Step 1: Define significant figure
The significant figures of a number are digits in the number that are reliable and absolutely necessary to indicate the quantity of something
Step 2: State the rules of significant figures applicable to the given numbers
Rule a: One of the rules of identifying significant figures in a number is that non-zero digits within the given measurement are significant e.g. 452 has 3 significant figures
Rule b: The zeros between two significant non-zero numbers are significant. e.g. 23.005 consists of 5 significant figures
Step 3: Apply the rules to get the number of significant figures of the question given
Applying rule a, the given number 7.405 has 7, 4, and 5 are nonzeros digits making 3 nonzeros.
Applying rule b, even 0 is a zero digit but it would be counted as a significant figure because it is between nonzeros numbers 4 and 5
Hence, the number of significant figures of 7.405 is 4
work out the circumferrence of this circle 14cm diameter give your answer in terms of pi and state its units
Answer:
Step-by-step explanation:
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:
C = π(14 cm)
Multiplying, we get:
C = 14π cm
So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.
A Camaro can travel 163.8 kilometers for 6.5 hours What is the average speed of the Camaro in kilometers per hour
Answer:
adjective. damaged or spoiled to a certain extent; made less perfect, attractive, useful, etc.: We can all get preoccupied with the marred aspects of our character.
Step-by-step explanation:
adjective. damaged or spoiled un la certaino adversion tengo que per attractivo, useful, etc.: We can all get preoccupied with the marred aspects of our characters?
Classify each of the following statements as true or false.
a 4 × n can be written as 4n. say if it is true or false thanks smarties
b n × 3 can be written as 3n.
c 4 × b can be written as b + 4.
d a × b can be written as ab.
e a × 5 can be written as 50a.
Step-by-step explanation:
a- true
b- true
c- false, it can be written 4b
d- true
e- false, 5a
Answer:
A.true B.true C.False D.true E.False
Your
gross pay is $2,759.00. Your involuntary deductions are FICA (7.65%), federal
withholding (12%), and state withholding (7%). How much are you allowed for housing and
fixed expenses
The amount allowed for housing and expenses is $2023.73.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Gross pay = $2759
Deduction:
7.65%
= 7.65/100 x 2759
= $211.06
12%
= 12/100 x 2759
= $331.08
7%
= 7/100 x 2759
= $193.13
The remaining amount.
= 2759 - 211.06 - 331.08 - 193.13
= $2023.73
Thus,
The amount allowed is $2023.73.
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Please help me with this math question lol
Answer:
120 students are predicted to like chocolate chip ice cream best.
Step-by-step explanation:
40% = 0.4
Multiply 300 by 0.4 to get 40% of 300.
300 × 0.4 = 120
If the mean of 5 positive integers is 15, what is the maximum possible difference between the largest and the smallest of these 5 numbers?
Answer:
64
Step-by-step explanation:
If the mean is 15, the sum of 5 numbers is:
5*15 = 75Minimum value for the first four numbers would be:
1, 2, 3, 4Then the fifth number is:
75 - (1+2+3+4) = 75 - 10 = 65So the maximum difference is:
65 - 1 = 64which point is on the line 4y-2x=0
Answer:
(2,1)
Step-by-step explanation:
The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.
So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:
4(1) - 2(2) = 0
So the point (2,1) is on the line.
Write an equation of the line that passes through (0, -1) and is perpendicular to the line y = 1/9x + 2
An equation of the perpendicular line is y =
The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.
To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.
Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.
y = -9x + b
Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:
-1 = -9(0) + b
-1 = b
Therefore, the y-intercept (b) of the perpendicular line is -1.
Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:
y = -9x - 1
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-10 -8 -6 -4 -2 0 2 4 6 8 10
Plot the integer -7 on the number line.
The distance between 0 and -7 is
The absolute value of -7 is
The magnitude of -7 is
Step-by-step explanation:
To plot the integer -7 on the number line, we can place it to the left of 0. The number line would look like this:
-10 -8 -7 -6 -4 -2 0 2 4 6 8 10
The distance between 0 and -7 is 7 units, since 0 is 7 units to the right of -7.
The absolute value of -7 is 7, since the absolute value of a number is its distance from 0 on the number line.
The magnitude of -7 is also 7, which is the same as its absolute value. The magnitude of a number refers to its size or absolute value, regardless of its sign. In this case, the magnitude of -7 is 7.
Select all the expressions that are equivalent to (12 + x)10.5.
It’s multiple choice and these are the answers
10.5(12x)
(10.5 + 12 + x)
10.5(12 + x)
126x
126 + 10.5x
22.5 + x
Calculate the average rate of change of the function f(x) = mx + b over the interval 2 < or = x< 13.
Answer: it equals m
C). m
Currency exchange rates are based on______.
A.each country’s economy
B. The gold standard
C.current bartering
D.one-for-one exchange
Currency exchange rates are primarily based on each country's economy.
The exchange rate of a currency is influenced by various factors, such as inflation rates, interest rates, political stability, economic performance, trade balances, and market supply and demand.
These factors reflect the overall strength or weakness of a country's economy and play a significant role in determining the value of its currency relative to other currencies in the foreign exchange market.
While historical exchange rate systems, such as the gold standard, had an impact on currency values in the past, the modern exchange rate regime is primarily determined by market forces and economic fundamentals.
Bartering and one-for-one exchange are not directly related to currency exchange rates in the context of global currency markets, as exchange rates involve the relative value of one currency against another.
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A florist received a shipment of 16 dozen roses. The original order was for 20 dozen. What percent of the order did NOT arrive?
Answer:
20 percent
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Hope this helps :)
Find the distance traveled in 25 seconds by an object traveling at a velocity of v(t) = 20 + 5cos(t) feet per second
Answer:
499.338 feet
Step-by-step explanation:
You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.
DistanceThe distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...
\(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)
The distance traveled in 25 seconds is 499.33 feet.
It is required to find the distance traveled in 25 seconds.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
We have to find the distance , we will integrate v(t) from 0 to 25 second.
Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.
Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is
1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.
According to given question we have
Given a velocity function v, the distance s is figured by taking the integral. In this case,
v = 20 + 5 cos(t)
s = 20t + 5 sin(t) from 0 to 25
= s(45)-s(0)
s(0) = 0
so, the distance is
s(25) = 20*25 + 5sin(25)
= 500 -0.661
=499.33 feet.
Therefore, the distance traveled in 25 seconds is 499.33 feet.
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Find the value of the variable please help
Answer:
24 degrees
Step-by-step explanation:
6x = x+120 (vertically opposite angles)
6x-x=120
5x=120
x=120/5
= 24
If 11 (n) equals 143 what is n?
The value of n that will make the expression equal is 13
Equations and expressionEquations are expressions separated by equal sign
Given the equation
11n = 143
Divide both sides by 11 to have;
11n/11 = 143/11
n = 13
Hence the value of n that will make the expression equal is 13
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2\3 + 42=
5\12 + 26=
PLZ ILL GIVE BRANLESETS FOR THE !CORRECT! ANSWER
Answer:
2\3 + 42=42 2/3 or 128/3=42.66
5\12 + 26=26 5/12 or 317/12=26.41
Answer:
2\3 x 42=28
5\12 x 26= 10 5/6
Step-by-step explanation:
Hope this helped.
How do I find GBA and show all the work
Answer:
Angle ACB = 44°
There are two ways to solve it. Both are right
Solution number 1
From triangle ABC
angle BAC = 180°-(102° +44°) = 36°
Because BG is parallel with AC
Then angle GBA = angle BAC = 34°Another solution
The sum of angles in the shape AGBC = 360°
So angle GBC = 360 - (90 + 90 + 44 + 102) = 34°What is the sin of 52 radians
Answer:
sin of 52 radians = 0.98662759204
Step-by-step explanation:
Answer: 0.98
Step-by-step explanation:
Approximately 1, you shouldn't have to answer 0.988 etc on the test.
find x for me i need help.
Answer:
X is 70 degrees
Step-by-step explanation:
In a triangle, all the angles add up to 180.
We can set up an equation:
48+62+x=180
x=180-(48+62)
x=70
Solve the inequality 3(x+1)<18
Answer:
3(x+1)<18
3x+3<18
3x<15
x<5
Step-by-step explanation:
Write and solve an equation to determine the value of x in each diagram
Answer:
40
Step-by-step explanation:
x plus2x plus6=126
3x=126-6
3x=120
x=120/3
x=40
20. Sketch the level curve of the function f(x, y) that contains the point (5,0).
f(x, y) is shown in the picture attached.
At the given point,
\(f(5,0) = \dfrac1{\sqrt{5^2 + 0^2 - 9}} = \dfrac1{\sqrt{16}} = \dfrac14\)
Then the level curve is
\(\dfrac1{\sqrt{x^2 + y^2 - 9}} = \dfrac14 \\\\ \implies \sqrt{x^2 + y^2 - 9} = 4 \\\\ \implies x^2 + y^2 - 9 = 4^2 \\\\ \implies x^2 + y^2 = 25 = 5^2\)
which is a circle centered at the origin with radius 5 - quite easy to sketch.
Escribe una operacion numérica para este modelo.
A. 4-(-2)
B. -4 - (-2)
C. -2 + 4
D. -2 + (-4)
Answer:
A. 4- (-2)
Step-by-step explanation:
suerte!!!!!!!
Multiply (2x + 2y)(2x + 2y)
Answer:
4x² + 4y² + 8xy
Step-by-step explanation:
( 2x + 2y ) ( 2x + 2y ) = ( 2x + 2y )²
Formula : -
( a + b )² = a² + b² + 2ab
Here,
a = 2x
b = 2y
( 2x + 2y )²
= ( 2x )² + ( 2y )² + 2 ( 2x ) ( 2y )
= 2²x² + 2²y² + 8xy
= 4x² + 4y² + 8xy
Simplify the expression: 3(5x - 2) + 3x
Answer:
Original: 3(5x - 2) + 3x
15x - 6 +3x
Answer: 18x - 6
Answer:
18x-6
Step-by-step explanation:
3(5x-2)+3x
Distribute 3 into the parathesis: 15x-6+3x
Combine like terms: 18x-6
Your final answer is 18x-6
(a) 3,235 ft? is about how many m??
Answer:
If you mean m as in miles, then approx 0.61 miles.
Step-by-step explanation:
There are 5280 feet in a mile, so divide 3235 by 5280.
Answer: About 986 meters.
Step-by-step explanation: You can multiply by the unit conversion
.3085 m/1 /ft × 3235ft = 986.028
Or divide 3235/3.281 Same thing. Round to "about 986 meters."
3. How many different numbers can be created by selecting 4 of the digits from the number 8712395?
840 different numbers can be created selecting 4 of the digits from the number
How many different numbers can be created selecting 4 of the digits from the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 8712395
Digits = 4
The count of digits in the number is 7
Using the above as a guide, we have the following:
First digit = any of the 7second digit = any of the remaining 6Third digit = any of the remaining 5Fourth digit = any of the remaining 4So, we have
Numbers = 7 * 6 * 5 * 4
Evaluate
Numbers = 840
Hence, 840 numbers can be formed
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Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?
A. a reflection over the x -axis
B. a rotation 90° clockwise about the origin
C. a rotation 180° counterclockwise about the origin
D. a translation 10 units to the left and 10 units down
A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point X (0, 4) → Coordinates of point Y = (0, -4)
Coordinates of point X (1, 3) → Coordinates of point Y = (-1, -3)
In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.
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What's a negative number greater than?; What does a negative 10 mean?; Is any negative number greater than 0?; How do you write a negative number?
Answer: See explanation
Step-by-step explanation:
Negative numbers are greater than other negative numbers with a higher numerical value, for example negative 1 is greater than negative 3.
Negative 10 means 10 below 0.
There is no negative number that is greater than 0.
You write a negative number by putting a subtraction sign before the number. For example, negative 3 would be -3 (or minus 3 from nothing).