Write the following linear equation in function notation. y = 13x - 4
Answer:
f(x) = 13x - 4
Step-by-step explanation:
Function notation is simply expressing an equation as a function. That is given a variable \(x\) what is the output of the expression when using a value for it?
Essentially we just do \(y = f (x)\) therefore for this question we have: \(f(x)=13x-4\)
Answer:
f(x) = 13x - 4
Step-by-step explanation:
I had this on my test and got 100%
A laboratory technician needs to make a 99-liter batch of a 20% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration? The laboratory technician can combine Lof the pure acid solution with L of the 10% acid solution to get the desired concentration.
Answer:
a laboratory technician needs to make a 90% liter batch of a 20% acid solution. How can the laboratory technician combine batch of an acid solution that is pure acid with another that that is 10% to get the desired concentration.
a laboratory technician needs to make a 90 liter batch of a 20% acid solution.
How can the laboratory technician combine batch of an acid solution that is pure acid with another that that is 10% to get the desired concentration
:
Let x = amt of pure acid
the result is to be 90 liters, therefore
(90-x) = amt of 10% solution required
:
.10(90-x) + x = .20(90)
9 - .1x + x = 18
.9x = 18 - 9
.9x = 9
x = 9/.9
x = 10 liters of pure acid required
then
90 - 10 = 80 liters of the 10% solution required
:
:
See if that checks out
.10(80) + 10 = .20(90)
8 + 10 = 18; confirms our answer
Determine whether the underlined number is a statistic or a parameter A sample of seniors is selected and it is found that 25% own a computer Choose the correct statement below 
A. Parameter because the value is a numerical measurement describing a characteristic of a sample 
B. Statistic because the value is a numerical measurement describing a characteristic of a population 
C. Statistic because the value is a numerical measurement describing a characteristic of a sample 
D. Parameter because the value is a numerical measurement describing a characteristic of a population urses 
Answer:
C. Statistic because the value is a numerical measurement describing a characteristic of a sample
Angle TLN equals (3X -18)°, angle MZQ equals (5X +14)° and
                                                For the given figure, x = 23° and y = 129°
Parallel lines:
Parallel lines are lines that always stay the same distance apart and never meet.
Transversal line :
A transversal is a line that crosses two or more other lines.
given,
∠TLN = (3x - 18)°
∠MZQ = (5x + 14)°
∠NLM = y°
Now,
∠MZP + ∠MZQ = 180° (Linear Pair)
∠MZP = 180° - ∠MZQ ...........(I)
again,
∠NLM + ∠TLN =180° ...........(II) (Linear Pair)
As, ∠TLN = ∠MZP (Corresponding Angle)
(3x - 18)° = 180° - ∠MZQ
(3x - 18)° = 180° - (5x + 14)°
3x + 5x = 180° - 14° + 18°
8x = 184°
x = 184 / 8
x = 23°
From (II),
∠NLM + ∠TLN =180°
y° + 3x - 18° = 180°
y = 180 - 3x + 18
= 180 - 3* 23 + 18
= 180 - 69 +18
y = 129°
For the given figure,
x = 23° and y = 129°
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What does > mean. Greater than or less than.
Answer:
less than
Step-by-step explanation:
3x+12y=-8 show ur work
Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.
                                                            The Tiny State College Student Advisory Board has rules to the effect that the officers of the board (i.e., Chairperson, Vice-Chairperson, and Treasurer) must always include at least one in-state student and at least one senior. The 150 Student Council consists of 6 members: 1 in-state senior, two in-state stude who are not seniors, 1 out-of-state senior, and two out-of-state students wn not seniors. In how many ways can the officers of the Student Advisory Bog selected from these 6 Student Council members if they must obey the rules that if individual members switch offices, this produces a different Board.
Answer:
P (6, 3) – p (6, 4) – p (6, 2) = 270
Step-by-step explanation:
The 150 student council consist of 6 members.
Included at least one in-state student and at least one senior.
There are total 6 members: in which,
1 in- state senior,
2 in state non-senior,
1 out of state senior and
2 out of state non-senior.
Total member are 6 and we selected 3. So p (6, 3)
The way team will have only non-senior = p (6, 4)
The way team will have out of state = p (6, 2)
Subtracting the total we get:
P (6, 3) – p (6, 4) – p (6, 2) = 6x5x4 – 6 x 5 x 4 x3 – 6x 5
= 30 x 4 – 30 x 12 – 30
= 120 – 360 – 30
=- 270
Question 7 of 10
Why would bankruptcy cause someone to lose their car?
O A. It relieves a person of their debts.
B. It increases the cost of insurance.
O C. It causes a loss of assets.
O D. It harms a person's credit report.
SUBMIT
                                                A bankruptcy case can cause a person to lose their car because C. It causes a loss of assets.
What does Bankruptcy do?When a person declares that they are bankrupt, it means that they don't have enough resources to pay off their debts.
As a result, the government gets involved to help them pay it off. This usually involves most of the person's assets being sold off in order to raise some funds to pay off some of the debt. Cars will be included.
In conclusion, option C is correct.
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Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
What is the value of x? enter you answer in the box bellow.
                                                I need to know how to describe the relationship and constant rate
                                                To find the constant rate of the relationship, we need to use the formula to find the slope, which is the following:
\(m=\frac{y2-y1}{x2-x1}\)Replace for two of the given pair of corresponding data, for example:
\(m=\frac{10.5-7}{3-2}=\frac{3.5}{1}=3.5\)The constant rate of the relationship is 3.5. It seems like the relationship is a proportional relationship, we can describe it as follows:
\(y=kx\)Where k is the constant rate or constant of proportionality, that in this case is 3.5. The relationship can be described as:
\(y=3.5x\)It means that the cost for one hamburger is $3.5. Everytime you add an hamburger, the total cost will have an increase of $3.5.
Determine if the following equation is linear. If the equation is linear, convert it to standard form: ax+by=c
.
−10x+11(y+x)=10
Answer:
Step-by-step explanation:
-10x+11y+11x=10 1x+11y=10
Si se reduce en 5 unidades de mil el número 23 657, ¿cuál número se obtiene? a) 23 607 b) 18 657 c) 23 157 d) 23 652
Answer:
a 23 607
Step-by-step explanation:
Write the nth rule for each geometric sequence.4) -3, 1, -1/3, 1/9...
In a geometric sequence each term is found by multiplying the previous term by a constant.
To find the nth term in a geometric sequence we use:
\(a_n=ar^{n-1}\)where a is the first term and r is the common ratio.
To find the common ratio we can divide the second term by the first:
\(\frac{1}{-3}=-\frac{1}{3}\)and the third one by the second:
\(\frac{-\frac{1}{3}}{1}=-\frac{1}{3}\)we notice that this in fact is the common ratio. Now we plug it in the formula above, therefore the geometric sequence is:
\(a_n=-3(-\frac{1}{3})^{n-1}\)To plan for retirement, Susan deposits $96 each month in an annuity that pays 7% interest, compounded monthly. Payments will be made at the end of each month. Find the total value of the annuity in 27 years.
Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the
list of financial formulas.
                                                Answer:
Step-by-step explanation:
\(p(\frac{(1+i)^n-1}{i})\\i=.07/12=.0058333\\\\n=27*12\\96(\frac{(1+.0058333)^{12*27}-1}{.0058333})= 91882.2085266=91882.21\)
Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed?
Find the present value of an annuity which pays ` 200 at the end of each 3 months for 10 years assuming 
money to be worth 5% converted quarterly?
(a) ` 3473.86
(b) ` 3108.60
(c) ` 6265.38
(d) None of thes
The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.
To find the present value of an annuity, we can use the formula:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.
Plugging in these values into the formula, we get:
PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05
Simplifying the equation, we find:
PV ≈ 200 * (1 - 0.12198) / 0.05
PV ≈ 200 * 0.87802 / 0.05
PV ≈ 35160.4 / 0.05
PV ≈ 7032.08
Therefore, the present value of the annuity is approximately `7032.08.
None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.
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no links Which of the following grids correctly graphs the points
                                                
                                                
                                                
                                                Answer:
Question not written properly. Please write the full question with every detail possible not some shorten question
Step-by-step explanation:
module five problem set this document is proprietary to southern new hampshire university. it and the problems within may not be posted on any non-snhu website.
Module Five in a course is generally focused on providing the student with the knowledge and skills needed to apply the concepts learned in the course. For this problem set, it is important to read the instructions thoroughly and understand the concepts discussed in the module material.
Additionally, be sure to support your answer with evidence from the module material and external sources, if applicable. It is important to keep in mind that the goal of the problem set is to demonstrate your understanding of the module material and how to apply it to real-world situations.
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The annual incomes of the five vice presidents of TMV Industries are $125,000; $128,000; $122,000; $133,000; and $140,000. Consider this a population. a. What is the range? b. What is the arithmetic mean income? c. What is the population variance and the standard deviation? (Round standard deviation to 1 decimal place.)
Step-by-step explanation:
A. Range = highest quantity – lowest quantity
140000 – 122000
18000
B. 125000 + 128000+122000+133000+140000/5
Ans: 129600
which graph shows all the values that satisfy 2/9x
Answer:
This function is an exponential diagram that is not defined in \(x=0\).
                                                            Answer:
Hello There!
~~~~~~~~~~~~~~~~~~~~`
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
Step-by-step explanation: Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.
Hope this helped you. Brainliest would be nice!
☆_____________❤︎_____________☆
Restaurant A's chicken salad contains the same number of grams of fat as the chicken salad of restaurant C. Restaurant B's chicken salad contains 8 more grams of fat than restaurant A's chicken salad. If the total amount of fat in all three salads is 77 grams, find the number of grams of fat in each salad. 
Restaurant A's chicken salad has grams of fat.
Restaurant B's chicken salad has grams of fat.
Restaurant C's chicken salad has grams of fat.
Answer:
Restaurant A and C: 23 grams of fat
Restaurant B: 31 grams of fat
Answer:
Restaurant A's chicken salad has 7.7 grams of fat.
Restaurant B's chicken salad has 61.6 grams of fat.
Restaurant C's chicken salad has 7.7 grams of fat.
Step-by-step explanation:
Restaurant A = C
Restaurant B = 8 × Restaurant A
Total Grams of Salad = 77
Let Reataurat A and C be x
and Reataurant B be 8x
so
A + B + C = 77
x + 8x + x = 77
2x + 8x = 77
10x = 77
x = 77 ÷ 10
x = 7.7
Restaurant A's chicken salad has 7.7 grams of fat.
Restaurant B's chicken salad has 61.6 grams of fat.
Restaurant C's chicken salad has 7.7 grams of fat.
If u want to crass check so
7.7 + 61.6 + 7.7 =
69.3 + 7.7 =
= 77
which of the following best describes the graph shown below
                                                Answer:
A
Step-by-step explanation:
In the graph shown, no two y values share an x value. If you were to pass a vertical line through it at any point, it would only intersect it once, which makes it a function.
Many x values in the graph share y values; if you were to pass a horizontal line through it, it would intersect it more than once at certain points, which makes it NOT one-to-one.
This means that the answer is A: This is the graph of a function, but it's not one-to-one.
Question 2: Benjamin rolls an ordinary six-sided dice and flips a coin. List all the possible outcomes.
Answer:
Step-by-step explanation:
                                                            What are the factor's of 54.
Answer:
1, 2, 3, 6, 9, 18, 27 and 54
Step-by-step explanation:
A factor is a number that divides another number without leaving a remainder
Factors of 54:
1 × 54 = 54
2 × 27 = 54
3 × 18 = 54
6 × 9 = 54
9 × 6 = 54
18 × 3 = 54
27 × 2 = 54
54 × 1 = 54
The factors are: 1, 2, 3, 6, 9, 18, 27 and 54
The times a musician spends performing a rock song and a country song are approximately Normally distributed. The rock song has a mean time of 133 seconds with a standard deviation of 3.5 seconds, and the country song has a mean time of 126 seconds with a standard deviation of 3.3 seconds. If the musician randomly selects 4 times the rock song is played and 3 times the country song is played, what is the probability that the mean time for the rock song is less than the mean time for the country song?
0.0034
0.0365
0.9964
0.9966
Answer:
A. 0.0034
Step-by-step explanation:
Mixture Temperature (°C)
Mixture 1
3
Mixture 2
-4
Mixture 3
-1
Mixture 4
2.
In science class, Emma is measuring the temperature of different chemical mixtures. The temperatures of four
mixtures are shown in the table. Which mixture's temperature is closest to zero?
Answer:
c
Step-by-step explanation:
sheeesh 3 easy
round 11,406 to the nearest:tens ,ten thousand , hundred
Answer:
Tens:11,410
Ten thousand :10,000
Hundred : 11,400
Helpppp please due in 29 minutes!!!!!
                                                Answer:
d is the answer ask me more question
Jaxon is flying a kite, holding his hands a distance of 3.25 feet above the ground and letting all the kite’s strings play out. He measures the angle of elevation from his hand to the kite to be 24∘. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer: 46.0 ft
Step-by-step explanation:
\(\sin 24^{\circ}=\frac{x}{105}\\\\x=105\sin 24^{\circ}\)
So, the distance above the ground is \(105\sin 24^{\circ}+3.25 \approx \boxed{46.0 \text{ ft}}\)