Answer:
4
Step-by-step explanation:
The equation for the volume of a sphere is \(\frac{4}{3}\)\(\pi r^3\).
\(\frac{4}{3} \pi r^3 = 33.5\)
\(r^3 = \frac{33.5*3}{4\pi} \\r = \sqrt[3]{\frac{33.5*3}{4\pi} }\\r = 2\\2 * r = 2 * 2 = 4\)
Explain in words the graphical transformations that f(x) undergoes to become
f(x + 9) − 1.
The transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.
What is transformation?A Transformation in Math is a process of moving an object (two-dimensional shape) from its original position to a new position.
Given that, a function f(x) undergo some transformations to become f(x+9)-1,
We know that,
Vertical Shifting:
Adding a constant to a function will shift its graph vertically (i.e. y = f (x) + c). Adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.
Horizontal Shifting:
Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.
Therefore, there is transformation of a horizontal and vertical shift.
Hence, the transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.
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8. Preston brushes his teeth for 9.562 seconds. a) What is his brushing time rounded to the nearest tenth? b) To the nearest hundredth? c) To the nearest whole number? d) Write his time in expanded notation.
Answer:
a) 9.6 b)9.56 c)9
Step-by-step explanation:
The sum of the first four terms of an arithmetic sequence is $10$. If the fifth term is $5$, what is the sixth term?
The sixth term of an arithmetic sequence is 6
How to find arithmetic sequence?The sum of the first four terms of an arithmetic sequence is 10.
The fifth term is 5.
Therefore,
sum of term = n / 2(2a + (n - 1)d)
where
a = first termd = common differencen = number of termsTherefore,
n = 4
10 = 4 / 2 (2a + 3d)
10 = 2(2a + 3d)
10 = 4a + 6d
4a + 6d = 10
a + 4d = 5
4a + 6d = 10
4a + 16d = 20
10d = 10
d = 1
a + 4(1) = 5
a = 1
Therefore,
6th term = a + 5d
6th term = 1 + 5(1)
6th term = 6
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You have one red apple and three green apples in a
bowl. You randomly select one apple to eat now and
another apple for your lunch. Use a sample space to
determine whether randomly selecting a green apple
first and randomly selecting a green apple second are
independent events.
Answer: vvvvv
Step-by-step explanation:
Let R1 and G1 represent the red and green apples available for the first selection, respectively. Similarly, let R2, G2a, and G2b represent the red and two green apples available for the second selection, respectively. Then, the sample space for the two selections is:
{(R1, R2), (R1, G2a), (R1, G2b), (G1, R2), (G1, G2a), (G1, G2b)}
Out of these six outcomes, only two involve selecting a green apple first: (G1, R2) and (G1, G2a). And out of these two outcomes, only one involves selecting a green apple second: (G1, G2a).
Therefore, since the probability of selecting a green apple second changes based on whether a green apple was selected first, the events of selecting a green apple first and selecting a green apple second are dependent.
ITS EASY PLS HELP !!!
Answer: i have no idea
Step-by-step explanation:
Complete the following proof.
Answer:
BD = CA ⇒ Proved down
Step-by-step explanation:
From the given figure
∵ AB and CD are diameters in circle O
∴ OB = OA = OC = OD ⇒ radii
∵ AB ∩ CD at O
∴ ∠BOD and ∠COA are vertically opposite angles
∵ The vertically opposite angles are equal in measures
∴ m∠BOD = m∠COA
→ In Δ OBD and Δ OCA
∵ m∠BOD = m∠COA ⇒ vertically opposite angles
∵ OB = OC ⇒ radii
∵ OD = OA ⇒ radii
∴ Δ OBD and Δ OCA are congruent by SAS postulate
→ From congruency
∴ BD = CA
Question provided in attachment.
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.
How to calculate the valueSample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18
= 480 / 18
≈ 26.667
Sample Standard Deviation (s):
= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))
≈ ✓(319.778 / 17)
≈ ✓(18.81)
≈ 4.336
Confidence level = 99%
Sample Size (n) = 18
Sample Mean = 26.667
Sample Standard Deviation (s) = 4.336
Degrees of Freedom (df) = n - 1 = 18 - 1 = 17
Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.
Margin of Error (E) = 2.898 * (4.336 / ✓18))
≈ 3.748
Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)
= (22.919, 30.415)
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.
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For Exercises 1 and 2, use the table. It shows the types of
and prices of Jolly Juice Orange Juice.
Bottles of Jolly Juice Orange Juic
Containers
Price
8 oz
$0.96
16 oz
$1.60
32 oz
$2.56
64 oz
$3.84
1. Find the unit rate for an 8-ounce
container of Jolly Juice. Explain your
answer.
2. Find the unit rate for each size. Then order the sizes from least to greatest unit rate
Answer:
I have 5 apples and give u 2 how much I have
The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below.
The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
How to identify the transformation?The functions for this problem are defined as follows:
Parent function: y = |x|.Transformed function: y = 2|x|.When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.
Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
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An airline ticket costs $220. Jameson receives a 10% discount on the ticket but is also charged an 8.25% service fee. what is the discounted price of the ticket? What is the total cost of the ticket with the discount and service fee?
The discounted price of the ticket is $198.
The total cost of the ticket with the discount and service fee is $214.33.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."
Given:
The cost of a ticket on an airline is $220.
And Jameson receives a discount of 10%.
To find the discounted price:
The discounted price = 220 - 220 x 10 / 100
The discounted price = $198.
And the service charge is 8.25%.
So, the amount of service charge,
= 198 x 8.25/100
= 16.33
The total cost of a ticket = $198 + $16.33 = $214.33
Therefore, the cost is $214.33.
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what is 11/4 times 4/9
Answer: 11/9
Step-by-step explanation:
you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9
Answer:
11/4 times 4/9 is 11/9
Step-by-step explanation:
We have to find,
(11/4) times 4/9
\((11/4)(4/9) = (11*4/4*9)\)
We can cancel the 4s from the numeratorand denominator to get,
\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)
The answer is 11/9
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
Dana‘s dozen muffins bran muffins two total muffins 6chocolate chip
3 bran
2 banana nut
1 blueberry
Answer:
2 i think and 1
Step-by-step explanation:
hope it helps ☺️ tnxx
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Please help me this is hard
41°
40°
X
X
O 40
39
0 41
Answer:
39
Step-by-step explanation:
just had it.
How many centiliters are in 0.00005 liters?
0.00005 L = [?] cL in standard form.
The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.
What is the number of centilitres in 0.00005 litres?Recall that; it follows from metric systems that;
100 centilitres = 1 litres.
On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;
= 0.00005 × 100 centilitres
= 0.005 centilitres.
Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.
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Can y’all help me pls
Answer:Sure, what do you need help with
Step by step explanation:
Sure, what do you need help with
A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answer:
114.29
Step-by-step explanation:
A class has 10 students with ages 3 3 3 3 3 4 4 4 4 5. If a student is chosen randomly, the probability of the student being age 3 is 5/10 or 0.5, age 4 is 4/10 or 0.4, and age 5 is 1/10 or 0.1. What is the expected age of a randomly chosen student?
Answer:
3.
Step-by-step explanation:
because they have more change to be pick wife they have more higher percentage of the class
Picture included!!! Please help! Suppose a = 10 and b = 24. Give the value of each of the following. Give answers as integers or rounded to 2 decimal places as appropriate.
Answer:
A = 22.62°
B = 67.38°
c = 26
Step-by-step explanation:
\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)
\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios
\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)
There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.
A parallogram is ______________ a rectangle.
a
sometimes
b
always
c
never
Answer:
sometimes a square could be a parallelogram too and a rhombus and a normal parallelogram
Step-by-step explanation:
it has two parallel pairs
Quotient of 17.4 ÷ 0.2
Answer:
87
Step-by-step explanation:
Hope this helps! Pls give brainliest!
{362 – [6x3 + (48 ÷ 2) x 2]} + 3(9 +4)
Answer:
335
Step-by-step explanation:
Brep
Lawrence’s father gave him 200 baseball cards. Each week, Lawrence purchases 25 baseball cards to add to his collection.
Which inequality can be used to find w, the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection?
Answer:
25w+200>750
Step-by-step explanation:
Lawrence gets 25 cards a week, so you can mark this as 25w.
Next, he also started with 200 from his father, so you can add +200.
Lastly, you're calculating how many weeks it would take until he had over 750 cards. So the inequality would be >750.
Add them all up and you get 25w+200>750.
can anyone help me with this please! Serious plz lol
I hope this helps you
Find the average rate of change of g(x) with respect to x over the intervals [1, 2], [1, 1.5] and [1,1 + h).
The average rate of change of g(x) with respect to x over the intervals [1, 2], [1, 1.5], and [1, 1+h) are 3, 2, and 3 - 2/h, respectively.
To find the average rate of change of g(x) with respect to x over the given intervals, we can use the formula:
average rate of change = (change in output)/(change in input)
where "change in output" is the difference between the output values at the endpoints of the interval, and "change in input" is the difference between the input values at the endpoints of the interval.
For the function g(x), let's assume we have the following values:
g(1) = 3
g(1.5) = 4
g(2) = 6
g(1+h) = 3h + 1
Then we can calculate the average rate of change over the intervals as follows:
[1, 2]:
change in output = g(2) - g(1) = 6 - 3 = 3
change in input = 2 - 1 = 1
average rate of change = (change in output)/(change in input) = 3/1 = 3
[1, 1.5]:
change in output = g(1.5) - g(1) = 4 - 3 = 1
change in input = 1.5 - 1 = 0.5
average rate of change = (change in output)/(change in input) = 1/0.5 = 2
[1, 1+h):
change in output = g(1+h) - g(1) = (3h + 1) - 3 = 3h - 2
change in input = 1+h - 1 = h
average rate of change = (change in output)/(change in input) = (3h-2)/h = 3 - 2/h
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Higher Order Thinking Mrs. Dryson
divided her collection of 52 glass
bears
into equal groups. She had 1 bear
left over. How many groups did
Mrs. Dryson
make? How many bears
are in
each group?
To ensure that there is an equal number of glass bears in each group, Mrs. Dryson constructed a total of 17 groups, which can be calculated using arithmetic operations.
What is arithmetic operations?
The study and application of numbers in all other fields of mathematics are covered in the area of mathematics known as arithmetic operations. Addition, subtraction, multiplication, and division are included in the basic operations.
As given in the question,
Mrs. Dryson divided her collection of 52 glass bears into equal groups and She had one bear left over
The steps listed below can be used to calculate the total amount of Mrs. Dryson's products:
Step 1: Arithmetic operations can be utilized to calculate Mrs. Dryson's overall output.
Step 2: Keep in mind that there are 52 glass bears in all, and after separating them into equal groups, she was left with just one bear.
Step 3 - The total bear population to divide into groups of an equal number is calculated as follows:
= 52 - 1 = 51
Step 4: The number that is divided by 51 such that the result is an integer is 3.
Step 5 - As a result, Mrs. Dryson created a total of the following groups:
= 51/3 = 17.
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An insurance company offers an ordinary annuity that earns 6.5% interest compounded annually. A couple plans to make equal annual deposits into this account for 30 years and then make 20 equal annual withdrawals of €25,000, reducing the balance of the account to zero.
(i) Compute the value of the fund based on the withdrawals required. [5 marks]
(ii) Compute the amount of each deposit needed in order to maintain the fund. [5 marks]
(iii) Compute the total interest earned over the entire 50 years. [5 marks]
Answer:
(i) To compute the value of the fund based on the withdrawals required, we can use the formula for the future value of an annuity due:
FV = P * ((1 + r)^n - 1) / r) * (1 + r)
where FV is the future value of the annuity, P is the annual payment, r is the interest rate per period, n is the total number of periods, and the extra (1 + r) factor is because the payments are made at the beginning of each period.
In this case, P = €25,000, r = 0.065, n = 20. We want to find the future value at the end of the 20-year period:
FV = 25000 * ((1 + 0.065)^20 - 1) / 0.065) * (1 + 0.065)
FV ≈ €743,704.96
Therefore, the value of the fund based on the withdrawals required is approximately €743,704.96.
(ii) To compute the amount of each deposit needed in order to maintain the fund, we can use the formula for the present value of an ordinary annuity:
PV = P * ((1 - (1 + r)^(-n)) / r)
where PV is the present value of the annuity, P is the annual payment, r is the interest rate per period, and n is the total number of periods.
In this case, PV = €743,704.96, r = 0.065, n = 20. We want to find the annual payment:
PV = P * ((1 - (1 + 0.065)^(-20)) / 0.065)
P ≈ €22,630.53
Therefore, the amount of each deposit needed in order to maintain the fund is approximately €22,630.53.
(iii) To compute the total interest earned over the entire 50 years, we can subtract the total deposits from the total withdrawals, and then subtract the initial balance. The total deposits are the annual deposit amount times the number of years (30), and the total withdrawals are the annual withdrawal amount times the number of years (20). The initial balance is the present value of the annuity that we calculated in part (ii).
Total deposits = €22,630.53 * 30 = €678,915.90
Total withdrawals = €25,000 * 20 = €500,000
Initial balance = €743,704.96
Total interest earned = Total withdrawals - Total deposits - Initial balance
Total interest earned = €500,000 - €678,915.90 - €743,704.96
Total interest earned ≈ -€922,620.86
Note that the negative sign indicates that the insurance company actually earned interest on this annuity, rather than the couple earning interest on their investment. This is because the withdrawals are greater than the deposits, and the interest rate earned by the insurance company is greater than the interest rate paid to the couple.
Step-by-step explanation:
Given the set S = {a, b, c, d}, answer the following.
(a) How many one-element subsets does S have?
(b) How many two-element subsets does S have?
(c) How many three-element subsets does S have?
(d) How many four-element subsets does S have?
(e) How many zero-element subsets does S have?
(f) How many subsets does S have?
(g) If
n(S) = k,
how many subsets will S have?
Answer:
Step-by-step explanation: