Meg has 24 feet of ribbon that she wants to divide into 3/5 of a foot pieces. How many 3/5 of a foot pieces are there in 24 feet?

Answer:

y = -Ax + C

Step-by-step explanation:

Ax + By = C

-ax            -ax

By  = -Ax + C

Answer:

y = -Ax + C

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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Answer:

i think that the correct answer is 12 for the least common denominator

Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

If you think my answer is the best, please mark it as the Brainliest.
Thank you! :))

Answer:

77 would be the right answer

Answer:

B. F(x) = 3(x - 2)² - 2

Step-by-step explanation:

→The function F(x) narrowed, meaning the absolute value being multiplied to the function is greater than 1.

→The function F(x) flipped over the x-axis, this means that the number being multiplied has to be a negative.

→The function F(x) shifted to the left 2 units, this means there needs to be a 2 being added.

→The function F(x) shifted downwards 2 units, meaning there needs to be a 2 being subtracted from the whole function.

This gives us the correct answer of "B. F(x) = 3(x - 2)² - 2."

Answer:

32

Step-by-step explanation:

A=wl=4·8=32

Answer:

The ratio for the first print job is 150/30 = 5 pages per second.

The ratio for the second print job is 130/20 = 6.5 pages per second.

Since the ratios are different, the data do not represent a proportional relationship. In a proportional relationship, the ratio between two variables remains constant.

Step-by-step explanation:

Answer:

there are 36 part time employees and there are 144 full time employees

Step-by-step explanation: multiply 45 by 4

then multiply 180 by 0.2 to get 36 and 180 by 0.8 and get 144

Answer:

a)  P (COO)  = 0,135

b) P ( SISI) = 0,00015

Step-by-step explanation:

a) the probability of an ion channel in open position is 50 %   0,5

   the probability of an ion channel in close position is 50 %   0,5

probability for the following sequence of states COO

to be closed   0,5    (C)

from (C) to pass to open  0,3  (O)

and to stay O  is 0,9

Then the probability of the sequence of states COO is

P (COO)  = 0,5 * 0,3 * 0,9  

P (COO)  = 0,135

b) If people are either infected or susceptible, then

Probability of an individual infected is  0,5

Probability of an individual susceptible  is 0,5

to pass from susceptible to infected is 0,05

to pass from infected to susceptible is 0,12

then

P ( SISI) = 0,5 * 0,05*0,12*0,05

P ( SISI) = 0,00015

probability for the following sequence of states COO

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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The domain and range of function p for the intervals (0, 14) and (0, 80) respectively.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given a graph that has Function p representing the number of people in the library on a Monday as a function of hours since the library opened.

Based on the graph and the situation, the required solution would be as:

The domain at intervals (0, 14) and range at intervals (0, 80) for function p.

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Answer:

This triangle is obtuse and isosceles

Step-by-step explanation:

An obtuse triangle is a triangle in which one of the angles is greater than 90°. You can clearly see that angle NPO is greater than a right angle.

An isosceles triangle is a triangle in which two sides are equal and two angles are equal. Sides NP and PO are equal because they both measure 4m, which necessarily means that the angles opposite them are congruent (angles PNO and NOP).

Answer:

ΔNOP is obtuse triangle and isosceles triangle.

Step-by-step explanation:

An acute triangle has three angles that each measure less than 90°.

An obtuse triangle is a triangle with one angle greater than 90°.

A right triangle is a triangle with one 90° angle represented by the symbol ∟.

From inspection of the triangle, it appears that angle P is greater than 90°, which means it is an obtuse triangle.

This can be confirmed by using the cosine rule to calculate angle P.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Cosine Rule (for finding angles)} \\\\$\cos(C)=\dfrac{a^2+b^2-c^2}{2ab}$\\\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides adjacent the angle. \\ \phantom{ww}$\bullet$ $c$ is the side opposite the angle.\\\end{minipage}}\)

Therefore:

\(\implies \cos(P)=\dfrac{4^2+4^2-7^2}{2(4)(4)}\)

\(\implies \cos(P)=-\dfrac{17}{32}\)

\(\implies P=\cos^{-1}\left(-\dfrac{17}{32}\right)\)

\(\implies P=122.08995...^{\circ}\)

As 122.1° > 90°, this proves that triangle NOP is obtuse.

An equilateral triangle has three sides of equal length.

A scalene triangle has three sides of differing lengths.

An isosceles triangle has two sides of equal length.

Therefore, as NP = OP ≠ ON, the triangle has two sides of equal length and so it an isosceles triangle.

Answer:

121 km

Step-by-step explanation:

i added all the number together

Answer:

-The force on an object due to it's mass and gravity

Answer:

B) 15

Step-by-step explanation:

Using basic logic we find that x = 4 and y = 1

4^2 = 16

1^2 = 1

16 - 1 = 15

Eliminate the opponent number

\( - 3x = 0\)

Change the sign of both sides of the equation

\(3x = 0\)

Divide both sides by the same number

\(x = 0\)

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The attached graph is provided below .

The slope is determined by dividing the change in price by the variation in the amount of deli meat. The magnitude means that there is a change of 3 units in the cost per each pound of change of deli meat.

A collection of points in the coordinate plane that are all solutions to the equation make up the graph of the linear equation.The equation can be graphed if each variable has a real value by plotting enough points on the graph to discern a pattern, then connecting those points to include all of the points.

The following linear equation represents the cost (x), measured in dollars, as a function of the amount of deli meat (y), measured in pounds:

y = 3x                     ..... (1)

The attached graph is provided below.

The required slope is determined by dividing the change in price by the variation in the amount of deli meat. The magnitude means that there is a change of 3 units in the cost per each pound of change of deli meat.

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The cost per page is $1.5 and 38 pages of the book will cost $57

Data;

To solve this question, we have to know the cost of one page of the book.

In the first scenario, 20 pages cost $30, let's find the cost of one page here.

\(20 page = \$30\\1 page = x\\x = \frac{30}{20}\\x = 1.5\)

We can confirm our answer here by testing with the second scenario;

\(32 page = \$48\\1page = y\\y = \frac{48}{32} = 1.5\)

Now can say that one page of the book cost $1.5, let's divide 57 by this to determine the number of pages

\(z = \frac{57}{1.5} \\z = 38\)

From the calculations above, 38 pages of the book will cost $57.

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Answer:

\(-1 < x < 0\\0 < x < 1\)

Step-by-step explanation:

At those range, the slope is negative. As the line is going right, it is going down.

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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Answer:

B.

Step-by-step explanation:

Let's write an equation that expresses the relationship.

Let s denote the amount of spiders.

We know that every time Alex catches one spider, the remaining population doubles.

So, if s represent the population of spiders, if Alex catches 1, then the population will become (s-1).

However, for every catch, the population doubles, so, the new population will be 2(s-1).

Therefore, we can write the following equation:

\(s_n=2(s_o-1)\)

Where s_n represents the new population and s_o represents the original population.

We know that there are now 194 spiders in Alex's house. We want to find the number of spiders in his house before he caught the last 2 spiders. So, let's solve for s_o twice.

Substitute 194 for s_n. Solve for s_o:

\(194=2(s_o-1)\)

Divide by 2:

\(97=s_o-1\\\Rightarrow s_o=98\)

Therefore, before catching the last spider, there were 98 spiders.

So, to find the number of spiders before the last 2, we will solve for s_0 again. This time, we will use 98 for s_n. So:

\(98=2(s_0-1)\)

Solve for s_o:

\(\Rightarrow 49=s_o-1\\\Rightarrow s_o=50\)

Therefore, there were 50 spiders in Alex's house before he caught the last 2 spiders given that the current population is 194 spiders.

Our answer is B.

Edit: Typo

Answer:

the answer is 50, or B.

Step-by-step explanation:

Use the app called socratic. It helps so much and im sure it will help with these problems also.

Let x = volume of 20% solution=0.2

Let y = volume of 30% solution=0.3

Equation of total volume:

x + y = 90

Equation of amount of acid:

Substitute into the second equation

Therefore 45 liters of 20% solution and 45 liters of 30% solution

Hence the volume of 20% acid = 45 litres

the volume of 30% acid = 45 litres

Answer:

Dear user,

Answer to your query is provided below

82300000 in scientific notation = 8.23 × 10^7.

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Answer:

8.23 * 10^7

Step-by-step explanation:

82,300,000

Scientific notation is of the form a * 10 ^b

The number  a must be between 1 and less than 10

Move the decimal 7 places to the left b is +7 since we moved to the left

8.23 * 10^7

Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Answer:

a and e

Step-by-step explanation:

got it right on homework

Answer:

it has to be 45.1.

Step-by-step explanation:

The reason why its 45.1 is because I added the equation all together including the negative number. I out that one in parentheses right next to the plus sign of 18.6. then added the last 2 numbers. and get 45.1. I'm not really good with stop by step explanations to be honest.

:(

Answer:

34100

Step-by-step explanation:

1705×2÷5

=682

682×100÷2

=38100