Step-by-step explanation:
Shortest way to solve this question is to find the factors of the given expression.
The given expression is (x² + 13).
Now we have to factorize it.
(x² + 13) = x² + (√13)²
= x² + [-(i)²√(13)²] [Since i = √(-1)]
= x² - (i√13)²
= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-
Choose the expression equivalent to 2^ -2 x
2^5.
Answer:
2³
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , thus
[tex]2^{-2}[/tex] × [tex]2^{5}[/tex] = [tex]2^{(-2+5)}[/tex] = 2³ [ = 8 ]
1/8 of a number is less than or equal to 3
Answer:
1/8n<3
Step-by-step explanation:
The letter "n" represents the number. Less than or equal to is represented by "<" but with a line under it.
Answer:
1/8n<3
Step-by-step explanation:
PLEASE HELP!!!!
2. Toss 4 times Imagine tossing a fair coin 4 times . (a ) Give a probability model for this chance process . (b) Define event B as getting exactly three tails . Find P(B)
Answer:
If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.
i didnt really understand the question but hope this helps
According to the information given, we have that:
a) A binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.b) P(B) = 0.25.For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.Item a:
The coin is tossed 4 times, hence [tex]n = 4[/tex].It is a fair coin, hence equally as likely to be heads and tails, which means that [tex]p = 0.5[/tex].Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.
Item b:
P(B) is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
Hence, P(B) = 0.25.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
Draw the dilation of ABCD using center D and scale factor 1/3. Label the dilation EFGH
Answer:
Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3
Step-by-step explanation:
The coordinates of the quadrilateral ABCD are;
A(0, 6), B(6, 6), C(9, 0), D(0, 0)
From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3
As a part of your project studying tipping behavior, you ask people the question, How much should you tip a grocery bagger for carrying five bags to your car? The Grocery Bagger Surveys tab of this spreadsheet gives the responses to this question from 10 independent surveys, each with 50 respondents. The respondents were asked to round to the nearest quarter, since few people tip with pennies, nickels, and dimes. In the spreadsheet, you can calculate the mean, or average, of data using the Average function: Select the cell in which you want the mean to appear. Type =AVERAGE( in the formula bar. Select all the cells containing the values for which you want to find the average, and then press Enter. The average of the values in the cells will be calculated and displayed in the cell in which you entered the formula. Question 1 What is the sample mean of the responses in survey 1?
Answer:
The sample mean for survey 1 is $1.69.
Step-by-step explanation:
I just did this on edmentum plato.
How do I solve this and check all the solutions?
Answer:
it is -6
Step-by-step explanation:
figure is made from a part of a square and a part of a circle.
$
This figure
10
a) What is the perimeter of this
figure, to the nearest unit?
Answer:
Step-by-step explanation:
Answer:38
Step-by-step explanation:
if f(x)=4^x+4, then calculate f(0)
ok so F (0) should be equaled to = 0
Answer:
f(0) = 5
Step-by-step explanation:
Note that [tex]a^{0}[/tex] = 4
To calculate f(0), substitute x = 0 into f(x), that is
f(0) = [tex]4^{0}[/tex] + 4 = 1 + 4 = 5
Identify the terms, coefficients, and constants of the expression. a^2 + 2 + 7b
Step-by-step explanation:
constant=7
coefficient=2
Vivian scored 8 out of 10 on a quiz. Ramona scored 3 out of 4. Did Vivian and Ramona get equivalent scores? Explain.
Answer:
Yes
Step-by-step explanation:
8/10 can be simplified to become 3/4
If I saved up $10 every 2 weeks, in a year I would have saved up $260. But, if I had saved up $20 per month, I would only have saved $240. Why do they have different totals?
if the first and fifteen terms of A.P. are 8 and -48 respectively, obtain the progression
Answer:
8, 4, 0, -4, - 8, .........
Step-by-step explanation:
The n the term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and a₁₅ = - 48, then
8 + 14d = - 48 ( subtract 8 from both sides )
14d = - 56 ( divide both sides by 14 )
d = - 4
To obtain the progression subtract 4 from each term, that is
8, 4, 0, - 4, - 8, ......
Answer:
8, 4, 0, -4, -8, -12, -16, -20,...
Step-by-step explanation:
Arithmetic Progressions
The general term of an arithmetic progression (A.P.) is:
[tex]a_n=a_1+(n-1).r[/tex]
Where:
a1 = First term
an = Term number n
n = Number of the term
r = Common difference
We are given: a1=8, and a15=-48, n=15. Calculate r:
[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]
[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]
[tex]\displaystyle r=\frac{-56}{14}[/tex]
r = -4
We can get the terms of the progression by subtracting 4 to the previous term.
Thus, the first terms of the progression are:
8, 4, 0, -4, -8, -12, -16, -20,...
Y=4x+2
A) Identify the slope (4,-2)
B)Identify the y-intercept:-2
Answer:
4 - slope
2 - y - intercept
Step-by-step explanation:
The equation is in slope-intercept form.
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The '4' is the slope of the equation.
[tex]y=\boxed{m}x+b\\\\y=\boxed{4}x+2[/tex]
The '2' is the y-intercept.
[tex]y=mx+\boxed{b}\\\\y=4x+\boxed{2}[/tex]
Hope this helps.
Write the missing number and name the
property
(733X5)×2= 733 x 5
Answer:
the missing number is 2
Step-by-step explanation:
Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)
Right side is 733*5. Rewriting the expression this way makes it obvious that the missing number is 2.
Which of the following represents the range of the relation below?
{(0, 0), (1, 4), (6, 2)}
{0, 1, 2, 4, 6}
{0, 2, 4}
{1, 6}
{0, 1, 6}
Answer:
{ (0,0),(1,4),(6,2)
Range = {0,2,4}
find f((1)/(3)) if f(n)=3n
Answer:
1Step-by-step explanation:
Given
f(n) = 3nTo find
f(1/3) =?Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1Answer: The answer is 1 sweetie
Step-by-step explanation: Given
f(n) = 3n
To find
f(1/3) =?
Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1
Substitution method
3x+2y=15
y=6x
Answer:
x = 1
Step-by-step explanation:
3x +2y = 15
y = 6x
Substitute y for 6x in 3x +2y = 15!
3x + 2(6x) = 15
3x + 12x = 15
Combine like terms
15x = 15
Divide both sides by 15
15x = 15
x = 1
Brainliest is much appreciated!
This is pretty confusing please help!!!!!
What's y'all favorite tic tok sound?
Answer:
Laxed (SIREN BEAT)" by Jawsh 685
Step-by-step explanation:
what 901 divided by 3
Answer:
300.33333
Step-by-step explanation:
Please I will give brainylest if the answer is correct
Answer:
a^n +3
Step-by-step explanation:
simpify: a^na^3:\quad a^{n+3}
a^{n+3}
The graph shows the cube root parent function.
Answer: C
Step-by-step explanation:
The function is always increasing
The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.
What is graph?" The graph is defined as the representation of relation between two variables on the coordinate plane."
According to the question,
Given graph of the cube root parent function
For function [tex]y= \sqrt[3]{x}[/tex]
x = 0 ⇒ y = 0
x = 1 ⇒ y = 1
x = 8 ⇒ y = 2
x = 27 ⇒ y = 3
Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.
Hence, Option(D) is the correct answer.
Learn more about graph here
https://brainly.com/question/20381610
#SPJ2
Please help me out! I can’t do this on my own.
Answer:
y = 6x
Step-by-step explanation:
y = mx + b
Slope (m) = 6/1 up 6, right 1
Y-intercept (b) = 0
Question 10
Evaluate 122 – 3 [4 () – (18)].
Answer:
here is the answer -(12)/(-3)
Step-by-step explanation:
PLEASE MARK BRAINILIEST!
?!?!?!djsjsj?!?!?!?djsj
Jordan's dog with p.M. Pounds Emmett apostrophe s dog with 25% more than Jordan star which expression represents the weight in pounds of Emmett apostrophe s dog select all the apply a 0.25 P 1.25 p c p + 0.25 DP + 120.25
Answer: 1.25 p , where p= Weight of Jordan's dog
Step-by-step explanation:
Let p = Weight of Jordan's dog .
Given: Emmett apostrophe's dog with 25% more than Jordan star.
Then, weight (in pounds) of Emmett apostrophe s dog = p +25% of p
= p +0.25 p [We divide a number by 100 to remove %]
= p(1+0.25)
= p(1.25)
=1.25 p
Hence, the expression represents the weight in pounds of Emmett apostrophe's dog=1.25 p
pls help me
(answer choices)
a: 134
b:46
c:136
d:43
Answer:
i wanna say its 136 but im not completely sure
La embotelladora La Pingüica llena de refresco cierta
cantidad de botellas por día. Calcula el número de
botellas llenadas sabiendo que la veinticincoava
parte del cuádruple de ellas menos 5 000 que se
rechazaron equivale a 3 640 de los envases. en lengua algebraico
Answer:
No hablo espanol.
puedes escribir en ingles
Step-by-step explanation:
What is the next fraction in this sequence?
3/10, 1/4, 1/5,3/20...
Answer:
1/10
I hope this helps!
Answer:
1/10
Step-by-step explanation:
6/20, 5/20, 4/20, 3/20 2/20
How would I Graph y = -3/2x - 3
Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left
Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points
Step-by-step explanation: