Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.)

Answer:

no

Step-by-step explanation:

Answer:

Yes, if you are referring to proportionality in general. No if you are referring to a direct proportionality.

Step-by-step explanation:

y = -2x is negatively proportional so it is not directly proportional because y or one quantity decreases when x or another quantity increases. In a directly proportional relationship, as one quantity increases another quantity must increase at the same rate, in other words both must increase thus be positive. When something is proportional it has a constant ratio, and relation.

Direct proportionality or variation is represented by y ∝ x, where ∝ is the symbol used to represent proportionality.

y = kx where k is the constant of proportionality.

Where k = y/x.

Answer:

25.52

Step-by-step explanation:

hope it helps!

......

Answer:

1st - £12/$12       2nd - £14/$14

Step-by-step explanation:

x:y - first and second friend as first spent less than second

x- (difference) 23 -y

x+23+y = 49

x+y = 26

x= £1 - £25      y=£25 - £1

12=x  y=14

14+23+12 = 49

Answer:

A

Step-by-step explanation:

(x-4)^2 = x^2 -4x -4x + (-4)*(-4)

= x^2-8x+16 as required

Answer:

The point of intersection of two equations

(x,y) = (4,4)

Step-by-step explanation:

Explanation:-

Given that the system of equations

       x + y=8 ..(i)

    x + 4y = 20 ..(ii)

Solving (i) and (ii) equations , we get

     x +  y   = 8

    x + 4y = 20

 -      -        -    

   0 -3y =  -12                    

         y = 4

Substitute    y = 4 in equation (i)

             x + y=8

             x +4 =8

               x = 8-4 = 4

The point of intersection of two equations

(x,y) = (4,4)

Answer:

C Step 3

Step-by-step explanation:

Answer:

C: Step 3 is where the mistake was made

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Answer: The Ferris wheel’s speed in feet per hour.

Step-by-step explanation:

Answer:

Jul 25, 2019 — Click here to get an answer to your question ✍️ 3. Simplify 32 • 35 ... 3. Simplify 32 • 35. (4 points) 37 310 97 910. 2. See answers. Log in to ...

2 answers

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

may i be marked as brainliest?

Answer:

Yes

Step-by-step explanation:

A triangle is right if its sides follow the Pythagorean triples.

We can simplify 25, 60, 65 by dividing by 5 for each number.

By doing this we get:

      5, 12, 13

If you memorized the Pythagorean triples, you can immediately know that 5, 12, 13 is one of them. Therefore, 25, 60, 65 is a right triangle.

Answer:

  ln(p^5/y^3)

Step-by-step explanation:

The given expression can have ln(y) terms combined, so it becomes ...

  = 5·ln(p) -3·ln(y)

  = ln(p^5/y^3)

__

The relevant log relation is ...

  ln(a^b) = b·ln(a)

When three college students are randomly selected, the probability that ALL three buy their textbooks online is 0.227

The probability that at least one purchases their textbooks online is 1.

As per the question the probability of students purchase their textbooks online 61%.

\(=\frac{61}{100}\)

p = 0.61.

So, failure = 1 - 0.61 = 0.39

q = 0.39

When 3 students are selected(n = 3)

We know that, \($$p(x)={ }^n c_x p^x q^{n-x}$$\)

So, probability that all of them to purchase

\($$\begin{aligned}&(x=3) \\& p(3)={ }^3 c_3(0.61)^3(0.39)^{3-3} \\& p(3)=0.22698\end{aligned}$$\)

When 5 students are selected (n = 5)

And probability that at least one purchases books online

\(=P(x=1)+P(x=2)+P(x=3)$ $+P(x=4)+P(x=5)$\)

Now we know that probability of all equal to 1.

\(P(0)+P(1)+P(2)+P(3)+P(4)+P(5)=1\)

So, we can simply write

\($$\begin{aligned}P & =1-p(x=0)+p(x=1) \\& =1-\left[{ }^5 C_0(0.61)(0.35)^{50}+{ }^5 C_1(0.61)^1(0.39)^{5-1}\right] \\& =1-0.00902-0.07056 \\P& =0.92042\end{aligned}$$\)

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The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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Answer:

most likely got 50 of each slice since they were the same size

Step-by-step explanation:

500/10=50

Answer:

50

Step-by-step explanation:

Answer:

I not see the number 2

I think that is number 2

Answer:

first and last one should be the answer (not sure about the first, cant see it too good)

The height of the building, using similar triangles, is given by:

36 feet.

Similar triangles are two triangles that share these two features, which are listed as follows:

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

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A dilation by a scale factor of 5 centered at the  origin simply multplies by 5 the coordinates of every point. So, the new coordinates are (-5, -25)

Answer:

3

Step-by-step explanation:

2 * pi * 3 = 6 * pi

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Given,

__________________

We can solve this question using the formula ⇨ circumference = 2 × π × radius of the circle.

__________________

So,

\(c = 2 \pi \: r\)

Substitute the value of c with 6π.

\(6 \pi = 2 \pi \: r\)

Divide 2π from both the sides.

\(6 \pi ÷ 2 \pi = r\)

Cancel out π & divide 6 by 2 to get 3.

\( \huge\boxed{ \boxed{ \bf \: 3= r}}\)

__________________

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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The area labeled B is four times the area labeled, Expression of  b in terms of a is \(b=ln(3e^a-2)\)

The equation of the curve is \(y = e^x\).

The shaded region A is the area under the curve between x = 0 and x = a, so its area is given by,

\(A = \int\limits^a_0 {e^x} \, dx = e^a-1\)

The area labeled B is four times the area labeled A, so its area is given by,

B = 4A = 4(\(e^a\) - 1)

To express b in terms of a, find the value of b that satisfies,

\(\int\limits^a_0 {e^x} \, dx = 3(e^a-1)\)

Using the formula for the integral of e^x, we get:

\(e^b - e^a =3(e^a-1)\)

Solving for b, we get:

\(b=ln(3e^a-2)\)

So the area labeled B is ,4(\(e^a\) - 1)  and the value of b that satisfies the given condition is \(b=ln(3e^a-2)\) .

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Answer:

D

Step-by-step explanation:

What effect does Mathilde's losing the necklace have on the plot in "The Necklace"? It creates doubt in the mind of Madame Forestier' as to Mathidle's honesty. It helps extinguish Mathilde's longing for a life of luxury and wealth. It leads Mathilde and her husband into a life of debt, hard work, and poverty.

From the equations expressed as fractions, having a single variable,

gives;

\(1. \hspace{0.15 cm}\dfrac{4}{9} = \mathbf{\dfrac{10}{x}}\)

By cross multiplying, to clear the fractions, in we have;

4 × x = 10 × 9 = 90

\(x = \dfrac{90}{4} = \mathbf{22.5}\)

x = 22.5

\(2. \hspace{0.15 cm}\dfrac{5}{2} = \mathbf{\dfrac{6}{x}}\)

5 × x = 6 × 2 = 12

\(x = \dfrac{12}{5} = \mathbf{2.4}\)

x = 2.4

\(3. \hspace{0.15 cm}\dfrac{5}{2} = \mathbf{\dfrac{2}{x}}\)

5 × x = 2 × 2 = 4

\(x = \dfrac{4}{5} = \mathbf{0.8}\)

x = 0.8

\(4. \hspace{0.15 cm}\dfrac{21}{27} = \mathbf{ \dfrac{x}{18}}\)

21 × 18 = 27 × x

\(x = \dfrac{21 \times 18}{27} = \mathbf{14}\)

x = 14

\(5. \hspace{0.15 cm}\dfrac{15}{21} = \mathbf{ \dfrac{20}{y}}\)

15 × y = 20 × 21

\(y = \dfrac{20 \times 21}{15} = \mathbf{28}\)

y = 28

\(6. \hspace{0.15 cm} \mathbf{\dfrac{26}{b}} = \dfrac{39}{9}\)

26 × 9 = 39 × b

\(b = \dfrac{26 \times 9}{39} = \mathbf{ 6}\)

b = 6

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Answer:

\(\displaystyle \int\limits^5_1 {x^4(1 + 2x^5)} \, dx = \frac{9768748}{5}\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Derivative Property [Addition/Subtraction]:                                                         \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)  

Basic Power Rule:

Integration

Integration Rule [Reverse Power Rule]:                                                               \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)

Integration Rule [Fundamental Theorem of Calculus 1]:                                     \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)

Integration Property [Multiplied Constant]:                                                         \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \int\limits^5_1 {x^4(1 + 2x^5)} \, dx\)

Step 2: Integrate Pt. 1

Identify variables for u-substitution.

Step 3: Integrate Pt. 2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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Answer: the answer is s = -19

Empirically we can see the σ ranges of a Gaussian distribution in the following figure

From exercise we know that:

We will calculate how many sigmas the given range is to know what the percentage of scores :

The score 131.3 is 2 sigmas from the mean

The score 168.9 is 2 sigmas from the mean