Answer:
assuming 9 cents per share
so 90 * 9 = 810 cents
8.10 dollars
Michaela’s favorite fruit to snack on is the “cotton candy grape.” She has $20 to spend on a gallon of cider that costs $3.50 and can spend the rest of her money on cotton candy grapes. The grapes cost $3.75 per pound. How many pounds of grapes can Michaela buy without spending more than the rest of the money after buying the cider?
Answer:
So, to answer this problem, we first have to get rid of the cider cost.
$20-$3.50=$16.50
Since we have $16.50 left, now we have to see how much cotton candy grapes Michaela can buy.
1 pound- $3.75
2 pound- $7.50
3 pound- $11.25
4 pound- $15
5 pound- $18.75
When Michaela buys 5 pounds of grapes, she gets a cost of $18.75.
Since $18.75 is $2.25 more than $16.50, the only option she can choose is 4 pounds.
When Michaela buys 4 pounds, she will spend $15 and she will still have $1.50 left. (If there is no tax.)
In summary, Micheala can buy 4 pounds of grapes without spending more than the rest of the money after buying cider.
(By the way, I LOVE cotton candy grapes.)
Hope this helps!
:)
Help please:)
Graph the equation by plotting points.
X=4
Answer:
(4,0)
Step-by-step explanation:
You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!
I NEED HELP PLEASE !!
A. Yes, it's true that the domain is {x | x is a real number}.
B. No, the range of f is (-∞, 0].
C. No, f is only decreasing over the interval (0, ∞).
D. Yes, The point (0,0) is a maximum.
E. No, since (0,0) is already a maximum and it's a zero so there is only one x-intercept.
In a cave, a stalactite gets 44 millimeters longer each year. This year it is 7272 centimeters long. How many years until it is 11 meter long?
Answer:
3 years
Step-by-step explanation:
4 meters long a year, 4*3=12
HELP FAST
10 ft
8 ft
10 ft
6 ft
Calculate the area of this figure to the
nearest tenth.
A = [? ] ft2
Answer:
104^2 ft
Step-by-step explanation:
Let's calculate it in two steps
1.
To find the area of a triangle we multiply height with base and that divided by two
8 × 6 ÷ 2 = 24^2 ft
2.
To find the area of a rectangle we multiply width and length
10 × 8 = 80^2 fr
Now find thd sum
24 + 80 = 104
The same exponential growth function can be written in the forms y() - yo e t, y(t)- yo(1 r, and y) yo2 2. Write k as a function of r, r as a function of T2, and T2 as a function of k Write k as a function of r. k(r)-
Answer:
\((a)\ k(r) = \ln(1+r)\)
\((b)\ r(T_2) = 2^{1/T_2}-1\)
\((c)\ T_2(k) = \frac{\ln(2)}{k}\)
Step-by-step explanation:
Given
\(y(t) = y_0e^{kt}\)
\(y(t) = y_0(1+r)^t\)
\(y(t) = y_02^{t/T_2}\)
Solving (a): k(r)
Equate \(y(t) = y_0e^{kt}\) and \(y(t) = y_0(1+r)^t\)
\(y_0e^{kt} = y_0(1+r)^t\)
Cancel out common terms
\(e^{kt} = (1+r)^t\)
Take ln of both sides
\(\ln(e^{kt}) = \ln((1+r)^t)\)
Rewrite as:
\(kt\ln(e) = t\ln(1+r)\)
Divide both sides by t
\(k = \ln(1+r)\)
Hence:
\(k(r) = \ln(1+r)\)
Solving (b): r(T2)
Equate \(y(t) = y_02^{t/T_2}\) and \(y(t) = y_0(1+r)^t\)
\(y_0(1+r)^t = y_02^{t/T_2}\)
Cancel out common terms
\((1+r)^t = 2^{t/T_2}\)
Take t th root of both sides
\((1+r)^{t*1/t} = 2^{t/T_2*1/t}\)
\(1+r = 2^{1/T_2}\)
Make r the subject
\(r = 2^{1/T_2}-1\)
Hence:
\(r(T_2) = 2^{1/T_2}-1\)
Solving (c): T2(k)
Equate \(y(t) = y_02^{t/T_2}\) and \(y(t) = y_0e^{kt}\)
\(y_02^{t/T_2} = y_0e^{kt}\)
Cancel out common terms
\(2^{t/T_2} = e^{kt}\)
Take ln of both sides
\(\ln(2^{t/T_2}) = \ln(e^{kt})\)
Rewrite as:
\(\frac{t}{T_2} * \ln(2) = kt\ln(e)\)
\(\frac{t}{T_2} * \ln(2) = kt*1\)
\(\frac{t}{T_2} * \ln(2) = kt\)
Divide both sides by t
\(\frac{1}{T_2} * \ln(2) = k\)
Cross multiply
\(kT_2 = \ln(2)\)
Make T2 the subject
\(T_2 = \frac{\ln(2)}{k}\)
Hence:
\(T_2(k) = \frac{\ln(2)}{k}\)
A survey of 800 randomly selected adults in a certain country found that 82% believed that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
a. Verify the Central Limit Theorem conditions.
b. Find a 95% confidence interval for the proportion of adults in the country who believe that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
c. Would a 90% confidence interval based on this sample be wider or narrower than the 95%
interval? Give a reason for your answer.
a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c) . A 90% confidence interval would be wider than the 95% interval
How to Verify the Central Limit Theorem conditions.To verify the Central Limit Theorem (CLT) conditions, we need to check the following:
1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.
2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.
3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.
Therefore, the Central Limit Theorem conditions are met.
b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:
CI = p ± z * √(p(1-p)/n)
where:
- p is the sample proportion (82% or 0.82 in decimal form).
- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.
- n is the sample size (800).
Calculating the confidence interval:
CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)
CI = 0.82 ± 1.96 * √(0.82*0.18/800)
CI = 0.82 ± 1.96 * √(0.1476/800)
CI = 0.82 ± 1.96 * √0.0001845
CI ≈ 0.82 ± 1.96 * 0.01358
CI ≈ 0.82 ± 0.0266
The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.
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How can you use the formula for area of a
parallelogram to determine the area of a trapezoid if you forgot the
formula for area of a trapezoid.
Answer:
Step-by-step explanation:
The area of a parallelogram of width W and length L is A = W*L.
The area of a trapezoid of width W and different side lengths L1 and L2 is
A = W(L1 + L2)/2.
To find the area of the trapezoid, take the average of the lengths L1 and L2 of the two parallel sides and call the result L. Then apply the formula for the area of a parallelogram, given above).
Which statement is true about the graphed function
Vehicles generally decrease in value around 14% per year. If you buy a vehicle priced at $39,500 , this can be modeled by the equation A=39500(0.86)t . Estimate the value of the vehicle after 4 years. Round to the nearest cent and do not round until the final calculation.
Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..
To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.
Substituting t = 4 into the equation:
A = 39500(0.86)^4
A ≈ 39500(0.5996)
A ≈ 23726.20
Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.
This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.
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Someone please help and show work
Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.
11+13+14+16+17+18+20+20+21+24+25+29 = 228
There are 12 numbers, so divide by 12.
228/12 = 19. The mean is 19.
Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.
(Side note: yes, median and mean can be the same.)
Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.
Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.
Given the equation, proof it
Answer:
Step-by-step explanation:
I forgot to add the last reason is AAS (two angles one side are congruent = triangles are congruent)
S.
1.Given
2. AE = EC
3. <AEB = <CED
4. <CDE = <ABE
5. triangles congruent
R.
1. Given
2. Segment bisector theorem
3. Vertical angles theorem
4. PAI Theorem
Hope this helps!
Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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During a certain 11-year period, the Consumer Price Index (CPI) increased by
55%, but during the next 11-year period, it increased by only 15%. Which of
these conditions must have existed during the second 11-year period?
A. Stagnation
B. Inflation
C. Deflation
D. Conflation
Answer:
B. Inflation
Step-by-step explanation:
Inflation refers to the increase in the price level or we can say in the other words that the prices are increased or rise in the goods and services of the particular economy
Moreover, if the inflation increased the buying power of the consumers goes decline
As in the given situation, the Consumer price index is increased by 55% but it is only increased by 15% for the next 15 year period
So this scenario shows the inflation situation
hence, the correct option is B. inflation
Please see my question in the attachment, thanks
As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.
What is a vertical asymptote?In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).
By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.
In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;
As x → -1⁻, f(x) → ∞.
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How dO i solve 52495-1241
Answer:
5 2 4 9 5 - 1 2 4 1= 5 1 2 5 4At the ones place if you subtract one (1) from five (5) you get four (4).
At the tens place if you subtract four (4) from (9) you get five (5).
At the hundreds place if you subtract two (2) from four (4) you get two (2).
At the thousands place if you subtract one (1) from two (2) you get one (1).
At the ten thousands place if you subtract zero (0 - there is no number at the ten thousands place of the subtrahend. And zero which stands for none can be taken in case of any confusion.)
Therefore, that gives us the difference of 1241 from 52495 as 51,254.Hope this helps you...
Hope you have a nice day ahead...
Which graph represents 12 = 3x + 4y line a, line b, line c
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
Can someone help me with this question?
Answer:
6×2/5 --> greater than 1
1×3/8 --> less than 1
4×1/4 --> equal to 1
5×3/4 --> greater than 1
2×1/2 --> equal to 1
3×1/3 --> equal to 1
Step-by-step explanation:
6×2/5 = 12/5 = 2 2/5
1×3/8 = 3/8
4×1/4 = 1
5×3/4 = 23/4 = 5 3/4
2×1/2 = 1
3×1/3 = 1
find the coordinates of B" after the composition of transformations given by the rule T-2,4° ry-axis. show your work.
Answer:
B''(8, -3)Step-by-step explanation:
Coordinates of point B = (-6, -7)
Transformation applied:
1. Translation T(-2, 4)
(x, y) → (x - 2, y + 4)B(-6, -7) → B'(-6 - 2, -7 + 4) = B'(-8, -3)2. Reflection over y axis:
(x, y) → (-x, y)B'(-8, -3) → B''(-8*(-1), -3) = B''(8, -3)what is the value of i^n if the remainder of n/4 is 3
Answer:
so simple! n÷4=remainder 3.
2n÷4=3×2=6.
HOPE THIS HELPS AND PLSSS PLSSS MARK AS BRAINLIEST
THNXX :)
The value of iⁿ is -1 \(i^n\) = \(-i\).
What are Complex Numbers?Complex numbers are numbers which are of the form \(a + ib\), where a and b are real numbers and i is the imaginary number called iota whose value is \(i^2\) = -1.
We have to find the value of iⁿ if the remainder of n/4 is 3.
The remainder of n/4 is 3 means that the value of n is 1 less than the multiple of 4.
When 1 is taken less to any of the multiple of 4, then the number will be an odd number.
So n is an odd number.
Now, the value of \(i^2\) = -1.
\(i^3\) = \(i^2\) × \(i\) = \(-i\)
\(i^4\) = \(-i\) × \(i\) = \(-i^2\) = 1
From the pattern it is seen that any number, n which is 1 less than the multiple of 4 will have, \(i^n\) = \(-i\).
Hence the value of \(i^n\) = \(-i\).
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Sheet Metal Trades To determine the average thickness of a metal sheet, a Sheet metal worker measures it at five different locations. Her measurements are 0.0401, 0.0417, 0.0462, 0.0407, and 0.0428 in. What is the average thickness of the sheet?
The average thickness of the metal sheet is 0.0423 inches.
What do you mean by average?In statistics, the mean is a measure of central tendency of a set of data. It is also referred to as the arithmetic mean and is calculated by adding up all the values in the data set and dividing by the total number of values.
Mean = (sum of all values) / (number of values)
For example, suppose we have the following set of data: 5, 7, 9, 11, 13. To find the mean, we add up all the values and divide by the total number of values, which is 5 in this case:
Mean = (5 + 7 + 9 + 11 + 13) / 5
Mean = 9
Therefore, the mean of this data set is 9.
The mean is a commonly used measure of central tendency because it takes into account all the values in the data set and is sensitive to changes in the data. However, it can be affected by outliers or extreme values in the data set, which can skew the results.
To find the average thickness of the sheet, we need to add the five measurements together and then divide by 5 (the number of measurements):
Average thickness = (0.0401 + 0.0417 + 0.0462 + 0.0407 + 0.0428) / 5
Average thickness = 0.0423 in
Therefore, the average thickness of the metal sheet is 0.0423 inches.
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Find the exact value of each of the remaining trigonometric functions of θ. Rationalize denominators when applicable.
secθ=−8, given that sinθ>0
The exact values of the remaining trigonometric functions of θ are:
sin(θ) = √(1/64)
cos(θ) = -8
tan(θ) = -8√(1/64)
csc(θ) = 1
cot(θ) = -√(1/64) / 8
Given that sec(θ) = -8 and sin(θ) > 0, we can find the exact values of the remaining trigonometric functions using the Pythagorean identity:
sec^2(θ) = 1/sin^2(θ)
Substituting the value of sec(θ), we have:
(-8)^2 = 1/sin^2(θ)
64 = 1/sin^2(θ)
sin^2(θ) = 1/64
sin(θ) = ±√(1/64)
Since sin(θ) > 0, we take the positive square root:
sin(θ) = √(1/64)
Next, we use the reciprocal identity for cosecant:
csc(θ) = 1/sin(θ)
Substituting the value of sin(θ), we have:
csc(θ) = 1/√(1/64) = 8√(1/64) = 8/√(64) = 8/8 = 1
Next, we use the reciprocal identity for cotangent:
cot(θ) = 1/tan(θ)
We can find the value of tan(θ) using the definition:
tan(θ) = sin(θ) / cos(θ)
Substituting the values of sin(θ) and cos(θ), we have:
tan(θ) = √(1/64) / (-8) = -√(1/64) / 8
Finally, we use the reciprocal identity for a tangent:
tan(θ) = 1/cot(θ)
Substituting the value of cot(θ), we have:
tan(θ) = -8√(1/64)
Therefore, the exact values of the remaining trigonometric functions of θ are:
sin(θ) = √(1/64)
cos(θ) = -8
tan(θ) = -8√(1/64)
csc(θ) = 1
cot(θ) = -√(1/64) / 8
The complete question is:-
Find the exact value of each of the remaining trigonometric functions of
θ. Rationalize denominators when applicable.
secθ=−8, given that sinθ>0
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15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
5. The table shows the weights of bananas at a grocery store. number of bananas weight in pounds
Answer:
i like bananas
Step-by-step explanation:
Answer:
3=0.96 12= 3.84
Step-by-step explanation: 5/1.6= 0.32
0.32 times 3 =0.6 and 0.32 times 12= 3.84
!!!!PLEASE HELPPPP ITS DUE SOON!!!!
Answer:
can u please attach the photo
Step-by-step explanation:
i cannot see it clearly
A gallon of gas cost $2.16. Rob buys 13.5 gallons of gas. How much did he pay?
Answer:
$29.16
Step-by-step explanation:
Each gallon of gas is $2.16.
13.5 gallons of gas is 2.16 (13.5) = $29.16.
Keith receives $25000 salary for working as a account. If keith spends 40% of his salary on expenses each year, then how much money does Keith have to spend on expenses? Round your answer to the nearest whole number if necessary.
Answer:
$25000 * 40% = 100.000
Step-by-step explanation:
Need help with proofs, anyone know how?
Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.
Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;
MS ≅ QSNS ≅ RSMN ≅ QN ∠NMS and ∠NQSΔMNS ≅ ΔQNSRead more on perpendicular bisectors here: brainly.com/question/19154899
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Complete Question:
The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS
We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.
NS and NS
NS and RS
MS and RS
MS and QS