A pendulum's first swing has an arc of 36 inches. As the pendulum swings back and forth, the arc length for each successive swing is 95% of the previous swing. If this pattern continues, at which swing of the pendulum will the length of the arc be less than 27 inches? A. 5th B. 6th C. 7th D. 9th
Answer:
7th
Step-by-step explanation:
Given :
Arc length on first swing = 36 inches
After successive swing, arc length decreases by 95%
Length on 2nd swing = 0.95 * 36 = 34.2
Length on 3rd swing = 0.95 * 34.2 = 32. 49
Length on 4th swing = 0.95 * 32.49 = 30.8085
Length on 5th swing = 0.95 * 30.8085 = 29.268075
Length on 6th swing = 0.95 * 29.268075 = 27.80467125
Length on 7th swing = 0.95 * 27.80467125 = 26.4144376875
26.4144376875 < 27
Hence, length falls below 27 on 7th swing
A material that does not conduct heat well can be used as __________.
a heat source
b thermometer
c fuel
d insulation
pls help me 10 points
Answer: Approximately 20 miles per gallon
Step-by-step explanation:
The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.
Are these proportional? And I need to show work sooo for example on the first question we did in class we wrote down
-3/1
-6/2=-3/1
-9/3=3/1
I hope I’m not asking for too much but I want to start off my trimester strongly.
Answer:
Step-by-step explanation:
If y is proportional to x,
y ∝ x
y = kx
k = [tex]\frac{y}{x}[/tex]
Here, k = Proportionality constant
For y = -8 and x = -4,
k = [tex]\frac{-8}{-4}[/tex]
k = 2
For y = -4 and x = -2
k = [tex]\frac{-4}{-2}[/tex]
k = 2
For all values of x and y proportionality constant = 2.
For x = 0 and y = 0,
If we graph a line passing through these points, the line will pass through the origin (No y-intercept).
And we know that any line passing through the origin represents the proportional relation between x and y variables.
Therefore, given table represents the proportional relation.
Please I need the answer which one is it
Answer:
33
Step-by-step explanation:
33
Zoom in on the photo:)
True or False? When you are dividing 2 numbers, you have to check to see
if there is a decimal in the divisor. If there is a decimal in the divisor, you
have to multiply that number by a power of ten to move the decimal to the
right. You have to move the decimal the same number of times to the right
in the dividend too. Then you can divide your numbers.
Answer:
true, have a great day and i hope that helped :)
A good estimate of the age of the Earth is 4.54 × 10 9 years. What is this number written in standard form?
What method of solving a quadratic equation is shown here? A set of expressions shows the solution of the quadratic equation shown on line 1. Line 2 shows an equivalent expression of two factors. Line 3 show two separate equations with each factor set equal to zero. Line four show two solutions for the value of x. A. Quadratic formula B. Factoring C. Grouping
Answer:
Factoring
Step-by-step explanation:
When we are solving a quadratic equation by the factorization method, each factor is set as being equal to zero.
The solution of each bracket of factors gives the root of the quadratic equation.
For example;
x2 + 16 = 10x
We now have;
x2 - 10x + 16 = 0
x2 - 8x - 2x + 16 = 0
x(x - 8) -2(x - 8) = 0
(x-2) (x-8) = 0
(x-2) = 0
Then x = 2
Or
(x-8) = 0
x = 8
Hence;
x = 2 or x= 8
Nine is which percent of 25?
A. 16%
B. 27%
c. 36%
D. 225%
E 270%
Answer:
36%
Step-by-step explanation:
I don't know if you want the explanation or not.
what is the average of these numbers
3, 5, 6
Answer:
4.66666666667.
Step-by-step explanation:
3+5+6=14, and 14 divided by 3 (the number of numbers given) is 4.66666666667.
How would you complete this table also it has to show the work
Answer:
cweds
Step-by-step explanation:
hey can you state what's wrong in the given solution.
=》
[tex]0 = 0[/tex]
we know, zero is always equal to zero
=》
[tex]16 - 16 = 20 - 20[/tex]
because, 16 - 16 = 0
and 20 - 20 = 0
=》
taking 4 as common from 16 - 16 and 5 as common from 20 - 20
[tex]4(4 - 4) = 5(4 - 4)[/tex]
now dividing both sides by
(4 - 4)
=》
[tex] \frac{4(4 - 4)}{(4 - 4)} = \frac{5(4 - 4)}{(4 - 4)} [/tex]
=》
[tex]4 = 5[/tex]
because, (4 - 4) in denominators of both sides cancels out (4 - 4) in numerator of both sides.
=》
[tex]2 + 2 = 5[/tex]
we know, 4 = 2 + 2 , so plugging (2 + 2) in place of 4
Answer:
i also guess 2+2=4 not 5 ╮(╯▽╰)╭
plzz help it's due today
Answer:
c
Step-by-step explanation:
c c
Answer:
AC
AC is the only line wich pentrate the circle
Please answer this quickly
a student finshed 8 of her quiz problems in class. if the ratio of problem she finished to problems she still had left was 4:1 how many home work problems did she have total
Answer:
10
Step-by-step explanation:
I can't really explain this well but, when you double 4 you get 8 (which is how many she did), so since you doubled 4 you also have to double 1 which would be 2. Then add 8 and 2 and you get 10
−
2
x
+
y
=
−
1
2
x
+
5
y
=
7
Answer:
I got you the answer is X = 14 and Y = 35
Complete the equation to show how to find the sum of 7/10 and 20/100. Write your answers in the boxes. HALP MEH PLS
Answer:
9/10
Step-by-step explanation:
To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.
plz help me with this :(
Answer:
m is equals to 49 degree + 31 degree so which means it's 80°
Look at this graph what is the y- intercept?
Can someone help me with my homework, please?
Answer:
6 is 45° 1 is 45° x=10 hope this helps
Answer:
1) 45. Since it is congruent/corresponding to angle 7, which is 45 degrees.
2) 135. Because a straight line is 180 degrees, I substracted 45 from 180, getting 135 degrees, the measure of angle 1.
3) x = 20. Look at the work below.
Step-by-step explanation:
180 - 45 = 135
____________________________________________________________
5x + 35 = 135
-35 -35
5x = 100
divide by 5
x = 20
10 pounds of onions cost $100 how many pounds of onions can get with $150
Answer:
15
Step-by-step explanation:
$100 / 10 pounds = $10 / pound
$150 / 10 dollars = 15 pounds of onions
.
.
.
.
.
.
.
.
.
.
.
.
.
.
..
.
.
.
.
.
.
.
..
.
.
.
.
.
..
.
.
.
Answer:
Carlos i think because he got menus faster then Melissa
Step-by-step explanation:
Write a real-world problem that could be
represented by the equation 2x + 5 = 35.
Then solve the equation.
Answer:
2x+5=35.
2x+5-5=35-5
2x=30
2x/2=30/2
x=15
A four-sided figure has 4 congruent sides,
Which plane figure best fits this description?
A)kite
B)quadrilateral
C)rectangle
D)Thombus
E)square
Answer:
Step-by-step explanation:
D Thombus
The measure of angle A is equal to x degrees. The measure of angle B is equal to 95 degrees. Angles A and B are supplementary. Find m angle A
Answer:
95°
Step-by-step explanation:
Since both angles are supplementary, they have the same degree.
If angle B = 95°, angle A is also = 95°
Name the angles that are adjacent to
Answer:
angle k and n are adjacent to angle j
Find the radius of a circle which has a sector area of 9 pi whose central angle is 90 degrees.
Answer:360/90 = 4
Total area = 4 times that of the sector.
Step-by-step explanation:
A 90 deg sector has 1/4 the area of the circle.
Total circle area = 4*9pi = 36pi
Answer:
The area is A= 3/2π
Step-by-step explanation:
The area of whole circle is:
A
c
=
π
×
r
2
=
9
π
The central angle
60
o
is
1
6
of a full angle, so the area of the sector is:
A
s
=
1
6
A
c
=
1
6
×
9
π
=
9
6
π
=
3
2
π
The daily advertising revenue (in dollars) for a local newspaper is given by the function R(t) = -18t2 + 720t – 103, where t is number of years that the paper has been in production. What is the daily advertising revenue after the paper has been in business for 15 years?
Answer:
6647
Step-by-step explanation:
The computation of the advertising revenue for 15 years is shown below:
Given that
r(t) = -18t^2 + 720t - 103
where
t = number of years = 15
now put the value of t in the above equation
= -18(15)^2 + 720(15) - 103
= -4050 + 10,800 - 103
= 6647
Type the slope of the line PARALLEL to y = 6X -3 *
Your answer
Answer:
6
Step-by-step explanation:
Look for the x, the number before x tells you the slope
Find (-3/7) divided (-1 1/14)
Answer:
2/5
Step-by-step explanation:
first, we convert the mixed fractions to improper fractions,
[tex]-1\frac{1}{14}=\frac{15}{14}[/tex]
so then we find what [tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex]
[tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex] = [tex]-\frac{3}{7} * -\frac{14}{15}[/tex]
and that equals [tex]\frac{3*14}{7*15}[/tex] , which equals [tex]\frac{42}{105}[/tex]. We can simplify that to 2/5