Answer: D
Step-by-step explanation:
21=7+6+neither-5
7+6=13-5=8
21-8=13
James asked 50 pupils which drink they liked best from cola, milk and water.
23 boys were included in the survey.
11 of the boys said that cola was their favourite.
3 boys liked water best and 7 girls liked water best.
22 pupils altogether said that milk was their preferred drink.
How many pupils altogether said that cola was their favourite drink?
Answer:
18 pupils
Step-by-step explanation:
11 like cola
32 like other stuff
11+32=43 - 50-43=7
therefore 11+7=18
18 students like cola the best
A game costs $1.00 to play. In the game, the player picks a card at random from a standard deck of cards. If the card is a face card, the player receives $7.00 if the card is not a face card, the player receives nothing.
What is the expected value for the player?
The expected value for the player by participating in the game of the deck of cards is $0.50.
What is the expected value?The expected value is the payoff that is expected less the cost of the game.
Expected value = total benefits of the game - cost
(fraction of face cards x payoff of picking a face card) + 0 - $1
(12/52 x 7) - $1 = $0.50
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Question 1 The diagram below shows the straight line joining points A and B. YA A(-1,6) 0 х B (3,-2) Find the equation of the line AB. Give the equation in its simplest form.
Answer:
y+2x=4
Step-by-step explanation:
use the formula of equation of line
The equation of line is y= 4 - 2x.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given co- ordinates:
A(-1,6) and B (3,-2)
slope = [tex](y_2 - y_1) / (x_2 - x_1)[/tex]
slope = ( -2 - 6)/ ( 3 -(-1))
slope = (-8) / (4)
slope = -2
Now, the equation of line
([tex]y-y_1) = m (x - x_1)[/tex]
(y- 6) = (-2)(x - (-1))
y-6 = (-2)(x + 1)
y-6 = -2x -2
y= 4 - 2x
Hence, the equation of line is y= 4 - 2x.
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Given the expression which operation would you perform first?
Hey there!
Let's use PEMDAS:
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
So, let's use this formula in order to solve this problem.
We have:
3(4²)+4+16-9
According to PEMDAS, the first operation is
Parentheses (in this case, exponents)
Hence, the answer is
[tex]\boxed{\boxed{\bold{Option\;B}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
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[tex]\rule{200}{2}[/tex]
8) Which table shows a proportional relationship between x and y?
1
y
1
4
2
3
4
8
4
6
10
с
12
8
А
9
16
14
16
12
22
20
20
15
28
x
3
.
y
5
1
12
6
10
2
14
12
D
w N
B
15
16
18
18
4
24
20
20
30
25
5
9 Danielle constructs a scale model of a building with a rectangular base. Her model
Answer:
D
Step-by-step explanation:
A table shows a proportional relationship if all of the y/x ratios are the same.
A: 4/3 ≠ 10/6 . . . . not proportional
B: 6/12 ≠ 12/14 . . . . not proportional
C: 2/4 ≠ 20/20 . . . . not proportional
D: 1/5 = 2/10 = ... = 5/25 . . . . proportional relationship
Answer:
D
Step-by-step explanation:
1*5=5
2*5=10
3*5=15
4*5=20
5*5=25
I need help with this question can someone help??
Question is in photo :p
Answer:
The answer to this question is 0.6
Step-by-step explanation:
An AlienWare computer cost $4,200. You have a 35% coupon for their products. How much are you able to purchase the computer for?
Answer:
$1470 coupon of their product I have
Which number is bigger: 0.135 or 0.14?
Part A: Given sine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,∞).
Part B: Given θ = 675°, convert the value of θ to radians and find sec θ.
(Picture below is equation stated in Part A)
Answer:
A. {60°, 120°, 420°}
B. θ = 15π/4; sec(θ) = √2
Step-by-step explanation:
A.The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...
θ = arcsin(√3/2) = 60°
The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...
{60°, 120°, 420°}
__
B.One degree is π/180 radians, so the given angle in radians is ...
θ = 675° = 675(π/180) radians = 15π/4 radians
This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is
sec(45°) = √2
The 4th-quadrant angle has the same sign, so ...
sec(675°) = sec(15π/4) = √2
Which of the following is equivalent to
x
2
+
5
x
+
1
=
0
?
Answer:
x= -1/7
Step-by-step explanation:
2x + 5x + 1 = 0
7x = -1
x = -1/7
= 1 2 + (2 + tan 1 2 ) where and are constants. Show that (1 + ) ²y/dy²=y
Answer:
Step-by-step explanation:
What is the volume of this right prism?
96 in³
60 in³
48 in³
44 in³
Answer:
96 in³
Step-by-step explanation:
Volume = 2(BHD) / 2
The 2s cancel out
Volume = 3(8)4
Volume = 96
Find the value of cos
V
V rounded to the nearest hundredth, if necessary.
Answer:
image
Step-by-step explanation:
image
4
Find the perimeter of a
Square with a side
length of 7 meters.
Answer: P=28 meters
Step-by-step explanation:
[tex]P=4[/tex] × a ⇒ a is the side length
[tex]P=4[/tex] × [tex]7[/tex]
[tex]P=28[/tex]
Answer:
28 m
Step-by-step explanation:
Given
Side length = 7 mPerimeter of a square
4 x Side length4 x 728 mWhat is the factorization of the expression below?
