Answer:
D
Step-by-step explanation:
As you can observe from the pattern, the numerator gets multiplied by 4 every increase in the sequence.
So , clearly, the 5th term will be = \(\frac{64*4}{5} =\frac{256}{5}\)
and the 6th term will be = \(\frac{256*4}{5} =\frac{1024}{5}\)
Therefore , D will be the answer.
Marc eats an egg sandwich for breakfast and a big burger for lunch every day. The egg sandwich has 250 calories. If Marc has 5,250 calories for breakfast and lunch for the week in total, how many calories are in one big burger?
Answer: 5,000 calories
Step-by-step explanation:
Subtract both
a quality-control inspector examined 290 iphones and found 9 of them to be defective. at this rate, how many defective iphones will there be in a batch of 16,530 iphones?
The total number of defective iphones from a batch of 16,530 iphones is equal to 513 .
Total number of iphones examined by quality-control inspector =290
Total number of iphones in a batch = 16,530
Number of iphones defective out of 290 = 9
Let us consider x be the number of defective iPhones in the batch of 16,530 iPhones.
Use proportions to find out how many defective iPhones there will be in a batch of 16,530 iPhones.
The proportion of defective iPhones in the sample of 290 iPhones is,
= 9/290
Proportion of defective iPhones in a batch of 16,530 iPhones,
Set up a proportion,
9/290 = x/16530
To solve for x, we can cross-multiply,
⇒ 9 x 16530 = 290 x
⇒ 148,770 = 290 x
⇒ x = 513
Therefore, there will be approximately 513 defective iPhones in a batch of 16,530 iPhones.
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If point (4, 5) is on the graph of a function, which equation must be true?
f(5) = 4
f(5.4) = 9
f(4) = 5.
f(5.4) = 1
Answer:
f(4) = 5
Step-by-step explanation:
functions are represented by f(x), so x should be the value in parenthesis and the y value should be what it equals
1) Passing through (7,-3) and perpendicular to the line whose equation is Y = 1/3x+5
Write an equation for the line in point-slope form
Write an equation for the line in slope-intercept form
2) Passing through (-3,-4) and perpendicular to the line whose equation is Y = -4x+4
Write an equation for the line in point-slope form
Write an equation for the line in slope-intercept form
3) Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.
Slope = -7 passing through (-1,-1)
4) Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope = 4 passing through (-3,9)
5)Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope = 4 passing through (2,7)
1) Point-slope form: y + 3 = -3(x - 7) and Slope-intercept form: y = -3x + 16
2) Point-slope form: y + 4 = -1/4(x + 3) and Slope-intercept form: y = -1/4x - 19/4
3) Point-slope form: y + 1 = -7(x + 1) and Slope-intercept form: y = -7x - 6
4) Point-slope form: y - 9 = 4(x + 3) and Slope-intercept form: y = 4x + 21
5) Point-slope form: y - 7 = 4(x - 2) and Slope-intercept form: y = 4x - 1
1) Passing through (7,-3) and perpendicular to the line whose equation is Y = (1/3)x + 5.
To find the equation of a line perpendicular to another line, we need to take the negative reciprocal of the slope of the given line. The given line has a slope of 1/3, so the perpendicular line will have a slope of -3 (negative reciprocal of 1/3).
Point-slope form:
Using the point-slope form, where (x₁, y₁) is the given point (7,-3), and m is the slope (-3):
y - y₁ = m(x - x₁)
y + 3 = -3(x - 7)
Slope-intercept form:
To convert the equation to slope-intercept form (y = mx + b), we simplify the equation:
y + 3 = -3x + 21
y = -3x + 18
2) Passing through (-3,-4) and perpendicular to the line whose equation is Y = -4x + 4.
Again, we find the slope of the given line, which is -4, and take its negative reciprocal to get the slope of the perpendicular line, which is 1/4.
Point-slope form:
Using the point-slope form, with (x₁, y₁) as (-3,-4) and m as 1/4:
y - y₁ = m(x - x₁)
y + 4 = 1/4(x + 3)
Slope-intercept form:
Simplifying the equation:
y + 4 = 1/4x + 3/4
y = 1/4x - 13/4
3) Slope = -7 passing through (-1,-1).
Using the point-slope form, with (x₁, y₁) as (-1,-1) and the given slope of -7:
y - y₁ = m(x - x₁)
y + 1 = -7(x + 1)
Slope-intercept form:
Simplifying the equation:
y + 1 = -7x - 7
y = -7x - 8
4) Slope = 4 passing through (-3,9).
Using the point-slope form, with (x₁, y₁) as (-3,9) and the given slope of 4:
y - y₁ = m(x - x₁)
y - 9 = 4(x + 3)
Slope-intercept form:
Simplifying the equation:
y - 9 = 4x + 12
y = 4x + 21
5) Slope = 4 passing through (2,7).
Using the point-slope form, with (x₁, y₁) as (2,7) and the given slope of 4:
y - y₁ = m(x - x₁)
y - 7 = 4(x - 2)
Slope-intercept form:
Simplifying the equation:
y - 7 = 4x - 8
y = 4x - 1
These are the detailed solutions for finding the equations of the lines in point-slope form and slope-intercept form based on the given conditions.
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Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer. A used Car salesperson can be paid using two methods of commission. METHOD X uses straight commission 3.5% of the selling price of all vehicles sold. METHOD Y uses a fixed amount of £250 per week plus commission of 1.5% of the selling price of all vehicles sold. If the total selling price of the Cars sold in each week is on average £20,000, calculate which of the two methods of commission the salesperson would prefer.
The cost of one computer is £600 and the cost of one printer is £800.
Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.
Let the cost of a computer be x and the cost of a printer be y.
Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)
4x + 5y = 6000 ---------------------- (2)
Solving equations (1) and (2) simultaneously:x = 600y = 800
Therefore, the cost of a computer is £600 and the cost of a printer is £800..
:Therefore, the cost of one computer is £600 and the cost of one printer is £800.
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A circle has a radius of 4 feet. What is the radius of a bigger circle if the scale factor of the smaller to bigger is 4:9
Answer:
9 feets
Step-by-step explanation:
From the question, we have our scale factor as:
4:9 = 4/9
Smaller circle /Bigger circle = 4/9
A circle has a radius of 4 feet. What is the radius of a bigger circle?
Let the radius of the bigger circle = x
This is calculated as:
4/9 = 4/x
Cross Multiply
4x = 9 × 4
x = 36/4
x = 9 feet
Therefore, the radius of the bigger circle is 9 feet
10. (1 point) Suppose after the shock, the economy temporarily stays at the short-run equilibrium, then the output gap Y
2
−Y
1
is 0.
A>
B<
C=
D incomparable with 11. ( 1 point) The inflation gap π
2
−π
1
is 0.
A>
B<
C=
D incomparable with
12. (1 point) Suppose there is no government intervention, the economy will adjust itself from short-run equilibrium to long-run equilibrium, at such long long-run equilibrium, output gap Y
3
−Y
1
0.
A>
B<
C=
D incomparable with 13. (1 point) The inflation gap π
3
−π
1
is 0.
A>
B<
C=
D incomparable with
14. (1 point) Suppose the Fed takes price stability as their primary mandates, then which of the following should be done to address the shock. A monetary easing B monetary tightening C raise the
r
ˉ
D lower the
r
ˉ
15. (1 point) After the Fed achieve its goal, the output gap Y
3
−Y
1
is 0. A > B< C= D incomparable with
Suppose after the shock, the economy temporarily stays at the short-run equilibrium, then the output gap Y2−Y1 is: B< (less than)As the output gap measures the difference between the actual output (Y2) and potential output (Y1), when the output gap is less than zero, that is, the actual output is below potential output.
The inflation gap π2−π1 is 0. C= (equal)When the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.12. Suppose there is no government intervention, the economy will adjust itself from short-run equilibrium to long-run equilibrium, at such long-run equilibrium, output gap Y3−Y1 is 0. C= (equal). As the long run equilibrium represents the potential output of the economy, when the actual output is equal to the potential output, the output gap is zero.13.
The inflation gap π3−π1 is 0. C= (equal) Again, when the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.14. (1 point) Suppose the Fed takes price stability as their primary mandates, then which of the following should be done to address the shock. B monetary tightening When the central bank takes price stability as its primary mandate, it aims to keep the inflation rate low and stable. In the case of a positive shock, which can lead to higher inflation rates, the central bank may implement a monetary tightening policy to control the inflation.
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The difference of three times a number and
9 is 19. Find the number.
Answer:
n = 9 \(\frac{1}{3}\)
Step-by-step explanation:
First, let's write an equation to show this statement, using a variable N for the number.
3n - 9 = 19
Now to isolate variable N, add nine to both sides to cancel out.
3n = 19 + 9
Simplify.
3n = 28
Now we can divide both sides by three to get our answer.
n = 9 \(\frac{1}{3}\)
Sorry about the fraction - Brainly wouldn't let me bold it :(
I hope this helps! As always, if you have questions, leave a comment, and i'll answer it as soon as I can (or maybe someone else will). Also if possible brainliest would be super appreciated, and I also just wanted to thank you for being SO GENEROUS with the points on this question. You don't even know how much I appreciate them!
At a local restaurant, every 10th customer was asked their opinion of the service at the restaurant as they exited. What sampling technique was used
Ms. Salazar’s car averages 25 miles per gallon of gasoline. She filled the 10-gallon tank with gasoline before traveling 200 miles on a trip. Which graph BEST represents this situation?
Step-by-step explanation:
2524 ÷ 23 = 24a6u= 7
bengek hyung
evelyn wants to estimate the proportion of people who own a tablet computer. a random survey of individuals finds a 95% confidence interval to be (0.62,0.78). what is the correct interpretation of the 95% confidence interval? select the correct answer below: we estimate with 95% confidence that the sample proportion of people who own a tablet computer is between 0.62 and 0.78. we estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78. we estimate that 95% of the time a survey is taken, the proportion of people who own a tablet computer will be between 0.62 and 0.78.
The correct interpretation of the 95% confidence interval is: "We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."
This means that if we were to repeat the survey many times and construct a confidence interval for each sample, 95% of those intervals would contain the true proportion of people in the population who own a tablet computer. The interval (0.62, 0.78) is the range of values that is likely to contain the true population proportion with 95% confidence, based on the sample data.
Hence, the correct interpretation of the 95% confidence interval is:
"We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."
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The expression p + 0.08p represents the total cost of an item with an initial price of p, plus an 8% sales tax. What is the total cost of an item with an initial price of $90?
Answer:
$97.2
Step-by-step explanation:=Given
The expression p + 0.08p
where P= the initial price
let y be the total cost, so that
y=p + 0.08p
for p=$90
y=90+0.08*90
y=90+7.2
y=$97.2
Hence the total cost for a $90 price is $97.2
can you please i beg you.
9514 1404 393
Answer:
a) 9/2 = 4.5, bushels per hour
b) (3, 10), (6, 20), (9, 30), (12, 40)
c) Shawn
Step-by-step explanation:
a) The line goes through the grid point (4, 18), so its slope is ...
18/4 = 4.5 . . . . slope = "unit rate"
The units are (y-units)/(x-units) = bushels/hour.
__
b) You have correctly filled in the table.
Time-values are 3, 6, 9, 12.
Fruit values are 10, 20, 30, 40.
The unit rate for Carla is ...
10 bu/(3 h) = 3 1/3 bushels/hour ≈ 3.33 bushels/hour
__
c) Shawn's unit rate of 4.5 bushels per hour is greater than Carla's unit rate of 3.33 bushels per hour. Shawn picked fruit at a faster pace.
There is 5/6 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1/6 of the pie that was left. How much of the whole pie will he eat tomorrow?
1/36
5/36
1/3
2/3
Answer:
2/3
Step-by-step explanation:
there will be 4/6 of the pie and simplify to be 2/3
Given the following choices, which set of scores has the smallest standard deviation?126, 129, 131, 13411, 21, 30, 35120, 100, 90, 13545, 55, 60, 75
Using the given set of scores, let's find the set that has the smallest standard deviation.
The standard deviation shows the dispersion of the dataset from its mean.
We have the following:
• A. 126, 129, 131, 134
Let's find the mean:
\(\)\(\)Which measure would you use to describe central tendency for qualitative data?.
When describing the central tendency for qualitative data, the measure that is commonly used is the mode.
Unlike quantitative data, where measures such as the mean or median can be used to describe central tendency, qualitative data consists of categories or labels rather than numerical values.
Therefore, the mode is the most appropriate measure for central tendency in this context.
The mode can be useful in summarizing qualitative data by identifying the most common category or response. It provides insight into the most prevalent characteristic or attribute among the data, allowing for a better understanding of the distribution and patterns within the dataset.
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(7.2 x 107) + (5.5 x 106) Express the result
in scientific notation
Answer:
1353.4 x 10^3
Step-by-step explanation:
(7.2 x 107) + (5.5 x 106) = 770.4 + 583 = 1353.4
Scientific Notation: 1353.4 = 1353.4 x 10^3
Answer: 1.3534x10^3
Step-by-step explanation:
(7.2 x 107) + (5.5 x 106) =6767/5 = 1353.4 = 1.3534x10^3
Which is the correct way to calculate the area of a circle?
Answer:
Step-by-step explanation:
Answer:
You must find the diameter then half it, so the radius, and then multiply it by 3.14152
Step-by-step explanation:
Richard and Nestor create paintings. Richard creates 40 paintings in 28 days.
Nestor creates 45 paintings in 5 weeks. Who creates paintings at a faster rate?
Show your work.
Answer:
Richard
Step-by-step explanation:
40÷4 weeks(28 days)=10
Nestor:45÷5=9
The diameter of a tree trunk is 23 inches. What is the circumference?
Answer:
72.26
Step-by-step explanation:
Circumference formula is C=2\(\pi\)r
Radius is 1/2 the diameter so, 23/2 = 11.5
11.5 will be your radius.
Now, plug your radius into your formula: 2 x \(\pi\) x 11.5
and your answer will be approximately 72.26.
Assume that a medical research study found a correlation of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer. This could be interpreted to mean:
a. the more vitamin A consumed, the lower a person's chances are of getting this type of cancer
b. the more vitamin A consumed, the higher a person's chances are of getting this type of cancer
c. vitamin A causes this type of cancer
The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.
A correlation coefficient measures the strength and direction of the linear relationship between two variables.
In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.
Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.
However, it is important to note that correlation does not imply causation.
It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.
Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.
To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.
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a automobile race contains 15 racecars. in how many ways can the racecars finish in first, second, and third place?
There are 2730 ways in which 15 race cars can finish in first, second, and third place.
Let's examine this logically now. Any one of the 15 runners can cross the finish line in first place. You can still have any one of the 14 race cars who are still running finish in second place. Any one of the 13 race cars who haven't crossed the finish line yet can take third place.
As a result, multiplying all the possibilities will give us the number of ways ;
Number of ways =15*14*13
=2730
So, the total number of ways in which the race cars finish in first, second, and third place is 2730.
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Karen wants to advertise how many chocolate chip are in in each Big Chip cookie at her bakery. She randomly selects a sample of 55 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 15.4 and a standard deviation of 3.2. What is the 99% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Enter your answers to accurate to one decimal place
99% confidence interval for the number of chocolate chips per cookie is
15.4 ± 1.1115
What is confidence interval?The mean of sample plus and minus the range of that sample constitutes a confidence interval.
