1. Use properties of logarithms with the given approximations to evaluate the expression. Use logb2=0.693 and/or logb6=1.792 to find logb12.2. Complete parts (a) and (b). a. Write the inverse of y=8x in logarithmic form. b. Graph y=8x and its inverse and discuss the symmetry of their graphs.3. 2log2^15 EVALUATEUse properties of logarithms with the given approximations to evaluate the expression.loga3≈0.477andloga5≈0.699.Use one or both of these values to evaluate loga27.Write as a single logarithm. Assume that variables represent positive numbers.5log2x+2log2zOn the basis of data for the years 1918 through1997, the expected life span of people in a country can be described by the functionf(x)=12.576ln x+17.088 years, where x is the number of years from1905 to the person's birth year. What does this model estimate the life span to be for people born in 1941?This model estimates that the life span for people born in1941 is
Answers
1. Use properties of logarithms with the given approximations to evaluate the expression. Use log2=0.693 and/or log6=1.792 to find log12.
Answer: log12 = log6 + log2 = 1.792 + 0.693 = 2.485.
2. Complete parts (a) and (b).
a. Write the inverse of y=8x in logarithmic form.
Answer: log8(y) = x.
b. Graph y=8x and its inverse and discuss the symmetry of their graphs.
Answer: The graph of y=8x and its inverse will have the same shape, but it will be flipped across the line y = x. This is known as the symmetry of their graphs.
3. 2log215 EVALUATE Use properties of logarithms with the given approximations to evaluate the expression. log3≈0.477 and log5≈0.699. Use one or both of these values to evaluate log27. Write as a single logarithm. Assume that variables represent positive numbers. 5log2x+2log2z
Answer: log27 = log5 + log3 = 0.477 + 0.699 = 1.176.
4. On the basis of data for the years 1918 through 1997, the expected life span of people in a country can be described by the function f(x) = 12.576ln x + 17.088 years, where x is the number of years from 1905 to the person's birth year. What does this model estimate the life span to be for people born in 1941?
Answer: This model estimates that the life span for people born in 1941 is 70.698 years.
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Related Questions
Given: B is the midpoint of AC EB=BC Prove: AB=BC
Reuben is making a replica of the US flag for his school project.He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters. The perimeter of the scale drawing is 7.25 11.875 14.5 47.5those are the answers to choose from centimeters. The perimeter of the actual flag is inches. 14.5 29 47.5 95 those are the answers to choose from
Simplify the following expression. 7- 5/8 x 7 -7/8 A. 1/14 B. 14 C. 1/49 D. 49
What is the fraction 18/24 reduced to its lowest terms? A. 9/12 B. 3/4 C. 24/18 D. 18/24
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Step 2: -77 = 7d
Step 3:
Step 4: d = -11
because u subtract the negative 64 with a positive for a positive and negative turn 0 then u got to do the same side with -13-(-64)=7d then u add -13+-64=77 after u done that it will be 77=7d divide it by 7 on both side then u get d=11
Answers
Answer:
$ 12(p+2.5)
Step-by-step explanation:
Given: base rate of pay is p per hours plus a temporary raise of $2.50 per hour.
To Find: total pay for 12 hours of work
Solution:
Total hours for which work is done =
base rate of payment = per
temporary raise =
Total rate of payment =
Total pay =
putting values
=
therefore,
Total pay for 12 hours of work is
Since he makes p + 2.5 per hour, and he is working for 12 hours, the above is how you would express it as a formula.
Answers
16 oz in 1 pound. we'relooking for 3.4 pounds, so that will in oz be 3.4 × 16 = 54.4
if for 3.4 lbs beef costs 4.95, we'll need to divide that into the oz, so 4.95 ÷ 54.4 ≈ 0.09
4x - 12 = 8x + 24
Answers
Answer: -9
Step-by-step explanation:
To solve the equation, isolate the variable, then use basic arithmetic.
Subtract 4x on both sides to obtain the equation:
-12 = 4x + 24
Subtract 24 on both sides to isolate 4x, and obtain the equation:
-36 = 4x
Finally, divide both sides by 4 to obtain the following:
-9 = x
Final answer:
To solve the equation 4x - 12 = 8x + 24, shift all terms with x to one side and constants to the other, then isolate the x. The solution of the given equation is x = -9.
Explanation:
The goal here is to find the value of x by solving the equation 4x - 12 = 8x + 24. This is a type of linear equation which can be rearranged to eventually isolate x on one side.
First, you want to bring all terms with x to one side of the equation and constants to the other. To do that, you can subtract 4x from both sides which will give: -12 = 4x + 24.
Then, subtracting 24 from both sides of the equation will give: -36 = 4x.
Finally, dividing by 4 on both sides will isolate x, so: x = -36 / 4 = -9. So, the solution of the equation is x = -9.
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B. similar
C. corresponding
D. supplementary
Answers
Answer:
You can find the CORRESPONDING parts of two congruent triangles by aligning them perfectly on top of each other.
Step-by-step explanation:
We know that when two congruent triangles are placed over each other then the congruent sides corresponding to both the triangles also align on each other.
Since, when two triangles are congruent then all corresponding angles and sides of the two triangles are also congruent.
Hence, the answer is:
Option: C
C. corresponding
You can find the C. corresponding parts of two congruent triangles by aligning them perfectly on top of each other.
How is this true for triangles ?
Corresponding parts of two congruenttriangles are the parts that have the same relative position. For example, the corresponding parts of triangle ABC and triangle DEF are AB and DE , ∠A and ∠D, and ∠B and ∠E.
If two triangles are congruent, then their corresponding parts are congruent. This means that if we align two congruent triangles perfectly on top of each other, then the corresponding parts will coincide.
In conclusion, option C is correct.
Find out more on corresponding parts at brainly.com/question/29592419
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Answers
(3+1,11+2)
Hope this Helped!