Each human hair has a width of about 6.5×10 −4meter. What is this width written in standard form?

Answer:

i^85 = i

A way you can solve this is divide 85 by4

The remainder is one right? that means i^85 is the same as i^1. remember, i^1 = i.

Answer:

38

Step-by-step explanation:

1-4 rounds down so like 37.4 would just be 37 5-9 rounds up to the next number

38 is 37.5 rounded to the nearest whole number

1. If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.

2. If the digit to the right of the place you're rounding is less than 5, keep the digit the same and change all digits to the right to 0.

3. If you're rounding 9 up, carry 1 over to the next place to the left. For instance, when rounding 987 to the nearest hundred, you would round up the 9 because 8 is greater than 5. The answer would be 1,000, because you have to carry the 1 over to the left.

37.5 rounded to the nearest whole number ?

If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.

37.5 rounded to the nearest whole number = 38.0

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Answer:

its c.7

Step-by-step explanation:

I took the quiz

Answer:

c. 7

Step-by-step explanation:

i had this quiz also

8 laps time 1/4 mile is 2 miles .

Average speed in miles per hour:

2 mi / 12.5 min * 60 min/hour = 9.6 mph

Average velocity is zero, since velocity is directional and the person jogged around a track. [I mention that in case this was set up as a trick question.]

But if we're really looking for average speed in m/s we can easily convert:

A mile is about 1.6 km, so it's about 1600 m.

(2 mi * 1600 m/mi) / (12.5 min * 60 s/min) = 1800 / 750 = 2.4 m/s

The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

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Answer:

13(2b-1)

Step-by-step explanation:

Both have the factor 13.

13(2b-1)

Answer:

I think it is 10x +40

Step-by-step explanation:

Answer:

C. 10x - 40

Step-by-step explanation:

5 times 2x is 10x. 5 times -8 is -40. Put them together to get 10x - 40.

Hope it helps!

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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Answer:

predict the impact of removing snakes from this food web

Answer:

Sin=4/rad41

Cos= 5/rad41

csc=rad41/4

sec=rad41/5

cot= 5/4

Step-by-step explanation:

Answer:

285 min

275 min

chi

tie

Step-by-step explanation:

swim - 1.5 km

bicycle ride - 40 km

run - 10 km

1) Alexandra

swim time = distance / velocity = 1.5 / 5 = 0.3 hr = 18 min

transition 1 time = 4 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 3 min

run time = distance / velocity = 10 / 6 = 1.6666667 hr = 100 min

so total time to complete the triathlon is

= 18 + 4 +160 + 3 +100

= 285 min = 4.75 hrs

2) Chi

swim time = distance / velocity = 1.5 / 6 = 0.25 hr = 15 min

transition 1 time = 5 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 5 min

run time = distance / velocity = 10 / 7.5 = 1.3333333 hr = 80 min

got flat tire that took 10 min to fix

so total time to complete the triathlon is

= 15 + 5 + 160 + 5 + 80 + 10

= 275 min

3) Alexandra won the race by 10 min

4)even though chi got flat tire , chi still won the race by 10 min,

if it took 20min to fix flat tire both their times would be 285 min and it would have been a tie.

The dimensions that would guarantee that the garden has the greatest possible area is 190 feet on the shorter side and 380 feet on the longer side to produce an area of 72,200 square feet.

A dimensions of a rectangle is the length of each side.

Let x = length of the shorter side

y = length of the longer side

If one side of the garden is bordered by a river and so it does not need any fencing, and assume that the longer side is this side, then the perimeter that only needs to be fenced by 760 feet of fencing materials is

2x + y = 760

y = 760 - 2x

The area of the rectangular garden is the product of the shorter side and the longer side of the garden. Hence,

A = xy

A = x(760 - 2x)

A = 760x - 2x²

To obtain the largest area possible, the first derivative of the area should be equal to zero.

A(x) = 760x - 2x²

A'(x) = 0

760 - 4x = 0

Solve for x.

760 - 4x = 0

4x = 760

x = 190

length of the shorter side = 190 feet

y = 760 - 2x

y = 760 - 2(190)

y = 380

length of the longer side = 380 feet

Solve for the greatest possible area.

A = xy

A = 190 feet(380 feet)

A = 72,200 square feet

" A gardener has 760 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. What dimensions would guarantee that the garden has the greatest possible area? "

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Answer:

Step-by-step explanation:

See image

Answer: D

PLEASE GIVE BRAINLIEST THANK YOU!!!

Based on the information given, Ben Brenner should include $16,000 in income on his federal income tax return. This includes the $10,000 awarded in punitive damages, $5,000 in kickbacks on the sale of goods, and $1,000 increase in the value of an asset. The money borrowed from the bank is not considered income for tax purposes.

Based on the given information, Ben Brenner should include the following amounts in his income for his federal income tax return:

1. Jury awarded punitive damages: $10,000
2. Kickbacks on the sale of goods: $5,000

The money borrowed from the bank ($8,000) is not considered income, and the increase in the value of an asset ($1,000) is also not taxable until the asset is sold.

So, the total amount to include in his income for the federal income tax return would be:

$10,000 (punitive damages) + $5,000 (kickbacks) = $15,000

Therefore, the correct answer is option a. $15,000

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The measures of the angles formed by the intersection of the chords in the circle with center H, obtained using circle theorems, including angles of intersecting chords theorem are;

The angles of intersecting chords theorem states that the angle formed by intersecting chords is half the sum of the arcs intercepted by the angle and the vertical angle.

m∠1 = 42/2 = 21° (The angle formed at the circumference is half the angle formed at the center)

m\(\widehat{BC}\) = 360 - (90 + 50 + 70 + 48 + 42) = 60° (The sum of angles round a circle is 360°)

m∠2 = (1/2) × (60 + 44 + 48) = 76°

m∠3 = 180 - (21 + 76) = 83°

m∠4 = 180 - 83 = 97°

m∠5 = m∠3 = 83°

m∠6 = m∠4 = 97°

m∠7 = 180 - 76 = 104°

m∠8 = m∠2 = 76°

m∠9 = 180 - 76 = 104°

m∠10 = (1/2) × (42 + 70 + 50) = 81° (The angle formed at the circumference is half the angle formed at the center)

m∠11 = 180 - (81 + 76) = 23°

m∠12 = 44/2 = 22°

m∠13 = (1/2) × (60 + 50) = 55°

m∠14 = (1/2) × (48 + 42 + 60) = 75° (Angles of intersecting chords theorem)

m∠15 = 180 - 75 = 105°

m∠16 = m∠14 = 75°

m∠17 = m∠15 = 105°

m∠18 = 180 - 2 × 35 = 110°

m∠19 = 180 - 110 = 70°

m∠20 = 180 - (55 + 70) = 55°

m∠21 = m∠26 = 35°

m∠22 = (1/2) × (70 + 90 + 60) = 110° (Angles of intersecting chords theorem)

m∠23 = 180 - 110 = 70°

m∠24 = m∠22 = 110°

m∠25 = m∠23 = 70°

m∠26 = 70/2 = 35° (The angle formed at the circumference is half the angle formed at the center)

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The calculated value |Z| = |-2.00722 | = 2.00722 > 2.054 at 0.02 level of significance. So their claim is wrong.

Given that the mean age of retirement for women, executives is 63.2

Given that the size of the sample 'n' = 78

Given that the mean of sample x⁻ = 64.2

Given that the standard deviation  'σ' = 4.4 years

Null hypothesis: H₀: μ ≠ 63.2

Alternative Hypothesis: H₁: μ = 63.2

Test statistic

Z =  -2.00722

|Z| =  2.00722 > 2.054 at 0.02 level of significance

The calculated value |Z| = 2.00722 > 2.054 at 0.02 level of significance

Therefore, we reject the hypothesis.

Statistics is the study of research and surveys on numerical data in mathematics. In order to conduct surveys, the hypothesis must be established. There are typically two different kinds of hypotheses. A null hypothesis is one that holds true, whereas an alternate hypothesis is another.

The null hypothesis is a broad assertion or default stance that there is zero happening or nothing happening in probability and statistics. For instance, there is no association between two measured events or a connection between groups.

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The population of the country will be twice what it was in 1980 approximately 67.8 years after 1980, which would be around 2047.

To find out when the population will be twice what it was in 1980, we need to set up an equation and solve for t.

Let's first determine the population in 1980:

N(0) = 217e0.0102(0) = 217

So, the population in 1980 was 217 million.

Now, we want to find out when the population will be twice that amount:

2(217) = 434

We can set up an equation:

434 = 217e0.0102t

Divide both sides by 217:

2 = e0.0102t

Take the natural logarithm of both sides:

ln(2) = 0.0102t

Solve for t:

t = ln(2)/0.0102

t ≈ 67.8

Therefore, the population of the country will be twice what it was in 1980 approximately 67.8 years after 1980, which would be around 2047.

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On solving we got that. he shorter pieces will therefore be 3 feet long and the longer pieces will therefore be 8 feet long.

Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.

The lengths of the shorter and longer pieces of a board should be determined.

the case

Let's say that the shorter parts are x in length.

as stated

Jared has an 11-foot wooden board with him.

In order for the longer piece to be 4 feet less than 4 times as long as the shorter piece, he wants to cut it into two pieces.

The length of the longer pieces is then equal to 4x - 4.

The equation then becomes

\(x + 4x - 4 = 11\\ 5x = 11 + 4\\ 5x = 15\\ x = 3 ft\)

The shorter pieces will therefore be 3 feet long.

The longer pieces' length -

\(4x - 4\\ = 4 X 3 - 4\\ = 12 - 4\\ = 8 ft\)

The longer pieces will therefore be 8 feet long.

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Answer:

Step-by-step explanation:

1 mile = 1.6 km

23 miles = 1.6 * 23

              = 36.8 km

Answer:

a negative rational number

Step-by-step explanation:

I'm pretty positive this is the answer, but its worded strange in my opinion

The probability that the T-shirt John picks is dark blue is 2/3.

To find the probability that John picks a dark blue T-shirt, we'll need to consider the total number of blue T-shirts and the number of dark blue T-shirts.
Determine the total number of blue T-shirts.
John has 2 dark blue and 1 light blue T-shirt, so he has a total of 2 + 1 = 3 blue T-shirts.
Determine the number of dark blue T-shirts.
John has 2 dark blue T-shirts.
Calculate the probability.
The probability that John picks a dark blue T-shirt is the number of dark blue T-shirts divided by the total number of blue T-shirts.
Probability = (Number of dark blue T-shirts) / (Total number of blue T-shirts) = 2 / 3.

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Answer:

$30

Step-by-step explanation:

Over 5 years she will have been paid $30 in interest. To find the amount of interest first find the total amount the account has after 5 years. The formula for simple interest is A=P(1+rt). Where A is the total amount, P is the principal (initial amount), r is the rate in decimal form, and t is the time in years.

Plug in the values to solve, A=200(1+0.03*5). Then, simplify to get A=230. Finally, to get only the interest, I, use the formula A-P=I. So, 230-200=30. Therefore, the interest Leila earned was 30 dollars.

The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

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Answer:

The hand moved \(\bf \frac{3}{4}\) of a complete turn.

Step-by-step explanation:

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \(\frac{1}{12}\) turns

9 hours     ⇒     \(\frac{1}{12}\)  × 9 = \(\frac{9}{12}\)

                                     = \(\bf \frac{3}{4}\) turns    (simplified)

∴ The hand moved \(\bf \frac{3}{4}\) of a complete turn.

The answer is  \(\boxed{\frac{3}{4}}\).

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

Answer:

y = 20x +22

Step-by-step explanation:

Answer:

yes.

................................

You need help with anything??

7x +2y= -17 is the result of adding these two equations 2x+3y=-5 and 5z-y = -12

What is equation ?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc.

given equations

2x+3y=-5

5z-y = -12

we have to add these two equations

Add 2x and 5x to get 7x

Add the y's

3y + (-1y)  OR 3y - y      

Which gives you 2y

add the (-5 and -12)

-12 + (-5) or -12 - 5 giving you -15

7x+2y=-17

Hence ,7x +2y= -17 is the result of adding these two equations 2x+3y=-5 and 5z-y = -12

the complete question is

What is the result of adding these two equations?

2x+3y= -5

5x - y = - 12

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The new volume of the right circular cylinder is 44 cubic centimeter.

The formula for the volume of the cylinder is given as

         V = Πr^2h              (1)

We have been given that,   V = 22 cubic centimeters

Now we need to find the volume of the cylinder which is denoted by V’ whose,

                  r = 2r

          and, h = h/2

Now putting the required values in equation (1) we get

 V’ = Π(2r)^2(h/2)

 V’ = Π4r^2(h/2)

V’ = 4/2(Πr^2h)

V’ = 2V   [as V = Πr^2h]

V’ = 2*22 cubic centimeter

V’ = 44 cubic centimeter

Hence the new volume of the right circular cylinder is 44 cubic centimeter

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Answer:

C.565 in.3 yeah maybe