What was Bear B's average speed in
m/min? No units required for answer.

Answer:

ඞ

Step-by-step explanation:

The teacher's monthly income is $2750.

"A number that expresses parts of a whole object or a set of objects is called as a fraction. Parts of a fraction are a numerator, a denominator and a fraction bar."

According to the question

Rent paid by the teacher = $1100.

Amount of rent paid by a teacher is two-fifths of the teacher's monthly income.

Dividing rent paid by the teacher to two-fifths(fraction) of the teacher's monthly income gives us teacher's monthly income.

= \(\frac{1100}{\frac{2}{5} }\)

=  \(\frac{1100}{2}\) × \(5\)

= 550 × 5

= $2750

Hence, the teacher's monthly income is $2750.

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Answer:   The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.

Answer:

0

Step-by-step explanation:

Pink isn't on the spinner, and so he doesn't have any chance of spinning it.

Answer:

00%

Step-by-step explanation:

There is no color pink in one of the sections, meaning there is zero probability it will land on pink.

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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840 different numbers can be created selecting 4 of the digits from the number

From the question, we have the following parameters that can be used in our computation:

Number =  8712395

Digits = 4

The count of digits in the number is 7

Using the above as a guide, we have the following:

So, we have

Numbers = 7 * 6 * 5 * 4

Evaluate

Numbers = 840

Hence, 840 numbers can be formed

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3.- If the number of steps increases, the number of rods also increases.

4.- In the graph is shown because of the stepness or a positive slope, in the table is shown because the number of steps increase each time just in one unit and the number of rods increases in 4 units or more.

5.- 90

because at 8 steps there are 48 rods, and before it the number of steps is increasing by one unit, then we must add 9 + 10 + 11 + 12 to 48

9 + 10 + 11 + 12 + 48 = 90

Answer:

Explanation:

Given:

Initial population(a) = 9800

Rate of increase in decimal(r) = 2% = 2/100 = 0.02

Time period(x) = ?

To find:

Equation model and population after 7 years

Recall the below exponential growth function;

Let's go ahead and substitute the given value into the above to have the equation that models the population growth;

When x = 7, let's go ahead and solve for y;

So the population after 7 years will be 11,257 people

The zeroes of the function will be \(\rm -1 \pm \dfrac{\sqrt{78}}{6}}\)

A quadratic function is given by ax² +bx+c = f(x)

The given quadratic function is

f(x) = 6x² +12x - 7

The zeroes of the function will be given by

f(0) = 0

6x² +12x - 7 = 0

The zeroes are given by

\(\rm \dfrac {-b \pm \sqrt{b^2 -4ac}}{2a}\)

here

a = 6

b = 12

c = -7

Therefore the zeroes of the function will be

\(\rm \dfrac {-12 \pm \sqrt{12^2 -4*6*(-7)}}{2 *6}\)

\(\rm \dfrac {-12 \pm \sqrt{312}}{12}\)

\(\rm -1 \pm \dfrac{\sqrt{78}}{6}}\)

Therefore these are the two zeroes of the function.

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The  number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.

Now the given ratio is 5 : 9 : 4.

and total amount of the coins is $206.

There are three types of coins in the bag, 50¢, 25¢ and 10¢.

Suppose x be the the ratio of coins in the bag.

Hence, number of  50¢ coins = 5x

number of  25¢ coins = 9x

number of  10¢ coins = 4x

Now, given total amount = $206

and since $1 = 100¢

⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206

Solving them,

⇒ 2.5x + 2.25x + 0.4x = 206

⇒ 5.15x = 206

⇒ x = 40

Therefore,

number of  50¢ coins = 5*40 = 200

number of  25¢ coins = 9*40 =  360

number of  10¢ coins = 4*40 =  160

Hence, number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

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From properties of parallel lines the value of the indicated angle is 84° and the value of x is 4°.

Parallel lines are two lines that are equidistant from one another.

For the question 7 the two lines are parallel and the indicated angle is an alternate interior angle to the given angle. Hence the indicated angle is also 84°.

For question 8, the two angles are alternate exterior angles.

Hence they are equal. Therefore we can write a linear equation in x to solve for x.

21x+6=90

or, 21x=84

or, x=4°

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Answer:

there is no picture so I dont know what i have to do..

Answer:

I think it's 85 years old

The volume of the given prism in question is 276.7 cubic yd

The formula for calculating the volume of a square based prism is expressed as:

V = BH/3

where

B is the base area

H is the height of the prism

Determine the height using Pythagoras theorem

b^2 = 13^2 - 10^2

b^2 = 169 - 100

b^2 = 69

b = √69
b = 8.3yd

Determine the required volume

V = (10*10)(8.3)/3

V = 830/3

V = 276.7 cubic yd

Hence the volume of the prism is given as 276.7 cubic yd

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Answer: At most 18 acute angles

Step-by-step explanation:

The sum of the interior angles of an n-sided polygon is (n-2) × 180 degrees. In a convex polygon, each interior angle is less than 180 degrees.

Let a₁, a₂, ..., a₁₁ be the interior angles of the 11-sided polygon. Then the sum of the interior angles is:

a₁ + a₂ + ... + a₁₁ = (11-2) × 180 = 1620 degrees

Since each angle is acute, we know that each angle is less than 90 degrees. Let A be the number of acute angles. Then the sum of the acute angles is at most:

A × 90

So we have:

a₁ + a₂ + ... + a₁₁ ≤ A × 90

Substituting the sum of the interior angles, we get:

1620 ≤ A × 90

Solving for A, we get:

A ≤ 18

Therefore, the polygon can have at most 18 acute angles.

Answer:

K = 4

Step-by-step explanation:

The x-y point  ( K, -5 ) means that ...

x = K and y = -5

Let's plug in K and -5 for y in the equation to find the value of K (which is the same as x).

3(K) + (-5) = 7

3K - 5 = 7

3K = 7 + 5

3K = 12

K = 4

x² - 81 = 0 can be factored as (x-9)(x+9)=0. Therefore, the solutions are x=9 and x=-9.

The number of tickets that Sam can buy, given the amount he has to spend and the price of admission, is 36 tickets.

The rate of change is $ 0.75 per attraction.

The table on the number of tickets and total cost is:

Number of tickets                 1                        5                 10               15

Total cost                          $ 10. 75             $ 13.75       $17.50        $ 21. 25

The number of tickets that Sam can buy when he has $ 37 is:

= (Amount to spend - Cost of admission ) / Cost per ticket

= ( 37 - 10 ) / 0.75

= 36 tickets

The rate of change is therefore the $ 0.75 charged per ticket per event.

The number of tickets for $ 10. 75 is:

= ( Total cost - Cost of admission ) / cost per ticket

= ( 10. 75 - 10 ) / 0.75

= 1 ticket

The cost of 5 tickets :

= ( Number of tickets x cost per ticket) + cost of admission

= (5 x 0. 75 ) + 10

= $ 13. 75

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Hey there!

16

Expression: 1 * 16 = 16

1 pint = ? fluid ounces

If you want to find out how many fluid ounces 1 pint is, let's see how many each pint is.

1 pint = 16 fluid ounces.

1 * 16 = 16 fluid ounces(expression)

Answer: 16 fluid ounces and expression is 1 * 16 = 16.

Hope this helps!

\(\text {-TestedHyperr}\)

The calculated values of x and y in the figure are x = 2 and y = 4

from the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

equal side lengths

This means that

2y - 1 = 3y - 5

Evaluate

y = 4

Next, we have

x + 3 = 3/2x + 2

So, we have

1/2x = 1

This gives

x = 2

Hence, the values of x and y in the figure are x = 2 and y = 4

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According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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Answer:

62 in

Step-by-step explanation:

the Hypotenuse of a triangle is always longer than the two other sides, 27 + 32 is larger than all but one of the options, 62. Making 62 the answer by process of elimination.

The rate of change of the height of the water in the pool when the depth of the water is 8 feet is equal to 602.84 cubic feet per minute.

Rate of change is a major of house quickly one quantity change in relation to another it is parisu of the changing 122 the changing another quantity over specified time period.

The rate of change of the height of the water in the pool can be calculated by using the formula:
rate of change = (change in volume) / (change in time).

In this case, the change in volume is equal to the volume of the cylinder when the water is 8 feet deep minus the volume of the cylinder when the water is 0 feet deep. This is equal to (π*3^2*8) – (π*3^2*0), or 602.84 cubic feet. The change in time is equal to 1 minute.

Therefore, the rate of change of the height of the water in the pool when the depth of the water is 8 feet is equal to 602.84 cubic feet per minute.

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98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year by using z-score. The correct answer is (0.1859, 0.2133)

The point estimate for the proportion of American adults who earned money by selling something online in the previous year is:

p-hat = 914/4579 = 0.1995

To construct a 98% confidence interval for the population proportion, we can use the formula:

p-hat ± z*(sqrt(p-hat*(1-p-hat)/n))

where z is the z-score associated with the desired confidence level (98% corresponds to a z-score of 2.33), and n is the sample size. Plugging in the values, we get:

0.1995 ± 2.33*(sqrt(0.1995*(1-0.1995)/4579))

Simplifying this expression, we get:

(0.1859, 0.2133)

Therefore, the correct answer is (0.1859, 0.2133). This means we are 98% confident that the true proportion of American adults who earned money by selling something online in the previous year lies between 0.1859 and 0.2133.

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Answer:

224 miles

Step-by-step explanation:

What you would do is take the 3 hours times the 46 mph to get 138 miles.

3*46=138

Next, multiply the 2 hours by the 43 mph to get 86 miles.

2*43=86

Lastly, you're going to add the two.

138+86=224 miles.

Answer: B

Step-by-step explanation:

Answer 42

Step-by-step explanation:

18/3=6

6×7=42