Answers
Answer:
If the prism length is L, trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2. In other words, multiply together the length, height, and average of A and B.
Step-by-step explanation:
Related Questions
Question
For which distributions is the median the best measure of center?
Select each correct answer.
Responses
A bar graph that forms the shape of a pyramid on a graph.
Image with alt text: A bar graph that forms the shape of a pyramid on a graph.
A bar graph that forms a gradual incline and a sharp decline of values.
Image with alt text: A bar graph that forms a gradual incline and a sharp decline of values.
A bar graph that forms a sharp incline and a gradual decline of values.
Image with alt text: A bar graph that forms a sharp incline and a gradual decline of values.
A bar graph with values that hover around 10 y.
Answers
Answer: The median is the best measure of center for distributions that are skewed or have extreme values, since it is less affected by outliers than the mean. Therefore, the correct answers are:
- A bar graph that forms a gradual incline and a sharp decline of values.
- A bar graph that forms a sharp incline and a gradual decline of values.
Both of these graphs suggest that the data is skewed, and in these cases, the median is a better representation of the "typical" value than the mean.
The other two options do not provide enough information to determine whether the data is skewed or not, so we cannot say for certain whether the median is the best measure of center in those cases. The bar graph with values that hover around 10 y could have a symmetrical distribution with a mean and median that are the same, or it could have a skewed distribution where the median is a better measure of center. Similarly, the pyramid-shaped bar graph could have a symmetrical distribution, or it could be skewed in a way that the median is not a good measure of center.
Step-by-step explanation:
i need help please and thanks
Answers
a. Can a large batch reactor handling liquid reactions be operated even without a mehanical stirrer? Justify your answer.
b. Can the theoretical equation for the reaction time be used for this set-up? Why or why not?
Answers
While a large batch reactor handling liquid reactions can be operated without a mechanical stirrer, it may not be optimal in terms of reaction efficiency. The use of a mechanical stirrer helps ensure uniform mixing and a consistent reaction environment. The theoretical equation for reaction time may not be directly applicable in the absence of a mechanical stirrer, and additional considerations and experiments may be required to determine the reaction time accurately.
a. A large batch reactor handling liquid reactions can be operated without a mechanical stirrer, but it may not be ideal in terms of reaction efficiency. The use of a mechanical stirrer is common in batch reactors because it helps to ensure uniform mixing of the reactants and maintain a consistent reaction environment.
Without a mechanical stirrer, the reactants may not mix properly, leading to concentration gradients within the reactor. This can result in uneven reaction rates and incomplete reactions. Additionally, without proper mixing, the reaction mass may undergo undesired side reactions or formation of byproducts.
However, there are cases where a mechanical stirrer may not be required. For example, in some reactions with low viscosity liquids or where the reactants are highly soluble in the solvent, natural convection or diffusion may be sufficient to achieve adequate mixing.
b. The theoretical equation for reaction time may not be directly applicable to a setup without a mechanical stirrer. The equation for reaction time is often derived based on assumptions of ideal mixing conditions. Without a mechanical stirrer, the assumptions of ideal mixing may not hold, and thus the equation may not accurately predict the reaction time.
In the absence of a mechanical stirrer, the reaction time may be influenced by factors such as diffusion rates, convection patterns, and mixing efficiency. These factors can vary significantly depending on the specific reactor design and operating conditions. Therefore, it is necessary to consider these factors and possibly conduct experimental studies or simulations to determine the reaction time accurately in such a setup.
In summary, while a large batch reactor handling liquid reactions can be operated without a mechanical stirrer, it may not be optimal in terms of reaction efficiency. The use of a mechanical stirrer helps ensure uniform mixing and a consistent reaction environment. The theoretical equation for reaction time may not be directly applicable in the absence of a mechanical stirrer, and additional considerations and experiments may be required to determine the reaction time accurately.
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a man gives 40 percent of his money to his children and 20% of the remaining to a trust if we still left with 9600 what did he originally have
Answers
Answer:
20000
Step-by-step explanation:
9600 = 80% after he gave 40% to his children
80%=4/5
9600 / 4 * 5 = 12000
12000 = 60% of the original
60%=3/5
12000 / 3 * 5 = 20000
If we are told that ab= 0, then what can we infer by the zero product property we know =0 or. =0
Answers
When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.
We are given that ab = 0, where a and b are variables or numbers.
According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.
In our case, we have ab = 0. This means that the product of a and b is equal to zero.
To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.
It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.
Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.
In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.
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What is the missing constant term in the perfect square that starts with x2 + 18x
Answers
Answer:
81
Step-by-step explanation:
Take half of the x-term coefficient, and square it.
Half of 18 is 9.
9² = 81
Answer: 81
if 3000$ is invested at a rate of 12% compounded continuously, find the balance in the account after 5 years. Use the formula A=Pe^rt
Answers
Answer:
$5466.36
Step-by-step explanation:
This question is pretty cut and dry
just plug in the numbers
\(3000e^{5*.12}\\3000e^{.6}\\5466.356401\\5466.36\)
How do you solve complex fraction equations?
Answers
To solve complex fractions there are two methods -
1 - Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator and then simplify further if necessary.
2 - Multiply the numerator and denominator of the overall complex fractions and then simplify further if necessary.
What is a complex fraction?
A rational expression with a fraction in the numerator, denominator, or both is referred to as a complex fraction.
There are two ways to solve a complex fraction -
Method 1 : Take an example - (1/3-1/4)/(1/8+1/2)
Step 1 - If necessary, combine the denominator and numerator into a single fraction.
Add the numerator -
=1/3-1/4
=(4-3)/12
=1/12
Add the denominator -
=1/8+1/2
=(1+4)/8
=5/8
Combine back to form a complex fraction -
=(1/12)/(5/8)
Step 2: Multiply the numerator by the denominator's reciprocal, then divide the result by the denominator.
Step 3: Simplify the rational expression if necessary.
=(1/12)×(8/5)
=8/60
=2/15
Method 2: Take an example - [(2x+1)/(x^2-25)]/[(4x^2-1)/(x-5)]
Step 1 - Divide the LCD of the smaller fractions by the numerator and denominator of the total complex fractions.
(x^2-25)=(x+5)(x-5)
The denominator of the denominator’s fraction has the following factor -
(x-5)
Using the highest exponent and combining all the other factors, we arrive at the LCD shown below for all the little fractions -
(x+5)(x-5)
By multiplying the LCD by the numerator and denominator -
=[{(2x+1)/(x+5)(x-5)}×(x+5)(x-5)]/[{(2x+1)(2x-1)/(x-5)}×(x+5)(x-5)]
=(2x+1)/(2x+1)(2x-1)(x+5)
Step 2 - Simplify the rational expression if necessary.
=(2x+1)/(2x+1)(2x-1)(x+5)
=1/(2x-1)(x+5)
Therefore, there are two methods to solve complex fractions.
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A gym subscription runs several promotions. Customers can choose from the following deals.
Option A: 25% off an annual subscription of $308.00
Option B: pay $29.00 per month
What is the difference between the two price options customers will pay annually?
Answers
The difference between the two price options is $117.
What is the price difference?After a 25% off, the annual subscription in option A would be lower.
Price after the 25% off = initial annual subscription x (1 - discount/100)
$308 x (1 - 25/100)
$308 x (1 - 0.25)
$308 x 0.75 = $231
Annual fee with option B = cost per month x 12
$29 x 12 = $348
Price difference = $348 - $231 = $117
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Which math PROPERTY is this? If 12 = 17 - 5, then 17 - 5 = 12
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
Tip: The symmetric property of equality states that no matter what side the equations and answer are it will still be equal, but it only works for the equal sign.
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
What is Number system?A number system is defined as a system of writing to express numbers.
Given that 12 = 17 - 5, then 17 - 5 = 12
we need to check which property will be used.
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
The symmetric property of equality is really quite simple. This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement.
Hence, the math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
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1. Identify the equation that has the same slope as the points (0, -3) and (-1, 1)
1. y= 3x+2
2. y= -4x-3
3. y= x+1
4. y= -x+2
Answers
Answer:
2. y= -4x-3
Step-by-step explanation:
y=mx+b
slope :m
(0,-3) : m.0+b=-3 => b=-3
(-1,1) : m.1+b= 1 => m=-4
I need an answer for this fasttt
Answers
Answer:
Step-by-step explanation:
what this means help
Answers
Answer:
1 is -2 and 2 is +5
Step-by-step explanation:
Its how Mafia
For example: -9 is the opposite of positive 9
And positive 2 is the opposite of -2
The answer of this problem is -2 and positive 5
An investigative reporter uncovered systematic data falsification in the 1998 publication. Most notably, the timing of first autistic symptoms was shortened from months to days for some children, and it was even reversed for some of the other children (these children actually had diagnosed symptoms before being vaccinated). Also, claims that the lab tests showed inflammation of the colon were actually made up. Since 1998, numerous studies have been conducted worldwide and none has found a link between autism and the MMR vaccine or any of its components.
Select the correct description concerning the strength of the evidence for a causal link between MMR vaccination and autism in children in light of this additional information.
a. This additional information does not affect the strength of the evidence for a causal link between the MMR vaccination and autism in children.
b. This additional information casts doubt upon the strength of the evidence for a causal link between the MMR vaccination and autism in children.
c. This additional information casts doubt upon the strength of the evidence for a causal link between the MMR vaccination and inflammation of the colon in children.
d. This additional information does not affect the strength of the evidence for a causal link between the MMR vaccination and inflammation of the colon in children.
Answers
The evidence for the causal link between the MMR vaccine and autism in children is now much weaker than it was before, and this additional information supports the conclusion that there is no causal link between the two.
The answer is option (b) This additional information casts doubt upon the strength of the evidence for a causal link between the MMR vaccination and autism in children. What is the MMR vaccine? The MMR vaccine is a combined vaccine that protects against three infectious diseases: measles, mumps, and rubella.
In recent years, there has been a lot of speculation and false claims about the safety of this vaccine, with some claiming that it is linked to the development of autism in children. The claim that the MMR vaccine causes autism is a myth. There is no scientific evidence to support this claim, and numerous studies conducted worldwide have found no link between the two.
What is the strength of the evidence for a causal link between MMR vaccination and autism in children?An investigative reporter uncovered systematic data falsification in the 1998 publication. Most notably, the timing of first autistic symptoms was shortened from months to days for some children, and it was even reversed for some of the other children (these children actually had diagnosed symptoms before being vaccinated).
Also, claims that the lab tests showed inflammation of the colon were actually made up. Since 1998, numerous studies have been conducted worldwide and none has found a link between autism and the MMR vaccine or any of its components. This additional information casts doubt upon the strength of the evidence for a causal link between the MMR vaccination and autism in children.
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LAST QUESTION please just help me out please
Answers
999-
An article published in the Washington Post claims that 45 percent of all Americans have brown eyes. A random sample of =80 college students students found 30 who had brown eyes.
Answers
Answer:
a. -1.35
b. 0.177016
Step-by-step explanation:
According to the question, following data is given
Brown eyes american percentage is 45
Random sample be 80 out of which 30 had brown eyes
Based on the above information
The computation is shown below:
a. The proportion of the sample is
\(\bar p = \frac{30}{80}\\\\= 0.375\)
The z value is
\(z = \frac{\bar p - p }{\sqrt{\frac{p(1 - p)}{n} } } \\\\\frac{0.375-0.45 }{\sqrt{\frac{0.45(1 - 0.45)}{80} } }\)
= -1.35
b Now the P value is
As z comes -1.35
So, there is a two tailed p value i.e. 0.177016
Write an inequality for the situation: the sum of two numbers is less than 5.
Answers
The figure below shows two pair of congruent triangles. ΔDEF ≅ ______. ΔWXY ΔWYX ΔYWX ΔYXW
Answers
Answer:
YXW
Step-by-step explanation:
Answer:
YXW
Step-by-step explanation:
what is the answer to 9+(-3)+-2
Answers
Answer:
Step-by-step explanation:
9 + (-3) + (-2) = 9 + (-5) = 4
Answer:
It is 4
Hope to get a brainliest
Thank u have a good day!
EASY POINTS! BRAINLIEST
Answers
Answer:
The answer is -8 and 8
A 2-pound bag of potatoes costs $0.96. What is the price per ounce?
Answers
Answer:
.03
Step-by-step explanation:
1 pound = 16 ounces 2 pounds is 32
and 96/32 is 3
Answer:
$.03 per ounce
Step-by-step explanation:
1 pound = 16 ounces
2 pounds = 32 ounces
Take the price and divide by the number of ounces
.96 / 32 ounces
.03 per ounce
In the figure below, mZA = 68° and m4B = (6x + 4)°.
If ZA and ZB are supplementary angles, which equation represents their relationship, and what is the value of x?
O A. 68 + (6x + 4) = 180
X = 18
O B. 68 + (6x + 4) = 90
X = 27
O C. 68 + (6x + 4) = 90
X=3
O D. 68 + (6x + 4) = 180
x = 42
Answers
The equation representing the relationship between ZA and ZB is 68 + (6x + 4) = 180, and the value of x is 18. Therefore, the correct answer is option A.
Since ZA and ZB are supplementary angles, their sum is equal to 180 degrees. Given the information in the question, we can create an equation representing their relationship using the provided angle measures: mZA = 68° and mZB = (6x + 4)°.
To set up the equation, we add the measures of the two angles and set their sum equal to 180 degrees:
68 + (6x + 4) = 180
Now, we can solve the equation to find the value of x:
1. Combine like terms on the left side of the equation:
68 + 6x + 4 = 180
2. Simplify by adding 68 and 4:
72 + 6x = 180
3. Subtract 72 from both sides of the equation to isolate the term with x:
6x = 108
4. Divide both sides by 6 to find the value of x:
x = 18
The equation representing the relationship between ZA and ZB is 68 + (6x + 4) = 180,
and the value of x is 18. Therefore, the correct answer is option A.
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Find the length of one side of a square inscribed in a circle that has a radius of 4 cm.
Answers
The length of one side of a square = 8 cm
To find out the length of one side of a square that is inscribed in a circle that has a radius of 4 cm:
Since the square is inscribed in the circle, a diagonal
of the square is a diameter of the circle.
The diameter of the circle = 2 x radius = 8 cm .
The diagonal of the square = 8 cm.
The diagonal of a square is (length of a side) x (√8).
Side x √8 = 2√2 cm
Divide each side by √2:
Side = 8 cm / √2 = 8 √2 / √2 = 8 cm.
Hence the answer is the length of one side of a square = 8 cm
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The formula for the speed of a tsunami in deep water is v=gh−−√ , where g is acceleration due to gravity, 9.8 m/s2 , and h is the depth of the ocean in meters. Use this formula to estimate the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.
Answers
Answer:
v = 200 m/s
Step-by-step explanation:
The formula for the speed of a tsunami in deep water is given by :
\(v=\sqrt{gh}\)
Here,
g is acceleration due to gravity
h is the depth of the ocean in meters.
We need to find the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.
It means we need to find v if h = 4000 m
So,
\(v=\sqrt{10\times 4000}\\\\v=200\ m/s\)
So, the speed of the tsunami is 200 m/s.
SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!
Answers
X^2-11=-7
X^2=4
X=2 (4 was reduced to 2 after the equation was square rooted)
Pls give brainliest so close to ranking up
X=3/2 and x=-5/4 what is x?
Answers
Answer:
x = 1.5
x = -1.25
Step-by-step explanation:
Consider the function g(x)=^3√x+2
Which ordered pair lies on the inverse of the function?
(−1,−3)
(−4,−1)
(3, 1)
(0,−1)
Answers
The ordered pair that lies on the inverse of the function is (-1, -3)
Which ordered pair lies on the inverse of the function?From the question, we have the following parameters that can be used in our computation:
g(x)=^3√x+2
Rewrite as
g(x) = ∛(x + 2)
Next, we test the options
Set x = -3
So, we have the following representation
g(-3) = ∛(-3 + 2)
Evaluate the expression
g(-3) = -1
As an ordered pair, we have (-1, -3)
So, the ordered pair of teh inverse is (-1, -3)
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Answer: -1,-3
Step-by-step explanation:
A lawn mowing company is trying to grow it’s buisness. It had 30 clans when it started its buisness and wants to increase by 6 new clients each week. Use ab arithmetic sequence to write a function to represent the real world situation and determine the range of the function for the first four weeks of data.
Answers
Answer:
f(x) = 6x + 30;30≤ y ≤ 66
Step-by-step explanation:
Answer:
54 clients after 4 weeks
y=6x+30
Step-by-step explanation:
so when it first started it had 30 clients
we can take the total number of clients in the end(when the business is closed) as "y" and the number of weeks as "x"
so
since 6 new customers come per week we can take it as 6x
since it started with 30 clients we can write the equation as
y(total amount of customers)=6x+30
so
y=6x+30
for first four weeks:
y=6(4)+30
y=24+30
y=54
54 clients total after 4 weeks
hope this helps
Delia can buy 3 sweatshirts for a total of $39. How much would it cost if she were to buy 7 sweatshirts?
Answers
Answer:
7 sweatshirts costs $91
Step-by-step explanation:
Well, first we have to find how much each sweatshirt costs alone. The sweatshirts are $13 each. So, if we multiply 13 by 7, you'll get the amount that 7 sweatshirts costs.
I'm 97% sure this is correct
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i F 49x ²b = (7x +1/2)(7x-1/2)
then Find the value b.
Answers
Answer:
0
Step-by-step explanation:
Apply Only the Outside and Inside Method of the Foil Method.
\(7 \times - \frac{1}{2} = - 3.5x\)
\( \frac{1}{2} \times 7x = 3.5x\)
Add them together
\( - 3.5x + 3.5x = 0\)
So our b value is 0.