What is the distance between (-6, 8) and (-3,9)?
Choose 1 answer.
4
6
√10
√15​

Answer:

The growth rate is 35%

Step-by-step explanation:

We are given that the amount of people in a population can be determined by using the model :

[tex]y=1000(1.35)^x[/tex]

Formula of exponential growth : [tex]y=a(1+r)^t ----1[/tex]

Where y is the population in t years

a = Initial population

r = growth rate

The given equation can be written as [tex]y=1000(1+0.35)^x[/tex]

Om comparing it with 1

r = 0.35

So, Growth rate = 35%

Hence The growth rate is 35%

This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.

Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3

-3 plus -3 = -6

-3 times -3 = 9

So this is why x^2-6x+9 = (x-3)(x-3)

We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.

Answer:

C. (x-3)(x-3)

Step-by-step explanation:

x² - 6x + 9 = 0

x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3) (x - 3) = 0

Answer:

Y=9000(1.09)^X

Step-by-step explanation:

Answer: x=5

Step-by-step explanation:

Simplify to 2x+ 3x -5 to 5x-5

5x- 5 = 20

Add 5 to both sides.

5x= 20+5

Simplify 20+5 to 25.

5x= 25

Divide both sides by 5.

x= 25/5

Simplify 25/5 to 5.

x=5

Answer:

The age of the car in years is the independent variable

The average miles is the dependent variable

Step-by-step explanation:

Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.

Hope this makes sense :)

Answer:

[tex] 0.61 \leq p \leq 0.70[/tex]

And for this case we can estimate the proportion of households who recycle paper is given by:

[tex] \hat p = \frac{Upper +Lower}{2}[/tex]

And replacing we got:

[tex] \hat p =\frac{0.7+0.61}{2}= 0.655[/tex]

And for this case the answer is 0.655 for the proportion of households who recycle paper

Step-by-step explanation:

For this case we know that the confidence interval for the proportion of interest is given by:

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

And for this case the confidence interval is given:

[tex] 0.61 \leq p \leq 0.70[/tex]

And for this case we can estimate the proportion of households who recycle paper is given by:

[tex] \hat p = \frac{Upper +Lower}{2}[/tex]

And replacing we got:

[tex] \hat p =\frac{0.7+0.61}{2}= 0.655[/tex]

And for this case the answer is 0.655 for the proportion of households who recycle paper

Answer:

this answer is correct because i just took the test

Step-by-step explanation:

Answer:

The temperature in Carlton was always cooler than in Borden.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

288.64

this is the real answer the last one was a mistake

Answer:

Width of Pathway; 2 meters

Step-by-step explanation:

To determine the width of the pathway we can tell that the length of the ends ( in meters ) is distributed among the two other ends of the garden so that the width ⇒

Increase length on one side * 2, if increased length / width ⇒ x, 2x

From this we can formulate an equation based on the lengths of the garden, as the increased lengths represents the side lengths of the total area ( walkway + garden );

( 12 + 2x )( 6 + 2x ) = 160 ⇒ Expand,

72 + 36x + 4x^2 = 160 ⇒ Subtract 160 on either side,

4x^2 + 36x - 88 = 0 ⇒ Factor,

4 * ( x - 2 ) * ( x + 11 ) = 0 ⇒ Use Zero Factor Principle,

x = 2, and x = - 11;

Now the width can only be a positive value, thus;

Solution; Width ⇒ 2 meters

Answer:

1 room-8hr (with friend)

alone- -12hr

friend working alone- x-12

Here is the base for you

hope this helps

Step-by-step explanation:

Answer:

4.87 × 10-5

Step-by-step explanation:

Hopes this helps.

The answer is 4.87 x 10^-5

Answer:

30 years

Step-by-step explanation:

41 minus 11=

Answer:

27648inches÷64inches=432 tiles

Step-by-step explanation:tiles cost 3456

Answer: 4.722

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

hmm

um i don't think I could solve this why not try ta scan math i

Answer: sjsjsjdjffj

Step-by-step explanation:

Answer:

The first side of the triangle = 180 cm

The second side of the triangle = 60 cm

The third side of the triangle =130 cm

Step-by-step explanation:

To solve this, we will follow the steps below;

First, re-write the question in a mathematical format and then solve;

let a=the first side of the triangle

b=the second side of the triangle     and

c=the third side of the triangle

"The first side of a triangle is three times as long as the second side" can be re-write mathematically as:

a=3b ------------------------------------------------(1)

"the third side is 50 cm shorter than the first side" can be re-write as :

c=a-50-----------------------------------------------(2)

"perimeter is 370"  can be re-write as:

a + b + c = 370 --------------------------------------(3)

from equation (2), make b subject of the formula; a= 3b

b=a/3  ------------------------------------(4)

substitute equation (2)   and (4) into equation (3)

a + b + c = 370

a+[tex]\frac{a}{3}[/tex] + a-50 = 370

add 50 to both-side of the equation

a+[tex]\frac{a}{3}[/tex] + a-50 + 50= 370 + 50

a+[tex]\frac{a}{3}[/tex] + a= 420

[tex]\frac{3a + a + 3a}{3}[/tex]  = 420

[tex]\frac{7a }{3}[/tex] = 420

multiply both-side of the equation by 3

[tex]\frac{7a }{3}[/tex] ×3= 420×3

7a = 1260

Divide both-side of the equation by 7

[tex]\frac{7a}{7}[/tex]  =  [tex]\frac{1260}{7}[/tex]

a= 180

from equation (4)   b = a/3

b = 180/3 = 60

from equation (2)  c= a- 50

c= 180 - 50

c= 130

a=   180 cm    

b = 60 cm

c= 130 cm

Therefore,the first side of the triangle = 180 cm

the second side of the triangle = 60 cm

the third side of the triangle =130 cm

Answer:

199

Step-by-step explanation:

I believe it's 199. The interval is just 5.

Answer:

the answer is going to be more than 11111111111119 (this is the 26th term)

Step-by-step explanation:

Answer:32.5

Step-by-step explanation:

585/18

Answer:

y^2+3y+9/4

Step-by-step explanation:

y^2+3y+

Take the coefficient of y

3

Divide by 2

3/2

Square it

(3/2)^2 = 9/4

Add it

y^2+3y+9/4

Answer:

Step-by-step explanation:

If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;

y is the area of the wetland after x years

In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;

[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]

The area of the wetland in 2 years based on the biologist prediction will be 4225 acres

Answer:

4225

Step-by-step explanation:

Answer:

7/30

Step-by-step explanation:

First we need to find the number of girls on the Newcastle team, which is the total number of girls minus the number of girls on the other team, giving us 20-6=14. This means the number of player total is 3+7+6+14 or 30 players. There are 7 Sunderland boys so we have 7/30

Answer:

The answer is D: $1.20.

Step-by-step explanation:

1. The overall cost is $6

2. There are 5 candy bars

3. Assuming of the bars cost the same, we can find out the cost per bar

4. To do that, we take our overall cost $6, and we divide it by 5

5. 6/5=1.20 which is why the answer is D: $1.20

Answer:

D.$1.20

Step-by-step explanation:

Answer:

A. 16 pieces

Step-by-step explanation:

If Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons, after 8 weeks of voice lessons, Jodi be able to sing 16 pieces.

2 x 2 =4

8 x 2= 16

Therefore the answer is 16.

Hope this helps and I explained it well enough !

Have a nice day.

Step-by-step explanation:

7x + 8 + 15 - 7x

Solving like terms

23

Option C is the correct answer

Answer:

23

Step-by-step explanation:

Given

(7x + 8) + (15 - 7x) ← remove parenthesis

= 7x + 8 + 15 - 7x ← collect like terms

= 23

Answer:

i think the letter d is the correct answer sorry if im wrong

Answer:85

Step-by-step explanation:

360-119-71=170

170÷2=85