Answers
Answer:
YesStep-by-step explanation:
Both equations of this system are of degree one.
They are both linear as the graph of both is a line.
Answer:
yes
Step-by-step explanation:
The highest power of variable is 1 . So it is a linear equation of two variables .
Related Questions
Given that 27^1/3= 9^14 + 3^x+1
find the exact value of x
Answers
If the given equation is
[tex]27^{\frac13} = 9^{14} + 3^{x + 1}[/tex]
first simplify the left side using the fact that 27 = 3³:
[tex]27^{\frac13} = (3^3)^{\frac13} = 3^{\frac33} = 3^1 = 3[/tex]
and on the right side, 9 = 3²:
[tex]9^{14} = (3^2)^{14} = 3^{2\times14} = 3^{28}[/tex]
So we have
[tex]3 = 3^{28} + 3^{x + 1}[/tex]
Next,
[tex]3^{x+1} = 3^x \times 3^1 = 3 \times 3^x[/tex]
so that
[tex]3 = 3^{28} + 3 \cdot 3^x[/tex]
and dividing both side by 3 gives
[tex]1 = 3^{27} + 3^x[/tex]
Isolate 3ˣ :
[tex]3^x = 1 - 3^{27}[/tex]
Solve for x by taking the base-3 logarithm of both sides:
[tex]\log_3(3^x) = \log_3(1-3^{27})[/tex]
[tex]x \log_3(3) = \log_3(1-3^{27})[/tex]
[tex]\boxed{x = \log_3(1-3^{27})}[/tex]
3^4x-1=15
Need help with this log question
Answers
Answer:
x=16/81
Step-by-step explanation:
3^4x-1=15
81x-1=15
81x=15+1
81x+16
divide both sides by 81
x=16/81
a simple random sample of 60 items resulted in a sample mean of 80.
Answers
Answer:
(c) The effect of a larger sample size on the margin of error is that the margin of error will increase.
Step-by-step explanation:
Compute the following sum of a geometric sequence: S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1 (Round your answer to two decimal places.)
Answers
The sum of the given geometric sequence to 2 dp is 936.00
To get the sum of a geometric sequence, we will use the formula for calculating the sum to infinity of the sequence as shown:
[tex]S_\infty=\frac{1}{1-r}[/tex]
a is the first term
r is the common ratio
Given the sequence S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1
a = 0.936
r = 0.935/0.936 = 0.998
Substitute into the formula
[tex]S_\infty=\frac{0.936}{1-0.999}\\S_\infty=\frac{0.936}{0.001}\\S_\infty=936[/tex]
Hence the sum of the given geometric sequence to 2 dp is 936.00
Learn more here: https://brainly.com/question/24643676
Is this triangle not similar because it only has two proportional sides?
Answers
Answer:
The triangles are similar.
Step-by-step explanation:
They share a common angle (∠S) and the ratio of the two sides is the same, i.e. SP/SQ = SR/ST
-4√-32
answer it please ok thanks
Answers
Answer:
Step-by-step explanation:
4 √(-32) =
22.627417
solve pls brainliest
Answers
Answer:
1. -64
2.-27
Step-by-step explanation:
Hopes this helps
:)
12
rectia
14. Ne
10.) Lars has a current annual salary of $38,650.
If he gets a raise of $3,280, what percent is
the raise of his current annual salary? Round
to the nearest whole percent.
(1) 6%
(2) 7%
2 %
8%
(4) 9%
10%
Answers
Answer:
3,280/38650 x 100% = 8%
A store sells 6 apples for $2.82. At that rate, how much would 1 apple cost?
Answers
Answer:
$0.46
Step-by-step explanation:
6 apples = $2.82
1 apple = 2.82 / 6
= $0.46
What value is equivalent to 5 + [5 (4 + 2)]?
35
45
60
0110
Help pls thx
Answers
Answer:
45 5+[5(4+2)]?
Step-by-step explanation:
i hope is helped:)
Need helpPlzzzzzzzzzzzzzzzz
Answers
Answer:
2
Step-by-step explanation:
Find the slope of the line
A -3
B 3
C -2
D 2
Answers
So it would be -2
What is the equation for the line in slope-intercept form?
Answers
Hgfxdffggggujjcfccchhjbvg
H e l p this is confusing
Answers
Answer:
The answer would be 780 miles
Step-by-step explanation:
The reason that that's the answer because since it says that they will average about 65 miles per hour on a 12 hour trip, you have to multiply 65 time 12, which is 780 miles, so
65 miles x 12 hours = 780 miles :)
Hope this helped!
135 rational or irrational
Answers
Answer:
Rational
Step-by-step explanation:
I hope this helps!
For a certain company, the cost function for producing x items is C(x)=30x+150 and the revenue function for selling x items is R(x)=−0.5(x−90)2+4,050. The maximum capacity of the company is 130 items.
The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
Answers to some of the questions are given below so that you can check your work.
Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?
The company can choose to produce either 60 or 70 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 60 items =
Number
Profit when producing 70 items =
Number
Can you explain, from our model, why the company makes less profit when producing 10 more units?
Answers
Profit, revenue and cost are related, and can be calculated from one another.
The profit function is [tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]The domain of the profit function is x > 0The profit when producing 60 items is 1650The profit when producing 70 items is 1600The cost function is given as:
[tex]\mathbf{C(x) =30x + 150}[/tex]
The revenue function is given as:
[tex]\mathbf{R(x) =-0.5(x -90)^2 + 4050}[/tex]
(a) Calculate the profit function
This is calculated using:
[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]
So, we have:
[tex]\mathbf{P(x) =-0.5(x -90)^2 + 4050 - 30x - 150}[/tex]
Evaluate like terms
[tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]
(b) The domain of the profit function
When profit is 0 or less, then it becomes no profit.
Hence, the domain of the profit function is x > 0
(c) The profit for 60 and 70 items
Substitute 60 and 70 for x in P(x)
[tex]\mathbf{P(60) =-0.5(60 -90)^2 - 30 \times 60 + 3900}[/tex]
[tex]\mathbf{P(60) =1650}[/tex]
The profit when producing 60 items is 1650
[tex]\mathbf{P(70) =-0.5(70 -90)^2 - 30 \times 70 + 3900}[/tex]
[tex]\mathbf{P(70) = 1500}[/tex]
The profit when producing 70 items is 1600
(d) Why producing 10 more units less profit
When a function reaches the optimal value, the value of the function begins to reduce.
This means that, producing 10 more units takes the profit function beyond its maximum point.
Read more about profit, cost and revenue at:
https://brainly.com/question/11384352
PLEASE IM GONNA DIE Paloma rides a scooter. She travels 10 ft. For every 1 second.
Hannah says that Paloma’s ratio of seconds traveled to feet traveled is 10:1. Is Hannah correct? Use a model to explain your thinking
Answers
Answer:
She is incorrect; Paloma's ratio of seconds travelled to feet travelled is 1:10.
Step-by-step explanation:
Her ratio is 1:10 because the first number is the number of seconds, and the second number is the number of feet. So for every 1 second, she travels 10 feet, as indicated in the original problem.
Hope this helps.
Is (1,5) a solution to this system of equations?
y=
–
3x+7
y=3x+2
Answers
Answer:
no, there is no solution
Step-by-step explanation:
put it in desmos, but the slopes are the same, so they are parallel and never touch. So, no solution.
Find the volume of a square based pyramid with a base length of 8 m and a height of 14 m.
Answers
[tex]V = \frac{1}{3} \times base \: area \: \times height \\ [/tex]
[tex]V = \frac{1}{3} \times {8}^{2} \times 14 \\ [/tex]
[tex]V = \frac{1}{3} \times 64 \times 14 \\ [/tex]
[tex]V = \frac{896}{3} \: \: \: {m}^{3} \\ [/tex]
Which expressions are equivalent to (1/3x+2x−5/3x)−(−1/3x+5) ? Select all correct expressions. −4x+5+3x 5−x 4x−5−3x x−5
Answers
Answer:
its x-5 and 4x-5-3x
Step-by-step explanation:
I took the test
explain plz branist is u get it right
Answers
well the answer is 107.8823529411764705 (repeating decimal)
A school wants to investigate the amount of exercise students do.
