Answer:
Step-by-step explanation:
2⁵ = 2*2*2*2*2
= 32
heyyo does anyone knows how to solve this equation and the answer as well??
Answer:
A
Step-by-step explanation:
tanΘ = [tex]\frac{\sqrt{3} }{3}[/tex] , then
Θ = [tex]tan^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{3}[/tex] ) = [tex]\frac{\pi }{6}[/tex]
since tanΘ > 0 then Θ is in first / third quadrants
Θ = π + [tex]\frac{\pi }{6}[/tex] = [tex]\frac{7\pi }{6}[/tex]
solution is { [tex]\frac{\pi }{6}[/tex] , [tex]\frac{7\pi }{6}[/tex] } in the interval 0 < Θ < 2π
what equation is the following graph
Answer:
y = -1/2x + 1
Step-by-step explanation:
We find slope using rise-over-run and by counting I got 1/2 but the slope is also negative. The y-intercept is 1 because the points are counting by 1/2 and the line goes through where half of 2 is on the y-axis. Hope this helps!
I don't understand this
Answer: (2,1)
Step-by-step explanation:
The two equations given are:
y = 3 -x
y = x - 1
The question is asking to determine the point of intersection for two linear functions aka two lines.
Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.
Add x to both sides to get 2x - 1 = 3Add 1 to both sides to get 2x = 4Divide both sides by 2 to get x = 2Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.
The point of intersection is (2,1).
Hope this helps ^_^
Solve using a proportion.
Blake earns $60 a week mowing lawns. He
saves 30% of what he makes per week and
spends the rest on food. How much does
Blake spend each week on food?
word
well, we know that he makes $60 weekly, that'd be the 100%, we also know that he saves 30% of that and the rest, well, 100% - 30% = 70%, so 70% he spends it on food.
if we take 60 to be the 100%, what is 70% of it?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 60 & 100\\ x& 70 \end{array} \implies \cfrac{60}{x}=\cfrac{100}{70}\implies \cfrac{60}{x}=\cfrac{10}{7} \\\\\\ 420=10x\implies \cfrac{420}{10}=x\implies 42=x[/tex]
Select the expression equivalent to (4.5x + 3.1) - (-3x - 5).
a
7.5x + 1.9
b
7.5x - 1.9
7.5x + 8.1
d.
7.7x - 1.9
Answer:
Option C :- 7.5x + 8.1
Step-by-step explanation:
Let's simplify step-by-step.
4.5x+3.1−(−3x−5)
Distribute the Negative Sign:
=4.5x+3.1+−1(−3x−5)
=4.5x+3.1+−1(−3x)+(−1)(−5)
=4.5x+3.1+3x+5
Combine Like Terms:
=4.5x+3.1+3x+5
=(4.5x+3x)+(3.1+5)
=7.5x+8.1
Answer:
=7.5x+8.1
Help? im confused plss!
Find the area of the regular polygon with the given radius or apothem.
Answer:
okay so think of the polygon as like a rectangle in a way now use the method of finding a area with a triangle
Step-by-step explanation:
A= bxh divide by 2 then A= bxh x 2
it worked for me
Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!
I need help with these questions! Please help me. The choices are all true/false.
Please help me!!!!!!
Please provide in depth explanation too!!
Answer/Step-by-step explanation:
All of the solutions to the equation 3x^2 - 12 = 0 are x = 12 and x = -2
Answer: False
Explanation:
[tex]3x^2-12+12=0+12[/tex]
[tex]3x^2=12[/tex]
[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]
[tex]x^2=4[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{4},\:x=-\sqrt{4}[/tex]
[tex]x=2,\:x=-2[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
There are two unique solutions to the equations (x-3)^2 = 16
Note: Each variable in the matrix can have only one possible value, and this is how you know that this matrix has one unique solution.
Answer: True
Explanation:
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=7,\:x=-1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Ths solutions for the equation 2(x-3)^3 - 18 = 0 are x = 6 and x = 0
Answer: False
Explanation:
[tex]2\left(x-3\right)^3-18+18=0+18[/tex]
[tex]2\left(x-3\right)^3=18[/tex]
[tex]\frac{2\left(x-3\right)^3}{2}=\frac{18}{2}[/tex]
[tex]\left(x-3\right)^3=9[/tex]
[tex]\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]
[tex]=\sqrt[3]{9}+3,\:x=\frac{6-\sqrt[3]{9}}{2}+i\frac{\sqrt[3]{9}\sqrt{3}}{2},\:x=\frac{6-\sqrt[3]{9}}{2}-i\frac{\sqrt[3]{9}\sqrt{3}}{2}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7
Answer: False
Explanation:
[tex]2\left(x-5\right)^2-8+8=0+8[/tex]
[tex]2\left(x-5\right)^2=8[/tex]
[tex]\frac{2\left(x-5\right)^2}{2}=\frac{8}{2}[/tex]
[tex]\left(x-5\right)^2=4[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=7,\:x=3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8
Answer: False
Explanation:
[tex]\left(x+3\right)^2-25+25=-8+25[/tex]
[tex]\left(x+3\right)^2=17[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{17}-3,\:x=-\sqrt{17}-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4
Answer: False
Explanation:
[tex]\frac{2\left(2x-1\right)^2}{2}=\frac{18}{2}[/tex]
[tex]\left(2x-1\right)^2=9[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=2,x=-1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The only solution for equation (2x-1)^2-49=0 is x = 4
Answer: False
Explanation:
[tex]\left(2x-1\right)^2-49+49=0+49[/tex]
[tex]\left(2x-1\right)^2=49[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=4,\:x=-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1
Answer: True
Explanation:
[tex]3\left(x+2\right)^2-3+3=0+3[/tex]
[tex]3\left(x+2\right)^2=3[/tex]
[tex]\frac{3\left(x+2\right)^2}{3}=\frac{3}{3}[/tex]
[tex]\left(x+2\right)^2=1[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=-1,\:x=-3[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x = -6
Answer: True
Explanation:
[tex]5x^2-180+180=0+180[/tex]
[tex]5x^2=180[/tex]
[tex]\frac{5x^2}{5}=\frac{180}{5}[/tex]
[tex]x^2=36[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{36},\:x=-\sqrt{36}[/tex]
[tex]x=6,\:x=-6[/tex]
~Lenvy~
What is the range of this relation?
Answer:
{- 1, 0, 4 }
Step-by-step explanation:
the range is the y- coordinates of the plotted points
the coordinates of the points are
(- 4, - 1 ) , (1, 0 ) , (1, 4 ) with y- coordinates - 1, 0, 4
then range is { - 1, 0, 4 }
?.
7,000 dollars is placed in a savings account with an annual interest rate of 3%. If no
money is added or removed from the account, which equation represents how much
will be in the account after 7 years?
A. M= 7,000(0.03)
B. M= 7,000(1 + 0.03)(1 + 0.03)
C. M= 7,000(1 - 0,03)
D M= 7,000(1.03)
Total Amount on principal 7000dollars at the rate of interest 3% for time period 7years is equals to $8470.
What is simple interest?
" Simple interest is a method of calculating interest on the amount of money deposited for fixed period on fixed rate of interest."
Formula used
[tex]Amount = P ( 1+ rt) \\P= Principal\\r= Rate of interest\\t= time period[/tex]
According to the question,
Given,
Principal 'P' = $7000
Rate of interest 'r'= 3%
Time period 't' = 7years
Substitute the value in the formula to get total amount with interest,
[tex]Amount = 7000 [ 1+ (\frac{3}{100} )(7)][/tex]
[tex]=7000[ 1+ (0.03)(7)]\\=7000(1.21)\\=8470 dollars[/tex]
Hence, the total Amount on principal 7000dollars at the rate of interest 3% for time period 7years is equals to $8470.
Learn more about simple interest here
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Which of the following is not an exponential function?
Answer:
B. y = 5x-1
Step-by-step explanation:
B. y = 5x-1 is not an exponential function.
what is the 100th term in the sequence a¹= 222 and d= -5
The 100th term of the sequence is -273
Arithmetic sequenceArithmetic sequence is one derived from addition/subtraction of a constant term to find the next term. the constant term is usually called the common difference
first term a = 222
common difference, d = -5
nth term of an Arithmetic sequence. Tn = a + ( n - 1 ) d
T100 = a + ( 100 - 1 ) d
T100 = 222 + 99 * -5
T100 = -273
Read more on Arithmetic sequence here:
https://brainly.com/question/7882626
A mirror is in the shape of an isosceles right triangle and has a hypotenuse length of seven times the square root of two. What is the length of one of the legs?
square root of two.
3.5
seven times the square root of two.
7
The length of one of the legs of an isosceles right triangle and has a hypotenuse length of seven times the square root of two is 7 units.
What is an Isosceles triangle?Isosceles triangles are triangles that has two of it sides equal to each other. The base angles of an isosceles triangle are equal.
The isosceles triangle is also a right angle triangle. The hypotenuse is the longest side of a right angle triangle.
Therefore,
hypotenuse = 7(√2)
let the length of the other legs = x
Therefore, using Pythagoras theorem
c² = a² + b²
(7(√2))² = x² + x²
49 × 2 = 2x²
98 = 2x²
x² = 98 / 2
x = √49
x = 7 units
learn more on isosceles triangle here: https://brainly.com/question/10412877
In 2010 Elmbrook Middle School had 100 students in the eighth grade. In 2011 the number of eighth
graders decreased by 10%. The 2012 eighth grade Class increased in size by 10% from 2011. How many
eighth grade students were enrolled at Elmbrook Middle School in 2011
Answer:
90 students
Step-by-step explanation:
So, if you have 100 students to start and it decreases by 10% then take the 100 and multiply it by .10. You should get 10. Then, subtract 10 from 100 and you end up with 90.
Answer:
hello
2010 = 100 students
2011 = 100 x 0.9 = 90
2012 = 90 x 1.1 = 99
Step-by-step explanation:
Is this a function pls someone tell me
The part of the clock that is shaded is_______________________.
A) one-half hour
B) one-quarter hour
C) three-quarters hour
D) one-third hour
Answer:
b) one quarter hour
Step-by-step explanation:
every section is worth 5 minutes, there are three sections, which equals 15 minutes, 15 minutes is a one-quarter hour. hope this helps :)
Answer:
B
Step-by-step explanation:
it Is one quarter of an hour because they are exactly 15 minutes
help using the digits 0 to 9
Answer:
Step-by-step explanation:
Assuming you can use any digit from 0-9
You can do 5% of 260 = 13 . All of which are different digits and not the same
This is true because 260 x .05 = 13
A) fifteen twentieths
B) twelve fifths
C) fifteen fourths
D) eight halves
Hello !
_______
Answer :-C) Fifteen fourths.[tex]\huge {\boxed {\underline{Explanation :}}}[/tex]
[tex]\sf{5 \: x \: \frac{3}{4}[/tex]
_______
[tex]\sf{Apply \: the \: fraction \: rule :} \: a \: ^. \: \frac{b}{c} = \frac{a \: ^. \: b}{c}[/tex]
[tex]\sf{\frac{5x \: ^. \: 3}{4}[/tex]
_______
[tex]\sf{Multiply \: the \: numbers:} \: 5 \: ^. \: 3 = 15[/tex]
[tex]\sf{= \frac{15x}{x}[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Dollixna ~
The amount of time it takes for water to flow down a drainage
pipe is inversely proportional to the square of the radius of the
pipe. If a pipe of radius 1 cm can empty a sink in 22 seconds,
find the radius of the pipe that would allow the sink to drain
completely in 14 seconds.
PLEASE ANSWER FAST!
Using the proportional relationship, it is found that the radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality.
If they are inverse proportional, the relationship is:
[tex]y = \frac{k}{x}[/tex]
In this problem, the amount of time is inversely proportional to the square of the radius of the pipe, hence:
[tex]t = \frac{k}{r^2}[/tex]
A pipe of radius 1 cm can empty a sink in 22 seconds, hence k = 22.
The radius for 14 seconds is:
[tex]t = \frac{k}{r^2}[/tex]
[tex]14 = \frac{22}{r^2}[/tex]
[tex]r^2 = \frac{22}{14}[/tex]
[tex]r = \sqrt{\frac{22}{14}}[/tex]
[tex]r = 1.25[/tex]
The radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.
More can be learned about proportional relationships at https://brainly.com/question/25890103
Derive the equation of the line that goes through (−3, 1) and (0, −5).
A
y=−2x
B
y=2x−5
C
y= −2x−5
D
y=2x+5
Answer:
C) y = -2x - 5
Step-by-step explanation:
[tex]\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)[/tex]
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2[/tex]
Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\sf \implies y-1=-2(x-(-3))[/tex]
[tex]\sf \implies y=-2x-5[/tex]
Slope:-
m=-6/3=-2Equation in point slope form
y-1=-2(x+3)y-1=-2x-6y=-2x-5Please Help I Don't Understand. Thank You!
Answer:
140
Step-by-step explanation:
5t + 10 = 4t + 22
t + 10 = 22
t = 12
5(12) + 10 = 70
4(12)+ 22 = 70
70 + 70 = 140
CP + PK = CK
Edit:
I'm not sure if the solution is correct , but there is at least something.
