Solve the equation 3x = 9 Show and justify each step you take to solve the equation

Answer:

5/3

Step-by-step explanation:

Given:

The question:

Rate formatted in miles per hour.

Which would be:-

5 miles per 3 hours

= 5/3

Reason:

The central angle is the same measure as the arc it subtends.

The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³

The globe is a sphere. Therefore, the volume is as follows:

volume = 4 / 3 πr³

where

r = 12  /2 = 6 inches

volume = 4 / 3 × π × 6³

volume = 864 / 3 π

volume = 288 × 3.14  = 904.32inches³

The box is a cube. Therefore,

volume = L³

where

Therefore,

volume = 12³

volume = 1728 inches³

Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:

volume not taken up = 1728 - 904.32 = 823.68 inches³

learn more on volume here: https://brainly.com/question/15385003

Answer:

(x - 2)(x - 1)(x + 1)(x + 2)

Step-by-step explanation:

[tex] {x}^{4} - 5 {x}^{2} + 4 \\ \\ = {x}^{4} - 4 {x}^{2} - {x}^{2} + 4 \\ \\ = {x}^{2} ( {x}^{2} - 4) - 1( {x}^{2} - 4) \\ \\ = ( {x}^{2} - 4)( {x}^{2} - 1) \\ \\ = (x + 2)(x - 2)(x + 1)(x - 1) \\ \\ = (x - 2)(x - 1)(x + 1)(x + 2)[/tex]

Answer:

[tex](x+1)(x-1)(x+2)(x-2)[/tex]

Step-by-step explanation:

To factorise  [tex]x^4-5x^2+4[/tex] :

Let [tex]x^2=u[/tex]

[tex]\implies x^4-5x^2+4=u^2-5u+4[/tex]

Now factorise  [tex]u^2-5u+4[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b[/tex]

[tex]\textsf{and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]\implies v=-1, w=-4[/tex]

[tex]\implies u^2-u-4u+4[/tex]

Break into groups

[tex]\implies (u^2-u)+(-4u+4)[/tex]

Factor each parentheses:

[tex]\implies u(u-1)-4(u-1)[/tex]

Factor out common term [tex](u-1)[/tex]:

[tex]\implies (u-1)(u-4)[/tex]

Substitute back [tex]u=x^2[/tex] :

[tex]\implies (x^2-1)(x^2-4)[/tex]

Factor both parentheses using the Difference of Two Squares: [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]\implies (x+1)(x-1)(x+2)(x-2)[/tex]

Therefore, the factorisation of [tex]x^4-5x^2+4[/tex] is

[tex](x+1)(x-1)(x+2)(x-2)[/tex]

Answer: See below

Step-by-step explanation:

a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.

b) Let the function be: y = mx + b

When x = 0; y = 120

So:

120 = 0 + c

c = 120

Now the slope:

[tex]\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{200-120}{10-0}=\frac{80}{10}=8[/tex]

Therefore, the equation that best fits the data is y = 8x + 120

c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.

the domain is simply the values that "t" or the independent variable can safely take whilst not producing any extraneous values.

well, the context from the table is that it starts at time of 10 days and goes on to the 40th day, so "t" starts off at 10 and ends at 40, well, that is the domain in context, [10 , 40].

Answer:

1 solution

Explanation:

[tex]\rightarrow \sf y=x^2+12x+36[/tex]

[tex]\rightarrow \sf x^2+12x+36=0[/tex]

[tex]\rightarrow \sf x^2+6x+6x+36=0[/tex]

[tex]\rightarrow \sf x(x+6)+6(x+6)=0[/tex]

[tex]\rightarrow \sf (x+6)(x+6)=0[/tex]

[tex]\rightarrow \sf x=-6[/tex]

Hence there is only one solution for this quadratic equation and the value is -6

[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]

[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]

Only one solution present

x=-6

Answer:

decreased by 7

Step-by-step explanation:

Based off of the table after each day, the money left on the card decreases by 7 after each day

eg. On Monday there is $40 on the card. On Tuesday there is $33 on the card. The money on the card decreases by 7 from Monday to Tuesday. It continues to decrease by this constant amount as the days pass.

Answer:

With each day additional day, the amount left on the card decreased by $7

Step-by-step explanation:

After each day you could see that the amount of money was lower and if you subtracted Monday by Tuesday, Tuesday by Wednesday, Wednesday by Thursday, and Thursday by Friday, you could see that it fell $7 each time.

Answer:

3;4

Step-by-step explaining

do the first to ratios the 3rd doesnt matter

Answer:

Step-by-step explanation:

Answer:

[tex]f(x)=\sqrt{x+5}-3[/tex]

Step-by-step explanation:

Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]

Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]

[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up

The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin

Therefore, this graph has been translated 5 units to the left and 3 units down.

Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]

Substituting these values into the given function:

[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]

[tex]\implies f(x)=\sqrt{x+5}-3[/tex]

Answer:

8+8

Step-by-step explanation:

the answer to the whats C and D well c=8 and D=8

Answer:

I'm pretty sure that it's exponential but I'm still going over this topic in class.

Answer:

6

Step-by-step explanation:

4 time one is 1

plug in 1 for m

and you got 4 - -2

witch both negatives make a positive

-0.6875

[tex]Convert\ -11/16\ to\ decimal\\ \downarrow\\ -0.6875[/tex]

I hope this helps you

:)

Answer: -0.6875.

Step-by-step explanation: -1/16 is -0.0625, and if you add -1/16 eleven times, you get -0.6875.  Therefore, -11/16 as a decimal is -0.6875.

Have a great day! :)

Answer:

15x + 25 = y

Step-by-step explanation:

$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y

Answer:

$55,200

Step-by-step explanation:

Area of yard = length * breadth

So,

Area = 50*46 = 2300 sq. feet

Again,

Cost per sq. feet = $24

So, For 2300 sq. feet,

Total cost = $24*2300 = $55,200

Hope it helped!

Answer:

The rate "20 pounds per 4 feet", doesn't belong with the other three because you get "5 pounds per foot" for the unit rate and for the other three, you get "4 pound per foot" for the unit rate.

Step-by-step explanation:

Unit rate = How much of something per 1 unit of something else

We write this as a ratio with a denominator of one

In this case, we are using "pound per foot"

1. "8 pounds for every 2 feet"

You can find the unit rate by dividing the first term of the ratio by the second term

[tex]\mathrm{\dfrac{ 8\:pounds }{ 2\:feet }}[/tex]

Simplify

[tex]\mathrm{4\:pounds}[/tex]

Unit rate = 4 pounds per foot

2. "12 pounds per 3 feet"

First, write the rate as a fraction

[tex]\mathrm{\dfrac{ 12\:pounds }{ 3\:feet }}[/tex]

Next, divide the numerator and denominator by 3

[tex]\mathrm{\dfrac{ 12\:pounds \div 3 }{ 3\:feet \div 3 }}[/tex]

Lastly, simplify and turn the denominator equal to 1

[tex]\mathrm{\dfrac{ 4\:pounds }{ 1\:foot }}[/tex]

Unit rate = 4 pounds per foot

3. "20 pounds per 4 feet"

First, write the rate as a fraction

[tex]\mathrm{\dfrac{ 20\:pounds }{ 4\:feet }}[/tex]

Next, divide the numerator and denominator by 4

[tex]\mathrm{\dfrac{ 20\:pounds \div 4 }{ 4\:feet \div 4 }}[/tex]

Lastly, simplify and turn the denominator equal to 1

[tex]\mathrm{\dfrac{ 5\:pounds }{ 1\:foot }}[/tex]

Unit rate = 5 pounds per foot

4. "24 pounds for every 6 feet"

You can find the unit rate by dividing the first term of the ratio by the second term

[tex]\mathrm{\dfrac{ 24\:pounds }{ 6\:feet }}[/tex]

Simplify

[tex]\mathrm{4\:pounds}[/tex]

Unit rate = 4 pounds per foot

The rate that doesn't belong is "20 pounds per 4 feet"

Answer:

Step-by-step explanation:

Answer:

[tex]-\sqrt{3}[/tex]

Step-by-step explanation:

tan (θ) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex]\frac{1}{2}[/tex]

tan (θ) = [tex]-\sqrt{3}[/tex]

hope this helps and is right!! p.s. i really need brainliest :)

Answer: 3/10

Step-by-step explanation: so you add 15+3+2+4+5+1 and that is 30 then you simplify 30 and get 3/10

A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)

(5,-2)

we know that,

the midpoint of the diagonals of a rectangle bisect each other,

so,

[tex] \huge \rightarrow \frac{x + 1}{2},\frac{y+ 3}{2} = \frac{5 + 1}{2},\frac{3 - 2}{2} \\ [/tex]

[tex] \huge \rightarrow \: x = 5 \: \\ \huge \rightarrow \: y = - 2[/tex]

Answer:

(5,-2)

Step-by-step explanation:

Cause me smart

Given:

⇒ Probability of happening of an event = 45%

To Find:

⇒ Probability of event

Now, probability of happening of an event is 45% means non happening event is 100 - 45 = 55%.

⇒ Probability of happening event = 45/100

⇒ Probability of happening event = 0.45

⇒ Probability of non happening event = 55/100

⇒ Probability of non happening event = 0.55

Hence, the correct option is (c) 0.45.

Extra Info:

Probability is the likelihood /chances of a given event's occurence which is expressed as a number between 1 and 0.

Answer:

42cm

Step-by-step explanation:

It's a rectangle so sides are 6, 6, 15, 15. Σs = 42.

Answer:

Step-by-step explanation:

The radious is 7 inches, that means the diameter is 14 inches.

The height is 18 inches. so...

V=πr2h=π·72·18≈2770.88472

So hence, your answer is

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Always keep more than 2 smiles so that you can share! Me happy! You happy! EVERYONE HAPPY!

Thanks!

Have a great day!

:D

Step-by-step explanation:

[tex] \frac{5}{4} + ( - 4 \times \frac{1}{ 3} ) \\ \\ \frac{5}{4} - \frac{4}{3} \\ \\ \\ \frac{15 - 16}{12} \\ \\ \frac{1}{12 } [/tex]

Answer: Heyo! ;D

I think I know how to solve this...

Let me know it this helps out in any way. :D

Median: "To find the median, first you need to list them in order from least to greatest:"

38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129

"Now, you count starting from both ends and count to the middle. In this case, 51 and 72 are both the medians. However, there can be only one remaining median. So, what we do is add 51 to 72, then divide the sum by 2 to end with the correct median:"

72 + 51 = 123

123 / 2 = 61.5

Outliers: "All are in a pattern, beside the one number that stands out as the outlier in the given list of numbers. 129 is the only number that isn't in sync with the pattern, hence meaning this is the outlier in the sequence of numbers above."

~Artastic~

Answer:

the answer is 113.5

Step-by-step explanation:

rate brainliest!

Answer:

114

Step-by-step explanation:

3^5 = 243

4^2 = 16

(243 - 16) / (4 + (-2))

227/2 = 113.5

I think that the morse code phrase refers to rounding the answer

which comes to be...

114

Therefore the 4 is before the decimal

I am not entirely sure, but that is what I think it is

PLEASE RATE!! I hope this helps!!

If you have any questions comment below