Please help I don't understand

Answer:

6 : 1

Step-by-step explanation:

Given the ratio

12 : 2 ( divide both parts by 2 )

= 6 : 1 ← in the form n : 1

Answer:

35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Step-by-step explanation:

First let us suppose the missing number x

I think we will cross multiply

5b2 = bx

5b2/b = bx

5b = x

Answer:

[tex]25[/tex] will go into the box.

Step-by-step explanation:

Square the denominator and the denominator to get the required expression.

[tex]\frac{5}{b}=\frac{5^2}{b^2}=\frac{25}{b^2}[/tex]

Best Regards!

Answer:

108 pi inches cubed

Step-by-step explanation:

The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.

Answer:

108

Step-by-step explanation:

Answer:

Length = 7 cm

Width = 2 cm

Step-by-step explanation:

Perimeter of rectangle = 18 cm

Let length of rectangle = [tex]l[/tex] cm

Let width of rectangle =  [tex]w[/tex] cm

As per given statement, length is 3 cm more than the twice of its width:

Writing equation:

[tex]l = 2\times w +3 ....... (1)[/tex]

Formula for perimeter of a rectangle is given as:

[tex]P = 2 \times (Length + Width)[/tex]

OR

[tex]P = 2 \times (l + w)[/tex]

Putting values of P as given and [tex]l[/tex] by using equation (1):

[tex]18 = 2 \times (2w +3 + w)\\\Rightarrow \dfrac{18}2 = 3w +3 \\\Rightarrow 9 = 3w +3\\\Rightarrow 3w = 9 -3\\\Rightarrow w = \dfrac{6}{3}\\\Rightarrow w = 2\ cm[/tex]

Putting value of [tex]w[/tex] in equation (1):

[tex]l = 2\times 2 +3 \\\Rightarrow l = 4+3\\\Rightarrow l = 7\ cm[/tex]

So, the dimensions are:

Length = 7 cm

Width = 2 cm

Answer:

Do it your self

Step-by-step explanation:

Answer:

1.2^2

Step-by-step explanation:

1 11/25=36/25

square rout of 36/25=1.2

Answer:

1 11/25 is the same as 36/25. Since 36 and 25 are 6² and 5² respectively the answer is (6 / 5)².

The last 2 shapes.

When you rotate both of them 360 degrees only at 180 and back at 360 it looks same.

Answer:

It moves 8 to the right

Step-by-step explanation:

This is in the y axis so it will move 8 on the x axis

Answer:

(x+7)(x+6)

Step-by-step explanation:

x²+13x+42

x²+6x+7x+42

x(x+6)+7(x+6)

(x+6)(x+7)

Answer:

a) (x+7) (x+6)

Step-by-step explanation:

That is the correct answer because you get it when you factor the current equation.

Hope it helps

Answer:

Step-by-step explanation:

This is an exponential function. In order to find the answer to the question, we need to first determine what the equation is that models this information. The standard form for an exponential function is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth/decay rate. If the starting population is 5000, then

a = 5000

If the population is growing, that means that it retains 100% of the initial population and is added to by another 3.5%. So in a sense the population grows 100% + 3.5% = 103.5% or, in decimal form, 1.035. So

b = 1.035

Our function is

[tex]y=5000(1.035)^x[/tex] where y is the ending population and x is the number of years it takes to get to that ending population. We want to know how long, x, it will be til the population reaches 7300, y.

[tex]7300=5000(1.035)^x[/tex] and we need to solve for x. The only way to do that is by using logs. I'll use natural logs for this.

Begin by dividing both sides by 5000 to get

[tex]1.46=1.035^x[/tex] and take the natural log of both sides:

[tex]ln(1.46)=ln(1.035)^x[/tex]

The power rule for natural logs is that we can now bring the exponent down in front of the ln to get:

[tex]ln(1.46)=xln(1.035)[/tex] To solve for x, we now divide both sides by ln(1.035):

[tex]\frac{ln(1.46)}{ln(1.035)}=x[/tex]

Do that division on your calculator and get that

x = 11.0 years.

That means that 11 years after the population was 5000 it will be expected to reach 7300 (as long as the growth rate remains 3.5%)

Answer:

B.

Step-by-step explanation:

B.

This answer does not prove anything.

Answer:

0.08 minutes for a kilometer.

Step-by-step explanation:

If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.

I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.

Answer:

RQ=35.51 km

PR=34.62 km

Step-by-step explanation:

Bearing of Q from P = 72 degrees

Bearing of R from Q=320 degrees

320=270+50

Therefore, the second angle of Q is 50 degrees.

[tex]\angle P=72^\circ\\\angle Q=68^\circ\\\angle R=180^\circ-(72^\circ+68^\circ)=40^\circ[/tex]

Using Law of Sines

[tex]\dfrac{r}{\sin R} =\dfrac{p}{\sin P} \\\dfrac{24}{\sin 40} =\dfrac{p}{\sin 72} \\p=\sin 72 \times \dfrac{24}{\sin 40}\\\\p=RQ=35.51$ km[/tex]

Using Law of Sines

[tex]\dfrac{q}{\sin Q} =\dfrac{r}{\sin R} \\\dfrac{q}{\sin 68} =\dfrac{24}{\sin 40} \\q=\dfrac{24}{\sin 40}\times \sin 68\\\\q=PR=34.62$ km[/tex]

Answer:

A

Step-by-step explanation:

Basically when we have x in the denominator, we don't want the denominator to be 0 as the value of f(x) will then be undefined. Therefore the answer is A.

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

[tex]h=-16t^2 + 36t + 10[/tex] ......(1)

Part (a) :

The maximum height reached by the ball is given by :

[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s[/tex]

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

[tex]h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m[/tex]

Answer: 3/2

Step-by-step explanation:

Just take the length of 1 side, for example LP, and count the length in units.

LP = 8 units

Now, L’P’ = 12 units, so divide the length of L’P’ by LP to get the factor of dilation.

12/8 = 3/2

Answer:

The third option: 48 degrees.

Step-by-step explanation:

Angle GFH is congruent to angle CFE, which is congruent to ACB, therefore, all are congruent and equal to 48.

Answer:

x = 48

Step-by-step explanation:

∠x ≅ ∠C (vertical angles)

∠C ≅ ∠CFG (corresponding angles)

∠CFG ≅ ∠HFG ≅ 48° (vertical angle)

So

∠x ≅ 48 (Transitive property of equality)

Answer:

x^2-6x+9

Step-by-step explanation:

(x-3)^2

(x-3)(x-3)

x^2-3x-3x+9

x^2-6x+9

Answer:

The weight in ounces of one box = 15ounces

Step-by-step explanation:

We are told the relationship between the number of boxes and the weight of the crackers in the boxes is given as 11boxes and 165ounces respectively.

In order words, 11boxes weigh 165ounces.

To determine the weight, in ounces, of one box, we would divide the weight of the 11boxes by the number of boxes.

Weight of the 11boxes = 165ounces

Number of boxes that gives that weight = 11

The weight of one box = 165/11

The weight of one box = 15ounces

Answer:

(C)

Step-by-step explanation:

I took the quiz

Answer:

Step-by-step explanation:

correct one is b

Answer:

[tex]\frac{8}{27}[/tex] is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.

Step-by-step explanation:

In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:

Red: The player pulls out a red tile first. This has a [tex]\frac{1}{9}[/tex] probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a [tex]\frac{6}{12}[/tex] probability attached to it. [tex]\frac{1}{9}[/tex] × [tex]\frac{6}{12}[/tex]=[tex]\frac{1}{18}[/tex] probability of happening.

Green: There is a [tex]\frac{5}{9}[/tex] probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be [tex]\frac{4}{12}[/tex]. [tex]\frac{5}{9}[/tex]×[tex]\frac{4}{12}[/tex]=[tex]\frac{5}{27}[/tex].

Blue: There is a [tex]\frac{3}{9}[/tex] probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is [tex]\frac{2}{12}[/tex] on its own, and them both being blue is  [tex]\frac{3}{9}[/tex]×[tex]\frac{2}{12}[/tex]=[tex]\frac{1}{18}[/tex]

Adding [tex]\frac{1}{18}[/tex]+[tex]\frac{1}{18}[/tex]+[tex]\frac{5}{27}[/tex] we get the answer [tex]\frac{8}{27}[/tex].

Answer:

(-10, 3)

Step-by-step explanation:

You can do it algebraically (substitution or elimination) or graphically. I will be using substitution to solve this.

Step 1: Rewrite 2nd equation

2y = 6

y = 3

Step 2: Plug in y

7x + 8(3) = -46

7x + 24 = -46

7x = -70

x = -10

Put it in coordinates and we have our final answer!

Answer:

4.92*10^5

Step-by-step explanation

The annual flow of the Mississippi River would fit in the Atlantic Ocean approximately 4.92 x 10⁵ times.

The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.

To find out how many times the annual flow of the Mississippi River would fit in the Atlantic Ocean, we need to divide the volume of the Atlantic Ocean by the annual flow of the Mississippi River:

number of times = (volume of Atlantic Ocean) / (annual flow of Mississippi River)

= (3.1 x 10¹⁷ cubic meters) / (6.3 x 10¹¹ cubic meters)

= 4.92 x 10⁵

Rounding to two decimal places, the final answer is approximately 4.92 x 10⁵. Therefore, the annual flow of the Mississippi River would fit in the Atlantic Ocean approximately 492,000 times.

To learn more about the volume;

https://brainly.com/question/23477586

#SPJ2

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

⇒ Average speed = 100 km/h

Answer:

y+1 = 2(x-6)

Step-by-step explanation:

We have a point (6,-1) and a slope m=2

The point slope form of a line is

y-y1 = m(x-x1)

y- -1 = 2(x-6)

y+1 = 2(x-6)

Answer: y - (-1) = 2(x-6) which is basically y + 1 = 2(x - 6)

Step-by-step explanation:

Disregard my explanation, its in the wrong form

Point-slope form is y = mx + b

They gave us m, 2. And they gave us the coords, (6, -1)

All you have to do is plug this info in to get:

[tex]-1=2(6)+b\\-1=12+b\\b=-13[/tex]

Answer: $1.35

Step-by-step explanation:

1.29 * 5% = 1.29 * 0.05 = 0.0645

0.0645 rounds down to 0.06

1.29 + 0.06 = 1.35

Answer:

you combine like terms by adding them up

Step-by-step explanation:

Answer:

x = 1 ± √89

Step-by-step explanation:

Step 1: Expand

x² - 2x - 63 = 25

Step 2: Isolate xs

x² - 2x = 88

Step 3: Complete the square

x² - 2x + 1 = 88 + 1

(x - 1)² = 89

Step 3: Square root both sides

√(x - 1)² = ±√89

x - 1 = ±√89

Step 4: Isolate x

x = 1 ± √89