Answer:
54:384
the simplest form is 9:64
log subscript-4 (m^2)=log subscript-4 (18-7m)?
Answer:
m = {-9, 2}Step-by-step explanation:
log₄ (m²) = log₄ (18 - 7m)18 - 7m > 0 ⇒ 7m < 18 ⇒ m < 18/7
m² = 18 - 7mm² + 7m - 18 = 0m² + 2*3.5m + 12.25 = 30.25(m + 3.5)² = 5.5²m = - 3.5 ± 5.5m = 2 m = -9Answer:
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
Step-by-step explanation:
we are given a logarithm equation
[tex] \displaystyle \log_{4}( {m}^{2} ) = \log_{4}(18 - 7m) [/tex]
notice that, we have [tex]\log_4[/tex] both sides therefore we can get rid of it
[tex] \displaystyle {m}^{2} = 18 - 7m[/tex]
in order to solve it we should make it standard form we know that
[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]
so right hand side expression to left hand side and change its sign:
[tex] \displaystyle {m}^{2} + 7m- 18=0[/tex]
now we can solve it by using factoring method
to do so rewrite the middle term as sum or subtraction of two different terms
in that case -2m+9m is good to use
[tex] \displaystyle {m}^{2} - 2m + 9m - 18 = 0[/tex]
factor out m:
[tex] \displaystyle m({m}^{} - 2 )+ 9m - 18 = 0[/tex]
factor out 9:
[tex] \displaystyle m({m}^{} - 2 )+ 9(m - 2)= 0[/tex]
group:
[tex] \displaystyle (m - 2)(m + 9) = 0[/tex]
hence,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
remember that,
when we deal with logarithm equation we should always check the roots
let's check the root 1:
[tex] \displaystyle \log_{4}( {2}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify square:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify multiplication:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 14) [/tex]
simplify substraction:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(4) [/tex]
simplify logarithm:
[tex] \displaystyle 1 \stackrel{ \checkmark}{=} 1[/tex]
let's check root 2:
[tex] \displaystyle \rm \log_{4}( { - 9}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.( - 9)) [/tex]
simplify square:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{?}{=} \log_{4}(18 + 63) [/tex]
simplify addition:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{ \checkmark}{=} \log_{4}(81) [/tex]
therefore,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
Is 40/1000 and 40% an equivalent pair
Answer:
No
Step-by-step explanation:
40/1000 is 4%
Answer:
no, it would be equivalent if it was 4%
Step-by-step explanation:
Find the value of c that makes x2 + 6x + c a perfect square. Then write the trinomial as a perfect square.
Hi there!
[tex]\large\boxed{c = 9, (x +3)^2}[/tex]
To find the value of c, we can say:
ax² + bx + c
(b/2)² = c
Therefore:
(6/2)² = 3² = 9
Rewrite the trinomial:
x² + 6x + 9
To write as a binomial, take the square root of c:
√9 = 3
Thus:
(x + 3)² = x² + 6x + 9
Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range
Answer:
Mean: 4
Mode: 4
Median: 6
Range: 5
Step-by-step explanation:
Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Mode: Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
find the amount of sap maple syrup producer would have cod from each tree if the total amount (5gallons) was redistributed equally among the trees
Answer: hi
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
hope is helps <3
What are the x-intercepts of y = x^2 + 5x - 1?
Answer:
hope this helps:) have a good day
What is the y-intercept of this line?
12, 8, 4, 0
Step-by-step explanation:
Thank Me. Super.
You can send 34 text messages in 12 minutes. How many minutes does it take you to send 68 messages?
Answer:
24
Step-by-step explanation:
34 messages per 12 minutes
68 is just 34 mulitplied by 2.
it would take you twice as long because there are twice as many messages.
12 minuted multipled by 2 is 24.
It would take you 24 minutes to send 34 messages.
Answer:
24 minutes
Step-by-step explanation:
34/12
68/x
34*2=68
12*2=24
What is the mead absolute deviation of this data set?
A) 1.56
B) 143
C) 14.3
D) 15.6
What is the circumference of the pancake?
prove triangle AOC is congruent to triangle BOD
Step-by-step explanation:
We are given two Triangles and we need to prove them congruent . In ∆AOC and ∆BOD , we have
[tex]\to AC = BD ( given ) \\\\\to OD = OA \\\\\to \angle CAO =\angle BDO (Since\ BD || AC ) [/tex]
Therefore by AAS congruent condition we can say that ,
[tex]\implies\red{ \triangle AOC \cong \triangle BOD }[/tex]
Hence Proved!
Gretta wrapped 15 presents every 20 hours. At that rate, how long, in hours, will it take to wrap 18 presents? label optional
Answer:
[tex]15 \: presents = 20 \: hours \\ 18 \: presents = ( \frac{18}{15} \times 20) \: hours \\ = 24 \: hours[/tex]
Time required to wrap 1 present
20/154/3hTkme to wrap 18 present
18(4/3)6(4)24hThe number 40 is 5 percent of what number?
A) 80 B) 8 C) 200 D) 2 E) 800
Answer:
800
Step-by-step explanation:
Is means equals and of means multiply
40 = 5% *N
Change to decimal form
40 = .05N
Divide each side by .05
40/.05 =.05N/.05
800 = N
What is the solution to the system of linear equations graphed here?
A (2,-1)
B (-1,2)
C (2,1)
D) No Solution
Answer:
One solution, A) (2 , -1)
Step-by-step explanation:
The solution is where the two lines intersect. If the lines do not intersect, it is no solution. If the line intersects once (like in the picture), it has one solution. If it intersects more than once (x), then it will have x amount of solutions.
In this case, the intersection is at (2 , -1), therefore, A) (2 , -1) is your answer.
~
PLEASE HELP QUICK ITS ALMOST DUE!
What is the slope of the inequality of the red line in this graph
Jada uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 4 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:Amount of blue paints used to paint bedroom walls=1.48 pints
Step-by-step explanation:
total pints of white paint and blue paint = 7.4 pints
Amount of white paint=4/ 5 x 7.4 pints=5.92pints
Amount of blue paints used to paint bedroom walls=total pints of paints used -Amount of white paint used
= 7.4 pints-5.92pints
=1.48pints
Write an equation of the line that passes through point P and is parallel to the line with the given equation: P(2,5) Y-1=4x
Given:
The equation of a line is:
[tex]y-1=4x[/tex]
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
[tex]y-1=4x[/tex]
It can be rewritten as
[tex]y=4x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=4[/tex]
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=4(x-2)[/tex]
[tex]y-5=4x-8[/tex]
[tex]y=4x-8+5[/tex]
[tex]y=4x-3[/tex]
Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].
The measure of two sides of a triangle are given. If the perimeter is 11x^2 - 29x + 10, find the measure of the third side.
Answer:
I would say use photomath if you cant find your answer.
Step-by-step explanation:
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.
Answer:
Minimum 100 bicyclesMinimum cost is 13500Step-by-step explanation:
Given function:
C(x) = 3x^2- 600x + 43500a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
Vertex of the given function is:
x = -(-600)/(2*3) = 100b.
Cost at vertex is:
C(100) = 3*100^2 - 600*100 + 43500 = 13500I need help on one question. Please someone help me. Don’t put a link. I only need help on 22.
Answer:
Supplementary
Step-by-step explanation:
Plz help so I can pass
Answer: 36.2
Step-by-step explanation:
divide 30 by two (15)
use the pythagorean theorem (a^2+b^2=c^2)
15^2+33^2=x^2
225+1089=x^2
1314=x^2
36.249137... = x
couldn't write it out so i took a pic of it
Answer:
4th is the answer
Step-by-step explanation:
Answer:
the measure of <ABD = 1/2 the measure of <ABC is the answer :)
Step-by-step explanation:
what is the slope of the line
Answer:
The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
Answer:
the slope of the line is 1
Step-by-step explanation:
The line goes 1 up, 1 right, 1 up 1 right ........
1 divided into 1 = 1
Use the Pythagorean theorem to find the unknown side of the right triangle.
Hypotenuse length_____
Answer: If you use a^2+b^2=c^2 formula you should get your answer of 39
Step-by-step explanation:
Yoko can type 36 words in 6 minutes what is her rate in the words per minute
Answer:
6 words per minute
Step-by-step explanation:
Divide 36 by 6 minutes to find how many words per minute
Answer:
6 words per minute
Step-by-step explanation:
36 words/ 6 minutes = 6 words per minute
Whoever answers correctly gets brainliest.
Answer:
C. r+r+r+t+t = 3r + 2t
Step-by-step explanation:
because we cant add numbers with different variables
what is this ecspression in simplified form
(-7 square root 3)(11 square root 10)
Answer:
-77·√30
Step-by-step explanation:
(-7)·√3·11·√10 = (-77)·√3·10 = -77·√30
5+2x = -27/8
How explain
Answer:
x = -4 3/16.
Step-by-step explanation:
First, convert -27/8 to a mixed number. -3 3/8.
So we can take 5 + 2x = -3 3/8 and subtract 5 from both sides (to get rid of the 5 on the left)
The equation turns into this: 2x = -8 3/8.
Now we can divide by 2 on both sides.
The equation becomes x = -4 3/16.
Hope this helps!
Which expression is equivalent to sqrt10/4sqrt8
Answer:
i think it is the third one.
Step-by-step explanation:
Answer:
first choice: ⁴√200 / 2
Step-by-step explanation:
√10 / ⁴√8 = ((√10)*(⁴√2)) / ((⁴√2³)*(⁴√2))
= (⁴√100 * ⁴√2) / (⁴√2⁴)
= ⁴√200 / 2
Help! I don't get it!