A rectangle has a width of 12 and a length of 18. Find its area.

Using the given information, the equation of the circle with radius 7 and center located at (-6 , 13) is (x + 6)^2 + (y - 13)^2 = 49.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (-6 , 13)

r = 7

(x - -6)^2 + (y - 13)^2 = 7^2

(x + 6)^2 + (y - 13)^2 = 49

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In the equation y = 2x + 3, the value of y when we substitute -3 for x is -3.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

To evaluate an equation means to substitute a value to the variable and perform the arithmetic operations included.

Given the equation y = 2x + 3, if we substitute -3 for x, the equation becomes

y = 2(-3) + 3

Performing the arithmetic operations, we can have the value of y.

y = 2(-3) + 3

y = -6 + 3

y = -3

Hence, for the equation y = 2x + 3, y is -3 when x is -3.

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peanuts + peanuts = peanuts

-----------------------

0.60x + 0.35(8-x) = 0.50*8

------

60x + 35*8 - 35x = 50*8

american history.

the foramtion of the country, the struggles that took place to found it, the social discourses, the creation of political parties and their impact, the crippling loss native americans experienced, racial disparaging,  societal progress, businesses and the economy, countless societal/political protests and reformations, the epidemics, the wars, the art, the inventions, the environment, the vernacular, the country in all of its stained glory.

The equation in standard form of the circle with radius 8 and center located at (-6 , 3) is (x + 6)^2 + (y - 3)^2 = 64.

The standard form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (-6 , 3)

r = 8

(x - -6)^2 + (y - 3)^2 = 8^2

(x + 6)^2 + (y - 3)^2 = 64

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Given that Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s, then its radius is 69,912 km.

Tangential speed is defined as the measure of the circumference of the circular path the object is moving along divided by the value of the amount of time it took to complete one rotation.

tangential speed = C/t

where C = circumference

t = time it took to complete one rotation

Given that Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s, solve for the circumference of Jupiter.

C = tangential speed x time

C = 12,293 m/s (9.9259 hours)(3600s/hr)

C = 439,268,719.3 m

Using the formula for circumference, solve for the radius of Jupiter.

C = 2πr

r = C / 2π

r = 439,268,719.3 m/2π

r = 69,911,788.03 m

r = 69,912 km

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Answer:

D. 69,912 km

Step-by-step explanation:

It implies that you follow through on your commitments and don't just claim you'll do something before breaking your word.

For eg: - If one says that I will complete the quiz by tomorrow, then being consistent implies I must complete the quiz by tomorrow. On the other hand, if I fail to meet the test by tomorrow then I am being inconsistent with my words. Therefore, both the task at hand and my words are consistent with each other

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Answer:

-(8/-4)² + 2 - 4³ = -66

Step-by-step explanation:

-(8/-4)² + 2 - 4³

Here we need to respect the order of operations.

So ,first we calculate what’s between parentheses :

8/-4 = -2

Then

-(8/-4)² + 2 - 4³ = -(-2)² + 2 - 4³

Then

We calculate the exponent :

(-2)² = (-2) × (-2) = 4

4³ = 4 × 4 × 4 = 64

Then

-(8/-4)² + 2 - 4³ = -4 + 2 - 64

Then

The expression -4 + 2 - 64 contains addition and subtraction.

So ,we start calculating from left to right :

-4 + 2 = -2

Then

-4 + 2 - 64 = -2 - 64 = -66

Conclusion :

-(8/-4)² + 2 - 4³ = -66

The amount of money Savannah will have after 10 days is $0.35

Amount Savannah started with = 5 pennies

= $0.01 × 5

= $0.05

Additional amount per day = 3 pennies

= $0.01 × 3

= $0.03

Total savings in 10 days = 0.05 + 0.03(10)

= 0.05 + 0.3

= $0.35

Number of days it will take for her to have at least $1.50 = 0.05 + 0.03d

1.50 - 0.05 = 0.03d

1.45 = 0.03d

d = 1.45 / 0.03

d = 48.33333333333333

Approximately,

d = 48.33 days

Therefore, the number of days it will take for her to have at least $1.50 us 48.33 days

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Answer:

j + 3 ≤ 12

Hope this helps :)

Solution, Explanation, & Check part below

Step-by-step explanation:

1. Isolate variable by doing the inverse operation which is subtracting 3 on both sides of the equation.

j + 3 ≤ 12

- 3 - 3

j ≤ 9

j can be any number that is less than 9 or equal to 9.

Check:

9 + 3 ≤ 12

12 ≤ 12

12 is equal to 12 ✓

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100.

The percent of the given number 26 % of 500 is 130.

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100. The term percent comes from the Latin "per centum" which means per hundred. The symbol percentage is used to represent percentage.

Let the equation be 26 % of 500

Percentage = (value/total value) × 100 %.

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

26 % of 500 = 26/100 of 500

26/100 × 500 = 130

Therefore, the percent of the given number 26 % of 500 is 130.

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The growth per year in Mountain Biking is 0.25 Million

In the year 2004 - 8 Million people participated

So, the slope point becomes (2004,8)

In the year 2006 - 8.5 Million people participated

So, the slope point becomes (2006,8.5)

Now we have points as :

[tex]X_1[/tex] = 2004

[tex]Y_1[/tex] = 8

[tex]X_2[/tex] = 2006

[tex]Y_2[/tex] = 8.5

Growth per year in the sport :

= [tex]Y_2[/tex] - [tex]Y_1[/tex] / [tex]X_2[/tex] - [tex]X_1[/tex]

= 8.5 - 8 / 2006 - 2004

= 0.5 / 2 = 0.25

Therefore, Growth per year in the sport is 0.25 Million per year

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Answer: The answer would be x = -3 + 0.5y.

Step-by-step explanation: pls give me brainliest. may help w/ my depression.

Answer: 84 2/3

Step-by-step explanation:

x-66 2/3=18

x=18 + 66 2/3

x=18 + 66 + 2/3

x=84 + 2/3

x=84 2/3

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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Answer:

Step-by-step explanation:

B)   and c)

b) is correct because x + 6 < 10

x < 10 -6

x < 4

c) is correct because

5x < 20

x < 20/5

x < 4

Answer:

  A.  0

Step-by-step explanation:

You want the discriminant of the quadratic 4x²+4x+1.

The discriminant of quadratic ax²+bx+c is ...

  d = b² -4ac

Your given expression has ...

Substituting these values into the formula for the discriminant, we get ...

  d = 4² -4(4)(1) = 16 -16 = 0

The discriminant of the polynomial is 0.

The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

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-3h is value of function j(x +h)-j(x) .

What is functions ?

j(x) = 3x-1

J(x + h ) = 3 ( x + h ) + 1

put the value

j(x +h)-j(x) = 3x-1 -  3 ( x + h ) + 1

                = 3x - 1 - 3x -3h + 1

                = -3h

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The true about the sum of the two polynomials- 6s^2t – 2st^2 and 4s^2t – 3st^2 is The sum is a binomial with a degree of 3.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

Now the given polynomials are,

6s^2t – 2st^2 and 4s^2t – 3st^2

Now adding these two polynomials we get,

Sum of polynomials = 6s^2t – 2st^2 + 4s^2t – 3st^2

Taking alike terms together,

= 6s^2t + 4s^2t – 2st^2 – 3st^2

Now simplifying we get,

= 10s^2t – 5st^2

Here we see that the highest power of a variable is 2.

Thus this sum of polynomials is a binomial.

Now sum of the powers of variable s and t = 2 + 1 = 3

Thus, Degree of the sum of polynomials is 3.

Thus, the true about the sum of the two polynomials- 6s^2t – 2st^2 and 4s^2t – 3st^2 is The sum is a binomial with a degree of 3.

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Answer:

1.

Step-by-step explanation:

67 is a prime number so we write

67 = 1 * 67

The GCF of 67 and 146 is 1.

The value of – 90 7 50 written as a decimal number is -90. 14

Decimals are the types of numbers, having a whole number and the fractional part that is separated by a decimal point.

The dot present that is found between the whole number and fractions part is known as the decimal point.

Given the mixed fraction;

– 90 7 50

Let's convert to improper fractions;

 -4507  /50

Find the ratio

-90. 14

Thus, the value of – 90 7 50 written as a decimal number is -90. 14

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ΔJKL has sides that are of 70.37 units.

So,

The formula of perimeter: √(x₂−x₁)²+(y₂−y₁)²

Filling the values in the formula, we obtain:

Then, each side of the triangle will be: 70.37 units

Therefore, ΔJKL has sides that are 70.37 units.

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Value of the expression 3/7 . 21/21 after simplify is equal to  3/7.

As given in the question:

Given expression :

3/7 . 21/21

Simplify the given expression 3/7 . 21/21

3/7 . 21/21

= {(3 /7 ) ×21 } /21

= ( 3 ×21 ) / (7 × 21)

21 is the common number between numerator and denominator

= 3/7 .1

= 3/7

Therefore, value of the expression 3/7 . 21/21 after simplify is equal to  3/7.

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The correct option is d) 7.

A production function indicates the proportion of a combination of inputs (labor and capital) that produces a given amount of output. Firms determine the quantity produced given the output price level and the quantity of a combination of input factors provided by the prices of capital and labor. Dividing the output by the number of capital and labor units employed gives the average capital and labor production, respectively.

The production functions,

Q = 3 K + 4 L

k = 10

L = 10

Q = 3 ( 10 ) + 4 ( 10 )

Q = 30 + 40

Q = 70

Average capital production is calculated by dividing output (Q) by the amount of capital used to produce that output (K).

Average capital production = output / capital

= 70 / 10

= 7

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Yes, it is true that an alternative hypothesis states that the direction one expects to see in the difference between treatments while the null hypothesis does not.

Null and alternative hypothesis are the two statistical hypotheses and research hypothesis is another name for the alternative hypothesis. Whenever there is difference in the outcomes of interest then it is an alternative hypothesis. And the null hypothesis is the statement of equality. The null hypothesis and alternative hypothesis both are complementary to each other.

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Answer: t∈[0.6]     0 c≤t≤6 c

Step-by-step explanation:

h=316+48t-16t²

-16t²+48t+316≥28

-16t²+48t+316-28≥28-28

-16t²+48t+288≥0

Divide both parts of the equation by 16 :

-t²+3t+18≥0

Multiply both parts of the equation by -1 (in this case, change the sign of the inequality to the opposite)

-(-1)t²+(-1)3t+(-1)18≤0

t²-3t-18≤0

t²-6t+3t-18≤0

t(x-6)+3(t-6)≤0

(t-6)(t+3)≤0

Find the zeros of the function:

t-6=0

t-6+6=0+6

t=6

t+3=0

t+3-3=0-3

t=-3

⇒  - ∞__+__-3__-__6__+__+∞

⇒ t∈[-3;6]

t≥0

⇒  t∈[0,6]

The numbers -28 = -28 are representing the reflexive property.

According to the Reflexive Property, x=x for every real number x. The meaning of the reflexive property is that the two expressions will have identical answers.

Suppose for square the two expressions for the length are 2x - 2 and ( 4x / 2 - 2 ). The two lengths of the square will have the same value.

2x - 2 = ( 4x / 2 - 2 ).

2x - 2 = 2x -  2

This is called reflexive property. Therefore, the numbers -28 = -28 are representing the reflexive property.

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