Within a specific level of confidence, this is the range of values anticipated to fall within, if the test is repeated.
Number of cookies in the sample n = 55
Mean μ = 15.4
Standard deviation s = 3.2
Confidence = 99%
For 99% confidence interval Z-value = 2.576
Confidence interval
= μ ± Zs/√n
= 15.4 ± 2.576×3.2/√55
= 15.4 ± (8.2432/7.4162)
= 15.4 ± 1.1115
Hence, 15.4 ± 1.1115 is the 99% confidence interval for the number of chocolate chips per cookie.
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pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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What is the measure of angle G?
Round only your final answer to the nearest tenth.
17.6°
29.0°
43.4°
O133.4°
Answer:133.4
Step-by-step explanation:
which graph represents the solution to the inequality y<1/2x-4
The graph shown in option (B) represents the solution to the inequality y<1/2x-4
InequalityA relation between two mathematical expressions which are not equal is known as inequality.
Graphing inequalitiesFirst, solve the given inequality so that y is on the left side and everything else is on the right side.Then, plot the graph for the equation.Finally, we will shade above the line for the ">" and below the line for the "<".Which graph represents y < 1/2x-4?The inequality symbol is "<" (less than).
So, the line of the graph should be dashed and shaded below the line.
Comparing the graphs given in the question, we can conclude that option (B) is correct.
Hence, the graph in option (B) represents the solution to inequality y<1/2x-4.
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Answer:
B aka y<1/2x-4
Step-by-step explanation:
I did this before
Helpp!! Please answer both parts of the question will mark brainliest.
Answer:
Part A. x is greater than y
Part B. y is greater than x.
Step-by-step explanation:
Part A: if x=10+y, this means that x is 10 greater than y, meaning that x would be greater than y. for example, if y=5, then x=10+5, which would be 15.
Part B: if x=10-y, this means that x is 10 less than y, meaning that y is greater than x. for example, if y=9, then x=10-9, which would be 1.
find the area of this shape
The calculated value of the area of the figure is 11326.5 sq units
Finding the area of the figure belowFrom the question, we have the following parameters that can be used in our computation:
Composite figure
The shapes in the composite figure are
RectangleTriangleThis means that
Area = Rectangle + Triangle
Using the area formulsa on the dimensions of the individual figures, we have
Area = 62 * 180 + 1/2 * (62 - 25) * 9
Evaluate
Area = 11326.5
Hence, the area of the figure below is 11326.5 sq units
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1.5.PS-21 Challenge Yossi used to have a square garage with 314 ft² of floor space. He 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? One side of the garage was originally 17.7 ft long. (Round to the nearest tenth as needed.) ft long. Question Help One side of the garage is now (Round to the nearest tenth as needed) Enter your answer in the answer box and then click Check Answer. -
Required values:
The length of one side of the garage was originally 17.7 ft long
The length of one of the sides of the garage is now 21.7 ft long
The percentage increase in length is 22.5%.
Given parameters are;
The area of the square garage is 314 ft.²
The area of the new garage has 50% more space
Required;
Initial side length:
The initial side length, given to the nearest tenth, s, is the square root of the area, A, given as follows;
s = √(314 ft.²) ≈ 17.7 ft.
New Side length:
The side was increased by 50%, to give,
314 + 0.5×314 = 471
The new area of the garage = 471 ft.²
The side length of the new garage, s = √(471) ≈ 21.7 ft
The side of the garage now is 21.7 ft.
Percentage increase in length:
The percentage increase is given as follows;
% increase in length
= new side length - old side length / old side length * 100
= 21.7 - 17.7 / 17.7 *100
= 22.5 %
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The table represents a linear function.
A two column table with six rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2. The second column, y, has the entries, negative 2, 1, 4, 7, 10.
What is the slope of the function?
Answer:
74747
Step-by-step explanation:
Answer:
-3
Step-by-step explanation: