Answer: Choice C
The fraction 1/16
In other words the "StartFraction 1 Over 16 EndFraction"
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Work Shown:
[tex]\displaystyle L = \lim_{x \to -2}4^x\cos(\pi x)\\\\\\L = 4^{-2}\cos(\pi (-2))\\\\\\L = \frac{1}{4^2}\cos(-2\pi)\\\\\\L = \frac{1}{16}\cos(2\pi)\\\\\\L = \frac{1}{16}(1)\\\\\\L = \frac{1}{16}\\\\\\[/tex]
The limit of the function f(x)=[tex]4^{x}[/tex]cos(πx) is 1/16 which is start fraction 1 over 16 end fraction.
What is limit of function?The limit is the extent to which the value of function exists.
How to find limit of function?The function which is given is f(x)=[tex]4^{x}[/tex]cos(πx) and we have to find the limit of f(x).
L.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}cos([/tex]πx)
Put x=-2-h
[tex]\lim_{h \to \0} 4^{-2-h}cos([/tex]π(-2-h)
put h=0
=[tex]4^{-2} cos(2[/tex]π)
=[tex]4^{-2}*1[/tex] {cos(2π)=1}
=1/16
R.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}[/tex] cos(πx)
Put the value of x=-2+h
=[tex]\lim_{h \to \0}4^{-2+h}[/tex] cos{π(-2+h)}
Put the value of h=0
=[tex]4^{-2}*cos(2[/tex]π)
=1/16
L.H.L=R.H.L
Hence the limit of the function [tex]4^{x}cos([/tex]πx) is 1/16.
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Give me full working and explanation! And I give you stars and I mark you as brainliest for sure. Best deal here.
1st clock timing
1 : 152nd clock timing
2 : 003rd clock timing
3 : 304th clock timing
4 : 4530.
formula for discount: original price - final price
discount: $700 - $505.75 = $194.25In percentage:
[tex]\rightarrow \sf \dfrac{194.25}{700} *100[/tex]
[tex]\rightarrow \sf 27.75\%[/tex]
ii)
3($194.25) = $582.75 discount
In percentage: same. 27.75%
A 15ft ladder is leaning up against a wall. The top of the ladder makes a 12° with the wall, how far is the base of the ladder from the wall?
Step-by-step explanation:
[tex]the \: length \: of \: the \: ladder \: becomes \: the \: hypotenuse \: [/tex]
[tex]the \: base \: becomes \\ = \sin( \alpha ) \times hypotenuse \\ = \sin(12) \times 15 \\ = 3.119ft[/tex]
I need help solving this
Answer:
x = 46 :)
Step-by-step explanation:
First we subtract :)
180 - 88 = 92
Now we divide :)
92/2 = 46
Now you know how to solve this type of problem!!
Have an amazing day!!
Please rate and mark brainliest!!
If the point (-4,b) is on the line what is the value of b
Answer: if you are talking about a grid than the answer is 0.
Step-by-step explanation: this is becasuse the y coordinate is the elevation of the x coordinate. B is 0 because it is on the line meaning it has no elevation
find the value of a and b in parallelogram WXYZ
opposit side of parallelogram are equal and opposit angles are also equal
Class A has 25 pupils and class B has 28 pupils.
Both classes sit the same maths test.
The mean score for class A is 69.
The mean score for both classes is 41.
What is the mean score in the maths test for class B?
Please helppp
Answer:
I think it will be less than 69 because the tozal mean is 41 while of A is 69 mean the values has decreased
A traffic cone has a volume of 150 cubic inches. The height of the cone is 18 inches. What is the diameter of the traffic cone?
A.
3 inches
B.
5 inches
C.
10 inches
D.
50 inches
WILL GIVE BRAINLIEST!!
which ordered pair represents
(fg)(3) on the graph of the combined function?
A. (9,-3)
B. (3,25)
C. (3,5)
D. (9,25)
PLEASE HELPPPP WILL MARK BRAINLIEST
Answer:
2×5÷4=2.5
Step-by-step explanation:
2 boxes × 5 cards ÷ white cards
Find the 15th term of this arithmetic sequence for 20,26,32,38,44
Answer:
104
Step-by-step explanation:
There are two ways to do it, though we need to know how it is affected.
20+6=26
26+6=32
32+6=38
38+6=44
Thus, you are adding 6 for each term.
1. You do it manually...(yes.)
I'll number it one by one
1.20
2.26
3.32
4.38
5.44
6.50
7.56
8.62
9.68
10.74
11.80
12.86
13.92
14.98
15.104
The 15th term is 104.
2. This method is easier. As shown above, there is a pattern. We can apply it using this formula:
20+6(n-1)
You can get this formula from the facts that:
-you start off with an additional added 8
-you add 6 every time
-if we do it 6n then it would be incorrect, with an extra 6 for each
-the formula is correct; you can test it for terms 2,3,4,5 like this:
20+6=26
20+2x6=32
20+3x6=38
20+4x6=44
To find the 15th term, you can:
20+14x6=20+84=104.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
76 in²
Step-by-step explanation:
Area of the figure
Area (top rectangle) + 2 x Area (bottom rectangle)12 x (7 - 2) + 2 x 2 x 412 x 5 + 1660 + 1676 in²Please help guys love you
Answer:
1: Side-Side-Side theorem
2: Side-Angle-Side theorem
3: Angle-Side-Angle theorum
4: Side-Angle-Angle theorum
Step-by-step explanation:
Look at the order of the sides and/or angles of the triangles. Because both of the triangles have the same sides/angles based off either the side-side-side, side-angle-side, angle-side-angle, or side-angle-angle theorem, they are congruent.
Hope this helps! :)
Ali had 2600 pens, he gave away 1547 pens, how many pens does he have left now?
2600 pens.
to find:the remaining pens Ali have after giving 1547 away.
solution:2600 - 1547
= 1053
so, Ali has 1053 pens with him.
Ali has 2600 pens.
to find:the amount of pens Ali has left after he gave away 1547 pens.
solution:subtract 2600 from 1547.
[tex]2600 - 1547[/tex]
[tex] = 1053 \: pens[/tex]
hence, Ali has 1053 pens left with him after giving 1547 pens away.
A soda company made 1,040,000 bottles of soda. The manufacturer tested 200 bottles and found that 32 have cracks. About how many of the bottles that were manufactured are likely to have cracks?
WHich answer is correct
A. 32
B. 163
C. 166,368
D. 166,400
I don't know if this is correct but this is what I thought of:
Answer:
D 166,400
Step-by-step explanation:
200÷32 = 6.25
1040000 ÷ 6.25 = 166,400
Al vender una computadora, un vendedor descuenta el 15%, y aun así gana el 35%, del costo. ¿qué %del costo es el precio de venta?
Veremos que el precio de venta es el 158% del costo.
¿Que porcentaje del costo es el precio de venta?
Sabemos que con el descuento del 15%, el vendedor gana 35% del costo.
Es decir, si el costo es C, entonces el precio al que se vende la computadora es:
P' = (1 + 0.35)*C = 1.35*C
Pero, esto es con un 15% de descuento. Entonces si el precio de venta es P, tendremos:
P' = (1 - 0.15)*P = (0.85)*P
Reemplazando esto arriba tenemos:
(0.85)*P = 1.35*C
Resolviendo para P:
P = 1.35*C/0.85 = 1.58*C
Para obtener el porcentaje, multiplicamos el coeficiente por 100%.
1.58*100% = 158%.
Es decir, el precio de venta es el 158% del costo.
Sí quieres aprender más sobre porcentajes puedes leer:
https://brainly.com/question/843074
graph the linear equation. find three points that solve the equation, then plot them on the graph. 5x-4y=-18
Could someone help me
Answer:
D) 3^9
Step-by-step explanation:
3^4 3^8 / 3^3
3^4 / 3^3 = 3
= 3 * 3^8
= 3^9
Answer:
(x+2)(x+3)
√2x
3
−3
−4+i
Step-by-step explanation:
6. Hadila is 2 years younger than Kai Yee. Kai Yee's father's age is the square of Hadila's age. If Kai Yee is p years old, calculate the total age of the three of them. Express your answer in the form of algebraic expression.
ANSWER: p^2 - 2p + 2
Step-by-step explanation:
Total age of three = p + p-2 + (p-2)^2
= 2p-2 + p^2-4p+4
= p^2 - 2p + 2
maths i need help i cant find the ans
Answer:
16 and 25
Step-by-step explanation:
they are square numbers
1^2 = 1 .. etc.
this is a I
There is an error 2*2 is 4 lol realised I wrote tht whoops
A rectangular prism is 20 meters long, 13 meters wide, and 5 meters high. What is the surface area of the rectangular prism?
Answer:
850m^2
Step-by-step explanation:
Look at the formula SA=L*W*H. And plug in the numbers pertaining the question! hints on to what to add is stuff like "long" for length, "wide" for width, and "high" for height! And use a calculator, or scetch it out to find your total answer!
Hope this helps!
What is the value of b:
-8-b=-6
1) b=-2
2) b=2
Answer:
b = -2
Step-by-step explanation:
Add 8 to both sides: -8 - b + 8 = -6 + 8
-b = 2
Divide both sides by -1: -b/-1 = 2/-1
b = -2
Alberto’s monthly income is $3,200. Part of Alberto’s monthly budget is shown in the table.
Monthly Budget
Category Amount of Money
Rent $896
Groceries $384
Savings $165
Car payment $428
Utilities $120
What percentage of Alberto’s income is used to pay for his rent and groceries?
Using the percentage concept, it is found that 40% of Alberto’s income is used to pay for his rent and groceries.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem:
Alberto’s monthly income is $3,200, hence b = 3200.He spends 896 + 384 = $1280 in rent and groceries, hence a = 1280.Then, the percentage is given by:
[tex]P = \frac{1280}{3200} \times 100\% = 40\%[/tex]
More can be learned about the percentage concept at https://brainly.com/question/10491646
please help me with this slope intercept form
Answer:
5x+3=8
Step-by-step explanation:
this is the answer
A small bottle of shampoo can hold 35 milliliters of shampoo, whereas a large bottle can hold 500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy
Answer:
15
Step-by-step explanation:
500/35 approx 14.28
Always round up otherwise there won’t be enough
14.28 rounded up = 15
A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour. Which equation represents how many grams of the compound will remain after 8 hours?
A: C=260(1.038)^8C=260(1.038)^8
B: C=260(0.962)^8C=260(0.962)^8
C: C=260(0.038)^8C=260(0.038)^8
D: C=260(1-0.38)^8C=260(1−0.38)^8
The exponential equation that represents how many grams of the compound will remain after 8 hours is:
B: C=260(0.962)^8
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour, hence the equation for the mass after t hours is given by:
[tex]A(t) = 260(1 - 0.038)^t[/tex]
[tex]A(t) = 260(0.962)^t[/tex]
After 8 hours, the amount is given by:
[tex]A(t) = 260(0.962)^8[/tex]
Hence option B is correct.
More can be learned about exponential equations at https://brainly.com/question/25537936
Can someone help me?
True or False. The volume formula for a general prism is dependent on the shape of the base.
answer: FALSE
Step-by-step explanation:
V=Bh
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .
Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already, and step by step, NO LINKS
Answer:
Graphed verison:
See screenshot below! :^)
Solution version:
[tex]x > \frac{5}{4}y+5[/tex]
Step-by-step explanation:
For graphed verison:
See screenshot below.
For solution version:
[tex]4x-5y > 20[/tex]
Step 1: Add 5y on each side:
[tex]4x-5y+5y > 20+5y[/tex]
[tex]= 4x > 5y+20[/tex]
Step 2: Divide both sides by 4:
[tex]\frac{4x}{4} > \frac{5y+20}{4}[/tex]
[tex]= x > \frac{5}{4}y + 5[/tex]
Therefore, your answer is [tex]x > \frac{5}{4}y + 5.[/tex]
Hope this helped! :^)
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- ✨7272033Alt✨
Submitted on 4/15/2022 at 10:43 PM
(To avoid plagarism, by users whom decide to copy.)
state how the graph will change
The box plots summarize the attendance for the spring musical and fall musical. Each musical was performed for six evenings. Which statement best describes the data represented in the box plots? (6.13A)
Answer:
B
Step-by-step explanation:
The 1st quartile is 135. The 3rd quartile is 195. To find the interquartile, you would subtract the 3rd quartile from the 1st quartile. 195-135=60. The interquartile range for the spring musical is 60
2 m
6 m
Volume = Base x height
Find the volume of this cylinder.
