what is −3.6 ÷ 2 1/7
Answers
The result of the evaluation as given in the task content is; -42/25.
Fraction divisionIt follows from the task content that the result of the evaluation is required.
First, -3.6 and 2 1/7 can be converted to fractions as follows;
-3.6 = -36/10 = -18/5
2 1/7 = 15/7
Hence; −3.6 ÷ 2 1/7
= -18/5 ÷ 15/7
= -18/5 × 7/15
= -42/25.
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Related Questions
In a circle, a 270° sector has area 300s in? What is the radius of the circle?
.
Answers
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=300\pi \\ \theta =270 \end{cases}\implies 300\pi =\cfrac{(270)\pi r^2}{360}\implies 300\pi =\cfrac{3\pi r^2}{4} \\\\\\ 1200\pi =3\pi r^2\implies \cfrac{1200\pi }{3\pi }=r^2\implies 400=r^2\implies \sqrt{400}=r\implies 20=r\)
Question 10(Multiple Choice Worth 5 points)
(Proportional Relationships LC)
Does the graph represent a proportional relationship?
graph with a line from 0 comma 0 and going through 25 comma 8
No, it is not proportional because the line does not go through (0, 0).
No, it is not proportional because the graph is curved.
Yes, it is proportional because it is a line that goes through (0, 0).
Yes, it is proportional because the x-axis and y-axis are numbered correctly.
Answers
Since the graph has a line from 0 comma 0 and going through 25 comma 8, C. Yes, it is proportional because it is a line that goes through (0, 0).
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.
By critically observing graph of this proportional relationship (see attachment), we can logically deduce that it starts from the origin (0, 0) and as such, it is proportional.
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If QR = 9 and QS = 17, what is RS?
Answers
answer: 8 units
How many ways can a three-person jury be selected from a pool of eleven people?
Answers
A three-person jury can be selected from a pool of eleven people in 165 ways.
What is meant by the term combination?A combination is an arithmetical technique for determining the number of different arrangements in a set of items in which the order of a selection is irrelevant. You can choose the items in any order in combinations. Permutations and combinations are often confused.We will employ the formula ⁿCₓ = n! / x! * (n - x)! to calculate combinations, where n is the total number of items and x represents the amount of items chosen at a time.For the given question;
The total number of person in the pool = 11.
The number of jury selected = 3.
Thus, the combination will be ⁿCₓ.
Where, n = 11 and x = 3.
¹¹C₃ = 11!/3!(11 - 3)!
Simplifying;
¹¹C₃ = 165
Thus, the number of ways in which three jury can be selected from 11 pool of members is 165.
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a–2=3+6a/3 what is the value of a?
Answers
Answer:
a=-5
Step-by-step explanation:
a-2=3+2a
-2=3+a
-5=a
Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Answers
Answer:
Do you mean: When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.
If so your answer is: 2.5!
Question 2
The value of an investment doubled in 15 years. What was the annual rate of return?
Answer using the digits only. Round answer to the nearest tenth.
Question 3
The value of an investment grew from $800 to $1600 in 8 years. What was the annual rate of return?
Answer with the number only.
Question 4
The value of an investment grew from $100,000 to $200,000 in 20 years. What was the annual rate of return?
Answer with the number only.
Question 5
You invest $500,000 into a mutual fund that is expected to earn 6.95% per year. How long will it take the fund to be worth one million dollars?
Answer with the number of years only, round to the nearest whole number.
Answers
The formula that can be used to determine the annual rate of return is:
g = (Future value / present value)^(1 / number of years) - 1
2^(1/15) - 1 = 4.7%
(1600 / 800) ^(1/8) - 1 = 9%
(200,00 / 100,000)^(1/20) - 1 = 3.52%
Number of years = (In FV / PV) / r
Where:
FV = future valuePV = present valuer = interest rateIN2 / 0.0695 = 9.97 years
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9. It is estimated that a certain model rocket will reach an altitude of 200 ft. A photographer is setting up a camera 50 ft away from the launch pad. At what angle should he set the tripod to get a picture at the maximum altitude?
Answers
The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.
We have,
We can use trigonometry to solve this problem.
C
/ \
/ \
/θ \
/ \
/ \
A-------------B
50 ft
In this diagram, A represents the launch pad, B represents the maximum altitude of the rocket, C represents the position of the photographer, and θ represents the angle at which the tripod should be set.
We want to find θ.
First, we can find the height of the triangle ABC using the Pythagorean theorem:
AB² = AC² + BC²
200² = AC² + 50²
AC² = 200² - 50²
AC = √(200² - 50²)
AC = 190.526 ft
Next, we can use the tangent function to find θ:
tan(θ) = opposite/adjacent = AB/BC = 200/50 = 4
Taking the arctangent of both sides, we get:
θ = \(tan^{-1}(4)\)
θ = 75.96 degrees
Therefore,
The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.
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In 1995, the moose population in a park was measured to be 7800. By 1997, the population wasmeasured again to be 8300. If the population continues to change linearly, find an equation for themoose population, P, as a function of t, the years since 1987.What does your model predict the moose population to be in 2003?
Answers
Given:
In 1995, the population is 7800.
In 1997 population is 8300.
it implies that population is increase by 500 after 2 years.
As ,the population continues to change linearly.
From 1987 to 1995 there are 8 years and from 1987 to 1997 10 years.
Note: here the x values are from the year 1987 and y values are population.
We have two points ( 8,7800) and (10,8300)
Slope of the equation is given by,
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ (x_1,y_1)=(8,7800) \\ \mleft(x_2,y_2\mright)=(10,8300) \\ m=\frac{8300-7800}{10-8} \\ m=250 \end{gathered}\)The slope -point form of equation of line is,
\(\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(8,7800) \\ y-7800=250(x-8) \\ y-7800=250x-2000 \\ y=250x+5800 \end{gathered}\)An equation for the moose population P as a function of t years since 1987 is,
P(t)=250t+5800.
The population in the year 2003 is,
Note: we need to determine the years from 1987 to 2003
2003-1987=16
So, the population in the year 2003 that means after 16 years from 1987.
\(\begin{gathered} P(16)=250\times16+5800 \\ P(16)=4000+5800 \\ P(16)=9800 \end{gathered}\)Answer:
1) An equation for the moose population P as a function of t years since 1987 is,
P(t)=250(t)+5800.
2) The population in the year 2003 is 9800.
Help!
A. 1.5
B. 18
C. 24
D. 15
Answers
Answer:
the answer is B
Step-by-step explanation:
0 8. A function f(x) is said to have the jump discontinuity at a point x = a if lim a)x+a+ c) x→a+ f(x) = lim x→a+ f(x) = lim x→a¯ lim X-a f(x). b) lim x→a f(x) = lim x→a¯ _ f(x) f(x) = f(a) d) lim f(x) → +00 x→a+
Answers
The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.
What is jump discontinuity?Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.
According to the given information:
The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.
The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.
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imagine you and a friend are trying to rearrange the furniture in your classroom. You push on a desk with a force of 150 N to the right. Your friend pushes on the same desk with a force of 50 N to the left. What is the net force on the desk?
Answers
Answer:
100NStep-by-step explanation:
If I push on a desk with a force of 150 N to the right and my friend pushes on the same desk with a force of 50 N to the left, this means that I pushed the desk in the positive x direction and the force I applied is F1 = +150N; my friend pushes the desk in the negative x direction and the applied force will be F2 = -50N.
THe net force will the sum total of both forces acting on the desk.
Net force F = F1+F2
Given F1 = +150N and F2 = -50N
Net force F = +150N+(-50N)
Net force F = +150N-50N
Net force F = +100N
Hence the net force on the desk is 100N
5 ≤ - 3x- 3 ≤ 10 solve the inequality for x
Answers
Answer:
\( - \frac{8}{3} \geqslant x \geqslant - \frac{13}{3} \)Step-by-step explanation:
to understand thisyou need to know about:inequalitysolving inequalityPEMDASgiven:5 ≤ - 3x- 3 ≤ 10
to solve:x
let's solve:few notes about inequality
the direction of the inequality doesn't change if you
Add (or subtract) a number from both sidesMultiply (or divide) both sides by a positive numberSimplify a sidethe direction of the inequality does change
if you
Multiply (or divide) both sides by a negative numberSwapping left and right hand sides\(step - 1 : difine\)
\(5 \leqslant - 3x - 3 \leqslant 10\)
\(step - 2 : \\ add \: 3 \: in \: each \: sides\)
\(5 + 3 \leqslant - 3x - 3 + 3 \leqslant 10 + 3\)
\(8 \leqslant - 3x \leqslant 13\)
\(step - 3 : \\ divide \: - 3\: from \: each \: sides \: \\ and \: swap \: the \: inequalily\)
\( \therefore - \frac{8}{3} \geqslant x \geqslant - \frac{13}{3} \)
Find the circumference of a 70yd diameter circle 3,14=pi
Answers
Answer:
70*pi
Step-by-step explanation:
No idea mate
Answer:
219.8 yd.Step-by-step explanation:
circumference of a circle = 2πr
where
r = 70/2 = 35 yd
π = 3.14
plugin values into the formula:
C = 2 (3.14) 35
C = 219.8 yd.
Which choices are correct when determining the distance between −56 and −31?
Answers
Answer:
I dont know sorry so much
Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).
m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]
Answers
Answer:
m = [C. 0.5]b = [A. 3]Step-by-step explanation:
Slope- intercept form:
y = mx + b, where m is the slope, b is the y-interceptGiven points:
(2, 4) and (-4, 1)The slope is:
m = (1 - 4)/(- 4 - 2) = - 3/ - 6 = 1/2 = 0.5Use point (2, 4) to find the value of the y-intercept:
y = mx + b4 = 0.5*2 + bb = 4 - 1b = 3Two heaps of rice are similar shape and contain 128kg and 250kg of rice respectively. The height of the bigger heap is 70 cm, find the height of the smaller one. I always get confused when trying this kind of questions .
Answers
SOLUTION
Let the height of the smaller heap be h
Since the heaps are similar it follows:
\(\frac{128}{250}=\frac{h}{70}\)Solve for h
\(\begin{gathered} h=\frac{70\times128}{250} \\ h=35.84 \end{gathered}\)Therefore the height of the smaller heap is 35.84kg
How would you type the answer for GE as in picture for an edpuzzle answer ? What does the check mark symbol mean ?
Answers
Based on the image attached, the solution for GE is approximately 22.72.
What is the expression ?To be able to solve the equation √129 + √129 = GE, one need to simplify the expression and then isolate GE.
Step 1: One can add the square roots:
Note that the equation:
√129 + √129 = GE.
Step 2: Do put together the square root terms:
2√129 = GE.
Step 3: Then Divide by 2:
√129 = GE/2.
Step 4: The Square both sides:
129 = (GE²)/4.
Step 5: So, Multiply by 4:
516 = GE².
Lastly, Take the square root:
√516 = √(GE²)
√516 = GE
GE = 22.72. approx.
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See text below
Step 26
Solve the equation for GE:
√129+√129 = GE
GE=2/129
Show steps
Un camión va cargado con 3796 kg de patatas. En una frutería descarga 6 sacos de 50 kg cada uno. ¿ Cuanto pesa ahora la carga del camión?
Answers
The current weight of the truck is given as follows:
3496 kg.
How to obtain the current weight of the truck?The current weight of the truck is obtained applying the proportions in the context of the problem.
The initial weight of the truck is given as follows:
3796 kg.
The weight removed from the truck is given as follows:
6 x 50 = 300 kg.
Hence the current weight of the truck is given as follows:
3796 - 300 = 3496 kg.
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Wiyot is earning money for a longboard by selling lemonade at the soccer fields. Being a precocious and poorly-supervised 12 year old, Wiyot has no transportation and decides to use water from a nearby river.
Business is booming! He sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up. How many TOTAL cups of giardia-laced lemonade will Wiyot have sold by the time his parents get a call from county health officials on day 8?
________
Answers
The cups of giardia-laced lemonade that Wiyot will have sold by the time his parents get a call from county health officials on day 8 is 75 cups.
How to calculate the value?From the information, Wiyot sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up.
This is an arithmetic sequence and will be expressed as:
= a + (n - 1)d
a = first term = 33
d = common difference = 6
n = 8
This will be:
= a + (n - 1)d
= 33 + (8 - 1)6
= 33 + (7 × 6)
= 33 + 42
= 75
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Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answers
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
HELP QUESTION IS IN THE PHOTO ILL GIVE YOU EXTRA POINTS
Answers
What is the length of EF in the right triangle below?
D
26
10
E
F
Answers
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
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The area of a rectangle is 128 sq. ft. If the width is twice the length, what is the measure of the length of the rectangle?A.4 ftB.8 ftC.12 ftD.16 ft
Answers
B. 8ft
Explanation:
The formula for the area of a rectangle:
\(\text{width }\cdot\text{ length = Area}\)Since the width here is twice the length => width = 2* length
Let's say that length = x
=> width = 2x
Formula
\(\begin{gathered} \text{Area = }x\cdot2x \\ 128\text{ = x }\cdot2x \\ 128\text{ =}2x^2 \\ 2x^2=128 \\ x^2=64 \\ x=8\text{ or -8} \end{gathered}\)Since the measure can only be positive the length is 8 ft long
(a) The area of a rectangular parking lot is 5964 m².
If the length of the parking lot is 84 m, what is its width?
Answers
Answer:
71 m................
area =length *width
5864=84*width
width=5864/84
hence width is 71m
Evaluate the line integral, where C is the given curve. C (x yz) dx 2x dy xyz dz, C consists of line segments (3, 0, 1) to (4, 3, 1) and from (4, 3, 1) to (4, 5, 4)
Answers
Split up C into two component paths C₁ and C₂, where each line segment is respectively parameterized by
r₁(t) = (1 - t ) (3i + k) + t (4i + 3j + k) = (t + 3) i + 3t j + k
r₂(t) = (1 - t ) (4i + 3j + k) + t (4i + 5j + 4k) = 4i + (2t + 3) j + (3t + 1) k
both with 0 ≤ t ≤ 1.
It's a bit unclear what function you're supposed to integrate (looks like xyz ?) so I'll give a more general result. The line integral of a scalar function f(x, y, z) along the given path C is
\(\displaystyle \int_C f(x,y,z)\,\mathrm ds = \int_{C_1}f(\mathbf r_1(t))\left\|\frac{\mathrm d\mathbf r_1}{\mathrm dt}\right\|\,\mathrm dt + \int_{C_1}f(\mathbf r_2(t))\left\|\frac{\mathrm d\mathbf r_2}{\mathrm dt}\right\|\,\mathrm dt\)
We have
dr₁/dt = i + 3j ==> || dr₁/dt || = √(1² + 3²) = √10
dr₂/dt = 2j + 3k ==> || dr₂/dt || = √(2² + 3²) = √13
Then the integrals reduce to
\(\displaystyle \int_0^1 \left(\sqrt{10}\,f(t+3,3t,1) + \sqrt{13}\,f(4,2t+3,3t+1)\right)\,\mathrm dt\)
If indeed f(x, y, z) = xyz, then we have
\(\displaystyle \int_0^1 \left(3\sqrt{10}\,t(t+3) + 4\sqrt{13}\,(2t+3)(3t+1)\right)\,\mathrm dt = 11\sqrt{\frac52}+42\sqrt{13}\)
-(-10)=?
Please help me with this equation!!
Answers
Answer:
+10
positive 10
:))))))))))
Describe the features of the function that can be easily seen when a quadratic function is given
in the form: y=ax^2+Bx+C and how they can be identified from the equation. How can this
form be used to find the other features of the graph?
Please help
Answers
When a quadratic equation is given in the form y = ax^2 + Bx + C the easily seen features are
the opening of the curve in the axis - open upwardthe x - coordinate of the vertex, v(h, k) h = -b/2a the axis of the parabola - y axisthe discriminant given by (b² - 4ac)How this form can be used to find other featuresEquation of a parabola is the equation used to trace the path of a parabola. this equation is a quadratic equation
The formula for the roots of the quadratic equation is derived from the equation of the form y = ax^2 + Bx + C to be
-b ± √{(b² - 4ac)2a)
the y intercepts is gotten by equating x = 0
The axis of symmetry refers to the axis where the parabolic curve can be bisected. this is in the y axis
"a" shows if the curve opens upwards or downwards.
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when you refer to the meer-kitty survey feedback tab, you are pleased to find that the available data is aligned to the business objective. however, you do some research about confidence level for this type of survey and learn that you need at least 120 unique responses for the survey results to be useful. therefore, the dataset has two limitations: first, there are only 40 responses; second, a meer-kitty superfan, user 588, completed the survey 11 times. as the survey has too few responses and numerous duplicates that are skewing results, you should remove the duplicates and continue analyzing the remaining 29 responses.
Answers
The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.
To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.
It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.
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Triangles WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!