What Is the slope of the line on the graph?

It seems that she runs two more laps each day, so:

day 1- 3

day 2- 5

day 3- 7

day 4- 9

day 5- 11

day 6- 13

simple patterns baby

Final answer:

Roberta will jog 13 laps on the sixth day of her jogging routine, following the arithmetic sequence of adding 2 laps each day, starting with 3 laps on the first day.

Explanation:

The student is asking about a pattern in which Roberta jogs an increasing number of laps each day, with the sequence starting at 3 laps and increasing by 2 laps each subsequent day. To determine on which day Roberta will jog 13 laps, we can identify this as an arithmetic sequence with a common difference of 2. The first day is 3 laps, the second day is 5 laps, and this pattern continues. Following this sequence, the number of laps jogged by Roberta each day is:

Thus, Roberta will jog 13 laps on the sixth day, if the pattern continues.

Answer:

- 5 < x

Step-by-step explanation:

To solve, we need to isolate the variable: x

5x - 7 < 8x + 8

Subtract 5x from both sides

5x -  5x -7 < 8x -5x + 8

- 7 < 3x + 8

Subtract 8 from both sides

- 7 -8 < 3x + 8 -8

-15< 3x

Divide both sides by 3

- 15/3< 3x/3

- 5 < x

Answer:

-5 < x is correct, I double check her answer

Answer:

Equally likely

Step-by-step explanation:

Equally likely means that it’s a 50% percent chance on both sides meaning that equally likely Is the answer.

Answer:

likely

Step-by-step explanation:

 Expression for percent of survey participants who chose fishing =

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing =

Hope I helped! :)

Answer:

Expression for percent of survey participants who chose fishing =

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing =

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Step-by-step explanation:

Answer:

,

Step-by-step explanation:

Answer:

I dont really know how to multiply fractions but i do know the step.

Step-by-step explanation:

Since 23/4 units square's formula is L × B. and the H is 4/3 units.All you needed to do to find the recrangular prism was to multiply 23/4 and 4/3 to get it.Then simplify it.Sorry i dont really know whether this helps but its what i know:'D

Answer:

volume= 23/4 x 4/3

volume= 7 2/3 units3

Answer: 2/5

Step-by-step explanation: The total number of letters available to choose from is 10. You want to know the probability of 4 of those 10. So you divide 4/10. When you simplify that fraction it becomes 2/5.

The solution is 2/5

The probability of choosing a letter from Q to T is given by the equation

A = 2/5

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of choosing a letter from Q to T be represented as A

Now , the equation will be

Let the letters be represented as set 1 = { Q , R , S , T , U , V , W , X , Y , Z }

The total number of letters = 10 letters

The number of letters from Q to T = 4 letters

So , the probability of choosing a letter from Q to T is A = number of letters from Q to T / total number of letters

Substituting the values in the equation , we get

Probability of choosing a letter from Q to T is A = 4/10

On simplifying the equation , we get

Probability of choosing a letter from Q to T is A = 2/5

Therefore , the value of A is 2/5

Hence , the probability is 2/5

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Answer:

810 Feet Approximately.

Step-by-step explanation:

Answer:

(x-2)(x^2+2x+4)/x^3

Step-by-step explanation:

if you were doing for x let me know

Answer:

part A=    x=1

part B=   -13=-11 and -7=-7 and -2=-2

Step-by-step explanation:

part A

5+x-12=x-7

-7+x=x-7

x=1

part B

5+(-4)-12=-4-7

-1-12=-4-7

-13=-4-7

-13=-11

5+x-12=x-7

5+(-12)=-7

-7=-7

5+x-12=x-7

5+5-12=5-7

10-12=-2

-2=-2

Answer:

Step-by-step explanation:

last list

Answer:

it's the one at the bottom

Answer:

The price of chicken wings need to be $7 for the average price of the lunch meal deals to be that.

Step-by-step explanation:

Please kindly check the attached files for explanation

Answer:

B.) 7$

Step-by-step explanation:

Easier explanation

Answer:(3x+5) (3x-5)

Step-by-step explanation: a2-b2 =(a+b) (a-b)  where a= 3x and b=5

Answer:

its A

Step-by-step explanation:

Hence, the correct answer is (C)[tex]\frac{m^7.n^7}{mn^{-1}}[/tex]

a mathematical phrase that can contain ordinary numbers, variables, and operators.

Given the expression [tex]\frac{m^7.n^7}{mn^{-1}}[/tex]

on simplification, if can be found,

                                  =[tex]m^{7-1}.n^{3-(-1)}\\m^6.n^4[/tex]

which is the required answer.

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Answer:

Step-by-step explanation:

To translate 2 left, subtract 2 from every x-value.

To translate 6 up, add 6 to every y-value.

__

W' = W +(-2, 6) = (4-2, 8+6)

W' = (2, 14)

__

X' = X +(-2, 6) = (3-2, -2+6)

X' = (1, 4)

__

Y' = Y +(-2, 6) = (6-2, 5+6)

Y' = (4, 11)

Answer:

32%

Step-by-step explanation:

P(G/S) = P(G&S)/P(S)

= (0.32×0.5)/0.5

= 0.32

32%

The percentage of students who have opted for German classes among those who also chose Spanish classes is 32%. This is because 50% of the students chose Spanish, and of these, 32% also selected German classes.

