Simplify using the order of operations. 2+6*8=

Answer:

B 4.4

Step-by-step explanation:

There is 1 gallon in 3.7 liters so you would divide 16.5 by 3.7

The tank has a capacity of 58.90 liters of gas.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that the gas tank in Sharon’s car can hold up to 16.5 gal of gas

Since one  gallon is 4 quarts

Volume in quarts as:

16.5 gallons = 16.5 x 4 quarts = 66 quarts

So quarts = 0.946

66 quarts = 0.946 x 66 = 62.436

So Volume = 62.436q

Volume in liters as:

Given as one litre = 1.06qt

If one liter is 1.06, Then 62.436 will be = 62.436/1.06 = 58.90

The volume in liters of 58.90

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The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Answer:

I think there is 140 questions

Answer:

"0.250" is the appropriate answer.

Step-by-step explanation:

Given:

New car sample,

= 1453

Preferred foreign,

= 363

Now,

The amount of new automobile purchasers preferring foreign cars will be approximated as:

= \(\frac{363}{1453}\)

= \(0.250\)

Answer:

60 miles

Step-by-step explanation:

distance = speed x time

45 minutes = 0.75 hours

0.75 x 80 = 60

After calculating The perimeter of rectangle is 46.52 in the given rectangle.

What is area of rectangle?

area of rectangle can be defined as the product of length and breadth.

Given ,

A rectangle has a length 20 5 /6 and

breadth = 2 3/7

The perimeter of rectangle  = 2 (l+b)

length = (120 + 5 ) / 6 = 125/ 6

breadth = (14+3) / 7  = 17/7

perimeter  = 2 (125/6 + 17/7 )

= 2 ( (125*7 + 17 * 6) / 42 )

= 2 (875+102) / 42

= 2 * 23.26

= 46.52

Hence, after calculating The perimeter of rectangle is 46.52 in the given rectangle.

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Answer:

A parallel line has the same slope, but is translated away from the line it is parallel to. Let's create an equation using what we have:

−

1

=

−

3

(

−

2

)

+

b

−

1

=

6

+

b

−

7

=

b

y

=

−

3

x

−

7

Hope this helped!!

The required correct answer is (a) x-intercept is (-8,0) and the y-intercept is (0,8).

In the context of a linear equation, an intercept is a point where the graph of the equation crosses or intersects with one of the axes in a coordinate system. There are two types of intercepts:

Here,
To find the x-intercept, we set y = 0 in the equation y = x + 8 and solve for x:

0 = x + 8

x = -8

Therefore, the x-intercept is (-8, 0).

To find the y-intercept, we set x = 0 in the equation y = x + 8 and solve for y:

y = 0 + 8

y = 8

Therefore, the y-intercept is (0, 8).

So the correct answer is (a) the x-intercept is (-8,0) and the y-intercept is (0,8).

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Answer:

34

Step-by-step explanation:

4r² + 3s² - rs ← substitute r = - 1, s = 3 into the expression

= 4(- 1)² + 3(3)² - (- 1)(3)

= 4(1) + 3(9) - (- 3)

= 4 + 27 + 3

= 34

Answer:

Shorter side: 210

Longer side: 420

area: 88200

Step-by-step explanation:

work below

If you haven't learned derivatives yet just use the vertex formula

1. The probability of selecting a black marble is 5/12.

2. The probability of selecting a white marble is 3/12 or 1/4.

3. The probability of selecting a grey marble is 4/12 or 1/3.

4. The probability of selecting a white OR grey marble is 7/12.

a. There are 5 black marbles in the bag,

so the probability of selecting a black marble is 5/12.

b. There are 3 white marbles in the bag,

so the probability of selecting a white marble is 3/12 or 1/4.

c. There are 4 grey marbles in the bag,

so the probability of selecting a grey marble is 4/12 or 1/3.

d. The probability of selecting a white OR grey marble is

= 3/12 + 4/12

= 7/12.

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Answer:

Both boxes are 160

Step-by-step explanation:

I just took the quiz and got it right.

So

\(\\ \rm\Rrightarrow v=r\omega\)

\(\\ \rm\Rrightarrow r=\dfrac{v}{\omega}\)

\(\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\div\dfrac{34\pi}{3}=\dfrac{17\pi}{6}\times \dfrac{3}{34\pi}\)

\(\\ \rm\Rrightarrow r=\dfrac{1}{4}\)

\(\\ \rm\Rrightarrow r=0.25ft\)

Convert to ft

1 min=60s

Hence

So

\(\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\times \dfrac{1}{680\pi}[\)

\(\\ \rm\Rrightarrow r=\dfrac{1}{40}\)

\(\\ \rm\Rrightarrow r=0.025in\)

Convert to ft

None of the above

The radius of the smaller gear is 15 feet, Option C is correct.

Velocity is defined as the rate of change of distance of a body with respect to time

We can use the relationship between linear velocity and angular velocity for gears to solve this problem:

v = rω

where v is the linear velocity, r is the radius of the gear, and ω is the angular velocity.

We are given the linear velocity of the larger gear, which is 17π/6 inches per second.

v = 17π/6 inches per second

ω = (34π/3) / 60 radians per second

the radius of the smaller gear is:

r = v / ω

= (17π/6) / ((34π/3) / 60)

= 17π/6×60/(34π/3)

=17π/6×60×3/34π

= 1/6 ×60× 3/2

= 180/12

=15 feet

Hence,  the radius of the smaller gear is 15 feet.

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Answer:

The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.

Step-by-step explanation:

Answer:

Step-by-step explanation:

when (x,y) is rotated through 180 then new coordinates are (-x',-y')

G(6,4)→G'(-6,-4)

Answer: 1/ 3 ^9

Step-by-step explanation:

Answer:

1/39

Step-by-step explanation:

3-9=1/39

The answer is 0ne over three exponent nine

The prove of the given trigonometric function is given below.

The given trigonometric function is,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x))

Now proceed left hand side of the given expression:

We can write the expression  as,

⇒[(sin²(x))² - (cos²(x))²]/(sin²(x) - cos²(x))

Since we know that ,

Algebraic identity:

a² - b²  = (a-b)(a+b)

Therefore the above expression be

⇒(sin²(x) - cos²(x))(sin²(x) + cos²(x))/(sin²(x) - cos²(x))

⇒(sin²(x) + cos²(x))

Since we know that,

Trigonometric Identities come in handy when trigonometric functions are used in an expression or equation. Trigonometric identities hold for all values of variables on both sides of an equation. Geometrically, these identities include one or more trigonometric functions (such as sine, cosine, and tangent).

Then,

sin²(x) + cos²(x)² = 1 is an trigonometric identity

Hence,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x)) = 1

Hence proved.

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Answer: (1,2)(2,2)

Step-by-step explanation:

Answer:

Use calculator soup while i was in college i used it and it helped SOOO much

Step-by-step explanation:

Answer:

1464 square kilometers

Step-by-step explanation:

Understanding :

Year 6 :

Answer:\(-\frac{189}{208}\)

Step-by-step explanation:

Given

\(\sin x=\frac{8}{10}\)

x lies in the second quadrant where sin and cosec is positive and rest trigonometric functions are negative

so, \(\cos x=-\sqrt{1-sin ^2 x}\\\cos x=-\sqrt{1-(\frac{8}{10})^2}=-\sqrt{\frac{36}{100}}\\\cos x=-\sqrt{\frac{6}{10}}\)

\(\tan x=\frac{\sin x}{\cos x}=-\frac{4}{3}\)

similarly, \(\tan y=-\frac{12}{5}\)

Also, y lies in 4 th Quadrant where cos and sec is positive and rest trigonometric functions are negative

\(\sec y=\sqrt{1+\tan ^2y}=\sqrt{1+(-\frac{12}{5})^2}\\\sec y=\frac{13}{5}\\\cos y=\frac{5}{13}\\\sin y =\frac{\tan y}{\cos y}=-\frac{12}{13}\)

Now putting the values

=\(\dfrac{\cos x \cos y+\sin x\sin y}{\tan x-\tan y}=\dfrac{(\frac{-6}{10})(\frac{5}{13})+(\frac{8}{10})(\frac{-12}{13})}{(\frac{-8}{6})-(\frac{-12}{5})}\\\dfrac{\cos x \cos y+\sin x\sin y}{\tan x-\tan y}=\dfrac{\frac{-126}{130}}{\frac{16}{15}}=-\frac{189}{208}\)

Answer:

Step-by-step explanation:

500×30=15000

Step-by-step explanation:

2•4 =8

8/3 =2 2/3

answer : 3

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.

An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.

Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,

Sum = ( n - 2 ) 180°

Sum = ( 9 - 2 ) 180

Sum = 7 x 180

Sum = 1260°

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