The volume of cube whose edge length is 0.843 is 0.599 cubic centimeters.
According to the given question.
Length of the edge of the cube = 0.843 cm.
As we know that, a cube is a 3-D solid shape, which has 6 faces. A cube is one of the simplest shapes in three-dimensional space. All the six faces of a cube are squares, a two-dimensional shape.
And the volume of cube is calcualted by the formula
V = a^3
Where,
V is the volume of cube
And, a is the length of the edge of cube
Therefore,
The volume of the cube whose edge length is 0.843 cm
= (0.843cm)^3
= 0.599 cubic centimeters
Hence, the volume of cube whose edge length is 0.843 is 0.599 cubic centimeters.
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SNOWFALL In February 2015, South Bend, Indiana , saw one of its snowiest Februarys on record. The snowfall in February 2015 was 0.6 inch more than twice the snowfall in February 2020. The snowfall in February 2015 was also 8.35 inches fewer than 2.5 times the snowfall in February 2020. Write and solve an equation to find the amount of snowfall in February 2015 and in February 2020 .
The amount of snowfall in February 2015 was 36.4 inches and the amount of snowfall in February 2020 was 17.9 inches
Solving system of equationsFrom the question, we are to determine the amount of snowfall in February 2015 and in February 2020
Let the amount of snowfall in February 2015 be x
and the amount of snowfall in February 2020 by y
From the given information,
"The snowfall in February 2015 was 0.6 inch more than twice the snowfall in February 2020"
That is,
x = 0.6 + 2y
Also, from the information
"The snowfall in February 2015 was also 8.35 inches fewer than 2.5 times the snowfall in February 2020"
x = 2.5y - 8.35
Now,
Solve the system of equations simultaneously
x = 0.6 + 2y -------- (1)
x = 2.5y - 8.35 -------- (2)
Equate equations (1) and (2)
0.6 + 2y = 2.5y - 8.35
0.6 + 8.35 = 2.5y - 2y
8.95 = 0.5y
y = 8.95/0.5
y = 17.9
Substitute the value of y into equation (1)
x = 0.6 + 2y
x = 0.6 + 2(17.9)
x = 0.6 + 35.8
x = 36.4
Hence, the amount of snowfall in February 2015 was 36.4 inches and the amount of snowfall in February 2020 was 17.9 inches
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13. Determine the equation of the polynomial with degree 4 whose graph is shown in the figure.
The equation of the polynomial on the graph is P(x) = x^2(x - 2)(x + 2)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the equation of the polynomial?The graph represents the given parameter
On the graph, we have the following points
Points that the graph crosses the x-axis: x = 2 and -2Points that the graph turns on the x-axis: x = 0The multiplicities at these points are
Points that the graph crosses the x-axis: 1Points that the graph turns on the x-axis: 2Using the above as a guide, the equation of the polynomial is
P(x) = (x - x value)^Multiplicity
So, we have
P(x) = (x - 2)^1 * (x + 2)^1 * (x - 0)^2
The above equation becomes
P(x) = (x - 2) * (x + 2) * x^2
Evaluate
P(x) = x^2(x - 2)(x + 2)
Hence, the equation of the polynomial on the graph is P(x) = x^2(x - 2)(x + 2)
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Evaluate the expression on top we have (4•3)^2 and on bottom we have 9+3
Answer:
12
Step-by-step explanation:
12² is 144/9+3 is 144/12
Answer: Raise 2 to the power of 3
9+3=12
Step-by-step explanation: hope this helps!!!!
helppppppppppppppppppppppppppppppppp
Answer:
S
Step-by-step explanation:
because an acute angle is and angle that is 89 or lower the rest are obtuse or right angle
Answer:
∠S
Step-by-step explanation:
An acute angle is an angle that is <90°, and in this case, angle S's measure is less than 90 or 15 in degrees, which both classify acute angles.
(9x+1)+(-6x{2}-9x-4)
Answer:
12x - 3
Step-by-step explanation:
q1: find the hexadecimal representation for each of the following binary numbers 1. 10101101 2. 00100111 q2: find the decimal representation for each of the following hexadecimal numbers 1. 8ef 2. 5ce q3: find the binary representation for each of the following decimal numbers 1. 53 2. 885 q4: find the answer for the following hexadecimal 1. 35 ab 2. aa – 22
The hexadecimal representation for the given question is 1. 0xAD 2. 0x27 and the decimal representation of the given question is 1. 10001110 2. 01011100
What do you mean by the term hexadecimal?The hexadecimal numeral system, usually known as base 16 or just "hex," is a positional numeral system used in mathematics and computing that uses the radix (base) of 16 to represent integers. Hexadecimal uses 16 different symbols as opposed to the decimal system's 10 symbols, with the most common being "0"-"9 to represent values 0 to 9 and "A"-"F" (or alternatively "a"-"f") to represent values 10 to 15. Hexadecimal numbers are frequently used by software engineers and system designers because they offer a human-friendly representation of binary-coded data. For example, an 8-bit byte might have values ranging from 00000000 to 11111111 in binary form, which can be succinctly represented as 00 to FF in hexadecimal. Each hexadecimal digit represents four bits (binary digits), often known as a nibble (or nybble).
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Table: Is it a function? (yes/no) Why or why not?
Answer:
Yes
Step-by-step explanation:
Every x and y coordinate is different. The y-coordinates don't have the same x-coordinate, so the function passes the vertical line test. This function is called a discrete function since it's made up of individual points, not a line or curve.
Answer:
yes
Step-by-step explanation:
Different x and y coordinate
Different gradient of line graph
Therefore,it is a function.
the top and bottom ends of a windshield wiper blade are 30 inches and 13 inches, respectively, from the pivot point. while in operation, the wiper sweeps through 135°.
The area swept by the wiper is 860.75 square inches, as calculated by the formula of area of a sector.
What is a sector and its area?A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.Area of a sector = [tex]\frac{1}{2}r^{2}\theta[/tex] (where the angle is in radians)Given:
Top end of windshield = 30 inchesBottom end of windshield = 13 inchesAngle made = 135 degrees = 3π/4 radiansTo find: Area swept by the wiper.
Finding:
As area of the sector = [tex]\frac{1}{2}r^{2}\theta[/tex],
Area swept by the wiper will be given by: (Area of the sector made by the top end of the windshield) - (Area of the sector made by the bottom end of the windshield)
=> Area swept by the wiper = [tex]\frac{1}{2}(30)^{2}\frac{3\pi}{4} - \frac{1}{2}(13)^{2}\frac{3\pi}{4}[/tex]
=> Area = [tex]\frac{1}{2}\frac{3\pi}{4}(900 - 169)[/tex]
=> Area = [tex]\frac{1}{2}\frac{3\pi}{4}(731)[/tex] ≈ 860.75 square inches
Hence, the area swept by the wiper is 860.75 square inches, as calculated by the formula of area of a sector.
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Evaluate 4 - 2(a - 3) for a=5
Answer: 0
Step-by-step explanation:
4 - 2(a - 3) =
4 - 2(5 - 3) =
4 - 2(2) =
4-4=0
In the question 2(8x - 1) = 20 i got 8/11 but the correct answer is 11/8 how do you determine which number goes on top and which goes on the bottom.
you roll 3 dice. if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose 2 $. what is the expected win?
When you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.
Given,
You roll 3 dice.
In each dice there will be 6 outcomes
Total number of outcomes = [tex]6^{3}=216[/tex]
Conditions are
You earn $10, if you get same numbersYou earn $5, if you get two numbers sameYou loss $2, if the numbers are all differentWe can find the number of each cases by using the combination method
Number of cases all the outcomes are same =6
Number of cases you get two numbers same = [tex]6C_{2}[/tex]×3!
=90
Number of cases the numbers are all different= 6×5×4
=120
Therefore the expected win = (6×10+90×5-120×2)÷216
=270÷216
= $1.25
Hence, when you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.
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Which trigonometric functions are undefined when = 0? (enter the abbreviation for each function. enter your answers as a comma-separated list. let (, ) be a point on the unit circle.)
The functions cosecant and cotangent are undefined when functions sine and tangent are equal to zero.
What trigonometric functions are undefined when the angle is zero?A function becomes undefined when its denominator becomes zero. In the case of trigonometric functions we know that both sine and tangent of 0° are equal to zero. In addtion, there are two following trigonometric formulas:
csc θ = 1 / sin θ
cot θ = 1 / tan θ
Thus, the functions cosecant and cotangent are undefined when functions sine and tangent are equal to zero.
