PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Which of the following statements is true?

A. A data set will always have exactly one mode

B. A data set can have multiple modes

C. A data set will always have at least one mode

D. A data set will never have a mode

Answer:

54°

Step-by-step explanation:

$800 is 360° of a pie chart

$120 is ?° of the pie chart

?° = (360*120)/800 = 54°

*if you need the answer to be in radiants

(54*π) /180 = 0.942478 rad

Step-by-step explanation

Answer:

[tex]\boxed{\sf x = 7 }[/tex]

Step-by-step explanation:

We are here given a logarithmic equation and we need to solve it out and then find the value of x. The given equation is ,

[tex]\sf\longrightarrow log_6 + log_6 ( x -1) = 1 [/tex]

Here I am assuming that the base of the logarithm is 6 . The equation can be written as ,

[tex]\sf\longrightarrow log_6 1+ log_6 ( x -1) = 1 [/tex]

Recall the property of log as , [tex]\sf log_x a + log_x b = log_x(ab) [/tex] , on using this property we have ,

[tex]\sf\longrightarrow log_6 \{ 1 ( x -1)\} = 1 [/tex]

Simplify ,

[tex]\sf\longrightarrow log_6 ( x -1) = 1 [/tex]

We know that , if [tex]\sf log_a b = c [/tex] then in expotential form it can be expressed as [tex]\sf a^c = b [/tex] . Using this we have ,

[tex]\sf\longrightarrow 6^1 = x - 1[/tex]

Simplify ,

[tex]\sf\longrightarrow 6 = x - 1[/tex]

Add 1 both sides ,

[tex]\sf\longrightarrow x = 6 + 1[/tex]

Therefore ,

[tex]\sf\longrightarrow \boxed{\blue{\sf \quad x = 7\quad }} [/tex]

Hence the value of x is 7 .

Answer:

x=7

Step-by-step explanation:

log6(1) + log6 (x-1) = 1

We know that log (a) * log (b) = log (ab)

log6 (1*(x-1)) = 1

log6 (x-1) = 1

Raising each side to the base of 6

6 ^log6 (x-1)  = 6^1

x-1 = 6

Add 1 to each sdie

x-1+1 = 6+1

x=7

Answer:

Solution given:

we have formula

a²+b²=(a+b)(a-b)

now

4x²-9

(2x)²-3²

using formula

(2x+3)(2x-3)

other expression is 2x-3.

Answer:

( 2x - 3 )

Step-by-step explanation:

4x² - 9 is a perfect square meaning it can be factored into 2 expressions,

( 2x + 3 ) ( 2x - 3 )

Answer:

If a square has a side length of 4, then the area is 16.

A = [tex]s^{2}[/tex]    where s = side length.

If a diagonal is drawn to create 2 halves, then the area of each half is 8.

So most likely the answer you are seeking is:  [tex]\frac{1}{2}[/tex] ( 4 · 4 )

Step-by-step explanation:

x will be 0

y will be -2

thats the answer babe

Answer:

5/4

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

1/2 = 2/5 * w

Multiply each side by 5/2

5/2 * 1/2 = 2/5 *w * 5/2

5/4 = w

Formula we use,

→ A = l × w

Then the width of the rectangle,

→ A = I × w

→ 1/2 = 2/5 × w

Now multiply each side by 5/2,

→ 1/2 × 5/2 = 2/5 × w × 5/2

→ w = 5/4

Hence, the width is 5/4.

Answer:

6x - 2y > 8

First, solve the inequality (Isolate the y-variable & put it in function format):

[tex]6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4[/tex]

Second, graph the function y = 3x - 4 on the graph.

Third, shade in the area below the line(where y-values are smaller).

Answer:

2+4/6=1

y-2/x-6=1

y-2=x-6

y=x-4

or y+4=x

Answer:

3rd option

y + 4 = x

Step-by-step explanation:

look,

point A (0, -4) forms the y intercept

(remember the condition for y intercept? the coordinates for which value of x is 0)

so in the equation

[tex]\boxed{ y= mx+c}[/tex]

c being the y intercept is equal to (-4)

finding the slope :-

[tex]m = \frac{ 2 + 4 }{6 - 0} \\ = \frac{6}{6} = 1[/tex]

plugging all these values into the equation

y = 1x - 4

y= x - 4

taking 4 to the other side

y+ 4 = x

Answer:

you have to take away you word they said how many

Answer:

114cm

Step-by-step explanation:

3×8×4=96

3×3×2=18

96+18=114

Answer:

Step-by-step explanation:

It's right

Answer:

Step-by-step explanation:

Daniel

Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:

= 50 + 8x

The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.

After 4 weeks he would have:

= 50 + (8 * 4)

= 50 + 32

= $82

Saquon

Applying the same formula:

= 65 + 5x

After 4 weeks:

= 65 + (5 * 4)

= 65 + 20

= $85

Saquon has more money after 4 weeks.

Number of weeks it would take for both of them to have the same amount.

To find this out, equate both formulas and solve for x.

50 + 8x = 65 + 5x

8x - 5x = 65 - 50

3x = 15

x = 15/3

x = 5 weeks

At 5 weeks they will both have:

50 + 8 * 5 = $90

65 + 5 * 5 = $90

Answer:

$86.40

Step-by-step explanation:

The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month). Water costs 0.20 dollars per liter.

How much money did Trevor's family spend, in total, on shower water in the past month?

Total people in Trevor's family = 6

Number of bathrooms = 3

Time each person spent to shower = 480 minutes

Quantity of water each person use per month = 72 liters

Cost of water per liter = $0.20

Total amount spent on shower water = Total people in Trevor's family × Quantity of water each person use per month × Cost of water per liter

= 6 × 72 × 0.20

= $86.40

Total amount spent on shower water = $86.40

Answer:

7.8391

Step-by-step explanation:

Answer:

Step-by-step explanation:

The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:

[tex]e^{ln(x+3)}=e^5[/tex]

That leaves us on the left with simply

x + 3

On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:

[tex]x=e^5-3[/tex] and

[tex]e^5=148.4131591[/tex], so

x = 148.4131591 - 3 and

x = 145.4132, the first choice listed.

Answer:

[tex]{ \tt{x + 36 \degree + 48 \degree = 360 \degree}} \\ { \tt{x = (360 - 48 - 36) \degree}} \\ { \tt{x = 276 \degree}}[/tex]

Answer:

Step-by-step explanation:                

[tex]\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1[/tex]

Answer: -6/7

Step-by-step explanation:

[tex]2x/5-3x/4=3/10\\(8x-15x)/20=3/10\\-7x/20=3/10\\-7x=(3/10)*20\\-7x=6\\x=-6/7[/tex]

We have to find,

The required value of x.

Given that,

→ 2x/5 - 3x/4 = 3/10

Then let's solve for the value of x,

→ 2x/5 - 3x/4 = 3/10

→ (8x - 15x)/20 = 3/10

→ -7x/20 = 3/10

→ -7x = (3/10) × 20

→ -7x = 3 × 2

→ -7x = 6

→ [x = -6/7]

Hence, the value of x is -6/7.

9514 1404 393

Answer:

  C.  f^-1(x) = (x +4)^2; x  ≥ -4

Step-by-step explanation:

The range of the given function f(x) is -4 ≤ f(x). This will be the domain of the inverse function.

We find the inverse function by solving ...

  x = f(y)

  x = √y -4

  x +4 = √y

  (x +4)^2 = y

The inverse function is ...

  f^-1(x) = (x +4)^2 . . . for x ≥ -4

Answer:

The answer si:  

- 16 servings - 6 oz of salmon

- 24 servings - 9 oz of salmon

- 80 servings - 30 oz of salmon

- 100 servings - 37.5 oz of salmon

1 roll is 8 servings and it is also made of 3oz of smoked salmon. That means that 3oz of smoked salmon is needed fo 8 servings.

Now, let's made some proportions:

16 servings:

3 oz is for 8 servings, how much oz is for 16 servings:

3 : 8 = x : 16

x = 3 · 16 ÷ 8 = 6 oz

24 servings:

3 oz is for 8 servings, how much oz is for 24 servings:

3 : 8 = x : 24

x = 3 · 24 ÷ 8 = 9 oz

80 servings:

3 oz is for 8 servings, how much oz is for 80 servings:

3 : 8 = x : 80

x = 3 · 80 ÷ 8 = 30 oz

100 servings:

3 oz is for 8 servings, how much oz is for 100 servings:

3 : 8 = x : 100

x = 3 · 100 ÷ 8 = 37.5 oz

Answer:

[tex]{ \tt{ = 28a - {4a}^{2} }} \\ = 4a(7 - a)[/tex]

Answer:

Range = {5, 7, 9}

Step-by-step explanation:

Range is the set of values that are the results of respective values of x when placed in the function f(x).

[tex] \mathfrak{\blue {\underline{\implies If\: x = 3 }}} [/tex]

f(3) = 2 × 3 - 1

f(3) = 6 - 1

f(3) = 5

[tex] \mathfrak{\blue{\underline{\implies If \:x = 4 }}} [/tex]

f(4) = 2 × 4- 1

f(4) = 8 - 1

f(4) = 7

[tex] \mathfrak{\blue{\underline{\implies If\: x = 5 }}} [/tex]

f(5) = 2× 5 - 1

f(5) = 10 - 1

f(5) = 9

Therefore, the range is the set of all these values :-

Range = {5, 7, 9}

Answer:

The two numbers are 182 and 210. I hope this will help you.

Answer:

B

Step-by-step explanation:

the graph has been shifted 4 units to left, and 2 units down.

Answer:

Graph shifted down by 2 ... -2

graph slid  4 to the left ... + 4

B is the answer y = |x+4| -2

Step-by-step explanation:

Answer:

b =44

Step-by-step explanation:

We need to use the law of sines to determine b

sin b                     sin 100

----------------  = ----------------

3.6                          5.1

Using cross products

5.1 sin b = 3.6 sin 100

sin b = 3.6 sin 100 / 5.1

Taking the inverse sin of each side

b = arcsin (  3.6 sin 100 / 5.1)

b = 44.03984209

To the nearest degree

n = 44

Answer:

C

Step-by-step explanation:

The graph is 5x^2. Hence the option C is correct

The required function g(x) is 5x² for the given graph, which is the correct option (C).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The given function is as follows:

f(x) = x²

Substitute the value of x = 1 in the above equation,

f(1) = 1

As per the given graph, we have

g(1) = 5

Now, we can write the proportion as:

f(x)/g(x) = f(1)/g(1)

Substitute the known values in the above proportion, and solve for g(x):

x²/g(x) = 1/5

Cross-multiplying and we get:

g(x) = 5x²

Therefore, the required function g(x) is 5x².

Learn more about the functions here:

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Answer:

N/A

Step-by-step explanation:

What's the question to the question?

Answer:

Three times a number minus two times a number

3x-2x

=x

Step-by-step explanation:

reflection under

x-axis

hope this will help you

The line of reflection is given as  x-axis.

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

The coordinates of the triangle SKY before and after reflection are given as below,

S(-7, 2) → S'(-7, -2)

K(-1, 8) → K'(-1, -8)

Y(-2, 1) → Y'(-2, -1)

It is clear from the transformed coordinates that the x coordinates are the same but y-coordinate changes.

Thus, the reflection is about x-axis.

Hence, the line of reflection is x-axis.

To know more about transformation of graph click on,

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Answer:

12 lbs

Step-by-step explanation:

There are 16 ounces in a pound

192 ounces * 1 pound / 16 ounces = 12 pounds

Step-by-step explanation:

1 pound = 16 ounces

24 pound = 16 x 24 ounces = 384 ounces

1 ounce = 1/16 pounds

192 ounces = 192/16 pounds = 12 pounds