Select the reason why these triangles are
similar. If they are not, select "Not similar".
A. AA
B. SAS
C. SSS
D. Not similar

Answer: 100 x 2^ t/9

Step-by-step explanation:

The initial population of 100 that doubles in 9 years, gives the

expression for population as; [tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex].

Given parameters are;

The time it takes the population to double = 9 years

The initial population count = 100

Required:

The expression that gives the population after t years.

Solution:

The population as a function of time can be expressed as an

exponential function as follows;

[tex]P = \mathbf{P_0 \cdot e^{c \cdot t}}[/tex]

At the start, t = 0, P = 100, we have;

[tex]100 = \mathbf{ P_0 \times e^{c \times 0} }= P_0[/tex]

Therefore;

P₀ = 100

After 9 years, we have;

P = 2·P₀

Therefore;

[tex]2 = \mathbf{ e^{c \times 9}}[/tex]

ln(2) = 9·c

[tex]c = \dfrac{ln(2)}{9} \approx 0.077[/tex]

The function that gives the population is therefore;

Learn more about exponential functions here:

https://brainly.com/question/15602335

Answer:

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Step-by-step explanation:

Even if I don't know the options I can give all the option that will be right for expending this. Just look at each step and see which one is one of the options.

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Answer:

it is -21

Step-by-step explanation:

make it braintliest please

Answer:

Step-by-step explanation:

Step-by-step explanation:

Diameter : 10

Radius : 5

Area :

[tex]\pi {r}^{2} = \pi{5}^{2} = 78.54[/tex]

Diameter: 18

Radius : 9

Area :

[tex]\pi {9}^{2} = 254.47[/tex]

Diameter: 11

Radius: 5.5

Area:

[tex]\pi {5.5}^{2} = 95.03[/tex]

Diameter: 12

Radius : 6

Area:

[tex]\pi {6}^{2} = 113.09[/tex]

Answer:

1) just make an equation (answer below)

SO the new bottle is 30 ounces

The old bottle was 25 percent more then the new one

So we can just find 25 percent of 30

And add it

That is the most simple way but I would just do

30*1.25 Its the same thing but if you think a bout ti, the new bottle can Only hold 30 ounces, 30 ounces is 100 percent of the new bottle, if you multiply 1.25 its adding 25 percent so it Turns a 2 step into a 1 step.

1.25*30=37.5

The larger bottle was 37.5 ounces

Answer:

The factory can make 12,010 baseballs in 5 hours.

Step-by-step explanation:

We have to multiply 2,402 * 5 to find the answer.

5 * 2,402 = 12,010

Hope this helps!

Please mark as brainliest.

x=basketball in 5 hours

2,402=1 hours

which means x=5 hours

Multiply the terms:

2,402x5=12010

x=12010

Answer:

97

Step-by-step explanation:

you square 72 and 65 and add them together then take the square root of your answer aka 97 and thats the hypotenuse

Answer:          36x^3 +27x^2 = 9x^2\left(4x+3\right)

Step-by-step explanation: apply exponent rule rewrite factor out common term plz enjoy

Answer:

[tex]x = 0\; ,-\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]36x^3 + 27x^2 = 0[/tex]

[tex]=> 9x^2(4x + 3) = 0[/tex]

Here, x will have 2 values :-

1) [tex]9x^2(4x + 3) = 0[/tex]

[tex]=> \frac{9x^2(4x + 3)}{(4x+3)} = \frac{0}{4x+3}[/tex]

[tex]=> 9x^2 = 0[/tex]

[tex]=> \frac{9x^2}{9x} = \frac{0}{9x}[/tex]

[tex]=> x = 0[/tex]

2) [tex]9x^2(4x + 3) = 0[/tex]

[tex]=> \frac{9x^2(4x + 3)}{9x^2} = \frac{0}{9x^2}[/tex]

[tex]=> 4x+3 = 0[/tex]

[tex]=> 4x+3 -3 = 0 - 3[/tex]

[tex]=> 4x=-3[/tex]

[tex]=> \frac{4x}{4} = \frac{-3}{4}[/tex]

[tex]=> x = -\frac{3}{4}[/tex]

Question:

Brianna solved a two-step equation, but she made a mistake along the way.

[tex]0.1x + 3 = 1.7[/tex]

Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]

Line 2 : [tex]0.1x = -1.3[/tex]

Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]

Line 4: [tex]x = -1.4[/tex]

Answer:

On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.

Step-by-step explanation:

Required

Where did she make a mistake?

To do this, we simply analyse her workings one step at a time

Equation: [tex]0.1x + 3 = 1.7[/tex]

Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]

This is correct because she subtracted 0.3 from both sides

Line 2 : [tex]0.1x = -1.3[/tex]

This is also correct because she performed the arithmetic correctly

Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]

This is incorrect.

Division by 0.1 is expected not subtraction

Answer:

It's C

Step-by-step explanation:

Answer:

13°C

Step-by-step explanation:

The number of hours that the temperature fluctuates is irrelevant to the problem.

This problem is asking how many degrees did the temperature increase in order to go back to 30°C after being decreased by 13°C.

Find the new temperature after it decreased:

If the temperature after decreasing is 17°C, it needs the same amount it was decreased by to go back to 30°C.

Therefore, the temperature subsequently increased by 13°C to go back to 30°C after being decreased by 13°C.

Answer:

b, c, d & e is the answer

Step-by-step explanation:

Answer:

8. the line the vertical

9. y=3/4x-10

Step-by-step explanation:

For number nine, you must find b with the information given if you were to use slope intercept form.

4= 3/4(-8)+b

4= -6+b

-10=6

Now, just plug this number back into the equation.

y= 3/4x-10

Answer:

jn and lp

Step-by-step explanation:

Answer: A edge 2021

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Sorry, I could have helped but I ain't seeing any diagram

Answer:

50 minutes

Step-by-step explanation:

so it takes 25 minutes to boil 10 egggs so right now we have to find out the how Long one egg cooks for so it’s 25/10 and the answer is 2.5 and 2.5 times 20 is 50 so it takes 50 mins to cook 20 eggs

Answer:

x=(1)/(3),-(3)/(2)

Step-by-step explanation:

Answer:

(- 3/2, 1/3)

Step-by-step explanation:

7x^2+10x-3=x^2+3x

7x^2+10x-3-x^2-3x=0

6x^2+7x-3=0

6x^2+9x-2x-3=0

3x x (2x+3)-(2x+3)=0

(2x+3)x(3x-1)=0

2x+3=0

3x-1=0

x1=- 3/2

x2= 1/3

Answer:

$0.56

Step-by-step explanation:

Cost of 3 1/3 pounds of beef at $1.35 per pound

= 3 1/3 × 1.35

= 10/3 × 1.35

= $4.5

He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $

= $4.5 / 8

= $0.5625

Approximately $0.56 to the nearest cent

The equation is 250+15x is that's what your asking

Answer:

$141.75

Step-by-step explanation:

(900)(-105) (13/12) or 1.5

Answer:

The difference of weight is [tex]2[/tex] pounds.

Step-by-step explanation:

Given:  The line plots shows the weights of [tex]9[/tex] grapefruits

To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex]  grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.  

Firstly, we need to convert the given mixed fractions as following:

[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]

[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]

Now, we know that,

Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.

In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh  others weigh.

We need to observe the dot diagram to know how many  grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many  grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of  [tex]\frac{3}{2} lb[/tex] and how many points there are about class of   [tex]\frac{5}{4} lb[/tex].

Then, the total difference between all grapefruit of  pounds and all grapefruit of pounds is calculated as follows:

[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]

Where

[tex]Z[/tex]: Weight difference

[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex]  grapefruit

[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit

Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex]  and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex]  pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]

Now,

[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]              

[tex]=\frac{9}{2} -\frac{5}{2}[/tex]                    

[tex]=\frac{4}{2}[/tex]            

[tex]=2[/tex]

Hence, for this case, the difference of weight is [tex]2[/tex] pounds.

Answer:

2/3?

Step-by-step explanation:

I'm not sure

Answer:yeA

Step-by-step explanation:

Yea

Answer:

yes

Step-by-step explanation:

Y=Mx + b is linear and in this case we have Y= 0x - 6 or Y=0x + (-6).

Answer:

it is a positive number because she was rising if she had been going down then the number would have become negative.

Step-by-step explanation:

Answer:

0.2667 is the decimal for this

Answer:

0.2bar6

Step-by-step explanation:

The decimal form of 4/15 is 0.2bar6. Divide the numerator by the denominator. 4/15= 0.2666...= 0.2bar(6) In the United States, the repeating decimal is represented with a bar above the repeating decimal.

Answer:

20.25

Step-by-step explanation:

i think its asking for the long side

the pythagorean theorem states that in a right triangle a^2+b^2=c^2

a is 19

b is 7

c is the long side

19^2= 361

6^2= 49

361+49=410

410 =c^2

square root of 410 = ~20.25

Answer:

[tex]hypotenuse = \sqrt{ {19}^{2} + {7}^{2}} \\ = \sqrt{361 + 49} = \sqrt{410} \\ = 20.25[/tex]

20.25 is the right answer.