if log w = (1/2) log x + log y, then w= ?
Answer:
[tex]w = \sqrt{x} y[/tex]
Step-by-step explanation:
Formula used :
[tex]a \ log\ b = log \ b^a\\\\log a + log b = log \ ab[/tex]
[tex]log\ w = \frac{1}{2} log\ x + log \ y\\\\log \ w = log \sqrt{x} + log \ y\\\\log \ w = log \sqrt{x} y\\\\w = \sqrt{x} y[/tex]
ANSWER QUICK PLEASE
you can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?
Answer:
consider x as the number of hours you work
so, the function that would satisfy this equation is
10x
Christine drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 286 miles?
Answer:
13.2 gallons
Step-by-step explanation:
286/260 *12 = 13.2
Answer:
about 13.2 gallons
Step-by-step explanation:
Easy way to calculate.
12 gallons divided by 260 miles
Take that answer and multiply it by 286.
An NBA basketball court is rectangular in shape where the length is 2m less than twice the width. If the perimeter of the court is 86m, what are the dimensions (length and width) of the court?
Answer:
Length = 28 m
Width = 15 m
Step-by-step explanation:
Court is rectangular in shape.
Now, we are told that;
Length is 2m less than twice the width(W) .
Thus;
Length; L = 2W - 2
We are told the perimeter is 86 m.
Formula for perimeter of a rectangle is;
P = 2(L + W)
Thus;
2((2W - 2) + W) = 86
Divide both sides by 2 to get;
(2W - 2) + W = 43
3W - 2 = 43
3W = 43 + 2
3W = 45
W = 45/3
W = 15 m
Thus; L = 2(15) - 2
L = 30 - 2
L = 28 m
Work out m and c for the line:
y=x-8
never mind i got it
Answer:
m = 1 c = -8
Step-by-step explanation:
Please help it's urgent if you do not help you will become Jeffery Epstein son!
Algebra 1
6.4 DIE
Find the distance between the points (0, -10) and (-8,0).
tbh i think it is 6 i did the math too
Answer:
2√41
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
√(-8 - 0)² + [0 - (-10)]²
√(-8)² + (10)²
√(64) + (100)
√164
= 2√41
Is -451 in the sequence below?
15,7,-1,-9,,-17..
Answer:
No, the closest to -451 in the sequence is -429
Step-by-step explanation:
Answer:
nope
Step-by-step explanation:
Find the area of the shaded region in the figure above using two different ways. Do you get the same
answer both ways? Investigate what's going on here.
Answer:
Below
Step-by-step explanation:
First way:
Find the area of the big triangle and subtract the area of the rectangle.
Area of shaded part = 1/2 * 25 * 34 - 10*24 = 185 m^2
Second way:
Add the area of the 3 shaded triangles:
= 1/2 * 15 * 24 + 1/2 * 5 * 10 + 1/2 * 5 * 10
= 180 + 25 + 25 = 230 m^2
The areas are different. The reason must be that given lengths are not possible for this diagram.
Check The length of the hypotenuse of the large triangle by 2 different methods:
The hypotenuse = √(25^2 + 17^2)
= 30.23.
Now let's work out the hypotenuse of the shaded triangles:
Top one = √(15^2 ^ 12^2) = 19.21
Bottom one = √((5^2 + 10^2) = 11.18
Adding these we get 30.39 which is different than previously calculated but it should be the same.
So what we have here is impossible geometry. This accounts for the different areas.
the city central library has 72,864 books and 72 bookcases how many books are there in each bookcase
Answer:
1,012
Step-by-step explanation:
72,864 / 72 = 1,012
Answer:
1012 books per bookcase
Step-by-step explanation:
Assuming each bookcase has the same number of books, this is a division task.
Your answer will be given by number of books÷number of bookcases.
In this case, that becomes 72864÷72.
This can be solved to 1012.
**This question involves division and writing integer expressions, which you may wish to revise. I'm always happy to help!
Help fast please ??!!
Answer:
Area = 1053.59²
Step-by-step explanation:
Area = Area of cylinder + Area of rectangular prism
Area of cylinder = 2 π r h + 2 π r² [ r = 4, h = 8]
= 2 π r ( h + r)
= 2 π x 4 ( 8 + 4)
= 301.59 ft²
Area of rectangular prism = 2 ( 12 x 8 + 8 x 14 + 14 x 12) = 752 ft²
Area = 301. 59 + 752 = 1053.59²
Answer:
1376
Step-by-step explanation:
Step 1 14 × 8 × 12 = 1344
Step 2 28 × 4 = 32
Final Step 1344 + 32 = 1376
What term describes the process of using the output of one function as the input for another? A. Function mapping B. Function simplification C. Function composition D. Function notation
Answer: C. Function composition
Step-by-step explanation:
If we have two functions, we can form a new function by composing one function into the other. Such functions are known as composite functions.
For example we have two functions f and g and produces a function h such that h(x) = g(f(x)).
It is generally a function that is written inside another function.
i.e. it is a process of using the output of one function as the input for another.
Thus, the correct option is C.
The required term: Function composition
pls help me in this question
Answer:
[tex]x=\sqrt{72}[/tex]
Step-by-step explanation:
Hope this helps
does anyone know how to do this? MATH ANSWERS ONLY
Answer:
34.2 ; 105.8 ; 12.0
Step-by-step explanation:
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
c² = a² + b² - 2abcosC
~~~~~~~~~~~~
sinB = [tex]\frac{bsinA}{a}[/tex]
sinB = 7sin40° ÷ 8 ≈ 0.562439
m∠B ≈ 34.2°
m∠C = 180° - ( 40° + 34.2° ) = 105.8°
c² = 8² + 7² - 2(8)(7)cos106° ≈ 143.87
c ≈ 12.0 units
The problem on the left has been solved INCORRECTLY.
1. identify the error
2. explain how to fix the error
3. give the correct solution
PLEASE HELP ME I NEED HELP
The student used the wrong trig ratio. They should use cosine instead.
[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(x) = \frac{9}{29}\\\\x = \cos^{-1}\left(\frac{9}{29}\right)\\\\x \approx 71.9^{\circ}\\\\[/tex]
If the student wanted to use sine, then they would need to use the pythagorean theorem to find the opposite side first. I recommend using cosine since it's faster. Make sure your calculator is in degree mode.
Answer:
x = 71.9 degrees
Step-by-step explanation:
cos x= 9÷29
cos x= 0.31
x =cos-1(0.31)
x = 71.9 degrees
Solve this system to determine the number of solutions 7x + 12 = 2(x + 6)
A) No Solution
B) Infinitely many solutions
C) One solution
One solution, the answer is x = 0.
Parkview apartments has two buildings. each building has three floors each floor has 16 windows. what is the total number of windows in the Parkview apartment building.
Answer:
96
Step-by-step explanation:
3 floors:
3x16= 48windows per building
2 buildings
2x48=96 windows
I need help finding the solution
=====================================================
Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
---------------------
Use this x value to find the measure of arcs DC and CB
arc DC = 12x+7 = 12*5+7 = 67arc CB = 18x-23 = 18*5-23 = 67We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.
Given that angle g measures 117, what is the measure of angle n?
Answer:
117
Step-by-step explanation:
The table shows the height of a hot air balloon from 1 minute to 5 minutes.
Height of Hot Air Balloon
Time (in minutes)
What ordered pairs would you plot to show the data on a
coordinate grid? How do you think the ordered pairs would
be different if the height of the balloon was measured every
15 seconds instead of every minute? Explain your reasoning
Answer:
You would plote the minutes as your x (1,2,3,4,5) and your height in feet as your y. So some ordered pairs would be (1,35) and (2,60).
Step-by-step explanation:
If it were measured every 15 minutes, the x coordinate, would be multiples of 15.
Hope this helps!
:)
Which statement best describes how to determine whether f(x) = x² – X + 8 is an even function?
1. Determine whether -x²-(-x)+8 is equivalent to x²-x+8
2. Determine whether (x)²-x+8 is equivalent to x²-x+8
3. Determine whether -x²(-x)+8 is equivalent to -(x²-x+8)
4. Determine whether (-2)²-(-x)+8 is equivalent to -(x²-x+8)
Answer:
Option 1
Step-by-step explanation:
You can tell if a function is even if [tex]f(-x)=f(x)[/tex]:
[tex]f(x)=x^2-x+8[/tex]
[tex]f(-x)=(-x)^2-(-x)+8[/tex]
[tex]f(-x)=x^2+x+8[/tex]
Since [tex]f(-x)\neq f(x)[/tex], the function is not even. Therefore, option 1 is the best option.
The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 22 meters and its length is 2 meters more than twice its width. 0
Answer:
Length = 6.5 meters
Width = 4.5 meters
Step-by-step explanation:
Given,
Perimeter of a rectangle is twice the sum of it's length and width.
Length is 2 meters more than twice its width, let the length be x meters so the width becomes (x-2) meters
perimeter of the rectangle,
2{x+(x-2)} meters which is 22 meters (given)
so,
2{x+(x-2)}=22
or, 2(x+x-2)=22
or, 2(2x-2)=22
or, 2x-2=11
or, 2x=13
or, x=6.5
so the length is 6.5 meters and the width is 6.5-2 = 4.5 meters.
Answered by GAUTHMATH
Please help!!!!!! I’ll give the brainliest !!!!!!!
For f(x) = 3x + 1 and g(x) = x ^ 2 - 6 find (8/f)(x)
Answer:
9x² + 6x - 5
Step-by-step explanation:
If you mean g(f(x))
g(x) = x² - 6
f(x) = 3x + 1
Then, g(f(x)) = g(3x + 1)
but g(x) = x² - 6
g(3x + 1) = (3x + 1)² - 6 = 9x² + 6x + 1 - 6
= 9x² + 6x - 5
What are the solution of (x+3)(x-1)=5
Answer: x= -2
x=4
Step-by-step explanation:
Answer:
im pretty sure both x's equal -4
Step-by-step explanation:
(-4 + 3)= -1
(-4 - 1)= -5
-5 x -1=5
When you multiply a negative number times a negative number that will equal a positive number.
It is given that two horizontal lines are parallel. Given that ∠6 = 133°°, find the measure of the other 7 angles from the picture above.
Answer:
the answer is 47
Step-by-step explanation:
133+x=180
please help with this
Answer:
Table A
Step-by-step explanation:
None of the numbers in the x values are repeating
i need help hurry show work
please help me with this, this is my summer packet help!! will mark brainliest
Answer:
1.375
1.625
3.3125
4.45
Step-by-step explanation:
11/8= 1.375
13/8=1.625
53/16= 3.3125
89/20=4.45
Answer:
1.375
1.625
3.3125
4.45
Step-by-step explanation:
Change the mixed fraction to a improper fraction then divide the numerator by the denominator,
A bag contains 4 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
Answer:
Probability = 16.7
Step-by-step explanation:
Total marbles 9
Choosing 2 red = [tex]4C_2[/tex]
Choosing 2 marbles from 9 marbles = [tex]9C_2[/tex]
Probability percent of choosing 2 red marbles from 9 marbles
[tex]\frac{4C_2}{9C_2} = \frac{1}{6} \times 100 = 0.1667 \times 100 = 16.7[/tex]
Answer:
16.6
Step-by-step explanation:
4+3+2=9 marbles
4=red
4/9*3/8=1/6
1/6= 16.6
Solve the inequality.
pls pls help
Answer:
first u will find de L.C.M which is 6
so u will multiply de whole equation by 6 hence
6(x/3)- 6(x-1/ 2) greater or equal to 6(1)
u will then cancel getting de equation to be
2(x)-3(x-1) greater or equal to 6 (1)
now, u will expand de equation
2x-3x+3 greater or equal to 6
now u group like terms
2x-3x greater or equal to 6-3
hint: greater or equal to must be done with it's symbol
so now for de answer, u will get -x greater or equal to 3
wen u get this, u change de operation to be opposite of de current sign
now de final answer becomes
-x less or equal to 3