Answer:
y = 5.5x - 17
Step-by-step explanation:
(4,5)(2,-6)
M = ∆y/∆x-6-5/2-4-11/-2 this is the gradientchose any of the point then introduce another point(4,5) (x,y) the gradient is -11/-2M =∆y/∆x y-5/x-4 = -11/-2-2(y-5) = -11 ( x -4)-2Y + 10 = -11x + 44-2Y = -11x + 44 -10-2Y = -11x + 34divide the while equation by -2y = 5.5x + - 17 y= 5.5x - 17In a survey, the number of people in each of the 10 vans passing a certain traffic junction was tracked as: 13,16, 12, 14, 13, 14, 12, 19, 14, 17. Find the mean, median and mode of the data.
Answer:
mean: 14. 4 . Median: 13.5 Mode: 14
Step-by-step explanation:
can
5. (a) Find the expansion of cos(x + y) and cos(x – y). Show that cos(x + y) cos(x - y)
be written as cos x - sin?
y.
(5 marks)
(b) Hence, from part (a) and without using the calculator, find the value of
cos(75°) cos (15°), where x and y are special angles.
(5 marks)
Answer:
The identity is: cos(x+y)cos(x-y) = cos^2(x) - sin^2(y). Answer to part (b) is 1/4
Step-by-step explanation:
cos(x+y) = cos(x) cos(y) - sin(x)sin(y)
cos(x-y) = cos(x)cos(y) + sin(x)sin(y)
For convenience, let A = cos(x) cos(y), and B = sin(x) sin(y).
Thus,
cos(x+y) = A - B
cos(x-y) = A + B, and
cos(x+y) cos(x-y) = (A-B)(A+B) = A^2 - B^2 = cos^2(x) cos^2(y) - sin^2(x)sin^2(y) = (1 - sin^2(x))(1 - sin^2(y)) - sin^2(x) sin^2(y) =
1 - sin^2(x) - sin^2(y) + sin^2(x) sin^2(y) - sin^2(x) sin^2(y) =
1 - sin^2(x) - sin^2(y) =
cos^2(x) - sin^2(y)
(b) Let x=45, and y=30, so we have that
cos(75)cos(15) = cos(45+30) cos(45-30) =
cos^2(45) - sin^2(30) =
(sqrt(2)/2)^2 - (1/2)^2 =
2/4 - 1/4 =
1/4
help me with this sum I will mark you as brainiest
Answer:
380
144
147
345
114
368
296
174
62
Answer:
30 x 6 = 180
95 x 4 = 380
48 x 3 = 114
21 x 7 = 147
69 x 5 = 345
38 x 3 = 114
46 x 8 = 368
74 x 4 = 296
29 x 6 = 174
31 x 2 = 62
If x times y equals z which of the following statements is true
Simplify 3(a+4b)=3a+12b
Step-by-step explanation:
3(a+4b)
3×a+3×4b=3a+12b
3a+12b=3a+12b
Question Help 2.6.PS-9 Challenge The table lists recommended amounts of food to order for 19 party guests. Nathan and Sydney are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these "drop-in" guests as half a guest. How much of each food item should Nathan and Sydney order for a graduation party with 15 drop-in guests? Party Food Item Amount Fried 24 Chicken pieces 1 Deli 4 3 Meats pounds 3 C. Nathan and Sydney should order pieces of chicken. (Simplify your answer. Type an integer, proper fraction, or mixed number.) Enter your answer in the answer box and then click Check Answer. 2 parts
25 guests is 2.5 times more than 10
Multiply each order by 2.5
Chicken = 16 x 2.5 = 40
Lasagna = 7 x 2.5 = 17.5 , round to 18
Deli meat = 1.8 x 2.5 = 4.5, round to 5
Sliced cheese = 15 x 2.5 = 37.5, round to 38
Buns = 1 x 2.5 = 2.5, round to 3
Potato salad = 2 x 2.5 = 5
Answer:
helo
Step-by-step explanation:
1. Two planes departed from an airport at the same time. One flew east at the rate of 180 mph.
The other flew west at the rate of 330 mph. In how many hours will they be 1530 miles apart?
9514 1404 393
Answer:
3 hours
Step-by-step explanation:
After 1 hour, the planes are separated by a distance of 180 +330 = 510 miles. At that rate, the time it takes for them to be 1530 miles apart is ...
time = distance/speed
time = (1530 mi)/(510 mi/h) = 3 h
After 3 hours, the planes will be 1530 miles apart.
find the product of 0.58 x 0.3
0.174
Hope it helps yah (◕ᴗ◕✿)
Solve each problem. Show all your steps. All work must be shown for full credit to be earned. Write your answers in simplest form. Watch your signs!
Answer:
3. -2 4/7 4. 40 5. -8 6. 7/8
Step-by-step explanation:
I have to finish a quiz so i cant answer all of them right now.
The ones place digit of the cube of 88 is _________.
a) 8
b)6
c)2
d)4
ii. Now consider the second number 8888
Here the last digit of 8888 is 8.
The cube of 8 is 512.
⇒83=512
Here the last digit of 83 is 2.
Hence the one’s digit of the cube of 8888 is 2.
If h(x)=4x−2, which of the following is h(a+2)?
Answer:
GIVEN,h(x)=4x−2
Then,
h(a+2)= 4(a+2)-2
h(a+2)=4a+8-2
h(a+2)=4a+6
Multiply (x + y)(x + y + z).
Answer: Shown down below
can you guys explain me how to do long division
Step 1: Take the first digit of the dividend. ...
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
Step 4: Bring down the next number (if present).
Step 5: Repeat the same process.
THERE ARE 32 UNICORNS IN TOTAL.
THERE ARE 12 MORE UNICORNS WITH
GOLD HORNS THAN UNICORNS WITH
PURPLE HORNS
Answer:
20 purple unicorns
Step-by-step explanation:
Sound travels about 340 m/s. The function d(t)=340t gives the distance d(t),in meters, that sound travels in t seconds. How far does sound travel in 38 seconds?
quadratic form to vertex form with a vertex of (-4,-1) and a y-intercept of 7
Which of the following points is not coplanar with points C, D and E?
c is is the answer how much you going to have to graphic
NEED HELP ASAP
Solve the following problems using the numbers 0 – 9 once each.
⛀ - 11 = - ⛀
⛀ - - ⛀ = 13
⛀ + - ⛀ = - ⛀
7 - ⛀ = ⛀ + ⛀
You CANNOT repeat any numbers
NO LINKS OR TROLLS
+10 - 11 = - 2
- 9 - 4 = 13
+5 - 6 = - 1
7 - 3 = 4 + 8
The total of 3 suitcases is 127 lb. The gray suitcase weighs 11 lb more than the pink suitcase. The pink suitcase weighs 5 lb than the blue suitcase. How much does the blue suitcase weigh?
If the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb
Let the gray suitcase be represented by g
Let the pink suitcase be represented by p
Let the blue suitcase be represented by b
The gray suitcase weighs 11 lb more than the pink suitcase
g = p + 11........(1)
The pink suitcase weighs 5 lb than the blue suitcase.
p = b + 5
b = p - 5...........(2)
Total of 3 suitcases = 127 lb
p + b + g = 127............(3)
Substitute equations (1) and (2) into equation (3)
p + p - 5 + p + 11 = 127
3p + 6 = 127
3p = 127 - 6
3p = 121
p = 121/3
p = 40.3 lb
Substitute p = 40.3 into equation (2)
b = p - 5
b = 40.3 - 5
b = 35.3
The blue suitcase weigh 35.3 lb
Learn more here: https://brainly.com/question/11865047
Help help help help help
Answer:
the exponent is 8
Step-by-step explanation:
18 is being raised to the 8th power (AKA- being multiplied by itself 8 times)
btw- 18 is the base
hope this helps :)
please crown me brainliest!!!
The exponent is 8. An exponent is represented by the superscript above/ of the number.
The model to Zeno Park in the center of the city if their dimensions of the park in the model or nine inch by 17 inches what are the actual dimensions of the park
Answer:DAWDAWD A AWDAW
DRF FseFSKEF SEF DAWDHA DJAWD ,AHSJD IWDA WDADKWDA DAWD WAD
AW D
Line R passing through point P(-2, -1) and point (3,5). Find the slope of line R.
Answer:
Slope: 6/5
Step-by-step explanation:
For this problem, you'll need to apply the slope formula Y2-Y1
X2-X1.
Let's now assign each number their position in the formula. The first set of parentheses, (-2,-1) is going to translate to (x1,y1). (3,5) will translate to (x2,y2). Now, when you put it all together, you get 5-(-1) / 3-(-2). This would give you 6/5. That would be your slope. You can then proceed to graph it. Hope this helped! :))
What are the domain and range of the exponential decay function?
A) Domain: X < 3 Range: Y > 3
B) Domain: All real numbers; Range: y > 3
C) Domain: All real numbers; Range: All real numbers
D) Domain x > 3; Range: All real numbers
Answer:
B) Domain: All real numbers; Range: y > 3
Step-by-step explanation:
I. x can be any value in real number
but if you look at the graph, the y is near 3 but not 3
So y is more than 3 and x is all real number
When x is domain and y is renge.
That makes domain is real number and renge is more than 3.
Hope that help :)
What is the common meaning of A, F, L, S
Answer:
The common meaning of A, F, L, S is "Flu Like Symptoms"
If a pair of corresponding angles are complementary, what is the measure of each angle?
Answer:
Step-by-step explanation:
Complementary is adding up to 90 degrees. depends what the other angle is/one of the pair. Subtract that by 90 and you find the other angle.
Help help don’t understand
Answer:
the number in scientific notation is 8.950*10^6
Answer:
8.95×10^6
Step-by-step explanation:
please mark me as brainlest
=
Initial Knowledge Check
Solve for x.
- 10= -6+ 2x
Simplify your answer as much as possible.
x=
Answer:
-2
Step-by-step explanation:
-10 = -6 + 2x
-10+6=2x
-4÷2x
-2=x
What numbers are less than 2.98
Answer:
... anything less than 2.98??
Step-by-step explanation:
Rachael bought a pumpkin pie that cost $3.90. She gave the cashier a five dollar
bill. What will her change be?
Show your work
Answer:
$1.10
Step-by-step explanation:
subtract 3.90 from 5.00 to get 1.10
or 3.90 + 1.10 = $5.00
A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for and round to the nearest whole number.) 12 inches 12 inches
Answer:
Step-by-step explanation:
Thus this area is 12^2 which is 144 sq. in. The area for the circle is dependent on the radius which would be half the diameter or length of the square. The formula for the area of a circle is πr^2 so 36π is the area of the circle