There are 1200 students at the school.
a Suggest a sensible number of students to be sampled.
Answers
Answer:
100-200 Step-by-step explanation: yes 600 is half the students most of them are going to be in class
PLEASE HELP! I"LL MARK BRAINLIEST!!!!
△ABC is translated left 3 units to form the image ∆A′B′C′.
What are the coordinates of the vertices of ∆A′B′C′ ?
Enter your answer by filling in the boxes.
A′ =
B′ =
C′ =
Answers
Answer:
a is -1, -2
b is -1, 2
c is 2, 2
Step-by-step explanation:
i hope i helped
(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second
Answers
Answer:
Step-by-step explanation:
20=total marbles
7/20 × 6/20= 21/400 or 5.25%
red white
A boy dressed in a robot costume weighs a total of 50 7/8 lb. If the costume itself weighs 3 1/2 lb, how much does the boy weigh?
Answers
The weight of the boy in the robot costume is 351/8 lb or 43 7/8 lb.
To find the weight of the boy, we need to subtract the weight of the costume from the total weight of the boy in the costume.
Total weight of boy and costume = 50 7/8 lb
Weight of costume = 3 1/2 lb
To find the weight of the boy, we can subtract the weight of the costume from the total weight:
Weight of boy = Total weight - Weight of costume
Convert both the total weight and the weight of the costume to improper fractions:
Total weight = 50 + 7/8 = 400/8 + 7/8 = 407/8 lb
Weight of costume = 3 + 1/2 = 6/2 + 1/2 = 7/2 lb
Now, subtract:
Weight of boy = (407/8) lb - (7/2) lb
To perform subtraction, we need to have a common denominator, which is 8 in this case:
Weight of boy = (407/8) lb - (56/8) lb
Now, subtract the fractions:
Weight of boy = (407 - 56)/8 lb
Weight of boy = 351/8 lb
To learn more about fraction click on,
https://brainly.com/question/15898930
#SPJ2
A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.
Let T=T=T, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other.
Find the probability that the total amount of product is less than 575\,\text{g}575g575, start text, g, end text.
You may round your answer to two decimal places.
P(T<575)\approx
Answers
Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.In this problem, the product is composed by flakes and raisins, and we have that:
[tex]\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7[/tex]
Hence, the distribution for the total amount of product has mean and standard deviation given by:
[tex]\mu = \mu_F + \mu_R = 370 + 170 = 540[/tex]
[tex]\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25[/tex]
The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{575 - 540}{25}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192.
0.9192 = 91.92% probability that the total amount of product is less than 575 g.
A similar problem is given at https://brainly.com/question/22934264
What is the minimum of the sinusoidal function?
Enter your answer in the box.
Answers
Answer:
The minimum is 1
Step-by-step explanation:
1 is the lowest point of the function so that's your answer (:
The minimum of the sinusoidal function is 1.
FunctionThe function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
TrigonometryTrigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Right angle triangleIt is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Given
y = 2sin(x + ∅) + 3 is a function
To findThe minimum of the sinusoidal function.
How to find the minimum of the sinusoidal function?y = 2sin(x + ∅) + 3 is a function is given
For the minimum value of sin(x + ∅) = -1, then
y = 2(-1) + 3
y = -2 + 3
y = 1
Thus the minimum of the sinusoidal function is 1.
More about the function link is given below.
https://brainly.com/question/5245372
Can someone please help me
Answers
Step-by-step explanation:
it will be around $90.86
Answer:
No. of adults who answered 'yes'
= 20% × 1073
= 214.6
Total amount of money paid
= (18%×$77)+$77
= $13.86+$77
= $90.86
Pre college need help
Answers
Answer:
f(-8) = 169
Step-by-step explanation:
reasoning: it only touches the curve/line once. that’s a trick my old teachers taught me.
28) f(-8) =169
I hoped I helped. #28 is confusing so I sincerely apologize if I’m incorrect.
True or False.
A 20° angle and a 70° angle can be
composed into a 90° angle.