witch one is correct hellllppp

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

a. 5

b. 36

c. 1/3

d. 1/6

Step-by-step explanation:

a. The answer is five because 9 people bike and 4 people walk and 9-4 is equal to 5

b. The is answer is 36 because 12 people walked, 9 people biked, 4 people walked, 6 people used a motorcycle and 5 people used a cab and 12+9+4+6+5=36

c. The answer is 1/3 because 12 people walked to school and there are 36 people in the class so 12/36 people walked to school, which can be simplified to 1/3.

d. The answer is 1/6 because 6 people used a motorcycle to go school and there are 36 people in the class so 6/36 people used a motorcycle which is equal to 1/6

Answer:

C.°

Step-by-step explanation:

According to the theorem , "Angles in the same segment are congruent"

So

m<D = 55°

Therefore , the solution of the given problem of function comes out to be  the function f(x) = 4x - 12ln(9x), x > 0, has a local minimum at the crucial point x = 3.

The math lesson covers an extensive variety of subjects, including geometry, integers, one's divisions, construction, and both real and imagined geographic places. A work covers the connections between various variable that all work together to produce the same result. A utility is made up of a variety of distinctive components that cooperate to create distinct results for each input.

Here,

We must first determine the derivative f'(x) and then solve for f'(x) = 0 in order to determine the critical spots of the function f(x) = 4x - 12ln(9x), where x > 0.

=> f(x) = 4x - 12ln (9x)

=> f'(x) = 4 - 12(1/x) = 4 - 12/x

Now, in order to determine the critical spots, we must solve f'(x) = 0:

=> 4 - 12/x = 0

When we multiply both parts by x, we obtain:

=>4x - 12 = 0

After finding x, we obtain:

=> x = 3

Consequently, the sole turning point is x = 3.

We can use the Second Derivative Test to determine whether this crucial point relates to a maximum, minimum, or neither.

=> f''(x) = 12/x^2

f"(3) = 4, which is positive, when x = 3. This suggests that at x = 3, f(x) has a local minimum.

As a result, the function f(x) = 4x - 12ln(9x), x > 0, has a local minimum at the crucial point x = 3.

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Answer:

nine

Step-by-step explanation:

Answer:

Interest = $1.75

Step-by-step explanation:

Maria invest $600, and receives interest of $30 per year

We know that PRT/100= INTEREST

R=( 100*INTEREST)/(PT)

R = (100*30)/(600*1)

R= 3000/600

R= 5%

Jane invest $350 at Sam rate with Maria , that is 5% , for a year, her interest

Interest= 350*5*1/100

Interest = $1.75

Answer:

Step-by-step explanation:

3x²=15-4x

divide by 3 on both sides

x²=5-\(\frac{4}{3}\)x ​ ​

move everything to one side

x²+\(\frac{4}{3}\)x ​-5 = 0

add the square of 1/2 the middle term of \(\frac{4}{3}\)  but also subtract it too

x²+\(\frac{4}{3}\)x +\(( \frac{2}{3} )^{2}\)​-5-\(( \frac{2}{3} )^{2}\)​ = 0

now use the property of a perfect square to rewrite

\((x+\frac{2}{3}) ^{2}\) -5 -\(\frac{4}{9}\) = 0

rewrite 5 as a fraction

\((x+\frac{2}{3}) ^{2}\) - \(\frac{45}{9}\)- \(\frac{4}{9}\) = 0

add up the fractions

\((x+\frac{2}{3}) ^{2}\) - \(\frac{49}{9}\) = 0

move to the other side

\((x+\frac{2}{3}) ^{2}\) = \(\frac{49}{9}\)

take the square root of both sides :P

\(\sqrt{((x+\frac{2}{3}) ^{2} }\)  = \(\sqrt{\frac{49}{9} }\)

much easier looking now, just use algebra to solve for x

x + \(\frac{2}{3}\) = \(\frac{7}{3}\)

subtract  \(\frac{2}{3}\)  from both sides

x + \(\frac{2}{3}\) -  \(\frac{2}{3}\) = \(\frac{7}{3}\) - \(\frac{2}{3}\)

x = \(\frac{5}{3}\)

:)  

​

Answer:

x = - 3, x = \(\frac{5}{3}\)

Step-by-step explanation:

Given

3x² =15 - 4x ( add 4x to both sides )

3x² + 4x = 15 ← factor out 3 from each term on the left side

3(x² + \(\frac{4}{3}\) x) = 15

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + \(\frac{4}{3}\) x

3(x² + 2(\(\frac{2}{3}\) )x + \(\frac{4}{9}\) - \(\frac{4}{9}\) ) = 15

3(x + \(\frac{2}{3}\) )² - \(\frac{4}{3}\) = 15 ( add \(\frac{4}{3}\) to both sides )

3(x + \(\frac{2}{3}\) )² = 15 + \(\frac{4}{3}\) = \(\frac{49}{3}\) ( divide both sides by 3 )

(x + \(\frac{2}{3}\) )² = \(\frac{49}{9}\) ( take the square root of both sides )

x + \(\frac{2}{3}\) = ± \(\sqrt{\frac{49}{9} }\) = ± \(\frac{7}{3}\) ( subtract \(\frac{2}{3}\) from both sides )

x = - \(\frac{2}{3}\) ± \(\frac{7}{3}\), then

x = - \(\frac{2}{3}\) - \(\frac{7}{3}\) = - 3

x = - \(\frac{2}{3}\) + \(\frac{7}{3}\) = \(\frac{5}{3}\)

The equation of the plane containing the line x = 2 + t, y = 4 − t, z = 3 − 3t and is parallel to the plane 5x + 2y + z = 3 is 5x + 2y + z = 21

What is a plane?

Any flat, three-dimensional, infinitely long surface is considered to be a plane. It can alternatively be thought of as the two-dimensional equivalent of a point with zero dimensions, a line with one dimension, and a space with three dimensions.

Given that, a plane is containing the line x = 2 + t, y = 4 − t, z = 3 − 3t and is parallel to the plane 5x + 2y + z = 3

Any  plan e parallel to the plane 5x + 2y + z = 3 , should be in the form of 5x + 2y + z = k

Now, this plane should contain the line mentioned above

On substituting the terms,

5(2 + t) + 2(4 - t) + (3 - 3t) = k

10 + 5t + 8 - 2t + 3 -3t = k

21 = k

Therefore, The equation of the required plane is 5x + 2y + z = 21

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According to the solution we have come to find that, For the given percentage value, approximately 26 painters worked on the job.

What is percentage?

Percentage is a way of expressing a portion or fraction of a whole as a number out of 100. It is denoted by the symbol % (percent) and is used to compare and analyze data in various fields such as finance, science, and statistics.

Let's call the total number of workers on the job "x". We know that 53.8% of the workers are painters, so we can write:

0.538x = 14

To solve for x, we can divide both sides by 0.538:

x = 14 ÷ 0.538

Using a calculator, we get:

x ≈ 26

Therefore, approximately 26 painters worked on the job.

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Answer:

2≤7

Step-by-step explanation:

-7+9≤-2+9

2≤7

a. Point P on the line and the direction vector v of the line can be expressed as P = (x0, y0, z0) + t(a, b, c).

b. The distance from the origin to the line -x=y+1, z=2 is the shortest distance between a point and a line.

Here (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector. To find (x0, y0, z0) and (a, b, c), we need more information about the line.

This formula involves taking the dot product of the direction vector of the line and the difference between a point on the line and the origin. Again, we need more information about the line in order to calculate this distance.

Without more information about line L, it is not possible to find the point P or the distance from the origin to the line.

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(1) The addition of 1/2 + 1/6 is 2/3.

(2) The addition of 2/3 + 5/12 is 1 1/12.

(3) The subtraction of 1/6 from 1/2 is 1/3.

(4) The subtraction of 5/6 from 3/2 is 2/3

To add 1/2 + 1/6 using a number line, we need to find the point that represents 1/2 and then move 1/6 units to the right.

Here's how to do it:

To add 2/3 + 5/12 using a number line, we need to find the point that represents 2/3 and then move 5/12 units to the right.

Here's how to do it:

To subtract 1/2 - 1/6 using a number line, we need to find the point that represents 1/2 and then move 1/6 units to the left.

