Use the strategy to simplify 4√576
Write the prime factorization of the radicand.
[tex]\begin{array}{r|l}576&2\\288&2\\144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}[/tex]
[tex]576=2^6\cdot3^2[/tex]
Therefore
[tex]4\sqrt{576}=4\sqrt{2^6\cdot3^2}[/tex]
A store is having a 20% off sale.The sale price of an item with price p is p-0.2p.what is an equivalent expression
Answer:
0.8p
Step-by-step explanation:
Hello!
As the questions states, 20% of p is 0.2p.
Simplifying the equation:
p - 0.2p0.8p0.8p is also 80% of p, which can be translated to 100% - 20% of p.
The equivalent expression is 0.8p.
What is the output of this program?
numA = 2
numB = 3
if numA == 2 and numB == 2:
print("yes")
elif numA == 2 and numB == 3:
print("no")
Output:
PLEASE HELP ME!!!!!!!!!
it will print no, because B = 3 and not 2 so it will skip the print yes line.
If f(x)=2x²+x-2, then f(-2)
Answer:
f(-2)=4
Step-by-step explanation:
put -2 where x is
f(x)=2x²+x-2
f(-2)=2(-2)²+(-2)-2
f(-2)=(2*4)-4
f(-2)=8-4
f(-2)=4
Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for .
A cylinder has a radius of 7 meters and a height of 2 meters.
The volume of the cylinder is approximately
m³.
help FAST!!
Answer:
[tex] \boxed{\rm \: Volume_{(Cylinder)} \approx \: 307.7 \: m {}^{3} } ( \rm \: nearest \: tenth )[/tex]
Step-by-step explanation:
Given:
radius = 7 metresheight = 2 metresπ = 3.14To Find:
Volume of the cylinderSolution:
Use the formulae of the volume of cylinder:
[tex] \boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}[/tex]
where,
π = 3.14r = radiush = heightAccording to the question:
radius = 7 metresheight = 2 metresSubstitute the values onto the formulae in order to find out the volume:
[tex] \rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} (2)[/tex]
[tex] \rm \: Volume_{(Cylinder)} = \pi(49)(2)[/tex]
[tex]\rm \: Volume_{(Cylinder)} = 98\pi[/tex]
[tex]\rm \: Volume_{(Cylinder)} = \: 98 \times 3.14[/tex]
[tex]\rm \: Volume_{(Cylinder)} = 307.72 \: m {}^{3} \: (exact \: form)[/tex]
[tex] \boxed{\rm \: Volume_{(Cylinder)} \approx \: 307.7 \: m {}^{3} } \: ( \rm nearest \: tenth )[/tex]
Hence,we can conclude that:
The volume of the cylinder is approximately
307.7m³.
I’m having trouble figuring out how to find the limit of this function algebraically.
Answer:
Step-by-step explanation:
Simplify the expression
(2x^2y)3
Answer: Heyaa! ~
When simplifying (2x^2y)3 the answer will be... 6x²y
Step-by-step explanation:
Multiply the numbers:
2x²y · 3 6x²yHopefully this helps you! ^^
solve for x in the diagram below
A fan in a baseball stadium is sitting in a seat with their eye level is a vertical distance of 350 ft above level.
A) When the fan is looking at home plate, the angle of depression is 30°. What is the horizontal distance from the fan to home plate? Round to the nearest 10th. Explain two different ways to determine this distance.
B) The same fan makes eye contact with a second fan in the stands that is seated at a lower row in the stadium. The straight-line distance between the eyes of the two fans is 300 ft and the angle of depression is 48°. What is the vertical distance between field level and the eyes of the second fan? Round to the nearest tenth.
Pls Answer If you dont know the answer then dont answer or i will report
The angle of depression of the airplane is 39.8°, length of the runway is 45794 ft, and approximate height of the tower is 321 m.
What is the angle of depression of the airplane?The angle of depression of the airplane is given as follows:
Let the angle of depression be A.
[tex]A= {tan}^{ - 1} ( \frac{15000}{8000} ) = {39.8}^{o} [/tex]
Angle of depression is 39.8°.
If the angle of elevation is 6.8°, the length of the runway l is calculated thus:
horizontal distance of airplane from end of runway = d
length of runway, L = d - 80000 ft
[tex]d = \frac{15000}{tan 6.8°} = 125794 ft[/tex]
L = 125794 - 80000
L = 45794 ft
The length of the runway is 45794 ft
2. Let the height of the tower be H
[tex]H = \tan(69.8) \times 118 = 321m[/tex]
The approximate height of the tower is 321 m
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12. If angles of measures (x - 2)° and (2x + 5)° are a pair of complementary angles, find the measures of
those angles.
A) 57" and 123
O B) 27" and 63
OC) 50 and 40°
OD) 30 and 60
Answer: B
Step-by-step explanation:
The angles add to 90 degrees if they are complementary, so:
[tex]x-2+2x+5=90\\3x+3=90\\3x=87\\x=29[/tex]
So, the angles measure 29-2=27 degrees and 2(29)+5=63 degrees.
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
These are Vertical angles, adjacent angles are next to each other and make up a whole angle, while vertical angles are across and equal the same thing.
X = 81 because 84 and (x + 3) are the same so 84 minus 3 is 81
Hope that helps
The ratio of the one leg of the right triangle to the other leg of the right triangle must be 8:7. Determine the greatest length of one leg of the right triangle given the other leg of the right triangle is 10.5 feet.
Answer:
534
Step-by-step explanation:
=
An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded contir
equation 200e0.08 - 350 represents the situation, where t is the number of years the money has been i
how long has the money been invested? Use a calculator and round your answer to the nearest whole
O 5 years
O 7 years
O 19 years
O 22 years
Answer:
7 years
Step-by-step explanation:
Your equation should read = 200 * e^(.08 t) = 350
solving for t = 6.99 yrs ~~ 7 years
Instructions
Choose the best answer. If necessary, use the paper you were given.
Question
Last month Simon repaired 45 refrigerators at the Ace Appliance
Company. This month he repaired 20 percent more refrigerators than
last month. How many refrigerators did he repair this month?
Answer:
54 refrigerators
Step-by-step explanation:
In order to find the amount of refrigerators this month, we can do it in one of 2 ways.
The easier way is to multiply 45 by 1.20:
(45)(1.20) = 54
1.20 represents a 120%. This is because 45 refrigerators is 100% of last month, and Simon repaired 20% more, so 100 + 20 = 120.
The next way would be to multiply 45 by 0.20, and then add it to 45.
(45)(0.20) = 9
45 + 9 = 54
Both of the ways result in 54. So, Simon repaired 54 refrigerators this month.
Hope this helps! If you have any questions about my work, please let me know in the comments below!
A circle has a radius of 18 ft. Find the length s of the arc intercepted by a central angle of 1.1 radians.
Do not round any intermediate computations, and round your answer to the nearest tenth.
The length of the arc of the circle will be 19.8 ft.
What is an arc of the circle?The arc of the circle is the distance of the circumference of the circle formed sector of the circle at a particular angle.
The formula for the length of the arc of the circle will be given as:-
Arc = Angle x radius
We have Angle = 1.1 radians Radius = 18ft
Arc = 1.1 x 18
Arc = 19.8 ft.
Therefore the length of the arc of the circle will be 19.8 ft.
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Socket wrenches are on sale at 30% off the listed price is $45,what is the final cost
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 45}}{\left( \cfrac{30}{100} \right)45}\implies 13.5~\hfill \underset{final~cost}{\stackrel{45~~ - ~~13.5}{31.5}}[/tex]
Find the value of (1/2)^3 A. 1/6 B. 3/6 C. 1/8 D. 1/2
Answer:
I think it's letter C.
Step-by-step explanation:
not sure correct me if I'm wrong.
We are going to multiply the fraction 1/2, to the power of 3.
This means that:
1 will be multiplied 3 times.2 will multiply 3 timesTherefore:
[tex]\bf{\left(\dfrac{1}{2}\right)^{3}=\dfrac{1\times1\times1}{2\times2\times2}=\dfrac{1}{8} }[/tex]
Therefore, the answer of the fraction (1/2)^3, is equal to 1/8.
The correct option is C.[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Which function is represented by the graph?
Answer:
D. f(x) = -|x+4| +3
The graph is flipped over the x-axis (facing down) so there's a negative sign in front of the function. It's shifted to the left 4 units so it'll be |x+4|. Finally, it's shifted up 3 units so it'll be +3 outside of the absolute bracket.
NOTE: if there's a change to the x value then it's inside the bracket or parenthesis, if there's a change to the y value then it's outside of the bracket or parenthesis
What is the product?
(-2x-9y²)(-4x-3)
Answer:
8x^2 +6x +36xy^2+27y^2
Step-by-step explanation:
2x * 4x-2x*-3) -9y-^2(-4x)-9y^2(-3)
What is the value of x? Enter your answer in the box.
Answer:
x = 25
Step-by-step explanation:
the line QC is parallel to BR
Then
x/15 = 40/24
Then
24x = 40×15
Then
24x = 600
Then
x = 600/24
Then
x = 25
How many points marked on this graph are solutions?
