Answer:
144 sq feet.
Step-by-step explanation:
A=B×H/2 2.5×4.8=12 12/2=6
24×6=144.
Write an equation of the trend line in slope intercept form
Answer:
the answer for this question you have id number 8
2i^20 + i^42
i^101 - i^2
Show Work
I assume you're talking about a fraction,
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²)
Remember that i ² = -1; from this it follows that
i ³ = i ² × i = -i
i ⁴ = i ³ × i = (-i ) × i = -i ² = -(-1) = 1
i ⁵ = i ⁴ × i = i
i ⁶ = i ⁵ × i = i ² = -1
and so on. In particular, raising i to some integer multiple of 4 reduces to 1.
Using the above pattern, we find
i ²⁰ = 1
i ⁴² = i ⁴⁰ × i ² = 1 × (-1) = -1
i ¹⁰¹ = i ¹⁰⁰ × i = 1 × i = i
So, we have
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = (2 - 1) / (i - (-1)) = 1 / (i + 1)
We can stop here, but usually it's more useful to have complex numbers written in standard a + bi form. To get this result, multiply the numerator and denominator by the complex conjugate of i + 1:
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = 1 / (i + 1) × (-i + 1) / (-i + 1)
… = (-i + 1) / (-i ² + 1²)
… = (-i + 1) / (-(-1) + 1)
… = (1 - i ) / 2
or equivalently,
… = 1/2 - 1/2 i
help vvvvvvvvvvvvvvvvvvv
Scott wants to make orange juice he is going buy boxes of oranges
PLEASE HELP
A circular hot tub has a diameter of 3 feet. What is the approximate
circumference of the hot tub?
9.42
15.70
18.84
25.12
Find the total surface area of the rectangular prism.
Answer:
Width=7.1
Height=3.2
length=2.8
Formula=2(wl+hl+hw)
2(7.1 x 2.8) + (3.2 x 2.8)+ (3.2 x 7.1)
= 103.12
Hope it helps
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Mrs. Datz had to make a visit to the bank because her account was overdrawn
by $32. After making a deposit of $100, Mrs. Datz was now happy that she had
some money. How much money did she have after making the deposit?
Answer:
The answer of this question is $68.
A pen stand costs ₹120. How many pen stand can be bought for ₹1440
1440 divided by 120 = 12 pen stands
hope it helps:))
Determine the are of the triangle
Answer:
25m
Step-by-step explanation:
The unit not to be used to find the triangle area is 25 because it is the hypotenuse and to find the area of a triangle you only need base and height. The base would be 24.6 and the height would be 7.3, which would both be needed in the equation.
A model car has a length of 7.25 inches. The actual car is 14.5 feet long. What is the scale of the model car?
Answer:
1:24
Step-by-step explanation:
Convert inches to feet, 7.25 inches is 0.604 feet.
0.604:14.5 needs to become 1:something, so set up 0.604/14.5 = 1/x
Solve for x now by dividing 14.5 by 0.604. You get 24 for x, so the answer is 1:24 scale!
Caroline owns 3 fewer T shirts than chase. Let k Represent the number of chase’s T shirt. What expression can be used? A. 3k B. 3-k C. K+3
D. K-3 Real quick please!
Answer:
D
Step-by-step explanation:
Hope this helps
find the length of the longest side in XYZ and find the perimeter . show work and don’t use me for points please
Answer:
Step-by-step explanation:
To find the perimeter of Δ XYZ when its longest side is 20, you can set up proportions to find the lengths of the sides, since the sides of similar triangles
Answer:
XZ = 6
Perimeter = 18
Step-by-step explanation:
8/4 = 12/XZ
8XZ = 48
XZ = 6
XY = 8
Perimeter = 18
(The two triangles are not to scale. The one on the right is drawn twice the size of the one on the left but actually is just half it's size.)
Also, the order of the letters in the congruency statement (triangle ABC is congruent to triangle XYZ) is important. If they had stated that triangle ABC is congruent to triangle ZYX, the relationship would not be 4/8 but 4/16. This would have resulted in entirely different answers. Instead of triangle XYZ being 1/2 the size of ABC, it would have been 1/4 it's size.
115
149°
What is the degree measure of v?.
A)
31°
B)
34°
58°
D)
749
If the sidewall of a cubic structure have length 7m , then find the total surface area.
is this jhit right?
Answer:
Surface area of the cube = 294 m²
Step-by-step explanation:
Sidewall of a cube measures in length = 7 m
Formula for the surface area of a cube = Sum of the areas of all six sides of the cube
= 6 × (Side)²
= 6 × (7)²
= 6 × 49
= 294 m²
Therefore, surface area of the cube is 294 m².
Can someone tell me what the coordinates are?
Answer:
(0, -4)
Step-by-step explanation:
Fill in the blanks to the picture above
Answer:
The answer is B, 6x^2 - 21x + 15
Step-by-step explanation:
= (3x + − 3) (2x + − 5)
= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)
= 6x^2 − 15x − 6x + 15
= 6x^2 − 21x + 15
- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.
What is the range of the function y= 5-2x when the domain is {0,1,2,3}
Answer:
The range for the function y=5-2x is all real numbers, but the numbers corresponding the the domain values of 0, 1, 2, and 3, are 5, 3, 1, -1.
Step-by-step explanation:
Fernando is 6 feet tall.if 1 inch is approximately 2.54 cm,what is fernandos height in cm.
Answer:
182.88cm
Step-by-step explanation:
i looked it up
Answer:
Step-by-step explanation:
Maybe try to multiply or divide.
GUYS PLEASE HELPP PLSPLSOLSOAKGDJXG
Answer:
Let S = starting point
Let ST = length of tunnel
SR = 1414 m
RT = 2236 m
Set up:
ST^2 + SR^2 = RT^2
ST^2 + (1414)^2 = (2236)
Solve for RT to find your answer.
Step-by-step explanation:
Solve the simultaneous equations
5x + y = 11
3x - y = 9
Answer:
Step-by-step explanation:
5x + y = 11 -------------------(I)
3x - y = 9 -----------------(II)
Add equation (I) & (II)
5x + y = 11
3x - y = 9 {add and y will be eliminated and we'll get the value of x}
8x = 20
x = 20/8
x = 2.5
Plugin x = 2.5 in equation (I)
5*2.5 + y = 11
12.5 + y = 11
y = 11 - 12.5
y = -1.5
After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
What are equations ?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
[tex]5x + y = 11[/tex] [tex].......... (i)[/tex]
[tex]3x - y = 9[/tex] [tex]...........(ii)[/tex]
To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],
[tex]15x + 3y = 33[/tex] [tex]..........(iii)[/tex]
[tex]15x -5y = 45[/tex] [tex]..........(iv)[/tex]
Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,
We get,
[tex]8y=-12[/tex]
[tex]y=-\frac{3}{2} =1.5[/tex]
Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,
[tex]5x+(\frac{-3}{2} )=11[/tex]
[tex]x=\frac{5}{2} =2.5[/tex]
So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
To know more about equations click here
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(Help please, Subject: Properties of exponents) Organisms A and B start out with the same population size.
Organism A's population doubles every day. After 5 days, the population stops
growing and a virus cuts it in half every day for 3 days.
Organism B's population grows at the same rate but is not infected with the virus.
After 8 days, how much larger is organism B's population than organism A's
population? Answer the questions td find out.
1. By what factor does organism A's population grow in the first five days? Express
your answer as an exponential expression.
Write your answer in the space below.
Answer:
1. 252N = ( x x )N
2. Factor =
Step-by-step explanation:
Let the starting population size for organisms A and B be represented by N.
For organism A;
Day 0: N
Day 1: 2N
Day 2: N
Day 3: N
Day 4: N
Day 5: N
Day 6: N
Day 7: N
Day 8: N
For organism B;
Day 0: N
Day 1: 2N
Day 2: N
Day 3: N
Day 4: N
Day 5: N
Day 6: N
Day 7: N
Day 8: N
1. After the eight days, organism B's population is larger than organism A's population by;
N - N = 256N - 4N
= 252N
= ( x x )N
2. Organism A's population grows by .
10x + 4x 3 – 4 Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
When you rotate 90 degrees counterclockwise the (y) becomes?
Answer:
Step-by-step explanation:
Rotations About The Origin
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
can someone help me? 8th grade math
9514 1404 393
Answer:
a. 5^-3
b. 14^18
c. 8^9
d. 16^3
e. 21^-18
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
a) 5^(3-6) = 5^-3
b) 14^(3·6) = 14^18
c) 8^(3+6) = 8^9
d) 16^(6-3) = 16^3
e) 21^(3(-6)) = 21^-18
10 cm 8 cm 14 cm 7 cm 6 cm 15 cm What is the total area of the figure ?
A 373cm2
B 338cm2
C 303cm2
D 268cm2
Answer:
please include an image for the question
Find the value of x.
A) 3 √3
B) 6 √3
C) 12 √3
D) 6
Answer:
x=6√3
Step-by-step explanation:
I hope this helps.
Answer:
use trigonometric ratios. I think you use tan whereby tan is opposite over adjacent. the opposite side is X and the adjacent side is 6 . we looking for X you gonna calculate
X=6tan60
=6√3
How do you find the base in the Pythagorean theorem, c=18, a=9, what is b?
Answer:
b = 15.59
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + b^2 = 18^2
81 + b^2 = 324
-81 -81
b^2 = 243
b = 15.59
Pythagorean Theorem -
[tex]a^{2} + b^{2} = c^{2} [/tex]
1 - Input the values!
[tex] 9^{2} + x^{2} = 18^{2} [/tex]
2. Find the exponents!
[tex]81 + x^{2} = 324[/tex]
3. Multi step Equations!
[tex]81 - 81 = 0 \\ 324 - 81 = 243[/tex]
4. Use square roots to find x!
[tex]x = \sqrt{243}[/tex]
Answer: X=The Square Root Of 243
In ΔPQR, r = 870 cm, p = 410 cm and ∠Q=142°. Find ∠R, to the nearest degree.
Answer: 26
Step-by-step explanation:
Pls answer it urgent pls I couldn't find answers for this anywhere Pls give answer with formulas and steps 4/9 ÷ -5/7
Answer:
-28/45
Step-by-step explanation:
Here, we want to find the result of a division
What we have to do here is to flip the fraction on the right hand side , then change the sign from division to multiplication
We have this as;
4/9 * -7/5
= -28/45
Which of the following conjectures is true for all cases about the lines in the image shown?