In science class, Farah uses a graduated cylinder with
water in it to measure the volume of some marbles. She
drops in marbles so that they're all under water and
measures the height of the water.
After dropping in 4 marbles, the height is 10 ml
After dropping in 6 marbles, the height is 11 ml.
Here are your answers from the previous screen:
Before dropping in any marbles, the height is 8 ml.
Each marble increases the height by 3 mL.
What should be the height of the water after 13 marbles
are dropped in?

Answer:

y=6x+18 i think

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

8x - 2 = -11 + 7x + 2

First, separate the terms: move x to one side

subtract 7x from both sides

8x -7x - 2 = -11 + 7x -7x + 2

x - 2 = -11 + 2

Now get x by itself by adding 2 to both sides

x - 2 +2 = -11 + 2 +2

x = -11 + 4

simplify

x = -7

you're welcome

Answer:

y^7

Step-by-step explanation:

y^3 . y^5 . y^-2 . y

= y^3 . y^5 . y^-2 . y^1

= y^( 3 + 5 - 2 + 1 )

= y^( 3 + 5 + 1 - 2 )

= y^( 9 - 2 )

= y^7

9514 1404 393

Answer:

  B. x^4/4

Step-by-step explanation:

   [tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

Answer:

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

Step-by-step explanation:

Given that, center at (2,-1)

let a = 2, b = -1

radius, r = [tex]\sqrt{12}[/tex]

As we know the equation circle is, [tex](x-a) ^{2}[/tex]+[tex](y-b) ^{2}[/tex] = [tex]r^{2}[/tex] when radius and center point is given.

By this formula , we can get,

[tex](x-2) ^{2}[/tex]+[tex](y-(-1)) ^{2}[/tex] = [tex]\sqrt{12} ^{2}[/tex]

[tex]x^{2}[/tex] -4x +4 + [tex]y^{2}[/tex] + 2y + 1 = 12

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

This is the answer.

Answer:

Interior angles are congruent.

Step-by-step explanation:

We see that angles 3,4,5,6 are between the two parallel lines . These angles are called interior angles.

Angles 3,6 are opposite and do not share the same vertex.

Similarly angles 4 and 5 do not share the same vertex.

They are congruent.

If we look closely we see that angles 3 &4  and angles 5&6 are supplementary angles.

i.e they together make up the 180 degrees on the straight line.

On  the outer sides of the parallel lines angles 1&2 and angles 7 & 8 are exterior angles

which also make supplementary angles on the parallel lines.

From the diagram we see that

∠ 5= ∠7  

and

∠6 = ∠ 8

as the corresponding angles are equal

∠8=∠3

∠7=∠4

As they are opposite angles

Similarly

∠1=∠6

∠2=∠5  ( opposite angles)

From above

∠5=∠7

but ∠7= ∠4

therefore

∠ 5= ∠4-----------------A

Also

∠6 = ∠ 8

but ∠8=∠3

therefore

∠6=∠8----------------------B

From An and B we conclude  interior angles are congruent

Answer:

4 feet

Step-by-step explanation:

1 Yard = 3 feet

3 ft. + 1 ft. = 4 ft.

Answer:

I think it's 45/196.

Step-by-step explanation:

Not sure though, no explanation.

The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Based on the given conditions, formulate 9 ×9÷((9 + 5 + 4) ×(9 +5 +4))

Calculate the product or quotient = [tex]\frac{81}{(9 +5 + 4) * (9 + 5 + 4)}[/tex]

Calculate the sum or difference=  [tex]\frac{81}{(14 + 4) * (9 +5+4)}[/tex]

Calculate the sum or difference = [tex]\frac{81}{18 * (9+5+4)}[/tex]

                                                     = [tex]\frac{81}{18 * (14 + 4)}[/tex]

                                                     =[tex]\frac{81}{18 * 18}[/tex]

Calculate the product or quotient = [tex]\frac{81}{324}[/tex]

Cross out the common factor = [tex]\frac{1}{4}[/tex]

              get the result 25% or 0.25

Therefore, The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

Learn more about probability  brainly.com/question/743546

#SPJ2

The answer is -2/3, hope this helps!

