33517
Step-by-step explanation:Method 1
Given:
374F in base 16
To convert to octal;
(i) convert each digit in the number to binary
3 = 0011
7 = 0111
4 = 0100
F = 1111
(ii) join the bits together starting from the first i.e
374F = 0011 0111 0100 1111
(iii) starting from the right to left, group the bits together, each group having 3 bits
374F = 0 011 011 101 001 111
(iv) the group with number of bits less than 3 should be padded with zero.
374F = 000 011 011 101 001 111
(v) convert each of the groups in (iv) above to decimal as follows:
000 = 0
011 = 3
011 = 3
101 = 5
001 = 1
111 = 7
(vi) combine the result above to get;
033517
The first zero can be removed
33517
Therefore, the number in octal is 33517₈
Method 2
Given:
374F in base 16
To convert to octal;
i) convert the number to decimal as follows;
a. Multiply each digit by 16 raised to the power of one less than their position starting from the leftmost digit.
=> 3 is at position 4, so we have
3 x 16⁴ ⁻ ¹ = 3 x 16³
=> 7 is at position 3, so we have
7 x 16³ ⁻ ¹ = 7 x 16²
=> 4 is at position 2, so we have
4 x 16² ⁻ ¹ = 4 x 16¹
=> F is at position 1, so we have
F x 16¹ ⁻ ¹ = F x 16⁰
b. Add each of the terms found in (a) together.
(3 x 16³) + (7 x 16²) + (4 x 16¹) + (F x 16⁰)
c. Remember that F = 15 in decimal. Therefore, substitute F = 15 into the result in (b)
(3 x 16³) + (7 x 16²) + (4 x 16¹) + (15 x 16⁰)
d. Solve the result in (c)
(3 x 4096) + (7 x 256) + (4 x 16) + (15 x 1)
12288 + 1792 +64 + 15
14159
Therefore,
374F in decimal is 14159
(b) Now convert the decimal to octal by dividing by 8 and noting the remainder.
8 | 14159
8 | 1769 r 7
8 | 221 r 1
8 | 27 r 5
8 | 3 r 3
| 0 r 3
Taking the remainders from bottom up gives
33517₈
Therefore, the number in octal is 33517₈
Need helppp........!!!!!!!!!!
Need help ASAP this is important !!!
I need help again sorry-
Answer:
f(x) = - 2(x - 3)² + 2
Step-by-step explanation:
Given
f(x) = - 2x² + 12x - 16 ( factor out - 2 from the first 2 terms )
= - 2(x² - 6x) - 16
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = - 2(x² + 2(- 3)x + 9 - 9) - 16
= - 2(x - 3)² + 18 - 16
= - 2(x - 3)² + 2
I WILL MARK BRAINLEST IF YOU HELP ME
Answer:
Step-by-step explanation:
top left r= 0.9 ; top right r= 0.4
bottom left r=0; bottom right r= -0.4
if they are not around a line looking like r=0
if they resemble a line well is close to r=1
if line goes up from left to right is r positive
if line goes down from left to right is r negative
HELP ME PLEASEEEEEEEEEEEE
Answer:
15 x 20 x 4 = 1,200
6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12
12(area of 1 triangle) x 12(width) = 144
Formula area of a triangle:
B(base) x H(height) x 1/2(basically just dividing by 2)
Formula volume of a rectangular prism:
L x W x H
Answer:
1) 1200
2) 144
Step-by-step explanation:
1:
Volume Of A Cube: L * W * H
Substitute: 25 * 20 * 4
2:
Volume Of A Triangular Prisism: 0.5 * B * A * H
Substitute: 0.5(6 * 4) * 12
The diameter of a circle in 5in.find its area to the nearest tenth
9514 1404 393
Answer:
19.6 in²
Step-by-step explanation:
The area in terms of the diameter is given by ...
A = (π/4)d²
A = π/4(5 in)² = 25π/4 in² ≈ 19.6 in²
what is the tone of the poem The Chimney Sweeper by William Blake
Answer:
The tone of the poem is one of gentle innocence and trust, which contrasts sharply with its grim subject. The young chimney sweeper's words show that he and his fellow sweep are in a harsh situation. They are the among most vulnerable in society: young children who are orphaned or unwanted.
The price of a laptop decreased from RS50 000 to Rs45 000. Calculate the percentage decrease in the price.
Answer:
Step-by-step explanation:
loss amount=Rs 50000-Rs 45000
=Rs 5000
loss%=loss amount/original amount100%
=5000/50000*100
=500000/50000
=10%
what is the degree of polynomial
f (x) = 2x² - 5x+6 ?
Answer:
2
Step-by-step explanation:
The degree of a polynomial is its highest exponent value: in this case, thats just two!
Answer:
degree 2
Step-by-step explanation:
The degree of a polynomial is determined by the largest value of the exponent attached to the variable.
f(x) = 2x² - 5x + 6 ← has the term 2x² with exponent 2 ( largest ), then
f(x) is a polynomial of degree 2
between which two consecutive numbers does the square root below lie ?
[tex] - \sqrt{128} [/tex]
Answer:
where is the second one?
Step-by-step explanation:
Can someone help me do this like the equation?!.
Answer:
36$
Step-by-step explanation:
Angel saved $100 a week for a year. She spent 40%
of her savings on a new bed. How much did she
spend on the bed?
Answer:
40 because 40 percent of 100 is 40. You can just multiply the number by the percentage $100x40%
What is the value of x?
Answer:
It all depends.
Step-by-step explanation:
If you could post an image or something to help us along, I could probably help you.
Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance of 400. What is the probability that a randomly selected pill contains at least 500 mg of minerals
Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that [tex]\mu = 490, \sigma = \sqrt{400} = 20[/tex]
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 490}{20}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
The probability is 0.3085.
Let X=the amount of minerals.
We have to find P(X≥500).
Mean = 490.
Standard deviation = [tex]\sqrt{400}=20[/tex].
z score of 500 is = [tex]\frac{500-490}{20 } =0.5[/tex].
So, P(X≥500) = P(z≥0.5) = 1 - P(z<0.5) = 1-0.6915=0.3085.
Learn more: https://brainly.com/question/14109853
4. Given point A (3, 8) and point B (-5, 1). Find the following:
a.) The coordinates of the midpoint of segment AB. Write your answer in this form: (x, y) (7 points)
b.) Using the distance formula, find the length of segment AB. Round to the nearest hundredth. (7 points)
c.) Find the slope of segment AB. (if your answer is a fraction, use the "/" symbol) (7 points)
Answer:
a) (-1,4.5)
b)10.63 units
c)7/8
Step-by-step explanation:
a) To find this, we use the midpoint formula
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (3,8)
(x2,y2) = (-5,1)
(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)
b) To calculate the distance D between two points, we use the formula;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-3)^2 + (1-8)^2
D = √(-8)^2 + (-7)^2
D = √64 + 49
D = √113
D = 10.63 units
C) We use the slope formula here
m = (y2-y1)/(x2-x1)
m = (1-8)/(-5-3) = -7/-8 = 7/8
please help!! choices for for the first one is $5, $15, $10, $20
Answer:
5, 240
Step-by-step explanation:
A box of Pop-tarts costs $3.00 for 8. How much per pop-tart?
PLEASE HELP ME GUYS ×0×
Find the RATIO and the EXACT VALUE of the given Tan A.
Answer:
Step-by-step explanation:
take angle A as reference angle
using tan rule
tan A=opposite/adjacent
tan A=5/12
tan A=0.41
A=tan 22.5
A=22.5
for ratio,
tan A=5/12
1) Determine the value written as a fraction , decimal & a percent. fraction decimal percent
Answer:
what value??????
select all the expressions that are equal to
8(x-24)
Answer:
Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]
Step-by-step explanation:
No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].
(3^2+4−2)(2^2−3−4) can you guys please solve this for me please.
Answer:
-33
Step-by-step explanation:
[tex](3^2+4-2)(2^2-3-4)[/tex]
[tex](9+4-2)(4-3-4)[/tex]
[tex](13-2)(1-4)[/tex]
[tex](11)[/tex] · [tex](-3)[/tex]
(-33)
Someone help please :)
Answer:
comment if you need a better explanation
Solve
Please help
r/20 - 3 = -2
Answer:
r=30
Step-by-step explanation:
r/30=-2+3
r/30=1
r=1×30
r=30
One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only. About how many complete times can Mike fertilize his lawn with one bag of fertilizer?
Answer:
Mike fertilize his lawn with one bag of fertilizer = 19.33 times
Step-by-step explanation:
Given - One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only.
To find - About how many complete times can Mike fertilize his lawn with one bag of fertilizer?
Solution -
Given that,
1 bag of fertilizer can cover approximately 6,000 square feet.
Now,
Mike's Lawn = 300 square feet
He applied fertilizer to 2/3 of his lawn only.
i.e
He applied fertilizer to (2/3)×300 = 200 square feet of lawn
Now,
Total fertilizer left to cover = 6,000 - 200 = 5800 square feet
Now,
Let x be the times for which he fertilize his lawn fully
SO,
300x = 5,800
⇒3x = 58
⇒x = 19.33
∴ we get
Mike fertilize his lawn with one bag of fertilizer = 19.33 times
Write the expression with fewer terms:
10x 2x
Answer:
12x
Step-by-step explanation:
Combine Like Terms
10x + 2x = 12x
In which function is the range equal to the domain?
1) y = 2
2) y=x?
3) y = log x
4) y = x
What is the mean of the snowfall amounts?
16.9 inches
15 inches
15.9 inches
16 inches
Year Snowfall (inches)
1997 14
1998 10
1999 17
2000 24
2001 12
2002 19
2003 15
2004 27
2005 14
2006 17
Answer:
16.9
Step-by-step explanation:
14+10+17+24+12+19+15+27+14+17=169
169/10=16.9
Find the midpoint and distance of the line segment AB connecting the two points: A(- 4, 5) and B(0, 8)
HELP ON PAGE 25 POINTS
Answer:
Part A: ≈112.06
Part B: B
Step-by-step explanation:
Find the surface area and volume for the separate shapes, then add them up together
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Have a good day :)
Please someone help!!!
Answer:
surface area of the cuboid
(2×2×5)+(2×12×5)+(2×12×2)
20+120+48
188 cm²