Answer:
16^25
Step-by-step explanation:
The applicable relation is ...
(a^b)^c = a^(bc)
2^100 = 16^x = (2^4)^x = 2^(4x)
Equating exponents, we have ...
100 = 4x
25 = x
Then 2^100 = 16^25.
A rectangle has a length of 72 cm and a width of 56 cm. A second rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answer:
192
Step-by-step explanation:
Well if the first rectangle is 72 and 56, then we can find the area of that by multiplying length times width which would be 4032, so that would be the area of the second one. then we divide 4032 by 21, which is 192.
P.S, This is my first question answered, so if im wrong please let me know, thank you!
Answer: 192
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, the length is 192 cm.
A new cell phone costs $108.99 in the store. What would your total cost be if the sales tax is 4.5%? Round your answer to the nearest cent, if necessary.
Answer: $113.89
Step-by-step explanation:
108.99 * 0.045
= 4.90455
108.99 + 4.90455
= 113.89455
$113.89
Answer:
Total Cost = $113.89
Step-by-step explanation:
Total Cost = Cell phone cost + sale Tax % ( cell phone cost)
Total Cost = $108. 99 + .045 × $108.99
Total Cost = $108.99 + $4.90455
Total Cost = $108.99 + $4.90
Total Cost = $113.89
-(b-z)-(-2b+z)-(-3b-z)
Step-by-step explanation:
4b + z I think lol I honestly looked it up
this cubiod is made from 6 small cubes write how many small cubes there are in this cubiod
Pleas help
Answer:
16 I guess.
Step-by-step explanation:
lolololololol?
Melanie read 52 pages in 1 hours. If she continues reading at the same rate, how
many pages will she read in an hour?
If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.
Answer:
52 pages
Step-by-step explanation:
Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.
52 pages times 1 hour equals 52 pages.
52 x 1 = 52
Xy3-9xyz2 is my math problem and I need help with the complete breakdown
(x • (y³)) - 32xyz²
Pull out like factors :
xy³ - 9xyz² = xy • (y² - 9z²)
Factoring: y² - 9z²
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : y² is the square of y¹
Check : z² is the square of z¹
Factorization is : (y + 3z) • (y - 3z)
Final result :
xy • (y + 3z) • (y - 3z)
Helpppppppppppppppppppppppp
[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]
If a slingshot is used to shoot a marble straight up into the air from 2 meters above the
ground with an initial velocity of 30 meters per second, for what values of time t will the
marble be over 35 meters above the ground? (Refer to Exercise 25 in Section 2.3 for assistance
if needed.) Round your answers to two decimal places
Answer:
use this equation: GPE=mgh
Step-by-step explanation:
GPE = gravitational potential energy = J
m = mass = Kg
g = gravitational field = N/kg = world's gravitational field is 9.8N/kg
h = height = m
PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula
Answer:
Your answer would be x=2±√5
Step-by-step explanation:
Study the visual fraction below.
Answer:
The answer would be D
Step-by-step explanation:
5 1/3 ÷ 2/3 = 8
16/3 ÷ 2/3 = 8
16 ÷2 = 8
Find the derivative of the function y = ln(3t+4)
Answer:
3 / (3t+4) is the answer
ill mark brainliest thanks
Answer:
x=10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
6x-7 = 26+2x+7
Combine like terms
6x-7 = 2x+33
Subtract 2x
6x-7-2x =2x+33-2x
4x-7 = 33
Add 7 to each isde
4x-7 +7 = 33+7
4x=40
Divide by 4
4x/4 = 40/4
x=10
How to determine the domain and range of a continuous graph
Answer:
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Solve ^3/x^2-8=2 pls help
Answer:
its the first one
Step-by-step explanation:
please answer fully ?/'//////////////////////
Answer:
17.5
Step-by-step explanation:
i solved it and got that answer. hope this helps =)
4. Simplify: -3(2x - 5)-2(4x+3)
A.14x-9
B.-2x+21
C.-14x+9
D.-14x+ 21
Can someone help me ?
The graph of the linear function is shown on the coordinate grid. What is the equation of this line?
solve pls brainliest
Answer:
40
Step-by-step explanation:
Multiply.
3 1/2 times 2 2/3
Answer:
Step-by-step explanation:
consider the graph of a linear equation. see below , which statement is true?
Answer:
B
Step-by-step explanation:
If you go to -4, 0 the line intersects that point
-4/5 divided by 1/3
Please asap
the straight up answer is -12/5
What the answer is please
Answer:its the first one
Step-by-step explanation:
becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.
Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.
How much does Evan's dog weigh?
Answer:
the answer is expkained below
Answer:
Evans dog would weigh 39 pounds
Step-by-step explanation:
117= 3 × X
Take 117 and divide it by 3 and the answer we would get is 39
117 ÷ 3 = 39
To double check the answer we could multiply 39 by 3 to see if we 117.
39 × 3 = 117
X= 39 pounds, so Evans dog is 39 pounds
Central/Inscribed angles w work pls i beg last one
=======================================================
Explanation:
Let point A be the center of the circle.
The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.
angle CAD = 2*(angle CED)
angle CAD = 2*(7x+6)
angle CAD = 14x+12
Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.
-----------
The three arc pieces CE, ED and CD all combine to form a 360 degree circle.
(arc CE) + (arc ED) + (arc CD) = 360
(18x+1) + (13x+1) + (14x+12) = 360
(18x+13x+14x) + (1+1+12) = 360
45x+14 = 360
45x = 360-14
45x = 346
x = 346/45
This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.
Find the gradient of the line segment between the points (4,-6) and (-6,-16).
Answer:
1
Step-by-step explanation:
gradient M= change in Y / change in X
= (-16--6)/(-6-4)
= -10/-10
M therefore= 1
What is the value of v?
By isosceles triangle theorem,
Angle ZXY = Angle ZYX
The sum of the angles in a triangle is 180 degrees.
106 + 2 same angles (-106) = 180 (-106) (Subtract 106 by both sides)
2 same angles (/ 2) = 74 (/ 2) (Divide 2 by both sides)
V = 37
Answer:
The value of v is 37°.
Step-by-step explanation:
Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:
Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,
∠ZXY + ∠ZYX + ∠XZY = 180°
v + v + 106° = 180°
2v + 106° = 180°
2v = 180° - 106°
2v = 74°
v = 74 ÷ 2
v = 37°
This circle is centered at the point (3,2) and the length of its radius is 5 what is the equation of the circle
Answer:(x-3)² + (y-2)² = 25
Step-by-step explanation:
A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².
So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.
Answer:
(x - 3)² + (y - 2)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Here (h, k ) = (3, 2 ) and r = 5 , then
(x - 3)² + (y - 2)² = 5² , that is
(x - 3)² + (y - 2)² = 25 ← equation of circle
Help help math please help help help help
Answer:
Answered is x= 55x
Step-by-step explanation:
13x+10 * 12x+20
soln:
or, 13x+12x+10+20
or, 25x+30
:., therefore, x=55x
Simplify.
5x+3(x+2)+3
A. 8x + 9
B. 5x + 8
C. 8x + 5
D. 6x + 8
Answer:
A- 8x+9
Step-by-step explanation:
------------------------------------------
5x + 3 (x + 2) + 3
5x + 3x + 6 + 3
8x + 6 + 3
8x + 9
<3
what is the greatest number of obtuse angles that a right triangle can contain
Step-by-step explanation:
i think this is the answer
Answer:
ZeroStep-by-step explanation:
Obtuse angle is the angle greater than 90°.
A right triangle has one 90° and the sum of remaining angles is 90°.
It means a right triangle can't have an obtuse angle.
