Answer:
AC = 19
Step-by-step explanation:
A__C__S
AS = AC + CS
6x -4 = (4x-1) + 7
6x - 4 = 4x + 6
6x - 4x = 6+ 4
2x = 10
x = 10/2
x = 5
AC = 4x -1 = 4(5) - 1 = 20 - 1 = 19
I hope I helped you^_^
Answer:
19
Step-by-step explanation:
AS = AC + CS
6x - 4 = 4x -1 +7
6x - 4 = 4x + 6
Add 4 to both sides,
6x = 4x + 6 + 4
6x = 4x + 10
Subtract 4x from both sides
6x- 4x = 10
2x = 10
Divide both sides by 2
x = 10/2
x = 5
AC= 4x - 1
= 4*5 - 1
= 20 - 1
= 19
How do you find 15% of 160?
What is the image of (3,-6) after a dilation by a scale factor of 4 centered at the origin?
Answer:
7,-10
Step-by-step explanation:
Which value of n makes the equation true? -1/2n = -8
A.) -16
B.) -4
C.) 4
D.) 16
Answer:
D
Step-by-step explanation:
When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.
Answer:
D.) 16
Step-by-step explanation:
Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
If you wanted to replicate a study as closely as possible, which part of a research article would provide you with the most details about how the data was collected
When you want to replicate a study as closely as possible, the Methodology section of a research article would provide you with the most details about how the data was collected.
the instruments used to collect the data, the sampling method, and the procedures employed during data collection. In most research articles, the methodology section can be found after the introduction section.
It includes information on the data collection techniques used, including the type of research design, the sampling technique, data collection instruments, and the procedures used to collect the data.
.In summary, if you want to replicate a study as closely as possible, you should carefully examine the methodology section of the research article. This section contains a detailed account of how the data was collected, analyzed, and interpreted in the study.
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Mr. Holmes has been getting his Master's in Education from Dowling College and has just heard the news: due to low enrollment, Dowling College will be closing! Because of this, there will be a sale at the campus bookstore and everything is 30% off. If he buys a hat with an original price of $25.00, he believes that the price will be $7.50. When he gets to the register however, the cashier tells Mr. Holmes that he owes $17.50. Who do you think is correct, Mr. Holmes or the cashier?
Answer:
cashier
Step-by-step explanation:
the discount is $7.50
Write the word sentence as an equation. Then solve. A number divided by -9 is -16.
Answer:
X÷-9=-16 x=144
A 90% confidence interval for the mean of a population is computed to be 135 to 160. Which one of the following claims would the interval tend to refute?A. The population mean is more than 110.B. The population mean is less than 150.C. The population mean is between 140 and 150.D. The population mean is more than 140.E. The population mean is less than than 125.
Therefore, the only claim that the interval would tend to refute is option E: The population mean is less than 125.
Based on the 90% confidence interval of 135 to 160, we can conclude that the population mean is likely to be within this interval with a 90% degree of confidence.
A. The claim that the population mean is more than 110 is not refuted by the confidence interval since the lower limit of the interval is above 110.
B. The claim that the population mean is less than 150 is not refuted by the confidence interval since the upper limit of the interval is above 150.
C. The claim that the population mean is between 140 and 150 is not refuted by the confidence interval since both values are within the interval.
D. The claim that the population mean is more than 140 is not refuted by the confidence interval since the lower limit of the interval is above 140.
E. The claim that the population mean is less than 125 is refuted by the confidence interval since the lower limit of the interval is above 125.
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The total cost (in dollars) of producing x food processors is C(x)=1900+60x−0.3x^2
(A) Find the exact cost of producing the 31st food processor.
(B) Use the marginal cost to approximate the cost of producing the 31st food processor.
A) The exact cost of producing the 31st food processor is $3771.70. B) Using the marginal cost, the approximate cost of producing the 31st food processor is $3741.40.
(A) To find the exact cost of producing the 31st food processor, we substitute x = 31 into the cost function C(x) = 1900 + 60x - 0.3x^2:
C(31) = 1900 + 60(31) - 0.3(31)^2
C(31) = 1900 + 1860 - 0.3(961)
C(31) = 1900 + 1860 - 288.3
C(31) = 3771.7
Therefore, the exact cost of producing the 31st food processor is $3771.70.
(B) The marginal cost represents the rate of change of the cost function with respect to the quantity produced. Mathematically, it is the derivative of the cost function C(x).
Taking the derivative of C(x) = 1900 + 60x - 0.3x^2 with respect to x, we get:
C'(x) = 60 - 0.6x
To approximate the cost of producing the 31st food processor using the marginal cost, we evaluate C'(x) at x = 31:
C'(31) = 60 - 0.6(31)
C'(31) = 60 - 18.6
C'(31) ≈ 41.4
The marginal cost at x = 31 is approximately 41.4 dollars.
To approximate the cost, we add the marginal cost to the cost of producing the 30th food processor:
C(30) = 1900 + 60(30) - 0.3(30)^2
C(30) = 1900 + 1800 - 0.3(900)
C(30) = 3700
Approximate cost of producing the 31st food processor ≈ C(30) + C'(31)
≈ 3700 + 41.4
≈ 3741.4
Therefore, using the marginal cost, the approximate cost of producing the 31st food processor is $3741.40.
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how do i solve reflections
\(how \: do \: i \: solve \: reflection\)
Answer:\(reflection \: a \: geometric \: transformation \: resulting \: in \: a \: mirrior \: image. \: in \: a \: reflection \: a \: shape \: is \: flipped \: over \: a \: mirrior \: line \: or \: line \: of \: reflection \: to \: face \: the \: opposite \: direction.\)
8. Amy is flying a kite. Her kite is flying 45 ft above the ground, and the string makes a 35°angle with the ground. How long is the string?
Round to the nearest HUNDREDTH. (0.01)
Note: This is a trigonometry question
Answer:
Check pdf
Step-by-step explanation:
Solve the following.
Answer:
Step-by-step explanation:
The scale factor is 5.3 repeating. So I divided 24 by 5.33333333333333333 and got 4.5. I don't know if it's accurate since it's a reapeating decimal but it's close enough. Then I multiplied 2 by 5.3333333333333333333333 and got 10.6666667.
You deposit $1500 in an account earning 10.9% interest. Calculate the simple interest earned in 8 months.
Given:
Principal balance = P = $1,500
Annual interest rate = r = 10.9%
Time (in years) = 8 months = 8/12 = 2/3 years
For us to be able to determine the simple interest earned, we will be using the following formula:
\(\text{ Simple Interest = SI = }\frac{\text{PRT}}{100}\)We get,
\(\text{ SI = }\frac{(1,500)(10.9)(\frac{2}{3})}{100}\text{ = }\frac{10,900}{100}\)\(\text{SI = \$109}\)Therefore, the simple interest earned in 8 months will be $109.
I didn't understand it please help
Answer:
C. -10
Step-by-step explanation:
(7+3)(7-8)
10 x -1
-10
Answer:
c -10
Step-by-step explanation:
use BODMAS
B BRACKETS
O OF
D DIVISION
M MULTIPLICATION
A ADITION
S SUBSTRACTION
7+3= 10
7-8= -1
10 * -1 = -10
Hence proved ........
the mandible is moving and the cusp "moving" with the arrow is in the
The mandible is moving and the cusp "moving" with the arrow is in the either the working or rotating side, while the other side is referred to as either the balancing or orbiting side.
Given that;
The mandible is moving and the cusp "moving" with the arrow is in the ?
Now, We know that;
The side of the mandible that moves sideways is referred to as either the working or rotating side, while the other side is referred to as either the balancing or orbiting side.
Thus, The mandible is moving and the cusp "moving" with the arrow is in the either the working or rotating side, while the other side is referred to as either the balancing or orbiting side.
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A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?
Answer:
\(\$ \ \dfrac{428}{500}x\)
Step-by-step explanation:
Regular price of a pair of shoes = $\(x\)
Discount offered = 20%
Amount of discount offered = 20% of $\(x\)
Discounted price = Regular price - Amount of discount
Discounted price = $\(x\) - 20% of $\(x\) = 80% of $\(x\) = \(\$ \frac{4}{5}x\)
Now, it is given that there is a sales tax of 7% as well on the price.
Sales tax is applied on the discounted price.
Therefore, sales tax = 7% of \(\$ \frac{4}{5}x\)
Final Price after applying the sales tax = \(\$ \frac{4}{5}x\) + 7% of \(\$ \frac{4}{5}x\)
\(\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x\)
\(\Rightarrow \$ \ \dfrac{428}{500}x\)
Therefore, the expression to represent the final price of the pair of shoes:
\(\$ \ \dfrac{428}{500}x\)
Choose the function whose graph is given by:
A. y = COS X + 2
B. y = sin x + 2
C. y = COS X + 1
D. y = cos(x + 1)
Answer:
Y=COS X+1
Step-by-step explanation:
The function whose graph is given by is y = cos x + 1.
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,
The graph of the function y = cos(x) + 1 can be understood by analyzing its two component functions:
cos(x) and 1.
The function cos(x) is a periodic function that oscillates between -1 and 1, with a period of 2π.
The graph of cos(x) is a smooth curve that has its maximum value at x = 0 and its minimum value at x = π (or x = -π).
The function 1 is a constant function that takes on the value of 1 for all values of x.
The graph of 1 is a horizontal line that extends infinitely in both directions along the x-axis.
When we add the two functions together, we get the function:
y = cos(x) + 1.
This function shifts the graph of cos(x) upward by 1 unit, so that it oscillates between 0 and 2, with a maximum value of 2 when cos(x) = 1 and a minimum value of 0 when cos(x) = -1.
The resulting graph of y = cos(x) + 1 is a periodic curve that oscillates above and below the horizontal line y = 1, with a period of 2π.
It has its maximum value of 2 when x = 2nπ (where n is an integer), and its minimum value of 0 when x = (2n + 1)π (where n is an integer). The graph is symmetric about the line y = 1, which is the horizontal asymptote of the function.
Thus,
The function whose graph is given by is y = cos x + 1.
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Relationship between the regression line and datapoints is
fairly weak
from your understanding about this graph describe with 200
words
When the relationship between the regression line and the data points is weak, it indicates a lack of strong association and highlights the need for further investigation and consideration of alternative explanations to better understand the underlying dynamics of the variables being studied.
When the relationship is weak, it implies that the data points are scattered and do not follow a clear pattern or trend. The variability in the data is high, making it difficult to establish a strong linear relationship. This could be due to various reasons, such as the presence of outliers, measurement errors, or the existence of other unaccounted factors influencing the variables.
The weak relationship between the regression line and the data points suggests that the predictive power of the regression model is limited. The regression line may not effectively explain or predict the values of the dependent variable based on the independent variable(s). Consequently, relying solely on the regression analysis to make accurate predictions or draw conclusions may be unreliable.
It is important to interpret the results cautiously and consider alternative explanations or additional variables that might contribute to the observed variability in the data. Further exploration and analysis may be needed to identify other potential factors that influence the relationship between the variables and to determine whether a different model or approach is more appropriate.
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Determine which relation is a function. Question 1 options: {(–3, 2), (–1, 3), (–1, 2), (0, 4), (1, 1)} {(–3, 2), (–2, 3), (–1, 1), (0, 4), (0, 1)} {(–3, 3), (–2, 3), (–1, 1), (0, 4), (0, 1)} {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}
Option d) {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)} is the correct answer.
A function is a mathematical relation that maps each element in a set to a unique element in another set.
To determine which relation is a function between the given options, we need to check whether each input has a unique output.
In option a), the input -1 has two outputs, 3 and 2, which violates the definition of a function.
In, Option b) has two outputs for the input 0, violating the same definition.
In, Option c) has two outputs for the input 0, but it also has two outputs for the input -2, which violates the definition of a function as well.
In, Option d) is the only relation that satisfies the definition of a function, as each input has a unique output. Therefore, Option d) is the correct answer.
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Celine surveyed 14 students at her school about their favorite professional sports. Of the students surveyed, 6 said tennis was their favorite sport. What is the experimental probability that the next student Celine talks to will pick tennis?
Answer:
3/7 (simplified)
Step-by-step explanation:
The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.
Philly population (2019) was 1,579,000 with a land area of 134.28 sqmiles.
pottstown population was 22,670 in 2019 with a land area of 4.85sq miles.
compare the densities.
show your work.
(will give u brainiest)
The population density of Philadelphia is approximately 11,761.76 people per square mile, while the population density of Pottstown is approximately 4,672.16 people per square mile.
To compare the densities of Philadelphia and Pottstown, we need to calculate the population density for each city. Population density is typically measured as the number of individuals per unit area.
For Philadelphia:
Population = 1,579,000
Land area = 134.28 sq miles
Population density = Population / Land area
Population density = 1,579,000 / 134.28
Population density \(^\sim_\sim\) 11,761.76 people per square mile
For Pottstown:
Population = 22,670
Land area = 4.85 sq miles
Population density = Population / Land area
Population density = 22,670 / 4.85
Population density \(^\sim_\sim\) 4,672.16 people per square mile
Therefore, the population density of Philadelphia is approximately 11,761.76 people per square mile, while the population density of Pottstown is approximately 4,672.16 people per square mile.
Comparing the two, we can see that Philadelphia has a higher population density compared to Pottstown.
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Please help, YOU WILL GET 50 POINTS
Answer:
i guess its linear pair type questions
i have done like this
What is the slope of the line perpendicular to the line with equation 4x-5y+13=0
Answer:
m = - 5/4
Step-by-step explanation:
If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1
We can write the equation
4*x - 5*y + 13 = 0
as: 5*y = 4*x + 13 or
y = (4/5)*x + 13 (1)
Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this the slope of a perpendicular line is
-5/4
Does anybody know how to solve this
Answer:
Question 11.1
At 7 : 00 pm in Sydney, it will be 10 : 00 pm in Berlin.
Question 11.2
Place | Time
Sydney | 5 : 00 pm
Berlin | 8 : 00 pm
It would be a good time for Mark and Hans to cha,t when it's 5 : 00 pm in Sydney and 8 : 00 pm in Berlin.
hope that helps ...
help what is 5+5 i need this `in 1 minit
Answer:
10
Step-by-step explanation:
I hope you remember this. 5+5=10
What is 1 1/3 as a percent pls?
Answer:
133.3333333333333333%
Step-by-step explanation:
never ending 3
Answer:133.3%
Step-by-step explanation:
there were x quarts of liquid in a con-tainer. first, 3 4 of the liquid in the container was removed. then another 1 2 quart was poured into the container. write an expression in terms of x for the number of quarts of liquid in the container at the end. then write another equivalent expres-sion.explain
The another equivalent expression of total liquid is (x+2)/4.
Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.
x quarts liquid in the container 3/4 part of liquid is removed
Then remaining liquid in container = X - \(\frac{3}{4}X\)
Then remaining liquid in container = x/4quarts
Another 1/2 quart is poured into container
Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts
total liquid = \(\frac{X+2}{4}\) quarts
So, then the another equivalent expression of total liquid is (x+2)/4.
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I got CONFUSED PLZ HELP?
Answer:
A, B, F
Step-by-step explanation:
To solve this, you look at the powers of x and take either the square root (if it is to a power of 2) or the cube root (if a power of 3) of both sides to isolate x. For the first equation, you take the square root of 48, so A is correct. For the second one, you take the square root of 63, so B is correct. For the final equation, you take the cube root of 73, so F is correct.
Answer:
\(x = \sqrt{48} \\\\x = \sqrt{63} \\\\x = \sqrt[3]{73}\)
Step-by-step explanation:
\(x^2 = 48\\x^2 = 63\\x^3 = 73\)
Solve for x
Equation 1 ;
\(x^2 =48\\\\Square\:root\:both\:sides\\\\\sqrt{x^2} =\sqrt{48} \\\\Simplified \:form;\\x =4\sqrt{3}\)
Equation 2;
\(x^2 =63\\\\Square\:root\:both\:sides\\\\\sqrt{x^2} =\sqrt{63} \\\\Simplified \:form;\\x =3\sqrt{7}\)
Equation 3 ;
\(x^3 =73\\\\Cube\:root\:both\:sides\\\\\sqrt[3]{x^3}= \sqrt[3]{73} \\\\x = \sqrt[3]{73}\)
a quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. suppose that 60% of the bulbs in the lot are defective. what is the standard deviation of the number of defective bulbs in the sample? round your answer to two decimal places.
The standard deviation of the number of defective bulbs in a sample of 11 light bulbs, where 60% are defective, is 1.53, rounded to two decimal places.
The number of defective bulbs in a sample of 11 light bulbs follows a binomial distribution with parameters n = 11 and p = 0.6, where n is the sample size and p is the probability of a defective bulb.
The standard deviation of the binomial distribution is given by the formula:
σ = sqrt(np(1-p))
where σ is the standard deviation, n is the sample size, p is the probability of success (defective bulb), and (1-p) is the probability of failure (non-defective bulb).
Substituting the values into the formula, we get:
σ = sqrt(11 * 0.6 * 0.4) = 1.53
Therefore, the standard deviation of the number of defective bulbs in the sample is 1.53, rounded to two decimal places.
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The decimal 132.64 written in expanded form is ______.
What is the slope of the line given by the equation below? y + 2 = -3(x - 5)
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation: