Use the map and the provided ruler to find the actual distance between cities the actual distance between Lansing and Flint is_ miles​

Each feature of the graph should be matched with the corresponding coordinate point as follows:

In Mathematics, the vertical intercept (y-intercept) of any graph such as a quadratic function or an exponential function, generally occur at the point where the value of "x" is equal to zero (x = 0).

By critically observing the graph which represents the function (see attachment), we can logically deduce that the vertical intercept (y-intercept) is equal to the ordered pair (0, 7).

Additionally, the maximum point of any graph is the point where the graph is at the highest point, which is equal to the ordered pair (4, 16) while the minimum point of any graph is the point where the graph is at the lowest point, which is equal to the ordered pair (1.5, 2).

In conclusion, there is no horizontal intercept (x-intercept) on this graph.

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A bin of 50 parts contains 5 that are defective and a sample of 10 parts is selected without replacement, then total 40,753,713 samples contain at least 4 defective parts.

A bin of 50 parts contains 5 that are defective.

A sample of 10 parts is selected without replacement.

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = Samples with precisely 4 defectives + samples with precisely 5 defects

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = [tex]^{5}C_{4}\cdot ^{45}C_{6}+ ^{5}C_{5}\cdot^{45}C_{5}[/tex]

Using the formula [tex]^nC_{r} = \frac{n!}{r!(n-r)!}[/tex]

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = [tex]\frac{5!}{4!(5-4)!}\cdot\frac{45!}{6!(45-6)!}+\frac{5!}{5!(5-5)!}\cdot\frac{45!}{5!(45-5)!}[/tex]

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = [tex]\frac{5!}{4!1!}\cdot\frac{45!}{6!39!}+\frac{5!}{5!0!}\cdot\frac{45!}{5!40!}[/tex]

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = [tex]\frac{5\times4!}{4!\times1}\cdot\frac{45\times44\times43\times42\times41\times40\times39!}{6\times5\times4\times3\times2\times1\times39!}+1\cdot\frac{45\times44\times43\times42\times41\times40!}{5\times4\times3\times2\times1\times40!}[/tex]

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = 5 × 15 × 44 × 43 × 7 × 41 + 1 × 9 × 11 × 7 × 41

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = 40,753,713

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In an isosceles triangle, if Angle DBC has a measure of 110 degrees and angle BDA has a measure of 22 degrees, then the measure of angle BAC is 48 degrees.

A triangle with two equivalent sides and angles with equal measures on opposing sides is said to be isosceles.

Triangle BAC's angles should be labelled as follows:

Angle BAC = x

Angle ABC = y

Angle BCA = z

Because a triangle's angles sum up to 180 degrees,

x + y + z = 180

As ACD and BCD are isosceles triangles,

angle DBC = angle DCB = 110 degrees

Because BDA and DBC are a pair of linear angles,

angle BDA + angle DBC = 180 degrees

Using values for angles DBC and BDA and substituting them,

22 + 110 = 180

By finding y,

y = 180 - 22 - 110

When the value of y is substituted in the equation x + y + z = 180,

x + (180 - 22 - 110) + z = 180

Solving for x,

x = 180 - (180 - 22 - 110) - z

Substituting the value of z = 180 - (22 + 110),

x = 180 - (180 - 22 - 110) - (180 - 22 - 110)

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The Prime Factors of 1352 are: 2, 2, 2, 13, 13.

352 ÷ 2 = 676

676 ÷ 2 = 338

338 ÷ 2 = 169

169 ÷ 13 = 13

13 ÷ 13 = 1

Again, all the prime numbers you used to divide above are the Prime Factors of 1352. Thus, the Prime Factors of 1352 are: 2, 2, 2, 13, 13.

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The simplified expression is equal to 13/24 - 3/8b.

It represents a value that can change, depending on the values of the variables.

For example, "2x + 3" is an algebraic expression. The variable x can take on any value, and the expression represents a value that is the result of adding 2 times x to 3. When x is equal to 5, the expression equals 2 * 5 + 3 = 13.

Algebraic expressions can be combined using the operations of addition, subtraction, multiplication, and division to form more complex expressions. They can also be simplified by combining like terms or using the distributive property.

Algebraic expressions are an important tool in mathematics, and are used in many areas including science, engineering, and economics. They can be used to model and understand complex systems, and to make predictions and analyze data.

The expression -1/4 + 1/12 - 1/8b + 13/24 can be simplified by finding the common denominators and adding the numerators:

-1/4 + 1/12 - 1/8b + 13/24 = (3 * -1/12) + (3 * 1/12) - (3 * 1/8b) + (3 * 13/72) = 3 * (-1/12 + 1/12 - 1/8b + 13/72) = 3 * (13/72 - 1/8b) = 13/24 - 3/8b.

So, the simplified expression is equal to 13/24 - 3/8b.

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Answer:

4 miles: 3 hours has a unit rate of 4/3 = 1.33 miles/hour which is greater than 17

7 miles: 1 hour has a unit rate of 7 miles/hour which is greater than 17.

Answer: its D

Step-by-step explanation: js trust mee :)

The domain and the range for the relation is {a, t, s, k, j, p} and {g, c, g, w, k, p} respectively.

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f make up this set (x).

A function's range is the collection of values it may take as input. The values in this set

Hence, once we input an x value, the function returns. The y values are those.

The domain is the input values or the x-coordinates. Hence the domain for the given relation is:

{a, t, s, k, j, p}

The range is the output value or the y-coordinate. Hence, the range of for the given relation is:

{g, c, g, w, k, p}

Hence, the domain and the range for the relation is {a, t, s, k, j, p} and {g, c, g, w, k, p} respectively.

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Step-by-step explanation:

From "Wild: From Lost to Found on the Pacific Crest Trail," it can be inferred that Strayed prepared extensively for her hike on the Pacific Crest Trail. She researched the trail and gathered information from books, maps, and other hikers who had completed the trail. She also purchased and outfitted herself with necessary gear, such as a backpack, hiking boots, and camping equipment. She planned to sustain herself by carrying food and supplies and re-supplying at towns along the trail. Strayed also took steps to physically prepare herself, such as training by hiking in the local mountains. She also mentions the time and thought she put into the planning and preparation, stating "I'd spent months getting ready" (chapter 2).

The number you think is 5.5

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

Let x represent the number you think. Thus, we can write:

(x - 10)² =  x²-10

x² - 20x + 100 = x²-10

-20x + 100 = -10

20x = 100 + 10

20x = 110

x = 110/20

x = 5.5

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y = 3 + 2[tex](3\sqrt{x} -1)[/tex] is a quadratic function.This function represents a real-valued function that maps a real number x to the real number y.

The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of a parabola is its vertex. It is the highest or the lowest point on its graph

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

The function y = 3 + 2[tex](3\sqrt{x} -1)[/tex] can be explained as follows:

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If Kim has health insurance with a deductible of $500 and 80/20 coinsurance then amount she pay if she incurs a loss of $1500 is (c)$700 .

In an 80/20 coinsurance, the insurance company pays 80% of covered expenses after the deductible has been met, and the policyholder is responsible for paying the remaining 20%.

So , if Kim incurs a loss of $1500, she first needs to pay the $500 deductible before her insurance kicks in. After that, she will pay for 20% of the remaining $1000 in covered expenses:

⇒ 20% of $1,000 = $200

So, in total, Kim will pay $500 for the deductible plus $200 in coinsurance, for a total of:

⇒ $500 + $200 = $700

Therefore, If Kim will pay (c) $700.

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Answer:

Step-by-step explanation:

600.15/ 7.5 = 80.02

Answer:

see below

Step-by-step explanation:

-x+y=14 --> so x=y-14

2x+y=-7  put x in here

2(y-14)+y =-7

2y-28+y = -7

3y =21

y=7

x= y - 14 = -7

A triangle    can   be formed.

Value that goes in the box is [tex]31\frac{3}{4}[/tex]

It's the same as the first angle mentioned. The value doesn't change.

=====================================================

Explanation:

3/4 = 0.75

1/2 = 0.50

The three given angles in decimal form are:

If these angles add to 180 degrees, then a triangle can be formed.

31.75+53.50+94.75

85.25+94.75

180

So, 31.75+53.50+94.75 = 180 is definitely the case.

Therefore, a triangle can be formed.

You'll type the mixed number [tex]31\frac{3}{4}[/tex] into the box which was that first angle mentioned.

Yes, it does reconcile my finding from part iii.

The finding that the number of cigarettes smoked being -10 to predict a birth weight of 125 ounces is unrealistic could be due to the fact that the model doesn't take into account other factors that could impact the weight of the child. The high proportion (85%) of women in the sample who don't smoke during pregnancy supports this conclusion, as it suggests that there may be other factors contributing to the weight of the child.

Key points:

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The complete question is:

(iii) According to the model, in order to predict a birth weight of 125 ounces, the number of cigarettes smoked would have to be -10. This is not realistic as the model describes that the average birth weight of the child when the mother is not a smoker is only 119.77 ounces. This could be because the model doesn't take into account the influence of other factors in predicting the weight of the child.

The proportion of women in the sample who do not smoke while pregnant is about 85%. Does this reconcile your finding from part iii?

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After finding the time period of particle, time elapsed between turning points is 1.57 seconds.

A particle is oscillating in one dimension, with a position by x=cos(2t).

The general equation of simple harmonic equation is

x = Acos(ωt)

At t = 0 the particle is at x =1.

On comparing ω = 2

Time period of the particle = 2π/ω

Now putting the value

Time period of the particle = 2π/2

Time period of the particle = π seconds

Thus, the particle takes half the time to get from one extreme to another, which is a turning point.

So, Time elapsed = π/2 seconds

Time elapsed = 3.14/2 seconds

Time elapsed = 1.57 seconds

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The complete question is:

A particle is oscillating in one dimension, with a position given by x=cos(2t). How many seconds elapse between turning points?

Answer:

see below

Step-by-step explanation:

area of a cylinder = top circle + bottom circle + lateral

r=4 h=5

lateral = perimeter of the circle * height = 2π*4 * 5 =40π

area of a circle = πr² = 16π

top & bottom =32π

total = 40π+32π =72π = 226.08

The surface area of a cylinder exists 72π square units.

A cylinder's surface area is equal to two times the sum of its side and base areas.

Let the equation be

Surface area = 2(base area) + (side area)

The Base area of the equation be

Base area = πr²

When r = 4,

substitute the values in the above equation, we get

Base area = π(4)²

simplifying the equation, we get

Base area = 16 π

side area = 2πrh

side area = 2π × 4 × 5

side area = 40π

The Surface area of the equation be

Surface area = 2(base area) + (side area)

substitute the values in the above equation, we get

surface area = 2 × (16 π) + 40π

simplifying the equation, we get

surface area = 32π + 40π

surface area = 72π

Therefore, the surface area exists 72π square units.

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Using mathematical operations, we can determine that the class will need to gather 200 pounds of empty cans if the recycling center's pricing for aluminum is $0.25 per pound.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation."

The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition and Subtraction (from left to right).

So, the book will cost us $50.

CP of aluminum is $0.25 per pound.

Then,

Number of pounds that will make is $50:

Number of pounds: 50/0.25

Number of pounds: 200

Therefore, using mathematical operations, we can determine that the class will need to gather 200 pounds of empty cans if the recycling center's pricing for aluminum is $0.25 per pound.

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Complete question:

Ken's seventh grade class plans to collect empty aluminum pop cans as a fund raiser to buy two new books for the school library. The books will cost a total of $50.

If $0.25 per pound is the current price for aluminum at the recycling center, how many pounds of empty cans will the class have to collect? (3 points)

This one shouldn't be too hard! :)

A diameter of a circle is just the total distance across the circle.

The two dots that stretch ALLLLL the way across the circle are dots R to S

Your answer is The third one RS

Hope this helps!

Answer: a = -3.25, b = -4, c = 0.5 and d = -4

Step-by-step explanation:

To find the coefficient of a cubic function, we can use the values in the given table to set up a system of equations and then solve for the unknowns.

Here is the system of equations we can set up using the values in the table:

y = ax^3 + bx^2 + c*x + d

0 = 0a + 0b + 0c + d

-4 = 1a - 4b + 1c + d

-26 = 8a - 4b + 2c + d

-48 = 27a - 4b + 3c + d

We can then solve this system of equations using matrix operations or Cramer's rule.

a = -26/8 = -3.25

b = -4

c = -26-8a = -26+26.5 = 0.5

d = -48-27a-4b-3c = -48+91.75-44-30.5 = -4

Therefore, the coefficient a = -3.25, b = -4, c = 0.5 and d = -4 for the cubic function y = ax³ + bx² + cx+d

It's important to note that this method of solving a system of equations is the most common way but not the only way to get the coefficients in this case.

Ma = 3x - 15, since mbdc = 3(x - 5) and m arc bc = x 25. Therefore, ma = 3x - 15, which is the product of 3 times (x-5).

To solve for ma, we need to start with the given information. We are given that mdbc = 3(x - 5) and m arc bc = x 25. We can start by expanding mbdc. We know that mbdc = 3(x - 5). This can be expanded by multiplying each term in the parenthesis by 3. We get mbdc = 3x - 15. We can then use this information to solve for ma. We know that ma = mbdc - m arc bc. Plugging in the values we found for mdbc and m arc bc, we get ma = 3x - 15. This is the product of 3 times (x - 5).  Therefore, ma = 3x - 15.

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The opportunity cost is that the person will earn less money during the years that you are in college.

Opportunity cost is the potential-forgone profit from a missed opportunity as the result of choosing one alternative and forgoing another.

The advantages of opportunity cost :-

Hence, the correct option is the opportunity cost is that the person will earn less money during the years that you are in college.

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Answer:

[tex]y=(x-3)^{2}[/tex]

Step-by-step explanation:

First, it should be noted that the parabola shown is just the parent parabola translated over 3 units to the right. To shift the parent parabola over to the right 3 units, we need to square x-3. So, the equation for the parabola shown is [tex]y=(x-3)^{2}[/tex].

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From the given triangle JKL, measure angle K is 65 degrees.

The length of the sides distinguishes triangles of the scalene, isosceles, and equilateral kinds. If the lengths of the three sides are all different, the triangle is a scalene triangle. A triangle that has equal lengths on each of its three sides is said to be isosceles.

The measure of angle j in the triangle JKL is 30 degrees less than the measure of angle K, while the measure of angle L is 80 degrees. measure the angle K.

Suppose angle K = x, at which point angle J = x-30 degrees, and angle L = 80 degrees.

The total of a triangle's three angles is 180 degrees, or K+L+J = 180.

The angles of the triangle are

since x+80+x-30

= 180 + 2x

= 180-80+30

= 130 and

x= 130/2 = 65 degrees.

K = 65 degrees,

L = 80 degrees, and

J = 35 degrees

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Complete question -

In triangle JKL,the measure of angle j is 30 degrees less than the measure of angle K and measure angle L=80. find measure angle K.

2. [tex]\angle 1 \cong \angle 2[/tex]

3. [tex]\overline{AC} \cong \overline{AC}[/tex]

4. [tex]\triangle ABC \cong \triangle CDA[/tex]

The probability that the proportion in a random sample is 0.99997.

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

For this case we have a random sample of 2500 people, this value represent n.

We know that in the sample selected the number of people who say that prefer shop online rather than in a store are 1575.

For this case we can calculate the sample proportion with this formula:

h(p) = x/n

       = 1350/ 2500

       = 0.54

Now, [tex]\mu_p =[/tex] 0.54

and, [tex]\sigma_p[/tex] = √0.54 (1- 0.54)/2500

            = 0.00996

and, we want to calculate the following probability:

P(p>0.50)

= 1- P(p< 0.50)

= 1 - P(z < (0.5 - 0.54)/ 0.00996)

= 1 - P(z< -4.016)

= 1- 0.00003

= 0.99997

c) For this case since the probability is very high we can conclude that the manager is correct since is very improbable that the true proportion would be lower than 0.5.

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The characteristic equation has 2 distinct real solutions if α > 16, 2 complex solutions if α < 16, and 1 repeated real solution if α = 16.

The characteristic equation of the differential equation y'' - 8y + αy = 0 is given by:

r^2 - 8r + α = 0

For 2 distinct real solutions, the discriminant of the characteristic equation must be positive, which leads to the condition:

(8)^2 - 4α > 0

64 - 4α > 0

-4α < -64

α > 16

For 2 complex solutions, the discriminant must be negative, which leads to the condition:

(8)^2 - 4α < 0

64 - 4α < 0

-4α > -64

α < 16

For 1 repeated real solution, the discriminant must be zero, which leads to the condition:

(8)^2 - 4α = 0

64 - 4α = 0

α = 16

For 2 distinct real solutions α > 16, For 2 complex solutions α < 16 and For 1 repeated real solution α = 16.

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The tangent's equation is tan = (r*) / (g), where g is the acceleration brought on by gravity.

Tan = (r*) / (g), where r is the circle's radius, is the object's angular speed, and g is the acceleration brought on by gravity, is the formula for the tangent to. The radius is the distance from the object's attachment point to the circle's center, whereas the angular speed refers to how quickly the object is spinning around the circle. The acceleration due to gravity, which represents the effect of gravity on the item, has a constant value of 9.8 m/s2. As a result, to determine the tangent of, one must determine the ratio of the acceleration due to gravity to the radius multiplied by the angular speed.

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When the figure is rotated around the line, a cylinder is created.

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