Answer:
P=log(2)+log(3)+4.log(x)
Step-by-step explanation:
To solve the problem, we need to recall the following properties of the logarithms:
[tex]log(x.y)=log(x)+log(y)[/tex]
[tex]log(x^y)=y.log(x)[/tex]
We have the expression:
[tex]P=log(6x^4)[/tex]
Factor 6=2*3:
[tex]P=log(2\cdot 3x^4)[/tex]
Apply the property of the product:
[tex]P=log(2)+log(3)+log(x^4)[/tex]
Now apply the property of the exponent:
P=log(2)+log(3)+4.log(x)
on Monday the price of gas decrease 6 cent on Tuesday in increased 9 cent what was the overall decrease or increase of the price of gas by the of the day on Tuesday
Answer:
The increase would be 3 cents
Step-by-step explanation:
x is an integer Write down all the solutions of inequality 3<2x +1 < 13
Answer:
1<x<6
Step-by-step explanation:
subtract 1 from every side: 2<2x<12
divide 2 every side: 1<x<6
Answer:1
Step-by-step explanation:
What is the solution, if any, to the inequality |3x|2O?
Answer:
No solutions
Step-by-step explanation:
(11x-3) (4x+39) find x
Answer:
x=6
Step-by-step explanation:
for every 5 hours that he works, andre is paid $60.20. use this information to complete the table.
Answer:
i hope u understand this
Step-by-step explanation:
i have not even tried it before
but i am sure is excellent
The posted weight limit for a covered wooden bridge in Pennsylvania is 6000 pounds. A delivery truck that is carrying x identical boxes each weighing 14 pounds will pass over the bridge. If the combined weight of the empty delivery truck and its driver is 4500 pounds, what is the maximum possible value of x that will keep the combined weight of the truck, drives, and boxes below the bridge's posted weight limit?
Answer:
The answer to x is 107
Step-by-step explanation:
If the driver and truck weigh 4500 and the bridge is can hold 6000 lbs. than there is room for 1500 more lbs. multiply 14 by 100 and get 1400, than multiply 14 by 7 and get 98. Add those to to get 1498. So the answer is x=107
The scatterplot below shows the average yearly consumption of bottled water by people in the United States starting in 1990. Using the trend line, predict the average consumption of bottled water in the year 2000.
Can anybody please help me out on question 4? I would really appreciate it so much. Please and thank you .
Step-by-step explanation:
b im not sure but my answer is b
math question plz help
Answer:
1.8z^2
2.6p^5
3.Yes
Step-by-step explanation:
1.You have to use the Quotient Rule and subtract the exponents but sense they do not have the same base number you would divide the bases 24/3=8 and 4-2=2 and leave the variable the same
2.You would multiply 3*2 giving you six and then you would add the exponents together giving you 5 leaving 6p^5 as your final answer
3.When solving an equation like this you have to use The Product Rule meaning exponents with the same base number you would add the exponents which in this case results in 3+7=10 therefore leaving you with a^10
HOPE THIS HELPS!!!
WHAT IS 144 + 19 PLEASE HELP!!
Answer:
144+19= 163
Step-by-step explanation:
hope this helps! Have a great day!
Answer:
163
Step-by-step explanation:
ADD
A box of candy includes 36 pieces. If 2/5 of the candy are peppermints and the remaining candy is chocolates. How many pieces are chocolates?
Answer:
about 22 chocolate pieces
Step-by-step explanation:
total candy - peppermints = chocolate
5/5 - 2/5 = 3/5 chocolates
x/36 = 3/5
cross multiply
x × 5 = 36 × 3
5x = 108
divide both sides by 5
x = 21.6
find the x intercept x-y=-1
can someone help me with the following question in the picture please
Answer:
its a straight origin
Step-by-step explanation:
I'm smart
The total weight of 30 bags of flour and 4 bags of sugar is 42.6 kg.If each bag of sugar weighs 0.75 kg,what is the weight of each bag of flour?
I need help with these 2 questions, please help me.
Answer:
The probability of the spinner landing on 2 is one fourth.
Step-by-step explanation:
The spinner is split into 4 equal parts labeled 1, 2, 3, 4
The probability of the spinner landing on 2 is given as:
(Possibility of it landing on 2) ÷ (Total possible outcome)
The total possible outcome is 4, because the spinner could land on 1, or 2, or 3, or 4.
It can only land on 2 once, so the possibility of it landing on 2 is 1.
Probability = 1/4
Jaycie has 21 gallons of gas in her car and uses approximately .05 gallons of gas each mile that she drives. Which equation shows the linear relationship between x, the number of miles Jaycie has driven, and y, the total gallons of gas in her car? a. Y = 21x - .05 b. Y = -.05(x+21) c. Y = 21 - .05x d. Y =21 + .05x
Given:
Jaycie has 21 gallons of gas in her car and uses approximately .05 gallons of gas each mile that she drives.
To find:
The equation which shows the linear relationship between x, the number of miles Jaycie has driven, and y, the total gallons of gas in her car.
Solution:
We have,
Initial amount of gas in car = 21 gallons
So, y-intercept of the linear relationship is 21.
It uses approximately .05 gallons of gas each mile that she drives.
It means, the gas is decreased by .05 gallons for each mile.
So, slope of the linear relationship is -0.05. Here, negative sign represents the decrease in amount of gas.
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept or initial value.
Substitute m=-.05 and b=21 in the above equation.
[tex]y=-.05x+21[/tex]
[tex]y=21-.05x[/tex]
So, the equation [tex]y=21-.05x[/tex] represents the linear relationship between x, the number of miles Jaycie has driven, and y, the total gallons of gas in her car.
Therefore, the correct option is c.
PLEASE HELP MEEEEE???????!!!!!!!
Answer:
3
Step-by-step explanation:
18 divided by 6 is 3
Answer:1.333
Step-by-step explanation:
I think the answer is -24 but im not too sure. HELP ME
Answer:
You're right! It's -24.
Step-by-step explanation:
Integers do not include fractions, so you are left with:
A. 98
D. -24
Whole numbers do not include negative numbers, though, so A is the only whole number. That leaves you with D.
You're welcome.
A submarine descends at a rate of 2.6 kilometers per hour.
If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?
Round your answer to the nearest tenth. Enter your answer in the box.
Answer:
6.24/2.6 = 0.24
0.2 is the answer
Step-by-step explanation:
Answer:8.84 if you add -3.63 when sub 14.976 when multiplyed and 0.2 when devided
Step-by-step explanation:
i just use a simple mdethod and it was to do all the pfroblems then do what ever to them to get my answer
Find the missing angle in the triangle
Answer:
61.
...juodkybog itt g8txogit I.
Answer:
C- 61 degrees
Step-by-step explanation:
56+63+x= 180 (angle sum of triangle)
119+x=180
x=180-119
x= 61
Therefore ans= C
5/6y-9=1/6y-5
What’s y
Answer:
y=4/6
Step-by-step explanation:
Step 1: Add 9 to both sides.
5/6y -9 = 1/6y -5
5/6y = 1/6y +4
Step 2: Subtract 1/6 to both sides.
5/6y= 1/6+4
y=4/6
If you are confused still, 5/6 - 1/6 is 4/6. Remember signs matter, because if the original equation was 5/6y -9 = -1/6y -5 the answer would be y= 4!
I hope this helps!! CAN I GET BRAINLIESTT?
Which of the following represent the distance formula? Select all that apply.
A. d=(x1−x2)2+(y1−y2)2−−−−−−−−−−−−−−−−−−−−−−−−−√
B. d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−−−−−−−−√
C. d=(x2+x1)2+(y2+y1)2−−−−−−−−−−−−−−−−−−−−−−−−−√
D. d=|x2−x1|2+|y2−y1|2−−−−−−−−−−−−−−−−−−−−−−−√
The distance formular is represented as :
d = √(x2 - x1)² + (y2 - y1)²
Let d = distance
The vertical and horizontal coordinates as x and y respectively ;
The square root of the sum of square of the difference between the x and y coordinates ;
Distance = √(x2 - x1)² + (y2 - y1)²
Hence, d = √(x2 - x1)² + (y2 - y1)²
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What is the positive solution to (x+7)(x−4)=0?
The positive solution would be 4
10. A pizzeria charges $11.00 for a large cheese pizza and $0.75 per topping on the pizza. Find the slope.
A. $11.00
B. $0.75
C. $11.75
D. $10.25
Answer:
I'm pretty sure the answer is "D".
Step-by-step explanation:
attached is my problem
Answer:
f(x) = 3x - 3
Step-by-step explanation:
First, the slope of the line has to be the same for it to be parallel, so the slope(coefficient of x) of the equation is 3.
Next, to make it pass through that specific point, we need to add/subtract a number to make the equation cross that point.
f(x) = 3x at x = 2 evaluates as 6, but the equation needs to pass through the point (2, 3), so we subtract 3 from the equation, leaving us with f(x) = 3x-3.
Members of the theater club sold tickets for the spring
musical. On Friday night, they made $125 in presales a
sold 120 tickets at the door. For the Saturday night sho
they earned $180 in presales and sold 110 tickets at the
door, If the theater club earned the same amount each
night, what is t, the cost per ticket?
Answer:
C. 125 + 120x = 180 + 110x
t = $5.5
Step-by-step explanation:
A.125t + 120 = 180t + 110
B. 120t + 110t = 125 + 180
C. 125 + 120t = 180 + 110t
D. 125 - 120t = 180 - 110t
Friday
$125 + 120t
Saturday
110t + 180
equate Friday and Saturday
125 + 120t = 110t + 180
Collect like terms
125 - 180 = 110t - 120t
-55 = -10t
Divide both sides by -10
t = -55 / -10
= 5.5
t = $5.5
Find the domain of the graphed function.
Walter and Brian each have a CD collection. • The number of CDs in Walter's collection can be represented by x. • The number of CDs in Brian's collection is 3 times the number in Walter's collection. • The total number of CDs in both collections is 144. What is x, the number of CDs in Walter's collection?
Answer:
Number of CDs in Walter's collection = x = 36
Step-by-step explanation:
x denotes number of CDs in Walter's collection.
Also, the number of CDs in Brian's collection is 3 times the number in Walter's collection.
Number of CDs in Brian's collection [tex]=3x[/tex]
Total number of CDs in both Walter's collection and Brian's collection = 144
[tex]x+3x=144\\4x=144\\x=\frac{144}{4}\\ x=36[/tex]
So,
Number of CDs in Walter's collection = x = 36
Find the equation of the line in slope intercept form
Answer:
y= 1/3x-3
Step-by-step explanation:
rise /run
-3 is the point you start
Answer:
y = 1/3x - 3
Step-by-step explanation:
First, find the slope
(3, -2)
(0, -3)
-2-(-3) = 1
3 - 0 = 3
Slope = 1/3
Now, find the y intercept
y = mx + b
-2 = 3 * 1/3 + b
-2 = 1 + b
-3 = b
Rewrite the equation
y = 1/3x - 3
Please let me know if I did something wrong!
Which of the following equations represents a line with a positive slope and a negative y-intercept?
HELP PLEASE!!!!!!!
The y-intercept is the value in the equation without the x and the slope is the value in the equation with the x, it would respond to y = 7.5 - 2
What is the Equation of a Line?A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general version, which is of the type ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.
The y-intercept is the value in the equation without the x and the slope is the value in the equation with the x, it would respond to y = 7.5 - 2
Therefore, the correct answer is option C) y= 7.5x-2.
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