Answer:1 (CIE 2012, s, paper 11, question 7)
The table shows values of variables
x
and
y
.
x
1
3
6
10
14
y
2.5
4.5
0
–
20
–
56
(i) By plotting a suitable straight line graph, show that
y
and
x
are related by the equation
y
=
A
x
+
B
x
2
,
where
A
and
B
are constants. [4]
(ii) Use your graph to find the value of
A
and of
B
.
[4]
2 (CIE 2012, s, paper 22, question 7)
The table shows experimental values of variables
x
and
y
.
x
5
30
150
400
y
8.9
21.9
48.9
80.6
(i) By plotting a suitable straight line graph, show that
y
and
x
are related by the equation
y
=
a
x
b
,
where
a
and
b
are constants. [4]
(ii) Use your graph to estimate the value of
a
and of
b
.
[4]
3 (CIE 2012, w, paper 11, question 10)
The table shows values of the variables
x
and
y
.
x
∘
10
30
45
60
80
y
11.2
16
19.5
22.4
24.7
(i) Using the graph paper below, plot a suitable straight line graph to show that, for 10°
≤
x
≤
80°,
√
y
=
A
sin
x
+
B
,
where
A
and
B
are positive constants. [4]
(ii) Use your graph to find the value of
A
and of
B
.
[3]
(iii) Estimate the value of
y
when
x
=
50.
[2]
(iv) Estimate the value of
x
when
y
=
12.
[2]
4 (CIE 2012, w, paper 22, question 8)
Step-by-step explanation:
Please help :) i will give brainliest for correct
What is the equation of the graph below?
А
y = 2(x + 4)2 – 2
B
y = (x – 4)2 – 2
C y = 2(x - 4)2 – 2
D
y = 2(x – 4)2 + 4
Answer:
f(x) = 1(x - 4)^2 - 2
Step-by-step explanation:
Recall that the vertex form of the equation of a parabola is
f(x) = a(x - h)^2 + k, where (h, k) is the vertex and a is a scale factor which stretches or compresses the graph vertically.
Looking carefully at the graph, we see that h must be 4 and k must be -2.
Thus, the equation of this parabola is f(x) = 1(x - 4)^2 - 2 (which matches Answer B)
The formula for volume of this rectangular prism is:
V=2x(exponent is 3) +17x (exponent is 2) +46x
Kathy is making 3 batches of pancakes for a brunch party. If each batch needs 1712 cups of milk, how much milk does she need altogether?
Answer:
5,136
Step-by-step explanation:
because 1,712×3=5,136
ANSWER QUICK!!
Which of the following is an example of the ASCEND?
A. a bird landing on the ground
B. a hiker climbing a mountain
C. a car traveling through a tunnel
D. a submarine lowering below the surface
Answer:
answer is B
Step-by-step explanation:
he goes up
The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k
I need the answers ASAP please!
Answer:
k = 3 or k = -4
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
[tex]2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4[/tex]
What is 15% of a restaurant check for $46.72? Round your answer to the nearest hundredth, if necessary.
Answer:
$7.01
Step-by-step explanation:
46.72 * 0.15 = 7.008
Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey
Answer:
hmm
Step-by-step explanation:
2
A cell phone tower is the
shape of a rectangular
pyramid. The base has
dimensions of 12 ft by 16 ft.
The tower takes up 1152 cubic
feet of space. How many feet
tall is the tower?
Cody rented a bike from John's Bikes. It
cost $16 plus $4 per hour. If Cody paid
$24, then he rented the bike for how many
hours?
lillian works 7 hours each day for 5 days a week. she earns £420 each week. how much does she earn per hour?
need ASAP I will mark beainlist for correct t answer
Answer:
Lillian gets paid $12 an hour.
Step-by-step explanation:
I multiplied 7 times 5, which gives you 35. The you divide 420 by 35, which then gives you 12 dollars
I want to take the measurements of my 5 avocado trees and order their
heights from shortest to tallest, that way they can get enough sunlight to
continue growing. I have to worry about sea level, so those above sea
level get sunlight more easily (positive is above sea level, negative is
below sea level). The 5 heights are in feet: 6,-3, 2,-8,-6. Please help me
order them from shortest to tallest so I plant them in the right order to get
enough sunlight.
Answer:
If we are saying everyhing above sea level is taller then plants under sea level. Then here is the order
Step-by-step explanation:
-8, -6, -3, 2, 6
And just in case it's above sea level the shortest then 6, 2, -3, -6, -8
The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.
what can you conclude about the rain and the students commute on the bus and train?
