Answer:
600 is 29.268292682927% of 2050.
29.30% rounded off 1 decimal place (tenths)
29.27% rounded off 2 decimal places (hundredths)
Step-by-step explanation:
6-7pm is 1 hr.
1hr = 60 min
10 students per min
60 min * 10 = 600
600 ÷ 2050 = 0.29268292682927 = 29.268292682927%
which line is a graph of the equation 2x+5y=-10?
5y=-2x-10
y=-2/5x-2
Rewriting the equation to slope intercept form, you get that the slope is -2/5 and the y intercept is -2. The graph that matches that is line d.
Answer:
Line D (-5,-2)
Step-by-step explanation:
I usually just use the website, demos graphing calculator.
3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.
To the nearest year, when will the two accounts have the same balance?
9514 1404 393
Answer:
after 89 years
Step-by-step explanation:
For principal p, interest rate r, and number of years t, the two account balances are ...
a = p·e^(rt) . . . . continuous compounding
a = p(1+r)^t . . . . annual compounding
Using the given values, we have
3000·e^(0.07t) . . . . . compounded continuously
20000·1.05^t . . . . . . compounded annually
We want to find t so these are equal.
3000·e^(0.07t) = 20000·1.05^t
0.15e^(0.07t) = 1.05^t . . . . divide by 20,000
ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms
ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t
t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t
t ≈ 89.4 ≈ 89
The two accounts will have the same balance after 89 years.
ILL GIVE POINTS!!
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is pi/3 What is the length of the third side of the
triangle?
A. sqrt13
B. 4sqrt3
C. sqrt3
D. 3
Answer:
no A
Step-by-step explanation:
sqrt13 is the ans
hope it helps
The side lengths of a 30-60-90 triangle are in the ratio 1: V3 : 2. What is
sin 30°?
Answer:
A
Step-by-step explanation:
side opposite to smallest angle is smallest=1
Hypotenuse=2
sin 30=1/2
Help please asap :(......
3(y+11) y=12
3(12+11)=?
12+11=23
3x23=69
Answer = 69
I hope this helps :)
Inverse property of addition for real numbers
Answer:
The answer would be -a
Step-by-step explanation:
In the examples,
5 + (-5) = 0
-1.33 + 1.33 = 0
THat means there will be a negative then a positive, or a positive then a negative.
INVERSE is the key word in this problem.
Thu gọn và tìm bậc các đơn thức sau
6x²y×(2/3xy²)
Answer:
2xy²six x squared y over 3 x y
Answer: 4x/y
Step-by-step explanation:
6x^2y. (2/3xy^2)= (6x^2y.2)/(3xy^2)= (12x^2y)/(3xy^2)= 4x/y
9x mũ 2 + 6x + 1 cho mình hỏi câu này ạ
Answer:
can you translate in english,would be better...
answer maybe wrong because of the language but stil....
9x(2+6x+1)
=9x(9x)
81x..
In the figure, p is parallel to s. Trasnversals t and w intersect at point L.
Statement
What is the missing reason in step 3?
a.) Alternate interior angles along parallel lines are congruent
b.) Alternate exterior angles along parallel lines are congruent
c.) Corresponding angles along parallel lines are congruent
d.) Vertical angles are congruent
Option C
Corresponding angles along parrellel lines are conguerent.
Answered by Gauthmath must click thanks and mark brainliest
Name the property illustrated. 7 + 0 = 7
Answer:
I think it's the zero property
Step-by-step explanation:
If p:q=3:4 and q:r=14:9, find p:r
Answer:
7/6
Step-by-step explanation:
p=3/4*q
q=14/9*r
so p=3/4*14/9r=7/6r
Solve for x and find the measure of angle AED and angle AEC
(not drawn to scale)
Answer:
x = 5
<AED = <AEC = 37
Step-by-step explanation:
<AEF = <AEC (Vertical angles)
6x+7=8x-3
or, 8x-6x=7+3
or, 2x=10
or, x=5
6x+7 = 37
Answered by GAUTHMATH
Answer:
x=5
AED =37
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
6x+7 = 8x-3
Subtract 6x from each side
6x+7-6x = 8x-6x-3
7 = 2x-3
Add 3 to each side
7+3 = 2x-3+3
10 =2x
Divide by 2
10/2 =2x/2
5 =x
We want the AED = 6x+7 = 6*5+7 = 30+7 = 37
What is the equation of the line that passes through (-1, 5) and (3, -7)?
Answer:
[tex] 3x + y = 2 [/tex]
Step-by-step explanation:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
[tex] y - 5 = \dfrac{-7 - 5}{3 - (-1)}(x - (-1)) [/tex]
[tex] y - 5 = \dfrac{-12}{4}(x + 1) [/tex]
[tex] y - 5 = -3(x + 1) [/tex]
[tex] y - 5 = -3x - 3 [/tex]
[tex] 3x + y = 2 [/tex]
Two numbers have a difference of 42 and a quotient of −6. What are the two numbers?
Answer:
32is the answer to yours questions
The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.
Answer:
Cost of a play station game = $11.3
Cost of each water ride = $22.6
Step-by-step explanation:
Entrance tickets = $89.97
Royal meal = $10.85
Cost of a play station game = x
Cost of each water ride = 2x
Find the cost of a water ride
Entrance tickets = Royal meal + 1 play station game + 3 water rides
89.97 = 10.85 + 1(x) + 3(2x)
89.97 = 10.85 + x + 6x
89.97 = 10.85 + 7x
89.97 - 10.85 = 7x
79.12 = 7x
x = 79.12/7
x = 11.302857142857
Approximately to the nearest tenth
x = $11.3
Cost of a play station game = x = $11.3
Cost of each water ride = 2x
= 2(11.3)
= $22.6
find five consecutive even integers preceding -35
Answer:
-44, -42, -40, -38, -36
Step-by-step explanation:
"preceding" requires an indication of the direction.
but I assume the usual left to right direction. in that sense the provided 5 even numbers are directly preceding -35
Two numbers have a product of −24 and a difference of 11. What are the two numbers?
Answer:
-8 and 3, or -3 and 8
Step-by-step explanation:
xy = -24
x - y = 11
x = y + 11
y(y + 11) = -24
y^2 + 11x + 24 = 0
(y + 8)(y + 3) = 0
y = -8 or y = -3
x = 3 or x = 8
the numbers are -8 and 3, or -3 and 8
inverse sine is used to find a given angle measure when we know the _ and the _
Answer:
opposite side of an angle
hypotenuse
Mrs Dlamini bought a 10kg bag of rice. She cooks 500g of rice per day. How many days will the bag of rice last her family
Answer:
20 days
Step-by-step explanation:
10kg= 10,000g
10,000g/500g= 20 days
Answer:
20 days
Step-by-step explanation:
1 kg=1000 grams
10 kg=10000 grams
10000÷500
=20 days
Consider the function below. 74 POINTS!!!!!!!!
Which of the following functions could be the inverse of function f?
Answer:
x -2 3 8 13
f^-1(x) -1 0 1 2
Step-by-step explanation:
The inverse function has the input as the output and the output as the input
x -2 3 8 13
f^-1(x) -1 0 1 2
Answer: C
Step-by-step explanation: In this problem, we're given a function
in the form of a chart and we're asked to find the inverse of the function.
To find the inverse of a function, we simply switch
the x and y values in each point.
In other words, the point (-1, -2) becomes (-2, -1),
the point (0, 3) becomes (3, 0), the point (1, 8) becomes (8, 1),
and the point (2, 13) becomes (13, 2).
5(15-7y/3)+2y=-4
solve for y and plz show steps
Answer:
75 - 35y / 3 + 2y = -4
( 75 - 35y + 6y ) / 3 = -4 [ Taking LCM ]
( 75 - 29y ) / 3 = -4
75 - 29y = -12
29y = 75+12
29y = 87
y = 3
hope that helps ✌
solve for x. Round to the nearesr tenth of a degree if necessary.
Answer:
im not sure but i got 30.1
Step-by-step explanation:
[tex] \cos(x) = \frac{45}{52} \\ x = 30.1[/tex]
What is the value of y?
A. 55°
B. 850
C. 10°
D. 110°
[tex]4x+2=2(x+6)[/tex]
Solve for x.
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2 = 2(x + 6)[/tex]
[tex]4x + 2 = (2 * x) + (2 * 6)[/tex]
[tex]4x + 2 = 2x + 12[/tex]
Step 2: Subtract 2 from both sides
[tex]4x + 2 - 2 = 2x + 12 - 2[/tex]
[tex]4x = 2x + 10[/tex]
Step 3: Subtract 2x from both sides
[tex]4x - 2x = 2x - 2x + 10[/tex]
[tex]2x = 10[/tex]
Step 4: Divide both sides by 2
[tex]2x / 2 = 10 / 2[/tex]
[tex]x = 5[/tex]
Answer: [tex]x = 5[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\4x + 2 =2(x+6)\\------------\\\rightarrow 4x + 2 = 2x + 12\\\\\rightarrow4x - 2x +2 = 2x - 2x + 12\\\\\rightarrow 2x + 2 = 12\\\\\rightarrow2x + 2 - 2 = 12 - 2\\\\\rightarrow 2x = 10\\\\\rightarrow \frac{2x=10}{2}\\\\\rightarrow \boxed{x = 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Identifying linear pairs and vertical angles
Answer:
a. linear pair 5 & 6
b. pair of vertical angles 5 & 2
c. pair of angles that are congruent 3 & 8
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect.
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.
If two angles are complements of the same angle (or congruent angles), then the two angles are congruent. All right angles are congruent.
Please hurry I will mark you brainliest
You are organizing an athletic banquet at school and you have $120 available through
fundraising for the
banquet. Any other costs must be covered from selling tickets for the event. You decide to take care of the major cost first-hall rental and caterer. Each caterer you approach is associated with a specific hall. Caterer One charges $45 per person. The cost of using the hall is inclusive. Caterer Two charges $250 for hall rental plus $28 per person.
Cater Three charges $500 for hall rental plus $20 per person.
Caterer one equation: C = $45n
Caterer two equation: C = $250 + $28n
Caterer three equation: C = $500 + $20n
Question: use technology (Desmos, Excel etc) or graph to graph each plan on the same set of axis. Assume that the maximum of attendees will be 50
Answer:
The solution to above problem is 1- $45n 2- $(250+28n) 3- $(500+20n)
Step-by-step explanation:
Luna flew from Boston to Orlando with a stop in Atlanta to switch planes. The flight from Boston to Atlanta was 3 hours and 30 minutes long. Luna was in Atlanta for 1 hour and 30 minutes, and her flight from Atlanta to Orlando was 1 hour and 15 minutes long. Luna landed in Orlando at 1:45 P.M. What time did Luna's first flight leave Boston?
Answer:
1:15 minuites
Step-by-step explanation:
30 minuites
Answer:
8:30 A.M.
Step-by-step explanation:
Start by adding up the total time spent traveling.
3h 30min + 1h 30min + 1h 15 min = 5h 15 min
If she arrived in Orlando at 1:45 P.M., count back 5 h 15 min.
1:45 - 15 min = 1:30 - 5h = 8:30 A.M.
find the lenght of the missing side:
Answer:
x=15.73292
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 70 = x / 46
46 cos 70 =x
x=15.73292
Answer:
15.73
Step-by-step explanation:
cos(x) = adjacent leg / hypotenuse
cos(70) = x / 46
0.342 = x / 46
0.342 x 46 = x
x = 15.73
x.(9x-1).(x+2)-x(3x-1).(3x+1)
Answer:
Sorry if i'm wrong.
=6x² + 16x - 2
c=1/21.22.23+1/22.23.24+................+1/200.201.202
. = là dấu nhân
It looks like you have to find the value of the sum,
[tex]C = \displaystyle \frac1{21\times22\times23} + \frac1{22\times23\times24} + \cdots + \frac1{200\times201\times202}[/tex]
so that the n-th term in the sum is
[tex]\dfrac1{(21+(n-1))\times(21+n)\times(21+(n+1))} = \dfrac1{(n+20)(n+21)(n+22)}[/tex]
for 1 ≤ n ≤ 180.
We can then write the sum as
[tex]\displaystyle C = \sum_{n=1}^{180} \frac1{(n+20)(n+21)(n+22)}[/tex]
Break up the summand into partial fractions:
[tex]\dfrac1{(n+20)(n+21)(n+22)} = \dfrac a{n+20} + \dfrac b{n+21} + \dfrac c{n+22}[/tex]
Combine the fractions into one with a common denominator and set the numerators equal to one another:
[tex]1 = a(n+21)(n+22) + b(n+20)(n+22) + c(n+20)(n+21)[/tex]
Expand the right side and collect terms with the same power of n :
[tex]1 = a(n^2+43n+462)+b(n^2+42n+440) + c(n^2+41n + 420) \\\\ 1 = (a+b+c)n^2 + (43a+42b+41c)n + 462a+440b+420c[/tex]
Then
a + b + c = 0
43a + 42b + 41c = 0
462a + 440b + 420c = 1
==> a = 1/2, b = -1, c = 1/2
Now our sum is
[tex]\displaystyle C = \sum_{n=1}^{180} \left(\frac1{2(n+20)}-\frac1{n+21}+\frac1{2(n+22)}\right)[/tex]
which is a telescoping sum. If we write out the first and last few terms, we have
C = 1/(2×21) - 1/22 + 1/(2×23)
… … + 1/(2×22) - 1/23 + 1/(2×24)
… … + 1/(2×23) - 1/24 + 1/(2×25)
… … + 1/(2×24) - 1/25 + 1/(2×26)
… … + … - … + …
… … + 1/(2×198) - 1/199 + 1/(2×200)
… … + 1/(2×199) - 1/200 + 1/(2×201)
… … + 1/(2×200) - 1/201 + 1/(2×202)
Notice the diagonal pattern of underlined and bolded terms that add up to zero (e.g. 1/(2×23) - 1/23 + 1/(2×23) = 1/23 - 1/23 = 0). So, like a telescope, the sum collapses down to a simple sum of just six terms,
C = 1/(2×21) - 1/22 + 1/(2×22) + 1/(2×201) - 1/201 + 1/(2×202)
which we simplify further to
C = 1/42 - 1/44 - 1/402 + 1/404
C = 1,115/1,042,118 ≈ 0.00106994