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what is a absoulte value?
Answer:
Absolute value is how many steps it takes to get to 0
Step-by-step explanation:
For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero
Answer:
The magnitude (true distance from zero) of a number or measurement, regardless of sign. Usually the true positive value of a number.
Examples:
|–6| = 6
|4| = 4
|200| = 200
|–5000| = 5000
|0.5| = 0.5
−4 1/3÷−2 3/5 (I still don't know the answer to this and please I need help on this for my extra credit!! Thanks!
Answer:
-205/69
Step-by-step explanation:
-41/3÷23/5
reciprocate, then the sign changes
-41/3×5/23
=-205/69
find the gradient-intercept form of the equation of the line which has a gradient of 5 and passes through the point (1, 11)
The gradient-intercept form of the equation of the line which has a gradient of 5 and passes through the point (1, 11) is y = 5x + 6
Gradient intercept form Or slope incept form of a linear equation is given by
y = mx + c
where m is the gradient or slope of the equation and c is the constant
As we are aware that the line passes through a point whose coordinates are (1, 11)
By putting the value of gradient/ slope, x coordinate in place of x in equation and y coordinate in place of y in equation we get
11 = 5 (1) +c
11= 5 + c
11-5 = c
6 = c
now, substituting the value of c in the Gradient/ slope intercept form
y = 5x + 6
Hence, The gradient-intercept form of the equation of the line which has a gradient of 5 and passes through the point (1, 11) is y = 5x + 6
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drink(s) within a 4 hour time span, regardless of height and weight, can get you a bac of .01% .
1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.
Blood Alcohol Content (BAC) is a measure of alcohol in the blood as a percentage. It is calculated in grams per 100 mL of blood, so a BAC of 0.08 means your blood is 0.08% alcohol by volume.
Here, the BAC = 0.1%
Time span = 4 hours
We know,
BAC is a measure of alcohol in the blood as a percentage
Alcohol leaves the body at an average rate of 0.015 g/100mL/hour
Hence, 1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.
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I am a multiple of 3 I am also a multiple of 4 the sum of my digits is a prime number I have 2 digits what number am I?
Answer:
the number 12
Step-by-step explanation:
the number 12 is a multiple of both 3 ans 4. the sum of the 2 digits in 12, is 3, which is a prime number. 12 only has 2 digits
The weather report predicted that the low temerature would be 93 degrees farenheit. The weather man said , "The low temperature was 13 degrees warmer than predicted!'' What was the low temperature, in degrees Farenheight?
Answer: 106!
Step-by-step explanation:
7, 000 000 000 000 000 000
how do you read this
Answer: Seven trillion i think
Step-by-step explanation:
Subtract 8y+7 from 4y-8
-4y-1
Step-by-step explanation:
If you subtract [tex]{ \green{ \tt{8y + 7}}} [/tex]from [tex]{ \red{ \tt{4y - 8}}}[/tex] then the resultant answer will be as follows
[tex] \: \: \: \: \: { \red{ \tt{4y - 8}}} \\ - \ \: { \green{ \tt{8y + 7}}} \\ = -{ \blue{ \tt{ 4y - 1}}}[/tex]
the hats of n persons are thrown into a box. the persons then pick up their hats at random (i.e., so that every assignment of the hats to the persons is equally likely). what is the probability that (a) every person gets his or her hat back?
The probability that every person gets his or her hat back is 1/n!
What are equally likely function?If each possibility in a sample space S has the same chance of happening, then all of the outcomes are equally likely. The following experiment shows how easy it is to compute the probability of a single result or an event if all outcomes in a sample space S are equally likely.
Think about the sample space for all hat assignments.
This has n! components (n hat picks for the first person, then n - 1 for the second, etc.),
with each occurrence having a chance of 1/n and being equally likely. Calculation is the issue.
The likelihood of a single element occurring, hence the response is 1/n!
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2 (1,5 x 1,2 m) cm ²
Answer:
360 milliliters
Step-by-step explanation:
2 (1,5 x 1,2 m) cm ² (wink wink)
12=456 marking the first one bry
Answer:
38?
Step-by-step explanation:
I can't tell if you were dividing, but 456/12 is equal to 38. Same goes if you were looking for 456=12*x, which x is also 38.
Random groups of 30 teachers were asked the starting annual salary for their
first teaching job. The sampling variability was low. If the average salary of
several of the groups was close to $51,000, which of these is least likely to be
the average salary of another one of the groups?
If the average salary of several of the groups was close to $51,000 then least likely to be the average salary of another one of the groups are equal to $41,000.
Random groups of teachers are = 30
If the average salary of several of the groups was close to equal to = $51,000
The mean, or average, salary is the amount derived by adding two or more salary values and dividing the sum by the number of values.
So we can write,
The average wage is known to be close to $41,000
$41,000 < $51,000
Therefore,
The average salary of another one of the groups are equal to $41,000.
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Please help me with this question
to answer this question, you may find the following information useful: the contiguous united states (all of the states minus alaska and hawaii) can be approximated as a rectangle that measures 1000 miles north to south and 3000 miles east to west
In order to cover the entire land area of United States with dollar bills, it would cost 9 × 10¹⁴ dollars.
What is a conversion factor?A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.
Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.
Conversion:
1 mile = 160934 cm
Length of contiguous land = 160934 × 3000 miles = 482,802,000 cm.
Width of contiguous land = 160934 × 1000 miles = 160,934,000 cm.
Mathematically, the area of a rectangle can be calculated by using this formula;
Area of rectangle = length × width
Area of contiguous land = 482,802,000 × 160,934,000
Area of contiguous land = 77,699,257,068,000,000 cm²
Next, we would determine the area of Alaska:
Area of Alaska = 1/5 × 77,699,257,068,000,000
Area of Alaska = 15,539,851,413,600,000 cm²
Total area = Area of Alaska + Area of contiguous land
Total area = 15,539,851,413,600,000 + 77,699,257,068,000,000
Total area = 93,239,108,481,600,000 cm²
Also, the area of a dollar bill is given by:
Area of dollar bill = 6.5 × 15.5
Area of dollar bill = 100.75 cm²
Now, we can determine the cost:
Cost = Total area/Area of dollar bill
Cost = 93,239,108,481,600,000/100.75
Cost = 9 × 10¹⁴ dollars.
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Complete Question:
How much would it cost to cover the entire land area of United States with dollar bills? To answer this question, you may find the following information useful:
The contiguous United States (all of the states minus Alaska and Hawaii) can be approximated as a rectangle that measures 1000 miles north to south and 3000 miles east to west, while Alaska has about one-fifth the area of the contiguous states and Hawaii is small enough to be ignored for this rough calculation. Also, note that a dollar bill measures around 6.5cm × 15.5cm. Express your answer to one significant figure!
f(x) = -3/5 x-17
If f(x) = -2, find x.
Answer:
x = 5/44
Step by Step:
First start with -2 = -3/5 x-17, once you do that you see that you need to make the x in -3/5 x-17 make the equation equal -2. Requiring knowledge of basic multiplication in the negatives. Once you find the number to multiply by, in this equation would be 5/44, you multiply.
107 + 78 pls help will mark brainiest
Answer:
185
Step-by-step explanation:
Answer:
Step-by-step explanation:
100 + 70 = 170
7+8= 15
170+15 = 185
170 + 78 +185
Write the domain for {(-4; 3), (2; 1), (0;3), (-3;-2)}
d=
Answer:
Element of xcomponent is called domain.
Step-by-step explanation:
Domain=(-4,2,0,-3)
Hope this helpful for you.
on a 1375-mile flight, an airplane's average speed is 550 miles per hour. the flight is within a single time zone and leaves at 10 am. What time will the airplane arrive at its destination
The time the airplane will arrive at its destination is; 12:30 pm
What is the relationship between distance and time?
The relationship between distance, time and speed is;
Speed = Distance/time
Now, we are given;
Distance = 1375 miles
Speed = 550 miles per hour
Thus;
Time = Distance/Speed
Time taken = 1375/550
Time taken = 2.5 hours
Thus, if he leaves by 10 am, then the time to arrive is;
10 am + 2.5 hours = 12:30 pm
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