Answer:
- 6, 9 and 27
Step-by-step explanation:
Substitute a = - 3 into the expressions and evaluate
(a)
2a = 2(- 3) = - 6
(b)
a² = (- 3)² = 9
(c)
3a² = 3(- 3)² = 3(9) = 27
Find the Value of x.
Answer:
x = 91
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
x + 89 = 180
x = 91
How many years will it take $2,000 to grow to $3,300 if it is invested at 4.75% compounded continuously?
Answer:
10.54263764
Step-by-step explanation:
[tex]3300=2000e^{.0475t}\\\\1.65=e^{.0475t}\\\ln(1.65)=.0475t\\.500775288=.0475t\\t=10.54263764[/tex]
Answer:
It will take about 10.5 years for the investment to reach $3,300.
Step-by-step explanation:
Continuous compound is given by:
[tex]\displaystyle A=Pe^{rt}[/tex]
Where P is the principal, e is Euler's number, r is the rate, and t is the time (in this case in years).
Since our principal is $2,000 at a rate of 4.75% or 0.0475, our equation is:
[tex]\displaystyle A=2000e^{0.0475t}[/tex]
We want to find the number of years it will take for our investment to reach $3,300. So, substitute 3300 for A and solve for t:
[tex]3300=2000e^{0.0475t}[/tex]
Divide both sides by 2000:
[tex]\displaystyle e^{0.0475t}=\frac{33}{20}[/tex]
We can take the natural log of both sides:
[tex]\displaystyle 0.0475t=\ln\left(\frac{33}{20}\right)[/tex]
Therefore:
[tex]\displaystyle t=\frac{1}{0.0475}\ln\left(\frac{33}{20}\right)\approx 10.54\text{ years}[/tex]
It will take about 10.5 years for the investment to reach $3,300.
Anita and beth have the same number of trading cards. Anita gives 18 of her cards to beth. As a result, beth has twice as many card as anita does. How many cards did anita have before she gave some away.
Answer:
18
Step-by-step explanation:
if Anita and Beth had the same amount of trading cards this means they each had 18 cards so when Anita gave Beth her cards the number of cards Beth had have been diul ed meaning Beth now has 36 cards while Anita has non
Please help me with this one I seriously suck at math
Answer:
194
Step-by-step explanation:
Rectangles :
7 x 10 = 70
6 x 10 = 60
4 x 10 = 40
Triangles
[tex]\frac{6x4}{2}[/tex] = 12 (two of them = 24)
70 + 60 + 40 + 24 = 194
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec determine the rocket’s maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. graph if possible also
Answer:
Step-by-step explanation:
The easiest way to solve this is with calculus, believe it or not. The position function is
[tex]s(t)=-16t^2+64t[/tex]. The first derivative of this is the velocity function:
v(t) = -32t + 64. From physics, we know that at the max height of an object's path, the velocity is equal to 0, so setting this velocity equation equal to 0 and solving for time, will tell us the time it took to get to the max height (which we don't know yet, but we will in a bit):
0 = -32t + 64 and
-64 = -32t so
t = 2 seconds. It takes 2 seconds to reach a max height. Plugging that 2 in for t in the position function will tell you the max height that corresponds to this time:
[tex]s(2)=-16(2)^2+64(2)[/tex] and
s(2) = 64 feet.
So the max height is 64 feet and it is reached at 2 seconds after launching.
Also from physics we know that at halfway through a parabolic path, which is also the max height, we are halfway through time-wise as well. That means that if it takes 2 seconds to reach the max height from the ground, it will take another 2 seconds to fall to the ground.
So the total time the rocket is in the air is 4 seconds: 2 seconds to reach the max height and another 2 to fall back down.
Answer:
Step-by-step explanation:
Which of the following is an even function?
Answer:
thats right
Step-by-step explanation:
odd functions are ones you flip 180 degrees and get same thing but basically everything else (unless of course it has no symmetry such as sqrt x) should be even (even can also be thought of as bilateral symmetry)
David is paid a salary of $1850 per month. He is also paid time and a half for work in excess of 40 hours a week. He worked 62 hours last week. What is his gross pay?
Answer:
$1,471.5625
Step-by-step explanation:
Monthly salary = $1850
Weekly salary = $1850/4 weeks
= $462.5
Hourly rate = $462.5/40 hours
= $11.5625
Overwork time = 62 hours - 40 hours
= 22 hours
Time and a half = 1.5 times the normal salary
Overwork time payment per hour = 1.5 × $11.5625
= $17.34375
Overwork time payment for 22 hours = 22 × $17.34375
= $381.5625
Last week salary = weekly salary + overtime payment
= $462.5 + $381.5625
= $84.0625
Gross salary for the month = 3 weeks regular salary + last week salary
= (3 × $462.5) + $84.0625
= $1387.5 + $84.0625
= $1,471.5625
What should the following equation be multiplied by in order to eliminate the fractions?
Answer:
6
Step-by-step explanation:
To figure out what needs to be multiplied, we need to find the least common denominator. By finding this, we know that what we multiply the equation with will be a multiple of each denominator, meaning that there will be no fractions left.
We can find the least common denominator by listing multiples of each fraction, and finding which one is the smallest but still in each list.
3: 3, 6, 9, 12...
2: 2, 4, 6, 8...
6: 6, 12, 18, 24...
We can notice that 6 is the lowest number in each list. Therefore, 6 is our least common denominator, and if we multiply by 6, the fractions will be removed.
Answer:
6
Step-by-step explanation:
I took the quiz and got it correct.
Come get your point with me :)
Answer:
IK≅WY
Step-by-step explanation:
if the parent function is y=3^x, which is the function of the graph?
1) y=3^(x-4)-2
2) y=3^(x+4)+2
3) y=3^(x-4)+2
4) y=3^(x+4)-2
find f(-2)for f(x)=5*3^x
f ( - 2 ) = 5 × 3^( - 2 )
f ( - 2 ) = 5 × 1/9
f ( - 2 ) = 5/9
What is the value of the expression shown below?
(3/6) 2 + 7 x 4 -5
A 6 1/4
B 6 1/2
C 23 1/4
D 23 1/2
Answer:
24
Step-by-step explanation:
(3/6) 2 + 7 × 4 - 5
0.5 × 2 + 7 × 4 - 5
1 + 7 × 4 - 5
1 + 28 - 5
29 - 5
24
Prove That
cot 2A + tan 2A cot 2A-tan 2A = sec 4A
Answer:
*Refer the graph
Step-by-step explanation:
Blue : y= cot 2A + tan 2A cot 2A-tan 2A
domain a ≠ kπ/4
Yellow : y= sec 4A
domain a ≠ π/8 + kπ/4
vertical intercept (0,1)
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
what is lockdown
what is lockdown
Answer:
lockdown is a restriction policy for people or community to stay where they are, usually due to specific risks to themselves or to others if they can move and interact freely.
lockdown is when a country or a state closes and prevent entry or exit from one state or country to another in order to avoid the spread of for example a disease.
[tex]solve : - \\ \\ (10 {}^{2} - 6 {}^{2} ) = {?}[/tex]
[tex]\longrightarrow{\blue{64}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] = (10 {}^{2} - 6 {}^{2} ) [/tex]
[tex] = [(10 \times 10) - (6 \times 6)][/tex]
[tex] = (10 0- 36)[/tex]
[tex] = 64[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Can someone help me with this math homework please!
Answer:
same after 3 years
because .............................
Answer:
The populations of orangutans will be same after 3 years
Step-by-step explanation:
Let the populations or orangutans is the same after n years
Decrease in population of oragnutans in the first study
=784-25n=784−25n
Decrease in population of oragnutans in the second study
=817-36n=817−36n
According to the question
784-25n=817-36n784−25n=817−36n
\implies 36n-25n=817-784⟹36n−25n=817−784
\implies 11n=33⟹11n=33
\implies 11n=33⟹11n=33
\implies n=\frac{33}{11}⟹n=
11
33
\implies n=3\text{ years}⟹n=3 years
Therefore, the populations of orangutans will be equal after 3 years
Hope this is helpful.
I need help in these questions please !
Answer:
b,b.a
Step-by-step explanation:
Find the last digit of the number 41875 * so that it is divisible by 18.
Answer: 2.
Step-by-step explanation:
if you were to divide 418752 by 18 you would get a clear (without decimal) number, that would equal 23264
Can someone help me explain this question? :( I have to record myself answering it and send it to my teacher
What is the effect on the graph of f(x) if it is changed to f(x) + 7, f(x + 7) or 7f(x)?
Step-by-step explanation:
The function f(x)+7 will shift the parent function up 7 units.
The function f(x+7) will shift the parent function to the left 7 units.
The function 7f(x) will stretch vertically by a factor of 7.
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
Can someone help with this problem
Step-by-step explanation:
x+35+25=180
x+60 =180
x = 120.
y+x =18
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
2/3.
Step-by-step explanation:
.
Answer:
Solution given:
the relationship between perpendicular and base is given by tan angle
Tan 60=opposite/Adjacent
[tex]\sqrt{3}[/tex]=x/3
x=[tex]3\sqrt{3}[/tex]
The value of x is [tex]3\sqrt{3}[/tex]
What is the vertex of the function?
Consider the quadratic function:
f(x) = x2 - 8x - 9
Vertex: (zo
(2)
Answer:
(4 , -25)
Step-by-step explanation:
that is the procedure above
the vertex of the parabola is calculated by the formula
[tex]\displaystyle\ ax^2+bx+c\quad ;\quad \boxed{x_0=\frac{-b}{2a} \ \ ;\quad y_0 =ax_0^2+bx_0+c} \\\\x_0=-\frac{-8}{2} =4 \quad ; \ \ y_0 =16-32-9=-25 \\\\\ \ Answer: Coordinates \ \ of \ the \ vertex \ of \ the \ \ parabola \ \ (4;-25)[/tex]
i need help in this question that is in the photo
A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice. How many cases of soya bean drink have the same volume as one cases of fruit juice.
Answer:
2 cases of soya bean milk will have the same volume as 1 case of fruit juice.
Step-by-step explanation:
Let the case of soya beans drink be x and let the case of fruit juice be y
We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.
This means that;
10x + 8y = 4x + 11y
Rearranging, we have;
10x - 4x = 11y - 8y
6x = 3y
Thus;
y = 6x/3
y = 2x
This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.
A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much money would it cost to fill the entire tank?
A. $65,280
B. $68,000
C. $5,440
D. $67,200
Answer:
Option A, $65,280
Step-by-step explanation:
The volume of the tank is,
12×20×15+40×(50-15)×12
= 3600+16800
=20400 cubic meters
For each cubic meter, it costs $3.20, so for 20400 cubic meters it'll cost,
20400×$3.20
= $65,280
Answered by GAUTHMATH
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
Solution given:
Relationship base and hypotenuse is given by Cos angle
Now
Cos 60°=adjacent/hypotenuse=x/12
1/2=x/12
x=12/2
x=6
the value of x is 6.
Decrease £19064.67 by 9.5%
Give your answer rounded to 2 DP. (decimal place)
Please Help !!!
Multiply the amount by 9.5% then subtract.
19064.67 x 0.095 = 1,811.14
Now subtract:
19064.67 - 1811.14 = 17253.53
The answer is £17,253.53
. Out of 140 students, 50 passed in English and 20 passed in both Nepali and English. The number of students who passed in Nepali is twice the number of students who passed in English. Using a Venn-diagram, find the number of students who passed in Nepali only and who didn't pass in both subjects.
Answer:
80 ;
10
Step-by-step explanation:
Given :
Total number of students = μ = 140
Let :
Number of students who passed in English = E
Number of students who passed in Nepali = N
n(NnE) = 20
n(E) only = n(E) - n(NnE) = 50 - 20 = 30
Students who passed English only = 30
Number of students who passed in Nepali is twice the number who passed in English
n(N) = 2 * n(E) = 2 * 50 = 100
Number of students who passed in Nepali only
n(N) only = n(N) - n(NnE) = 100 - 20 = 80
Students who passed Nepali only = 80
The number who didn't pass both subjects :
μ - (English only + Nepali only + English and Nepali)
140 - (30 + 80 + 20)
140 - 130
= 10
