Answer:
x = 18
Step-by-step explanation:
6 − x = −12
subtract 6 from both sides
- x = - 18
divide both sides by -1
x = 18
Answer:
x=18
Step-by-step explanation:
6 - x = -12
-6 -6
----------------
-x = -18
*divide by -1*
x = 18
hope this helps! :D
have a MIRACULOUS day!! <3
If Victoria's rent is $400 per month, and she pays an additional $150 for utilities and $35 for advertising each month, what is her cost function using the additional data from previous problem? Use C to denote cost and n for number of collars she makes.
Answer:
[tex]C(n) = 435n + 150[/tex]
Step-by-step explanation:
Given
[tex]Base = 400[/tex] -- Base charge per month
[tex]Utilities = 150[/tex]
[tex]Adverts = 35[/tex] per month
Required
The cost function
To do this, we multiply the rates by the number of months.
So, we have:
[tex]C(n) = Base * n + Adverts * n + Utilities[/tex]
So, we have:
[tex]C(n) = 400 * n + 35 * n + 150[/tex]
[tex]C(n) = 400n + 35n + 150[/tex]
[tex]C(n) = 435n + 150[/tex]
3. Seth invested money in two accounts, one paying 5% simple interest and the other paying
6% simple interest. The amount invested at 6% was $1000 more than the amount invested at
5%. He earned a total of $830 interest in 1 yr. Determine the amount invested in each
account.
Answer:
7000 and 8000 respectively
Step-by-step explanation:
Let x be invested in first account and x+1000 be invested in second account.
ATQ, 830=(5)*x/100+6*(x+1000)/100. Solving it will give us x=7000
The amount Seth invested at 5% is 7000 dollars and the amount Seth invested at 6% is 8000 dollars.
What is a percentage?A percentage is a value per hundredth. We can also convert percentages into decimals and fractions.
We know, SI = P×r×t/100, where SI = Simple interest, P = principle,
r = rate in % and t = time in years.
Assuming the total amount to be x dollars.
∴ x×5×1/100 + ( x + 1000)×6×1/100 = 830.
5x/(100) + (6x + 6000)/100 = 830.
5x + 6x + 6000 = 83000.
11x = 77000.
x = 7000.
Therefore the amounts are 7000 and (7000 + 1000) = 8000.
learn more about percentage here :
https://brainly.com/question/24159063
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Please show your work this question what made you come to the conclusion. Thank you
Answer:
B the range, the x- and y-intercept
Step-by-step explanation:
the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).
but the range changes, as for the original function y could only have positive values - even for negative x.
the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.
the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.
the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.
the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.
the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)
[tex] 3 {b}^{x + 1} = 2[/tex]
[tex] {b}^{x + 1} = 2 \div 3[/tex]
[tex] log_{b}(2 \div 3) = x + 1[/tex]
[tex]x = log_{b}(2 \div 3) - 1[/tex]
Subtract the complex numbers: (–2 + 12i) – (–1 – 9i)
Question 18 options:
A)
–3 + 21i
B)
–1 + 21i
C)
–1 + 3i
D)
–3 + 3i
Answer:
B
Step-by-step explanation:
hope it is well understood
(-8^4 y^7) (-6^3 y z10^4)
Answer:
216 * 80^4 * y^8 *z
Step-by-step explanation:
Just use the foil method to solve and add like terms.
PLEASE HELP!!!!!!!!!!!!!!!! (answer in decimal!!!!!!!!)
9514 1404 393
Answer:
0.75
Step-by-step explanation:
You know that ...
P(S or T) = P(S) +P(T) -P(S and T)
When events are mutually exclusive, P(S and T) = 0. Then ...
P(S or T) = 5/8 + 1/8 = 6/8 = 3/4
P(S or T) = 0.75
Correct
Suppose it takes John 27 minutes to run 3 miles. How long would it take him to run 4 kilometers? Round your answer to the nearest minute,
lil Keypad
Answer
Keyboard Shortcuts
min
Submit Answer
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Answer:
Step-by-step explanation:
4km
[tex]\frac{3 }{27} \frac{miles}{minutes}[/tex] * [tex]\frac{60}{1} \frac{min}{hour}[/tex] * [tex]\frac{1}{.6213} \frac{km}{mile}[/tex]
4km ÷ 10.73 km/hr = .37 hr = 22.3 minutes
Help me solve the question in picture
9514 1404 393
Answer:
√5 +√6
Step-by-step explanation:
We know that the square of a binomial is ...
(a +b)^2 = a^2 +2ab +b^2
Then the square root of it is ...
a + b = √(a^2 +b^2 +2ab)
Using a=√x and b=√y, this is ...
√x +√y = √(x + y + 2√(xy))
__
For the given expression, we need to find x and y such that ...
xy = 30 and x+y = 11
Using x=5, y=6, we meet those requirements.
[tex]\displaystyle \sqrt{11+2\sqrt{30}}=\sqrt{5+6+2\sqrt{5\cdot6}}=\boxed{\sqrt{5}+\sqrt{6}}[/tex]
Answer:
√5+√6 ≈ 4.68555772
Step-by-step explanation:
I hope it's correct
The figure below is a net for a right rectangular prism. Its surface area is 104 ft2 and
the area of some of the faces are filled in below. Find the area of the missing faces,
and the missing dimension.
Answer:
12+12+10+10=44
104-44=60
60÷2=30
30 is the surface area of A
30÷6=5
5 is a missing dimention
Question with last attempt is displayed for your review only
Amanda rented a bike from Ted's Bikes.
It costs $9 for the helmet plus $5.25 per hour.
If Amanda paid about $43.13, how many hours did she rent the bike?
Let h = the number of hours she rented the bike. Write the equation you would use to solve this problem.
Answer:
[tex]43.13 = 5.25h + 9[/tex]
Step-by-step explanation:
Let's solve this by making an equation.
$9 for the helmet, and $5.25 per hour.
h will stand for hours, C will stand for Amanda's cost.
[tex]C = 5.25h + 9[/tex]
Now, substitute in what we learned from the problem.
[tex]43.13 = 5.25h + 9[/tex]
This is an equation you can use to solve for the hours.
Ayuda por fa con estos ejercicios por fa urgente
Step-by-step explanation:
A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.
h=-16t^2+16t+32
express the following in standard form
1) 5,94,00,00,00,000
2) 6892.25
Plz tell
Answer:
first one is going to be
5.94x10¹¹
second one is going to be
6.89225x10³
A population of values has a normal distribution with μ= 180.1
and σ=100. You intend to draw a random sample of size n=94
What is the mean of the distribution of sample means?
What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
A sample of size n taken from a normally distributed population with mean µ and standard deviation σ has a sample mean of µ and standard deviation of σ/√n.
So the sample mean would still be 180.1, while the sample standard deviation would be 100/√94 ≈ 10.31.
The graphs of exponential functions f and g are shown on the coordinate plane below.
9514 1404 393
Answer:
k = 3
Step-by-step explanation:
It is convenient to look at the line y=1 to see that f(0) = 1 and g(3) = 1. Then for x=3, g(3) = f(3 -k) = f(0) = 1
k = 3
__
k is the amount by which the function has been shifted to the right. By comparing grid-intersection points on f(x) and g(x), we see that g(x) is 3 units to the right of f(x), so k = 3.
I will give you brainliest if you answer this correctly
Answer:
Mark Brainliest please
The answer is 1
Step-by-step explanation:
(1 — x^ m-n) ^-1 + (1- x ^n-m)^ -1
1/[1-x^(m-n)] + 1/[1-x^(n-m)]
1/[1-x^m × x^(-n)] + 1/[1-x^n × x^(-m)]
x^n/(x^n - x^m) + x^m/(x^m - x^n)
x^n/(x^n - x^m) - x^m/(x^n - x^m)
Now taking the LCM here, we get
(x^n - x^m)/(x^n - x^m)
Please tell me answer not by directly step by step please don't write answer only please please please
y + z + r + x = 360
2x + 3x + 4x + x = 360
10x = 360
x = 360/10
x = 36
Now
x = 36
y = 72
z = 108
r = 144
Answered by Gauthmath must click thanks and mark brainliest
Question 5(Multiple Choice Worth 2 points)
(02.05)
Determine the vertex of the function f(x) = −4(x − 3)2 + 6.
(6, −3)
(6, 3)
(3, 6)
(−3, 6)
Answer:
(3, 6)
Step-by-step explanation:
The vertex form of a quadratic is y = a(x-h)^2 + k
where (h, k) is the point of the vertex. So the answer is (3,6)
Find the measure of the missing angles.
We know that vertically opposite angles are equal.
So, k = 131° [Vertically opposite angles]
and g = 43° [Vertically opposite angles]
We know that linear pair of angles are supplementary (180°).
So, h + 43° = 180° [Linear pair of angles]
=> h = 180° - 43°
=> h = 137°
and m + 131° = 180° [Linear pair of angles]
=> m = 180° - 131°
=> m = 49°
which graph represents the absolute value of -3
[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]
Slope: 0
y - intercept: (0, -3)
Kindly click the attached photo ^^
[tex]\color{pink}{==========================}[/tex]
#CarryOnLearning
[tex]\sf\color{pink}{༄⁂✰Bae \: Yoonah}[/tex]
find the maximum number of children to whom 30 sweaters and 45 trousers can be equally divided. also how many sweaters and trousers will each get?
Answer:
five kids .each 6 sweaters and 9 trousers
Step-by-step explanation:
fThank you guys fir the help
9514 1404 393
Answer:
A
Step-by-step explanation:
The function f(x) is required in the numerator, eliminating choices C and D.
The restriction is that function g cannot be zero, so we cannot have ...
3x +2 = 0
3x = -2
x = -2/3 . . . . . eliminates choice B; confirms choice A
Onetta goes to the food court to get a salad and sandwich for lunch. The Daily Deli has 8 varieties of sandwiches and 3 salads. Better Bites has 2 varieties of sandwiches and 7 salads. The Lunch Spot has 5 varieties of sandwiches and 8 salads. Determine the number of ways Onetta can select a sandwich and a salad.
Answer:
Onetta can salect a sandwich and a salad in 78 different ways.
Step-by-step explanation:
Since Onetta goes to the food court to get a salad and sandwich for lunch, and the Daily Deli has 8 varieties of sandwiches and 3 salads, while Better Bites has 2 varieties of sandwiches and 7 salads, and the Lunch Spot has 5 varieties of sandwiches and 8 salads, to determine the number of ways Onetta can select a sandwich and a salad, the following calculation must be performed:
8 x 3 + 2 x 7 + 5 x 8 = X
24 + 14 + 40 = X
78 = X
Therefore, Onetta can salect a sandwich and a salad in 78 different ways.
The function f is defined by f(x) = 4x + 1. What is the value of f(3)?
O 13
O 17
O 65
O 82
Answer:
13
Step-by-step explanation:
f(x) = 4x + 1
Let x= 3
f(3) = 4*3+1
= 12+1
= 13
The population p(t) of a culture of the bacterium Pseudomonas aeruginosa is given by ,p(t)= -1683t^2+75,000t+ 10,000 where is the time in hours since the culture was started. Determine the time the population was at its maximum. Round to the nearest hour.
Answer:
22hrs
Step-by-step explanation:
hope it is well understood?
Find the missing side of the triangle
Answer: x = 24
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]x^{2}+18^{2}=30^{2} \\x^{2} = 30^{2}-18^{2}\\x=\sqrt{30^{2}-18^{2}}=\sqrt{900-324}=\sqrt{576} =24[/tex]
Please answer I’m struggling
Step-by-step explanation:
Question 7.[tex] \frac{{(3 + u)}^{2} }{8} [/tex]
[When u = 5]
[tex] = \frac{{(3 + 5)}^{2} }{8} [/tex]
[tex] = \frac{ {(8)}^{2} }{8} [/tex]
[tex] = \frac{8 \times 8}{8} [/tex]
= 8 (Ans)
Question 8.-2(a - 7)
(Using Distributive property)
= - 2 × a -2 × (-7)
= -2a + 14 (Ans)
Answer:
7. 8
8. -2a+14
Step-by-step explanation:
(Excuse this form of the expression)
7.
u = 5
(3 + u)²
---------
8
Plug in
(3 + 5)²
---------
8
(8)²
---------
8
64
---- = 8
8
8.
-2(a - 7)
Multiply -2 with each number in the parenthesis
-2a + 14
In a nationwide survey conducted by a reputable research center, a sample of adults in a certain country were asked whether they favor a plan to break up a small collection of megabanks, which controlled about % of the banking industry; % of those sampled responded in the affirmative. According to the report, "the margin of sampling error is / percentage points with a % level of confidence." Find and interpret a % confidence interval for the percentage of all adults in the country who favor a plan to break up the megabanks.
Answer:
(42% ; 48%)
We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%
Step-by-step explanation:
The confidence interval is used to estimate the range of values for which the population value may lie at a certain level of confidence.
Given that :
Phat = 45%
Margin of error = ±3%
The confidence interval is defined as :
C. I = Phat ± margin of error
C. I = 45% ± 3%
Lower boundary :
45% - 3% = 42%
Upper boundary :
45% + 3% = 48%
C.I = (42% ; 48%)
We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%
What is the sum (6x^3 – 5x^2 + 3x – 5) + (8x^4 + 3x^3 + 5x^2 + x + 4)?
A.9x^6 + 8x^4 + 4x^2 – 1
B.8x^4 + 9x^3 + 4x – 1
C.8x^4 + 3x^3 – 10x^2 + 4x – 1
D.8x^4 – 3x^3 + 10x^2 – 2x + 9
Answer:
8x^4+9x^3+4x-1
Step-by-step explanation:
(6x^3 – 5x^2 + 3x – 5) + (8x^4 + 3x^3 + 5x^2 + x + 4)
Group like terms
8x^4+6x^3+3x^3-5x^2+5x^2+3x+x-5+4
8x^4+9x^3+4x-1
Answer:
[tex]\left(6x^3-5x^2+3x-5\right)+\left(8x^4+3x^3+5x^2+x+4\right)[/tex]
Combine like terms
[tex]=8x^4+6x^3+3x^3-5x^2+5x^2+3x+x-5+4[/tex]
Add: -5x²+5x²=0
[tex]=8x^4+6x^3+3x^3+3x+x-5+4[/tex]
Now add 6x³+3x³=9x³
[tex]=8x^4+9x^3+3x+x-5+4[/tex]
Add like terms 3x +x=4x
[tex]=8x^4+9x^3+4x-5+4[/tex]
Now add -5+4=-1
[tex]=8x^4+9x^3+4x-1[/tex]
OAmalOHopeO
A survey of several 8 to 9 year olds recorded the following amounts spent on a trip to the mall: $31.11,$25.01,$18.53,$14.37,$24.16,$21.91 Construct the 80% confidence interval for the average amount spent by 8 to 9 year olds on a trip to the mall. Assume the population is approximately normal. Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to two decimal places.
Solution :
Amounts spent on a trip : $31.11, $25.01, $18.53, $14.37, $24.16, $21.91
Confidence interval = 80%
Average amount spent = 8 to 9 years old
One sample T confidence interval
μ : Mean of variance
80% of confidence interval results :
Using statistical software,
Variable : data
Sample mean : 22.515
Std. Err. = 2.3479945
DF = 5
L. limit : 19.049632
U. Limit : 25.980368
SD = 5.75
Critical value = 1.476
A car rental firm has 440 cars. Sixty-three of these cars have defective turn signals and 39 have defective tires. (Enter your probabilities as fractions.) (a) What is the probability that one of these cars selected at random does not have defective turn signals
Answer:
The probability is 0.857
Step-by-step explanation:
We know that:
There is a total of 440 cars
There are 63 cars with defective turn signals
There are 39 with defective tires.
Now we want to find the probability that a randomly selected car does not have defective turn signals.
If all the cars have the same probability of being selected, this probability will be equal to the quotient between the number of cars that do not have defective turn signals and the total number of cars.
We know that the total number of cars is 440
And 63 of these have defective turn signals, then the rest don't.
440 - 63 = 377 cars do not have defective turn signals.
Then the probability is:
P = 377/440 = 0.857