16x^2 - 49
A. (4x + 7)(4x - 7)
B. (4x - 7)(4x - 7)
C. (8x - 7)(2x - 7)
D. (8x + 7)(2x - 7)
Answer:
[tex](4x+7)(4x-7)[/tex]
Step by step explanation:
[tex]16x^2 -49\\\\=(4x)^2-7^2\\\\=(4x+7)(4x-7)~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)][/tex]
-1/4 (24ab + 8c) please help
p(x)=(x+2)(2x+7)(x-1)(x-3)
[tex]p(x)=(x+2)(2x+7)(x-1)(x-3)\\ \\~~~~~~=(2x^2 +7x + 4x +14)(x^2 -3x -x +3)\\\\~~~~~~=(2x^2 + 11x +14)(x^2 - 4x +3)\\\\~~~~~~=2x^4-8x^3 + 6x^2 + 11x^3 - 44x^2+33x + 14x^2 - 56x + 42\\ \\~~~~~~=2x^4+3x^3-24x^2-23x +42[/tex]
Melanie invested $63,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1
% compounded quarterly. Lillian invested $63,000 in an account paying an interest rate of 7\tfrac{3}{8}7
8
3
% compounded continuously. After 15 years, how much more money would Lillian have in her account than Melanie, to the nearest dollar?
Original price 770$ is on sale at a 9% off what is the discount amount and sale price ?
Answer:
770 x 9/100 = 69.3
the discound amount = 69.3$
the sale price = 770 - 69.3 = 700.7$
Convert the following to sq. cm or to sq. m, as required.
920 000 sq. cm= ______ sq. m
Answer:
The answer is 92
Step-by-step explanation:
1 m = 10,000cm
920,000/10,000=92
Tom had a homework assignment to graph only the coordinates that would lie in Quadrant Ill of the coordinate grid. Which point below could have been one of the points that Tom graphed?
A (-3,-7)
B (-2,5)
C (1.6)
D (5, -13)
Question #31
The required point that could have been one of the points that Tom graphed is (-3,-7) lies in Quadrant III. The correct answer would be an option (A).
What is the quadrant?A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
A point that could have been one of the points that Tom graphed is (-3,-7). This is because it lies in Quadrant III of the coordinate grid. In Quadrant III, the x-coordinate is negative and the y-coordinate is negative.
Point A has a negative x-coordinate and a negative y-coordinate, so it satisfies the requirement of being in Quadrant III.
Hence, the correct answer would be option (A).
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Is the following statement true or false? If the statement is false, explain.
Most of the funding for research comes from the government.
(1 point)
Answer:
The stament is false. Although the government deos fund research, most of the funding for research is from corporations
Step-by-step explanation:
I am sorry if it's wrong but I think that's the correct answer but read this first
Most research funding comes from two major sources, corporations (through research and development departments) and government (primarily carried out through universities and specialized government agencies; often known as research councils).
State and Local Taxes
1. Higher-income individuals are more likely to afford their standard of living and can afford to pay more in taxes.
2. Yes, 32 of the 41 states that tax wages use a graduated scale for the individual income tax.
3. sales tax, meals tax, hotels tax, excise tax, and tolls
4. federal payroll tax
5. A levy paid to a local government by a landowner, a homeowner, or a business that owns real estate.
100% if you put these answers.
Find the values of x, y, and z.
Please help!!
Answer:
x=20
y and z=160
Step-by-step explanation:
the arc of the circle is congruent to the central angle therfore x is also 20
next for y and z we can tell they are congruent now to find the measure. we can tell A is 180 so we do 360-180-20=160
Do basketball players hit a higher proportion of free throws when they're playing at home or when they're playing away this best is assessed by using
Answer:
home
Step-by-step explanation:
I'm not sure I'm just guessing honestly
find the second derivative of 2x^3-3y^2=8
Answer:
[tex]\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}[/tex]
Step-by-step explanation:
Find the first implicit derivative using implicit differentiation
[tex]2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}[/tex]
Use the substitution of dy/dx to find the second derivative (d²y/dx²)
[tex]\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}[/tex]
A worker is getting a 4.5% raise. His current salary is $35,591. How much will his raise be?
His raise will be $
(Type an integer or decimal rounded to two decimal places as needed.)
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Make an accurate drawing of two rectangles with the same perimeter, but different areas. Indicate the dimensions of the rectangles, as well as the perimeter and the area in each figure.
here.
Step-by-step explanation:
given tan 0= -15/8 where 270º < 0 < 360°
Given tan 0 =
Find cos 0
Answer:=8/17
Step-by-step explanation:
f(x)=3x^2-5x+3
f(-2)=
f(-1)=
f(0)=
f(1)=
f(2)=
Answer
answer is 19
Step-by-step explanation:
hope it's help
Find the missing numerator that will make the rational expressions equivalent.
82x+7=?6(2x+7)
The missing numerator that will make the rational expressions equivalent is (82x + 7) / (12x + 42)
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the missing numerator, hence:
82x + 7 = y * 6(2x+7)
82x + 7 = y * (12x + 42)
y = (82x + 7) / (12x + 42)
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