Julia will use 10 groups to arrange all of the CDs.
To determine the number of groups Julia will use to arrange all of the CDs, we need to find the greatest common divisor of the numbers 215, 125, and 330.
First, we can check if any of the numbers are divisible by 5:
215 is not divisible by 5
125 is divisible by 5 (125 ÷ 5 = 25)
330 is divisible by 5 (330 ÷ 5 = 66)
Now we divide 125 and 330 by 5:
125 ÷ 5 = 25
330 ÷ 5 = 66
Next, we check if any of the numbers are divisible by 2:
25 is not divisible by 2
66 is divisible by 2 (66 ÷ 2 = 33)
Now we divide 66 by 2:
66 ÷ 2 = 33
Therefore, the greatest common divisor of 215, 125, and 330 is 5 × 2 = 10.
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Find the total surface area of the net bellow
1. 102.4 cm2
2. 357.4 cm2
3. 22.4 cm2
4. 3502.4 cm2
Answer: 102.4 cm^2
Step-by-step explanation:
find the surface area of all of the rectangles
7.2(4)=28.8
7.2(2)=14.4
7.2(4)=28.8
7.2(2)=14.4
4(2)=8
4(2)=8
add
28.8+14.4+28.8+14.4+8+8=102.4
Hello , this is a question on Geometry and I don’t understand how to do this can someone pls help me ?.
Answer:
m∠COD = 83°(I assumed it was somewhere right in-between 80-89 degrees, so I picked 83 as the most logical in between those integers.)
∠COD is an acute angle since it's less than 90°.
I hope this helps you, let me know if you have concerns related to this question and I will help with that.
What is the range of this function? (negative infinity, infinity) left-bracket negative 1, infinity) (negative 1, infinity) (0, infinity)
The range of the function \(f(x) = -2(6)^{x} +3\) discovered using exponential function is ( -∞, 3).
What is the range?The difference between the greatest and smallest numbers is called the range.What is an exponential function?
The following equations represent an exponential function: \(y=ab^{x} +c\)In which:
a is the initial value.b is the rate of change.c is the vertical shift.As for the range, we have:
If a > 0, the range is (c,∞).If a < 0, the range is (-∞,c).In this problem, the function is given by: \(f(x) = -2(6)^{x} +3\)
The coefficients are a = -2 0, b = 6, and c = 3, and the range is (-∞,3).
Therefore, the coefficients are a = -2 0, b = 6, and c = 3, and the range is (-∞,3).
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The complete question is given below:
What is the range of the function f(x) = –2(6x) + 3? (negative infinity, negative 2 Right-bracket (negative infinity, 3) Left-bracket negative 2, infinity) Left-bracket 3, infinity)
Answer:B
Step-by-step explanation:edge lolololololololloll
What is the center of the circle?
The circle passes through the pint (-2,3). What is it’s radius?
Answer:
Step-by-step explanation:
Use the formula for circles.
\(x^{2} + y^{2} = r^{2}\)
Since we already have the values of x and y in the given problem (-2,3), substitute the values in the fomula.
\(x^{2} + y^{2} = r^{2}\)
\((-2)^{2} + (3)^{2} = r^{2}\)
\(4 + 9 = r^{2}\)
\(13 = r^{2}\) (square both sides to get the radius)
\(\sqrt{13} = \sqrt{r^{2} }\)
\(\sqrt{13} = r\)
What is the length of the uhn known leg in the right triangle
Answer:
Triangle?
Step-by-step explanation:
But to find it (hypotenuse) you use the other sides of the right triangle and solve using the pythagorean theorem.
a^2+b^2=c^2
c= hypotenuse
To find any other side, just plug it in to solve for that variable.
a=one of the other sides
b = the third side
27x + 35y = -105
what is x and what is y
Answer:
x-intercept: -(\(\frac{35}{9}\),0)
y-intercept: (0,-3)
Step-by-step explanation:
Assume that f(-1) = -2. Assume also that the graph of y=f(x) is symmetric with respect to the line x = - 3. Find another value for the function.
Using the symmetry property of the graph of y = f(x) with respect to the line x = -3, we can find another value for the function. Since f(-1) = -2, the corresponding point on the other side of the line x = -3 is (-5, -2), implying that f(-5) = -2.
Given that the graph of y = f(x) is symmetric with respect to the line x = -3, we know that if a point (a, b) lies on the graph, then the point (-6 - a, b) also lies on the graph. This symmetry property allows us to find another value for the function.
Given that f(-1) = -2, we can determine the corresponding point on the other side of the line x = -3 by mirroring the given point. The x-coordinate of the mirrored point is obtained by subtracting the x-coordinate of the given point from -6. In this case, -6 - (-1) = -5. So, the mirrored point is (-5, -2), and we can conclude that f(-5) = -2.
In conclusion, by utilizing the symmetry property of the graph with respect to the line x = -3, we find that f(-5) = -2.
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HELP! Rechal can play 8 instruments and Sarina can play 1/4 LESS than that. How many instruments can Sarina play?
8*1/4=2
sarina can play 2 instruments
Answer:
2
Step-by-step explanation:
8 divided by 4 is 2
1/4 of 8 is 2
find the value x. Length=3x breadth=2x and perimeter=20cm
Answer:
x = 2 cm
Step-by-step explanation:
Formula we use,
→ P = 2(L + B)
Now the value of x will be,
→ P = 2(L + B)
→ 20 = 2(3x + 2x)
→ 20 = 2(5x)
→ 20 = 10x
→ 10x = 20
→ x = 20/10
→ [ x = 2 cm ]
Hence, the value of x is 2.
The value of [x] will be equivalent to 2.
What is the perimeter of a rectangle? What is a mathematical function, equation and expression?perimeter : The perimeter of rectangle is : P = 2(x + y).function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that the length of rectangle is [3x] and the breadth is [2x]. The perimeter of the rectangle is 20cm.
The area of the rectangle will be -
A{R} = [3x] × [2x] = 6x²
The perimeter of the rectangle will be -
P{R} = 2[3x + 2x] = 20
3x + 2x = 10
5x = 10
x = 2
Therefore, the value of [x] will be equivalent to 2.
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On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 4 kg weighs 12 n. Find the weight of an object whose mass is 5 kg.
Answer:
The weight of an object when the mass is 10 kg
will be 30 N.
Let the weight of an object whose mass is 10 kg
be represented by x.
Therefore, based on the information given, the equation to solve the question will be:
8/10 = 24/x
Cross multiply
8x =24 x 10
8x=240
x = 240/8
x = 30
Therefore, the weight of an object when the mass
is 10 kg will be 30 N.
Step-by-step explanation:
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PLEASE HELP ASAP 100 POINTS BRAINLIST
uppose you toss a coin and then roll a number cube.
What is the sample space for the compound event?
Question 9 options:
H1 T1 H2 T2 H3 T3 H4 T4 H5 T5 H6 T6
TH1 TH2 TH3 TH4 TH5 TH6
H T 1 2 3 4 5 6
H1 T1 H6 T6
Two at once
So
Sample space for coin
{H,T}Sample space for cube
{1,2,3,4,5,6}Combine sample space
{H1,H2,H3,H4,H5,H6,T1,T2,TE,T4,T5,T6}Option A
Write the equation in standard form for the circle x2+y2–49=0.
Answer:
2x+2y=49
Step-by-step explanation:
tell me if this is wrong
91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse
OLAP is used for the analysis of accumulated data, and it requires a data warehouse.
while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.
In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.
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.
A quadratic equation g(x), has x-intercepts 5 and -1. in addition, (2,-9) satisfies f(x). two transformations are applied to g(x). first, it is reflected over the x-axis and then it is stretched vertically by a factor of 3. please help.
Therefore , the solution to the given problem of the equation comes out be y-intercept of g(x) is (0,15).
Explain equation.An equation is referred to as linear when all of the highest powers of the variables are equal to one. The components are interconnected. This kind of issue is also known as a one-degree equation. Learn how to solve a linear equation in one or two variables using the standard form, formula, graph, and instructions in the following paragraphs.
Here,
1) The quadratic factored form can be written as follows because the g(x) function has the x-intercepts "5" and "-1":
y equals a(x-x1)(x-x2), y equals a(x-5)(x+1).
2) We may rewrite the "a" coefficient as follows since we were informed that this g(x) function has been extended vertically by a factor of 3 and mirrored over the x-axis:
g(x) = -3(x-5)(x+1)
3) In order to obtain the function and the y-intercept, let's extend that.
g(x) = -3(x-5)(x+1)
g(x) = -3\(x^{2}\) + 12x + 15
It's important to note that the leading coefficient's minus sign indicates that, in comparison to the parent function, the equation has been stretched vertically and reflected.
Thus, the y-intercept of g(x) is (0,15)
Therefore , the solution to the given problem of the equation comes out be y-intercept of g(x) is (0,15).
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add the following polynomial of x3+3xy-2×y2+y3,2×3-5x2y-3xy2-2y3
The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).
What is a polynomial?
⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.
Calculation;
We have been given two polynomial which we have to add \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)
The sign after addition or subtraction will always be of the variable having more value.
\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)
On adding like terms with each other
⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)
⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)
Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).
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Kinda need help fast.
Answer:
the amswer is c
Step-by-step explanation:
Given that Z is a standard normal random variable. What isthe value of Z if the area to the right of Z is 0.1401?
a. 1.08
b. 0.1401
c. 2.16
d. -1.08
Standard Normal Distribution is also known as the Z-distribution. It is a normal distribution with a mean of 0 and a standard deviation of 1. We use the standard normal distribution to convert any normal distribution to the standard form. In standard form, we can get probabilities of different random variables from the standard normal distribution.
Let Z be a standard normal random variable and we need to find its value if the area to the right of Z is 0.1401. Therefore, the value of Z is 1.08. Here's the solution:Given that Z is a standard normal random variable.The area to the right of Z is 0.1401.We know that the total area under the normal distribution curve is 1. Let's draw the standard normal distribution curve. We need to find the value of Z such that the area to the right of Z is 0.1401. The area shaded below represents 0.1401. Let Z = z0.1401 represents the value of Z corresponding to an area of 0.1401.
Since the total area is 1, the area to the left of z0.1401 is 1-0.1401 = 0.8599.Now, look up the table of standard normal distribution. Look for the area 0.8599 in the standard normal distribution table. We can use the standard normal distribution table to find the values of the area under the standard normal curve for different values of Z.The corresponding value of Z is 1.08.Therefore, the value of Z if the area to the right of Z is 0.1401 is 1.08. Answer: a. 1.08.
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what should a good residual plot look like if the regression line fits the data well?
A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.
This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.
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Create a linear equation for the following table and graph
Answer:
y = 1.4m + 7.4
Step-by-step explanation:
Domain of g+k:______
X >= 0
X >= -6
All real numbers
Answer:
X >= -6
Step-by-step explanation:
this is the right answer.Which statement best describes the relationship between Stanton’s diction and her purpose?
Stanton uses words with negative connotations to show how society oppresses women.
Stanton uses words with positive connotations to emphasize women’s contributions to society.
Stanton uses words with negative connotations to suggest that women are behaving badly.
Stanton uses words with positive connotations to draw attention to fair and effective lawsAnswer:
its the first option
Step-by-step explanation:
Need help
With this answer
The value of x in the given triangle is 2.44 units.
What are similar triangles?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
Similar figures are described as items with the same shape but varying sizes, such as two or more figures. While both have the same form, the sizes may vary. Each pair of comparable angles are equal. Similar equivalent side ratios exist.
Given that, LM bisects angle JLK.
Thus, angle JLM = angle MLK.
The two triangles triangle JKL and triangle MLK are similar using AA criteria.
Since, the two triangles are equal the ratio of their sides are equal.
Using Pythagoras theorem in triangle MLK we have:
LM² = 4² + 8²
LM = 8.9
Now, using the ratio:
x + 3 / 8.9 = x / 4
4x + 12 = 8.9x
12 = 4.9x
x = 2.44
Hence, the value of x in the given triangle is 2.44 units.
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Which of the following factors does NOT control the stability of a slope?
the angle of repose for intact bedrock
whether the slope is rock or soil
the amount of water in the soil
the orientation of fractures, cleavage, and bedding
The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.
Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.
The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.
To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.
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Tell whether the statement is true or false. \[ \cos 35^{\circ} \cos 35^{\circ}+\sin 35^{\circ} \sin 35^{\circ}=1 \] Is the statement true or false? True False
The statement \(\cos 35^\circ \cos 35^\circ + \sin 35^\circ \sin 35^\circ = 1\) is true.
The statement \(\cos 35^\circ \cos 35^\circ + \sin 35^\circ \sin 35^\circ = 1\) is true, and we can demonstrate this by using the Pythagorean identity.
The Pythagorean identity states that for any angle \(\theta\), the sum of the squares of the cosine and sine of that angle is equal to 1: \(\cos^2 \theta + \sin^2 \theta = 1\).
In this case, we have \(\theta = 35^\circ\). Substituting this into the Pythagorean identity, we get:
\(\cos^2 35^\circ + \sin^2 35^\circ = 1\).
Now, we can simplify the left-hand side of the equation using the properties of trigonometric functions. Since \(\cos\) and \(\sin\) are both functions of the same angle, 35 degrees, we can express them as \(\cos 35^\circ\) and \(\sin 35^\circ\) respectively.
So, the original expression \(\cos 35^\circ \cos 35^\circ + \sin 35^\circ \sin 35^\circ\) can be rewritten as \(\cos^2 35^\circ + \sin^2 35^\circ\).
Since the left-hand side and the right-hand side of the equation are now identical, we can conclude that the statement is true: \(\cos 35^\circ \cos 35^\circ + \sin 35^\circ \sin 35^\circ = 1\).
This verifies that the given trigonometric expression satisfies the Pythagorean identity, which is a fundamental relationship in trigonometry.
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What is the average of the points A, B and C with weights 1, 1 and 1
respectively?
The average of the points A, B and C with weights 1, 1 and 1
respectively is: (-5/3, -2)
How to calculate the weighted average?A technique known as a weighted average accounts for the varied levels of significance of the values in a data collection. Each number in the data set is multiplied by a predefined weight before the final computation is completed when calculating a weighted average.
Thus:
Weighted average = [(w₁ × x₁) + (w₂ × x₂) + (w₃ × x₃)]/(w₁ + w₂ + w₃)
Where:
w_i is the weight of the ith point
x_i is the coordinate of the ith point.
Thus:
x-coordinate = [(1 × -4) + (1 × 6) + (1 × -7)]/(1 + 1 + 1)
x-coordinate = -5/3
y-coordinate = [(1 × -5) + (1 × 6) + (1 × -7)]/(1 + 1 + 1)
y-coordinate = -2
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A calculator that cost $60 in 1980 now sells for $10. What was the percent of decrease
Answer: 16.6%
Step-by-step explanation:
$60 divided by 6 = $10
so divide 100 by 6 and you get about 16.6
I Hope this Helps!
1.) Solve.
9 + 3x = 5(−x + 5) − 56
x =
2.) this answer is the picture on the bottom it would say 8 so put the equation. for me
3.)Solve.
−5(2x − 21) = 2(x − 4) − 31
x =
4.)Solve the equation.
3(x + 5) = 2(3x + 18)
x =
Answer:
For the first one, I got -11.25= x.
Step-by-step explanation:
9+3x=-5(-x+5)-56
9+3x=-5x-81
9+8x=-81
8x=-90
-90/8= -11.25
Please answer ASAP
The price of a dozen exercise book is 72 dollars find the cost of 18 exercise books
Answer:
$108Step-by-step explanation:
Dozen = 12
Use the ratio:
12 ⇒ 7218 ⇒ xFind x:
x = 72*18/12 = 108The acceleration of an object due to gravity is 32 feet per second squared. What is acceleration due to gravity in inches per second squared? Three eighths inches per second squared Two and two thirds inches per second squared 384 inches per second squared 1,024 inches per second squared
Answer:
384 inches per sec^2
Step-by-step explanation:
What we need to do here is a conversion.
We shall be converting from ft per sec^2 to inches per sec^2
The key to answering this question is to know that 12 inches = 1 feet
So the only conversion necessary here is to convert 32 inches to feet
Thus, that would be 32 * 12 = 384 inches per sec^2
Answer:
384 inches per second squared
Step-by-step explanation:
Just took the test
In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3). What are the slope and y-intercept of line r?.
In the given coordinate plane, based on the given dilation the line r has slope 8 and coordinate (0,8)
Dilation:
Dilation refers the ratio of the given line to line by the scale factor.
Given
In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3).
Here we need to find the the slope and y-intercept of line r.
Here we know that scale factor is 3.
Let us consider the slope of the line r will not change and the intercept is the addition of their ordinate will be.
So, it can be written as,
=> Intercept = 5 + 3
=> Intercept = 8
Therefore, the line r has slope 8 and coordinate (0.8).
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Shelley’s resolution is to bike 192 miles each week. If she rides with a average speed of 9.6 mph and plans to ride an equal amount of time each day, about how many hours a day should she plan to ride?
Answer:(192/9.6)÷7=20/7
Step-by-step explanation: