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Allushta [10]
3 years ago
9

Alberto uses 3/5 of a bag of seeds on 2 acres of land. How many bags of seeds will Alberto use if he has 16 acres of land?

Mathematics
1 answer:
Genrish500 [490]3 years ago
3 0

Answer:

A lot

Step-by-step explanation:

Maths

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What are the potential solutions of log4x+log4(x+6)=2?
lions [1.4K]

The potential solutions of log_4x+log_4(x+6)=2 are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

  • Product Rule for Logarithms - log_{b}(a*c)=log_{b}a+log_{b}c
  • Quotient Rule for Logarithms - log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c
  • Power Rule for Logarithms - log_{b}(a^c)=c*log_{b}a

The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

                                  log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0

Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8

The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0
2 years ago
What is the simplified value of the expression below? 8.5 + (12 + 4) times 2 minus 7
Zolol [24]

Answer:

33.5  

-by-step explanation:

8.5 + (12 + 4) × 2 - 7

Use PEMDAS ( I think this is right hope it helps!)

8 0
3 years ago
This is for leadership
Nikolay [14]

Answer:

I don't think many schools do Powderpuff which is where boys cheer and girls play football. You can do a live Insta and congratulate the students who made the team and mail them gift cards and/or gift baskets. You can also buy basket balls and footballs for each member and decorate it with their names and numbers. I'm also in Student Council so, if you have any other questions feel free to post them!!

6 0
3 years ago
Find the measure of angle x in the figure below: A.) 35° B.) 48° C.) 69° D.) 78°
prisoha [69]

Answer:

x = 48

Step-by-step explanation:

First find y

52+y+59 = 180 since they from a straight line

y = 180-59-52

y = 69

Then we know the angles of a triangle add to 180

x+y+63 = 180

x+69+63 = 180

x = 180-69-63

x =48

3 0
3 years ago
Read 2 more answers
7. Isosceles triangle ABC is shown below with legs that measure 8 inches and a vertex angle of 50D. (a) Determine the area of AB
Flura [38]

Answer:

<h2>The area of the triangle ABC is 32 square inches.</h2>

Step-by-step explanation:

We know that the given triangle is a right-isosceles triangle, which means its leg are equal.

The area of a triangle is defined as

A=\frac{1}{2}bh

Where b=8 and h=8. Replacing values, we have

A=\frac{1}{2} \times 8 \times 8 = 32 \ in^{2}

Therefore, the area of the triangle ABC is 32 square inches.

7 0
3 years ago
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