Answers
Answer:
[tex]x=\pm1[/tex]
Step-by-step explanation:
[tex]\mathrm{log}_8(2)+\mathrm{log}_84x^2=1\\\mathrm{log}_8(2\cdot4x^2)=\mathrm{log}_8(8)\\8x^2=8\\x^2=1\\x=\pm1[/tex]
AND -1
Alternatively, you can realize that log_8(2) = 1/3 and solved that way.
Related Questions
Select ALL choices that are zeros of this function y=x2 +12x +32
Answers
Answer:
{-8, -4}
Step-by-step explanation:
Rewrite this function y=x2 +12x +32 as y = x^2 + 12x + 32; " ^ " indicates exponentiation.
Set this x^2 + 12x + 32 equal to zero (to find the zeros):
x^2 + 12x + 32 = 0. Let's solve this using the quadratic formula, which applies when ax^2 + bx + c = 0:
-b ± √(b^2 - 4·a·c)
x = -------------------------------
2a
The coefficients of the given quadratic are {1, 12, 32}. Thus, the discriminant is
b^2 - 4ac, or 12^2 - 4(1)(32), or 144 - 128, or 16. Therefore, we have:
-12 ± √16 -12 ± 4
x = -------------------- which simplifies to: x = --------------- = { -8, -4}
2 2
The zeros are {-8, -4}
the common factor of 6x 66xy
Answers
Answer:
6x and 1x or x
Step-by-step explanation:
the highest common factor of 6x and 66xy in 6x
6x ÷ 6x = 1
66xy ÷ 6x = 11y
the lowest common factor of 6x and 66xy is 1x or x
6x÷ 1x =6
66xy÷ 1x = 66y
6x÷ x = 6
66xy ÷ x = 66y
NOTE
1x and x is the same
Suppose you know the minimum, lower quartile, median, upper quartile, and maximum values for a set of data. Explain how to create a box plot for the data set.
NO LiNKS OR BE REPORTED
Answers
Answer:
For some sets of data, some of the largest value, smallest value
, first quartile, median, and third quartile may be the same. For instance, you might have a data set in which the median and the third quartile are the same. In this case, the diagram would not have a dotted line inside the box displaying the median. The right side of the box would display both the third quartile and the median. For example, if the smallest value and the first quartile were both one, the median and the third quartile were both five, and the largest value was seven, the box plot would look like:
In this case, at least
25
25
% of the values are equal to one. Twenty-five percent of the values are between one and five, inclusive. At least
25
25
% of the values are equal to five. The top
25
25
% of the values fall between five and seven, inclusive.
Answer:
First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.
Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.
Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.
Voila, my friend. You have a box plot.
Step-by-step explanation:
First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.
Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.
Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.
Voila, my friend. You have a box plot.
The diameter of a circle is 2 inches. What is the circle's circumference? d=2 in
Answers
Answer:
2π or 6.2831 (I don't know which since I don't know what to round to or if it is supposed to be in terms of π soooo)
Step-by-step explanation:
[tex]2\pi(1) = 2\pi = 6.2831[/tex]
f(x) = 9x+7
find 20-3)
09c + 7
0 18c + 20
18c + 7
O -
180 - 20
Someone help?
Answers
Answer:
18c - 20
Step-by-step explanation:
substitute 2c - 3 into x,
f(2c - 3) = 9(2c - 3) + 7
=> f(2c - 3) = 18c - 27 + 7
=> f(2c - 3) = 18c - 20
The dimensions of Jared's classroom are shown in the diagram.
12 m
4 m
6 m
4 m
2 m
8 m
What is the area of the classroom?
A. 36 m2
B. 48 m2
OC.-64 m2
OD. 72 m2
Answers
Answer:
64 m2
Step-by-step explanation:
12x6=72m2
2x4=8m2
72-8=64m2
The area for the given dimensions of Jared's classroom is, 64 m²
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Given that,
The dimensions of Jared's classroom are,
12 m, 4 m, 6 m, 4 m, 2 m, 8 m
we can divide the area of classroom in two parts,
first A₁, having side lengths of 6 m & 8 m
second A₂, having side lengths of 4 m & 4 m
Jared's classroom area = A₁ + A₂
A₁ = 6 × 8
= 48
A₂ = 4 × 4
= 16
A = A₁ + A₂
= 16 + 48
= 64
The area of classroom is 64 m²
To learn more about Area check:
https://brainly.com/question/16151549
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Solve for x. Round to the nearest tenth.