Answer:
2 points are solutions
Step-by-step explanation:
A solution is a value that makes the equation true, meaning the points fall on the line. For example, the point (0,1) is on the line, which means that for the equation, when x=0, y=1. This also applies for a second point, which is about (-3.5,-1.5).
Hope this helps! :)
D^2=290^2+2030^2
How Do i simplify this
Answer:
Step-by-step explanation:
D²=290²+2030²
=290²+(290×7)²
=290²+290²×7²
=290²(1+7²)
=290²(1+49)
=290²×50
=290²×25×2
=290²×5²×2
D=290×5×√2
D=1450√2
write the function for the graph. a. f(x) = 4 • (12)x b. f(x) = 3 • (4)x c. f(x) = 4 • (3)x d. f(x) = 3 • (12)x
The function of the graph is y = 4(3)^x
How to determine the function of the graph?The graph is an exponential function with the following points
(x,y)= (0,4) and (1,12)
An exponential function is represented as:
y = ab^x
Substitute (0,4) in the equation
4 = a * b^0
a = 4
Substitute a = 4 in y = ab^x
y = 4b^x
Substitute (1,12) in the equation
12 = 4b^1
12 = 4b
Divide by 4
b = 3
Substitute b = 3 in y = 4b^x
y = 4(3)^x
Hence, the function of the graph is y = 4(3)^x
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y
101
9
8
7
CO
6
5
4
3
2
1
A
12 3 4 5
B
6 7 8
9
10
Describe fully the single
transformation that takes
shape A to shape B.
X
Answer:
dilation by a factor of -1/2 about the center (6, 5)
(x, y) ⇒ (9 -x/2, 7.5 -b/2)
Step-by-step explanation:
Figure B is half the size of Figure A. It has been rotated, and translated. The single transformation must have all of these effects.
__
rotationThe orientation of shape B is the same as that of shape A. The small extension from the rectangle still points counterclockwise relative to the figure's center. However, it points west instead of east, signifying a rotation of 180°. The same 180° rotation can be accomplished by a reflection across a point.
dilationShape B has half the dimensions of shape A. That means it has been dilated by a factor of 1/2. The reflection across a point can be accomplished by using a negative dilation factor.
centerThe center of the dilation must reside between the two figures in order for "reflection across a point" to be accomplished. Each point on figure A must be twice as far from that center as the corresponding point on figure B.
Corresponding points are (1, 1) on figure A, and (8.5, 7) on figure B. The center of dilation divides the line between these points into the ratio 2:1. That center can be found as ...
(a, b) = (2(8.5, 7) +(1, 1))/3 = (17+1, 14+1)/3 = (6, 5)
single transformationThe single transformation that maps figure A to figure B is ...
dilation by a factor of -1/2 about the center (6, 5)
(x, y) ⇒ (9 -x/2, 7.5 -b/2)
helppp me thank youu!
BRAINIEST GIVEN!!
Answer:
2?
Step-by-step explanation:
2 is the square root of 4 since 2×2=4
Answer:
2
4
Step-by-step explanation:
Because 2 × 2 = 4, we know that 2 is the square root of 4.
√4 = 2
Which number line represents the solution set for the inequality -4(x + 3) ≤-2-2x?
++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4
5 6 7
O
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1
2
3
4
6 7
ليا
نی
für
fe
LO
5
Answer:
x<_-5
Step-by-step explanation:
-4(x+3)<_-2-2x
-4x-12<_-2-2x
-4x+2x<_-2+12
-2x<_10
-2x/-2<_10/-2
x<_-5
Pls help with my math work
solve the system of equations y=5x-1 y=9x-9
Answer:
Look at the equations:
y
=
−
9
x
−
21
and
y
=
5
x
+
7
Because both equations equal (y), they both equal the same.
If an equations says "
y
=
−
9
x
−
21
" , that means we can replace (y) with
−
9
x
−
21
.
Therefore when i take the equation:
y
=
5
x
+
7
, we can replace (y) to get:
−
9
x
−
21
=
5
x
+
7
Now isolate (x):
−
9
x
−
21
=
5
x
+
7
⇔
−
21
=
14
x
+
7
⇔
−
28
=
14
x
⇔
x
=
−
2
Convert 2 1/8 into an improper fraction.
Answer:
17/8
Step-by-step explanation:
You must type 2* 8 and add 1. That makes 17/8
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to convert 2 1/8 into an improper fraction (a fraction whose numerator is greater than its denominator).
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Follow three easy steps! ^-^These are the steps:
Multiply the whole part (2) times the denominator (8). This gives us 16.Now, add the numerator, 1: 17. This is the numerator of the new fraction.Simplify if possible.However, we cannot simplify 17/8, so that's our answer.
Hope it helps you out! :D
Ask in comments if any queries arise.
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