The question revolves around the percentage of students at a high school who have opted for German classes among those who have opted for Spanish classes. To solve this, we consider that 50% of the students chose Spanish classes, and of those, 32% also chose German classes. This means that among the students who took Spanish, 32% is the percentage of students who elected to take German classes as well.

Answer:

k = 31

Step-by-step explanation:

k - 6.2 = 24.8

   +6.2    +6.2 (Add 6.2 to both sides to isolate the variable: k)

__________

k = 31

Answer:

31

Step-by-step explanation:

To find the value of k, you have to add 6.2 and 24.8 . To check your work, you subtract 31 by 6.2 and you'll get 24.8.

Answer:

aaaaaaaaaaaaaaaaa

Step-by-step explanation:

i dont if i made it clear but the answer is A

Answer:

a) replacing it

if you dont replace the marble there will be 1 less marble than before it will effect the possiblity

The height of the tree is 14.5 ft.

Step-by-step explanation:

Let the height of the tree be 't'

The angle between the ground and the rope = 25°

Length of the rope = 34.5 ft.

To find :

The height of the tree.

We can use the sine to calculate the height of the tree.

sin 25° = t/34.5

sin 25° = 0.42

sin 25° = t/34.5

0.42 = t/34.5

t = 0.42 x 34.5

t = 14.5 ft.

The height of the tree is 14.5 ft.

Answer:

12y + 5x = 169

Step-by-step explanation:

Differentiate wrt x

2x + 2y(dy/dx) = 0

dy/dx = -x/y

At (5,12)

m = -5/12

y = (-5/12)x + c

12 = -25/12 + c

c = 169/12

y = (-5/12)x + 169/12

12y + 5x = 169

Answer:

y = [tex]\frac{-5}{12}[/tex] x +17

Step-by-step explanation:

We'll have to use calculus and differentiating to solve this.

Differentiate the given equation with respect to x:

x^2 + y^2 = 169

2x + 2y * (dy/dx) = 0

Solve for dy/dx:

dy/dx = -x/y

Now, what this derivative means is actually the slope of the tangent line at the point (x, y).

Substituting 5 in for x and 12 in for y, we get:

dy/dx = -5/12

So, the slope is -5/12

Now, we have a slope (m = -5/12) and a point (5,12), so we can write an equation in point-slope form, which is: [tex]y-y_1=m(x-x_1)[/tex], where (x_1, y_1) is the point and m is the slope. So, we have:

y - 12 = [tex]\frac{-5}{12}[/tex] (x - 12)

We can then solve for y (if you want): y = [tex]\frac{-5}{12}[/tex] x +17.

Hope this helps!

Answer:

A = (x + 25)(x + 15) - 30

Step-by-step explanation:

This question is not complete without a figure; find the figure attached.

Marissa is painting a regular patio with dimensions as

Length = (x + 25) units

Width = (x + 15) units

Area of this rectangular patio = Length × Width

Area = (x + 25)(x + 15) unit²

She has to paint the patio except the bench that does not need to be painted.

Dimensions of the rectangular bench,

Length = 10 units

Width = 3 units

Area of the bench = 10×3 = 30 units²

Area of the patio to be painted = Area of patio - Area of bench

                                                A = (x + 25)(x + 15) - 30

Answer:

10-10+10=10 degrees

Answer:

c.

Step-by-step explanation:

2x² - 4x - 3 = 0

[tex]x= \frac{-b+/-\sqrt{b^{2}-4ac} }{2a} \\\\x= \frac{-(-4)+/-\sqrt{(-4)^{2}-4*2*(-3)} }{2*2} \\\\x= \frac{4+/-\sqrt{16+24} }{4} \\\\x= \frac{4+/-\sqrt{40} }{4} = \frac{4+/-2\sqrt{10} }{4}=\frac{2+/-\sqrt{10} }{2}[/tex]

Answer:

12.7

Step-by-step explanation:

its right

It will take approximately 9.9 minutes until there are 2 grams of the element remaining.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the exponential decay formula to solve the problem.

The formula for exponential decay is:

[tex]A = A_0e^{-kt}[/tex]

where:

A₀ = initial amount

A = amount remaining after time t

k = decay rate constant

t = time

We can find the decay rate constant k using the given percentage decay per minute.

If the element decays by 27.5% per minute, then the decay rate constant is:

k = ln(1 - 0.275) = -0.3185

where ln is the natural logarithm.

Let's substitute the given values into the formula and solve for t:

[tex]2 = 120 e^{-0.3185t}[/tex]

Divide both sides by 120:

[tex]0.0167 = e^{-0.3185t}[/tex]

Take the natural logarithm of both sides:

ln(0.0167) = -0.3185t

t = ln(0.0167) / (-0.3185)

t ≈ 9.9 minutes (to the nearest tenth of a minute)

Therefore,

It will take approximately 9.9 minutes until there are 2 grams of the element remaining.

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Answer:

See below.

Step-by-step explanation:

m < 1 = 180 - 125 = 55 degrees (adjacent angles),

m <  2 = 180 - 56 = 124 degrees (adjacent angles).

m < 3 = 124 - 55 = 69 degrees ( external angle of a triangle theorem).

Answer:

10 centimeters

Step-by-step explanation:

Kindly refer to the attached image for explanations

Answer:

800

Step-by-step explanation:

Answer:

24, not Perpendicular

Step-by-step explanation:

4×-6 + 9×7 + -3×5

-24 + 63 - 15

24

Perpendicular when inner product is 0