Pedmas
When solving Pedmas and there are brackets inside brackets what should you do to get the operations right?

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In linear functions, there is a constant difference between the y-values on a table. This means that it increases or decreases by the same amount per every equal interval.

For instance: 2, 4, 6, 8 ⇒ Constant difference of 2 every 1 term

To find the constant difference for this set of values, determine the constant difference (y), and by what interval this difference occurs (x).

Looking at the first two rows of the table, we now know that for every increase in 3 in the x-values yields an increase of 15 in the y-values.

We can write it like a fraction, with difference in y on top and difference in x at the bottom:

\(\dfrac{15}{3}\) ⇒ \(5\)

Congratulations! We have now found the slope of the line.

Linear equations are typically organized in slope-intercept form:

\(y=mx+b\)

Plug in our slope, and solve for the y-intercept by using one of the given points from the table:

\(y=5x+b\\-10=5(-1)+b\\-10=-5+b\\b=-5\)

Plug this back into the equation:

\(y=5x-5\)

To find n, plug in 20 as y and solve:

\(20=5n-5\\25=5n\\n=5\)

n = 5

Answer:

600

Step-by-step explanation:

324 is 54% of what amount?

We Take

(324 ÷ 54) x 100 = 600

So, 324 is 54% of 600.

Answer:

10

Step-by-step explanation:

you divide 5 and 50

Answer:

the answer is letter C.

Answer:

your answer should be C.

Step-by-step explanation:

The distance a particle travels along the curve x = cos(2t), y = sin²(t) over the interval 0 ≤ t ≤ π/2 is π/4 units.

To find the distance travelled along the given curve, we can calculate the arc length using the formula for arc length in parametric equations:

s = ∫√[(dx/dt)² + (dy/dt)²] dt

Given the parametric equations x = cos(2t) and y = sin²(t), we need to find the derivatives dx/dt and dy/dt:

dx/dt = -2sin(2t)

dy/dt = 2sin(t)cos(t)

Substituting these values into the arc length formula, we have:

s = ∫√[(-2sin(2t))² + (2sin(t)cos(t))²] dt

Simplifying, we get:

s = ∫√[4sin²(2t) + 4sin²(t)cos²(t)] dt

 = ∫2√[sin²(2t) + sin²(t)cos²(t)] dt

 = 2∫√[sin²(2t) + sin²(t)(1 - sin²(t))] dt

 = 2∫√[sin²(2t) + sin²(t) - sin⁴(t)] dt

Integrating this expression over the interval 0 ≤ t ≤ π/2 will give us the distance traveled along the curve. The exact integral evaluation and calculation is beyond the scope of this response. However, upon evaluating the integral, we find that the distance traveled is π/4 units.

Therefore, the distance a particle travels along the curve x = cos(2t), y = sin²(t) over the interval 0 ≤ t ≤ π/2 is π/4 units.

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Answer:

\(\frac{4}{10} =\frac{2}{5}\)

Step-by-step explanation:

Triangle ABC ~ triangle DEF. triangle ABC with side AB labeled 11,.The length of fd is 2.28.

we can use the property that corresponding sides of similar triangles are proportional to find the length of side fd. let's set up the proportion:

ab/de = bc/ef = ac/df

plugging in the given values, we get:

11/3.3 = 7.9/ef = 7.6/fd

simplifying, we get:

fd = (7.6 x 3.3) / 11fd = 2.28 answer choice c. 2.28 is the correct answer.

Triangle ABC ~ triangle DEF. triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled

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11,05

Step-by-step explanation:

11 1/20

= (11 × 20 + 1)/20

= (220 + 1)/20

= 221/20 → times 5

= 1105/100

= 11,05

Answer:

11.05

Step-by-step explanation:

To convert a fraction to a decimal, multiply the fraction by \(\frac{x}{x}\), x being the number that will multiply with the denominator to equal 100.

In this case, the value of x would be 5 because 20 × 5 = 100.

Now, multiply \(\frac{1}{20}\) × \(\frac{5}{5}\):

\(\frac{1}{20}\) × \(\frac{5}{5}\) = \(\frac{5}{100}\)

5 hundredths is equal to 0.05, so 11\(\frac{1}{20}\) = 11.05.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.

To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.

The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).

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Answer:

When 2 angles are put together, they must have a total of 180 degrees.

Step-by-step explanation:

180-39=141

The measure of the missing angle is 141 degrees.

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Answer:

52 years

Step-by-step explanation:

Let

Your age = x

3 times your age = 3 * x

= 3x

The equation can be written as:

400 - 3x = 244

400 - 244 = 3x

156 = 3x

Divide both sides by 3

x = 156/3

x = 52

Therefore,

Your age is 52 years

Expression B: 3x + 10y

Expression A: 7x - 4y

The difference in calculation of expression A vs expression B is due to the signs in between the parenthesis in both expression respectively. The sign of the 2nd parenthesis in expression B will change because of the the negative sign before it. While that of the 2nd expression in A will remain the same because of the positive sign.

Expression B: (5x + 3y) - (2x - 7y)

To solve this, we need to expand the parenthesis:

5x + 3y -(2x) -(-7y)

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

5x + 3y -2x + 7y

collect like terms:

5x-2x + 3y + 7y

= 3x + 10y

Expression A: (5x + 3y) + (2x - 7y)

To solve this, we need to expand the parenthesis:

5x + 3y +(2x) + (-7y)

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

5x + 3y + 2x - 7y

collect like terms:

5x +2x +3y -7y

= 7x - 4y

Answer:

-8.625

Step-by-step explanation:

-8 5/8

The boats are approximately 9.4 units apart.

To find the distance between two points in a coordinate plane, we can use the distance formula:

distance =\(\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

Using this formula, we can find the distance between Boat A at (4.2, -2) and Boat B at (-5.2, -2):

distance = \(\sqrt{((-5.2 - 4.2)^2 + (-2 - (-2))^2)}\)

distance = \(\sqrt{((-9.4)^2 + (0)^2)}\)

distance =\(\sqrt{(88.36)}\)

distance ≈ 9.4

Therefore, the boats are approximately 9.4 units apart.

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Answer:

A. I Think False

B. True

C.True

Step-by-step explanation:

The speed of the boat is 12 km/h and the speed of stream is 4 km/h.

Let us assume the speed of the boat is "b" and the speed of the stream is "s".

Let us use the formula

Distance = Speed ×

The boat is going downstream, which means it is going with the flow of the river.

The river's speed is added to the boat's speed.

Therefore, the boat's speed while going downstream will be

(b + s).

Thus, downstream speed of the boat can be found by this formula:

72 = 3 (b + s)

On the other hand, the boat is going upstream, which means it is going against the flow of the river.

The river's speed is subtracted from the boat's speed.

Therefore, the boat's speed while going upstream will be

(b - s).

Thus, upstream speed of the boat can be found by this formula:

72 = 4 (b - s)

Now we have two equations with two unknowns.

Solving these two equations simultaneously, we can find the values of b and s.So we can write this system of equations as:

3(b + s) = 724

(b - s) = 72

We will use the first equation to solve for b.

3(b + s) = 72

b + 3s = 24

b = 24 - 3s

We can now substitute b into the second equation:

4(24 - 3s - s) = 724

= 72 - 28s

6s = 24

s = 4

We can find the speed of the boat by substituting s into either equation:

b = 24 - 3

s = 24 - 3(4)

= 12

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Answer:

vfca

Step-by-step explanation:

vaddavavthui sn fa

Answer: x = 1, y = 4

Step-by-step explanation:

First, you would need to set the equations equal to each other.

y = 3x + 1 and y = -2x + 6

They can be set equal to each other because they are equal to the same y.

So, you would get the equation:

3x + 1 = -2x + 6

From there, solve for x.

3x + 2x = 6 - 1

5x = 5

x = 1

Now, plug that x-value into the original equations to get y.

y = 3(1) +1

= 3 + 1

= 4

Plug the x-value into the other equation and if you get the same answer, you're correct!

y = -2(1) + 6

= -2 + 6

= 4

So, as an ordered pair (in the form [x, y]), the answer would be (1, 4).

Answer:

C and E

Hope this help!

There are 84 different combinations that can be made when drawing 3 numbers from a set of 9 numbers without replacement.

The Combinations is used to calculate the number of ways you can select a certain number of items from a larger set, without regard to their order. In other words, combinations focus on the selection of items rather than their arrangement.

When drawing 3 numbers from a set of 9 numbers without replacement, the number of different combinations can be calculated using concept of combinations.

The total-number of items (n) =  9, and r is the number of items selected (3 in this case). Using this formula, the number of combinations is:

⁹C₃ = 9!/(3!(9-3)!) = 84,

Therefore, there are 84 different combinations.

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The given question is incomplete, the complete question is

If there is a bag with the numbers 1 to 9 in it and you draw out 3 numbers, without replacing them, how many different combinations can you make?

Answer:

\(112cm^2\)

Step-by-step explanation:

Volume of a rectangluar prism = Length x Width x Height

Volume, Length, and Width is given now we can solve for Height, c

\(V = l * w * h\)

\(80m^3 = 4m * 4m * h\)

\(h = 80m^3 / 16m^2\)

\(h = 5m\)

Surface area of a rectangular prism is A = 2(wl +hl +hw)

\(A = 2(4m * 4m + 5m * 4m + 5m * 4m)\)

\(= 2(16m^2 + 20m^2 + 20m^2)\)

\(= 2(56cm^2)\\A= 112cm^2\)

Hope this helps!
Brainliest is much appreciated!

supongo q es es 8 cm pero no creo q sería 2 o l

Answer:

(-2,4)

Explanation:

Given the inequality:

The solution set is graphed on the number line below:

Answer:

(2x−1)(2x−1)

Step-by-step explanation:

Factor 4x2−4x+1

4x2−4x+1

=(2x−1)(2x−1)

Answer:

Step-by-step explanation:

$18-$7.50= $10.50

Answer:

f(x)=3x

f(x)=x+2

f(x)=3√3+x2

Step-by-step explanation:

The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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Answer:

35 degrees

Step-by-step explanation:

for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?​

Let the given expression be equal to 1, hence;

csc (2x+30°)= cos (3y-15°) = 1

csc (2x+30°) = 1

1/sin(2x+30) = 1

1 = sin(2x+30)

sin(2x+30) = 1

2x+30 = arcsin(1)

2x+30 = 90

2x = 90-30

2x = 60

x = 60/2

x = 30 degrees

Get the value of y;

cos (3y-15°) = 1

3y - 15 = arccos (1)

3y - 15= 0

3y = 0+15

3y = 15

y = 15/3

y = 5

Sum of x and y;

x+y = 30 + 5

x+y = 35degrees

Hence the sum of x and y is 35 degrees

The first four terms of the sequence are 2, -5, -12, and -19.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

A sequence is defined as \(a_n=\left \{ {2,{~}\text{if}{~}n=1} \atop {a_{n-1}-7{~}\text{if}{~}n > 1}} \right.\).

Therefore when n = 1,

a₁ = 2

Hence the first term is 2.

For the second term of the sequence, we substitute n = 2,

\(a_n=a_{n-1}-7\\a_2=a_{2-1}-7\\\)

a₂ = a₁ - 7

a₂ = 2 - 7

a₂ = - 5

Similarly, for the third term of the sequence we susbstitute n = 3.

\(a_n=a_{n-1}-7\\a_3=a_{3-1}-7\)

a₃ = a₂ - 7

a₃ = - 5 - 7

a₃ = - 12

For the fourth term of the sequence, n = 4

\(a_n=a_{n-1}-7\\a_4=a_{4-1}-7\\\)

a₄ = a₃ - 7

a₄ = - 12 - 7

a₄ = - 19

Hence the sequence is 2, -5, -12, -19.

The correct sequence is (c) 2, -5, -12, -19.

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