Answer:
52
Step-by-step explanation:
Total Number of students :
Stage 3 : 380
Stage 4 : 240
Stage 5 : 110
Total = (380 + 240 + 110) = 730
Number of samples required = 100
Number of key stage 3 students required :
(Key stage 3 / total) * number of samples
(380 / 730) * 100
= 0.5205479 * 100
= 52.0547
= 52
Function 2
+ 4x + 1
Function _
has the larger maximum.
(Put 1 or 2 in the blank space)
Answer:
Function 2 has larger max value.
Step-by-step explanation:
We know that the graph of Function 1 has the maximum value of 1 at x = 4 by looking at the graph.
But since we don't know what the maximum value of Function 2 is (Because Function 2 isn't given as a graph but rather an equation.) which means that we have to find the maximum value of Function 2.
[tex] \large{f(x) = - {x}^{2} + 4x + 1}[/tex]
It is not necessary to find x-value for a function because we want to know which function has larger maximum value. We will be using the formula below.
[tex] \large \boxed{y = \frac{4ac - {b}^{2} }{4a} }[/tex]
As you may know, a max-min value is indeed y-value. From Function 2, we know the value of a, b and c from standard form y = ax²+bx+c
Substitute our a, b and c in the formula.
[tex] \large{y = \frac{4( - 1)(1) - {(4)}^{2} }{4( - 1)} } \\ \large{y = \frac{ - 4 - 16}{ - 4} } \\ \large{y = \frac{ - 20}{ - 4} = 5}[/tex]
Since our maximum value or y-value is 5 for Function 2. Since we also know that Function 1 has 1 as maximum value and Function 2 has 5 as maximum value. Therefore, Function 2 has larger maximum value.
( pls help i’ll give the brainliest and quick) In the equation (x-3)2+(y-2)2=16, the center of the circle is...
(3,2)
(-2-3)
(-3,-2)
Dave rolled a number cube 10 times and recorded the frequency of each result in this table.
According to the table, what is the experimental probability in simplest form that the number cube shows 6?
A. 1/10
B. 1/6
C. 3/10
D. 1/2
Borox is loading a freight elevator with 12 boxes: 4 small, 5 medium, and 3 large. A small box and medium box together weigh 20 pounds; a medium box and a large box together weigh 28 pounds, and a large box with a small box weighs 24 pounds. What is the total weight of the 12 boxes?
Answer:
140 pounds
Step-by-step explanation:
let s == small box
m = medium box
= large box
the following 3 equations can be derived from the question
s + m = 20 equation 1
m + l = 28 equation 2
l + s = 24 equation 3
make m the subject of the formula in equation 1 and 2
m = 20 - s equation 4
m = 28 - l equation 5
equate equation 4 and 5
20 - s = 28 - l
l - s = 8 equation 6
solve equation 3 and 6 using simultaneous equation
l + s = 24 equation 3
l - s = 8 equation 6
subtract equation 6 from 3
2s = 16
s = 8
substitute for s in equation 1
8 + m = 20
m = 12
substitute for m in equation 2
12 + l = 28
l = 16
total weight = (4 x 8) + (5 x 12) + (16 x 3) = 140 pounds
What is the slope of a line that passes through (2, -5) and (6, -2)? Question 3 options: -4/3 -3/4 3/4 4/3
Answer:
C 3/4
Step-by-step explanation:
(2,-5) and (6,-2)
To find the slope, you subtract the 2 y-coords and the 2 x-coords.
-2-(-5)=3
6-2=4
So the slope is 3/4 or C.
---
hope it helps
Answer:
3/4
Step-by-step explanation:
(2, -5) and (6, -2)
Slope:
m=(y2-y1)/(x2-x1)
m=(-2+5)/(6-2)
m=(3)/4
m= 3/4
Is (x+4)^2 equivalent to 2x^2+8x+8? Explain or show your reasoning.
answer: no because they have different x values
(x + 4) 2 —> 2x + 8
2 x 2 + 8x + 8 —> 8x + 12
teachers response:
Your answer is correct in that they are not equivalent. But I need you to show me what (x+4)^2 equals. First, you would write it this way: (x+4) (x+4). Now, multiply these binomials…what do you get?
please help!!
Answer:
It's wrong because the y intercepts are different
Step-by-step explanation:
The box method is OP for these kind of questions
If I don't do a good job explaining it then I reccomend you consult the internet
The expression (x + 4)² is not equivalent to the expression 2x² + 8x + 8.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (x + 4)²
Simplify the expression, then we have
⇒ (x + 4)²
⇒ (x + 4)(x + 4)
⇒ x² + 8x + 16
Thus, the expression (x + 4)² is not equivalent to the expression 2x² + 8x + 8.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ3
Ill Give Brainlest if u can answer both!!!!
Answer:
Question 5 is D.
Question 6 is C.
Step-by-step explanation:
Answer:
Question 5: 96 ÷ g
Question 6 : 76
Step-by-step explanation:
Quadrilaterals DONT and WALK are similar. Find the length of side DO.
(15 Points)
Send ASAP PLSS
Of the total students at Martin Middle School, 224 students are picked up by their parent at dismissal. If this is 28% of the total number of students, how many students are at Martin Middle School altogether ?
Answer:
800
Step-by-step explanation:
28/100 =224/x
28x/28 = 22400/28
Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent
the number of hours he worked in June. Which expressions represent the amount of money, in dollars, Carlos
earned in May and June? Select all correct answers.
Answer: 11z + 11y
Step-by-step explanation:
Carlos earns his pay by the hour. That means that to find the cash made in a given month, the formula is:
= Carlos payment per hour * Number of hours worked in a month
In May he worked z hours:
He earns $11 per hour and works z hours, expression for earnings for the month is:
= 11 * z
= 11z
In June he worked y hours:
= 11 * y
= 11y
The total he earned in both May and June is:
= 11z + 11y
The expressions represent the amount of money, in dollars, Carlos earned in May and June is 11z + 11y.
Given that,
Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent the number of hours he worked in June.Based on the above information, the calculation is as follows:
For May it is 11z
For June it is 11y
So, total it should be
11z + 11y
Learn more: https://brainly.com/question/24908711?referrer=searchResults
Classify the pair of angles shown.
Answer:
complementary angles
Step-by-step explanation:
The two angles add to 90 degrees, which means they are complementary angles
Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (in meters per second) as a
function of time (in seconds). According to the table, which point is the y-intercept on a graph representing the data?
A) (0,0)
B) (0, 12)
C) (12,0)
D) (0, 20)
Answer:
1 cubic meter (m3) is equal to how many cubic center meters(cm3)Answer:
B if your doing prep
Step-by-step explanation:
math
2(2x - 3) + 6 = 4x How many solutions does the equation have? A. no solutions B. one solution C. two solutions D. infinitely many solutions
Answer:
D. infinitely many solutions
Step-by-step explanation:
to find how many solutions the equation have, we can solve it
here's the given equation:
2(2x-3)+6=4x
our goal is to isolate the variable onto one side
do the distributive property shown in the equation (multiply both 2x and -3 by 2)
4x-6+6=4x
combine like terms (add -6 and 6)
4x=4x
subtract 4x from both sides, as we still have the variable on both sides
0=0
0 is always equal to 0; that's an identity
if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions
Answer:
D. Infinitely many solutions.
Step-by-step explanation:
use f(x) = 2x-9 and g(x)=9-x^2 to evaluate g(f(3))
Answer:
g(f(3)) = 0
Step-by-step explanation:
f(x) = 2x - 9
f(3) = 2(3) - 9
f(3) = -3
g(-3) = 9 - (-3)^2
g(-3) = 9 - 9
g(-3) = 0
The radius of a circle is 2 m. Find the circumference to the nearest tenth.
Answer:
25.13 or 25.1
Step-by-step explanation:
2 x pi/3.14x4
Answer:
12.6
Step-by-step explanation:
circumference=2πr
=2 x 3.142 x 2
= 12.6 to the nearest tenth
will mark brainliest will mark brainliest
Answer:
1) SAS
2) SSS
3) SSA
4) ASA
5) No, not enough corresponding info given
Answer:
1) SAS
2) SSS
3) SSA
4) ASA
5) Sorry I don't know
Please mark me as the brainliest
. Parallel lines A and B are cut by transversal, t, as shown below. Use the relationship of the marked angles above to find the correct value of x.
Answer:
x = 30
Step-by-step explanation:
These angles form supplementary angles meaning they add up to 180°.
[tex]5x-40+2x+10=180\\7x-30=180\\7x=210\\x=30[/tex]
Someone plz help me giving brainliest
Answer:
I think 129 miles.... ..........
Answer:
129 miles
Step-by-step explanation:
1) which rule best describes the following pattern?
8,4,10, 6, 12, 8, 14, ...
1) Divide by 2, add 6, subtract 4, repeat
) Subtract 4, add 6, repeat.
» Subtract 4, add 6, subtract 6, repeat.
Divide by 2, add 6, repeat
Answer:
Step-by-step explanation:
Option C is the correct answer
The table shows the admission fees to one conservatory at Gardens by the Bay. Mr Tan and his friends planned a group visit for three adults and nine children. Find the amount of money they had to pay for their tickets.
per adult $2.
Per child $8.
Answer:
78$
Step-by-step explanation:
3 adults, 2 dollars per adult. Multiply. 3(2) = 6
9 children, 8 dollars per child. Multiply. 9(8) = 72
Add to get total sum of money they needed to pay. 72+6 = 78
4x²=9/16 Solve the equation and show your work.
Pls help me with this one
Answer:
c
Step-by-step explacnation:
Answer:
D
Step-by-step explanation:
Charles road his bike due west 17 miles, then turned due south and rode another 13 miles. About how far was he from his starting point?
a
17.5 mi
b
21.4 mi
c
13.6 mi
d
10.9 mi
Answer:
21.4 miles (Answer A)
Step-by-step explanation:
17 miles west and then 13 miles south can be represented by a triangle whose leg lengths are 17 miles and 13 miles respectively. We use the Pythagorean Theorem to find the length of the hypotenuse of this triangle; the hypotenuse length is the straight line distance between starting and end points:
d = √(13² + 17²) miles, or d = 21.4 miles
4. Find the volume of the figure. The base is a square.
5. Find the volume of the figure. Leave the answer in the terms of pi
Answer:
A) 283500 ft³
B) 1057.26 π in³
Step-by-step explanation:
A) Volume of square based pyramid
= 1/3 × Area of the base × height
= 1/3 × (90 ft)² × 105 ft
= 283500 ft³
B) This figure is a composite figure
Step 1
Find the volume of the cone
=1/3 πr²h
r = radius = 8.5 in
h = height = 10 in
= 1/3 × π × (8.5 in)² × 10 in
= 240.83333333 π in³
≈ 240.83 π in³
Step 2
Find the volume of the cylinder
= πr²h
= r = radius = 8.5 in
h = height = 11.3 in
= π × (8.5 in)² × 11.3 in
= 816.425 π in³
≈ 816.43π in³
Volume of the figure = (240.83 π + 816.43 π) in³
= 1057.26 π in³
The time spent by a teacher on schoolwork during the weekend is normally distributed with a mean of 6 hours and a standard deviation of 1.2 hours.
a) What amount of time do the bottom 20% of teachers work?
b) What amount of time do the top 20% of teachers work?
c) What amount of time do the middle 40% of teachers work?
Ms. Biediger family wants to drive 750 miles. If they drive the same distance each day for 5 days what distance d, do they need to drive each day
Solve equation
4x-1=0
Answer:
x=1/4
Step-by-step explanation:
Answer:
4x-1=0
+1 +1
4x=1
/4 /4
x= 0.25 or 1/4
Step-by-step explanation:
i hope this helps :)
Lemon Yellow paint can be made by
mixing 5 gallons of yellow paint and
2 gallons of white paint. How many
gallons of yellow paint should be
mixed with 9 gallons of white paint
to make Lemon Yellow?
Need help dhdudhehebdhdbdhdbdhbdbdbshsshhshsshhshsshhshs
A pole with a height of 50 feet casts a shadow 50 feet long. Find the angle of elevation of the sun at this point in time.
(please explain the best you can )
Answer:
0 = 30.96
Step-by-step explanation:
because math