[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$81200\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ t=years\dotfill &13 \end{cases} \\\\\\ A=81200e^{0.036\cdot 13}\implies A=81200e^{0.468}\implies A\approx 129659.95[/tex]
(x+2)(x+7) Write in simplified form
Answer:
x^2+9x+14
Step-by-step explanation:
x×(x+7)+2×(x+7)
x^2+7x+2x +14
x^2+9x+14
at the clothing store 1/8 of the plots arch shirts of the shirt .1/4 are green what fraction of the clothing and the store are green shirts
Answer:
Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday.
A young Witch flew her broom 48 miles form her home to a witch festival. Flying with the wind, the trip took 3 hours. Her flight home against the wind took 4 fours. find the speed of the wind and the speed of the broom in still air
Using the relation between velocity, distance and time, it is found that:
The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.What is the relation between velocity, distance and time?
Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
Flying with the wind, in which [tex]v = v_b + v_w[/tex] the 48-mile trip took 3 hours, hence:
[tex]v = \frac{d}{t}[/tex]
[tex]v_b + v_w = \frac{48}{3}[/tex]
[tex]v_b + v_w = 16[/tex]
Her flight home against the wind took 4 fours, hence:
[tex]v = \frac{d}{t}[/tex]
[tex]v_b - v_w = \frac{48}{4}[/tex]
[tex]v_b - v_w = 12[/tex]
Adding the two equations:
[tex]2v_b = 28[/tex]
[tex]v_b = 14[/tex]
[tex]v_b + v_w = 16 \rightarrow v_w = 2[/tex]
Hence:
The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
6 cm
6cm
6 cm
5 cm
4 cm
8cm
Solid B
Solid A
Which of the above solids has the larger surface area?
O O A. Solid A
O
B. Solid B
C. They have the same surface area.
Answer:
Solid A
Step-by-step explanation:
Surface area of a cube: 6 x a², where a is the side.
= 6 x 6²
= 6 x 36
= 216 cm²
Surface area of the cuboid/rectangular prism: 2(lw + wh + lh), where l is the length, w is the width, h is height.
= 2((5 x 4) + (4 x 8) + (5 x 8))
= 2(20 + 32 + 40)
= 2(92)
= 184 cm²
Therefore, Solid A has the larger surface area compared to Solid B.
Question 2
Help
Meeeeeeeeeeeeeee
Answer:
black screen
Step-by-step explanation:
this is a black screen
Express as in Kg using decimals.
a) 12 g. b) 7 g.
c) 35 kg 15 g. d) 675 g
Answer:
a)0.012 kg
b)0.007kg
c)35.015kg
d)0.675kg
Step-by-step explanation:
please mark me as brainlest
simplify 12(3a-1)-3(14a-1)
Step-by-step explanation:
please mark me as brainlest
Answer:
6a - 9
Step-by-step explanation:
[tex]12(3a-1) -3(14a-1)\\[/tex]
First you want to factor. Factor out a -3 from both terms.
[tex]= (-3)(-4(4a-1) + (14a-1))\\[/tex]
Then you want to expand the right bracket.
[tex]= (-3)(-16a + 4 + 14a - 1)\\[/tex]
Collect the like terms
[tex]= (-3)(-2a +3)\\[/tex]
Distribute:
[tex]= 6a - 9[/tex]
a. Quick please A 1/2+4\9=? and is it greater than one or less than one please explain
B. 2 1/4-1 1/5 do the same thing please remember if it’s greater than one or less than one and explain
Answer:
it is B
Step-by-step explanation:
B is 1 1/20 and A is only 17/18
A manufacturer packages coffee beans in 50 kg
cartons with an allowable error of 0.7%
. what is the acceptable weight range for a carton of coffee beans?
select the answers from the drop-down lists to correctly complete the sentence.
the acceptable weight of the cartons ranges from kg
to kg
.
Answer:
49.65-50.35
Step-by-step explanation:
0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.
24. generalize what are the attributes of fractions
that are equivalent to 100%
Answer:
when a fraction equals 100% it means it has the same numbers for its numerator and denominator such as 4/4 or 18/18
Step-by-step explanation:
When it has the same numbers for its numerator and denominator it will be 100%
complete the proof, word bank at the bottom HELP PLEASE LOL
Given: ∠VYZ≅∠YWX, m∠VZY+m∠ZYX=180°
Prove: △ZVY∼△XYW
Answer:
Step-by-step explanation:
3) Definition of supplementary angles
4) Consecutive interior angles converse
5) Alternate interior angles
6) AA similarity
The point (3, 4) is on a circle with a center (1, 4).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.
Check the picture below.
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{1}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-1)^2~~ + ~~(y-4)^2~~ = ~~2^2\implies (x-1)^2~~ + ~~(y-4)^2~~ = ~~4[/tex]
There is a population of 10,000 bacteria in a
colony. If the number of bacteria doubles every
260 hours, what will the population be 780
hours from now?
Answer:
80,000
Step-by-step explanation:
The population doubles every 260 hours. 260 goes into 780 three times.
10,000x2=20,000
20,000x2=40,000
40,000x2=80,000
PLS HELP ME ASAP I WILL MARK THE BRAINIEST
Answer:
73°, 85°, 62°Step-by-step explanation:
#1Angle formed by two chords is half the sum of the intersepted arcs:
m∠HKI = m∠GKJ = 1/2(105 + 41) = 1/2(146) = 73°#2Angle formed outside by two tangents is half the difference of intercepted arcs:
1/2(55x - 17x) = 9538x = 190x = 190/38x = 5Find the arc measure:
mAC = 17x = 17*5 = 85°#3Angle formed outside by two secants is half the difference of intercepted arcs:
mBCD = 1/2(mAE - mDB) = 1/2(147 - 23) = 1/2(124) = 62°order from least to greatest 4/5 9/10 1/3 7/8 i need hep fast
Answer:
Answer: 1/3, 4/5, 7/8, 9/10
Step-by-step explanation:
4/5 9/10 1/3 7/8
240
5*48=240 4*48=192 192/240
10*24=240 9*24=216 216/240
3*80=240 1*80=80 80/240
8*30=240 7*30=210 210/240
Answer:
option 1 (the basic)
Convert it into a common factor.
So everything in the denominator has to have a common multiple then we can compare from there.
You can either find every multiple here and then see which ones the same or multiply them all (not recommended)
so 120 is the common factor here.
I got this because I know 10 and 5 are basically the same. Since they almost all end with 0s. I know it has to be a number that ends with 0.
8 here is the one I calculated.
My process:
8*5 = 40
40 doesnt go to 3
8*10 = 80
80 doesn’t go to 3
8*15 = 120
120 goes to 3 (Becuase if you add up the numbers 1 + 2 + 0, you’d get 3 which is divisible by 3)
So 120 is the denominator.
Now we divide each to find the numerator now.
120/5 = 24
So we multiplieds 24 by 5 to get 120.
Thats the bottom, whatever we do on the bottom we do to the top.
So 4 * 24 is 96
96/120
Now lets fast forward
In the end you’d end up with in the order we began with
96/120 …(4/5)
108/ 120 …(9/10)
40/120 …(1/3)
105/120 …(7/8)
Now we put them in order from least to greatest in this case.
40/120 …(1/3)
96/120 …(4/5)
105/120 …(7/8)
108/120 …(9/10)
Your order would be
1/3
4/5
7/8
9/10
Option 2 (the decimal)
SO in this case you jsut convert them into a decimal then compare
This is relatively easier since its jsut basic division with decimal.
You do numerator divide by denominator.
4 ÷ 5 = 0.8
9 ÷ 10 = 0.9
1 ÷ 3 = 0.3333333…
7 ÷ 8 = 0.875
Now you just put them in order
0.2, 0.333…, 0.875, 0.9
Same order as before
1/3, 4/5, 7/8, 9/10
40 POINTS HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
on a coordinate plane, the endpoints of line segment JL are
J(-6,-4) and L(6,8). Point K lies on line segment JL and divides it into two
line segments such that the ratio of JK to KL is 5:1. What are the
coordinates of point K?*
Answer: (4,6)
Step-by-step explanation:
We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.
The change in x is 12, and the change in y is 12.
This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.
This means that to find K, we can subtract one of these displacements from point L.
This means that K has coordinates (6-2, 8-2)=(4,6)
(w+9)+3 write an expression equivalent
Answer:
[tex]\displaystyle 12 + w[/tex]
Explanation:
Just combine like-terms to arrive at your answer:
[tex]\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3[/tex]
I am joyous to assist you at any time.
Find the measure of angle PRT.
Select one:
A. 45°
B. 90°
C. 120°
D. 180°
Answer:
The measure of angle PRT would be:
B.) 90 degrees
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The angle letters PRT all will connect at one point which is the angle we will measure.
Angle PRT = 90 degrees
If the sum of the 8th & 9th terms of an arithmetic progression is 72 and the 4th term is -6. Find the common difference.
Answer:
Correct Answer: Option D
Step-by-step explanation:
9 1/3
hope that helps
Step-by-step explanation: Is (5, 5) a solution to the equation y=x ?
Answer:
Yes, (5,5) is a solution of y=x
Step-by-step explanation:
A point is given as a coordinate pair, (x,y). The first number is x and the second number is y. A solution is a pair of numbers that will make the equation true.
To check if the point is a solution, fill in the first number in place of x in the equation. Then fill in the second number for the y.
Here we have the equation:
y = x
Substituting (filling in) we get:
5 = 5 a true statement. So (5,5) IS a solution.
Alternatively, you could graph the equation and verify that the point is on the graph. see image.
Find the surface area
Answer:
B.
Step-by-step explanation:
6x3=18
18x4=72
3x3=9
9x2=18
72=18=90
A rocket is launched into the air. the projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t. when will the rocket be 196 feet in the air? after 2.0 seconds after 3.5 seconds after 4.5 seconds after 7.0 seconds
The rocket will attain a height of 196 feet in 3.5 seconds. Then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
A rocket is launched into the air.
The projectile motion of the rocket can be modeled using
h(t) = 112t – 16t²
where t is the time since the launch in seconds and h(t) is the height of the rocket at time t.
The time required for the rocket to be 196 feet in the air. Then we have
112t – 16t² = 196
16t² – 112t + 196 = 0
4t² – 28t + 49 = 0
On factorization we have
4t² – 28t + 49 = 0
(2t)² – 28t + 7² = 0
(2t – 7)² = 0
2t – 7 = 0
t = 3.5
Thus, the rocket will attain a height of 196 feet in 3.5 seconds.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
B. after 3.5 seconds
Step-by-step explanation:
i took the test
also:
196 = 112t - 16t²
-16t² + 112t - 196 = 0
4t² - 28t + 49 = 0
(2t - 7)² = 0
2t - 7 = 0
t = 7/2 = 3.5 sec
The area of the triangle is 22.4 cm2. Calculate the length, b, of the longest side of the triangle. 97° 3.7 cm a b
Answer:
Step-by-step explanation:
this is the second part of my homework
pls help me if u can :)
Answer:
no 4. radius is x
no 5. radius is a
no 6. radius is y
Step-by-step explanation:
have no idea about tangents
Solution 4 :-
⠀
Tangent = RYPoint of tangency = RRadius = XT⠀
Solution 5 :-
⠀
Radius = TD or DAInscribed Angle = ∠RQSDiameter = AT⠀
Solution 6 :-
⠀
Radius = YSSecant = TUTangent = ST⠀
★ Important terms to keep in mind :-
⠀
✰ Tangent : Tangent is a line segment which touches the circle, exactly at one point. It is perpendicular to the radius.
⠀
✰ Point of tangency : The point where the tangent and the circle meet, is known as point of tangency.
⠀
✰ Radius : The line segment joining the centre and the end point of the circle is known as radius. It is half the value of diameter of the same circle.
⠀
✰ Diameter : The line segment joining the end points of a circle is known as diameter. It is double the radius.
⠀
✰ Inscribed angle : The angle made by two chords in the interior of the circle, touching any point of the circle is known as inscribed angle.
⠀
✰ Secant : A line segment joining exactly two points of a circle is known as secant.
⠀
✰ Note : If you're acquainted with these terms, you'd be able to tackle such questions easily.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
A jeepney has an original speed of 30 m/s and a final speed of 40 m/s. Compute its
acceleration if the time of travel is 10 seconds.
Answer:
1 m/s/s.
Step-by-step explanation:
Acccelaration = rate of change of speed
= (40 - 30) /10
= 10/10
= 1 m/s/s.
Given the value of the hypotenuse c for a 30°-60°-90° triangle, write the equations to represent sides a and b in terms of c. Assume a is the shorter leg.
Answer:
a = 1/2 • c
b = (root3)/2 • c
Step-by-step explanation:
30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)
The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. Your question asked for everything in terms of c (the hypotenuse) see image. We can use these shortcuts to find your answer. See image.
A department store receives a shipment of 3 boxes of glass ornaments. There are 25 ornaments in each box. Lucas opens the boxes and finds that 6 of the ornaments are broken. Based on this shipment, what prediction can Lucas make about the next shipment of ornaments?
F A delivery of 4 boxes will contain 4 more broken ornaments than a delivery of 3 boxes.
G A delivery of 5 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.
H A delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.
J A delivery of 7 boxes will contain 10 more broken ornaments than a delivery of 3 boxes.
Answer:
the next shipment of ornaments are 16
If tan theta = startfraction 11 over 60 endfraction, what is the value of cot theta?
The value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
Given that trigonometric ratio:
[tex]tan\theta = \frac{11}{60}[/tex]
What is the tangent of an angle?The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).
So, for the given problem
Opposite side to [tex]\theta[/tex] = 11
Adjacent side to [tex]\theta[/tex] = 60
So, [tex]cot \theta =\frac{AdjacentSide }{OppositeSide}[/tex]
[tex]cot\theta =\frac{60}{11}[/tex]
Therefore, the value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
To get more about trigonometric ratios visit:
https://brainly.com/question/24349828
Answer:
60/11 is correct (option c)
Step-by-step explanation:
I just took the test
please help with 1 or 2 i’ll mark brainly
Answer:
700 cubic centimetersDisagree. Volume does not depend on slant height.Step-by-step explanation:
Cavalier's Principle tells you that the slant figures with the same base area and height have the same volume, regardless of the amount of offset.
__
1.The volume of the oblique cylinder is the same as the volume of the right cylinder: 700 cubic centimeters.
__
2.Disagree. Both the volume formula for the pyramid and Cavalier's Principle tell you that the volume is not a function of the slant height.