in ordinary form 1.46 ×10^-2​

Angle a=35° (Vertically Opposite Angles)

Angle b= 180°-90°-35° =55° (Sum of angles in a triangle)

Angle c=180°-70°=110° (Angles on a straight line)

After estimating 48 ÷ 7, we get the result as 7.

We are given an expression

48 ÷ 7

We need to estimate the result.

First, we will divide 48 by 7

So, we get that:

48 ÷ 7 = 6.857

Now we will estimate it.

We will round of the result.

as 6 > 5, we will get it as:

48 ÷ 7 ≈ 7

Therefore, after estimating 48 ÷ 7, we get the result as 7.

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Answer:

246.2

Step-by-step explanation:

Hope this helps!

Answer:

Mpq= (

\( \frac{4 \times \frac{1}{3} + - 2 \times \frac{1}{5} }{2} and \frac{3 \times \frac{1}{6} + 3 \times \frac{2}{3} }{2} \)

\( \frac{16}{15} \: and \frac{41}{12} \)

midpoint for PQ is (16/15; 41/12)

Answer:

12x+6

Step-by-step explanation:

7x+(6+5x)

- add like terms

12x+6

Hope This Helps!

Answer:

12x+6

Step-by-step explanation:7x+(6+5x)

when there is a+ in front of an expression in parentheses, the expression remains the same

=7x+6+5x

collect like terms which are 7x and 5x

=12x+6

Please mark me as the brainliest.

Answer:

a) - 10m

b) - $5000

c) - 40°

d) + $2000

Step-by-step explanation:

I hope this help you

The weight fraction distribution of the polymer sample suggests a polydispersity index of 979/225, with xₙ and x both equal to 5.

xₙ, x, and the polydispersity index is calculated by determining the values of k, xₙ, and x based on the given weight fraction distribution.

First, we consider the weight fractions for each x-mer:

w₁ = k(1)³ = k

w₂ = k(2)³ = 8k

w₃ = k(3)³ = 27k

w₄ = k(4)³ = 64k

w₅ = k(5)³ = 125k

Since the sum of all weight fractions should be equal to 1, we set up the following equation:

w₁ + w₂ + w₃ + w₄ + w₅ = 1

k + 8k + 27k + 64k + 125k = 1

225k = 1

Solving for k:

k = 1/225

Now, we find the xₙ and x values. The weight fraction distribution is given by the equation wₓ = kx³.

For xₙ, we find the highest x value for which the weight fraction is non-zero. In this case, we see that w₅ = 125k, which is non-zero. Therefore, xₙ = 5.

For x, we find the x value at which the weight fraction distribution reaches its peak. We determine this by finding the maximum weight fraction among all x-mer fractions. In this case, we observe that w₅ = 125k is the highest weight fraction. Therefore, x = 5.

Finally, we calculate the polydispersity index (PDI). The polydispersity index is defined as the ratio of the weight average molecular weight (Mw) to the number average molecular weight (Mn). It is calculated using the following formula:

PDI = Mw / Mn

In our case, we express Mw and Mn using the weight fraction distribution:

Mw = Σ(wₓ * x) = w₁ * 1 + w₂ * 2 + w₃ * 3 + w₄ * 4 + w₅ * 5

= k * 1 + 8k * 2 + 27k * 3 + 64k * 4 + 125k * 5

= k + 16k + 81k + 256k + 625k

= 979k

Mn = Σ(wₓ) = w₁ + w₂ + w₃ + w₄ + w₅

= k + 8k + 27k + 64k + 125k

= 225k

Substituting the values of k from earlier:

Mw = 979 * (1/225)

Mn = 225 * (1/225)

PDI = Mw / Mn

= (979/225) / (225/225)

= 979/225

Therefore, the polydispersity index (PDI) is 979/225, and xₙ = 5 and x = 5 based on the given weight fraction distribution.

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Answer:

can you rewrite that

Step-by-step explanat

Answer:

the answer is no

Step-by-step explanation:

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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Considering the curve x³y + y³ = sin y - x, the final i is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

Implicit differentiation is a technique used to differentiate equations that are not explicitly expressed in terms of one variable. It is particularly useful when you have an equation that defines a relationship between two or more variables, and you want to find the derivatives of those variables with respect to each other.

To find dy/dx for the curve x³y + y³ = sin y - x², the implicit differentiation will be used which involves differentiating both sides of the equation with respect to x.

It is expressed as follows;

\(\frac{d}{dx} x^3y + \frac{d}{dx} y^3 = \frac{d}{dx} sin(y) - \frac{d}{dx} x^2\)

Then we'll differentiate each term:

For the first term, x^3y, we'll use the product rule

\(\frac{d}{dx} x^3y = 3x^2y + x^3 \frac{dy}{dx}\)

For the second term, y^3, we'll also use the chain rule

\(\frac{d}{dx} y^3 = 3y^2 \frac{dy}{dx}\)

For the third term, sin(y), we'll again use the chain rule

\(\frac{d}{dx} sin(y) = cos(y) \frac{dy}{dx}\)

For the fourth term, x², we'll use the power rule

\(\frac{d}{dx} x^2 = 2x\)

Substituting these expressions back into the original equation, we get:

3x²y + x³(dy/dx) + 3y²(dy/dx) = cos(y)(dy/dx) - 2x

Simplifying the equation:3x²y + x³(dy/dx) + 3y²(dy/dx) - cos(y)(dy/dx) = -2x

Dividing both sides by 3y² - cos(y), we get:(x³ - cos(y))(dy/dx) = -2x / (3y² - cos(y))

Hence, the final answer is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

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The given series is: Σ((4n + 1) / (9n + 7)), where n ranges from 0 to infinity. We can observe that both the numerator and the denominator are linear functions of n. To determine whether the series converges or diverges, we can use the nth-Term Test for Divergence.

Using the nth-Term Test, we evaluate the limit of the general term of the series as n approaches infinity. Let's calculate this limit:

lim(n→∞) ((4n + 1) / (9n + 7))

By dividing both the numerator and denominator by n, we get:

lim(n→∞) (4 + 1/n) / (9 + 7/n)

As n approaches infinity, the terms 1/n and 7/n tend to zero. Therefore, the limit simplifies to:

lim(n→∞) (4) / (9)

Hence, the limit is a finite value of 4/9. According to the nth-Term Test for Divergence, if the limit of the general term is a nonzero finite value, the series diverges.

Therefore, the given series diverges.

The nth-Term Test for Divergence states that if the limit of the general term of a series as n approaches infinity is nonzero or does not exist, then the series diverges. In this case, we applied the test and found that the limit of ((4n + 1) / (9n + 7)) as n approaches infinity is 4/9, which is a nonzero finite value. Thus, we concluded that the series diverges. This means that the series does not have a finite sum and its terms do not approach zero as n increases.

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Step-by-step explanation:

I solved it by steps...

I hope you understand...

Answer:

B. y > 14

y which is students age is greater than 14

Answer:

h = 6 is the correct answer.

Step-by-step explanation:

To find the height (h) of a cone with volume V and diameter d, we can use the formula:

V = (1/3)πr^2h, where r is the radius of the cone and d = 2r.

In this problem, we are given that the volume V = 72 cubic millimeters and the diameter d = 12 millimeters. Therefore, the radius r = d/2 = 6 millimeters.

Substituting these values into the formula, we get:

72π = (1/3)π(6^2)h

72π = 12πh

h = 6

So, the correct answer is h = 6, which means that Mario's work is incorrect.

Looking at Mario's work, he correctly wrote down the formula for the volume of a cone and substituted the given values, but he made a mistake in simplifying the equation.

On the left side of the equation, he correctly multiplied 72 by π, but he should have divided the result by 3 to get (1/3)π(144), instead of π(144).

On the right side of the equation, he correctly wrote down the product of (1/3)π(12^2) and h, but he simplified it incorrectly by multiplying 48π by h instead of 12π by h.

Therefore, the correct equation after simplification would be:

(1/3)π(144)h = 72π

Simplifying this equation further would give us h = 6, which is the correct answer.

(Reference to Chatgpts work)

Answer:

C) No, he did not use the radius measure in the formula.

Proof:  

To count the number of relations R on set A such that at least one ordered pair in R has element a as its first element, we can consider the total number of relations on A and subtract the number of relations that do not have a as the first element in any ordered pair.

Given:

- Set A has 6 elements.

- Element a is one of the elements in A.

- Element b is also an element in A, and it is distinct from element a.

The total number of relations on set A is given by 2^(n^2), where n is the number of elements in A. In this case, n = 6.

Total number of relations on A = 2^(6^2) = 2^36

Now, let's calculate the number of relations on A that do not have a as the first element in any ordered pair. For any ordered pair in a relation, the first element can be any of the remaining 5 elements in A (excluding a). Similarly, the second element can be any of the 6 elements in A.

Number of relations without a as the first element = 5 * 6^2 = 180

Therefore, the number of relations R on A such that at least one ordered pair in R has a as its first element is:

Number of relations with a as the first element = Total number of relations on A - Number of relations without a as the first element

Number of relations with a as the first element = 2^36 - 180

Please note that the resulting number is an extremely large number.

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Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

Answer:

6/21

Step-by-step explanation:

bc thats the answer

Answer:

Simplified: 6/15 = 2/5

Step by-step explanation:

Answer:

39

Step-by-step explanation:

The answer is = 39

1 to the pwer of 1 = 1

3 to the power of 3 = 27

Answer:

150 units squared

Step-by-step explanation:

Answer:

\(m_{perpendicular}\) = \(\frac{1}{2}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 2x = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-2}\) = \(\frac{1}{2}\)

In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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Answer:

A. 28.1 cm^2

Step-by-step explanation:

a = bh

a = (7.6)(3.7)

a = 28.12 cm^2

a = 28.1 cm^2

Answer:

z=2

Step-by-step explanation:

add 15 to both sides.

6z=-8z+28

add 8z to both sides.

14z=28

divide by 14 on both sides.

z=2

Answer:

z=2

Step-by-step explanation:

-15+6z=-8z+13

6z=-8z+28

14z=28

z=2

Chemical reactions such as photosynthesis explains the manner in which green plants manufacture their own food using the energy derived from sunlight.

What is photosynthesis?

Photosynthesis is the process in which green plants prepare their own food in the presence of sunlight and light energy is converted into chemical energy by the process of cellular respiration.

The process of photosynthesis takes place in green plants only due to presence of chlorophyll and materials such as sunlight, water, carbon dioxide is required for the process of photosynthesis.

The equation of photosynthesis is represented below:

6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂.

The process of food manufacturing in plant is done through photosynthesis and the plants are known as autotrophs as they are the producers.

In the process of photosynthesis the reactant have 6 carbon dioxide molecules and six water molecules, and light energy converted into chemical energy due to presence of chlorophyll.

Therefore, Chemical reactions such as photosynthesis explains the manner in which green plants manufacture their own food using the energy derived from sunlight.

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It (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

In statistics, a simple random sample (or SRS) is a subset of people (a sample) picked at random from a larger group of people (a population), all with the same probability.

It is a method of choosing a sample at random. Each subset of k people in SRS has the same chance of getting selected for the sample as any other subset of k people.  

An objective sampling strategy is a straightforward random sample. Simple random sampling is a fundamental kind of sampling that can be used in combination with other, more sophisticated sampling techniques.

So, in the given situation of Mr. Goodmain and with all the information given we can conclude that it cannot be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s.

Therefore, it (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

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Complete question:

Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year, he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Departments?

Hypotheses:

H0: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

H1: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

Enter the test statistic - round to 4 decimal places.

Enter the p-value - round to 4 decimal places.

Can it be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s?

a. Yes

b. No

The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.

Every linear equation has n - 1 free variables where n is the number of variables.

For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.

First, let y and z be the free variables, we first solve the linear equation for x to get:

x = 2 - y - z

Therefore , the parametric representation of the solution set is given by :

x = 2 - s -t

y = s

z = t

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