Evaluate each expression if a=12, b=9, and c=4

b^2+2^a-c^2=?

Answer:

10.6

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Where a and b = the legs and c = hypotenuse

We are given two legs and need to find the hypotenuse

Given:

Short leg (a) = 7

Long leg (b) = 8

Hypotenuse = c

Now to find the value of c we simply plug in the values of the variables into the Pythagorean theorem and solve for c

Pythagorean theorem: a² + b² = c²

a = 7, b = 8, c = c

Plug in values

7² + 8² = c²

Now solve for c

Simplify exponents

49 + 64 = c²

Add

113 = c²

Taking the square root of both sides

c = 10.6 ( rounded to the nearest tenth )

Answer:

c = 10.6

Step-by-step explanation:

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ c {}^{2} = (8) {}^{2} + (7) {}^{2} \\ c = \sqrt{64 + 49} \\ c = \sqrt{113} \\c = 10.6[/tex]

Answer:

125

Brainliest, please!

Step-by-step explanation:

13x - y

x = 11, y = 18

13(11) - 18

143 - 18

125

Answer:

125

Step-by-step explanation:

13x - y

Substituting x = 11 and y = 18,

=> 13(11) - 18

=> 143 - 18

=> 125

The money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.

Given that,

Avery has three times as Jackie.

Also, Jackie has $6 lower than Samantha.

Together they have $56.

Based on the above information

Let us assume the Jackie be x

So, Avery should be 3x

Samantha should be x + 6

So, the equation should be

x + 3x + x + 6 = $56

5x = $56 - $6

5x = $50

x = $10

So, Jackie has $10

Avery has $30

And, Samantha has $16

Therefore we can conclude that the money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.

Learn more about the money here: brainly.com/question/10943652

Answer:

8,000 - (-400)

Step-by-step explanation:

Answer: 8,000 - (-400) =

Step-by-step explanation:

Answer:

3. MNP = OPN

Step-by-step explanation:

the second could be as well, but the sequence is the same for the third option, thus the second option is wrong

Hi

area of circle, which is call in proper math terme circumference ( latin for going around) is given by this formula :

2 times radius x pi

As math is all about knowing your formula and training, I let you have a shot. You wont progress other wise.

Ask in comment section if you are still blocked.

Answer:

29° C

Step-by-step explanation:

-17(-12)

=29

Hope this helps

Answer:

29C

Step-by-step explanation:

Above zero temperature = +17C

Below zero temperature = -12C

Difference= 17 - (-12C)

                 = 17 + 12 C

                 =29C

Answer:

I think the answer is x = 2

Answer: 2

Step-by-step explanation:

-6x+5=3-5x

+5x +5x

-x +5=3

-5 -5

-x = -2

-2 -2

X=2

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

Answer:

-3 - 16b

Step-by-step explanation:

by simply doing the multiplication and then add combinable terms.

9 - 4(3 + 4b) = 9 - 12 - 16b = -3 - 16b

Explanation:

Let's simplify step-by-step:

9-4(3 + 4b)

Distribute:

= 9 + (-4)(3) + (-4)(4b)

= 9 + (-12) + (-16b)

Combine Like Terms:

= 9 + (-12) + (-16b)

= (-16b) +(9 + (–12) )

= -16b + (-3)

Answer:

-16b + (-3)

Answer:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

3AC=CB

CB

AC

=

3

1

Since, A(1,1) and B(2,3) & m:n=1:3

Therefore, we have

C(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

(

1+3

(1)(2)+3(1)

,

1+3

(1)(3)+3(1)

)

C→(

4

5

,

2

3

).

Answer:

5x^2 +4x -6

Step-by-step explanation:

that is the answer

yep

Answer:

5x² + 4x - 6

Step-by-step explanation:

Subtract 2x² - 5x - 12 from 7x² - x - 18 , that is the opposite operation, that is

7x² - x - 18 - (2x² - 5x - 12) ← distribute parenthesis by - 1

= 7x² - x - 18 - 2x² + 5x + 12 ← collect like terms

= 5x² + 4x - 6

Step-by-step explanation:

Solution,

Let the total number of books be x, then

Books in English language=4800

40% of x=4800

40/100×x=4800

40x/100=4800

40x=4800×100

40x=480000

x=480000/40

x=12000

So the total number of books in the library is 12000.

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

Answer:

we need the image

Step-by-step explanation:

Answer:

y^-24, x^-2 y^-5, 1/ y^24, x^2/y^11, x^2y^-11 and 1/ x^2y^5

ok i tried searching up the problem and how to solve it but didn`t come up with much.

i don`t know if this changes anything, but I noticed that some of these answers are opposites

ex (from the sequence you gave me in the comments below)                                      : y^-24, x^-2, y^-5, y^24, x^2,  y^5

maybe thats what it meant by matching the expressions?

again, sorry if this wasnt much help i have a small brain DD::

Step-by-step explanation:

4x is the real answer of that question

Answer:

16= (x-4)^2 +(y+9)^2

Step-by-step explanation:

hey! The formula for the equation of a circle is r^2= (x-h)^2 + (y-k)^2

r= the radius (in your case you have the diameter so you do not need to square it)

(h,k)= is the center coordinates, so your center coordinate would be (4, -9). You now have your h (h=4) and your k (k=-9) so you can plug it in the formula! :)

a nice rating would help out

Answer:

1,000 pencils  

Step-by-step explanation:  

First, there are 10,000 cents in $100.  

So divide 10,000 by 10.  

1,000.

I hope this helps!  

pls ❤ and mark brainliest pls

Hi,

Answer is $0.19

Step-by-step explanation:-

We know that:-

15 dimes = $1.50

20 nickels = $1.00

8 quarters = $2.00

half dollar = $0.50

19 pennies = $0.19

Total = $5.19

Since Billy spended $5, so,

$5.19 - $5 = $0.19

Hope it helps you...

100-15=85%=SP

[tex]\\ \sf\longmapsto 85\%\times x=20000[/tex]

[tex]\\ \sf\longmapsto \dfrac{85}{100}x=20000[/tex]

[tex]\\ \sf\longmapsto x=20000\times \dfrac{100}{85}[/tex]

[tex]\\ \sf\longmapsto x=235.2(100)[/tex]

[tex]\\ \sf\longmapsto CP=23520[/tex]

Population growth represents the rate at which the population changes

Given that:

[tex]r_1 = 2[/tex] ----- i.e. when the population doubles

[tex]r_2 = \frac{1}{2}[/tex] ----- i.e. when the population cut in halves

Population growth is represented as: [tex]A_n = ar^{n}[/tex]

Organism A

For the first 5 days (when it doubles) is:

[tex]A_5 = ar_1^{5[/tex]

Substitute [tex]r_1 = 2[/tex]

[tex]A_5 = a\times 2^{5[/tex]

For the next 3 days (when it cut in halves) is:

[tex]A = A_5 \times r_2^3[/tex]

Substitute [tex]A_5 = a\times 2^{5[/tex] and [tex]r_2 = \frac{1}{2}[/tex]

[tex]A= a \times 2^5 \times (\frac{1}{2})^3[/tex]

Apply law of indices

[tex]A = a \times 2^5 \times 2^{-3[/tex]

[tex]A = a \times 2^{5-3[/tex]

[tex]A = a \times 2^{2[/tex]

So, the growth factor of organism A is:

[tex]A = a \times 2^{2[/tex]

Organism B

For the 8 days, we have:

[tex]B=ar_1^8[/tex]

[tex]B=a\times 2^8[/tex]

The expression (n) for the number of times the population of B is greater than A is:

[tex]n = \frac BA[/tex]

This gives:

[tex]n = \frac{a \times 2^8}{a \times 2^2}[/tex]

[tex]n = \frac{2^8}{2^2}[/tex]

Apply law of indices

[tex]n = 2^{8-2}[/tex]

[tex]n = 2^{6}[/tex]

The expression that is not in exponential form is:

[tex]n = 2 \times 2\times 2\times 2 \times 2\times 2[/tex]

[tex]n = 64[/tex]

Hence:

Read more about population growth at:

https://brainly.com/question/17520917

Answer:

Step-by-step explanation:

the equatoin is 4x+77=497

and x is the hours spent

so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105

Answer:

The first choice.

Step-by-step explanation:

It pass through the x axis at x = 3, so a factor must be (x - 3).

Answer:

The first option is correct :)

~Hope this helps

Answer:

Step-by-step explanation:

A rectangle has the perimeter of 66cm, and since a rectangle has 2 lengths and 2 widths, we can tell that 2 widths = 66-27*2 = 12

so 1 width is half of 12 which is 6

Answer:

1/5

Step-by-step explanation:

There are 5 yogurts in total.

(1 raspberry, 2 strawberry, 1 blueberry, 1 vanilla)

The chance of pulling a vanilla is 1/5.

Answer:

20%

Step-by-step explanation:

1/5 or 20% or 0.2 is the chance of finding vanilla yogurt

Answer:

(5,2)

Step-by-step explanation:

midpoint formula for future reference

(x1+x2/2),(y1+y2/2)

(3+7/2),(-5+9/2)

(10/2),(4/2)

(5,2)

Answer:

4,414,000,000

Step-by-step explanation:

4.414x10^9, move the decimal place 9 places to the left.