Answer:
[tex] _{ - \pi} \int ^{\pi} \cos(2(5x) dx = _{ - \pi} \int ^{\pi} \cos(10x) dx \\ let \: 10x \: be \: u \\ \frac{d(10x)}{dx} = du \\ dx = \frac{du}{10} \\ignore \: limits \\ _{ - \pi} \int ^{\pi} \cos(2(5x) dx = \int \cos(u) \frac{du}{10} \\ = \frac{1}{10} \sin(u) + c \\ substitute \: for \: u \\ = \frac{1}{10} \sin(10x) |^{\pi} _{ - \pi} \\ = \frac{1}{10} (( \sin(10\pi) - ( \sin( -10 \pi) ) \\ [/tex]
what is tbe percentage
Answer:
5/33
Step-by-step explanation:
Probability=10/66
P=5/33
Answer:
5/33
Step-by-step explanation:
The number of typing errors made by a typist has a Poisson distribution with an average of five errors per page. If more than five errors appear on a given page, the typist must retype the whole page. What is the probability that a randomly selected page does not need to be retyped
Answer:
0.61596
Step-by-step explanation:
Given that:
λ = 5 (5 errors per page)
Poisson distribution formula :
P(x = x) = (λ^x * e^-λ) / x!
Probability that page does not need to be retyped means that error on page is less than or equal to 5
P(x ≤ 5) = p(x = 5) + p(x = 4) +... + p(x = 0)
The individual probabilities can be obtained using the formula above or the use of a calculator
P(x ≤ 5) = 0.17547 + 0.17547 + 0.14037 + 0.08422 + 0.03369 + 0.00674
P(x ≤ 5) = 0.61596
judy works 8 hours a day. she works 6 days a week. how many hours per week
Answer:
48 hours
Step-by-step explanation:
8 x 6 = 48
Answer:
she works 48 per week
Step-by-step explanation:
8*6=48
If (4,y) is a solution to x-2y = 6, what is the value of y?
Answer:
(4, -1)
Step-by-step explanation:
(4, y) is a solution to x - 2y = 6.
Find the value of y:
[tex]4-2y=6\\\\4-4-2y=6-4\\\\-2y=2\\\\\frac{-2y=2}{-2}\\\\\boxed{y=-1}[/tex]
The value of y is '-1'.
(4, -1) is a solution to the equation.
Hope this helps.
ASAP (WILL MARK BRAINLIST) THANK YOU
Can someone please help me
Answer:
3/4
Step-by-step explanation:
While your image is blurry so it hard to, we know to find a slope we do rise (up)/run(Left) at section where they cross the dot. So i did this
Solve the equation 5x-8=57
Answer:
X = 13
1. Add 8 to both sides of the equation
5
find the pattern 1,3,1,9,27,1
Answer:
add 2 subtract 2 add 8 multiply by 3 divide by 27
9 9/10 + 9 1/8 - 12.85 =?
Evaluate the expression as a fraction.
6.175=247/40 simplified is 6 7/40
What is the domain of f(x) = 5^x - 7?
A.) {x| x > -7}
B.) {x| x < -7}
C.) {x| x > 0}
D.) {x| x is a real number}
Answer:
D
Step-by-step explanation:
I think the intervals can pretty much be infinite.
Barbara ordered a set of beads. Of the beads she received, 12 were red and 28 were a different color. What percentage of the beads were red?
Answer:
the answer is 3.36 please mark brainliest
Step-by-step explanation:
b) Find the value of 3^-3 x 10
Answer:
-270
Step-by-step explanation:
= 3^-3 × 10
= -27× 10
= -270
write each ratio in simplest form
50 to 4 =
Answer:
50:4
Step-by-step explanation:
A living room wall is 13 feet long. How far from the corner would you have to the edge of a 3ft 6in shelf for it to be centered on the wall?
Answer:
You start the shelf 4 ft. 9 in. from the wall.
Step-by-step explanation:
The game plan is to take the length of the shelf away from the length of the wall, and then divide the remaining part into two equal pieces.
13 ft.
- 3 ft. 6 in.
12 ft 12 in,
- 3ft 6 in
9 ft 6 in.
9 ft. 6 inches divided by 2 equals 4.5 ft, 3 in.
.5 ft * 12 inches = 6 inches
You start the shelf 4 ft. 9 in. from the wall.
The length from the corner for the edge of a 3ft 6in shelf for it to be centered on the wall is A = 4.75 feet = 4 feet 9 inches
What is the diagonal of a rectangle?The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
To center a shelf on a 13-foot long wall, we need to find the midpoint of the wall, and then subtract half the length of the shelf to determine the position of the shelf's edge.
First, we need to convert 3 feet 6 inches to feet. There are 12 inches in a foot, so:
3 feet 6 inches = 3 + 6/12 = 3.5 feet
Now , the diagonal of the rectangular shelf is
The midpoint of the wall is half of 13 feet, which is:
13 / 2 = 6.5 feet
To find the distance from the corner to the edge of the shelf, we need to subtract half the length of the shelf from the midpoint of the wall:
6.5 feet - 1.75 feet = 4.75 feet
Hence , the shelf should be placed 4.75 feet from the corner to be centered on the 13-foot long wall.
To learn more about diagonal of a rectangle click :
https://brainly.com/question/13583275
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In ARST, mZR = (6x + 10)°, mZS = (2x + 5)°, and
m_T = (3x – 11)'. Find m R.
Answer:
Submit Answer
Answer:
∠R = 106°
Step-by-step explanation:
Given that,
In ΔRST, ∠R = (6x + 10)°, ∠S = (2x + 5)°, and ∠T = (3x – 11)°.
We need to find ∠R.
We know that, the sum of angles of a triangle is equal to 180°.
ATQ,
(6x + 10) + (2x + 5) + (3x – 11) = 180
Taking like terms,
6x+2x+3x = 180-10-5+11
11x = 176
x = 16
So,
∠R = (6x + 10) = 6(16) + 10
= 106°
Hence, ∠R = 106°
give the slope of a line parallel to the given.
Answer:
1/2
Step-by-step explanation:
2x - 4y = 12
-4y = -2x + 12
-4y/-4 = -2x/-4 + 12/-4
y = 1/2x - 3
help me please i wish i can get somehelp
Answer:
29. [tex]\frac{1}{3}[/tex]
30. a) 32
b) Yes, the ratio will change 1 : 2.
Step-by-step explanation:
Question 29.
Given that:
Number of gold medals won by France = 11
Number of silver medals won by France = 9
Number of bronze medals won by France = 13
To find:
The ratio of gold medals won to the total number of medals won by France.
Solution:
First of all, we need to find the total number of medals won by France.
Total number of medals won = 11 + 9 + 13 = 33
The required ratio can be found as:
[tex]\dfrac{\text{Number of gold medals won}}{\text{Total number of medals won}}\\\Rightarrow \dfrac{11}{33}\\\Rightarrow \bold{\dfrac{1}{3}}[/tex]
Question 30:
Number of girls = 20
Ratio of boys to Ratio of girls = 3 : 5
a. Total number of students in the class?
First of all, we need to find the number of boys in the class then we will add the value to the number of girls to get the answer.
Let the number of boys = [tex]x[/tex]
As per the ratio, we can write:
[tex]\dfrac{3}{5 } = \dfrac{x}{20}\\\Rightarrow x = 12[/tex]
Total number of students = 20 + 12 = 32
b. Four number of boys and four girls are moved to other class.
Number of boys left = 12 - 4 = 8
Number of girls left = 20 - 4 = 16
New ratio = 8 : 16 = 1 : 2
Therefore, the ratio got changed to 1 : 2.
Is this a
function?
Why or why not
Please help me with math!
Answer:
if
c=(1,8)
and
y=(-3x + 1)
then
y=(-3 x 1 + 1)
=( -3 +1)
= -2
PLEASE HELP ASAP!!!!!!!!!!!
APPRECIATED
Answer:
6
Step-by-step explanation:
the perimeter of a parallelogram ABCD is 78cm. AD is 3cm more than twice AB. Find the length of all four sides of ABCD
Answer:
AB=12 AD= 27
Step-by-step explanation:
Solve 1/2n +3 < 5. Which graph shows the solutions
Answer:
last one
hope it helps..
Does this system have NO SOLUTION or INFINITE SOLUTIONS? y = 2/3 x + 2 and -2x + 3y = 6
Answer:
yes
Step-by-step explanation:
hdghbjfbfcuvf ug iifibibibibcrtctcitbiutbuhucihihtv
Which model shows a ratio of 1 white to 2 blue?
Is 1 Greater then -4
Answer:
Yes 1 is greater than -4
Step-by-step explanation:
I GIVE BRAINNLILSTTTT
Answer: Its an enlargement
Enlargement - Getting bigger
Reduction - getting smaller
Pls help this is due by midnight
Answer:
Cost of four DVD= 36.7, but due to 25% discount it cost 27.57. Then add 7.75 taxes and he payed 29.71. Answer is 29.71
Step-by-step explanation:
Answer:
$27.71
Step-by-step explanation:
Price of 1 DVD: $9.19
Price of 4 DVDs: 4 * $9.19 = $36.76
Discount: 25%
Now we find 25% of $36.76.
25% of $36.76 =
= 0.25 * $36.76
= $9.19
The 25% discount amounts to $9.19. We now subtract $9.19 from $36.76 to find the discounted price.
$36.76 - $9.19 = $27.57
Now we need to apply the 7.75% tax to $27.57.
7.75% of $27.57 =
= 0.0775 * $27.57
= $2.14
The sales tax is $2.14.
Now we add the sales tax amount to the total discounted price.
$27.57 + $2.14 = $29.71
Answer: $27.71
Mathematics question
Answer:
8
Step-by-step explanation:
MP=16
NP = 14
So that means N is farther to O by 2 units
So: 10-2 = 8
How many and what type of solutions does the equation have?
a2−2a+5=0
two rational solutions
one rational soultion
two nonreal solutions
two irrational solutions
Answer:
The equation has one rational solution.
Step-by-step explanation:
You can automatically exclude nonreal and irrational solutions because the answer to this equation is a rational number. Once the equation is solved, you will find that there is only one answer.
What is the ratio for Cos C?
Answer:
[tex] Cos(C) = \frac{40}{41} [/tex]
Step-by-step explanation:
Ratio of Cos C using the trigonometric ratios formula, would be:
[tex] Cos(C) = \frac{adjacent}{hypotenuse} [/tex]
Adjacent = BC = 40
Hypotenuse = AC = 41
Plug in the values
[tex] Cos(C) = \frac{40}{41} [/tex]