4) TRUE OR FALSE: Logarithms and Exponentials are inverses of each other 1 point
if their bases are the same!*
True
False

Answer:

3 units

Step-by-step explanation:

Equation of the circle is:

[tex] (x+3)^2 +(y+1)^2=r^2 [/tex]

[tex] \therefore [x-(-3)] ^2 +[(y-(-1)] ^2=r^2 [/tex]

Equating it with

[tex] (x-h)^2 +(y-k)^2=r^2 [/tex]

We find: h = - 3 & k = - 1

Center of the circle (C) = (-3, - 1)

Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.

Therefore,

[tex] r = \sqrt{[-3-(-3)]^2 +[2-(-1)]^2} [/tex]

[tex] r = \sqrt{[-3+3]^2 +[2+1]^2} [/tex]

[tex] r = \sqrt{[0]^2 +[3]^2} [/tex]

[tex] r = \sqrt{0 +9} [/tex]

[tex] r = \sqrt{9} [/tex]

[tex] r = 3\: units [/tex]

Answer:

12796 cm²

Step-by-step explanation:

[tex]SA=2(lw+lh+wh)[/tex] where l is the length, w is the width and h is the height

Plug in 42 as l, 35 as w and 64 as h

[tex]SA=2(42*35+42*64+35*64)\\SA=2(1470+2688+2240)\\SA=2(6398)\\SA=12796[/tex]

Therefore, the surface area of the figure is 12796 cm².

I hope this helps!

Answer:

TSA = 2(lb + bh + lh)

TSA = 2(64 × 42 + 42 × 35 + 64 × 35)

TSA = 2(6398)

TSA = 12796 cu. cm

[tex] \\ [/tex]

Answer:

no es primo

Step-by-step explanation:

El 14 es un número compuesto. Es divisible por 1, por 2, por 7 y por 14.

Answer:

D

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

4-3=7 7x3= 54 54-13= 47

Answer:

7:1

Step-by-step explanation:

Answer:

17.5  

Step-by-step explanation:

180 = 40+ 8x

140 = 8x

17.5  = x

Answer:

17.5 is the correct answer to the question

Step-by-step explanation:

8x+40=180

8x=180-40

8x=140

X=140/8

X=17.5

Answer:

Uhhh

Step-by-step explanation:

Answer:

9/40

Step-by-step explanation:

Tan of an angle equals the length of the side opposite the angle divided by the length of the leg adjacent to the angle. Thus, for angle C, AB is opposite it, which is 9, and although both CA and CB are adjacent, adjacent typically refers to the leg, not the hypotenuse, so we want CB, which is 40. Opposite/Adjacent = 9/40

Answer:

y = x - 10

Step-by-step explanation:

10 less than x would be written as x - 10, and subtracting 10 from x would ensure y (the output) is always less than the number you put in for x

[tex]\huge{\mathbb{\tt { ANSWER↓}}}[/tex]

[tex]\color{purple}{\tt{y=x−5}}[/tex]

[tex]\huge{\mathbb{EXPLANATION↓}}[/tex]

[tex]\green{\boxed{\boxed{\sf{For \: This \: Part \: Just \: Click \: the \: file \: attatched \: (photo)}}}}[/tex]

[tex]\color{orange}{\tt{Rewriting \: it \: yields:}}[/tex]

[tex]\color{blue}{\tt=y=x−5}[/tex]

#CarryOnLearning

#LetsEnjoyTheSummer

Answer:

y = -2x + 3

Step-by-step explanation:

Let's just put the three points together.

(-1, 5) (-4, 11) (-7, 17)

First, let's find the slope with y2 - y1/x2 - x1

Plug in using (-1, 5) and (-4, 11)

11 - 5/-4 + 1 = 6/-3 (simplify)

-2 is the slope

Now plug in (-7, 17) in the equation to get b or the y-intercept)

y = mx + b

17 = -2(-7) + b

17 = 14 + b (subtract 14 on both sides)

3 = b

y = -2x + 3

Answer:

60 is the correct answer

Answer:

44

Step-by-step explanation:

Answer:

3% of 1700 is 51

Step-by-step explanation:

3% is the same thing as 0.03 so when you find a percentage of something, you multiply that number by the percentage. In this case, it is 3% of 1700 so you multiply 1700 by 0.03 to get your final answer of 51.

I hope this helps!

Answer:

10

Step-by-step explanation:

40/4=10

Answer:

A

Step-by-step explanation:

14/20 = 7/10 = 70%

Answer:

A

Step-by-step explanation:

The answer would be A because  remeber 14 out of 20 is so close, so chose the closest number to make 100%.

Answer:

10.2*6.3=64.26

Step-by-step explanation:

Solve 102*63, then move the decimal point two numbers from the right:

Since 102*63=6426, then moving the decimal point two numbers from the right will mean 10.2*6.3=64.26

Answer:

64.26

Step-by-step explanation:

This is a simple multiplication

When you 'multiply' or 'times' even a product of a number you add it to itself a number of times, for this problem, 10.2 multiplied by 6.3 is the same as saying 10.2 + 10.2 + 10.2 = 64.26. Multiplication is therefore a quicker way of adding the same number many times, for example, 10.2 × 6.3 = 64.26. Therefore, the product of 10.2 and 6.3​ is 64.26.

Answer:

Step-by-step explanation:

area of side face=(37+15)/2 ×25.7=26×25.7 cm²

volume=26×25.7×20=13364 cm³

Answer:

1

Step-by-step explanation:

Answer:

C= 25$ + 50$ * h

8 hours 425$

10 hours 525$

Step-by-step explanation:

Answer:

y = 20x + 15

The total cost for 8 hours of work will be $175

Step-by-step explanation:

To find the total cost for 8 hours of work, substitute the x in the equation with 8, and solve. 20 times 8 is 160. 160 + 15 is 175.

Answer:

54 boxes

Step-by-step explanation:

Dimension of crate = 12 in by 18 in by 12 in

Volume of crate = (12 * 18 * 12) = 2592 in³

Dimension of box = 4 in by 2 in by 6 in

Volume of box = (4 * 2 * 6) = 48 in³

Number of boxes of soup that will fill each crate :

Volume of crate / volume of box

2592 in³ / 48 in³

= 54 boxes

Hope it helps you!.........

Answer:

1st Equation: -8x + y = 22

At (-2,6)

(-8*-2)+ 6 =16+6= 22: That is correct

2nd Equation: -8x - y =10

At (-2,6)

(-8*-2)-6= 16-6= 10: That is correct

Both are correct.

Hope it helps you.

Answer:

7/1 you can simplify the top and bottom by 3

Step-by-step explanation:

Answer:

503

Step-by-step explanation:

1/2(20) × 52 - 17 = (10)(52) - 17 = 503