Answer:
7, 10 and 13.
Step-by-step explanation:
If there are 3 means between 4 and 16 then:
16 is obtained by adding the common difference 4 times:
(16 - 4)/4 = 12/4 = 3 = common difference.
So the 3 arithmetic means are 4+3, 4 +2*3, 4 + 3(3)
That is 7, 10 and 13.
Emily is 41 years old. Colin is 10 years older than Emily. Dan is 15 years younger than Emily. What is the total of their combined ages?
Answer:
118
Step-by-step explanation:
E = 41
Colin is 10 years older than Emily. C = E + 10 = 41 + 10 = 51, C = 51
Dan is 15 years younger than Emily. D = E - 15 = 41 - 15 = 26, D = 26
E + C + D = 41 + 51 + 26 = 118
c2*sin(wt)+c1*cos(wt)= A*Sin(wt+phi), where c2=Acos(Phi) and c1=Asin(Phi). They ask me to find the amplitude of the function 2 sin(4pi*t)+5 cos(4pi*t), in terms of A sin(wt+phi). How do i do this?
The amplitude of [tex]A\sin(\omega t+\phi)[/tex] is the absolute value of [tex]A[/tex]. So first you need to condense the given function into one sine expression.
Recall that
[tex]A\sin(\omega t+\phi)=A\sin(\omega t)\cos\phi+A\cos(\omega t)\sin\phi[/tex]
so you need to choose [tex]\phi[/tex] and [tex]\omega[/tex] accordingly.
If we line up the terms of the given function with the expanded one above, we should have
[tex]2\sin(4\pi t)+5\cos(4\pi t)\implies\begin{cases}A\cos\phi=2\\A\sin\phi=5\\\omega=4\pi\end{cases}[/tex]
Now, using the Pythagorean identity,
[tex](A\sin\phi)^2+(A\cos\phi)^2=2^2+5^2\implies A^2=29\implies A=\pm\sqrt{29}[/tex]
so the amplitude is √29.
Just for completeness, we also get
[tex]\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)+n\pi[/tex]
where [tex]n[/tex] is any integer.
10. Determine whether y = 4x + 5 and y = 1/4x-2 are perpendicular.
In ▵PQR, PR is extended through point R to point S, m
Answer:
x = 10
Step-by-step explanation:
Here, we are tasked with calculating the value of x.
To do this, we need the picture of the wordings given in the question.
please check the attachment for a pictorial representation.
Now the theorem to use is that , the exterior angle of a triangle is equals the sum of the two opposite interior angle.
Thus, mathematically;
3x + 11 + 3x + 15 = 10x -14
6x + 26 = 10x -14
10x-6x = 26 + 14
4x = 40
x = 40/4
x = 10
PLEASE HELP HOMEWORK
Answer:
Option (1)
Step-by-step explanation:
As we know, sum of an infinite geometric series,
[tex]S=\frac{a}{1-r}[/tex]
Here a = first term of the series
and r = common ratio.
If |r| < 1 Series converges
If |r| ≥ 1 Series diverges
For Option (1),
S = 262 + 301.3 + 346.5.........
Common ratio = [tex]\frac{301.3}{4.2}[/tex] = 1.15
Since |r| = 1.15 > 1
Series will diverge
Option (2),
S = 4.2 + 3.57 + 3.0345..........
Common ratio = [tex]\frac{3.57}{4.2}[/tex] = 0.85
Since |r| < 1
Series will converge.
Option (3),
S = 6651 + 729 + 81........
Common ratio = [tex]\frac{729}{6651}[/tex] = 0.11
Since |r| < 1
Series will converge.
Option (4),
S = 100, 50, 25...........
Common ratio = [tex]\frac{50}{100}=\frac{1}{2}[/tex]
Since |r| < 1
Series will converge.
Option (1) will be the answer.
Select the correct answer. What is the domain of the function represented by this graph?
Answer:
Doman is the x intercpet range
Step-by-step explanation:
all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.
The Answer Is:
All Real Numbers
I need help with this problem... can someone help me ASAP please
Answer:
C. -2
Step-by-step explanation:
The slopes of parallel lines are always the same.
Solve (y/4) +3 = 7
a) y = 40
b) y = 1
c)y = 25
d) y = 16
(Y/4) +3 = 7
Subtract 3 from both sides:
Y/4 = 4
Multiply both sides by 4
Y = 16
Answer:
Option D
Step-by-step explanation:
=> (y/4)+3 = 7
Subtracting 3 from both sides
=> y/4 = 7-3
=> y/4 = 4
Multiplying 4 to both sides
=> y = 4*4
=> y = 16
pls answer. will mark as branliest
Answer: 135°
Step-by-step explanation:
First, let's find the sum of the interior angles of an octagon (8-sided polygon).
S = 180(n - 2) where n = 8
S = 180(8 - 2)
S = 180(6)
S = 1080
Next, to find ONE angle, divide the sum by the number of angles in the polygon (octagon has 8 angles)
I = S/n
I = 1080/8
I = 135
What is the domain of y = log: X?
all real numbers less than 0
O O O O
all real numbers greater than 0
all real numbers not equal to O
all real numbers
7
Answer:
all real numbers greater than 0
Step-by-step explanation:
The log function is only defined for positive numbers. The domain of ...
y = log(x)
is all real numbers greater than 0.
What is the quotient of 6 and Negative 1/2?
Answer:
6/1 x 1/2 = 6/2 = 3/1
6 x 1 = 6
1 x 2 = 2
= 6/2 = -3/1
hope this helps pls mark brainliest
QUICKKKKKK HELPPPPLines a and b are parallel and lines e and f are parallel. Vertical and parallel lines a and b are intersected by horizontal lines e and f. At the intersection of lines a and e, the top left angle is angle 1 and the top right angle is angle 2. At the intersection of lines b and e, the bottom left angle is angle 3. At the intersection of lines b and f, the uppercase right angle is angle 4 and the bottom left angle is angle 5. If m1 = 89°, what is m5? 1 89 91 179
Answer:
It is 91
Step-by-step explanation:
:)
Answer:
C: 91
Step-by-step explanation:
Unit test Edge 2021
a solid cuboid is made from centimeter cubes how many centimeter cubes were used to make the cuboid
This question is incomplete because it lacks the appropriate diagram.
Please find attached this answer the appropriate diagram.
Kindly note that: The diagram was obtained from or referenced from Planes and Elevation (F) Version 3 January 2016.
Answer:
72 centimeter cubes
Step-by-step explanation:
Looking at the attached diagram, we are given 3 views of the cuboid
a) The plan view: The is the view of the cuboid from the top or a very high position
b) Front Elevation view: This is the view of the cuboid from the front
c) Side elevation view: This is the view of the cuboid from the side.
In the referenced and attached diagram,
The plan view shows us the top of the cuboid with a length of 4 and breadth of 6
The front elevation view shows us the front of the cuboid with a length of 3 and breadth of 4
The side elevation view shows us the side of the cuboid with a length is 3 and breadth of 6
We are told to find the number of centimeter cubes were used to make the cuboid. This means we are to find the volume of the cuboid.
Volume of a cuboid = Length × Width × Height
Combining the 3 views together,
The Length of the cuboid = 4
Width of the cuboid = 6
Height of the cuboid = 3
Volume of the cuboid = 4 × 6 × 3
= 72
Therefore, the number of centimeter cubes that were used to make the cuboid is 72.
What is the decimal multiplier to decrease by 25%?
Answer:
0.75
Step-by-step explanation:
A decrease of 25% becomes 75% of the original number. 75% as a decimal is 0.75.
Answer:
0.75
Step-by-step explanation:
100(0.75)=75
Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is
Answer:
$10,400
Step-by-step explanation:
If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080
It also continues on for 5 years so 2,080*5=$10,400
Answer:
10833
Step-by-step explanation
Use the formula
Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]
a₁= 2000
r= 1+4%=1.04
n=5
plug back into equation
S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6
Rounded to the nearest dollar $10,833
First and best answer gets marked brainliest do it ASAP please
Step-by-step explanation:
Get the denominators by doing the LCM then divide the result by each denominator then multiply by the numerator
Answer:
1) y+x / xy
2) 7y+2x / 14xy
3) 3y-11x / 33xy
4) 33y+25x / 55xy
5) 10y-x / 22xy
6) 48y-5x / 15xy
Order
1 4
2 5
3 6
If x 3=-27, then what is x?
-3
3
9
Question #8MultipleChoice
Answer:
x=-9
Step-by-step explanation:
3 x=-27
x = -9
Answer:
-9
Step-by-step explanation:
x3 = -27 OR 3x = -27
3x/3 = -27/3
x = - 9
If h(x) = 5 + x and k(x)=1/x
which expression is equivalent to (k•h)(x)?
Answer:
(k•h)(x) is 5/x + 1
Step-by-step explanation:
(k•h)(x) is the product of the functions h(x) = 5 + x and k(x) = 1/x.
This product (k•h)(x) is 5/x + 1
Answer:
1/(5+×)
Step-by-step explanation:
The graph represents this system of equations. y equals 4 minus x. y equals y minus 2. A coordinate grid with 2 lines. The first line passes through (0, 4) and (3, 1). The second line passes through (0, negative 2) and (3, 1). What is the solution to the system of equations? A. (–2, 4) B. (1, 3) C. (2, 4) D. (3, 1)
Answer:
D
Step-by-step explanation:
From the graph, the lines intersect at (3, 1) so that is the answer.
Find the square root of 0.925 using long division method...
Answer:
0.96176920308
Step-by-step explanation:
i think so
what is the length of this line? khan academy - Distance between two points
Answer:
D = √[(x2 - x1)² + (y2 - y1)²]
Step-by-step explanation:
Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).
Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.
That is,
D² = (x2 - x1)² + (y2 - y1)²
Now, taking square roots of both side, we have the formula for the distance or length D.
D = √[(x2 - x1)² + (y2 - y1)²]
Which of the following factors of production is unlikely to be found in a
command economy?
A. Entrepreneurship
B. Land
C. Capital
D. Labor
Option (A) is correct
What are factors of production?
" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."
What are some examples of entrepreneurship as a factor of production?
An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.
So, option (A) is correct
more about factor of production
https://brainly.com/question/988852
#SPJ2
Answer: entrepreneurship
Step-by-step explanation:
just took the quiz
How can i Find the difference. in simplest form r/s - 9r/s
Answer:
simplest Form (fractions) A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.
Step-by-step explanation:
To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers). hope this helps you :)
Answer:
-8r/s
Step-by-step explanation:
r /s - 9r /s
The denominator is the same so subtract the numerators
r - 9r
-8r
Put this back over the denominator
-8r/s
the standard deviat
ion of the number 6,0,4,3and2is
Answer:
2
Step-by-step explanation:
First calculate the mean. This is done by adding the numbers and dividing by the count:
sum = 6+0+4+3+2 = 15
count = 5
mean = 15/5 = 3
Now create a table with the "squared deviation to the mean":
6: (6 - 3)² = 9
0: (0 - 3)² = 9
4: (4 - 3)² = 1
3: (3 - 3)² = 0
2: (2 - 3)² = 1
And sum these:
9+9+1+0+1 = 20
Divide by the count to find σ²:
σ² = 20/5 = 4
Hence σ = √4 = 2
Can someone answer this for me?
=============================================================
Work Shown:
Break the figure up as shown by the dashed lines. Think of cutting along those lines to form 3 separate figures. The trapezoid on the left has area
A = h*(b1+b2)/2
A = 5*(11+12)/2
A = 57.5
The rectangle in the middle has area
A = L*W
A = 12*15
A = 180
The trapezoid on the right has area
A = h*(b1+b2)/2
A = 10*(12+9)/2
A = 105
Overall, the entire figure has area of 57.5+180+105 = 342.5 square meters
1 can costs £6 and it covers 15 square meters. We need to cover 342.5 square meters
342.5/15 = 22.8333333333333 approximately
Round up to the nearest whole number to get 23
We need 23 cans to be able to paint 342.5 square meters or more
Note that 22 cans won't be enough because 22*15 = 330 is short of 342.5
While 23 cans is more than enough since 23*15 = 345. It's better to have leftovers than come up short.
Since each can costs £6 and we need 23 of them, the total cost would then come to 6*23 = 138 pounds
Answer:
The figure consists of two trapeziums and a rectangle
Area of figure = Area of rectangle + Area of the two trapeziums
Area of rectangle = length × width
= 12m × 15m = 180m²
Area of first trapezium = 1/2(a+b) × height
= 1/2(12+11)×5
= 57.5m²
Area of second trapezium = 1/2(a+b) × height
= 1/2(9+12)×10
= 105m²
Area of figure = 180 + 57.5 + 105 = 342.5m²
If 15m² = 6£
342.5 = 342.5/15 ×6
= £ 137
Hope this helps.
You are walking directly away from your house. You are 5 miles away from your house when you start walking, so you can determine your distance by adding 5 to the number of miles you have walked. In the equation below, X represents the number of miles you have walked, and Y represents your distance from home in miles.
Answer:
The independent variable is the number of miles you walked.
Unfortunately, I do not know the dependant variable.
Step-by-step explanation:
so do it urself. :)
what is the answer to: 3 x 4 + 15- 19 x2037? help
Answer: -38,686
Step-by-step explanation:
3 x 4= 12
-19 x 2037= -38,703
12 + 15= 17
17 -38,703= -38,686
IM STUCK ON THIS QUESTION! I NEED HELP PLEASE
Answer: A (first option): y-intercept = 9, zeros = {1, -1, 3, -3}
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis.
The zeros are the x-intercepts which is where the graph crosses the x-axis.
The graph touches the y-axis when y = 9
The graph touches the x-axis when x = -3, x = -1, x = 1, and x = 3
3 3/5 times (-8 1/3)
Answer:
-30
Step-by-step explanation:
3 3/5 × -8 1/3
Turn to improper fractions.
18/5 × -25/3
Multiply.
-450/15
Divide.
= -30
For what value of the variable: is the value of 9−y twice as much as the value of y?
Answer:
y = 3
Step-by-step explanation:
9 - y = 2y
+ y + y Add y to both sides
9 = 3y Divide both sides by 3
3 = y When y = 3, the value of 9 - y is twice the value of y.