Answer: D) Reflection across the y-axis; \(270^{\circ}\) counterclockwise rotation about the origin
3 friends ordered 2 pizzas of 6 slices each and ate equal amounts, how many slices did each person eat?
A 1
B 2
C 3
D 4
Answer:
Option D, 4
Step-by-step explanation:
2 pizzas x 6 slices per pizza = 12 slices of pizza
12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend
Option D, 4, is your answer
Solve: 1. 12 + 2 ( x - 1 ) = 4x - 15 - 2x
2. 7 ( x + 3 ) - 1 = 5 ( x + 4 ) + 10
3. ( 4x - x ) 6 + 2 = 11 ( x + 3 ) + 10
4. 3/8 ( 2x - 8 ) = 1/4x + 9
please show work
please mark this answer as brainlist
Hello! I need help ASAP. Can anyone help please?
(reward: 19 points, brainliest, 5 rating)
Two groups of people need to get across a lake. The first group has 36 people. Its boats can carry 5 passengers. The second group has 24 people. Its boats can carry only 4 passengers.
Which group needs more boats?
follow the steps to solve the problem.
1. Group 1 is represented by the equation 5x = 36. Solve this equation for x. Show your work.
2. How many boats does group 1 need? Explain your answer.
3. Write and solve an equation to find how many boats group 2 needs. Show your work.
Answer:
Both groups need more boats
1.) 5x=36
36/5
=7.2 boats
2.) 7.2 but you can't split a boats nor can you decrease the amount of people so 8 boats.
3.)4x=24
24/4
=6 boats
I hope this helps u :)
PLS HELP ASAP (Brainliest answer if it's right)
The width of a rectangle measures (8p+5) centimeters, and its length measures (4p+4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
1. 24p+18
2. 8+13p
3. 9+12p
4. 26p+16
Thx if u help>3
Answer:
1. 24p + 18
Step-by-step explanation:
One of the formulas used to find the perimeter of a rectangle is:
P = 2(l + w)
Where P is the perimeter, l is the length, and w is the width. We can substitute in the given values:
P = 2[(4p + 4) + (8p + 5)]
Now we can combine the like terms:
P = 2[12p + 9]
And simplify:
P = 24p + 18
This is the same as option 1.
A skydiver is laying out a circular target for his next jump that has a diameter of 16 FEET. Which EXPRESSION can be used to determine the area of the target?
Pls hurryyy thxxxxsss
Answer:
Area of a circle = πr²
Plug in values (radius is half of the diameter so radius = 8)
π8² = 64π ≈ 201.0619 feet (rounded to four decimal places)
Hope this helps!
SDJ, Inc., has net working capital of $3,710, current liabilities of $5,500, and inventory of $4,440. a. What is the current ratio? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.) b. What is the quick ratio? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.) a. Current ratio times b. Quick ratio times
Therefore: a. The current ratio is approximately 1.68. b. The quick ratio is approximately 0.80. a. Current ratio times is approximately $6,229.68. b. Quick ratio times is approximately $2,968.00.
To calculate the current ratio and quick ratio for SDJ, Inc., we'll use the following formulas:
Current Ratio = Current Assets / Current Liabilities
Quick Ratio = (Current Assets - Inventory) / Current Liabilities
Given the information:
Net Working Capital = $3,710
Current Liabilities = $5,500
Inventory = $4,440
a. Current Ratio:
Current Assets = Net Working Capital + Current Liabilities
Current Assets = $3,710 + $5,500 = $9,210
Current Ratio = Current Assets / Current Liabilities
Current Ratio = $9,210 / $5,500
Current Ratio ≈ 1.68
b. Quick Ratio:
Quick Ratio = (Current Assets - Inventory) / Current Liabilities
Quick Ratio = ($9,210 - $4,440) / $5,500
Quick Ratio ≈ 0.80
a. Current ratio times:
Current Ratio times = Current Ratio * Net Working Capital
Current Ratio times = 1.68 * $3,710
Current Ratio times ≈ $6,229.68
b. Quick ratio times:
Quick Ratio times = Quick Ratio * Net Working Capital
Quick Ratio times = 0.80 * $3,710
Quick Ratio times ≈ $2,968.00
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Homework: Section 11.1 Question 7. Complete the square to find the x-intercepts of the function given by the equation listed. f(x)=x² +34x+104 What are the x-intercepts? **** (Simplify your answer. T
Answer:
x² + 34x + 104 = 0
x² + 34x = -104
x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²
x² + 34x + 17² = -104 + 17²
x² + 34x + 289 = 185
(x + 17)² = 185
x + 17 = +√185
x = -17 + √185
I live in a state with a 6.5% sales tax. What would the tax be for a TV with a
list price of $500? Round to the nearest hundredths place. *
Answer:
Step-by-step explanation:
500*6.5%=32.50 tax
tax is $32.50
total with tax is $532.50
Convert the point from Cartesian to polar coordinates. Write your answer in radians. Round to the nearest hundredth.(6,6)
The polar coordinates of the point (6, 6) are approximately (8.49, 0.79) in radians.
To convert the point (6, 6) from Cartesian to polar coordinates, we can use the formulas:
r = √(x² + y²)
θ = arctan(y/x)
Given that the point is (6, 6), we can substitute the values into the formulas to find the polar coordinates.
r = √(6² + 6²) = √(36 + 36) = √72 ≈ 8.49
θ = arctan(6/6) = arctan(1) = π/4 ≈ 0.79 (radians)
In polar coordinates, the value of r represents the distance from the origin (0, 0) to the point, and the value of θ represents the angle (measured in radians) between the positive x-axis and the line connecting the origin to the point. The angle θ is usually measured counterclockwise from the positive x-axis.
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Complete question is:
Convert the point from Cartesian to polar coordinates. Write your answer in radians. Round to the nearest hundredth.
(6,6)
what is x
g(x) = 2x + 9
Triangle XYZ is drawn with vertices X(4, −5), Y(6, −1), Z(10, −8). Determine the line of reflection if Z′(10, 8).
y = 1
x = −8
y-axis
x-axis
Answer:
(d) x-axis
Step-by-step explanation:
You want the line of reflection that transforms Z(10, -8) to Z'(10, 8).
Line of reflectionThe line of reflection is the perpendicular bisector of the segment between a point and its image.
Here, the segment ZZ' is on the vertical line x=10, so the bisector will be a horizontal line whose y-value is the average of the y-values of Z and Z':
y = (-8 +8)/2 = 0/2 = 0
The line y=0 is the x-axis. The line of reflection is the x-axis.
__
Additional comment
Rather than go to the trouble of considering perpendicular bisectors, you can simply make use of your knowledge of reflection over the axes:
(x, y) ⇒ (-x, y) . . . . reflection over the y-axis
(x, y) ⇒ (x, -y) . . . . reflection over the x-axis ←
(x, y) ⇒ (-x, -y) . . . . reflection over both axes, or reflection across the origin
Answer:
(d) x-axis
Step-by-step explanation:
Celina has 4 glass ornaments blue, pink, orange and purple. How many ways can she hang them in a row so that the blue and pink ornaments are not touching
Answer:
I don't know if this will make since to you but, since there are 4 ornaments take 4 times 4 and get 16, but since the blue at pink can't touch take away 2 possible ways 16 minus 2 equals 14. 14 Ways
Step-by-step explanation:
List five rational numbers which are smaller than 2
Answer:
1/2, 1/4, 2/3, 1, 3/2.
Step-by-step explanation:
I'll just list some more, because why not?
10/9, 9/10, 11/2, 2/6, 2/10...
How to slove this proof ?
To prove that DE is parallel to FB, we can use the property that the line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
We can see triangles AED and CFB with DE and FB as their respective midsegments. Then, we can show that these triangles are similar and that their corresponding sides are proportional. This will imply that DE and FB are parallel.
Proof:
ABCD is a parallelogram, E is the midpoint of AB and F is the midpoint of DC.
Given
Construct triangles AED and CFB with DE and FB as their midsegments, respectively.
Definition of midsegment
AE = ED and CF = FB
Given that E and F are midpoints
AD = BC
Opposite sides of a parallelogram are congruent
∠AED = ∠DCF
Opposite angles of a parallelogram are congruent
∠ADE = ∠CDB
Alternate interior angles formed by parallel lines and a transversal
Triangles ADE and CFB are similar
By angle-angle similarity (AA)
AD/CF = DE/FB
Corresponding sides of similar triangles are proportional
Substituting AD = BC and simplifying, we get:
BC/CF = DE/FB
Since CF = FB (given), we have:
BC/FB = DE/FB
Therefore, BC = DE
Since the corresponding sides of similar triangles are proportional, we can equate BC/CF and DE/FB to get this result.
Hence, DE is parallel to FB
If a line segment joining the midpoints of two sides of a triangle is parallel to the third side, then it is half its length.
Therefore, DE is parallel to FB, as required.
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Miss reed make salad dressing by combining oil and vinegar should combines a fluid ounces of oil in three fluid ounces of vinegar
Answer: If Miss Reed combines one fluid ounce of oil with three fluid ounces of vinegar, she gets a total of four fluid ounces of salad dressing. Therefore, the ratio of oil to total dressing is 1:4, and the ratio of vinegar to total dressing is 3:4.
If Miss Reed wants to make a larger amount of salad dressing using the same ratio of oil to vinegar, she can simply scale up the quantities while maintaining the same ratio. For example, if she wants to make 12 fluid ounces of salad dressing, she would need:
3 fluid ounces of oil (since the ratio of oil to total dressing is 1:4)9 fluid ounces of vinegar (since the ratio of vinegar to total dressing is 3:4)
She can combine these quantities to get a total of 12 fluid ounces of salad dressing, with the same oil-to-vinegar ratio as before.
4) determine whether the series converges absolutely, conditionally, or not at all (justify your answer): [infinity]
∑ cos n / 2^n
n=1
The sum of the given series ∑ \((cos(n) / 2^n)\) from n=1 to infinity converges absolutely.
To determine whether the series converges absolutely, conditionally, or not at all, we will analyze the given series:
∑ \((cos(n) / 2^n)\) from n=1 to infinity.
Step 1: Test for absolute convergence: We can test for absolute convergence by applying the Ratio Test to the absolute value of the terms in the series. We first consider the series: ∑ \(|cos(n) / 2^n|\) from n=1 to infinity.
Step 2: Apply the Ratio Test: For the Ratio Test, we compute the limit as n approaches infinity of the ratio of consecutive absolute terms: lim (n→∞) \((|cos(n+1) / 2^(n+1)|) / (|cos(n) / 2^n|)\)
= lim (n→∞) \((|cos(n+1)| / |cos(n)|) * (2^n / 2^(n+1))\) = lim (n→∞) \((|cos(n+1)| / |cos(n)|) * (1/2)\)
Since the cosine function has values between -1 and 1, the limit of the ratio of consecutive cosine terms exists but does not have a specific value. However, since we're multiplying the limit by 1/2, which is less than 1, the Ratio Test concludes that the series converges absolutely.
So, the given series ∑ \((cos(n) / 2^n)\) from n=1 to infinity converges absolutely.
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2. What is the average salary offered to a Stony Brook college graduate? To study this question you and a friend interview N students that graduated last year, and ask them what they earn. Student i's response was recorded as Yi. You are interested in the average, My. You assumed that the sample of Y's is iid. First you calculate the following estimate of uy: W1 N 1 N i=1 ΣΥ. . You and your friend each collected half the data. Thus you collected Y1, ..., YN/2 and your friend collected Yn/2+1, ... , Yn. Unfortunately, it turns out that your friend collected the data at a wild alumnae party, and you suspect that these data may not be as precise as your data. So whereas the variance of your data is, var(Y;) = 0%, i = 1, ...,N/2. then your friends data have the variance, var(Y) = oʻ(1 + 3c), i=N/2+1, ...,N, for some constant c> 0. (d) Your friend is sorry that half the data are not as precise as they could have been, and suggest that you discard the noise data, and simply use hr Na Ex? Y; as your estimator for my. Which estimator is most efficient (has the smallest variance) în or îz? Does your answer depend on c? = N.Σ. (Υ – μ.) - = (e) Suppose now that c = 0 such that var(Y;) = o2 for i = 1, ...,N. You have N = 300 observation and calculate s2 = 20,000,000 and î1 = $48,000. Before collecting the data, your friend argues mean salary, my, is s $50,000, using a 1% significance level. Write down the confidence interval at 1% significance level and decide whether you will accept your friend's
The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.
In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.
In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.
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PLEASE ANSWER IMMEDIATELY, I'LL GIVE BRAINLIEST AND POINTS!!
Answer:
8000
Step-by-step explanation:
8000
10^6-2*7.2/9
72000/9 = 8000
The exterior of a solid cone is painted. The height of the cone is 11.4 centimeters, and the diameter of its opening is 5 centimeters.
What is the surface area of the solid cone requiring paint to the nearest square centimeter?
The surface area of the solid cone requiring paint rounded to the nearest whole number is ___________ square centimeters.
Answer:
111 cm^2
Step-by-step explanation:
h = 11.4
d = 5 so r (radius) = 2.5
Surface Area of a Cone Formula: πr^2 + πrs
s represents the slant height of the cone, lets represent this with a drawing.
We have the values of h and r, but we don't have the value of s, meaning we have to find it. We can do this by using pythagorean theorem.
a^2 + b^2 = c^2
These three values can come together to create a right triangle which we can seperate from the rest of the diagram, now we can find s.
s = √(11.4^2 + 2.5^2) so s = 11.67
now that we have all of the pieces, we can plug back into the original surface area formula. πr^2 + πrs
π(2.5^2) + π(2.5)(11.67) = 111.29 cm^2 or 111 cm^2
The surface area of the solid cone requiring paint will be 111 square cm.
What is the surface area of a cone?Let d be the diameter of the base circle, l be the slant height, and h be the height of the cone.
Then the lateral surface area of the cone will be
SA = πrl + πr²
Then the slant height is given as
l² = r² + h²
The exterior of a solid cone is painted. The height of the cone is 11.4 centimeters, and the diameter of its opening is 5 centimeters.
Then the radius of the base circle will be
r = 5 / 2
r = 2.5 cm
The length of the slant height will be
l² = 11.4² + 2.5²
l² = 136.21
l = 11.67
Then the surface area of the solid cone requiring paint will be
SA = π × 2.5 × 11.67 + π × 2.5²
SA = 29.18π + 6.25π
SA = 35.43π
SA = 111.3
SA ≈ 111 square cm
The surface area of the solid cone requiring paint will be 111 square cm.
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One way to show that you understand the distributive property is to multiply a number by a sum or difference. (I called this the classic distributive property.)
The numbers in the blanks to show the distributive property for
4 ( 7 - 9 )
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.
can somebody please help me
Answer:
201.06
Step-by-step explanation:
The volume of a cylinder is the area of the base (\(\pi 2^2\)) times the height (16).
Answer:
V = 201 ft^3
Step-by-step explanation:
\(v = \pi {r}^{2} \times h \\ v = 3.14 \times {2}^{2} \times 16 \\ v = 200.96 \\ v = 201 \: \: {ft}^{3} \)
I hope that is useful for you :)
can someone please help me
21 m
15 m
Which is closest to the length of XY?
Answer:
18.0 i think
Step-by-step explanation:
Find the length of the diagonal in the rectangular prism shown. Round to the nearest tenth if necessary.
a. 261 centimeters
b. 15 centimeters
c. 16.2 centimeters
d. 27 centimeters
Answer:
c. 16.2 centimetres
Step-by-step explanation:
c² = a² + b²
A town manager reports that revenue for a given year is $563,878. The budget director predicts the revenue will increase by 7% per year. How much revenue will the town have available in 6 years? (round to the nearest cent)
Answer:
below
Step-by-step explanation:
the yearly multiplier
= 1.07
After 6 years revenue wii, b 563878 * 1.07^6
= $846,228.83.
Suppose H(x) = 1*A1 + 2*A2*x + 3*A3*x^2 + 4*A4*x^3 + 5*A5*x^4 + ... (i.e., the infinite sum of N*A(N)*x^(N-1)) What is H(1/2)? (Hint: What is the relationship between H(x) and F(x)?)
First, let's understand the relationship between H(x) and F(x). H(x) is the derivative of F(x) with respect to x. This means that H(x) represents the rate of change of F(x) at any given point x.
Now, let's find H(1/2):
H(1/2) = 1*A1 + 2*A2*(1/2) + 3*A3*(1/2)^2 + 4*A4*(1/2)^3 + 5*A5*(1/2)^4 + ...
H(1/2) = A1 + A2 + (3/4)*A3 + (1/2)^2*A4 + (5/16)*A5 + ...
To calculate H(1/2), we need to know the values of A1, A2, A3, A4, A5, and so on. Unfortunately, without any additional information, it's impossible to provide a numerical answer for H(1/2). However, the expression above gives you the general form of H(1/2) based on the given infinite series.
If you can provide more information about the coefficients A1, A2, A3, etc., I'll be happy to help you further.
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2. a researcher wants to know how often children push other children onto the ground. to study this, she watches children on the playground for 10 minutes and records the number of pushes. what kind of sampling is she not doing?
The researcher is not conducting non-random sampling.
Random sampling is a sampling technique in which every individual or element of the population of interest has an equal opportunity of being selected for the sample. Each member of the population has an equal chance of being selected for the sample. Random sampling helps to ensure that the sample is representative of the population.
Non-random sampling, on the other hand, is a sampling technique in which the individuals or elements of the population of interest are not randomly selected. In other words, not every member of the population has an equal chance of being selected. This sampling method is biased and can lead to an unrepresentative sample.
The researcher is not conducting a non-random sampling technique because she is observing every child in the population of interest. The population of interest, in this case, is the children on the playground.
What kind of sampling is the researcher not doing?The researcher is not conducting non-random sampling because random sampling is a sampling technique in which every individual or element of the population of interest has an equal opportunity of being selected for the sample.
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How can you determine whether the sum of several numbers, such as 13 + 45 + 24 +17, is odd or even without actually calculating the sum?
Answer:
Step-by-step explanation:
Hello,
odd + odd gives even
odd + even gives odd
so odd + odd + even + odd = even + even + odd = even + odd = odd
So the sum is a odd number
thanks
The sum of three odd numbers is odd and that added to an even number results in an odd number.
What are some other related concepts?An even number raised to the even or odd power is even and an odd number raised to the power of even or odd is always an odd number.
We know the sum of two even numbers is even, the sum of two odd numbers is also even and the sum of an odd and even number is odd and vice versa.
Given four numbers first two numbers are odd so their sum is even.
The next two numbers are even and odd so their sum is odd, Now the sum of even and odd is odd.
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A pooled OLS estimator that is based on the time-demeaned variables is called the _____. Group of answer choices random effects estimator fixed effects estimator least absolute deviations estimator instrumental variable estimator
The time-demeaned variables is called fixed effects estimator.
The fixed effects estimator is a method used in panel data analysis to account for unobserved heterogeneity across individual units, such as people, companies, or countries, that may be correlated with the explanatory variables. This heterogeneity can lead to omitted variable bias, which can affect the estimates of the regression coefficients.
In there are different OLS estimators are used to observe data according to the needs of the researcher.
Here, the pooled OLS estimator refers to the regression model according to which model has the constant and unbiased coefficient and when it is based on the time-demeaned, it is known as the fixed effects estimators. It is because time-demeaned data provide information after subtracting the sample mean from the observations with the constant coefficient that provides fixed effects on the result and observation.
Therefore, the time-demeaned variables is called fixed effects estimator.
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How do I find the slope of a line?
To find the slope of a line you need to know at least 2 points on that line to use their coordinates in the following formula:
\(m=\frac{y2-y1}{x2-x1}\)That is the formula to find the slope of a line, m is the slope, y2 and y1 are the y coordinates of the known points and x2 and x1 are the x coordinates.
For example, find the slope of the line that passes through (1,4) and (3,12)
\(m=\frac{12-4}{3-1}=\frac{8}{2}=4\)The slope of the line is 4.