I will go down on you at this point
evaluate functions from their graph g(7)
Answer:
Evaluate functions from their graph g(7)= 4
Step-by-step explanation:
If the point (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis is on the graph, then g(a)=bg(a)=bg, left parenthesis, a, right parenthesis, equals, b.
We should look for the point on the graph whose x-coordinate is 7.
The point on the graph whose xxx-coordinate is 7 is the point (7,4)
Therefore, g(7)=4.
Permutations
How many different six-letter words can be formed from the word SCHOOL?
Answer:
Se pueden formar 2520 palabras distintas de 7 letras con las letras de la palabra ESCUsil
Explicacion:listo :)
find the measure of angle STP
please help me !!! i'll give brainliest
Answer:
a. root (x^2 + 64)
Step-by-step explanation:
(8^2 + x^2) = y^2
If you root both sides,
y = root (x^2 + 64)
use adjacent angles to solve for X
Answer:
69 degrees!
Step-by-step explanation:
Angle MKL = 180 - 146 = 34 (Angles on a straight line add up to 180)
Angle x = 180 - 77- 34 = 69 (Angles in a triangle add up to 180)
Hope this helps! Please mark as brainliest!
;)
What’s the Awnser my dudes and dudetts
Answer: What do you want us to solve there is no photo and you didn't write any problem
Step-by-step explanation:
The scale of a map is 1 cm: 75 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answer:
300
Step-by-step explanation:
(75*4)/1
The helicopter can travel 75 miles per hour. How many miles per minute can the helicopter travel?
Answer:
4.69 miles per minute
Step-by-step explanation:
75 ÷ 60 (60 minutes in an hour) = 4.6875
4.6875 rounded to the nearest hundredth is 4.69
Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?
Answer:
12 months
Step-by-step explanation:
2150-350=1800
1800÷150=12
Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.
Answer:
[tex]1\%[/tex]
Step-by-step explanation:
Simple interest (I) = $160
Principal amount (P) = $2000
Time period (t) = 8 months
Let R denotes rate of interest.
Relation between simple interest, principal amount, time and rate of interest is given by [tex]I=\frac{PRT}{100}[/tex]
[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]
Answer:
12
Step-by-step explanation:
It would be: r = I * 100 / P * R
r = 160.67 * 100 / 2000 * 2/3
r = 16067*3 / 4000
r = 48201 / 4000
r = 12
In triangle RST the vertices have coordinates of R(-1,10),S(5,4)and T (-4,-2). If the midpoints of side RS and RT were connected with a segment, what would the slope of this segment be?
Plz helppp
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Midpoint of a line segment joining points [tex](x,y)[/tex] and [tex](u,v)[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2} )[/tex]
Points are R(-1,10),S(5,4)and T (-4,-2).
Midpoint of RS = [tex](\frac{-1+5}{2},\frac{10+4}{2} )=(\frac{4}{2},\frac{14}{2} )=(2,7 )[/tex]
Midpoint of RT = [tex](\frac{-1-4}{2},\frac{10-2}{2} )=(\frac{-5}{2},\frac{8}{2} )=(\frac{-5}{2},4)[/tex]
Slope of a line joining points [tex](a,b)[/tex] and [tex](c,d)[/tex] is given by [tex]\frac{d-b}{c-a}[/tex]
Slope of line joining midpoints of side RS and RT = [tex](\frac{4-7}{\frac{-5}{2}-2 })=(\frac{-3}{\frac{-9}{2} })=\frac{2}{3}[/tex]
42
40
x
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2.41
B. 429
C. 48
D. 58
Answer:
Your answer is D. 58
Step-by-step explanation:
x= [tex]\sqrt{(42^2+40^2)}[/tex]
A triangle has side lengths of 5a +3 inches and 2a +3 inches. If the perimeter of the triangle is 3a + 12 inches, which expression represents the length, in
inches, of the third side of the triangle?
Answer:
A. 2a+6
Step-by-step explanation:
I did the test and this is what I got.
Help me pleaseeeee I need this quick
Answer:
Step-by-step explanation:
Multiply?
24.
Tyannah purchased 4 dozens of eggs for $50.00. She sold each egg for
$2.00. How many eggs must she sell to make a profit of $34.00?
Answer:
I think it would be 17 because 34 ÷ 2 = 17
I don’t know how to do these I need help
k = 15 is the answer!!!!!!