Fill in the boxes. 300 000 cm =____ m=____km

Rounding to the nearest day, the answer is 37 days.

Interest is a fee charged by a lender to a borrower for the use of money. It is typically a percentage of the amount borrowed and is paid periodically, such as monthly or annually. Interest is calculated based on the principal amount, which is the original sum of money borrowed, and the interest rate, which is the percentage charged for borrowing the money. Interest is a way for lenders to earn income on their investments, and for borrowers to pay for the use of money they do not currently have. There are different types of interest, such as simple interest, which is calculated only on the original principal, and compound interest, which is calculated on both the principal and any accumulated interest.

To find out how long it will take for Don's investment to earn $205 in interest, you can use the formula:

time = (interest earned) / (annual interest rate * balance)

First, you need to convert the interest rate from a percentage to a decimal by dividing it by 100: 5.5% ÷ 100 = 0.055.

Next, you can plug in the values:

time = $205 / (0.055 * $5500)

time = 0.03727272727 years, or approximately 37.2727272727 days.

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Answer:

Step-by-step explanation:

The correct answer for this question is Phil can swim 90 meters in 2 minutes.

According to the given question, Phil can swim 15 meters in 20 second.

So, in 1 second, Phil can swim: 15 meters/20 second=0.75 m/s

In other words, the speed of swimming of Phil is 0.75 m/s.

So, in 2 minutes i.e. in 120 second, the distance Phil can travel:

Distance= Speed x Time

Distance= 0.75 m/s x 120 s

Distance= 90 meters.

Hence, Phil swimmed 90 meters in 2 minutes. The speed of Phil is 0.75 m/s which can be used to determine further distances travelled with time if the motion is uniform.

Answer:

The answer is (3, 1.25).

Step-by-step explanation:

Since A is at (1, 1.75), count over to B in a way you would count quarters. Don't worry about going down to it just count over to B to where you're over the point. The number that you get for counting over to B is the first number which is 3. Then go back to point A and count down like your counting quarters until you're right across from point B. The number that you get from counting down to B is the second number which is 1.25. Put them together and you get (3, 1.25).

Hope this helps.

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Answer:

6 7/30

Step-by-step explanation:

Answer:

  4 and 5

Step-by-step explanation:

For answering questions like this, it can be useful to remember a few of the powers of small integers:

  2^4 = 16

  2^5 = 32

A logarithm can be considered to be an exponent of the base.

  \(\log_b(x) = a \ \Longleftrightarrow\ b^a=x\)

The ordering of powers of 2 relative to the number of interest (17) is ...

  16 < 17 < 32

  2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2

  log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality

  4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs

Log₂(17) lies between 4 and 5.

__

Additional comment

Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.

  log₂(17) = log(17)/log(2) . . . . . . using logs to the same base

Answer:

Step-by-step explanation:

researchers often measure individuals before and after treatment, and record the amount of difference between the two scores.

If the differences average around zero, it is an indication that the treatment has no effect.

However, if the differences are consistently positive (or consistently negative), it suggests that the treatment does have an effect.

A positive score indicates more pain before treatment than after.

a. The mean of the sample for n = 20 scores is

+4, +5, +2, 0, +7, +4, +3, +3, +2, -2, +1, +6, 0, +4, +7, -1, +3, +5, +4, +2

4 + 5 + 2 + 0 + 7 + 4 + 3 + 3 + 2 + (-2) + 1 + 6 + 0 + 4 + (-1) + 3 + 5 + 4 + 2

    = 55-3 / 20

   = 52/20 = +2.6

b. An average of +2.6 was estimated thus, it appears the treatment has an effect as a positive sign indicates more pain before treatment than after.

Answer:

the answer should be 3 and 5 :)

Step-by-step explanation:

the answer speaks for itself

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

About $0.35 per bottle.

Step-by-step explanation:

8.44 / 24 = .3516

Answer:

roughly 35 cents

Step-by-step explanation:

8.44/ 24= .3516

.3516x24= 8.44

Hope this helps. Plz give brainliest.

Step-by-step explanation:

Howdy there :)

To describe the transformation of the parent logarithmic function, you just need to follow these rules

1. A +  on the outside of the parentheses will mean a vertical shift upwards. As such, the transformation is moved 5 units up. If it was -, it would move 5 units down.

2. The inside of the parentheses will result in a horizontal shift right 4 units. The rule to remember is that these kinds of functions follow x(a - b) rules, meaning that when the 4 is subtracted, we are really talking about a positive four, unlike in standard arithmetic. Vice versa, a + 4 will mean a -4 four, since a - -4 is the same as a + 4. As such, we will move in the positive direction (right) on the y axis.

3. Since x is now -2x, we are reflecting about the y axis, meaning the function will switch from left to right or right to left.

4. The 2 in front of it represents a vertical dilation by a factor of 2. This is because our constant, 2, is greater than 1. If the number were in between 0 and 1, it would represent a vertical compression by the constant number.

The equation that is equivalent to the expression 7-2(3x+4)=8x is

-6x - 1 = 8x.

Option B is the correct answer.

We have,

To find the equation that is equivalent to 7-2(3x+4)=8x, simplify the given equation by applying the distributive property and combining like terms.

7 - 2(3x + 4) = 8x

First, distribute the -2 to the terms inside the parentheses:

7 - 6x - 8 = 8x

Combine like terms:

-6x - 1 = 8x

Thus,

The equation that is equivalent to the expression 7-2(3x+4)=8x is

-6x - 1 = 8x.

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Answer:

24

Step-by-step explanation:

4.8×5 you have 5 candy bars that are $4.80 each so you multiply that by 5.

Answer:

(32,92) and (−1,2)

Step-by-step explanation:

You have to equal the two Ys, meaning their values as well or you can find the value of the first x and then plug it in the second equation. There are many ways to solve this to.

Answer:

13-6=7

Step-by-step explanation:

lol

Answer:

it equals 7

Step-by-step explanation:

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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After 50 years, she gets the amount $5000 in her bank account.

According to the statement

we have given that the Lina placed $1000 in a bank account with an annual compound interest rate of 8%.

And we have to find that the How long will it take until she has $5000 in the account.

So, For this purpose, we know that the

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

The principal amount = 1000

And 8% of P.A. = 8/100*1000

8% of P.A. = 80.

So, According to this after 1 year the amount become

1080.

it means the equation become after t years.

Amount(t) = 1000 + 80t

And the amount is 5000 which is given then

5000 = 1000 + 80t

4000 = 80t

t = 50.

So, After 50 years, she gets the amount $5000 in her bank account.

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Answer:

y = -\(\frac{3}{8}\) - 1  

Step-by-step explanation:

3x+8y+-8            - Given

3x + 8y = -8        - Assuming the second "+" is meant to be an "="

8y = -3x - 8         - Isolating the y term (subtracting 3x from both sides)

y = -\(\frac{3}{8}\) - 1              - Isolating the y term (dividing both sides by 8)

Answer:

6.2 approx i believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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We saw that two angles are vertical if they share the same vertex.

In this case, we have the following angles A and B:

We also have the property that if angle A and angle B are vertical, then:

therefore, the measure of angle A is equal to the measure of angle B

ANSWER

The numbers are 7 and 9

EXPLANATION

Let the number be represeted by n and m.

One of these numbers (let's say n) is 2 less than the other: n = m - 2

The sum of the numbers is 16: n + m = 16

We have a system of equations:

We can substitute the first equation into the second and solve for m:

And then substitute back into the first equation to find n:

The numbers are 9 and 7.

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

Step-by-step explanation:

center=(-1,1)

radius=√16=4

distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius

Hence point lies on the circle.

In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.

To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).

The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.

Given data:

Cost of a 30-second commercial in 2021 = $5.6 million

CPI in 2021 = 271.4

CPI in 1967 = 33.4

To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:

Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)

Cost in 1967 = ($5.6 million) * (33.4 / 271.4)

Cost in 1967 ≈ $0.689 million

To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:

Cost in 1967 ≈ $68,900

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20.49 trillion is 412.25% larger than 4.00 trillion.

To calculate the percentage increase of a value from an initial value to a final value, you can use the following formula:

increase in percentage = ((final value - initial value) / initial value) x 100%

Percentage increase is useful in a variety of contexts, including: Finance, Sales, Economics, Science, Education. Percentage increase is a useful tool for measuring growth or change over time and comparing different values.

To find the percentage increase, we first need to calculate the difference between the two numbers:

20.49 trillion - 4.00 trillion = 16.49 trillion

Next, we can divide the difference by the original amount (4.00 trillion) and multiply by 100 to get the percentage increase:

(16.49 trillion / 4.00 trillion) * 100 = 412.25%

Therefore, 20.49 trillion is 412.25% larger than 4.00 trillion.

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