Answer:
46
Step-by-step explanation:
Toys r Us sells Pokémon cards in packs of 12 for $16.87. Walmart sells them in packs of
6 for $8.36. Justify the better deal.
#37. What is the next step when solving the equation sin (2x) - sin (x) = 0
sin(2x) - sin(x) = 0
Expand the first term using the double angle identity:
2 sin(x) cos(x) - sin(x) = 0
Factor out sin(x) :
sin(x) (2 cos(x) - 1) = 0
This leaves you with 2 cases that can be solved separately:
sin(x) = 0 or 2 cos(x) - 1 = 0
sin(x) = 0 or cos(x) = 1/2
[x = 2nπ or x = π + 2nπ] or [x = π/6 + 2nπ or x = 5π/6 + 2nπ]
(where n is any integer)
Help please ASAP thank you!! your awesome if you help
Answer:
Perimeter=56 units
Area =196 square unites
Step-by-step explanation:
The diagonal would be 14√2.
The formula for area using the diagonal is 1/2d².
1/2x(14√2)²=1/2x196x2=196
For perimeter, s²+s²=392
2s²=392
s²=196
s=√196
s=14
14x4=56
Expand and simplify (2x + 1)(x + 3)
expand and simplify (2x + 1)(x + 3)
answer : [tex]2x^2+7x+3[/tex]
-
explanation : expand the polynomial using the FOIL method.
-
FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.
-
step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)
ex : [tex]2x * x+2x * 3+x+3[/tex]
step 2 : calculate the product
ex: [tex]2x^2+2x * 3+x+3[/tex]
step 3 : calculate the product
ex: [tex]2x^2+6x+x+3[/tex]
step 4 : collect like terms
ex: [tex]2x^2+7x+3[/tex]
-
solution : [tex]2x^2+7x+3[/tex]
hope this helps !
- audrey ♡
I need help plz I don’t know how to do this
Answer:
(2,4)
Step-by-step explanation:
3x-2(-2)=x
3x-4=x
-4= -2x
x=2
y=3(2)-2
y=6-2
y=4
(2,4)
write the image of a point ( 3 - 2) under reflection about x - axis
Step-by-step explanation:
I m not sure either u have written (-2).. ans is (3,-2)
Answer:
(3, 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
(3, - 2 ) → (3, 2 )
What is the expected value for the binomial
distribution below?
1/3125
4/625
32/625
128/625
256/625
1024/3125
999.224
Step-by-step explanation:
Expected value = Summation of (x•px)
px is addressed as pdf (probability distribution function)
x px. x•px
1. 1/3125. 1/3125
20. 4/625. 16/125
160. 32/625. 1024/125
640. 128/625. 16384/125
1280. 256/625 65536/125
1024. 1024/3125. 335.544
total:. 1. 999.224
taking my pdf as x/3125
The expected value of the binomial distribution is 4
How to determine the expected value?The expected value of a binomial distribution is calculated using:
[tex]E(x) = \sum x * P(x)[/tex]
Using the table of values, we have:
[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]
Evaluate the expression
E(x) = 4
Hence, the expected value of the binomial distribution is 4
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Sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = +2.
The graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.
What is local maxima and minima?Local Maxima →
If f'(x) changes sign from positive to negative as x increases via point c, then f(c) represents the maximum value of the function in that range.
Local Minima →
If f'(x) changes sign from negative to positive as x increases via point c, then f(c) gives the minimum value of the function within that range.
Given is to sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = + 2.
Refer to the graph of the function attached.
It shows a parabola indicating a quadratic function that has a maximum value of (0, 2) and x - intercepts at x = ± 2.
Therefore, the graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.
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A network of electrical wires will be constructed so that each of the
six points on the board is directly connected to each other point by a piece
of wire. The diagram shows the board with points A, B, C, D, E, and F.
Answer:
D I just did this
what is 70.5 and 79.5 on a number line 60-100?
Answer:
s
Step-by-step explanation:
Select all the equations that are equivalent
Answer:
52=8n +4
4=52-8n
are equivalent
Answer:
a, b, c, e
Step-by-step explanation:
4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.
4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.
4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.
n = 6 is the solution to the equation so it is equivalent.
Evaluate g(2) given. Help
Answer:
[tex]g(2) = 3[/tex]
Step-by-step explanation:
Given
See attachment
Required
[tex]g(2)[/tex]
To solve this, we make use of:
[tex]g(x) = |7 - x^2|[/tex]
Because [tex]x \le 2[/tex]
i.e. [tex]2 \le 2[/tex]
So, we have:
[tex]g(2) = |7 - 2^2|[/tex]
[tex]g(2) = |7 - 4|[/tex]
[tex]g(2) = |3|[/tex]
Remove absolute brackets
[tex]g(2) = 3[/tex]
Which expression represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours?
A,B,C,D
The expression the represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours is total cost = 9b + 10s
How to find the expression for total cost?The cost of rent for bike and scooters are different.
cost for bike = $9 per hour
cost for scooter = $10 per hour
Therefore, he expression the represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours is as follows:
total cost = 9b + 10s
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Answer: 9b + 10s
Step-by-step explanation:
I - Ready Sucks :)
Select the correct answer.
Energized and Powercell are companies that manufacture alkaline batteries. Both companies claim that their batteries last longer than the average alkaline battery.
Anju decided to conduct a test to see whether their claims were true. He purchased 30 Energized batteries, 30 Powercell batteries, and batteries of other brands to conduct the test. The purchase selection was random, and the test was unbiased. The batteries that lasted longer than the average of all the batteries were stated to have passed the test. The batteries that did not last as long as the average of all the batteries were stated to have failed the test. The results for Energized and Powercell are displayed in this table.
Answer:
both manufactures' claims are true because most of there batteries lasted longer than the average alkaline battery.
Step-by-step explanation:
PLATO USERS
Answer:
Both companies claim that their batteries last longer than the average alkaline battery is true .
Step-by-step explanation:
Both companies claim that their batteries last longer than the average alkaline battery is true because most of the batteries of these companies did passed the test to last longer.
As we can project from that table given that around 77% Energized batteries passed the test and around 67% powered cell batteries passed the test.
hence we can also inferred from here that Energized batteries are more consistent.
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Can someone higher please help ?
.....................................................................................
Answer: -0.833 (repeating decimal)
Step-by-step explanation: fg(x) means plug the g(x) equation into f(x), and for gf(x) it’s vice versa:
Fg(x) = 3x^2 - 1 + 2
Gf(x) = 3(x + 2)^2 - 1
First, we should simplify gf(x) to eliminate the (x + 2)^2:
3(x^2 + 4x + 4) - 1
3x^2 + 12x + 12 - 1
3x^2 + 12x + 11
Second, simplify fg(x) by solving -1 + 2: 1
Now, we can set the two equations equal to each other and solve:
3x^2 + 1 = 3x^2 + 12x + 11 (subtract 3x^2 from each other and 1 from 11)
-10 = 12x (Divide)
-0.8333... = x
To make sure this answer is correct, plug -0.833 into the original equations and set them equal to each other:
3(-0.833)^2 + 1 = 3(-0.833)^2 + 12(-0.833] + 11
3.083 = 3.083
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
help will give max points and branlisest plls HELP ASAP BY 1230pt thanks ;]
Answer:
120cm^3
Step-by-step explanation:
Determine the greatest common factor of 28xy9z and 32x2y2z
Answer:
4xy^2z
assuming those numbers after the first ones are exponents
find the value of x in each case. will be posting more questions soon.
Lucy will spend more than $26 on gifts. So far, she has spent $17. What are the possible additional amounts she will spend?
use C for the additional amount Lucy will spend
Answer:
She can spend anything greater than $9. Such as, $10, $11, $12, $13
Step-by-step explanation:
Subtract 17 from 26 to get $9
the value, of a 7 in the millions place, is how many times greater than the value of a 7 in the ten thousands place?
Answer:
Your answer would be 100! :)
5.23y+3.8 times (2.7-1.6y)
Answer:
− 0.85 y + 10.26
Step-by-step explanation:
The multiplication of the expression (5.23y + 3.8) and (2.7 - 1.6y) will be 8.041y + 10.26 - 8.368y²
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
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.
⇒ (5.23y + 3.8) · (2.7 - 1.6y)
Simplify the expression, then we have
⇒ (5.23y + 3.8) · (2.7 - 1.6y)
⇒ 14.121y + 10.26 - 8.368y² - 6.08y
⇒ 8.041y + 10.26 - 8.368y²
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Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .
The probability that Chloe chooses a blue pencil and then a red pencil is
The probability that Chloe chooses the yellow pencil and then a blue pencil is
No links please :)
Answer:
A) P(chooses a blue pencil and then a red pencil) = 5/27
B) P(chooses yellow then blue) = 5/81
Step-by-step explanation:
She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack
Thus;
total number of pencils = 3 + 5 + 1 = 9 pencils
A) probability that she chooses a blue pencil and then a red pencil;
P(blue) = 5/9
Now she puts it bag after choosing which means the sum is back to 8 pencils.
Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3
Thus;
P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3
P(chooses a blue pencil and then a red pencil) = 5/27
B) probability that Chloe chooses the yellow pencil and then a blue pencil;
Similar to A above;
P(yellow) = 1/9
P(blue) = 5/9
P(chooses yellow then blue) = 1/9 × 5/9
P(chooses yellow then blue) = 5/81
Round to the nearest whole dollar: $7.23
Answer:
$ 7
Step-by-step explanation:
To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.
$7.23 rounded to the nearest dollar = $7
What is 3/4-5/8?
? Give your answer in its simplest form.
Answer:
1 over 8
1
8
=0.125
Step-by-step explanation:
If one data point is 36, which point would make 48 the mean?
Find the measure of the angle HELP PLSSS URGENT!
Answer:
It is 40 degrees
Step-by-step explanation:
The 2 lines, x and y are forming 90 degrees, and since we know that part of that complementary angle is 50 degrees, we would do:
50+x=90
-50 -50
-------------
x=40
solve the inequality 3/5x +30>150
Answer:
Step-by-step explanation:
3/5x+30=150
We move all terms to the left:
3/5x+30-(150)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
We add all the numbers together, and all the variables
3/5x-120=0
We multiply all the terms by the denominator
-120*5x+3=0
Wy multiply elements
-600x+3=0
We move all terms containing x to the left, all other terms to the right
-600x=-3
x=-3/-600
x=1/200
Mary has 37 sheep in her flock. If she makes one group of 7 sheep, how many equal groups of 3 sheep can be made with the remaining sheep?
Answer: 10 groups
Step-by-step explanation:
Since we know she is making a group of 7 sheep, we can do 37-7 to get 30 sheep left
If she wants to find how many groups she can make we have to do 30/3 which gets us to 10 which is the number of groups she can do
I hope this helps
Kirk used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school. Kirk will receive a scholarship each semester for $1,157.9. If he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items?
Assume two semesters equals 8 months total. Also assume Kirk has no other expenses than what he has listed here.
Scholarship for each Semester: $1,157.9
Tuition & Books Cost per Semester: $2,000
Housing Cost for a two-semester Contract: $1,025
If he has money left, what is the average monthly amount Kirk can afford to spend each month?
If he has overspent, what is the average monthly amount Kirk would be in debt each month?
(Indicate this amount with a negative sign)
(Round your answer to the nearest cent)
Kirk can spend $695.89 each month.
AveragesGiven that Kirk worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school, and Kirk will receive a scholarship each semester for $1,157.9, to determine, if he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items, assuming two semesters equals 8 months total, the following calculation must be made:
(3251.35 + (1157.9 x 2)) / 8 = X(3251.35 + 2315.8) / 8 = X5567.15 / 8 = X695.89 = XTherefore, Kirk can spend $695.89 each month.
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Answer:
Kirk can spend $695.89 each month.
Step-by-step explanation: