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The distance between the two cities on the map is 0.45 inches , the correct  option is (A) 0.45inches  .

In the question ,
it is given that

the scale factor of the  map is 25 miles = 0.1 inches

So, 1 mile = 0.1/25 inches

= 0.004 inches

So , on the map 1 mile is represented by 0.004 inches

Given that the real distance between the two cities is 112.5 miles

So , on the map  112.5 miles = 112.5*0.004 inches

= 0.45 inches

Therefore , the distance between the two cities on the map is 0.45 inches , the correct  option is (A)0.45inches  .

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Using the concept of area, we got 165 bags is the smallest number of bags there groundskeeper must buy to cover the circular field.

The branch of mathematics which deals with measuring is known as Mensuration. It was basically first used for land surveys and other civic works in  Egypt. The father of mensuration is known as Archimedes. Mensuration is a discipline of mathematics which studies the measurements of various geometrical forms  possible and their areas, perimeters, and volumes, among other things.

Diameter of the field = 290 feet, radius = 145 feet

Area of the circular field =[tex]\pi r^{2}[/tex]

=>[tex]\pi[/tex]×145×145 =66018.5 square feet.

No of bags to be brought = 66018.5/400=165bags,

Hence, the smallest number of bags is 165 which groundskeeper must buy to cover the circular field.

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The probability that they pick the same number is 1/8.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

As given two students each use a random number generator to pick an integer between 1 and 8 inclusive.

So, the possible choices are,

8 - 1 + 1 = 8  Possible choices: 1, 2, 3, 4, 5, 6, 7, 8.

So, the probability is, 1/8.

Therefore, the probability that they pick the same number is 1/8.

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Answer: do c to my very ecucated guess bc c is always right

Step-by-step explanation:

Step-by-step explanation:

SOLUTION:

Step 1:

In this question, we have the following:

Step 2:

Part A:

The function that models the population of Star, ID in years since 2000 is:

Part B :

Use your function to predict the population of Star, ID in 2050

The year 2050 means that t= 50, we have that:

Part C:

The function:

models the population of Eagle, ID in years (x) since 2000.

Which city is growing faster? How do you know?

Answer:

From this equation, we can see that the growth rate is 5.6% annually.

Comparing this, with the initial function:

We can see that the annual growth rate of f(x) is 9.9 %

CONCLUSION:

The population of Star ID, with the function, g (x) has a faster growth rate.



Solution

We are given

Distance = 5/2 miles

Time = 1/4 hours

Answer:

The speed would [tex]10~\text{mph}[/tex].

Step-by-step explanation:

Step 1: State the formulas required

The formula for speed is:

[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]

Step 2: Substitute the values into the formula

The distance is [tex]\frac{5}{2}~\text{miles}[/tex] and the time is [tex]\frac{1}{4}~\text{hours}[/tex].

Substitute these values into the formula:

[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}\\\text{Speed}=\frac{\frac{5}{2}}{\frac{1}{4}}\\[/tex]

Step 3: Calculate

[tex]\text{Speed}=\frac{\frac{5}{2}}{\frac{1}{4}}\\\\\text{Speed}={\frac{5}{2}}\div {\frac{1}{4}}\\\\\text{Speed}={\frac{5}{2}}\times 4\\\\\text{Speed}={\frac{20}{2}}\\\\\text{Speed}=10[/tex]

So, the speed is  [tex]10~\text{miles per hour}[/tex]  or  [tex]10~\text{mph}[/tex].

Answer : x = 30 degrees

< JKL and < MKQ are complementary

Let < MKQ = x

Angle JKL is twice the measure of angle MKQ

JKL = 2 x MKQ

Sum of a complementary angles = 90 degrees

< JKL + < MKQ = 90

< JKL = 2MKQ

Substitute the value of < jkl

2(<2MKQ + Since, Therefore,

2x + x = 90

3x = 90

Divide both sides by 3

3x / 3 = 90/3

x = 30 degrees

The equation for the cost when the bowling alley charges $14 for the first game $10 for the second game is 24 + 5x.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario

In this case, the bowling alley charges $14 for the first game $10 for the second game and $5 per game for every game after.

Let the number of games be illustrated as x.

