Answer:
kk
l will help
we will all learn
together
Factorise the following
Answer:
4ny²+4n²-4n-8+y⁴-2y²
Write the following decimal number in standard form Two and five hundredths
Two and five hundredths is:
\(2.05\)Then, two and five hundredths in standard form is 2.05A baker used c candy eyes to decorate cupcakes. Each cupcake needed 2 candy eyes. Choose the expression that shows how many cupcakes the baker decorated in all.
The expression that shows how many cupcakes the baker decorated is:
c/2.
What is a mathematical expression?A mathematical expression is a combination of numbers, symbols, and/or variables that represents a mathematical relationship or operation. It can be written using various mathematical symbols and notation to convey a specific meaning or instruction.
Mathematical expressions can also include functions, exponents, logarithms, and other mathematical operations that represent specific relationships or computations. They are commonly used in algebra, calculus, geometry, and other branches of mathematics to represent and solve mathematical problems.
The number of cupcakes the baker decorated can be found by dividing the total number of candy eyes by the number of candy eyes needed per cupcake.
If the baker used c candy eyes in total and each cupcake needed 2 candy eyes, then the expression that shows how many cupcakes the baker decorated is:
c/2
Dividing c by 2 gives the number of cupcakes the baker decorated, since each cupcake required 2 candy eyes.
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The number of cupcakes is the total number of candy eyes divided by 2.
What is equation?
A math equation is a method that links two claims and represents equivalence using the equals sign (=). An equation is a mathematical statement that establishes the equivalence of two mathematical expressions in algebra.
The number of cupcakes decorated is equal to the total number of candy eyes divided by the number of candy eyes used per cupcake. So, if c is the number of candy eyes, then the expression that shows how many cupcakes the baker decorated is:
c/2
This is because each cupcake needs 2 candy eyes.
Therefore, the number of cupcakes is the total number of candy eyes divided by 2.
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What is the volume of the pyramid?
Answer:
It’s a blank page sorry
Step-by-step explanation:
the organizer of a conference is selecting workshops to include. she will select from 5 workshops about anthropology and 8 workshops about psychology. in how many ways can she select 6 workshops if fewer than 3 must be about anthropology?
Given data: 5 workshops from anthropology
8 workshops from psychology
Since we are to select from the workshops, this is a combination question
\(^pC_q=\frac{p!}{(p-q)!\times q!}\)If from 6 workshops selected, she has to select fewer than 3 from anthropology
This means that there are 3 possible scenarios
case 1:
select 2 from the anthropology and 4 from the psychology workshop
\(^5C_2\times^8C_4=10\times70=700\text{ ways}\)case 2:
select 1 from the anthropology and 5 from the psychology workshop
\(^5C_1\times^8C_5=5\times56=280\text{ ways}\)case 3: select 0 from the anthropology and 6 from the psychology workshop
\(^5C_0\times^8C_6=1\times28=28\text{ ways}\)Therefore the total number of ways will be the sum of all the ways in the cases
= 700+280+28 ways
= 1008 ways
Therefore there are 1008 ways
How do you calculate decay from half-life?
Using the formula T1/2 = 0.693/λ, we may determine decay from half-life.
What is half-life?The half-life is the amount of time needed for half of the initial population of radioactive atoms to decay.
T1/2 = 0.693/λ describes the relationship between the half-life, T1/2, and the decay constant.
A percentage is used to represent the degradation rate.
Simply decreasing the percent and dividing it by 100 yields the decimal equivalent.
The decay factor b = 1-r can therefore be calculated.
For instance, the exponential function's decay rate is 0.25, and the decay factor b = 1- 0.25 = 0.75 if the rate of decay is 25%.
Nearly all decay processes that are exponential, or nearly exponential, are referred to by the phrase "half-life".
Therefore, using the formula T1/2 = 0.693/λ, we may determine decay from half-life.
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If one of the zeros for y = 2x^2 - x - 21 is 3, then what is the value of the other zero?
Answer:-3.5
Step-by-step explanation:
zeros of y = 2x^2 - x - 21 means in there y=0,
so, and one of them (for example x1=3)
\(2x^{2} -x-21=0\\\)
with Vieta theorem,
x1+x2=-p=x/2
x1*x2=q=-21/2
3*x2=-21/2
x2=-7/2
x2=-3.5
Answer: The value of the other zero for the eq y=2x²-x-21 is -5/2.
Step-by-step explanation:
For a quadratic equation, we can find the sum of the zeros by dividing the coefficient of the linear term by the coefficient of the quadratic term (with the opposite sign).
In the given equation,
coefficient of the quadratic term = 2
coefficient of linear term = -1
∴ Sum of zeros= (-(-1))/2 = 1/2
Since one of the zeros is 3
∴ THE OTHER ZERO = Sum of zeros - Known zero = 1/2 - 3 = -5/2
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10.6 exponential growth and decay
1. y=7500(1+0.3)^x
2. y=(0.85)x
3. y=900(1.27)^x
I need help 1-8 please, it’s due today:)
For 1.) The surface area for the given cylinder =220π
2.) The surface area of the triangular prism = 4,848 in.
How to calculate the surface area of the different shapes given?To calculate the surface area of the cylinder, Tue formula that should be used is given below;
That is;
surface area of cylinder= 2πrh + 2πr²
where;
radius = 10 mi
height = 9mi
surface area = 2×π×10+2×π×10×10
= 20π+200π
= 220π
For question 2.)
To calculate the surface area of the triangular prism given, the formula that should be used is given below;
Surface area = BH + (B1+B2+B3)L
where;
B = 8 in
H = 6 in
B1 = 8 in
B2 = 6 in
B3 = 10 in
L = 10 in
Surface area = 8×6 + (8+6+10)×10
= 48+4800 = 4,848 in
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Consider the follwing ordered basis F = (p1(t), p2(t), P3(t)) of the vector space of polynomials of degree at most 2, where P1(t) = 1+1t + 2t², p2(t) = 2 + 0t – 3t^2, p3(t) = 2 – 0t + 2t^2. Write q(t) = -8 + 0t + -10t^2 as a linear combination of p1(t), p2(t) and p3(t). The coordinate vector of g(t) relative to the basis Fis: q(t)f = ____ ____
____
The coordinate vector of g(t) relative to the basis F is (-2, 1, -2).
We can do this by equating the coefficients of q(t) and the linear combination of p₁(t), p₂(t), and p₃(t) and solving for c₁, c₂, and c₃. Specifically, we want to solve the system of equations:
c₁ + 2c₂ + 2c₃ = -8
c₁ + 0c₂ + 0c₃ = 0
2c₁ - 3c₂ + 2c₃ = -10
The first equation comes from equating the coefficients of t⁰ in q(t) and the linear combination, the second equation from equating the coefficients of t¹, and the third equation from equating the coefficients of t².
Solving this system of equations, we get c₁ = -2, c₂ = 1, and c₃ = -2. Therefore, we can write q(t) as -2p₁(t) + p₂(t) - 2p₃(t). This means that the coordinate vector of q(t) with respect to the basis F is (-2, 1, -2), which is the vector of scalars that we used to form the linear combination of p₁(t), p₂(t), and p₃(t) that equals q(t).
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Jamie bought a car in 2005 for $28,500. By 2008 the car was worth $27,700. Create a model that describe this situation.
V(t) = -$266.67t + $28,500 is the linear model that captures this situation.
What is a linear model?
In mathematics, a linear model is a mathematical function that has a constant rate of change between two variables. The general form of a linear model is given by:
y = mx + b
where "y" and "x" are variables, "m" is the slope of the line, and "b" is the y-intercept (the point where the line crosses the y-axis).
A line's slope is the ratio of change in y (vertical) to change in x. (horizontal). It denotes the pace at which y changes in relation to x. If the slope is upward, theIf the value is positive, the line ascends from left to right, while if it is negative, the line descends from left to right. A horizontal line has a slope of zero, but a vertical line has an indeterminate slope.
A line's y-intercept is the value of y when x is zero. It denotes the point at where the line intersects the y-axis.
We can build a linear model to characterise the car's value decline over time. Let V(t) be the car's worth t years after 2005. Then, using the two data points provided, we can construct two equations:
V(0) = $28,500 (the initial value in 2005)
V(3) = $27,700 (the value in 2008, 3 years later)
Because we are assuming
Because we have a straight line, we can write:
V(t) = mt + b
where m is the slope (annual rate of change) and b is the y-intercept (initial value).
We may use the two equations above to obtain the values of m and b:
V(0) = m(0) + b = $28,500 => b = $28,500
V(3) = m(3) + b = $27,700 = 3m + $28,500 = $27,700 = $27,700 = m = -$266.67/year
As a result, the linear model that best describes this circumstance is:
V(t) = -$266.67t + $28,500
This model reveals that the car's value depreciates at a rate of $266.67 per year, with a starting value of $28,500 in 2005. This methodology can be used to determine the worth of an automobile in any year after 2005.
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Use a ratio box to solve this problem. One hundred
inches equal 254 centimeters. How many centimeters
equal 250 inches?
Answer:
vGreat job!
You earned
+5 pts
for helping
Step-by-step explanation:
find each value of k for which the lines y=9kx-1 and kx 4y=12 are perpendicular
The value of k in the equations is 2/3
How to determine the value of kFrom the question, we have the following parameters that can be used in our computation:
y = 9kx - 1
kx + 4y = 12
This can be expressed as
y = 9kx - 1
y = -kx/4 + 3
The slopes of perpendicular lines are opposite reciprocal
This means that
9k * -k/4 = -1
So, we have
k^2 = 4/9
Evaluate
k = 2/3
Hence, the value of k is 2/3
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Which situation best represents causation?
The more you study, the more A’s you will make in class.
The more you study, the more classes you will fail.
The older you are, the less battery life you will have on your cell
The taller you are, the more pencils you will buy for school.
Answer:
the first one
Step-by-step explanation:
what is 45x3,679= what is the sum
Answer:
679
Step-by-step explanation:
6d + 7 = 61 what does d equal?
Answer:
i would reword this to 6x+7=61
Step-by-step explanation:
So.
move the 7 to the right side of the equation but as an opposite number so in this case its gonna be a negative
61-7=54
then you divide the number and get your missing numbers
54/6=9
d=9
plug it in
6(9)+7=61
The dimensions of a rectangle are dilated using a scale factor of 3. If the old area is 75 sq. Ft. What is the area of the new rectangle
Answer:
225 sq. Ft
Step-by-step explanation:
Key words in the question;
Dilated - This means increased pr expanded
Scale factor of 3 - This basically means multiplied by 3
Old square = 75 sq. Ft
This means;
New are = Old area * 3
New area = 75 * 3 = 225 sq. Ft
Members of the drama club spend $795 on t-shirts and sweatshirts for a play.They purchase 20 more tshirts than sweatshirts.They buy tshirts for $12 each sweatshirt for $25 each. How many tshirts do the drama club buy
Answer:
The drama club bought 35 t-shirt
Step-by-step explanation:
Let
t-shirt = x
Sweatshirt = y
Total cost = $795
They purchase 20 more tshirts than sweatshirts
x = y + 20
The equation is:
12x + 25y = 795
12(y + 20) + 25y = 795
12y + 240 + 25y = 795
37y = 795 - 240
37y = 555
y = 15
Substitute y = 15 into
x = y + 20
x = 15 + 20
x = 35
t-shirt = 35
Sweatshirt = 15
The drama club bought 35 t-shirt
How do you interpret the meaning of the estimated coefficient for Fitness Center? How much would the rent price for a 1-bedroom apt be, if the apartment complex has a Fitness Center, Parking Space, and Wireless Internet?
The estimated coefficient for Fitness Center in a regression analysis represents the expected change in the dependent variable associated with a unit increase in the independent variable.
It tells us how much having a Fitness Center affects the rent price. To determine how much the rent price for a 1-bedroom apartment would be if the complex has a Fitness Center, Parking Space, and Wireless Internet, we would need to know the specific coefficients for each of these independent variables in the regression analysis, as well as the constant term. We could then plug in the values for each variable and calculate the predicted rent price. It is important to note that the estimated coefficient for Fitness Center does not necessarily imply causation. Other factors could be influencing both the presence of a Fitness Center and the rent price, and a regression analysis only captures the relationship between the variables that are included in the model. Additionally, the size and direction of the coefficient can vary depending on the data and methodology used in the analysis.
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A truck can be rented from Company A for $120 a day plus $0.50 per mile. Company B charges $40 a day plus $0.70 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A a better deal than Company B's?
Answer:
you must drive 200 miles in a day to make the rental cost for Company A a better deal than Company B's
Step-by-step explanation:
If you rent a truck from Company A, the cost will be 120+0.50m, where m is the number of miles you drive. If you rent a truck from Company B, the cost will be 40+0.70m, where m is the number of miles you drive. To find the number of miles you must drive in a day to make the rental cost for Company A a better deal than Company B's, we need to find the point at which the cost for Company A is less than the cost for Company B. We can do this by setting the two expressions equal to each other and solving for m:
120+0.50m=40+0.70m
120+0.50m-0.70m=40
0.20m=40
m=200
Therefore, you must drive 200 miles in a day to make the rental cost for Company A a better deal than Company B's.
From a 50 cm by 50 cm sheet of aluminum, square corners are cut out so that the sides can be folded up to make a box. a) what dimensions will yield a box of maximum volume
Dimension of box is (50-2X) cm × (50-2X)cm × X cm.
How to make box from sheets?Box can be made from square or rectangular sheets by folded up a certain amount from the each corner of each side length. The amount folded up acts as the height of box.
What is the volume of box made from aluminum sheet?Given, length and breadth of aluminum sheet = 50 cm and 50 cm
let, X is the amount that is folded up from each corner of each side.
After folded up length of sheet = (50-2X) cm = length of box
after folded up breadth of sheet = (50-2X) cm= breadth of box
As a result, height of box = X cm
maximum Volume of box = length x breadth x height
= (50-2X) ² × X
volume of box = X(50-2X) ²
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The equation of a line is given below.2x+6y=-18Find the x-intercept and the y-intercept.Then use them to graph the line.X-intercept:0Х5?ca loxy-intercept:0?
Given equation of the line is
\(2x+6y=-18\)Dividing both sides of the above equation by -18, we get
\(\frac{x}{-9}+\frac{y}{-3}=1\)The line cuts the x axis at (-9,0) and the y axis at (0,-3).
Therefore, the x intercept is -9 and the y intercept is -3.
The graph of the line is shown below.
what is 3/5 as an percent
Answer:
60%
Step-by-step explanation:
multiply the numerator and denominator by 20 so that the denominator is 100:
\(\implies \dfrac35=\dfrac{3\times20}{5\times20}=\dfrac{60}{100}=60 \%\)
Answer:
3/5 As a percent is 60%
To convert 3/5 to fraction
Therefore, the solution is 60%.
PLEASE ANSWER THISSSS I RLLY NEED HELP IM ON A TIME FIRST RIGHT ANSWER GETS BRAINLIEST!!!!!!!!!
Answer:
m(1)= 77°, m(6)= 56°, m(13)= 77° , m(2)= 103° ,m(8)= 77° ,m(14)= 103°
Step-by-step explanation:
a // b
m(10) = m(1) = 77° (corresponding angles)
m(6) = m(11) (alternate angles)
m(7) = m(12) (alternate angles)
m(10) + m(11) + m(12) = 180°
m(11) = 180° - (77° + 47°) = 56°
m(6) = 56°
m(10) = m(13)= 77° (vertically opposite angles)
m(2) = m(11) + m(12) = 56° + 47° =103°(corresponding angles)
m(8),m(7) and m(11) make a triangle,so.....
m(8) = 180° - (47° + 56°) = 77°
m(14) = m(11) + m(12) = 56° + 47° =103° (vertically opposite angles)
A small square frame has an area of 16 square inches. A large square frame has an area of 64 square inches. How much longer is the side length of the large frame than the side length of the small frame
The side length of the large frame is 4 inches longer than the side length of the small frame.
To find the difference in side lengths between the small square frame and the large square frame, we need to find the length of the sides of each frame.
Let x be the length of the side of the small square frame. Then, we know that the area of the small frame is 16 square inches.
Area of small frame = side length of small frame x side length of small frame = 16
\(x^2 = 16\)
Taking the square root of both sides, we get:
\(x = 4 inches\)
So, the length of the side of the small square frame is 4 inches.
Now, let y be the length of the side of the large square frame. We know that the area of the large frame is 64 square inches.
Area of large frame = side length of large frame x side length of large frame = 64
\(y^2 = 64\)
Taking the square root of both sides, we get:
y = 8 inches
So, the length of the side of the large square frame is 8 inches.
To find the difference in side lengths, we subtract the length of the small frame from the length of the large frame:
\(y - x = 8 - 4 = 4\)
Therefore, the side length of the large frame is 4 inches longer than the side length of the small frame.
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Anthony owns a bakery and buys raw eggs in packs of 50 for $5.00 each. The delivery is a set fee of $10.00. If Anthony has $100.00 to spend, what is the domain of this function,
where a represents the number of packs of eggs?
Answer:
B.
Step-by-step explanation:
The set of all real numbers where 1≤x<18.
Trisha has three brothers. The first brother is three years older than Trisha, the second brother is three years younger than Trisha, and the third brother is one-third Trisha's age. Trisha's father is three times Trisha's age. Trisha, her three brothers, and her father are a combined total of 95 years old. How old is Trisha?
The required, age of Trisha is 15 years old.
Let's represent Trisha's age as "T." Then we can use this variable to represent the ages of her brothers and father as well.
According to the problem, Trisha's first brother is three years older than her, so his age would be T + 3. Her second brother is three years younger than her, so his age would be T - 3. Trisha's third brother is one-third of her age, so his age would be T/3. Trisha's father is three times her age, so his age would be 3T.
The sum of all their ages is 95, so we can create the equation:
T + (T + 3) + (T - 3) + (T/3) + 3T = 95
T = 15
Thus, the required age of the Trisha is 15 years.
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Which display is most likely to reveal association between X and Y ? A. Dot plot B. Scatter plot C. Histogram D. Pareto chart
Scatter plot Answ
Step-by-step explanation:
What is the unit rate per hour for a car that has traveled 579 miles in 9 hours? Round your answer to the nearest hundredth.
64.33 miles per hour
73.67 miles per hour
57.90 miles per hour
9.58 miles per hour
Answer:
64.33 miles per hour
Step-by-step explanation:
Divide the miles by 9 to get the miles per hour.
(i need a hug)
1.776e^23 in stanard form