Write a function to model the table (table is in picture)

Answer:

The decimal in simplest form is .625, and the fraction in simplest form is 5/8.

Step-by-step explanation:

To find the decimal that represents the shaded area, you have to find the fraction 5/8 and divide 5 by 8

Hope this helps!

Answer:

The area under the normal distribution curve is always positive, even if the corresponding z-value is negative. A negative z-value indicates that the value is below the mean, but since the area under the curve represents probability, it is always positive regardless of the sign of the z-value. Furthermore, since the curve is always above the x-axis, the area is also always positive.

TRUE

The equation of the line in slope-intercept form is y = 5x − 18.

Point-Slope Form:
The equation of the line in point slope form is (y − y1) = a(x − x1) \

given that the slope is 5 and the line passes through (4,2).

Here, x1 = 4, y1 = 2, and slope, a = 5.

Substituting these values in the given formula,

we get(y − 2) = 5(x − 4)Slope-Intercept Form:

The given equation in point slope form is (y − 2) = 5(x − 4).

Now, we will convert it into the slope-intercept form y = mx + b,

where m is the slope and b is the y-intercept.

To convert the given equation into the slope-intercept form,

we simplify it by solving for y.(y − 2) = 5(x − 4)

⇒ y − 2 = 5x − 20 (distribute 5)⇒ y

= 5x − 20 + 2 (add 2 to both sides)⇒ y

= 5x − 18

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Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280.

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) 100

Given data ,

Let the principal amount be = A

The value of A = $ 1400

Let the rate of interest be = r

The value of r = 10 %

Let the number of years = T

The value of T = 2 years

Now , the simple interest is calculated by the formula

Simple Interest = ( Principal Amount x Rate x Time Period ) 100

Substituting the values in the equation , we get

Simple Interest = ( 1400 x 10 x 2 ) / 100

Simple Interest = 14 x 20

Simple Interest = $ 280

Therefore , the simple interest in 2 years is $ 280

And , the total amount Patrick has to give back to the bank is given by the formula

Amount in 2 years = Principal + Interest

Amount in 2 years = 1400 + 280

Amount in 2 years = $ 1680

Therefore , the amount in 2 years is $ 1680

Hence , Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280

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Based on the calculations, the distance between points (-5, -5) and (-9, -2) on a coordinate plane is equal to: A. 5 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Given the following points:

Substituting the given points into the formula, we have;

Distance = √[(-2 - (-5))² + (-9 - (-5))²]

Distance = √[(-2 + 5)² + (-9 + 5)²]

Distance = √[3² + 4²]

Distance = √[9 + 16]

Distance = √25

Distance = 5 units.

In conclusion, we can logically deduce that the distance between the given points on a coordinate plane is 5 units.

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Complete Question:

What is the distance between (-5, -5) and (-9, -2?

Choose 1 answer:

A. 5

B. 7

C. √12

D. √29

Step-by-step explanation:

the vertex form of a quadratic function is

y = (x - h)² + k

with (h, k) being the vertex.

luckily for us the function is already defined in that form.

so, when we compare

y = (x + 4)² - 9

with the general form about (h, k) above we see

h = -4

k = -9

so, the vertex is (-4, -9).

Answer:

Step-by-step explanation:

We need to convert function to slope-intrcept form y=mx+b, where:

3x - 5y = 15​           {subtract 3x from both sides by 20}

-5y = -3x + 15                    {divide both sides by (-5)}

y = 3/5x - 5     ⇒   b = -5

Therefore y-intercept of the line is (0, -5)

Answer: 96 servings.

Step-by-step explanation:
There are 16 cups in 1 gallon, so 3 gallons of punch would be equal to:

3 gallons x 16 cups/gallon = 48 cups

If each serving size is 1/2 cup, then the number of servings in 3 gallons of punch would be:

48 cups / (1/2 cup/serving) = 96 servings

Therefore, 3 gallons of punch would provide 96 servings, assuming each serving size is 1/2 cup.

Answer:

5/4 or 1 . 1/4

Step-by-step explanation:

3/4 + 1/2 = 5/4 or 1 . 1/4

Answer: each pair of pants costed 15 $

Step-by-step explanation:

35+10 = 45/3 = 15

Answer: $15 each

Step-by-step explanation: add 35 + 10 = 45, then divide 45 ÷ 3 = 15

A. True .  As long as S > Qt, one may assume that the resource S is growing over time. If the amount of harvesting is greater than the amount of the resource, the resource may begin to decline in size over time.

The equation given for the dynamics of a renewable resource, St+1=St-Qt + ASt, shows that the resource is influenced by both harvesting (Qt) and growth (ASt). As long as the amount of harvesting (Qt) does not exceed the amount of the resource (S), the resource will continue to grow over time. This is because the growth term (ASt) is always positive, meaning that the resource will increase in size as long as it is not depleted faster than it can grow.

The given equation, St+1=St-Qt + ASt, is a general model for the dynamics of a renewable resource. It describes how the resource changes over time, taking into account both harvesting and growth. The term St represents the amount of the resource at time t, and St+1 represents the amount of the resource at the next time step. The term Qt represents the amount of the resource that is harvested at time t, and ASt represents the amount of the resource that grows over the same time period.  If we assume that S > Qt, meaning that the amount of harvesting is less than the amount of the resource, we can see that the resource will continue to grow over time. This is because the growth term (ASt) is always positive, meaning that the resource will increase in size as long as it is not depleted faster than it can grow. In other words, if the amount of harvesting is less than the amount of growth, the resource will increase in size over time.

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The calculated volume of the solid figure is 64 cubic cm

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

Dimensions = 4 cm by 4 cm by 4 cm

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

Volume = Base area * Height

Substitute the known values in the above equation, so, we have the following representation

Volume = 4 *4 * 4

Evaluate

Volume = 64

Hence, the volume of the solid figure is 64 cubic cm

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Perimeter = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm. We can calculate it in the following manner.

The perimeter of the rectangular piece of cardboard is the sum of all four sides. Using the given measurements of 8 cm by 6 cm, we can calculate the perimeter as follows:

Perimeter = 2(Length + Width)
Perimeter = 2(8 cm + 6 cm)
Perimeter = 2(14 cm)
Perimeter = 28 cm

Therefore, the perimeter of the rectangular piece of cardboard is 28 cm.
Hi! To calculate the perimeter of a rectangular piece of cardboard with measurements 8 cm by 6 cm, you can use the formula: Perimeter = 2(Length + Width). In this case, the length is 8 cm and the width is 6 cm.

Your answer: Perimeter = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm.

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Answer: 4x+8<120

x<28

Step-by-step explanation:

As per the statement in the question, the inequality will be 4x + 8 < 136.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the instructions given in the question,

The length (l) of the rectangle = x+4

The width (w) of the rectangle = x

As per the formula of the perimeter, P:

P = 2 (l + w)   (i)

Put the values in (i)

P = 2 (x + 4 + x)

P = 2x + 8 + 2x

P = 4x + 8

Then the inequality as per the statement in the question will be,

4x + 8 < 136.

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If the p-value is less than α, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean price of used cars at this particular dealership is statistically different from the national average. If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference.

To test whether the mean price of used cars at this particular dealership differs from the national mean, we can use a hypothesis test.

Let μ be the population mean price for used cars at the dealership, and let μ0 be the national mean price for used cars, which is given as $10,192.

We want to test the null hypothesis H0: μ = μ0 against the alternative hypothesis Ha: μ ≠ μ0, at a significance level of α = 0.05.

We can use a two-tailed t-test for the mean to test this hypothesis, assuming that the population standard deviation is unknown and using the sample standard deviation s as an estimate. The test statistic can be calculated as:

t = (X - μ0) / (s / √(n))

where X is the sample mean, s is the sample standard deviation, and n is the sample size.

Under the null hypothesis, the test statistic follows a t-distribution with n-1 degrees of freedom. We can then calculate the p-value associated with the observed test statistic, and compare it with the significance level α.

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Answer:

37.5 km2 ...............

Answer:

I believe the answer is substitution

Step-by-step explanation:

Hope this Helps :)

i think its called a regular expression.. but i'm not 100% sure. Sorry if im wrong.

Answer:

298

Step-by-step explanation:

15(10) + 12(7) + 8(7)

The most appropriate procedure from the given options that would improve the reliability and validity of grading short essay tests, thus addressing the complaint of sensitivity to bias and variability in grading, is: D) Using a scoring rubric.

A scoring rubric is a predefined set of criteria or guidelines that outlines the specific expectations and standards for evaluating student responses. By using a scoring rubric, the grading process becomes more objective, consistent, and transparent, thereby reducing bias and variability in grading.

A scoring rubric provides a structured framework that allows graders to assess and assign scores based on predetermined criteria, such as content knowledge, organization, clarity, coherence, and grammar. It ensures that all essays are evaluated using the same standards and eliminates subjective judgment as much as possible.

Administering more pretests (option A) may provide additional practice or feedback to students but does not directly address the issue of bias and variability in grading.

Grading on the curve (option B) adjusts grades based on the performance of other students in the class, which does not directly address bias or variability in grading. It can introduce its own set of issues and may not reflect the true quality of each individual student's work.

Implementing a contract system (option C) refers to a negotiated agreement between students and instructors regarding grading criteria, which may help clarify expectations but does not inherently address bias or variability.

Therefore, using a scoring rubric (option D) is the most appropriate procedure to improve the reliability and validity of grading short essay tests while minimizing sensitivity to bias and variability in grading.

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Answer:

The Thompson family uses up a 1/2

gallon jug of milk every 3 days.

rate drink milk per day

Solution =1/2÷3

= 1/6

So the answer is 1/6

Step-by-step explanation:

Hope you have a great/Amazing day.

Answer:

28 i think

Step-by-step explanation:

51+47=98

98-12 the ones that flew away that takes it to 86

86/3 the 3 balloons buntch than is 28

p.s. i mght of got some equations wrong but this is what i got

Each bar's height corresponds to the value of the quantity it represents. For comparing numbers and data, bar graphs are excellent.

In mathematics, the word "graph" has (at least) two distinct meanings. The term "graph" in elementary mathematics refers to a diagram known as a function graph or "function graph." A graph is, in the language of mathematics, a set of points and lines that link a subset (potentially empty) of the points and lines. Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. Bar charts, line charts, histograms, and pie charts are the four types of fundamental statistical charts.

Each bar's height corresponds to the value of the quantity it represents. For comparing numbers and data, bar graphs are excellent. The x and y axes are the names of the vertical and horizontal axes in bar graphs, respectively. A bar graph can be used, for instance, to compare your classmates' heights.

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Answer:

.25

Step-by-step explanation:

i do not know what Plot the first addend and the sum on the number. is... sorry

If a cone is sliced by a vertical plane that passes through the vertex, the resulting cross section will be a triangle.

The vertical plane cuts through the cone at its highest point, which is also the point where the two sides of the cone meet (i.e. the vertex). As the plane cuts through the cone, it intersects with the sloping sides of the cone at different angles, creating a triangular shape.

The resulting cross section will have the same base as the original cone, which is a circle. However, the height of the cross section will be shorter than the height of the original cone, since the vertical plane has removed a portion of the cone.

Overall, the resulting cross section will be a triangle with a circular base, which is often referred to as a frustum. This shape is commonly used in architecture and engineering, as it allows for tapered structures such as pillars and columns to be created.

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Part A: The animals are used for examining and determining the effect of a particular new drug for the treatment of the diseases and disorders before they are examined over humans. This practice is called as clinical trial.

The ethical issue associated with given type of testing is that animals have right to live and survive. They should not be subjected to the treatment where they experience harm or even death.

Part B: Those assigned to the control take a sugar pill. The only thing you want to vary across groups when you're conducting an experiment is the treatment. Since taking pills is a part of taking medication (the treatment), medical experiments often employ something called a placebo-controlled study where outcomes for those who are randomly assigned to take the medication are compared to outcomes for those who are randomly assigned to take a sugar pill. The sugar pill is expected to have no effect, so it serves as a useful baseline to compare the treatment to.

Have a good day!!!! <3<3

The line is dashed with a y-intercept at (0,-2) and slope of -3/2 which is a correct option(C)

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

-3x - 2y <6

Let's consider an equation of a line,

-3x-2y = 6

-2y = 3x + 6

y = -3/2x - 3

So, slope = -3/2

Substitute y =0 in the equation of a line

So, y-intercept at (0,-2)

Due to Inequality, the graphical representation of the line is a dashed line.

Hence, the line is dashed with a y-intercept at (0,-2) and a slope of -3/2

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Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Answer: The square roots, cube roots, etc., of natural numbers are irrational numbers

Step-by-step explanation: if their exact values cannot be obtained. of doesn't exist. A non-terminating and non-recurring decimal is an irrational number.

Answer:  -164

Step-by-step explanation:

Answer:-164

Step-by-step explanation:

−2(−8)

2

+2(−8)−20

Plug into each x-value

−

2

(

64

)

+

2

(

−

8

)

−

20

−2(64)+2(−8)−20

Square first

−

128

−

16

−

20

−128−16−20

Multiply

f

(

−

8

)

=

−

164

f(−8)=−164

Answer:

2/3

Step-by-step explanation:

Since there are 4 circles and 6 triangles, and they are asking for the ratio of circles to triangles, the fraction would be 4/6

4/6 when divided by two = 2/3 which is the simplest form of the fraction 4/6

The simplest ratio of circles to triangles would be; 2/3

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that there are 4 circles and 6 triangles.

Since there are 4 circles and 6 triangles, and they are asking for the ratio of circles to triangles, the fraction would be as given;

4/6

when divided by two we get;

2/3

This is the simplest form of the fraction 4/6

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