Hey, my sis can't register rn so I'm asking this question for her. She's learning PEMDAS and she was given 4 numbers, 18, 2, 3, and 4, and 3 symbols, ×, +, and ÷. She has to use PEMDAS and get to the number 12 at the end of it.

Answer:

it would be 170 it its 5 or over round up

Step-by-step explanation:

The equation of a straight line can be written if its slope and any one point lying on it is given. The  equation of the line for given slope and point is  (y - 3) = -1 / 7 × (x - 3). The correct answer is option B.

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

Given that,

The slope of the line = -1 / 7

The coordinate of the point on the line = (3,3)

The equation of a line having slope m and passing through a point (x₁, y₁) is given as,

(y - y₁) / (x - x₁) = m

Thus, the equation of the line for given slope and point is given as,

(y - 3) / (x - 3) = -1 / 7

=> (y - 3) = -1 / 7 × (x - 3)

Hence, the equation of the line for given slope and point is  (y - 3) = -1 / 7 × (x - 3).

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(a) To calculate the area surrounding the swimming pool, we need to consider the width of the cement around all sides of the pool. Since the cement has a uniform width of 4m on all sides, we need to add 4m to the length and width of the pool.

The length of the pool with the surrounding cement is 10m + 2(4m) = 10m + 8m = 18m.

The width of the pool with the surrounding cement is 5m + 2(4m) = 5m + 8m = 13m.

The area surrounding the swimming pool is the difference between the area of the larger rectangle (with the cement) and the area of the pool itself.

Area surrounding pool = Area of larger rectangle - Area of pool

= (18m) x (13m) - (10m) x (5m)

= 234m² - 50m²

= 184m².

(b) The cost to install the cement is determined by multiplying the area surrounding the pool by the cost per square meter, which is $50.

Cost to install cement = Area surrounding pool × Cost per square meter

= 184m² × $50/m²

= $9,200.

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Answer:

A

Step-by-step explanation:

The value of a² + 1/a² is 17 - 7.5√7.

To find the value of a² + 1/a², let's first simplify the expression for a.

Given: a = (3 + √7) / 2

Now, let's square both sides of the equation to eliminate the square root:

a² = [(3 + √7) / 2]²

= (3 + √7)² / 4

= (9 + 6√7 + 7) / 4

= (16 + 6√7) / 4

= 4 + (6√7) / 4

= 1 + (3√7) / 2

Next, let's find the reciprocal of a:

1/a = 1 / [(3 + √7) / 2]

= 2 / (3 + √7)

= [2 * (3 - √7)] / [(3 + √7) * (3 - √7)]

= [6 - 2√7] / (9 - 7)

= [6 - 2√7] / 2

= 3 - √7

Now, let's square both sides of the equation to find the value of 1/a²:

(1/a)² = (3 - √7)²

= 9 - 6√7 + 7

= 16 - 6√7

Finally, we can calculate the value of a² + 1/a²:

a² + 1/a² = (1 + (3√7) / 2) + (16 - 6√7)

= 1 + 16 + (3√7) / 2 - 6√7

= 17 - (3√7) / 2 - 6√7

= 17 - (15√7) / 2

= 17 - 7.5√7.

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Answer:

D. (A U C) ∩ B

Step-by-step explanation:

12.

A = {-2, -1, 0, 1}

B = {0, 1, 2, 3}

C = {-2, 0, 2, 4}

A. A U B = {-2, 1, 0 , 1, 2, 3}

B. A U (C ∩ B} = A U {0, 2} = {2, 1, 0, 1, 2}

C. B ∩ C = {0, 2}

D. (A U C) ∩ B = {-2, -1, 0, 1, 2, 4} ∩ {0, 1, 2, 3} = {0, 1, 2}

The truth value of Proposition 1, [A ⊃ ~(B · Y)] ≡ ~[B ⊃ (X · ~A)], is true when A and B are true, and X and Y are false.

First, we'll evaluate each part of the proposition:

1. A ⊃ ~(B · Y): Since A is true and B · Y is false (due to Y being false), the statement becomes "true ⊃ ~false", which simplifies to "true ⊃ true". This is true.

2. B ⊃ (X · ~A): Since B is true, X is false, and ~A is false, the statement becomes "true ⊃ (false · false)", which simplifies to "true ⊃ false". This is false.

Now, we'll evaluate the equivalence ([A ⊃ ~(B · Y)] ≡ ~[B ⊃ (X · ~A)]): The statement becomes "true ≡ ~false", which simplifies to "true ≡ true". Therefore, the truth value of Proposition 1 is true.

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Answer:

f=48

Step-by-step explanation:

Its correct good luck!

Answer:

44750

Step-by-step explanation:

The value of BD in the similar triangle is 4 units.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The triangles are similar .

Therefore, let's use the ratios of the similar triangle to find the side BD.

Let

BD = x

Therefore,

x / 6 = 6 / (5 + x)

cross multiply

x(x + 5) = 6 × 6

x² + 5x = 36

x² + 5x - 36 = 0

x² - 4x + 9x - 36 = 0

x(x - 4) + 9(x - 4) = 0

(x + 9)(x - 4) = 0

x = -9 or 4

Therefore, x(BD) can only be positive.

Hence,

BD = 4

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

$0.42

Step-by-step explanation:

3ton=6000pounds

2,520/6000=$0.42

Answer: 7

Step-by-step explanation: 42 divided by 6 is 7.

Answer:

\( m\angle BCA= 33\degree\)

Step-by-step explanation:

\( In\: \odot A\) BC is tangent to the circle at point B.

Therefore, by tangent-radius theorem:

\( \therefore AB\perp BC\)

\( \therefore \angle ABC = 90\degree \)

\( In\: \triangle ABC, \)

\( m\angle ABC +m\angle BAC +m\angle BCA= 180\degree \)

\( 90\degree+57\degree +m\angle BCA= 180\degree \)

\( 147\degree +m\angle BCA= 180\degree \)

\( m\angle BCA= 180\degree - 147\degree\)

\( m\angle BCA= 33\degree\)

Answer:

y = 2x − 6

Step-by-step explanation:

One way to simplify variables with many levels (or decimal places) when creating a frequency distribution is to organize the data into class intervals (option B).

By grouping the data into intervals, the frequency distribution becomes more manageable and easier to interpret. This process involves dividing the range of values into distinct intervals or categories and then counting the number of observations falling within each interval. Class intervals provide a summary of the data by grouping similar values together, reducing the complexity of individual levels or decimal places.

This simplification technique is particularly useful when dealing with large datasets or continuous variables that have numerous levels or decimal values, allowing for a clearer representation and analysis of the data.

Option B holds true.

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The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

A sphereical balloon is inflating with helium at a rate of \(128\pi ft^3/min\).The balloon's radius is increasing at a rate of 8 ft/min when the radius is 4 ft.

To find the rate at which the balloon's radius is increasing, we can use the relationship between the volume of a sphere and its radius. The volume of a sphere is given by the formula V = (4/3)πr³, where V is the volume and r is the radius.

We are given that the volume is increasing at a rate of 128π ft³/min. Taking the derivative of the volume formula with respect to time, we have dV/dt = 4πr²(dr/dt), where dV/dt represents the rate of change of volume and dr/dt represents the rate of change of the radius.

At the instant when the radius is 4 ft, we can substitute r = 4 into the equation. Solving for dr/dt, we have 128π = 4π(4)²(dr/dt), which simplifies to dr/dt = 8 ft/min.

Therefore, the balloon's radius is increasing at a rate of 8 ft/min when the radius is 4 ft.

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Answer: s + 22 is the answer.

Angles (4x + 4°) and (6x - 4°) are supplementary.

That is :

\(\hookrightarrow \: 4x + 4 \degree + 6x -4 \degree = 180 \degree\)

\(\hookrightarrow10x = 180 \degree\)

\(\hookrightarrow x = 18 \degree\)

__________________________

\( \mathrm{✌TeeNForeveR✌}\)

Answer: 68850

Step-by-step explanation:

interest = 765000(3/100x3)

= 68850

if your finding total cost add 765000 + 68850 = 833850

Answer:

(-11, 1)

Step-by-step explanation:

x-values are horizontal and y-values are vertical

so add -4 to -7 to get -11

add 0 to 1 to get 1

new point is at (-11,1)

Answer:

\(\bold{\sqrt{75}}\)

Step-by-step explanation:

Given

A \(\triangle GHJ\) in which

\(\angle GHJ = 90^\circ\)

Hypotenuse = 10

Length of another side = 5

To find:

HJ = ?

Solution:

Kindly refer to the image attached in the answer area.

We know that there are only 3 sides in a triangle.

We are given hypotenuse is 10.

i.e. GJ = 10

To find HJ, Base = ?

So, we are given the side length of GH, perpendicular i.e. 5.

Kindly refer to attached image for further details.

Let us use Pythagorean theorem here.

According to Pythagorean theorem:

\(\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow GJ^{2} = GH^{2} + HJ^{2}\\\Rightarrow 10^2=5^2+HJ^2\\\Rightarrow HJ = \sqrt{100-25}\\\Rightarrow \bold{HJ = \sqrt{75}}\)

Answer:

hJ = B     5 route 3

Step-by-step explanation:

got it right on edg 2020-2021

The simplification of the given radical is \(\sqrt{7} .5p\)  \(-5\sqrt{7}\)  \(\sqrt{7} .5p\)  \(930\sqrt{7}\)

A radical is a number which expresses the root of a number it is mostly square and cube root of a number.  The radical can also associated with equations, expressions and inequalities.

Given, the radical,

(p.181-182, p.186) \(\sqrt{7}5\)

To simplify this radical, first we have to do the scalar multiplication,

multiply each term in the brackets by \(\sqrt{7} .5\)

we get,

(\(\sqrt{7} }.5p\) \(\sqrt{7} .5(181-182)\) \(\sqrt{7} .5p\) \(\sqrt{7} .5(186)\))

Then simplify the each term we get,

(\(\sqrt{7} .5p\) \(-5\sqrt{7}\)\(\sqrt{7} .5p\)  \(930\sqrt{7}\))

Further it cannot be simplified.

Hence, the simplification of the given radical is \(\sqrt{7} .5p\)  \(-5\sqrt{7}\)  \(\sqrt{7} .5p\) \(930\sqrt{7}\)

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Answer:

X=-8,Y=-8.5

Step-by-step explanation:

just substitute the second equation into the first one where x is and solve for y. Then playe value of y in second equation and get x.

Step-by-step explanation:

you will plot -2 on the y axis and x axis is said to be 0.

so our coordinates would be (0,-2).

Answer:

S. 2

X. -18

F.  -20

H. 25

E. -31

B. 16

I. 17

R. 44

Step-by-step explanation:

Hope this helps.

The equation of the tangent line is y = 2x + 4.

Given:

f(x) = 4x + x^2 - 3........(1).

To find the equation of tangent line at point (-1.2).

Differentiating equation w.r.t. (x) we get,

f(x) = d/dx = (4x + x^2 - 3)

f'(x) = 4 + 2x

f'(x) at (-1, 2)

f'(x) = 4 + 2×(-1)

m = 2

The slop equation.

y = mx + b.

2 = 2(-1) + b

b = 4

Therefore, the equation of the tangent line in the slope y = 2x + 4.

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The equation of the tangent line is y = 2x + 4.

Given:

f(x) = 4x + x² - 3........(1).

To find the equation of tangent line at point (-1.2).

Differentiating equation w.r.t. (x) we get,

f(x) = d/dx = (4x + x² - 3)

f'(x) = 4 + 2x

f'(x) at (-1, 2)

f'(x) = 4 + 2×(-1)

m = 2

The slope equation.

y = mx + b.

2 = 2(-1) + b

b = 4

the equation of the tangent line in the slope intercept form y = mx +b is:

y = 2x + 4.

Therefore, the equation of the tangent line in the slope y = 2x + 4.

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