Select the correct answer from each drop-down menu. Joshua charges $12.50 an hour for his tutoring services. He also charges the same rate for giving guitar lessons. On Saturday, Joshua drove to Eric's house to tutor him. To compensate for his traveling, Joshua charged a flat amount of $4.50 in addition to his hourly rates. For Saturday's session, Joshua earned a total of $35.75. On Sunday, Joshua gave Ben guitar lessons for 0.5 hour and tutored him for the remaining time. A flat rate for traveling was not charged. For Sunday's session, Joshua earned a total of $31.25. Complete the sentences. Joshua tutored Eric Ben. Joshua earned more on Saturday than on Sunday.

Answer:

395

Step-by-step explanation:

you just add up the months

The series converges to  1/(1-9x) for -1/9<x<1/9                  

A series is said to be convergent if it approaches some limit (D'Angelo and West 2000, p. 259). both converge or both diverge. Convergence and divergence are unaffected by deleting a finite number of terms from the beginning of a series.

Here, we have,

Given the series is  ∑9xⁿ xⁿ

We have to find the values of x for which the series converges.

We know,                

∑ arⁿ⁻¹    converges to  (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, ∑ (9x)ⁿ is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for -1/9<x<1/9

And geometric series converges to a/(1-r)

Here, a = 1 and r = 9x

Therefore, a/(1-r) = 1/(1-9x)

Hence, the given series converges to   1/1-9x  for  -1/9<x<1/9

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Answer:

To compare the balances of the two loans at the time of repayment, we need to calculate the future value of the loan amount for each loan option after 12 months of compounding.

For the Unsubsidized Stafford Loan:

Principal (P) = $9,529

Annual interest rate (r) = 5.95%

Compounding period (n) = 12 (monthly compounding)

Time period (t) = 1 year

Using the formula for future value of a loan (FV), we get:

The formula is:

FV = P * (1 + r/n)^(nt) = $9,529 * (1 + 0.0595/12)^(121) = $10,087.14

For the PLUS Loan:

Principal (P) = $10,172.23

Annual interest rate (r) = 6.55%

Compounding period (n) = 12 (monthly compounding)

Time period (t) = 1 year

Using the same formula, we get:

FV = P * (1 + r/n)^(nt) = $10,172.23 * (1 + 0.0655/12)^(121) = $10,774.71

Therefore, the Unsubsidized Stafford Loan will have a lower balance at the time of repayment, by $687.57 ($10,087.14 - $10,774.71).

16,667 minutes for the average resting heart to beat 1,000,000 times..

The average resting heart rate beats 60 times in one minute. Therefore, to find out how many minutes it will take for the heart to beat 1,000,000 times we can do as follows:

we can divide the total number of given beats in statement by the number of beats per minute which is 60 so :

1,000,000 / 60 = 16,666.67 minutes

it will take 16,666.67 minutes for the average resting heart to beat 1,000,000 times

Now Rounding up to the nearest whole number, we get that it will take 16,667 minutes.

So, we can conclude that it will take 16,667 minutes  for the average resting heart to beat 1,000,000 times.

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Answer:

The 12th Term is 67.

The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

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The exact solutions for the equation j = 2u^2 - 250 = 0 are u = 5√5 and u = -5√5.

To determine the real solutions of the equations using the square root property, we will isolate the variable and then apply the square root property.

1. 5y^2 + 100 = 0:

First, let's isolate the variable by subtracting 100 from both sides:

5y^2 = -100.

Next, divide both sides by 5 to solve for y^2:

y^2 = -20.

Since the equation results in a negative value, there are no real solutions. Therefore, the solution is DNE (does not exist).

2. j = 2u^2 - 250 = 0:

First, let's isolate the variable by adding 250 to both sides:

2u^2 = 250.

Next, divide both sides by 2 to solve for u^2:

u^2 = 125.

To find the square root of both sides, we have:

u = ±√125.

Simplifying the square root of 125, we get:

u = ±√(25 * 5).

Breaking down the square root further:

u = ±√25 * √5.

Since √25 = 5, we have:

u = ±5√5.

Therefore, the exact solutions for the equation j = 2u^2 - 250 = 0 are u = 5√5 and u = -5√5.

