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Answer:

correct answer is d. 0.50 per pound

explanation-

equation of line is y=mx+c

where c is the point where the line intersects y axis. (0,0) in this case.

and m is the slope, which we need to find.

from the graph, when x=2, y=1. putting in above equation

1=2m+0

implies m=0.5

Answer:

$. 50 per pound

Step-by-step explanation:

We need to find the slope

We have two points (0,0) and (2,1.00)

m = (1-0)/(2-0)

  =1/2

 =.50

$. 50 per pound

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.

Mean = Σx / n = 1086000 / 8 = 135750

Median = 1/2(n+1)th term = 8000

The lower quartile :

Q1 = 1/4(n+1)th term

Q1 = 8000

Q3 = 3/4 (n+1)th term

Q3 = 18500

IQR = 18500 - 8000 = 10500

OUTLIER :

8000 - (1.5*(10500)) = - 7750

18500 + (1.5*(10500)) = 34250

10% trimmed mean

10% * 8

Cut off 1 from the top and bottom

Data becomes : 8000, 8000, 11000, 15000, 17000, 20000

Trimmed mean = 13166

Answer:

The amount of yellow tint would be 33.84%

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i think so

Answer:

D

Step-by-step explanation:

Pitágoras

A^2 = B^2 + C^2

A^2 = 14^2 +5^2

A^2 = 196 + 25

A = √221

Given:

The conic equation is:

[tex]2x^2+Cy^2+3x+5y+1=0[/tex]

To find:

The value of C such that the given conic equation make a parabola.

Solution:

The general for of conic equation is:

[tex]Ax^2+Cy^2+Dx+Ey+F=0[/tex]

This equation represents a parabola is either A=0 or C=0 but not both equal to zero.

The given equation is:

[tex]2x^2+Cy^2+3x+5y+1=0[/tex]

Here, coefficient of [tex]x^2[/tex] is A=2 and coefficient of [tec]y^2[/tex] is C.

Since A is not equal to 0, therefore C must be equal to 0 to form a parabola.

Therefore, the only value of C is 0.

Answer:

A) 923.6m^3

Step-by-step explanation:

[tex]V=\pi r^{2} h\\V=\pi 7^{2} 6\\V=923.6[/tex]

Answer:

10x^3 + x - 1

Step-by-step explanation:

(6x^3 -7x - 4) + (4x^3 + 8x + 3)

Combine like terms

6x^3 + 4x^3 = 10x^3

Combine like terms

-7x + 8x = x

Combine like terms

-4 + 3 = -1

Combine the results of the terms

10x^3 + x - 1

Answer:

The answer is below

Step-by-step explanation:

A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.

In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.

a) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 5(3) = 15

u² = h² + b² = 15 + 3² = 24

u = √24

b) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 4(2) = 8

h = √8

c) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 7(7) = 49

h = 7

u² = h² + b² = 7² + 7² = 98

u = √98

t² = h² + a² = 7² + 7²

t = √98

Answer:

tan B =  12 /5

sin B =  12/13

cos B =  5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp/ adj = 12 /5

sin B = opp/hyp = 12/13

cos B = adj/hyp = 5/13

Answer:

Sine of B = 12/13

Cos of B = 5/13

Tan of B = 12/5

Step-by-step explanation:

In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Answer:

The appropriate answer is "0.437".

Step-by-step explanation:

Given:

P(rain) = 0.14

then,

P(no-rain) = 1-P(rain)

                 = 1-0.14

                 = 0.86

P(delay) = 0.16

P(rain and on time) = 0.79

then,

By using the conditional probability, we get

⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]

or,

⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]

By substituting the values, we get

⇒                             [tex]=\frac{0.07}{0.16}[/tex]

⇒                             [tex]=0.437[/tex]  

Answer:

f(3) = 326

Step-by-step explanation:

Given the function

f(n)=f(n-1)^2+2

If f(1) = 4

f(2) = f(1)^2 + 2

f(2) = 4^2 + 2

f(2) = 16 + 2

f(2) = 18

f(3) = f(2)^2 + 2

f(3) = 18^2 + 2

f(3) = 324 + 2

f(3) = 326

Answer:

y=6

Step-by-step explanation:

Let us start with the general equation of a line, y=mx+b. m represents the slope of the line, b represents the y intercept, and the y and x represents the values of the coordinate that the line passes through.

In this case, we know our line is parallel to y=-3, thus it has the same slope as it. Notice that in y=-3, there is no x. Therefore, the slope must be 0!

We now have equation:

[tex]y=0x+b[/tex]

Let us plug in the coordinate it passes through (2,6), to solve for b.

[tex]6=0*2+b\\6=b\\[/tex]

Now we have everything! Let us write the equation of the line now.

[tex]y=6[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

36

Step-by-step explanation:

Least Common Multiple of 9 and 12

Factor each into prime factor

9 = 3  * 3

12 = 2 * 2 * 3

LCM is the greatest number of different prime factors from each

LCM = 3 * 3 * 2 * 2

LCM = 36

Answer:

36 hotdogs

Step-by-step explanation:

36 ÷ 9 = 4

36 ÷ 12 = 3

Hope this helps!

-kiniwih426

Answer:

third one

Step-by-step explanation:

l 3q-2 l = 7

drop absolute value symbols and set up two equations

3q - 2 = 7    or   3q - 2 = -7

3q = 9                3q = -5

q = 3                     q = [tex]\frac{-5}{3}[/tex]

Answer:

3q-2=7

The two will move other side of equal sign from - 2 to +2

3q=7+2

3q=9

/3 in both side

q=3

Answer:

The angle of projection is 36.86 degree.

Step-by-step explanation:

speed, u = 100 ft/ s

range, R = 300 ft

Use the formula of range

[tex]R = \frac{u^2 sin2\theta}{g}\\\\300 =\frac{100\times 100 sin2\theta}{32}\\\\sin2\theta =0.96\\\\2\theta =73.74^o\\\\\theta = 36.86^o[/tex]

Answer:

The blue 2 on the left is 10 times the value of the orange 2 on the right.

Step-by-step explanation:

Step-by-step explanation:

Hey there!

According to the question;

Mass of an object (m) = 630 kg

Volume of an object (v) = 7m³

We know that;

[tex]density = \frac{mass(kg) \: }{volume( {m}^{3} )} [/tex]

or, density = (630/7) kg/m³

Therefore, density of the substance is 90kg/m².

Hope it helps!

Answer: Quadrant 3

============================================================

Explanation:

pi radians = 180 degrees

If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.

Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.

Answer:

225[tex]\pi[/tex]

or 706.86 rounded

Step-by-step explanation:

area of a circle is  [tex]\pi r^{2}[/tex](r=radius)

[tex]\pi r^{2}[/tex]

[tex]\pi 15^{2}[/tex]

[tex]\pi 225[/tex]

=225[tex]\pi[/tex]

Answer: [tex]0.00005[/tex]

Step-by-step explanation:

Given

The probability that a certain component in a communication satellite fails is 0.005.

There is an independent backup system, and the probability that is fails is 0.01

The probability that both the system fails is given by

[tex]\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005[/tex]

Answer and explanation:

Answer:

Two sample t test

Explanation:

The test that could be used here is the two sample t test. The two sample t test compares two groups to ascertain if there is an average significant different between the two groups being compared, also making sure the result of difference is not random. For instance to test the above example, the two sample t test compares the group before they watch the commercial with the group after the commercial to know if there is a significant difference between the two groups.

Answer:

We want to expand the expression:

[tex](x - \frac{1}{x^2} )^4[/tex]

We can just do it by brute force, this is:

First, rewrite our expression as the product of two square factors:

[tex](x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2[/tex]

Now we can expand each one these two factors:

[tex](x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}[/tex]

That can be simplified to

[tex]x^2 - \frac{2}{x} + \frac{1}{x^4}[/tex]

Now we can replace that in our original expression to get:

[tex](x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})[/tex]

Now we can expand that last product, to get:

[tex](x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x} )^2 + (\frac{1}{x^4})^2[/tex]

We can simplify that to:

[tex]x^4 - 4x + 2x^2 - \frac{4}{x^5} + \frac{4}{x^2} + \frac{1}{x^8}[/tex]

That is the expanded expression.

Answer:

4

Step-by-step explanation:

2/3x6=4