Which of the following best explains whether or 1 is the better estimate of
36
?
40
o A. 20
40
11 / 2 and
1. Since 36 is less than 40,
36
is closer to than it is
40
40
to 1.
0 В.
20
40
to
į and
40
40
1. Since 36 is closer to 20 than it is to 40,
36
40
is closer
2 than it is to 1.
s
OC.
20
40
and
1. Since 36 is exactly halfway between 20 and 40,
40
40
is as close to as it is to 1.
36
40
O D.
20
40
40
40
to 1 than it is to
į and
1. Since 36 is closer to 40 than it is to 20,
36
40
is closer
of 3 Answered
Answers
Answer:
D 36 is closer to 40 than to 20
Step-by-step explanation:
The correct explanation is the one that is true. All except D are false statements.
_____
Additional comment
One of the "test-taking skills" that you need to learn is that multiple-choice answers that make false statements can be immediately rejected. (You don't even need to check to see if they answer the question.)
Of course, there are occasional questions that ask you to find the false statement on the list. In those cases, you reject the true ones.
Related Questions
What’s the volume of the pic
Answers
Answer:
100\(\pi\) cubic cm
Step-by-step explanation:
The volume of a cone can be represented by the formula \(\frac{1}{3} \pi r^{2} h\). Since we know the radius is 5, all we need to find id the height. To do that, we can use the Pythagorean theorem, and see that the height is equal to 12. Plugging the numbers into the formula gives us:
\(V =\frac{1}{3} \pi (5^{2}) (12)\)
\(V = 100\pi\)
HOPE THIS HELPED! :)
3. What is the proper ordering
(from greatest to least) of the
following numbers?
I.58/67
II.0.58%
III.58%
IV.5.8%
O I, III, II,
O III, IV, II, I
O I, III, IV, II
O IV, I, III, II
Answers
Answer:
C) I, III, IV, II
Step-by-step explanation:
Convert each number into a decimal:
\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)
\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)
\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)
\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)
Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.
The next biggest tenth is 5, so 58% is the next largest number.
The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number. Therefore, 0.58% is the smallest number.
Therefore, the given set of numbers in order from greatest to least is:
I, III, IV, IIAnswer:
c) I, III, IV, II
Step-by-step explanation:
Values of l, ll, lll & lV respectively,
→ 58/67, 0.58%, 58%, 5.8%
→ 0.87, 0.0058, 0.58, 0.058
Arranging them in descending order,
→ 0.87 > 0.58 > 0.058 > 0.0058
→ 0.87, 0.58, 0.058, 0.0058
→ l, lll, lV, ll
Hence, the option (c) is correct.
Can someone please help, ty!!
(Will mark brainliest)
Answers
Answer:
I think it is 5 hours I might be wrong
Step-by-step explanation:
A 12 1/2 mile stretch of road needs repaving . A company bids on the repaving project saying they could replace 2 1/4 miles of road per week. How many weeks will the company take to completely replace the stretch of road?
Answers
2 1/4 miles => 1 week
1 mile => 1 ÷ 9/4
( 9/4 is an improper fraction of 2 1/4 )
12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2
= 50/9
= 5 5/9 weeks
( 25/2 is an improper fraction of 12 1/2 )
Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.
( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )
Q 06. Payson is thrice as fast as Amen at completing a task. They both pick up a task together, and complete it in 5 days. How many days will Amen take to do it alone? Ops: A. O 10 days B. O 20 days C. O 25 days D. O 15 days
Answers
Fraction are ratio of two integers. It will take Amen 20 days to do the task alone
Proporions and fractionsFrom the given question, we have the following information
Let the number of days Amen can take to complete a task be x
If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x
If they both pick up a task together, and complete it in 5 days, then;
1/x + 1/3x = 1/5
Find the LCM
3+1/3x = 1/5
4/3x = 1/5
Cross multiply
3x = 20
Determine the time taken by Amen:
x =20/3
This shows that it will take Amen 20 days to do the task alone
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Write an equation of the line passing through the points (3,11) and (-2,-19)
Answers
Answer:
y = 6x - 7
Step-by-step explanation:
y2 - y1 / x2 - x1
-19 - 11 / -2 - 3
-30 / -5
= 6
y = 6x + b
11 = 6(3) + b
11 = 18 + b
-7 = b
write an equation that you can use to slove for x enter your answer in the box
Answers
The value of angle x is 133 degree
And the equation of line be of the form,
⇒ y - y₁ = 133(x - x₁)
In the given line,
one angle is of 47 degree
And other is x degree
To find the value of x,
Since we know that,
The angle of line is 180 degree.
Therefore,
⇒ x + 47 = 180
⇒ x = 133 degree
Therefore slope of this line be 133 degree
Now let this line is passing through (x₁, y₁)
Hence,
The equation of line be,
⇒ y - y₁ = (slope)(x - x₁)
⇒ y - y₁ = 133(x - x₁)
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Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
Answers
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answers
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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A group of 500 art students have three different lecture times for their Introduction seminar . On average, how many students per class will there be
Answers
On average, there will be 167 students in each lecture
Here, we want to get the average number of students that will be in each of the lectures
Mathematically, we proceed to solve this by dividing 500 by 3
Dividing this, we have;
\(\frac{500}{3}\text{ = 166.667}\)Since we cannot have a fractional human, we have to round this up to the nearest integer (whole number)
This division to the nearest whole number is 167
I need help with this problem
Answers
Answer:
4. ∆KLM
Step-by-step explanation:
QR corresponds to KL,
QR/KL = 36/24 = 3/2
RS corresponds to LM,
RS/LM = 45/30 = 3/2
QS corresponds to KM,
QS/KM = 48/32 = 3/2
Therefore,
∆QRS ~ ∆KLM
Neumors Calpha partides are you complete the following: Find the intercepts and domain and perform the symmetry lest on each of the following hyperbolas. (a) 9x2 - 16y² = 144 (c) 25x2 – 4y= 100 (e) #- + y2 = 1 (g) -9x + 16y2 = 144 Graph the vertices, foci, endpoints of the conjugate axis, fundamental rectangle, and asymptores, then draw the hyperbola for each equation in problem 1. Figure 12T exercises 12.6 (6) 9x - y = 9 (d) 25x - 369 = 900 (1) -25x + 4y = 100 (h) -x + 4y = 16 2.
Answers
e) - x^2 + y ^2 = 1
Find the 66th
term in the following
arithmetic sequence
-92, -85, -78, -71, ...
Answers
Answer:
The \(66\)th term is \(363\).
Step-by-step explanation:
To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have
\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).
Answer:
a₆₆ = 363
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then
a₆₆ = - 92 + (65 × 7)
= - 92 + 455
= 363
using the priority list t2, t7, t6, t4, t10, t8, t9, t3, t1, t5, schedule the project below with two processors.
Answers
The average T2, T7, T6, T4, and T10 in Processor 1
T8, T9, T3, T1, and T5 on Processor 2.
Work on tasks t2, t7, t6, t4, and t10 will be done by processor 1. The first task to be finished is task t2, followed by tasks t7, t6, t4, and lastly t10. Work on tasks t8, t9, t3, t1, and t5 will be done by processor 2. The first work to be finished is task t8, followed by t9, t3, t1, and ultimately t5. In order to finish the job quickly, both processors will cooperate, with Processor 1 concentrating on the early tasks and Processor 2 concentrating on the later duties. This guarantees that the project is finished on schedule and that all the tasks are carried out in the proper order.
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which of the following must be true to prove abc = def by the aas the theorem
Answers
Show what a monomial expression looks like
Give me a monomial expression and solve it, step-by-step, thoroughly, show your work and explain with each step how your doing it
(New to this, thanks in advance for the extra help!!!)
Answers
Answer:
Refer to the step-by-step explanation.
Step-by-step explanation:
Come up with a monomial expression and solve it.
What is a monomial expression?A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.
Here are a few examples of an monomial expression:
5x-2xy²3a⁵7m³n²\(\hrulefill\)
Let's work with the monomial expression, 3x²y³z.
To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.
Plug these values into the expression:
3x²y³z
=> 3(3)²(2)³(1)
=> 3(9)(8)(1)
=> 27(8)(1)
=> 216(1)
=> 216
Thus, the expression is solved.
Find the equation of a horizontal line containing the point (4,-8)
Answers
The equation of a horizontal line containing the point is y = -8
How to find the equation of a horizontal line containing the point?The point is given as (4,-8)
Rewrite as
(x, y) = (4,-8)
The line is a horizontal line
So, we remove the x value
This gives
y = -8
Hence, the equation of a horizontal line containing the point is y = -8
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Which expression converts 100 inches per minute to feet per minute?
O
100 inches
1 minute
60 minutes
1 hour
O
100 inches
1 minute
X
1 hour
60 minutes
100 inches
1 minute
X
1 foot
12 inches
O
100 inches
1 minute
12 inches
1 foot
Another question lol take your time
Answers
Answer:
100 inches Over 1 minute times × 1 foot Over 12 inches
Step by Step explanation
Remember that
1ft=12in
The expression converts 100 inches per minute to feet per minute is
100 inch / min x 1 ft/ 12 inch.
What is unit conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. Time can be expressed in minutes rather than hours, and distance can be expressed in miles, kilometres, feet, or any other measurement unit.
We know
1 feet = 12 inch
We have to convert 100 inches per minute to feet per minute.
So, 100 inches
= 100 inch / min x 1 ft/ 12 inch
= 8.33 ft per minute
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A 4-yard dumpster cost $95.00 monthly how much would it cost for the year?
Answer options:
A) 190.00
B) 180.00
C) 170.00
D) 160.00
Answers
If a 4-yard dumpster cost $95.00 monthly, the total cost for the year is $1,140.
How is the total cost determined?The total cost for the year of the dumpster is the product of the multiplication of the monthly cost and 12.
Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.
In any multiplication, there must be the multiplicand (the number being multiplied), the multiplier (the number multiplying the multiplicand), and the product (or the result).
The monthly cost of the 4-yard dumpster = $95.00
1 year = 12 months
The total annual cost = $1,140 ($95 x 12)
Thus, using the multiplication operation, we can find that none of the options is correct as the total annual cost but $1,140.
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4) The density of gasoline is about 0.66 g/mL. If you have 11.5 gallons of gasoline, how many grams is this? [1000 mL = 1 L; 1 gal = 3.785 L]
Answers
9514 1404 393
Answer:
28,728.15 g
Step-by-step explanation:
(11.5 gal) × (3.785 L/gal) × (1000 mL/L) × (0.66 g/mL) = 28,728.15 g
_____
That's 28,700 g rounded to 3 significant figures.
A triangle has a base length of 3ac2 and a height 2 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
Answers
The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.
We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.
(1/2) * Base * Height = Area
We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.
Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters
Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).
Using these values as a substitute in the formula, we obtain:
Area =\((1/2) * 54 * 56 = 1512\) square centimeters
centimetres square
It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.
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2. The mean temperature in an area is 74 degrees Fahrenheit. The sum of the temperatures is
2,516. How many temperatures are in the set?
Answers
To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.
Number of temperatures = Sum of temperatures / Mean temperature
In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.
Number of temperatures = 2,516 / 74
Calculating the division:
Number of temperatures ≈ 34.05
Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.
given f(x) = 17 - x squared what is the average rate of change in f(x) over the interval [1,5]
Answers
let me write this down
Please HELP!!!
Will give 15 points!!
For a test that’s due today!!
Answers
Answer:
A
Step-by-step explanation:
For a right triangle
\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)
This is the same as the other triangle because they are the same size because of congruency
Area of the rectangle
\(a^2+b^2=c^2\\\)
\(\sqrt{(10.4^2+15.3^2} =c\)
\(c= 18.5\)
18.5 x 7 = 129.5
Add them all up
129.5+79.56+79.56= 288.62
Given the inscribed polygon, find the value of both x .and y.
X =
y =
please help!!!
Answers
y= 107
This is because opposite angles in a cycling quadrilateral ( the inscribed polygon) are equal to 180
What’s the product of four-fifths and two-and-five-twelfths?
Answers
1.93 or 29/15
Answer:
One and fourteen fifteenths
Step-by-step explanation
4/5 (2 15/2)
4/5 (29/12)
29/15=1 14/15
a display at an aquarium has sea stars to wolf eels in a ratio 4 : 5. It also has 5/8 as many rockfish as sea stars. there are 40 more wolf eels than rock fish. How many sea stars are there?
Answers
The number of sea stars is 64.
What is a ratio?
Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.
In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."
This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.
According to the question,
Ratio of sea stars to wolf eels = 4:5
Number of rock fish= 5/8 (Number of sea stars)
Number of wolf eels - Number of rock fish = 40
Using the given information, we get,
Number of sea stars = 8/5 (Number of rock fish)
On simplification,
Number of wolf eels = 80
So, number of sea stars = (4/5)*80
= 64
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Write the recursive sequence for: 64, 16, 4, 1, ...
Answers
Answer:
Use the formula
a
n
=
a
1
r
n
−
1
to identify the geometric sequence.
Step-by-step explanation:
a
n
=
64
4
n
−
1 hope this helps you :)
Answer: The answer is in the steps.
Step-by-step explanation:
f(1)= 64
f(n)=1/4(n-1) n in this case is the nth term.
Hi can any one teach me this constant difference
Answers
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Graph the parabola y=(x+5)^2-2
Answers
Answer: Use the steps that are easiest to draw a parabola!
Step-by-step explanation:
I used Desmos, here are the key points.
Vertex: (-5,-2)
Extra points to graph:
(-3, -2), (-7,2) (-2, 7), (-8,7) (-1, 14), (-9, 14)Hope this helps!
