Given:
[tex]m=0.56x-0.25[/tex]
[tex]n=0.20x-0.03[/tex]
To find:
The sum of m and n.
Solution:
We have,
[tex]m=0.56x-0.25[/tex]
[tex]n=0.20x-0.03[/tex]
The sum of m and n is:
[tex]m+n=(0.56x-0.25)+(0.20x-0.03)[/tex]
Combining the like terms, we get
[tex]m+n=(0.56x+0.20x)+(-0.25-0.03)[/tex]
[tex]m+n=(0.76x)+(-0.28)[/tex]
[tex]m+n=0.76x-0.28[/tex]
Therefore, the sum of m and n is [tex]m+n=0.76x-0.28[/tex].
Add the following numbers. (-4) + (-9) =
Answer:
-13
Step-by-step explanation:
Adding a negative means that you subtract the number as + (-) = -
This means that the equation is -4-9=-13.
Answer:
-13
Step-by-step explanation:
PLEASE HELP ME!! its a pretty easy question
Answer:
V= 936m³
Step-by-step explanation:
Formula:
Volume = L * W * H
Volume1= L * W * H
= 16 * 9 * 6
= 864m³
Volume2= L * W * H
= 6 * 2 * 6
= 72m³
Add both volumes to get total volume.
= 864m³ + 72m³ = 936m³
Hope this helps!
Have a nice dayy! :)
Write the equation of a line with the following slope and y-
intercept.
Slope= -3, y-intercept = 2
Y= -3x+2
Y= 2x-3
Y= -3x-2
Answer:
[tex]Y= -3x+2[/tex]
Step-by-step explanation:
Slope : [tex] - 3[/tex]
y-intercept = 2
Hope it is helpful...5. There is a circular field of area of approximately
500 m2. How can you find its area accurately by
using a measuring tape?
Step-by-step explanation:
It is known that area of a circular is calculated as follows.
[tex]Area = \pi \times r^{2}[/tex]
So, when a circular field of area of approximately 500 [tex]m^{2}[/tex] is there then diameter of the field is calculated using the measuring tape from one side of the circular tape to the other. Now, to calculate the radius it is required to divide the diameter by 2.
Hence, put these values into the above formula to find out the area. In this way we can find out the area of given circular field accurately by using a measuring tape.
The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the
measure of the smallest angle?
Answer:
Step-by-step explanation:
27 degrees
Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3
What is the length of segment BC?
Answer:
3
Step-by-step explanation:
A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3
[tex]9 \div 3 = 3[/tex]
The length of the segment BC or preimage of BC was 3 units.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.
From the graph diagram the length of segment B'C' is 9 units.
Therefore, Before the dilation, the length of the segment BC would be
(1/3)×9.
= 3 units.
learn more about transformations here :
https://brainly.com/question/11709244
#SPJ2
Given the general form of the sinusoidal function, y = AsinB(x - C) + D, match the following items.
Answer:
[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)
[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)
[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)
[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)
[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)
Step-by-step explanation:
The general form of a sinusoidal function is represented by the following characteristics:
[tex]y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o}[/tex] (1)
Where:
[tex]\Delta y[/tex] - Amplitude.
[tex]\omega[/tex] - Angular frequency.
[tex]x_{o}[/tex] - Phase shift.
[tex]y_{o}[/tex] - Vertical shift.
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
In addition, we know that the period associated with the sinusoidal function ([tex]T[/tex]) is:
[tex]T = \frac{2\pi}{\omega}[/tex]
By direct comparison, we get the following conclusions:
[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)
[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)
[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)
[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)
[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)
An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
error = 62-60 = 2°
% = (2×100)/60 = 100/30 = 10/3 = 3.333%
59.73 - 21.876
can u help me
Answer:
37.854
Step-by-step explanation:
59.73-21.876=37.854
Select the correct answer.
What is the solution for x in the equation?
-x + 3/7 = 2x - 25/7
Answer:
= 4/ 3
Step-by-step explanation:
-x+3/7=2x-25/7
We move all terms to the left:
-x+3/7-(2x-25/7)=0
We add all the numbers together, and all the variables
-x-(+2x-25/7)+3/7=0
We add all the numbers together, and all the variables
-1x-(+2x-25/7)+3/7=0
We get rid of parentheses
-1x-2x+25/7+3/7=0
We multiply all the terms by the denominator
-1x*7-2x*7+25+3=0
We add all the numbers together, and all the variables
-1x*7-2x*7+28=0
Wy multiply elements
-7x-14x+28=0
We add all the numbers together, and all the variables
-21x+28=0
We move all terms containing x to the left, all other terms to the right
-21x=-28
x=-28/-21
x=1+1/3
Answer:
x = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Given
- x + [tex]\frac{3}{7}[/tex] = 2x - [tex]\frac{25}{7}[/tex] ( multiply through by 7 to clear the fractions )
- 7x + 3 = 14x - 25 ( subtract 14x from both sides )
- 21x + 3 = - 25 ( subtract 3 from both sides )
- 21x = - 28 ( divide both sides by - 21 )
x = [tex]\frac{-28}{-21}[/tex] = [tex]\frac{4}{3}[/tex]
18⅔ ÷ ⅔
how many children are there?
25 points please explain it to me add the answer and the work since I’m so confused on when to subtract missing lengths where and when
9514 1404 393
Answer:
it depends on what the question is (no question is given)
Step-by-step explanation:
What you add or subtract will depend on the problem you're trying to solve, and how you're trying to solve it.
Perimeter
The two left-side vertical segments are 13 and 3. The right-side vertical segment is 16. As you can see, these have the same total: 16.
The top horizontal segment has a length of 21. The two bottom horizontal segments have lengths 16 and 5, for a total of 21—the same as the top segment.
For simple L-shaped figures like this, the overall horizontal lengths and the overall vertical lengths are the same as they would be for a rectangle that is 21 wide and 16 high.
P = 2(L+W) = 2(21+16) = 2(37) = 74 units
__
Area
The dashed lines divide this figure into 3 rectangles.
left side: 16 wide by 13 high
upper right: 5 wide by 13 high
lower right: 5 wide by 3 high
You can see that the vertical measures must "add up", as must the horizontal measures. This fact helps you determine the lengths of the unmarked sides.
You can compute the area from the three rectangles identified above, or any of several other ways. One of my favorite is to compute the overall area of the 21 wide by 16 high rectangle, then subtract the 16 wide by 3 high white space at lower left.
area = 21·16 -16·3 = 16·(21 -3) = 16·18 = 288 . . . . square units
Adding the 3 rectangles identified above gives ...
16·13 +5·13 +5·3 = 208 +65 +15 = 288 . . . . same area
Find one value of x that is a solution to the equation:
(x^2+4)^2 – 11(x^2+4) + 24 = 0
Answer:
x = ±2
x = ±i
Step-by-step explanation:
(x^2+4)^2 – 11(x^2+4) + 24 = 0
Let m = x^2 +4
(m)^2 – 11(m) + 24 = 0
Solving this quadratic
What two numbers multiply to 24 and add to -11
-8*-3 =24
-8-3 = -11
(m-8)(m-3) =0
m = 8 m=3
Now substitute back
x^2 +4 = 8 x^2 +4 = 3
x^2 +4-4 = 8-4 x^2+4-4 = 3-4
x^2 = 4 x^2 = -1
Taking the square root
sqrt(x^2) = sqrt(4) sqrt(x^2) = sqrt(-1)
x = ±2 x = ±i
Answer:
one value of x = 2
Step-by-step explanation:
[tex](x^2 + 4 )^2 - 11(x^2 + 4 ) + 24 = 0\\\\x^4 + 16 + 8x^2 - 11x^2 -44 + 24 = 0\\\\x^4 - 3x^2 -4 = 0\\\\[/tex] ------ ( 1 )
[tex]Let \ x^2 \ = \ u[/tex]
( 1 ) => [tex]u^2 - 3u - 4 = 0[/tex]
[tex]u^2 -4u + u - 4 = 0\\\\u(u - 4) + 1 (u - 4) = 0\\\\(u + 1) (u - 4) = 0\\\\u = -1 \ , \ u = 4[/tex]
[tex]=> x^2 = - 1 \ and \ x^2 = 4[/tex]
[tex]x = \sqrt {-1} = i[/tex]
[tex]x = \sqrt{4} = \pm 2[/tex]
help me please as soon as possible. I will mark you as the brainliest
1) 36
2) 143
3) 18
4) 12
5) 15
6) 108
7) 58
The key here is to perform direct substitution in each problem.
I'll do a quick working down here
1) 9(8-4)= 9*4 =36
2) 4(5*4)+7*9= 80+63 =143
3) 114-(3*8*4)= 114-96=18
4) 24/(1*2) = 24/2 = 12
5) 19 - (28/7) = 19- 4 = 15
6) 3 (6)^2 = 3*6*6= 108
7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58
The line that passes through the points (5, 3)
and (8. A) is perpendicular to the line
6x + 7y + 13 = 0. Determine the value of A.
Answer:
[tex] \frac{13}{2} [/tex]
Step-by-step explanation:
slope of the line that passes thru (5, 3) and (8, A)
[tex] = \frac{a - 3}{8 - 5} \\ \frac{a - 3}{3} [/tex]
the line that is perpendicular to the given line is
6x + 7y + 13= 0
finding the slop of this line :-
[tex]6x + 7y + 13 = 0 \\ 7y = - 6x - 13 \\ y = - \frac{6}{7} x - \frac{13}{7} [/tex]
Comparing with standard equation of a line
y = mx + c
where m is the slop and c is the y- interceptm = - 6/ 7
Since, the two lines are perpendicular to each other the product of their slopes will be - 1
[tex] \frac{a - 3}{3} \times \frac{ - 6}{7} \\ \frac{ - 2(a - 3)}{7} = - 1 \\ - 2a + 6 = - 7 \\ - 2a = - 7 - 6 \\ - 2a = - 13 \\ 2a = 13 \\ a = \frac{13}{2} [/tex]
( canceling the 2 negative signs on both the sides )
Fill in the blanks with the most appropriate words given below.
around, react, too, method, fields, on, plants,
together, is, family, planter, weeds, experience, talking
Ecology is the study of how (1)… ……………………, animals and people live (2)…… ………… and
help each other. But man sometimes forgets he (3) ……..……….. a part of the (4)……………….. of
all living things. Here is an example. A planter is (5)………………. about killing (6)… ……………
on his land. He remembers his first (7)……………….… with a weedicide. He was a (8)
………………….. then, working (9)………..………..a rubber plantation. He had a problem with
weeds. The cost of weeding of the (10)…….…………… by hand was getting (11)………..…………
high. So he used a new, cheap and effective (12)……………………, good old Sodium
Arsenate. He sprayed plenty of this (13)………………………… to kill the weeds. The first thing to
(14)…………………… were the frogs.
Answer:
1. plants
2. together
3. is
4. family
5. talking
6. weeds
7. experience
8. planter
9. on
10. fields
11. too
12. method
13. around
14. react.
Explanation:
The given passage talks about the impact of chemicals on the ecosystem. The speaker narrates how the ecology belongs to plants, animals, and humans, though man seemed intent to destroy it for himself.
The blanks in the given passage are filled with the appropriate words as follows-
Ecology is the study of how (1) plants, animals, and people live (2) together and help each other. But man sometimes forgets he (3) is a part of the (4) family of all living things. Here is an example. A planter is (5) talking about killing (6) weeds on his land. He remembers his first (7) experience with a weedicide. He was a (8) planter then, working (9) on a rubber plantation. He had a problem with weeds. The cost of weeding of the (10) fields by hand was getting (11) too high. So he used a new, cheap, and effective (12) method, good old Sodium Arsenate. He sprayed plenty of this (13) around to kill the weeds. The first thing to (14) react were the frogs.
Which set of numbers is arranged in increasing order? A. , , , B. , , , C. , , , D. , , ,
Answer:
its B
Step-by-step explanation:
3.14 then pi (3.14159) then 22 ÷ 7 (3.1428) then square root of 10 (3.16)
Answer:
B
Step-by-step explanation:
pi=3.141592654
square root of 10=3.16227766
3.14=3.14
22/7=3.142857143
If you have to multiply the previous number by 2 in the y intercept in order to receive the next number, what would the equation be?
Answer:
Jsjsjsjsjwjwksjsjjsisisiwiw
Patty’s gymnastics class is 5
6
of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill?
Explain how to use an area model to solve the problem.
Answer:
possibly 11 hours on each which is embarrassing
Help please will be marked as brainliest if correct.
Answer:
5
Step-by-step explanation:
Greater than 0
Less than 100
Is not 4, but is greater than four
Is less than 5.5
Must be a whole number
5 is the only whole number between 4 and 5.5
ill be giving brainlist:( please help
Answer:
Step-by-step explanation:
The translation vector < 4, - 2 > means each point is being moved 4 units to the right and 2 units down.
X(0, 3) ------> X' ( 0 + 4, 3 - 2 ) = X'(4, 1)
Y( - 1, 1) ------> Y' ( - 1 + 4, 1 - 2 ) = Y'(3, - 1)
Z( - 3, 4) -----> Z' ( - 3 + 4, 4 - 2 ) = Z'(1, 2)
How many one-to-one correspondences exist between A = {1, 2, 3, 4} and B = {a, b, c, d}
Answer:
There are 24 different correspondences.
Step-by-step explanation:
A one-to-one correspondence means that each element of A can be mapped into only one element of B, and we can't have two or more elements from A mapped into one element from B.
So, to count all the possible combinations, we need to find the number of possible options for each mapping
The first element from A, the 1, can be mapped into any of the four elements of B, so here we have 4 options.
The second element from A, the 2, can be mapped into any of the remaining elements from B, 3 of them (remember that one of the elements of B is taken).
The third element from A, the 3, can be mapped into any of the remaining elements from B, 2 of them now, so here we have 2 options.
The final element from A, the 4, can be mapped into the remaining element from B, so here we have only one option.
The total number of different correspondences (or combinations) is equal to the product between the numbers of options, this is:
Combinations = 4*3*2*1 = 12*2 = 24
There are 24 different correspondences.
Convert 4cm to meters
Answer:0.04
Step-by-step explanation:
Answer:
0.04 meters
It's too simple
You get 11 points if you answer a.s.a.p
Answer:
Have you got it now?
Step-by-step explanation:
25.673 round off to the nearest hundredth
Answer:
25.67
Step-by-step explanation:
Look at the thousandth place. If it is 5,6,7,8 or 9 then add 1 to hundredth place. If it is less than 5, then write the hundredth place as it is
25.67
Evaluate the expression below when x = 4 and y = -2 *
Answer:
Evaluate the expression below when x = 4 and y = -2 *
hii your question is incomplete
can you please recheck once
there is no expression given
Please answer quickly
Answer:
10
Step-by-step explanation:
given :
length WX ≅ (congruent means equal) length XY
therefore , WX = 3
WZ = WX + XZ
WZ = 3 + 7
WX = 10
What is the answer to -4 + 10.
Negative 4 plus 10
Answer:
Six
Step-by-step explanation:
10 - 4 = 6
-4 + 10 = 6
Answer:
6
Step-by-step explanation:
[tex] - 4 + 10 = 6[/tex]
6
Find the measures of a positive angle and a negative angle that are coterminal with each given angle
0=110
Answer:
Why was Mrs Hallette unhappy when people asked about her son?
Step-by-step explanation:
find the area of the Shaded sector. round to the nearest hundreds place
HELP!!! ASAP
Answer:
[tex]192.27\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of sector with radius [tex]r[/tex] and measure [tex]\theta[/tex] is give by [tex]A=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.
What we're given:
2 sectors of equal areaEach sector has a radius of 9 cmEach sector has a measure of 136 degreesTherefore, the area of the shaded regions (two sectors) is:
[tex]A=2\cdot 9^2\pi\cdot \frac{136}{360}=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}[/tex]
