10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9

Answer:

17

Step-by-step explanation:

Given the limit of a function expressed as;

\(\lim_{x \to 3} x^2 + 3x - 1\)

Substitute x = 3 into the function to have;

\(= 3^2 + 3(3) - 1\\= 9 + 9 -1 \\= 18 - 1\\= 17\)

Hence the limit of the function as x tends to 3 is 17

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

  155 miles

Step-by-step explanation:

The sum of n terms of an arithmetic series is given by the formula ...

  Sn = (2·a1 +d(n -1))(n/2)

__

The number of miles Ryan ran in July is described by the arithmetic series ...

  0.5 +0.8 +1.1 +... (a total of 31 terms)

The first term is a1=0.5, and the common difference is d=0.3.

The total number of miles Ryan ran in July is ...

  S31 = (2(0.5) +0.3(31 -1))(31/2) = (1 +9)(31/2) = 155

Ryan ran 155 miles in July.

Scientific learning is the process of acquiring knowledge and understanding of scientific concepts, theories, and principles through observation, experimentation, and analysis of data.

Scientific learning​ involves using the scientific method, which is a systematic approach to investigating and understanding natural phenomena.

Scientific learning includes not only learning about the natural world but also learning how to think critically, analyze data, and make informed decisions based on evidence. It is a dynamic process that involves constantly questioning, investigating, and refining our understanding of the world around us

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Answer:

x = 105 degrees

reason: corresponding angles

Step-by-step explanation:

Answer:

x=150°

Step-by-step explanation:

since both lines are corresponding to each other then the angles will be the same.

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:     9 • 10⁵

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The missing sides of the two right triangles are B ≈ 75.5, b ≈ 10.7 and a ≈ 6.9.

In this problem we find two similar right triangles. Two triangles are similar when they have congruent angles and sides that are not congruent but proportional. Sides in right triangles are related each other by means of Pythagorean theorem:

r² = x² + y²

Where:

According to the statement, we need to use the following relationships:

B = √(C² - A²)

a / A = b / B = c / C

If we know that A = 49, C = 90 and c = 12.7, then the lengths of missing sides are:

B = √(90² - 49²)

B = √5699  (approx. 75.5)

b = B × (c / C)

b = √5699 × (12.7 / 90)

b = 127√5699 / 900 (approx. 10.7)

a = A × (c / C)

a = 49 × (12.7 / 90)

a = 6233 / 900 (approx. 6.9)

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Answer:

a. 14 + x

b. There are several ways to write this, 6y, 6(y)

Step-by-step explanation:

Look for key words when you do these types of questions!

For addition, add, sum, greater than, etc.

For multiplication, product, times, etc.

For subtraction, difference, less than, minus, etc.

And for division, look for quotient, divide, etc.

Hope this helps : )

In calculus and mathematics in general, when a symbol has a subscript and a superscript, it provides additional information or context about the symbol or variable being represented.

The subscript typically indicates the index or position of the variable. It is a smaller number or symbol written below and to the right of the main symbol. For example, in the expression "xn," the subscript "n" represents the index or position of the variable "x."

The superscript, on the other hand, often represents an exponent or power to which the variable is raised. It is a smaller number or symbol written above and to the right of the main symbol. For instance, in the expression "x2," the superscript "2" represents the exponent, indicating that "x" is raised to the power of 2.

In calculus, subscripts and superscripts are frequently used to denote different variables, indices, or operations in functions, sequences, series, and equations. They help provide clarity and convey specific meanings or relationships within mathematical expressions. It is essential to understand the conventions and notations used in specific contexts to interpret the subscripts and superscripts correctly.

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Answer:D

Step-by-step explanation:

the -1 means down one

x+5=0 subtract 5 so x= -5 means 5 to the left from the orgin (0 0) from point (-5,-1) you move up 4 and right 1 that's the 4 on the

Answer:

3

Step-by-step explanation:

Divide 1kg or 1000g by 350 and round up to the next integer. That's it.

Answer:

3 packages

Step-by-step explanation:

350+350=700

700+350=1100

1000 grams=1 kilograms

Answer:

-525 feet

Step-by-step explanation:

800 feet below is negative 800 feet ---> -800

-800 + 275 = -525

Answer:

The hikers each receive 2 1/3 cups of trail mix.

1. Multiply 8 by 3 1/4 to get how much cups of trail mix they have in total which  will come out as 28.

2. Then divide the 28 cups by the 12 hikers, and you will get 2 1/3 as your answer.

To calculate the double surface integral ∬s f(x, y, z) ds, we need to parameterize the surface s and then evaluate the integral.

The given surface is defined by the equation x^2 + y^2 = 9 and 0 ≤ z ≤ 1.

Let's parameterize the surface s using cylindrical coordinates:

x = r cosθ

y = r sinθ

z = z

The surface s can be described by the parameterization:

r(θ) = (3, θ, z)

Now, we can calculate the surface area element ds:

ds = |∂r/∂θ × ∂r/∂z| dθ dz

∂r/∂θ = (-3 sinθ, 3 cosθ, 0)

∂r/∂z = (0, 0, 1)

∂r/∂θ × ∂r/∂z = (3 cosθ, 3 sinθ, 0)

|∂r/∂θ × ∂r/∂z| = |(3 cosθ, 3 sinθ, 0)| = 3

Therefore, ds = 3 dθ dz.

Now, let's evaluate the double surface integral:

∬s f(x, y, z) ds = ∫∫s f(x, y, z) ds

∬s f(x, y, z) ds = ∫∫s e^(-z) ds

∬s f(x, y, z) ds = ∫∫s e^(-z) (3 dθ dz)

The limits of integration for θ are from 0 to 2π, and for z, it is from 0 to 1.

∬s f(x, y, z) ds = ∫₀¹ ∫₀²π e^(-z) (3 dθ dz)

∬s f(x, y, z) ds = 3 ∫₀¹ ∫₀²π e^(-z) dθ dz

Evaluating the integral with respect to θ:

∬s f(x, y, z) ds = 3 ∫₀¹ [e^(-z) θ]₀²π dz

∬s f(x, y, z) ds = 3 [e^(-z) θ]₀²π

= 3 (e^(-z) 2π - e^(-z) 0)

= 6π (e^(-z) - 1)

Substituting the limits of integration for z:

∬s f(x, y, z) ds = 6π (e^(-1) - 1)

Therefore, the value of ∬s f(x, y, z) ds is 6π (e^(-1) - 1).

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Answer:

See Attachment

Step-by-step explanation:

I graphed it below.

Answer:

4

Step-by-step explanation:

2% of 100 is 2 then you do 2x2 for 4

Answer:

$104

Step-by-step explanation:

Compound interest is an interest on an interest. By that I mean you have $8 and 50% interest. 50% of 8 is 4, so 8+4=12. Then add on another 50%, half of 12 is 6. So 12+6 is 18, and so on.

Andrea has $100. 2% interest not compunded.

2% of 100 is 2.

So, 100+2 is 102.

Since it's not compounded, we just add another $2.

100+2+2=$104

The total area of the figure = 134.75 in²

Area of the given triangle = bh/2

                                          = 11 × 6.5 / 2

                                          = 35.75 in²

Area of the given rectangle = lw

                                              = 9 × 11

                                              = 99 in²

Now by adding both areas we get the total area = 35.75 + 99

                                                                                 = 134.75 square inches

The area is the area enclosed by the shape of an object. The space covered by a figure or any two-dimensional geometric shape in the plane is the area of ​​the shape.

The area is defined as the total space occupied by a planar (2-D) surface or shape of an object. Take a pencil and draw a square on a piece of paper. A two-dimensional character. The space a shape occupies on paper is called its area. Now imagine that the square is made up of smaller unit squares.

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

111.51 is the probability of the random sample of 15 people that 4 of them are left-handed.

P(exactly x out of n) = (n! ÷ (x! × (n - x)!)) × \(p^{x}\) × \((1 - p)^{n - x}\).

where n = number of trials = 15.

p = probability of selecting one lefty in one trial = 10% or 0.1

x = probability which needs to be deduced = 4.

P(exactly 4 out of 10) = (10! ÷ (4! × (10 - 4)!)) × \(1^{4}\) × \((1 - 0.1)^{10 - 4}\).

P(exactly 4 out of 10) = (10! ÷ (4! × 6!)) × \(1^{4}\) × \((0.9)^{6}\).

P(exactly 4 out of 10) = 210 × \(1^{4}\) × \((0.9)^{6}\).

P(exactly 4 out of 10) = 210 × 1 ×0.531

P(exactly 4 out of 10) = 111.51

The probability that 4 of them are left-handed is 111.51.

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Answer:

D=3x+5, I=4x+8, -1x-3

Step-by-step explanation:

You don't know how many chocolates are in the boxes, so that's x. Always look at "and" and think + something. You know how many extra chocolates there are so you don't need to put the x. Remember, and=plus. Remember the equation is Mx+b.

The two expressions together is 3x+5=4x+8. Move the 4x to the other side with 3x+5 and make it negative. Same for eight. Hopefully that helps.

The cost per minute of running Alecia's air conditioner is $0.01.

The equation c = 0.01m represents a linear relationship between the cost, c, and the number of minutes, m, that Alecia runs her air conditioner. In this equation, 0.01 is the coefficient of m, which indicates the cost per minute.

To understand the cost per minute, let's consider an example. Suppose Alecia runs her air conditioner for 10 minutes. We can substitute this value into the equation to find the corresponding cost:

c = 0.01m

c = 0.01 * 10

c = 0.10

From this calculation, we see that running the air conditioner for 10 minutes would cost $0.10.

By examining different values of m, we can observe that for each additional minute the air conditioner is run, the cost increases by $0.01. This means that the cost per minute of running the air conditioner remains constant at $0.01.

In summary, according to the equation c = 0.01m, the cost per minute of running Alecia's air conditioner is $0.01. Regardless of the specific number of minutes, each minute of operation incurs a cost of $0.01.

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The equation of the line passing through (1, 1) and and with -1 as y-intercept is is 2x - y - 1 = 0..

The equation of line in general form is expressed as:

Ax + Bx + C = 0.

From the graph, the line passes through points (0,-1) and (1,1).

First we determine the slope of the line:

\(m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{1 - (-1) }{1 - 0} \\\\m = \frac{1 + 1 }{1 - 0} \\\\m = \frac{ 2 }{1 } \\\\m = 2\)

Next, we can choose either of the given points to substitute into the point-slope form.

Point (0, -1) and slope 2:

y - y₁ = m(x - x₁)

y - (-1) = 2(x - 0)

y + 1 = 2x

y = 2x - 1

Now, we express the equation in general form (Ax + By + C = 0), we move all terms to one side:

2x - y - 1 = 0

Therefore, the equation of the line in general form is 2x - y - 1 = 0.

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Answer:

176.58 m/s

Step-by-step explanation:

assume that the acceleration due to gravity, g = 9.81 m/s²

I also assume we neglect air resistance (hence we assume no terminal velocity)

recall that one of the equations of motions can be expressed as

v = u + at, where

u = initial velocity = 0 (because it says you started from rest)

v = final velocity (we are asked to find this)

a = acceleration due to gravity = 9.81 m/s²

t = time = given as 18s

simply substitute the above into the equation.

v = 0 + (9.81)(18)

v = 176.58 m/s

The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_1+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_1\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

In the given question, \(a_1\) = -13

d = -9 - (-13) = 4

Therefore, to calculate the 18th term,

\(a_{13}=a_1+(18-1)d\)

= -13 + (17) 4

= -13 + 68

= 55

Hence, the 18th term of the above AP is 55

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Answer:

15 cm

Step-by-step explanation:

Since the square's side length is 8 cm, and one of its sides is the short leg of the triangle, the short leg of the triangle is 8 cm

Using the pythagorean theorem, solve for b (the missing side length x)

a² + b² = c²

8² + b² = 17²

64 + b² = 289

b² = 225

b = 15

So, the missing side length is 15 cm

Answer:

the product of a and c is negitive

Step-by-step explanation:

Answer:

The second one is true

The third one is true

The fourth one is false

The fifth one is true

The sixth one is false

Answer:

Not giving you answers, but I'll try to help you find a slope

Step-by-step explanation:

So take the first question.

A slope equals rise/run. The first point is 2,1 and the second is 0,-3.

For rise, take the second numbers you see for each written point (so 1 and -3). Subtract them. For run, take the first 2 numbers (2 and 0)

1--3 is 4

2-0 is 2

So the slope is 4/2 (write it like you would a fraction, 4 over 2). If I messed up, sorry. I don't know much about this yet either.