Answer: -0.65 approximately
Work Shown:
[tex]\log_{9}(0.24) = \frac{\log(0.24)}{\log(9)}\\\\\log_{9}(0.24) = \frac{\log(0.03*8)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3*10^{-2}*2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)+\log(10^{-2})+\log(2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)-2\log(10)+3\log(2)}{2\log(3)}\\\\\log_{9}(0.24) \approx \frac{0.477-2*1+3*0.301}{2*0.477}\\\\\log_{9}(0.24) \approx \frac{-0.62}{0.954}\\\\\log_{9}(0.24) \approx -0.649895\\\\\log_{9}(0.24) \approx -0.65\\\\[/tex]
Use f(x) = x^2 + 4x - 12
A. Does the graph of our function open upward or downward?
B. Indentify the coordinates for the vertex
C. Indentify the x-intercepts
D. indentify the y-intercepts
E. does the graph have a maximum or minimum?
Answer:
I imagine you aren't using calculus, so:
A: the leading term is [tex]1>0[/tex], so it opens upwards.
B. First coordinate of the vertex is [tex]-\frac b{2a}=-\frac42=-2[/tex], the second coordinate we'll find by replacing the value: [tex]f(-2)=(-2)^2+4(-2)-12 = 4-8-12=-16[/tex]
C. Quadratic formula or if you stare at the equation long enough you can rewrite the equation as [tex]f(x) = (x+6)\times(x-2)[/tex]. At this point the x intercepts are the zeroes of the function, or -6 and 2.
D. The y-intercept is the value of the function at 0, or the constant term: -12
E. The graph has a minimum since the curve opens upwards.
Determine which graph shows y as a function of x.
I have to pick out of the photos I attached.
Answer:
I would say either pic 2 or four.
Step-by-step explanation:
Hopes This Helps
4e-4=e-4
help me plsssssssssssssssssssssss
Answer:
E= 0 Good luck answering the other questions :)
Step-by-step explanation:
Helpppp mee pleaseeeee
Answer:
Step-by-step explanation:
Simplified this is 9 :)
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?
Answer:
4 fluid ounces
Step-by-step explanation:
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?
Remember
8 fluid ounces = 1 cup.
First you need to do find out how many fluid ounces she poured in total.
So do,
5 mugs × 12 fluid ounces.
which is 60 fluid ounces.
Now that you now that you need to convert 8 cups into fluid ounces.
Like I said at the top 8 fluid ounces = 1 cup.
So you need to do,
8 cups × 8 fluid ounces.
Which is 64 fluid ounces she can hold in her coffee pot.
Now you subtract,
64 fluid ounces - 60 fluid ounces.
Which is 4 fluid ounces left in her coffee pot.
The number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee.
Let x be the number of fluid ounces she has left.
4 fluid ounces
As we know,
8 fluid ounces = 1 cup
The total amount of coffee = 5×12
The total amount of coffee = 60
Total amount = 8 cups × 8 fluid ounces.
x = 64 fluid ounces - 60 fluid ounces.
x = 4 fluid ounces
Thus, the number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.
Learn more about the unit conversion here:
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help me please please
Answer:
alr yeah i get it now
Step-by-step explanation:
its A 11/14
Answer:
[tex]\frac{11}{14}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7}[/tex] + [tex]\frac{7}{14}[/tex]
Before adding er require the fractions to have the same denominators.
Multiply the numerator/ denominator of the first fraction by 2
= [tex]\frac{2(2)}{7(2)}[/tex] + [tex]\frac{7}{14}[/tex]
=[tex]\frac{4}{14}[/tex] + [tex]\frac{7}{14}[/tex] ( now add numerators leaving the common denominator )
= [tex]\frac{4+7}{14}[/tex]
= [tex]\frac{11}{14}[/tex]
b and c is wrong pls help
Answer:
b) you need one set of | | for the inside of the logarithm only.
c) pi^2 /56
Step-by-step explanation:
For b, you just need | | instead of ( ) for the inside of the natural logarithm part... .
For c...
Integral( arcsin(7/6x)/sqrt(36-49x^2),x=0..6/7).
Lets go ahead and fix up the the denominator so the multipler on x is the same as it is in numerator.
Factor our sqrt(36) on bottom. Note sqrt(36)=6.
1/6Integral(arcsin(7/6x)/sqrt(1-(7x/6)^2),x=0..6/7)
Let 7/6x=sin(v). Then 7/6 dx=cos(v) dv.
If x=0 then we solve 7/6(0)=sin(v) giving us v=0. Note sin(0)=0.
If x=6/7 then we solve 7/6(6/7)=sin(v) giving us v=pi/2. Note sin(pi/2)=1...and I chose this particular value for v so the sine curve didn't have a chance to make a new or start a new cycle.
1/6×6/7Integral(v/sqrt(1-(sinv)^2) cos(v)),v=0..pi/2)
Next step invokes the Pythagorean Identity sin^2(v)+cos^2(v)=1:
1/7Integral(v/cos(v) cos(v), v=0..pi/2)
1/7Integral(v, v=0..pi/2)
1/7(v^2/2, v=0..pi/2)
1/7((pi/2)^2/2-(0)^2/2)
1/7(pi^2/4/2)
1/7(pi^2/8)
pi^2/56
PLEASE ANSWER!!!
Boris Drove to the mountains last week. There was heavy traffic on the way there, and the trip took 10 hours. When Boris drove home, there was no traffic and the trip only took seven hours. If his average rate was 18 mph faster on the trip home, how far away does Boris live from the mountains?
Answer:
Step-by-step explanation:
Answer:
Let +d+ = the one-way distance to the mountains in miles
Let +s+ = his speed going to the mountains in mi/hr
+s+%2B+27+ = his speed on the trip home in mi/hr
equation for going to the mountains:
(1) +d+=+s%2A7+
Step-by-step explanation:
I hope this helps mark as brainliest if correct
line of best fit gina wilson. It says stuff about Hannah as a baby and her weight. plz help
Match each set of prices with the correct percent of increase or decrease. 12.4% decrease 7.4% increase 9.9% increase 8.7% decrease 8% increase 11% increase 11% decrease 8% decrease original price: $37.50 new price: $34.50 arrowRight original price: $63.00 new price: $56.07 arrowRight original price: $98.00 new price: $108.78 arrowRight original price: $12.25 new price: $13.23 arrowRight
Answer:
12.4
Step-by-step explanation:
Answer:
1. decrease by 8%
2. decrease by 11%
3. increase by 8%
4. increase by 11%
Step-by-step explanation:
The Circumference of Taylor’s bike tire is 72 inches what is the diameter of the tire used 3.14 for and round to the nearest whole number
Answer:
Step-by-step explanation:
Circumference=72
pi=3.14
Radius=C /2π
72/6.28=11.4649681529
Rounded to the whole would be 11
=11
3 of 8
The perimeter of an equilateral triangle is 105mm.
State the length of one of its sides.
Answer: 60
Step-by-step explanation:
in geometry all of the equilateral triangles sides are all 60 degrees.
What is:
-24 - (-64)
Answer:
40
Step-by-step explanation:
Calculator.
Answer:
your answer should equal to 40
Step-by-step explanation:
hope its right!
The two triangles are similar. Find the values of the unknown variables
Answer:
x = 84 y = 59°
Step-by-step explanation:
x = (40/30)×63
x = 84
∆ABC = ∆PQR
so y = 59°
Answer:
1.) 47
2.) 28
Step-by-step explanation:
you just had to use the sin equation for both
a) What is the independent variable?
the amount of money Bonnie earns (m)
the number of visitors to Bonnie's site (v)
Answer:
v is independent
Step-by-step explanation:
v because v isn't depended on m
m depends on how many visitors there are so it's depended on v.
:)
Based on the graph, what is true about polygon ABCD?
a. The polygon is a hexagon
b. The area of the polygon is 96 square units
c. The perimeter is 20 unit
d. Side AD is congruent to side DC
Answer:
B
Step-by-step explanation:
The Width of the Rectangle (read Polygon) is 8 units and the Length of the Rectangle is 12 units.
The area of the polygon is 96 square units. Therefore, the correct answer is option C.
From the given graph, we have polygon ABCD.
From the graph, we have AB=DC=12 units and BC=AD=8 units.
Here, the given polygon is rectangle.
Area of a rectangle = Length×Breadth
Now, area of a rectangle = 12×8
= 96 square units
Perimeter of a rectangle = 2(Length+Breadth)
= 2(12+8)
= 2(20)
= 40 units
Therefore, the correct answer is option C.
To learn more about the area of a rectangle visit:
https://brainly.com/question/20693059.
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What are the coordinates of B
Answer:
(-4,-5)
Step-by-step explanation:
The coordinates of the midpoint for x = sum of x/2=2
The coordinates of the midpoint for y = sum of y/2=-2
firstly to work out x coordinate:
[tex] \frac{x + 8}{2} = 2[/tex]
rearrange to find x which is -4
work out y coordinate:
[tex]\frac{y + 1}{2} = - 2[/tex]
rearrange to find y which is -5
so coordinates are (-4,-5)
Write the expression for the following situation: Roger has 5 toy cars. His sister gives
himxmore for his birthday. He wants to find his totd
Graham drove 42 - miles in 1
hours. How many miles did he
drive in one hour? How man
hours did he take to drive one
mile?
Determine which of the values is a solution of 4t+6 is less than or equal to 10.
Values:
1, -8, -4, 3, 0, 7
Answer:
1, 3, 7
Step-by-step explanation:
4t + 6≤10
4t≤4
t≤1
Therefore, t can either be equal to or greater than 1.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
A coin weighs 3/4 ounces. Laura picked up 6 of these coins. What is the total weight of the coins she picked up? In simplest form.
Answer:
1 1/2 pound
Step-by-step explanation:
If each coin weighs 3/4 ounces and she picked up 6 then you do 3/4 x 6/1 which equals 18/4 and since there is 16 ounces in a pound it simplifies to 1 2/4 or 1 1/2 pounds
In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?
a. 34.8°
b.39.4°
c.50.6°
d.55.2°
What is the slope of the line
Answer:
-1.5
Step-by-step explanation:
PLEASE HELP ME GET ALL THESE QUESTIONS QUICKLY DONE I WILL MARK BRAINLIST PLS PLZ PLZZZZZ
Answer: look at explanation
Step-by-step explanation:
1st question: 48 / 60 = 80 %
2nd : 1/4 of 60 = 15 people
3rd : If 60% is 48 miles, than 10% is 8 miles. Therefore, 100% (his goal) = 80 miles.
4th: 1/4 of 88 = £22
which is bigger 0.5 or 9%
this answer is 9% it is bigger than 0.5
Dalvin has a toy car collection of 200 toy cars. He keeps 194 of the toy cars on his wall. What percentage of Dalvin's toy car collection does he keep on his wall?
Answer: 97%
Step-by-step explanation:
what is 194 out of 200 ? 97%
AND IM SO SORRY ABOUT RED DEV!L
What is the length of LN in the right triangle below?
Answer:
D 280
Step-by-step explanation:
Pythagoras theorem
Answer:
a
Step-by-step explanation:
LN=√19＾2 - 9＾2
=√361 - 81
=√280
Estimate 4 1/3 x 2 3/4
Answer:
11 11/12
Step-by-step explanation:
Answer:
≈ 12
Step-by-step explanation:
To estimate, we'll round these mixed numbers to the nearest whole number, then multiply. Let's start with 4 1/3. 4 1/3 is closest to 4, since 1/3 is smaller than 1/2. Then, we can look at 2 3/4. This mixed number is closest to 3, since 3/4 is greater than 1/2.
Now, the two numbers we have are 4 and 3. What is 4 × 3? Well, that's pretty simple - the answer is 12. So, 4 1/3 × 2 3/4 ≈ 12. Hopefully that's helpful! :)
There are 9 new books and 5 used books. What is the ratio of all the books on the shelf to the new books
Answer:
14 to 5
Step-by-step explanation:
9 + 5 = 14(total books)
new books = 5
so ratio of total books to new books is 14 to 5
what’s is value of X
Answer:
3
Step-by-step explanation: