Answer and explanation in screenshot:
m a t h w a y solution: (2/5)^3 = 8/125
Symbolab explanation in image
Madison and Tyler each wrote an expression that is equivalent to 14.1 (19.8 + 7.6). The expressions they created are shown in the table.
Expressions Madison and Tyler Created
Student
Expression
Madison
14.1 (7.6 + 19.8)
Tyler
14.1 (19.8) + 14.1 (7.6)
Answer: Tyler used the distributive property.
Step-by-step explanation:
For the expression:
Madison wrote: which is by commutative property of addition.
The commutative property of addition says that , for a,b be any real number
Tyler wrote: which is by distributive propery.
The distributive property says that , for a,b,c be any real numbers.
Hence, the last option is correct.
Answer:
D
Step-by-step explanation:
Took the test ;)
Please help meh parents are yelling at me :(
Jasper is using the following data samples to make a claim about the house values in his neighborhood:
House Value
A $150,000
B $175,000
C $200,000
D $167,000
E $2,500,000
Based on the data, should Jasper use the mean or the median to make an inference about the house values in his neighborhood? (10 points)
Group of answer choices
He should use the mean because it is in the center of the data.
He should use the median because it is in the center of the data.
He should use the median because there is an outlier that affects the mean.
He should use the mean because there are no outliers that affect the mean.
Answer:
d:$167,00
Step-by-step explanation:
Um técnico em eletricidade recebeu um molho que continha 12 chaves não identificadas pra abrir a porta de um quarto de hotel e efetuar os reparos necessários na rede elétrica.qual a probabilidade de ele acertar na primeira tentativa
Answer:
Step-by-step explanation:
Dado que:
Um técnico em eletricidade recebeu um pacote que continha 12 chaves não identificadas, a probabilidade de que ele acertasse na primeira vez será:
= número de ensaios / número total de ensaios disponíveis
O técnico eletricista tem apenas uma tentativa
uma vez que existem 12 chaves não identificadas, o número total de testes disponíveis 12
∴
= 1/12
= 0.0833
= 0.0833 × 100
= 8.33%
3 (1 - x)=2 (-4x + 7)
Solve for X.
Answer:
x = 11/5
Step-by-step explanation:
3-3x = -8x +14
5x = 11
x= 11/5
9x - 4 = 5x - 4 + 4x
Answer:
X = 1
Step-by-step explanation:
HOPE THIS HELPS
am i answering the same question over and over again?
whatever
PLZ MARK BRAINLIEST
Someone please help me, please
The length of the day in Lagos, Nigeria (in minutes), ttt days since the beginning of the year can be estimated by this formula: \qquad L(t) = 727+22\sin \left(\dfrac{2\pi (t - 80.75)}{365}\right)L(t)=727+22sin( 365 2π(t−80.75) )L, left parenthesis, t, right parenthesis, equals, 727, plus, 22, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 80, point, 75, right parenthesis, divided by, 365, end fraction, right parenthesis. When is the longest day of the year? Give an exact answer.
Answer:
The longest day of the year is day 172
Step-by-step explanation:
Since the length of day is L(t)=727+22sin[2π(t−80.75)/365], the maximum length of day is obtained when sin[2π(t−80.75)/365] is at its maximum value which is 1. So. sin[2π(t−80.75)/365] = 1
We now solve this to find the day at which this maximum value occurs.
sin[2π(t−80.75)/365] = 1
[2π(t−80.75)/365] = sin⁻¹(1)
[2π(t−80.75)/365] = π/2
dividing both sides by 2π/365, we have
[2π(t−80.75)/365] ÷ 2π/365 = π/2 ÷ 2π/365
t−80.75 = 365/4
t−80.75 = 91.25
t = 91.25 + 80.75
t = 172
The longest day of the year is day 172
Answer:
172
Step-by-step explanation:
Keep in mind, that when graphed one of the "tallest" points is 172,749. Using this, you'll find that 172 is the tallest
help
state the multiplicity for each root
[tex]3(x^{2} + 5)^ {2} ( {x}^{2} - 25)^{3} (x - 8)^{4} = 0[/tex]
state the multiplicity for each root
Answers:
The two complex or imaginary roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex] have multiplicity 2.The two real roots x = 5 and x = -5 have multiplicity 3The root x = 8 has multiplicity 4======================================================
Explanation:
We'll use the zero product property to solve.
[tex]3(x^2+5)^2(x^2-25)^3(x-8)^4 = 0\\\\(x^2+5)^2=0 \text{ or } (x^2-25)^3=0 \text{ or } (x-8)^4 = 0\\\\x^2+5=0 \text{ or } x^2-25=0 \text{ or } x-8 = 0\\\\x^2=-5 \text{ or } x^2=25 \text{ or } x = 8\\\\x=\pm\sqrt{-5} \text{ or } x=\pm\sqrt{25} \text{ or } x = 8\\\\x=\pm i\sqrt{5} \text{ or } x=\pm 5 \text{ or } x = 8\\\\[/tex]
where [tex]i = \sqrt{-1}[/tex]
----------------------
The notation [tex]x=\pm i\sqrt{5}[/tex] breaks up into [tex]x=i\sqrt{5} \text{ or } x=-i\sqrt{5}[/tex]. The multiplicity of these two roots is 2 as it's the exponent of the factor [tex](x^2+5)^2[/tex]. Focus on the outermost exponent.
The notation [tex]x = \pm 5[/tex] becomes [tex]x = 5 \text{ or } x = -5[/tex]. The multiplicity of these two roots is 3 since it's the outermost exponent of the factor [tex](x^2-25)^3[/tex]
And finally, the multiplicity of the root x = 8 is 4 because it is the outermost exponent of the factor [tex](x-8)^4[/tex]
(√3+5)(√3-1) How do u solve it?
Answer:
4.93
Step-by-step explanation:
Use calculator
Mark me as brainliest
Answer:
[tex]4\sqrt3-2[/tex]
Step-by-step explanation:
[tex](\sqrt3+5)(\sqrt3-1)\\\\3+5\sqrt3-\sqrt3-5\\\\4\sqrt3-2[/tex]
Hope this helps, please award brainliest! Have a nice night.
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The question is not complete, so i have attached it.
Answer:
Options A, B & E are correct
Step-by-step explanation:
In the synthetic division attached, we see that:
: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12
: The divisor is 3
Thus;
x = 3 is a root of f(x) = 2x² - 2x - 12
Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12
- Now, from the attached image, the coefficients of the quotient are 2 , 4
- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)
The degree of the dividend will be 2 since it contains x²
Thus, the degree of the quotient will be 1
Therefore, the quotient in factor form is (2x + 4)
Looking at the given statements in the options;
- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12
- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12
- Option C is not true because the factor is (x + 3) and not (x - 3)
-Option D is not true because the root is 3 and not -3
- Option E is true because we have established that quotient as a factor is: (2x + 4)
Thus, the correct options are A , B , E
given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ [tex]\frac{2[g(x)]}{2}[/tex] = [tex]\frac{10x}{2}[/tex] + [tex]\frac{4}{2}[/tex]
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
Reagan used 1,297 sq ft of wrapping paper to wrap gifts for everyone in her class. If each gift used the same amount of wrapping paper and she wrapped 24 gifts, how much wrapping paper did she use for each gift?
Mari and Rob are making a poster for the science fair. They need to figure out how much a rock that weighs 7 pounds on Earth would weigh on Mars. They know that they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars. Circle the partial products Mari and Rob would need to add to find the product of 7 and 0.38. Mark all that apply. Which problems will have two decimal places in the product? Mark all that apply.
Answer: a big rock
Step-by-step explanation: i am just dumb and lazy
Answer my math question I asked so many times I lost most of points help by
y-intercept: (0, 1)
Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5
Line of symmetry: x = 0.5
Open UP or DOWN: Opens UP
Min or Max: Min
Vertex: (0.5, 0.5)
Domain: {x|x ∈ ℝ}
Range: {y|y ≥ 1/2}
how do I answer this please help homework due tomorrow x
Answer:
63.6 m^2
Step-by-step explanation:
A = (pi)r^2
r = d/2 = 9 m / 2 = 4.5 m
A = (3.142)(4.5 m)^2
A = 63.6 m^2
could somebody help me with this please?
Answer:
1) x ≅ 51.34°
2) y ≅ 38.66°
Step-by-step explanation:
In the right triangle given in the figure
∵ The triangle has a right angle
∴ Angles x and y are acute angles and the sum of their measures is 90°
→ By using the trigonometry function tan
∵ tan(x) = opposite side to x/adjacent side to x
∵ The opposite side to x = 10
∵ The adjacent side to x = 8
→ Substitute them in the rule above
∴ tan(x) = [tex]\frac{10}{8}[/tex] = [tex]\frac{5}{4}[/tex]
→ Use the inverse of tan to find x
∵ x = [tex]tan^{-1}[/tex]([tex]\frac{5}{4}[/tex])
∴ x = 51.34019175
∴ x ≅ 51.34°
∵ x + y = 90°
∴ 51.34 + y = 90
→ Subtract 51.34 from both sides
∴ y ≅ 38.66°
TNMILLER this for youuuuuuu!
Answer:
??
Step-by-step explanation:
i am so confused... love ur pfp tho
Answer:
:D
Step-by-step explanation:
thank
The length, width, and height of a rectangular prism can be represented by the expression (x + 3), (x + 7) and (x - 1). write an expression to represent the surface area of the prism
Answer:
A=2wl+2lh+2hw
A=2(x+7)(x+3)+2(x+3)(x-1)+2(x-1)(x+7)
A=2(x^2+7x+3x+21)+2(x^2-x+3x-3)+2(x^2+7x-x-7)
A=2(x^2+10x+21)+2(x^2-2x-3)+2(x^2+6x-7)
Answer:
6x²+36x+22
Step-by-step explanation:
Surface Area = 2(wl + hl + wh)
Length = (x+3)
Width = (x+7)
Height = (x-1)
Surface Area = 2((x+7)(x+3) + (x-1)(x+3) + (x+7)(x-1))
Then simplify
2((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))
=(2)((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))
=(2)((x+7)(x+3))+(2)((x−1)(x+3))+(2)((x+7)(x−1))
=2x²+20x+42+2x²+4x−6+2x²+12x−14
=6x²+36x+22
Which of these is an example of typing at an average rate of 42 words per minute?
Select one
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
very very sorry for the late response wish i could have seen this earlier
Step-by-step explanation:
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.
Date
Closing amount (in points)
01/27
13,895.98
01/28
13,881.93
01/29
13,954.4
01/30
13,860.42
Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points
Answer:
The first option
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
When solving the following system using elimination, which of the following will allow you to get opposites?
−4x−15y=−17
−x+5y=−13
Multiply the first equation by -1.
Multiply the first equation by -4.
Multiply the second equation by 4.
Multiply the second equation by -4.
What is the solution to the equation shown below? (2/3)x + 5 = 1
Answer:
The solution is x = −6.
Step-by-step explanation:
A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides
Answer:
Look at the picture
Step-by-step explanation:
For 0 rise it would just be eight dollars
a. 320 km in 5 hours is a rate of ______ per hour.
b. 48 books bought for $360 is at the rate of _______ per book.
c. If 900 litres of water flows through a tap in 2 hours, it is the rate of _____ per minute.
d. Richard works for 10 hours and is paid $145. His rate of pay is _____ per hour.
e. 5kg of peas cost $12.58, which equals _____ per kg.
Answer:
a. 64
b. 7.5
c. 7 min 5 sec
d. 14.5
e. 2.52
The rate per hour is known as the average speed.
Average speed = total distance / time
320 / 5 = 64 km / hr
The rate per book is the cost of one book.
Cost of one book = total cost of the book / number of books bought
$360 / 48 = $7.50
The rate per minute = total litres / total minutes
900 / (2 x 60)
900 / 180 = 5 litres per minute
Rate pay per hour = total amount earned / total hours worked
$145 / 10 = $14.50 per hour
Cost per kg = total cost of the peas / total weight of the peas
$12.58 / 5 = $2.52 per kg
To learn more about average speed, please check: brainly.com/question/9834403
1. Carisa is going to play outside with her friends. She is going to randomly pick a ball to play with out of the
garage. There is a soccer ball, a basketball, a baseball, and a football. What is the probability she is going to
pick the basketball or the soccer ball?
Answer:
50% chance
Step-by-step explanation:
if there are four balls there is a 50% chance she will pick the basket ball or the scoccer ball. Hope this helped.
Which point is on the graph of f(x)= 5^x
A. (1, 5)
B. (0, 0)
C. (5, 1)
D. (0, 5)
Answer:
B
beacuse f and x are f -5 and x 5
Tell whether the rates form a proportion.
32 notes in 4 measures; 12 notes in 2 measures
yes
or
no
Answer: no
Step-by-step explanation: the answer is no
Solve for n.
n - 26 = -13
n =
Answer:
n= 13
Step-by-step explanation:
.................
Answer:
n=13
Step-by-step explanation:
because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer
A tire shop promotes its business using a large model of a tire on its roof. The
model tire uses a scale in which 2 feet represents 3 inches. The actual tire used
to create the model tire has a diameter of 33 inches.
What is the diameter of the model tire on the shop's roof
Help plz!!! I need the work shown
Answer:
Ok, so this tire is 2 feet which is represented by 3 inches.
So, since the tire has a diameter of 33 inches, we multiply 33 by 3
33 times 3 is 99.
The diameter of the motel tire on the shop's roof is 99 inches.
Step-by-step explanation:
In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 100 green tickets, 25 yellow tickets and 5 blue tickets. In simplest form, what are the odds in favor of winning $5 or more?
A. ) 1:4
B. ) 1:5
C. ) 1:25
D. ) 3:10
Answer:
D) 3:10
Step-by-step explanation:
Well only blues and yellows are at least $5. there are 25 yellows and 5 blues and if you add them together there's 30 in total. Now compare that 30 to 100 and you have 30:100. In the simplest form you have to divide both sides by 10 and it becomes 3:10.