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grin007 [14]
2 years ago
8

PLS HELP WILL GIVE BRAINLIEST

Mathematics
1 answer:
wlad13 [49]2 years ago
7 0

Answer:

32 percent

Step-by-step explanation:

8,000×400÷100

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Use the properties of logarithms to prove log, 1000 = log2 10.
Leto [7]

Given:

Consider the equation is:

\log_81000=\log_210

To prove:

\log_81000=\log_210 by using the properties of logarithms.

Solution:

We have,

\log_81000=\log_210

Taking left hand side (LHS), we get

LHS=\log_81000

LHS=\dfrac{\log 1000}{\log 8}                  \left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]

LHS=\dfrac{\log (10)^3}{\log 2^3}

LHS=\dfrac{3\log 10}{3\log 2}                   [\because \log x^n=n\log x]

LHS=\dfrac{\log 10}{\log 2}

LHS=\log_210                    \left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]

LHS=RHS

Hence proved.

6 0
3 years ago
Perform the subtraction 33.5 - 6.02
fredd [130]
33.50 - 6.02 = 27.48
3 0
3 years ago
Sydney bought a 4-pound bag of brown rice at the grocery store. The nutritional information showed that the bag
FromTheMoon [43]

Answer:

1.72973 oz/serving.  Perhaps round to 1.73 oz, although there is only 1 sig fig in "4-pound bag."  But the problem states "exactly."

Step-by-step explanation:

We want oz/serving, so let's convert the pounds of rice to total ounces of rice:

We are told that 16 oz = 1 pound.  Make that a conversion factor:  (16 oz/1 pound)

(4 pounds)*((16 oz/1 pound) = 64 ounces

We are told that 4 pounds (64 ounces) makes 37 servings.  So:

(64 ounces)/(37 servings) = 1.72973 oz/serving

5 0
2 years ago
Adding/Subtracting rational expressions
Leona [35]
7]
 6/(x-1)-5x/4
subtracting the above we put the fraction under the same denominator:
 6/(x-1)-5x/4
multiplying the denominators we get:
4(x-1)
thus subtracting we get:
6/(x-1)-5x/4
=(4*6-5x(x-1))/[4(x-1)]
=[24-5x^2+5x]/(4x-4)
Answer:
(-5x^2+5x+24)/(4x-4)


9]
3/(x+7)+4/(x-8)
the common denominator is:
(x+7)*(x-8)=(x+7)(x-8)
thus adding the fractions we put them under the same denominator as follows:
[3(x-8)+4(x+7)]/[(x+7)(x-8)]
=[3x-24+4x+28]/[(x+7)(x-8)]
=(7x+4)/[(x+7)(x-8)]

5 0
3 years ago
Let Z={a,c,{a,b}}. What is |Z|?
Lina20 [59]

Z=\{a,c,\{a,b\}\}

\boxed{|Z|=3} (treat \{a,b\} as one element of Z)

The power set of Z is

\boxed{2^Z=\bigg\{\{\},\{a\},\{c\},\big\{\{a,b\}\big\},\{a,c\},\big\{a,\{a,b\}\big\},\big\{c,\{a,b\}\big\},\big\{a,c,\{a,b\}\big\}\bigg\}}

1. \{a,c\}\subseteq Z is true because both a\in Z and c\in Z.

2. a\in Z is true.

3. \{c\}\subseteq Z is true (same reason as part 1).

4. \{c\}\in Z is false because Z does not contain the set \{c\}, rather just the element c itself.

5. b\in Z is false because the element b on its own simply is not in Z. That b\in\{a,b\} does not mean b\in Z, but that b belongs to a subset of Z.

6. \{a,b\}\in Z is true.

6 0
3 years ago
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