Given:
The expression is
[tex]2\log c+3\log k[/tex]
To find:
The value after condense the logarithm.
Solution:
We have,
[tex]2\log c+3\log k[/tex]
Using properties of logarithm, we get
[tex]=\log c^2+\log k^3[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]=\log (c^2k^3)[/tex] [tex][\because \log (ab)=\log a+\log b][/tex]
Therefore, the required value is [tex]\log (c^2k^3)[/tex].
Two people compete in a five-mile go kart race. Person A travels 1/10 miles every 15 seconds while Person B travels 3/8 mile every 48 seconds. Who wins the race? What is the difference of the finish times of the competitors?
Answer:
a) Person B wins the race.
b) The difference in the finish times of the competitors is 110 s.
Step-by-step explanation:
a) We can find the time that takes Person A and B to finish the race:
Person A:
[tex] t_{F_{A}} = \frac{t_{A}}{d_{A}}*d_{T} [/tex]
Where:
[tex]t_{A}[/tex]: is the time of Person A = 15 s [/tex]
[tex]d_{A}[/tex]: is the distance of Person A = 1/10 miles [/tex]
[tex]d_{T}[/tex]: is the total distance = 5 miles [/tex]
[tex] t_{F_{A}} = \frac{15 s}{1/10 miles}*5 miles = 750 s [/tex]
Person B:
[tex] t_{F_{B}} = \frac{t_{B}}{d_{B}}*d_{T} = \frac{48 s}{3/8 miles}*5 miles = 640 s [/tex]
Hence, Person B wins the race.
b) The difference in the finish times is:
[tex] t_{F_{A}} - t_{F_{B}} = 750 s - 640 s = 110 s [/tex]
Therefore, the difference in the finish times of the competitors is 110 s.
I hope it helps you!
The employees van assemble 1,576 cell phones in 8 hours.
If these employees continue to work at the same rate,how many cell phones will they assemble in 53hours?
A - 12,608
B - 10,441
C - 83,528
D - 70,920
Answer:
10,441
Step-by-step explanation:
1576/8=197
197x8=10,441
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,3)
slope = 4
O A. y = 3x + 4
O B. y = 3x - 4
O C. y = 4x-3
D. y = 4x + 3
help asap
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4 and c = 3, then
y = 4x + 3 → D
Answer:
b
Step-by-step explanation:
4, 6, 2, 6, 9, 3, 5
Mode ??
Median ?? Mean??
explanation ;)
MEAN - add all the numbers = 4+6+2+6+9+3+5 =42
then you count have many numbers you got 7
after that you divided 7/42 = 6 that the mean or something call average:)
MEDIA - to find out was the meaning is you first make in order like youngest to oldest 2, 3, 4, 5, 6, 6, 9 and circle what numbers is on the middle that is 5.
listen if there even amounts of numbers you just circle the two numbers in the middle then add does two numbers and divide dy 2 ONLY IF IS EVEN
MODE- look for the two numbers they are the same 6
and that's the mode
6,5,6
A washing machine uses 40 gallons of water to wash 5 loads of laundry. The amount of water used varies directly with the number of loads of laundry. How many gallons of water would be used to wash 12 loads
What is the area of this figure? Enter your answer in the box. cm2
Answer:
35 cm²Step-by-step explanation:
Area of the bottom part (the square) is:
5*5 = 25 cm²Area of the top part (the triangle) is:
1/2*5*4 = 10 cm²Total area is:
25 + 10 = 35 cm²Answer:
The area of this figure is 35 cm².
Step-by-step explanation:
Area of the square part (lower part)= 5²=25cm²Area of the triangular part (upper part)=1/2×4×5=10cm²Total Area= (Area of the square+Area of the triangle) =(10cm²+25cm²)=35cm²does anybody know this ?
Answer:
37 degrees
Step-by-step explanation:
First, solve for the angle beside 152 degrees. Subtract 180 to 152 and you get 28 degrees. Next, we add 28 degrees to 115 degrees, which is 143 degrees. After, we subtract 143 from 180 (since the total angle of a triangle is 180) and we arrive at 37 degrees.
amy has 24 dolls, 18 of her dolls have blond hair and the rest have black what is the ratio of the number of dolls that have black hair to the number of dolls that have blond haie
Answer: 6 : 24 is for black haired and 18 : 24 is for blond
Step-by-step explanation:
18 : 24
24 - 18 = # of black haired dolls
6 = # of black haired dolls
Ratio
6 : 24
Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form
Answer:
y = 3x -2
Step-by-step explanation:
The general equation form is;
y = mx + b
where m is the slope and b is the y-intercept
For the equation given;
y = 3x -5
the slope from here is 3
If two lines are parallel, they have equal slopes
This mean that the slope of the line we want to calculate too is 3
Now we can use the point slope format to get the correct equation
y-y1 = m(x-x1)
y+ 5. = 3(x+ 1)
y = 3x + 3 -5
y = 3x -2
NEED THE ANSWER NOWWWWW!!!!!!!!!!!
Graph the following features: Slope = -3 Y-intercept = 4
Answer:
Step-by-step explanation:
Use Desmos. Y-intercept is 4 so start from there (place a point on (0,4)). From the y-intercept use the slope. -3 technically means three down and one to the right.
y-intercept form --> y= -3x + 4
answer choices
A. -4
B. 5.8
C.4
D.8
Answer:
the answer is C (4)
convert 0.11 to a percentage
NEED TO BE ANSWERED ASAP
I will award them the brainliest
Answer:
11%
Step-by-step explanation:
0.11*100=11%
necause 1%=1/100
Winston has $200. He spends 20% of his money on a pair of shoes. how much money did he spend on the pairs of shoes?
Answer:
$40
Step-by-step explanation:
200 - 20% = 160
200 - 160 = 40
Answer:
40 dollas!!!! if your on k12 anything its 40
Step-by-step explanation:
reduce to the simplest form[tex]\frac{286}{858}[/tex]
Answer:
143 over 428
Step-by-step explanation:
1+ 2/5 × 4/5 ÷ 1/2( these are fractions btw)
Answer:
41/25 or 1 16/25
Step-by-step explanation:
1 + 2/5 x 4/5 ÷ 1/2
do multiplication first
2/5 x 4/5 = 8/15
1 + 8/25 ÷ 1 /2
do division by multiplying by the reciprocal
1 + 8/25 x 2/1
1 + 16/25 = 1 16/25
NEED HELPP CORRECTT ANSWERS AND WILL GIVE THANKS AND MARK BRAINLIST ONLY FOR CORRECT ANSWER
4,20
i think that the answer
Justin can replace three windows in an 8 hour day. How many hours will he need to replace 20 windows on a house
Convert the following equation to Slope-Intercept Form
HINT: Slope-Intercept Form is y = mx + b
y+1 = -5(x – 3)
What is 5 times 10 pls help me
Answer:
50
Step-by-step explanation:
something called a calculator
Leah leaves school to go home. She walks 5 blocks north and then 8 blocks west. How far is Leah from the school?
Answer:
13 Blocks Away From School
Step-by-step explanation:
5 + 8 Is 13
Answer: 13 blocks from school
Step-by-step explanation:
What is the best prediction of the amount of money earned when the lemonade stand has been open for 9 hours
Answer: $50
Step-by-step explanation: Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)
It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.
*inhale* AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Answer:
ANSWER IS CAUSE ONES A NEG AND ONES A POSITIVE HAPPY TO HELP
Step-by-step explanation:
PLEASE HELP!!! THIS IS MY LAST QUESTION!! PLEASE(show work)
Answer:
sign = negative, degree = 5Step-by-step explanation:
The graph has negative leading coefficient as
x → ∞, y → - ∞It is of the odd degree, and the degree is most probably 5
a triangle has side length of 10 inches, 24 inches, and 26 inches. Is the triangle a right triangle
Answer:
yes!
Step-by-step explanation:
one side is longer than the other then the 10 inch line is used to connect them!
(hope this helps)
HELP ASAP!!!!!!!!!!!!
Answer:
It would be the second one, angle A would equal angle F
Step-by-step explanation:
They are both in the same position. A is the first one in the sequence ABC and F is the first one in the sequence FED
I need help Finding the perimeter of a towel that measures 2 feet by 34 foot
Answer:
72 feet
Step-by-step explanation:
multiply 34 by 2 (because there is 2 sides), and multiply 2 by 2 (because there is 2 sides), and you'll get 68 and 4. add them together, and you'll get 72.
Please help me. Solve by using substitution.
Answer:
y=-3x+3..........(1)
6x+2y=6
putting value of y
6x+2(-3x+3)=6
6x-6x+6=6
o=0
sorry I do not get answer
Answer:
x=1, y=0
Step-by-step explanation:
Which of the following statements is false?
8<8
2>8
2<8
2<8
Answer:
8<8 and 2>8 are both false
Answer:
B
Step-by-step explanation:
2cos(2x)=6sinx+1
Simplify
Answer:
x=0.15197212 +2 pie n, 9.27280583 + 2 pie n for any integer n.
Brainliest for the correct answer!
Step-by-step explanation:
(4z +9) + ( 9y - 2) =180
4z + 9y = 173 ....... Equation 1
The angles of triangle = 180
We miss one angle and in opposite of that angle is 135 so
( 5y +5 +4z +9)+135 = 180
5y + 4z + 149 = 180
5y + 4z = 31 ....... Equation 2
Subtract between two equations 1 & 2
4y = 142
y = 142/4
y = 35.5