Now
CK
CP+PK5t+10+4t+229t+329(12)+32108+32140
Each season a baseball pitcher records the number of strikeouts he throws. The sequence below
represents his strikeouts for the first five seasons in the league.
147, 154, 161, 168, 175 If this pattern continues, what explicit formula could be used to determine f(n), the number of
strikeouts he throws during his n th season?
a. f(n) = 147 + 7n
b. f) = 140 + 7)
c. f(n) = 147n + 7
d. f(n) = 140n + 7
Answer:
make the n in side and join together
Find the volume of the cylinder. round to the nearest tenth.
Answer:
3217.00
Step-by-step explanation:
V=πr^2h=π·8^2·16≈3216.99088
Answer:
804.2 or 803.8
Step-by-step explanation:
volume = π · r2 · h
π · [tex]4^{2}[/tex] · 16 = 804.2
3.14 · [tex]4^{2}[/tex] · 16 = 803.8
5x + 2 =3x - 14
Simplify and solve the following
hey
Answer:
x=-8
Step-by-step explanation:
5x-3x=-2-14
2x=-16
x=-8
Which of the following correctly measures the length (in cm) of the green box shown in the image below?
0.920 cm
0.92cm
0.9cm
Answer:
0.92 cm
Step-by-step explanation:
Do not pick 0.920 as it is the same as 0.92 but 0.92 is always the preferable option
The accurate measurement for the length of the green box is indeed 0.92 cm.
To measure the length of the green box accurately, we must carefully analyze the given image. By comparing the green box to the provided scale, we can deduce the correct measurement.
Upon examination, the green box appears to span almost the entirety of the "0.1 cm" scale division and extends slightly beyond it. Given that the box reaches around 9 divisions on the scale, it is reasonable to deduce that its length is 0.92 cm. This is because it's covering 9 divisions of 0.1 cm each, and considering the small extension.
Hence, the accurate measurement for the length of the green box is indeed 0.92 cm. This value takes into account its coverage of 0.9 cm (9 divisions) and a slight extension, aligning with the provided options.
To know more about measurement:
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Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answer:
68 degrees
Step-by-step explanation:
EHD and CHF are vertical angles, meaning their angle measures are the same.
Answer:
m<CHF = 68°
Step-by-step explanation:
Angles EHD and CHF are vertical angles, so their measures are equal.
m<CHF = m<EHD = 68°
what is 2+2+1+3+4+6+8+1 and divided 10 + 4 +3+ 4=
Answer:
9/7
Step-by-step explanation:
2+2+1+3+4+6+8+1/10+4+3+4
Hope this helps!!!
There are 132 sixth-grade students who play basketball, lacrosse, or tennis.
33 students play lacrosse
25% of students play tennis
How many students play basketball?
A 86
B 74
C 72
D 66
Answer:
66
Step-by-step explanation:
Lacrosse: 33
Tennis: 33
0.25 x 132 = 33
Basket ball:?
33 + 33 + b = 132
66 + b = 132
132 - 66 = 66
b = 66
Have a great day!
Please rate and mark brainliest!!
Answer:
D. 66
Step-by-step explanation:
Total number of students = 132
If 25% of 132 students play tennis:
⇒ 0.25 × 132 = 33
So 33 students play tennis
Number of students who play basketball is: total number of students minus students play tennis minus students play lacrosse:
= basketball = 132 - 33 - 33 = 66
261%57 PLEASE HELP (brainlyist) PLEASE HURRY
Answer:
4.57894737
Step-by-step explanation:
261 divided by 57 = 4.57894737
or 4.6 to 1 decimal place
If you need further explanation, let me know!
-profparis
Answer: 4.57894736842
1/2(x-1/6)+2/3=5/6+1/3*(1/2-3x)
Answer:
X= 5/18
Step-by-step explanation:
HELPP!! DUE TONIGHT!! I need answers for A, B, C, and D including the domains of each.
Answer:
[tex]\sf x < \dfrac{16}{7} ,x > \dfrac{16}{7}[/tex]
Step-by-step explanation:
Given function:
[tex]\sf f[g(x)]=\dfrac{-6+23}{7x-16}[/tex]
The domain will be values of x that do NOT make the denominator zero:
[tex]\sf \implies 7x-16=0[/tex]
[tex]\sf \implies 7x=16[/tex]
[tex]\sf \implies x=\dfrac{16}{7}[/tex]
Therefore, the domain is [tex]\sf x\neq \dfrac{16}{7}[/tex] so
[tex]\sf x < \dfrac{16}{7} ,x > \dfrac{16}{7}[/tex]