In a shipment of 180 flashlights, 30 were selected. If 2 flashlights were defective, how many would be expected to be defective in the entire shipment?

Answer:

  3/8

Step-by-step explanation:

Step-by-step explanation:

5:6

is your answer.

good morning

have a great day

Answer:

Value of k is 9

Step-by-step explanation:

-2x + 8 = -10

-2x = -10 - 8

-2x = -18

x = -18/-2

x = 9

f(x) = f(k)

x = k

9 = k

Hello there!

We are given the function:

[tex] \displaystyle \large{f(x) = - 2x + 8}[/tex]

We want to find the value of k. First, we know that f(k) is -10. We substitute x = k and f(x) = -10.

[tex] \displaystyle \large{f(k) = - 2k + 8} \\ \displaystyle \large{ - 10 = - 2k + 8}[/tex]

Solving the equation. First, we subtract both sides by 8.

[tex] \displaystyle \large{ - 10 - 8 = - 2k +8 - 8} \\ \displaystyle \large{ - 18 = - 2k} \\ [/tex]

Divide both sides by -2.

[tex] \displaystyle \large{ \frac{ - 18}{ - 2} = \frac{ - 2k}{ - 2} } \\ \displaystyle \large{ 9= k}[/tex]

Therefore, k = 9

When we substitute k = 9 in f(k), the value is -10.

Let me know if you have any questions!

Topic: Linear Function

Answer:

24 and 48

Step-by-step explanation:

let one number=x

the other number=2x

2x+x=72

3x=72

x=72/3=24

So one number is 24 and the other is 2(24)=48

Answer:

6 and 12 lol

Step-by-step explanation:

6(12)=72

12 is 6(2)

Answer: 3a+b/9

(the slash represents a fraction so the answer is a fraction)

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

a - 54 ÷ b =

40 - 54 ÷ 9 =

40 - 6 =

34

The answer is 34.

Step-by-step explanation:

All you have to do is evaluate. (plug in the #'s)

a-54/9 can be changed to

40-54/9

54/9=6 and 40-6=34

Answer:

5300 m

Step-by-step explanation:

Hi there!

First, we must change 5.342 km to meters by multiplying it by 1000:

5.342 × 1000 = 5342

Now, we know that 5.342 km is equivalent to 5342 m.

To round to the nearest 100 m, look at the hundreds place value in 5342 m. It is 3. The number before is 4. Because 4 is less than 5, it means we keep 3 as 3 and replace all the digits before with 0:

5300 m

I hope this helps!

Answer:

(-∞,20}

Step-by-step explanation:

Use the commutative property to reorder the terms.

Separate the function into parts to determine the domain of each part

The domian of a rational function are all values of x which the denominator is different than 0

Find the intersection

Answer:

-21 r^5

Step-by-step explanation:

(7r) (-3r^4)

Multiply the coefficients

7*(-3)

-21

Multiply the variables

r * r^4 = r^(4+1) = r^5

-21 r^5

Let other one be x

ATQ

[tex]\\ \sf\longmapsto x+\dfrac{-8}{17}=-8[/tex]

[tex]\\ \sf\longmapsto\dfrac{17x-8}{17}=-8[/tex]

[tex]\\ \sf\longmapsto 17x-8=17(-8)=-136[/tex]

[tex]\\ \sf\longmapsto 17x=-136+8[/tex]

[tex]\\ \sf\longmapsto 17x=-128[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-128}{17}[/tex]

Answer:

Step-by-step explanation:

The other number is x:

A scale drawing is an illustration of shape where the accurate size of the new shape is in proportion to the previous shape.

Given that:

[tex]k = 3[/tex] --- the scale factor

From the given polygon, we have:

[tex]Side_1 = 8[/tex]

[tex]Side_2 = 6[/tex]

The corresponding sides of these two sides are:

[tex]Side_1 = 8 \times 3[/tex]

[tex]Side_1 = 24[/tex]

[tex]Side_2 = 6 \times 3[/tex]

[tex]Side_2 = 18[/tex]

See attachment for the scaled drawing

Read more about scaled drawing at:

https://brainly.com/question/980463

Answer:

Step-by-step explanation:

Width = w

triple the width = 3*w = 3w

Length = 7 yards longer than triple the width = 3w + 7

Perimeter = 438 yards

2*(length +width) = 438

2*(3w+ 7 + w) = 438       {Combine like terms}

2 * (4w + 7)     = 438

     2*4w +2*7 = 438       {Use distributive property}

         8w + 14 = 438          {Subtract 14 from both side}

                  8w = 438 - 14

                  8w = 424          {Divide both sides by 8}

                    w = 424/8

                     w = 53 yards

Length = 3*53 +7 = 159 + 7 = 166 yards

Width = 53 yards

Length = 166 yards

A. √50 = 5√2 ≈ 7,07107

B. √169 = √13² = 13

C. 736

D. 225

Answer:

8x^2 +10x -5

Step-by-step explanation:

you'll multiply the second expression by -1, and you'll get +8x-9, add both expressions together and your final answer will be 8x^2 +10x -5

Answer:

5n - 2n

Step-by-step explanation:

Step-by-step explanation:

[tex]five \: times \: number = 5n \\ twice \: number = 2n \\ so \: \\ 5n - 2n \\ thank \: you[/tex]

Answer:

The total area is multiplied by 6

Step-by-step explanation:

Answer:

[tex] \frac{5}{3} {a}^{2} b + \frac{3}{4} abc + 5 \\ \\ \frac{5}{3} ( { - 2)}^{2} (1) + \frac{3}{4} ( - 2)(1)(2) \\ \\ \frac{5}{3} (4) + \frac{3}{4} ( - 4) \\ \\ = \frac{20}{3} - 3 \\ \frac{20 - 9}{3} = \frac{11}{3} = 3.666[/tex]

3x²y+5xy²+2xyz = 3(-1)²(2) + 5(-1)(2)² + 2(-1)(2)(-2) = 3(1)(2) + 5(-1)(4) + 2(4) = 6 – 20 + 8 = – 6

I hope I helped you^_^

Answer:

[tex] \frac{10}{16} [/tex]

Step-by-step explanation:

[tex] \frac{red \: pens}{total \: pens \: } = \frac{10}{16} [/tex]

or 5/8

Answer:

t = 41.6 (the 6 is repeating)

Step-by-step explanation:

2.5t + 350 = 3t + 225

Subtract 2.5t from both sides to get:

350 = 3t + 225

Now subtract 225 from both sides to get:

125 = 3t

Divide both sides by three.

t = 41.6 (the 6 is repeating)

Answer:

5

Step-by-step explanation:

If all question are worth same same amount of points, you can miss 5 questions out of 35 and get an 86. If you miss 6 questions you would get an 83.

hope this helped!

Answer:

5

Step-by-step explanation:

Answer:

-5/4x + 5/2

Step-by-step explanation:

Slope: (-3-2)/5-1) = -5/4

Point: (1,2)

y-2 = -5/4 (x -1)

y - 2 = -5/4x +5/4

y = -5/4x + 5/4 + 2

y = -5/4x + 13/4

Answer: So rounding 69581.491337 to the nearest thousand is

70000

The given pattern is an illustration of a linear equation. The students' equations are:

Given that:

[tex]n \to[/tex] number of tiles

[tex]s\to[/tex] step number

See attachment for the pattern, that is being analyzed by the students.

Dan

For each step, the number of tower is the same as the step number.

This means that:

[tex]n \to s[/tex]

2 arms contain one less block means: 2 x (s - 1) blocks for both arms.

So, Dan's equation is::

[tex]n = s + 2 \times (s - 1)[/tex]

[tex]n = s + 2(s - 1)[/tex]

Sally

First, we calculate the slope (m) of the table

[tex]m = \frac{n_2 - n_1}{s_2 - s_1}[/tex]

So, we have:

[tex]m = \frac{4-1}{2-1}[/tex]

[tex]m = \frac{3}{1}[/tex]

[tex]m =3[/tex]

The equation is then calculated using:

[tex]n = m(s - s_1) + n_1[/tex]

This gives:

[tex]n = 3(s - 1) + 1[/tex]

Open bracket

[tex]n = 3s - 3 +1[/tex]

[tex]n = 3s - 2[/tex]

Hence;

Dan's equation is: [tex]n = s + 2(s - 1)[/tex]

Sally's equation is: [tex]n = 3s - 2[/tex]

Read more about linear equations at:

https://brainly.com/question/19770987

Answer:

Option(A) [tex]4^{\frac{5}{8}}[/tex] is equivalent to [tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]

Step-by-step explanation:

Given:

[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]

To simplify the expression

Using the exponent rule,

[tex]$\frac{x^{a}}{x^{b}}=x^{a-b}$[/tex]

[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex][tex]=4^{\frac{7}{8}-\frac{1}{4}}[/tex]

[tex]=4^{\frac{5}{8}}[/tex]

The correct answer option is (A) [tex]4^{\frac{5}{8}}[/tex]

Learn more about Exponent rule, refer:

Coordinate geometry is the use of a 2D plane to represent points.

Given that:

[tex]A = (-5,5) \to A' = (5,5)[/tex]

[tex]B = (-2,2) \to B' = (2, 2)[/tex]

[tex]C = (-3,2) \to C' = (2,3)[/tex]

By observing the pattern of transformation, the rule is:

[tex](x,y) \to (y,-x)[/tex]

Hence, the transformation is a rotation of 270 degrees clockwise

The length is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]

[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]

And

[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]

[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]

By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.

The measure of the angles is calculated as follows:

[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]

So, we have:

[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]-2= \sqrt{13} \cos C[/tex]

Make cos C the subject

[tex]\cos C = -0.5547[/tex]

[tex]C = cos^{-1}(-0.5547)[/tex]

[tex]C = 124^o[/tex]

Also, we have:

[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]

So, we have:

[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]

[tex]\frac{1}{\sin A} =5.1175[/tex]

Rewrite as:

[tex]\sin A = \frac{1}{5.1175}[/tex]

[tex]\sin A = 0.1954[/tex]

[tex]A = \sin^{-1}(0.1954)[/tex]

[tex]A = 11^o[/tex]

Also, we have:

[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle

[tex]11 + B + 124 = 180^o[/tex]

Collect like terms

[tex]B = 180 -11 - 124[/tex]

[tex]B = 45[/tex]

Hence:

[tex]\angle A = 11[/tex]   [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]

Read more about coordinate geometry at:

https://brainly.com/question/1601567

Answer:

C = 7p

Step-by-step explanation:

Each pound costs 7 dollars, and he buys P, an unknown amount. This equals C.

Answer:

190 goats

33 cows

70 chickens

12x - 10.5y - 48 = 0

______________

78 × 32 = 2496 → answer

...

Answer:

thx

Step-by-step explanation:

Answer:

Yes!

Step-by-step explanation:

It is also a fraction. But, again fraction is a rational number and the number is also real (>0).