Here's how to do it:

To subtract 3/2 - 5/6 using a number line, we need to find the point that represents 3/2 and then move 5/6 units to the left. Here's how to do it:

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The sector areas of the grey and white areas are 159.09 in² and 41.87 in²

From the question, we have the following parameters that can be used in our computation:

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

Substitute the known values in the above equation, so, we have the following representation

Hence, the area is 159.09

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Answer:like 5%

Step-by-step explanation:

The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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Answer:

1215 N

Explanation:

We're told from the question that the drag force, F, on a boat varies jointly with the wet surface area, A, of the boat, and the square of the speed, s, of the boat, this can be expressed mathematically as;

where k = constant of proportionality

Given A = 83 ft^2

s = 20 mph

F = 996N

Let's go ahead and substitute these values into the above equation and solve for k;

Given A = 125 ft^2, s = 18 mph and we know that k = 0.03, let's go ahead and solve for F;

answer:

x = - 9/2

y = -10

Step-by-step explanation:

make both equations look like y =

2x-3y=21 -> -3y= -2x+21 -> y = (-2x+21)/-3 -> y = 2/3x - 7

-6x + 2y = 7 -> 2y = 6x + 7 -> y = 3x + 7/2

now make the equations equal to each other (since they both equal y)

get x

2/3x - 7 = 3x + 7/2

-7 -7/2 = 3x - 2/3x

-14/2 -7/2 = 9/3x - 2/3x

-21/2 = 7/3x

(3/7) -21/2 = x

x = (3/7) -21/2

x = - 63/14

x = - 9/2

put it back in an equation to get y

y = 3x + 7/2

y = 3(-9/2) + 7/2

y = -27/2 + 7/2

y = -20/2

y = - 10

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Answer:

Area: 378.5

Perimeter: 71.4

Step-by-step explanation:

Area = 3 square + 2 semicircle

A = 3 x 10² + 2 x (3.14 x 5²)/2 = 300 + 78.5 = 378.5

perimeter = 2 square/2 + 2circle/2

P = 2 x(10 + 10) + 2 x (2 x 3.14 x 5) / 2 = 40 + 31.4 = 71.4

Hence the value of c = 4 in [3,5] for Rolles theorem.

Rolle's Principle

If a function f is defined in the closed interval [a, b] in a manner that meets the requirements listed below.

The interval [a, b] is closed and the function f is continuous.

ii) On the open interval, the function f can be differentiated (a, b)

iii) If f (a) = f (b), then at least one value of x exists; in this case, let's assume that this value is c, which is situated between a and b, i.e. (a c b), in such a way that f'(c) = 0.

There exists a point x = c in (a, b) such that f'(c) = 0 if a function is continuous on the closed interval [a, b] and differentiable on the open interval (a, b).

let f(x)=x²-8x+12 in [3,5]

i) f(x) is continuous in closed interval [3,5] because f(x) is algebraic function.

ii) f(x) is differentiable in the open interval (3,5) since the algebraic function is differentiable.

now f(3)=3²-8*3+12

f(3)= 9-24+12

f(3)= -3

f(5) = 25-40+12

f(5)= - 3

f(3) = f(5)

f'(x)= 2x-8

x=c ,c in [3,5]

f'(c)= 2c-8

2c-8=0

c=4

Hence the value of c = 4 in [3,5] for Rolles theorem.

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Answer:

B

Step-by-step explanation:

rational number means comparison between two numbers

eg: 1:3 or 1/3 or 0.333

irritional number does not

The one of the numbers is an irrational number that is A) 134 / 675

Rational numbers are numbers which can be written in the form of \(\dfrac{a}{b}\)where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Noted that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

For example

: 1:3 or 1/3

or 0.333

But irrational number does not.

The rational number means the comparison between two numbers

A) 134 / 675 = 0.19

B) 3.

C) 7.676767…

D) 8.12131415…

So,  A) 134 / 675

This is an irrational number

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The solution of the inequality in interval notation is [-3/16, 3/16]

The inequality in the question is given as

−9≤32z−3≤3

This inequality can be expressed properly as

−9≤ 32z − 3 ≤ 3

Add 3 to all sides of the inequality

So, we have the following representation

−6 ≤ 32z ≤ 6

Divide through all sides by 32

So, we have

−6/32 ≤ z ≤ 6/32

Simplify

−3/16 ≤ z ≤ 3/16

Express as an interval:

[-3/16, 3/16]

Hence, the solution is [-3/16, 3/16]

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Among the four options provided in the reference diagram for the question attached thereby along with the question statement, {(-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)} is the relation that has a domain of {(-5), (-3), 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}.

As per the question statement, we are required to determine the relation which has a domain of {-5, -3, 0) and a range of {1, 2, 3, 4, 5, 6, 7, 8).

To solve this question, we will use the trial-and-error method on the options provided. We have to find out possible (x, y) combination, where "x" belongs to the set of {(-5), (-3), 0} and "y" belongs to the set of {1, 2, 3, 4, 5, 6, 7, 8}, and match these combinations with the options.

The first option has x values from the set of {1, 2, 3, 4, 5, 6, 7, 8} and y values from the set of {(-5), (-3), 0}. Hence, it is not the correct answer.

The second option has x values from the set of {(-5), (-3), 0} and y values from the set of {1, 2, 3, 4, 5, 6, 7, 8}. Hence, it is one possible correct answer.

The third and fourth options have values out of the sets of {(-5), (-3), 0} and {1, 2, 3, 4, 5, 6, 7, 8}. Hence, they are not the correct answers.

Therefore,  {(-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)} is the relation that has a domain of {(-5), (-3), 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}.

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Answer:

shorn male = 20%

Step-by-step explanation:

The probability that the escaped lamb is a shorn male is 1/5 or 0.2, which is 20%.

To find the probability that the escaped lamb is a shorn male, we need to calculate the ratio of shorn male lambs to the total number of lambs.

Number of shorn male lambs = 10

Total number of lambs = 22 (male) + 28 (female) = 50

Probability = (Number of shorn male lambs) / (Total number of lambs)

Probability = 10 / 50

Probability = 1 / 5

So, the probability that the escaped lamb is a shorn male is 1/5 or 0.2, which is 20%.

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Answer:

Temperature in °F = 160°F

Step-by-step explanation:

Temperature can be defined as a measure of the degree of coldness or hotness of a physical object. It is measured with a thermometer and its units are Celsius (°C), Kelvin (K) and Fahrenheit (°F).

Given the following data;

Temperature in Celsius = 25°C

To convert celsius to fahrenheit, we would use the following formula;

Temperature in °F = (5 x temperature in °C + 32°)

Substituting into the formula, we have;

Temperature in °F = (5 x 25 + 32°)

Temperature in °F = (125 + 32°)

Temperature in °F = 157

To the nearest 10°F;

Temperature in °F = 160°F

Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

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Answer:

-78/30 or -2 3/5

Step-by-step explanation:

4 1/6 - 3 3/5

25/6 - 18/5

30-108\30

= -78/30 or -2 3/5

Answer:

4 1

6

–

3 3

5

=

17

30

Step-by-step explanation:

4 1

6

–

3 3

5

=  (4 – 3) + (

1

6

–

3

5

)

=  1 +

1 × 5

6 × 5

–

3 × 6

5 × 6

=  1 +

5

30

–

18

30

=  1 +

5 – 18

30

=  1 +

-13

30

=  

17

30

Answer/Step-by-step explanation:

The two triangles we have in the diagram shar the same vertex. They are both similar triangles. Therefore, their side lengths would be proportional.

This means:

\( \frac{9.8}{4.3} = \frac{r}{5.1} = \frac{n}{2.7} \)

Solve for variable r and n respectively.

Thus:

\( \frac{9.8}{4.3} = \frac{r}{5.1} \)

Multiply both besides by 5.1

\( \frac{9.8}{4.3} \times 5.1 = \frac{r}{5.1} \times 5.1 \)

\( \frac{9.8 \times 5.1}{4.3} = r \)

11.6 = r (nearest tenth)

Also,

\( \frac{9.8}{4.3} = \frac{n}{2.7} \)

Multiply both besides by 2.7

\( \frac{9.8}{4.3} \times 2.7 = \frac{n}{5.1} \times 2.7 \)

\( \frac{9.8 \times 2.7}{4.3} = r \)

6.2 = n (nearest tenth)

The probability that exactly 3 out of 4 people chosen at random favor the new building project is 0.2904.

This problem can be solved using the binomial probability formula. Let X be the number of people who favor the new building project out of the 4 chosen at random. Then X follows a binomial distribution with parameters n = 4 and p = 0.45.

The probability of having exactly k people who favor the new building project out of 4 is given by:

P(X = k) = (4 choose k) * \(0.45^{k}\) * \(0.55^{4-k}\)

where (4 choose k) is the binomial coefficient.

To find the probability that exactly 3 of the 4 people favor the new building project, we substitute k = 3 in the above formula and evaluate:

P(X = 3) = (4 choose 3) * \(0.45^{3}\) * \(0.55^{1}\)

= 0.290384375

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