Answer:
14 base 10
Step-by-step explanation:
Remember what the digits mean in the base 10 system we use.
For example, the number 539 (base 10) means:
The 5 in the hundreds place means 5 × 100 = 500.
The 3 in the tens place means 3 × 10 = 30.
The 9 in the ones place means 9 × 1 = 9.
The number 539 means
5 × 100 + 3 × 10 + 9 × 1 = 500 + 30 + 9 = 539
Also keep in mind one more thing. The ones digit means the number of ones. 1 = 10^0. The number in the ones digit means the number if 10^0 you have.
The ten digits is the digit of 10^1.
The hundreds digit is the digit of 10^2 since 10^2 = 100.
In other words, the ones digit is the number of 10^0 you have.
The tens digit is the number of 10^1 you have.
The hundreds digit is the number of 10^2 you have.
Now let's look at base 5.
Here, each place to the left is a successively higher power of 5 instead of a power of 10.
Think of the number 432 base 5.
The 2 is in the units place. it represents the number of 5^0 or ones you have. In this case, it is 2 × 5^0 = 2 × 1 = 2
The 3 is in the 5^1 place. It represents the number of fives you have.
3 × 5 = 15
The 4 is in the 5^2 place. It represents the number of 25's you have.
4 × 25 = 100
The number 432 base 5 means:
4 × 5^2 + 3 × 5^1 + 2 × 5^0
= 4 × 25 + 3 × 5 + 2 × 1
= 100 + 15 + 2
= 117 base 10
In other words, 432 base 5 = 117 base 10.
Now we do the same with your number, 24 base 5.
24 base 5 =
= 2 × 5^1 + 4 × 5^0
= 2 × 5 + 4 × 1
= 10 + 4
= 14
write an equation for a line parallel to y = − 2 x − 3 and passing through the point (3,-3)
Equation of line parallel to y = − 2 x − 3 and passing through the point (3,-3) is y = -2x + 3.
When two lines are called parallel?
Two lines are parallel lines if they do not intersect.
The slopes of the lines are the same.
f(x)= mx + b and g(x)= nx + c are parallel if m = n.
According to the given question:
Given equation of line is y = −2x − 3
If the new line is parallel, then it will have the same slope.
y = -2x + b
Now this line passes through the point (x,y) = (3,-3) so put in the x and y values into the equation above, solve for b
-3 = -2(3) + b
b = 3
Therefore the required equation of line is
y = -2x + 3
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(-4, 2) and (12, 6)?
16. Which TWO equations represent the line that passes through the points
Answer:
Step-by-step explanation:
What is the average number of receipts per quarter at Kingpin Parts?
Answer: The answer is about 57.5
Solve the following equation for b. Be sure to
take into account whether a letter is
capitalized or not.
n³b - tb = 5g
Answer: The correct answer is b=5g/(n^3−t)
Step-by-step explanation:
Solve for b in the following equation
n³b - tb = 5g
First factor out variable b
b(n^3−t)=5g
Divide both sides by n^3-t
b(n^3−t)/n3−t=5g/n^3−t
b=5g/(n^3−t)
38.
a. Find the bearing from O to A.
b. Find the bearing from O to B.
c. Find the bearing from O to C.
d. Find the bearing from A to O.
Answer:
a. 335°
Step-by-step explanation:
Bearing: The angle (in degrees) measured clockwise from north.
a. The bearing from O to A
Measure the angle from the positive y-axis, clockwise to point A.
Angles on a straight line sum to 180°, so the angle between the negative x-axis and point A is (180° - 115°).
Bearing = 270° + (180° - 115°) = 335°b. The bearing from O to B
Measure the angle from the positive y-axis, clockwise to point B.
Bearing = 270° - 48° = 222°c. The bearing from O to C
Measure the angle from the positive y-axis, clockwise to point C.
Bearing = 180° - 27° = 153°d. The bearing from A to O
Measure the angle clockwise from north of point A to point O.
Bearing = 180° - 25° = 155°Please help with this question
Answer:
n=24.90
Step-by-step explanation:
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The value of R, given the equation, can be found to be $ 786. 99.
How to find the value of R?To find the value of R, solve the operations in sequences:
First sequence:
= 0.052 / 4
= 0.013
Second sequence:
= ( 1 + 0. 052 / 4) ²⁴ - 1
= 0.363410670624455519270956581199
Solving for R then gives:
= 22,000 x ( 0.013 / 0.363410670624455519270956581199)
= $786.99
In conclusion, the value of R without rounding intermediate values when rounded to the nearest hundredth is $ 786. 99.
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f(x) = 2x² + 6x - 4
g(x) = 5x³6x² – 3
-
Find (f + g)(x).
A. (f+g)(x) = 5x³ + 2x² − 7
B. (f+g)(x) = 5x³ − 4x² + 6x - 7
-
O c. (f+g)(x) = −5x³ + 8x² + 6x – 1
OD. (f+g)(x) = 7x³ - 7
Answer:
Step-by-step explanation:
The expression which represents the function evaluation (f -g)(x) according to the task content is; (f -g)(x) = 2x³ +5x² -8x -4.
Which expression represents (f-g)(x) according to the functions given?
It follows from the task content that the required function evaluation required is; (f -g)(x).
Given;
f(x) = 2x³ +5x² - 6x - 7
g(x)=2x-3
To find;
(f-g)(x).
Since; (f -g)(x) = f(x) - g(x), the resulting expression for (f -g)(x) is;
(f -g)(x) = 2x³ +5x² -6x -7 -2x +3
Collect like terms;
(f -g)(x) = 2x³ +5x² -6x -2x -7 +3
Hence, (f -g)(x) = 2x³ +5x² -8x -4
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[tex]27x^{3} - 125[/tex]
I've been having trouble with this question. It's sum or differences of cubes. if you can, please send a picture or explain the steps.
Answer:im not sure
Step-by-step explanation:
a?
Answer:
Well, in order to dissect this obstreperous equation, you would require this expertly-crafted formula: Goo gle + IQ of over 70 = success.
Step-by-step explanation:
what is the value of 8.4n-3.2p when n=2 and p=4
Answer:
your answer is 4
Step-by-step explanation:
8.4(2)-3.2(4)=4
Answer: 4
Step-by-step explanation:
Equation: 8.4n - 3.2p
1. Substitute the variables with the given numbers
8.4(2) - 3.2(4)
2. Solve 8.4 × 2
16.8 - 3.2(4)
3. Solve 3.2 × 4
16.8 - 12.8
4. Solve
16.8 - 12.8 = 4
PLEASE HELP!!!!!!!!! This assignment is already late and last day to turn in is TOMORROW!!!!!!!!!
The value of n and m are 110 and 20 respectively if the equations are 2n + 3m = 280 and 2n + 5m = 320.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Two linear equations are:
2n + 3m = 280
2n + 5m = 320
Using the elimination method:
Because the coefficient for n is the same in both equations
-2m = - 40
m = 20
n = 110
Thus, the value of n and m are 110 and 20 respectively if the equations are 2n + 3m = 280 and 2n + 5m = 320.
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A shop makes a profit of £2 750 in March
It has an Easter sale and the profit for April is £3 162.50
Work out the profit percentage increase
The percent increase of the profit is 15%
How to determine the percent increase of the profit?In this question, the figures are given as
Profit in March = £2750
Profit in April = £3162.50
The percentage of the increase of the profit is then calculated using the following equation
Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%
Substitute the known values in the above equation, so, we have the following representation
Increase percentage = (3162.50 - 2750)/2750 * 100%
Evaluate
Increase percentage = 15%
Hence, the increase in percentage is 15%
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Given the table below, write a linear equation that defines the
dependent variable, c, in terms of the independent variable, a.
a
0
4
8
12
с
15
8
1
-6
Someone help me please
The linear equation can be written as 4c + 7a -60 = 0.
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
As per the given problem a function can be defined as,
c = f(a)
Now, in order to write a linear equation from the given table take any two values of the variables as,
a = 0 and c = 15, a = 4 and c = 8.
Then, the linear equation can be written as follows,
(c - 15)/(a - 0) = (15 - 8)/(0 - 4)
=> c - 15 = -7/4a
=> 4c + 7a -60 = 0
Hence, the linear equation that defines the given table is 4c + 7a -60 = 0.
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Which of these is the most reasonable estimate for how many more hours Mina spent playing the piano last week than Ling? O between 1 and 2 hours O between 2 and 2 hours O between 2 and 3 hours O between 3 and 3 hours
Answer: between 2 and 3 hours
Step-by-step explanation:
Easiest method is to convert mixed fractions to decimals:
1-2/3 = 1.67
4-3/10 = 4.3
Ming hrs - Ling hrs = 4.3 - 1.67 = 2.63 hrs
2 < 2.63 < 3
Hey! I am super stuck on this math work sheet I would love if someone would help THANK YOU 10c + 8 + c -3
A line intersects the points (4, 12) and (-1, -3). What is the slope of the line in simplest form? m = [?]
Answer: m = 3
Step-by-step explanation:
-3 - 12 = -15
-1 - 4 = -5
[tex]\frac{-15}{-5}[/tex] = 3
Martina’s chocolate bar. Is 67% cocoa. If the weight of the chocolate bar is 82 grams, how many grams of cocoa does it contain? Round to the nearest tenth
HELP PLEASE NEED IT THANKS
Answer:
<
Step-by-step explanation:
1) Substitute 5 into the question
[tex]\frac{4(5)}{4}[/tex][tex]2(5)-3[/tex]2) Work out the sides
[tex]\frac{4(5)}{4} =5[/tex][tex]2(5)-3=7[/tex]3) Put it into an inequality
5 < 7
Hope this helps, have a great day!
15 points Find the unknown side length. Round to the nearest tenth. Enter your answer in the box
Answer: 24.5
Step-by-step explanation:
4.
20% of what number is 38?
Answer:
190
Step-by-step explanation:
If 38 is 20% then half of 38, 19, is 10%. With that you can divide 19 by 10 and get 1.9. If you take 1.9 and multiply it by 100 you get 190
For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number.
−6, −5
Answer:
-6, 1
Step-by-step explanation:
Possible factors for -6:
1, -6
-1, 6
2, -3
-2, 3
Sums:
1 + -6 = -5 ==> this is it!!
-1 + 6 = 5
2 + -3 = -1
-2 + 3 = 1
What is the value of x?
Enter your answer in the box.
x =
The side length RQ of the triangle QRT that is 'x' will be 4 units.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
In triangle ΔRST, the side RT is given by the sine of angle 60°. Then we have
sin 60° = (2√3) / RT
(√3)/(2) = (2√3) / RT
RT = 2 x 2(√3) / (√3)
RT = 4
In triangle ΔQRT, the side QR is given by the tangent of angle 45°. Then we have
tan 45° = RQ / RT
1 = x / 4
x = 4
The side length RQ of the triangle QRT that is 'x' will be 4 units.
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5. At a restaurant, the total bill and the percentage of the bill left as a tip is
represented in the scatter plot. (Lesson 3-4)
Percentage
32
28
24
20
16
12
8
4
4 8 12 16 20 24 28 32
Total
The best fit line is represented by the equation y = -0.632x + 27.1, where x
represents the total bill in dollars, and y represents the percentage of the
bill left as a tip.
a. What does the best fit line estimate for the percentage of the bill left as
a tip when the bill is $15? Is this reasonable?
b. What does the best fit line predict for the percentage of the bill left as a
tip when the bill is $50? Is this reasonable?
a) The estimate for the percentage of the bill left as a tip with a bill of $15 is of 17.62%, which is reasonable.
b) The estimate for the percentage of the bill left as a tip with a bill of $50 is a non-reasonable -4.5%.
What is the line of best fit?The line of best fit in this problem is defined as follows:
y = -0.632x + 27.1.
In which the variables are defined as follows:
x is the total bill, in dollars.y is the percentage of the total bill left as a tip.Hence, for a bill of $15, the estimate is found replacing x by 15, as follows:
y = -0.632(15) + 27.1 = 17.62%.
Which is reasonable, as it is a positive number.
For a bill of $50, the estimate is obtained as follows:
y = -0.632(50) + 27.1 = -4.5%.
Which is not reasonable, as it is a negative number.
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PLEEEEEASE HEEEEEELPPPP
Answer:
x≤20
Step-by-step explanation:
x+5≤25
-5. -5
x≤20
Hopes this helps please mark brainliest
Answer:
The answer is B
Step-by-step explanation:
20+5=25 and x can be greater than or equal to 25
is 31.43 a integer ?
Each cement block is 4 centimeters thick and each clay block is 6 centimeters thick. Mike
made a stack of 17 blocks that was 82 centimeters thick. How many of each type of block did
Mike use?
Answer:
Step-by-step explanation:
heheh
Find equation of plane pass through points (-2,1,3), (0,4,8) and (-1 ,-1,0)
The equation of plane is x + 11y + 7z - 30 = 0
What is equation?An equation is said to be a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for example, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
Let ( x₁, y₁, z₁ ) ( x₂, y₂, z₂ ) ( x₃, y₃, z₃ ) be the coordinates,
we know that equation of plane is:
[tex]\left[\begin{array}{ccc}x-x1&y-y1&z-z1\\x2-x1&y2-y1&z2-z1\\x3-x1&y3-y1&z3-z1\end{array}\right][/tex] = 0
( -2, 1, 3 ) ( 0, 4, 8 ) ( -1, -1, 0 )
[tex]\left[\begin{array}{ccc}x+2&y-1&z-3\\0+2&4-1&8-3\\-1+2&-1-1&0-3\end{array}\right][/tex] = 0
[tex]\left[\begin{array}{ccc}x+2&y-1&z-3\\2&3&5\\1&-2&-3\end{array}\right][/tex] = 0
On solving this determinant,
(x+2) (-9+10) - (y-1) (-6-5) - (z-3) (-4-3) = 0
(x+2) - (y-1) (-11) - (z-3) (-7) = 0
x + 2 + 11y - 11 + 7z - 21 = 0
x + 11y + 7z - 30 = 0
Therefore, this is the required equation.
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Question 2 (1 poing
This table shows the total shipping costs for objects of
different weights.
Shipping Costs
$6.00
$3.00
$1.50
O $1.25
Weight of Object
(in pounds)
4
8
12
16
Total Shipping Cost
(in dollars)
5
11
17
23
Based on the information in the table, by how many dollars
does the total shipping cost increase if the weight of an
object increases by 1 pound?
The total shipping cost increase by $1.50 if the weight of an
object increases by 1 pound
By how many dollars does the total shipping cost increase if the weight increases by 1 pound?
A rate of change describes how one quantity changes in relation to another quantity. Mathematically, it is defined as the change in one divided by the change in the other quantity.
rate of change = change in total shipping cost / change in weight
Using the information in the table:
rate of change = 11-5 / 8-4 = 6/4 = 1.5
Therefore, the total shipping cost increase by $1.50 if the weight of an
object increases by 1 pound. Option c. is the answer
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When dad pulled out
the lights to hang on
the tree, he tested
them. Out of the 284
lights on the string, 6
of them were out.
What percentage of
the lights were out?
Oleaching with a Mountain View
Answer:
2.113%
Step-by-step explanation:
%out=out/total×100
6/284×100
=~2.113%
If cos of Ф = 2/5, find sin Ф/2 and cos Ф/2. Assume the angles are in the 1st quartile
The exact values of the sine and the cosine of the half angle are √(3 / 10) and √(7 / 10), respectively.
What are the exact values of two trigonometric functions?
Herein we know the exact value of the cosine of an angle set in the first quadrant. Then, the half angle is also in the first quadrant, whose sine and cosine are, respectively:
cos 0.5Ф > 0, sin 0.5Ф > 0
sin 0.5Ф = √[(1 - cos 0.5Ф) / 2]
cos 0.5Ф = √[(1 + cos 0.5Ф) / 2]
First, replace the values of the cosine of the half angle:
sin 0.5Ф = √[(1 - 2 / 5) / 2]
cos 0.5Ф = √[(1 + 2 / 5) / 2]
Second, simplify the resulting expression:
sin 0.5Ф = √[(1 - 2 / 5) / 2]
sin 0.5Ф = √[(3 / 5) / 2]
sin 0.5Ф = √(3 / 10)
cos 0.5Ф = √[(1 + 2 / 5) / 2]
cos 0.5Ф = √[(7 / 5) / 2]
cos 0.5Ф = √(7 / 10)
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