The length of a niww rectangulat playing field is 8 yardn longer than triple the width It the perimeter of the rectanguiar playing finld is 376 yards. what are its dimensiotis? The wieh is yards

The cost to bowl a game is $2.5.

Two or more expressions with an Equal sign is called as Equation.

Let g  represent the cost of bowling a game and s represent the cost of renting shoes.

Bill bowled 3 games at a bowling alley and rented shoes, spending a total of $9.00

3g+s=9..(1)

Leann bowled 5 games at a the bowling alley and rented shoes, spending a total of $14.00.

5g+s=14..(2)

Subtract equation 2 from 1

3g+s-5g-s=9-14

-2g=-5

Divide both sides by 2

g=2.5

Hence, the cost to bowl a game is $2.5.

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Answer:

If we let the number be represented by the variable "x", then "three less than a number" can be expressed as:

x - 3

The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin."

Afferent nerve fibers are axons (nerve fibers) of sensory neurons that carry sensory information from sensory receptors to the central nervous system. Many afferent projections arrive at a particular brain region. Afferent nerve fiber.

The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin." Biocytin is a modified form of biotin that can be taken up by neurons and transported along their axons. It is often injected into a specific region of interest and allowed to diffuse throughout the neural tissue. Afferent axons originating from the injected area can then take up and transport the biocytin, allowing researchers to visualize and study their pathways using various histological techniques, such as immunohistochemistry or avidin-biotin complex staining.

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We can write a ratio:

15/5 = 36/x

Let "x" equal the unknown part of the triangle.

Solution:

15/5 = 36/x

~Cross multiply

15x = 180

~Divide 15 to both sides

x = 12

Best of Luck!

Answer:

yes number one yes the second one 2/5

Step-by-step explanation:

Answer: ok little Timmy

Step-by-step explanation:

1 = yes

2 = 10

Answer:

5(c−4)=45

5c - 20 = 45

5c = 45+20

5c = 65

c = 13

The full price of the bracelets was $13.

Step-by-step explanation:

The mean score is a measure of central tendency that represents the average value of a set of numerical data. It is calculated by adding up all the values in the data set and then dividing the sum by the number of values.

To find the mean score for the class in terms of n and h, follow these steps:

1. Calculate the total score for students who scored 100: h * 100
2. Calculate the total score for students who scored 50: (n - h) * 50
3. Add the total scores from steps 1 and 2: 100h + 50(n - h)
4. Divide the sum from step 3 by the total number of students (n) to find the mean: (100h + 50(n - h))/n

So, the algebraic expression for the mean score of the class in terms of n and h is:

(100h + 50(n - h))/n

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Answer:

x = 1

Step-by-step explanation:

1/2(8x-6) = -1/3(9x-12)   distribute

4x-3 = -3x+4                 add 3x to both sides

7x-3 = 4                        add 3 to both sides

7x = 7                            divide by 7 on both sides

x = 1

Answer:

I believe the answer is 210.

Step-by-step explanation:

Answer:

Assume the unknown value is 'Y'

189 = 90% x Y

189 =

90

100

x Y

Multiplying both sides by 100 and dividing both sides of the equation by 90 we will arrive at:

Y = 3 x

100

90

Y = 210%

Answer: 189 is 90 percent of 2

Step-by-step explanation:

theres a another way

189x100÷90 which your answer will give 210

Answer:

Volume of a sphere is 4/3πr^3

Determine r for the radius and multiply by 2 for diameter

The hourly decay factor for the given case is 0.032.

According to the question,

We have the following information:

Suppose that a person's peak blood alcohol level is 0.04 (grams per 100ml) and that this level decreases by 20% each hour.

Rate of decline = -20/100

Rate of decline = -0.2

We know that the following formula is used to calculate the hourly decay factor:

C(1+r)

In this case, we have the following values:

C = 0.04 and r = -0.2

So, we have the following expression:

0.04(1-0.2)

0.04*0.8

0.032

Hence, the hourly decay factor for the given case is 0.032.

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The equation  of line parallel to y=3x+9, Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross.

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

parallel lines have the slop therefore if

k:y=-3x+-7 ------>slope=-3

and I:y=mx+b

I II K=-3

I:y=-3xb+

We have the point(-6,-9) put the coordinate to the equation:

-9=-3(-6)+b

-9=18+b add 18 to both sides

9=b=9

y=3x+9

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Parallel lines in geometry are coplanar, straight lines that do not cross at any point and have the equation y=3x+9. Parallel planes are any planes that never cross in the same three-dimensional space.

In geometry, parallel lines are coplanar, straight lines that do not intersect at any point. Parallel planes are any planes that never cross in the same three-dimensional space. Parallel curves have a predetermined minimum distance between them and no contact or intersection.

Therefore,

Parallel lines have the slop therefore if

Substitute the value of slope -3

Let the given equation be y=-3x+-7

The equation of line exists y=mx+b

the value of m=-3

substitute the value of m in the above equation then,

y=-3x+b

We have the point(-6,-9) put the coordinate to the equation:

-9=-3(-6)+b

simplifying the above equation, we get

-9=18+b

add 18 to both sides

-9+18=18+b+18

9=b=9

Therefore, the equation of the line passing through the point (-6,-9) that is parallel to the line y=-3x - 7 exists y=3x+9.

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The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.

To write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method

The digit 9 in the tenths place represents 9/10 or 0.9.

The digit 9 in the hundredths place represents 9/100 or 0.09.

The digit 9 in the thousandths place represents 9/1000 or 0.009.

Thus, the fractions are

0.9 = 9/10

0.09 = 9/100

0.009 = 9/1000

The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.

The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.

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Emily's annual pension, based on the given information, would be $5,200.

To calculate Emily's pension under the given pension plan, we need to consider her final average salary, the number of years of service, and the 2% multiplier.

Given information:

Average salary: $65,000

Years of service: 4 years

First, we need to calculate the final average salary.

The final average salary is the average salary over a specific period, usually the last few years of employment.

However, the given information does not specify the time frame for the average salary calculation, so we'll assume it includes all four years of service.

Final average salary = Average salary = $65,000

Now, let's calculate Emily's pension using the pension formula provided:

Annual pension = Final average salary × Years of service × Multiplier

Multiplier = 2% = 0.02

Annual pension = $65,000 × 4 × 0.02 = $5,200

Therefore, Emily's annual pension, based on the given information, would be $5,200.

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Electric vehicles offer two significant environmental benefits compared to gasoline-powered engines for transportation: reduced greenhouse gas emissions and improved air quality.

One major environmental benefit of electric vehicles (EVs) is their potential to reduce greenhouse gas emissions. Unlike gasoline-powered engines that release carbon dioxide and other pollutants during combustion, EVs produce zero tailpipe emissions. By relying on electricity as their primary source of power, EVs contribute to lowering greenhouse gas emissions and combating climate change. Furthermore, the environmental impact of EVs can be further reduced if the electricity used for charging them comes from renewable energy sources, such as solar or wind power.

Another environmental advantage of electric vehicles is the improvement in air quality. Traditional gasoline-powered vehicles emit pollutants such as nitrogen oxides, particulate matter, and volatile organic compounds, which contribute to air pollution and various health issues. In contrast, EVs produce no tailpipe emissions, resulting in cleaner air and a reduction in harmful pollutants. This can lead to significant improvements in urban areas where vehicular traffic is dense, reducing respiratory illnesses and enhancing overall public health.

In conclusion, the adoption of electric vehicles offers substantial environmental benefits, including reduced greenhouse gas emissions and improved air quality. These advantages contribute to mitigating climate change, protecting human health, and fostering a cleaner and more sustainable transportation system.

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B. Unlikely at 0.029 is the correct interpretation of the probability.

The probability of winning a door prize out of 35 people is given as 1/35, which is approximately 0.029.

The question asks us to interpret whether the event is unlikely or not. We are given a criterion that an event is unlikely if its probability is less than or equal to 0.05.

Since the probability of winning the door prize is less than 0.05, it meets the criterion for being an unlikely event.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.

For example, if you flip a fair coin, there are two possible outcomes - heads or tails. The probability of getting heads is 0.5, because there is a 50-50 chance of the coin landing heads-up. Similarly, the probability of getting tails is also 0.5.

Probability theory is a branch of mathematics that deals with the study of random events and their probabilities. It has many applications in various fields such as statistics, finance, science, engineering, and social sciences.

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I gotchu fam

Answer:

-3.5

Step-by-step explanation:

No time since i need to 'hurry'

but trust me this do be right

Given data:

The given triangle is shown.

The exterior angle is the sum of interior opposite angles.

Substitute the given values in the above expression.

Thus, the angle CAE is 98 degrees, so first option is correct.

Answer:

\(y = 36\)

Step-by-step explanation:

Given; the triangle above

Required

Find y

This question falls under the topic/subtopic similar triangles where we need to make comparison between similar sides'

But first, it should be noted that triangle MOP is similar to triangle MLN

This implies that

Side MP is similar to MN

Side MO is similar to  ML

Mathematically; This can be represented as follows;

\(\frac{MP}{MN} = \frac{MO}{ML}\)

Where MP =y; MN = y + 18; MO = 28; ML = 28 + 14

Substitute these values in the above expression

\(\frac{y}{y+18} = \frac{28}{28+14}\)

\(\frac{y}{y+18} = \frac{28}{42}\)

Multiply both sides by 42

\(42 * \frac{y}{y+18} = \frac{28}{42} * 42\)

\(\frac{42y}{y+18} = \frac{28*42}{42}\)

\(\frac{42y}{y+18} = 28\)

Multiply both sides by y + 18

\((y+18)*\frac{42y}{y+18} = 28 * (y+18)\)

\(42y = 28 * (y+18)\)

Open Bracket

\(42y = 28 * y+28 * 18\)

\(42y = 28y+504\)

Subtract 28y from both sides

\(42y - 28y = 28y - 28y +504\)

\(14y = 504\)

Divide both sides by 14

\(\frac{14y}{14} = \frac{504}{14}\)

\(y = \frac{504}{14}\)

\(y = 36\)

Answer:

y= 36

Step-by-step explanation:

also ily, no homo

Answer:

65 cars

Step-by-step explanation:

In the first month, there are 11, then the cars increased by 9 for the last 6 months, meaning you can do 6*9=54

You can then add that to 11, which is 11+54=65

The probability of at least four boys being chosen out of five students to do presentations from a class of 18 boys and 20 girls is approximately 9.37%.

The total number of ways to choose five students from a class of 38 is 38 choose 5, which equals 5,379. To find the probability of choosing at least four boys, we need to calculate the total number of ways to choose four or five boys and one or no girls.

The number of ways to choose four boys and one girl is (18 choose 4) * (20 choose 1), which equals 38,760. The number of ways to choose five boys and no girls is (18 choose 5), which equals 8,568. The number of ways to choose four boys and no girls is (18 choose 4), which equals 3,060.

Therefore, the total number of ways to choose at least four boys is 38,760 + 8,568 + 3,060 = 50,388. The probability of choosing at least four boys is therefore 50,388 / 5,379, which simplifies to 0.0937 or approximately 9.37%.



Out of a class of 38 students with 18 boys and 20 girls, five students are chosen to do presentations. The probability of at least four boys being chosen can be found by calculating the total number of ways to choose four or five boys and one or no girls. The number of ways to choose four boys and one girl is (18 choose 4) * (20 choose 1), while the number of ways to choose five boys and no girls is (18 choose 5). The number of ways to choose four boys and no girls is (18 choose 4). Therefore, the total number of ways to choose at least four boys is 50,388. The probability of choosing at least four boys is 0.0937 or approximately 9.37%.



The probability of at least four boys being chosen out of five students to do presentations from a class of 18 boys and 20 girls is approximately 9.37%.

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Answer:

1.11

Step-by-step explanation:

Slope of a line = (y2 - y1)/(x2-x1) = (100 - 0)/(90-0) = 100/90 = 10/9 = 1.11

Answer:

At most Jose can cut 6 whole pieces pieces with this length.

When bound to CR1 (complement receptor 1), C3b is cleaved by Factor I, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

The complement system is a part of the immune system that plays a crucial role in recognizing and eliminating pathogens. C3b is a component of the complement system that can opsonize pathogens, marking them for phagocytosis by immune cells. When C3b binds to CR1, which is present on B cells, the cleavage of C3b occurs. This cleavage is performed by an enzyme called Factor I, which is regulated by co-factors such as membrane cofactor protein (MCP). Factor I acts by proteolytically cleaving C3b into smaller fragments, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

These pathogen-associated B-cell co-receptor ligands play a role in the activation of B cells, promoting their immune response against the pathogen. By cleaving C3b, Factor I helps regulate and fine-tune the complement system, ensuring an appropriate immune response while preventing excessive inflammation or damage to host tissues.

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Answer:

Step-by-step explanation:

We can simplify y+2=1/2(x+2):

y+2=1/2(x+2)

y+2=(1/2)x+1

y=(1/2)x-1

See attached graph.

The expected value of X is 8.

a) Here is a sketch of the density function p(x) with respect to the detection area:

            |    

            |    

            |    

            |    

            |    

            |    

            |    

            |    

            |      

_____________|_____________

  1      1.5   3    6    10

b) The formula for the expected value (or mean) of a continuous random variable X with density function p(x) is:

E(X) = ∫xp(x)dx

To find the expected value of X for the given density function, we need to split the integral into several parts based on the different intervals where p(x) takes different forms:

E(X) = ∫_(-∞)^1 xp(x)dx + ∫_1^2 xp(x)dx + ∫_2^3 xp(x)dx + ∫_3^6 xp(x)dx + ∫_6^10 xp(x)dx + ∫_10^∞ xp(x)dx

Note that the first and last integrals are both zero, since p(x) = 0 for x < 1 and x > 10. The other integrals can be evaluated as follows:

∫_1^2 xp(x)dx = ∫_1^2 (x-1)dx = [x^2/2 - x]_1^2 = 1/2

∫_2^3 xp(x)dx = ∫_2^3 (x-1)dx = [x^2/2 - x]_2^3 = 3/2

∫_3^6 xp(x)dx = ∫_3^6 (1/3)dx = 1

∫_6^10 xp(x)dx = ∫_6^10 (x/12)dx = [x^2/24]_6^10 = 5/2

Therefore, we have

E(X) = 0 + 1/2 + 3/2 + 1 + 5/2 + 0 = 8

So the expected value of X is 8.

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Answer:

The measure of each interior angle of a regular polygon with 7 sides is about 128.6.

Step-by-step explanation:

hope this helps

Answer:

B

--------

Because:-

5, 12, 13 is a Pythagorean triple

3, 4, 5 is a Pythagorean triple

9, 12, 15 is a Pythagorean triple

7, 8, 9 is not a Pythagorean triple

use this rule:-

\(a^{2} +b^{2}=c^{2}\)