Identify a pair of same-side interior angles

If the family size sunscreen bottle holds 12 fl oz (fluid ounces) of sunscreen, while the regular bottle has 75% less, we will then convert the percentage into fluid ounces with the following calculation:

75/100×12=9

From the calculation above, we know the difference in the liquid content between both bottles; the regular size bottle of sunscreen has 9 fl oz (fluid ounces) less liquid content. So the liquid content of a regular sunscreen bottle is 3 fl oz (fluid ounces)

You asked an incomplete question, so I assume your complete question was:

"The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces does the regular bottle hold?"

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The simple interest will be $36 and the amount will be $236

Given, the principal = $200

Rate of interest = 6%

Time = 3 years

Now, on using the formula of Simple Interest,

SI = (P×R×T)/100

SI = (200×6×3)/100

SI = $36

Now, the amount will be

Amount = 200 + 36

Amount = $236

Hence, the simple interest will be $36 and the amount will be $236

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Answer: -31

Step-by-step explanation:

5x³- 3x + 2 = 0

a = 5, b = -3, c = 2

(-3)² -4 × 5 × 2

-31

The probability that less than 70 percent will favor a reduction of the deficit is 0.0228

What are the many types of probability?

Probability is the study of random events in mathematics, and it can be classified into four main categories: axiomatic, classical, empirical, and subjective. You could say that probability is the likelihood that a particular event will occur because probability and possibility are synonyms.

Let p be the sample proportion.
the population proportion , P = 0.8
Under central limit theorum
\(z=\frac{p - P}{\sqrt{\frac{P(1-P)}{n} } }\)

N(0,1)

Where n = sample space = 64
For sample space distribution of proportion,

P=μp = 0.8 and \(\frac{P(1-P)}{n}\) = σ p = \(\frac{0.8(1-0.8)}{64} = 0.05\)

So, the probability that less than 70 percent will favor a reduction of the deficit

= P(p<0.7)

=P(z<\(\frac{0.7-0.8}{0.05}\))

= P(z<-2)

= 1-P(z<2)

=1-0.9772    (from z table)

= 0.0228

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x1 = 4 x2 = -4

substitute the values into the given equations!!

(4 + (-4)) / 2 = (0 / 2) = 0

y1 = -5 y2 = 5

(-5 + 5) / 2 = (0 / 2) = 0

midpoint = (0, 0)

bold values - box answers :D

Answer:

This is a bit complicated, but the answer would be 2.28831354(v)x10(^)18, or otherwise known as 2283135409967847400.

Step-by-step explanation:

Answer:

D A N G uh,

Step-by-step explanation:

i dont think any person can physically do that

proof i tried ;-;

The missing values are:

BC = 25, BN = 16, NC = 9, and AN = 12

Given:

AB = 20

AC = 15

Using the Pythagorean theorem in triangle ABC:

CB = √AC² + AB²

CB= √20² + 15²

CB= √625

CB= 25

Since, AN is altitude we have ΔNBA~ΔABC and ΔNAC~ΔABC

BN / AN = BA / CB

BN/ 20= 20/25

BN = 16

and, AN / BA = AC / CB

AN /20 = 15/ 25

AN = 12

Now, CN=  CB - BN

CN = 25- 16

CN= 9

BC^2 = 20^2 + 15^2

BC^2 = 400 + 225

Since ΔANC is a right triangle so

AN = √15²-12²

AN = √81

AN = 9

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Answer

10

Step-by-step explanation:

Answer:

The function g(x) has a greater value when x = 3. The function g(x) will be 7 when x = 3 while the function f(x) is will be 5

Step-by-step explanation:

For the function f(x), when x = 3, you get the equation f(x) = 2(3) - 1. Two times three equals six, so the equation can be simplified to f(x) = 6 - 1. Six minus one equals five, so f(x) = 5 when x = 3.

For the function g(x), when x = 3, you get the equation g(x) = 4(3) - 5. Four times three equals 12, so the equation is now g(x) = 12 - 5. 12 minus five equals seven, so g(x) = 7 when x = 3.

Hope this helps :)

The value of the variable n in the equation 11% of n is 175.5 is approximately  equal to 1595.450.

Multiplication is also called as repeated addition and division is called as repeated subtraction. In mathematics, both multiplication and division are used in the ratio to simplify them into smaller values which makes calculation easy.

In the given equation, the numerical data are given along with a question and the variable n is to be determined. The equation is to be reframed as 11% of n is 175.50. this means that (11/100) × n = 175.50. Now, substituting the values and cross multiplying, we get:

n = (175.50×100)/11

⇒ n = 1595.450.

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Answer:

-5 ± √5² - 4 · 1 · 4

         2 · 1

Step-by-step explanation:

ax²+bx+c=0 (quadratic equation)

x= -b ± √b² - 4ac

           2a

a= 1

b= 5

c= 4

-5 ± √5² - 4 · 1 · 4

            2 · 1

Plug in F(x) to the equation answer and see if it is true or false by plugging it in

The rate law for the reaction can be expressed as: \(\[Rate = k[A][B]^0\]\) or simply: \(\[Rate = k[A]\]\)

In this reaction, the rate is only dependent on the concentration of species A and is independent of the concentration of species B. The exponent for B in the rate law is zero, indicating that changes in the concentration of B do not affect the rate of the reaction. This suggests that B is not involved in the rate-determining step of the reaction and does not participate in the reaction's rate equation.

The rate law is determined experimentally by measuring the initial rates of the reaction at different concentrations of A and B. Since the reaction is first order with respect to A, the rate of the reaction is directly proportional to the concentration of A. The rate constant, denoted as k, is a proportionality constant that incorporates factors such as temperature, catalysts, and reaction mechanism. By observing the reaction rate as a function of the concentration of A, it can be concluded that the rate law for this reaction is \(\(Rate = k[A]\)\), where the concentration of B does not affect the reaction rate.

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The volume of the cinder block can be calculated as follows: L x W x H) - 2(l x w x h)

To find the volume of the cinder block, you need to know the dimensions of the block and the dimensions of the holes. The volume of a rectangular prism is calculated by multiplying the length, width, and height. If the dimensions of the cinder block are L x W x H, and the dimensions of the holes are l x w x h, the volume of the cinder block can be calculated as follows:

Volume of cinder block = (L x W x H) - 2(l x w x h)

You can use this formula to calculate the volume of the cinder block once you know the dimensions of the block and the holes.

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The volume of the cinder block is 624 cu.in.

Consider the following diagram.

We know the formula for the volume of rectangular prism:

V = length × width × height

First we find the volume of the outer rectangular prism.

Let V1 be the volume of outer rectangular prism.

Let l1 be the length, w1 be the width and h1 be the height of the outer rectangular prism.

l1 = 16 in, w1 = 8 in and h1 = 8 in

So, V1 = l1 × w1 × h1

V1 = 16 × 8 × 8

V1 = 1024 cu. in.

The cinder block has two holes shaped like rectangular prisms.

Let V2 be the volume of one hole.

Let l2 be the length, w2 be the width and h2 be the height of one of the hole.

Dimensions of the hole: l2 = 8 in., w2 = 5 in. and h2 = 5 in.

So, V2 = l2 × w2× h2

V2 = 8 × 5 × 5

V2 = 200 cu.in.

The volume of the cinder block would be,

V = V1 - (2 × V2)

V = 1024 - (2 × 200)

V = 1024 - 400

V = 624 cu. in.

Therefore, the required volume is 624 cu³

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Answer:

The radius of the hemisphere is 13.73 in.

Step-by-step explanation:

A hemisphere is exactly half of the sphere.

The volume of the hemisphere is, \(V=\frac{2}{3}\pi r^3\)

Where r is the radius of the hemisphere.

Given the volume of the hemisphere is \(V=2712.3\ in^3\)

Therefore, \(2712.3=\frac{2}{3}\pi r^3\)

⇒\(r^3=\frac{2712.3*3}{2\pi}\)

\(r=13.73\ in\)

The dimensions of the rectangle with the largest possible area are 30 meters by 20 meters.

We can use Lagrange multipliers to find the dimensions of the rectangle with the largest possible area. The area of the rectangle is given by A = lw, where l is the length and w is the width. The perimeter is given by P = 2l + 2w = 120. We can use Lagrange multipliers to find the critical points of the function A, subject to the constraint P = 120. This gives us the following equations:

λ = 2l / A

λ = 2w / A

Solving these equations, we get the following values for l and w:

l = 30

w = 20

Therefore, the dimensions of the rectangle with the largest possible area are 30 meters by 20 meters.

Here is a diagram that illustrates the solution:

Rectangle with dimensions 30 meters by 20 meters.

As you can see, the rectangle with the largest possible area is a square. This is because a square has the greatest ratio of area to perimeter of any rectangle.

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The dimensions of the rectangle with the largest possible area are 30 meters by 20 meters.

We can use Lagrange multipliers to find the dimensions of the rectangle with the largest possible area. The area of the rectangle is given by A = lw, where l is the length and w is the width. The perimeter is given by P = 2l + 2w = 120. We can use Lagrange multipliers to find the critical points of the function A, subject to the constraint P = 120. This gives us the following equations: λ = 2l / A
λ = 2w / A

Solving these equations, we get the following values for l and w:
l = 30, w = 20. Therefore, the dimensions of the rectangle with the largest possible area are 30 meters by 20 meters. Here is a diagram that illustrates the solution: Rectangle with dimensions 30 meters by 20 meters. As you can see, the rectangle with the largest possible area is a square. This is because a square has the greatest ratio of area to perimeter of any rectangle.

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Answer:

The distance between the points is equal to 267 feet

Step-by-step explanation:

In order to find the distance between the highest and the lowest points in the park we just have to subtract the the lower height from the higher height and the resulting difference will be equal to the distance between the two points. And so we get..........

235 - (-32) = 235 + 32 = 267

(Notice that the 32 feet are written as (-32) because the lowest point is 32 feet below the sea level).

Answer:

The equation in Slope-intercept form:

\(y = \frac{2}{3}x + 2\)

Step-by-step explanation:

-Find the slope first, by using the slope formula:

\(m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

(where \((x_{1},y_{1})\) is the first point and \((x_{2},y_{2})\) is the second point).

-Use two given points  from the following problem for the slope formula:

\(m = \frac{6-2}{6-0}\)

-Then, solve the equation:

\(m = \frac{6-2}{6-0}\)

\(m = \frac{2}{3}\)

After you have the found the slope, use both the slope \(\frac{2}{3}\) and the first point \((0,2)\) for the Point-slope formula:

\(y - y_{1} = m (x-x_{1})\)

(where \(m\) is the slope and \((x_{1}, y_{1})\) is the first point).

-The equation in Point-slope form:

\(y - 2 = \frac{2}{3} (x-0)\)

Then, you solve:

\(y - 2 = \frac{2}{3} (x-0)\)

\(y - 2 + 2= \frac{2}{3} (x-0) + 2\)

\(y = \frac{2}{3}x + 2\)

-So, the equation in Slope-intercept form would be:

\(y = \frac{2}{3}x + 2\)

The equation of the line is y = 2x/3 + 2 if the line that passes through (0, 2) and (6, 6).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through (0, 2) and (6, 6)

The slope-intercept form of the equation:

Slope of the line = (6-2)/(6-0)

The slope of the line = 2/3

The equation of the line:

y = 2x/3 + 2

Thus, the equation of the line is y = 2x/3 + 2 if the line passes through (0, 2) and (6, 6).

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Answer:

-1280.0

Step-by-step explanation:

It is a whole number

if you want to show it as a decimal,

put ' .0 ' at the end of the whole number. That is,

=> -1280.0

(a) There are numerous ways to choose the two socks: 2n(2n-1).

(b) Two with same color are always chosen:  2n (n-1).

(c) The likelihood that two socks picked have same color:(n - 1)/(2n - 1).

Let the number of white and black socks be 'n' each.

Then, total n + n = 2n socks.

(a) There are numerous ways to choose the two socks:

There are 2n methods to choose the first sock. There are 2n-1 different ways to choose the second sock.

Because it is irrelevant which socks are chosen first, according to the Fundamental Principle of Counting, there are

2n(2n-1)

Alternative approaches to choosing two socks.

(b) Regardless matter how the socks are picked, two with same color are always chosen:

There are n(n-1) distinct methods to choose two white socks plus n(n-1) different ways to choose two black socks.

n(n-1) + n(n-1)

= 2n (n-1)

Methods for choosing two socks with the same hue.

(c) The likelihood that two socks picked at random have the same color:

If there is an equal chance of choosing any two socks, the probability is:

= 2n(n - 1)/2n(2n - 1)

= (n - 1)/(2n - 1)

The likelihood that two socks picked at random have the same color: (n - 1)/(2n - 1).

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Answer:

it decreases by 1 inch total

Step-by-step explanation:

if it decreases by .05 inches per day for 20 day, then that would be .5 times 20, which equals 1, so in total, the river decreased 1 inch

A n s w e r:

v^2(5-9v^4)

Answer: A; 3.93 rounded to the nearest tenth is 3.9.

Step-by-step explanation: It's A because 3.93 rounded to the nearest tenth is 3.9 because 3 is less than 5, so we round down. B would be 4.3, and C would be 7.6 because 4 is less than 5, so we round down. The last one would still be 8 because 45 is less than 50. I hope this helps!

The correct statement is 3.93 rounded to the nearest tenth is 3.9 .

Given,

Statements.

A)

3.93 rounded to the nearest tenth is 3.9 because 3 is less than 5, so we round down.

B)

As 9 is greater than 5 so we round up.

4.309 rounded to nearest tenth will be 4.31 .

C)

As 4 is less than 5 ,

It would be 7.6 because 4 is less than 5, so we round down.

D)

It would still be 8 because 45 is less than 50.

So after rounding off the number remains same.

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For a random sample of beverage cans, the test statistic or t-test value is equals to 8.1308 and null hypothesis should be rejected. So, the samples mean volume differs by 10.

We have a machine fills beverage cans. The amount of beverage in each can = 10 ounces. Consider a simple random sample of cans with Sample size, n = 8

Sample is approximately normal. We have to check the sample differ from 10 ounces and determine the test statistic value. Let the null and alternative hypothesis are defined, \(H_0 : \mu = 10 \\ H_a: \mu ≠ 10\)

Using the table data, determine the mean and standard deviations. So, Sample mean, \(\bar X = \frac{ 10.11 + 10.11 + 10.12 + 10.14 + 10.05 + 10.16 + 10.06 + 10.14}{8} \\ \)

\( = \frac{80.89}{8} \)

= 10.11125

Now, standard deviations, \(s = \sqrt {\frac{\sum_{i}(X_i -\bar X)²}{n-1}}\)

= 0.03870

degree of freedom, df = n - 1 = 7

Level of significance= 0.10

Test statistic for mean : \(t = \frac{\bar X - \mu}{\frac{s}{\sqrt{n}}}\)

\( = \frac{10.11 - 10}{\frac{0.03871} {\sqrt{8}}}\)

= \( \frac{0.11 }{\frac{0.03871}{\sqrt{8}}}\)

= 8.1308

The p-value for t = 8.1308 and degree of freedom 7 is equals 0.0001. As we see, p-value = 0.0001 < 0.1, so null hypothesis should be rejected. So, the sample mean volume differs from 10 ounces.

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Complete question:

a machine that fills beverage cans is supposed to put 10 ounces of beverage in each can. The below table contains are the amounts measured in a simple random sample of eight cans. assume that the sample is approximately normal. can you conclude that sample mean volume differs from 10 ounces? compute the value of the test statistic at 0.05 level of significance.

q is restricted to the interval (0,1), both terms in B''(q) are positive.       B''(q) = -1/q + 1/(1-q) < 0 for q ∈ (0,1).the information gain IG is always greater than or equal to zero. If pi = 0 for i ≠ 1 and ni = 0 for        i = 1, the information gain of the split will be 0.

(a) The second derivative of B(q) with respect to q, denoted as B''(q), can be calculated as -1/q - (-1/(1-q)). Simplifying this expression gives B''(q) = -1/q + 1/(1-q). Since q is restricted to the interval (0,1), both terms in B''(q) are positive. Therefore, B''(q) = -1/q + 1/(1-q) < 0 for q ∈ (0,1).

(b) The information gain (IG) is defined as the difference between the entropy before and after the split, denoted as H(S) - Σi=1^k (pi+ni)/(p+n) * H(Si), where H(S) is the entropy of the original set S and H(Si) is the entropy of subset Si. Based on the properties of entropy, H(S) and H(Si) are both non-negative values. Additionally, the probabilities pi and ni are also non-negative, as they represent the number of positive and negative examples in each subset. Therefore, the information gain IG is always greater than or equal to zero.

(c) If the information gain of the split is 0, it means that the entropy after the split is equal to the entropy before the split. In other words, H(S) = Σi=1^k (pi+ni)/(p+n) * H(Si). To distribute the positive and negative samples such that the information gain is 0, we need to ensure that the entropy of each subset Si is 0. This can be achieved by assigning all positive samples to one subset, say S1, and all negative samples to the remaining subsets, S2, S3, ..., Sk. Therefore, if pi = 0 for i ≠ 1 and ni = 0 for i = 1, the information gain of the split will be 0.

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Answer:

A

Step-by-step explanation:

The lines are not coincident, they do are not, essentially, touching at all points. coincident lines overlap each other, appearing like one line.

Answer: 4.584

Step-by-step explanation:

22.92/x=100/20

(22.92/x)*x=(100/20)*x       - we multiply both sides of the equation by x

22.92=5*x       - we divide both sides of the equation by (5) to get x

22.92/5=x

4.584=x

x=4.584

Answer:

4.584

Step-by-step explanation: