Answers
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: log_{4}(39.2) [/tex]
[tex]\qquad \sf \dashrightarrow \: log_{4}( {2}^{3} \times {7}^{2} \times 10 {}^{ - 1} ) [/tex]
[tex]\qquad \sf \dashrightarrow \: log_{4}( {2}^{3} ) + log_{4}( {7}^{2} ) + log_{4}(10 {}^{ - 1} ) [/tex]
[tex]\qquad \sf \dashrightarrow \: log_{ {2}^{2} }( {2}^{3} ) + log_{ {2}^{2} }( {7}^{2} ) + log_{ {2}^{2} }(10 {}^{ - 1} ) [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{3}{2} log_{2}(2) + \frac{2}{2} log_{2}(7) - \frac{1}{2} log_{2}(10) [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{3}{2} + a - \frac{b}{2} [/tex]
That's the required result ~
also you can take it's LCM and write it as :
[tex]\qquad \sf \dashrightarrow \: \dfrac{2a - b + 3}{2} [/tex]
Related Questions
A rectangular flower bed measures 10 m by 6 m. It has a path 2 m wide around it. Find the area of the path.
Answers
Step-by-step explanation:
the easiest way to answer this is to calculate the area of the large rectangle (white) and subtract the area of the small rectangular (black).
we know the dimensions of the small rectangle : 10×6
and because of the 2m thick "frame" we know the dimensions of the large rectangle by adding 2×2 m to every small dimension : 14×10
(2 m on the top and the bottom, and 2 m left and right, so 4 m added in every direction).
the area of the large rectangle is
14 m × 10 m = 140 m²
the area of the small rectangle is
10 m × 6 m = 60 m²
so the area of the path is
140 - 60 = 80 m²
please HELPPP! I have been stuck on this for too long.
Answers
A figure is made up of two triangles and a square. The triangles and the square have the same base length of 5 feet. The triangles have a height of 4 feet. What is the total area of the figure?
Answers
Answer:
45 ft^2.
Step-by-step explanation:
Area = area of the square + 2 * area of one triangle
= 5^2 + 2 * 1/2 * 5 * 4
= 25 + 20
= 45 fT^2.
Which answers describe the shape below? Check all that apply.
A. Square
B. Trapezoid
C. Quadrilateral
D. Parallelogram
E. Rhombus
F. Rectangle
Answers
Answer:
The answers are C, D, and F
Step-by-step explanation:
a 5 year lease for a office space states that the annual rent is 62,000 for the first year and will increase by 7% each additional year of the lease. what will the total rent expense (nearest cent) be for the entire 5 year lease?
PLSSS HELPPPPPP
Answers
Second year- 7% increased in rent= 66,340
Third year- 7% increased in rent (66,340)= 70,984
Fourth year- 7% increased in rent (70,984)= 75,953
Fifth year- 7% increased in rent (75,953)= 81,270.
Total 5 years lease- 356,547.
An electrician charges $55 an hour for labor and an initial fee of $95. The total cost c equals 55 times the number of hours x plus 95. Enter an equation for the relationship and use the equation to complete the table.
Answers
Answer:
C = 55h + 95
Step-by-step explanation:
That is the equation, I can't see a table but I'm assuming you would be given hours worked, so plug that in for the h value and solve to get a cost in $.
For example, if he worked for 2 hours then
C = 55(2) + 95
C = 110 + 95
C = $205
If you found my answer helpful, please rate branliest. It's free to do so and would help me out a ton!
NEED HELP ASAP!!!! GIVING BRAINLIEST+ 30 POINTS TO WHOEVER CAN ANSWER THESE TWO QUESTIONS THE BEST!!!
Answers
Answer:
For question 2: 15/4.
For question 3: 10/8.
Step-by-step explanation: To multiply fractions, you multiply the numerators and then the denominators. We should first transform any whole numbers into fractions. The first step is done below:
For question 2: 5 to 5/1.
For question 3: 2 to 2/1.
Now, we can multiply the numerators and denominators to answer the following:
For question 2: 5/1 x 3/4. The numerators are 5 and 3, so multiply those to get 15. The denominators are 1 and 4, so multiply those to get 4. Your answer is 15/4.
For question 3: 2/1 x 5/8. The numerators are 2 and 5, so multiply those to get 10. The denominators are 1 and 8, so multiply those to get 8. Your answer is 10/8.
Let me know if this is right! :)
Can someone work this one out with me please
Answers
Answer:
46°
Step-by-step explanation:
Since the side mn is tangent, the angle in M is a right angle. The sum of internal angles needs to add to 180°, so subtacting you're left with 46°
Hi there!
Since MN is tangent to Circle K, we know that MK and MN are PERPENDICULAR.
Therefore, m∠M = 90°.
Since we now know two angles in the right triangle, we can solve for m∠K knowing that angles in a triangle sum up to 180°.
180° = ∠M + ∠N + ∠K
180° = 90° + 44° + ∠K
Combine like terms:
180° = 134° + ∠K
Subtract:
180° - 134° = ∠K
∠K = 46°
The z value for a 97. 8% confidence interval estimation is.
Answers
Using the z-distribution, it is found that the z-value is of z = -2.29.
How to find the critical value of Z?For a confidence level of [tex]\alpha[/tex], it is Z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex].
We have a 97.8% confidence level, hence[tex]\alpha = 0.978[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.978}{2} = 0.989[/tex], so the critical value is z = -2.29.
More can be learned about the z-distribution at https://brainly.com/question/25890103
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
76
Step-by-step explanation:
I D K this is a puzzle
Use the ratio table to solve the percent problem,
Part
Whole
? 75
40 100
What is 40% of 757
Enter your answer in the box
Answers
Answer:
302.8
Step-by-step explanation:
If you ever have a calculator by your side remember that a percentage is just a decimal moved two digits to the left. So in this case, the equation is just 757•0.4. Sorry, however, I do not know what you're asking at the top part.
In a right triangle , the side opposite angle a has a length of 11.1 feet, the side adjacent to angle a has a length of 13.4feet , and the hypotenuse has a length of 17.4 feet. what is the value of cos(a)?
Answers
The adjacent side is 13.4 feet
The hypotenuse is 17.4 feet
13.4/17.4
Find the value of x
Tell wether the side lengths form a Pythagorean triple
Answers
Equation: square root of (9 squared - 3 squared)
I believe it is not a triple considering the answer is not a whole number but I could be wrong.
Answer:
8.49 and No
Step-by-step explanation:
C² - b² = a² (pythagorus rule rearranged for a²)
9² - 3² = a²
81 - 9 = a²
a² = 72
a = 8.49 and no they aren't a triple.
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 9,396 bushels of soybeans, resulting in a crop yield of 40. 5 bushels per acre. To the nearest whole acre, how many acres were harvested? 232 acres 252 acres 285 acres 295 acres.
Answers
The total harvested area is 232 acres .
To determine the number of acres harvested, we simply have to divide the bushels of soybean by the crop yield.
Mathematically we can write it as,
What is the formula for the total land area?The total land area = bushels of soybean / bushels per acre
Substituting the known values,
[tex]Total land area = 9396 / 40.5 = 232[/tex]
Therefore, 232 acres were harvested.
To learn more about the area visit:
https://brainly.com/question/25292087
Answer:The total harvested area is 232 acres
Step-by-step explanation:
An auto mechanic has collected $1468.63 for parts, including 6% tax. For accounting purposes, he must determine exactly how much of the total was in sales tax.
HINT: Let "x" stand for the dollar amount of the parts BEFORE tax was added.
Answers
Answer:To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + ...
Step-by-step explanation:
2. What is the scale factor of the new scale drawing to the original scale drawing (SD2 to SD1)? 10 cm on then
Answers
Answer:
To find each length in the new scale drawing, you can multiply each length in the original scale drawing by this scale factor between the two scale drawings. ▫.
fdddkgStep-by-step explanation:
If f(x)=2^x is translated 3 units up and 4 units to the left what is the equation for the transformed graph?
Answers
Answer:
Step-by-step explanation:
[tex]f(x) = 2^{x}[/tex]
translate 3 units up will change the y coordinate so will add 3 to y or f(x)
[tex]f(x) = 2^{x} +3[/tex]
translate 4 units to the left will change the x coordinates so will add 4 to the x to move towards left
[tex]f(x) = 2^{x+4} +3[/tex]
Which of the equations below describes a circle with radius 7? A. x2 - y2 = 7 B. x2 + y2 = 49 C. x2 + y2 = 77 D. x2 + y2 = 7
Answers
Answer:
x2-y2=49
Step-by-step explanation:
the radius is the square root of the number after the equal sign. So the only choice with a number with square root 7 is x2-y2=49
What is the least common multiple? 48, 10
Answers
Answer:
240
Step-by-step explanation:
What is the value of z in the triangle ? Enter your answer in the box . Round your final answer to the nearest hundredth.
Answers
Answer:
32.97 inches
Step-by-step explanation:
Given
27 in. is the length one of the legsSolving
cosine function gives the ratio of the adjacent side of the angle and the hypotenuseTake cos35°cos35° = 0.819cos35° = 27/z⇒ 27/z = 0.819⇒ z = 27/0.819⇒ z = 32.97 inchesThe table below shows a proportional relationship. True or False?
Answers
According to the image, the table shows a relationship that is not proportional. First of all, you cannot multiply a number by 0 and get something other than 0. Anything multiplied by 0 is always 0.
Second, the rule is different for each row.
2x5=10
4x4=16
6x3.6=22
A proportional relationship must increase by the same amount, and this does not, which means it is not proportional.
Find common ratio
0+4(1)=42+4(2)=104+4(3)=166+4(4)=22Yes they are proportional
1+2=
3+4
4=3
)+0
you dont have to answer just put a random letter or something
Answers
Answer:
3
7
last one doesn't even make sense
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answers
Answer: C
Step-by-step explanation:
100 BRAINLY POINTS!!!
The figure below shows a scatter plot.
Which linear equation best represents the data in the scatter plot?
A. y = -8x + 0.5
B. y = -0.5x - 8
C. y = -0.5x + 8
D. y = -x + 8.5
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answers
Answer:
C) [tex]y=-0.5x+8[/tex]
Step-by-step explanation:
Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.
All the given options for the line of best fit are linear equations.
Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.
Linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8. So this suggests that options C or D are the solution.
We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).
Therefore, C is the solution, and the closet approximation to the line of best fit is [tex]y=-0.5x+8[/tex]
I
For each of the following functions find f(-x) and -f(x), then determine whether it
is even, odd or neither. Justify your answer.
f(x)=x^3-7/x
f(x)=|-x|
f(x)=25-x^3
f(x)=72-x^4
Answers
By using the definition of even and odd functions, we will see that:
a) oddb) even.c) neitherd) even.What is an odd and an even function?A function f(x) is even if:
f(x) = f(-x)
And the function is odd if:
f(-x) = -f(x).
Now let's check it for all the given functions.
a) f(x) = x^3 - 7/x
-f(x) = -x^3 + 7/xf(-x) = (-x)^3 - 7/(-x) = -x^3 + 7/xSo this function is odd.
b) f(x) = |-x|
-f(x) = -|-x|f(-x) = |-(-x)| = |x| = |-x|This function is even.
c) f(x)=25-x^3
-f(x) = -25 + x^3f(-x) = 25 - (-x)^3 = 25 + x^3This function is neither odd nor even.
d) f(x) = 72-x^4
-f(x) = -72 + x^4f(-x) = 72 - (-x)^4 = 72 - x^4 = f(x)This function is even.
If you want to learn more about odd and even functions, you can read:
https://brainly.com/question/2284364
Can someone help me with 9 and 10 i will give brainiest
Answers
Answer:
4y-3
Step-by-step explanation:
Find m<2
Round your answer to the tenth.
Answers
360-242.7=117.3
117.3° is angle 2
PLEASE HELP QUICK
9) Which of these MOST helped J.R.R. Tolkien to become a successful writer?
A) His sense of humor.
B) His loving children.
©) His creative imagination.
D) His appetite for success.
Answers
Answer: C) His creative imagination
Step-by-step explanation:
J.R.R. Tolkien's creative imagination most helped him to become a successful writer
A mother shared $400 amongst her three daughters Amy, Beatrice and Claire in the ratio of 3:2:5 respectively. How much money did Amy receive?
Answers
Answer:
$120
Step-by-step explanation:
Total Parts = 3+2+5 = 10
400 / 10 = $40 per part
Amy = 40 x 3 = 120
What is the image of (-1, -2) after a reflection over the y-axis?
Answers
Answer:
(1, -2)
Step-by-step explanation:
Since (-1, -2) is in quadrant 3 and reflected to quadrant 4, the values become (+, -)
Hope this helps :)