Given parameters:
Evaluate;
[tex]\sqrt[4]{(16)^{-2} }[/tex]
Now let us solve this;
[tex]\sqrt[4]{(16)^{-2} }[/tex];
the fourth root can be expressed as the power of [tex]\frac{1}{4}[/tex] ;
[tex]\sqrt[4]{(16)^{-2} }[/tex] = [(16)⁻²][tex]^{\frac{1}{4} }[/tex]
= (16)[tex]^{-2 x \frac{1}{4} }[/tex]
= (16)[tex]^{\frac{-1}{2} }[/tex]
= [tex]\frac{1}{16^{\frac{1}{2} } }[/tex]
= [tex]\frac{1}{\sqrt{16} }[/tex]
= [tex]\frac{1}{4}[/tex]
The solution is [tex]\frac{1}{4}[/tex]
Jasmine drives every morning to her office that is 12 miles from her home.
Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation.
part b question isJasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many minutes does it take her to reach the office?
Answer:
looma
Step-by-step explanation:
If M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:
The members of M
The members of N
M∪N;
M∩N.
Please show working
Step-by-step explanation:
members of "M" = 2,3,5,7,11
members of "N" = 1,2,3,4,6,12
M∪N = 1,2,3,4,5,6,7,11,12
M∩N = 2,3
intersection is the overlapping numbers in the sets
union is the set with all the numbers but they cannot be duplicates
The members of "M" [tex]=[/tex] [tex]2,3,5,7,11[/tex]
The members of "N" [tex]= 1,2,3,4,6,12[/tex]
M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]
M∩N [tex]= 2,3[/tex]
What is Prime number ?
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.
According to questions, M = {Prime integers between [tex]1[/tex] and [tex]11[/tex]}
and N = { factors of [tex]12[/tex]}.
We have to find the members of M, the members of N, M∪N and M∩N.
M = {Prime integers between [tex]1[/tex] and [tex]11[/tex]} [tex]=[/tex][tex]2,3,5,7,11[/tex]
N = { factors of [tex]12[/tex]} [tex]= 1,2,3,4,6,12[/tex]
So, M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]
and M∩N [tex]= 2,3[/tex]
Hence, we can conclude that
The members of "M" [tex]=[/tex] [tex]2,3,5,7,11[/tex]
The members of "N" [tex]= 1,2,3,4,6,12[/tex]
M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]
M∩N [tex]= 2,3[/tex]
Learn more about Prime number here:
https://brainly.com/question/25475296?referrer=searchResults
#SPJ2
A right triangle has the side length of 7, 24, and 25 units. A scaled copy of the triangle is drawn. Which of the following could be side lengths, in units, or the scaled copy? Select sll that apply.
Answer:
I literally don’t know
Step-by-step explanation:
ABC de fg
Choose a justification for each step in the derivation of the sine difference identity.
Answer:
Step-by-step explanation:
The missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even and sine function is odd respectively.
Given:
The given expression is [tex]\sin (x-y)[/tex].
To find:
The justification for each step.
Explanation:
Cofunction identities:
[tex]\sin\left(\dfrac{\pi}{2}-x\right)=\cos x[/tex]
[tex]\cos\left(\dfrac{\pi}{2}-x\right)=\sin x[/tex]
Cosine difference identity:
[tex]\cos(x-y)=\cos x\cos y+\sin x\sin y[/tex]
Cosine function is even, so [tex]\cos(-x)=\cos x[/tex].
Sine function is odd, so [tex]\sin(-x)=-\sin x[/tex].
We have,
[tex]\sin (x-y)[/tex]
[tex]=\cos\left|\dfrac{\pi}{2}-(x-y)\right|[/tex] Step 1: Cofunction identity
[tex]=\cos\left|\dfrac{\pi}{2}-x+y\right|[/tex] Step 2: Distributive property
[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)+y\right|[/tex] Step 3: Associative property
[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)-(-y)\right|[/tex] Step 4: Factoring out
[tex]=\cos\left(\dfrac{\pi}{2}-x\right)\cos(-y)+\sin\left(\dfrac{\pi}{2}-x\right)\sin(-y)[/tex] Step 5: Cosine difference identity
[tex]=\sin(x)\cos(-y)+\cos(x)\sin(-y)[/tex] Step 6: Cofunction identity
[tex]=\sin(x)\cos(y)-\cos(x)\sin(y)[/tex] Step 7: Cosine function is even, sine function is odd
Therefore, the missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even, sine function is odd respectively.
Learn more:
https://brainly.com/question/20919234
C 0
An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store
contains details about brand, type (countertop or over-range), number of power settings, and color. Which of the
variables is a discrete quantitative variable?
O brand
O type
power settings
O color
Answer:
Power settings.
Step-by-step explanation:
In Mathematics, a random variable can be defined as any variable whose values are determined by the outcome of a random experiment.
Basically, random variables are classified into two (2) main categories and these are; continuous and discrete random variable.
A discrete random variable is a data set in which the number of possible values are either finite or countable. For example, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.
In this scenario, an appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, type (countertop or over-range), number of power settings, and color.
Hence, the variable which is a discrete quantitative variable is the number of power settings because its values are countable or finite, usually it ranges from 100 to 800.
what is 9x2y-3 if x = 5 and y = 3.
Answer:
267
Step-by-step explanation:
solve the proportion 1/6 ÷3/4
Answer:
the answer is 2/9
Step-by-step explanation:
1/6 ÷ 3/4
= 1/6 × 4/3
= 4/18
= 2/9
x–2(x+1)+3(x+2)=x–4
(show work too please)
Answer:
x = -12
Step-by-step explanation:
x-2(x+1)+3(x+2) = x-4 (equation)
x-2x+2+3x+6 = x-4 (simplify)
2x+8 = x-4 (combine like terms)
x+8 = -4 (subtract x from both sides)
x = -12 (subtract 8 from both sides)
Which of the following is equivalent to
the expression below?
7h +1
A. h +7
B. 7(h + 1)
C. (5h + 2) + 1
D. (5 + 2)h + 1
o
O
D
What is the product of 2.52 and 3.4?*
Answer:
The answer is D
Step-by-step explanation:
(5+2)h+1 add 5 and 2 together and you get 7h+1
Please help me. WILL GIVE BRAINLIEST
Answer:
d
Step-by-step explanation:
Answer:
third option
Step-by-step explanation:
Given that x = - 2 + [tex]\sqrt{8}[/tex] is a root
Complex roots always occur as conjugate pairs , thus
x = - 2 + [tex]\sqrt{8}[/tex] is a root then x = - 2 - [tex]\sqrt{8}[/tex] is a root
The required factor is then
(x - (- 2 - [tex]\sqrt{8}[/tex] ) )
TO ANY MATH GEOMETRY GENIUS HELP ME OUT PLS
Answer:
The answer is A
Step-by-step explanation:
since JHG = 65, then the other two angles added together = 65. Therefore, I can just add what the two smaller angles are to equal 65. Solve for x, then plug x into one of the equations! JHI = 19, and GHI = 46
Which expression is equivalent to 3^ • 3^-5
Answer:
9^ x -^ 5
Step-by-step explanation:
18x (14 - 9) ÷[12 - (19 - 13)] = what is the answer
Answer:
15
Step-by-step explanation:
18 . ( 14 - 9 ) ÷ [ 12 - ( 19 - 13 ) ]
18 . ( 5 ) ÷ [ 12 - 6 ]
90 ÷ 6
15
someone help me with this answer please!!!
Answer:
C
Step-by-step explanation:
Both AB and AC have the length of 8, meaning that they're congruent.
This means that we have an isosceles triangle.
Angle B and Angle C are equal and all angles in a triangles add up to 180 degrees so:
30 + 30 = 60
180 - 60 = 120
So C would be your answer.
Please let me know if I'm incorrect :)
Answer:
120°
Step-by-step explanation:
This is an Isosceles triangle and that means angle C = angle B
Since the sum of interior angles in a triangle is equal to 180° the measure of angle A is = 120°
The co-interior angle of 105 degree is
Answer:
[tex]75 \: \: degrees[/tex]
Step-by-step explanation:
[tex]180 - 105 =7 5[/tex]
The sum of the co interior angles is 180 degrees
A New York City veterinary technician makes $40,532.00 per year. He is paid every two weeks. What is his gross pay per paycheck? (Remember there are 52 weeks in a year)
Answer:
His gross pay per paycheck is $1558.92
Step-by-step explanation:
$40,532.00 ÷ 52 = 779.461538462
779.461538462 × 2 = 1558.92308
1558.92308 ≈ $1558.92
What is an equation of the line that passes through the point (2,-2) and is parallel
to the line 5x – 2y = 4?
Answer:
y=2.5x-7
Step-by-step explanation:
First, 5x - 2y = 4
=> - 2y = 4 - 5x
y = 2.5x -2
Since the line we want to know is parallel to the given one,
its slopw would be 2.5 as well
so let the line passes through the point (2,-2) be y=2.5x+a
then 2.5* 2 +a = -2 => a = -7
Final answer: y=2.5x-7
y=5/2x-7 is equation of the line that passes through the point (2,-2) and is parallel to the line 5x – 2y = 4.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that, a line is passing through (2,-2) and is parallel to line 5x – 2y = 4.
We need to find the equation of other line.
We need to write the equation of line in slope intercept form.
5x – 2y = 4
-2y=4-5x
2y=5x-4
y=5/2x-2
The slope of line is 5/2
Since the line we want to know is parallel to the given one,
If two lines are parallel then slope of two lines will be parallel.
So the slope of line passing through (2, -2) should be 5/2.
let the line passes through the point (2,-2) be y=5/2x+c
then 5/2(2) +c = -2
c=-2-5
c=-7
Equation of line parallel to 5x-2y=4 is y=5/2x-7
Hence y=5/2x-7 is equation of the line that passes through the point (2,-2) and is parallel to the line 5x – 2y = 4.
#SPJ2
A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 each year, and video games would then only cost $2.50 each to rent. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal.
Answer:
24
Step-by-step explanation:
Cost of membership + game = 2.50x + 54
Cost of just games = 4.75x
The catch is, how do we make up the 54 dollars?
So equate the 2 costs
4.75x = 2.50x + 54 Subtract 2.50
4.75x - 2.50x = 54 Combine
2.25x = 54 Divide by 2.25
x = 54/2.25
x = 24
That means that 24 is the break even point.
I need a quick reply if possible
Answer:d
Step-by-step explanation:
Answer:
d is the answer to your question
What does (8+4n)2 equal??
Answer: =8n+16
PLEASE DO BRAINLIEST I EVEN EXPLAINED IT
Step-by-step explanation:
=(8+4n)(2)
=(8)(2)+(4n)(2)
=16+8n
=8n+16
Find the distance between the points 7,-1 and -2,4
Answer:
VVV
Step-by-step explanation:
The difference in x coordinates is 11, and the difference in y coordinates is 9. 11*11 + 9*9=202, so the answer is [tex]\sqrt{202}[/tex].
3. Solve 3(x - 2) = 27. A. 21 B 9.67 D.7
Answer:
x = 11
Step-by-step explanation:
Point Ris on line segment QS. Given QR = 3x – 8, QS = 3x, and
RS = 2x, determine the numerical length of RS.
Answer: RS
Submit Answer
attempt 1 out of 2
Answer:
RS = 8
Step-by-step explanation:
Given that R is on QS , then
QR + RS = QS , substitute values
3x - 8 + 2x = 3x , that is
5x - 8 = 3x ( subtract 3x from both sides )
2x - 8 = 0 ( add 8 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus
RS = 2x = 2 × 4 = 8
What is the equation of the line perpendicular to 2x – 3y = 6 that passes through the point (4, 1)?
A. 2x + 3y = 14
B. 2x – 3y = 14
C. 3x + 2y = 14
D. 3x – 2y = 14
E. 4x + y = 14
Answer:
2x + 3y = 14
100% sure final answer
i dont understand what the question is asking
Answer:
-9 ≤ x
Step-by-step explanation:
Thsi is probably right
Alonzo earns 8% commission on vacuum cleaner sales. This past month, Alonzo sold 70 units at $150.00 each. How much did Alonzo make in commissions for the past month?
Answer:
$840
Step-by-step explanation:
price of 1 vacuum cleaner = $150
total no . of vacuum cleaner sole = 70
thus,
price of 70 vacuum cleaner sold = 70*price of 1 vacuum cleaner
price of 70 vacuum cleaner sold = 70*$150 = $10,500
commission of Alonzo = 8% of total vacuum cleaner sold
commission of Alonzo = 8% of $10,500
commission of Alonzo = 8 /100 * $10,500 = $840
Thus, Alonzo made $840 in past month
its in the linked picture
Which answer choice shows two hundred two and two thousandths?
OA) 200.02
B) 200.202
OC) 202.02
OD) 202.002
Answer: D
Step-by-step explanation:
Two hundred two =202
The thousands place is the third place=.002
Answer:
D
Step-by-step explanation:
(b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! NEED ANSWER ASAP WILL DO BRAINLEIST AND ITS 30 POINTS!!!
Columbus, Ohio:8.25x 10^5
The United States: 3.2*10^8
Answer:
The population of the United States is 387.87 times larger than the population of Columbus, Ohio.
Step-by-step explanation:
8.25 times 10^5 = 825,000
3.2 times 10^8 = 320,000,000
320,000,000 divided by 825,000 = 387.87
Plsss help! I don't understand
Answer:
x=18
Step-by-step explanation:
