.01345%So, the probability of blindly drawing from the bin, in order, a red bulb, a white bulb, a green bulb, and a clear light bulb without replacement is 0.0001345 or 0.01345%.
To know more about replacement visit:
https://brainly.com/question/31948375
#SPJ11
a) with replacement P(R) = 14/64; P(W) = 20/64; P(G) = 17/64; P(C) = 13/64The probability of the event is given by the product of probabilities.P(R, W, G, C) = P(R) · P(W) · P(G) · P(C)P(R, W, G, C) = (14/64) · (20/64) · (17/64) · (13/64)P(R, W, G, C) = 0.00313499 ≈ 0.0031P
(R, W, G, C) ≈ 0.31%The probability of blindly drawing from the bin, in order, a red bulb, a white bulb, a green bulb, and a clear light bulb, with replacement is approximately 0.31% b) without replacementP(R) = 14/64; P(W) = 20/63; P(G) = 17/62; P(C) = 13/61The probability of the event is given by the product of probabilities.
P(R, W, G, C) = P(R) · P(W) · P(G) · P(C)P(R, W, G, C) = (14/64) · (20/63) · (17/62) · (13/61)P(R, W, G, C) = 0.00183707 ≈ 0.0018P(R, W, G, C) ≈ 0.18%The probability of blindly drawing from the bin, in order, a red bulb, a white bulb, a green bulb, and a clear light bulb, without replacement is approximately 0.18%.
To know more about replacement visit:
https://brainly.com/question/31948375
#SPJ11
Three more than a number j is at most 12
Answer:
j + 3 ≤ 12
Hope this helps :)
Solution, Explanation, & Check part below
Step-by-step explanation:
1. Isolate variable by doing the inverse operation which is subtracting 3 on both sides of the equation.
j + 3 ≤ 12
- 3 - 3
j ≤ 9
j can be any number that is less than 9 or equal to 9.
Check:
9 + 3 ≤ 12
12 ≤ 12
12 is equal to 12 ✓
Does molar mass depend on pressure and temperature?
No, molar mass is a constant and does not depend on pressure or temperature.
Molar mass is a physical property of a substance and is the mass of one mole of a given substance. It is a constant value that represents the amount of grams of a substance that contains 022 x 1023 atoms or molecules. Since molar mass is a constant, it does not depend on pressure or temperature. Pressure and temperature can affect the physical and chemical properties of a substance, but they do not have an effect on the molar mass. The molar mass of a substance can be useful in determining molecular and empirical formulas, as well as calculating densities and molar concentrations.
Learn more about temperature here
https://brainly.com/question/29768169
#SPJ4
An exterior angle and the interior angle of a regular polygon added pressure toast to 7 find the number of sides of the polygon
Step-by-step explanation:
I hope this answer is helpful ):
Complete the steps to solve the equation - 12x - 14 = - 86.
- 12x - 14 = - 86
- 12x =
Write the original equation.
Apply the Addition Property of Equality.
Apply the Division Property of Equality.
X =
I just need the answers for what -12x= and x=
Answer:
x=6
Step-by-step explanation:
-12x-14=-86
-12x+12=+14
-12x=-72
-12/-12x=-72/-12
x=6
Can someone help me quickly?
Jamila has a recipe for biscuits.
To make 12 biscuits
250 g oats
125 g butter
100 g sugar
2 tablespoons syrup
Jamila makes 36 biscuits.
Wok out how much butter she needs.
Answer:
Jamila need's 375g of butter
Step-by-step explanation:
12 biscuits , but she wants to make 36,
12x3 = 36 so times to rest of the ingredients by 3
250x3=750g Oats
125x3=375g Butter
100x3=300g Sugar
2x3= 6 tablespoons of syrup
Jamila needs 375 g of butter to make 36 biscuits.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If the recipe makes 12 biscuits and Jamila wants to make 36 biscuits, she needs to triple the recipe.
To triple the amount of butter, we can multiply 125 g by 3:
125 g x 3 = 375 g
Therefore,
Jamila needs 375 g of butter to make 36 biscuits.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Please help me I am learning adding and subtracting radicals
Answer:
Below
Step-by-step explanation:
= 5 sqrt (4 x 3) + 3 sqrt (3)
= 5 x 2 sqrt (3) + 3 sqrt 3
= 10 sqrt 3 + 3 sqrt 3 = 13 sqrt(3)
which of the following rational functions is graphed below A.f(x)=1/x-4 B. F(x)=1/4x
Considering it's vertical asymptote, the rational function graphed below is given by:
A. \(F(x) = \frac{1}{x - 4}\).
What are the vertical asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
In this graph, there is a vertical asymptote at x = 4, that is, x - 4 is a term of the denominator, hence the function is given by:
A. \(F(x) = \frac{1}{x - 4}\).
More can be learned about vertical asymptotes at https://brainly.com/question/16948935
#SPJ1
4(x + 2) > 6Please help me:(
We are given the following inequality
\(4\left(x+2\right)>6\)Let us solve the inequality to find the value of x.
Step 1: open the brackets
\(\begin{gathered} 4\left(x+2\right)>6 \\ 4x+8>6 \end{gathered}\)Step 2: subtract 8 from both sides
\(\begin{gathered} 4x+8-8>6-8 \\ 4x>-2 \end{gathered}\)Step 3: divide both side by 4
\(\begin{gathered} \frac{4x}{4}>\frac{-2}{4} \\ x>\frac{-1}{2} \end{gathered}\)Therefore, the value of x is greater than -1/2 that is (x > -1/2)
Explain too please !!!!!!!!!!!!!!!!!!
Answer:
4th Option isn't a function
Step-by-step explanation:
it is because a domain can't have two images in the co domain set
Hope it helps
Please mark as brainliest
Answer:
"D" (the fourth one....(7,1),(6,2)....
a "function" is a very specific relationship in math...
for a relationship to be "a function" every possible INPUT (x-values) has to map (correspond) to a UNIQUE output value (Y-value)
a line is a function (all x's have unique y values.
A circle is NOT ..... at the center (x-value) there are two y values (one above and one below)
in your problem answer "D" the "x-value" "5" has two different "y-values"
3 and 4
Step-by-step explanation:
how tall is the cat?
The height of the cat is solved to be
4 m
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Examining the figure shows that pair of equivalent sides are
distance of the tree and the cat from the mirror
then height of the tree and height of the cat
The solution is worked out taking the proportions
distance of the tree from the mirror / distance of the cat from the mirror
=
height of the tree / height of the cat
plugging in the values
24/6 = 16 / height of the cat
height of the cat = 16 * 6 / 24
height of the cat = 4 m
Learn more about similar triangles here:
https://brainly.com/question/29333623
#SPJ1
PLEASE HELP!
Question is on photo!
Thank you!!
Domain is the places where there are valid points on the graph from left to right. This equation extends infinitely negative and infinitely positive, so the domain is
-inf < x < inf
Range is the places where there are valid points on the graph from up to down. This equation extends infinitely positive and infinitely negative, so the range is
-inf < y < inf
Its decreasing from -inf to the point -2 (you can't decrease at a point, so this is not inclusive)
Its decreasing from -inf < x < -2 and 0 < x < inf
Its increasing from -2 to 0
-2 < x < 0
Hope this helps :)
Reply if you have any questions
i need help with this
Answer:
Perimeter of FGH = 192
Step-by-step explanation:
42 / 28 = 1.5
50 x 1.5 = 75
44 x 1.5 = 66
34 x 1.5 = 51
75 + 66 + 51 = 192
Hi, I'm new, please can you help me with these math exercises Thank you very much
:3 given the algebraic fraction p (x) 2x2-2x determine its numerical value for x: 3 3x-1 given the algebraic fraction p (xy) - 3xy-y2 + x xy- + determine its numerical value for x- {3 y- {2 p (x, y) part 2: perform the following exercises by factoring a) b8 p4 + b: up3 -12 b7 p2 + 15u2 + b3 p5: b ) 32 p2 -24 p3 + 16 p2 -8 p4: part 3: perform the following equations a) 4x + 5 + 2: 3x-2 + 5b) 2-9x + 6: 2x-4x-6c) 3x-5 + 2: 2 + 4x-3d) bx-5x + 4: 3x + 5x + 2
thank you
A unicycle wheel has a diameter of 20 inches. How many inches will the unicycle travel in 8 revolutions? Use π = 3.14 and round your answer to the nearest hundredth of an inch.
Answer:
502.40 inches
Step-by-step explanation:
First we need to find the circumference of the wheel, which is given by pi times the diameter:
C = (3.14)(20) = 62.8 inches
That's how far the unicycle will travel in 1 revolution, so from there just multiply by 8
D = (62.8)(8) = 502.40 inches
The unicycle travel 502 inches in 8 revolutions
What is a circumference of a circle?The circumference is the perimeter of a circle. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.
Given that, a unicycle wheel has a diameter of 20 inches.
To find that how many inches will the unicycle travel in 8 revolutions, we will multiply the circumference to the asked number of revolutions.
Circumference = π × diameter
= 3.14 × 20 = 62.8 inches
The unicycle travel in 8 revolutions = 62.8 × 8 = 502.4 inches
In nearest hundred = 502 inches
Hence, the unicycle travel 502 inches in 8 revolutions
For more references on circumference, click;
https://brainly.com/question/28757341
#SPJ5
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Cube A has a volume of 9 in3. Cube B has a volume of 5 in3. Which of the following expresses the ratio of the side length of Cube A to the side length of Cube B?
(A) 3 : 5 ^1/3
(B) 5^1/3 : 3^1/3
(C) 3^1/3 : 5^2/3
(D) 3^1/3 : 5^1/3
(E) 3^2/3 : 5^1/3
Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:
\(r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}\)
Which means that option E is correct.
The volume of a cube of side length l is given by:
\(V = l^3\)
For Cube A, the volume is of 9 cubic inches, hence:
\(l_a^3 = 9\)
\(l_a = \sqrt[3]{9}\)
\(l_a = 9^{\frac{1}{3}}\)
\(l_a = 3^{\frac{2}{3}}\)
For Cube B, the volume is of 5 cubic inches, hence:
\(l_b^3 = 5\)
\(l_b = \sqrt[3]{5}\)
\(l_b = 5^{\frac{1}{3}}\)
Then, the ratio is:
\(r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}\)
To learn more about the volume of a cube, you can take a look at https://brainly.com/question/13030328
Consider the following function.g(x)=x3−6A) Find its average rate of change over the interval [−2,2].B) Compare this rate with the instantaneous rates of change at the endpoints of the interval.
a) The average rate of change over the interval [−2,2] is 4.
b) The instantaneous rates of change at the endpoints of the interval are the same (12), but they are not equal to the average rate of change over the interval (4).
A) To find the average rate of change of g(x) over the interval [-2,2], we need to calculate the slope of the line passing through the points (-2,g(-2)) and (2,g(2)).
g(-2) = (-2)³ - 6 = -8 - 6 = -14
g(2) = (2)³ - 6 = 8 - 6 = 2
Therefore, the slope of the line passing through these two points is:
(g(2) - g(-2))/(2 - (-2)) = (2 - (-14))/(2 - (-2)) = 16/4 = 4
B) To compare this rate with the instantaneous rates of change at the endpoints of the interval, we need to find the derivative of g(x):
g'(x) = 3x²
At x=-2, the instantaneous rate of change of g(x) is:
g'(-2) = 3(-2)² = 12
At x=2, the instantaneous rate of change of g(x) is:
g'(2) = 3(2)² = 12
We can see that the instantaneous rates of change at the endpoints of the interval are the same (12), but they are not equal to the average rate of change over the interval (4). This is because the function g(x) is not a straight line and its rate of change varies across the interval.
Learn more about the intervals at
https://brainly.com/question/29197921
#SPJ4
Number 30-33 PLS HELP WILL BE BRAINLIEST AND GET 50 POINTS !!!
Answer:
30) 96 people
31) 128 people
32) 128 people
33) Radio 5
Step by step explanation:
30) To find the number of people who prefer radio 1, we have to find the percent of radio 1 as against 640 people.
Radio 1 has 15percent out of 640 people
15/100×640 = 9600/100 = 96 people
Therefore, 96 people out of 640 people prefer Radio 1
31) To find the number of people who prefer radio 4, we have to find the percent of radio 4 as against 640 people.
20/100 × 640 = 12800/100 = 128 people.
Therefore, 128 people prefer radio 4
32) To do this, we have to find the total number of people who prefer Radio 2 and Radio 3 and subtract them together to be able to find the answer.
Number of people who prefer Radio 2:
30/100 × 640 = 19200/100 = 192 people
Number of people who prefer Radio 3:
10/100 × 640 = 6400/100 = 64 people
People who prefer Radio 2 than Radio 3
192 people - 64 people = 128 people
33) Radio 1 attracts 15 percent of listeners. Radio 3 attracts 10 percent of listeners. Sum that up (15% + 10% = 25%) and you have 25 percent. Radio 5 has 25 percent of listeners. Therefore, radio 5 is the answer
.
.
.
.
.
.
.
Hope this helps!
This is Evaluating Functions.Replace the X values with the number in the question ("Find f( )" )
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12