It will be B.
Hope this helps!
Answer:
A.
Step-by-step explanation:
The points are at 3,1 which 3/1=3, 6,2, which 6/2=3/1, and 9,3, which 9/3=3/1.
(hope this helps!)
Ethan bought a lemon grass seedling and a black pepper seedling from a plant nursery. The lemon grass seedling was 15 inches when he bought it and it grew 0.75 inch per month.The black pepper seedling was 2.25 inches when he bought it and it grew 0.25 inch per month.
Answer:
15
Step-by-step explanation:
0.75 lemon grass seedling and a black pepper seedling from a plant nursery
please help factorise 7ab+a
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
Determine the equation of the circle graphed below.
\((x - 4)^2 + y^2 = 4\) is the equation of the given circle.
As we can see in the graph that the radius of the circle is 2 units and the circle is passing through the point (4, 0).
To find the equation of a circle, we need the center coordinates (h, k) and the radius (r). In this case, the radius is given as 2 units, and the circle passes through the point (4, 0).
The center of the circle can be found by taking the coordinates of the given point. In this case, the x-coordinate of the point (4, 0) represents the horizontal position of the center.
Center coordinates: (h, k) = (4, 0)
Now, we can write the equation of the circle using the formula:
\((x - h)^2 + (y - k)^2 = r^2\)
Substituting the values into the equation, we get:
\((x - 4)^2 + (y - 0)^2 = 2^2\)
Simplifying further, we have:
\((x - 4)^2 + y^2 = 4\)
Therefore, the equation of the circle with a radius of 2 units, passing through the point (4, 0), is \((x - 4)^2 + y^2 = 4\).
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In which case is the work done on the system always positive? * (3 Points) AV = 0 AV > 0 AV < 0 AE > 0
The correct option is AV > 0. This indicates that work is being done on the system and the system's kinetic energy is increasing.
The work done on the system is always positive when the applied force and the displacement of the system are in the same direction (AV > 0).
To understand this, let's consider the definition of work. Work is given by the dot product of the force vector (F) applied to the system and the displacement vector (d) of the system:
Work = F · d
The dot product of two vectors is positive when the angle between them is less than 90 degrees, indicating that they are in the same direction. When the force and displacement are in the same direction, the work done on the system is positive.
If the force and displacement are in opposite directions, the dot product will be negative, and the work done on the system will be negative (AV < 0). This would imply that work is being done by the system rather than on the system.
In the case where the applied force is zero (AV = 0), no work is done on the system as there is no force acting to cause a displacement.
The change in mechanical energy (AE) of the system being greater than zero (AE > 0) does not guarantee that the work done on the system is always positive. AE > 0 indicates that the system's mechanical energy has increased, but it doesn't provide information about the work done specifically. Therefore, the correct option is AV > 0.
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is √1/9 greater less than or equal to 1/4
Answer:
Greater:
\(\sqrt{1/9} > 1/4\)
Step-by-step explanation:
\(\sqrt{\frac{1}{9} } =\frac{\sqrt{1} }{\sqrt{3} } =\frac{1}{3}\)
1/3 is greater than 1/4
Hope this helps
A floor plan of the living room is shown below. If the carpet he chooses costs $27.50 per yard square, how much will the new carpet cost
Answer:
there is no picture,you need to add a pic
Two angles of a triangle add up to 65°. What is the measure of the third angle? 115° 295° 25° 55°
Answer:
115 degrees
Step-by-step explanation:
The third angle will measure 115° so option (A) will be correct.
What is a triangle?The three-sided shape known as a triangle is sometimes used to allude to it. Every triangle has three sides and three angles, some of which might be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Sum of all three internal angles of the triangle = 180°
Sum of two angles + third angle = 180°
Given that,
Two angles of a triangle add up to 65° so
65° + third angle = 180°
Third angle = 180 - 65°
Third angle = 112°
Hence the third angle will be 112° measure.
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HELP NEEDED PLEASE!!!! This math question confuses me. I thought the line didn't pass through any other point but I cant figure it out so please help me!
Answer:
B
Step-by-step explanation:
So wiggly, remember that slope is change in y/change in x, or in simpler terms, y/x. Thinking of this, y/x must simplyfy to -3. Or, you can think of it as -3/1.
So know that we have rewrote this as a slope of -3/1, lets use it. Where do we start? Well, we must start at point A, which is at 2 x and 7 y.
Now, going to the RIGHT(+1x) and going DOWN(-3y) we will go from 2x and 7y to 3x and 4y.
Are we on a point yet? Nope, lets do this again.
Now going to RIGHT again(+1x) and going DOWN again(-3y) we will go from 13x and 4y to 4x and 1y.
Are we on a point yet? Still no, lets try this one more time.
Now going to RIGHT again(+1x) and going DOWN again(-3y) we will go from 4x and 1y to 5x and -2y.
Are we on a point? YUP. We cna see that point B is at 5x and -2y.
Hope you get it right ;)
Use this utility function:
a(f, g) = 2√f + g
The price of good f is 2 and the price of good g is 1.
a) Calculate the optimal consumption bundle when income is 3/4
b) Calculate the optimal consumption bundle when income is 1/4
A consumer's optimal consumption bundle represents the best possible combination of goods and services that a consumer can purchase given their budget constraint and the prices of those goods. In this scenario, the utility function given is a(f, g) = 2√f + g
The price of good f is 2 and the price of good g is 1.
The consumer's income is 3/4 and 1/4 respectively. Using these, we can solve for the optimal consumption bundle for the consumer using the utility function.
a) To calculate the optimal consumption bundle when the income is 3/4, we can use the following method:
Let the optimal consumption bundle be represented as (x, y).
Here, x represents the quantity of good f consumed, and y represents the quantity of good g consumed.
The consumer's budget constraint can be given as follows:
2x + y = 3/4
The consumer's goal is to maximize their utility, which can be represented as:
a(f, g) = 2√f + g = 2√x + y
The consumer's optimization problem can be represented as follows:
Maximize 2√x + y subject to 2x + y = 3/4
To solve this optimization problem, we can use the Lagrangian function:
L(x, y, λ) = 2√x + y - λ(2x + y - 3/4)
To find the optimal consumption bundle, we must solve for the following set of equations:
∂L/∂x = 0,
∂L/∂y = 0, and
∂L/∂λ = 0
Solving for the first two equations yields the following:
x/√x = λ2y - λ
= 1
The third equation can be used to solve for λ:
2x + y - 3/4 = 0
Solving for x and y using the first two equations and the value of λ yields:
x = 1/2 and y = 1/4
Therefore, the optimal consumption bundle is (1/2, 1/4)
b) To calculate the optimal consumption bundle when the income is 1/4, we can use a similar method to the one used in part a.
Using the same budget constraint of 2x + y = 1/4 and the same utility function of 2√x + y, we can solve for the optimal consumption bundle by using the Lagrangian function L(x, y, λ) = 2√x + y - λ(2x + y - 1/4).
Solving for the same set of equations, we get:
x = 1/8 and y = 0
Therefore, the optimal consumption bundle is (1/8, 0)
Utility functions are mathematical representations of the satisfaction a consumer derives from consuming goods and services. A consumer's optimal consumption bundle represents the best possible combination of goods and services that a consumer can purchase given their budget constraint and the prices of those goods.In this question, we were given a specific utility function and the prices of two goods. We used this information to solve for the optimal consumption bundle when the consumer's income was 3/4 and 1/4 respectively.To solve for the optimal consumption bundle, we used the Lagrangian method to optimize the consumer's utility function subject to their budget constraint. The Lagrangian method involves creating a Lagrangian function that includes the consumer's utility function and their budget constraint. We then solve for the first-order conditions of the Lagrangian function, which are a set of equations that yield the optimal values of the goods consumed.This method is useful for solving for optimal consumption bundles because it takes into account both the consumer's preferences and their budget constraint. By solving for the optimal consumption bundle, we can determine how much of each good the consumer should consume to maximize their satisfaction given their budget constraint
Utility functions and optimal consumption bundles are important concepts in microeconomics. They allow us to understand how consumers make choices and how they allocate their resources. By solving for the optimal consumption bundle, we can determine the best combination of goods and services that a consumer can purchase given their budget constraint and the prices of those goods.
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Isaaq put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week? Please add an numerical explanation
Answer:
The answer is $159
Step-by-step explanation:
2b + 3 - Day 1
4b + 6 - Day 2
6b + 9 - Day 3
477=6b+9
-9 -9
468=6b
78=b
(2x78) + 3 = 159
The answer is $159
determine if the given set is a subspace of ℙ2. justify your answer. the set of all polynomials of the form p(t)=at2, where a is in ℝ.
The given subset satisfies all three conditions of a subspace, we can conclude that it is a subspace of ℙ2.
To prove this, we need to show that the set satisfies the three conditions of a subspace: closure under addition, closure under scalar multiplication, and contains the zero vector.
Let p(t) and q(t) be two polynomials of the form \(p(t) = at²\)and \(q(t) = bt²\), where a and b are real numbers. Then, the sum of these two polynomials is:
\(p(t) + q(t) = at² + bt²\)
\(= (a+b)t²\)
Since a+b is a real number, the sum of p(t) and q(t) is still of the form at² and thus belongs to the given set. Therefore, the set is closed under addition.
Now, let p(t) be a polynomial of the form \(p(t) = at²\) and c be a real number. Then, the scalar multiple of p(t) by c is:
\(c p(t) = c(at²) = (ca)t²\)
Since ca is a real number, the scalar multiple of p(t) by c is still of the form at² and thus belongs to the given set. Therefore, the set is closed under scalar multiplication.
Finally, the zero vector is the polynomial of the form \(p(t) = 0t² = 0\), which clearly belongs to the given set. Therefore, the set contains the zero vector.
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Write an equation of the line that passes through (1, 1) and (3, 3).
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 2 }{ 2 } \implies 1\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 1}(x-\stackrel{x_1}{1})\implies y-1=x-1\implies \boxed{y=x}\)
Answer: y=x+2
Step-by-step explanation: to find the slope use the formula y2-y1/x2-x1 which will get 3-1/3-1= 2/2= 1 so the slope is one. then take formula (y-y1)=m(x-x1) m is slope so you will get (y-3)=1(x-1) distribute the one y-3=x-1 add three to both sides to get y=x+2
Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy teh bike, he must give his sister $65 that he owes her. For how many weeks will steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
Answer:
18.3
Step-by-step explanation:
Select the correct answer from each drop-down menu. A group of men and women were given a maze puzzle. The time it took each person to solve the puzzle is recorded in the table. Completion Time for Men (seconds) Completion Time for Women (seconds) 285 285 120 335 185 251 76 88 172 131 220 54 147 217 277 94 285 270 337 94 75 77 160 178 140 180 257 223 264 177 204 112 80 230 121 188 79 108 364 119 256 205 94 88 97 180 125 103 85 122 176 337 136 The sample size of men is , and the sample size of women is . The mean time taken by to solve the puzzle is less than that taken by .
The mean time taken by to solve the puzzle is less than that taken by 180.4
We have,
The sample size for Men A is 19
The sample size for Women is B. 34.
As, mean time taken by B is less than A women.
Now, Mean of men
= sum of all 19 elements / 19.
= 164.7
and, Mean of Women
= sum of all 34 elements/ 34
= 180.4.
Thus, the mean time taken by Men is less than by Women.
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a box contains 4 red balls, 4 blue balls and 4 white balls. i extract 6 balls at once. what are the number of arrangements of 6 balls with 2 red balls and 2 blue balls ?
The number of arrangements of 6 balls with 2 red balls and 2 blue balls, we need to consider the number of ways to choose 2 red balls from the 4 available red balls and the number of ways to choose 2 blue balls from the 4 available blue balls.
These are both combinations, and we can use the formula for combinations to calculate them:
C(n, k) = n! / (k! (n-k)!).
For the red balls, C(4, 2) = 4! / (2! (4-2)!) = 6.
For the blue balls, C(4, 2) = 4! / (2! (4-2)!) = 6.
The total number of arrangements of 6 balls with 2 red balls and 2 blue balls is the product of the number of arrangements for each type of ball:
C(4, 2) * C(4, 2) = 6 * 6 = 36
So, there are 36 arrangements of 6 balls with 2 red balls and 2 blue balls.
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Find the slope of the line through each pair of points.
11) (-20, -4), (-12, -10)
Answer:
slope= -6/8 or -3/4
Step-by-step explanation:
(-10-(-4)/(-12-(-20)= -6/8
Can you help me please thank you
Solve the inequality
x2-x-12 < 0
+
Step-by-step explanation:
x2-x-12<0
x2-x<12
x=12
In a regression analysis, the error term ε is a randomvariable with a mean or expected value of
a) Zero
b) One
c) any positive value
d) any value
In a regression analysis, the error term ε is a random variable with a mean or expected value of zero. The correct option is a.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given:
Analysis is a regression analysis.
And the error term in regression analysis:
The error term, which refers to the total of the deviations within the regression line and explains the discrepancy between the theoretical value of the model and the actual observed results, denotes the margin of error inside a statistical model.
ε = Epsilon or error term.
The variation in the dependent variable that the independent factors do not explain is taken into account by the error term.
The values of the error term should be determined by random chance.
The average value of the error term must be equal to zero in order for your model to be impartial.
Therefore, error term is zero.
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What is the linear function equation represented by the graph?
please hurrrrrryyyy!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
f(x)=
Answer:
f
f(x) =-3/4x +2
Step-by-step explanation:
You have points (0,2) and (-4,5) Soo the slope is 5-2/-4-0 = 3/-4
Then f(x) = mx+b. So f(x) = -3/4x + 2 because the y intercept is (0,2).
Answer:
f(x)= -x+2
Step-by-step explanation:
Looking at the graph gives us this information:
SLOPE
you can see that for every 1 unit over, it goes one unit down.
slope = rise / run which would be -1/1 which is also just -1
INTERCEPT
the y intercept is 2
equations are typically written in y=mx+b form (where m is the slope and b is the intercept)
so we have y = -1x +2
you don't need to write the 1 because -1x is the same as -x
sof(x)= -x+2
For the piecewise function, find the values h(- 8), h(-3), h(2), and h(5). -2x 10, for x< -7 2. x+3, forx22 h(x) = for 7sx<2 h(-8) = h(-3) = h(2) = h(5)
The numeric values of the piece-wise function are given as follows:
h(-8) = 26.h(-3) = 16.h(2) = 4.h(5) = 7.How to calculate the numeric value of a function or of an expression?To obtain the numeric value of a function or of an expression, we replace each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression.
A piece-wise function is a function that has different definitions, based on the input interval of the function.
For x < 2, the function is defined as follows:
h(x) = -2x + 10.
Hence the numeric values on the interval are obtained as follows:
h(-8) = -2(-8) + 10 = 26.h(-3) = -2(-3) + 10 = 16.For x >= 2, the function is defined as follows:
h(x) = x + 2.
Hence the numeric values on the interval are obtained as follows:
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Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $2.50. Her total cost to produce 60 T-shirts is $210, and she sells them for $9 each. a. Find the linear cost function for Joanne's T-shirt production. b. How many T-shirts must she produce and sell in order to break even? c. How many T-shirts must she produce and sell to make a profit of $800 ?
Therefore, P(x) = R(x) - C(x)800 = 9x - (2.5x + 60)800 = 9x - 2.5x - 60900 = 6.5x = 900 / 6.5x ≈ 138
So, she needs to produce and sell approximately 138 T-shirts to make a profit of $800.
Given Data Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $2.50.
Her total cost to produce 60 T-shirts is $210, and she sells them for $9 each.
Linear Cost Function
The linear cost function is a function of the form:
C(x) = mx + b, where C(x) is the total cost to produce x items, m is the marginal cost per unit, and b is the fixed cost. Therefore, we have:
marginal cost per unit = $2.50fixed cost, b = ?
total cost to produce 60 T-shirts = $210total revenue obtained by selling a T-shirt = $9
a) To find the value of the fixed cost, we use the given data;
C(x) = mx + b
Total cost to produce 60 T-shirts is given as $210
marginal cost per unit = $2.5
Let b be the fixed cost.
C(60) = 2.5(60) + b$210 = $150 + b$b = $60
Therefore, the linear cost function is:
C(x) = 2.5x + 60b) We can use the break-even point formula to determine the quantity of T-shirts that must be produced and sold to break even.
Break-even point:
Total Revenue = Total Cost
C(x) = mx + b = Total Cost = Total Revenue = R(x)
Let x be the number of T-shirts produced and sold.
Cost to produce x T-shirts = C(x) = 2.5x + 60
Revenue obtained by selling x T-shirts = R(x) = 9x
For break-even, C(x) = R(x)2.5x + 60 = 9x2.5x - 9x = -60-6.5x = -60x = 60/6.5x = 9.23
So, she needs to produce and sell approximately 9 T-shirts to break even. Since the number of T-shirts sold has to be a whole number, she should sell 10 T-shirts to break even.
c) The profit function is given by:
P(x) = R(x) - C(x)Where P(x) is the profit function, R(x) is the revenue function, and C(x) is the cost function.
For a profit of $800,P(x) = 800R(x) = 9x (as given)C(x) = 2.5x + 60
Therefore, P(x) = R(x) - C(x)800
= 9x - (2.5x + 60)800
= 9x - 2.5x - 60900
= 6.5x = 900 / 6.5x ≈ 138
So, she needs to produce and sell approximately 138 T-shirts to make a profit of $800.
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A particle is moving along a spiral path defined by the equation r = a * e^(b * θ), where a and b are constants. Determine the velocity of the particle at a given value of θ.
Step-by-step explanation:
The velocity of the particle at a given value of θ can be found by taking the derivative of the position vector with respect to time:
v(θ) = dr/dt = dr/dθ * dθ/dt = dr/dθ * ω
where ω is the angular velocity and dr/dθ is the derivative of the position vector with respect to θ.
The position vector r = a * e^(b * θ) * i + a * b * e^(b * θ) * j
Taking the derivative with respect to θ:
dr/dθ = a * b * e^(b * θ) * i + a * b^2 * e^(b * θ) * j
So the velocity of the particle is given by:
v(θ) = a * b * e^(b * θ) * ω * i + a * b^2 * e^(b * θ) * ω * j
Answer:
Step-by-step explanation:
v(θ) = a * b * e^(b * θ) * ω * i + a * b^2 * e^(b * θ) * ω * jj
determine a region whose area is equal to the given limit. do not evaluate the limit.
The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.
What is a region whose area is equal to the given limit?Generally, the equation for the limit is mathematically given as
\($\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}$.\)
The goal is to locate the zone whose area corresponds to the value supplied by the limit.
The definite integral of a function is what is used to compute the area of that function that is underneath its graph.
The limit,
\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f(a+i \cdot \Delta x) \Delta x\)
where\($\Delta x=\frac{b-a}{n}$\) and \($x_{i}=a+i \Delta x$\) for the interval $[a, b]$, is equivalent to the integral
\(\int_{a}^{b} f(x) d x .\)
The given limit can also be written as
\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right)} i \cdot \frac{4}{n} .\)
In this limit, \($\Delta x=\frac{4}{n}$\). It can be observed that\($f(a+i \Delta x)=\sqrt{1+\left(\frac{4}{n}\right)} i$\) which implies that \($a=1$ and $f(x)=\sqrt{x}$.\)
Solve the \($\Delta x=\frac{b-a}{n}$\)equation for as follows:
\(\begin{aligned}\frac{4}{n} &=\frac{b-1}{n} \\4 &=b-1 \\5 &=b\end{aligned}\)
Therefore, the specified limit may be expressed as an integral as follows:
\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right) i} \cdot \frac{4}{n}=\int_{1}^{5} \sqrt{x} d x\)
Therefore, the limit that has been provided designates the area of the graph of "sqrt(x)" on the interval.[1,5]
However, none of the available choices are compatible with this choice. So, consider
\(a=0, f(x)=\sqrt{1+x}$ and $\Delta x=\frac{4}{n}$.\)
Find the value of $b$ as:
\($$\begin{aligned}\frac{4}{n} &=\frac{b-0}{n} \\4 &=b\end{aligned}$$\)
Find the value of x_{i} as:
\(\begin{aligned}&x_{i}=0+\frac{4}{n} i \\&x_{i}=\frac{4}{n} i\end{aligned}\)
$$
Thus, the integral \($\int_{0}^{4} \sqrt{1+x} d x$\) can be expressed using the equation \($\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x$\)
\(\begin{aligned}\int_{0}^{4} \sqrt{1+x} d x &=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\frac{4 i}{n} \frac{4}{n}} \\&=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}\end{aligned}\)
In conclusion, The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.
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CQ
The complete Question is attached below
the radius of a scooter wheel is 14cm. How many revolutions does the wheel make if the scooter travels 4.4km? take π=22/7
Please help my bro solve this.. i don't have time thanks
Answer:
5000
Step-by-step explanation:
in order to find how many revolutions, you need to find the circumference of the circle which is 2pi r.
thus, you will get this working out:
circum= 2 times 22/7 times 14
= 88cm
4.4 km = 440000cm
Then, 440000cm divide 88 cm =5000.
Thus, 5000 revolutions.
A person paid by the hour works 25 hours a week and makes $539. How much would they make if they work 54 hours? Learn This: Multiply 25 with 539 and 54 Round your answer to 2 decimal places
Therefore, if the person works 54 hours, they would make $1,163.04. Rounded to 2 decimal places, the answer is $1,163.00.
The decimal system employs ten decimal digits, a decimal mark, and a minus sign ("-") for negative quantities when writing numbers. The decimal digits are 0 through 9, with the dot (".") serving as the decimal separator in many (mainly English-speaking) nations and the comma (",") in others.
The fractional portion of the number is represented by the place value that follows the decimal. The number 0.56, for instance, is composed of 5 tenths and 6 hundredths.
We can use proportionality to solve this problem. If the person works 25 hours and makes $539, then their hourly rate is:
$539 ÷ 25 hours = $21.56 per hour
They would make if they work 54 hours, we can multiply their hourly rate by the number of hours worked:
$21.56 per hour × 54 hours = $1,163.04
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Someone please help with this!!!
Answer:
y=100x+18
Minutes included over the cost of plan
cost of plan starts
Step-by-step explanation:
The store sells 6 boxes of cupcakes $18. How much does 10 boxes of cupcakes cost?
Answer:
$30
Step-by-step explanation:
6 box = 18
1 box = 3
10 box = 30
The number of times the people in a group surveyed on the street have gone to the cinema this month are:
5, 5, 0, 8, 4, 5, 6, 4, 3, 5, 3, 5, 3, 7, 4, 3, 6, 7, 6, 2, 1, 4, 2, 0, 2
Fill in a frequency table and calculate the mean of the distribution.
Write an
equation of a line in slope-intercept form that passes through (5, 2) with a slope of -2.
Answer:
y=-2x+12
Step-by-step explanation:
This is an equation in slope-intercept form:
y=mx+b (where m is the slope and b is the y-intercept)
We are given the slope, -2.
y=-2x+b
We plug in the values (5,2):
2=(-2)*5+b
2=-10+b
b=12
The equation is:
y=-2x+12