if you predict the population of Hamilton County in 2003, are you interpolating or extrapolating?

Answer:

\(\huge\boxed{7 parts=175000}\)

\(\huge\boxed{3parts=75000}\)

Step-by-step explanation:

The first step in sharing 250,000 in the ratio of 7:3 is to work out the total number of parts. To do this you would add 7 to 3, which gives you 10. This is because you can imagine there being 7 and 3 equally sized rectangles with the same amount contained within each of them. In total there will be 10 rectangles.

The next step is to work out the value of each part of the ratio. This can be done by dividing 250,000 by 10, this gives you 25,000. This is because you are sharing the total of 250,000 among the 10 equal parts.

To work out the value of 7 parts you would need to multiply 7 by the value of one part, which is 25000. This gives you 175,000.

To work out the value of 3 parts you need to multiply 3 by the value of one part, which is 25000. This gives you 75,000.

1) Add 7 to 3.

\(7+3=10\)

2) Divide 250,000 by 10.

\(\frac{250000}{10}=25000\)

3) Multiply 25,000 by 7.

\(25000*7=175000\)

4) Multiply 25,000 by 3.

\(25000*3=75000\)

The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q

Answer:

3x²y(8y - 1)

Step-by-step explanation:

yw;)

Answer:

it will be 88

Step-by-step explanation:

so you multiply your numbers to get your area so it will be 5×8=40 and 12×4=48 so now you add them up wich will be 88 so that's your answer

Answer:

550.

Step-by-step explanation:

I used an area equation that is equal to (x/2*5*y/2*5), x and y being the sides.

DR=8/2*5*5/2*5=250

K=12/2*5*4/2*5=40=300

We can add these together to get 550.

Answer:

-8

Step-by-step explanation:

I've taken a picture of the way I solved the equation.

Answer:

x = -3

Step-by-step explanation:

-8(x + -7) = 80

Multiplication signs rule:

+ * - = -

- * - = +

Then:

-8(x - 7) = 80

-8*x -8*-7 = 80

-8x + 56 = 80

-8x = 80 - 56

-8x = 24

x = 24/-8

x = -3

Check:

-8(-3-7) = 80

-8(-10) = 80

Answer:

row 3

row 2

6 and 10

Answer:

The answers are 1( row 3 ) 2( row 2 ) 3( 6 and 10 )

Step-by-step explanation:

I got it right on edge and also the person above me is correct have a wonderful day. (✿◠‿◠)

The statements that are true include the following:

A. the function is increasing over the interval -8 ≤ x ≤ -2.

B. the function is constant over the interval -2 ≤ x ≤ 2.

A. the function is decreasing over the interval 3 ≤ x ≤ 7.

In Mathematics, a piecewise-defined function can be defined as a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of the given piecewise-defined function, we can reasonably infer and logically deduce that it is constant over the interval -2 ≤ x ≤ 2, increasing over the interval -8 ≤ x ≤ -2, and decreasing over the interval 3 ≤ x ≤ 7.

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Answer:

The number is -5

Step-by-step explanation:

Let x be the number

I hope this helps!

Answer:

The number is -1.107142857142857

Step-by-step explanation:

I just used a calculator

The third graph represents the function g which is nonlinear and g(4) = 6.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that Function g is nonlinear and g(4) = 6.

A relation is a function if it has only one y-value for each x-value.

g(4) = 6.

The 4 is the input value and 6 is the output value.

(4, 6) is the ordered pair of the function g

Let us check the ordered pair (4, 6) which matches the graph.

The graph where a point touches at x = 4 and y =6 is the required graph

Hence, the third graph represents the function g which is nonlinear and g(4) = 6.

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Answer:

\(\frac{13}{6}\)inches

Step-by-step explanation:

Given parameters:    

  Growth of A = \(1\frac{3}{4}\) inches

  Growth of B = \(-\frac{1}{4}\) inches  

  Growth of C = \(\frac{2}{3}\) inches

Unknown:

Total growth for the three trees  = ?

Solution:

 The total growth;

 Total growth =  Growth of A + Growth of B + Growth of C  

 Total growth  = \(\frac{7}{4}\)  + (\(-\frac{1}{4}\) ) +  \(\frac{2}{3}\)

 Total growth  = \(\frac{21 - 3 + 8}{12}\)

Total growth = \(\frac{26}{12}\)   = \(\frac{13}{6}\)inches

The key features of the dashed graph are

A graph is a pictorial representation of a function

To describe the key features of the dashed graph, we proceed as follows.

So, the key features of the dashed graph are

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Answer:

A. cos( \(-\frac{\pi}{3}\))

Step-by-step explanation:

Typed the all the expressions into desmos and picked the ones that matched

The expression cos (π/12)cos(5π/12) + sin (π/12)sin(5π/12) is equivalent to expression cos( π/3).

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

The trigonometric expression is

⇒cos (π/12)cos(5π/12) + sin (π/12)sin(5π/12)

The trigonometric formula of cos (x-y) =  cosx cosy +sinx siny

Here x = π/12 and y = 5π/12

cos (π/12)cos(5π/12) + sin (π/12)sin(5π/12) = cos ( π/12 - 5π/12)

=cos( -π/3)

= cos( π/3)

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Answer:

The data set represented by the modified box plot is:

116, 118, 114, 117, 151, 126, 122, 114, 124

Step-by-step explanation:

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

Explanation:

A = ace

Q = queen

Theo's results are: 5, A, 2, 8, Q, 9

He got four numbers (5,2,8,9) out of 6 cards total. The empirical probability of getting a number is 4/6 = 2/3. Multiply this with the 24 trials to get (2/3)*24 = 48/3 = 16.

We expect Theo to get roughly 16 numbers if he conducted 24 trials. This is not guaranteed because of the nature of the random process. Though it should be fairly close to 16 assuming that we stick with that empirical probability (i.e. the amount of number cards is roughly 2/3 of the deck).

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

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The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

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The new yearly salary will be $31,694.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Employee c is paid an hourly rate of 13.25 per hour and works 2,080 hours per year.

And, The employee was just promoted and received a 15% raise.

Now,

Since, Employee c is paid an hourly rate of 13.25 per hour and works 2,080 hours per year.

And, The employee was just promoted and received a 15% raise.

Hence, The salary for 13.25 hours = 13.25 × 2080

                                                     = $27,560

And, The employee was just promoted and received a 15% raise.

Hence, The new salary = $27,560 + 15% of 27,560

                                    = 27,560 + 4134

                                    = $31,694

Thus, The new salary = $31,694

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Step-by-step explanation:

M/6-7=2/3

M/6=2/3+7

M=23/3×6

M=23×2=46

The amount of water the farmer can put in the tank increase when the larger tank is built is 106.33%.It takes 4days for the horses to drink all the water in the larger tank.

Percentage is a way of expressing a proportion or a fraction out of 100. It represents the number of parts per hundred of a quantity.

Dimension refers to a measurable aspect of an object or a system, such as length, width, height, depth, volume, area, or mass. In mathematics, dimension also refers to the number of coordinates required to specify a point in a space. For example, a two-dimensional shape like a square has two dimensions, length and width, while a three-dimensional object like a cube has three dimensions, length, width, and height.

To find the percentage increase in the amount of water the farmer can put in the larger tank, we need to calculate the volume of the original tank and the volume of the larger tank, and then compare the two.

The original tank has dimensions of 2 4/5 ft, 2 2/5 ft, and 2 1/2 ft. We can convert these mixed numbers to improper fractions for easier calculations:

2 4/5 ft = (2 x 5 + 4)/5 ft = 14/5 ft

2 2/5 ft = (2 x 5 + 2)/5 ft = 12/5 ft

2 1/2 ft = (2 x 2 + 1)/2 ft = 5/2 ft

The volume of the original tank is then:

Volume = Length x Width x Height = 14/5 ft x 12/5 ft x 5/2 ft

Now, the farmer plans to increase measurement  by 25%. To do this, we multiply each measurement by 1.25.

The dimensions of the larger tank would be:

Length = 14/5 ft x 1.25 = 3.5 ft

Width = 12/5 ft x 1.25 = 3 ft

Height = 5/2 ft x 1.25 = 3.125 ft

The volume of the larger tank is then:

Volume = Length x Width x Height = 3.5 ft x 3 ft x 3.125 ft

To find the percentage increase, we can compare the two volumes:

Percentage increase = ((Volume of larger tank - Volume of original tank) / Volume of original tank) x 100

Plugging in the values we found:

Percentage increase = ((3.5 ft x 3 ft x 3.125 ft - 14/5 ft x 12/5 ft x 5/2 ft) / (14/5 ft x 12/5 ft x 5/2 ft)) x 100

After calculating the above expression, we find that the percentage increase is approximately 106.33%. So, the amount of water the farmer can put in the larger tank will increase by approximately 106.33% when the larger tank is built.

Now, to find how many days it will take the horses to drink all the water in the larger tank, we can assume that the rate at which the horses drink water remains constant. Since the volume of the larger tank is approximately 106.33% more than the original tank, it will take the horses approximately the same amount of time to drink all the water in the larger tank, which is 4 days.

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Answer:

64°

Step-by-step explanation:

We know that a right angle is 90°

so we do 90° - 26° = 64°

The bag of apples weighs 1.89 pounds on Mars.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Malinda took a bag of apples on her trip to Mars.

The apples weighed 5 pounds on earth.

The formula is Weight on Mars,

= (Weight on Earth/9.81 m/s²) x 3.711 m/s²

= (5 / 9.81) x 3.711

= 1.89 pounds.

Therefore, the apple weighs 1.89 pounds on Mars.

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Answer:

$5.20 per pound

Step-by-step explanation:

$18.20 / 3.5 pounds = $5.20 / pound

Answer:

The image is not loading!!

Step-by-step explanation:

Re-upload the question so maybe I can see it.

Answer:

Congruent:

(x,y) —> (-x, -y)

(x,y) —> (x+5, y)

(x,y) —> (x, -y)

Not congruent:

(x, y) —> (5x, 5y)

(x, y) —> (0.5x, 0.5y)

Step-by-step explanation:

I hope this helps.

Answer:

7x+10

Step-by-step explanation:

2x(3x)+1x(x+10)

6x+1x+10

7x+10

The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.

To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.

Expanding the first term, we get 4x^2 + 4x.

Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.

Combining like terms, we obtain -3x^2 - 4x - 32.

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The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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Answer:

about 15

Step-by-step explanation:

14^2 = 196

15^2 = 225

so √196 = 14, √225 = 15

and 221 is close to 225, so it's about 15 and the exact value would also be between 14 and 15

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

Answer:

264 degree angle

Step-by-step explanation: