Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all. How many ride tickets was she able to ride while she was there? *

Answer:

9

Step-by-step explanation:

Length * Width = 43 * 36 = 1548 sq ft

1548 / 172 (sq ft per can of wood stain covered) = 9

Answer:

36

Step-by-step explanation:

sqrt(36)^2

36

I hope this helps

The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

Given data ,

Susan is running a 5k race. The graph of distance vs. time is shown

So , the slope of the first line is m₁

And , the slope of the second line is m₂

where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )

Now , slope of AB is

m₁ = ( 3/10 ) = 0.3

And , m₁ = 0.3 kilometers per minute

And , slope of BC is

m₂ = ( 4 - 3 ) / ( 20 - 10 )

m₂ = 1/10

m₂ = 0.1 kilometers per minute

Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )

Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

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Answer:

-10

Step-by-step explanation:

Answer:

 309

Step-by-step explanation:

-42 x -7 = 294 + 15 = 309

The solution set to the given system of inequalities is represented by the shaded region under the curve of f(x) = x^2 – 3 (including the points on the curve) and above the curve of g(x) = –x^2 + 2 (excluding the points on the curve). The overlapping region between these shaded areas represents the solution set to the system.

To graph the solution set to the system of inequalities y ≤ x^2 – 3 and y > –x^2 + 2, we can modify the graphs of f(x) = x^2 – 3 and g(x) = –x^2 + 2 accordingly. Here's how:

For the inequality y ≤ x^2 – 3:

The original graph of f(x) = x^2 – 3 is an upward-opening parabola with a vertex at (0, -3).

To graph y ≤ x^2 – 3, we need to shade the region below or on the parabola. This includes all points on the parabola itself.

Therefore, we shade the area under the curve of the original graph of f(x) and include the points on the curve.

For the inequality y > –x^2 + 2:

The original graph of g(x) = –x^2 + 2 is a downward-opening parabola with a vertex at (0, 2).

To graph y > –x^2 + 2, we need to shade the region above the parabola. This excludes all points on the parabola itself.

Therefore, we shade the area above the curve of the original graph of g(x) but exclude the points on the curve.

By modifying the graphs of f(x) and g(x) according to these shading instructions, we can graphically represent the solution set to the system of inequalities.

The solution set can be identified by observing the overlapping region or the intersection between the shaded area under the curve of f(x) and the shaded area above the curve of g(x). The points within this overlapping region satisfy both inequalities simultaneously.

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Step-by-step explanation:

Absolute value is the positive of a number.

Ex: -2 absolute value is 2

So -62 would have an absolute value greater than 50.

Answer:

-62

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 2, because it is the only factor that can go with both of the numbers.

Therefore , the solution to the given problem of slope intercept comes out to be  dy/dx = -1/2.

After you are certain if Y = mx + b, the gradient intercept approach can be employed. By using just one particular point on the line and its slope, the direction form is a way to represent an axiom for a line. The slope is defined as such rise across run and is represented first by point form (x,y), and may be calculated using the slope intercept method, y = mx + b. (0, b). By using just one specific statement on the vector and its slope, the direction form is a technique to write a linear model for a line.

Here,

Given : x² +2xy - 2y² +x =2

thus,

To find the gradient at point (-4,1) :

We have to find the dy/dx

so,

=>  2x + 2y + 2xdy/dx -2ydy/dx +1 =0

=> dy/dx (2x-2y) = -(2x+ 2y) -1

=>dy/dx = -(2x+2y) -1 / (2x-2y)

So , at the point (-4,1)

=> dy/dx = -(-8 + 2) -1 / (-8 -2)

=>dy/dx = 5/-10

=>dy/dx = -1/2

Therefore , the solution to the given problem of slope intercept comes out to be  dy/dx = -1/2.

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Rewrite the fractions to have a common denominator:

1/3 = 8/24

3/8 = 9/24

Now add:

8/24 + 9/24 = 17/24 cups total

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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The relationship between the circumference C of the circle in which the degree measure A of a central angle of a circle intercepts an arc length s of the arc is

B) C=360 degrees s over A

The relationship between the circumference C of a circle and the degree measure A of a central angle that intercepts an arc length s of the arc can be described by the formula:

s = A / 360 * C

Make C the subject of the formula

s = AC / 360

360s = AC

rearranging

AC = 360s

C = 360 degrees s / A

C = (s / A) * 360°

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Answer:

\(\textsf{B)} \quad C=\dfrac{360^{\circ}\:s}{A}\)

Step-by-step explanation:

In a circle, the ratio of an arc length (s) to the circumference (C) is equal to the ratio of the measure of the arc's central angle (A) to 360°.

This is because:

Therefore, this can be expressed as:

\(\dfrac{s}{C}=\dfrac{A}{360^{\circ}}\)

Cross multiply:

\(360^{\circ} \cdot s=C \cdot A\)

Now, divide both sides by A to isolate C:

\(\dfrac{360^{\circ} \cdot s}{A}=C\)

Therefore, the relationship between the circumference (C) of the circle in which the degree measure (A) of a central angle of a circle intercepts an arc length (s) of the arc is:

\(\large\boxed{\boxed{C=\dfrac{360^{\circ}\:s}{A}}}\)

Answer:

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

Answer:

\(f(x) =2 {(x - 1)}^{2} + 3x - 7 \\ f(0) = 2{(0 - 1)}^{2} + 3(0) - 7 \\ f(0) = 2 {( - 1)}^{2} + 0 - 7 \\ f(0) = 2(1)- 7 \\ f(0) = 2 - 7 \\ f(0) = - 5 \)

__o_o__

\(f(x) = 2 {(x - 1)}^{2} + 3x - 7 \\ f( - 3) = 2 {( - 3 - 1)}^{2} + 3( - 3) - 7 \\ f( - 3) = 2 {( - 4)}^{2} - 9 - 7 \\ f( - 3) = 2(16) - 16 \\ f( - 3) = 32 - 16 \\ f( - 3) = 16\)

I hope I helped you^_^

The correct answer is:

C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

The student set up a hypothesis test to investigate whether there is evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The null hypothesis is that the proportion is 0.5, and the alternative hypothesis is that it differs from 0.5.

The student obtained a standardized test statistic of z = -0.80 and a P-value of 0.2119.

To make a conclusion, the student needs to compare the P-value to the significance level α.

The significance level is given as 0.10, which means that the student is willing to accept a 10% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

Since the P-value of 0.2119 is greater than α = 0.10, there is not convincing evidence to reject the null hypothesis. Therefore, the student cannot conclude that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

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Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Step-by-step explanation:

a)

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is  10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

b)

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

data: 10997 out of 40000, null probability 0.5

x-squared = 8104.5, df = 1, p-value < 2.23-16

alternative hypothesis : true p ≠ 0.5

0.2705589  0.2793344

sample estimate

p

0.274925

∴ required confidence interval = (0.2705589, 0.2793344)

c)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

d)

FALSE

Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.

e)

TRUE

This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.

f)

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Answer:

2^2* 5^2.

Step-by-step explanation:

2)100

2)  50

5) 25

      5

100 = 2*2*5*5.

= 2^2* 5^2.

Answer:

0

Step-by-step explanation:

Answer:

8x3 to the 6th degree minus 4th5 odd one under.

Step-by-step explanation:

The area of the shaded region is  104 cm²

First, we need to know that the area of a circle is calculated using the formula;

A = πr²

Such that the parameters of the formula are;

First, let us find the area of the small circle

Area = 3.14 × 4²

Find the square value and multiply, we have;

Area = 50.24cm²

Area of the large circle = 3.14 × 7²

Find the square value and multiply

Area = 153. 86cm²

Area of the shaded region = Area of large circle - area of small circle

= 153.86 - 50.24

= 104 cm²

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Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

50%                     1/2              3/6            0.5

Step-by-step explanation:

You can either get a 1, 2, 3, 4, 5, or a 6.

The factors of 8 include 1, 2, 4, 8.

There is only a matching 1, 2, and 4, but you cannot get any more factors. There are only 3 numbers out of a possible 6 number choices, so 3/6.

3/6 can be simplified to 1/2, and as a percentage, that is 50%.

The range of the function ƒ(x) = 4² - \(100x^{x}\) is (-∞, ∞), meaning that the function can take on any real value.

What is the range of the function?

The range of the function ƒ(x) = 4² - \(100x^{x}\) depends on the behavior of the function as x approaches positive or negative infinity.

As x approaches positive infinity, the second term of the function (\(100x^{x}\)) will grow much faster than the first term (16), so the entire expression will approach negative infinity. Therefore, there is no upper limit to the range of the function.

As x approaches negative infinity, the second term of the function will become very large and positive, since negative values raised to an odd power will be negative and positive values raised to an odd power will be positive. The first term (16) will remain constant. Therefore, as x approaches negative infinity, the entire expression will approach positive infinity.

So the range of the function ƒ(x) = 4² - \(100x^{x}\) is (-∞, ∞), meaning that the function can take on any real value.

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Answer:

Y=1/4x-3/4

Step-by-step explanation:

I got this answer right on my questions

Answer:

mais age is 13

Step-by-step explanation:

104 divided by 8 is 13

The equation be y = -250x + 5000 then the value of x be 18.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression in mathematics.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Two expressions joined by an equal sign form a mathematical statement known as an equation.

A condition on a variable (or variables) is a pair of expressions in the variable (or variables) that have the same value. The solution or root of the equation is the quantity at which the variable's value satisfies the equation. If you swap the LHS and RHS, an equation still makes sense.

Let the given equation be y = -250x + 5000

simplifying the above equation

−250x + 5000 = 500

Subtract 5000 from both sides, we get

−250x + 5000 − 5000 = 500 − 5000

−250x = −4500

Divide both sides by -250, we get

−250x/-250 = −4500/-250

Therefore, the value of x be 18.

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The correct answer is option d. 1.5² +2²= w² ; 2.5 ft

A triangle is said to have a right angle if one of its angles is 90 degrees. The "right angle" is this particular angle. The side opposite the right angle is called the hypotenuse, and it is always the longest side in a right angle triangle.

For the right angle triangle; the Pythagorean theorem is used to find the lengths of the sides of a right triangle. It states that:

Length² + Base² = Hypotenuse²

1.5² + 2²  =  w²

Simplify it;

w² = √6.25

w = 2.5 ft

Therefore the option d. 1.5² +2²= w² ; 2.5 ft

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The Pythagorean equation is used to determine the lengths of the sides of a right triangle, which has a right angle.

The correct answer is option d. 1.5² +2²= w² ; 2.5 ft

If one of the angles in a triangle is 90 degrees, the triangle is said to have a right angle. The "right angle" is this particular orientation. The longest side in a right angle triangle is always the hypotenuse, also referred to as the side opposite the right angle.

The Pythagorean equation is used to determine the lengths of the sides of a right triangle, which has a right angle. In it, it is said:

Length² + Base² = Hypotenuse²

1.5² + 2²  =  w²

Simplify it;

w² = √6.25

w = 2.5 ft

Therefore the option d. 1.5² +2²= w² ; 2.5 ft

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Answer:

a) k=2.08 1/hour

b) The exponential growth model can be written as:

\(P(t)=Ce^{kt}\)

c) 977,435,644 cells

d) 2.033 billions cells per hour.

e) 2.81 hours.

Step-by-step explanation:

We have a model of exponential growth.

We know that the population duplicates every 20 minutes (t=0.33).

The initial population is P(t=0)=58.

The exponential growth model can be written as:

\(P(t)=Ce^{kt}\)

For t=0, we have:

\(P(0)=Ce^0=C=58\)

If we use the duplication time, we have:

\(P(t+0.33)=2P(t)\\\\58e^{k(t+0.33)}=2\cdot58e^{kt}\\\\e^{0.33k}=2\\\\0.33k=ln(2)\\\\k=ln(2)/0.33=2.08\)

Then, we have the model as:

\(P(t)=58e^{2.08t}\)

The relative growth rate (RGR) is defined, if P is the population and t the time, as:

\(RGR=\dfrac{1}{P}\dfrac{dP}{dt}=k\)

In this case, the RGR is k=2.08 1/h.

After 8 hours, we will have:

\(P(8)=58e^{2.08\cdot8}=58e^{16.64}=58\cdot 16,852,338= 977,435,644\)

The rate of growth can be calculated as dP/dt and is:

\(dP/dt=58[2.08\cdot e^{2.08t}]=120.64e^2.08t=2.08P(t)\)

For t=8, the rate of growth is:

\(dP/dt(8)=2.08P(8)=2.08\cdot 977,435,644 = 2,033,066,140\)

(2.033 billions cells per hour).

We can calculate when the population will reach 20,000 cells as:

\(P(t)=20,000\\\\58e^{2.08t}=20,000\\\\e^{2.08t}=20,000/58\approx344.827\\\\2.08t=ln(344.827)\approx5.843\\\\t=5.843/2.08\approx2.81\)

Answer:  D) a+bi

Where both a and b are real numbers.

In your textbook, you might see \(a,b \in \mathbb{R}\) to indicate that they are real numbers.

An example would be 7+13i, where a = 7 and b = 13.

Answer:

A)

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B)

\(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C)

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D)

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

Step-by-step explanation:

A) How many ways can you put all Jellybeans in a row

Total number of Jellybeans = 80

The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans

Therefore the number of ways the Jellybeans can be put in a row is :

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B) How many ways are there to select a handful of 20 jellybeans

lets assume:

yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d

a + b + c + d = 20

This is the number Non-negative integer solutions

= \(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3

hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D) In this case the value of C ≥ 3 and B ≤ 2

Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

if we notice the tickmarks on the triangle, we can see the all sides are equal, namely is an equilateral triangle, and if all sides are equal, then all interior angles are equal as well.

Let's recall that the sum of all interior angles in a triangle is 180°, now if we divide that by 3, that gives us 60, namely each angle in the equilateral triangle is 60°, that means

\(10x=60\implies x=\cfrac{60}{10}\implies \boxed{x=6} ~\hfill 12y=60\implies y=\cfrac{60}{12}\implies \boxed{y=5}\)