The complete table is given and rate of change is 1 per 28 pair of jeans.
What is rate of change?How quickly something evolves over time is referred to as its rate of change (ROC).
Given, of the 84 pair of jeans only 3 are defected.
And rate of change is constant.
And 1 defected pair of jeans is 84 /3 = 28.
That means,
total number of jeans = n x 28
Where n is the number of defected pair of jeans.
So, for n = 3,6,8,12,15
Then, number of jeans =84, 168, 224, 336, 420.
The table is given in the image.
The basic formula for the rate of change is:
Rate of change = (Change in quantity 1) / (Change in quantity 2)
In every 28 pair of jeans there is one defected jeans.
Therefore, the complete table is given and rate of change is 1 per 28 pair of jeans.
To learn more about the rate of change;
https://brainly.com/question/29518179
#SPJ1
How many significant figures does the number 2.0000 have?
Answer:
The Correct answer is 1
2
Find the volume of the rectangular prism. Express your answer as a simplified mixed number.
Answer:
414 9/16 m³
\(414\frac{9}{16}m^{3}\)
Step-by-step explanation:
The volume of a Rectangular prism is calculated as Length × Width × Height
From the attached diagram,we can see that
The length = 8 3/8 m
The width = 6 m
The height =8 1/4 m
Converting the mixed fraction to improper fraction in other to simplify it better
The length = 67/8 m
The height = 33/4 m
The volume of the rectangular prism =
67/8 m × 6m × 33/4m
= (13266/32)m³
= 6633/16 m³
= 414 9/16 m³
= \(414\frac{9}{16}m^{3}\)
can someone please help me with this?
Answer:
3=3x+3
4=2x+8
Step-by-step explanation:
or According to his running log, Zachary averaged 4 miles per week last month and 25% less this month. How much did he average this month?
Answer:3
Step-by-step explanation:
An object is moving at a speed of 2 centimeters ever 7 seconds. express this speed in meters per week.
The speed of the object is 12121 m per week.
What does it mean to do speed?
“Speed” is a street name for various stimulant drugs that teens, young adults and others use to feel more alert and focused, and in some cases, to feel high. Some people also use various forms of speed to reduce their appetite. Types of speed include: Amphetamines (used to treat ADHD, narcolepsy, and depression)The object is moving at a speed of 2 centimeters every 7 seconds.
We need to find the speed in m per week.
2 cm = 0.02 m
1 week = 604800 s
7 s = \(1.65 * 10^{-6} week\)
Speed = distance/time
So,
\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)
\(v = 12121.21 m/ week\)
or v = 12121 m/ week
So, the speed of the object is 12121 m per week.
Learn more about speed
brainly.com/question/7359669
#SPJ4
Determine the MAD of the set of the data without the outlier. 88, 85, 90, 35, 75, 99, 100, 77, 76, 92, 82
Answer:
85
Step-by-step explanation:
What is the value of n?
yo help me i sick at ixl
graph y= -3/2x-3. could someone please help me. i dont know how to do this :((
what transformation will the following equation have from its parent ?
Both graphs attached
Evaluate the logarithmic function for the given value.
f(x) = log5 x for f(125)
f(125)=(
HELP!
Answer:
\(f(125) = log_{5}(125 ) \\ = log_{5}( {5}^{3} ) = 3 log_{5}(5 ) = 3(1) = 3\)
what should ne The power of 5 so that ies value becomes 1÷25
Answer:
\(5^{-2}\)
Step-by-step explanation:
Primd factorize 25
25 = 5*5 = 5²
\(\sf \dfrac{1}{25}=\dfrac{1}{5^{2}} \\\\= 5^{-2}\)
HINT:
\(\dfrac{1}{a^{m}}=a^{-m}\)
Given: PP(xx) = x^3−2x^2 + 9x−18
a) How many roots does P(x) have?
b) What are the possible rational roots?
c) Find all the roots.
a) Number of roots in the given polynomial is three.
b) Possible rational roots of the given polynomial are {±1, ±2, ±3, ±6, ±9, ±18}
c) The roots of the given polynomial are {2, 3i, -3i}.
Given polynomial is `P(x) = x³ - 2x² + 9x - 18`.a) Number of roots in the given polynomial is three. b) Possible rational roots of the given polynomial are expressed in the form of `p/q`, where p is a factor of the constant term `-18` and q is a factor of the leading coefficient `1`.Constant term of the given polynomial is `-18`. The factors of `-18` are 1, 2, 3, 6, 9, and 18. Leading coefficient of the given polynomial is `1`. The factors of `1` are ±1.∴ Possible rational roots of the given polynomial are {±1, ±2, ±3, ±6, ±9, ±18}.c) Let us check whether the possible rational roots satisfy the given polynomial. To check the roots, we can use synthetic division, which is an efficient method to check the roots of a polynomial. When `x = -1` is substituted in the given polynomial, we get P(-1) = (-1)³ - 2(-1)² + 9(-1) - 18= -1 + 2 - 9 - 18= -26, which is not equal to `0`.When `x = 1` is substituted in the given polynomial, we get P (1) = 1³ - 2(1)² + 9(1) - 18= 1 - 2 + 9 - 18=-10, which is not equal to `0`.
When `x = -2` is substituted in the given polynomial, we get P(-2) = (-2)³ - 2(-2)² + 9(-2) - 18= -8 + 8 - 18 - 18= -36, which is not equal to `0`.When `x = 2` is substituted in the given polynomial, we get P(2) = 2³ - 2(2)² + 9(2) - 18= 8 - 8 + 18 - 18= 0, which is equal to `0`.∴ `x = 2` is a root of the given polynomial. By using synthetic division method, we can find the remaining two roots. x - 2 | 1 - 2 9 - 18| | 2 0 18| | 1 0 9 0|Therefore, the factors of the given polynomial are `(x - 2)(x² + 9)`.The quadratic factor, `x² + 9`, does not have any real roots, as the discriminant is negative.∴ The roots of the given polynomial are {2, 3i, -3i}.
Learn more about Roots
brainly.com/question/16932611
#SPJ11
Remy wanted to measure the angle of the slide in the playground. He used a piece of folded paper that was 10°. He measured that 3 of the folded paper angles would fit in the angle made by the slide. What was the angle of the slide?
Answer:
30°
Step-by-step explanation:
Since the folded paper can fit into the slide three times, we simply have to multiply 10° by 3:
10° * 3 = 30°
The angle of the slide is 30°
5. a) Verify that the altitude from vertex J
bisects side KL in the triangle with
vertices J(-5, 4), K(1, 8), and L(−1, −2).
b) Classify AJKL. Explain your reasoning.
Answer:
a) Yes, the altitude from vertex J bisects side KL in the triangle with vertices J(-5, 4), K(1, 8), and L(−1, −2).
b) AJKL is an isosceles triangle. This is because side KL has the same length, which is 6 units.
Step-by-step explanation:
An isosceles triangle has two sides of equal length and two equal angles opposite to those sides. The angles between the two equal sides are called the base angles of the triangle. In the case of AJKL, the two equal sides are KL and JK, which have a length of 6 units. The two equal angles opposite to these sides are angle AJK and angle ALK.
Convert 49° Celsius to degree Fahrenheit using
F= 9/5C + 32
unit 4 homework 6 congruent triangles proofs
#4 and 6
1) The proof that ΔFEH ≅ΔFGH is given as follows:
ΔFH bisects ∠EFG (Given)
∠FEH ≅ ∠ FGH.
FH = HF (Given)
∠EFH ≅ ∠FHG (Angle Bisector Theorem)
Thus, ΔFEH ≅ΔFGH (Angle - Side - Angle Theorem)
2) The proof that ΔPQR ≅ ΔTSR is:
∠RPQ ≅ ∠RTS - Given
R is the midpoint of QS - Given the Definition of Midpoint
QR ≅ RS - Definition of Midpoint
∠PRQ ≅ ∠SRT Vertical Angles
Thus: ΔPQR ≅ ΔTSR - Angle - Angle - Side Theorem.
3) the proof that ΔABC ≅ Δ DCB is given as follows:
ΔABC and ΔDCB are Right Angled Triangles
AB ≅ DC - Given
BC ≅CB - Reflective Properties; thus
ΔABC ≅ ΔDCB - Hypothenus Leg Theorem.
What is the Hypotenuse Leg Theorem?
According to the hypotenuse-leg (HL) theorem, if the hypotenuse and a leg of a right triangle are both congruent with the corresponding hypotenuse and leg of another right triangle, the triangles are congruent. According to the HL theorem, these triangles are congruent.
There is one exception to this rule: when the angles are straight angles. Using words: The triangles are congruent if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle.
Learn more about the Hypothenus Leg Theorem:
https://brainly.com/question/16042583
#SPJ1
last question i will give brainliest
A random sample of 121 checking accounts at a bank showed an average daily balance of $265. The standard deviation of the population is known to be $77. (a) Is it necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances? Explain O No, the mean is larger than the standard deviation so we do not need to know anything about the shape of the distribution O Yes, the sample is large and the standard deviation of the population is known so we also need to know that the shape of the distribution is at least approximately beil shaped O No, the sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution. O No, the standard deviation is larger than the mean so we do not need to know anything about the shape of the distribution. Yes, the mean is larger than the standard deviation so we also need to know that the shape of the distribution is at least approximately bell shaped (b) Find the standard error of the mean (in dollars). (c) Give a point estimate of the population mean (in dollars). (d) Construct an 80% confidence interval for the population mean (in dollars). (Round your answers to the nearest cent.) $ to $. (e) Construct a 95% confidence interval for the population mean (in dollars), (Round your answers to the nearest cent) $ to $
(a) No, sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution. Therefore, the correct option is C.
(b) The standard error of the mean is $7.
(c) The point estimate of the population mean is $265.
(d) The 80% confidence interval for the population mean is $254.62 to $275.38.
(e) The 95% confidence interval for the population mean is $249.94 to $280.06.
a) The correct answer to whether it is necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances is: No, the sample is large and the standard deviation of the population is known, so we do not need to know anything about the shape of the distribution. With a large sample size, the Central Limit Theorem allows us to assume that the sampling distribution of the mean will be approximately normal. Hence, the correct answer is option C.
(b) The formula for standard error of the mean is:
SE = σ/√n
where σ is the population standard deviation, n is the sample size, and √ is the square root. Substituting the given values, we get:
SE = 77/√121
SE = 7
(c) The point estimate of the population mean is simply the sample mean, which is given as $265.
(d) To construct an 80% confidence interval, we need to use the formula:
CI = x ± zα/2 * (σ/√n)
where x is the sample mean, zα/2 is the z-score corresponding to the desired level of confidence (in this case, 80% or 0.80), σ is the population standard deviation, and n is the sample size. From the z-table, we find that the z-score for an 80% confidence interval is 1.28. Substituting the given values, we get:
CI = $265 ± 1.28 * (77/√121)
CI = $265 ± $10.38
CI = $254.62 to $275.38
(e) To construct a 95% confidence interval, we follow the same formula but use a z-score of 1.96 (from the z-table) for the desired level of confidence. Substituting the given values, we get:
CI = $265 ± 1.96 * (77/√121)
CI = $265 ± $15.06
CI = $249.94 to $280.06
Learn more about Standard error:
https://brainly.com/question/29037921
#SPJ11
If the domain of the function
y = 2x - 6 is 2
function's range?
Answer: The domain of a function refers to the set of all possible input values for which the function is defined. In the case of the function y = 2x - 6, the domain is all real numbers since the function is defined for any value of x.
The range of a function, on the other hand, refers to the set of all possible output values that the function can produce. To find the range of the function y = 2x - 6, we need to determine the lowest and highest values that the function can produce.
Since the coefficient of x in the function is positive (i.e. 2), the function is increasing as x increases. This means that as x increases, the value of y also increases without bound. Similarly, as x decreases, the value of y also decreases without bound.
Therefore, the range of the function y = 2x - 6 is all real numbers.
Step-by-step explanation:
5) If a || b and b | c, can you conclude that a || c? Explain
your reasoning and include a drawing to support your
answer.
Parallel lines are any two line pairs that do not overlap or come together at any point. Despite being on the same plane, these lines do not intersect. Lines or rays that share a plane but do not intersect are also considered to be parallel.
a || b and b || c then a || c.
ie. a || b || c
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.Parallel Lines' Slope Parallel lines have an equal slope. The slope of parallel lines is equal because they are all equally inclined with respect to the positive x-axis. If m1, m2 are the slopes of two parallel lines, then m1 = m2 is the result.Parallel lines are any two line pairs that do not overlap or come together at any point. Despite being on the same plane, these lines do not intersect. Lines or rays that share a plane but do not intersect are also considered to be parallel.
a || b and b || c then a || c.
ie. a || b || c
To learn more about : Parallel lines
Ref : https://brainly.com/question/13154179
#SPJ13
3. Jermiah is raising money for tickets to go to the school dance. To do this, he is buying a large number of candy
bars to sell. Bulk candy bars cost $55 for a box, but this is on sale for 10% off the original price. He also has a coupon
for $7 off the total cost before the percent discount is taken. If he has $300 to spend, which of the following
equations will help him determine how many boxes of candy, x, he can buy?
A. 55x0.9(7) = 300
B. 55(0.9x - 7) = 300
C. 0.9(55x) 7= 300
D. 0.9(55x-7)= 300
Answer:
The answer is D, I'm not sure but I believe it's supposed to be
0.1(55-7)= 300
Step-by-step explanation:
Help!! Will give the amazing crown!!
Answer:
\( - \frac{58}{20} < - \sqrt{8} < \frac{17}{22} < 0.78\)
Step-by-step explanation:
There you go, have a good day
Chris and Evan are selling bags of popcorn to raise money for a club at school. Chris started with 10 bags and he sells 4 bags each day.
Evan began with 8 bags and sells 2 bags each day. How many days will it take before they both have the same number of bags remaining?
- A 2 days
B. 4 days
C 1 day
D 6 days
Answer:
1 day
Step-by-step explanation:
You can write an equation, or you can just see what happens each day.
Chris:
Start 10
1 day 6
2 days 2
Evan:
Start 8
1 day 6
Answer: C 1 day
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
Assume these triangles are similar. What is the value of x?
Answer: X= 15
Step-by-step explanation:
If a graph includes the points (2,5) and (8,5) which of the following must be true ? 1.it is the graph of a linear function 2.it is not the graph of a function 3.it is the graph of an increasing function 4.none of the above
Answer
Option 1 is correct.
The graph could easily be the graph of a linear function.
Explanation
The points (2, 5) and (8, 5) can be seen to lie on the same line of y = 5
So, we can conclude that the graph could be a simple linear function, or a curve that passes this point twice.
So, option A is the only correct option here.
Hope this Helps!!!
2²×2³×2⁸×2⁹+10+20²+10+10+10
___________
\( \: \)
\(\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}\)
2² × 2³ × 2⁸ × 2⁹ + 10 + 20² + 10 + 10 + 10
= 2²² + (10 × 4) + 400
= 4.194.304 + 40 + 400
= 4.194.304 + 440
= 4.194.744✔
Answer:
(2²×2³×2⁸×2⁹)+10+20²+10+10+10=
=2²+³+⁸+⁹ + 10 + (20 x 20) +(10+10+10)
=2²² + 10 + 400 + 30
=4.194.304 + (410 + 30)
=4.194.304 + 440
=4.194.744
I need help 1-8 please, it’s due today:)
For 1.) The surface area for the given cylinder =220π
2.) The surface area of the triangular prism = 4,848 in.
How to calculate the surface area of the different shapes given?To calculate the surface area of the cylinder, Tue formula that should be used is given below;
That is;
surface area of cylinder= 2πrh + 2πr²
where;
radius = 10 mi
height = 9mi
surface area = 2×π×10+2×π×10×10
= 20π+200π
= 220π
For question 2.)
To calculate the surface area of the triangular prism given, the formula that should be used is given below;
Surface area = BH + (B1+B2+B3)L
where;
B = 8 in
H = 6 in
B1 = 8 in
B2 = 6 in
B3 = 10 in
L = 10 in
Surface area = 8×6 + (8+6+10)×10
= 48+4800 = 4,848 in
Learn more about area here:
https://brainly.com/question/28470545
#SPJ1
Hi! can anyone help me? Question is down in the picture below! 10 points! Thank you!
Answer:2
Step-by-step explanation:
I’m not exactly sure bc I’ve never heard a problem like that before but I believe that’s correct.