Ariel weighed an object on her balance and recorded a mass of 23.9 grams. Her teacher told her that there was obviously something wrong with her balance because it was giving her a reading which was 30.4% too high. What was the actual mass of the object?

Answer:

31,827 ways

Step-by-step explanation:

Total number of books, n = 18

Number of books to be selected, r = 7

Since, the order of arrangement doesn't matter ;

We use the combination formula :

nCr = n! ÷ (n-r)! r!

18C7 = 18! ÷ 11!7!

18C7 = (18*17*16*15*14*13*12) ÷ (7*6*5*4*3*2*1)

18C7 = 160392960 / 5040

18C7 = 31,827 ways

Answer:

Answer is D

Step-by-step explanation:

Answer:

1

-1

-3

3

Step-by-step explanation:

f(1) = 2(1) -1

f(1) = 1

f(0) = 2(0) -1

f(0) = -1

f(-1) = 2(-1) -1

f(-1) = -3

f(2) = 2(2) -1

f(2) = 3

Answers in order from top to bottom:

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Explanation:

To get each answer shown above, we replace each x value with a single specific value.

In the top row, we have x = 1. So we'll replace every x with 1 to get...

f(x) = 2x-1

f(1) = 2(1)-1

f(1) = 2-1

f(1) = 1

So that's why 1 goes in the first box.

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We repeat the same structure of steps for x = 0

f(x) = 2x-1

f(0) = 2(0)-1

f(0) = 0-1

f(0) = -1

Meaning that -1 goes in the second box.

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Repeat for x = -1

f(x) = 2x-1

f(-1) = 2(-1)-1

f(-1) = -2-1

f(-1) = -3

When we subtract a positive from a negative, we're really adding the two positive versions of the number, and then making the final result negative.

So -3 goes in the third box.

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Repeat for x = 2

f(x) = 2x-1

f(2) = 2(2)-1

f(2) = 4-1

f(2) = 3

We have 3 go in the fourth box.

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Side note: This is a linear function in slope intercept form y = mx+b. We have m = 2 as the slope and b = -1 as the y intercept.

Answer:

Step-by-step explanation:

.05c+.1b>80, if 480 cans were collected

.05(480)+.1b>80

24+.1b>80

.1b>56

b>560

So the minimum number of bottles collected is 561

Step-by-step explanation:

147.50 becuase 8 painting equal 116$ and the smallons equal 31.50 so add them together and you get 147.50

Answer:

Resultant speed = 12 km/h.

Bearing is 107.14 degrees.

Step-by-step explanation:

This can be represented by a triangle of velocities with lengths 15 and 5 with the included angle = 45 degrees.

To find the velocity of the resultant  we use cosine rule:

v^2 = 15^2 + 5^2 - 2*5*15cos 45

v^2 = 143.934

v = 12.0 km/h to the nearest tenth.

To find the bearing we use the sine rule to find the angle down from due east>

12 / sin 45 = 5/ sin x

sin x =  5 sin 45 / 12 = 0.2946278

x = 17.14 degrees.

Bearing is therefore 90 + 17.14 = 107.14 degrees.

the second one I believe but im not the greatest at math so dont trust me

Answer:

See explanation below

Step-by-step explanation:

The slope for f(x) is 6, meaning that you for each one x-unit you move, the plot goes up 6 y-units.

This is the same for g(x) but the slope is negative, so the line needs to face downwards. For each one x-unit you move, the plot goes down 6 y-units.

After drawing the two lines, you find that the transformation is a reflection because the lines are perpendicular to each other. They have the same slope, but in different directions.

Answer:

n= 6. hope this helped as I tried my best.

Step-by-step explanation:

2³ × 2^n = 2⁹

Answer:

The radius of a circle is diameter divided by 2.

Step-by-step explanation:

For example, if the diameter of a circle was 9. Then the radius would be 4.5.

Answer:

function is f(x) = x+6

and the missing outputs are 19, 24 and 27

Answer:

A: (-2, 0)

B: (-1, 0)

C: (-1/4, 0)

D: (1/4, 0)

E: (1/2, 0)

F: (1  1/2, 0)

G: (2, 0)

H: (2 3/4, 0)

I: (3 1/2, 0)

Step-by-step explanation:

From the graph we can see that every 4th line from 0 is a whole unit.

I put a 0 in place of the y value for every coordinate because the points don't move neither up nor down.

Answer:

111

like add 14 to 18 to find y value

making 32

32+5 that's 37

multiply 3 and 37

111

that ur answer

Answer:

x = -5/2

Step-by-step explanation:

Answer and Step-by-step explanation:

What the question is asking is that it wants you to make the equation show equal to n.

We can do that by dividing both sides by RT, to get n by itself.

[tex]PV = nRT\\\\\\\frac{PV}{RT} = n[/tex]⇔ This is the answer.

#teamtrees #PAW (Plant And Water)

Answer: 5.76 miles

Step-by-step explanation:

Let the distance between Victoria and Georgetown on the map be represented by x.

The information given in the question can then be formed into an expression which will be:

0.9/x = 10.5/67.2

Cross multiply

(10.5 × x) = 67.2 × 0.9

10.5x = 60.48

x = 60.48/10.5

x = 5.76

The answer is 5.76 miles

Answer:

c

Step-by-step explanation:

Answer:

C) 1990s

Step-by-step explanation:

100% edge 2021

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 3x - 3 ← equation of line

Answer:

7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

9) [tex]5log_4(7) - 5log_4(12)[/tex]

11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]

Step-by-step explanation:

[tex]log_3 (\frac{x}{y})^{4}[/tex]

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Use Logarithm of a Quotient which states

[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]

And also use Logarithm of a Power which states

[tex]log_b\ M^{n} = n\log_bM[/tex]

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So using these two properties,

7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

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For #9, use the same logarithm propertied

[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]

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#11 is also the same concept

[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]

It is not  - 5 log5(y) since only x is to the power of 5 not y

Answer:

x=2

Step-by-step explanation:

Answer:

9x-4=12x-55.....

as they are vertically opp angles

9x-12x= -55+4

-3x= -51

x= 17

Answer:

possblie awnser is 1:Possible answer for Triangle 1: m∠A = 70°; m∠B = ∠55°; m∠C = 55°.

The compass marks equal lengths on both sides of ∠A; therefore, AB

Step-by-step explanation:

Answer:

m<M =100 M<N=60 m<p=20

Step-by-step explanation:

Step-by-step explanation:

x equals 40

.... good luck!

Answer:

Let the length of missing side x.

x^2 = 16^2 + 30^2

x^2 = 1156

x = √1156

x = 36

Step-by-step explanation:

Hope it is helpful....

Answer:

Step-by-step explanation:

x ² = 16² +30²

x ² = 1156

x = √1156

x =34