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Answer:

y = -6x + 70

Step-by-step explanation:

Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.

Answer:

Step-by-step explanation:

A

No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.

B

Factor each number into it's primes.

24 = 2*2*2*3

32 = 2*2*2*2*2

The highest common factor is 2*2*2 = 8

C

9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.

6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2

Answer:

-8

Step-by-step explanation:

In order to find the answer to this question you need to use the slope formula, substitute, subtract, and simplify if needed.

[tex](9,5),(4,1) = (x^1,y^1), (x^2,y^2)[/tex]

[tex]m = \frac{y^2-y^1}{x^2-x^1} = \frac{9-1}{4-5}[/tex]

[tex]9-1=8[/tex]

[tex]4-5=-1[/tex]

[tex]= -8[/tex]

Hope this helps.

Answer: 1 group 65 bananas

Step-by-step explanation: We want the same number of bananas as oranges so 65 is divisible by 5 which is 13 5s to make 65.

Answer:

103

Step-by-step explanation:

detailed explanation is in the diagram above

Answer:

32

Step-by-step explanation:

hope this helps :)

Answer:

9/10

Step-by-step explanation:

Convert: 3/5 * 6/5=18/25

Simplify and Round it towards 9/10

Answer:

1.19 if its not that its 0.19 but i believe its 1.19.

Step-by-step explanation:

Answer:  1.19 Is 1 19/100 as a decimal

Step-by-step explanation:

Step-by-step explanation:

For #1, if it says + you add the number of hours. Ex: Time in UTC 0 is 12:00, time in +3 is then 15:00 (3pm).

The same vice versa. Ex: Time in UTC 0 is 16:00 (4pm), in -2 it will be 14:00 (2pm).

For #2, +4 will be Friday at 22:00 (10pm) and for +7 it will be Saturday 1:00 (1am) etc.

Same for the - but it goes backwards

Hope that helps

Answer:

U should

No u must keep swearing on them lolllll

Step-by-step explanation:

Omg seems kokuladina freeze on fire with swear words.

Answer:

= 40√6

Step-by-step explanation:

least common multipler of 8,2:8

Answer:

cos(x) = ???

so the maximum cosine can be is 1 and that happens when x = 0

I'm pretty sure that's what you meant...

The value of x where the cosine function attains a maximum value is 0.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Cosine function.

The value of cos 90° is 0.

The value of cos 0° is 1.

The value of cos 30° is √3/2.

The value of cos 60° is 1/2.

We see that the cosine function has the maximum value at zero degrees.

Thus,

Cos x has the maximum value at x = 0.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

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Answer: x<3 or x>4

Step-by-step explanation: 2|x-7/2|+3+-3>4+-3         2|x-7/2|/2>1/2                                                                x+|−7/2|+7/2>1/2+7/2                                                 x>4                                                                             or                                                                              x+|−7/2|+7/2<−1/2+7/2                                                 x<3

Answer: 644.4 sq cm

Step-by-step explanation:

First transform the 8.5 and 11.75 into centimeters as that is what you are trying to find do this by multiplying each sum by 2.54

A.)8.5*2.54=21.59 centimeters

B.)11.75*2.54=29.845

C.)Now to find the Area we multiply the two

21.59*29.845=644.35355

Which we an round do 644.4

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

27 = 3 x 3 x 3 = 3³

log3 27

= log3 3³

= 3 log3 3

= 3 x 1

= 3

Note : -

Formulas : -

Logn n = 1

Logn n^n = n Logn n

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

Reasons:

The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]

Where;

[tex]\hat y[/tex] = Final exam score;

[tex]\hat x[/tex] = The midterm score;

AJ score in the first test, [tex]\hat x[/tex] = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

Learn more about regression line equation here:

https://brainly.com/question/9339658

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Answer:

Step-by-step explanation:

Answer:

I think the 3rd one

Step-by-step explanation:

Hope its right

Answer: $301.51 [recheck the answer]

Step-by-step explanation:

y = a(1+r/n)^nt

y = 200(1+0.069/4)^4*6

y = 301.505

Answer:

I would use distributive property

Step-by-step explanation:

Answer:

45 bumblebee, 30 star.

Step-by-step explanation:

2:3 = 5

75/5 = 15

15 X 2= 30

15 X 3= 45

Answer:

Step-by-step explanation:

we see that y = -3x-3

substitute that into the other equation to get

-3x-3 = 2x+7

-5x = 10

x = -2

so, y = -3(-2)-3 = 3

check to make sure (-2,3) solves both equations.

Answer:

Here is a screenshot of my graph.

Step-by-step explanation:

Answer:

1) x = 3, y = 2 or (3, 2)

2) x = 0, y = 2 or (0, 2)

6) x = 3, y = – 4 or (3, – 4)

Step-by-step explanation:

I will only provide solutions for questions 1, 3, and 6 in accordance with Brainly's guidelines.

[tex]\displaystyle\mathsf{\left \{ {{\:\:Equation\:1:\:y\:=\:-2x\:+\:5} \atop{Equation\:2:\:y\:=\:-x\:+\:2}} \right. }[/tex]  

Substitute the value of y in equation 2 into the first equation:

y = -2x + 5

-x + 2 = -2x + 5

Add 2x on both sides:

-x + 2x + 2 = -2x + 2x + 5

x + 2 = 5

Subtract 2 from both sides to isolate x:

x + 2 - 2 = 5 - 2

x = 3

Substitute the value of x into Equation 2 to solve for the value of y:

y = -x + 5

y = -(3) + 5

y = 2

Therefore, the solution to the given systems of linear equations is: x = 3, y = 2 or (3, 2).

[tex]\displaystyle\mathsf{\left \{ {{Equation\:1:\:3x\:+\:5y=\:10} \atop{Equation\:2:\:y\:=\:-5x\:+\:2}} \right. }[/tex]

Substitute the value of y from Equation 2 into Equation 1:

3x + 5y = 10

3x + 5(-5x + 2) = 10

Distribute 5 into the parenthesis:

3x + -25x + 10 = 10

Combine like terms:

-22x + 10 = 10

Subtract 10 from both sides:

-22x + 10 - 10 = 10 - 10

-22x = 0  

Divide both sides by -22 to solve for x:

[tex]\displaystyle\mathsf{\frac{-22x}{-22}\:=\:\frac{0}{-22}}[/tex]

x = 0

Substiute the value of x into Equation 2 to solve for y:

y = -5x + 2

y = -5(0) + 2

y = 2

Therefore, the solution to the given systems of linear equations is: x = 0, y = 2 or (0, 2).

[tex]\displaystyle\mathsf{\left \{\quad\:Equation\:1:\:-2x+6y=\:-30} \atop{Equation\:2:\:y-2x=\:-10}} \right.}[/tex]

Add 2x to both sides of Equation 2 to isolate y:

y – 2x = –10

y – 2x + 2x = 2x – 10

y = 2x – 10

Substitute the value of y from the previous step into Equation 1:

– 2x + 6y =  – 30

– 2x + 6(2x – 10) =  – 30

Distribute 6 into the parenthesis:

– 2x + 12x  – 60 =  – 30

Combine like terms:

10x – 60 =  – 30

Add 60 to both sides:

10x – 60 + 60 =  – 30 + 60

10x = 30

[tex]\displaystyle\mathsf{\frac{10x}{10}\:=\:\frac{30}{10} }[/tex]

x = 3

Substitute the value of x into Equation 2 to solve for y:

y – 2x = –10

y – 2(3) = –10

y – 6 = –10

y – 6 + 6 = –10 + 6

y = – 4

Therefore, the solution to the given systems of linear equations is: x = 3, y = – 4 or (3, – 4).

[tex]\\ \sf\longmapsto f(x-1)=2x+3[/tex]

How?

[tex]\\ \sf\Rrightarrow f(-3)=f(-2-1)[/tex]

Let's find x then

[tex]\\ \sf\Rrightarrow x-1=-3[/tex]

[tex]\\ \sf\Rrightarrow x=-3+1[/tex]

[tex]\\ \sf\Rrightarrow x=-2[/tex]

[tex]\\ \sf\longmapsto f(-2-1)=2(-2)+3[/tex]

[tex]\\ \sf\longmapsto f(-3)=-4+3[/tex]

[tex]\\ \sf\longmapsto f(-3)=-1[/tex]

Answer:

3 you welcome

Step-by-step explanation:

Answer:

2,663 cm3

Step-by-step explanation:

Answer:

2,090,000

Step-by-step explanation:

Area = Area of Chile + Area of Bosnia

Area of Chile = 2*1000000

Area of Bosnia = 9*10000

Area = 2,000,000 + 90,000

Area = 2,090,000

Answer:

Step-by-step explanation:

there total

= 2*[tex]10^{6}[/tex] + 9*[tex]10^{4}[/tex]

= 2*1,000,000 + 9*10,000

= 2,000,000 + 90,000

= 2,090,000

= 209*[tex]10^{4}[/tex]

= 2,09*[tex]10^{6}[/tex]