Answer:
1/6x -1
Step-by-step explanation:
"Simplify" generally means, "eliminate parentheses and combine like terms." In general, parentheses are eliminated by making use of the distributive property.
__
[tex]\dfrac{2}{3}x-\left(\dfrac{1}{2}x+1\right)=\dfrac{2}{3}x-\dfrac{1}{2}x-1=\left(\dfrac{2}{3}-\dfrac{1}{2}\right)x-1\\\\=\left(\dfrac{4}{6}-\dfrac{3}{6}\right)x-1=\boxed{\dfrac{1}{6}x-1}[/tex]
The two trolleys move at a constant velocity what is the magnitude of the acceleration of each trolleys
Answer:
0
Step-by-step explanation:
A constant velocity means no speeding up or slowing down. So the acclereation will be 0.
I realy have been struggling to pay attention in class due to some personal reason so i would realy realy realy appreciate if someone could take a sec out of there day to help me with this... And yes i am aware i should be able to find this easy but no cap i actual cant.
Answer:
Put it after Russian
Step-by-step explanation:
Also here is some information to help you with commas:
Use a comma after an introductory clause or phrase. ...
Use a comma between all items in a series. ...
Use commas to set off nonrestrictive clauses. ...
Use a comma to set off appositives. ...
Use a comma to indicate direct address. ...
Use commas to set off direct quotations.
Answer:
ended,
Step-by-step explanation:
I believe the comma should come after the word, "ended" in the first sentence
What is the measure of the unknown angle?
Answer:
63
Step-by-step explanation:
a entire circle is 360⁰
so you do:
360-297
Answer:
I think its 63
Step-by-step explanation:
Sry if I am wrong. :\
The ratio of hot dogs to hamburgers is 26:13. If the total number of lunch items is 117 how many hamburgers are there?
If the total number of lunch items is 117, there will be 39 hamburgers there
Ratio and proportionFractions are written as a ratio of two numbers
Given
Total items = 117
If the ratio of hot dogs to hamburgers is 26:13, then the total hamburgers that are there is given as:
Hamburgers = 13/39 * 117
Hamburgers = 39
This shows that if the total number of lunch items is 117, there will be 39 hamburgers there
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If ∠A and ∠B are complementary angles and m∠B = 68°, find m∠A.
Answer:
∠A = 22°
Step-by-step explanation:
complementary angles is either of two angles whose sum is 90°
∠A + ∠B = 90°
m∠B = 68°
∠A + 68° = 90°
subtract 68 from both sides
∠A + 68° - 68 = 90° - 68
∠A = 22°
Answer:
22°
Step-by-step explanation:
complementary angles sum up to 90°M<A+M<B= 90° ( complementary angles)
M<A+ 68° = 90°
M<A = 90-68= 22°
M<A= 22°
Find the value of x to 2dp in the equation 2x² + 5x = 9
Answer:
where x1=-3.71 and x2=1.21
Step-by-step explanation:
first= 2x+5x-9=0, a=2,b=5,c=-9, x=
[tex] \sqrt{ {5 }^{2} } - 4 \times 2( - 9) \: over4[/tex]
second x=
[tex] \sqrt[ - 5 + ]{25 + 72} over4[/tex]
x=
[tex] \sqrt[ - 5 +4 ]{97} [/tex]
[tex] \sqrt[ - 5 - 4]{97} [/tex]
hhhhhhelp me pleaseeeeeeeeeeeeeeeeeeee
Answer:
2/9
Step-by-step explanation:
First, square the fraction 5/6 to get 1/2 * 25/36 - 1/8. Next, multiply 1/2 and 25/36 to get 25/72. Finally, subtract 1/8 to get the answer 2/9.
Answer:
2/9
Step-by-step explanation:
=> 1/2 (5/6)^2 - 1/8
=> 1/2 (25/36) - 1/8
=> 25/72 - 1/8
=> make 1/8 to have a denominator of 72.
=> multiply the numerator and denominator by 9/9
=> 1/8 becomes 9/72
soo
=> 25/72 - 9/72
=> 16/72
^the greatest common factor is 8
=> 2/9
2/9 is your answer :)
What is the 10th term of the sequence 12, -60, 300
Answer:
-1500
Step-by-step explanation:
the answer is 300 x - 5
Please help and thank you.
Answer: x = 20
Step-by-step explanation:
Let's add what it tells us to the picture. See attached. Since the angles boxed in green are congruent, we can set them equal to each other and solve for x.
3x - 10 = 2x + 10
3x - 20 = 2x
-20 = -x
20 = x
x = 20
PLEASE HELP
USING THE LAW OF SINES
The third angle of the triangle will be ∠B = 69°.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given that:-
Two angles are ∠A = 43° and ∠C=68°The third angle will be calculated as:-
∠A + ∠C + ∠B = 180
43 + 68 + ∠B = 180
∠B = 180 - 43 - 68
∠B = 69°
Therefore the third angle of the triangle will be ∠B = 69°.
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Which data values are outliers for this data? What is the effect of the outlier(s) on the mean? Explain.
Answer:
working on it
Step-by-step explanation:
Pls help me and show work! Thank you <3
Answer: 12
Step-by-step explanation:
By the corresponding angles theorem, [tex]4x-5=97-2x \longrightarrow x=17[/tex].
So, this means that [tex]97-2x=63[/tex].
Now, by the same-side interior angles theorem, we know that [tex]10y-3+63=180 \longrightarrow y=\boxed{12}[/tex]
Josephine owns a diner that is open everyday for breakfast, lunch, and dinner. She offers a regular menu and a menu with daily specials. She wanted to estimate the percentage of her customers who order specials
Answer: The sample might not be a representative of the population because it only included lunch customers.
Step-by-step explanation:
Answer:
The sample might not be representative of the population because it only included lunch customers.
Step-by-step explanation:
Since she is only picking lunch customers and not breakfast and dinner it doesn't show all the people only the people who order lunch
What is the mean of a discrete random variable?
Answer:
Discrete probability distribution
Step-by-step explanation:
A weighted average of the possible values that random a valuable can take
which scatterplot shows a nonlinear association?
Answer:
A
Step-by-step explanation:
bc it look goofy dawg. B C and D all have a pattern but A has like no attern dawg
Answer: A.
Step-by-step explanation: Because the dots are everywhere.
PLEASE HELP 10 MINUTES
Answer:
A
Step-by-step explanation:edg
Help pls (picture included)
Answer:
16x^2 - 9 = 0
(4x)^2 - 3^2 = 0
a^2 - b^2 = (a - b) (a + b)
Hence, (4x - 3) (4x + 3) = 0
Either (4x - 3) = 0 or (4x + 3) = 0
4x = 3 or 4x = -3
x = 3/4 or x = -3/4
Precalculus. Please look at the picture
Show steps
Radioactive Cesium 137 was released into the waters off the coast of Japan and continues to leak into the Pacific Ocean. Considering that the half-life of Cesium is λ =30.17 years, create an exponential model, y=aert use it to make some predictions
y= Aert
Answer:
Exponential model
[tex]y=Ae^{rt}[/tex]
where:
y = value at "t" timeA = initial valuer = rate of growth/decayt = time (in years)Part (a)Given:
y = 100 gt = 0 yearsSubstituting given values into the formula and solving for A:
[tex]\begin{aligned}y & =Ae^{rt}\\\implies 100 & = Ae^{r \times 0}\\100 & = Ae^0\\100 & = A(1)\\A & = 100\end{aligned}[/tex]
Part (b)Given:
A = 100 gy = 50 g when t = 30.17Substituting the given values into the equation and solving for r:
[tex]\begin{aligned}y& =Ae^{rt}\\\\\implies 50 & =100e^{30.17r}\\\\\dfrac{1}{2} & = e^{30.17r}\\\\ln \dfrac{1}{2} & = \ln e^{30.17r}\\\\\ln 1-\ln2 & =30.17r \ln e\\\\0-\ln 2 & =30.17r(1)\\\\-\ln 2 & =30.17r\\\\r & = \dfrac{-\ln 2}{30.17}\end{aligned}[/tex]
Therefore, the final equation is:
[tex]y=100e^{\left(-\dfrac{\ln 2}{30.17}\right)t}[/tex]
Question 1Part (a)
Q: From 100g how much remains in 80 years?
[tex]\begin{aligned}t=80 \implies y & =100e^{\left(-\dfrac{\ln 2}{30.17}\right)80}\\& = 15.91389949 \: \sf g\end{aligned}[/tex]
Part (b)
Q: How long will it take to have 10% remaining?
10% of 100 g = 10 g
[tex]\begin{aligned}y=10 \implies 10 & =100e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\dfrac{1}{10} & =e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\ln \dfrac{1}{10} & =\ln e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\ln 1 - \ln 10 & =\left(-\dfrac{\ln 2}{30.17}\right)t\ln e\\\\0 - \ln 10 & =\left(-\dfrac{\ln 2}{30.17}\right)t(1)\\\\-\ln 10 & =\left(-\dfrac{\ln 2}{30.17}\right)t\\\\t & = \dfrac{- \ln 10}{\left(-\dfrac{\ln 2}{30.17}\right)}\\\\t & = 100.2225706\: \sf years\end{aligned}[/tex]
Question 2Part (a)
Q: How much remains after 50 years (time)?
[tex]\begin{aligned}t=50 \implies y & =100e^{\left(-\dfrac{\ln 2}{30.17}\right)50}\\& = 31.70373153 \: \sf g\end{aligned}[/tex]
Part (b)
Q: How long to reach 20 g (amount remaining)?
[tex]\begin{aligned}y=20 \implies 20 & =100e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\dfrac{1}{5} & =e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\ln \dfrac{1}{5} & =\ln e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\ln 1 - \ln 5 & =\left(-\dfrac{\ln 2}{30.17}\right)t\ln e\\\\0 - \ln 5 & =\left(-\dfrac{\ln 2}{30.17}\right)t(1)\\\\-\ln 5 & =\left(-\dfrac{\ln 2}{30.17}\right)t\\\\t & = \dfrac{- \ln 5}{\left(-\dfrac{\ln 2}{30.17}\right)}\\\\t & = 70.05257062\: \sf years\end{aligned}[/tex]
Two angles are complementary. One angle is 30 more than the other angle. Find the value
of both angles.
Answer:
α=30, β=60
Step-by-step explanation:
we have angles α and β where α + β =90 & β=α+30
this gives us a system of equations that can be solved through substitution
[tex]\alpha +\beta =90\\\beta =\alpha +30[/tex]
substitute to solve for α: α+(α+30)=90
2α+30=90
2α=60
α=30
substitute α to find β:
β=α+30
β=(30)+30 = 60
The price of a computer component is decreasing at a rate of 15% per year. If the component cost $70 today, what will it cost in tree years?
Answer:
38.50
Step-by-step explanation:
thirty-eight dollars and fifty cents
PLS HELP
SET UP THE EQUATION NEEDED TO SOLVE:
You place $700 in a bank to be compounded quarterly at 5%. How long will it take for the account to be worth $1500 if no additional
money is added?
A 1500 = 700 (1 + .05/4) ^4x
B 1500 = 700 (1 + .05/4) ^x
C 1500 = 700 (1 + 5/4) ^4x
D 1500 = 700 (1 + .05) ^4x
Answer:
A
Step-by-step explanation:
Compound Interest Formula :
A = P (1 + r/n)^(nt)A = amount with interestP = Principal amountr = rate (in decimal)n = amount of times compoundedt = number of yearsHere, we are given :
P = 700r = 5% = 0.05n = 4 (quarterly means 4 times a year)A = 1500Substituting the given values and taking x in place of t :
1500 = 700(1 + .05/4)^4xOption AWhich amount of money is closest to the 15% tip?
$3.00
$3.50
$4.00
$4.50
I need help with this cause I wasn’t at school the day we took notes for this!!
Answer:
1. draw a parallelogram, 2. draw an isoceles triangle (a dash on 2 of the traingles lines to show its equal), 3. equilateral pentagon (a dash on all sides), 4. equilateral octogon (draw dashes on all and draw arrows on pair of parallel sides from 1 arrow to 4 arrows)
Step-by-step explanation:
When StartFraction 2 x squared Over y EndFraction = StartFraction w + 2 Over 4 EndFraction is solved for w, one equation is w = StartFraction 8 x squared Over y EndFraction minus 2 Which of the following is an equivalent equation to find w? w = StartFraction 8 x squared + 2 y Over y EndFraction w = StartFraction 8 x squared minus 2 y Over y EndFraction w = 8 x squared minus 3 y w = 8 x squared minus y
Answer:
[tex]w=\dfrac{8x^2-2y}{y}[/tex]
Step-by-step explanation:
Question[tex]\textsf{When}\:\dfrac{2x^2}{y}=\dfrac{w+2}{4}\:\textsf{is solved for}\:w,\:\textsf{one equation is}\:w=\dfrac{8x^2}{y}-2[/tex]
Which of the following is an equivalent to find w?
[tex]w=\dfrac{8x^2+2y}{y}[/tex]
[tex]w=\dfrac{8x^2-2y}{y}[/tex]
[tex]w=8x^2-3y[/tex]
[tex]w=8x^2-y[/tex]
Solution[tex]\textsf{Given}: \quad w=\dfrac{8x^2}{y}-2[/tex]
[tex]\implies w=\dfrac{8x^2}{y}-\dfrac{2y}{y}[/tex]
[tex]\implies w=\dfrac{8x^2-2y}{y}[/tex]
The solution for w is [tex]w=\frac{2(4x^2-y)}{y}[/tex] in the equation [tex]\frac{2x^2}{y} = \frac{w+2}{4}[/tex] obtained by isolating the variable term w.
The given equation is[tex]\frac{2x^2}{y} = \frac{w+2}{4}[/tex]
We need to solve for w:
To do this we have to isolate the term with w.
Apply cross multiplication:
[tex]8x^2 = y(w+2)[/tex]
Divide both sides by y:
[tex]\frac{8x^2}{y}=w+2[/tex]
Subtract 2 from both sides:
[tex]\frac{8x^2}{y}-2=w[/tex]
[tex]\frac{8x^2-2y}{y}=w[/tex]
[tex]\frac{2(4x^2-y)}{y}=w[/tex]
Hence, the solution for w is [tex]w=\frac{2(4x^2-y)}{y}[/tex].
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Complete question:
Find the solution for w in the equation [tex]\frac{2x^2}{y} = \frac{w+2}{4}[/tex] ?
please help pleaseeee
A) The first option
Hope this helps!
PLEASE HELP! Observe the following quadrilaterals. They each have been labeled with a specific name. Determine if the quadrilateral was given the correct name and explain your reasoning below each quadrilateral
Answer:
Rectangle:
A rectangle has 4 interior 90° angles and 2 sets of parallel sides (11.2,11.2 and 9.6,9.6) so therefore it was correctly named
Rhombus:
Opposite angles in a rhombus are equal (102° and 102° and 78° and 78°)
and has two pairs of parallel sides; one of these pairs being diagonal lines (13.2,13.2)
Here is a picture of a cube, and the net of this cube.
What is the surface area of this cube?
Enter your answer in the box.
mm²
Answer:
60 ft²
Step-by-step explanation:
in a cube all sides are congruent so you take one measurement and multiply it by the number of sides, so you do 12 × 6 equals 60.
Solve the system of equations -x + 4y = 6 and 4x – 8y = 0 by combining the equations.
(- x +4y =6)
(4x -8y =0)
-x + 4y = 6
4x - 8y = 0
Answer:
x=6 y=3
Step-by-step explanation:
Isolate x for -x+ 4y = 6: x= -6+ 4y
Substitute x = -6 + 4y
4(-6+ 4y) - 8y = 0
Simplify
-24+ 8y =0
Isolate y for -24 + 8y = 0: y =3
For x = -6+ 4y
Substitute y =3
X= -6+ 4 × 3
Simplify
X=6
The solutions to the system of equations are:
x=6 y=3
Find the surface area and volume.
Answer:
surface area=2816 m² & volume =205.33m³
Step-by-step explanation:
here
diameter of base (d) -28 m
radius(r) = d/2=14 m
vertical height of cone (h)-48 m
slant height of cone (l)-50 m
surface area (TSA)-?
volume (v)-?
we know
TSA=(pie*r*l)+pie*r*r
=pie*r(l+r)
=22/7* 14(50+14)
=22*2(64)
=22*128
=2816 m²
again
v=1/3 pie*r*r
=1/3*22/7*14*14
=1/3*22*2*14
=205.33 m³
Which of the following is not
necessarily true for all rectangles.