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Expression given:

The distributive property states that:

Then, using this property, we can rewrite the given expression as follows:

Simplifying we get:

nswer:

Answer:

35

Step-by-step explanation:

if you multiply all of the numbers in the first boxes by five, those numbers would be correct. So if you multiply 7 by 5, your answer would be 35

Answer:

150

Step-by-step explanation:

i think if its wrong im

Answer:

0.004 km; 400 cm; 4000 mm

Step-by-step explanation:

1 km = 1000 m

1 = (1 km)/(1000 m)

4 m * (1 km)/(1000 m) = 4/1000 km = 0.004 km

1 m = 100 cm

1 = (100 cm)/(1 m)

4 m * (100 cm)/(1 m) = 400 cm

1 m = 1000 mm

1 = (1000 mm)/(1 m)

4 m * (1000 mm)/(1 m) = 4000 mm

Answer: 0.004 km; 400 cm; 4000 mm

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer: 1/2500 n

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.27 is the answer

Answer:

y = 15x

Step-by-step explanation:

Given x and y are in direct variation then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 2, y = 30, then

30 = 2k ( divide both sides by 2 )

15 = k

y = 15x ← equation of variation

The inverse of a point (1, 2) on a graph would be the point (2, 1) because it's the reflection of the point (1, 2) over the line y = x.

In general, the inverse of a point (x, y) on a graph is the point (y, x). This is because when we switch the x and y coordinates of a point, we are reflecting it over the line y = x, which is the line of symmetry of the inverse function.

Inverse functions are mathematical operations that "reverse" each other. For example, if f(x) = 2x, then the inverse function f^-1(x) = x/2, when you apply f(x) and then f^-1(x) to a number you'll get the same number, so f^-1(f(x))=x, that's why they are called inverse. Inverse functions are only defined for bijective functions.

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Answer:

9.8333333... is not irrational.

Step-by-step explanation:

Irrational numbers are numbers that have decimal value that goes on forever (does not terminate) but also is not repeating. Pi and e are special, useful numbers that are irrational. And numbers that are cuberoot or squareroot that are not perfect squares or perfect cubes are also irrational.

The cuberoot of a perfect cube is an integer (not irrational) Like cubrt27 = 3

The squareroot of a perfect square is not irrational such as sqrt16 = 4.

If a number is rational (not irrational) it can be written as a ratio.

9.83333... is 59/6.

see image.

Answer:

-20/27

Step-by-step explanation:

-4/3 ÷ 9/5

= -4/3 * 5/9

= -20/27

Hope it helps :)

Answer:

-4/3÷9/5= -0.74074074074

To find the height of a triangle using trigonometry, you can use the sine or cosine ratios. The specific ratio to use depends on the information you have about the triangle.

If you have the length of one side of the triangle and the measure of the angle opposite that side, you can use the sine ratio to find the height. The sine ratio is defined as the length of the side opposite the angle divided by the length of the hypotenuse.

Here are the steps to find the height using the sine ratio:

1. Identify the side of the triangle that represents the height.
2. Determine the angle opposite that side.
3. Measure the length of the side adjacent to the angle or obtain that information from the problem.
4. Use the sine ratio: height = length of adjacent side * sin(angle).

For example, let's say you have a right triangle with an angle of 30 degrees and a side adjacent to that angle measuring 6 units. To find the height, you would use the sine ratio:

height = 6 * sin(30)
height ≈ 3 units

If you have the length of two sides of a right triangle and you need to find the height, you can use the cosine ratio. The cosine ratio is defined as the length of the side adjacent to the angle divided by the length of the hypotenuse.

Here are the steps to find the height using the cosine ratio:

1. Identify the side of the triangle that represents the height.
2. Determine one of the acute angles of the triangle.
3. Measure the lengths of the two sides adjacent to that angle or obtain that information from the problem.
4. Use the cosine ratio: height = length of adjacent side * cos(angle).

For example, let's say you have a right triangle with an angle of 45 degrees and two sides adjacent to that angle measuring 4 units and 4√2 units. To find the height, you would use the cosine ratio:

height = 4 * cos(45)
height ≈ 2.828 units

In summary, to find the height of a triangle using trigonometry, you can use the sine or cosine ratios. The sine ratio applies when you have the length of one side and the angle opposite that side, while the cosine ratio applies when you have the lengths of two sides adjacent to an angle.

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The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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ACC:

if the user rate the session they are redirected to the "finish rating" screen:

if the rating is 2,3,4,5 the user is redirected to "love that feedback" screen

OPTION 2

if the rating is 1 user is redirected to "thanks for letting us know” screen

if 'back to Brainly” user is redirected to brainly home page

⇔324324254

updt 2

_)_

Answer:

No way its too blur XD

Step-by-step explanation:

sports

watching tv

reading books

surfing

and sleeping maybe

Answer:

Sports - 25%

Surfing - 25%

Reading Books - 20%

Watching TV - 25%

Malling - 5%

Step-by-step explanation:

Given:

Jan and Julie started their ride at 09:30 and finished at 15:15.

Stopped for a drink = 20 minutes

Lunch = 45 minute

Rest = 10 minutes

To find:

Time they are riding on their bikes (excluding stops).

Solution:

Jan and Julie started their ride at 09:30 and finished at 15:15.

So, total time of ride including stops is 5 hours 45 minutes or we can say 345 minutes calculated as

\(30+60+60+60+60+60+15=345\text{ minutes}\)

We need subtract Drink, lunch and rest time from the total time to get the Time they are riding on their bikes (excluding stops) is

\(345-20-45-10=270 \text{ minutes}\)

Therefore, the total time they are riding on their bikes (excluding stops) is 270 minutes.

The weighted average cost per unit under the perpetual inventory system is $55.76.

To calculate the weighted average cost flow method under the perpetual inventory system, follow these steps:

1. Calculate the total cost of inventory on hand at the beginning of the year: 10,000 units * $75.00 = $750,000.

2. Calculate the cost of goods sold for each sale:
- For the first sale on March 18, the cost of goods sold is 8,000 units * $75.00 = $600,000.
- For the second sale on August 9, the cost of goods sold is 15,000 units * $77.50 = $1,162,500.

3. Calculate the total cost of purchases during the year:
- The purchase on May 2 is 18,000 units * $77.50 = $1,395,000.
- The purchase on October 20 is 7,000 units * $80.25 = $561,750.
- The total cost of purchases is $1,395,000 + $561,750 = $1,956,750.

4. Calculate the total number of units available for sale during the year: 10,000 units + 18,000 units + 7,000 units = 35,000 units.

5. Calculate the weighted average cost per unit: $1,956,750 ÷ 35,000 units = $55.76 per unit.

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Answer:

c) 15√2

Step-by-step explanation:

22√2 - 7√2 = 21.21, 15√2 = 21.21

Answer:

0.858 ft^2

Step-by-step explanation:

The area of shaded region = Area of the square - Area of Circle

here

length = diameter=2ft

so, radius= diameter/2=2/2=1ft

Now

Area of square= length*length=2*2=4 ft^2

Area of circle=πr^2=π*1^2=π ft^2

again

The area of shaded region = Area of the square - Area of Circle

The area of the shaded region = 4ft^2-πft^2=0.858 ft^2

\(\\ \sf\longmapsto Time\:period=\dfrac{Time\:taken}{No\:of\; oscillations}\)

\(\\ \sf\longmapsto Time\:taken=No\:of\: oscillations (Time\: period)\)

\(\\ \sf\longmapsto Time\:taken=20(0.5)\)

\(\\ \sf\longmapsto Time\:taken=10s\)

\(\begin{gathered} {\underline{\boxed{ \rm {\red{Time \: period \: = \: \frac{Time \: \: taken}{Number \: of \: oscillations} }}}}}\end{gathered}\)

\(\begin{gathered} {\underline{\boxed{ \rm {\purple{Time \: taken \: = \: Number \: of \: oscillations \: (Time \: period)}}}}}\end{gathered}\)

\( \large \rightarrow \: {\rm {{{\color{orange}{Time \: taken \: = \: 20 (0.5)}}}}} \)

\(\large \rightarrow \: {\rm {{{\color{orange}{Time \: taken \: = \: 10s}}}}} \)

Answer:

14.57$

Step-by-step explanation:

The required balance in her account after 2 days is $14.57.

Given that,

Account balance ever falls below zero, the bank charges her a fee of $5.95 per day.

Today, the balance in Lin's sister's account is -$2.67.

We have to find,

The balance in her account after 2 days.

According to the question,

If she does not make any deposits or withdrawals, the balance in her account balance after 2 days is = (2)($5.95) = $11.90.

And Today, the balance in Lin's sister's account is -$2.67.

Then, The balance in her account after 2 days = The balance in her account after 2 days + The balance in Lin's sister's account.

= $11.90 + $2.67 = $14.57.

Hence,  The required balance in her account after 2 days is $14.57.

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