You can jog around your block twice and the park once in 10 minutes. You can jog around your block twice and the park 3 times in 22 minutes.

Answer: 180

Step-by-step explanation: Hope this helps :D

Answer:

180 Cows

Step-by-step explanation:

24 in 2 = 12/hr

12 cows x 15 hours = 180 cows

Answer:

B

Step-by-step explanation:

the zeros are the values of x on the x- axis where the graph crosses

the graph crosses the x- axis at 1 and 3

then the zeros are x = 1 , x = 3

Answer:  Weight of water in 1 cubic foot water (in pounds)

Weight of water in 1 cubic foot water (in ounces)=

Step-by-step explanation:

Given: One cubic foot holds 7.48 gallons of water.

One gallon of water weighs 8.33 pounds.

To find the weight of water in 1 cubic foot water in pounds we apply Unitary method.

Weight of water in 1 cubic foot water (in pounds)

⇒Weight of water in 1 cubic foot water (in pounds)

Since , 1 pound = 16 ounces .

Weight of water in 1 cubic foot water (in ounces)=

Step-by-step explanation:

The value of f(3) is 2.

Option B is the correct answer.

A function has an input and an output with a relationship between them.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 1/4 x [tex]2^x[/tex]

Substitute x = 3.

f(3) = 1/4 x 2³

f(3) = 1/4 x 8

f(3) = 2

Thus,

The value of f(3) is 2.

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Answer:

Step-by-step explanation:

a) The number of people showing up at the bar during any given minute is a Poisson process with an average rate of 1 person per minute. Let X be the number of people who show up during a random minute. Then X follows a Poisson distribution with parameter λ = 1. The probability of at least 3 people showing up in a random minute is:

P(X >= 3) = 1 - P(X < 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

We can use the Poisson probability mass function to find P(X = k) for k = 0, 1, 2:

P(X = k) = (e^-λ) * (λ^k) / k!

Plugging in λ = 1, we get:

P(X = 0) = e^-1 / 0! = 1/e

P(X = 1) = e^-1 * 1^1 / 1! = 1/e

P(X = 2) = e^-1 * 1^2 / 2! = 1/2e

So, the probability of at least 3 people showing up in a random minute is:

P(X >= 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2)) = 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e) = 1 - (5/2e)

b) The probability of having to wait at least 3 minutes for the next person to show up is equal to the probability of having 0, 1, or 2 people show up during the first three minutes. Using the same calculation as above, we find:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2) = (1/e) + (1/e) + (1/2e) = (2/e + 1/2e) = (5/2e)

So, the probability of having to wait at least 3 minutes for the next person to show up is 1 - (5/2e) = 1 - P(X <= 2).

c) If he has already waited for 1 minute, the probability of having to wait at least 3 more minutes for the next person to show up is equal to the probability of having 0 or 1 people show up during the next 2 minutes. Using the same calculation as above, we find:

P(X <= 1) = P(X = 0) + P(X = 1) = (1/e) + (1/e) = 2/e

So, the probability of having to wait at least 3 more minutes for the next person to show up is 1 - (2/e) = 1 - P(X <= 1).

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The number of snow globe in box is  x³/ 2744.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

length of one small cube = 14 foot.

Volume of small cube = l³

                                     = 2744 ft³

let the edge of one large cube be x.

So, volume of large cube= x ft³

Thus, number of globes in larges box

= Volume of large box/ Volume of small box

= x³/ 2744

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Answer:

16.66667% increase

Step-by-step explanation:

100 x 350 - 300/ 300 = 50/3 = 16.66667% increase

Formula for percent increase is below↓

Step-by-step explanation:

Zeros is another term for X intercepts.

We'd right the simplest form as (x-/+a), a being the zero

Just remember when you do that, change the signs. It shows -2, +2, +3. That becomes +2, -2, -3

Following that simple form, we get

[tex](x + 2)(x - 2)(x - 3)[/tex]

The amount that should be invested in order to have $2,290 in 16 years is $929.11.

What is compound interest?

The interest on a deposit calculated using both the initial principle and the accrued interest from prior periods is known as compound interest. In other words, compound interest is interest that is earned on interest.

Here, we have

Given: Xin will invest in an account paying an interest rate of 5.8% compounded annually.

Amount to invest = Future value / (1 + r)ᵗ

Where:

r = interest rate

t = time

X = $2,290 / (1 + 0.058)¹⁶

X = 2,290 / 2.46474

X = $929.11

Hence, the amount that should be invested in order to have $2,290 in 16 years is $929.11.

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In the xy-plane, the point (2,10) lies on the graph of the function f(x) = 2x^2 + bx - 8.  The value of b is 4.

What is linear equation?

A linear equation is an equation that describes a straight line in the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept. The slope of a line is the measure of how steeply the line rises or falls, and the y-intercept is the point at which the line crosses the y-axis.

In a two-dimensional coordinate system, a linear equation represents a straight line that can be graphed by plotting pairs of x and y values that satisfy the equation. The line passes through all points that satisfy the equation and no others.

We can find the value of b by using the point-slope form of a linear equation, which states that the equation of a line with slope m that passes through the point (x1, y1) is given by y - y1 = m(x - x1).

In this case, the slope of the line is equal to 4x, and the point (x1, y1) is (2, 10), so we have:

y - 10 = 4x * (x - 2)

Expanding the right-hand side, we get:

y - 10 = 4x^2 - 8x

Matching this equation with the given function f(x) = 2x^2 + bx - 8, we see that b = 4.

So the value of b is 4.

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The required value of the expression at x = 4 and x = -4 is 81 and 1/81 while as x gets larger simultaneously 3ˣ approaching to infinity.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Given expression,

= 3ˣ

put x = 4
= 3⁴ = 81

Now put x = -4
= 3⁻⁴
= 1/3⁴

= 1/81

Since x gets larger as x = 0, 1, 2, 3, and so on 3ˣ get 1, 9, 27, 81 and so on approaching to infinity.

Thus, the required value of the expression at x = 4 and x = -4 is 81 and 1/81 while as x gets larger simultaneously 3ˣ approaching infinity.

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The cost of one pound of potato is 0.73 pounds.

The mathematical field of algebra assists in the depiction of problems or conditions as mathematical statements. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Now in the given question , we have to find the cost of one pound of potato.

here we have to find the cost of one pound of potato mia bought.

she total spent $3.65 for them and bought five pounds of potatoes.

cost of one pound of potato

= [tex]\frac{total spent}{total bought} = \frac{3.65}{5} =0.73 pounds[/tex]

 hence, cost of one pound of potato is 0.73 pounds.

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The probability that at least one of the next five birds he sees is a song sparrow is 0.65

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

05716    16803   96568    32177      33855

76635    92290  88864     72794    14333

79019     05943   77510      74051    87238

97895      86481   94036    12749    24005

Also, we have:

Using the above as a guide, we have the following individual representations of at least one sparrow bird

Yes   Yes Yes No Yes

Yes No Yes No No

No Yes Yes Yes No

Yes Yes Yes No Yes

So, we have

At least one sparrow bird = 13

Total = 20

So, the probability is

P = 13/20

Evaluate

P = 0.65

Hence, the probability is 0.65

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Answer:

Step-by-step explanation: We can start the problem by using the principle of Proportional Equivalents. We can write two equations based on the given information:

Let's say that the rate of filling the pool with one large pump is x and the rate of filling the pool with one small pump is y.

Then, we can write the following two equations:

2x + 1y = 1/4 (because two large and one small pump can fill the pool in 4 hours)

1x + 3y = 1/4 (because one large and three small pumps can fill the pool in 4 hours)

Now we have two equations with two unknowns, x and y. We can solve for x and y using either substitution or elimination method. Let's use substitution method.

Solving for x:

From equation (1), we have 2x = 1/4 - 1y

Substituting this value of x in equation (2), we get:

1 (1/4 - 1y) + 3y = 1/4

Expanding and simplifying, we get:

1/4 - 1 + 3y = 1/4

3y = 1/2

y = 1/6

So, the rate of filling the pool with one small pump is 1/6.

Now that we have found the value of y, we can find the value of x.

x = 1/4 - 1y = 1/4 - 1 * 1/6 = 1/4 - 1/6 = 1/12

So, the rate of filling the pool with one large pump is 1/12.

Now that we have found the rate of filling the pool with each large and small pump, we can find the time it will take 4 large and 4 small pumps to fill the pool.

Let's call the rate of filling the pool with 4 large and 4 small pumps as R.

Then, R = 4 * 1/12 + 4 * 1/6 = 1/3

So, it will take 1/R = 3 hours to fill the pool with 4 large and 4 small pumps.

The measure of the length of x is equal to 20.1246 using the trigonometric ratios of cosine for angle C

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

Considering the right triangles; ∆ABC with hypotenuse = 45 and adjacent = BC, the triangle ∆ADC with hypotenuse = BC and adjacent = 9 with the angle C we can solve for BC as follows:

for ∆ABC;

cosC = 9/BC {adjacent/hypotenuse}

for ∆ADC;

cosC = BC/45 {adjacent/hypotenuse}

9/BC = BC/45

BC² = 9 × 45 {cross multiplication}

BC² = 405

BC = √405 {take square root of both sides}

BC = 20.1246

Therefore, the measure of the length of x is equal to 20.1246 using the trigonometric ratios of cosine for angle C

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The amount of water used for each month and rounded off to the nearest 1000 is;

Amount of water used in May = 12567 litres

Amount of water used in June = 452 litres

Amount of water used in July = 15623 liters

Approximate amount of water used in May to the nearest 1000 = 13,000 liters

Approximate amount of water used in June to the nearest 1000 = 0 liters

Approximate amount of water used in July to the nearest 1000 = 16,000 liters

Therefore, the amount of water used each month rounded to the nearest 1000 are 13,000, 0, and 16,000 respectively.

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Answer:

Step-by-step explanation:

To solve this problem, we must first use an equation that reflects the amount of acid in each solution and its relationship to the total volume of the resulting solution. We can use the following equation:

(C1 * V1) + (C2 * V2) = (C3 * V3)

Where:

C1 = concentration of the acid solution at 60% (in percent)

V1 = volume of the acid solution at 60% (in ml)

C2 = concentration of the acid solution at 30% (in percent)

V2 = volume of the 30% acid solution (in ml)

C3 = concentration of the resulting 50% acid solution (in percent)

V3 = volume of the resulting 50% acid solution (in ml)

In this case, we know the total volume of the resulting solution (V3 = 300 ml) and the desired concentration (C3 = 50%). We also know the concentration of one of the original solutions (C1 = 60%). So we can plug the known values ​​into the equation:

(60 * V1) + (30 * V2) = (50 * 300)

Clearing V1:

V1 = (300 * 50 - 30 * V2) / 60

Now that we have V1 as a function of V2, we can solve the problem to find the volume of the 60% acid solution to mix with the 30% solution. Substitute the known values ​​into the equation:

V1 = (300 * 50 - 30 * V2) / 60

V1 = (15000 - 30 * V2) / 60

V1 = 250 - (V2 / 2)

We can use this last equation to find the volume of the 30% solution that we must mix with the 60% solution:

V2 = 2 * (250 - V1)

Clearing V1:

V1 = 250 - (V2 / 2)

V1 = 250 - (2 * (250 - V1) / 2)

V1 = 250 - 250 + V1

V1 = 250

Therefore, we must mix 250 ml of 60% acid solution with 250 ml of 30% solution to produce 300 ml of 50% solution.

The area of the running track, given the parallel sections and the semicircle sections, is https://brainly.com/question/30584763

To find the area of the running track, you first need to find the area of the whole shape and then the area of just the inner section.

Area of whole shape :

= Area of both semicircles + Area of the rectangle

= ( π x 46. 41 ²) + ( 85 x ( 46. 41 x 2 ))

= 14, 659.06 m ²

Then, find the area of the inner section :

=  ( π x 36. 41 ²) + ( 85 x ( 36. 41 x 2 ))

= 10, 356. 45 m ²

The area of the running track is :

= 14, 659.06 - 10, 356. 45

= 4, 302. 61 m ²

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The required, each person can have 2/7 of a cake. This fraction cannot be simplified any further, so the answer is 2/7.

A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers.

here,
To divide the 2 cakes equally among 7 people, we can use division. We can think of the total amount of cake as 2 whole cakes or 2/1 cakes. To find out how much cake each person can have, we can divide the total amount of cake by the number of people:

2/1 cakes ÷ 7 people = 2/1 × 1/7 = 2/7 cakes per person

So each person can have 2/7 of a cake. This fraction cannot be simplified any further, so the answer is 2/7.

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"When solving an inequality, if you the coefficient is negative, as in-3x > 9, the inequality" statement becomes: true

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers. The equals sign in the equation-like phrase 7x 4 > 2x + 5 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 7x 4, is larger than the right part, 2x + 5, in the equation. Finding the values of x for which the inequality holds true will be of importance to us.

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Answer: 15 pounds

Step-by-step explanation:

10.4(x)+4.3(10)=7.96(x+10)

10.4x+43=7.96x+79.6

2.44x=36.6

x=15 pounds

(check my work. I may have done something wrong, but the equation should be correct.)

The acceleration was -26.04 m/s².

Equations of motion are a set of equations which describes the basic motion concepts like velocity, position, time and acceleration.

There are mainly three equations of motion.

v = u + at

s = ut + [tex]\frac{1}{2}[/tex] at²

v² = u² + 2as

v is the final velocity, u is the initial velocity, a is the acceleration, t is the time and s is the displacement.

Given,

Initial velocity of the motorist, u = 90 km/h = 90 × (5/18) m/s = 25 m/s

Final velocity of the motorist, v = 0 m/s (since the bike stopped)

Stopping distance, s = 12 m

Using the third equation of motion,

v² = u² + 2as

0² = 25² + (2a × 12)

24a = -625

a = -625 / 24 = -26.04 ≈ -26 m/s²

Hence the acceleration of the motorist was -26 m/s².

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Answer:

x = 80

Step-by-step explanation:

supplementary angles sum to 180°

sum the 2 angles and equate to 180

x + 40 + x - 20 = 180

2x + 20 = 180 ( subtract 20 from both sides )

2x = 160 ( divide both sides by 2 )

x = 80

I think this is it

252-(193×n) =131

Answer:

Step-by-step explanation:

In the compound interest formula: A = P(1 + r)^t

A represents the amount of money in the account at the end of the term t, including interest.

P represents the initial principal, or the amount of money invested.

r represents the interest rate, usually expressed as a decimal.

t represents the number of time periods over which the interest is compounded.

In the continuously compounded interest formula: A = Pe^(rt)

A represents the amount of money in the account at the end of the term t, including interest.

P represents the initial principal, or the amount of money invested.

r represents the interest rate, usually expressed as a decimal.

t represents the number of time periods over which the interest is compounded.

So the variables in the formulas and their descriptions are:

A: the amount of money in the account at the end of the term t, including interest

P: the initial principal, or the amount of money invested

r: the interest rate, usually expressed as a decimal

t: the number of time periods over which the interest is compounded.

Answer:

The triangle has an area of 192cm^2

Step-by-step explanation:

Given;

the formula to find the area of the triangle,

[tex]A=\frac{h_{b}b }{2}[/tex]

We can insert the values,

[tex]A=\frac{24*16}{2} \\\\\\A=\frac{384}{2} \\\\A=192cm^2[/tex]

The area of the triangle is 192cm^2.

Answer:

From the given information, we know that:

The thousands digit is greater than 6 and less than 8, so it must be 7.

The hundreds digit is the highest even number, so it must be 8.

The tens digit is 6.

The sum of the tens and ones digit is equal to the hundreds digit, so 6 + ones digit = 8.

Solving for the ones digit, we get:

ones digit = 8 - 6 = 2

Putting the digits together, we get the number: 7862.

So, the 4-digit number that satisfies all the given conditions is 7862.

Step-by-step explanation:

Given the clues, the thousands digit is 7, the hundreds digit is 8, the tens digit is 6, and the ones digit is 2; therefore, the 4-digit number is 7862.

Given the hints, we can infer that:

Therefore, the 4-digit number is 7862.

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Answer:

340 CDs

Step-by-step explanation:

To answer this question, we're dealing with three functions for one problem, namely the revenue function, the cost function, and the profit function.

The revenue function is R(q) = pq, where p is the price of a certain good and q is the quantity sold.

The cost function is C(q) = variable cost + fixed cost, where variable costs changes depending on the quantity of goods produced and fixed cost is a one-time cost for the producer (e.g., an investment, rent, etc.).

The profit function is P(q) = R(q) - C(q) and is simply the cost function subtracted from the revenue function.

The "break-even point" is the point at which profit = $0 and the point at which cost = revenue.

From the problem, we see that Jason invested $3349 (once) for his CDs and each disk requires $3.65 for the materials so our cost function is C(q)  = 3.65q + 3349

Furthermore, we see that each disks sells for $13.50, so our revenue function is R(q) = 13.5q

Our profit function then is P(q) = 13.5q - (3.65q + 3349) = 13.5q - 3.65q - 3349 = 9.85q - 3349.

Thus, to find the break-even point, we set profit = 0 and solve for q:

[tex]0=9.85q-3349\\3349=9.85q\\340=q[/tex]

With the data points (-2,-3) and (-1,-1), the linear equation is obtained as Option B: y = 2x + 1.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The data points are given for the equation.

Consider the first two points (-2,-3) and (-1,-1).

The slope intercept form of the linear equation is -

y = mx + b

Here m is the slope.

For calculation of slope the formula is -

m = (y2 - y1) / (x2 - x1)

Substitute the values in the equation -

m = [(-1) - (-3)] / [(-1) - (-2)]

m = (-1 + 3) / (-1 + 2)

m = 2/1 = 2

The equation becomes y = 2x + b.

Substitute the point (-2,-3) to get the value of b.

y = 2x + b

-3 = 2(-2) + b

-3 = -4 + b

b = -3 + 4

b = 1

Therefore, the linear equation is y = 2x + 1.

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