The trigonometric function -cos(-x) will be not equal to cosx thus option (C) will be correct.
What is a trigonometric function?The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
It is known that, by cosine function property,
cos(-x) = cosx
So, -cos(-x) = -(cosx)
-(cosx) ≠ cosx
Hence "Cos(-x) will not equal cosx in the trigonometric function".
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In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes
An atom of gold has a mass of approximately 3.25 x 10-22 grams. What is the mass of
7000 atoms of gold? Express your answer in scientific notation.
If comparing x^2 to x^3, which value of x gives the greatest difference:x=6,x=8,x=10?
Answer:
the value of x that gives the greatest difference is 10.
Step-by-step explanation:
Given;
x² and x³
values of x = 6, 8 and 10
When x = 6
6³ - 6² = 216 - 36 = 180
When x = 8
8³ - 8² = 512 - 64 = 448
When x = 10
10³ - 10² = 1000 - 100 = 900
Therefore, the value of x that gives the greatest difference is 10.
11. Which of the following shows the first 5 terms in
the sequence defined by f(1) = -8, f(n) = 2f(n - 1)?
f. 2, -16, 128, -1024, 8192
h.2, -6, -14, -22,-30
g. -8, -16, -32, -64, -128
j. -8, -6, -4, -2,0
The figure shows a pentagon. The length of each side is given
as shown. Find the perimeter of the pentagon in terms of w.
Please help !!
Answer:
perimeter = sum of all side
perimeter in terms of w= w+w+w+w+w
i.e= 5w
PLEASE HELP!! 30 POINTS
Answer:
I think it is A I did the math but not all the way convinced
Step-by-step explanation:
Find the volume of the sphere. Radius is 1
Hi there!
[tex]\large\boxed{V = 4/3\pi \text{ or } \approx 4.19 \text{ } units^{3}}[/tex]
Find the volume of a sphere using the following equation:
V = 4/3πr³
Substitute in the given radius:
V = 4/3π(1)³
V = 4/3π or ≈ 4.19 units³
Answer:
32/3π on khan academy
Step-by-step explanation:
What is the solution to this system of equations? Show your work. 46 points
Answer:
The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.
Step-by-step explanation:
Isolate x for 12=1/3x: x=36
[y - 36=9]
the solutions to the system of equation is:
y=45 x=36
What is the value of X PLEASE HLEPPP
Answer:
Using the formula,(x= base×height).
And the formula, (6+6×).
The answer should be: (A) 12
Step-by-step explanation:
Hope this helps! Have a good day/or night!
P.S: Sorry if I'm wrong I tried my best. Best wishes!!! And here's some sparkles ✨ (◍•ᴗ•◍)✧*。!!!
When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each ads on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables Could you graph an equation containing more than four variables Explain. If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 19 What would happen to the graph it all the values were increased by 19 What would happen to the graph if all the y-values were multiplied by 2 or by 1129 Explain
Answer:
that sounds rlly confusing ngl hope u get it right
Step-by-step explanation:
For the following right triangle, find the side length x.
X
12
35
help pls
Answer:
the length of side X is 37
What is the quotient when (x+ 2) is divided into the polynomial 2x2 - 2x - 12?
O A. 2x-5 with no remainder
O B. X+ 3 with a remainder of -2
O C. 2x-3 with a remainder of 5
O D. 2x-6 with no remainder
Answer:
2x² - 2x - 12 ÷ (x+2)
= 2x - 6
D. 2x-6 with no remainder
The quotient when (x + 2) is divided into the polynomial 2x² - 2x - 12 is, (2x - 6) with no remainder.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
To find the quotient when (x + 2) is divided into the polynomial
2x² - 2x - 12.
Now,
The polynomial is,
⇒ 2x² - 2x - 12
⇒ 2 (x² - x - 6)
⇒ 2 (x² - 3x + 2x - 6)
⇒ 2 [ x (x - 3) + 2(x - 3) ]
⇒ 2 [ (x + 2) (x - 3) ]
Hence, We can divide polynomial by (x + 2) as;
⇒ 2 [ (x + 2) (x - 3) ] ÷ (x + 2)
⇒ 2 (x - 3)
⇒ 2x - 6
Therefore, the quotient when (x + 2) is divided into the polynomial
2x² - 2x - 12 is, (2x - 6) with no remainder.
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Add the product of 2 and 5 to the product of 9 and 8
Answer:
82
Step-by-step explanation:
2*5 + 9*8 = 10 + 72 = 82
Answer:
82
Step-by-step explanation:
product means multiply 2*5= 10 9*8= 72
10 + 72 = 82
Where is Point A located on the coordinate grid?
Answer:
Quadrant 11
Step-by-step explanation:
Quadrant 2 mark as brainllest
Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
I = $ 6.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 60 × 0.1 × 1 = 6
I = $ 6.00
The simple interest accumulated
on a principal of $ 60.00
at a rate of 10% per year
for 1 years is $ 6.00.
What is the product of (t – 4) (t? + 2t - 6)?
Answer:
Step-by-step explanation:
(t - 4) (t + 2t - 6)
= t2 + 2t2 - 6t - 4t - 6t + 24
= Solving like terms
= 3t2 - 16t + 24
Find the diameter and circumference of each circle given its radius of 4 cm. Use pi = 3.14 and round answers to the nearest tenth.
a seventh grade special education classroom consists of 14 girls and 16 boys. If 10 of the students are selected at random to help a fourth grade math class, determine the probability that all boys will be selected.
Answer:
8/30015 or .037%
Step-by-step explanation:
16/30 × 15/29 × 14/28 × 13/27 × 12/26 x 11/25 x 10/24 × 9/23 × 8/22 × 7/21
= 8/30015
help pls will give brainliest to correct answer
In the year 1986 reg Morris ate 30 hotdogs in 64 seconds how many seconds per hotdog is this
Answer:
Step-by-step explanation:
Time taken to eat 30 hot dogs = 64 seconds
Time taken to eat 1 hot hot dog = 64 ÷ 30
≈ 2 seconds
What is the slope of the equation c=2m+40
Answer:
Slope is m = 2
tep-by-step explanation:
Answer:
slope=2
Step-by-step explanation:
Jasmine and Olivia each have a bracelet collection.
The number of bracelets in Jasmines collection is represented by x.
The number of bracelets in Olivia's collection is 4 times the number in Jasmines collection
The total amount of bracelets in both collections is 45
What is x, the amount of bracelets in Jasmines collection?
Answer:
x = 11.25
Step-by-step explanation:
4x=45
divide 4 from both sides
4/4 x = 45/4
x= 11.25
Answer:
x= 11.25
Step-by-step explanation:
4x = 45
4 * 45/4= 45
45=45
PLS HELP
Rusty has a cap collection. He has 5 shelves with 7 football team caps on each shelf. He has 3 shelves with 13 baseball caps on each shelf. He gives his best friend 5 football caps and 2 baseball caps.
How many caps, c, does Rusty have now?
Rusty has a total of ___ caps.
Answer:
19
Step-by-step explanation:
If these numbers represent elevations in meters, which is the farthest away from sea level? Explain please I don't understand. (I've sorted them from least to greatest if that helps)
-12, -¾, -0.4, 0.4, ¾, 8
9514 1404 393
Answer:
-12 m
Step-by-step explanation:
The question is equivalent to asking which of these plotted on a number line is farthest from zero.
Since you have put them in order, you're aware the extremes are -12 and +8. -12 is 12 units from zero, but +8 is only 8 units from zero. An elevation of -12 m is farthest from sea level.
Brainlest and points !! Picture included
Pleaseeee helpp which one is it and whyyyy!!!!
Answer:
answer is A
Step-by-step explanation:
which models represent 1/4÷6 choose all correct answers
Answer:
[tex]\dfrac{1}{24}[/tex]
Step-by-step explanation:
We need to find the value of 1/4÷6.
It can be done as follows :
[tex]\dfrac{\dfrac{1}{4}}{6}[/tex]
We know that, [tex]\dfrac{\dfrac{1}{x}}{y}=\dfrac{1}{xy}[/tex]
We have, x = 4 and y = 6
So,
[tex]\dfrac{\dfrac{1}{4}}{6}=\dfrac{1}{4\times 6}\\\\=\dfrac{1}{24}[/tex]
So, the final answer is equal to [tex]\dfrac{1}{24}[/tex].
In AXYZ, ZX=13° and XY=63º. ZXWZ=90° and XY=690. Find the length of XW to
the nearest 10th.
A rectangle has an area of 198 square meters and a width of 9 meters.
What is the length of this rectangle?
Answer:
The length of the triangle is 22.
Step-by-step explanation:
Area = width*length
length = area/width = 198/9 = 22
Which expression is equivalent to -6(3 + 4x)?
Answer:
A
Step-by-step explanation:
may I have brainllest
Answer:
A
Step-by-step explanation: