Answer:
They will not get the same amount of bracelets
Step-by-step explanation:
You cannot divide 89 by 4 to get an equal number (4 is not a factor of 9)
Answer:
3 of the friends plus Gaby will get 17 bracelets and 1 of them will get 4/5 of the bracelets
Step-by-step explanation:
89 divide by 5 = 17.8
Find the area of the surface generated by revolving the curve about the given axis. x = 7cos^3theta. y=7sin^3theta
The area the surface generated by revolving the curve about the given axis stated above is: 98π
What is the explanation for the above?
Because runs from 0 to pi/2 and rotation occurs about the y axis, surface area is given by:
\(\small S = \int _0^{\frac{\pi}{2}}2\pi xds\) ----------------------------------------------------1)
This is so where;
ds = \(\sqrt{[(dx/dt)^{2}} + (dy/dt)^{2}] dt\)
ds = \(\sqrt{([dx/d\theta)^{2}}+(dy/d\theta)^{2}] d\theta\)
ds = \(\sqrt{([dx/d\theta (7cos\theta))^{2}}+(dy/d\theta (7cos\theta))^{2} d\theta]\)
ds = \(\sqrt{[(-7cos\theta)^{2}} + (-7cos\theta)^{2}] \theta\)
ds = \(\small \sqrt{49sin^2(\theta)+49cos^2(\theta) }d\theta\)
ds = \(\small \sqrt{49(sin^2(\theta)+cos^2(\theta)) }d\theta\)
ds = √49dθ
ds = 7dθ
Hence, we can say that,
\(\small S = \int _0^{\frac{\pi}{2}}2\pi (7cos(\theta))(7d\theta)\)
\(\small S =98\pi \int _0^{\frac{\pi}{2}}cos(\theta)d\theta\)
\(\small S =98\pi \left [ 1-0 \right ]\)
S = 98π
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Full Question:
Find the area of the surface generated by revolving the curve about the given axis. x = 7 cos(θ), y = 7 sin(θ), 0 ≤ θ ≤ π 2 , y-axis
Which equation is equal to 4a + 2b = 10?
Answer:
26
Step-by-step explanation:
2 plus 24 is 26
based on the information in the table is the cost of the pizza proportional to the number of toppings?
A survey was conducted to investigate whether alcohol consumption and smoking are related. In a random
sample of 300 smokers, 196 said they had consumed alcohol at least once in the past week. In an
independent random sample of 300 non-smokers, 159 said they had consumed alcohol in the past week. If
P, is the proportion of smokers in the population who have had a drink in the past week and P is the
corresponding proportion of non-smokers, then a test of the hypotheses H, P, -P-0 against the two-sided alternative produces a test statistic of z=3.07 and a P-value of 0.002. If we had instead analyzed these results with a chi-square test of homogeneity, which of the following would be the test statistic and P-value?
a-942, P-value = 0.002
b. -942, P-value-0.004
-3.07, P-value - 0.004
d. -1.75, P-value = 0.002
e-1.75, P-value=0.004
e) The test statistic and P-value for the chi-square test of homogeneity would be -1.75 and 0.004, respectively.
A chi-square test of homogeneity is a useful tool for comparing two or more categorical variables. In this case, the two variables are smoking (smokers and non-smokers) and alcohol consumption (those who had consumed alcohol in the past week and those who hadn't).
The chi-square statistic is calculated by finding the difference between the observed and expected frequencies of the two groups and squaring it. The expected frequencies are found by multiplying the sample size by the overall probability of success (in this case, drinking alcohol).
The P-value is then calculated based on the chi-square statistic and the degrees of freedom (in this case, one). In this case, the chi-square statistic is -1.75 and the P-value is 0.004.
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A scatter plot is made to model the number of calories in different portions of fish sticks. The data used for the scatter plot are shown in the table:
Number of portions 5 3 8 6 1 4
Number of calories 250 150 400 300 50 200
What does the slope of the model represent?
The number of calories in each portion of fish sticks
The number of fish sticks in each portion
The original number of portions of fish sticks
The price of each portion of fish sticks
Solution: A scatter plot is made to model the number of calories in different portions of fish sticks. The data used for the scatter plot are shown in the table below:
Number of portions
5 3 8 6 1 4
Number of calories
250 150 400 300 50 200
What does the slope of the model represent?
Answer: The number of calories in each portion of fish sticks
Answer:
The number of calories in each portion of fish sticks
Step-by-step explanation:
Hope this helps! God bless :)
Find square root of 3420 by long division method correct up to 2 decimal places.
Answer:
58.480766068854
Step-by-step explanation:
hope it will help you
PLEASE NEED SOME HELP
Answer:
942.5 cm3
Step-by-step explanation:
Im lowkey begging at this point . I might take Algebra again if I dont pass XC Can you please solve these few problems and explain how u got them . Im giving the rest of my pointss!
Please dont steal this q T^T
Answer:
7)B
8) C
9) A
Step-by-step explanation:
Write a fraction setting the vertical length of the smaller triangle and the bigger triangle over its horizontal length. What do these fraction represent?
To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why or why not? What does that mean about the slope between points E and A and the slope between the points A and C?
Step-by-step explanation:
Vertical length of the smaller triangle is:
2 - 0 = 2Horizontal length of the smaller triangle is:
3 - 0 = 3The fraction:
2/3This fraction is same for the larger triangle, which is 4/6 = 2/3.
It means the slopes are same.
Since the slopes are same, the segments are part of same red line.
Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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the average credit card debt for college seniors is $3262. if the debt is normally distributed with a population standard deviation of $1100. about 15% of college seniors owe less than what amount of money?
If the debt is normally distributed with a population standard deviation of $1100 and 15% of college seniors owe less than the amount of money is equals to the $2121.96.
The area under the standard normal curve represents to probability. The total area under the curve is equals to one. A Standard Normal Cumulative Probability, is a table which provides the cumulative probability of the left tail, as in the values less than the z-score in question. Here,
population mean, μ = $3262
standard deviation, σ = 1100
P- value = 15%
Using the normal distribution table, Z-score value is equals to - 1.0364. Now, we can use Z-scores formula is written \(Z = \frac{X - \mu}{\sigma }\)
Substitutes the known values in above formula, - 1.0364 = (X - 3262 )/1100
=> X - 3262 = 1100× ( - 1.0364)
=> X = 3262 - 1140.04
=> X = 2121.96
Hence, required value is $ 2121.96.
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Determine the maximum deflection of the simply supported beam. E= 200 GPa and.i = 39,9 (10^6) M^4
The maximum deflection of the simply supported beam, given the applied load P, the length of the beam L, the Young's Modulus E of the beam material, and the moment of inertia I, is equal to (5*P*L^3)/1536.3*10^15 m.
The maximum deflection of the simply supported beam is given by:
Maximum deflection = (5PL^3)/(384EI)
where P is the load applied to the beam, L is the length of the beam, E is the Young's Modulus of the beam material, and I is the moment of inertia of the beam.
Substituting the given values into the equation, we get:
Maximum deflection = (5*P*L^3)/(384*200*10^9*39.9*10^6)
= (5*P*L^3)/(1536.3*10^15)
= (5*P*L^3)/1536.3*10^15 m
The maximum deflection of the simply supported beam, given the applied load P, the length of the beam L, the Young's Modulus E of the beam material, and the moment of inertia I, is equal to (5*P*L^3)/1536.3*10^15 m.
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GIVEAWAY!! QUICK QUESTION!!!
Mr. Segura told Ms. Chang that the coefficient of kk is 11. What would you tell one of your classmates that the coefficient of -k−k is? Type the number, don't write it out!
Answer:
-2
Step-by-step explanation:
Given :
An example of a coefficient ⇒ '11' in 11kkSolving :
The coefficient is the part that precedes the variable(s)Therefore, on solving -k - k⇒ -2k⇒ -2 is the coefficientAnswer:
-2
Step-by-step explanation:
Given expression: -k - k
Combine like terms and simplify:
⇒ -k - k
⇒ -(k + k)
⇒ -(2k) = -2k
Determining the constant:
The constant of the term MUST be an integer. It CANNOT be a variable. In this case, the only constant that is a cooeficient of k is -2.
