solve it step by step​

Solve It Step By Step

Answers

Answer 1

The solution for this expression is:[tex]9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-50[/tex].

Properties of Multiplication

The properties of multiplication are:

Distributive:  a(b±c)=  ab±acComutative:   a . b = b. aAssociative:    a(b+c)=  c(a+b)Identity: b.1=b

Here, you should apply the distributive property for solving this expression.

[tex](3\sqrt{3}+2\sqrt{5} )*(3\sqrt{2}-5\sqrt{5})\\ \\[/tex]

Applying the distributive property, you have:

[tex]9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-10*\sqrt{25} \\ \\ 9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-10*5\\ \\ 9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-50[/tex]

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Related Questions

Solve the equation. 2ª = 0.36 O + or - 0.5 O+ or - + or - 0.6 + or -0.7 06 please answer quickly ​

Answers

Answer:

2nd answer is correct.

Step-by-step explanation:

z² = 0.36

z² = [tex]\frac{36}{100}[/tex]

z² = [tex]\frac{6 * 6}{ 10 *10}[/tex]

z = ± √ ( [tex]\frac{6 * 6}{ 10 *10}[/tex] )

z  = ± [tex]\frac{6}{10}[/tex]

z = ± 0.6

Therefore,

z = + or - 0.6

Which number line represents the solution set for the inequality 2x-62 6(x-2) + 8?
-1.5 -1
-0.5
0
0.5
1
1.5
-1.5 -1
-0.5
0
0.5
1
1.5
-1.5
-1 -0.5
0.5
1.5
-1.5
-1
-0.5
0.5
1.5
Mark this and return
04
O
0
O
1
Save and Exit
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Submit

Answers

It is the second option. (B)

The number line that represents the solution set for the inequality is the number line on option B.

Option B is the correct answer.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Let's simplify the inequality.

2x - 6 ≥ 6(x - 2) + 8

2x - 6 ≥ 6x - 12 + 8

2x - 6x ≥ 6x - 4

-4x ≥ 6x - 4

-4x - 6x ≥ - 4

-10x ≥ -4

x ≥ 4/10

x ≥ 2/5

x ≥ 0.4

Now,

This number line will start from 0.4 till infinity on the right side of the number line.

Thus,

The number line on option B is the correct answer.

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A spinner is spun `40` times for a game.

This graph shows the fraction of games that are wins.

Based on the graph, what is the probability of a spin winning this game?

Answers

(i) In decimals: 0.65

(ii) In percentage: 65%

The graph shows that after the spinner is spun after 40 times. The Fraction of wins is 0.65 out of 1. Look at the very end of the graph to look at the conclusion for probability. Similar cases when, after the spinner is spun after 20 times, the probability is 0.65.

Answer:

0.65 or 65%

Step-by-step explanation:

In the given figure, ΔABC is a right triangle.
What is true about ΔABC?
(file is attached below!)

Answers

Answer:

its an isosceles triangle which means that the sides a and c are the same

so C is the correct answer!!

Step-by-step explanation:

QUESTION 1 - 1 POINT
Graph the linear inequality -15x - 6y < 30.
Select the correct answer below:

Answers

Answer + Step-by-step explanation:

the inequality by finding the boundary line, then shading the appropriate area.

y > − 5/2x − 5

(anything in shaded region)

Cos (pi/5) + cos (2pi/5)+ Cos (3pi/5)
+ Cos (4pi/5)

Answers

Answer:

0

Keys:

When going over functions like this, we must use these cosine rules:

[tex]\cos \left(s\right)+\cos \left(t\right)=2\cos \left(\frac{s+t}{2}\right)\cos \left(\frac{s-t}{2}\right)[/tex][tex]\cos \left(-x\right)=\cos \left(x\right)[/tex][tex]\cos \left(\frac{\pi }{2}\right)=0[/tex]

Step-by-step explanation:

[tex]=\cos \left(\frac{\pi }{5}\right)+2\cos \left(\frac{2\cdot \frac{\pi }{5}+3\cdot \frac{\pi }{5}}{2}\right)\cos \left(\frac{2\cdot \frac{\pi }{5}-3\cdot \frac{\pi }{5}}{2}\right)+\cos \left(4\cdot \frac{\pi }{5}\right)\\=\cos \left(\frac{\pi }{5}\right)+2\cos \left(\frac{\pi }{2}\right)\cos \left(-\frac{\pi }{10}\right)+\cos \left(\frac{4\pi }{5}\right)\\=\cos \left(\frac{\pi }{5}\right)+2\cos \left(\frac{\pi }{2}\right)\cos \left(\frac{\pi }{10}\right)+\cos \left(\frac{4\pi }{5}\right)[/tex]

[tex]cos\left(\frac{\pi }{5}\right) = \frac{\sqrt{5} + 1}{4}\\=\frac{\sqrt{5}+1}{4}+2\cdot \:0\cdot \frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}-\frac{1+\sqrt{5}}{4}\\=0[/tex]

0

by using the cosine rule you can find this

Which equation best models the data y=186-6.2x, y=246-6.2x, y=186-12.4x, y=246-12.4x which one

Answers

The equation that best models the data is (a) y = 186 - 6.2x

How to determine the equation?

The data is not provided; so I would give a general guide on how to model a linear equation.

Assume the points on the line are:

(0,186) and (1,179.8)

Start by calculating the slope of the line using:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

This gives

[tex]m = \frac{179.8 - 186}{1 - 0}[/tex]

Evaluate

m = -6.2

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

y = -6.2(x - 0) + 186

Evaluate

y = -6.2x + 186

Rewrite as:

y = 186 - 6.2x

Hence, the equation that best models the data is (a) y = 186 - 6.2x

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Circle O has a radius of 5 centimeters and central angleAOB with a measure of 60°.

Answers

The arc length can be found using the formula, ∅ × r, which is: (5π)/3.

What is the Arc Length?

Arc length = ∅ × r, where ∅ is the central angle in radians, and r is the radius of the circle.

Given the following:

∅ = 60° = 60° × π/180 (in radians)r = 5 cm

Length of the arc = 60° × π/180 × 5 = (60 × π × 5)/180

Length of the arc = (300π)/180 = (5π)/3

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what is circumference?​

Answers

The distance/measurement around a circle.

Measurement around the circle

HELP PLEASE - 50 POINTS - The ceiling of Stacy's living room is a square that is 30 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 30 ft, but she doesn't know how long it is. Solve for the length of the diagonal of Stacy's ceiling in two ways: (a) Using the Pythagorean Theorem.

Answers

Answer:

The length of the diagonal of Stacy’s ceiling is 30√2 or 42.43

Step-by-step explanation:

a² + b² = c²

30² + 30² = c²

900 + 900 = c²

√1,800 = √c²

30√2 = c

f(x) = 3x2²2 = 13
Find f(2)
Enter the number that belongs in the green box.
Simplify completely.

Answers

Answer: 5/13

Step-by-step explanation:

[tex]f(2)=\frac{3(2)^{2}-7}{4(2)^{2}-3}=\boxed{\frac{5}{13}}[/tex]

13 × (11 + 11) - (4 × 17) - 6 = X​

Answers

Answer: 212

Step-by-step explanation:

13 * 22 - 68 - 6 = X

286 - 68 - 6 = X

286 - 74 = X

X = 212

A store manager wants to estimate the proportion of customers who spend money in this store. How many customers are required for a random sample to obtain a margin of error of at most 0.075 with 80% confidence?

Answers

The 73 customers who spend money in this store if a MOE of at most 0.075 with 80% confidence.

What is the margin of error(MOE)?

MOE is an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

MOE = z x s/√n

Where ,

Z = the z-score at the confidence interval

s =  the standard deviation

n = the number of samples.

We have p = 0.50 MOE = 0.075

Z = 1.282 at 80% confidence

0.075 = 1.282 x √0.50(1- 0.50)/ n

After solving,

n = (0.5)(0.5)/(0.0585)²

n = 73

Thus, the 73 customers who spend money in this store if a MOE of at most 0.075 with 80% confidence.

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what’s 826,125 to the nearest ten thousand ?

Answers

Answer:

830000.

Step-by-step explanation:

Given number is 825125

The number at the thousands place is 5 which is equal or above 5. So, round up the value.

rounded value of 825125 is 830000.

Therefore, 825125 rounded to the nearest Ten Thousands is 830000.

