(Sorry, I forgot to post the graph on the last one) The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equation for the curve of best fit, then estimate the depth of water at a temperature of 50 degrees F.

Answer:

a+b

Step-by-step explanation:

or any letter as long as it has the plus sign

The required expression for the given property is 8(9 + 3).

The distributive property for the product of a sum of numbers to other numbers states that it is equivalent to the sum of individual products. It can be written as a(b + c) = ab + ac.

The given expression is 72 + 24

In distributive form it can be written as,

GCF of 72 and 24 is 8.

Then, 72 = 8 × 9 and 24 = 8 × 3

Now, the given expression can be rewritten as below,

8 × 9 + 8 × 3

Take 8 as common to get,

8(9 + 3)

Hence, the expression that represents the distributive property is 8(9 + 3).

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Answer:

x = 25.

Step-by-step explanation:

Original cost per person:: 2000/x

Changed cost per person:: 2000/(x-5)

---------------------------

Equation:: changed - original = 20

2000/(x-5) - 2000/x = 20

2000x - 2000x + 2000*5 = 20x(x-5)

10000 = 20x^2-100

----

500 = x^2 - 5x

------------------

x^2 - 5x - 500 = 0

(x+20)*(x-25) = 0

-----

Only positive root makes sense ====> x = 25.

Answer:

35

Step-by-step explanation:

Area is multiplication! Volume is adding so just add!

Answer:

50 miles

Step-by-step explanation:

I dont really have a step by step explanation, sorry

Answer:

s=2

Step-by-step explanation:

6=3s

6/3=3s/3 divide both sides by 3

2=s

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.

Step-by-step explanation:

Two linear equations with two variables have infinite solution if and only if they are linearly dependent. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:

[tex]2\cdot x + y = 6[/tex] (1)

[tex]a\cdot x + b\cdot y = 9[/tex] (2)

The following condition must be observed:

[tex]r = \frac{a}{2} = \frac{b}{1} = \frac{9}{6}[/tex] (3)

After some quick operations, we find the following information:

[tex]r = \frac{3}{2}[/tex], [tex]a = 3[/tex], [tex]b = \frac{3}{2}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.

Answer:

solution given:

Area of triangle ABC=½b×h=½×18×21=189km²

Area of square DEFG=l²=9²=81km²

Area of rectangle DHIJ=l×b=4×13=52km²

Total area =189+81+52=322 square kilometers.

Answer:

[tex] \rm\displaystyle A _{ \text{total}} = 322 {km}^{2} [/tex]

Step-by-step explanation:

refer the attachment

we have a triangle,a rectangle and a square

in order to figure out the area of the total figure we need to figure out the area the attached figure first

the triangle has a base of 18 km and a height of 13+6+2=21km

thus,

the area of the triangle is

[tex] \displaystyle \frac{1}{2} \times 18 km\times 21km[/tex]

reduce fraction:

[tex] \displaystyle 9 km\times 21km[/tex]

simplify multiplication:

[tex] \displaystyle 189 km ^{2} [/tex]

the rectangle has a length of 13km and a width of 4km

thus,

the area of the rectangle is

[tex] \displaystyle 13km \times 4km[/tex]

simplify multiplication:

[tex] \displaystyle {52km}^{2} [/tex]

the length of every sides of the square is 9km

thus,

the area of the square is

[tex] \displaystyle {(9km)}^{2} [/tex]

simplify square:

[tex] \displaystyle {81km}^{2} [/tex]

[tex] \rm\displaystyle A _{ \text{total}} = A_{ \text{triangle}} + A_{ \text{rectangle}} + A_{ \text{square}}[/tex]

substitute:

[tex] \rm\displaystyle A _{ \text{total}} = 189 {km}^{2} + 52 {km}^{2} + 81 {km}^{2} [/tex]

simplify addition:

[tex] \rm\displaystyle A _{ \text{total}} = 322 {km}^{2} [/tex]

Answer:

here

h=x,p=15,b=9

using pythagoras theorem

h^2=p^2+b^2

x^2=15^2+9^2

x^2=225+81

x^2=306

x=3 √34 is the answer

Answer:

1. (7x+2)

2. 2 - 3x/4

Answer:

We can’t solve for x and y

Step-by-step explanation:

Answer:

Uhmm We can't do that

Step-by-step explanation:

Answer:

495 ft²

Step-by-step explanation:

To answer this, you need to subtract the area of the rhombus from the area of the square.

SQUARE:

A = bh

25x25=625

RHOMBUS:

A = bh

13 x 10 = 130

625 - 130 = 495

Answer:

x = 32

Step-by-step explanation:

Using the Secant and Tangent Intersection Theorem we can say;

(x + 18) (18) = 30²

18x + 324 = 900

18x = 576

x = 32

Hope this helps!

Answer:

Equilateral triangle

Step-by-step explanation:

Equalateral triangles has 3 60 degre angles, and 3 congruent sides

Answer:

84 feet long

Step-by-step explanation:

Answer:

Entire perimeter = 169in

Step-by-step explanation:

add all the inches up

The perimeter of the polygon drawn is the sum of its entire sides , which is 169 inches.

Given the polygon with the measure of its exterior :

The perimeter of the polygon is the sum of the exterior sides of the figure given :

Therefore, the perimeter of the polygon is 169 inches .

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Answer:

d. How many animals weigh at least 15 pounds?

Step-by-step explanation:

The histogram displayed holds information about the number of animals who have a certain certain weight interval. Hence, answering questions about a point weight such as the number of animals whose weight is 4.9. This is a point value and such information given by the histogram.

Similarly, number of animals for intervals which aren't Cleary and explicly stated on the horizontal x - axis of the histogram cannot be determined by the histogram such as ; number of animals weighing less than 8 pounds and number of animals weighing between 5 and 10 pounds.

However, the number of animals weight less Than 15 pounds can be obtained from the histogram. This includes the sum give by the first, second and third bar. This is about (8 + 17 + 10) = 35 animals.

Answer:

1 hour

Step-by-step explanation:

Answer:

13 1/3 miles per hour

Step-by-step explanation:

Take the distance and divide by the time

1 1/3 ÷ 1/10

Change to an improper fraction

4/3 ÷ 1/10

Copy dot flip

4/3 * 10/1

40/3 miles per hour

changing to a mixed number

13 1/3 miles per hour

Answer:

6 cm

Step-by-step explanation:

1 cm : 9 meters -->  1cm/9m

? cm : 54 meters -->  ?cm/54m

[tex]\frac{1}{9}=\frac{?}{54}; 54*\frac{1}{9}=?;6=?[/tex]

Answer:is 6cm

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

b x h is finding a square or rectangle, but since a triangle is half of a rectangle or square you can divide that by 2. So, 8 (b) x 4 (h) = 32, 32 / 2 = 16. Hope this helps! :D

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

Answer:

What kind of "parallelogram" is that?

1344 in.²

Step-by-step explanation:

8 in. · 14 in. · 12 in.

1344 in.²

Answer:

4n

Step-by-step explanation:

I don't know if I did it right but I hope I did sorry if wrong

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex] \sqrt{56 + ( - 7)} \\ = > \sqrt{56 - 7} \\ \\ = > \sqrt{49} \\ = > 7 [/tex]

[tex] \sqrt{56 + ( - 7)} [/tex]

[tex] \sqrt{49} [/tex]

[tex] \sqrt{7²} [/tex]=±7

is your answer

Answer:

given:

height[h]=8mm

radius [r]=5mm

Now,

Volume of cone=1/3 πr²h=⅓×3.14×5²×8=209mm³

C) 209 mm³ is a required answer.

Answer:

c

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

subject?

Step-by-step explanation:

2x+y=3

y=3-2x.....eqn (1)

x=3y+5.....eqn(2)

substituting the value of y from eqn 1

x=3(3-2x)+5

x=9-6x+5

x+6x=14

7x=14

x=14/7

x=2

substituting the value of x in eqn 1

y=3-2×2

y=3-4

y=-1

therefore,

x=2

y=-1

Answer: Yes, they are independent because P(Texas) ≈0.45 and P(Texas/Brand A)≈0.45