Answer:
<a = 30
<b = 60
<c = 115
Step-by-step explanation:
<a = 30 since they are vertical angles and vertical angles are equal
<a + < b + 90 = 180 since they make a triangle
30 + <b +90 = 180
120 + <b = 180
<b = 180-120
<b = 60
<c + 75 = 180 since they form a straight line
<c = 180-75
<c = 115
Answer:
a=30
b=60
c=105
Step-by-step explanation:
We know a=30 because 30 and a are the same
The middle forms a triangle and triangles are equal to 180
The box indicates that the angle is 90 degrees
180=a+b+90
180=30+90+b
b=60
Angle c is supplementary to 75 so it must equal 180
180=c+75
c=105
Let me know if you have any questions!
Does 8in to 1ft reduce it or enlarge it
Answer:
enlarge it
Step-by-step explanation:
I ft = 12 inches
Thus 8 in → 12 in makes the transformation larger.
Thus going from 8 in to 12 in is an enlargement
Review the graph of function g(x).
Which point is on the graph of the inverse function g^-1(x)?
O (-3,0)
O (0,-3)
O (2,3)
O (3,4)
Answer:
A
Step-by-step explanation:
I did the wrong thing. I inverted the graph. That's not the question. The question is which one of the following is on the inverse of the graph. That means that x and y are interchanged. The answer you gave was the second best answer. The answer is (-3,0) which is A.
Solve the equation log10 (2m²+ 5m-2)=1
One property of logarithms is that you can use the small number under the log and raise it by the number on the other side of the log. Once the number raised, the log will disappear. You can then solve like normal.
The value of m is -4 and 3/4.
What is logarithm?In mathematics, the logarithm exists as the inverse function to exponentiation. That represents the logarithm of a provided number x exists the exponent to which another fixed number, the base b, must be raised, to produce that number x.
we know this logarithmic law :-
[tex]log_1_0P=x[/tex]
converted to indices :-
[tex]10^x=P[/tex]
therefore,
[tex]log_1_0(2m^{2} + 5m -2) = 10^{1}[/tex]
2m²+ 5m-2=0
2m²+8m-3m-12 =0
2m(m+4)-3(m+4) =0
(m+4) (2m-4) =0
m = -4 or m= 3/4
The value of m is -4 and 3/4.
To learn more about logarithm refer to:
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find the product using formula (a+b) (a-b) = a square + b square a.61×59. Note: Solve by using formula.
Answer:
[tex]\huge\boxed{\sf 3599}[/tex]
Step-by-step explanation:
= 61 × 59
You can write 61 = 60 + 1 and 59 = 60 - 1
Hence,
= ( 60 + 1 ) ( 60 - 1 )
According to the formula:
[tex](a+b)(a-b) = a^2-b^2[/tex]
= (60)² - (1)²
= 3600 - 1
= 3599
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Find the length of the third side. If necessary, round to the nearest tenth.
16
12
Answer:
Submit Answer
PLS HELP ASAP
Answer:
I think 16.
Step-by-step explanation:
because 12 is impossible and last answer is 16.
Answer:
the third side will be √500
Step-by-step explanation:
[tex]\sf{}[/tex]
using PGT
(16)²+(12)²=H²
=> 256+144 = H²
=> 500 = H ²
=> √500 = H
URGENT!!!!
The value of a12 is:
2
0
1
can't be done
it's 1 beacuse the exponent has no power so its 1
The correct answer from the given matrix shows that the value of a12 is 1
What is a Matrix?This refers to a rectangular array of numbers that is arranged in rows and columns to indicate a mathematical property.
Hence, we can see that from the matrix given, we can see that there are different values for each one and to find a12, we can see that because there is no power in the exponent, the answer is 1.
Read more about matrixes here:
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Help me please i have no idea how to do this
Find the missing value.
Hint: Use the number line to find the missing value.
了。
-(-2)
{
开
-10
-5
→
15
0
5
10
-15
Answer:
-5
Step-by-step explanation:
-5 -(-2)
=-7
I hope this helped!Write the greatest and the least numbers formed by the digits 4, 2, 3, 5, 6 and add these numbers.
and those who will give it's correct answer I will make him /her brainlist
Answer:
Greatest number is 65432
Lowest number is 23456
Step-by-step explanation:
[tex]65432+23456=88888[/tex]
Segment overline BD bisects angle ABC . Solve for Round to the nearest tenth, if necessary (Image not necessarily to scale.)
Answer:
Hello,
Answer 52/3
Step-by-step explanation:
using the theorem of the bissector :
[tex]\dfrac{x}{13} =\dfrac{20}{15 } \\\\x=\dfrac{20*13}{15} \\\\x=\dfrac{52}{3}[/tex]
The value of x to the nearest tenth is 18.5
Pythagoras theoremTo get the value of x, we first need to get the height of the triangle.
[tex]h^2=20^2-15^2\\h^2=400-225\\h^2=175\\h=13.23[/tex]
Next is to get the value of x
[tex]x^2=13^2+13.2^2\\x^2=343.24\\x=18.52[/tex]
Hence the value of x to the nearest tenth is 18.5
Learn more on pythagoras theorem: https://brainly.com/question/343682
37/50 of a number is what percentage of that number?
Answer:
74% percentage of 37/50
Answer:
74%
Step-by-step explanation:
37/50 * 100 = 74%
When you want to obtain percentages, in most of the cases you multiply by 100.
Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ?
f(x)= x3 - 2x2 - 3x + 6
f(x)= x3 - 2x2 + 3x + 6
f(x)= x3 + 2x2 - 3x + 6
f(x)= x3 + 2x2 - 3x - 6
Using the factor theorem, it is found that the polynomial is:
[tex]f(x) = x^3 - 2x^2 - 3x + 6[/tex]
Given by the first option
---------------------------
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] using the factor theorem it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
---------------------------
In this question:
[tex]x_1 = 2[/tex][tex]x_2 = \sqrt{3}[/tex][tex]x_3 = -\sqrt{3}[/tex]By the options, leading coefficient [tex]a = 1[/tex]Thus:
[tex]f(x) = (x - 2)(x - \sqrt{3})(x + \sqrt{3})[/tex]
[tex]f(x) = (x - 2)(x^2 - 3)[/tex]
[tex]f(x) = x^3 -2x^2 - 3x + 6[/tex]
Which is the polynomial.
A similar problem is given that: https://brainly.com/question/4786502
Calculus!
The volume of a substance, A, measured in cubic centimeters increases according to the exponential growth model dA/dt = 0.3A, where t is measured in hours. The volume of another substance, B, also measured in cubic centimeters increases at a constant rate of 1 cm^3 per hour according to the linear model dB/dt = 1. At t = 0, substance A has a volume A(0) = 3 and substance B has size B(0) = 5. At what time will both substances have the same volume?
Would it be correct to write the growth model of substance B as x + 5? And how could I write the growth model of substance A? Thank you in advance, and sorry for the poor formatting.
Answer:
The two substances will have the same volume after approximately 3.453 hours.
Step-by-step explanation:
The volume of substance A (measured in cubic centimeters) increases at a rate represented by the equation:
[tex]\displaystyle \frac{dA}{dt} = 0.3 A[/tex]
Where t is measured in hours.
And substance B is represented by the equation:
[tex]\displaystyle \frac{dB}{dt} = 1[/tex]
We are also given that at t = 0, A(0) = 3 and B(0) = 5.
And we want to find the time(s) t for which both A and B will have the same volume.
You are correct in that B(t) is indeed t + 5. The trick here is to multiply both sides by dt. This yields:
[tex]\displaystyle dB = 1 dt[/tex]
Now, we can take the integral of both sides:
[tex]\displaystyle \int 1 \, dB = \int 1 \, dt[/tex]
Integrate. Remember the constant of integration!
[tex]\displaystyle B(t) = t + C[/tex]
Since B(0) = 5:
[tex]\displaystyle B(0) = 5 = (0) + C \Rightarrow C = 5[/tex]
Hence:
[tex]B(t) = t + 5[/tex]
We can apply the same method to substance A. This yields:
[tex]\displaystyle dA = 0.3A \, dt[/tex]
We will have to divide both sides by A:
[tex]\displaystyle \frac{1}{A}\, dA = 0.3\, dt[/tex]
Now, we can take the integral of both sides:
[tex]\displaystyle \int \frac{1}{A} \, dA = \int 0.3\, dt[/tex]
Integrate:
[tex]\displaystyle \ln|A| = 0.3 t + C[/tex]
Raise both sides to e:
[tex]\displaystyle e^{\ln |A|} = e^{0.3t + C}[/tex]
Simplify:
[tex]\displaystyle |A| = e^{0.3t} \cdot e^C = Ce^{0.3t}[/tex]
Note that since C is an arbitrary constant, e raised to C will also be an arbitrary constant.
By definition:
[tex]\displaystyle A(t) = \pm C e^{0.3t} = Ce^{0.3t}[/tex]
Since A(0) = 3:
[tex]\displaystyle A(0) = 3 = Ce^{0.3(0)} \Rightarrow C = 3[/tex]
Therefore, the growth model of substance A is:
[tex]A(t) = 3e^{0.3t}[/tex]
To find the time(s) for which both substances will have the same volume, we can set the two functions equal to each other:
[tex]\displaystyle A(t) = B(t)[/tex]
Substitute:
[tex]\displaystyle 3e^{0.3t} = t + 5[/tex]
Using a graphing calculator, we can see that the intersect twice: at t ≈ -4.131 and again at t ≈ 3.453.
Since time cannot be negative, we can ignore the first solution.
In conclusion, the two substances will have the same volume after approximately 3.453 hours.
The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
9514 1404 393
Answer:
x = (√2)/2
Step-by-step explanation:
The diagonal is √2 times the side length (x), so ...
1 = x√2
√2 = 2x . . . . . multiply by √2
(√2)/2 = x . . . . divide by 2
The side length x is (√2)/2.
please help me Find DE.
Answer:
DE = 11
Step-by-step explanation:
DF = DF +EF
4x+2 = x+7 + 7
Combine like terms
4x+2 = x+14
Subtract x from each side
4x+2-x = x+14-x
3x+2 = 14
Subtract 2 from each side
3x+2-2 =14-2
3x=12
Divide by 3
3x/3 = 12/3
x = 4
DE = x+7 = 4+7 =11
Answer:
DE is 11
Step-by-step explanation:
[tex]DE = DF - EF \\ DE = (4x + 2) - 7 \\DE = 4x - 5 [/tex]
But for x:
[tex]4x + 2 = (x + 7) + 7 \\ 4x + 2 = x + 14 \\ 3x = 12 \\ x = 4[/tex]
Therefore:
[tex]DE = (4 \times 4) - 5 \\ = 16 - 5 \\ = 11[/tex]
answer please lol so uh yeah
Answer:
5x=20
5x/5=20/5
x=4
Step-by-step explanation:
substitute the 5x
divide both sides by 5 it will be 20 divide by 5
answer is x =4
The University of Detroit-Mercy is 3/4 miles from Dana's house. Marygrove College is 2/5 miles from her house. What is the difference in the two distances?
Answer:
0.35 as a decimal and 7/20 as a fraction
Step-by-step explanation:
PLS HELP ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE QUESTION!!
Which of the following statements is true?
A. A data set will always have exactly one mode
B. A data set can have multiple modes
C. A data set will always have at least one mode
D. A data set will never have a mode
Answer:
Step-by-step explanation:
The mode is the most number of times a number appears in a set of data points.
If there is at least one entry in the data set, then there is at least 1 mode. You can have more than 1 mode.
3, 3, 3, 5, 6, 6, 6 has 2 modes. (3 and 6)
3 has 1 mode.
[ ] set has no modes because this is the empty set.
Conclusion
A is not true. See the example above
B is true. It can have more than 1 mode
C is true for everything but the empty set.
D is simply false.
I think you are intended to pick C, but B is also true. I can't give you just 1 answer. It is a faulty question.
What is the difference of the rational expressions below?
Answer:
in the pic
Step-by-step explanation:
answer A
.....
Help pls ?? I really don’t know what to do
Answer:
The answer is "C" f(x)= x+ 4 and g(x)= x^3 - 1
Step-by-step explanation:
all you have to do is replace the x in "G" with the "F" function
F(x) = x+4 and G(x) = x^3-1
===========================================================
Explanation:
Let's try choice A to see if it works or not
G(x) = (x+4)^3
G( F(x) ) = ( F(x)+4 ) ^3 .... replace every x with F(x)
G( F(x) ) = ( x-1+4 ) ^3 .... plug in F(x) = x-1
G( F(x) ) = (x+3)^3
This isn't the same as (x+4)^3 - 1. You can confirm this with a graph or a table of values. We cross choice A off the list.
------------
Let's try choice B
G(x) = x+4
G( F(x) ) = F(x)+4
G( F(x) ) = x^3-1 + 4
G( F(x) ) = x^3 + 3
Similar to choice A, this isn't the same as (x+4)^3-1. We can cross this off the list as well.
--------------
Now choice C
G(x) = x^3 - 1
G( F(x) ) = ( F(x) )^3 - 1
G( F(x) ) = (x+4)^3 - 1
We found the final answer.
It's estimated that 330 billion photographs are taken each year. If there are 6.9
billion people in the world, how many photos on average is that per person?
[tex]Evaluate \: the \: following \\ (1) \: log1000 \: \\ (2) ( \frac{128}{625} ) \\ (3) log {x}^{2} {y}^{3} {z}^{4} \\ (4) log \frac{ {p}^{2} {q}^{3} }{r} \\ (5) log \sqrt{ \frac{ {x}^{3} }{ {y}^{2} } } [/tex]
[tex]If \: {x}^{2} + {y}^{2} = 25xy. \\ Then \: prove \: that \: \\ 2 log(x + y) = \\ 3 log3 + logx + logy. \: [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \:I \: need \: the \: answer \\ \: \: \: \: \: \: \: \: \: \: \: \: Plz \: fastly \: [/tex]
I need ans !!!!!
Step-by-step explanation:
log1000= log 10³= 3 log10 =3log(128/625)= 7 log 2+ 4 log 5log x²y³z⁴= 2 logx + 3 log y + 4 log zlog p²q³/r= 2 log p +3 log q - log rlog√(x³/y²)=3/2[ log (x)] - log yx²+y²=25xy
(x+y)²-2xy=25xy
(x+y)²= 2xy +25 xy
=27xy
Take log on both sides
2 log(x+y) =log 27 + log x + log y
=log 3³+ log x + log y
2 log(x+y)=3 log 3 + log x + log y
Answer:
(1)
log 1000 = log 10³ = 3 log 10 = 3(2) It should be with log? If yes ignore log x and consider the right side
(128/625) = xlog x = log (128/625)log x = log 128 - log 625log x = 7 log 2 - 4 log 5(3)
log (x²y³z⁴) = log x² + log y³ + log z⁴ = 2 log x + 3 log y + 4 log z(4)
log (p²q³/r) = log p² + log q³ - log r = 2 log p + 3 log q - log r(5)
log [tex]\sqrt{\frac{x^3}{y2} }[/tex] = 1/2 log [tex]x^3y^{-2}[/tex] = 3/2 log x - log y(6)
x² + y² = 25xyx² + 2xy + y² = 27xy(x + y)² = 27xylog (x + y)² = log (27xy)2 log (x + y) = log 3³+ log x + log y2 log (x + y) = 3 log 3 + log x + log yProvedanswer the prompt (correct answer will get brainly)
Answer:
You need to have ur own opinion
Step-by-step explanation:
though i dont understand anything LOL
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 11, 7, 3, ... This is_ sequence and the _ is equal to_
the sequence is arithmetic because it's incrementing by a constant ratio of -4
The sequence 11,7,3,... is arithmetic because there is a constant increase of (-4)
Must click thanks and mark brainliest
EFGH is an isosceles trapezoid and EFGI is a parallelogram. If m∠IEF = 36°, then m∠HGI = ° (Blank 1).
The base angles of an isosceles trapezoid are equal; For EFGI to be a parallelogram, the measure of [tex]\angle HGI[/tex] is: 108 degrees
Given that:
[tex]\angle IEF = 36^o[/tex]
IEF and GHI are the base angles of the trapezoid.
So:
[tex]\angle GHI = \angle IEF = 36^o[/tex]
Also:
[tex]\triangle GHI[/tex] is an isosceles triangle.
This means that:
[tex]\angle GHI = \angle HIG = 36^o[/tex] --- base angles of an isosceles triangle
So:
[tex]\angle GHI + \angle HIG + \angle HGI = 180[/tex] --- sum of angles in a triangle
Substitute known values
[tex]36 + 36+ \angle HGI = 180[/tex]
[tex]72 + \angle HGI = 180[/tex]
Collect like terms
[tex]\angle HGI = 180-72[/tex]
[tex]\angle HGI = 108[/tex]
Learn more about isosceles trapezoids at:
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Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c.
Answer:
c = - 2
Step-by-step explanation:
Given inverse function
[tex]f^{-1}[/tex] (5) = - 1 , then
f(- 1) = 5 , that is
- 2c + c(- 1) - (- 1)² = 5
- 2c - c - 1 = 5
- 3c - 1 = 5 ( add 1 to both sides )
- 3c = 6 ( divide both sides by - 3 )
c = - 2
The slope of the line below is -0.25. Write the equation of the line in point-
slope form, using the coordinates of the labeled point. Do not use parenthesis
on the y side.
1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg
Answer:
i) around 41.7 kg
ii) 72 books
Step-by-step explanation:
i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.
ii) use the same way as above.
Evaluate 29.4 - 33.85.(round to the hundredths place) -4.45 260.15 4.45 63.25
there are 10 marbels in a bag, 4 are multi colored and 6 are solid. what is the probability of picking a solid marble and then another solid marble without replacing the first marble?
Answer:
(2/5) * (3/4) = 3/10 = 0.3