I need answer ASAP the question is in the picture

The constant term for the expression 5g³ + 2 is 2.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given the expression,

5g³ + 2,

a linear equation consists of three terms,

variables, coefficient of variables, and constant.

A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

Compared with the given expression,

g is the variable and 5 is the coefficient,

2 is the constant term.

Hence 2 is constant.

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Answer:

At the beginning of the 11th day, the mass of the radioactive sample was 201.87 grams.

Step-by-step explanation:

Let's call the mass of the substance after n days "m". We can calculate the mass for each day using the formula:

m = 1300 * (1 - 0.14)^n

Plugging in n = 11:

m = 1300 * (1 - 0.14)^11

m = 1300 * 0.15572634

m = 201.87 grams

So at the beginning of the 11th day, the mass of the radioactive sample was 201.87 grams.

The speed of the air or water increases and its pressure decreases as it circles the longer-path side of the sail or keel. The air or water will attempt to migrate from the side of high pressure to the side of low pressure as it moves along the sail or keel in response to the consequent pressure difference.

Theoretical displacement hull speed is determined by the following equation: velocity in knots = 1.35 x waterline length in feet squared.

Use x to symbolise the slower boat's speed.

Therefore, the faster boat's speed would be x + 20 mph.

They met for 8 hours, hence the distance they travelled overall during that period is depicted as

Distance: (x + 20) * 8 + x * 8

Thus, we have

Distance: 16x plus 160

At twilight, the two boats were separated by 400 kilometres.

The distance equation is as follows.

400 = 16x + 160

Analyze similar terms

16x = 240

multiply by 16

x = 15

Remember that

20 mph faster boat equals x.

Thus, we have

Speedier boat = 15 plus 20

Speedier boat = 35

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If the difference of two numbers is 52 and larger number is six times the smaller number , then the smaller number is 11 , larger number is 63 .

Let  the smaller number be denoted by  "x".

according to the information that, "larger number is three less than six times the smaller number" ;

So,  the larger number can be represented as 6x - 3.

The difference between the two numbers is 52,

that means ; (6x - 3) - x = 52

On Solving for x ;

we get ;

⇒ 5x = 55

⇒ x = 11

Therefore , the smaller number is 11, and the larger number is 6×11-3 = 63.

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The 95% confidence interval for the amount of time spent on personal issues is (4.805, 4.95).

Mean time that employees spend on personal issues each week(M) = 4.9 hours

Standard deviation = 0.35 hours

The following formula is used to get the confidence interval for the sample mean and standard deviation given:

μ = M ± t(sM)

where; M = sample mean

t = T-statistic based on confidence interval

Degree of freedom = n - 1

From the question, n = 55

Degree of freedom = 55 - 1

Degree of freedom = 54

(Standard errors)sM = √(s^2/n)

Now putting the value

sM = √(0.352/55)

sM = 0.05

t = 2.005 This is determined using the Excel formula =T.INV.2T at a confidence level of 0.95 and a degree of freedom of 55-1=54. (0.05,54)

Now the confidence interval

μ = M ± t(sM)

μ = 4.9 ± 2.005 × 0.05

μ = 4.9 ± 0.095

μ = (4.9 - 0.095, 4.9 + 0.095)

μ = (4.805, 4.95)

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Answer: I think the answer is A

Step-by-step explanation: It goes from 128 to 150.

Answer:

2½ years

Step-by-step explanation:

I =PxRxT

$625=$5000 x 5/100 x T

$ 625= $250 T

625/250=T

T = 2.5

The value of the fractions will be:

1. 4/10 + 2/10 = 6/10

2. 9 /12 + 3/12 = 1

3. 6/10 + 4/10 = 1

4. 2/8 + 3/8 = 5/8

5. 2/7 + 6/7 = 1 1/7

6. 11/9 + 8/9 = 2 1/9

7. 5/13 + 10/13 = 1 2/13

8. 3/5 + 7/10 = 1 3/10

9. 7/8 + 13/16 = 1 11/16

10. 9/30 + 3/5 = 9/10

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

It should be noted that in order to add the numbers it's essential to have a common denominator. For example, 7/8 + 13/16 will be:

= 7/8 + 13/16

= 14/16 + 13/16

= 27/16

= 1 11/16

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Answer:

3

Step-by-step explanation:

A = 3 × (1ft)²

A = 3 × 1 ft²

A = 3ft²

(n-1) x (n-2)! ways of seating arrangements are possible if Fred (a boy) and Carrie (a girl) must be seated next to each other.

A permutation is the act of putting things or numbers in a certain order. Combinations are a method of picking things or numbers from a set of objects or collections without regard for their order.

Let's say there are n seats in total.

Then, there are (n-1) gaps between the seats that Fred and Carrie can be placed in.

If we place Fred and Carrie in one of these gaps, there will be (n-2)! possible arrangements for the rest of the seats.

Therefore, there will be (n-1) x (n-2)! total possible seating arrangements for Fred and Carrie if they must be seated next to each other.

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The value of f in the pentagon is 72 degrees.

A pentagon is a polygon with 5 sides. A regular pentagon is a polygon with 5 sides equal to each other. Therefore, In the regular pentagon, all of the exterior angles marked f are the same size.

Let's find the value of f as follows:

Therefore, the sum of exterior angles of a pentagon is 360 degrees.

Hence,

5f = 360 degrees

divide both sides of the equation by 5

5f / 5 = 360 / 5

f = 72 degrees

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Answer: a/2

I believe for this problem all they’re asking is how you would write the expression.

The answer is A) 10,000,000 seven-digit numbers; B) The number is  20,000 ; C)  5,314,410 identification numbers are possible if no two adjacent digits are the same.

Seven-digit identification number:

A.) The number of possible identifying numbers

Possible digits are 0 up to 9.

Total number of digits: 10

Any of the 10 digits may be used for each;

Hence,

10×10×10×10×10×10×10 equals 10,000,000 potential outcomes.

B.) For it to start begin with either 023 and 003.

- the first digit must be 0 (1 possible value)

- 2nd digit must be 2 or 0 (2 possible values)

- 3rd digit must be 3 (1 possible value)

- 4th and 5th can be filled with any digit (10 × 10 possible values)

Which gives

1×2×1×10×10×10×10 = 20,000

3.) no two adjacent digits are the same that is no two digits that follows each other are the same.

In this case only one digit have 10 possible values.

The other four digits have 9 possible values each.

Which gives:

10×9×9×9×9×9×9 = 10× [tex]9^{6}[/tex] = 5,314,410

The full question:

A certain identification number is a sequence of seven digits. (a) How many identification numbers are possible? (b) How many of them begin with either 023 or 003? (c) How many identification numbers are possible if no two adjacent digits are the same? (For example, 123-4-567 is permitted, but not 123-3-456.).

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The number is 60.

A multiple is defined as the the number resulting form the process of multiplication of two numbers.

For example, 6 is a multiple of 2 and 3 since 2 × 3 = 6.

Let x be the number.

x < 70

Multiples of 12 less than 70 = 12, 24, 36, 48, 60

Multiples of 15 less than 70 = 15, 30, 45, 60

Multiple common to 12 and 15 = 60

Hence the number here is 60.

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Jill should expect an additional 30 to 45 hours of homework each week.

As a general rule of thumb, students can expect to spend 2-3 hours of homework for each hour spent in class. This means that for a 15 credit hour course load, Jill can expect to spend an additional 30 to 45 hours on homework each week.

However, this is just a rough estimate and the actual amount of time required will depend on the difficulty of the courses, the teaching style of the instructors, and the individual study habits and ability of the student. Additionally, some courses may require more time spent on projects, reading, or other assignments that are not factored into this estimate.

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Answer:

third choice in image. √(16³)

the squareroot of 16 to the third power

Step-by-step explanation:

Fractional exponents tell you that you have roots. Could be squareroot or thirdroot, fourth root, fifth root...etc. You know which because you look at the bottom number (denominator) of the fraction. I use the phrase "down and out" to help remember that the bottom number in the fractional exponent is the "outside number" (index) on the radical sign.

The top number (numerator) of the fraction is an exponent. It can be either inside the radical right there on the shoulder of the 16 or it could also be outside the whole entire radical.

16^ (3/2) = √(16³)  = (√16)³  

A linear function is a mathematical function that defines a straight line when plotted on a coordinate plane.

It is defined by an equation of the form:

[tex]$y = mx + b$[/tex]

where [tex]$y$[/tex] is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept. The slope of the line is the rate at which the dependent variable changes with respect to the independent variable. In other words, it represents how much the dependent variable will change for each unit change in the independent variable.

In the case of the cost of renting a car for a day, the dependent variable is the cost (C) and the independent variable is the number of miles driven (x). The equation for the cost is:

[tex]$C = 42 + 0.65x$[/tex]

The slope of the line is 0.65, which means that for each additional mile driven, the cost of renting the car will increase by $0.65. The units of the slope are dollars per mile, since it represents the additional cost per mile driven.

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Answer:

C

Step-by-step explanation:

you can use the website desmos and literally type the exact equations in and it will show the graph.

The quantity of kilograms of paper that Madelyn's office would have recycled after 4 weeks would be = 28kg

The recycling activities of Madelyn's office in weeks is listed below:

The total quantity of paper recycled for 3 weeks = 21 kg

Then, after 4 weeks would be = xkg

To calculate the unit rate is to find out the quantity recycled per week;

That is,

3 weeks = 21 kg

1 week = X

Make X the subject of formula;

X = 21/3

X= 7 kg

Then if 7 kg = 1 week

X kg = 4weeks

X kg = 7×4/1

= 28 Kilograms

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The greatest positive integer n such that [tex]$2^n$[/tex]divides k is 18.

The product k can be expressed as [tex]$(b - a)_{1 \le a < b \le 20}$[/tex] . Since [tex]$2$[/tex] is the only even number between [tex]$1$[/tex] and [tex]$20$[/tex], the product can be written as [tex]$(2 - 1)_{1 \le a < b \le 20}$[/tex]. Since the product of [tex]$(b - a)$[/tex]  is the same for all pairs of integers a and b that satisfy [tex]$1 \le a < b \le 20$, $k$ is equal to $(2 - 1)^{19}$.[/tex]

To determine the greatest positive integer n such that [tex]$2^n$[/tex]divides k, we need to calculate the largest exponent m  such that [tex]$2^m$[/tex] is a factor of [tex]$(2-1)^{19}$[/tex]. To do this, we can factor [tex]$(2-1)^{19}$[/tex] using the equation [tex]$(2-1)^{19} = 2^{19} - 1$[/tex]. This equation can be written as [tex]$2^{19} = (2-1)^{19} + 1$[/tex], which can be rewritten as [tex]$2^n(2^{19-n}+1) = (2-1)^{19}$[/tex]  for any positive integer n. Since the factor [tex]$(2-1)^{19}$[/tex] is odd, the greatest positive integer n such that [tex]$2^n$[/tex] divides k is 18, since [tex]$2^{19}$[/tex] is the greatest power of 2 that divides [tex]$(2-1)^{19}$.[/tex]

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Answer: Infinitely many solutions

Answer:

Below

Step-by-step explanation:

15x + 3y = 27     divide through by 3 to get

5x + y = 9    <====== this is the same equation as the first one so they are the SAME line ....meaning INFINITE solutions

Answer: Y=1/4x-2. slope intercept form is y=mx+b

we have our b and our m and that’s all we need. so the equation would be y=1/4x-2

Step-by-step explanation:

The predicted number of barrels of crude oil for October is given as follows:

19.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

y = -0.02x² + 0.14x + 19.6.

October is the 10th month, hence the prediction is obtained as follows:

y = -0.02(10)² + 0.14(10) + 19.6

y = 19.

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Answer: X= 90

Step-by-step explanation:

There is a 90-degree symbol. So I think X= 90.

Thank you

Answer:y=2x-15

Step-by-step explanation:

First, we find the slope of the first line
Slope equation:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Plug-in values

[tex]\frac{6-2}{6-(-2)}[/tex]

=[tex]\frac{4}{8}[/tex]=[tex]\frac{1}{2}[/tex]

Slope=1/2

Remember that parallel lines have the same slope.

Now, we use the slope to get the y-intercept.

We start from (8,-1)

We go up 1 (rise) and right 2 (run), or the opposite of the slope (-1 rise, -2 run).

We get a y-intercept of -5.

Plug into y=mx+b

y=1/2x-5

Answer:

$2.60

Step-by-step explanation:

10% = 0.1

26 times 0.1 = $2.60

So, Chad pays $2.60 tax.

Answer:$28.60-26= 2.60

Step-by-step explanation:

$26 = 100%

sales tax = +10%

total price 26 x 110%