Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The word basketball has 10 letters.
b is one of them, hence P(A) = 1/10 = 0.1.Then, of the 9 letters, 3 will be vowels, hence P(B|A) = 3/9 = 1/3 = 0.3333.Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:
[tex]P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
Answer: 2/45
The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.
Simplify 13 < z +5
Solve the inequality for z
First of all, subtract 5 from both sides:-
13-5<z+5-5
13-5<z
8<z
Since 8 is less than z, z is greater than 8:-
[tex]\bigstar{\boxed{\pmb{z > 8}}[/tex]
Hence, all the numbers greater than 8 will make this inequality true.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Answer:
Let's solve your inequality step-by-step.
13<z+5
Step 1: Flip the equation.
z+5>13
Step 2: Subtract 5 from both sides.
z+5−5>13−5
z>8
Answer:
z>8
Step-by-step explanation:
Write a proportion for the statement.
$118 per week is proportional to $472 per 4 weeks. The proportion is _____?
A proportion is a mathematical comparison between two ratios.
A ratio is a comparison between two numbers.
For instance, the ratio of apples to bananas in a fruit basket is 1 apple to 2 bananas:
[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}[/tex]This is proportional to the ratio of apples to bananas in another fruit basket, which is 2 apples to 4 bananas:
[tex]\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex]To write a proportion from this information, we can compare the ratios by makign them equal to each other:
[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}=\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex][tex]\dfrac{1}{2}=\dfrac{2}{4}[/tex]Solving the QuestionWe're given:
$118 per week$472 per 4 weeksThese are proportional$118 per week is one ratio:
[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}[/tex]$472 per 4 weeks is another ratio:
[tex]\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}[/tex]Now, set them equal to each other to create a proportion:
[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}=\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}\\\\\dfrac{118}{1}=\dfrac{472}{4}[/tex]Answer:Therefore, the proportion is [tex]\dfrac{118}{1}=\dfrac{472}{4}[/tex].
The basketball team has four players who can play the center position. Their heights (in
inches) are 78, 80, 77, and 80.
a) List all 6 possible SRSs of size n = 2, calculate the mean height for each sample.
b) Display the sampling distribution of the sample mean on a dotplot.
c) If the sample size was increased to n = 3, what would happen to the sampling distribution?
(statistics)
The mean height for each sample from the basketball team will be 79, 77.5, 79, 78.5, 80, and 78.5
How to calculate mean?For sample 1, the mean will be:
= (78 + 80)/2 = 79.
For sample 2, the mean will be:
= (78 + 77)/2 = 77.5
For sample 3, the mean will be:
= (78 + 80)/2 = 79
For sample 4, the mean will be:
= (80 + 77)/2 = 78.5
For sample 5, the mean will be:
= (80 + 80)/2 = 80
For sample 6, the mean will be:
= (77 + 80)/2 = 78.5
When the sample size was increased to n = 3, the shape of the sampling distribution becomes bell shaped on the population mean.
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To measure the height of the Washington Monument, a student 5.5 ft tall measures his shadow to be 4.25 ft. At the same time of day, he measured the shadow of the Washington Monument to be 430 ft
long. Use a calculator to estimate the height of the monument to the nearest foot.
The Washington Monument is approximately ________ft tall?
Answer:
OK, Well to solve this first,
Set up a ratio:
height of the student/student shadow length = height of the monument/monument shadow length
height of the monument = x
6ft./4.75ft = x/435ft.
cross multtiply
6 * 435 = 4.75x
2610 = 4.75x
divide by 4.75 to both sides
2610/4.75 = 4.75x/4.75
549.47 = x
There you go Slide Brainliest Please
Step-by-step explanation:
Out-of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2573e^0.0359x models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003 .
(a) Estimate out-of-pocket household spending on health care in 2008 .
(b) Determine the year when spending reached $2783 per household.
Answer:
(a) The total expenditures per household in the year 2008 were approximately $3,080.
(b) The spending reached $2875 per household in 2006.
Step-by-step explanation:
Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:
Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.
(a) Estimate out-of-pocket household spending on health care in 2008.
(b) Determine the year when spending reached $2875 per household
The explanation to the answer is now given as follows:
(a) Estimate out-of-pocket household spending on health care in 2008.
Given;
f(x) = 2574e^(0.0359x) ........................ (1)
Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.
Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:
f(6) = 2574e^(0.0359 * 5)
f(6) = 2574 * 1.19661890406748
f(6) = 3,080.09705906969
Rounding to the nearest dollar as needed, we have:
f(6) = $3,080
Therefore, the total expenditures per household in the year 2008 were approximately $3,080.
(b) Determine the year when spending reached $2875 per household
This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:
2875 = 2574e^(0.0359x)
2875 /2574 = e^(0.0359x)
1.11693861693862 = e^(0.0359x)
Taking the natural log of both sides, we have:
ln(1.11693861693862) = ln(e^(0.0359x))
0.110591565075382 = 0.0359x
x = 0.110591565075382 / 0.0359
x = 3.0805449881722
Approximating to a whole number, we have:
x = 3
Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.
Therefore, the spending reached $2875 per household in 2006.
13. Use the graph of a piecewise function with three equations. 25,000 $21,197 20,000 15,000 Tax 10,000 $5.448 -5,000 $1,045. 0 80,000 20,000 $10,450 40,000 60,000 $39,800 Taxable Income 100,000 S102,800 a. A taxpayer has a taxable income of $39,800. What is her tax? b. A taxpayer will owe $21,197. What is his taxable income?
Answer:
A. $5,448
B. $102,800
If you need the rest of the parts:
C. $4,500
D. $20,500
E. $68,000
The income tax of $5,448.
The taxable income is $102,800
What is Income Tax?The tax that is imposed on all people and corporations is called income tax. The amount of individual income taxes is determined by the individual's income. Because the burden is assumed to fall on the payers, it is typically characterised as a direct tax. Corporate income tax is charged on net profits, which are determined as the difference between allowable costs and receipts.
From the graph,
it can be observed that the taxpayer who has the taxable income of $39,800 has to pay income tax of $5,448.
Also, a taxpayer owing $21,197 means that he has to pay income tax of $21,197.
His taxable income is $102,800 as shown in the graph below.
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#SPJ2
3+3x3+3
Whats the total
21
36
15
Answer:
c. 15
Hope it helpz~
please mark me as brainliest
On August 31, 2021, Cullumber Company had a cash balance per its books of $26,420. The bank statement on that date showed a balance of $16,780. A comparison of the bank statement with the Cash account revealed the following.
1.The August 31 deposit of $17,220 was not included on the August bank statement.
2.The bank statement shows that Cullumber received EFT deposits from customers on account totalling $2,050 in August. Cullumber has not recorded any of these amounts.
3.Cheque #673 for $1,230 was outstanding on July 31. It did not clear the bank account in August. All of the cheques written in August have cleared the bank by August 31, except for cheque #710 for $2,330, and #712 for $2,220.
4.The bank statement showed on August 29 an NSF charge of $187 for a cheque issued by R. Dubai, a customer, in payment of their account. This amount included an $10 service charge by Cullumber’s bank. The company’s policy is to pass on all NSF service charges to the customer.
5.Bank service charges of $27 were included on the August statement.
6.The bank recorded cheque #705 for $137 as $173. The cheque had been issued to pay for freight out on a sale. Cullumber had correctly recorded the cheque.
Prepare a bank reconciliation at August 31
Prepare the necessary adjusting entries on August 31.
a) The preparation of the bank reconciliation statement on August 31 for Cullumber Company is as follows:
Bank Reconciliation StatementBalance as per bank statement $16,780
Add uncredited deposits of 17,220
Check #705 overstated 36
Less uncashed checks (5,780)
Adjusted bank statement balance of $28,256
b) The preparation of the necessary adjusting entries on August 31 is as follows:
Debit Cash $2,050
Credit Accounts Receivable (EFT deposits) $2,050
Debit Accounts Receivable (R. Dubai) $197
Credit NSF charges $187
Credit Service charges $10
Debit Bank service charges $27
Credit Cash $27
What is bank reconciliation?Bank reconciliation is the comparison of an entity's records with those of its bank, to uncover any differences between these two sets of records of bank transactions.
Bank reconciliation is carried out by the preparation of a bank reconciliation statement, which outlines the deposits, withdrawals, and other activities affecting a bank account for a specific period.
Data and Calculations:Cash balance per books on August 31, 2021 = $26,420
Bank statement balance = $16,780
Analysis of Discrepancies:1. Uncredited deposit = $17,220
2. EFT deposits = $2,050
3. Outstanding checks:
Check #673 = $1,230
Check #710 = $2,330
Check #712 = $2,220
Total outstanding checks = $5,780 ($1,230 + $2,330 + $2,220)
4. NSF charge = $187
Service charge = $10
5. Bank service charges = $27
6. Check #705 overstated = $36 ($173 - $137)
Adjusted Cash Account:Balance as per Cash Book $26,420
EFT deposits $2,050
Less:
NSF charge 187
Bank service charges 27 (214)
Adjusted cash book balance $28,256
Learn more about bank reconciliation statements at https://brainly.com/question/15525383
help me please
I couldn't solve it
[tex]\text{L.H.S}\\\\=\dfrac{\sin^4 A - \cos^4 A}{ \sin A + \cos A}\\\\\\=\dfrac{(\sin^2 A)^2-(\cos^2 A)^2}{\sin A + \cos A}\\\\\\=\dfrac{(\sin^2 A + \cos^2 A)(\sin^2 A-\cos^2 A)}{\sin A + \cos A}\\\\\\=\dfrac{1\cdot(\sin A+\cos A)(\sin A - \cos A)}{\sin A +\cos A}\\\\\\=\sin A - \cos A\\\\\\=\text{R.H.S}~~~ \\\\\text{Proved.}[/tex]
Answer:
heya! ^^
[tex] \\ \frac{ \sin {}^{4} (A) - \cos {}^{4} (A) }{ (\sin \: A + \cos \: A) } = ( \: sin \: A\: - \: cos \: A \: )\\[/tex]
[tex] \\LHS = \frac{ \sin {}^{4} (A) - \cos {}^{4} (A) }{ (\sin \: A + \cos \: A) } \\ \\ \frac{( \sin {}^{2} \: A + \cos {}^{2} \: A)( \sin {}^{2} A - \cos {}^{2} A) }{ (\sin \: A + \cos \: A) } \\ \\ we \: know \: that \: - \: sin {}^{2} A + cos {}^{2} A = 1 \\ \\ \therefore \: \frac{(1)(\sin {}^{2} \: A - \cos {}^{2} \: A)}{(\sin \: A + \cos \: A)} [/tex]
now , we're well aware of the algebraic identity -
[tex]a {}^{2} - b {}^{2} = (a + b)(a - b)[/tex]
using the identity in the equation above ,
[tex]\dashrightarrow \: \frac{(sin \:A - \: cos \: A)\cancel{(sin \:A + \: cos \: A )}}{\cancel{(sin \: A\: + \: cos \: A)}} \\ \\ \dashrightarrow \: (sin \: A \: - \: cos \: A) = RHS[/tex]
hence , proved ~
hope helpful :D
Freda bought 700 grams of almonds and 500 grams of cashews. How many kilograms of nuts did Freda buy in all?
Answer:
1.2kl
Step-by-step explanation:
1000grams=1kilogram
700+500=1200
so 1.2kilograms
I need a serious help!
Historians have commonly believed that paint used before the year 1500 did not contain copper. However, lab techniques have shown that copper is present in the paint of both the Mona Lisa painted by Leonardo da Vinci (1452-1519), a widely-renowned and timeless piece that is one of the most valuable pieces in the Louvre today, and in that of another painting known as the Sine Nomine, also from the same time period, whose painter is unknown—but not found in the paint of any other Renaissance painting analyzed. This is strong evidence that the Sine Nomine was painted by da Vinci, as well as evidence that the presence of copper in the paint of a recently resurfaced map by Fra Mauro, ostensibly from the year 1450, cannot be used as an argument against the map's authenticity.
The reasoning in the passage is vulnerable to criticism on the grounds that:
A) both the Sine Nomine and the Fra Mauro Map are objects that can be appreciated on their own merits whether or not the precise date of their creation or the identity of the person who made them is known
B) it is unreasonable to suppose that determination of the date and location of an art piece’s painting or drawing can be made solely on the basis of the presence or absence of a single element in the paint used in the document
C) the results of the analysis are interpreted as indicating that the use of copper as an ingredient in fifteenth-century paint both was, and was not, extremely restricted
D) the discovery of copper in the paint of the Fra Mauro Map must have occurred before copper was discovered in the paint of the Sine Nomine and Mona Lisa
E)if the technology that makes it possible to detect copper in paint has only recently become available, it is unlikely that cartographers or artists in the fifteenth century would know whether their paint contained copper or not
The reasoning in this text is vulnerable to criticism because works such as Sine Nomine and the map can be appreciated on their own (option A).
What is the reasoning behind this text?The author of this text explains copper has been found in the Mona Lisa painting by Da Vinci that dates back to 1450. This evidence is used to conclude a similar painting known as the Sine Nomine belongs to the same painting and that a similar map belongs to the same period.
What is the problem with this reasoning?The reasoning fails at considering each artwork is unique and can be appreciated on its own without jumping to conclusions about the period and author of them.
Learn more about reasoning in: https://brainly.com/question/11478756
Jose weighs 12 pounds less than twice what his sister maria weighs. If w respesent maria weight. Which expression shows jose weight
Answer:
2w-12
Step-by-step explanation:
Jose = 2x(Maria's weight) -12
j = 2w -12
9. A home improvement store advertises 60 square feet of flooring for $253.00, plus an additional $80.00 installation fee. What is the cost per square foot for the flooring? A. $4.95 B. $5.25 C. $5.55 D. $6.06
Answer:
C 5.55
Step-by-step explanation:
253/60 = 4.21
80/60 = 1.33
4.21 + 1.33 = 5.55
Have an amazing day!!
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Allowing 20% discount on the marked price if a watch, the value of the watch will be Rs. 2376. If the VAT of 10% is added, find its marked price.
Ans: Rs. 2700
original price be x
x-0.2x=23760.8x=2376x=2970VAT 10%
So new price is 10% less
2970-0.10(2970)2970-297Rs 2673≈2700Is triangle ABC congruent to triangle DEC? If so, write an argument to prove you are right.
Answer:
If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF
Step-by-step explanation:
qwe
My neighbor does not understand how to find the length and area of his backyard because it is an unusual shape. In 2-3 sentences explain how you would help him solve his problem. Remember to use Math Vocabulary in your explanation.
He can find the area of the individual shapes the backyard is made up of, then take the sum.
Area of composite figureA composite figure is made up of different shapes and hence their area might be difficult to determine.
In order to determine the area of such a complex shape, the area of the individual shapes is first determined and then sum up. The sum of their areas will give the area of the composite figure
For your neighbour, he can find the area of the individual shapes the backyard is made up of, then take the sum.
Learn more on area of composite figure here: https://brainly.com/question/21135654
Suppose A and B are independent events. The probability that event A will not occur is 0.1 and the probability that event B will occur is 0.7. Find P(A), P(not B) and P(A and B).
Answer:
The probability for A is 1-0.1 is 90%
P(A)=90%
P(NOT B)=30%
P(A AND B)=0.9+0.7/2=1.6/2=80%
p(a and b) may be a little off.
Answers:
P(A) = 0.9P(not B) = 0.3P(A and B) = 0.63=======================================================
Work Shown:
P(A) = 1 - P(not A)
P(A) = 1 - 0.1
P(A) = 0.9
-------------------
P(not B) = 1 - P(B)
P(not B) = 1 -0.7
P(not B) = 0.3
-------------------
P(A and B) = P(A)*P(B) only when A and B are independent
P(A and B) = 0.9*0.7
P(A and B) = 0.63
Help picture below problem 18
Answer:
by using pythagoras theorem
[tex] {h}^{2} = {p}^{2} + {b }^{2} \\ {28}^{2} = {17}^{2} + {es}^{2} \\ {28}^{2} - {17}^{2} = {es}^{2} \\ {es}^{2} = 495 \\ es = \sqrt{495} \\ es = 3 \sqrt{55} [/tex]
I WILL GIVE BRAINLY
Rectangle ABCD is plotted on a coordinate plane. The coordinates of A are (2, 3) and the coordinates of B are (– 2, 3). Each unit on the coordinate plane represents 3 centimeters, and the perimeter of Rectangle ABCD is 48 centimeters. Find the coordinates of Points C and D given these conditions:aPoints C and D are below Points A and B.bPoints C and D are above Points A and B.7Rectangle PQRS is plotted on a coordinate plane.
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PLSSSS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
19/12
==========================================================
Explanation:
Use the triangle inequality theorem to set up these three inequalities
AB+BC > ACAB+AC > BCAC+BC > ABIf you were to apply substitution and solve for x, then you'd get these solutions in the order presented shown above
x < 11/2x > 3/4x > -3/4We'll ignore the third inequality. It's not very useful because we were already told that x > 0.
The first two inequalities combine to get 3/4 < x < 11/2
This is the range of possible x values so that triangle ABC is possible.
---------------
If we want angle CAB (or angle A for short) to be the largest of the triangle, then side BC must be the longest of the three sides.
The rule is: the largest angle is always opposite the longest side. This applies to triangles only.
Since BC is the longest side, this means BC > AB and BC > AC
---------------
Let's focus on the first inequality
BC > AB
x+7 > x+4
7 > 4
That's true regardless of what we pick for x. So BC is always longer than AB.
---------------
Now onto the second inequality
BC > AC
x+7 > 4x
7 > 4x-x
7 > 3x
3x < 7
x < 7/3
Now recall that we found earlier x > 3/4 or 3/4 < x
Combine 3/4 < x and x < 7/3 to get the compound inequality 3/4 < x < 7/3
---------------
Notice the middle part of that compound inequality is x and BC = x+7
If we were to add 7 to all three parts of the compound inequality, then we'll determine exactly the possible range of lengths for segment BC.
3/4 < x < 7/3
3/4+7 < x+7 < 7/3+7
3/4 + 28/4 < x+7 < 7/3 + 21/3
31/4 < x+7 < 28/3
31/4 < BC < 28/3
The length of segment BC is between 31/4 units and 28/3 units, excluding both endpoints. Those are the values of m and n in that order.
---------------
The last step is to compute n-m
n-m = (28/3) - (31/4)
n-m = (112/12) - (93/12)
n-m = (112-93)/12
n-m = 19/12 which points us to choice D.
Side note: 7/3 - 3/4 = 28/12 - 9/12 = (28-9)/12 = 19/12
If 20 articles cost 90, then the cost of 9 articles is ?
Answer:
the cost of 9 articles is 40.5
A model of a car is made to a scale of 1.10. What is the ratio of the volumes of the model car to the real car? If the model car has a mass of 2.1 kg: what is the mass of the real car assuming the same metal is used?
Answer:
1:1000
2,100 kg
Step-by-step explanation:
A linear scale of 1:10 means a volume scale of 1:1000.
The ratio of the volumes is model:real = 1:1000.
The mass is proportional to the volume.
The real car has a volume 1000 times the volume of the model, so its mass is also 1000 times the mass of the car.
mass of real car = 1000 × 2.1 kg = 2100 kg
Find the decimal expansion for 5/12
Answer:
Answer would be 0.4166666667
Step-by-step explanation:
Simplify the expression. Write your answer as a power.
The simplified expression is
The sum of squares of lengths of the two sides of a rectangular field is 25m2.Their difference is 1m .what is the length of each side of the field
Answer:
Perimeter of a rectangle = 2×(Length+Breadth)
(i) Length = 16.8 cm
Breadth = 6.2 cm
Perimeter = 2×(Length+Breadth)
= 2×(16.8+6.2) =46 cm
(ii) Length = 2 m 25 cm
=(200+25) cm (1 m = 100 cm )
= 225 cm
Breadth =1 m 50 cm
= (100+50) cm (1 m = 100 cm )
= 150 cm
Perimeter = 2×(Length+Breadth)
= 2×(225+150) =750 cm
(iii) Length = 8 m 5 dm
= (80+5) dm (1 m = 10 dm )
= 85 dm
Breadth = 6 m 8 dm
= (60+8) dm (1 m = 10 dm )
= 68 dm
Perimeter = 2×(Length+Breadth)
= 2×(85+68) =306
Write each expression as a single power of 10.
Answer:
Refer to below!
Step-by-step explanation (a):
[tex]\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\[/tex]
[tex]\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}[/tex]
Step-by-step explanation (b):
[tex]\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]
[tex]\rightarrow{10^{9} }[/tex]
Step-by-step explanation (c):
[tex]\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow 10^{2} }[/tex]
Step-by-step explanation (d):
[tex]\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }[/tex]
[tex]\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]
[tex]\rightarrow \dfrac{10^{15} }{10^{10} }[/tex]
[tex]\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow 10^{5} }[/tex]
Step-by-step explanation (e):
[tex]\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }[/tex]
[tex]\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ][/tex]
[tex]\rightarrow \dfrac{10^{10} }{10^{6} }[/tex]
[tex]\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]
[tex]\rightarrow {10^{4}[/tex]
Round your answer to the nearest hundredth.
Answer:
67.98°
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Find the simple Intrest for
$ 2000 at 4% for 3 months
Answer:
Simple interest: 240, Final amount: 2240
hope im right
Step-by-step explanation:
can anyone help with this?
Answer:
It's a 270 degree rotation or -90 degree rotation there the same thing all the other answer choices are wrong besides 270 degree rotation.
Step-by-step explanation:
Traveling in a fried-out Kombi
On a hippie trail, head full of zombie
I met a strange lady, she made me nervous
She took me in and gave me breakfast
And she said
Do you come from a land down under?
Where women glow and men plunder?
Can't you hear, can't you hear the thunder?
You better run, you better take cover
Buying bread from a man in Brussels
He was six-foot-four and full of muscle
I said, "Do you speak-a my language?"
He just smiled and gave me a Vegemite sandwich
And he said
I come from a land down under
Where beer does flow and men chunder
Can't you hear, can't you hear the thunder?
You better run, you better take cover, yeah
Lyin' in a den in Bombay
With a slack jaw, and not much to say
I said to the man, "Are you trying to tempt me
Because I come from the land of plenty?"
And he said
Oh, you come from a land down under? (Ooh, yeah, yeah)
Where women glow and men plunder?
Can't you hear, can't you hear the thunder?
You better run, you better take cover ('cause we are)
Living in a land down under
Where women glow and men plunder
(Can't you hear thunder) can't you hear, can't you hear the thunder?
You better run, you better take cover
Living in a land down under
Where women glow and men plunder
Can't you hear, can't you hear the thunder? (Ooh yeah)
Better run, you better take cover (we are)
Living in a land down under (ooh yeah)
Where women glow and men plunder
Can't you, can't you hear the thunder?
Better run, you better take cover
Living in a land down under (living in a land down under)
Where women glow and men plunder
Can't you, can't you hear the thunder?
