Answer:
characteristic: 0mantissa: 0.90309Step-by-step explanation:
The terms "characteristic" and "mantissa" refer to parts of the logarithm of a number. Their values will be different, depending on the base of logarithms used.
The base 10 (common) logarithm of 8 is ...
log(8) ≈ 0.90309
The characteristic is the integer portion of the logarithm: 0.
The mantissa is the fractional portion of the logarithm: 0.90309.
_____
Additional comment
To be more technically precise, the "characteristic" is the "floor" of the logarithm: the greatest integer not greater than the log value. For example, the characteristic of log(0.003) = -2.522879 is -3. The mantissa is the (positive) fractional value after the characteristic is subtracted. The mantissa of log(0.003) is 0.477121.
The mantissa can always be found in log tables. It corresponds to the log of a value between 1 and 10. The characteristic is the exponent of 10 the number would have if it were written in scientific notation.
0.003 = 3×10^-3
log(0.003) = log(3) + log(10^-3) = -3 +log(3) = characteristic + mantissa
Write the equation of the graph shown below in factored form.
A. f(x) = (x+2)(x-1)(x-3)
B. f(x) = (x-2)(x+1)(x+3)
C. f(x) = (x+2)(x+1)(x+3)
D. f(x) = (x-2)(x-1)(x-3)
Answer:
a. f(x)=(x+2)(x-1)(x-3)
Step-by-step explanate
PLEASE PLSASE ANSWER THIS
Answer:
a = 57.5
b = 57.5
Step-by-step explanation:
XY=XZ so c=d
[tex]c = d = \frac{180 - 65}{2} = 57.5[/tex]
Now draw the XH
So angle YXH = 180 — 90 — 57.5 = 32.5
a+YXH=90
a+32.5=90
so a = 57.5
We know that a + 65 + b = 180
So 57.5 + 65 + b = 180
b = 180 — 122.5
b = 57.5
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \fbox \colorbox{black}{ \colorbox{white}{a} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{b} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
From the above diagram we can conclude that ~
Angle c = Angle a (Alternate interior Angle pair)
Angle d = Angle b (Alternate interior Angle pair)
and,
Angle c = Angle dbecause their opposite sides are equal.
now, according to linear pair property ~
Angle a + Angle b + 65° = 180°replacing Angle a with Angle c and Angle d with Angle b, because they are equal to one another ~
Angle c + Angle d + 65° = 180°2 × Angle c = 180° - 65°(because Angle c = Angle d)
2 × Angle c = 115°Angle c = 115° ÷ 2 Angle c = 57.5° = Angle dSo,
Angle a = Angle c = 57.5°Angle b = Angle d = 57.5°Please answer
It’s Pythagoras btw
ASAP
Answer:
X=11.979425
Step-by-step explanation:
Divide 7.3 and 5.5 which gives you 1.327272… Then, divide 15.9 by 1.3272727
Mario's plumbing company charges a flat fee of $40 to make a
house call, plus $25 per hour.
(a) Write an equation that describes the situation in slope-intercept form and explain what the x- and y-values represent.
(b) Graph the situation on a coordinate plane assuming the domain is all real numbers.
(c) What does the y-intercept mean?
Answer:
Step-by-step explanation:
y = mx + b
m = $25 and b = $40
(a). y = 25x + 40 , where x-value is hours of work and y-value is total amount of money consumer will pay.
(c). The y-intercept is a flat fee.
The Pie Problem!
Question: The Morgans had pumpkin pie for their Thanksgiving dessert.
The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate
her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion
How much of the ple is left after the daughter ate her portion?
Answer:
1/12
Step-by-step explanation:
find the least common multiple of the denominators.
which is 12
so 1/4=3/12
2/3=8/12
1/2=6/12
so 3/12- 8/12 - 6/12 = -11/12
so there is 1/12th pieces left after they all ate their portions of the pie
the ratio of white marbles to black marbles is 7 to 10. if there are 136 marbles in the bag how many marbles are white?
Answer:
White Marbles: 56
Step-by-step explanation:
Let number of white marbles be x
7/10=x/136-x
10x=7(136-x)
10x=952-7x
17x=952
x=56
Answer:
56
Step-by-step explanation:
7/17 * 136 = 56.
Sara was asked by Mr. Rocha to solve the equation below. − 3 x = y + 51 What is the value of x when y has a value of − 9 ?
Answer:
x = - 14
Step-by-step explanation:
Given equation
-3x = y + 51Putting the value of y
-3x = -9+51-3x = 42x = - 42/3x = - 14Hope it's helpful!
