Answer:
x = log 10/log 3
Step-by-step explanation:
3^x - 4 = 6
3^x = 10
We take log base 3 of both sides since log_3 3^x is simply x.
log_3 3^x = log_3 10
x = log_3 10
We have an answer for x, but it is a log base 3. We want log base 10.
Now we use the change of base formula.
log_b y = log y/log b
x = log 10/log 3
Simplify this expression:
4(1 - 3x) + 7 x - 8
4(1-3x) + 7x -8
Use distributive property:
4 -12x + 7x -8
Now combine like terms:
-5x -4
Answer:
[tex]-5x-4[/tex]
Step-by-step explanation:
With the expression [tex]4(1-3x) + 7x - 8[/tex], we can simplify it down by applying the distributive property, then combining like terms.
[tex]4(1-3x)+7x-8\\\\4-12x+7x-8\\\\4-5x-8\\\\-5x-4[/tex]
Hope this helped!
Given: x - 7 > -2.
Choose the solution set.
A{x | x R, x > 14}
B{x | x R, x > -5}
C{x | x R, x > 5}
D{x | x R, x > -9}
Answer:
x > 5 (Choice C)
Step-by-step explanation:
x - 7 > -2
add 7 on both sides
x > 5
Answer:
x > 5 (Choice C)
Step-by-step explanation:
x - 7 > -2
add 7 on both sides
x > 5
what’s is the quotient for the rational expression shown below?
Answer:
D
Step-by-step explanation:
D is the correct answer
you need to fence off two rectangular lots. the larger of two lots is 45 feet long and 22 feet wide, while the smaller lot is 24 feet long and 16 feet wide. How much fencing in feet will you need to fully enclose both lots?
==============================================================
Explanation:
I'll assume that both lots are not adjacent. So we have two separate rectangles that aren't touching.
We use the rectangle perimeter formula
P = 2(L+W)
where L is the length and W is the width. For the first rectangle, we have L = 45 and W = 22, so
P = 2(L+W)
P = 2(45+22)
P = 2(67)
P = 134
You need 134 feet of fencing for the 45 ft by 22 ft rectangle.
Repeat for the other rectangle
P = 2(L+W)
P = 2(24+16)
P = 2(40)
P = 80
You need 80 feet of fencing for the 24 ft by 16 ft rectangular lot.
Overall, you need 134+80 = 214 feet of fencing
------------------------
Extra info (optional section):
Now if the two lots are touching in some way, then you won't need as much fencing. This is because the two lots will share the bit of fencing between them. This might apply to a portion of one side, or the entire side, of either rectangle. It depends how the lots are laid out.
The assumption that the lots aren't adjacent considers the worst case scenario, aka the situation where you'll need the most fencing (hence the largest cost). This will allow you to prepare for the worst and not be caught off guard. All of this assumes there is no waste, and that there are no gaps or overlaps. If there is expected to be some inefficiency of waste (which is fairly realistic in my opinion) then it's probably a good idea to slightly overshoot this target.
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (−2) marks are awarded for every incorrect answer and 0 for questions not attempted.
Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?
Answer:
0 points
Step-by-step explanation:
So first we see that she gets 2 questions correct,
2 * 5 = 10
Then we see that she gets 5 questions wrong,
5 * -2 = -10
Then we see that she doesn't attempt three questions,
3 * 0 = 0;
Now we add up the points,
10 - 10 + 0 = 0 points
Answer:
Heena gets 2 correct and 5 incorrect. She attempts only 7 questions so for the remaining 3 questions she will score zero marks.
So total marks scored by Heena is 5×2−5×2+0 i.e 0marks
Step-by-step explanation:
A blimp is 1100 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those measurements are 75.2° and 17.9°, how far apart are the two stadiums?
Answer:
The two stadiums are approximately 3115.1 meters away from each other
Step-by-step explanation:
Since we can construct two right angle triangles between the blimp and the two stadiums as shown in the attached image, then the distance "x" between the two can be find as the difference between the right triangle legs that extend on the ground.
In order to find the size of such legs, one can use the tangent function of the given depression angles as shown below:
[tex]tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx 290.6\,\,meters[/tex]
and for the other one:
[tex]tan(17.9^o)=\frac{1100}{b} \\b=\frac{1100}{tan(17.9^o)}\\b\approx 3405.7\,\,meters[/tex]
The the distance between the stadiums is the difference:
b - a = 3405.7 - 290.6 meters = 3115.1 meters
6 times the sum of a number and four is forty- two
Answer:
3
Step-by-step explanation:
6(x+4)=42
x=3
check:
6*(3+4)=42
what is the volume of the triangular prism
Answer:
308 cm³Step-by-step explanation:
The volume is:
V = Bl = 1/2(ah)lV = 1/2(7*8)*11 = 308 cm³[tex]\\ \rm\Rrightarrow Volume=Area\:of\;base(Height)[/tex]
[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}Base\times Height \times Height\:of\;Prism[/tex]
[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}(8)(7)(11[/tex]
[tex]\\ \rm\Rrightarrow Volume=4(7)(11)[/tex]
[tex]\\ \rm\Rrightarrow Volume=28(11)[/tex]
[tex]\\ \rm\Rrightarrow Volume=308cm^3[/tex]
what is the value of x ?
What value(s) of x make the equation x2 - 18x + 81 = 0 true?
Answer:
By factoring we get:
(x -9) * (x -9) = 0
The answers are
x = 9 and x = 9
Step-by-step explanation:
Answer:it’s A
Step-by-step explanation:
Can Someone help ill rate brainliest!!
Answer:
2
Step-by-step explanation:
Let Ishan’s age equal an unknown quantity we’ll call “x”.
An age 4 times Ishan’s would be 4 times x, written “4x”.
An age 6 years older than Ishan’s would be written “x+6”.
Now, through the magic of algebra, we can write an equation: 4x = x+6 . This means that “four times Ishan’s age is equal to his age plus six.”
The magic continues: you can subtract an”x” from each side of the equation. You can subtract any quantity from either side, but subtracting”x” will leave 6 on the right and “3x” on the left: 3x = 6.
Divide both sides by the same quantity: 3.
This will give you x =2. This indicates Ishan’s age is 2.
Answer:
Ishaan is 2 years old.
Step-by-step explanation:
We can create a systems of equations for this, assuming b is Ben's age and i is Ishaan's age.
[tex]b = 4i[/tex]
[tex]b = i+6[/tex]
Let's solve via substitution.
[tex]4i = i+6[/tex]
Subtract i from both sides:
[tex]3i = 6[/tex]
Divide both sides by 3:
[tex]i = 2[/tex]
So Ishaan is 2 years old. Ben is:
[tex]4(2) = 8[/tex] years old.
Hope this helped!
-(2x +y) - 2 ( -x - y)
....................
Answer:
First, we apply the Distributive property and then we combine like terms,
To combine like terms, we add or subtract.
[tex]-(2x +y) - 2 ( -x - y)[/tex]
[tex]=-2x-y+2x+2y[/tex]
[tex]=(-2x+2x)+(-y+2y)[/tex]
[tex]=0+y[/tex]
[tex]=y[/tex]
OAmalOHopeO
Answer:
y is the simplest result here.
Step-by-step explanation:
Perform the indicated multiplication as a first step towards simplifying this expression:
-2x - y + 2x + 2y
-2x and 2x cancel each other out, leaving 2y - y, or just y
What is the asymptote of the function g(x) = 5⋅2^ 3x + 4 shown on the graph?
Answer:
y=4
Step-by-step explanation:
An exponential function of the form has a horizontal asymptote of .
The given function is .
The graph of the given function is shown in the attachment.
From the graph the horizontal asymptote is
you have decided to hire a disc jockey for your party. the second dj you interviewed has 3 times as many songs as the first dj. the third dj had half as many songs as the second dj. write an expression to represent the number of songs the third has if the first dj had r songs. explain how you arrived at your answer
Answer:
The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.
Step-by-step explanation:
Answer:
The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.
Step-by-step explanation:
just did
A group of friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves
Complete question:
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.
Answer:
The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill
The solution x=60 represents the total food bill
Step-by-step explanation:
Given the following :
Total amount spent = $76
Amount paid as tip = $16
Number of friends = 8
Total Cost of lunch consists of:
Actual Cost of food + amount of tip
Let actual cost of food = x
Total cost of lunch is thus :
x + $16 = $76
If the friends are to each the bill equally:
Then:
Divide both sides by 8:
(1/8)* (x + 16) = 76/8
Therefore,
(x + 16) / 8 = 76/8
x + 16 = 76 / 8
(x + 16)/8 = 9.5
x + 16 = 9.5 * 8
x + 16 = 76
x = 76 - 16
x = 60
Answer:
A
and
C
Step-by-step explanation:
Simplfy |8|+|-3|-|-7|
Step-by-step explanation:
|8| + |-3| - |-7|
= 8 - 3 + 7 = 12
A loan on an investment property closed on July 1st for $765,000 at 5.5% interest amortized over 25 years at $4,697.77 per month. Using a 360-day year, what would the principal amount be after the monthly payment was made August 1st
Answer:
$763,808.48
Step-by-step explanation:
765,000 - (4,697.77 - (765,000 * .055/12)) =
$763,808.48
help me please brainliest for the best answer!!
Answer:
The volume of the irregular figure would be 102 [tex]cm^3[/tex].
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be [tex]6*3*5=30*3=90 cm^3[/tex], and the volume of the smaller rectangular prism would be [tex]3*2*2=6*2=12 cm^3[/tex]. So the volume of the entire irregular figure would be [tex]90+12=102 cm^3[/tex].
Answer:
102
Step-by-step explanation:
Large rectangle:
6 × 3 × 5 = 18 × 5 = 90
Small rectangle:
7 - 5 = 2
3 × 2 × 2 = 6 × 2 = 12
90 + 12 = 102
Hope this helped.
Given that the quadrilateral is a parallelogram, m∠S = + 19 and m ∠T = 8x - 4, what is m∠Q?
Answer:
32
Step-by-step explanation:
Brainlist plz
Answer:
[tex]\Large \boxed{161\°}[/tex]
Step-by-step explanation:
Adjacent angles in a parallelogram add up to 180 degrees.
m∠Q and m∠S add up to 180 degrees.
m∠Q + m∠S = 180
m∠Q + 19 = 180
Subtract 19 from both sides.
m∠Q + 19 - 19 = 180 - 19
m∠Q = 161
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The _____________ may be the average of 2 values in a data set.
A. range
B. interquartile range
C. mode
D. median
Answer:
as per my nowledge ans wud be b
as A means difference of highest and lowest
C means value appearing frequently
D means middle number or ascending or descending sequence
beainliest plz
Answer:
b
i dont want brainlist
Step-by-step explanation:
8 is subtracted from the square of a number
Answer:
n^2-8 is the answer
Step-by-step explanation:
If f(x) = 2x ^ 2 + 3 and g(x) = x ^ 2 - 7 , find (f - g)(x) .
Answer:
x^2 + 10
Step-by-step explanation:
f(x) = 2x ^ 2 + 3
g(x) = x ^ 2 - 7
(f - g)(x) =2x ^ 2 + 3 - (x ^ 2 - 7 )
Distribute the minus sign
=2x ^ 2 + 3 - x ^ 2 + 7
Combine like terms
= x^2 + 10
What is the answer to (6/7)/(12/21) = 4/x Algebra plz help
Answer:
(6/7)/(12/21) = 4/x
the first part of the expression :
when divide fraction: turn the sign from ÷ to × and flip the second fraction
(6/7)×(21/12)=4/x
126/84=4/x ( simplify the fraction 126/84)
GCF of 126 and 84 is 42 ( 126/48=3 and 84/42=2)
3/2=4/x ( cross multiplication ( butterfly)
1.5=4/x
1.5x=4
x=4/1.5=2.6666.......
What is a discrete probability distribution? What are the two conditions that determine a probability distribution? What is a discrete probability distribution? Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above
Answer:
The answers to the question above are given below:
Step-by-step explanation:
Question: What is a discrete probability distribution?
Answer
A discrete distribution is very important in data research as it shows in tabular form the probabilities that can be found in a list of distribution values and their individual probabilities in counted data. Usually, from the pool of distribution of numbers, the discrete distribution shows the probability of having countable numbers out of the pool.
Question: Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above
The correct answer is: option B "discrete probability distribution lists each possible value a random variable can assume, together with its probability."
Question: What are the two conditions that determine a probability distribution?
The correct answer is:
1. Since each value may not be zero, each probability must include between 0 and 1.
2. When probabilities are totaled, it must give 1.
A grain of salt is an example of which geometric figure?
Answer: point
Step-by-step explanation:
Simplify the expression. (5x2 - x - 7) + (2x2 + 3x + 4)
Answer:11+2x
Step-by-step explanation:
(10-7-x)+(4+4+3x)
3-x+8+3x
3+8+3x-x
11+2x
what is the coefficient of the variable in the expression 4-3x
As per the question,
We have to find what's the coefficient.
Let's start to seperate the expression.
Here,
x is the variable,
4 is a number.
-3 is also a number.
4, -3x
The number with x here is -3 in (-3x) as the coefficient is (-3) in the given equation.
Answer:
Hey there!
Rearrange the expression to: -3x+4
The coefficient would be -3.
Let me know if this helps :)
Please answer this question now
Answer:
94 degrees
Step-by-step explanation:
Measure of arc BCD = 53+135 = 188 degrees.
Measure of angle A = 188/2 = 94 degrees
Answer:
50
Step-by-step explanation:
what is the value of F? (ap physics summer hw) show work
See the attached picture.
What are the solutions to this quadratic equation? -2x2+x+4=0
Answer:
=1±33√4
Step-by-step explanation:
Answer:
[tex]x =\frac{1+/-\sqrt{33} }{4}[/tex]
Step-by-step explanation:
It wouldn't let me put the symbol in the equation but +/- is just the same thing as ±
This answer is correct on edmentum/plato