Evaluate the following expressions given x=6 and y=-3

Answer:

[tex]\displaystyle \log_7\frac{1}{81}\approx -2.2[/tex]

Step-by-step explanation:

We want to find:

[tex]\displaystyle \log_7{\frac{1}{81}}[/tex]

First, using the quotient rule:

[tex]\displaystyle \log_b\frac{a}{c}=\log_b a-\log_b{c}[/tex]

We can rewrite our expression as:

[tex]=\log_7 1-\log_7 81[/tex]

The logarithm of 1 is always 0. Therefore:

[tex]=-\log_781[/tex]

We can rewrite this as:

[tex]=-\log_7 9\cdot 9[/tex]

Using the product rule:

[tex]\log_b ac=\log_ba+\log_bc[/tex]

This is equivalent to:

[tex]=-(\log_79+\log_79)[/tex]

Substitute:

[tex]=-(1.1+1.1)=-2.2[/tex]

Answer:

C

Step-by-step explanation:

in y=mx+b, b= the y intercept

-2+8=6

Answer:

It's C.

Step-by-step explanation:

When you put y=x-2 into a graphing calculator, the y-intercept is -2. When I counted vertically 8 times, the y-intercept changed to 6.

Answer:

Equation A. 12x=87

Step-by-step explanation:

step 1. a12 = -5(12) + 32

step 2. a12 = -60 + 32

step 3. a12 = -28.

Answer:

c., a., a., and a.

Step-by-step explanation:

The y-intercept of the graph for Bacteria A will be at  

250

, which is  

higher than

the graph of Bacteria B.

The graph of Bacteria A will grow at  

a slower

rate compared with the graph of Bacteria B.

The graph of Bacteria A is  

f, the red graph

.

Answer:

b

Step-by-step explanation:

Answer:

z = 6

Step-by-step explanation:

[tex]8z-36=2z\\6z-36=0\\6z=36\\z=6[/tex]

Answer:

6+6=12 12%3

ese seria el resultado

Answer:

<J = 45

Step-by-step explanation:

180 - 90 = 90

90/2 (because 2 angles are left) = 45

also <K will equal 45 as well

Answer:

6m

Step-by-step explanation:

Set up a proportion:

x/1.5=10/2.5

Cross multiply:

15/2.5=2.5x/2.5

x=6

The palm tree is 6m tall.

Hope this helps!

Answer:

69% × 690 =

(69 ÷ 100) × 690 =

(69 × 690) ÷ 100 =

47,610 ÷ 100 =

476.1

Step-by-step explanation:

Answer:

4 ft by 8 ft

Step-by-step explanation:

Answer:

D. 4ft by 10ft

Step-by-step explanation:

Since each square represents 4 feet and the door is 2 blocks plus a bit up it can't be 8 ft since 8ft would only be 2 blocks exactly, this also rules out B since 12 ft would need to be 3 blocks high. this leaves A and D. The third square is only half of a normal square which means its half of 4, 2. You add this to 8 to get 10.

Tis communitive property.

Okeh bye

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

B. commutative property

o.o

Step-by-step explanation:

sorry bud you ran out of time reading this

Answer:

Option D

Step-by-step explanation:

We are given the two points of (5, 11) and (-5, -1).

Use the slope formula.

[tex]m=\frac{rise}{run}=\frac{-1-11}{-5-5} =\frac{-12}{-10} =\boxed{\frac{6}{5}}[/tex]

The correct option should be Option D.

Hope this helps you.

Answer:

$20

Step-by-step explanation:

20 x .2 = 4

20 - 4 = 16

Answer:17

Step-by-step explanation:

trust me its right, no cap

As per compound interest,  it would take 17 years for the value of the account to reach $2,550

If the invested amount is 'P', the rate of interest is r%, and the time of investment is 'n' years, then the compound interest after mentioned duration is = P[1 -  [tex]e^{rn}[/tex]]

Given, the invested amount (P) = $790.

Rate of interest (r) = 6.9% = 0.069.

Let, the amount is invested for 'n' years.

The value of the amount after 'n' years = $2550.

Now, as per compound interest:

A = P. [tex]e^{rn}[/tex]

⇒ 2550 = 790 [tex]e^{(0.069n)}[/tex]

⇒ [tex]e^{(0.069n)}[/tex] = (2550 ÷ 790)

⇒ [tex]e^{(0.069n)}[/tex] = 3.23

⇒ 0.069n = 1.172

⇒ n = 17

Learn more about compound interest here: https://brainly.com/question/20903348

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Answer:

B

Step-by-step explanation:

Answer:

B. X > 0

Step-by-step explanation:

The dot it at 0, but is not filled in, so that means that it is not equal to.

The arrow is pointing to terms greater than 0 which can be described as (X). Since X is greater than 0, and not equal to 0, we get B as our answer.

The solution of the inequality  5(x + 1) - 10 ≥ 2x + 3(2x + 2) is x ≤ - 16/3.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Inequality is 5(x + 1) - 10 ≥ 2x + 3(2x + 2).

5x + 5 - 10 ≥ 2x + 6x + 6.

5x + 5 - 10 ≥ 8x + 6.

5x - 8x ≥ 10 + 6.

- 3x ≥ 16.

3x ≤ - 16.

x ≤ - 16/3.

learn more about inequalities here :

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Answer: 0.18

Step-by-step explanation:

Answer:

0.18

Step-by-step explanation:

I just got it correct

Answer:

-55

Step-by-step explanation:

If this answer helped you then please consider making this brainliest and thank this response :)

Answer:

The answer is -4

Step-by-step explanation:

Answer: $67.20

Step-by-step explanation:

56 × 0.2 = 11.2

11.2 + 56 = $67.20

Answer:

=3x^2+4

Step-by-step explanation:

Subtract 8 from 12.

3x^2+4

Answer:

The answer would be B

Step-by-step explanation:

Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X.

Answer:

yes

Step-by-step explanation: The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Answer:

x= -10 and true

Step-by-step explanation:

if you plug -10 in for x you get -22=-22 which makes it true