How would you write 0.00568 in scientific notation?

Answer: y=[tex]\frac{-2}{3} x+6[/tex]

Step-by-step explanation: equation of line passing through (x1,y1) and (x2,y2) is given by

            y-y1=[tex]\frac{y2-y1}{x2-x1} (x-x1)[/tex]

              here (x1,y1)=(0,6) and (x2,y2)=(9,0)

            y-6=[tex]\frac{0-6}{9-0} (x-0)[/tex]

           y-6=[tex]\frac{-2}{3} x[/tex]

            y=[tex]\frac{-2}{3} x+6[/tex]

Answer:

A right triangle has legs that are 10.1 inches and 12.2 inches long. What is the approximate length of the hypotenuse?

6.8 inches

15.8 inches

22.3 inches

125.5 inches

B. 15.8 inches  is the correct option

The required standard form of the polynomial is -g³ + 3g² + 4g - 2.

To write the polynomial in standard form 4g – g3 + 3g2 – 2

the equation is the relationship between variables and is represented as y =ax + c   is an example of a polynomial equation.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

The standard form of the polynomial equation is written equation is descending order of the exponents of the variable.
= 4g – g3 + 3g2 – 2

=  -g³ + 3g² + 4g - 2./

Thus, the required standard form of the polynomial is -g³ + 3g² + 4g - 2.

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The side that is parallel to side s is side q. The equation of side q is: y = -x + 9.

We can represent the equation of a line as, y = mx + b, where m is the slope of the line and b is the y-intercept.

The side that is parallel to side s is q.

Slope (m) of q = change in y / change in x = (6 - 3) / (3 - 6) = 3/-3 = -1.

Substitute m = -1 and (3, 6) = (a, b) into y - b = m(x - a):

y - 6 = -1(x - 3)

y - 6 = -x + 3

y = -x + 3 + 6

y = -x + 9

Equation of the side that is parallel to side s is: y = -x + 9.

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The equation of the function is  , g(x) =  5x -10 ,  Option B is the right answer.

A function is a mathematical representation of an independent variable and a dependent variable.

The given function is

f(x) = 5x

As the y intercept is shifting from (0 ,1) to (0,-9)

therefore the function is translating 10 points down

therefore the equation of the function is

g(x) =  5x -10

Therefore Option B is the right answer.

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Answer:

35

Step-by-step explanation:

The volume of a pyramid with a base area of 15 square inches and a height of 7 inches is 35 cubic inches.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Suppose the base of the pyramid has length = L units and width = W units, slant height = K units, and the height of the pyramid is of H units.

Then the volume of the pyramid will be

V = (L × B × H) / 3

V = (Base area x H) / 3

The volume of a pyramid varies jointly with the base area of the pyramid and its height.

The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches.

Then the volume of a pyramid with a base area of 15 square inches and a height of 7 inches will be

V = (15 x 7) / 3

V = 35 cubic inches

Hence, the volume of a pyramid with a base area of 15 square inches and a height of 7 inches is 35 cubic inches.

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Answer:

The factored form is

[tex]x^2-7x+2x-14=(x+2)(x-7)[/tex]

Step-by-step explanation:

Given the trinomial

[tex]x^2-5x-14[/tex]

we have to factor the above trinomial.

[tex]x^2-5x-14[/tex]

By middle term splitting method

[tex]x^2-7x+2x-14[/tex]

Taking x common from first two terms and 2 from last two terms

[tex]x(x-7)+2(x-7)[/tex]

[tex](x+2)(x-7)[/tex]

which are required factors.

Hence, option B is correct.

Answer:

471 ft.

Step-by-step explanation:

The distance between the two points is approximately 29.70 m. The polar coordinates of the points are approximately (24.20 m, 1.46 radians).

To find the distance between two points in the Cartesian coordinate plane, we can use the distance formula.

The distance between the points (2.00, 24.00) m and (23.00, 3.00) m is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values, we get:

d = sqrt((23.00 - 2.00)^2 + (3.00 - 24.00)^2)

d = sqrt(441 + 441)

d = sqrt(882)

d ≈ 29.70 m

The polar coordinates of a point (x, y) can be found using the formulas:

r = sqrt(x^2 + y^2)

p = atan2(y, x)

Plugging in the values, we get:

r = sqrt(2.00^2 + 24.00^2)

p = atan2(24.00, 2.00)

r ≈ 24.20 m

p ≈ 1.46 radians

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Answer:

C.

Step-by-step explanation:

10^-7 = 0.0000001

when the number is a decimal the power is a negative number

for scientific notation you want a whole number multiplied by 10 to a power

 so since D is a decimal ( 0.33) that is not scientific notation

its 69---------------------------------

The volume the hemisphere is 56. 55 cubic feet

what is the volume of the hemisphere ?

The volume of a hemisphere is the space occupied by the hemisphere.

Formula used to find volume of  the hemisphere is :

V = 2/3 × π × r ^3

Given : diameter = 6 feet

r = d/2 = 3 feet

V = 2/3 × π × 3 ^3

⇒ 2/3 × 22/7 × 27

V = 56.5486 cubic feet

round off to nearest hundredth is :

V = 56. 55 cubic feet

Hence , the volume of hemisphere is 56. 55 cubic feet .

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Answer:

[-8,2]

Step-by-step explanation:

We are given that the function f(x) is transformed to the function g(x), where,

[tex]f(x) =-5 \cos 2x[/tex] and [tex]g(x) =-5 \cos 2x-3[/tex].

Since, the range of [tex]\cos x[/tex] is [-1,1].

Thus, the range of [tex]a\cos bx[/tex] is {-a,a].

So, the range of [tex]f(x) =-5 \cos 2x[/tex] is [-5,5].

As, we are translating the function f(x) 3 units downward to get g(x).

The graph of the function is shifted 3 units down.

So, the range of g(x) will be [-5-3,5-3] = [-8,2].

Hence, the range of [tex]g(x) =-5 \cos 2x-3[/tex] is [-8,2].

A conditional statement that correctly describes each Venn diagram include the following;

I. If m∠A = 40, then it represent acute angles.

II. If 2x = 4, then x is equal to 2.

In Mathematics, a conditional statement is a type of statement that can be written to have both a hypothesis and conclusion. This ultimately implies that, a conditional statement typically has the form "if P then Q."

Where:

P and Q represent sentences or statements.

Part I.

Based on the Venn diagram shown in the image above, we can logically deduce the following conditional statement;

"If m∠A = 40, then it represent acute angles."

All acute angles are less than 90 degrees.

Part I.

Based on the Venn diagram shown in the image above, a conditional statement that correctly describes it can be written as follows;

"If 2x = 4, then x is equal to 2."

Proof:

2x = 4

x = 4/2

x = 2

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