2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School.
How many students at Hamilton Middle School have red hair?
Answer:
An estimated 3 out of every 25 men are left handed. Hence, 12 percent(%) of the men are left handed.
Step-by-step explanation:
Suppose you are charged a $10 per month base charge for your electrical service. You are also charged an additional $0.08 for every kwh of electricity you use. The cost is an example of a mixed cost. variable cost. fixed cost. step cost.
The cost described in the scenario is an example of a mixed cost.
A mixed cost consists of both fixed and variable components. In this case, the $10 per month base charge represents the fixed component of the cost. This charge remains constant regardless of the amount of electricity consumed. It covers the basic service and is not influenced by usage levels.
On the other hand, the additional charge of $0.08 per kilowatt-hour (kWh) of electricity used represents the variable component. This charge varies directly with the amount of electricity consumed. As more electricity is used, the variable cost increases proportionally.
By combining the fixed base charge and the variable charge per kWh, we get a mixed cost structure. The fixed component ensures a minimum cost for the service, while the variable component adds to the total cost based on actual usage. This combination of fixed and variable elements makes the cost a mixed cost.
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Find the slope of the line that passes through the points A(-3, 1) and B(2, -5).
Answer:
\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)
Determine an expression
for the width if the
length is known to
be 35 cm.
P = 21+ 2W
To determine an expression for the width if the length is known to be 35 cm and the perimeter is given by P = 21 + 2W, we can use the formula for the perimeter of a rectangle, which is P = 2L + 2W.
Since we know the length is 35 cm, we can substitute this value into the formula:
P = 2L + 2W
21 + 2W = 2(35) + 2W
21 + 2W = 70 + 2W
To solve for W, we can isolate the variable on one side of the equation:
21 = 70
21 - 2W = 70 - 2W
-2W = 49
W = -24.5
However, since the width cannot be negative, this answer is not valid.
To determine an expression for the width (W) when the length (L) is known to be 35 cm, we need to first understand the relationship between the perimeter (P) and the dimensions of the rectangle.
The formula for the perimeter of a rectangle is:
P = 2L + 2W
In this problem, we are given:
L = 35 cm
P = 21 + 2W
First, substitute the given values of L and P into the perimeter formula:
21 + 2W = 2(35) + 2W
Now, we need to solve for W:
1. First, simplify the equation by multiplying 2 by 35:
21 + 2W = 70 + 2W
2. To isolate W, subtract 2W from both sides of the equation:
21 = 70
However, this equation does not make sense, and there must be an error in the given information or the problem itself.
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Biscuits come in packages of 18 and bread comes in packages of 10. What is the least number of packages of each that can be bought to be able to make cake with no biscuits or bread left over?
Answer:
5 packages of biscuits and 9 packages of bread.
Step-by-step explanation:
18x5 = 90, and 9 x 10 = 90. If we use the least common denominator, then it would look like this:
18, 36, 54, 72, 90, 108, 126, 144, 162, 180
10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
Out of the two multiplication lines, the one common part about it would be 90, which is 5 away from the start for 18, and 9 away from the start for 10.
hope it helped
Answer:
5 packs of biscuits
9 packs of bread
Step-by-step explanation:
To find out how many of each one, you have to find their least common multiple:
18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
18*5 = 90
5 packs of biscuits
10*9 = 90
9 packs of bread
The radius of a circle is 17 inches. What is the circle's area?
Use 3.14 for л.
Answer:
Step-by-step explanation:
The formula for the area of a circle is:
A = πr^2
where A is the area, π (pi) is approximately 3.14, and r is the radius.
Substituting the given radius of 17 inches into the formula, we get:
A = 3.14 × 17^2
A = 3.14 × 289
A = 907.06
Therefore, the area of the circle is approximately 907.06 square inches.
Answer:
907.46
Step-by-step explanation:
Area of a circle formula is πr^2
It says the radius is 17
**Simplify**
(3.14)(17)^2=907.46
14. Jerry charges a fee of $45 plus $15 per hour to rent a motorbike. Write an equation to
calculate rental cost and tell what x and y mean. If you have $120 to spend, how long can you rent
for?
Answer:
5 hours, y= how much money it will cost, and x represents how many hours
Step-by-step explanation:
y= 15x+45
120= 15x+45
-45 -45
75= 15x
75/15×= 5 hours
The equation of the graphed line is 2x – y = –6. A coordinate plane with a line passing through (negative 3, 0) and (0, 6). What is the x-intercept of the graph? –3 –2 2 6 Mark this and return Save and Exit Next Submit
compute p(s90,000 ≤ 29, 500); express the result in decimals.
The probability of a normal distribution with a mean of 90,000 and a standard deviation of 29,500 being less than or equal to 29,500 is approximately 0.0202.
To compute this probability, we can use the standard normal distribution and transform the values accordingly:
z = (x - mu) / sigma
where:
x = 29,500
mu = 90,000
sigma = 29,500
Substituting the values, we get:
z = (29,500 - 90,000) / 29,500 = -2.0347
Using a standard normal distribution table or calculator, we can find that the probability of a value being less than or equal to -2.0347 is approximately 0.0202.
Therefore, the probability of a normal distribution with a mean of 90,000 and a standard deviation of 29,500 is less than or equal to 29,500 is approximately 0.0202.
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each load of laundry cost 6 quarters at the laundromat indepentdent and dependent varible which is dependent and independent?
5. This prism has a right triangle for a base. The volume of the prism is 54 cubic units.
What is the value of h?
units
4
A
C
5
h
D
B
If the volume is 54 cubic units, then the value of h must be 9 units.
What is the value of h?The volume of the triangular prism will be:
V = A*h
Where A is the area of the triangle face, we know that for a triangle of base B and height H is:
A = B*H/2
Looking at the image we can see that the base is 4 units and the hypotenuse is 5 units, then the height is:
height = √(5² - 4²) = 3
Then the area is:
A = 4*3/2 = 6 square units.
We know that the volume of the prism is 54 cubic units, then:
54 cubic units = (6 square units)*h
(54 cubic units)/(6 square units) = h
9 units = h
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What is the value of 742 + 16/42
Answer:
742,380952381
Step-by-step explanation:
16/42 is done before the sum bc of the jerarquy
A doctor advises a patient not to consume more than 8.5 × 10−2 kg of sugar per day. Coca cola
contains 110 g/L sugar. How many 12 oz cans of Coca cola can the patient consume? Show your work.
The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.
To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.
Provided:
Sugar limit: 8.5 × 10^(-2) kg
Coca Cola sugar content: 110 g/L
Volume of a 12 oz can: 12 oz (which is approximately 355 mL)
First, let's convert the sugar limit from kilograms to grams:
Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g
Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:
Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L
Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g
Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:
Number of cans = Sugar limit / Amount of sugar in a can
Number of cans = 85 g / 39.05 g ≈ 2.18
Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.
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HELP PLEASE. A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of
3 feet. What is the length of the bed?
Options:
A: 40
B: 1
C: 3
D: 10
Answer:
D
Step-by-step explanation:
Volume = lwh
120 = l(4)(3)
l = 10 feet
The perimeter of a rectangle bathroom mirror is 24 feet . The mirror is 10 feet wide how tall is it
Using the substitution method, find the solution to this system of equations. Be sure to show your work!
-2x+2y=7
-x+y=4
please show a breakdown of the equation and a correct answer! thanks.
Answer:
To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.
-x + y = 4
y = x + 4
Now we can substitute this expression for y into the first equation and solve for x.
-2x + 2(x + 4) = 7
-2x + 2x + 8 = 7
8 = 7
The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.
Therefore, the solution to the system of equations is "No solution."
Note: Please be sure to double-check your work to avoid mistakes.
Step-by-step explanation:
Hope this helps you!! Have a wonderful day/night!!
help, A or B! pic is below
Answer:
I think b
Step-by-step explanation:
using a calculator,find the value of each mathematical statement.
PLSSS HELP
The exponents are solved below\
What are exponents?
Exponentiation is a mathematical process denoted by the symbol bn that involves two integers, the base b and the exponent or power n, and is spoken as "b (raised) to the (power of) n." Exponentiation corresponds to repeated multiplication of the base when n is a positive integer: bn is the product of multiplying n bases. Typically, the exponent is displayed as a superscript to the right of the base. In such scenario, bn is referred to as "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or, more succinctly, "b to nth." In other words, when a base raised to one exponent is multiplied by the same base raised to another exponent, the exponents accumulate.
The exponents are solved as follows
(10⁻²)⁹ = 10⁻¹⁸ = 1/10¹⁸
10⁻³ - 10⁻⁸ = 1/10³ - 1/10⁸ = (10⁵ - 10⁸)/10⁸ = 9.9999x10⁻⁴
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Edward bought 4 t-shirts and 3 pairs of socks for $37. Zach bought 2 pairs of socks and 5 t-shirts for $41. How much does a pair of socks cost?
Answer:
3$
Step-by-step explanation:
Let x be t-shirts and y socks.
4x + 3y= $37
2y + 5x= $41
x= (37 - 3y) ÷ 4
2y + 5((37-3y)÷4)=41
y=3
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, determine which store would cost less after all discounts, taxes, and shipping fees have been applied.
Item Quantity Physical Store Online Store
Batteries 2 packs $5.99/pack $4.99/pack
Stereo 1 system $100.00/system $90.00/system
CDs 3 CDs $7.95/CD $8.95/CD
It would cost less to purchase the items from the physical store.
There is not enough information given.
The cost will be same at both stores.
Answer:
the answers will be the cd part because it's part the cost
how do you write 100 s a fraction, mixed number, or whole number
Will Mark Brainliest! Lot’s of points!
Mrs. Smith wants to add a 2 feet concrete walkway around the edge of the pool.
Write a polynomial expression, in simplified form, that represents the total area of the pool and the walkway. Show and explain how you got the area of the pool and the walkway. 
To find the total area of the pool and the walkway, we can add the areas of the pool and the walkway together.
Let's assume that the pool has dimensions of length L and width W, and that the walkway has a uniform width of 2 feet all around the pool. This means that the dimensions of the pool plus the walkway will be (L + 4) feet by (W + 4) feet, since we add 2 feet on each side.
The area of the pool alone is given by L x W. The area of the pool plus the walkway is then given by (L + 4) x (W + 4). To simplify, we can use FOIL (First, Outer, Inner, Last) method to expand the expression:
(L + 4) x (W + 4) = LW + 4L + 4W + 16
Therefore, the polynomial expression that represents the total area of the pool and the walkway is:
A(L,W) = LW + 4L + 4W + 16
where A(L,W) is the total area of the pool and walkway as a function of the pool's length and width.
1.Start by assuming that the pool has dimensions of length L and width W, in feet.
2.Since Mrs. Smith wants to add a 2-foot walkway around the edge of the pool, we need to add 2 feet to both the length and width of the pool to get the dimensions of the pool plus the walkway. This means that the dimensions of the pool plus the walkway are (L + 2) feet by (W + 2) feet.
3.To find the area of the pool alone, we can simply multiply the length by the width: A_pool = L x W.
4.To find the area of the pool plus the walkway, we need to multiply the length and width of the larger rectangle that includes both the pool and the walkway. This rectangle has dimensions of (L + 2) feet by (W + 2) feet. Therefore, the area of the pool plus the walkway is:
A_total = (L + 2) x (W + 2)
5.We can simplify this expression by using the distributive property of multiplication. We first multiply L by W to get LW. Then, we multiply L by 2 and W by 2 to get 2L and 2W, respectively. Finally, we add 2 x 2 = 4 to account for the extra area added by the walkway. Therefore, the total area of the pool plus the walkway can be written as:
A_total = LW + 2L + 2W + 4
6.Finally, we can rewrite this expression as a polynomial in standard form, by rearranging the terms in descending order of degree:
A_total = LW + 2L + 2W + 4
= LW + 2L + 2W + 0x² + 4
= 0x² + LW + 2L + 2W + 4
So the polynomial expression that represents the total area of the pool and the walkway is:
A(L,W) = LW + 2L + 2W + 4
where A(L,W) is the total area of the pool and walkway as a function of the pool's length and width.
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Lieutenant Commander Data is planning to make his monthly (every 30 days) trek to Gamma Hydha City to pick up a suory of s chips. The trip will take Data about five days. Before he leaves, he calls in the order to the GHC Supply Store Hea average rate of four per day (seven days per week) with a standard deviation of demand of three per Gay He service probability. a. If he currently has 25 chips in inventory, how many should he order? b. What is the most he will ever have to order?
a) Data should order 575 chips if he currently has 25 chips in inventory. b) The most he will ever have to order is 35 chips.
To determine the optimal order quantity for Lieutenant Commander Data, we can use the following approach:
a) If Data currently has 25 chips in inventory, he needs to calculate the reorder point, which is the number of chips he should order to meet the demand during the lead time. The reorder point can be calculated as follows:
Reorder Point = Average Daily Demand * Lead Time
Average Daily Demand = Average Rate per Day * Number of Days
Given:
Average Rate per Day = 4 chips
Lead Time = 5 days
Average Daily Demand = 4 chips * 30 days = 120 chips
Reorder Point = 120 chips * 5 days = 600 chips
Therefore, if Data currently has 25 chips in inventory, he should order 600 - 25 = 575 chips to meet the demand during the lead time.
b) To determine the maximum quantity Data will ever have to order, we need to consider the worst-case scenario where the demand is at its highest during the lead time. The worst-case demand can be calculated as follows:
Worst-Case Demand = (Average Daily Demand + Standard Deviation of Demand) * Lead Time
Given:
Standard Deviation of Demand = 3 chips
Worst-Case Demand = (4 chips + 3 chips) * 5 days = 35 chips
Therefore, the most Data will ever have to order is 35 chips.
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Twenty students participated in a psychology experiment which measured their heart rates in two different situations.
Which situation shows greater variability?
Twenty students participated in a psychology experiment which measured their heart rates in two different situations.[75,100] situation shows greater variability.
f(75)=1
f(80)=4
f(90)=5
f(95)=4
f(100)=1
The measure of center should be median as the data is a bit scattered whereas the measure of variability should be the range of it.
Mean should be the measure of center as the data is concentrated in the middle the most whereas the standard deviation should be the measure of variability.
How far apart points are from one another and from the center of a distribution or a data collection is shown by variability. Spread, scatter, and dispersion are other terms for variation.
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Use the Integral Test to determine whether the series is convergent or divergent.
[infinity] n
n2 + 6
n = 1
Evaluate the following integral.
[infinity] 1
x
x2 + 6
dx
The series ∑ₙ=₁ to ∞ (n/n² + 6) is divergent.
To determine whether the series ∑ₙ=₁ to ∞ (n/n² + 6) is convergent or divergent, we can use the Integral Test.
The Integral Test states that if f(x) is a continuous, positive, and decreasing function on the interval [1, ∞) and f(n) = aₙ for all positive integers n, then the series ∑ₙ=₁ to ∞ aₙ and the integral ∫₁ to ∞ f(x) dx either both converge or both diverge.
In this case, let's consider the function f(x) = x/(x² + 6). We can check if it meets the conditions of the Integral Test.
Positivity: The function f(x) = x/(x² + 6) is positive for all x ≥ 1.
Continuity: The function f(x) = x/(x² + 6) is a rational function and is continuous for all x ≥ 1.
Decreasing: To check if the function is decreasing, we can take the derivative and analyze its sign:
f'(x) = (x² + 6 - x(2x))/(x² + 6)² = (6 - x²)/(x² + 6)²
The derivative is negative for all x ≥ 1, which means that f(x) is a decreasing function on the interval [1, ∞).
Since the function f(x) = x/(x² + 6) satisfies the conditions of the Integral Test, we can evaluate the integral to determine if it converges or diverges:
∫₁ to ∞ x/(x² + 6) dx
To evaluate this integral, we can perform a substitution:
Let u = x² + 6, then du = 2x dx
Substituting these values, we have:
(1/2) ∫₁ to ∞ du/u
Taking the integral:
(1/2) ln|u| evaluated from 1 to ∞
= (1/2) ln|∞| - (1/2) ln|1|
= (1/2) (∞) - (1/2) (0)
= ∞
The integral ∫₁ to ∞ x/(x² + 6) dx diverges since it evaluates to ∞.
According to the Integral Test, since the integral diverges, the series ∑ₙ=₁ to ∞ (n/n² + 6) also diverges.
Therefore, the series ∑ₙ=₁ to ∞ (n/n² + 6) is divergent.
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Incomplete question:
Use the Integral Test to determine whether the series is convergent or divergent.
∑ₙ=₁ to ∞ = n/n² + 6
Evaluate the following integral ∫₁ to ∞ x/x²+6 . dx
\(\left \{ {{x=3} \atop {y+1=0}} \right.\) solve graphically this linear system of equations
Answer:
The solution is the point (3, -1)
Step-by-step explanation:
We have the system of equations:
x = 3
y + 1 = 0
To solve this graphically, we need to graph these two lines and see in which point the lines intersect.
To graph the line x = 3, we need to draw a vertical line that passes through x = 3.
To graph y + 1 = 0
First we should isolate y.
y = -1
This is graphed as a horizontal line that passes through y = -1
The graph of these two lines can be seen in the image below.
Where the green line is x = 3, and the blue line is y = -1
Now, looking at the graph we can see that the lines do intersect in the point (3, -1)
Then the solution of the system is the point (3, -1)
Simon bought a new laptop for $800 during the cyber monday sale. He paid $200 up front and will pay $60 a month until the balance is paid off. Fin the number of months ut will take simon to pay off his laptop?
Answer:
7 monthsStep-by-step explanation:
Step one:
given data
the cost of the laptop= $800
initial payment= $200
monthly payment = $60
let the number of months be x
the expression for the situation is the function for the equation of line
y=mx+c
Step two:
the expression for the situation is
800=200+60x
solve for x
800-200=60x
400=60x
divide both sides by 60
x=400/60
x=6.7
Approximately 7 months
How many time does 3 go into 4677?
3 goes into 4,677, 1559 times!!
Hope this helps!!!
Love: Madoriya~ <3
Answer:
x= 1559
Step-by-step explanation:
3x= 4677
x=4677/3
x=1559
In interpreting effect size, what is the meaning of effect size at 0.3?
a. small effect size
b. medium effect size
c. large effect size
d. weak effect size
In interpreting effect size, the meaning of effect size at 0.3 is small effect size. So, the correct answer is A).
In interpreting effect size, an effect size of 0.3 is typically considered to be a small effect size. This means that there is a small but still measurable difference or relationship between two variables.
The interpretation of effect size can vary depending on the context and the discipline in which it is being used, but as a general rule, effect sizes of 0.2 or smaller are considered small, effect sizes of 0.5 are considered medium, and effect sizes of 0.8 or larger are considered large. Therefore, an effect size of 0.3 falls in the small effect size range. So, the correct option is A).
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what is the average rate of change CAN SOMEONE PLEASE ANSWER THIS QUESTION I WILL BRAINLIEST
=======================================================
Explanation:
The x interval [0,3] is the same as writing \(0 \le x \le 3\)
It starts at x = 0 and ends at x = 3.
The graph shows that x = 0 leads to y = 3. So we have the point (0,3) on the parabola. We also have the point (3,-3) on the parabola.
Let's find the slope of the line through these endpoints.
\((x_1,y_1) = (0,3) \text{ and } (x_2,y_2) = (3,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-3 - 3}{3 - 0}\\\\m = \frac{-6}{3}\\\\m = -2\\\\\)
The slope is -2. This is the average rate of change from x = 0 to x = 3.
This is because:
slope = rise/run = (change in y)/(change in x) = average rate of change.
-------------
Now let's find the slope for the table.
Focus on the rows for x = 0 and x = 3. They lead to f(x) = 10 and f(x) = 4 respectively.
We have (0,10) and (3,4) as our two points this time.
\((x_1,y_1) = (0,10) \text{ and } (x_2,y_2) = (3,4)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{4 - 10}{3 - 0}\\\\m = \frac{-6}{3}\\\\m = -2\\\\\)
We get the same slope as before, so we have the same rate of change.
Notice the change in y (-6) is the same as before. So we could pick any two y values we want as long as there's a gap of 6 between them, and the second y value is smaller than the first.