Answer: Choice C
The fraction 1/16
In other words the "StartFraction 1 Over 16 EndFraction"
=============================================================
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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A bag contains 24 ounces of soil. You use 2 7/8 ounces of soil to plant 1 herb.Is there enough soil in the bad to plant 8 herbs?
Answer:
Yes
Step-by-step explanation:
2 7/8x8=23
So you would have enough and one oz left over.
Find the volume of the following. Show your work
Answer:
the #1 one is about 307.88 & the #2 on is 100.53
Step-by-step explanation:
Answer:
308 in³, 101 in³ (from left to right)
Step-by-step explanation:
Volume of cylinder= πr²h, where r is the radius and h is the height.
Cylinder on left
radius= 7 in
height= 2 in
Volume
= π(7²)(2)
= 98π
= 308 in³ (3 s.f.)
Cylinder of right
radius= 4 in
height= 2 in
Volume
= π(4²)(2)
= 32π
= 101 in³ (3 s.f.)
What do you mean by logarithm???
sam..
Answer:
a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Step-by-step explanation:
hope it helps you<3Hey ojaswii!
Answer:
Logarithm is an exponent or index.
Step-by-step explanation:
John napier invented Logarithm.There're 3 types of logs, however, there're 7 laws of logs.Amazing right?It is used for graphs also.Finally,The Formula...[tex] \boxed{\rm \: log_{l}(l {}^{a} ) = a}[/tex]
Note: This is just a random formula
I expect this helps :)
[tex]\quad{\qquad\qquad\qquad\qquad{\bf ...}}[/tex]
akdhdufn I l0ve math gisnf
I love it too man or girl (・∀・)
What type of number is -4/2
Answer:
It is a negative rational number. This is because it is an improper fraction that is equivalent to -2.
Step-by-step explanation:
I can’t do this rn does someone know what to do??
Answer:
see image
Step-by-step explanation:
See image. It all on the paper in the picture. Hope this helps! Please mark Brainliest if possible! tysm!
When sally went bowling her scores were 108,72, and 95 what score will she need to get an average of 91? PLS HELP!
Solve the equation in degrees for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures.
The equation is an illustration of trigonometry ratios, and the non-negative values of x are 30 and 270 degrees
How to solve the equation?The equation is given as:
2sin²(x) + sin(x) = 1
Let y = sin(x)
So, the equation becomes
2y² + y = 1
Rewrite as:
2y² + y - 1 = 0
Expand
2y² + 2y - y - 1 = 0
Factorize
2y(y + 1) - 1(y + 1) = 0
Expand
(2y - 1)(y + 1) = 0
Split
2y - 1 = 0 or y + 1 = 0
Solve for y
y = 0.5 or y = -1
Recall that: y = sin(x)
So, we have:
sin(x) = 0.5 and sin(x) = -1
Take the arcsin of both sides
x = sin⁻¹(0.5) and x = sin⁻¹(-1)
x = 30 degrees and x = 270
Hence, the non-negative values of x are 30 and 270 degrees
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Read more about sine ratios at:
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Find the measure of the angles.
3
62
mZ1 =
mZ2 =
Answer:
Step-by-step explanation:
The equation tan(30 degrees)=5/b can be used to find the length of AC.
What is the length of AC? Round to the nearest tenth.
Answer:
[tex]\huge\boxed{\sf b = 8.7 \ cm}[/tex]
Step-by-step explanation:
Given equation:
[tex]\displaystyle tan (30 \textdegree) = \frac{5}{b}[/tex]
We have to find b.
tan 30° = 0.6
[tex]\displaystyle 0.6 = \frac{5}{b} \\\\Multiply \ b \ to \ both \ sides \\\\0.6 \times b = 5 \\\\Divide \ 0.6 \ to \ both \ sides\\\\b = \frac{5}{0.6} \\\\b = 8.7 \ cm \\\\\rule[225]{225}{2}[/tex]
CAN SOMEONE HURRY AND DO THIS AND TY !!!!!
Answer:
8.324
Step-by-step explanation:
The 8 serves as the first digit and the "and " represents a decimal point the remaining numbers go behind that decimal point therefore 8.324.
What is the first step when rewriting y = 6x2 18x 14 in the form y = a(x – h)2 k? 16 must be factored from 18x 14 x must be factored from 6x2 18x 6 must be factored from 6x2 14 6 must be factored from 6x2 18x
The first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms
Writing an equation in vertex formThe standard vertx form of an expression is given as y = a(x – h)^2 + k
Given the quadratic expression given as:
y = 6x^2 + 18x+ 14
Before a quadratic equation can be transformed to its vertex form, the coefiicient of x^2 must be 1.
To do that, you will factor out 6 from the first two terms to have:
6(x^2 + 3x) + 14
Hence the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms
Learn more on vertex form here: https://brainly.com/question/525947
The first step is factoring out the 6 from the 6x2 + 18x.
I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.
What is his rate of commission?______% ( Round to the nearest tenth of a percent)
Answer:
its 10.5
Step-by-step explanation:
If you divide what alex earned by his total sales, you get 10.5%.
The radius of a circle can be found by dividing the circumference of the circle by 6. 28 What is the radius of a circle that has a circumference of 17. 27 feet
Answer:
2.75 feet
Step-by-step explanation:
I did the problem with the given instructions, but it really should be 2.74 feet. Instead of dividing the circumference by 6.28, you should divide the circumference by pi, then by two.
Hope this helps! :)
I need help for this question real quick. Please help if you can
Answer:
183.6 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area = Area of trapezium - area of parallelogram-area of semicircle
= [tex]\frac{1}{2}(a+b)h-b*h-\frac{\pi r^{2} }{2\\}[/tex]
=[tex]\frac{1}{2}(25+15)24-13*16-\frac{\pi (15/2)^{2} }{2\\}[/tex]
= 183.6 [tex]cm^{2}[/tex]
This figure represents the base of an fish tank that is 6 inches high.
What is the volume of the fish tank?
390 in³
330 in³
270 in³
240 in³
Image shows a polygon that looks like a rectangle with a triangle attach to the lower right side of it. The polygon has 5 sides. The left side is 5 inches tall. The bottom side is perpendicular to the left side and is 12 inches. The top is perpendicular to the left side also and is 7 inches tall. On the right side, a side is perpendicular to the top side and is 3 inches long. It looks like it stops almost midway on the right side. Then finally the last side attaches the 3 inches segment to the bottom side. This slant side is not labeled.
Answer:
The Answer Is 240in^3
Step-by-step explanation:
I Took The Test And Got It Right.
The Volume of the fish tank is 240 in³.
The correct option is (D).
What is the volume of plane shapes?The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.
Given:
The figure can be differentiated into two shapes;
A rectangleA triangleThe volume of the rectangle is known as:
= Length × Breadth
= 7 inches × 5 inches
= 35 inches²
The volume of the triangle is:
= 1/2 × base × height
= 1/2 × 2 × 5
= 5 inches²
The total volume of the base of the fish tank now is:
= 35 inches² + 5 inches²
= 40 inches²
Now, the volume of the fish tank is:
= Height × base of the fish tank
= 6 inches × 40 inches²
= 240 in³
Learn more about the volume of plane shapes here:
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f(x)=3x^2+x f(x)=3x 2 +x \text{Find }f(-5) Find f(−5)
So the equation given is: [tex]3x^2+x[/tex]
What do we find: f(-5)
To find f(-5), we must plug '-5' into the equation in place of the 'x'
[tex]f(-5) = 3(-5)^2+(-5) = 3 * 25 -5=75-5=70[/tex]
Answer: f(-5) = 70
Hope that helps!
Which of the following are examples of exponential decay? Select all that apply.
Math Nation
十
O
A vehicle depreciates 13% each year.
A tree is doubling in height each year.
D
An investment earns a 5% interest each year.
0
Air pressure decreases 12% for every 1000 meters in height.
O
The population of a town is growing at an annual rate of 3.5%.
0
A retirement account decreases by $12,000 each year.
A radioactive element has a decay rate of 10%.
–2} -(-5) = 0
-
Can someone please help me
(-2)-(-5)=0
bit 2 minuses= + so:
-2+5=0
3=0
Hey could you guys help me :)
I need help A.S.A.P
Answer:
ur mom
Step-by-step explanation:
Strat time 3:30 pm end time 7:00 pm what is the elapsed time.
Answer:
3 hrs. 30 mins.
Step-by-step explanation:
7:00 - 3:30
Which of the following are solutions to the equation below?
Check all that apply 25x(squared) - 16 = 0
[tex]~~25x^2-16=0\\\\\implies (5x)^2 -4^2 =0\\\\\implies (5x+4)(5x-4)=0\\\\\implies x = -\dfrac{4}5, ~~~x=\dfrac 45[/tex]
Hello everyone ! I need helps from you ! So , in class we do a control and I get 16 / 20. So I wants a pencentage ! Thanks vers much.
please help right now 40 POINTS
Answer:
I disagree a basketball player is not dependent on the on one event that Is an event does not affect another
what is the reciprocal of 0.4
0.4
to find:the reciprocal of 0.4.
solution:it'll be easier if you convert to fraction first, which gives you:
=2/5
then reciprocal:
=5/2
in decimal form= 2.5
Solve for x and y 6/y - 2/x = 5 2/y + 6/x =5
Answer:
I also searched it before.
Please help im new here! a library would like to see how many of its patrons would be interested in regularly checking out books from an enlarged print section. they randomly surveyed 200 patrons and 6 patrons responded that they would regularly check out books from an enlarged print section. if the library has a total of 3200 patrons, how many people can they expect to regularly check out books from an enlarged print section?
Answer:
96 people are expected
Step-by-step explanation:
Hello!
We can first convert the surveyed group results into a percentage.
So 3% of the sampled survey were interesetd. To find the actual expected number of patrons, we find 3% of 3200.
3% of 32000.03 * 32009696 people are expected.
Topics:
RatiosPercentage => Fraction => Decimal Key is attached
VI. Pretend that you are working for the tourist bureau for your city. Which measure of central tendency (mean, median, mode) would you use in advertising to attract tourists. Justify your answer.
The mean of the data set can be used because it is not easily affected by extreme values.
What is a measure of central tendency?A measure of central tendency is a measure that tries to describe an entire data set by using the central value of the data.
Mean is often used as a measure of central tendency when dealing with a large data such as tourism in the city because it is not easily affected by extreme values.
Learn more about mean: https://brainly.com/question/14882017
how do i find a,b and k?
Answer:
a = 1
b = 2
k = -2
Step-by-step explanation:
Given:
[tex]\displaystyle \large{y=k(x-a)^2(x-b)}[/tex]
First, find the a-value and b-value by observing the graph. Notice that once the graph hits x = 1, it just goes up or concave up - that indicates to be the double roots of function. Therefore:
Our a-value is 1
Second, find the b-value. Another x-intercept beside double roots x = 1 is x = 2 as shown in the graph. Therefore:
Our b-value is 2
Third, find the k-value. Right now we have the equation:
[tex]\displaystyle \large{y=k(x-1)^2(x-2)}[/tex]
To find the k-value, simply find a point’s value (x,y) to substitute. According to the graph, you can try substitute (0,4) in:
[tex]\displaystyle \large{4=k(0-1)^2(0-2)}\\\displaystyle \large{4=k(-1)^2(-2)}\\\displaystyle \large{4=k(1)(-2)}\\\displaystyle \large{4=-2k}\\\displaystyle \large{k=-2}[/tex]
Therefore, the value of k is -2
Evaluate the function it at x = -1 and x = 5.
P(x)=
x²+2 if x <4
2x+10 if x >4
Answer:
f(-1) = 3
f(5) = 20
Step-by-step explanation:
When evaluating a piecewise-defined function, the first step is to locate the argument value in the correct domain. Then the corresponding function is evaluated in the usual way.
__
For x=-1, the relevant piece is the one defined for x < 4:
f(x) = x² +2
f(-1) = (-1)² +2 = 3
__
For x=5, the relevant piece is the one defined for x > 4:
f(x) = 2x +10
f(5) = 2(5) +10 = 20
_____
Additional comment
The function written in this problem statement is "undefined" at x=4, so the graph would ordinarily show a "hole" there. We're not sure whether that is intentional.