Answer:
Step-by-step explanation:
LET ORANGES=X
PEARS ARE 3 TIMES =3X
LET CHILDREN=Y
IF WE GIVE 5 ORANGES PER CHILD WE NEED 5Y ORANGES.SO THIS =X
X=5Y........................I
IF WE GIVE 8 PEARS PER CHILD WE NEED 8Y PERARS...THERE ARE STILL 21 PEARS LEFT OUT AFTER THIS THAT IS
8Y+21=3X....................II
SUBSTITUTING FOR X FROM EQN.I..
8Y+21=3*5Y
15Y-8Y=21
7Y=21
Y=3
X==5Y=5*3=15..
SO CHILDREN =3
ORANGES=15
PEARS=3*15=45
THANKYOU AND PLEASE AMRK IT BRAINLIEST
Match the expression to the simplified form
Answer:
[tex]2^{5}[/tex]= 32
[tex]5^{-2}[/tex]= 1/25
[tex]5^{3}[/tex]=125
[tex]2^{-4}[/tex]=1/16
i hope this helps, the reason there are fraction is because of the negative exponent. To solve those you need to find the normal answer(with no negative exponent) and put it over 1. Doing that switches it to a positive response(needed).
Answer: The answers are in the steps.
Step-by-step explanation:
[tex]2^{5}[/tex] = 2*2* 2 *2 *2 = 32
[tex]5^{-2}[/tex] = [tex]\frac{1}{5*5}[/tex]= [tex]\frac{1}{25}[/tex]
[tex]5^{3}[/tex] = 5 * 5 *5 = 125
[tex]2^{-4}[/tex] = [tex]\frac{1}{2*2*2*2} = \frac{1}{16}[/tex]
2^5 → 32
5^-2 → 1/25
5^3 → 125
2^-4 → 1/16
A professional singer charges $1000 an hour. Her rate increases by 50% after midnight. If she performs one night from 8:30pm to 1:00am, how much will she be paid? .
Answer:
$5000
Step-by-step explanation:
Hours until midnight = 3 1/2
Hours until 1am = 1
3 1/2 x 1000 = 3500 = $3500
1 = ( 1000 x 0.50 = 500 (+1000) ) = 1500= $1500
3500+1500 = $5000
Compute i^1+i^2+i^3+...+ i^97 + i^98+i^99.
If [tex]i=\sqrt{-1}[/tex], then [tex]i^2=-1[/tex], [tex]i^3=-i[/tex], and [tex]i^4=1[/tex].
We can break up the given sum into 25 groups (after adding and subtracting [tex]i^{100}[/tex]):
[tex](i+i^2+i^3+i^4)+(i^5+i^6+i^7+i^8)+\cdots+(i^{97}+i^{98}+i^{99}+i^{100})-i^{100}[/tex]
We have
[tex]i+i^2+i^3+i^4=i-1-i+1=0[/tex]
and in each group, we can pull this out as a factor. For example,
[tex]i^{97}+i^{98}+i^{99}+i^{100}=i^{96}(i+i^2+i^3+i^4)=0[/tex]
So the entire sum reduces to the remaining term,
[tex]-i^{100}=-i^{25\cdot4}=-(i^4)^{25}=-1^{25}=\boxed{-1}[/tex]
Answer:
jhjhjhjjjhjhjjjjh and yea that .....................................................................................................................................................................
Step-by-step explanation:
John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours? A. 4.5 miles B. 2 miles C. 6 miles D. 10 miles
Answer:
2
Step-by-step explanation:
well less than 3
Answer:
A
Step-by-step explanation:
The easiest way to do this problem is to find out how far he can go in 1/2 hour.
If he goes 3 miles in 1 hour
he will go 3/2 miles in 1/2 hour
=============
Now just add this onto the distance travelled in 1 hour.
3 + 3/2 = 3 + 1.5 = 4.5
The answer is A
The answer can be obtained another (perhaps better ) way.
Set up a proportion
1 hour gives 3 miles
1.5 hours gives x
1/1.5 = 3/x Cross multiply
1*x = 1.5 * 3 Combine
x = 4.5 miles
Brainliest for whoever gets this right !!!
Answer :
[tex](x1 \: \: y1) = ( - 2 \: - 5) \\ (x2 \: \: y2) = (10 \: \: 7)[/tex]
I hope it helps :)
whats the difference between a sequence and a series?
Answer:
A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!
The function f(x) = 5 * (1/5) ^ x reflected over the yaxis. Which equations represent the reflected function? Select two options please I really need help
Answer:
The following two equations represent the reflected function:
f(x) = 5(1/5) ⁻ˣ
f(x) = 5(5)ˣ
Step-by-step explanation:
Following are two basic concepts of reflection a point or a function over an axis:
If a point or a function is reflected across x-axis, the x component remains the same while the y component changes its sign.If a point or a function is reflected across y-axis, the y component remain the same while the x component changes its sign.In this question, the function is given:
f(x) = 5(1/5)ˣ
As the function is reflected over y-axis, it follows the second concept. The x component will becomes negative.
So the equation of reflected function is:
f(x) = 5(1/5) ⁻ˣ
We know that that fraction with a negative power can also be written as a reciprocal of the same fraction with a positive power.
(1/5)⁻ˣ = 5ˣ
So equation of reflected function can also be written as:
f(x) = 5(5)ˣ
Answer:
f(x) = 5(1/5) ⁻ˣ
f(x) = 5(5)ˣ
Solve for b
117
63
27
160
Answer:
27
Step-by-step explanation:
180-153=b
b=27
Answer:
B) 27
Step-by-step explanation:
Because 153 and b are a linear pair, their angle measures must add up to 180 degrees. Therefore:
153+b=180
b=180-153
b=27
Hope this helps!
89 x (100-2) = 98 x (100-x) What should replace 'x' to make the equation true?
Answer:
x=11
Step-by-step explanation:
the 100-2=98 so you would need the 98 times 89 on both sides or something that is equal
[tex]\bigstar\bf\:89\times (100-2)=98\times (100-x)[/tex]
[tex]:\implies\tt\:89\times 98=98\times (100-x)[/tex]
[tex]:\implies\tt\:100-x=\dfrac{89\times 98}{98}[/tex]
[tex]:\implies\tt\:100-x=89[/tex]
[tex]:\implies\tt\:x=100-89[/tex]
[tex]:\implies\boxed{\bf{\gray{x=11}}}[/tex]
Answer the following: What is the area of the circle? (Will give brainliest)
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 5
A = pi 5^2
A = 25pi
2 Points
Which rule should be applied to reflect f(x) = x2 over the yaxis?
A. Switch the variables x and y in the equation
B. Multiply f(x) by -1.
C. Substitute -x for x and simplify f(-x)
O D. Multiply f(y) by -1.
SUBMIT
Answer:
Option C. Substitute -x for x and simplify f(-x)
Step-by-step explanation:
The rule for reflection over y axis is:
Substitute -x for x and simplify f(-x)
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given:
While reflecting a point with coordinates as (x, y), over y axis, the rule followed is
(x, y) = (-x, y)
The given function is,
f(x) = x²
So, reflecting it over y axis, we have to replace x with -x
(x, f(x)) = (-x , f(x))
So, the new reflected function is
f(-x) = -x²
Learn more about Transformation here:
https://brainly.com/question/4318770
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PLEASE ANSWER ASAP
10 POINTS!!!!!!!
Answer:
Range { -8,-3,5,7}
Step-by-step explanation:
The range of the function is the output values
Range { -8,-3,5,7}
Answer:
D
Step-by-step explanation:
8, -3, 5, 7
List of all possible outputs
If one pair of opposite sides of a quadrilateral is both congruent and __________, then the quadrilateral is a parallelogram. ANSWERS: A) increasing B) perpendicular C) decreasing D) parallel
Answer:
I think it’s parallel
Step-by-step explanation:
Correct me if this is wrong
Answer:
plz mark me brainliest
Step-by-step explanation:
parallel is the answer confirmed
proof: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.
hope it halps
A quadratic of the form -2x^2 + bx + c has roots of x = 3 + sqrt5 and x = 3 - sqrt5. The graph of y = -2x^2 + bx + c is a parabola. Find the vertex of this parabola.
Answer:
Just saying that there are links people post that scam you and this is requird by Brainly
Step-by-step explanation:
Help ASAP please Graph the line that has a x-intercept of -5 and a y-intercept -2 what is the slope of the line
Answer:
Slope: -2/5
Step-by-step explanation:
To find slope, use: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca
Answer:
A) a/b = d/c
Step-by-step explanation:
The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.
In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c
Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.
Answer:
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
Step-by-step explanation:
Step(i):-
Given series
6+66+666+6666 + ... +666...66 up to 100 digits
Taking common '6'
6 ( 1 + 11 +111+ 1111+1111+.................11111....11 100 digits)
Multiply '9' and divisible by'9'
[tex]\frac{6}{9} X9( 1+11 +111 +1111 +1111+ ..........11111..up to .100 digits )[/tex]
Multiply inside '9'
[tex]\frac{6}{9}( 9+99 +999 +9999 +.....+ ..........9999..up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10-1)+(100-1)+(1000-1) +(10,000-1)+.....+ ............up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10)+(100)+(1000) +(10,000)+.....+ ............up to .100 digits ) - ( 1+1+1+1+........up to 100 digits)[/tex]
Step(ii):-
we know that sum of geometric series
[tex]S_{n} = \frac{a(r^{n}-1) }{r-1}[/tex]
we know that
a + a + a+........n terms = n a
[tex]\frac{6}{9}( (10)+(10)^{2} +(10)^{3} +(10)^4+.....+ ............up to .100 digits - (100(1))[/tex] ....(i)
The sum of the 100 digits in geometric series
[tex]S_{100} = \frac{10((10)^{100}-1) }{10-1}[/tex]
Now the equation (i)
The sum of the digits of the number
[tex]= \frac{6}{9} ((\frac{10((10)^{100}-1) }{10-1}) - 100)[/tex]
Final answer :-
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?
Answer:
18 2-digit numbers.
Step-by-step explanation: There is
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)
hope this helps
Answer:
I believe the answer is 18 2 digit numbers
Step-by-step explanation:
I just counted them :)
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97
These are all the 2 digit numbers!
Which right triangular prism has the greatest volume? A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters. A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters. A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters. A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.
Answer: The correct answer is option 4;
A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.
Step-by-step explanation: A simple check for the result of each set of dimensions would give the correct answer.
The volume of a right triangular prism is derived as follows;
Volume = 1/2 * b * h * l
Where, b is the base of the triangle, h is the vertical height of the triangle and l is the length of the prism.
Note that the area of the right triangle is denoted by 1/2 * b * h, and multiplying this result by the length of the prism gives the entire depth or volume of the triangular prism. Let us examine the dimensions one after the other;
(1) A triangular prism. The triangular base has a base of 7 metres and height of 9 metres. The height of the prism is 6 metres.
Volume = 1/2 * 7 * 9 * 6
Volume = 189 cubic metres
(2) A triangular prism. The triangular base has a base of 6 metres and height of 13 metres. The height of the prism is 5 metres.
Volume = 1/2 * 6 * 13 * 5
Volume = 165 cubic metres
(3) A triangular prism. The triangular base has a base of 11 metres and a height of 8 metres. The height of the prism is 8 metres.
Volume = 1/2 * 11 * 8 * 8
Volume = 352 cubic metres
(4) A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.
Volume = 1/2 * 10 * 9 * 8
Volume = 360 cubic metres
Answer:
2
Step-by-step explanation:
Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D
Answer:
(D)
Step-by-step explanation:
A proportional relationship is in the form of y=kx where k is the proportionality constant.
From the given options:
Consider the pairs (x,y) in Option D
(4,8),(7,14)(12,24),(15,30)
When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.
Answer:
the correct answer is D
Step-by-step explanation:
just got it right on edge 2020
Find the measure of each marked angle.
X degree= ? Degree
(X+50) Degree =? Degree
(180-3x) Degree =? Degree
(Simplify your answers. Type an integer or a fraction.)
Answer:
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Step-by-step explanation:
In a triangle, the sum of all inside angles must be 180 degrees.
In this question:
The inside angles are: x, x + 50 and 180 - 3x.
Then
x + x + 50 + 180 - 3x = 180
2x - 3x = -50
x = 50
So
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Can you help me please?
Answer:
30 comedy DVDs
35 Action DVDs
5 Horror DVDs
Step-by-step explanation:
Total Parts of the ratio are = 6+7+1 = 14 parts
Now Finding:
1) Comedy:
=> [tex]\frac{6}{14} * 70[/tex]
=> 6 * 5
=> 30 comedy DVDs
2) Action:
=> [tex]\frac{7}{14} * 70[/tex]
=> 7 * 5
=> 35 Action DVDs
3) Horror:
=> [tex]\frac{1}{14} * 70[/tex]
=> 1*5
=> 5 Horror DVDs
What does an individual’s effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate
Answer:
the answer is B
Step-by-step explanation:
100 on the plato test
Answer:
A. the average income earned
B. the average tax rate
C. the minimum tax rate
D. the next year's tax rate
Step-by-step explanation:
Plato Users
Please help, this is a conversion problem.
Answer:
A. 41 ft / sec.
Step-by-step explanation:
28 miles per hour = 28/(60*60)
= 28 /3600 miles per second
= 28 * 5280 / 3600 feet per second
= 41 ft / sec.
Answer:
I am taking a guess so bare with me on here.
Step-by-step explanation:
first off: you want to look at each answer and think about how logical each one is. So you can cross out D. because it doesn't seem logical.
Second: Think about a car. when you are on the high way and your parents say 60 MPH that means going that speed (60MPH) you can get about 60 miles an hour and an hour is 60 min and 60 min is about 3,600 seconds because a min is 60 seconds.
Third: take out any other answer that looks too high or too low.
4th: the answer is A. because 88 and 189 is too high. and 36 is too low.
28. Find the area of the triangle ABD in the diagram below.
Answer:
A = 60 cm²
Step-by-step explanation:
Finding BC using Pythagorean Theorem:
=> [tex]c^2= a^2+b^2[/tex]
=> [tex]13^2 = a^2+5^2[/tex]
=> 169-25 = [tex]a^2[/tex]
=> [tex]a^2[/tex] = 144
Taking sqrt on both sides
=> BC = 12
So,
BC = CD = 12
=> BD = BC+CD
=> BD = 12+12
=> BD = 24
Now, The area:
=> Area of a Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]
Where BASE = 24, HEIGHT = 5
=> A = 1/2(5)(24)
=> A = 1/2(120)
=> A = 60 cm²
Step-by-step explanation IN triangle abc,
AC² = AB² + BC² (Phythogoras theorem)
13² = 5² + BC²
169 - 25 = BC²
144 = BC²
BC² = 144
BC = 12 (APPLAYING SQAURE ROOT)
Then in triangle ADC,
AD² = AC² + CD²
AD² = 13² + 12² (CD = BD - BC)
AD² = 169 + 144
AD = 17cm (aprox.)
Therefore area of triangle abd = 1/2× length × side = 1/2× 5 ×24 = 5 × 12 = 60cm
The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?
Answer:
[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]
Step-by-step explanation:
Given
[tex]Radius, r = 4ft[/tex]
[tex]Angle, \theta = 45[/tex]
Required
Calculate the area of the sector
When angle is given in degrees, the area of sector is calculated as thus;
[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex]
[tex]Substitute\ r = 4\ and\ \theta = 45[/tex]
[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex] becomes
[tex]Area = \frac{45}{360} * \pi * 4^2[/tex]
[tex]Area = \frac{45}{360} * \pi * 16[/tex]
[tex]Area = \frac{45*16}{360} * \pi[/tex]
[tex]Area = \frac{720}{360} * \pi[/tex]
[tex]Area = 2 * \pi[/tex]
[tex]Area = 2 \pi\ ft^2[/tex]
The above is the area in terms of π
Solving further.... (Take π as 3.14)
[tex]Area = 2 \pi\ ft^2[/tex] becomes
[tex]Area = 2 * 3.14\ ft^2[/tex]
[tex]Area = 6.28\ ft^2[/tex]
Hence, the area of the sector is
[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]
Reflecting the graph of y = sin x across the yaxis is the same as reflecting it
across the x-axis.
TRUE OR FALSE
Answer:
True
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
This is due to the symmetry of the sin function, which states that:
[tex]sin(-x)=-sin(x)[/tex]
Plotting both of these functions is a reflection of [tex]y=sin(x)[/tex] in both axis.
Every year, the drama club sells tickets to the school play. Last year, the club sold 75 tickets. This year, they sold
105 tickets. What percent of last years' ticket sales were this year's ticket sales?
A. 40%
B. 71%
C. 130%
D. 140%
Answer:
D 140%
Step-by-step explanation:
n/100 =105 divided by 75
next n times 105 = 75 x 100
105n = 7500
N =140:)
Write each repeating decimal using bar notation.
•2.034034...
•0.9222....
•0.7777....
Answer:
___
2.034
over .034
_
0.92
over 2
_
0.7
over 7
Step-by-step explanation:
Bar notation of 2.034034.... is [tex]2.\overline{034}[/tex], 0.9222... is [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]
What is bar notation for non terminating and recurring decimals?Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.
For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.
Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.
Bar notation of 3.33333... is written as [tex]3.\overline{3}[/tex]
Given decimal expansions are
a. 2.034034....
We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.
Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]
b. 0.9222....
We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.
Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]
c. 0.7777....
We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.
Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]
Also, learn more about decimal expansions from the link below:
https://brainly.com/question/17316823
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A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?
Answer:
The number of different possible vote totals is 184.
Step-by-step explanation:
It is provided that there are N = 50 people in a club.
The position of President is open. And there are x = 4 members running for he post of President.
So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.
Each member of the club has x = 4 possible choices.
So, the number of different possible vote totals are:
Number of different possible votes = n × x
= 46 × 4
= 184
Thus, the number of different possible vote totals is 184.