Answer:
.25 cents a pizza
Step-by-step explanation:
divide the 8 dollars by 32 to get 25 cents for the unit price
A rectangle has an area of 32 square feet and a perimeter of 24 feet. What is the shortest of the side lengths, in feet, of the rectangle?
Answer:
8 ft or 4 ft
Step-by-step explanation:
I`m not sure but I think it might be 8 ft
eleven thirds times seven thirds times five thirds
Answer:
three hundred and eight five twenty sevenths
Hartz Rental Car Company charges $19. 95 per day plus $0. 10 per mile to rent a compact car. Lee rented a car for two days and the total bill was $89. 75. How many miles did she drive? WRITE the Solution, use a decimal!
Answer:
698 Miles
Step-by-step explanation:
89.75-19.95=69.8
69.8/0.10=698
WILL GIVE BRAINLIEST
a(down)1 = 2
a(down)n=-3a(down)n-1 + 2
It looks like you're given a recursive sequence [tex]\{a_n\}[/tex] defined by
[tex]\begin{cases}a_1 = 2 \\ a_n = -3a_{n-1} + 2 & \text{for }n>1 \end{cases}[/tex]
and I assume you wish to solve it.
By definition of the n-th term [tex]a_n[/tex], we have
[tex]a_2 = -3a_1 + 2[/tex]
[tex]a_3 = -3a_2+2 = -3(-3a_1+2)+2 = (-3)^2a_1 - 3\times2 + 2[/tex]
[tex]a_4 = -3a_3+2 = -3((-3)^2a_1 - 3\times2 + 2) + 2 = (-3)^3a_1 +(-3)^2\times2-3\times2+2[/tex]
and so on.
Notice the patterns:
• the exponent of -3 in the coefficient of [tex]a_1[/tex] on the right side is always 1 less than the subscript on the left side
• the sum of terms not involving [tex]a_1[/tex] is a geometric sum of (subscript - 1) terms,
[tex]2 = 2 \times(-3)^0[/tex]
[tex]-3\times2+2 = 2 ((-3)^0 + (-3)^1)[/tex]
[tex](-3)^2\times2-3\times2+2 = 2 ((-3)^0 + (-3)^1 + (-3)^2)[/tex]
This suggests that the general n-th term is
[tex]a_n = (-3)^{n-1}a_1 + 2((-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2})[/tex]
and with [tex]a_1=2[/tex], this becomes
[tex]a_n = 2(-3)^{n-1} + 2((-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2})[/tex]
[tex]a_n = 2((-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2} + (-3)^{n-1})[/tex]
or more compactly in sigma notation,
[tex]a_n = 2 \displaystyle \sum_{k=0}^{n-1} (-3)^k[/tex]
We can go on to get a closed form for [tex]a_n[/tex]. Let S denote the sum,
[tex]S = (-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2} + (-3)^{n-1}[/tex]
Multiply both sides by -3 :
[tex]-3S = (-3)^1 + (-3)^2 + (-3)^3 + \cdots + (-3)^{n-1} + (-3)^{n}[/tex]
Subtract this from S - lots of terms will cancel:
[tex]S - (-3S) = (-3)^0 - (-3)^{n}[/tex]
[tex]S + 3S = 1 - (-3)^n[/tex]
[tex]4S = 1 - (-3)^n[/tex]
[tex]S = \dfrac{1 - (-3)^n}4[/tex]
It follows that the n-th term of the sequence is explicitly given by
[tex]a_n = 2S = \boxed{\dfrac{1 - (-3)^n}2}[/tex]
Edit: Just noticed your comment. You can get the 5th term by plugging the 4th term back into the recurrence:
[tex]a_1 = 2[/tex]
[tex]a_2 = -3a_1 + 2 = -3\times2 + 2 = -4[/tex]
[tex]a_3 = -3a_2 + 2 = -3\times(-4) + 2 = 14[/tex]
[tex]a_4 = -3a_3 + 2 = -3\times14 + 2 = -40[/tex]
[tex]a_5 = -3a_4 + 2 = -3\times(-40) + 2 = \boxed{122}[/tex]
Or, using the n-th term we found above,
[tex]a_5 = \dfrac{1 - (-3)^5}2 = \dfrac{1 - (-243)}2 = \dfrac{244}2 = \boxed{122}[/tex]
let F(x) = x^2 + ax + b when a and b are integers, if F(3+root5) = 0 then what is value of F(4) ?
Answer:
f(4)=-4
Step-by-step explanation:
I need HELPPPPP pleaseeeee
Answer:
$84 per person because if multiply 84 by 4 its 168
84 per person
Step-by-step explanation:
84+84=168
168+84=252
252+84=336
helpppppppppppppppppppp
Answer:
Choose C
Step-by-step explanation:
because one change in the X axis = 8 units up in the Y axis
HELP!! 2. in the figure, x is an exterior angle to the triangle below.
a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.
Step 1: __ Step 2: __ Step 3: __
(b) what is the measurement of < x ?
Answer:
< x = 120°
Step-by-step explanation:
Step 1:
According to angle sum property,
y + 50 + 70 = 180
Step 2:
x and y are linear pairs, forming a supplementary angle.
Therefore,
x + y = 180
Step 3:
Since they are both equal to 180, equate the values
y + 50 + 70 = x + y
x = 70 + 50
x = 120
The only solution of the equation x2 bx 16 = 0 is x = 4. What is the value of b?.
The value of b for the provided quadratic equation, for which the only solution of the equation is x=4, is -8.
What is a quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here, (a,b,c) are the real numbers and (x) is the variable.
The given quadratic equation in the problem is,
[tex]x^2 +bx +16 = 0[/tex]
The only solution of the equation is x = 4. Thus, put the value of x in the above equation.
[tex]\begin{aligned}\\(4)^2 +b(4) +16 &= 0\\16+4b+16&=0\\4b&=-32\\b&=-\dfrac{32}{4}\\b&=-8\\\end[/tex]
Thus, the value of b for the provided quadratic equation, for which the only solution of the equation is x=4, is -8.
Learn more about the quadratic equation here;
https://brainly.com/question/1214333
Answers:
A.5
B.9
C.10
D.13
Need the answer ASAP
Answer:
x = 5
Step-by-step explanation:
See attached image.
Some students are going on a field trip. The cost of the trip is $100, in addition to $7per student. Write an equation that relates the total cost of the trip, C, to the number of students attending,n.
Answer: C= 100+7n
Step-by-step explanation:
arrange the following in descending order. 1. 56, 0.56, 15.6 1.65
Answer:
15.6, 1.65, 1.56, .56
Step-by-step explanation:
it is just greatest to least
Solve this please, I really need help.
For this equation, the bottom part of the equation cannot be zero, so the domain at the moment is:
[tex]x > 4[/tex]
However, also on top, the numerator includes a square root which can equal zero but cannot be negative, thus the domain is
(6, ∞)
Hope that helps!
what percent is 20 out of 80?
Answer: 25%
Step-by-step explanation: brainlest will be nice
Answer:
25%
Step-by-step explanation: IN THE PICTURE
1st picture - Full 2 ways to do this with explanation
2nd picture - First way to do this with explanation
3rd picture - Second way to do this with explanation
THANKS!
Why are variables used in math?
They represent something in the real word or an unknown.
Variables are added to make math problems more complicated.
They make math problems more interesting.
Variables represent the numbers the problem tells you.
Answer:
They represent something in the real word or an unknown.
Answer:
They represent something in the real word or an unknown.
Step-by-step explanation:
the mean of the scores is 90 what is the sum of the scores
Answer:
x*90= your answer.
Step-by-step explanation:
X being however many test scores there are.
If you have 4 test scores, you would multiply 4*90=360
If you had 3 test scores, you would do it again, 3*90=270.
And so on. Because the test scores number wasn't listed, I provided some answers on how to solve it.
Which of the following is important to do when planning an experiment? (1 point)
Make sure that your friends will be there when you do the experiment.
Make sure that the experiment is safe to conduct.
Make sure that nobody else can copy the experiment.
Make sure that you don't know what the experiment is testing.
Answer:
B
Step-by-step explanation:
Because none of the other answers make sense
Answer:
Make sure that the experiment is safe to conduct.
Step-by-step explanation:
If it is noy safe do not conduct it because you could get hurt.
Hope this helps!
Help me please help me on number 20 you will get Brainliest 10 POINTS
Answer:
12 peppermint cupcakes 16 white cupcakes 22 chocolate cupcakes
Step-by-step explanation:
x+(x+4)+(x+(x+4)-6)=50
4x+4+4-6=50
4x+4-2=50
4x+2=50
4x=48
x=48/4
x=12 peppermint cupcakes
12+4= 16 white cupcakes
12+12+4-6=
12+16-6=
12+10= 22 chocolate cupcakes
check:
12+16+22=50
28+22=50
50=50 ✓
The president of the student council wants to survey the student population. She decides to take a random sample of
100 students. She puts every student's name on a rectangular slip of paper, each with the same length and width.
Then she places the slips of paper into a hat and, without looking, selects 100 slips of paper. Is this a simple random
sample?
Yes, because the slips of paper were all the same shape and size.
O No, because she did not look into the hat while she was selecting the sample.
O Yes, because she did not look into the hat while she was selecting the sample.
O No, because she did not mix the pieces of paper in the hat before selecting the sample.
Using sampling concepts, it is found that the correct option regarding if this is a random sample is given by:
Yes, because the slips of paper were all the same shape and size.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, since the slips have the same shape and size, each name has an equal probability of being chosen, hence it is a random sample and the correct option is:
Yes, because the slips of paper were all the same shape and size.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Answer:
D. No, because she did not mix the pieces of paper in the hat before selecting the sample.
Step-by-step explanation:
Two sets of three consecutive integers have a property that the product of the larger two is one less than seven times the smallest.set up and solve an equation that can be used to find both sets of integers
Answer:
(x + 1)(x + 2) = 7x - 1
{1, 2, 3} and {3, 4, 5}
Step-by-step explanation:
Let the three consecutive integers be x, x + 1, and x + 2.
(x + 1)(x + 2) = 7x - 1
x² + 3x + 2 - 7x + 1 = 0
x² - 4x + 3 = 0
(x - 3)(x - 1) = 0
x - 3 = 0 or x - 1 = 0
x = 3 or x = 1
For x = 1,
x = 1, x + 1 = 2, x + 2 = 3
For x = 3,
x = 3, x + 1 = 4, x + 2 = 5
Answer: {1, 2, 3} and {3, 4, 5}
HELP DUE IN 20 minsThe construction worker works for $5.50 per hour, but he does not get paid for his lunch time. He spent 3.8 hours for one onsite task, 1.3 hours for lunch and 4.4 hours on another on-site task yesterday. How much would the construction worker be paid?
Answer:
32.45
Step-by-step explanation:
Do this question if you are interested
[tex] - 2x ^{2} + x + 21 [/tex]
:)
[tex]-2x² + x + 21[/tex]
Common factor
[tex]-2x² + x + 21[/tex]
[tex]-1(2x²-x-21)[/tex]
Use the sum-product pattern
[tex]-1(2x²-x-21)[/tex]
[tex]-1(2x² +6x-7x - 21)[/tex]
Common factor from the two pairs
[tex]-1(2x² + 6x - 7x - 21)[/tex]
[tex]-1(2x(x + 3) - 7(x+3))[/tex]
Rewrite in factored form
[tex]-1(2x(x + 3) - 7(x+3))[/tex]
[tex]-1(2x-7)(x+3)[/tex]
Answer :-[tex]{\large{ \red{{{-1(2x-7)(x+3)}}}}}[/tex]
There were 30 multiple-choice problems on the test and he answered 70% of them correctly how many problems did he get right
Answer:
21 problems right
Step-by-step explanation:
To find the amount of problems he got right, you would have to multiply the amount of questions with the success rate
Amount of questions = 30
Success rate = 70% or 0.70
Amount of questions right = 30 x 0.70
= 21
He got 21 questions right!
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would gladly appreciate it! :D
There are 128 balls in a bucket. The balls are numbered from 1 to 128. One ball is randomly selected from the bucket. What is the probability that ball #92 is chosen
Answer:
1 in 128
Step-by-step explanation:
This may be wrong but wouldn't it be however many balls? It's chose at random?
Answer:
The probability is 1/128
Step-by-step explanation:
There is only ONE ball out of 128 with the #92. The chances it will be chosen is 1 in 128.
algebra question please helppp
Step-by-step explanation:
if u need a clearer photo please tell me
one year the population of a city was 354000. several years later it was 407100. find the percent increase
Answer:
15% increase
Step-by-step explanation:
Subtract 407100 minus 354000
Divide that amount by the absolute value of the starting value
Multiply by 100 to get a percent increase
Adele made bookmarks and name tags for her friends. The number of bookmarks she made is 4 times as many as the number of name tags she made. If she made 8 name tags, how many bookmarks did she make?
A.
12
B.
32
C.
40
Answer:
8 times 4 = 32
Step-by-step explanation:
B. she made 32
-3x+4y=7 y=3x-5 I NEED HELP PL Z HELP ME
[tex] - 3x + 4y = 7 \\ y = 3x - 5[/tex]
[Substitute the given value of y into the first equation][tex] - 3x + 4 \times (3x - 5) = 7[/tex]
[Distribute 4 through the parentheses][tex] - 3x + 12x - 20 = 7[/tex]
[Collect like terms][tex]9x - 20 = 7[/tex]
[Move the constant to the right-hand side and change its sign][tex]9x = 7 + 20[/tex]
[Add the numbers][tex]9x = 27[/tex]
[Divide both sides of the equation by 9][tex]x = 3[/tex]
[Substitute the given value of x into the second equation][tex]y = 3 \times 3 - 5[/tex]
[Multiply the numbers][tex]y = 9 - 5[/tex]
[Subtract the numbers][tex]y = 4[/tex]
[The possible solution of the system is the ordered pair (x,y)][tex](x,y)=(3,4)[/tex]
is that not right? or am I just wrong cause it says that it is not right please help
Answer:
98 cm²
Step-by-step explanation:
The area of a circle is:
[tex]A=\pi r^2[/tex]
A semicircle is half a circle therefore the area of a semicircle would be:
[tex]A=\frac{1}{2}\pi r^2[/tex]
We can plug in the given values into the equation:
[tex]A=\frac{1}{2}*3.142*(7.9)^2\\A=\frac{1}{2}*3.142*62.41\\A=\frac{1}{2}*196.09222 \\A=98.04611[/tex]
We need to round to TWO sigfigs meaning...
[tex]A=98 \ cm^2[/tex]
Sigfig rules:
Nonzero numbers are significant
Trailing zeros are significant (only if there is a decimal point)
Any sandwiched zero is signification (Ex: 405 --> 3 sigfigs)
What is the expression for "the sum of 8 times a number and two"?
8 × 2 N
8( N + 2)
8 N + 2
Answer:
8 N + 2
Step-by-step explanation:
==> 8 N + 2
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