Answer:
7x3 = 21
Step-by-step explanation:
It's simple math. One week is 7 days. So just multiply 7x3 and then that's equaled to 21.
Not sure what to do here can someone please help
Answer:
x = 2
Step-by-step explanation:
These equations are solved easily using a graphing calculator. The attachment shows the one solution is x=2.
__
SquaringThe usual way to solve these algebraically is to isolate radicals and square the equation until the radicals go away. Then solve the resulting polynomial. Here, that results in a quadratic with two solutions. One of those is extraneous, as is often the case when this solution method is used.
[tex]\sqrt{x+2}+1=\sqrt{3x+3}\qquad\text{given}\\\\(x+2)+2\sqrt{x+2}+1=3x+3\qquad\text{square both sides}\\\\2\sqrt{x+2}=(3x+3)-(x+3)=2x\qquad\text{isolate the root term}\\\\x+2=x^2\qquad\text{divide by 2, square both sides}\\\\x^2-x-2=0\qquad\text{write in standard form}\\\\(x-2)(x+1)=0\qquad\text{factor}[/tex]
The solutions to this equation are the values of x that make the factors zero: x=2 and x=-1. When we check these in the original equation, we find that x=-1 does not work. It is an extraneous solution.
x = -1: √(-1+2) +1 = √(3(-1)+3) ⇒ 1+1 = 0 . . . . not true
x = 2: √(2+2) +1 = √(3(2) +3) ⇒ 2 +1 = 3 . . . . true . . . x = 2 is the solution
__
SubstitutionAnother way to solve this is using substitution for one of the radicals. We choose ...
[tex]u=\sqrt{x+2}\qquad\text{requires $u\ge0$}\\\\u^2-2=x\qquad\text{solve for x}\\\\u+1=\sqrt{3(u^2-2)+3}\qquad\text{substitute for x in the original equation}\\\\(u+1)^2=3u^2-3\qquad\text{square both sides, simplify a little}\\\\2u^2-2u-4=0\qquad\text{subtract $(u+1)^2$}\\\\2(u-2)(u+1)=0\qquad\text{factor}[/tex]
Solutions to this equation are ...
u = 2, u = -1 . . . . . . the above restriction on u mean u=-1 is not a solution
The value of x is ...
x = u² -2 = 2² -2
x = 2 . . . . the solution to the equation
_____
Additional comment
Using substitution may be a little more work, as you have to solve for x in terms of the substituted variable. It still requires two squarings: one to find the value of x in terms of u, and another to eliminate the remaining radical. The advantage seems to be that the extraneous solution is made more obvious by the restriction on the value of u.
There are four red ,four blue, and two green marbles in a bag .if one marble is chosen at random from the bag what is the probability that the marble will be green
Answer:
There is a 20% probablity that the marble will be green :)
Step-by-step explanation:
There are a total of 10 marbles in the bag. 4 red+4 blue+ 2green=10There are two green marbles out of the 10 marbles. 2/102 divided by 10 is .20 or 20% Therefore, there is a 20% probability that the marble will be green.Convert the measurement to the specified five unit round to 2 decimal Place necessary
Answer:
50.31 yards
Step-by-step explanation:
divide the length value by 914.4
46,000/914.4 = 50.31
Mark brainliest please!
Question 9
Which measurement is closest to the distance between point p and point q in units?
14
13
P
12
11
10
9
R
Q
1 2 3 4 5 6 7 8 9 10 11 12 13 14
43
87654321
7
3
0
Answer
A 17 units
B) 13 units
(C) 11 units
D 2.4 units
Answer:
that means the answer is c
How many years of math do high schools require you to complete for
graduation?
O A. 2 to 3
O B. 1 to 2
O c. 3 to 4
O D. 0 to 1
ما
A $10 book is 50% off. What is the cost?
Answer:
$5.00
Step-by-step explanation:
10 × 50/100
Discount = 10 x 0.5
You save = $5.00
Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L.
Answer:
Kindly check explanation
Step-by-step explanation:
pˆ = 43 / 200 = 0.215
A.)
The confidence interval obtained :
0.215 ± 0.057 = (0.158 ; 0.272)
Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.
B.)
H0:p=16 versus Ha:p>16
Decision :
Reject H0 ; if Pvalue < α
Pvalue = 0.033 ; α = 0.05
0.033 < 0.05 ; we reject H0
HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).
C.)
L=pˆ+z∗√pˆ(1−pˆ)n
Z critical for a one sided 95% confidence interval is 1.64
pˆ = 0.215
L = 0.215 + 1.64 * √(0.215*0.785) / 200
L = 0.215 + (1.64 * 0.1299134)
L = 0.215 + 0.213057976
L = 0.428
(-∞, 0.428)
25-44 Differentiate.
28. [tex]J(v)=\left(v^{3}-2 v\right)\left(v^{-4}+v^{-2}\right)[/tex]
Make things easier by expanding J(v) first:
[tex]J(v) = (v^3-2v) \left(\dfrac1{v^4}+\dfrac1{v^2}\right) = \dfrac1v - \dfrac2{v^3} - \dfrac2v + v = v - \dfrac1v - \dfrac2{v^3}[/tex]
Now differentiate term-by-term (power rule):
[tex]J'(v) = \boxed{1 - \dfrac1{v^2} + \dfrac6{v^4}}[/tex]
In case you're supposed to use the product rule first, we have
[tex]J'(v) = (3v^2 - 2) \left(\dfrac1{v^4} + \dfrac1{v^2}\right) + (v^3-2v) \left(-\dfrac4{v^5} - \dfrac2{v^3}\right)[/tex]
Expanding and simplifying will yield the same result as before.
An object travels 43 miles. Given 1 mile 5280 feet, enter the distance the object travels in feet.
Answer:
43 x 5280= 227040
Step-by-step explanation:
A picture is 10 inches by 14inches. The frame measures 2 inches longer and wider than the painting. What is the area of the frame?
Answer:
52
Step-by-step explanation:
so first you do 10x14=140
next you have to do 12x16=192
then u have to do 192-140=52in squared
Solve for an angle in right triangles. Round to the nearest hundredth
Answer:
6.53
Step-by-step explanation:
cos(theta)= adjacent/hypotenuse
cos(40)= 5/h
H= 5/cos(40)
=6.527
Rounded to the nearest hundredth will be 6.53
Question 1 (1 point)
1.01011011101111...
Answer:
E: since irrational is non-terminating and the ... means it goes on forever which cannot be represented by a fraction
Assume the annual day care cost per child is normally distributed with a mean of $9000 and a standard deviation of $1000. What percent of day care costs are more than $8600 annually?
Answer:
65.54% (nearest hundredth)
Step-by-step explanation:
Given:
[tex]\sf \mu=9000[/tex][tex]\sf \sigma=1000[/tex][tex]\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)[/tex]
P(X > 8600) = 1 - P(X ≤ 8600)
= 1 - 0.3445782584
= 0.6554217416
= 65.54%
Find the sum of all multiples of 7 from 7 to 126, inclusive.
In circle D with m \angle CDE= 60m∠CDE=60 and CD=15CD=15 units, find the length of arc CE. Round to the nearest hundredth.
Answer:
Length of arc CE = 3.14 unit (Approx.)
Step-by-step explanation:
Given:
Radius of circle = 3 units
Angle between radius = 60°
Find:
Length of arc CE
Computation:
Length of arc = [θ/360][2πr]
Length of arc CE = [60/360][2(2/7)(3)]
Length of arc CE = [60/360][2(3.14)(3)]
Length of arc CE = [1/6][6(3.14)]
Length of arc CE = 3.14 unit (Approx.)
What is the measure of \angle x∠xangle, x?
Answer:
x° = 74°
Step-by-step explanation:
The supplementary angle of 106° is x°
x° = 180° - 106° = 74°
Hope this helps
a gate keeper earns 31,000 naira per month. he gets 1000 naira of his income as tax free. if he pays tax at the rate of 6 kobo per naira, how much is his monthly salary after paying his income tax?
Answer:
28,200 naira would be his income after he paid 1800 to taxes
Step-by-step explanation:
First, let's use the information to find out how much he got taxes on.
We should deduct 1000 naira from his monthly income because it is not taxed leaving 30,000 of taxable income
Then multiply his income by the percentage of tax he receives which is .06
30,000 x .06 = 1800
Then subtract money that is taxed by his income
30,000 - 1800 = 28,2000
The gardeners at Bailey's Market planted 48
onions in each of 12 rows. How many onions
.
were planted?
Pls help
Answer:
576
Step-by-step explanation: multiply 48 by 12 and you should get 576
The area formula for rectangular shapes is A=LW. What is the area of a rectangular shape with the dimensions of [tex]\sqrt[4]{11}[/tex] and [tex]\sqrt[4]{3}[/tex]?
Hi!
Given the area formula ~ A = LW
We need to multiply the two values:
[tex]\sqrt[4]{11} * \sqrt[4]{3}[/tex]
Since they have the same root, 4, we can multiply what's inside of the radical and give it the same root.
[tex]11*3=33[/tex]
Now, we apply the same root as before:
[tex]\sqrt[4]{33}[/tex]
Therefore, your answer is [tex]\sqrt[4]{33}[/tex]
Now, if you need that as a numerical value rather than a radical, it's roughly [tex]2.397[/tex]
Answer:
[tex]\textsf{area}=\sqrt[4]{33}\:\textsf{square units}[/tex]
Step-by-step explanation:
Formula
Area of a rectangle = length × width
Given:
[tex]\textsf{length}=\sqrt[4]{11}[/tex][tex]\textsf{width}=\sqrt[4]{3}[/tex]Substitute given values into the formula:
[tex]\implies \textsf{area}=\sqrt[4]{11} \cdot \sqrt[4]{3}[/tex]
[tex]\textsf{Apply radical rule}\quad\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{ab}:[/tex]
[tex]\implies \textsf{area}=\sqrt[4]{11 \cdot 3} =\sqrt[4]{33}\:\textsf{square units}[/tex]
What is the absolute deviation of 4 in this data set?
{6, 22, 14, 9, 11, 4}
O 2
03
O 7
O 11
Answer:
7
Step-by-step explanation:
I took the k12 quiz
A triangle has a perimeter of 51 cm. If the three sides of the triangle are n, 4n-4, and 4n-8, what is the length of each side?
Answer:
see below
Step-by-step explanation:
The three sides add to 51
n + 4n-4 + 4n-8 = 51
9n -12 = 51
9n = 63
n = 7 4n-4 = 24 4n-8 = 20
a plumber had 2 plastic pipes that were each 9 ft long. he used all of the 2 pipes and cut them into sections that were each 1/10 foot long. how many sections of pipe did he have in all
Answer:
180
Step-by-step explanation:
so 1 section is 0.1 feet long, that is 10 sections per foot(since 0.1*10 = 1)if you have 9 feet, imagine how many 0.1 feet can fit in ityou can fit 90 sections in 9 feet, since 9 / 0.1 = 90since you have 2 pipes, multiply 90 by 2, which is 180so you would have 180 sectionsthe visual representation of data that is used to show how all the parts of something are related to the whole
Answer:pie charts?
Step-by-step explanation:
The Drama Club is selling tickets to the school play. The tickets are $6 for adults and $3 for students. The club needs to raise $1.200 to pay for the costumes and equipment. The auditorium can seat no more than 300 people.The club makes $5for every adult ticket and $2 for every student ticket it sells. Use the information below.
let x= adult tickets
let y= student tickets
then 6x+3y>1200
and x+y<300
profit function P=5x+2y
how many tickets for each type should be colf to maximize the total profit?
A 100 adult tickets and 200 students
B 300 adult and 0 students
C 0 adult and 300 students tickets
D 200 adult tickets and 0 student
Answer:
B) The profit is maximized when 300 adult tickets and 0 student tickets are sold
Step-by-step explanation:
We are given this equation for the profit made by selling tickets to the school play.
P = 5x + 2y
where x = adult tickets; y = student ticketsWe see that adult tickets are worth $5.00 each, while student tickets are worth less at $2.00 each.
It makes sense that selling more adult tickets than student tickets would result in greater profit.
Therefore, the answer choice that states B) The profit is maximized when 300 adult tickets and 0 student tickets are sold is the correct answer.
The percentages of students in the school who attended the talent show for the years 2008 to 2013 are shown, This year, the school has a total of 380 students, How many students do u expect to attend the talent show this year ? It's super important that u say a good explanation or u don't get the BRAINLIEST!
Answer:
357
Step-by-step explanation:
number of students that would attend this year = percentage of students that attended in 2013 x total number of students
94% x 380 = 357.2
choose an appropriate metric unit for the mass of concrete in a section of sidewalk
kilogram
milligram
gram
meter
why dont you delete this question also brainly
Answer:
It should be a kilogram.
Gram = too small
milligram = too small
meter = distance
600kg is divided between misal and pratick so that misal gets 3/5 of the amount. How much does prayick get?
Answer:
240
Step-by-step explanation:
Misel: 600kg*3/5=360
Patrick: 600-360=240
Add. write your answer in simplest form.
-4 _/135 + 7 _/15
[tex] \huge\quad\qquad\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - 4 \sqrt{135} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 4 \sqrt{5 \times3 \times 3 \times 3} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \:( - 4 \times 3) \sqrt{5 \times 3} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 12 \sqrt{15 } + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 5 \sqrt{15} [/tex]
I want to know answer to Negative 3 minus positive 1?
Step-by-step explanation:
-3-1 You want to factor out the negative sign.Add the numbersThe answer is four.PLS HELP ME WITH THIS!!!
Answer:PLS HELP ME WITH THIS!!!
PLS HELP ME WITH THIS!!!
Step-by-step explanation:PLS HELP ME WITH THIS!!!
is your correct answer