Thus, the cooeficient of -k−k is -2.
. You deposit $200 each month into an account earning 3% interest compounded monthly for 30 years. How much total interest will you earn in 30 years?
The total interest you will earn in 30 years is approximately $241.61.
To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066
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Lavonne is single and earned $125,000 last year. Use the tax schedule
information below to determine how much tax Lavonne will owe.
Over-
$82,500
$18,150
$9,350
O $23,439
O $14,089
A
But not over-
$157,500
The tax is:
$14, 089.00 +22%
of the amount over-
$82,500
Lavonne's tax liability will be $23,439.00.
We have,
Lavonne's income falls between $82,500 and $157,500, according to the tax schedule information.
To determine her tax liability, we need to find the amount over $82,500, which is:
= $125,000 - $82,500
= $42,500
Lavonne's tax liability will be the sum of the fixed amount plus the percentage of the amount over $82,500, which is:
= $14,089.00 + 22%($42,500)
= $14,089.00 + $9,350.00
= $23,439.00
Therefore,
Lavonne's tax liability will be $23,439.00.
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Hazel is saving her allowance to buy a new handbag to match her favorite dress. The handbag is shaped like a trapezoid with one base that is 23 centimeters long and another base that is 17 centimeters long. The trapezoid has an area of 260 square centimeters. What is the height of the trapezoid? Write your answer as a whole number or decimal. Do not round.
The height of the trapezoid is 13cm.
What is the height of the trapezoid?A trapezoid is a convex quadrilateral with at least one pair of parallel sides.
Area of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
Height = area / (0.5 x sum of lengths)
Sum of lengths = 23 + 17 = 40 cm
= 260 / (0.5 x 40) = 13 cm
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Given line is parrel to M
Prove 1 is supplementary to 2
S1: m || n
S2: m∠2 ≅ m ∠3
R3: Corresponding angles postulate
R5: Linear pair angles are also supplementary angles
S7: m∠1 + m∠2 =180°
What is linear pair?
An angle pair that is linear is produced when two lines intersect at a single point. The terms "linear" and "rectangular" are used to describe angles that follow the intersection of two lines in a straight line. Total angles of a linear pair are always equal to 180°.
Given that line m and line n are parallel to each other.
Statement 1: m || n
Reason 1: Given
Corresponding angles postulate: When a transversal divides two parallel lines, the resulting angles are congruent.
Statement 2: m∠2 ≅ m ∠3
R2: Corresponding angles postulate
S3: m∠2 ≅ m ∠3
R3: Corresponding angles postulate
Statement 5: ∠1 is supplementary to ∠2.
Reason 5: The linear pair angles are also supplementary angles.
Statement 7: m∠1 + m∠2 = 180°
Reason 7: Substitution property of equality
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2. determine the shape factor, f12 , for the rectangles shown. (a) (10 points) perpendicular rectangle without common edge. (b) (10 points) parallel rectangles of unequal areas.
The final value is 0.67
(a) For a perpendicular rectangle without a common edge, the shape factor can be calculated using the formula:
f12 = min(w1, w2) / (h1 + h2)
where w1 and w2 are the widths of the rectangles and h1 and h2 are the heights.
In this case, the minimum width is 2 units, and the sum of the heights is 5 + 3 = 8 units. Therefore,
f12 = 2 / 8 = 0.25
(b) For parallel rectangles of unequal areas, the shape factor can be calculated using the formula:
f12 = (A2 / A1) * (h1 / h2)
where A1 and A2 are the areas of the rectangles and h1 and h2 are the heights.
In this case, the area of rectangle 1 is 24 square units (4 x 6) and the area of rectangle 2 is 16 square units (4 x 4). The heights are the same at 4 units. Therefore,
f12 = (16 / 24) * (4 / 4) = 0.67
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b. What value of x will make the equation f(x) = 22 true?
A bag contrains 3 red marbles and 4 blue . A marble is taken at random from the bag and replaced. Another marble is taken from the bag. Work out the probability that the two marbles taken from the back or the same color. Give your answer as a fraction
Answer:
4x-90(3)=50%m
Step-by-step explanation:
m= marbles (take note of my user name
Answer:
For each draw, the chances of getting a blue marble are 3 of 7; the chances of getting a red are 4 of 7.
The chances of drawing a blue on both draws is (3/7)^2 or 9/49, and the chances of getting red on both draws is (4/7)^2 or 16/49. But there are other possible outcomes which have to be considered to come to the correct answer.
There are 4 possible outcomes, as follows (although the chances of these outcomes are different):
Comb Chances
RR …….. 16/49
RB …….. 12/49
BR …….. 12/49
BB ……… 9/49
total …….. 49/49
So we can say that the chances of drawing red marbles on each draw are 16/49, and the chances of drawing blue ones on each draw are 9/49. But what about the chances of drawing either both red OR both blue?
I believe we can simply add the 2 probabilities together to come up with a probability of
Ken Warren, former Accountant at Various (1977-2016)
Answered February 6, 2020
Originally Answered: There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting 2 of the same colour?
Probability of two reds = 4/7 x 4/7 = 16/49 = 32.65%
Probability of two blues = 3/7 x 3/7 = 9/49
Probability of the same colour = 25 / 49 = 51.0 %
Step-by-step explanation:
Please help and show work only do the left side
bottom was cut off a bit its 4=b
What is the value of the expression below when x=4 2x^2+x-5
what kind of triangle is bcd
Answer:
C. obtuse
Step-by-step explanation:
Obstuse is a triangle with ONE angle bigger than 90 degrees.
The triangle ΔBCD will be an acute triangle. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The measure of the angle BCD is 70°. And the exterior angle of the angle BDC is 130°. The sum of the interior and exterior angles is 180°. Then the measure of the angle BDC will be
∠BDC + 130° = 180°
∠BDC = 50°
Then the measure of angle CBD will be given as,
∠CBD + ∠BDC + ∠DCB = 180°
∠CBD + 70° + 50° = 180°
∠CBD = 60°
The measure of all the angles of the triangle is less than 90°. Then the triangle ΔBCD will be an acute triangle. Then the correct option is B.
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How far apart are southville and westfield if southville is 57 mi due south of portland and westfield is 76 mi due west of portland?.
The distance from Southville to Westfield is 95 miles.
How to find the distance?
Let's say that Portland is the origin of the coordinate axis, East is the positive x-axis and North is the positive y-axis.
Westfield is 76 mi due west of Portland, then Westfield's position is:
(76mi, 0mi).
Southville is 57 mi due south of Portland, then its position is:
(0mi, 76mi)
The distance between these two points is given by:
\(D=\sqrt{(76mi-0mi)^2+(0mi-(-57mi)^2}\) = 95 miles.
So the distance from Southville to Westfield is 95 miles.
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What is a geometric sequence with a fifth term of 1/3 and a constant ratio of 1/3
The geometric sequence with a fifth term of 1/3 and a constant ratio of 1/3 is Tn = (1/3)^-4 * (1/3)^n
How to determine the geometric sequence?The given parameters are:
Fifth term, T5 = 1/3
Constant ratio, r = 1/3
The nth term of a geometric sequence is
Tn = T1 * r^(n-1)
Substitute the known values in the above equation
1/3 = T1 * 1/3^4
Divide both sides by 1/3^4
T1 = (1/3)^-3
Substitute T1 = (1/3)^-3 in Tn = T1 * r^(n-1)
Tn = (1/3)^-3 * r^(n-1)
Substitute r = (1/3) in (1/3)^-3 * r^(n-1)
Tn = (1/3)^-3 * (1/3)^(n-1)
This gives
Tn = (1/3)^-4 * (1/3)^n
Hence, the geometric sequence with a fifth term of 1/3 and a constant ratio of 1/3 is Tn = (1/3)^-4 * (1/3)^n
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5. Jessie has jogged 30 miles since starting her new exercise program
plans to continue jogging 6 miles every day for the next x days,
Which expression below represents the total amount of miles that she will
have jogged after x days?
A. *(30 + 6)
B. 6(x + 30)
C. 6x + 30
D. 6 + 30x
Answer:
C
Step-by-step explanation:
30 is the b in this equation which represents the number of miles she has already jogged. 6 represents the number of miles she jogs every day for x amount of days. x could be 5, in which case it would be represented as 6*5+30=60. But since we don't know what x is, it is just 6x+30.
Leila wants to rent a boat and spend at most $93. The boat costs $8 per hour, and Leila has a discount coupon for $3 off. What are the possible numbers of
hours Leila could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
0 ≤ t ≤ 18
Step-by-step explanation:
The cost of renting the boat without any discount is $8 per hour. However, Leila has a discount coupon for $3 off, so the effective cost per hour would be $8 - $3 = $5.
Let's assume Leila rents the boat for t hours. The total cost of renting the boat for t hours would be $5 multiplied by t, which is 5t.
According to the problem, Leila wants to spend at most $93. Therefore, we can set up the following inequality:
5t ≤ 93
This inequality represents the condition that the total cost of renting the boat (5t) should be less than or equal to $93.
Simplifying the inequality:
5t ≤ 93
Dividing both sides by 5 (since the coefficient of t is 5):
t ≤ 93/5
t ≤ 18.6
Since we cannot rent the boat for a fraction of an hour, we can round down the decimal value to the nearest whole number:
t ≤ 18
0 ≤ t ≤ 18
Answer: 0≤t≤12
Step-by-step explanation:
(I’m not sure if it’s 5 dollars off per hour, or total, but here’s what I did!)
If Leila has a $3 coupon, than she can spend +$3 because when you get a coupon, you can spend more, so 93+3 is equal to 96, now we just divide by 8 (because a boat costs $8 per hour) and we get 96/8=12.
Then, in inequality form it’s t≤12, because she can rent the boat for at most 12 hours, you could also do 0≤t≤12, because you can’t rent it for a negative amount of time, but either works.
What's the circumference of a
circle with a radius of 6 inches?
Use 3.14
C = [?] inches
Answer:
37.7
Step-by-step explanation:
Answer:
C=2πr=2·π·6≈37.69911in
Please help I’ll give brainliest!!
Answer:
(x+2)(2x+7)
Step-by-step explanation:
worked it out
100 POINTS
A data set comparing a woman's shoe size to her height is represented by the table. Shoe Size Height (inches) 7.5 63 8 70.5 12 68 7 71 9 69.5 10 70 12 75 12.5 63 14 72 Using technology, calculate the line of best fit. Identify and interpret the slope in this scenario. The slope of the line of best fit is 0.25. Each time the shoe size increases by one, the height increases by 0.25 inches. The slope of the line of best fit is 0.25. Each time the shoe size increases by 0.25, the height increases by one inch. The slope of the line of best fit is 66.6. Each time the shoe size increases by one, the height increases by 66.6 inches. The slope of the line of best fit is 66.6. Each time the shoe size increases by 66.6, the height increases by one inch.
Based on the scatter plot, the meaning of the slope in this scenario is that: The slope of the line of best fit is 0.25. Each time the shoe size increases by one, the height increases by 0.25 inches.
How to identify and interpret the slope?In this scenario, the woman's shoe size would be plotted on the x-axis of the scatter plot while her height would be plotted on the y-axis of the scatter plot.
From the Excel sheet, you should right click on a data point on the scatter plot, select format trend line (line of best fit) and then tick the box to display an equation for the line of best fit on the chart.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that an equation for the line of best fit is given by:
y = 0.25x + 66.6
In conclusion, the slope of this line is 0.25, which implies that when the shoe size is increased by one (1), the height is increased by 0.25 inches.
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