Answer:

$2350

Step-by-step explanation:

Let Jade's total income be X

Therefore,the tax deducted was 24%x

Forming an equation:

X= 24%x + 1786

X = 0.24x + 1786

Collecting like terms

x - 0.24x = 1786

0.76x =1786

x= 1786 ÷0.76

X= $2350

Answer:

See attached

Step-by-step explanation:

See reflected image in the attached picture

Answer:

Abscissa

Step-by-step explanation:

Answer:

(a) and (b) are correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Select the correct options

A clock is divided into two equal parts.

(1) 1 - 6

(2) 7 - 12

When the hour hand is on (1), then the time is "after"

When the hour hand is on (2), then the time is "before"

From the attached clock, we have:

(1) The hour hand on 9

(2) The minute hand 1 unit above 9 i.e. 46 minutes

(1) implies that, the time is before 9 i.e. past 8

(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8

In (1) and (2) above, we have two interpretations.

1: (60 - 46) minutes before 9

This gives:

14 minutes before 9

2: 46 minutes past 8

i.e. 8 : 46

Answer:

A.  12 sq. units.

Step-by-step explanation:

Area of the triangle = 1/2 * base * height

= 1/2 * 6 * 4

= 12.

Answer:

1) $15 more

2) Formula: 1/2 (2+5) 10

Area: 35

Step-by-step explanation:

1) 30-15=15

2) 1/2 (2+5) 10 = 35

Answer:

3 feet

Step-by-step explanation:

P=2(a+b)

14=2(4+b)

14=8+2b

2b=6

b=3

Answer:

3 feet tall

Step-by-step explanation:

14-4-4=6 divided by 2=3 feet tall on two side

Answer:

F(t) = 8 + 6(t)

Step-by-step explanation:

6*4 = 24

32-24 = 8

so her initial fee is $8

so function is:

F(t) = 8 + 6(t)

Answer:

1. y = 6x + 8

2. 4 hours.

Step-by-step explanation:

x is each hour of work.

y is the total that Carolina is paid.

y = mx + b

32 = 6(x) + 8

Subtract 8 from both sides.

6x = 32 - 8

6x = 24

Divide both sides by 6.

x = 4

Carolina is works 4 hours to be paid 32.

Answer:

V = 1020.5 yd³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h( r is the radius and h the height )

Here r = 5 and h = 13 , then

V = π × 5² × 13

   = 3.14 × 25 × 13

   = 1020.5 yd³

Answer:

3 x 10^15

Step-by-step explanation:

5 x 10^6 x 6 x 10^8

30 x 10^14

3 x 10 x 10^14

3 x 10^15

(5 × 6) × (10 ^ 8 + 6) = 30 × 10 ^ 14

Answer:

60 m

Step-by-step explanation:

A^2+b^2=c^2

a^2+45^2=75^2

a^2+2025=5625

a^2=3600

a=60

Answer:

a

Step-by-step explanation:

.

Answer:

sorry I can only answer no.3

[tex]4x - 2 = 180 \\ 4x = 180 + 2 \\ 4x + 3x = 182 \\ \frac{7x}{7} = \frac{182}{7} \\ x = 26[/tex]

Answer:

-1=x-2

-1+2=x

x=1

Step-by-step explanation:

Answer:

x=-0.5

Step-by-step explanation:

6.8x + 9.3= -9.4 + 3.4 (2-5x)

6.8x + 9.3 = -9.4 + 6.8 - 17x

6.8x + 9.3 = -2.6 - 17x

22.8x = -11.9

x = -0.5

Answer:

yeah i gotta see the others

Step-by-step explanation:

[tex]katy \: planted \: \frac{65}{72} of \: the \: field[/tex]

may this helps you

bye

Answer:

3/49

Step-by-step explanation:

We need to subratact 1 from numerator (as the queen is a red faced card) and 3 from the demonitor as all of them are red cards

Answer:

19

Step-by-step explanation:

we know the sides of a rhombus is all equal, so:

4(2x+4)=168

8x+16=168

8x=152

x=19