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write the slope intercept form of the equation of the line through the given point with the given slope
through (-1, -4) slope = 5

The total 18 numbers such  that n<150 exist, if the sum of the numbers of factors of N and N^2 is 34

Let me give you an example. 12. Both 2- 2 times and 3- 1 times are factors of 12.

Factors in total (2+1)*(1+1)=6

It will have 2- 4 times and 3-2 times for 122.

15 total factors of 5*3

Situation 1: N = xy

attempting a reverse strategy for N*N Factors in 35=5*7 are x-4 times and y-6 times.

Regarding N-x-2 and Y-3 timings.

There are a total of (2+1)*(3+1)=12 factors.

Situation 2

Since N2 has 34 factors if N2 is raised to the power of 34, there are 17 factors for N.

Consequently, 17+1 = 18 factors in total.

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Answer:

x = 12

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This means that 6x - 19 + 3x + 7 + 84 = 180

6x - 19 + 3x + 7 + 84 = 180

==> combine like terms

9x + 72 = 180

==> subtract 72 from both sides

9x = 108

==> divide both sides by 9

x = 12

Answer:

30%

Step-by-step explanation:

To calculate the percent of change, you find the amount of change and divide that my the original amount

[tex]\frac{3-2.1}{3}[/tex] = [tex]\frac{.9}{3}[/tex] = .3  As a percent, this would be 30%

Answer:

45/20

Step-by-step explanation:

Answer:

9/4 divided by 6/5 is 15/8

Step-by-step explanation:

9/4 ÷ 6/5 turns into 9/4 × 5/6 which is the reciprocal

9/4 × 5/6 = 45/24

Divide the numerator and denominator by 3 to get 15/8

15/8 is in its simplest form

The value of k for the expression, 3 (2− k) = −3k + 2, does not exist.

According to the question,

We have the following expression:

3 (2− k) = −3k + 2

Now, we will multiply 3 into the bracket:

6-3k = -3k+2

Now, moving -3k from the left hand side to the right hand side will result in the change of the sign from minus to plus:

6-3k+3k = 2

Now, 3k will get subtracted from 3k. So, we do not have any variable left for this equation.

Hence, the value of k  for the expression, 3 (2− k) = −3k + 2, does not exist.

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Answer: yes, because -2 is the opposite of the leading coefficient

Step-by-step explanation:

The time at which Liz will catch up with Mandy is 1 pm.

Here we have to find the time when Mandy and Liz meet.

Let t be the time taken by Liz to meet Mandy

Given:

Speed of Mandy = 30mile/hr

Speed of Liz = 36 miles/hr

Formula:

Speed = Distance/ time

Distance by Mandy = 30t

Distance by Liz = 36( t - 20/60)

As the distance covered by both is the same. So we have

30t = 36( t - 1/3)

6t = 12

t = 2

2 hours past 11 am is 1 pm.

Therefore Liz catch Mandy at 1 pm.

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If our circadian clocks are not reset each morning by exposure to light, they a. tend to run a cycle that is a little longer than 24 hours.

Chronobiology, the study of the body's circadian rhythms, contends that our daily routine, including when we eat, exercise, go to bed, and are exposed to light, may have a significant impact on how our bodies function on a day-to-day basis.

According to the National Institute of General Medical Sciences, circadian rhythms are the normal physical, mental, and behavioral changes that take place in the body on a 24-hour cycle, typically in reaction to light and darkness. One illustration is resting at night and remaining awake during the day.

You might not be able to avoid daytime sleep and evening work if you work an overnight shift or other irregular hours. According to Wright, those people should pay extra close attention to making other healthy decisions a priority, such as getting enough exercise and quitting smoking.

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Answer:

x = -2 ; x = 6/5

Step-by-step explanation:

5x + 2 >=0

5x >= -2

5/5 x >= -2/5

x >= -2/5

if x >= -2/5

5x +2 = 8

5x = 8 -2

5x = 6

5/5 x = 6/5

x = 6/5

if x < -2/5

-5x -2 = 8

-5x = 8+2

-5x = 10

-5/-5 x = 10/-5

x = -2

In 2267 year, this population would be 400000.

From the question, we have

population is growing as  Pn = 200*(1.03)n

substituting the value, we get

400000 = 200*(1.03)n

2000 = 1.03n

ln(2000) = n*ln(1.03)

n = ln(20000) / ln(1.03)

n = 257.15

2010 + 257.15 = 2267 year , this population would be 400000.

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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the quotient as a power. a^21/a is a^20.

What is Power?

In mathematics, power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.

What is quotient?

The number we obtain when we divide one number by another is the quotient.

What is exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

Given that,

a^21/a

quotient as power = a^21/a

                             =  a^(21-1)

                             = a^20

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Answer:

One number is 19 and the other is 6

Step-by-step explanation:

25 = x + (x- 13)

25 = x + x - 13

38 = 2x

19 = x

x = 19

25 - 19 = 6

The standard error for the sample was 0.13 when "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89."

The standard deviation of a statistic's sampling distribution, or an estimate of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean. By dividing the standard deviation by the square root of the sample size, the standard error is determined. By taking into account the sample-to-sample variability of the sample means, it provides the precision of a sample mean.

Here,

The standard error=standard deviation/√number of samples

=0.65/√25

=0.65/5

=0.13

When "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89," the standard error for the sample was 0.13.

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(i) Relative growth rate, k = 48 million people/ year

(ii) Population in 2020 is given by 5920 million people.

Given that in 1950, the population of world was 2560 million.

In 1960, the population of world was 3040 million people.

Also it is mentioned that,  world population grows in constant relative proportion.

So, the difference between time = 1960 – 1950 = 10 years

The growth in population = 3040 mil – 2560 mil = 480 million

So the relative growth rate of population is = 480/10 = 48 million/year

Now N be the new population, k be the relative population growth rate, all figures in millions. And t be the time in years passes since 1950.

Then the mathematical model is,

N = 2560 + kt

So for 2020, t = 2020-1950 = 70

k = 48

So, N = 2560+48*70 = 5920

So the population in 2020 is 5920 million people.

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Answer:

Step-by-step explanation:

b) The value of 12⁰ will be?

→ 12⁰ = ?

→ 12⁰ = 1

Hence, the solution is 1.

c) The value of (3)^(-2) will be?

→ (3)^(-2) = ?

→ (3)^(-2) = 0.1

Hence, the solution is 0.1.

Answer:

(a-5)(a+4)

Step-by-step explanation:

[tex]a^{2}[/tex]-a-20

[tex]a^{2}[/tex]+4a-5a-20

a(a+4) -5(a+4)

(a-5)(a+4)

Identifying the domain and range is important when defining a function because domain gives all the input values and range gives all the output values a function can take. It is very essential to know domain and range of a function.

Domain are represented by independent variable and are graphed on x coordinate of the axis.

Range are dependent values and are graphed on y axis of the graph.

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Answer:

44.24

Step-by-step explanation:

The 2 in the thousandths place is lower than 5 therefore it does not round the 4 to a 5

Answer:

44.24

Step-by-step explanation:

hopes this helps please mark brainliest

Answer:

thats correct

Step-by-step explanation:

Answer:

a) 2.0 x 10^5

b) 8.0 x 10^4

c) 9 x 10^9

d) 1 x 10^10

Answer: the square root of twenty-four would be plotted (A) between 4 and 5, but closer to 5 on a number line.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

The equation of the straight lines are:

For m = 6 and (x1, y1) = (2, 8)  => y = 6x - 4

For m = 7 and (x1, y1) = (2, 10) => y = 7x - 4

We know that the equation of a line with gradient m and y-intercept is:

y = mx + c.

We need to find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.

We know the point-slope form of equation of line,

(y - y1) = m(x - x1)

For m = 6 and (x1, y1) = (2, 8)

(y - 8) = 6(x - 2)

y - 8 = 6x - 12

y = 6x - 4

For m = 7 and (x1, y1) = (2, 10)

(y - 10) = 7(x - 2)

y - 10 = 7x - 14

y = 7x - 4

Therefore,  the equation of the straight lines are:

For m = 6 and (x1, y1) = (2, 8)  => y = 6x - 4

For m = 7 and (x1, y1) = (2, 10) => y = 7x - 4

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Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

y = 180 -71 = 109

x = 360 - (81+100+71)

x = 360 -252

x = 108

answer is B

x = 108 and y = 109

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The value of X is 108 and the value of y is 109. The algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division.

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

y = 180 -71 = 109

x = 360 - (81+100+71)

x = 360 -252

x = 108

Therefore the value of x and y is x = 108 and y = 109

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[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{70\% of 30}}{\left( \cfrac{70}{100} \right)30}\implies 21[/tex]

Answer: 21

Step-by-step explanation:

70% of 30 students is 21

Hope this helped :)

The probability that a compact car's randomly chosen mpg would be higher than 30 is 0.797.

Given data;

A certain compact car's mpg (miles per gallon) has a mean of 31 and a standard deviation of 1.2 and is regularly distributed.

We need to get the probability that the mpg for a randomly selected compact car would be more than 30.

Therefore;

Mean = μ = 31

Standard deviation = σ = 1.2

Let;

P(X > 30) = P(X - 31/1.2 > 30 - 31/1.2)

               = P(Z > -0.833)

               = 0.797

Hence, the probability that the mpg for a randomly selected compact car would be more than 30 is 0.797.

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