Answer:
RootIndex 6 StartRoot 432 EndRoot
Step-by-step explanation:
To find the following product
[tex] \sqrt[3]{4} \times \sqrt{3} [/tex]
we can rewrite the radicals and then replace them into the multiplication, as follows:
[tex] \sqrt[3]{4} = 4^{\frac{1}{3}} = 4^{\frac{1}{3} \times \frac{2}{2}} = 4^{\frac{2}{6} = \sqrt[6]{16}[/tex]
[tex] \sqrt{3} = 3^{\frac{1}{2}} = 3^{\frac{1}{2} \times \frac{3}{3}}} = 3^{\frac{3}{6}} = \sqrt[6]{27} [/tex]
[tex] \sqrt[3]{4} \times \sqrt{3} = \sqrt[6]{16} \times \sqrt[6]{27} = \sqrt[6]{16 \times 27} = \sqrt[6]{432} [/tex]
Answer:
C edge 2021 :)
Step-by-step explanation:
If the largest value in a data set is 12 and the range is 3, what is the smallest value in the set?
So the smallest value in the set is 9.
Look at the attached picture
Hope it will help you
Good luck on your assignment
The graph of f(x) = (0.5) is replaced by the graph of g(x) = (0.5)* - k. If g(x) is obtained by shifting f(x) down by 3 units, then what is the value of k?
Ok=-3
Oka-
O
OK= 1/3
Ok = 3
Answer:
[tex]k = 3[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 0.5x[/tex]
[tex]g(x) = 0.5x - k[/tex]
Required
[tex]Find\ k[/tex]
Initial expression of f(x) is [tex]f(x) = 0.5x[/tex]
From the question; we understand that f(x) was shifted down by 3 units;
This implies that
[tex]New\ f(x) = 0.5x - 3[/tex]
Also from the question; we understand that this new f(x) is equivalent to g(x);
In other words;
[tex]New\ f(x) = g(x)[/tex]
Substitute[tex]New\ f(x) = 0.5x - 3[/tex] and [tex]g(x) = 0.5x - k[/tex]
This gives
[tex]0.5x - 3 = 0.5x - k[/tex]
Subtract 0.5x to both sides
[tex]0.5x - 3 - 0.5x = 0.5x - k - 0.5x[/tex]
Rearrange
[tex]0.5x - 0.5x - 3 = 0.5x - 0.5x- k[/tex]
[tex]-3 = -k[/tex]
Multiply both sides by -1
[tex]-3 * -1 = -k *-1[/tex]
[tex]3 = k[/tex]
[tex]k = 3[/tex]
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Answer:
B
Step-by-step explanation:
Subtitution method:
y=6x-4 (1)
y=7x-7 (2)
subtitute 7x-7 into (1) because both y1 and y2 are same
7x-7=6x-4
7x-6x=-4+7
x=3
subtitute x=3 into any equation
eg: y=6x-4 y=7x-7
=6(3)-4 or =7(3)-7
=14 =14
Therefore, The answer is (3,14)
Answer:A
Step-by-step explanation: It is a because you should trust me
Evaluate 1/2m - 2/3n when m = 3 and n = 8.
A) -23/6
B) 41/6
C) -19/6
D) 2
Answer:
1/2(3)-2/3(8)
3/2-9/3
3-9
2.3
9-32
6
-23
6
Which expression is equivalent to
Answer:
B. [tex]\sqrt[9]{xy^2}[/tex]
Step-by-step explanation:
Answer:
[tex]x(\sqrt[9]{y^2} )[/tex]
Step-by-step explanation:
[tex]xy^{2/9}[/tex]
The power 2/9 is on the variable y.
[tex]x(y^{2})^{1/9}[/tex]
The power 1/9 can be written as the ninth root.
[tex]x(\sqrt[9]{y^2} )[/tex]
Convert the following complex number into its polar representation:
-40
O A. 4(6052isang
37
B. 2(cos(+ isin)
C. 16(COST* isin x)
O D. -4(cose i sin
Answer:
The correct option is B. 3√2(cos(135°) + i·sin(135°))
Step-by-step explanation:
The complex number is given as : 3 - 3i
Now, comparing this with the standard for : a + bi
⇒ a = 3 and b = -3
Now, r = √a² + b²
⇒ r = √18
⇒ r = 3√2
Now, The polar form is represented by :
z = r(cosθ + i·sinθ)
⇒ z = 3√2(cos 135° + i·sin 135°)
Therefore, the correct option is B. 3√2(cos(135°) + i·sin(135°))
Step-by-step explanation:
Find the missing height
Answer:
h = 39.8 inches
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h
We know the diameter d = 32 so the radius is 1/2 of the diameter
r = d/2=32/2 = 16
32000 = pi (16)^2 h
32000 = 256 ( pi) h
Divide each side by 256 pi
32000 / 256 pi = h
125/pi = h
Using 3.14 for pi
39.8089172 = h
Rounding to the nearest tenth
h = 39.8 inches
Practice using experimental probability.
Asment
The experimental probability of getting a 3 on a number cube is 5/36. Which of the following is true about the event's
experimental probability?
The number 5 was rolled 36 times.
O The number 3 was rolled 5 times in 36 trials.
o The number cube was rolled 41 times
After 5 trials, the number 3 was rolled 36 times.
Intro
Done
the sum of the measures of the interior angles of a polygon with n sides is
Answer:
A
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = (n - 2) 180° ← n is the number of sides → A
The sum of the interior angles of a polygon with n sides is (n - 2) 180°.
What is the sum of all interior angles of a regular polygon?The sum of all interior angles of an ordinary polygon is calculated via the method S=(n-2) × 180°, where 'n' is the number of sides of a polygon.
What is a polygon?A polygon is a closed-dimensional form this is formed by means of enclosing line segments. not less than 3 line segments are required to make a polygon.
Learn more about polygon here https://brainly.com/question/1592456
#SPJ2
Emilio borrows $1200 from a bank with 7.5% simple interest per year. How much will he have to pay back total in 4 years?
Answer:
1560
Step-by-step explanation:
1200*0.075 = 90
1200+90+90+90+90
Answer:
$1,560
Step-by-step explanation:
7.5% of $1,200 is 90. 90 times 4 (as in 4 years) is 360.
$360 plus $1,200 is $1,560.
Find the measurement of both complementary angles, if:
c
They are equal.
Answer:
Complementary angles add to 90 degrees.
If they are equal, each angle is 45 degrees.
Step-by-step explanation:
which linear inequality is represented by the graph?
Answer:
A
Step-by-step explanation:
y-int. = 2
Slope m= rise/run = 1/2
The line has an equation y = (1/2)x +2
Shading is under the line, so y≤(1/2)x +2. Answer is A.
6. If Scott Hoff has a balance of $429.50 on a credit card that charges a finance charge computed at 2.5%, what is the
new balance? Round your answer to the nearest cent.
A $432.00
B $486.98
IC $440.24
D $455.35
HELP PLS WHATS THE SOLUTION
Answer:
C.440.24
Step-by-step explanation:
To get the new balance first multiply the extra balance
[tex]\frac{2.5}{100}*429.50[/tex]
[tex]\frac{1073.75}{100}[/tex]
[tex]10.7375[/tex]
so add the new balance to 429.50
429.50+10.7375=440.2375=440.24
Answer:
C. $440.24
Step-by-step explanation:
Multiply 0.025 (the decimal form of 2.5%) to 429.50:
429.50 · 0.025 = 10.7375
Then add the sum to the original balance:
429.50 + 10.7375 = 440.2375
Round to nearest hundredth:
440.24
what is the slope of the line that contains the points (2,6) and (-1,-6)?
Answer:
4
Step-by-step explanation:
6 --6=12
2--1=3
12/3=4
Question 3 of 10
2 Points
What are the square roots of 81? Check all that apply.
A. 3
B. -9
C. 9.5
D. |9|
E. -3
F. 9
Answer:
F. and D.
Step-by-step explanation:
square root of 81 is 9 because 9 is a number which produces a specified quantity when multiplied by itself.
3x-2y<-6
Write in slope intercept form
Answer:
y>1.5x+3
Step-by-step explanation:
All you need to do is isolate y, no coefficients, using basic algebra.
3x-2y<-6
-3x both sides
-2y<-3x-6
divide by -2 and switch the comparing sign to the other direction.
y>1.5x+3
Answer:
y > 3/2x +3
Step-by-step explanation:
3x-2y<-6
Subtract 3x from each side
3x-3x-2y<-3x-6
-2y< -3x-6
Divide each side by -2, remembering to flip the inequality
-2y/-2 > -3/-2x -6/-2
y > 3/2x +3
Find f(-3) for f(x) = 4(2)
O A. -32
1
B
B
C.
-IN
D. - 24
Answer:
Im confused on how its wrote down
Step-by-step explanation:
Help pls thank youuuu!
Answer:
It is A again.
Step-by-step explanation:
Equation given:
[tex]F=kx-kx_{0}[/tex]
We have to isolate [tex]x[/tex]
[tex]F+kx_{0}=kx[/tex]
Divide both sides by [tex]k[/tex]
[tex]$\frac{F+k_{0}}{k}=x$[/tex]
The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5. What is the first term of series?
Answer:
4Step-by-step explanation:
Suppose
S = sum of the six termsa1 = the first term[tex]\left. { S = a _ { 1 } \frac { 1 - 5 ^ { 6 } } { 1 - 5 } } \\\\ { \Leftrightarrow S = \frac { a _ { 1 } } { 4 } ( 5 ^ { 6 } - 1 ) } \\\\ { \Leftrightarrow a _ { 1 } = \frac { 4 S } { 5 ^ { 6 } - 1 } } \right.[/tex]
then a1 = (4×15 624)÷(5^(6)-1)
= 4
If a rectangle has an area of 200 square inches and the height is 25 inches what is the length of the missing base
We know that [tex]A=hl[/tex]. Given [tex]A[/tex] and [tex]h[/tex] we can find [tex]l[/tex].
How? Well here is a procedure.
[tex]
A=hl \\
\frac{A}{h} = \frac{hl}{h} \\
\frac{A}{h} = l \\
l=\frac{200}{25}=\boxed{8\mathrm{in}}
[/tex]
Hope this helps.
*PLEASE ANSWER* Write an equation for the circle whose graph is shown.
Answer:
D .
Step-by-step explanation:
(x+2)2+y2=4.
this is because the equation for the circle is in the graph.
Answer:
D
Step-by-step explanation:
PLEASE HELP ME!!!
1) Lakisha wants to buy some bitcoins. The exchange rate is $1 USD to 0.003 bitcoin. How many bitcoins can she buy with $400?
Enter your answer as a decimal, for example: 4.6
Answer:
1.2
Step-by-step explanation:
She bought 1.2 bitcoins in $400.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that,
Number of bitcoins in $1 USD = 0.003
The to find the number of bitcoins in $400
We just multiply 400 by the number of bitcoin bought in 1 $1 USD
Therefore,
The number of bitcoin she bought in $400 is,
= 400 x 0.003
= 1.2
Thus,
Number of bitcoins in $400 = 1.2
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ3
Factoring Quadratics - Please help; will mark Brainliest!
Answer:
1) x = -1 or x = -10 (either of them are both correct)
2) x = 3 or x = -5
Step-by-step explanation:
Let's solve your equation step-by-step.
x2 + 11x + 10 =0
Step 1: Factor left side of equation.
(x + 1)(x + 10) = 0
Step 2: Set factors equal to 0.
x + 1 = 0 or x +10 = 0
x = −1 or x = −10
Answer:
x = −1 or x = −10
2x^2 + 4x − 30 = 0
Answer:
x = 3 or x = −5
Mr. Henry spent $15 on a new hat this week. He learned that the same hat available on sale at $12 last week. What was the percentage increase in the price of the hat this week?
*please help:)
-must haves:)….
right answer.
step-by-step.
makes sense.
^I will mark someone the brainiest if more than one person answers this :)
Answer:
1.8
Step-by-step explanation:
Write the slope intercept form through: (5,1) and(2, -2)
Answer:
The slope of line passes (x1, y1) and (x2, y2) could be calculated by:
slope = (y2 - y1)/(x2 - x1)
=>A line passes (5, 1) and (2, -2) has the slope:
slope = (-2 - 1)/(2 - 5) = (-3)/(-3) = 1
Hope this helps!
:)
parellograms please help :)
Answer:
1) 114
2) 120
3) 35
4) 92
5) 83=10x+3
x=8
6) 2x+4+130=180
2x=46
x=23
7) 92+8x=180
x=11
8) 3x+8=35
x=9
9) 16x+4=180
16x=176
x=11
10) 76+x+104=180
x=0
2x + 3y = 36, when y = 6?
Answer:
x=9
Step-by-step explanation:
2x+3(6)=36
2x+18=36
2x=18
x=9
Answer:
x=9
Step-by-step explanation:
if y=6 its now 2x + 18 =36. Subtract 18 from both sides. 2x = 18. 2(9) = 18. Therefore x=9
Please help me!!
You eat 2 slices of a 14-inch pizza which totals 34 square inches. At what angle were the pizza slices cut? Show your work. Round your answer to the nearest whole number.
The angle at which the pizza slices were cut would be 39.75°. The round-off to the nearest whole number would be 40°.
To find out the angle at which the pizza slices were cut, we need to first find out the angle of each slice of the pizza.
As per the question,
The total area of the pizza= 34 square inch
The total angle of the pizza= 360 degrees
We already know the area of a pizza= [tex]\pi r^2[/tex]
[tex]\pi[/tex]= 3.14
The diameter of the pizza, given= 14 inch
Therefore, the radius of the pizza= 7 inch
Area of the pizza= [tex]3.14*7^2[/tex]
=153.94
Now, the angle of the slice can be determined by:
The angle of the slices= (Area of each slice/Area of the pizza)* Total angle
The angle of the slices= (34/153.94)*360
=79.51
Since you ate 2 slices,
the angle of one slice = 79.51/2
=39.75 or the round-off would be 40.
Therefore, the angle at which the pizza slices were cut is 40°.
To know more about areas,
https://brainly.com/question/25292087
https://brainly.com/question/14068861
Which expression is a polynomial? a. 9x^7 y^-3z b. 4x^3 - 2x^2 + 5x - 6+ 1/x c. - 13 d. 13x ^-2
Answer: B.
Step-by-step explanation:
Polynomials cannot have negative exponenets because x^-3 can be written as 1/x^3 and terms containing fractional exponents are not considered polynomials
Why is the product of a rational number and an irrational number Irrational?
Answer:
Because the product is always non-termination,non-repeating decimal.
Step-by-step explanation:
If we have [tex]a[/tex] is irrational; [tex]b[/tex] is rational such that [tex]b \neq 0[/tex] , then [tex]a \cdot b[/tex] is irrational.
A way to represent this is:
[tex]a\in\mathbb{R}\setminus\mathbb{Q}, b\in\mathbb{Q},ab\in\mathbb{Q}\implies a\in\mathbb{Q}\implies\text{Contradiction}\therefore ab\not\in\mathbb{Q}.[/tex]
Note that we have a contradiction, because [tex]a[/tex] is not a rational number, as I stated in the beginning. Therefore, ab is irrational.
Answer: A
Step-by-step explanation:
Multiplying an irrational number by a rational number will always be an irrational number because irrational numbers do not repeat and terminate.
So for example multiplying pi by a rational like two you will have an irrational number because pi is an irrational number.
[tex]\pi * 2[/tex] = 6.28318530718 as you could see that is an irrational number because there is no repetition or termination.
