Answer:
c(2) = -10
Step-by-step explanation:
c(1)=-20
c(n)=c(n-1)+10
Let n = 2 since n indicates the term number
c(2)=c(2-1)+10
= c(1) +10
= -20+10
= -10
What is the sum of the geometric series 2+6+18+...+486?
Answer:
728
Step-by-step explanation:
2+6+18+...+486
a=2
r=6/2=3
[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]
A rectangle has a height of t? + 7t +6 and a width of 2t + 1.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answer:
2t^3+15t^2+19t+6
Step-by-step explanation:
(t^2+7t+6)(2t+1)
=t^2*2t+t^2*1+7t*2t+7t*1+6*2t+6*1
=2t^3+15t^2+7t+12t+6
=2t^3+15t^2+19t+6
Work out the area of this circle take (pi) to be 3.142 and give your answers to 2 decimal places
Answer:
A = 63.63 m^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
r = d/2 = 9/2 = 4.5
A = 3.142 * (4.5)^2
A =63.6255 m^2
Rounding to 2 decimal places
A = 63.63 m^2
If angle AOC = 40 degrees, how many degrees is angle ABC?
80........................
i need help answering
Answer:c
Step-by-step explanation:
How much tomato juice is needed for a group of 4 people if each person gets ⅓ cup of juice? How much tomato juice is needed if they each get ⅔ cup of juice?
Answer:
1. At 1/3 cup per person, the amount of tomato juice needed is [tex]1\tfrac{1}{3} \ cups[/tex] of tomato juice
2. At 2/3 cup per person, the amount of tomato juice needed is [tex]2\tfrac{2}{3} \ cups[/tex] of tomato juice
Step-by-step explanation:
1. Here we have that each person gets 1/3 cup of juice
Number of people in the group = 4
Amount of tomato juice each person gets = 1/3 cup
Total amount of tomato juice required = 4 × 1/3 = 4/3 cups of tomato juice
In proper fractions, we have;
Total amount of tomato juice required = [tex]1\tfrac{1}{3} \ cups[/tex] of tomato juice.
2. Where we have that;
Amount of tomato juice each person gets = 2/3 cup
Number of people in the group = 4
∴ Total amount of tomato juice required = 4 × 2/3 = 8/3 cups of tomato juice
In proper fractions, we have;
Total amount of tomato juice required = [tex]2\tfrac{2}{3} \ cups[/tex] of tomato juice.
Which expression is equivalent to - 4(m - 3)?
Answer:
12 - 4 m
Simplify: -4(m -3)
Step-by-step explanation:
1: Solve the expression by using the distribute property
2: Simplify -4(m -3)
3: Done
Answer: 12 - 4 m
Hope this helps.
Someone please help me
Answer:
hi buddy
the answer is a if we divide both with equation 4 then you can get the answer
hope it likes you.....
please mark brainlist
A bag contains four red marbles, nine green marbles, four blue marbles, and three yellow marbles. If Lisa draws a random marble
from the bag, what is the probability that it will be a red, green, or blue marble?
Answer:
The answer is 17/20
Step-by-step explanation:
idk
Answer (*shrugs*):
Red = 1/5
Green = 9/20
Blue = 1/5
If you spun the spinner 1 time, what is the probability it would land on a white piece?
Answer:
4/7
Step-by-step explanation:
Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7
What is the rate of change
Answer:
Slope = 0
Step-by-step explanation:
Let's use the equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this problem.
We have two points: (2,0) and (-2, 0)
Let's plug them both into the equation shown above.
[tex]\frac{0 - 0}{-2 - 2}[/tex]
Solve.
0 - 0 = 0
-2 - 2 = -4
[tex]\frac{0}{-4}[/tex] = [tex]-\frac{0}{4}[/tex] = 0
A zero in the numerator means this equation has a slope of 0.
Any line with a slope of 0 is a horizontal line.
Slope (rate of change) = 0
Please find the surface area of the sphere. Round your answer to the nearest hundredth.
Surface area = [tex]\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3}[/tex] x 3.14 x 3 x 3 x 3 = 3.14 x 4 x 3 x 3 = 113.04 yd^2 = approx. 113.1 yd^2
Find the percent of all values in a normal distribution for which z ≤ 1.00, to the nearest tenth of percent.
Answer:
84.1% of all values in a normal distribution have z ≤ 1.00.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
The percent of all values in a normal distribution for which z ≤ 1.00.
This is the pvalue of Z = 1.
Z = 1 has a pvalue of 0.8413.
Converting to percentage, to the nearest tenth.
84.1% of all values in a normal distribution have z ≤ 1.00.
please help! i dont get this
ANSWER: D.180
EXPLANATION: A straight angle is 180 degrees
A straight angle changes the direction to point the opposite way. Sometimes people say "You did a complete 180 on that!" ... meaning you completely changed your mind, idea or direction.
Please help ASAP....
Answer:
7 is D and 8 is D
Step-by-step explanation:
I'm assuming you were asked for the volume of both of these.
7. The area of the trapezoid is 18 then multiply by the length of 8 to get 144 units cubed.
8. The area of the trapezoid is 28 then multiply by the length of 14 to get 392 units cubed.
a spinner is split into 20 equal sections and numbered from 1 to 20 find P(even and odd)
Answer: 0
Step-by-step explanation:
The probably of even AND odd is not possible because an outcome can not be both simultaneously
Find the value of c so that the polynomial P ( x ) = 4x 3 + c x 2 + x + 2 have the same remainder when it is divided by x-2 and x+1?
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you please don't forget to thank me ...
For the polynomial P (x) = 4x³ + cx² +x + 2 the value of c is -13.
What is polynomial?Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.
The given equation of polynomial is,
P (x) = 4x³ + cx² +x + 2 (1)
Since, When polynomial is divided by x-2, and x+1 it gives the same remainder,
This implies that at x=2 and x=-1, the value of the polynomial will be equal.
P(2)=P(-1)
4×(2)³+c(2)²+2+2=4×(-1)³+c(-1)²+(-1)+2
32+4c+4=-4+c+1
3c=-3-36
3c=-39
c=-13
So, the value of c is -13.
To know more about Polynomial on:
https://brainly.com/question/11536910
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If x < 0 and y > 0, where is the point located
Answer:
rwrrwrwrr
Step-by-step explanation:
wrrwrrw
What is the volume of a cylinder with base radius 2
and height 9?
Answer:
18
Step-by-step explanation:
volume= r × h = 2 × 9= 18
Answer:
The volume is 144[tex]\pi[/tex].
Step-by-step explanation:
In order to calculate the volume of a cylinder, you have to find the area of it's base. Because a cylinder's base is a circle, you use the formula A=[tex]\pi r{2}[/tex]. Substituting in the radius's length would be A=[tex]\pi (4){2}[/tex], which is A=16[tex]\pi[/tex]. Now that we know the base area of the cylinder, we multiply it by the height, which is 9 to calculate the volume. Therefore, the volume of the cylinder would be 9×16[tex]\pi[/tex], which is 144[tex]\pi[/tex].
BRAINLIEST!!!!!!! ANSWER QUICKLY!!!!!!!!!!!!!!!!!!!!!!!
Hi, I need help. I have a question about the Big Bang and Evolution. I don't fully understand or believe what happened. Can someone with a great mind try to explain it. Good luck by the way, I will tell you what I think in the comments. I don't believe in the Big Bang, I doubt you can convince me, but if you are willing to try..........please do.
Answer:
The big bang is showing that there is tiny atoms. The atoms grouped up with gravity and more and more grouped making a super dense dot. The dot exploded making gases creating stars. The stars were bigger so they got new atoms to join creating planets. One planet named was suitable for life so tiny germs. The rest nobody knows.
Step-by-step explanation:
Y=12x+7 find an equation for the inverse relation
Answer:
y= 5x
Step-by-step explanation:
I hope this helps and that it is correct.
Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is 400 hours. What percent of light bulbs burn out within 12,300 hours?
Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
Find X. Please help me, I wanna make sure I’m doing good
Answer:
x = 0
Step-by-step explanation:
2x + 15 = x + 15 (Because STUR is a parallelogram) -->
x = 0
1)
Which choice could you use to find the volume of the given sphere? (π = 3.14)
A) V = 4(3.14)(4.5)3
B) V = 4/3(3.14)(4.5)2
C) V = 4/3(3.14)(4.5)3
D) V = (3.14)(4.5)3
2)
Determine the volume of the given sphere. (nearest tenth)
A) 91.1 cubic units
B) 286.1 cubic units
C) 381.5 cubic units
D) 401.6 cubic units
Step-by-step explanation:
(1) The radius of sphere is 4.5 units.
The volume of volume of sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
[tex]\pi=3.14\ , r=4.5[/tex]
So,
[tex]V=\dfrac{4}{3}\times 3.14\times (4.5)^3[/tex]
Option C is correct.
(2) If we solve the plugged values, then we get :
[tex]V=\dfrac{4}{3}\times 3.14\times (4.5)^3[/tex]
[tex]V=381.5\ \text{units}^3[/tex]
Option C is correct.
Mica and Denise are reading the same novel. Mica has read 1/2 of the novel, and Denise has read 2/5 of the novel. If Mica has read 216 pages more than Denise, how many pages are totally for this novel?
Answer:
The novel has 2160 pages.
Step-by-step explanation:
The number of pages of the novel is x.
Mica has read 1/2 of the novel, so x/2 = 0.5x.
Denise has read 2/5 of the novel, so 2x/5 = 0.4x.
Mica has read 216 pages more than Denise
This means that:
0.5x - 0.4x = 216
0.1x = 216
x = 216/0.1
x = 2160
The novel has 2160 pages.
Marsha has two cubes with one number on each side,each cube is numbered from 1 to 6 marsha rolls both number cubes at the same time. What is the probability that the total of numbers facing up will equal 12
Answer:
1/36
Step-by-step explanation:
If the cubes are numbered from 1 to 6 there is just one way that the sum of both of them equals 12 and this is when Marsha gets 6 in the first cube and 6 in the other.
Thus, to know what the probability that the total of numbers facing up will equal 12 we would have to calculate the probability that the first cube is 6 AND the second one is also 6.
The probability that the first cube has the number 6 is: 1/6
The probability that the second cube has the number 6 is: 1/6
We need to multiply this numbers because they both have to be 6 (rule of multiplication),
so: [tex]\frac{1}{6}(\frac{1}{6} )= \frac{1}{36}[/tex]
Thus, the probability that the sum of them equals 12 is 1/36
please help me with this problem !! (will give brainliest
Answer:
(4,3)
Step-by-step explanation:
f(x) = a(x-h)^2 +k is the vertex form of a parabola
where (h,k) is the vertex
f(x) = (x-4)^2 +3
yields a vertex of (4,3)
Answer: The answer is A 4,3
Step-by-step explanation:
1. In rectangle PQRS, PR = 20x - 16 and QS = x + 554. Find the value of x and the length of each diagonal.
Q
R
C. x = 30, PR = 584, QS = 584
А. x = 15, PR = 569, QS = 569
B. x = 30, PR = 292, OS = 292
how do I simplify this algebraic expression 3x+2a-4x
Start by changing the -4x to + -4x.
So we have 3x + 2a + -4x.
To simplify, we can only combine what are called our like terms and in this problem, we have a pair of like terms in our x terms.
3x + -4x simplifies to -x.
So our answer is -x + 2a.
Note that if you wrote your answer as -1x + 2a, it means the same thing. However, as we move farther into math, we usually tend to drop the -1 or 1 that is in front of a variable since it's implied
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-6, -3). What is the vertex of the function defined as
g(x) = -f(x) + 3?
Answer:
Step-by-step explanation: