The population of North Carolina was approximately 9.5 million in 2010. The population has increased by about 1.3% per year. If the population continues to grow at this rate, in what year will North Carolina’s population reach 12 million?

Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.

The process of expressing a specific element in mathematics in the most typical way is known as standard form. Every element of mathematics, including big and small numbers, equations and lines, is designated in a standard form.

A standard form is a way of expressing a certain mathematical idea, such as an equation, number, or expression, in a way that adheres to a set of rules. The standard form is used to clearly represent extremely large or extremely small numbers.

To write an equation in standard form passing through the (-1,-1) and parallel to y = - x - 5, we need to find y-intercept form first

We know that parallel lines have same slope, so

y - y1 = m(x - x1)

y -(-1) = -1(x -(-1)

y + 1 = -x - 1

y = -x - 2

y + x = -2

Thus, Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.

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Answer:

B (2,-3) A (7,-8)

Step-by-step explanation:

they are just the same points but in the negative side of the x-axis

the angle 4pi/5 in quadrent 2

9514 1404 393

Answer:

  9π/5 terminates in Quadrant IV

Step-by-step explanation:

The attached shows the terminal ray (OP) of the angle with measure 9π/5 ≈ 5.65 radians. It lies in the 4th quadrant.

Answer:

A, D, C, B

Step-by-step explanation:

A = 3/4 + 5/4 = 8/4 = 4

B = 7/4 + 5/2

= LCM of 4 and 2 = 8

= 14/8 + 20/8 = 34/8 =17/4

C = 4/3 + 5/3 = 9/3 = 3

D = 11/3 - 4/3 = 7/3

A=4, B=17/4, C=3, D=7/3

LCM of  4 and 3 is = 12

= 16/12, 51/12, 36/12, 28/12

Sorry if I am wrong :)

Answer:

A=4, B=17/4, C=3, D=7/3

Step-by-step explanation:

Answer:

C=20

Step-by-step explanation:

1. 25÷5=5

2. 5×4=20

I hope this helped☺

Answer: 4 + n >= 17

Step-by-step explanation:

Answer:

660

Step-by-step explanation:

[tex]\dfrac{s}{4} +5=13[/tex]

Simplify:

[tex]\dfrac{1}{4} s+5=13[/tex]

Subtract 5 from both sides:

[tex]\dfrac{1}{4} s+5-5=13-5[/tex]

[tex]\dfrac{1}{4} s=8[/tex]

Multiply both sides by 4:

[tex]4\times(\dfrac{1}{4} s)=4\times(8)[/tex]

[tex]\fbox{s = 32}[/tex]

s = 32.

[tex]\frac{s}{4} +5=13[/tex]

[tex]\frac{s}{4} +5-5=13-5\\ \\\frac{s}{4} =8[/tex]

[tex]\frac{s}{4}*4 =8*4\\ \\s=32[/tex]

If the result is correct, then the equation should return the same value of both sides of the equal symbol (=) when we substitute the variable "s" by it's calculated value, 32.

[tex]\frac{(32)}{4} +5=13\\ \\8+5=13\\ \\13=13[/tex]

As you can tell, the same number appears on both sides of the equal symbol, this means that the result is correct!

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When Malia joined a gym 14 weeks after Jane did, the value of b was 5.

Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them.

A car's fuel capacity and efficiency, as well as how far it can go on a single charge of its electric battery, are important considerations. A nonproportional connection can be used to describe this.

a + b = 14

9 + b = 14

b = 14-9 = 5

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Answer:

1.010101e+42

Step-by-step explanation:

Answer:

1010101010101010010101001010100101100101050

Step-by-step explanation:

1010101010101010010101001010100101100101010+40=1010101010101010010101001010100101100101050

Answer:

B, you are correct

Area of the bigger trapezoid = (6 + 2) x 1/2 x 6 = 8 x 1/2 x 6 = 4 x 6 = 24

Area of the smaller trapezoid = (4 + 2) x 1/2 x 3 = 6 x 1/2 x 3 = 3 x 3 = 9

Hope that helps! :)

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

(3,-1)

Step-by-step explanation: because all you have to do is reflect it over the x-axis

After evaluating the given expressions the results could be 245 / 89 , 43/6, 33/4 .

What is expression ?

expression can be defined as with the minimum of two variables or numbers and at least one math operation.

Given that ,

7/ 8  * 14  / (3/8 * 6 ) + 2  1/5

= (7/8 * 14 )/ ((18 / 8) + 11/5)

= (98/ 8 ) / (90 + 88) / 40

= (98/ 8 ) /  (178/ 40)

= (98 * 40) / (8* 78)

= 245/89

Hence the final value could be 245/53.

7/ 8  + (6*7/8 - 4 * 3/16 ) / (3/4 )

(7/8 + (21/4 - 3/4 ) )  / (3/4)

(7/8 + 18/4)  / (3/4)

(43/8) / (3/4)

43/6

Hence the final value could be 43/6.

3  1/7  * (3 1/3 * (2/3 + 1/6 ) - 5/18 ) / 2 (3/7)

11/7 * (10/6 - 5/18) / (17/7)

(11/7 )* (27/ 18) /( 17/7)

(11* 27/18 )/ (17)

33/34.

Hence the final value could be 33/34.

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Answer:

(-7,-63)

Step-by-step explanation:

Answer:

this is in the form of slope intercept. y = mx + b

m is the slope

and b is the y intercept

meaning that -2 is the y intercept

and 1/3 is the slope

(meaning on a graph you go up one, and over 3)

Step-by-step explanation:

Answer:

Median=

77.6

by-step explanation:

- Elaina <3

hope this help ;)

Using a straight line and either an open circle or a closed circle to indicate the end points, we can depict inequalities on a number line by displaying the range of integers.

By drawing a straight line and designating the end points with either an open circle or a closed circle, we can depict inequalities on a number line by illustrating the range of integers. An open circle indicates that it excludes the value. A closed circle indicates that it does contain the value.

Both equations and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,,, or.

With regard to the inequality expression

-3m + 5 > 14

5 from each side is subtracted.

-3m + 5 - 5 > 14 - 5

-3m > 9

Subtract -3 from both sides.

-3m/-3 < 9/-3

m < -3

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Answer:

0.02083333333

The length of x of a diagonal support is 13.8 feet.

The hypotenuse of a triangle is the length of the longest side of the triangle. So that it is always opposite to the measure of the largest angle of a triangle.

In the question given, divide the length of the footbridge into 2 parts.

So that,

Half of the footbridge = 25/ 2

                     = 12.5 ft

So that applying the appropriate trigonometric function to determine the value of x using any of the congruent triangles. We have;

Sin θ = opposite/ hypotenuse

Sin 65 = 12.5/ x

x = 12.5/ Sin 65

  = 12.5/ 0.90631

x = 13.792 feet

The length x of a diagonal support is 13.8 feet.

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Answer:

The difference between a flawed and non-flawed survey question is usually bias; you don't want the question to seem like it's leading the reader to any one answer, it should be worded neutrally. The best method to find non-biased samples is to select your samples randomly.

Answer:

3.8 ,6.16 , 9.24

Step-by-step explanation:

Answer:

0,2

Step-by-step explanation:

because because it crosses the x-axis line only one time

Answer:

[tex]38 \div5 \\ [/tex]

Answer:

Heads has 3 branches - Blue, Yellow, Red

Tails has 3 branches - Blue, Yellow, Red

Step-by-step explanation:

Sample Space:

H/B

H/Y

H/R

T/B

T/Y

T/R

H/B

H/Y

H/R

6 possible outcomes

7/100% can be written as a fraction as 7/100, and as a decimal as 0.07.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{7}{100}\%}[/tex]

[tex]\mathsf{= \dfrac{7}{100} \div 100}[/tex]

[tex]\mathsf{= \dfrac{7}{100}\times \dfrac{1}{100}}[/tex]

[tex]\mathsf{= \dfrac{7(1)}{100(100)}}[/tex]

[tex]\mathsf{= \dfrac{7}{1,000}}[/tex]

[tex]\mathsf{= 0.0007}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{7}{1,000} \ \& \ 0.0007}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

We have mapped the correct equivalent expressions.

3/16 ⇒ 0.1875

0.85 ⇒ 17/20.

3/8 ⇒ 0.375.

0.425 ⇒ 17/40.

What is the equivalent expression?

An equivalent expression is a mathematical expression that has the same value as another expression but is written differently. Equivalent expressions can be obtained by using the properties of arithmetic such as the commutative, associative, and distributive laws.

3/16 can be described as 0.1875

0.85 can be described as 17/20.

3/8 can be described as 0.375.

0.425 can be described as 17/40.

Hence, we have mapped the correct equivalent expressions.

3/16 ⇒ 0.1875

0.85 ⇒ 17/20.

3/8 ⇒ 0.375.

0.425 ⇒ 17/40.

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Answer:

a shape that is not a trapezoid is a a square or a triangle

Step-by-step explanation: