Answer:
10 ml
Step-by-step explanation:
500 mg / ( 250 mg /5 ml) = 10 ml
You are a financial advisor. You have a client who is 25 years old and has
$10,000 they want to invest into a retirement account. After investing
this money, the client will not be adding any money to the account. The
money will just let it grow until the client reaches age 65. As you are
helping them decide the best investment for their money, you discover the
following options:
-
Account A pays 7% annual interest, compounded quarterly
-
Account B pays 6.8% annual interest com[ounded monthly
-
Account c pays 7.1% annual interest, compounded yearly.
-
Account D ay 6.9% annual interest, compounded daily.
Since it’s your job to determine the best account for your clients money,
you have to figure out the future value of her money.
You know that the following formula calculates compound interest
Answer:
The first option is the best
Step-by-step explanation:
1 (1+ 07/4)^4 = 7.186 % annual
2 ( 1+.068/12)^12 = 7.0159 % annual
3 7.1 %
4 (1 + .069/365)^365 = 7.143
given this system of linear equation by appliying inverse method find the unknown variables for 2x+3y=4 x+2y=2
1.Use the diagram to the right to answer the following questions: Person has a mass of 100 kg
1.Calculate the person’s gravitational potential energy before they jump off the platform. SHOW WORK!
2.Calculate the person’s gravitational potential energy when they reach the trampoline on the ground. SHOW WORK!
3.Calculate the person’s gravitational potential energy when they bounce up to their final position. SHOW WORK!
Answer:
See below ~
Step-by-step explanation:
#1)
Gravitational Potential Energy = mgh100 x 9.8 x 109800 J9.8 kJ#2)
mgh100 x 9.8 x 00 J#3)
mgh100 x 9.8 x 549 x 1004900 J4.9 kJplease help i don't get this.
Help Asap.
Pleaseeee
Answer:
the expression is equal to 40
Step-by-step explanation:
When given a= 5 and b=2, you can change your expression to read
3+11(5)-9(2)
All you have to do is simplify and you are given 40 :)
A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 units, how long is segment EF?
Answer: EF= 16 units
Step-by-step explanation:
I took the test and also EF has to be greater just by looking at the triangle.
A small tree was planted at a height of 9 feet. The tree has been planted for 14 months, and is now 58 feet tall. Which equation could be used to find x, the average number of feet the tree grew each month?
A.
14x + 58 = 9
B.
9x + 14 = 58
C.
14x + 9 = 58
D.
58x + 9 = 14
the anwer to your question is very ieasy it's b
Need Help Solving Please and thank you
[tex]a = \frac{(9.5 + 23.1) \times 5.8}{2} \\ [/tex]
[tex]a = \frac{32.6 \times 5.8}{2} \\ [/tex]
[tex]a = 16.3 \times 5.8[/tex]
[tex]a = 94.54 \: \: {m}^{2} [/tex]
Two gears are connected by a chain. The larger gear has a linear velocity of 17π/6 inches per second. The angular velocity of the smaller gear is 34π/3 radians per minute.
What is the radius of the smaller gear?
1.25 feet
1.5 feet
15 feet
18 feet
So
[tex]\\ \rm\Rrightarrow v=r\omega[/tex]
v is linear velocityomega is angular velocity[tex]\\ \rm\Rrightarrow r=\dfrac{v}{\omega}[/tex]
[tex]\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\div\dfrac{34\pi}{3}=\dfrac{17\pi}{6}\times \dfrac{3}{34\pi}[/tex]
[tex]\\ \rm\Rrightarrow r=\dfrac{1}{4}[/tex]
[tex]\\ \rm\Rrightarrow r=0.25ft[/tex]
Convert to ft
0.25(3)=0.75ft1 min=60s
Hence
34π/3×60=34π×20=680πSo
[tex]\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\times \dfrac{1}{680\pi}[[/tex]
[tex]\\ \rm\Rrightarrow r=\dfrac{1}{40}[/tex]
[tex]\\ \rm\Rrightarrow r=0.025in[/tex]
Convert to ft
0.025(12)0.3ftNone of the above
The radius of the smaller gear is 15 feet, Option C is correct.
What is Velocity?Velocity is defined as the rate of change of distance of a body with respect to time
We can use the relationship between linear velocity and angular velocity for gears to solve this problem:
v = rω
where v is the linear velocity, r is the radius of the gear, and ω is the angular velocity.
We are given the linear velocity of the larger gear, which is 17π/6 inches per second.
v = 17π/6 inches per second
ω = (34π/3) / 60 radians per second
the radius of the smaller gear is:
r = v / ω
= (17π/6) / ((34π/3) / 60)
= 17π/6×60/(34π/3)
=17π/6×60×3/34π
= 1/6 ×60× 3/2
= 180/12
=15 feet
Hence, the radius of the smaller gear is 15 feet.
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Solve the following 3b/7-1=5
b = 14
Step-by-step explanation:
3b/7 - 1 = 5
+1
3b/7. = 6
x7
3b. = 42
÷3
b = 14
Hope this helps!
A group of four numbers has an average of 14. The first three numbers are 11, 12 and 17. What's the missing number?
Answer:
16
Step-by-step explanation:
So if 4 numbers have an average of 14, that means to find the sum of all 4 numbers, you work backwards & multiply 4x14 to get 56.
Then 56-the sum of the 3 numbers you already have (11+12+17=40)
56-40=16
To double check, to find the average of 4 numbers that total 56, you divide 56 by 4 & get 14
Select the correct answer.
Which expression is equivalent to the given expression?
URGENT 40 POINTS PLS HELP ME
Answer:
12
Step-by-step explanation:
multiply 50 by 6 to get to 300
then 6 by 2 and you get 12
Answer:
B. 12
Step-by-step explanation:
The table shows the results after 50 spins; believing the results to be consistent, we would multiply the results by 6 to estimate the results after the spinner is spun 300 times.
I hope this helps.
The ratio of boys to girls in the school
band is 4:3. If there are 16 boys, how
many boys and girls are in the band?
A. 12
B. 28
C. 7
D. 21
Answer:
B. 28
Step-by-step explanation:
boy to girls
4:3 to 16:?
4x4=16
so you would do
3x4=12
Now add them, 16+12=28
What is the solution? ABCD
please give some explanation
[tex] \cos(x) ( \tan(x) - \sqrt{3} ) = 0[/tex]
[tex] \cos(x) ( \frac{ \sin(x) }{ \cos(x) } - \sqrt{3} ) = \\ [/tex]
Thus :
[tex] \cos(x) = 0 \: \: \: or \: \: \: \tan(x) - \sqrt{3} = 0[/tex]
Over interval [0 , 2pie ) :
[tex] \cos(x) = 0[/tex]
[tex]x = \frac{\pi}{2} , \frac{3\pi}{2} \\ [/tex]
And[tex] \tan(x) - \sqrt{3} = 0[/tex]
[tex] \tan(x) = \sqrt{3} [/tex]
[tex]x = \frac{\pi}{3} ,\pi + \frac{\pi}{3} \\ [/tex]
[tex]x = \frac{\pi}{3} , \frac{4\pi}{3} \\ [/tex]
____________________________________________
Thus the solutions are :
[tex] \frac{\pi}{3} , \frac{\pi}{2} , \frac{4\pi}{3} , \frac{3\pi}{2} \\ [/tex]
As u can see the first option is the correct answer .
And we're done....
Have a great day ♡♡♡♡♡find the square simplify your answer:
(2g-9h)²
Answer:
4g² - 36gh + 81h²
Step-by-step explanation:
Apply the perfect square formula: (a - b)² = a² - 2ab + b²
(2g - 9h)² = (2g)² - 2(2g)(9h) + (9h)²
Simplify:
2g² = 4g²
-2 · 2g = -4g · 9h = -36gh
9h² = 81h²
= 4g² - 36gh + 81h²
hope this helps!
What is 14.47 rounded to the nearest whole number
Answer:
14.47 rounded to the nearest whole number is 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
4 is less then 5 so you do not need to go up!
for which value of x is the row in the table of values incorrect? The function is the quadratic function y=-1/2x^2
x = 3
x = 2
x = 0
x = 5
Answer:
x = 5
Step-by-step explanation:
For x = 5, value of y should be [tex]-12\frac{1}{2}[/tex]
Hope it helps you in your learning process.
HELP PLEASE!!!!!! Only 5 more minutes till i turn it in!!!
I'LL GIVE BRAINLEIST!!!
And 15 points!!
Answer:
<B = 70°
Step-by-step explanation:
First we need to find x, lets plugin these two equations.
2x - 30 = x + 20
Then find like terms
2x = x + 50 =
x = 50
Then we plugin 50 for x
2(50) - 30 =
100 - 30 = 70
<B = 70°
Hi!
The Triangle Angle Sum Theorem states that the sum of the interior angles in all triangles will always be 180 degrees.
We can set up an equation with the given information:
40 + (2x - 30) + (x + 20) = 180
Remove parentheses:
40 + 2x - 30 + x + 20 = 180
Combine like terms:
30 + 3x = 180
Subtract 30 from both sides:
3x = 150
Divide both sides by 3:
x = 50
Now, the problem wants us to solve for angle B.
Angle B is (2x - 30) degrees. We know the value of x, so we just have to substitute:
(2x - 30)
(2(50) - 30)
100 - 30
70
Therefore, angle B is 70 degrees.
can someone please help me with this question
Area = pi x r^2
R is radius which is 1/2 the diameter
r = 18/2 = 9
area = 3.14 x 9^2
Area = 254.34 mm^2
I have a 97 and if I make a 0/300 on a project what will my grade be?
Answer:
If it’s 10%, 90x.90 plus 0x.10 = 81.If it’s 15%, 90x.85 plus 0x.15= 76.5If it’s 20%, 90x.80 plus 0x.20= 72.If it’s 25%, 90x.75 plus 0x.25= 67.5If it’s 30%, 90x.70 plus 0x.30= 63.If it’s 40%, 90x.60 plus 0x.40= 54.If it’s 50%, 90x.50 plus 0x.50= 45.
Step-by-step explanation:
Taylor makes $12 an hour working at McDonalds. She currently has $94 in her bank account. She would like to buy a new pair of Airpods for $250. How many hours will she need to work to buy the Airpods? Select the equation that represents the story. Select the amount of hours she will need to work
Answer:
12h+94=250, she will need to work 13 hours.
Step-by-step explanation:
we subtract 94 from 250, 250-94=156then we divide it by 12 which equals 13, 13=h.
Given f(x) = (x + 1)(x-2)(x + 3), what are the zeros and end behavior of the function? O 1.-2. 3. continues downward to the left and upward to the night 0-1.2.-3. continues downward to the left and upward to the right O-1.2.-3. continues upward to the left and downward to the night O 1.-2.3. continues upward to the left and downward to the night
Answer:
zeros are at x = -1, x = 2 and x = -3
continues downward to the left and upward to the right
Step-by-step explanation:
Given function:
f(x) = (x + 1)(x - 2)(x + 3)
The zeros are when f(x) = 0
⇒ (x + 1)(x - 2)(x + 3) = 0
⇒ (x + 1) = 0 ⇒ x = -1
⇒ (x - 2) = 0 ⇒ x = 2
⇒ (x + 3) = 0 ⇒ x = -3
Therefore, the zeros are at x = -1, x = 2 and x = -3
If we expand the brackets of the function we get:
f(x) = (x + 1)(x - 2)(x + 3)
= (x + 1)(x² + x - 6)
= x³ + 2x² - 5x - 6
As the leading coefficient (the coefficient of x³) is positive, the end behavior of the function is:
[tex]f(x) \rightarrow + \infty, \textsf{as } x \rightarrow + \infty[/tex]
[tex]f(x) \rightarrow - \infty, \textsf{as } x \rightarrow - \infty[/tex]
So the correct option is:
"continues downward to the left and upward to the right"
Which ordered pairs show that the relation is not a function?
(0,0)(3,3)
(1,3)(1,4)
(1,3)(4,1)
(3,3)(1,3)
Answer:
(1,3)(1,4)
Step-by-step explanation:
One input cannot have two outputs so one x-value cannot have two y-values.
What would be the answer to this question? I cannot figure it out.
Answer:
Step-by-step explanation:
64 [tex]s^{12}[/tex] - 125 [tex]y^{30}[/tex] = [tex]2^{6}[/tex] [tex]s^{12}[/tex] - 5³ [tex]y^{30}[/tex] = ( 2² [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³ = ( 4 [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³
a jar contains 5 blue marbles, 7 yellow marble, and 8 green marbles. what is the probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble
Answer:
10.526% or 0.10526
Step-by-step explanation:
The probability of choosing a blue marble would be 5/20, or 0.25 and then the probability of choosing a green marble next would be 8/19, or about 0.421. Multiply these probabilities together to get your answer.
Hope this helps:)
Construct a line segment or an angle—it's your choice! Then, bisect the segment or angle you constructed.
Think about the steps you took to construct and bisect the line segment or angle.
If you chose a line segment, how are the construction steps you completed similar to the steps you would have taken to construct and bisect an angle? How are they different?
If you chose an angle, how are the construction steps you completed similar to the steps you would have taken to construct and bisect a line segment? How are they different?
There are different ways to construct an angle. The steps used in constructing a line segment are;
First, you have to put the compass at a one specific end of line segment.
Then you shift the compass slowly a little bit so it will be longer in length to half the length of line segment.
Then you have to draw arcs up and down the line.
while using the same compass width, you then draw arcs from one specific end of line.
and thereafter you put your ruler in the point where the arcs cross, and you then draw the line segment.
The differences is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in construction of a line segment, there is differences in length.
What are the construction process of Angles?
This entails a good construction process in making angles. They are step-by-step processes that are used to produce a detailed and exact geometric figures.
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The steps to construct an angle and its bisector are described above.
The angle can be defined as the one line inclined over another line.
Here,
Step 1,
Draw a random size horizontal line,
Step 2,
Take the rounder, mark the rounder 1/3 of the line drawn, put on one of the ends, and draw a horizontal semi-circle,
Step 3,
One more time, keep the rounder 1 / 3 measure of the semi-circle and cut 2 consecutive arcs, one from the initial end of the semi-circle and the other from the previous arc cut on the semi-circle.
Step - 4
Now draw a line from the center of the semi-circle through the cut arc, an angle will be formed
Step - 5,
Now cut 2 arcs from the previously cut arc intersecting each other.
Step - 6
Now draw the line from the initial point of the horizontal line and the final intersecting arcs.
Thus, The steps to construct an angle and its bisector are described above.
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What are the solutions of this quadratic equation?
B.
Step-by-step explanation:[tex]x^2-8x+97=0[/tex]
[tex]x=\frac{-(-8)\pm\sqrt{(-8)^2-4\times1\times97}}{2\times1}\left\{x=\left.\ \frac{-b\pm\sqrt{b^2-4ac}}{2a}\right\}\right.[/tex]
[tex]=\frac{8\pm\sqrt{-324}}{2}[/tex]
[tex]=\frac{8\pm18i}{2}\left\{i^2\right.=-1\Longrightarrow\sqrt{-1}=\left.\ i\right\}[/tex]
[tex]\Rightarrow x_1=4-9i,x_2=4+9i[/tex]
[tex]\therefore Choose\ B.[/tex]
I hope this helps you
:)
Need help don’t understand for 1-5 please!!!!
A cylinder has a height of 15 inches. Its volume is 3,014.4 cubic inches. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
To solve this problem where we need to find the radius:
⇒ find the relationship between height, volume, and radius
⇒ only equation that involves all these quantities is
⇒ Volume's equation = [tex]V = \pi r^2*h[/tex]
V: volume ⇒ 3014.4 cubic inchesr: length of radius h: length of height ⇒ 15 inches[tex]\pi[/tex] ≈ 3.14Let's set up our volume equation with known quantities
[tex]V=\pi r^2*h\\3014.4=\pi r^2*15\\3014.4 = 3.14*r^2*15\\960=15r^2\\r^2=64\\r=8[/tex]
*r cannot be negative thus r equals a positive 8
Thus the radius is 8.00 inches (rounded to the nearest hundredth)
Hope that helps!
Answer:
8.00 inches
Step-by-step explanation:
Given:
height = 15 inchesvolume = 3,014.4 cubic inchesTo find:
radiusCylinder’s Volume:
[tex]\displaystyle \large{V=\pi r^2 h}[/tex]Substitute given information in:
[tex]\displaystyle \large{3,014.4 = 3.14 \cdot r^2 \cdot 15}\\\displaystyle \large{3,014.4=47.1r^2}[/tex]
Solve for r by dividing both sides by 47.1:
[tex]\displaystyle \large{\dfrac{3,014.4}{47.1} = \dfrac{47.1r^2}{47.1}}\\\displaystyle \large{64 = r^2}\\\displaystyle \large{r = 8,-8}[/tex]
However, radius is a scalar value so it cannot be negative - the radius is 8 inches
Since you want in nearest hundredth then the radius is 8.00 inches