Solve for x.
3x+2
70°

Answer:

The most important lab safety rule is to know the location of and how to use safety equipment, such as a fire extinguisher.

Step-by-step explanation:

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Answer:

82.1

Step-by-step explanation:

So the circumference of the whole circle is 46π.

A quarter of that is 11.5π.

11.5π ≈ 36.1283155163

Simplify that to 1 decimal point: 36.1

Then you add 46 to that.

36.1 + 46 = 82.1

The given expression is √- 4. It can be written as

√4 * √- 1

Recall, √- 1 = i

It becomes

√4 * i

= i√4

Recall, √4 = 2. It becomes

i * 2

= 2i

Options A and C are correct

Answer:

it would take 6 mins

Step-by-step explanation:

Answer:   43 messages

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

21.90/146=.15

6.45/.15=43

Answer:

4/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 3 is 3.

12 ÷ 33 ÷ 3.

Reduced fraction: 41. Therefore, 12/3 simplified to lowest terms is 4/1.

Answer:

i think you divide 12/3 and you get the answer of 4

Step-by-step explanation:

Answer:

4644

Step-by-step explanation:

The statement X = Y + Yxy is True.

The equation given is:

X = Y + Yxy

To find x = (X- Y) / Yy we have to substitute the value of x in X = Y + Yxy as

X = Y + Yxy

X = Y + Yy (X-Y) / Yy

To solve for x, we can rearrange the equation as:
X = Y +  X - Y

X = X

Thus, the statement is True.

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Answer:

35

Explaination:

This problem can be represented by the equation: (7/3)=(x/15) Then solve for x, which is 35.

Amul can paint 35 chairs   in 15 hours

Let the number of chairs Amal can paint be represented as N

And amount of time she spends painting be represented as t

such that

The number of chairs Amal can paint varies directly with the amount of time she spends painting will be expressed as

N∝t

Introducing the constant of proportionality,K becomes

N=Kt

Amal can paint 7 chairs in 3 hours.K becomes

N=Kt

7=K3

K=7/3

Now if Amul paint in 15 hours, she would paint

N=Kt

N=7/3 X 15

N=35 Chairs

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Answer:

n=6

Step-by-step explanation:

Угол многоугольника  2х, смежного угла  х.

2х+х=180.

3х=180.

х=60° .

Углы многоугольника  120°.

Формула углов правильного многоугольника.

аₙ=(n-2)/n * 180.

120=(n-2)/n *180.  после преобразования

3(n-2)=2n.

n=6.

Answer: n=6.

Step-by-step explanation:

The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

The correlation coefficient (r) is calculated as:

\(r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}\)

Using the given parameters, we have:

\(r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}\)

Evaluate the exponents

\(r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}\)

Evaluate the products

\(r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}\)

Evaluate the differences

\(r = \frac{19168}{\sqrt{[396411*3264}}\)

Evaluate the product

\(r = \frac{19168}{\sqrt{1293885504}}\)

Evaluate the root

\(r = \frac{19168}{35970.6}\)

Evaluate the quotient

\(r = 0.53\)

Hence, the correlation coefficient is 0.53

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1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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Answer:

x = 17

Area = 10,362units²

Step-by-step explanation

Given the sides of the triangle

S1 = 9x+4

s2 = 8x-4

S3 = 4x+17

Perimeter of the triangle is the sum of all the sides

P = S1+S2+S3

374 = 9x+4+8x-4+4x+17

374 = 21x+17

21x = 374-17

21x = 357

x = 357/21

x = 17

Hence the value of x is 17

Area of the triangle is 1/2bh

A = 1/2bh

b is the base

h is the height

Let the base be 9x + 4 and height be 8x-4

b = 9x+4

b = 9(17)+4

b = 153+4

b = 157units

h = 8x-4

h =8(17)-4

h = 136-4

h = 132

Area = 1/2 * 157 * 132

Area = 157*66

Area = 10,362units²

The number of points gained overall by Julia playing the game is 30 point

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

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

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

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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Answer:

-5x + 4y = -11.

Step-by-step explanation:

If it's a circle then it must be x^2 not x.

x^2 + y^2 + 4x - 10y = 12

Using implicit differentiation:

2x + 2y y' + 4 - 10 y' = 0

y'( 2y - 10) = -2x - 4

y' = (-2x - 4)/(2y - 10)

y' = (-x - 2) / (y - 5) = the slope of the tangent.

At  (3, 1),  y' = (-3-2) / (1 - 5)

=  5/4.

So the required equation is

y - y1 = 5/4(x - x1)  where x1 = 3 and y1 = 1.

y - 1 = 5/4(x - 3)

y = 5/4(x - 3) + 1

Multiply through by 4:

4y = 5(x - 3) + 4

4y = 5x - 15 + 4

In standard form the equation is:

-5x + 4y = -11.

Answer:

B

Step-by-step explanation:

Got it right on the test

(B) \(\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))\)

De Moivre's theorem: \(z=r*[cos(\)θ\()+i*sin(\)θ\()}\)\(]\)

Raising both sides to the \(n^{th}\) - \(z^{n} =r^{n} *[cos(n*\)θ\()+i*sin(n*\)θ\()]\)

The square root operation undoes the squaring operation, so we'll be dealing with \(n=2\).

If you were to go with each choice, then you'll find that squaring choice (B) will lead to the original expression given.

\(z=\sqrt{3} *[cos(\frac{\pi }{4} )+i*sin(\frac{\pi }{4} )]\\z^{2} =(\sqrt{3} )*[cos(2*\frac{\pi }{4} )+i*(2*\frac{\pi }{4} )]\\z^{2} =3*[cos(\frac{\pi }{2})+i*sin(\frac{\pi }{2} )]\)

Therefore, the correct answer to the question is (B) \(\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))\).

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Answer:

Your answer will be one

Step-by-step explanation:

Answer:

\(\frac{2}{3} \ part \ of \ right \ angle \ is \ \frac{1}{6} \ part \ of \ a \ whole \ wheel.\)

Step-by-step explanation:

\(\frac{2}{3} \ of \ a \ right \ angle \ = \frac{2}{3} \times 90^{\circ} = 60^{ \circ}\\\\A \ whole \ wheel \ is \ = 360^ {\circ}\\\\\)

Now to find what part of 360 is 60 :

\(Let \ it \ be \ x\\\\x \times 360 = 60 \\\\x = \frac{60}{360} = \frac{1}{6}\)

Therefore ,

          \(\frac{2}{3} \ part \ of \ right \ angle \ is \ \frac{1}{6} \ part \ of \ a \ whole \ wheel.\)

The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.

The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.

If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).

Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.

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Answer:

The probability that the company will receive 7 property damage claims on a randomly selected day is 0.137

Step-by-step explanation:

Given,

\(\lambda=6\),

The probability mass function of Poisson distribution is used for evaluating the probability of the company will receive 7 property damages claims on any selected day is,

\(\begin{aligned}P(X=K)&=e^{-6} \times \dfrac{6^7}{7!}\\&=0.002478\times\dfrac{279936}{5040}\\&=\dfrac{693.89136}{5040}\\P(X=7)&=0.1365927874\\P(X=7)&=0.137\; (\rm{rounded \;off})\end{aligned}\)

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Answer:

\(a_{n} = -3n + 10\)

Step-by-step explanation:

The arithmentic function formula is:

\(a_{n} = a_{1} + d(n-1)\)

Let's plug in what we know. \(a_{1}\) (the first term in our sequence) is 7. d (the common difference) is -3. This means we are subtracting 3 every time.

Plugging that in to the formula, we get

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

Now we distribute and combine like terms.

\(a_{n} = 7 - 3n +3\)

\(a_{n} = 10 - 3n\)

Change the order to fit the format and you get

\(a_{n} = -3n + 10\)

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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Answer:

f= G×A/2

Step-by-step explanation:

\(\sf{}\)

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2/3 + 2/9 =

6/9 + 2/9 = 8/9

#First, make the number at the bottom fraction same first. Since 3 can be 9 by multiplying 3 with 3 so we can choose 9.

#Mulitply 2 which is at the top of number 3 with 3 also to be fair. So 2×3 = 6 and write the final 6/9.

Answer: To calculate the decrease in value of Samir's digger after 10000 hours, we need to determine its value at the end of each year, taking into account the yearly depreciation of 18%.

Here's the calculation for the first year:

Value at the end of Year 1 = £35950 - (£35950 * 18%) = £29576

And for the second year:

Value at the end of Year 2 = £29576 - (£29576 * 18%) = £24480.48

And so on, until we reach 10000 hours. To determine the exact value after 10000 hours, we would need to perform the calculation for each year until we reach the total number of hours used. However, this calculation would involve multiple steps and can become quite complex. A simpler way to estimate the decrease in value would be to use the concept of present value.