If Log 20 = 1.301 what is the value of Logsub100 20?
I need the step by steps! I can’t find anything videos online to teach this to me
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Answer:
[tex]log_{100}20 = 0.6505[/tex]
Step-by-step explanation:
log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)
This basically means:
[tex]10^{1.301} = 20[/tex] (This is the log in exponential form)
Since we don't know what [tex]log_{100}20[/tex] is equal to, we will say [tex]log_{100}20[/tex] = x
So to solve for [tex]log_{100}20[/tex] = x, you do the same thing. (convert to exponential form)
[tex]100^{x} =20[/tex]
Now you will notice that both of these equations are equal to 20.
Since 20 = 20,
we can say [tex]100^{x}[/tex] = [tex]10^{1.301}[/tex]
Another way of saying 100, is [tex]10^{2}[/tex] (make the bases the same)
Now we get [tex]10^{2x} = 10^{1.301}[/tex]
(we get 2x because an exponent to the power of an exponent ([tex]2^{x}[/tex]) is the same as 2 * x)
Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:
2x = 1.301
x = 0.6505
Related Questions
Please answer it due tonight
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need help asap please!!
Answers
Answer:
VX = 37
Step-by-step explanation:
Since VX is the midsegment, based on the midsegment theorem we would have:
VX = ½(UY)
VX = s - 37
UY = s
Plug in the values
s - 37 = ½(s)
Multiply both sides by 2
2(s - 37) = s
2s - 74 = s
Collect like terms
2s - s = 74
s = 74
VX = s - 37
Plug in the value of s
VX = 74 - 37 = 37
please help me guys lol?
Answers
Answer:
Hey
Step-by-step explanation:
Write the fraction in simplest form
[tex] - \frac{29}{18} [/tex]
EXPLANATION[tex] \frac{8}{9} - \frac{5}{2} [/tex]
Find the difference between 8/9 and 5/-2
[tex] \frac{8}{9} - \frac{5}{2} [/tex]
[tex] \frac{8 \times 2}{9 \times 2} - \frac{5 \times 9}{2 \times 9} [/tex]
[tex] \frac{16}{18} - \frac{45}{18} [/tex]
[tex] \frac{16 - 45}{18} [/tex]
[tex] \frac{ - 29}{18} [/tex]
[tex] - \frac{29}{18} [/tex]
Which expression is NOT equivalent to
2^3•5•7
A 2•2•2•5•7
B 2^3•35
C 2•3•5•7
D 8•5•7
Answers
Answer:
its c or a
Step-by-step explanation:
C. 2•3•5•7
Hopes this helps
Will mark brainliest!!!Solve for x and round to the nearest tenth
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Answer:
i think its 63
Which equation is equivalent to 4(6x-2)+1=5(4x-1)
a. 24x-7=20x-5
b.24x-1=20x-1
c.24x-4=10x-5
d.24x+9=20x+5
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Find the missing side or angle.
Round to the nearest tenth.
A=18°
B= 28°
b=100
a=[ ? ]
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Answer: a = [ 65.8]
Step-by-step explanation:
A = 18°
B = 28°
b = 100
a = [ x ]
[tex]\dfrac{100}{sin \: 28^{o} } =\dfrac{x}{sin \: 18^{o} } \\\\\dfrac{100}{0.4694715628} =\dfrac{x}{0.3090169944} \\\\x=\dfrac{0.3090169944 \cdot 100}{0.469715628} \\\\x=65.78810\dots \\x \approx 65.8[/tex]
Help me with this please with 40 points!!!
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Answer:
4
Step-by-step explanation:
-8x = 140
Solve for x
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Answer:
x = -17.5Explanation:
-8x = 140
Divide both sides by -8-8x / -8 = 140 / -8
x = ⁻³⁵⁄₂
Simplifyx = -17.5
Answer:
-17.5
Step-by-step explanation:
140 divided by -8=-17.5
x=-17.5
wHaT iS tHe aReA I NEED HELP
Answers
Answer:33 square feet
Step-by-step explanation:
Split the shape into two rectangles
3x7
6x2
Solve:
3x7=21
6x2=12
Add
21+12=33
Answer:
the area is 32
Step-by-step explanation:
Help me out with number 9 (geometry)
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Answer:
The answer to the question provided is 37.5.
Will mark brainliest!!! Please solve the ones in green using Tran
Answers
Answer: 160.96 and 99.03
Step-by-step explanation:
Number 1:
[tex]tan(61) = \frac{x}{43}[/tex] [tex]tan(61)(43) = x[/tex][tex]160.96 = x[/tex]Number 2:
[tex]tan(57) = \frac{48}{x}[/tex][tex]tan(57)(x) = 48[/tex][tex]x = \frac{48}{tan(57)}[/tex][tex]x = 99.03[/tex](05.06A)Angle ABC is formed by segments AB and BC on the coordinate grid below:
Which statement shows the measure of angle A′B′C′?
A. m∠A′B′C′ = 90 degrees
B. m∠A′B′C′ = 180 degrees
C. m∠A′B′C′ = m∠ABC
D. m∠A′B′C′ = 2 × m∠ABC
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Answer:
(C) m∠A′B′C′ = m∠ABC
Step-by-step explanation:
Regardless of what translation or transformation you do to this shape, the angles will always stay the same.
Answer:
Give the other guy who answer brainlyist he is poggers.
Step-by-step explanation:
Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y
Answers
Answer:
x = 2, y = 13
(2, 13)
Step-by-step explanation:
hope this helps!
(BRAINLIEST) and more in the description.
Question: A marble is randomly selected from a bag of 32 red and yellow marbles. What is the probability that the selected marble is red, if there are 20 yellow marbles in the bag?
Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.
Answers
Step-by-step explanation:
If there are 20 yellow marbles,
there must be 32 - 20 = 12 red marbles.
P(Red marble)
= 12/32
= 0.375.
Answer:
The probability is 12/32
Step-by-step explanation:
If there are 12 red marbles and 20 yellow marbles, then there will be a 12/32 chance that you pick a red marble
This is because out of 32 marbles, you have 12 red marbles that you could pick, which gives you a 12/32 chance that you will pick a red marble. This can also be said as a 37.5% chance.
Which equation represents the relationship between x and y in the table below?
x 0,2,4,6
y 1, 2, 3, 4
a. y=1/2x+1
b. y=x+1
c. y=x-2
d. y=-1/2x+1
Answers
x is going up 2
y is going up 1
this means the slope is 1/2
the y intercept is 1 because when x = 0 y = 1
Answer:
a
Step-by-step explanation:
if it’s wrong i’ll change it when i’m done with this quiz
Square ABCD is shown in the xy-coordinate plane. The square will be
dilated with the center O by a scale factor of 2 to create square A'B'C'D'.
Which statements are true?
Select all that apply.
BC ||B'C'
AC=A'C'
AD_CD
Point D' has the same coordinates as point C.
Point C' lies on the line containing points 0 and C.
Answers
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:
BC║B'C'AC ⊥ line C'D'D' and C have the same coordinatesC' lies on line OCA self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?
Answers
Answer:
C (yogurt sales had a decresing trend)
Step-by-step explanation:
so because if you look over other staistics they are not true and this one is
The yogurt sales has been decreasing in the last four months of 2011, the correct option is C.
What is a Graph?Graph is a mathematical representation of relation between two objects.
The pie chart, line graph and the data table has to be studies to answer about the trend that is followed for the customer purchases of ice creams and yogurt.
The yogurt sales has been decreasing in the last four months of 2011.
To know more about Graph
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Emily bought 12 oranges from store to make orange juice. The total cost was $15. How much did each orange cost?
Answers
Answer: 1.25
Step-by-step explanation:
hope this helps !!
please help me and I'll give you brainliest
Answers
Answer:
Im pretty sure its 96.
in other words, i think its A.
...brainly now?
how i did this:
Formula for Volume of Rectangular prism: V=lwh
The width is the bottom row
The length is the bottom row but on the side.
The hight is.... the hight. the number of blocks going up.
then if you times your W (width), your L (length), and your H (hight), then you will get your V (volume.)
W= 4
L= 6
H= 4
times it together and you get V=96
Answer:
[tex]\mathrm{A. \:96\:cubic\:cm}[/tex]
Step-by-step explanation:
The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 4x4x6.
Therefore the volume of this prism is:
[tex]4\cdot 4\cdot 6=\fbox{$\mathrm{A. \:96\:cubic\:cm}$}[/tex]
What is the area, in square centimeters, of the trapezoid below?
8.9 cm
5.5 cm
5.5 cm
Answers
Answer:
0.4m²
Step-by-step explanation:
use the formular for tripezoid and only substitute a b and h
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answers
Answer:
B
Step-by-step explanation:
We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:
[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]
The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:
[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]
Remember that the derivative of a constant is always 0. Therefore:
[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]
And by subtracting dy/dt from both sides, we acquire:
[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]
Hence, our answer is B.
Answer:
Let x and y be functions of time t such that the sum of x and y is constant.
(B) is the right answerFind x, y, and z:
x =
y =
z =
Answers
Answer:
x=81 degrees
y=132 degrees
z=60 degrees
Answer:
x=81 degrees
y=132 degrees
z=60 degrees
A builder needs to cover 10 square yards of floor with tile. red tile costs $60 per square yard, and white tole costs $40 per square yard. if the builder spends exactly $480 on tile, how much of the floor will be overed with RED tile?
Answers
Answer:40 square yards
Step-by-step explanation:
Given
Floor area A=10 square yards
Red tile costs [tex]\$ 60[/tex] per square yards
White tile costs [tex]\$40[/tex] per square yards
Total money spent=[tex]\$480[/tex] on tiles
Suppose red tiles cover an area of [tex]x[/tex] square yards
So, we can write
[tex]60\times x+40\times (10-x)=480\\60x+400-40x=480\\20x=80\\x=40\ \text{square yards}[/tex]
Red tiles cover an area of 40 square yards
What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?
A. (X-2)^2 = 4(y+5)
B. (Y+4)^2 = 4(x-2)
C. (X+2)^2 = 1/4(y+4)
D. (X-2)^2 = -1/4(y+5)
Answers
Answer:
A. (X-2)^2 = 4(y+5)
Step-by-step explanation:
Equation of parabola: (x-2)² = 4(y+5)
Thus option A is correct.
Given:
Focus at (2, -4) and a Directrix of y = -6
Here,
Let us suppose that there is a point (x, y) on the parabola.
Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²
Its distance from directrix y = -6 is |y + 6|
Therefore, the equation will be:
√(x - 2)² + (y + 4)² = |y + 6|
Squaring on both the sides,
(x - 2)² + (y + 4)² = (y + 6)²
x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36
(x-2)² = 4(y+5)
Therefore option A is correct.
Know more about parabola,
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Hope this isn’t too difficult, my teacher said to show you're work... so I hope you don’t mind explaining how you found it.
Answers
Answer:
3/4 / 1/6
keep the first fraction the same
3/4
flip the second fraction
6/1
change the division to a multiplication it should then read
3/4 X 6/1
now multiply the fractions
3 X 6 = 18
4 X 1 = 4
18/4 this can then be turned into a mixed number.
there are four 4's in 18 with two left over. so it becomes
4 2/4 and simplified 4 1/2.
A manufacturer of prefabricated homes has decided to subcontract four components of the homes. Several companies are interested in receiving this business, but none can handle more than one subcontract. The bids made by the companies for the various subcontracts are summarized in the following table. Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors? Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors?
Bids by Companies (in $1000s) for Various Subcontract
Company
Component A B C D
1 185 225 193 207
2 200 190 175 225
3 330 320 315 300
4 375 389 425 445
What is an LP model that matches this?
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Let [tex]x_{ij}=1[/tex] when i is the element itself is allocated to 'j' [tex]i_0[/tex]
Min
[tex]185X_{1A}+225X_{1B} +193X_{1C} +207X_{1D} +200X_{2A} +190X_{2B} +175X_{2C}+225X_{2D}+330X_{3A} +320X_{3B} +315X_{3C}+300X_{3D}+375X_{4A}+389X_{4B}+425X_{4C}+ 445X_{4D}[/tex]
Subject to:
[tex]X_{1A} +X_{1B}+X_{1C}+X_{1D}=1\\\\X_{2A} +X_{2B}+X_{2C}+X_{2D}=1\\\\X_{3A} +X_{3B}+X_{3C}+X_{3D}=1\\\\X_{4A} +X_{4B}+X_{4C}+X_{4D}=1\\\\X_{1A} +X_{2A}+X_{3A}+X_{4A}=1\\\\X_{1B} +X_{2B}+X_{3B}+X_{3B}=1\\\\X_{1C} +X_{2C}+X_{3C}+X_{4C}=1\\\\X_{1D} +X_{2D}+X_{3D}+X_{4D}=1[/tex]
John has a bag of marbles There are 3 green, 4 blue, 2 red and 1 yellow. What is the probability of him getting a green or blue?
Answers
Answer:
7/10 or 70%Step-by-step explanation:
Total marbles:
3 + 4 + 2 + 1 = 10Green and blue marbles:
3 + 4 = 7Probability of getting green or blue:
7/10Find the value x and write the property used here.
Answers
Step-by-step explanation:
Soln,
Here,
45°+65°+y(let)=180°[ being a triangle]
or,110°+y=180°
or,y=180°-110°
so,y=70°
Now,
x=?
so,
x+y=180°[being straight angle]
or,x+70°=180°
or,x=180°-70°
x=110°
THEREFORE,x=110°
solved!
Answer:
x = 110°
Step-by-step explanation:
Exterior angle property states that the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
x = 45° + 65° = 110°
Dont really know this. Anyone wanna help.
Answers
Answer:
25 degrees
Step-by-step explanation:
angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,
90 degrees - 65 degrees = 25 degrees