Answer:
download a calculator
Step-by-step explanation:
1 + (1 – cos θ )(1 + cos θ )( csc2 θ )
the 2 is to the power
Answer:
answer = 2
Step-by-step explanation:
1 + (1 – cos θ )(1 + cos θ )( csc^2 θ )
1 + (1 - cosθ)(1 + cosθ)(csc^2θ)
1 + (1 - cos^2θ)(csc^2θ)
1 + (sin^2)(1/sin^2)
1 + sin^2/sin^2
1 + 1
2
Evaluate the expression when x = -6
Answer:
−39
Step-by-step explanation:
−6^2+5−6−2
=−36+5−6−2
=−31−6−2
=−37−2
=−39
Answer:
4
Step-by-step explanation:
(-6)^2 + 5(-6) -2
= 36 - 30 - 2
= 6 - 2
= 4
Is this the one you meant?
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
Answer:
0.9962
Step-by-step explanation:
The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.
Suppose X is a random variable that follows a normal distribution:
Then;
[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]
From the z tables;
P(X< 26) = 0.9962
Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.
Answer:
0.9962
Step-by-step explanation:
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
What proportion of average city temperatures are lower than that of Singapore?
Solution:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 20.66, σ = $2
For the average temperature of Singapore of 26°, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]
From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962
proteins are important to the body because they
Answer:
Proteins are important because it improves your immune system.
Step-by-step explanation:
It's a short answer, but I hope it helps loll.
Graph this system of equations on the coordinate plane
y= -3x+3
y= 1/2x -4
Answer:
see the figure
Step-by-step explanation:
see the figure
Answer:
(2,-3)
Step-by-step explanation:
Desmos graphing calculator
(a) the probability that a vampire bat would pick A (b) the probability that a vampire bat would pick C (c) the probability that a vampire bat would pick T
Answer:
See Explanation
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have that:
[tex]A = 71[/tex]
[tex]C = 121[/tex]
[tex]T = 66[/tex]
First, we calculate the total
[tex]Total = A + C + T[/tex]
[tex]Total = 71 + 121 + 66[/tex]
[tex]Total = 258[/tex]
Solving (a): Probability of A
This is calculated using:
[tex]Probability = \frac{A}{Total}[/tex]
[tex]Probability = \frac{71}{258}[/tex]
[tex]Probability = 0.275[/tex]
Solving (b): Probability of C
This is calculated using:
[tex]Probability = \frac{C}{Total}[/tex]
[tex]Probability = \frac{121}{258}[/tex]
[tex]Probability = 0.469[/tex]
Solving (b): Probability of T
This is calculated using:
[tex]Probability = \frac{T}{Total}[/tex]
[tex]Probability = \frac{66}{258}[/tex]
[tex]Probability = 0.256[/tex]
Raise to the power:
[tex](-2abx)^{4}[/tex]
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[tex]( { - 2abx})^{4} = ({ - 2})^{4} \times ( {a})^{4} \times ({b})^{4} \times ({x})^{4} = \\ [/tex]
[tex]16 {a}^{4} {b}^{4} {x}^{4} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. Billy incorrectly says that the speed of the car is 1/60 mile per hour. What is the speed of the car? What error might Billy have made?
Answer:
Step-by-step explanation:
Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]
From the graph attached,
A point (1, 60) lies on the line shown in graph.
At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]
[tex]=\frac{60-0}{1-0}[/tex]
= 60 miles per hour
But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.
So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.
(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])
Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11
Answer:
A
Step-by-step explanation:
Use the method of completing the square to express in vertex form.
Given
y = x² - 6x + 11
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 11 , then
y = (x - 3)² + 2 → A
Answer:A
Step-by-step explanation:
Simplify the expression
1/5v+3/10v
[tex]\frac15v+\frac3{10}v=\frac2{10}v+\frac3{10}v=\frac5{10}v=\frac12v[/tex]
HELP QUICK I NEED TO TURN IT IN IN 30 mins
(-2,4) ,(3,-6) point slope form
Write the slope intercept
Answer:
It would be 2x -5=y
Step-by-step explanation:
The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y
if the class sizes in a school vary from 22 to 30, what is the range?
Answer:
8 im pretty sure
Step-by-step explanation:
what is the following sum ?
help me I'll make brainiest
========================================
Explanation:
The ratio QR : RS : ST is equal to 1 : 4 : 5
This means we have the following three equations
QR = x RS = 4x ST = 5xFor some positive number x.
Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .
Along with those three equations, we'll also use QT = 40 as well.
Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .
QT = QR + RS + ST
40 = x+4x+5x
40 = 10x
10x = 40
x = 40/10
x = 4
So we know that
QR = x = 4
RS = 4x = 4*4 = 16
ST = 5x = 5*4 = 20
-----------
As a check,
QR + RS + ST = 4 + 16 + 20 = 40
which is the same as QT = 40
Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.
How many solutions does this system have?
y =-3x. -9x-4y=21
one
two
an infinite number
no solution
Answer:
one or seven READ DESCRIPTION
Step-by-step explanation:
y =-3x. -9x-4y=21
-9x+12x=21
3x=21
3*7=21
if you didn't mean to do a double negative then it would be one, but otherwise it's seven
Answer:
one
Step-by-step explanation:
right on edge
f(x) = 8x^2 + 8x - 12 in vertex form
Answer:
f(x) = (x + 4)² - 4
Step-by-step explanation:
Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:
f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²
Simplify:
f(x) = (x² + 8x + 16) + 12 - 16
Subtract to find the 'k' value:
f(x) = (x + 4)² - 4. This is the equation in vertex form.
Answer:
y=8x2+8x−12
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex (h,k).
(4,4)
what are the angle measures given the figure is a rhombus???
Answer:
∠ 1 = 136°
Step-by-step explanation:
The diagonals of a rhombus bisect the angles, thus other side of the diagonal to 22° is also 22°. Making the whole angle = 44°
Consecutive angles are supplementary, thus
∠ 1 + 44° = 180° ( subtract 44° from both sides )
∠ 1 = 136°
PLEASE ANSWER ASAP
what is the slope of any line that is parallel to the line y+3=5/7(×+2)?
A. 3
B. 5/7
C. 2
D. -5/7
B) 5/7
^That's the slope :)
What is the slope of the line on the graph?
Answer:
Step-by-step explanation:
Grace paid $54.40 for 8 outdoor pathway lights.
Travis paid $40.25 for 5 of the same lights at a different store.
Use the drop-down menus to explain who paid less per light. pls help me
What is the slope of the line that passes through (2,5) and (6, 7)?
Answer:
1/2
Step-by-step explanation:
Slope is the change in y over the change in x so:
(7 -5) /(6-2) = (2)/(4) = 1/2
A number is rounded to the nearest tenth and hundredth. What is the number that was rounded?
Number Rounded to Nearest Tenth Rounded to Nearest Hundredth
0.6 0.58
0.574
0.579
0.585
0.681
9514 1404 393
Answer:
0.579
Step-by-step explanation:
You can consider what the offered numbers are when they are rounded to hundredths:
0.574 ⇒ 0.57
0.579 ⇒ 0.58 . . . matches your requirement
0.585 ⇒ 0.59
0.681 ⇒ 0.68
The only number on the list that matches your rounding requirement is 0.579.
What is the zero of this radical function? x = -4 x = -2 x = 2 x = 4
Answer:
x = -4
Step-by-step explanation:
Answer: -4 is correct
Step-by-step explanation:
Which number is equivalent to the fraction ?
Answer:
15/7 = 2.14 or 2 1/7
Hope This Helps!
Answer:
2 1/7
Step-by-step explanation:
15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper
Henry wants to join a book-of-the-month club. The first club costs $40 to join and $10 per book. The second club costs $15 per book and has no fee to join. How many books would need to be purchased from each club for the clubs to cost the same?
Answer:
Step-by-step explanation:
For club 1 - 2 book
For club 2 - 4 books
Club 1 has a $40 fee + 2 books = $60 in total
Club 2 has a $0 fee + 4 book = $60 in total
I'm pretty sure I'm right
Answer:
There would have to be 2 books purchased from the first club. Then, there would have to be 4 books purchased from the second club.
Step-by-step explanation:
1st club. (cost of club) 40$ + (cost of 2 books) 20$ = 60$.
2nd club. (cost of books) 15$ x (how many books) 4 = 60$
What is the y intercept y=-4-3/2x
Answer:
should be -4
Step-by-step explanation:
I have a radius of 35ft, what is the diameter ?
I have a radius of 15 mm, what is the diameter ?
Answer:
r=35ft, d=70ft. when r=15 mm, d=30mm
Step-by-step explanation:
Radius is half of diameter
The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5
what is the fourth number?
Answer:
32.8
Step-by-step explanation:
The average is calculated as
average = [tex]\frac{sum}{count}[/tex]
let x be the fourth number, then
[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )
89.2 + x = 122 ( subtract 89.2 from both sides )
x = 32.8
Thus the fourth number is 32.8