(03.06 LC)
Choose the equation below that represents the line that passes through the point (-2,-1)
and has a slope of 5.

Answer:

18/20

Step-by-step explanation:There are 20 total cards and 2 are brown so answer would be 18/20.

The total number of outcomes is 12.

An outcome is a potential outcome of an experiment or trial in probability theory.

When a number cube is rolled there are 6 distinct outcomes {1,2,3,4,5,6} = 6

Again when a quarter is flipped then there are two possible outcomes {heads , tails } = 2

The total number of outcomes = 6 × 2 = 12

Hence there are 12 distinct outcomes.

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Sounds at 85 dBA can cause hearing loss if listened to for more than 8 hours. Sounds above 85 dBA can damage your hearing more quickly. For every 3-dB increase in noise levels above 85 dBA, the safe listening time is cut in half. You can, for example, listen to sounds at 85 dBA for up to 8 hours.

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The surface area of the regular pyramid is 151.9 m².

The surface area of the regular pyramid can be found as follows:

surface area of the pyramid = A + 1 / 2 ps

where,

Therefore,

A = 61.9 m²

p = 6 × 5 = 30 m

s = 6m

Hence,

surface area of the pyramid = 61.9 + 1 / 2 × 30 × 6

surface area of the pyramid = 61.9 + 180 / 2

surface area of the pyramid = 61.9 + 90

surface area of the pyramid = 151.9 m²

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There are 40 different combinations of colors and dashboard options available to this buyer.

Combination is a counting technique where the order of the selected items from a collection does not matter. The formula in finding the number of combinations when ‘r’ items are chosen out of a total of ‘n’ objects.

nCr = n! / [r! (n - r)!]

If there are 2 of 5 options for seat colors, then using the formula, the number of combinations for the seat color is:

5C2 = 5! / [2! (5 - 2)!]

5C2 = 120 / 12

5C2 = 10

If there are 3 of 4 options for dashboard accessories, then using the formula, the number of combinations for the dashboard accessories is:

4C3 = 4! / [3! (4 - 3)!]

4C3 = 24 / 6

4C3 = 4

Multiplying the two results will give the total number of different combinations of colors and dashboard options available.

combination =  10 x 4

combination = 40

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He will read 210 pages of the book and it will take Amir 6 days to catch up with Jesse

Day Jesse started reading: Saturday

Number of pages read by Jesse each day: 30 pages

Day Amir started reading: Sunday

Number of pages read by Amir each day: 35 pages

Let x represent the number of days Amir has been reading and y represent the number of pages he has read

Formulating the equation for Amir we get:

y = 35*x

y = 35x

The equation for Jesse will be:

y = 30*(x+1)

y = 30(x+1)

Equating both equations we get:

35x = 30(x+1)

35x = 30x +30

5x = 30

x=6

So, the number of pages read will be 210 and it will take 6 days for Amir to catch up with Jesse

Although a part of your question is missing, you might refer to this full question: Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day. How many days will it take Amir to catch up to Jesse, and how many pages will they each have read? Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read

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476 x 0.001 = 0.476

0.476 x 10¹ = 4.76

4.76 x 10³ = 4,760

47.6 x 0.1 = 4.76

We have to find the following products of the equations.

The basic rule for multiplication between numbers with decimal points can be described through some examples first.

Decimal point is shifted leftwards up to the power of 10 which is divided with it. Also decimal point is shifted rightwards when multiplied with powers of 10.

Now we will find the product for each equation:

For 476 × 0.001, 0.001 = 1/1000

Therefore, 476 × 0.001 = 476 × 1/1000 = 0.476 [decimal point shifted left]

For 0.476 × 10¹ = 0.476 × 10 = 4.76 [decimal point shifted right]

For 4.76 × 10³ = 4.76 x 1000 = 4760 [decimal point shifted right]

For 47.6 x 0.1 = 47.6 x 1/10 = 4.76 [decimal point shifted left]

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The slope of this straight line is equal to: A. 2

A slope is also referred to as gradient and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

By critically observing the given graph, we can logically deduce the following points:

Note: Each interval on this graph represents 1 unit.

Substituting the given points into the formula, we have;

Slope = Δy/Δx

Slope = (-3 - 1)/(-1 - 1)

Slope = -4/-2

Slope = 2

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The expression [tex]\sqrt{n}[/tex]  which is the third option represents the side length, in feet, of the bulletin board.

It is given in the question that the area of the bulletin board is n square feet.

We have to find the expression that represents the side length, in feet, of the bulletin board.

Let the side, in feet of the bulletin board be x.

We know that,

Area of a square =[tex]side^2[/tex]

We have, side = x

Hence we can write,

Area of a square = [tex]x^2[/tex] square feet

Hence,

[tex]x^2=n[/tex]

Square rooting on both sides, we get

[tex]\sqrt{x^2}=\sqrt{n}\\\\x=\sqrt{n}[/tex]

Hence the expression [tex]\sqrt{n}[/tex] which is the third option represents the side of the square bulletin.

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Answer:

Surface area: 432 Area: 576

Step-by-step explanation:

Surface area fomula: 2lh+2wl+2wh

Area formula:lh

Answer:

y = 5/3x -7/3

Step-by-step explanation:

y = mx + c

sub in values:

1 = 5/3(2) + c

1=10/3 + c

-7/3 = c

equation of line:

y = 5/3x -7/3

Step-by-step explanation:

if I understand correctly, one side of the square is 2m⁴n.

so, the area of the square is

side² = (2m⁴n)² = 4m⁸n²

because

(2m⁴n)² = 2m⁴n × 2m⁴n

and that is 4m⁸n²

In functions, value of x = 45 and y = 45

What is function in math?

6)  x = 15

 y = 49

3x = 3 * 15 = 45

y - 4 = 49 - 4 = 45

7)  3x + 23 = 4x

    4x - 3x = 23

     x = 23

    y =  4 * 23 =   92°

8) y + 12 = 5x °

  3x + 50  =

According to the question

     y + 12 = 3x  + 50

      5x   = 3x + 50

      2x = 50

        x = 25

y + 12 = 5x °

y = 5 * 25 - 12

y = 125 - 12 =   113

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The maximum value of the function is at (8, 7).

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The value of the expression : [(x – 2) ^2(x + 2)] ^2 will be (x³ - 4x² + 10x + 8)².

It should be noted that the information simony wants us to multiply the expressions that are given. In this case, they can be computed individually. This will be:

(x - 2)² = (x - 2)(x - 2)

= x² - 2x - 2x + 4.

= x² - 4x + 4

This will be:

(x² - 4x + 4)(x - 2)

= x³ - 2x - 4x² + 8x + 4x - 8

= x³ - 4x² + 10x + 8

We will then square the above value. This will be (x³ - 4x² + 10x + 8)².

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Answer: 2.7156

Step-by-step explanation:

Using Bidmas: we do the brackets first so 8.131 + 3.7024 = 11.8334

Then 14.549 - 11.8334 = 2.7156

Hope this helps :)

Answer:

Step-by-step explanation:

Based on the number of cookies in the bag of cookies, if María Fernanda is to reach in and select 2 chocolate chip cookies, the probability of that happening is 6.46%

The events that María Fernanda picks one chocolate chip cookie and then another, are both independent events.

To find the probability of independent events, the formula is:

= Independent event probability 1 x Independent probability 2

Find the total number of cookies:

= 7 chocolate chip cookies + 5 peanut butter cookies + 6 sugar cookies + 8 oatmeal cookies

= 26 cookies

The probability of two chocolate cookies being picked by María Fernanda is:

= Number of chocolate cookies / Number of total chips x Number of chocolate cookies left / Number of cookies left

= 7 / 26 x 6 / 25

= 42 / 650

= 21 / 325

= 6.46%

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The ratio of bears:beans: buttons in the simplest form is 7:3:2

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.

Weight of sweet bag = 120g

Cost of a sweet bag = 0.89 euros

Number of gummy bears = 14

Number of jelly beans = 6

Number of chocolate buttons = 4

The ratio of bears:beans:buttons = 14:6:4

Dividing the ratio by 2 throughout we get:

Ratio of bears:beans:buttons = 7:3:2

So, In its simplest form, the ratio of bears to beans to buttons is 7:3:2.

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Answer:

10

Step-by-step explanation:

I'm going to estimate [tex]\sqrt{30}[/tex]. Because root 25 is 5 and root 26 is 6, root 30 is around 5.5. 5.5 + 6.2 is around 10.

Don't say you are going to mark as brainliest if you don't have brainliest.

Answer:

4t + 1.

Step-by-step explanation:

Use the General form of the differential:

If y = ax^n,  

dy/dx = anx^(n-1)

So:-

y = 2t^2 + t + 1

dy.dt = 2*2t^(2-1) + t^(1-1) + 0

         = 4t + 1.

The correct answers are line and segment.

your answer is B

your welcome

Answer:

-9

Step-by-step explanation:

If you find the -6 point on the number line and move to the left three spaces, you stop at -9. You are taking away three spaces from an already negative number. So, you move to the left to show you subtracting something.

Hope this helps! :)

Answer:

-9

Step-by-step explanation:

Using absolute value (6+3) you can add -6 to -3.

Answer:

x=[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

5x(2-4)=2(5x-4)

1. First we expand the brackets

     10x-20x=10x-8

2. we can simplify the equation to

       -10x=10x-8

3. we want to find the value of x so we get all of the x on one side so we would -10x on both side

  -20x=-8

4. to find the value of x we divide each side by -20 this gives us

x=[tex]\frac{8}{20}[/tex]

(it's not a negative as the negative cancel each other out as negative divided by negative gives us positive)

5. However we can simplify the fraction by dividing the top and bottom by     4 (this is because the highest common factor for both number is 4) this gives

 x=[tex]\frac{2}{5}[/tex]

6. Therefore -4 is not a solution for the equation

Answer:

c=9

Step-by-step explanation:

[tex]11=c+2 \\ \\ c=9[/tex]

The main number of apples in each bag is eight therefore 12 bags contain 96 apples.

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every discipline of mathematics, including trigonometry, calculus, and coordinate geometry.

Given that :There are 12 bags of apples on a market store. The main number of apples in each bag is eight

Eight apples on average fit into each bag.

We need to figure out how many apples are in the 12 bag.

The total number of apples is 8×12 = 96.

Therefore, 12 bags contain 96 apples.

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Using simple interest, it is found that the amounts invested are given as follows:

Simple interest is used when there is a single compounding per time period, usually measured in years.

The amount of money after t years in is modeled by:

A(t) = P(1 + rt)

In which:

The interest accrued over t years is:

I(t) = Prt.

For this problem, we have that:

From the interest earned, we have that:

[tex]I_1 + I_2 = 677[/tex]

In which:

Replacing both these relations in the sum of interests, we have that:

0.072P + 0.07(9000 - P) = 677

0.002P = 677 - 0.07(9000)

P = (677 - 0.07(9000))/0.02

P = 2350.

Hence she invested $2,350 at a rate of 7.2% and $6,650 at a rate of 7%, as 9000 - 2350 = 6650.

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The actual cost of the food and entertainment be $2,400.

For the given question;

The amount spent by Juan's company = $2,350.

The amount spent of the food = $1,500.

The amount spent on entertainment = $900.

Thus, the actual amount will be;

Actual amount = food + entertainment

Actual amount = $1,500 +  $900

Actual amount = $2,400.

Thus, the actual cost of the food and entertainment be $2,400.

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Main Answer:

Height decreased in 1 second is 80 cm

Explanation:

The total amount of height decreased is 120.

Total amount of time taken is 1.5 s.

Height decreased in 1 second = [tex]\frac{120}{1.5}[/tex]

⇒ [tex]\frac{1200}{15}[/tex]

⇒ 80 cm

Therefore, height decreased in 1 second is 80 cm.