Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
At East Middle School, 25% of the 60 students Mrs. White teaches buy their lunches in the cafeteria. How many students purchase their lunch in the cafeteria?
Answer:
15
Step-by-step explanation:
Whenever you see 25% of something, divide the original number by four. Because 25x4=100, you can use this equation. 25% of something is always your original number divided by four. In this case, the original number is 60. 60 divided by four is 15.
find the slope of the given line in the equation:
given:y=1/3x -3
Answer:
1/3
Step-by-step explanation:
y=mx+b
m= Slope
So, 1/3 is the slope.
DUE SOON
Which of the following pairs of coordinates will have a slope that is defined? Select all that apply.
Answer:
(7, -8), (-7, -8) and (-7, 9), (7, 9)
Step-by-step explanation:
Well the only time when the slope is undefined, is when we have a vertical line. This means the x-values are all the same, and y-values are different.
So to have a defined slope, the two points must have different x-values, since if they do have the same x-value, the slope equation becomes: \(\frac{y_2-y_1}{x_2-x_1}\implies\frac{y_2-y_1}{0}\) since the x-values are the same so subtracting them gets a 0 in the denominator.
The only two pairs here with different x-values are (7, -8), (-7, -8)
and the pair (-7, 9), (7, 9)
Help!! Will give the amazing crown!!
Answer:
\( - \frac{58}{20} < - \sqrt{8} < \frac{17}{22} < 0.78\)
Step-by-step explanation:
There you go, have a good day
What is the image of ( − 8 , − 4 ) after a dilation by a scale factor of 1 4 4 1 centered at the origin?
The image of the point after the dilation is (-2, -1)
What is dilation?Dilation is the process of altering the side length of a shape or a function
How to determine the image of the points?From the question, the given parameters are:
Point = (-8, -4)
The scale factor of dilation is given as
Scale factor = 1/4
Mathematically, this transformation can be represented as
(x, y) = k(x, y)
Where k = 1/4 i.e. the scale factor
So, we have
(x, y) = (kx, ky)
This gives
(x, y) = (1/4x, 1/4y)
When represented as an equation, we have
Image = 1/4 * Point
Substitute the equation Point = (-8, -4) in the equation Image = 1/4 * Point
So, we have the following equation
Image = 1/4 * (-8, -4)
Evaluate the product
Image = (-2, -1)
Hence, the image is (-2, -1)
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»
Which operation should be completed first to find the value of the expression
below?
12 + 30 = (6 - 3) +1
12 + 30
30 : 6
6 - 3
3+1
The operation that should be completed first to find the value of the expression is 6 - 3
How to determine the first expression?The equation is given as:
12 + 30 = (6 - 3) +1
By the rule of BODMAS, the first expression that should be evaluated is the expression in the bracket
This means that we solve for 6 - 3, first.
Hence, the operation that should be completed first to find the value of the expression is 6 - 3
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The diameter of a circle is 18 in. Find its area in terms of
π
π.
Answer: 81 π.
Step-by-step explanation: To find the area of a circle, you need to multiply the circle's radius squared by pi. However, this problem is in terms of pi, so we're just going to find the radius squared. We're given the diameter, but we can simply cut it in half since the radius is half the diameter. The diameter for this circle is 18, so divide 18 by 2, and 9 is your radius. 9^2 is 81, so 81 π is your answer in terms of pi because when you find the radius squared, you put pi next to it.
Have a great day! :)
Answer: the area is 81π
Step-by-step explanation:
The formula is A=πr
^{2}
The raidius would be 9 (18/2)
A=π9^{2}
π x 9^{2} = 81π
Decimal form: 254.469004941
(Q2) The set of line segments _____ meet the requirements to form a triangle.8 cm4 cm3 cm
To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.
We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.
In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.
In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.
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Please how do we solve this? Fast
Answer:
option B ................
is the correct answer
You have a balance of 17,426 on your credit card. Your minimum monthly payment is 461 . If your interest rate is 15.5%, how many years will it take to pay off your card assuming you don't add any debt? Enter your response to two decimal places (ex: 1.23)
With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.
To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.
To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).
We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.
In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).
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What is the sum of all the angles that are labeled?
Image of three angles around a single vertex. One angle is fifty five degrees, one is sixty four degrees, and one is one hundred seventy five degrees.
The sum of all the angles that are labeled in the given vertex is 294°
In a single vertex, the three angles around the vertex are given as 55°, 64°, and 175°
We have to find the sum of all the angles that are labeled in the given single vertex.
What is a vertex?A vertex is a point two or more lines meets.
It is the corner of a geometrical shape.
Example:
A square has 4 corners so it has 4 vertexes.
A cube has 8 corners so it has 8 vertexes.
We will add all the different angles in the single vertex as shown in the figure below.
Let,
Angle A = 55°
Angle B = 64°
Angle C = 175°
The sum of all the angles that are labeled is:
= Angle A + Angle B + Angle C
= 55° + 64° + 175°
= 294°
The sum of all the angles that are labeled in the given vertex is 294°
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$52,390
5) Choose the correct answer.
Wes had to drive to a training workshop in a city 475 miles away from his home. He
was paid $0.55 per mile both ways and was also given a motel and meal allowance of
$175 per day for the five-day workshop. How much was he paid for attending this
workshop?
$436.25
$727.00
$1,397.50
$1,136.25
Answer:
436.25 I think
Step-by-step explanation:
About 32,000 people in a region with an area 201 square miles. Find the population density in a people per square mile.
The population density of the people living in the given square area would be = 159.20 persons pre square miles.
What is population density?Population density can be defined as the amount of people that can be found in a unit area of a land.
Population density is found by dividing the total population by the total land area.
The total population of the region = 32,000 people
The total land area = 201 miles².
Therefore the population desity = 32,000/201 = 159.20 persons pre square miles.
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Construct a truth table to verify the implication is true. p⇒p→q
The truth table, p⇒(p→q) is evaluated by checking if p→q is true whenever p is true. If p→q is true for all combinations of p and q, then p⇒(p→q) is true. In this case, we can see that for all combinations of p and q, p⇒(p→q) is true. Therefore, the implication is true.
To construct a truth table for the implication p⇒(p→q), we need to consider all possible combinations of truth values for p and q.
Let's break it down:
p: True | False
q: True | False
We can then construct the truth table based on these combinations:
| p | q | p→q | p⇒(p→q) |
|-----|-----|-----|---------|
| True | True | True | True |
| True | False | False | False |
| False | True | True | True |
| False | False | True | True |
In the truth table, p⇒(p→q) is evaluated by checking if p→q is true whenever p is true. If p→q is true for all combinations of p and q, then p⇒(p→q) is true. In this case, we can see that for all combinations of p and q, p⇒(p→q) is true. Therefore, the implication is true.
Note: In general, the implication p⇒q is true unless p is true and q is false. In this case, p⇒(p→q) is always true because the inner implication (p→q) is true regardless of the truth value of p and q.
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IV Find the citical points at which profit (pie) is maximized given the total revenue TR=4700−302 and Total CostTC =320/10,500 (2pts) 1. Compute Marginal Revenue and Marginal Cost 2. Equate MR=MC to find Q
∗
3. Verify that Q* is a relative maximum point 4. Compute the maximum profit level (pie) )
∗
by establishing (pie)* =9( (pie) (Q
∗
)
To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).
Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.
Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.
To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.
Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.
Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).
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PLSSSSS HELLLPPOBDNSNSNS
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Because all the other ones are equal to x < -5/3 while only B wasn't and it was x > -5/3
The volume of this cone is 643,072 cubic inches. What is the radius of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius of the cone is 783.84/√h
What is volume of a cone?A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
The volume of a cone is expressed as;
V = 1/3πr²h
643072 × 3 = 3.14 × r²h
r²h = 614400
r² = 614400/h
r = 783.84/√h
therefore the radius of the cone is 783.84/√h
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4.) How much distance did the object travel during the entire trip? 5.) How long did the trip take? 6.) What is the average speed for the entire trip?
The total distance travelled by the object during the entire trip is 21.21 units and the average speed of the object for the entire trip is 21.21 units/unit time. Time = 21.21/Average Speed
What is motion?It is known as the process of an object or particle changing its position over time. Motion can be described by equations of motion which allow us to predict and understand the motion of objects and particles in a variety of situations.
The given graph shows the motion of an object starting at point A (15, 5) and ending at point D (0, 30).
The total distance travelled by the object can be calculated using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the formula:
Distance = √((x2 – x1)² + (y2 – y1)²)
Therefore, the total distance travelled by the object in the graph is:
Distance = √((0 – 15)² + (30 – 5)²)
Distance = √(225 + 225)
Distance = √450
Distance = 21.21 units
The total time taken by the object to travel the given distance can be calculated using the equation:
Time = Distance/Speed
Since the speed of the object is not given, we can calculate the average speed of the object by dividing the total distance travelled by the total time taken.
Time = 21.21/Average Speed
Therefore, the average speed of the object for the entire trip can be calculated as:
Average Speed = 21.21/Time
The time taken by the object to travel the given distance is not given, so we can assume it to be 1 unit.
Therefore, the average speed of the object for the entire trip is:
Average Speed = 21.21/1
Average Speed = 21.21 units/unit time
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d) A square pyramid has a base with area of 40 cm2 and a volume of 100 cm
What is the height of the pyramid?
Answer:
2.5
Step-by-step explanation:
I NEED HELP ON THIS ASAP!
The possible locations of the vertice D such that the trapezoid ABCD is created are;
(3, 2), (3, 7)
What is a trapezoid?A trapezoid is a quadrilateral with one pair of parallel sides.
The location of the vertex D is between vertices A and C
When AD is parallel to BC, we get;
Slope of AD = Slope of BC
Slope of BC = (-1 - 1)/(-1 - (-5)) = -2/4 = -1/2
The point, D, obtained from point A is therefore;
-(1/2) = (y - 5)/(x - (-3)) = (y - 5)/(x + 3)
-(1/2) = (y - 5)/(x + 3)
2·y - 10 = -x - 3
2·y = -x - 3 + 10 = -x + 7
2·y = -x + 7
y = -x/2 + 7/2 = -x/2 + 3.5
y = -x/2 + 3.5
The possible points are therefore;
When x = 3, y = -3/2 + 3.5 = 2
A possible location of the point D is therefore; (3, 2)When CD is parallel to AB, we get;
Slope of AB = (5 - 1)/(-3 - (-5)) = 4/2 = 2
The slope of CD is therefore; (y - (-1))/(x - (-1)) = 2
(y + 1)/(x + 1) = 2
y + 1 = 2 × (x + 1)
y = 2·x + 2 - 1 = 2·x + 1
y = 2·x + 1
The possible location of point D is therefore; When x = 3, y = 2×3 + 1 = 7
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10) m/B= 131°, a = 7 m, b = 38 m
Find m/A
Answer:
The largest cities to live is the best time of day to school and have them too the largest country to the largest population of the united of Omaha NE to my answer is the largest the world and have a great hhbkj the largest country in movementThe functions g and h are such that g(x)=2x+5 and h(x)=ax+b
the answer is : a=9 and b=-1
change the denominator of the fraction a+3/6-2a to 2(a^2-9)
The answer of the given question based on the changing the denominator of fraction the answer is the fraction a+3/6-2a can be rewritten with a denominator of 2(a²-9) as (3 + a)/(2(a - 3)).
What is Formula?In mathematics, formula is mathematical expression or equation that describes relationship between two or more variables or quantities. A formula can be used to solve problems or make predictions about particular situation or set of data.
Formulas often involve mathematical symbols and operations, like addition, subtraction, multiplication, division, exponents, and square roots. They may also include variables, which are typically represented by letters, and constants, which are fixed values that do not change.
To change the denominator of the fraction a+3/6-2a to 2(a²-9), we need to factor the denominator of the original fraction and then use algebraic manipulation to rewrite it in the desired form.
First, we can factor the denominator of the original fraction as follows:
6 - 2a = 2(3 - a)
Next, we can rewrite the denominator using the difference of squares formula:
2(a² - 9) = 2(a + 3)(a - 3)
Now, we can use the factored form of the denominator to rewrite the original fraction:
(a + 3)/(6 - 2a) = (a + 3)/(2(3 - a)) = -(a + 3)/(-2(a - 3)) = (3 + a)/(2(a - 3))
Therefore, the fraction a+3/6-2a can be rewritten with a denominator of 2(a²-9) as (3 + a)/(2(a - 3)).
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What is 576/9 simplified?
Answer:
It is 64. Pls mark me as brainliest.
Step-by-step explanation:
You divide.
576÷9=64
576÷9
9÷9=1
64/1
or
64
There both the same.
Answer:
Reduce 576/9 to lowest terms
The simplest form of
576 /9 is 64/1
Step-by-step explanation:
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 576 and 9 is 9
Divide both the numerator and denominator by the GCD
576 ÷ 9
9 ÷ 9
Reduced fraction:
64 /1
Therefore, 576/9 simplified to lowest terms is 64/1.
Nolan has five more quarters and dimes and seven fewer nickels and dimes. He has 25 coins. How many of each coin does he have? How much money in dollars and cents is it worth?
Answer:
9 dimes, 4 nickels, 12 quarters
90 cents + 20 cents + 300 cents = 410 cents = $6.83
Step-by-step explanation:
q=5+d
n=d-7
q+n+d=25
5 + d + d - 7 + d = 25
3d-2=25
3d=27
d=9
25 - 9 = 16 nickels and quarters
q + n = 16 ---> q=16-n
n=d-7 ---> d=n+7
q=5 + n + 7
q=n+12
n+12 = 16-n
2n=4
n=4
25-(9+4)= 12 quarters
He has 2 nickels, 9 dimes, and 14 quarters, with a total value of $4.50
Step-by-step explanation:I am going to assume that the "and" in "five more quarters and dimes" and the "and" in "seven fewer nickels and dimes" is actually "than" because otherwise, there is no context in this question. If my answer is incorrect, please tell me how to correctly interpret this question.
In this scenario, the "and" in "five more quarters and dimes" and the "and" in "seven fewer nickels and dimes" is actually "than."
Amount of nickels - x
If there are seven fewer nickels than dimes, the amount of dimes is x + 7. There are five more quarters than dimes, so the amount of quarters is x + 7 + 5, which equals x + 12.
x + x + 7 + x + 12 = 253x + 19 = 253x = 6x = 2
Therefore, there are 2 nickels. Now we must figure out the number of quarters and dimes.
x + 7 = 9
x + 12 = 14
There are 9 dimes and 14 quarters.
Nickels are each worth 5 cents. 2 times 5 is 10 cents.
Dimes are each worth 10 cents. 9 times 10 is 90 cents.
Quarters are each worth 25 cents. 14 times 25 is 350 cents.
Now, we add. 10 + 90 + 350 = 100 + 350 = 450.
REMEMBER, THIS IS IN CENTS. WE MUST STILL CONVERT IT INTO DOLLARS.
450 divided by 100 is $4.50
The purchased cost of a 5-m3 stainless steel tank in 1995 was $10,900. The 2-m-diameter tank is cylindrical with a flat top and bottom. If the entire outer surface of the tank is to be covered with 0.05-m-thickness of magnesia block, estimate the current total cost for the installed and insulated tank. The 1995 cost for the 0.05-m-thick magnesia block was $40 per square meter while the labor for installing the insulation was $95 per square meter.
The estimated current total cost for the installed and insulated tank is $12,065.73.
The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:
surface_area = 2 * pi * r * h + 2 * pi * r^2
where:
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:
surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586
The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:
surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293
The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:
cost = 6.806032934459293 * (40 + 95) = $1,165.73
The original cost of the tank was $10,900, so the total cost of the insulated tank is:
cost = 10900 + 1165.73 = $12,065.73
Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.
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Assume there is a sample of n
1
=4, with the sample mean
X
1
=35 and a sample standard deviation of S
1
=4, and there is an independent sample of n
2
=5 from another population with a sample mean of
X
ˉ
2
=31 and a sample standard deviation S
2
=5. In performing the pooled-variance t test, how many degrees of freedom are there? There are degrees of freedom. (Simplify your answer.)
There are 7 degrees of freedom.
In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)
Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7
Therefore, there are 7 degrees of freedom.
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There are 7 degrees of freedom for the pooled-variance t-test.
To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:
\(\[\text{{df}} = n_1 + n_2 - 2\]\)
where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.
In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:
\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)
In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.
To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.
In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.
Therefore, there are 7 degrees of freedom for the pooled-variance t-test.
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Hidden Clue
Pls help due tomorrow in first period
HELPPPPPPP PPPPPLLLLLSSSSS
Using mensuration, we can get the values as:
A) 7.5
B) -14/5
C) -21.9/2
D) -23/20
E)-9.3/2
F) 32/5
G) -9.53
H) 72.2
I) -11/2
J) 9.38
K) -5.9/2
L) 7.14
M) -0.58
N) 4.72
Mensuration can be defined as a measurement action. Our world is three dimensional. Both elementary school mathematics and secondary school mathematics heavily rely on the idea of measurement.
Also, measuring is directly related to our daily life. When we learn to measure items, we practise measuring both 2D and 3D shapes. Both conventional and nonconventional units of measurement can be used to determine the size of objects or quantities.
Here in the question, using normal multiplication, division. addition and subtraction we can get the following results:
A) 7.5
B) -14/5
C) -21.9/2
D) -23/20
E)-9.3/2
F) 32/5
G) -9.53
H) 72.2
I) -11/2
J) 9.38
K) -5.9/2
L) 7.14
M) -0.58
N) 4.72
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WILL GIVE BRAINLIEST PLEaSE HElP
Answer:
x ≤ 15
Step-by-step explanation:
rewrite 17/20 and 13/15 so that they have a common denominator.
Answer:
51/60, 52/60
Step-by-step explanation:
20 and 15 are 5×2×2 and 5×3. The smallest common denominator would be 5×2×2×3=60.