Answer:
It is incorrect because 4+2.6=6.6
Answer:
You have to align the decimal points. Imagine 4 as 4.0 and add
4.0
+ 2.6
_____
6.6
if you misalign the decimal points then your answer is wrong.
If it was 4.001+2.6 you would still have to align like shown below
4.001
+2.6
_____
6.601
The decimal points have to be aligned.
If you commented the dropboxes I could help with them.
Hope this helps
Step-by-step explanation:
∫ ( cos^4(3x)) d x
Answer:
⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C
Step-by-step explanation:
∫ cos⁴(3x) dx
Use power reduction formula:
⅛ ∫ (3 + 4cos(6x) + cos(12x)) dx
⅜ ∫ dx + ½ ∫ cos(6x) dx + ⅛ ∫ cos(12x) dx
⅜ ∫ dx + ¹/₁₂ ∫ 6 cos(6x) dx + ¹/₉₆ ∫ 12 cos(12x) dx
⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C
Two datasets arranged in descending order are; {8, , 4,1} and {9, , 5,2}. If the medians of the two given datasets are equal, what is the value of ( − )2?
We have been given that two datasets arranged in descending order are: [tex]\{8, x, 4,1\}[/tex] and [tex]\{9, y, 5,2\}[/tex]. We are asked to find the value of [tex](y-x)^2[/tex], if the medians of the two given datasets are equal.
First of all, we will arrange our given data sets in ascending order.
[tex]\{1,4,x,8\}[/tex] and [tex]\{2,5,y,9\}[/tex]
Since our data sets have 4 data points, so median will be average of middle two terms.
[tex]\frac{4+x}{2}[/tex] and [tex]\frac{5+y}{2}[/tex]
Now we will equate both median as we are told that median of both data sets are equal.
[tex]\frac{5+y}{2}=\frac{4+x}{2}[/tex]
Cross multiply:
[tex]2(5+y)=2(4+x)[/tex]
Divide both sides by 2:
[tex]\frac{2(5+y)}{2}=\frac{2(4+x)}{2}[/tex]
[tex]5+y=4+x[/tex]
[tex]5-5+y-x=4-5+x-x[/tex]
[tex]y-x=-1[/tex]
Let us square both sides of our equation.
[tex](y-x)^2=(-1)^2[/tex]
[tex](y-x)^2=1[/tex]
Therefore, the value of [tex](y-x)^2[/tex] would be 1.
Plz help me find the area of this polygon
Answer:
It is 4
Step-by-step explanation: To find the area you multiply the numbers.
Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
Find the solution to the system of equations.
−2x+2y=−4
3x+3y=−18
Answer:
Step-by-step explanation:
-6x + 6y = -12
6x + 6y = -36
12y = -48
y = -4
3x - 12 = -18
3x = -6
x = -2
(-2, -4)
What is the equation of the line passing through the points two (2,-1) and (5,-10) in slope intercept form
Answer:
y=-3x+b
Step-by-step explanation:
Find slope
-1-(-10)/2-5
9/-3
-3 is slope
y=-3x+b
substitute (2,-1)
-1=6+b
b=-7
y=-3x-7
Which division expression is equivalent to 4 and one-third divided by Negative StartFraction 5 over 6 EndFraction? StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction) Negative StartFraction 5 over 6 EndFraction divided by StartFraction 13 over 3 EndFraction StartFraction 13 over 3 EndFraction divided by StartFraction 5 over 6 EndFraction Negative StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction)
Answer:
[tex]\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}[/tex]
Step-by-step explanation:
The first step is to convert the mixed number to an improper fraction.
[tex]\dfrac{4\frac{1}{3}}{\left(-\dfrac{5}{6}\right)}=\boxed{\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}}[/tex]
Answer:
it's a
Step-by-step explanation:it's what the guy above me said
A researcher conducts an independent-measures study examining the effectiveness of a group exercise program at an assisted living facility for elderly adults. One group of residents is selected to participate in the program, and a second group serves as a control. After 6 weeks, the researcher records a combined score measuring balance and strength for each individual. The data are as follows:
Control Exercise n = 10 n = 15 M = 12 M = 15.5 SS = 120.5 SS = 190.0
a. Does the exercise program have a significant effect? Use an alpha level of .05, two tails.
b. Compute Cohen�s d to measure the size of the treatment effect.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
Brainliest to whoever gets this CORRECT.
Answer:
yes
Step-by-step explanation:
yes
2x + 3y = 12
Complete the missing value in the solution to the equation.
,8)
749÷7 using partial quotients
Answer:107
Step-by-step explanation:
749 ➗ 7=107
What is true when you rent? A.you build equity in your house,B.you are responsible for any repairs,c. You pay fewer up front costs
Answer: C you pay fee fewer upfront cost
Step-by-step explanation:
angle relationships with parallel lines
Answer: 136°
Step-by-step explanation:
In this angle relationship, it is a supplementary angles. because the parallel lines are separated by a line, the 2 angles make 180°.
180°=44°+x°
x=136°
The hypotenuse of a 30°-60°-90° triangle measures 10 inches. Which could be the length of a leg of the triangle?
Answer:
6 and 8
Step-by-step explanation:
The hypotenuse of a 30°-60°-90° triangle measures 10 inches.
To find the length of one of the legs, we use the idea of Pythagorean Triples.
Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:
3, 4 and 55, 12 and 139, 40 and 41Note that in a Pythagorean Triple,
The longest length is always the Hypotenuse.New Triples can be formed from product of existing triples.In our given triangle, the Hypotenuse=10 Inches
Consider the Pythagorean Triple 3,4, and 5
5 is the HypotenuseMultiply the Triples by 2, we obtain:6, 8 and 10 (in which 10 is the hypotenuse)Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.
Hannah is setting up chairs for the class play. The room has 20 chairs. What are the different ways she can arrange the chairs in a rectangle?
Answer:
Have them 4 by 5.
Step-by-step explanation:
If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.
For example, (The "o" is a chair)
OOOOO
O
O
O
As you see the the top are the 5 chairs, then side are are the 4 chairs.
Then, you will do the exact same thing but on the opposite side.
Here is the next example.
OOOOOO
O O
O O
O O
OOOOOO
Basically, arranging the chairs 4x5, it would make a rectangle.
If a pair of standard dice are rolled,
what is the probability that at least
one die shows a 5?
?
Answer:
The correct answer is 11/36
Step-by-step explanation:
The probability that at least one die shows a '5' is 11/36.
What is the probability of an event?The probability of an event is the chance of happening that particular event.
Here, a pair of standard dice are rolled.
Therefore, the total number of combinations of two dice is = 6² = 36.
The case at which one die shows a '5' are: (1, 5); (2, 5); (3, 5); (4, 5); (5, 5); (6,5); (5, 1); (5, 2); (5, 3); (5, 4); (6, 5)
Therefore, the total number of cases at which one die shows a '5' is = 11.
Therefore, the required probability of the given event is
= 11/36
Learn more about the probability of an event here: https://brainly.com/question/9548010
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Graph the solution set for each given inequality
a. x > 7.75
b. x Underscore-< 5/2
I just want to see how to graph it. Sorry if that's too much to ask :P
Answer:
see the attachments
Step-by-step explanation:
An inequality without the "or equal to" case is graphed with an open circle at its boundary point. If the "or equal to" case is included, then the dot at the boundary is filled in (a solid dot). The number line is shaded to the left or right of the boundary point, depending on whether the set being graphed includes values less than or greater than the boundary value. Usually, a line extending indefinitely will have an arrow on its end. (Not here, because the program used doesn't easily support drawing arrows.)
__
a. The boundary point at x=7.75 has an open circle, and the shading of the number line extends indefinitely to the right from there.
__
b. The boundary point at x=2.5 is a solid dot, and the shading extends indefinitely to the left.
Which equation describes a line
that passes through (0, 3) and is
perpendicular to the line described
by y = -5x - 4?
Answer:
A line has equation y = ax + b, perpendicular to the line y = -5x - 4
=> a x (-5) = -1 => a = 1/5.
This line passes (0, 3) => (1/5)*0 + b = 3 => b = 3
=> Equation of this line: y = (1/5)x + 3
Hope this helps!
:)
The equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4 is y = x/5 + 3.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Given is a line that passes through (0, 3) and is perpendicular to the
line → y = - 5x - 4
Since the line is perpendicular to the line → y = - 5x - 4. We can write -
m[L] = -1/-5
m[L] = 1/5
Assume that the equation of the line is -
y = m[L]x + c
y = x/5 + c
Since the line passes through the point (0, 3), we can write -
3 = 0 + c
c = 3
The final equation of the line will be -
y = x/5 + 3
Therefore, the equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4 is y = x/5 + 3.
To solve more questions on Straight lines, visit the link below-
https://brainly.com/question/27730503
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Sara needs 3 cups of orange juice and 2 cups of pineapple for punch recipe. She only has a half cup measure. How many half cups of juice does she need?
Explain your thinking here:
write your answer here:
Answer:
10
Step-by-step explanation:
3+2 = 5
5x2 (Because only half cups)
= 10
What’s the correct answer for this?
Answer:
A.
Step-by-step explanation:
tan x= 6/8
usually tan θ = perpendicular / base
So,
we get perpendicular = 6, base = 8
Now using Pythagorean Theorem to find hypotenuse
hyp² = base² + Perp²
hyp² = 8² + 6²
hyp²= 64 + 36
hyp²=100
Taking sq root on both sides
hypotenuse = 10
Now
sin θ = Perpendicular / Hyp
sin x = 6 / 10
Now
cos θ = base / Hyp
cos x = 8 / 10
g(x) = 4x2 – 3x + 7
Find g(3)
Simplify your answer
Answer:
32
Step-by-step explanation:
g(x) = 4x² - 3x + 7
g(3) = 4(3)² - 3(3) + 7
g(3) = 4(9) - 9 + 7
g(3) = 36 - 9 + 7
g(3) = 25 + 7
g(3) = 32
the circumference of circle x in which a = 49pi in squared
Answer:
C = 14 pi inches
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
49 pi = pi r^2
Divide each side by pi
49 pi/pi = pi /pi r^2
49 = r^2
Take the square root of each side
7 = r
The circumference is given by
C = 2 * pi *r
C = 2 * pi *7
C = 14 pi inches
4 ÷ 1/5 = 20 because
Step-by-step explanation:
BECAUUUUSE ;
[tex]4 \div \frac{1}{5} = 20 \\ \frac{4}{1} \div \frac{1}{5} = 20 \\ \frac{4}{1} \times \frac{5}{1} = 20 \\ \frac{20}{1} = 20[/tex]
Answer:Because the divide sign change to multiplication sign, and when this happens denominator in the right hand side will become numerator,while the formal numerator will become denominator.
Step-by-step explanation:
4 ➗ 1/5
4 x 5/1=20
Viktor borrowed money from his father to buy a bike. He will repay him by making 4 equal payments of over $40. Which inequality represents the amount of money, m, Viktor borrowed from his father? m less-than 44 m greater-than 44 m less-than 160 m greater-than 160
Answer:
D
Step-by-step explanation:
Edu
What’s the correct answer for this? Select the ones that apply
Answer:
A: -2
B: -10
Step-by-step explanation:
A: the slope of line b is -2
B: Point: (-6,2)
So x= -6 and y = 2
Putting in slope intercept formula for finding b
y=mx+b
2=(-2)(-6)+b
2= 12 + b
b = 2-12
b= -10
The y-intercept of line b is -10
The article "Snow Cover and Temperature Relationships in North America and Eurasia"† used statistical techniques to relate the amount of snow cover on each continent to average continental temperature. Data presented there included the following ten observations on October snow cover for Eurasia during the years 1970-1979 (in million km2): 6.5 12.0 14.9 10.0 10.7 7.9 21.9 12.5 14.5 9.2 What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?
Answer:
Step-by-step explanation:
From the given information,
The ten observation data on october snow cover for Eurasia during the years is 6.5, 12.0, 14.9, 10.0, 10.7, 7.9, 21.9, 12.5, 14.5, 9.2
What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?
For the given data, 21.9 is an outlier, so trimmed mean would be good choice for the researcher,
Remove the smallest and the largest values to compute the trimmed mean
[tex]\bar x = \frac{12.0+14.9+10.0+10.7+7.9+12.5+14.5+9.2}{8} \\\\=\frac{91.7}{8} \\\\=11.465[/tex]
Someone please help me with math. Thank You
Answer:
4) 64 cubic inches
Step-by-step explanation:
8x8 = 64
I can't figure out 1/2 (10) (9.4 + 3.6)
Please show work
Answer:
65
Step-by-step explanation:
multiply 1/2 and 10 to get 10/2
10/2(9.4+3.6)
divide 10 by 2 to get 5
add 9.4 and 3.6 to get 13
5 X 13
multiply to get 65
if you had a sale price of $40 and the percent of your discounts 25% what was the original price.
Answer:
$ 50
Step-by-step explanation:
Original price = Sale price + discount
= 40 + 25% of 40
= 40 + 0.25 * 40
= 40 + 10
Original price = $50
I really just need a simple STEP-BY-STEP explanation on how you do percentages.
