Which expression would be easier to simplify if you used the associative property to change the grouping? O A. (170 + 30) – 41 OB. 3+ (-3) OC. [(-0.1) + (-0.3)] + 2.4 o D. –} + [(-5)+​

Answer:

a) [tex]\log_{9} 8 + \log_{9} 11 = \log_{9} 88[/tex]

b) [tex]\log_{7} 11 - \log_{7} 3 = \log_{7} \frac{11}{3}[/tex]

c) [tex]\log_{7}\frac{1}{81} = -4\cdot \log_{7} 3[/tex]

Step-by-step explanation:

Now we proceed to solve each case by appropriate rules for logarithms.

a) The following property shall be used: [tex]\log_{c} a +\log_{c} b = \log_{c} a\cdot b[/tex] ([tex]a = 8[/tex], [tex]b = 11[/tex], [tex]c = 9[/tex])

[tex]\log_{9} 8 + \log_{9} 11 = \log_{9} 8\cdot 11[/tex]

[tex]\log_{9} 8 + \log_{9} 11 = \log_{9} 88[/tex]

b) The following property shall be used: [tex]\log_{c} a - \log_{c} b = \log_{c} \frac{a}{b}[/tex] ([tex]a = 11[/tex], [tex]b = 3[/tex], [tex]c = 7[/tex])

[tex]\log_{7} 11 - \log_{7} 3 = \log_{7} \frac{11}{3}[/tex]

c) The following properties shall be used: [tex]\frac{1}{d} = d^{-1}[/tex], [tex]\log_{c} a^{b}[/tex]

[tex]\log_{7} \frac{1}{81} = \log_{7} 81^{-1}[/tex]

[tex]-\log_{7} 81[/tex]

[tex]-\log_{7} 3^{4}[/tex]

[tex]\log_{7}\frac{1}{81} = -4\cdot \log_{7} 3[/tex]

Answer:yes, by SAS

Step-by-step explanation: a e makes the angle and b b finishes the equation brainliest plz thanks

Answer: loaded or leading question

Step-by-step explanation:

Loaded or leading questions aim to elicit a particular response from the respondents by including an assumption that makes people feel bad or good if they answer in a certain way. It essentially plays on their emotions and ideals.

The question in the survey is a loaded question because in saying/assuming that the veto will be able to eliminate waste, it makes people more likely to vote in the affirmative as they would want the president to either get rid of waste or would feel bad if they did vote for such an environmental endeavour.

Answer:

yes as far as i can see and tell

Step-by-step explanation:

Answer:

x=54 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

In this case, angle 126 and angle x are supplementary.

126+x=180

x=54 degrees.

Let me know if this helps!

Answer:

Probability = 2/2

Answer:

7.5%

Step-by-step explanation:

280 - 259 = 21

21 / 280 = 0.075 = 7.5%

Answer: 14/16

Step-by-step explanation:

Answer:

14/8 BUT Simplified even further = 7/8

Step-by-step explanation:

Answer:

a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion

Step-by-step explanation:

Answer:

2:1

Step-by-step explanation:

First we convert 3 pounds into ounces which is 3x16 because 1 pound=16 ounces. So 48 ounces=3 pounds. So know we have the ratio 48:24 which we can simplify to 2:1

Hope this helps :)

The required simplest ratio for 3 pounds to 24 ounces is 1 : 8.

Given that,
3 pounds to 24 ounces write each ratio in simplest form is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Here,
The ratio of 3 pounds to 24 ounces,
Simplest form = 3 / 24 = 1 / 8.

Thus, the required simplest ratio for 3 pounds to 24 ounces is 1 : 8.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ5

Answer:

8

Step-by-step explanation:

so openeing the parenthesis we get

a2+2ab+b2=10

a2+2(1) +b2=10

a2+2+b2= 10

a2+b2=8

if my answer helps please mark as brainliest

9514 1404 393

Answer:

  a = 14.9

  b = 11.1

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

In this triangle, that means ...

  sin(48°) = b/a

  cos(48°) = 10/a

Using the cosine relation, we can find 'a':

  a = 10/cos(48°) ≈ 14.9

Then using the sine relation, we have ...

  b = a·sin(48°) ≈ 11.1

_____

Additional comment

When computing 'b', the full precision value of 'a' should be used.

Answer:

0

Step-by-step explanation:

are given:

\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}

sin(x)−2

sin

2

(x)−sin(x)−2

To make it simpler and more clear, we can let u = sin(x). So:

\displaystyle \frac{u^2-u-2}{u-2}

u−2

u

2

−u−2

Now, it becomes obvious that we can factor, which produces:

\displaystyle =\frac{(u-2)(u+1)}{u-2}=

u−2

(u−2)(u+1)

Cancel:

=u+1=u+1

And substituting back:

=\sin(x)+1=sin(x)+1

Hence, our answer is A.

Answer: 138.557

Step-by-step explanation:

Answer:

hey :( so just wondering hru ummm and u were right and umm ig i am just gonna f my life up always umm hru ?

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

57-29.5 / 10-5 = 5.5

Answer:

5.5

Step-by-step explanation:

The rate of change of a relationship is the ratio of corresponding changes in value. Symbolically, we indicate a change with the greek letter Δ (pronounced "delta"). A change in x is written Δx ("delta eks") and a change in y is written Δy ("delta why"). We're looking for the ratio Δy/Δx ("delta y over delta eks").

Mathematically, Δx and Δy are the differences between two corresponding x an y values. To pick these, we can take any two rows in our table. Let's pick rows 4 and 2, nice whole numbers:

[tex]\Delta{x}=20-10=10\\\Delta{y}=112-57=55\\\Delta{y}/\Delta{x}=55/10=11/2=5.5[/tex]

We can confirm that this holds for every other pair, too - picking rows 2 and 1 as an example:

[tex]\Delta{x}=10-5=5\\\Delta{y}=57-29.5=27.5\\\Delta{y}/\Delta{x}=27.5/5=275/50=11/2=5.5[/tex]

Answer:

we have

m<2=m<7

4x+2=5(x-2)

4x+2=5x-10

10+2=5x-4x

x=12

Answer:

loss, 144 yds loss

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

cause i said so

Answer:

Mean= 7

Step-by-step explanation:

The numbers are 5, 7, 9

Mean= sum of numbers/ total numbers

= 5+7+9/3

= 21/3

= 7

Hence the mean is 7

Answer:

the question is not valid with "obj."

9514 1404 393

Answer:

  1,323

Step-by-step explanation:

The smallest positive number divisible by both 49 and 27 is ...

  49×27 = 1,323

__

49 and 27 have no common factors, so the least common multiple is their product.

Answer:

£212.5

Step-by-step explanation:

15% of 250 = 37.5

250 - 37.5 = 212.5

Other Federalists claimed that the new government could not violate the people's rights because it only had limited powers. However, most state legislatures refused to ratify the Constitution without the Bill of Rights being added to the document.

Answer:

Step-by-step explanation:

You'll be given an equation that contains an x and a y.

You'll also be given an ordered pair. Plug the ordered pair into the equation and see if the equation is true.

For example:

Is (0,4) a solution to the equation 2x+3y = 15 ?

Plug the coordinates of (0,4) into the equation:

2·0 + 3·4 = 15

This simplifies to 12 = 15, which is obviously false, so (0,4) is not a solution to the equation.

Answer:

It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

:)

Answer: Choice B

It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

A. It is a smaller scalene triangle than the original triangle.

B.(It is a same size scalene triangle as the original triangle.)

C.It is a larger scalene triangle than the original triangle.

Step-by-step explanation:

2. x =101

3. x= 120

4. x= 30

I am very confused in question no 1 and 5 th .

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful .

Answer:

a. Radius of DA - 2 cm.

b. Area of rectangle ABCD -

c. Area of shaded - 8-4π

d. Perimeter of shaded region - also 8-4π

Hope this helps!