A factory found that 8% of its produced light bulbs are defective.

If the factory produces 500 light bulbs, how many light bulbs are expected to be defective?

a = 22 × Cos( 60 )

a = 22 × 1/2

a = 11

Answer:

a = 11

Step-by-step explanation:

[tex]sin 60 = \frac{opposite}{hypotenuse} = \frac{b}{22}\\\\b = 22 \times sin 60 = 19.05[/tex]

[tex]22^2 = a^2 + b^2 \\484 = a^2 + 19.05^2\\a^2 = 484 - 362.9025\\a^2 = 121.0975\\a = \sqrt{121.0975} = 11.004[/tex]

Answer:

a lot

Step-by-step explanation:

994

Answer:

40%

Step-by-step explanation:

percent change in Mike's long distance runs = (change in miles ran / initial longest mile ran) x 100

change in miles ran = new personal record - initial personal record

14 - 10 = 4

(4/10) x 100 = 40%

Given:

A segment has endpoints V and X.

To find:

The two names for the segment.

Solution:

A line segment is a small part of a line and it has two end points. The name of a segment is described by its end points.

For example: If A and B are two and points of a line segment, then the names for the segment are [tex]\overline {AB}[/tex] and [tex]\overline {BA}[/tex].

It is given that the segment has endpoints V and X.

Therefore, the two names for the segment are [tex]\overline {VX}[/tex] and [tex]\overline {XV}[/tex].

Answer:

Step-by-step explanation:

Equation of the function is,

f(x) = 2x² + 20x + 54

To convert the function in the form of f(x) = a(x - h)² + k

f(x) = 2(x² + 10x) + 54

     = 2[x² + 2(5x) + 25 - 25] + 54

     = 2[x² + 2(5x) + 5²] + 54 - 50

     = 2(x + 5)² + 4

     = 2[(x - (-5)]² + 4

Vertex of the quadratic equation (parabola) will be (-5, 4)

Therefore, f(x) has a minimum value at x = -5,

f(-5) = 4

"The function f(x) has a minimum value of 4, which occurs when x = 5"

Answer:

p=1, 2, 3

Step-by-step explanation:

p(4-1)<13

p3<13

p<13/4

p<3.25

p=1, 2, 3

Answer:

6 feet.

Step-by-step explanation:

You can read this from the graph.

Answer:

[tex]x = - 16[/tex]

Step-by-step explanation:

Let's solve:

[tex] \frac{3}{4} x = - 12[/tex]

Step 1: Multiply both sides by 4/3.

[tex]( \frac{4}{3} )*( \frac{3}{4} x)=( \frac{4}{3} )*(−12)[/tex]

[tex]x = - 16[/tex]

[tex] \frac{3}{4} x = - 12 \\ \\ = > 3x = - 12 \times 4 \\ \\ = > x = \frac{ \cancel{- 12} \times 4}{ \cancel3} \\ \\ = > x = - 4 \times 4 \\ \\ = > x = 16[/tex]

( 3x - 12 / 9x^2 ) ÷ ( x - 4 / 3x ) =

( 3x - 12 / 9x^2 ) × ( 3x / x - 4 ) =

( 3 ( x - 4 ) / 3 × 3x × x ) × ( 3x / x - 4 ) =

( x - 4 / 3x × x ) × ( 3x / x - 4 ) =

( x - 4 ) × 3x / ( x - 4 ) × 3x × x =

1 / x

Thus the correct answer is option A .

Answer:

I think it's C because it's a whole number while the others are fractions or decimals

hope this helps

have a good day :)

Step-by-step explanation:

y = 1/2x + x where x is any real number

y= -1/3 + x where x is any real number

Answer: to make a line parallel to y = 1/2x + 6, just change the y-intercept (6), and to make a perpendicular line to y = 3x - 8, turn the slope (3x) into its opposite (1/3x).

Step-by-step explanation:

Answer:

218

Step-by-step explanation:

436 ÷ 2

Using long division

436/2

4 ÷ 2 = 2

3 ÷ 2 = 1 remainder 1

We combine 1 and 6 together to give us 16

16 ÷ 2 = 8

Therefore, 436 ÷ 2 = 218

Answer:

Exact volume: 804.24772

Approximate volume: 804.248

Step-by-step explanation:

V = 1/3hπr².

Answer:

volume = 904.78 cubic inch

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]

Answer:

904,32 in³

Step-by-step explanation:

The formula for finding the volume of a sphere with given radius is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

You simply substitute r³ with 6³:

[tex]V=\frac{4}{3} \pi 6^3[/tex]

Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³

Answer:

im not exactly sure what you mean but is it

8 < 4

sorry if this didn't help

Step-by-step explanation:

Answer:

-29

Step-by-step explanation:

7(-3) - 8 = -21 - 8 = -29

Answer:

Answer: HC, HT, CT

Step-by-step explanation:

2 !DIFFERENT! DRINKS so it can’t be HH, CC, TT

Step-by-step explanation:

.....

Answer:

Diagonal

Step-by-step explanation:

Answer:

edge

Step-by-step explanation:

A connected graph is made up of vertices and edges.

Answer:

2.36 inches

Step-by-step explanation:

V = 4.18879r³

to determine the value of r, make r the subject of the formula in the above equation

∛(V/4.18879) = R

∛(55/4.18879) = r

r = ∛13.130283

r = 2.36 inches

the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero

Answer: c

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides of the equation:

x - 4 (+4) = 6 (+4)

x = 6 + 4

x = 10

x = 10 is your answer.

~

You get this result after adding 4 to both sides. This is to undo the "minus 4" happening to the x.

To check the answer, replace x with 10 and simplify each side like so

x-4 = 6

10-4 = 6

6 = 6

We get the same thing on both sides, so that confirms the solution.

Answer:

54

Step-by-step explanation:

135(.6) = 81

total = 135

won = 81

lost = 54

OR you could just multiply 135 by 110%-60%, which is 40% or 0.4

135(.4) = 54

Answer:

Step-by-step explanation: the answer is x^2+10x+21

Answer:

c 1602

Step-by-step explanation:

there are 36 months in 3 years but he pays every 4 months so now we do 36/4 to get 9 after we do 178x9 to get 1602

Answer:

6

Step-by-step explanation:

Replace the variables.

5(3) - 2(4.5) = ?

15 - 9 = ?

15 - 9 = 6

Answer:

Answer is D.

Step-by-step explanation:

The Equation of the Graph is r= 1 + 3 sinФ .

The three crucial trigonometry ratios on which functions are defined are sine, cosine, and tangent. The graphs for the three trigonometric functions sin, cos, and tan are shown below. In these trigonometry graphs, the y-axis represents the value of the function at each given angle, while the x-axis represents the angle values in radians.

here, we have,

Given:

The Graph for each function is Attaches Below.

The graph represented here shows the function r= 1 + 3 sinФ .

The graph for, r= 1 + 3 cos   have the vertical graph.

and, the graph for, r= 2+ 2 sinФ    have the Circular graph.

and, the graph for, r= 3 +  sinФ    have the Circular graph.

Learn more about Graph for Polar Coordinates here:

brainly.com/question/13016730

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The range of the given numbers in the data set is 29.

Range is the difference between the highest and lowest values of a set of observations.Range is a measure of variation.

Range = highest value - lowest value

68 - 39 = 29

To learn more about range, please check: https://brainly.com/question/12372689