Answers
the answer is: 2x sqrt 2x
The expression √(2x²) · √(4x) is equivalent to the expression 2x√2x. Then the correct option is D.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expressions are given below.
√(2x²) and √(4x)
Then the product of the expressions √(2x²) and √(4x) will be
⇒ √(2x²) · √(4x)
The factor of 2x² will be
2x² = 2 · x · x
The factor of 4x will be
4x = 2 · 2 · x
Substitute in the expression, then the expression will be
⇒ √(2 · x · x) · √(2 · 2 · x)
We know that √x² = x and √4 = 2. Then the expression will be
⇒ x√2 · 2√x
⇒ 2x√2x
Thus, the expression √(2x²) · √(4x) is equivalent to the expression 2x√2x.
Then the correct option is D.
More about the equivalent link is given below.
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Related Questions
D 75.4 cm2
24. What is the surface area of the given sphere?
12 cm
A 48 cm2
B 1441 cm
C 5767 cm
D 23041 cm2
Answers
For which of the following is x=-5 a solution? Select all that apply.
A) x+10=-5
B) -x^2+50=25
C) |2x|=10
D) x<0
E) 2x<10
Answers
Answer:
B
D
E
[tex]b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10[/tex]
Answer:
B and C
Step-by-step explanation:
Those 2 are the only ones that equal 5,-5
Un aserradero adquiere maquinaria y equipo para el corte de madera, que va perdiendo valor conforme transcurren los años, hasta que su valor contable es cero, como indica la gráfica de la función D(x)=(-x^3+2x^2+20x+20)/(x^2+4x+4) que modela esta depreciación en el eje y cada unidad son 20 000 pesos y en el eje x cada unidad es de 3 años.
a) ¿Cuál es el valor inicial del equipo y herramienta? ¿cuánto se ha depreciado al cabo de 12 años?
b) ¿existe un modelo lineal que aproxime los mismos valores que la función D(x)?
c) ¿En cuánto difieren los valores de ambas funciones al cabo de 9 años?
Answers
Answer:
-1 5
Step-by-step explanation:
6. If radius is 18 am and an angle at center of circle
is 120 degrees, then the area of the sector is.......
A. 382.4 cm
B. 339.3 cm?
C. 350 cm2
D. 300 cm?
Answers
Answer:
Try A
Step-by-step explanation:
382.4cm
The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.
Answers
Complete question :
The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples are surveyed to collect the hours per week the husband spends on child care. The sample mean is 7.0 hours per week, and the sample standard deviation is 2.4276 hours per week. Use Excel to answer the following questions. a. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported by Time in your area? b. What is the test statistics of the population mean? c. Using a .05 level of significance, what are the critical values? d. What is your conclusion?
Answer:
H0 : μ = 6.4
H1 : μ ≠ 6.4
Test statistic = - 1.563
Critical value = ±2.023
Fail to reject the null ; there is no significant evidence to support the claim that mean number of hours spent differs
Step-by-step explanation:
H0 : μ = 6.4
H1 : μ ≠ 6.4
Test statistic, Z :
(Xbar - μ) / (s/√n)
(6.4 - 7) / (2.4276/√40)
-0.6 / 0.3838372
T= -1.563
α = 0.05 ; df = n - 1 = 40 - 1 = 39
Critical value(0.05, 39) = ±2.023
|T| > +Tcritical ; Reject the Null
Since |T| < +Tcritical ; then we fail to reject the Null, hence, we conclude that there is no significant evidence to support the claim that mean number of hours spent by married men in child care differs.
Find the 8th term in the
sequence
-1/2,-1, -2, -4,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term – 1)
Answers
Answer:
-64
Step-by-step explanation:
By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:
[tex]t *r^{n-1}[/tex]
where t is the first term and r is the ratio. We can substitute in the information we know:
[tex]-\frac{1}{2} *2^{n-1}[/tex]
We are looking for the eighth term, so we substitute 8 where n is:
[tex]-\frac{1}{2}*2^{8-1}[/tex]
We can simplify:
[tex]-\frac{1}{2}*2^7[/tex]
[tex]-2^6[/tex]
[tex]-64[/tex]
I which of the following is the correct measure of angle ACD?
Answers
Answer:
And the reasoning behind this calculation is because they're alternate angles on parallel lines. So, therefore, we can say, using the information that we've been given, we can say that the measure of angle is equal to 127 degrees
The product of the square of a number and 8. Let the unknown number equal five. plz i need the answer
Answers
Answer:
200
Step-by-step explanation:
If you multiply 8 by the number 5's square, 25, you get 200
write 5/3 as a mixed number
Answers
Answer: 1 2/3
Step-by-step explanation:
Answer:
1 2/3
Step-by-step explanation:
3/3 is = 1
2/3 = 2/3
5/3 = 1 + 2/3
5/3 = 1 2/3
Hope this helps!
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 288)(2,288).
Answers
Answer:
[tex]y = 18*4^x[/tex]
Step-by-step explanation:
We want an exponential equation in the following format:
[tex]y = ab^x[/tex]
Point (0,18):
This means that when [tex]x = 0, y = 0[/tex]. So
[tex]y = ab^x[/tex]
[tex]18 = ab^0[/tex]
[tex]a = 18[/tex]
So
[tex]y = 18b^x[/tex]
Point (2,288):
This means that when [tex]x = 2, y = 288[/tex]. So
[tex]y = 18b^x[/tex]
[tex]18b^2 = 288[/tex]
[tex]b^2 = \frac{288}{18}[/tex]
[tex]b^2 = 16[/tex]
[tex]b = 4[/tex].
So
[tex]y = 18*4^x[/tex]
i don’t know if it’s B or C what do you guys think?
Answers
Answer:
I think it is D.
Step-by-step explanation:
It is a guess, but I am not fully sure.
If correct, may I have a brainliest?
XxRoadToAcexX
Answer:
D) 17.51
Step-by-step explanation:
D) 17.51
please answer this as quick as possible.
Answers
Answer:
False
x=8-10=-2
Step-by-step explanation:
[tex]10 = x - 8 \\ ➡ \: x = 10 + 8 \\ ➡ \: x = 18[/tex]
[tex]\sf\red{The\:value\:of\:x\:is\:18.\:}[/tex]
[tex]\sf\pink{Hence,\:it\:is\:false.}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
1. AIDS is caused by a virus called HIV. True or false
Answers
Answer:
[tex]\huge\boxed{True\hookleftarrow}[/tex]
⎆ AIDS (Acquired Immunodeficiency Syndrome) is caused by a virus named HIV (Human Immunodeficiency Virus). This disease can be transmitted through :-1) sexual contact2) transfer of blood etc.A group of students is painting a background piece for the school play. What is the area of the gray part of the background. Please help no links
Answers
Answer:
1324 in²
Step-by-step explanation:
Rectangle: 40x30=1200
Triangle: 1/2x10x30=150
1200+150=1350
Door: 3x6=18
Window: 2x4=8
18+8=26
1350-26=1324
Find the area of the shaded region to the nearest tenth
Answers
Answer:
B. A = 119.1 in.²
Step-by-step explanation:
A = area of trapezoid - area of circle
A = ½(b1 + b2)h - πr²
A = [½(27 + 12)(14) - 3.14159(7²)] in.²
A = 119.1 in.²
How many times can you fill a 250ml cup from a 4 litre jar?
Answers
Gail bought 7/8 pound of cheese and Jose bought 1/3 pound of cheese. How much more cheese did Gail buy than Jose?
Answers
Answer:
7/8 * 3 = 21/24
1/3 * 8 = 8/24
21-8 = 13
Gail bought 13/24 pound more than Jose
PLEASE HELP ITS URGENT Select the correct answer.
Which document do you need to have on hand when preparing to file your tax return ?
Answers
Answer:
a it's birth certificate
1
(b) If x= 1 - 2 then find the value of x-
x
Answers
Answer:
I think x - x = 0
FILLER FILLER
middle school math (05.02)The area of the parallelogram below is square meters. 6 m 8 m 2 m Numerical Answers Expected! (Picture included)
Answers
In a basketball game, Ellen scores 20 more points than Kevin, and Kevin scores three times as many points as Bob. If 48 points were scored in total by these three players, how many points did Kevin score?
Answers
Ms. Hall withdrew $20 from her checking account twice a week. Her total withdrawal amount when she last checked was -$220. How many weeks has she been doing this for?
Answers
Answer: five and a half weeks.
Step-by-step explanation: 20 times 2 (the twice a week deposit) = 40. 220 (the negative checking) divided by 40 (the deposits each week) equals 5.5
How many more barrels of gasoline then diesel were produced last year
Answers
Answer:
3,000,000
Step-by-step explanation:
A triangle has base 4 cm
and height 9 cm, What is its
area
Answers
A= hb/2 = 9·4/2 = 18
Answer:
18 cm^2
Step-by-step explanation:
Formula for area of triangle: bh/2
4x9=36
36/2=18
The radius of a sphere is 3 inches. Which represents the volume of the sphere? o 12pie cubic inches 36pie cubic inches O 64pie cubic inches 81pie cubic inches
Answers
Answer:
36 pie cubic inches
Step-by-step explanation:
Use the formula: [tex]V = \frac{4}{3} \pi r^{3}[/tex]
Plug in the value for radius and solve:
[tex]V = \frac{4}{3} \pi 3^{3}[/tex]
Becuase of the nature of the answer options, you only have to solve to a certain point: [tex]V = 36 \pi[/tex]
Specialized license plates have seven permissible characters: letters, numbers, a dash (-)
and the ampersand (&). How many custom plates are available?
Answers
Answer:
[tex]Total = 38^7[/tex]
Step-by-step explanation:
Given
[tex]Plate\ Number = 7\ characters[/tex]
[tex]Letters \to 26[/tex] [tex]\to [A- Z][/tex]
[tex]Numbers \to 10[/tex] [tex]\to [0 - 9][/tex]
[tex]Dash \to 1[/tex] [tex]\to [ - ][/tex]
[tex]Ampersand \to 1[/tex] [tex]\to [\&][/tex]
Required
Number of possible characters
Since the order and ways of selecting each character is not selected, then it means that any of the permissible character can occupy any of the 7 available spaces, with repetition.
The total possible characters (n) is:
[tex]n = 26 +10 + 1 + 1[/tex]
[tex]n = 38[/tex]
Any of the 38 characters can occupy any of the 7 spaces.
Hence, the total number of character is:
[tex]Total = n^7[/tex]
[tex]Total = 38^7[/tex]
Write an equation of the circle with center (3,-2) and radius 11.
Answers
let h= 3, k=-2
radius (r) = 11 ,then
(x-h)^2 + ( y-k)^2 = r^2
(x-3)^2 + ( y+2)^2 = 11^2
x^2 -6x +9 + y^2 +4y +4 = 121
x^2 + y^2 - 6x +4y -108 = 0 is the required eq
Find the missing length indicated
Please help, no links
Answers
Answer:
x = 48
Step-by-step explanation:
36/x = x/64
x² = 36 x 64 = 2304
x = √2304 = 48
Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? 6 O 3V17 square units B (3, 3) O 6/17 square units O 17 square units O 34 square units 6-5-4-3-2-11 3 4 5 6 X -3 C (1.-5)
Answers
Answer: b is correct
Step-by-step explanation: i did this
The area of rectangle ABCD is 34 square unit.
What is Distance Formula?In a cartesian plane there are two coordinates as P(a, b) and Q(c, d) then the distance between these points are
PQ = √(c- a)² + (d- b)²
We have Coordinates of rectangle
A(-1, 4), B(3, 3), C(1, -5) and D(-3, -4)
Using Distance Formula
AB = √ (3-4)² + (3+1)²
AB = √1 + 16
AB = √17 unit
Now, CB = √(-5-3)² + (1-3)²
CB= √ 64 + 4
CB = √68
CB = 2√17 unit
So, the area of Rectangle ABCD is
= l w
= √17 x 2√17
= 2 x 17
= 34 square unit
Learn more about Distance Formula here:
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