Answer:

830,000

Step-by-step explanation:

bbbvxxbbbdhdhdvdvshdbsbskzi99999999


A chemist is using 354 milliliters of a solution of acid and water. If 19.8% of the solution is acid, how many milliliters of
acid are there? Round your answer to the nearest tenth.
milliliters

Answers

354 x 0.198 = 70.092

rounded = 70.1

if Sin A = 3÷5 and Cos B =6÷10, where A and B are acute angles determine
Sin(A-B)​

Answers

Step-by-step explanation:

[tex] \sin( \alpha - \beta ) = \sin( \alpha ) \cos( \beta ) - \cos( \alpha ) \sin( \beta ) [/tex]

Using the Pythagorean theorem,

[tex] \cos( \alpha ) = \frac{4}{5} [/tex]

[tex] \sin( \beta ) = \frac{8}{10} [/tex]

[tex] \sin( \alpha - \beta ) = ( \frac{3}{5} )( \frac{3}{5} ) - ( \frac{4}{5} )( \frac{4}{5} )[/tex]

[tex] \frac{9}{25} - \frac{16}{25} = \frac{ - 7}{25} [/tex]

Seven increased by the product of six and the number is 19

Answers

The number is that was multiplied by 6 is 2.

What is the number?

The equation that can be derived from the question is :

7 + (6a) = 19

Where a is the unknown number that 6 was multiplied with

Given the above equation, in order to determine the value of a, take the following steps:

Combine similar terms: 6a = 19 - 7

Subtract similar terms: 6a = 12

Divide both sides by 6: a = 12 / 6

a = 2

Here is the complete question:

Seven increased by the product of six and the number is 19. What is the number?

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Which of the following linear functions have a y-intercept of 4? Select all that apply.
y = 4
x=4
Ug=2z 8
y=x+4
y=-2 +4

Answers

Answer:

y=4

y=x+4

y=-2+4

Step-by-step explanation:

the trick is to consider x as 0.

The hull speed of a boat is approximated by the function

v = 1.34 StartRoot l EndRoot ,

where l is the hull length in feet and v is the hull speed in knots.

Suppose the Santa Monica has a hull length that is 10 ft shorter than that of the Nina Pinta. What expression represents the hull speed of the Santa Monica in terms of the length, ln of the Nina Pinta?

v Subscript s Baseline = a StartRoot b EndRoot

Where a =
and b = ln

What are the restrictions on ln?

ln >

Answers

The hull speed of the Santa Monica in terms of the length, ln of the Nina Pinta is given as a√b where a = 1.34 and b = ln - 10

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that:

v = 1.34√l

where l is the hull length in feet and v is the hull speed in knots.

Santa Monica has a hull length that is 10 ft shorter than that of the Nina Pinta and ln is the length of Nina. Hence:

v = 1.34√(ln - 10) = a√b

The hull speed of the Santa Monica in terms of the length, ln of the Nina Pinta is given as a√b where a = 1.34 and b = ln - 10

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Answer:

What are the restrictions on ln? the answer is 10

Step-by-step explanation:

did it on edge


1. Total spending in the US on lotteries in 2017 was about $75 billion. Given a US Population of 325
million of which 23% are under age 18, and the fact that about half of American adults play the
lottery in any given year, about how much does the average American spend on lotteries each
year?

Answers

Based on the statistics, an average American spends $299.7 on lotteries each year

How to determine the amount an American spend on lotteries?

The population is given as:

Population = 325 million

23% are under the age of 18.

This means that this category is not eligible to play lotteries.

The eligible population is:

Eligible = (1 - 23%) * 325 million

Evaluate

Eligible = 250.25 million

The total amount is given as:

Total = $75 billion

So, the amount spent by each is:

Amount = Total/Eligible

This gives

Amount = $75 billion/250.25 million

Evaluate

Amount = $299.7

Hence, an average American spends $299.7 on lotteries each year

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nth term for 300,250,200

Answers

The nth term of the arithmetic sequence 300,250,200 is 350-50n if the common ratio is -50

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have an arithmetic sequence:

300,250,200

The first term a = 300

Common difference d = 250-300 = -50

nth term:

A(n) = a + (n-1)d

A(n) = 300 + (n-1)(-50)

A(n) = 300 -50n + 50

A(n) = 350—50n

Thus, the nth term of the arithmetic sequence 300,250,200 is 350-50n if the common ratio is -50

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Providing for doubtful accounts
At the end of the current year, the accounts receivable account has a debit balance of $844,000 and sales for the year total $9,560,000.
a. The allowance account before adjustment has a debit balance of $11,400. Bad debt expense is estimated at 1/4 of 1% of sales.
b. The allowance account before adjustment has a debit balance of $11,400. An aging of the accounts in the customer ledger indicates estimated doubtful accounts of
$36,500.
c. The allowance account before adjustment has a credit balance of $4,700. Bad debt expense is estimated at 1/2 of 1% of sales.
d. The allowance account before adjustment has a credit balance of $4,700. An aging of the accounts in the customer ledger indicates estimated doubtful accounts of
$39,000.
Determine the amount of the adjusting entry to provide for doubtful accounts under each of the assumptions (a through d) listed above.

Answers

Based on the account receivable balance and the adjustments, the adjusting entries for doubtful debt under various assumptions is:

a. $23,900b. $47,900c. $47, 800d. $34,300

What are the entries for doubtful debt?

a. Bad debt is 1/4 of 1% of sales:

= 9,560,000 x 0.25%

= $23,900

b. Debit balance of $11,400:

= Estimated doubtful accounts + Debit balance

= 36,500 + 11,400

= $47,900

c. Credit balance of $4,700 and 1/2 of 1% of sales:

= Sales x 0.50%

= 9,560,000 x 0.50%

= $47,800

d. Credit balance of $4,700 and estimated doubtful of $39,000:

= Estimated doubtful accounts - credit balance

= 39,000 -  4,700

= $34,300

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2.38 Baggage fees: An airline charges the following baggage fees: $25 for the first bag and $30 for the second. Suppose 54% of passengers have no checked luggage, 30% have only one piece of checked luggage and 16% have two pieces. We suppose a negligible portion of people check more than two bags.

Answers

The average baggage-related revenue per passenger is $16.30 per passenger.

Expected value

Expected value formula: x×p(x)

First step

No passenger=0×.54

No passenger=0

Second step

One checked luggage for first bag=.30×$25

One  checked luggage for first bag=$7.50

Third step

Two piece  for the first and second bag=.16×($25+$30)

Two piece  for the first and second bag=.16×$55

Two piece  for the first and second bag=$8.80

Last step

Expected value=$7.50+$8.80

Expected value=$16.30

Therefore the average baggage-related revenue per passenger is $16.30 per passenger.

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Use long division method to solve & following.
5 on 8

Answers

Answer:

0.625

Step-by-step explanation:

If g(x) =2x^2-4 and g(x)=10 find .g(-8)​

Answers

Functions are written in terms of variables. The value of the function when x  is -8 is 124

Functions and values

Functions are written in terms of variables. Given the function below;

g(x) = 2x^2 - 4

If the value of x is -8, substiute

g(-8) = 2(-8)^2 -4

g(-8) = 2(64) - 4

g(-8) = 124

Hence the value of the function when x  is -8 is 124

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Write the equation of the line in slope-intercept form.
The equation of the line in slope-intercept form is ___

Answers

Answer:

y = - 10x + 40

Step-by-step explanation:

Two points

[tex](0,40), (4, 0)[/tex]

Slope

[tex]m=\frac{0-40}{4-0} =-\frac{40}{4} =-10[/tex]

Equation:

[tex]y-40=-10(x-0)[/tex]

[tex]y-40=-10x[/tex]

[tex]y=-10x+40[/tex]

Hope this helps

Jamie made the tree diagram below to show the different choices he has for ordering a pizza for lunch.

A tree diagram. The sizes are large, medium, and small. The crusts are thin or thick. The toppings are tomato or meatball.

According to the tree diagram, which best describes how many choices Jamie has for his pizza?
three choices for size, two choices for crust, and two choices for topping
three choices for size, two choices for crust, and one choice for topping
two choices for size, two choices for crust, and one choice for topping
two choices for size, two choices for crust, and two choices for topping

Answers

The answer would be A; Three choices for size, two choices for the crust, and two choices for topping.

What are true statements about the condition?

The true statement are those statements that satisfy the given condition.

A tree diagram. The sizes are large, medium, and small.

The crusts are thin or thick. The toppings are tomato or meatball.

Sizes;

Small, Medium, and Large,

so they have 3 choices for size.

Crust;

Thin or thick for each size,

so they have 2 choices for the crust.

Topping;

Tomato or meatball for each one,

So, they have 2 choices for toppings.

The answer would be A; Three choices for size, two choices for the crust, and two choices for topping.

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Answer:

A

Step-by-step explanation:

did the test

nth term formula? maths quickly

Answers

[tex]\text{Nth term of an arithmetic series} = a +(n-1)d \\\\\text{Nth term of an geometric series}= ar^{n-1}\\\\\text{where,}\\\\\text{a = first term.}\\\\\text{d = common difference.}\\\\\text{r = common ratio.}[/tex]

Question 9 of 40
Factor this polynomial completely.
6x² + 7x-20
O A. (3x-4)(2x + 5)
OB. (6x- 5)(x+4)
O C. (2x-4)(3x + 5)
OD. (6x-4)(x+5)

Answers

Answer:

6x² + 7x-20

A. (3x-4)(2x + 5)

20 + 549+ 48574 - 46567476 x 987665 +1 if a apple is a shoo wath is a ñ

Answers

if (20 + 549+ 48574 - 46567476 x 987665) is the calculations of a number of apples, its total value is mathematically given as

X=−4.59930662*10^13

What is the number of apples?

Generally, the equation for the statement is mathematically given as

20 + 549+ 48574 - 46567476 x 987665 +1

Let's equate it to x, Therefore

X= 20 + 549+ 48574 - 46567476 x 987665 +1

Using BODMAS

X= 20 + 549+ 48574 - 4.59930662*10^13 +1

X=49143-4.59930662×10^13

X=−4.59930662×10^13

In conclusion, the number of apples

X=−4.59930662*10^13

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Ernests favorite lunch is a turkey, lettuce, and tomato sandwich Ernest can make the sandwich using either white bread or wheat bread Sometimes he adds cheese, pickles, or mayonnaise in any combination, but other times he doesnt add anything Ernest says that there are 8 different ways to make his favorite sandwich Is he correct? Explain 4(9^0+48(2)^-3)Please explain how What type of government did Japan have for over 260 years? Which is anadvantage of speaking? Question 13 of 20Which term is an oxymoron?A. FootballB. BittersweetC. BlackholeD. SunflowerSUBMIT What does the use of incredulous connote? a quadrilateral is inscirbed in circle o. the angle measures the quadrilateral in degrees are given by the expressions shown in the figure.what is the measure of angle c?(will mark branliest + 20points) What is the contrapositive of the statement below?xy What are the coordinates of the image of vertex G aftera reflection across the line y = x?O (-4,-5)O (4, 5)O (-5,4)O (5, 4) B. Use the polite phrases in the box to ask permission for items. Would you mind if I...? Would it be alright if I...? Is it OK if I...? I wonder if it might be possible to... Is it alright if I...? DO you mind if I...? May I...? I wonder if I could... 1. Ask if you can borrow something. _______________________________2. Ask if you can leave your bag here._______________________________ Which year did memorial day officially begin to be celebrated on the last monday in may?. The table gives information about the speeds, in kilometres per hour, of 80 motorbikes as each pass under a bridge.Speed(s kilometres per hour) Frequency40 < s 50 1050 < s 60 1660 < s 70 1970 < s 80 2380 < s 90 12(a) Write down the modal class(b) Work out an estimate for the mean speed of the motorbikes as they pass under the bridge. Give your answer correct to 3 significant figures. How should this sentence be corrected?Mason told Ethan that Mrs. Smith suspected he cheated on the math test.He told Ethan that Mrs. Smith suspected he cheated on the math test.Mason told him that Mrs. Smith suspected he cheated on the math test.Mason told Ethan that Mrs. Smith suspected Ethan cheated on the math test.Mason told Ethan that she suspected he cheated on the math test. Select the correct answer.Which god was a son of Zeus and Hera?OA. AresOB. ApolloO C. AthenaOD. Amphion i donnt know .............. A board game uses a deck of cards that players draw from to move tokens around the board. The probability of selecting a card that moves a player's token forward is 32%. Over the course of a game, the deck is shuffled and reused as necessary. Approximately how many cards must be drawn from the deck before players' tokens move forward 50 times? Translate sleep to Spanish En la fiesta a niche, divertirse ustedes Former U.S. President Richard Nixon resigned from office before he faced impeachment charges for his role in the Watergate scandal, which involved a break-in and theft. Nixon's resignation showed which of the following fundamental valuesAmerican government?Select one:O a. Freedom of speechO b. Separation of powersOC Rule of lawO d. Due process Look at the graphic organizer.A student made this graphic organizer to help write a narrative essay about his grandfathers birthday party. Which bubble in the graphic organizer tells the thesis statement of the essay?A successful partyGood food, good musicHappy with a pinch of sadnessGrandpas surprise birthday party surprises everyone