Therefore, the equation will be:

14 + 10 + (5 × x)

= 24 + 5x

This illustrates the cost.

An overview was given as the information given is incomplete.

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Answer: w=2.56

Step-by-step explanation:

7.68/3=2.56

The sum of  -1 (3/4) and 2 (1/2) is the same as the difference between 2 (1/2) and 1 (3/4).

Firstly, we will convert the mixed fractions into improper fractions.

-1 and 3/4 = -7/4

2 and 1/2 = 5/2

Addition of -1 (3/4) and 2 (1/2) = -7/4 + 5/2 = -7/4 + 10/4 = 3/4

Difference between  2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4

As both the values equal to 3/4 , we can say that the addition of  -1  and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.

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The exponential equation that represents the table is given as y = 81(3)^x.

Exponent-based equations in which the exponent or a portion of the exponent is a variable are known as exponential equations.

The standard exponential form is expressed according to the formula;

y= ab^x

Using the coordinate points (2, 9) and (3, 3) from the table, we can create simultaneous equation as shown;

9 = ab^2

3 = ab^3

Divide both equations

3/9 = ab^3/ab^2

1/3 = b^3/b^2

1/3 = b

Substitute b = 1/3 into any of the equations

3 = ab^3

3 = a(1/3)^3

3 = 1/27 a

a = 81

Determine the required equation

y = ab^x

y = 81(3)^x

This gives the required equation of the function.

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Answer: 81

Step-by-step explanation: Took the test & got it right :)

Answer:

Step-by-step explanation:-32x³z³+48x∧4z

Answer:

Step-by-step explanation:



Answer:

the value of 2/3 ^-2 is 18

To calculate hte possible values of y you have to apply the Pythagoras theorem:

Where

c will be the distance between the given points, and the hypothenuse of a right triangle

a will be the base of a theoretical triangle below the hypothenuse, you calculate it as (x2-x1)

b= will be the heigth of said triangle, you calculate it using the y-coordinates (y2-y1)

So:

Replace the expression with the given measurements to calculate the y-coordinate of the first point:

The possible values for y, since its

The image above represents a proof of the Pythagorean Theorem is image B.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle.

It states that the sum of the squares of the leg lengths equals the square of the hypotenuse length.

This is illustrated as:

a² = b² + c²

The values in image 2 will be used to ascertain this. Therefore,

5² + 12² = 13²

25 + 144 = 169

169 = 169

Therefore, B is correct as the value is gotten.

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Answer:

u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye

Step-by-step explanation:

The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional.

Occurrence to determine the conditional probability. P(A and B) = P(A) * P if A and B are two Independent events (B).

How can you calculate the likelihood of two occurrences, A and B, coming together?

The probability of their union, or the event that either A or B occurs, is equal to the total of their probabilities less the sum of their intersection if two occurrences A and B are not disjoint. P(A) + P(B) - P(A and B) (A and B).

The answer is then (0.28 + P(B) - (0.51 = 0.23).

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The result of the expression given is 3x - 3

To solve this problem, we have to simplify the equation, and write the expression.

Given that

[tex]\sqrt{x^2}+ 2x -3[/tex]

In the square root, we can eliminate the square and square root using the square root rule.

Lets apply that in this expression

[tex]\sqrt{x^2} + 2x - 3\\x + 2x - 3[/tex]

Lets solve the expression

[tex]x + 2x - 3\\3x - 3[/tex]

The value of the expression given is 3x - 3

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In the data set {30,45,49,50,63,75,75,77,84} the lower quartile is 47, the median is 63 ,and the upper quartile is 76 .

In the question ,

the data set is given as {30,45,49,50,63,75,75,77,84}

as the data set has 9 terms , the median will be the central term that is 5th term .

so the median is 63 .

For finding the lower and upper quartile , we break the set into two half .

lower half = {30,45,49,50}

the lower quartile will be the central value ,that is (45+49)/2 = 47

so, the lower quartile(Q₁) is 47 .

upper half = {75,75,77,84}

the upper quartile will be the central value ,that is (75+77)/2 = 76

so, the upper quartile(Q₃) is 76 .

Therefore , in the data set {30,45,49,50,63,75,75,77,84} the lower quartile is 47, the median is 63 ,and the upper quartile is 76 .

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Answer:

Step-by-step explanation:

Given Equation

3x^2 + x = - 2x - 7  

Solution

Add 2x + 7 to both sides

3x^2 +x + 2x + 7 = -2x - 7 + 2x + 7           Combine like terms

3x^2  + 3x + 7 = 0

Givens

x = (-b +/(√b^2 - 4ac))/2

x = (-3 +/- (√3^2 - 4(3 *7)) / 2*3

x = (- 3 +/- (9 - 84)) / 2 *3

x = (- 3 +/- √ (-75))/6

x = (- 3 +/-  8.660i ) / 6

x = -.5 +/-1.443i

Answer

x = -.5 + 1.443.i

x = -.5 - 1.443i

Given:

Price of chair = $320

Price of lamp = $55

Total cost of furniture Greg purchased is = $320 + $55 = $375

Since the store charges a 7% sales tax, it means the amount Greg paid in tax is

7% of Total cost of furniture purchased.

Thus, the amount Greg paid in tax is:

The amount Greg paid in tax

Answer:

Explanation:

The volume of a gas in a container varies inversely with the pressure on the gas

Let V represent volume

Let P represent Pressure

Rewrting the statement above Mathematically:

when V = 230 in³

P = 8 lb/in³

Substitute the value of P and V in the equation in order to ger k:

Triangles A, B, and C have a scale factor less than 1 in common

The figure that completes the question is added as an attachment

From the figure, we can see that triangles A, B, and C are smaller than the original triangle i.e. the triangle D

This means that triangle D is dilated by a scale factor less than 1 to form each of these triangles

This has just a slight difference to (a)

From the figure, we can see that triangles E, F, and G are bigger than the original triangle i.e. the triangle D

This means that triangle D is dilated by a scale factor greater than 1 to form each of these triangles

The conclusion about the scale factors is that

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ok

Measures base = 3cm

height = 4cm

tall = x

volume = 144 cm^3

Volume = Area of the base * tall

Area of the base = (3 * 4) / 2 = 12/2 = 6 cm^2

144 = 6*x

x = 144/6

x = 24 cm

Result: The chocolate is 24 cm tall.

1) For this question, all we need to do is to plug it in the value for x.

So,

2/3x -8 =0 Plugging into x the value x=12

2/3(12) -8 =0

8 -8 =0

0

So when x=12, then the equation is equal to zero. This leads us to conclude that 12 is the root or the solution of this equation.

Given the graph, you can identify that x-axis represents the number of the corresponding month, and the y-axis represents the Number of Newspapers distributed (in hundreds).

You know these points:

Notice that 200 school newspapers were distributed in the second month, and 300 school newspapers were distributed in the fourth month. Therefore, you can conclude that the number of school newspapers that were distributed in the second month must be between 200 and 300. You can set up that, for:

The y-value is:

Hence, the answer is: Second option.

Answer:

x = -3

Step-by-step explanation:

Add 7 to -8 = -1

1/3x = -1

Divide -1 by 1/3

x = -3

Answer:

x=-3

Step-by-step explanation:

Answer:

option

Step-by-step explanation:

THE THIRD GRAPH(X)

The linear equation that represents the problem is  4w + 30 = 150.

The dimension(width and length) of the rectangle is 30 cm and 45 cm .

A rectangle is a quadrilateral with 4 sides.

Opposite sides of a rectangle are equal to each other.

Opposite sides of a rectangle are parallel to each other.

Therefore,

perimeter of a rectangle = 2(l + w)

where

Hence, the perimeter of the rectangle is 150 cm. The length is 15cm greater than the width.

Therefore,

perimeter of rectangle = 150 cm

l = 15 + w

Hence,

150 = 2(15 + w + w)

150 = 2(15 + 2w)

150 = 30 + 4w

Therefore, the linear equation to represent the problem is  4w + 30 = 150.

Let's solve for the dimension of the rectangle.

4w + 30 = 150.

4w = 150 - 30

4w = 120

w = 120 / 4

w = 30 cm

L = 15 + 30 = 45 cm

Therefore,

length = 45 cm

width = 30 cm

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