ᔕEᒪEᑎᗩ328
The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14.
What is the equation?An equation is said to be linear if the maximum power of the variable is consistently unity.
More than one variable may be present inside a linear equation.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given equation,
-3x = y + 51
At y = -9
-3x = -9 + 51
-3x = 42
x = -14
Hence "The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14".
For more about the equation,
brainly.com/question/10413253
#SPJ2
help me or no branlest
Answer:
48 * 70% or use 48 * 0.7
Simplify.
3.4 + (–6.3)
–9.9
–2.9
2.9
9.9
__% of 4 is 7
hellpp
Answer:
175 %
Step-by-step explanation:
x % of 4 = 7
[tex]\dfrac{x}{100}*4 = 7\\\\\\x = 7*\dfrac{100}{4}\\\\x = 7*25\\\\x = 175[/tex]
How many different 5-digit PIN codes are there that only include the digits 6, 2, 5, 4, 8 and 7?
Answer:
First, there are NO 5-digit pin codes that include the digits 7, 2, 4, 6, 9, and 3. But, there are 720 pin codes that include 5 out of the 6 digits.
On a sunny day Josée's shadow
is 2.9 m long, while the shadow
of a tower is 11.3 m long. If
Josée is 1.8 m tall, calculate
the height of the tower.
Answer:
sorry I don't know the answer to this question
Helppp me Please!! i beg
Answer:
The answer would be -16
Step-by-step explanation:
Add
5
the length of a rectangle is 5 less than 2 times its width, if the perimeter is 86ft, what is the length and width of the rectangle. Write and solve the equation
Answer:
Width: 16
Length: 27
Step-by-step explanation:
Let x be the width of the rectangle.
The length would then be 2x - 5
The perimeter is:
2x - 5 + x + 2x - 5 + x =
6x - 10 = 86
Solve.
6x = 96
x = 16
Thus,
Width: 16
Length: 27
pls Round 2.382 to the nearest hundred
If 2.383 is rounded to the nearest hundred the answer is 2.38
[tex]\huge\bold\blue{2.38}[/tex]
Explanation:
2 - ones
. - decimal point
3 - tenths
8 - hundredths
2 - thousandths
8 is the digit in the hundredths place
look at the number on its right (which is 2)
if: < 5, just copy the number until the nearest hundredths.
if: > or = 5, add 1 to the hundredths then copy the number until the nearest hundredths
convert the following measurements into
the indicated units
1.) 100 m^2
– as ft^2
2.) 2 km _____ ft
3.)2,057 grams - as kg
4.) 1.25 × 10-7 meters - as µm
5.) 6.58 × 104 meters - as km
6.) 2.78 × 10-1 grams - as mg
Answer:
1) 1076.4ft^2
2). 6561.68ft
3). 2.057kg
4). 1.25×10^-1
5). 6.58×10^1km
6). 278mg
What is the equation of this line in standard form?
A: 9x−8y=23
B: 8x−9y=23
C: 8x−9y=−23
D: 8x−7y=−25
Answer:
B:8x-9y=23
Step-by-step explanation:
First find the slope:
m= y2-y1/x2-x1
y2 is 3
y1 is -1
x2 is 1/2
x1 is -4
3-(-1) is 4
1/2-(-4) is 9/2
Now the equation looks likes this:
4 / 9/2
Which can be rewritten as
4*2/9
Thus the slope is 8/9
So the equation is
y=8/9x+b
Now you can substitute to find the y-intercept:
(you can do either (-4,1) or (1/2,3)
I am going to do (1/2,3) since it is easier
3=8/9(1/2)+b
Simplify:
3=4/9+b
Subtract 4/9 on both sides:
b=23/9
Thus the equation is
y=8/9x+23/9
Multiply 9 on both sides:
9y=8x+23
Subtract 8x on both sides:
8x-9y=23
Hope this helps!
Pecan producers blow air through the pecans so that the lighter ones are blown out. The
lighter-weight pecans are generally bad ("bad nuts") and the heavier ones tend to be better
D("good nuts"). These "blow outs" and "non-blow outs" are often sold to tourists along the
highway. Suppose that 50% of the pecan "blow outs" are good and 80% of the "non-blow outs"
are good.
a. If you purchase 30 pecans, what is the expected number of good nuts you will find if you
purchase "blow outs?"
b. If you purchase 30 pecans, what is the expected number of bad nuts you will find if you
purchase "non-blow outs?"
ng your
Answer:
yes
Step-by-step explanation:
Seventeen bicycles are produced each hour at the Speedy Bike Works. Show that the relationship between the number of bikes produced and the number of hours is a proportional relationship. Then enter an equation for the relationship, using x as the variable that represents the number of hours.
the two quantities are ____.
a.equal.
b.no equal.
The relationship ____.
a.is.
b.is not.
Answer:
17
34
17
17
equal
is
y = 17x
Step-by-step explanation:
After 1 hour , 17 bicycles are produced
After 2 hours, 34 bicycles are produced
Ratio of bikes produced per hour after one hour is
= no. of bikes produced after 1 hr / no of hours
= 17 / 1 = 17
Ratio of bikes produced per hour after two hours is
= no. of bikes produced after 2 hrs / no of hours
= 34 / 2 = 17
a. equal
b. is
equation of y is
no of bikes produced = (rate/ hour) * no of hours
y = 17 * x
1 3/5 plus 4 1/5 add or subtract write in simplest form
Answer:
Step-by-step explanation:
1 3/5 + 4 1/5
= 8/5 + 21/5
= 29/5
= 4 4/5.
4 1/5 - 1 3/5
= 21/5 - 8/5
= 13/5
= 2 3/5.
write a subtraction sentence where the difference is negative use a positive and negative integer
Answer:
Examples:
-5 - 2
-4 - 1
-8 - 6
Basically, the negative integer should be first with the higher greater absolute value.
Step-by-step explanation:
Answer:
-7-(-6)
Step-by-step explanation:
=-1.
it contains a positive and negative integer
how many miles did Candice bike on her route?
Answer:
200miles per hour andv50 9
whats 50 times 100 the answer
Answer: 50 * 100 = 5000
Step-by-step explanation:
a simple way of multiplying numbers that are a 1 with zeros is by simply moving the zeros from that number to the other number
100 has 2 zeros, so you ad them to the 50. 50 with 00 is 5000
Answer: 5O x IOO = 5OOO
Step-by-step explanation:
5OOO, think of it like 5 x 1, 5 x 1 = 5, now add 3 zero’s since there are 3 zeros.
Find the base of
4+6 = 20
Answer:
So in base 5, 4+6 = 20
Step-by-step explanation:
Hiya! I need help i bet it says im in high school but im in middle school can you tell me what percent of 25 is 20 in middle school
Answer:
25 percent of 20 is 5 percent
Answer:
Step-by-step explanation:
percentage:
80%
messed up saying it was 125% so say thanks to the person who commented below mine-
My little sister need help with this problem. Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks. What two other factor pairs could Annabelle use to help her rearrange the blocks again?
Explain your answer using complete sentences.
Answer:
21 rows and two Blocks
1 row 42 Blocks
Step-by-step explanation:
Number of blocks with Annabelle = 42
First arrangement = 3 rows 14 blocks
Second arrangement = 6 rows 7 blocks
Solution
The other two factor pairs that could be used to rearrange the blocks again?
Solution:
Here, we will have to find the factor pairs of total number of blocks present with Annabelle.
i.e. 42
First of all, let us have a look at the factor pairs of 42.
Therefore, the other two factor pairs can be 2, 21 and 1, 42.
The other two possible factor pairs are:
21 rows 2 blocks
1 row 42 blocks
Solve the equation for x.
x/5 = -8
Answer:
x = -40
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
Multiply 5 to both sides of the equation:
(x/5) * 5 = (-8) * 5
x = -8 * 5
x = -40
x = -40 is your answer.
~
Answer:
[tex] \mathbb= > \frac{x}{5} = - 8[/tex]
[tex]\mathbb = > x = - 8 \times 5[/tex]
[tex]\mathbb = > x = - 40[/tex]
If one team had 7 players, how many players did the other team have
Answer:7
Step-by-step explanation:because each team has to be equal
Write the equation of the horizontal line that passes through the point (2,-12)
Answer:
y=-12
hope this helps!
PLEASE HELP! I WILL GIVE BRAINLIEST <3
A regulation football field is 300 feet by 160
feet, with 30 foot end zones at either end of
the longer side. What is the distance from the
back corner of one end zone to the opposite
front corner of the other, as denoted by the
dashed line in the picture to the left?
Answer:
10 <3
Step-by-step explanation:
Answer:
340ft
Step-by-step explanation:
So this is just the Pythagoren Theorem. a^2+b^2=c^2
340ft
