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:
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.
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.
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]
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?
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]
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 $12 an hour.
Step-by-step explanation:
I multiplied 7 times 5, which gives you 35. The you divide 420 by 35, which then gives you 12 dollars
Kathy is making 3 batches of pancakes for a brunch party. If each batch needs 1712 cups of milk, how much milk does she need altogether?
Answer:
5,136
Step-by-step explanation:
because 1,712×3=5,136
I want to take the measurements of my 5 avocado trees and order their
heights from shortest to tallest, that way they can get enough sunlight to
continue growing. I have to worry about sea level, so those above sea
level get sunlight more easily (positive is above sea level, negative is
below sea level). The 5 heights are in feet: 6,-3, 2,-8,-6. Please help me
order them from shortest to tallest so I plant them in the right order to get
enough sunlight.
Answer:
If we are saying everyhing above sea level is taller then plants under sea level. Then here is the order
Step-by-step explanation:
-8, -6, -3, 2, 6
And just in case it's above sea level the shortest then 6, 2, -3, -6, -8
I will go down on you at this point
The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k
I need the answers ASAP please!
Answer:
k = 3 or k = -4
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
[tex]2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$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]
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
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)
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?
Please help :) i will give brainliest for correct
find the measure of angle STP
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:
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
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
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
Help me pleaseeeee I need this quick
Answer:
Step-by-step explanation:
Multiply?
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
I don’t know how to do these I need help
k = 15 is the answer!!!!!!
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!
;)
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?
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
The formula for volume of this rectangular prism is:
V=2x(exponent is 3) +17x (exponent is 2) +46x
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 :)
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)
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