Answer:
108 cm³
Step-by-step explanation:
Find the sum of the first 10 terms of the following series, to the nearest integer. 10, 40,160
Answer:3495250
Step-by-step explanation:
~geometric sequence
common ratio: r=4
formula: Sn=a1(1-r^n)/1-r
Sn=10(1-(4)^10)/1-4
=-10485750/-3
=3495250
The sum of the first 10 terms of the following series, to the nearest integer. 10, 40,160 would be 3495250.
What is the sum of terms of a geometric sequence?Let's suppose its initial term is a multiplication factor is r
and let it has total n terms, then, its sum is given as:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
(sum till nth term)
The given geometric sequence is
10, 40,160
common ratio: r=4
a = 10
n=10
We know that
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
[tex]S_{10} = \dfrac{10(4^{10}-1)}{4-1}\\S_{10} = \dfrac{10\times 1048575}{3}\\S_{10} = \dfrac{10485750}{3}\\S_{10} = 3495250[/tex]
Learn more about sum of terms of geometric sequence here:
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A number cube has side lengths of 114 inches. What is the volume, in cubic inches, of the number cube?
Answer:
V≈1.48×106in³
a Edge
114
in
Step-by-step explanation:
thank me later
Plsss help me, I need this right or I’m gonna fail, I’m so confused, I will give you Brainlist
Answer:
The answer should be both 6-8 and 4-6
Step-by-step explanation:
Considering 6 is at the end and the start it is able to go into both places.
I need the answer fast
Answer:
B. What was the highest temperature this month?
Step-by-step explanation:
Rory is recording the highest temperature for the duration of the day for month's worth of data.
B. is the easiest one to answer, as you simply will have to look for the greatest number within the set, and that will be the answer.
A. is too broad, and does not imply that only the "high temperature" is needed, rather just a leveled temperature within day in that month.
C. is the opposite of what Rory had recorded, and without data, he cannot answer it.
D. is answerable as well, but, again, the only temperature recorded is the high temperature. Temperature can fluctuate depending on the time of the day, and can be in the 50s one hour and the 90s in another.
~
Half of a substance will decay after 10 hours. If 150 g of a substance is present inititially, how much would be left after 3 days?
Please help with this question please!!:)
Answer:
w ≤ 35
Step-by-step explanation:
Help please!!!!:))))))))))))))
given: <1 congruent to <2
prove: AB is congruent to CB
Answer:
Because 3 and 2 are vertical angles
Step-by-step explanation:
Vertical angles are always equal or congruent
A student scored 82, 95, 90 and 87 on his first 4 tests. What would he
need to make on his 5th test to have an average 95.
Not gonna give an answer, sorry. Instead, I'll show you a similar example so you can be able to solve it.
An average test score is the sum of all the scores on an assessment divided by the number of test-takers.
For example, if three students took a test and received scores of 69, 87, and 92.
These numbers would be added together and then divided by three to get an average of 82.6.
I hope you know what to do now.
Answer:
Step-by-step explanation:
(82 + 95 + 90 + 87 + x) / 5 = 95 Add like terms on the left
(354 + x) / 5 = 95 Multiply by 5
354 + x = 95 * 5
354 + x = 475 Subtract 354 from both sides
x = 475 - 354
x = 121
On the first step, you need to add an x which represents the score he needs. You divide by 5 because that's how many scores there and and the 5 gives you an average.
For the probability experiment of selecting a chip at random from a bag
of 100 numbered chips, numbered 1-100. Calculate the probability of
selecting a number less than 10. Explain your thinking.
The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores. y = 6.5 x + 42.4
The equation below represents the trend line of a scatter plot showing the hours spent studying versus math test scores. y = 7.2 x + 34.7
If a student does not study for either test, on which test should the student expect the higher score?
A) on the science test because the rate of change is greater
B) on the math test because the rate of change is greater
C) on the science test because the y-intercept is greater
D) on the math test because the y-intercept is greater
Answer: C: on the science test because the y-intercept is greater
Step-by-step explanation: I got the question right on edge.
Answer:
C
Step-by-step explanation:
3RD TIME DOING THISS PLS ANSWER ILL GIVE BRAINLIEST!!!!!!!
Answer:
The answer is given below
Step-by-step explanation:
X Y
1 -2
2 1
3 4
4 7
5 10
PLEASE HELP!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the trigonometric ratios with their values based on the triangle shown in the diagram
this is the answer on edmentum
The matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CWhat is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The value of sin C will be
sin C = 3 / 5
The value of sin D will be
sin D = 4 / 5
The value of cos C will be
cos C = 4 / 5
The value of cos D will be
cos D = 3 / 5
The value of tan C will be
tan C = 3 / 4
The value of tan D will be
tan D = 4 / 3
The product of sin D and cos D will be
sin D × cos D = (4 / 5) × (3 / 5)
sin D × cos D = 12 / 25
The product of tan C and tan D will be
tan C × tan D = (3 / 4) × (4 / 3)
tan C × tan D = 1
The product of cos C and tan D will be
cos C × tan D = (4 / 5) × (4 / 3)
cos C × tan D = 16 / 15
Then the matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CMore about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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Me dorado has completed 75% of his morning run.
Answer:
yes
Step-by-step explanation:
NOT ACCEPTING LINK WILL AWARD BRAINLIEST!!!!
Find the volume of the pyramid, if:
The base is a rectangle with sides of 3 in and 5 in while the height of the pyramid is 10 in
Answer:
Answer:
the answer to this problem is50
Solve the equation for x. 2 and 2/5x + 2.8=10
HURRY
Answer:
Step-by-step explanation:
x=13
Sorry you asked me to jurry so i do not have time to explain
20 years from now I will be 4 times as old as my present age what is my present age ?
Step-by-step explanation:
your present age = 20/4 =5
Answer:
Your present is age 5
your present age = 20/4 = 5
HELPPP!
Use the mid-point rule with n = 2 to approximate the area of the region bounded by y equals the cube root of the quantity 16 minus x cubed y = x, and x = 0.
Please explain the answer
Answer:
The approximate area of the region using the midpoint rule with n = 2 is about 2.8418 square units.
Step-by-step explanation:
We want to use the midpoint rule with n = 2 to approximate the area of the region bounded by the graphs of:
[tex]\displaystyle y=\sqrt[3]{16-x^3}, y=x\text{ and } x=0[/tex]
This is shown in the graph below. Our area of interest is between the green, red, and blue lines.
First, find the intersection point of the two graphs:
[tex]\displaystyle x=\sqrt[3]{16-x^3}\Rightarrow x=2\Rightarrow (2, 2)[/tex]
Therefore, we will want to approximate from x = 0 to x = 2.
Note that the red graph (cubic root) is greater than the linear function for all x in the interval [0, 2].
Since the cubic function is greater than the linear function for all x in [0, 2], the area of the region will be the linear function subtracted from the cubic function. Hence:
[tex]\displaystyle \text{Area}=\int_{0}^2\sqrt[3]{16-x^3}-x\, dx[/tex]
We will let:
[tex]f(x)=\sqrt[3]{16-x^3}-x[/tex]
The midpoint rule is given by:
[tex]\displaystyle \text{Area}\approx \sum_{i=1}^nf\left(\frac{x_{i-1}+x_i}{2}\right)\Delta x[/tex]
Since the area is on the interval [0, 2] and n = 2, find the width:
[tex]\displaystyle \Delta x=\frac{2-0}{2}=1[/tex]
Hence, our x-coordinates are x₀ = 0, x₁ = 1, and x₂ = 2.
Therefore, by the midpoint rule:
[tex]\displaystyle \text{Area}\approx \sum_{i=1}^2f\left(\frac{x_{i-1}+x_i}{2}\right)(1)[/tex]
Substitute:
[tex]\displaystyle \text{Area}\approx (1)\left(f\left(\frac{0+1}{2}\right)+f\left(\frac{1+2}{2}\right)\right)[/tex]
Evaluate:
[tex]\displaystyle \text{Area}\approx\displaystyle f\left(0.5\right)+f(1.5)[/tex]
Evaluate:
[tex]\displaystyle \text{Area}\approx(\sqrt[3]{16-(.5)^3}-(.5))+(\sqrt[3]{16-(1.5)^3}-(1.5))}\approx 2.8418[/tex]
Hence, the approximate area of the region is about 2.8418 square units.
Notes:
The exact area is 2.80436... square units.
Answer:
2.8147
Step-by-step explanation:
See the attached writeup!
It's a windy explanation because really short explanations are impossible. If you're using a textbook, its explanation may be shorter, but probably unclear.
Help with 11 pls, thank you
Answer:
41°
Step-by-step explanation:
180-68=112
112-71=41
A book is 14 centimeters wide. Convert this width to inches.
The width of the book is __.
(Round to two decimal places as needed.)
Answer:5.5
Step-by-step explanation:
The key is to divide by 2.54. It was not terminating so I rounded.
HELP ME PLEASEEEEEEEEEEEEE
Answer:
c
Step-by-step explanation:
c trust me
Please help me with this question:(
Find the value of x plsss
Answer:
x=10.8
Step-by-step explanation:
9²+6²=c²
81+36=c²
117=c²
√117=10.81
x=10.81
Under the translation (x,y) → (x + 1, y + 3), the point (1,8) will become what point?
Answer:
[tex](1,8) \to (2,11)[/tex]
Step-by-step explanation:
Given
[tex](x,y) \to (x + 1,y+3)[/tex]
Required
Translation of [tex](1,8)[/tex]
We have:
[tex](x,y) \to (x + 1,y+3)[/tex]
This gives:
[tex](1,8) \to (1 + 1,8+3)[/tex]
[tex](1,8) \to (2,11)[/tex]
The area of a circle equals to 5cm^2 Find the radius of the circle.
[tex]Area = pi * r^{2} \\5 = 3.142 * r^{2} \\r^{2} = 5 / 3.142\\r^{2} = 1.59\\r = \sqrt{1.59} \\r = 1.26cm[/tex]
In a lab experiment, 2100 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 5 hours. How long would it be, to
the nearest tenth of an hour, until there are 48400 bacteria present?
Answer: 22.6
Step-by-step explanation:
Delta math answer , trust me
Find the length of the third side . If necessary, round nearest tenth 24. 18
Who can explain me ?
Answer:30 on delta math!
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
Solve, using linear combination.
3x – y = 4
2x + y = 6
Answer:
Point form: 2.2
Equation form: x=2, y=2
Answer:
3x-y+2x+y =4+6
5x. =10
x =2
y=6-4
y=2
Please helpppppppppppppppppppppppppppp
Answer:
N O T H I N G
Step-by-step explanation:
L O L
An experiment involves selecting a random sample of 256 middle managers for study. One item of interest is their annual incomes. The sample mean is computed to be $35,420.00. If the population standard deviation is $2,450.00, what is the standard error of the mean
Answer:
the standard error is 153.125
Step-by-step explanation:
given that
The random sample is 256
The sample mean is $35,420
And, the standard deviation is $2,450
We need to find out the standard error
We know that
= standard deviation ÷ √random sample
= 2450 ÷ √256
= 2450 ÷ 16
= 153.125
Hence, the standard error is 153.125