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 8) 64.2
10) 51.3
Explanation:
I hope this helped!
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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Word Phrase
Algebraic expression
10 more than the product of 3 and x
9 less than the quotient of n and 5
8 times the product of 5 and t
3 times the sum of x and 5
A state park charges a $6.00 entry fee plus
$7.50 per night of camping.
Answers
Answer:
3x + 10
n/5 -9
8(5t)
3(x + 5)
6 + 7.5n
Please let me know if you have questions about these. I’m happy to try to explain.
50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.
I know from the answer key that the answers are x=
[tex]3 \sqrt{10} [/tex]
and y=
[tex]2 \sqrt{10} [/tex]
but I'm not sure how to get there...
Answers
Step-by-step explanation:
9 + y^2 = 49
y^2 = 40
y = √40 = 2√10
4.5/3 = 2√10/5x
22.5x = (3) 2√10
22.5x = 6√10
x = 6√10/22.5 = 3√10/11.5
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!
Answers
Answer:
J
Step-by-step explanation:
i looked it up on a graphic calculator, just trust me lolz
good luck!!!
uhmm...hi... can someone plss answer this...
plss don't waist ma póints.
Answers
1: 6, because both are congruent
2: 14, because if half is seven then the whole line is double.
3: (Sorry, I’m not sure on this one).
4: Right triangle
5: 42, because A = (xy) / 2
So HT=6
2) a kite’s diagonals are perpendicular so GH= 7
7+7=14
3)AMH divides into two equal parts so we divide by 2
35/2 = 17.5
17.5
4)scalene triangle
5)area = 0.5 d1xd2
0.5 x 12x 7=42
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-x^2+73x-520
y=−x
2
+73x−520
Answers
Answer:
36.5
Step-by-step explanation:
y= -x²+73x-520
which can be represented as ax²+bx+c
a= -1, b= 73, c = -520
for maximum value of y,
the formula is
c - (b² / 4a)
= -520 - (73² / 4×(-1))
= -520 - (5329 / -4)
= -520 + 1332.25
= 812.25
Solving for x,
812.25 = -x²+73x-520
or, x²-73x+ 1332.25 = 0
Solving,
x= 36.5
A local taxi company charges a base fare of $3.20. The taxi company charges $0.40 for every minute the taxi is in service. If a passenger has $20, how many minutes can he travel in the taxi?
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 42 minutes
Explanation:
0.40x + 3.20 = 20
0.40x = 16.8
x = 42 minutes
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.6 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Answers
Answer:
41.6 centimeters
Step-by-step explanation:
The right triangle formula: c^2 = a^2 + b^2
c is the hypotenuse side of the triangle
a and b are the legs of the triangle.
Find the hypotenuse : c^2 = (24)^2 + (34)^2
c = square root of ( (24)^2 + (34)^2)
c = square root of ( 576 + 1,156)
c = 41.6173
Can someone help me? Please? TwT
Answers
(a)
Perimeter: 2l + 2w = 2(77 yd) + 2(24 yd) = 154 yd + 48 yd = 202 yd.
Area: 77 yd × 24 yd = 1848 yd².
———
(b) To determine how long it will take to walk around the field, one would need to know the total distance of the edges that make up the field. That would be the perimeter, which is the measure that would be used here.
———
(c) To determine the amount of turf needed to cover the field, one needs to know the size or extent of the surface of the region to be covered. That is the definition of area, which is the measure that would be used here.
A rectangular prism has a width of 5cm, a height of 8 cm and a depth of 10cm. What is the volume of the prism
Answers
Answer:
400
Step-by-step explanation:
5 x 8 x 10 = 40 x 10 = 400
Answer:
400
Step-by-step explanation:
Tyler owned the librarian late fees he had to pay a 3% fee on the cost of the books, which was $35.62. What was he charged for a late fee?
Answers
Answer:
$1.07 for the late fees.
Step-by-step explanation:
You can find the fee for this price by finding 3% of the $35.62 (total cost of the books). You can find this number by multiplying (35.62*.03).
35.62*.03
1.0686
Round up because you cannot have part of a cent.
$1.07 for the late fees.
What would be the volume of a sphere if the radius is 6 in? Round to nearest tenth if needed
Answers
Answer:
904.8cm
Step-by-step explanation:
The volume of a sphere is given as
[tex] \frac{4}{3}\pi {r}^{2} [/tex]
There is only one variable, the radius, which we are given in the problem.
since the radius is 6 cm, we can plug that in to the formula
[tex] \frac{4}{3} \pi {6}^{2} [/tex]
Put this into the calculator, and we see that the volume is 904.8cm rounded to the nearest tenth.
It takes a bear 9 more days to eat a barrel of honey alone than it takes the bear and a second bear to eat the barrel of honey together. It takes the first bear 7 fewer days to eat a barrel of honey alone than it takes the second bear to eat a barrel of honey alone. In how many days can the two bears eat a barrel of honey together?
No links please.
Answers
Answer:
it takes the bears 12 days to eat honey together.
Step-by-step explanation:
1/x+9+1/x+16=1/x
(solve this using cross multiplication)
= x^2 = 144
x=12
answer: 12
explanation:
let x=two bears eating honey together
let x+9=first bear
let (x+9)+7=second bear **because we know the second day takes 7 more days to eat the same amount of honey as the first bear**
since the bears can finish a barrel of honey over multiple days, they can only finish part of the barrel of honey in one day.
therefore...
x/(x+9)+x(x+16)=1 or x*1/(x+9)+x*1/(x+16)=1 **the equation equals 1 because you are trying to find how much honey they eat in one day aka 1=single day**
if you solve, you get x=-12; x=12. it can only be the positive value so x=12 is your answer. your welcome fellow rsm students.
If mpho is the 50th fastest and slowest runner in her school,how many students are there in her school
Answers
Answer:
Step-by-step explanation:
i need points lol
There are 99 students in her school.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
mpho is the 50th fastest and slowest runner in her school.
Now,
Since, mpho is the 50th fastest and slowest runner in her school.
Hence, Total number of students = (50 + 50) - 1
= 100 - 1
= 99
Thus, There are 99 students in her school.
Learn more about the mathematical expression visit:
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Think About the Process What is true about a figure and an image created by a translation? The
vertices of parallelogram GRAM are G(-9, -9), R(-8, -6), A(-4,-6), and M(-5, -9). Graph
GRAM and G'R'A'M', its image after a translation 11 units right and 2 units up.
What is true about a figure and an image created by a translation? Select all that apply.
A. Each point in the image moves the same distance and direction from the figure.
B. The figure and the image are the same size.
C. Each point in the image has the same x-coordinate as the corresponding point in the figure.
OD. The figure and the image are the same shape.
Answers
Ken makes 75 cookies. He gives 35 of them to his classmates and 13 of them to his teachers. He brings the rest home. He brings home
cookies.
Answers
So ken would bring home 27 cookies
f(x)=2x-8 find a function help ;-;
Answers
(I think this is the answer)
What is the angle of 1,2,3, and 4?
Answers
Answer:
1=72
2=36
3=36
4=54
Volume of the cylinder? Use 3.14 as pi.
Answers
Answer:
V≈8906.42
Step-by-step explanation:
V=πr2h=π·92·35≈8906.41517
plz give the brainliest
Have a great day!
what is the simplified ratio of 6:4 please explain step by step
Answers
Answer:
3:2
Step-by-step explanation:
Answer:
3:2
Step-by-step explanation:
6 and 4 can be both divided by 2
In circle A, marc BC is 67° and marc EF is 74°:
Points B, C, E, and F lie on Circle A. Lines BE and CF pass through point D, creating angle EDF. The measure of arc BC is 67 degrees, and the measure of arc EF is 74 degrees.
What is m∠FDE?
Answers
Answer:
70.5
Step-by-step explanation:
just took the test
Business owners use percents to calculate markup, discount, and sales tax. A shoe store owner buys a pair of shoes for $20. There is a sale on the item for 20% off.
Answers
Answer:
$16
Step-by-step explanation:
Given data
The cost price of the shoe= $20
Discount = 20%
Let us find the amount of the 20% discount
=20/100*20
=0.2*20
=$4
Hence the selling price will be
=20-4
=$16
HELPPP PLEASE I NEED AN ANSWER
Answers
Answer:
C
Step-by-step explanation:
Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago Fourteen
years ago, Ishaan was 3 times as old as Christopher.
Answers
1 years back: Ishaan-14 = 3(Christopher-14) - Equation 2
Solve above equations:
I = 3c-42+14
I = 3c-24
I = c+20
2c-44 = 0
Christopher = 22 then from Equation 1
Ishaan = 24+ 20 = 44.