Answer:
20r^8s^-6
Step-by-step explanation:
expand -X(-5-4x) + 2(10x+3)
Answer:
4x^2 + 25x + 6
Step-by-step explanation:
-x(-5-4x) + 2(10x+3)
5x + 4x^2 + 20x + 6
4x^2 + 25x + 6
Question 6/6
What is the 100th term of the sequence with the following explicit rule: f(n) = 9n-1
А. 900
ОО
B. 899
Explanation:
Replace n with 100 and simplify
f(n) = 9n-1
f(100) = 9(100)-1
f(100) = 900-1
f(100) = 899
The 100th term is 899
On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line
Answer:
the 3rd graph
Step-by-step explanation:
hope this helps! got it right edge 2021
Here we have a problem with translations, where translations are operators that act on functions and move the whole graph of the function in some given direction.
Sadly, the options for this question are missing, so I will answer in a general way and will post a graph at the end of the answer.
We should start by defining the translation used here.
Horizontal translation:
For a general function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the translation is to the left.If N is negative, the translation is to the right.Here we have that the original function is f(x) = |x|, and the translated function is g(x) = |x + 2|
Then we have:
g(x) = f(x + 2).
We can conclude that this is a translation of 2 units to the left.
The graph of the two equations can be seen below:
If you want to learn more, you can read:
https://brainly.com/question/24401156
Between 1896—when the Dow Jones index was created— and 2012, the index rose in 65% of the years. Based on this information, and assuming a binomial distribution, what do you think is the probability that the stock market will rise a) next year? b) the year after next? c) in four of the next five years? d) in none of the next five years? e) For this situation (modeling Dow Jones index), what assumption of the binomial distribution might not be valid? Are the years independent?
Answer:
a) P(x) = 0.67
b) P(y) = 0.67
c) P(x=4) = 0.3325
d) P( x = 0 ) = 0.0039
e) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent
Step-by-step explanation:
A) The probability that the stock market will rise next year = P(x) = 0.67
assuming next year to be X
B) Probability that the stock market will rise the year after next year
= P(y) = 0.67 and this is because the probability is independent of that of the previous years
C) Probability that the stock market will rise in four of the next five years
= P(x=4) = 0.3325
D) probability that the stock market will rise in none of the next five years
= P( x = 0 ) = 0.0039
E) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent
The probability that the stock market will rise next year = P(x) = 0.65.
The probability that the stock market will rise the year after next is p(y) = 0.65.
The probability that the stock market will rise in four of the next five years is 0.00325.
The probability that the stock market will rise in none of the next five years is 0.0039.
Independent events and probability can be defined as those occurrences that are not dependent on any specific event.
GivenBetween 1896—when the Dow Jones index was created— and 2012, the index rose in 65% of the years.
Based on this information, and assuming a binomial distribution.
1. What do you think is the probability that the stock market will rise next year?
The probability that the stock market will rise next year = P(x) = 0.65.
2. What do you think is the probability that the stock market will rise the year after next?
The probability that the stock market will rise the year after next is p(y) = 0.65.
3. What do you think is the probability that the stock market will rise in four of the next five years?
[tex]\rm P(x=4) =0.00325[/tex]
The probability that the stock market will rise in four of the next five years is 0.00325.
4. What do you think is the probability that the stock market will rise in none of the next five years?
The probability that the stock market will rise in none of the next five years is 0.0039.
5. What assumption of the binomial distribution might not be valid?
Independent events and probability can be defined as those occurrences that are not dependent on any specific event.
To know more about Probability click the link given below.
https://brainly.com/question/20914550
Look at the triangle.
What is the value of sin x°?
(A) 5 ÷ 13
(B) 12 ÷ 5
(C) 12 ÷ 13
(D) 5 ÷ 12
Answer:
Ok, Sir, The answer is D.
Step-by-step explanation:
From the list of possible answers, the sides are 5 and 12 and the hypotenuse is 13, so sin(x) is either 5/13 or 12/13 depending on which of the two legs is opposite to angle x.
0.00000083 in scientific notation
Answer:
8.3x10^7
Step-by-step explanation:
Answer:
8.3 x 10⁻⁷
Step-by-step explanation:
0.0000083 in scientific notation
To put numbers in scientific notation, you have one (1) non-zero digit in the ones place.
8.3 x 10ˣ
From 8.3, we would have to move the decimal place seven (7) places to the left (this means you put a negative sign in front of the exponent).
8.3 x 10⁻⁷
A typical household pays about $1200 a year on energy bills, and the U.S. Department of Energy estimates that 46 percent of this energy is used for heating and cooling, 15 percent for heating water, 15 percent for refrigerating and freezing, and the remaining 24 percent for lighting, cooking, and running other appliances. The heating and cooling costs of a poorly insulated house can be reduced by up to 30 percent by adding adequate insulation. If the cost of insulation is $220, determine how long it will take for the insulation to pay for itself from the energy it saves.
Answer: 16 months or 1 and half year.
Step-by-step explanation:
given data:
46 percent of this energy is used for heating and cooling.
15 percent for heating water.
15 percent for refrigerating and freezing.
and the remaining 24 percent for lighting, cooking, and running other appliances.
Solution:
if the family spent $1200 on yearl bill, the cost of energy used in heating and cooling
= 46/100 * $1200
= $552 yearly.
by adding insulation the cost of heating and can be redu up to 30percent.
= 30/100 * $552
= $165.6.
if $220 determin how long it would take for the insulation to pay for it self from the energy it saves.
$165.6 would be saved yearly, this makes it an average of $13.8 saved monthly.
to determine the time it would take to settle the cost of insulation from energy saved
= $220/13.8
= 15.9 months
which Is approximately 16 months or 1 and half year to pay for the insulation.
A flying disc was originally marked at $5 and has been sold at
$3.50. What was the percent of discount?
%
Answer:
30% discount
Step-by-step explanation:
5*0.3=1.5
5-1.5=3.5
0.3 = 30%
Is 1 = 2 always a false statement?
Answer:
yes, 1 can never equal 2 unless it is manipulated (ex: 1(2) = 2)
because one is not being manipulated to equal 2 here, it is a false statement and will always be a false statement.
Answer:
yes
Step-by-step explanation:
Mathematicaly speaking yes
Determine whether each identity is true or false.
True False
(a + b) (a + b) = a² + 2ab + b^2
(a + b) (a - b) = a² + 2ab – 6^2
(a + b) (a - b) = a² – 6^2
(a + b) (a + b) = a² + 6^2
(a - b) (a - b) = a² – 6^2
(a - b) (a - b) = a² – 2ab + b^2
Solve for the given variable. List the step used to solve the equation. 49.75 + 4.99x = 9.99x + 19.75?
Answer:
x=-2
Step-by-step explanation:
9.75+4.99x=9.99x+19.75
Simply Both Sides(change the order of 9.75 and 4.99x in this case)
4.99x+9.75=9.99x+19.75
Subtract 9.99x from both sides
4.99x+9.75−9.99x=9.99x+19.75−9.99x
−5x+9.75=19.75
Subtract 9.75 from both sides now
−5x+9.75−9.75=19.75−9.75
−5x=10
Divide both sides by -5 and boom
−5x/-5=10/-5
x=−2
Use Gauss's approach to find the following sum (do not use formulas):5+11+17+23...+83
Denote the sum by S. So
S = 5 + 11 + 17 + 23 + ... + 83
There's a constant difference of 6 between consecutive terms in S, so the 3 terms before 83 are 77, 71, and 65. So
S = 5 + 11 + 17 + 23 + ... + 65 + 71 + 77 + 83
Gauss's approach involves inverting the sum:
S = 83 + 77 + 71 + 65 + ... + 23 + 17 + 11 + 5
If we add terms in the same position in the sums, we get
2S = (5 + 83) + (11 + 77) + ... + (77 + 11) + (83 + 5)
and we notice that each grouped term on the right gives a total of 88. So the right side consists of several copies n of 88, which means
2S = 88n
and dividing both sides by 2 gives
S = 44n
Now it's a matter of determining how many copies get added. The terms in the sum form an arithmetic progression that follows the pattern
11 = 5 + 6
17 = 5 + 2*6
23 = 5 + 3*6
and so on, up to
83 = 5 + 13*6
so n = 13, which means the sum is S = 44*13 = 572.
A gym charges $45 per month and a $75 one-time starting fee. Which of these will show how much it costs to join the gym for one year?
Answer: 615
Step-by-step explanation: you take the 45 times 12 months plus the 75 for the one time fee.
Answer:
615
Step-by-step explanation:
u times 45 for 12 months and add the 75 fee
(4z+3)+(4z+3)+(4z+3)+(4z+3) solve please or simplify
Answer:
16z+12
Step-by-step explanation:
Let's simplify step-by-step.
4z+3+4z+3+4z+3+4z+3
Combine Like Terms:
=4z+3+4z+3+4z+3+4z+3
=(4z+4z+4z+4z)+(3+3+3+3)
=16z+12
Hope this helps!
Which statement is true? Question 6 options: A) |–3| = 3 and –|–4| = –4 B) –|3| = 3 and |4| = 4 C) |–3| = 3 and –|4| = 4 D) |–3| = 3 and |–4| = –4
Answer:
D
Step-by-step explanation:
ERROR ERROR ERROR ERROR
3 3/5 divided by 4 3/8
Answer:
34.2 or 34/2
Step-by-step explanation:
Answer:
34.2
Step-by-step explanation:
Dentro de 12 años la edad de Ana será el triple de su edad actual. Determina la edad de Ana dentro de 2 años.
Ana va a cumplir los 36 anos de edad.
Simplify the expression: 4(–1 − 6n)
Solve for u.
52 = 4u
Answer:
13=u
Step-by-step explanation:
54/4 = 13
If h(x) = 2x - 1 and g(x) = 3x + 1, what is (h o g)(2)?
Answer:
Step-by-step explanation:
g(2) = 3(2) + 1 = 6 + 1 = 7
h(7) = 2(7) - 1 = 14 - 1 = 13
Using composite functions, it is found that:
[tex](h \circ g)(2) = 13[/tex]
The composition of functions h(x) and g(x) is given by:
[tex](h \circ g)(x) = h(g(x))[/tex]
In this problem, the functions are:
[tex]h(x) = 2x - 1[/tex]
[tex]g(x) = 3x + 1[/tex]
Then:
[tex]h(g(x)) = h(3x + 1) = 2(3x + 1) - 1 = 6x + 2 - 1 = 6x + 1[/tex]
At x = 2:
[tex](h \circ g)(2) = 6(2) + 1 = 13[/tex]
A similar problem is given at https://brainly.com/question/23458455
Picture should be uploaded
Answer:
the answers are:
1)75 2)105 3)75
180-150=75
Step-by-step explanation:
It wouldn't let me send a picture but these are the answers. I hope this helps!
Salvador wrote 15 letters to friends each month for p months in a row. Write an expression to show how many total letters Salvador wrote
Answer:
15p
Step-by-step explanation:
Let's interpret the question bit by bit
Salvador wrote 15 letters to friends each month
=> 15 letters = 1 month
For p months in a row
let the total number of letters for p months be x
=> x letters = p months
Bringing the two statements together gives;
15 letters = 1 month
x letters = p months
Now, let's solve for x by cross-multiplying the above
x letters * 1 month = 15 letters * p months
x = [tex]\frac{15 letters * p months}{1 month}[/tex]
x = 15p letters
Therefore, Salvador wrote a total of 15p letters for the p months.
Professor Harris is teaching a continuing education class at the local community college. He created the following box plot from the ages of his students. What would happen to the average age of the students if the outlier was removed from the data set? A. There is no way to determine what would happen to the average age. B. The average age would increase. C. The average age would not change. D. The average age would decrease.
Answer:
b
Step-by-step explanation:
The average age would not change.
What is an outlier?An observation that lies an abnormal distance from other values in a random sample from a population.
What is a average?The average is the middle value of a set of numbers. It is calculated by adding the individual terms and dividing the sum with number of terms.
Outliers are stragglers — extremely high or extremely low values — in a data set that can throw off your stats.
Thus it does not effect the average age
The correct option is C
To know more about average and outliers click here
https://brainly.com/question/26958242
#SPJ2
Which property of equality should you use to solve 6x = 48?
You buy 60 of your favorite songs from a Web site that charges $0.99 for each song. What is the cost of 60 songs? Use mental math.
Answer:
$59.4
Step-by-step explanation:
Round up: 60*1 = $60. Everytime you add $0.99, you subtract off a penny, so you will subtract off 60 pennies. 60 cents from the original answer, so 60-0.6=59.4.
I really wish I knew
7p = 644. Solve the variable
Answer:
92
Step-by-step explanation:
you must first divided both sides of the equation by 7 then it will come to the answer p=92
10. (5 + 4 – 2) × (-2) = ?
O A. -14
B.-22
C. 14
D. 22
Answer:
A. -14
Step-by-step explanation:
PEMDAS
(9-2)*(-2) = x
(7)*(-2) = x
-14 = x
Find the value of x in each case:
Given: Iso. ΔABC, HM ∥ DG
Find: x, m∠CAB, m∠CBA
(HM and DG are lines)
Answer:
x=17 degrees
Step-by-step explanation:
1000 households were surveyed. 275 households own a desktop computer, 455 households own a DVD player, 405 households own two cars, 145 households own a desktop computer and DVD player, 195 households own a DVD player and two cars, 110 households own two cars and a desktop computer, 265 households do not own a desktop computer, do not own a DVD player, do not own two cars. Find the number of households that own: a) a desktop computer, DVD player and two cars; b) only a DVD player, no computer and no two cars; c) a desktop computer and DVD player but do not own two cars.
Answer:
Step-by-step explanation:
From the given information,
Suppose
X represents the Desktop computer
Y represents the DVD Player
Z represents the Two Cars
Given that:
n(X)=275
n(Y)=455
n(Z)=405
n(XUY)=145
n(YUZ)=195
n(XUZ)=110
n((XUYUZ))=265
n(X ∩ Y ∩ Z) = 1000-265
n(X ∩ Y ∩ Z) = 735
n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)
145 = 275+455 - n(X ∩ Y)
n(X ∩ Y) = 585
n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)
195 = 455+405-n(Y ∩ Z)
n(Y ∩ Z) = 665
n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)
110 = 275+405-n(X ∩ Z)
n(X ∩ Z) = 570
a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)
n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735
n(X ∪ Y ∪ Z) = 50
c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)
n(X ∪ Y ∪ C') = 145-50
n(X ∪ Y ∪ C') = 95