Answer:
16 tons
$9108
Step-by-step explanation:
Let t = number of tons.
First company:
cost = 100.5t + 7500
Second company:
cost = 175.75t + 6296
At what number of tons are the costs equal?
We set the two cost equations equal and solve for t.
175.75t + 6296 = 100.5t + 7500
75.25t = 1204
t = 16
The costs are equal for 16 tons.
The cost for 16 tons is:
cost = 100.5t + 7500
cost = 100.5(16) + 7500
cost = 9108
At 16 tons, the cost is $9108
Which of the following could be used to isolate the variable in the equation 9x = 14?
A. Add - 14 to both sides.
B. Divide both sides by
C. Multiply both sides by S.
D. Subtract 8x from both sides.
Answer:
Divide both side by 9
Step-by-step explanation:
whats 3 x 3-78? i cant figure it out.
Answer:
the answer -69
Step-by-step explanation:
3 times 3 is 9
9 - 78 is - 69
Answer:
The answer should be -69
Step-by-step explanation:
With this equation you would use PEMDAS, so you would multiply before you subtract. 3 x 3 = 9 9 - 78 would be -69
A researcher is testing the effects of a new high-fiber diet on cholesterol. She selects 40 patients with high cholesterol and randomly selects half to follow the new diet. The remaining patients follow the original diet. The researcher measures the participants' cholesterol once per month. What are the treatments?
The treatments by the researcher are:
The new high-fiber diet and original diet
What are the treatments in a research?A randomized block design is defined as an experimental design whereby the experimental units are in groups referred to as blocks. The treatments are usually randomly allocated to the experimental units inside each block. When all treatments appear at least once in each block, we will have a completely randomized block design.
Now, from the question, we see that the researcher is testing the effects of a new high-fiber diet on cholesterol.
We also see that half are being tested on the original diet.
Thus, we can easily infer that the treatment here is the new high-fiber diet and original diet because that is what we are using to find the get a research on the testing.
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13. Zahra likes to go rock climbing with her friends. In the past, Zahra has climbed to the top of the
wall 7 times in 28 attempts. Determine the odds against Zahra climbing to the top.
A. 3:1
B. 4:1
C. 3:11
D. 3:4
Answer:
the odds against Zahra climbing to the top are,
B. 4:1
Step-by-step explanation:
Since she has climbed 7 times in 28 attempts,
the probability of a successful climb is,
P = 7/28
P = 1/4
So, the odds against Zahra climbing to the top are 4:1
If a square's area is 110. What is the length of one side?
(20 Points)
Answer:
27.5
Step-by-step explanation:
Well for me i would divide 110 by 4 because there are 4 sides and that will be your answer
Pleaseeeee help urgent!
The values of the trigonometric ratios sec θ and cot θ are:
sec θ = -13/12
cot θ = 12/5
How to use Trigonometric ratios?There are three main trigonometric ratios which are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
We are told that sin θ = -5/13
Using Pythagoras theorem, we have that:
Adjacent side = √(13² - 5²)
Adjacent side = √144 = 12
Thus:
cos θ = -12/13
sec θ = 1/cos θ
Thus:
sec θ = 1/(-12/13)
sec θ = -13/12
1/ tan θ = cot θ
tan θ = sin θ/cos θ
tan θ = (-5/13)/(-12/13) = 5/12
cot θ = 1/(5/12) = 12/5
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If you run 100 meters in 10 seconds, what is your average speed
Answer:
Yeah it's 10
Step-by-step explanation:
100/10=10
Write the equation of a line in slope intercept form that passes through
the points (6,5) and (9,2).
Answer:
run/rise
3/-3
meaning you run to the left 3 times and go down 3 times
hope that helps
Answer:
Y = - 1x + 11
Step-by-step explanation:
M = y2 - y1/ x2 - x1
Find f(-2) for f(x) = 2 x 3x
O A. -18
O B. 2/9
O c. 1/18
O D. -36
Step-by-step explanation:
f(x) = 2 x 3x
2 x 3x
2 (-2) 3(-2)
-4-6=-10
Step-by-step explanation:
f(x)=2 x 3x
2 x 3x
2(-2) 3 (-2)
-4 - 6 = -10
in the _____ theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.
The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.
The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.
According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.
Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.
The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
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he figure is rotated counterclockwise. Which rotation could have taken place?
a 45° rotation
a 90° rotation
a 135° rotation
a 225° rotation
Answer:
a 90° rotation
I'm not sure about answer...
Using the line AB, name two line segments.
1. AB, CB
2. AB, C
3. CB, B
4. A, B
When can a correlation coefficient based on an observational study be used to support a claim of cause and effect?
Never
When the correlation coefficient is close to -1 or +1.
When the correlation coefficient is equal to -1 or +1.
When the scatterplot of the data has little vertical variation.
A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect. The correct answer is A: never.
Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.
To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.
Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.
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A local hamburger shop sold a combined total of 817 hamburgers and cheeseburgers on Friday. There were 67 more cheeseburgers sold than hamburgers. How
many hamburgers were sold on Friday?
hamburgers
The number of hamburgers sold on Friday was 442.
Let us form the linear equation to find the number of burgers;
Let the cheeseburger be represented by x.
Since there were 67 more cheeseburgers sold than hamburgers. This means that hamburgers will be:
The number of hamburgers = x + 67.
Since the local hamburger shop sold a combined total of 817 hamburgers and cheeseburgers. This will be:
x + x + 67 = 817
2x + 67= 817
2x = 817 - 67
2x = 750
x = 750 / 2
x = 375
So, 375 cheeseburgers were sold on Friday.
Therefore, the number of hamburgers sold will be:
= 817 - 375
= 442
Thus, the number of hamburgers sold on Friday was 442.
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Which set of ordered pairs could be generated by an exponential function?
O
(-1.-2). (0,0). (1.).
, (2, 1)
O (-1,-1), (0, 0), (1, 1), (2,8)
0 (-1,2), (0, 1).
(0, 1), (1, 2), (2, 4)
O (-1, 1), (0, 0), (1, 1), (2, 4)
The set of ordered pairs that could be generated by an exponential function is (−1, 1/2), (0, 1), (1, 2), (2, 4)
which corresponds to an exponential function with a base of 2.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
An exponential function is a function of the form.
f(x) = a\(b^x\),
where a and b are constants and b is greater than 0 and not equal to 1.
Now,
To determine which set of ordered pairs could be generated by an exponential function,
We need to check whether the y-values follow the exponential growth.
Let's check each set of ordered pairs one by one:
- (-1,-1/2), (0,0), (1,1/2), (2,1)
The pattern of y-values is not exponential growth or decay, so this set of ordered pairs could not be generated by an exponential function.
- (-1,-1), (0,0), (1,1), (2,8)
The y-values are growing exponentially with a base of 2. We can write the function as f(x) = \(2^x\).
When x = -1, f(x) = \(2^{-1}\) = 1/2, which matches the first ordered pair.
When x = 0, f(x) = \(2^0\) = 1, which matches the second ordered pair.
When x = 1, f(x) = \(2^1\) = 2, which matches the third ordered pair.
When x = 2, f(x) = 2² = 4, which does not match the fourth ordered pair.
So this set of ordered pairs could not be generated by an exponential function.
- (-1, 1/2), (0,1), (1,2), (2,4)
The y-values are growing exponentially with a base of 2.
We can write the function as f(x) = \(2^x\).
When x = -1, f(x) = \(2^{-1}\) = 1/2, which matches the first ordered pair.
When x = 0, f(x) = \(2^0\) = 1, which matches the second ordered pair.
When x = 1, f(x) = \(2^1\) = 2, which matches the third ordered pair.
When x = 2, f(x) = 2² = 4, which matches the fourth ordered pair.
So this set of ordered pairs could be generated by an exponential function.
- (-1,1), (0,0), (1,1), (2,4)
The y-values are growing exponentially with a base of 2. We can write the function as f(x) = \(2^x\).
When x = -1, f(x) = \(2^{-1}\) = 1/2, which does not match the first ordered pair.
So this set of ordered pairs could not be generated by an exponential function.
Therefore,
The set of ordered pairs that could be generated by an exponential function is (−1, 1/2), (0, 1), (1, 2), (2, 4)
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Answer this question and show me how to check it
In order to rewrite these values in the standard form, let's calculate the product with the power of 10 from each number.
For the length, we have:
\(\begin{gathered} 8\cdot10^4 \\ =8\cdot10000 \\ =80000\text{ meters} \end{gathered}\)For the thickness, we have:
\(\begin{gathered} 5\cdot10^{-6} \\ =5\cdot0.000001 \\ =0.000005\text{ meters} \end{gathered}\)How do you solve e^x = 0?
The equation e^x = 0 has no solution in real numbers.
This is because e^x is always positive for any real value of x, and there is no real number that is equal to 0.
To see why e^x is always positive, recall that e is a positive constant (approximately 2.71828) and x is any real number. When x is positive, e^x is a positive number, since e raised to any positive power is positive. When x is negative, e^x is a positive fraction, since e raised to any negative power is a positive fraction (i.e., a number between 0 and 1).
Therefore, the equation e^x = 0 has no real solution. If you were to solve this equation in a complex number system, you would find that the solution is x = ln(0) + i2npi, where n is an integer and i is the imaginary unit. However, in the real number system, the equation has no solution.
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5-Gioup of acievints with a commatid inforination. 9. Traatactions are jocmalsens ased poeted by have Tourmal Entries 1. Purchayed oqfice equipewent for \( \$ 15000 \) paying 54000 in eask and tigming
Journal Entry for the purchase of office equipment:
Debit Office Equipment for $15,000Credit Cash for $4,000Credit Notes Payable for $11,000What is the journal entry for the purchase of office equipment ?The purchase of equipment results in a debit to the asset section of the balance sheet. The credit is based on what form of payment you use as the customer.
Data:
Total cost of office equipment = $15,000Amount paid in cash = $4,000Remaining amount on the note:
= Total cost - Cash paid
= $15,000 - $4,000
= $11,000
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the endpoints of the diameter of a circle have the coordinates (3,8) and(9,16) what are the coordinates of the center
60 Points
A spinner is divided into 8 equally sized regions. The regions are numbered with consecutive multiples of 10, beginning with 20. The spinner is spun 80 times.
How many spins are expected to show a multiple of 3?
1. Determine which numbers on the spinner are multiples of 3
2. Determine the probability of a spin showing a multiple of 3
3. Use the probability to find how many spins out of 80 will result in a multiple of 3
1. The multiples of 3 are 30, 60, and 90.
2. The probability is 3/8, as there are 3 multiples of 3 out of 8 total numbers on the spinner.
3. the expected number of spins showing a multiple of 3 is (3/8) * 80 = 30.
To determine how many spins are expected to show a multiple of 3, we need to follow these steps:
1. Determine which numbers on the spinner are multiples of 3:
The numbers on the spinner are consecutive multiples of 10, beginning with 20. To find the multiples of 3, we need to look for numbers that are divisible by 3. Starting from 20, we have 20, 30, 40, 50, 60, 70, 80, and 90. Out of these numbers, the multiples of 3 are 30, 60, and 90.
2. Determine the probability of a spin showing a multiple of 3:
Since the spinner has 8 equally sized regions, the probability of spinning a multiple of 3 is the number of favorable outcomes (multiples of 3) divided by the total number of possible outcomes. In this case, the probability is 3/8, as there are 3 multiples of 3 out of 8 total numbers on the spinner.
Use the probability to find how many spins out of 80 will result in a multiple of 3:
3. To find the expected number of spins that will result in a multiple of 3, we multiply the probability by the total number of spins. Therefore, the expected number of spins showing a multiple of 3 is (3/8) * 80 = 30.
In conclusion, based on the given information, we can expect around 30 out of the 80 spins to show a multiple of 3 on the spinner.
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assume z is a standard normal random variable. then p(1.41 < z < 2.85) equals . a. .4772 b. .3413 c. .8285 d. .0771
The value of P(1.41 < Z < 2.85) is 0.0771.
Hence, the correct answer is d.
A normally distributed random variable with mean μ= 0 and standard deviation σ= 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.
Because the Standard Normal Distribution is a probability distribution, the area under the curve between two points indicates the likelihood that variables will take on a range of values.
The whole area under the curve is one, or one hundred percent.
The mean and variance of a normal distribution are governed by two factors.
A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.
The probability that a standard normal random variable Z is between 1.41 and 2.85 can be found using a standard normal table with a standard normal cumulative distribution function.
The answer is approximate:
P(1.41 < Z < 2.85)
= P(Z < 2.85) - P(Z < 1.41)
= 0.9927 - 0.9185
= 0.0742
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used to have a square garage with 296 ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answer:
230 ft
Step-by-step explanation:
Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 0.25, find tan ∠A. tan ∠A =
The solution of the given problem of triangle comes out to be tan ∠A = 0.25.
What exactly does a triangle mean?Triangles are called polygons if they have four quadrants or more. Its form is a simple geometric figure. When put together, the characters ABC create a right-angled triangle. When the boundaries are incompatible, Euclidean geometry generates a new rectangle with square corners. Triangles are regarded as polygons because they have three edges and three corners.
Here,
Since △ABC is a right triangle with m∠C = 90°, we know that m∠A + m∠B = 90°.
Using the fact that tan ∠B = opposite/adjacent, we can set up a ratio using a common factor, x, for the opposite and adjacent sides of ∠B:
tan ∠B = 0.25 = opposite/adjacent = x/4x
Simplifying the right side, we get:
0.25 = x/4x = 1/4
Multiplying both sides by 4x, we get:
x = 4
So the opposite side of ∠B has length x = 4, and the adjacent side has length 4x = 16.
Using the Pythagorean theorem, we can find the length of the hypotenuse of △ABC:
c² = a² + b²
c² = 4²+ 16²
c² = 256
c = √256
c = 16
Now, we can use the fact that tan ∠A = opposite/adjacent to find tan ∠A:
tan ∠A = opposite/hypotenuse = 4/16 = 1/4
Therefore, tan ∠A = 0.25.
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Please Answer Correctly To Get Brainliest. Wrong Answers WILL BE REPORTED.
Answer:
10 is a real, rational, integer, whole and natural number,
5/6 is a rational number ,
24sqrt is irrational number,
0 is a real, rational, integer, whole and natural number ,
and
-81sqrt is a real, rational, integer, whole, and natural number.
Hope you have a nice day!
Determine the x-intercept of the following equation.
(-x-2)(x-3)=y
Answer:
3,-2
Step-by-step explanation:
set y =0 and solve
(-x-2)(x-3)=0
the values 3, -2 solve the equation and are your x-intercepts
A store pays $37 for a tv stand Store marks up the price by 20 %. What is the new price?
Answer:
$44.4.
Step-by-step explanation: To find the new price, we would simply perform "37 + 20%" yielding 44.4, or forty four dollars and 40 cents. Hope this answered your question.
Answer: 44.4
Step-by-step explanation:
To calculate the original price of a discounted or sale item, you need to know the sale price and the discount percentage. The calculations include a simple formula that divides the sale price by the result of 1 minus the discount in percentage form. Use this formula to calculate the original or list price of an item.
$5,200 at 3% for 7 yearswhat is the simple interest?what is the total amount? hey mr or ms we need your help:)
simple interest = $1092
Total amount = $6292
Explanation:Principal = $5200
rate = 3% = 0.03
time = 7 years
Applying simple interest formula:
\(\begin{gathered} I\text{ = PRT} \\ \text{where I = interest} \\ I\text{ = P}\times R\times T \end{gathered}\)I = 5200 × 0.03 ×7
I = $1092
simple interest = $1092
We are to find total amount after getting the interest:
Amount = principal + interest
Amount = $5200 + $1092
Amount = $6292
A book falls from a shelf. Which action, if taken before the book fell, would have increased the maximum speed of the falling book?
Select one:
A) Adding pages to the book.
B) Moving the book to a lower shelf.
C) Ripping pages out of the book.
D) Moving the book to a higher shelf.
Answer:
D) Moving the book to a higher shelf.
Step-by-step explanation:
more height
speed is the same because of gravity
Increase falling book speed.
Answer: Moving the book to a higher shelf.
Moving the book to a higher shelf would increase the maximum potential energy of the book.
This increase in potential energy would result in a higher velocity as the book falls due to the conservation of energy principle.
Adding pages to the book or ripping pages out of the book would not affect the maximum speed of the falling book.
The formula for potential energy is PE = mgh, where m is the mass of the book, g is the acceleration due to gravity, and h is the height of the shelf.
The maximum speed of the falling book can be calculated using the formula v = sqrt(2gh), where v is the velocity of the falling book.
Analogy: Just like a person sliding down a slide would gain more speed if they start from a higher point, a book falling from a higher shelf will also gain more speed than one falling from a lower shelf.
Summary: Moving the book to a higher shelf would increase the maximum speed of the falling book.
Math:
PE = mgh
v = sqrt(2gh)
In the equations PE = mgh and v = sqrt(2gh):
P represents potential energy, measured in joules (J).
m represents the mass of the object, measured in kilograms (kg).
g represents the acceleration due to gravity, which is approximately 9.8 meters per second squared (m/s^2) on Earth.
h represents the height of the object above a reference point, measured in meters (m).
v represents the velocity of the object, measured in meters per second (m/s).
···
ChatGPT
How many cubic inches are in 3.0 gallons? (Check the 2^nd reference page, and be mindful of significant figures) Answer: 693
There are 693 cubic inches in 3.0 gallons.
To find the number of cubic inches in 3.0 gallons, we need to use a conversion factor.
One gallon is equal to 231 cubic inches (according to the US system of measurement), so we can set up the following proportion:
1 gal / 231 in³ = 3 gal / x
Solving for x, we can cross-multiply and get:
x = (3 gal)(231 in³ / 1 gal)
x = 693 in³
Therefore, there are 693 cubic inches in 3.0 gallons.
Since the original measurement has only one significant figure (3), the final answer should also have only one significant figure (693).
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Which of the lines below has a negative slope?
A. Line A
B. Line B
C. Line C
D. Line D
Answer:
A
Step-by-step explanation: