what is 1/8 times 2/7 in simplest form
Answer:
decimal form: 0.0357
fraction form: 375/10000
Step-by-step explanation:
Which geometric series converges?
Answer:
Option 2: 1 + 1/2 + 1/4 + 1/8+...
Step-by-step explanation:
When a geometric series converges, it has a common ratio that is in between -1 and 1. We can start by finding the common ratios of all the options and then see which one converges.
In the first option, each term is 3 times the term before it, meaning it has a ratio of 3. 3 does not fit in the range we defined, so this series does not converge.
In the second option, each term is half the term before it. This means the common ratio is 1/2. 1/2 is in the range, so this series converges.
In the third option, we can see that the common ratio is -4 since it is the number being brought to a power. -4 does not fit in the range we defined, so this series does not converge.
In the fourth option, we can see the common ratio is 2 since it is the number you multiply by tone more time to get the next term. 2 does not fit in the range we defined, so this series does not converge.
From this, we can see the second option(1 + 1/2 + 1/4 + 1/8+...) is the solution.
The geometric series [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] converges by the rule of convergence. Thus, the option [tex]2[/tex] from the given options is correct.
When a geometric series converges, it has a common ratio that is in between [tex]-1[/tex] and [tex]1[/tex].
The convergence of the geometric series depends on the common ratio [tex]r[/tex]. When [tex]r[/tex]>1, then the series diverges.When [tex]r[/tex]<1, then the series converges, and when [tex]r[/tex] = 1, then the series oscillates.
The common ratio [tex]r[/tex] of the series [tex]\dfrac{1}{81} +\dfrac{1}{27} +\dfrac{1}{9} +\dfrac{1}{3}[/tex] is greater than [tex]1.[/tex] So, the series diverges.
For the series, [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] , the common ratio [tex]r[/tex] is [tex]\dfrac{1}{2}[/tex], which is less than [tex]1[/tex] . So, the series converges.
For the series, [tex]\sum 7(-4)^n[/tex] , here the common ratio is [tex]-4[/tex] which does not lie in the range of convergence. Thus the given series is not convergent.
For the series,[tex]\sum \dfrac{1}{5}(2)^{n-1}[/tex] the common ratio is 2. So, the series is not convergent.
The geometric series is [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex].
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in right teanglie ABC shown below what is the degree measure of \_ C!!
please help me
Answer:
20 use https://www.calculator.net/triangle-calculator.html
Step-by-step explanation:
Acute Isosceles Triangle
Side a = 1
Side b = 1
Side c = 0.51764
Angle ∠A = 75° = 1.309 rad = 5/12π
Angle ∠B = 75° = 1.309 rad = 5/12π
Angle ∠C = 30° = 0.5236 rad = π/6
C=30°B=75°A=75°b=1a=1c=0.518
Area = 0.25
Perimeter p = 2.51764
Semiperimeter s = 1.25882
Height ha = 0.5
Height hb = 0.5
Height hc = 0.96593
Median ma = 0.61966
Median mb = 0.61966
Median mc = 0.96593
Inradius r = 0.1986
Circumradius R = 0.51764
Vertex coordinates: A[0, 0] B[0.51764, 0] C[0.25882, 0.96593]
Centroid: [0.25882, 0.32198]
Inscribed Circle Center: [0.25882, 0.1986]
Circumscribed Circle Center: [0.25882, 0.44829]
+ Show Calculation Steps
Ill do anthing please help!!
Answer: 2π ft^2
Step-by-step explanation:
Area of a circle= π x the radius ^2
here your diameter is 4, and the radius is equivalent to half of the diameter so your radius equals 2.
A= π x 2^2
Find the measure of the arc or angle indicated. NO LINKS.
9514 1404 393
Answer:
10. A) 120°
11. D) 40°
12. D) 54°
13. A) 101°
Step-by-step explanation:
The applicable rules of angles and arcs are ...
the whole is the sum of the partsarcs of a circle total 360°an inscribed angle intercepts an arc of twice its measure__
10) Angles C and L intercept the same arc (DE) so will have the same measure.
15x = 16x -4
4 = x . . . . . . . . add 4-15x
arc DE = 2(15x) = 30(4) = 120 . . . degrees
__
11) Arc VW is twice the measure of angle X, so ...
9x +8 = 2(5x)
8 = x . . . . . . . . . subtract 9x
∠VXW = 5x = 5(8) = 40 . . . degrees
__
12) Arc EFG is twice the measure of angle W, so ...
70° +FG = 2(88°)
FG = 106° . . . . . . . . . subtract 70°
Arc FGW is twice the measure of angle E, so ...
106° +GW = 2(80°)
GW = 54° . . . . . . . . . . subtract 106°
__
13) Arc ST is twice the measure of angle R. The sum of arcs is 360°.
RS +ST +TR = 360°
119° +2(70°) +TR = 360°
TR = 101° . . . . . . . . subtract 259°
At a customer service call center for a large company, the number of calls received per
hour is normally distributed with a mean of 130 calls and a standard deviation of 10
calls. What is the probability that during a given hour of the day there will be less
than 129 calls, to the nearest thousandth?
Statistics Calculator
.460Answer:
Step-by-step explanation:
How much principal must be deposited to have a balance of $2,229,
compounded semiannually at 3% for 3 years?
Answer:
2038.51
Step-by-step explanation:
Compound interest formula:
[tex]FV=PV(1+\frac{i}{n})^{n*t}\\2229=PV(1+\frac{.03}{2})^{2*3}\\2229=PV(1.093443264)\\2037.514547=PV[/tex]
Write (4b^4)^2 without exponents.
Answer:
(4*b*b*b*b)*(4*b*b*b*b)
komplike türkçe karşılığı
Answer:
football is better
Step-by-step explanation:
football is better
Cevap: Yapılması zor olan
ẞaşarılar dilerim
Find the distance between the points (-15, 3) and (-9, 8).
Answer:
61 units
Step-by-step explanation:
Calculate the work done.
A crane lifts 5,000 newtons to the top of a roof which is 6 meters high.
Answer:
30, 000 Nm
Step-by-step explanation:
F = mg = 5000 N
h = 6 m
Work done
W = mgh = 5000*6= 30, 000 Nm
Answer:
30000 nm
Step-by-step explanation:
What is the measure of xº? Extra points !
Answer:
15 ° is correct answer
HELP
What is the equation of the trend line in the scatter plot ?
Answer:
y=-x+8
Step-by-step explanation:
Slope = (y₂-y₁)/(x₂-x₁) = (1-8)/(7-0) = -7/7 = -1
Y-intercept = (0,8)
Therefore, the equation of the trend line is y=-x+8
i will give Brainiest if you are right
Answer:
d) $7.82
Step-by-step explanation:
just multiply the 2 numbers
What is the volume of the cone?
Answer:
24π cm³
Step-by-step explanation:
Given the following data;
Radius, r = 3 cm
Height = 8 cm
To find the volume of a cone;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the equation, we have;
[tex] Volume = \frac{1}{3} * \pi * 3^{2}*8 [/tex]
[tex] Volume = \frac{1}{3} * \pi *9 *8 [/tex]
[tex] Volume = \pi * 3 *8 [/tex]
Volume of cone = 24π cm³
Pls help I need a good grade
Answer:
5. 12, 6. 14, 7. 36, 8. 17, 9. 8, 10. 24
Step-by-step explanation:
(05.05 HC) Figure ABCD has vertices A(-4, 1), B(2, 1). C(2, -5), and D(-4, -3). What is the area of figure ABCD?
A:24
B:30
C:36
D:45
Answer:
The answer is A
Step-by-step explanation:
I got it right on the test.
What's the first step in order to solve the exponential equation?
4-^5x = 21
Divide both sides by 21
O Convert the equation to a logarithm with a base of 21
O Divide both sides by 4
O Convert the equation to a logarithm with a base of 4
O The equation is already solved.
Answer:
I think it's A but I'm not sure
Find the area of the credit card:
2 1/4 inch, 3 1/3 inch.
Answer:
4
Step-by-step explanation:
How to find right triangle with Pythagorean theorem
Answer:
By using the formula of;
A² + B² = C²
Where A and B could be either of the 2 legs and C always have to be the hypotenuse of the right triangle. Hypotenuse is the longest leg of the triangle is the leg that's opposite to the right angle of the right triangle.
Hope this helps! I have attached a diagram for u to help you understand:
Are the polynomial functions even or odd ?
If you mirror the graph along the x axis and it lies on itself ( mirror image) it is even, if not it is odd.
If you mirror the top graph the high/ low points would be opposite so the top graph is odd
The bottoms graph can be mirrored so the bottom graph is even.
one banana contains 105 calories. what percent of a 2000-calorie diet is contained in one banana
More than 6% . I don't know exactly how much, but I know it's more than 6% . Hope that helps..
14) 4.5a = 9.0
15) 4.8b = 36
Problem Solving Strategy: Write an Equation
Write an equation for each problem using the variable -n. Then solve and check the equation.
16) Allan has 84 baseball cards. This is 19 fewer cards than Mike. How many baseball cards does Mike have?
17) Jamie can ride her bike 3 times as fast as Michelle can jog. If Jamie rides her bike at a rate of 12 miles per hour, how fast can Michelle jog?
Problem Solving Strategy: Mental Math
Study each equation, then solve.
18) 5 + r = 6 - r
19) z - 16 = - 16
20) 7n - 7 = 0
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
The sixth grade class at Kennedy Middle School participated in a fundraiser. Each day they raised twice as much as the day before. On the first day they raised $24.
How much money did they raise over all five days of the fundraiser?
Answer options with 5 options
A.
$120
B.
$240
C.
$360
D.
$384
E.
$744
Answer:
Day 1- 24
Day 2- 48
Day 3- 96
Day 4- 192
Day 5- 384
Step-by-step explanation:
384, or C.
Distributive property
2(x + 1)
Answer:
Multiply using the distributive property which will give you the answer 2x + 2.
Step-by-step explanation:
Answer:
2x + 1
Step-by-step explanation:
2 * (x + 1) |
\/
2x + 1
Evaluate f(3m-4) given
The equation of a circle is (x-1)^2 +(y-2)^2=4. What is the center of the circle and what is the radius of the circle?
Answer:
Step-by-step explanation:
(x-1)²+(y-2)² =4 compare the given equation with the general one
(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius
so center is at ( 1, 2) and radius is 2
middle school math (05.02)The area of the parallelogram below is square meters. 6 m 8 m 2 m Numerical Answers Expected! (Picture included)
13. What is the pressure on the bottom of a water tank filled to a depth of 4 feet? O A. 1.73 psi OB. 62.4 psi C. 249.6 psi D. 184.2 psi
Pressure is defined as the force applied perpendicular to an object's surface per unit area across which that force is dispersed. The correct option is A.
What is pressure?Pressure is defined as the force applied perpendicular to an object's surface per unit area across which that force is dispersed.
The density of water is equal to 997 kg/m³, while the acceleration due to gravity is 9.81 m/s², also, given the depth of the water is 4 feet(1.2192 meters). Therefore, the pressure on the bottom of a water tank filled to a depth of 4 feet is,
Pressure = ρ × g × H = 997 × 9.81 × 1.2192 = 11924.47 N/m²
Now, If we convert the pressure from N/m² to psi, then we have to divide 11924.47 N/m² by 6895, therefore, the pressure will be,
Pressure = 11924.47 N/m² / 6895 = 1.729 psi ≈ 1.73 psi
Hence, the correct option is A.
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PLS HELPPPPPP OMG PLSSSSSSSSSSSSSS LOOK AT PHOTO PLSSSS HELPPP
Answer: B
Step-by-step explanation: The line crosses the Y axis at 3