Answer:
5(4x + 5)
Step-by-step explanation:
Given
20x + 25 ← factor out the common factor 5 from each term
= 5(4x + 5)
Answer:
5(4x+5)
Step-by-step explanation:
divide both with the same number into smallest digit
eg: 5(4x+5)=20x+25
if 5x4=20 and 5x5=25
both can be divided by 5 to get smallest number(factorise it)
2+2x3+6=
Also what is this?
2+2x3+6=18
That happens nobody answers your question for a period of time, and so it is taken down and you get the points back
Answer:
The answer is 14
Step-by-step explanation:
Also it shows that when no one answers a question of yours.
9. a three-digit number, xyz, is formed of three different non-zero digits x , y , and z. a new number is formed by rearranging the same three digits. what is the greatest possible difference between the two numbers? (for ex- ample, 345 could be rearranged into 435, for a difference of 435 - 345
In linear equation, 792, which is the highest possible difference.
What are a definition and an example of a linear equation?
An equation in which there is only one variable is known as a linear equation in one variable.It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.One such linear equation in one variable is 9x + 78 = 18.Let m be the digit from 2 to 8.
The larger three digit number will look like 9m1, while the smaller three digit number will look like 1m9.
Assume a three digits number lets say 189.
Then the largest possible three digit number after rearranging above number is 981.
981 - 189 = 792
Again assume a three digits number lets say 149.
Then the largest possible three digit number after rearranging above number is 941.
941 - 149 = 792
for m their difference is constant i.e:792, which is the highest possible difference.
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2/3 + w = 3/2 what is w
Answer:
w=0
Step-by-step explanation:
The budget for the valentine's day dance is $500. linghts and decorations cost $125. The Dj charges $100 per hour plus a one time business fee of $75. What is the maximum number of hours the school can have the DJ play at the dance?
ok
Budget =< lights + DJ + business fee
$500 =< $125 + $100x + $75
solve for x
500 =< 200 + 100x
500 - 200 =< 100x
300 =< 100x
x =< 300/100
x =< 3
The maximum number of hours is 3
How would budgeting for a household be similar to budgeting for a business?
Budgeting for a household and a business both require setting financial goals, prioritizing expenses, and tracking income and expenses
Given that;
To find budgeting for a household be similar to budgeting for a business.
Since, Budgeting for a household and a business both require setting financial goals, prioritizing expenses, and tracking income and expenses.
Here, In both cases, it's important to consider fixed and variable expenses, such as rent or mortgage payments, bills, food costs, and employee salaries.
And, Additionally, creating a contingency plan for unexpected expenses is essential for both households and businesses.
Hence, The main difference is that businesses may have more complex financial structures with investors or loans to consider, while households typically have simpler financial structures.
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-6 - (-6) +7+ (-4) + (-1)
What’s the answer of this?
13 pts !
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
i just did the question on my test!
Someone help please and thank you !! ASAP
Answer:
\(\frac{x+9}{x+3}\) , x ≠ - 3 ;
Step-by-step explanation:
f(x) = x³ + 9x² - 25x - 225 = (x + 9)(x + 5)(x - 5)
g(x) = x³ + 3x² - 25x - 75 = (x + 5)(x + 3)(x - 5)
( \(\frac{f}{g}\) )(x) = \(\frac{(x+9)(x+5)(x-5)}{(x +5)(x+3)(x-5)}\) = \(\frac{x+9}{x+3}\) , x ≠ - 3
Danny and his younger brother, Jeff, are comparing their trophy collections. Danny has 3 soccer trophies and 6 basketball trophies. Jeff has 2 soccer trophies and 4 basketball trophies. Do Danny and Jeff have the same ratio of soccer trophies to basketball trophies?
Answer:
Yes
Step-by-step explanation:
The ratio for Danny would be 3 / 6 which simplifies to 1 / 2
For Jeff the ratio would be 2 / 4 which simplifies to 1 / 2 as well
50 points and Brainliest answer question above
Answer:
12
Step-by-step explanation:
the answer is 12
Answer: 12sq. units
Step-by-step explanation: Because if you take it and say it has 2 for the side and down below it has 6 you times that and you get 12.
Can you mark me brainlest???!!! Please!!!!!
What is the measure of BOC I couldn’t figure this out.
The arc length formula is :
\(\text{arc}=r\theta\)where r = radius and the angle is in radians
From the problem, the arc length is 21π units and the radius is 15 units.
Using the formula above :
\(\begin{gathered} 21\pi=15\theta \\ \theta=\frac{21\pi}{15} \\ \theta=\frac{7}{5}\pi \end{gathered}\)ANSWER :
A.
Is there a relationship between Column X and Column Y? Perform correlation analysis and summarize your findings.
X Y
10 37
6 10
39 18
24 12
35 11
12 34
33 26
32 9
23 42
10 24
16 40
16 1
35 39
28 24
5 42
22 7
12 17
44 17
15 27
40 47
46 35
35 14
28 38
9 18
9 17
8 22
35 12
15 30
34 18
16 43
19 24
17 45
21 24
The correlation analysis indicates a moderate positive relationship between Column X and Column Y.
To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.
Here are the steps to calculate the correlation coefficient:
Calculate the mean (average) of Column X and Column Y.
Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375
Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125
Calculate the deviation of each value from the mean for both Column X and Column Y.
Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)
Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)
Calculate the product of the deviations for each pair of values.
Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)
Calculate the sum of the product of deviations.
Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)
Calculate the standard deviation of Column X and Column Y.
StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]
StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]
Calculate the correlation coefficient (r).
r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]
By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.
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People who traveled between Philadelphia and New York City by different vehicles (train, car, bus, or plane) were surveyed to see how pleasant the experience has been. Pleasantness was measured on an interval scale. What statistical test should be used to analyze these data to see if different modes of travel were associated with different mean levels of pleasantness
To analyze the data and determine if different modes of travel are associated with different mean levels of pleasantness, a suitable statistical test to consider would be the Analysis of Variance (ANOVA). ANOVA is commonly used when comparing means between multiple groups or categories.
In this case, the independent variable is the mode of travel (train, car, bus, or plane), which has multiple categories. The dependent variable is the level of pleasantness, measured on an interval scale.
By conducting an ANOVA, you can assess whether there are significant differences in mean levels of pleasantness across the different modes of travel. The test will determine if there is evidence to suggest that the means of the groups are not all equal, indicating a potential association between travel mode and pleasantness.
If the ANOVA test indicates that there are significant differences, you can perform posthoc tests, such as Tukey's Honestly Significant Difference (HSD) test or Bonferroni correction, to identify which specific modes of travel have significantly different mean levels of pleasantness.
It's important to note that the appropriateness of the ANOVA assumes that the data meets the necessary assumptions, such as normality and homogeneity of variances. These assumptions should be checked before conducting the analysis.
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Nina makes $12 per hour at her job. She also earns commission. Last week she earned $78 in commission and made a total of $444. Write and solve an
equation to determine how many hours Nina worked last week.
Answer:
30.5 hours
Step-by-step explanation:
444-78=366
366/12=30.5
30.5 x 12= 366
Answer:
She worked 30 1/2 hours last week
Step-by-step explanation:
Look at the picture
Hope this helps:)))
If AB = 20, and BC = 10, what is AC?
Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P
The coordinates of the unit vector, having positive first coordinate and orthogonal to the plane through a given point P(3, -4, 4) = \((\frac{\sqrt{2} }{2}, \frac{-\sqrt{2} }{2},0)\)
What is a vector? Vector is a quantity that has both direction and magnitude. It is represented by an alphabet, having a right-directed over it or simply 'vector(alphabet)'.The coordinates of P are (3, -4, 4).To find a unit vector, we first need to create two vectors in the plane, say vector (PQ) and vector (PR).Let the coordinates of Q be (6 , -1 , 7) and R be (6, -1 ,9).
Then coordinates of vector(PQ) = < 6 - 3, -1 - (-4), 7 - 4 > = (3, 3, 3)
And coordinates of vector(PR) = < 6 - 3, -1 - (-4), 9 - 4 > = (3, 3, 5)
Let vector(n) be a normal vector to the plane (orthogonal to the plane), given by the cross product of these two vectors:Thus, vector (n) = vector (PQ) x vector (PR)
=> vector (n) = \(\left[\begin{array}{ccc}3&3&3\\3&3&5\end{array}\right]\)
Solving for the determinant, we get the coordinates of vector (n)
= (6, -6, 0).
Magnitude of vector (n) = \(\sqrt{6^{2}+{(-6)^{2}+{0^{2} }\) = \(6\sqrt{2}\)
Thus, the unit vector (n) = \(\frac{Coordinates Of Vector (n)}{Magnitude Of Vector(n)}\)
=> Unit vector (n) = \(\frac{(6,-6,0)}{6\sqrt{2} }\) = \((\frac{\sqrt{2} }{2},\frac{-\sqrt{2} }{2},0)\)
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COMPLETE QUESTION:
Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P (3,-4,4).
A company upgraded production machinery to transmit data to the data warehouse about the fit tolerance for assembled parts of each unit produced as the measures are taken. Before the upgrade, data was transmitted at the end of a production run. The upgrade represents an increase in
The company's upgrade in production machinery, which allows for real-time transmission of data about the fit tolerance for assembled parts of each unit produced, represents an increase in the timeliness and efficiency of data transmission.
Prior to the upgrade, data about the fit tolerance for assembled parts was transmitted at the end of a production run.
This means that the information regarding the quality and precision of the assembled parts was collected and transmitted after the entire production process was completed.
However, with the upgrade in production machinery, the company now has the capability to transmit this data in real-time as the measures are taken during the production process.
The upgrade represents an increase in the timeliness and efficiency of data transmission.
By transmitting the data in real-time, the company can immediately identify any deviations or issues in the fit tolerance of the assembled parts.
This allows for timely interventions and adjustments to be made during the production process, reducing the likelihood of producing defective or substandard units.
Real-time data transmission also enables the company to have a more accurate and up-to-date understanding of the quality of each unit produced. This information can be used for immediate feedback, quality control purposes, and process improvements.
Overall, the upgrade in production machinery enhances the company's ability to monitor and control the fit tolerance of assembled parts, leading to improved production efficiency and product quality.
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make 24 with the numbers below :
5, 10, .5, 1
Answer:
0.5(5 × 10) - 1
Step-by-step explanation:
((5 × 10) × 0.5) - 1
((50) × 0.5) - 1
25 - 1
24
How would I solve this question?
Please take a look at the attachment
Working out required.
Thank You
Answer:
Step-by-step explanation:
(5x )4 +(5x )3 = (10x)12
Si en la pandemia de 1918 murieron 40 millones ¿Qué porcentaje representa del total de la población mundial de ese año?
La "Gripe Española" de 1.918 acabó con 2.105 por ciento de la población mundial de su tiempo.
¿Cuál es el porcentaje de personas muertas por causa de la "Gripe Española" de 1918?
La "Gripe Española" fue una enfermedad respiratoria emparentada con los virus SARS-COV vistos en las últimas dos décadas que alimentó una pandemia que mató a decenas de millones de personas entre 1.918 y 1.920.
En esta pregunta debemos determinar el porcentaje de personas muertas con respecto a la población mundial de la época. Esto calcula al dividir el número de personas muertas por el número total de pobladores del mundo y multiplicar tal razón por 100.
La población aproximada del mundo en 1.920 fue de casi 1.900 millones de personas, entonces tenemos que el porcentaje de personas muertas es:
x = (40 000 000 / 1 900 000 000) × 100
x = 2.105 %
La "Gripe Española" de 1.918 acabó con 2.105 por ciento de la población mundial de su tiempo.
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You are standing above the point (2,4) on the surface z=15−(3x
2
+2y
2
). (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.) direction = (b) If you start to move in this direction, what is the slope of your path? slope = The temperature at any point in the plane is given by T(x,y)=
x
2
+y
2
+3
100
. (c) Find the direction of the greatest increase in temperature at the point (−2,2). What is the value of this maximum rate of change, that is, the maximum value of the directional derivative at (−2,2)? (d) Find the direction of the greatest decrease in temperature at the point (−2,2). What is the value of this most negative rate of change, that is, the minimum value of the directional derivative at (−2,2)?
a) The direction in which you should walk to descend fastest is: (-12, -16)
b) The slope of your path is: -88
c) The direction of the greatest increase in temperature at the point (−2, 2) is: (-4, 4)
The maximum rate of change is: 4√2
d) The direction of the greatest decrease is: (4, -4).
The most negative rate of change is: 4√2
How to solve Directional Derivative Problems?(a) The equation on the surface is:
z = 15 - (3x² + 2y²)
The gradient of this surface will be the partial derivatives of the equation. Thus:
Gradient of the surface z:
∇z = (-6x, -4y)
Since you are standing above the point (2,4), then the direction to descend fastest is:
∇z(2,4) = (-6(2), -4(4))
∇z(2,4) = (-12, -16)
That gives us the direction to descend fastest is in the direction.
(b) If you start to move in the direction (-12, -16) above, then slope of your path (rate of descent) is given by the dot product expressed as:
Slope = ∇z(2,4) · (-12, -16)
= (2)(-12) + (4)(-16)
= -24 - 64
= -88
(c) We want to find the direction of the greatest increase in temperature at the point (−2,2).
Thus, the gradient of T(x,y) is given by:
∇T = (2x, 2y).
The direction is:
∇T(-2, 2) = (2(-2), 2(2))
∇T(-2,2) = (-4, 4)
The maximum rate of change is:
∇T(-2,2) = √((-4)² + 4²)
= √(16 + 16)
= √(32)
= 4√2
(d) The direction of the greatest decrease is:
(-∇T(-2, 2)) = (-(-4), -4)
= (4, -4).
The most negative rate of change is:
∇T(-2, 2) = √(4² + (-4)²)
= √(16 + 16)
= √(32)
= 4√2
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Which expression is equivalent to this polynomial?
9x^2 + 4
A. (3x + 2i)(3x − 2i)
B. (3x + 2)(3x − 2)
C. (3x + 2i)^2
D. (3x + 2)^2
Answer: A. (3x + 2i)(3x − 2i)
I hope this helps.
Answer:
A is the answer.
Step-by-step explanation:
In the first, we must know i^2 is (-1)
so we can get the answer is A.
A.(3x + 2i)(3x − 2i)
= (3x)^2 - (2i)^2
= 9x^2 + 4 (Answer)
B. (3x + 2)(3x − 2) = 9x^2 - 4
C. (3x + 2i)^2
= 9x^2 + 12ix - 4
D. (3x + 2)^2
= 9x^2 + 12x + 4
How many books recommended by the book reading club would you actually buy? Which book was first recommended to be read by the book club during the summer break? Who wrote a statistical question and why?
Answer:
7
Step-by-step explanation:
njshhtb jahhhdvjsjjbvgshh shhkakhgsv jjjjgfe
A combined solid made up of a radius 3 cm and length h cm and a hemisphere with the same radius as the cylinder has volume 792 cm cube . find the value of h
Answer:
complete solution at jemrare dot com
Step-by-step explanation:
a2 = -8 and a5 = -512
Find a10
Answer:
The value of a₁₀ is -1352
Step-by-step explanation:
a₂ = -8
a₅ = -512
Now,
a₂ = -8 can be written as
a + d = -8 ...(1) and
a₅ = -512 can be written as
a + 4d = -512 ...(2)
Now, from equation (2) we get,
a + 4d = - 512
a + d + 3d = - 512
(-8) + 3d = - 512 (.°. a + d = -8)
3d = - 512 + 8
3d = - 504
d = - 504 ÷ 3
d = - 168
Now, for the value of a put the value of d = -168 in equation (1)
a + d = -8
a + (-168) = -8
a - 168 = -8
a = 168 - 8
a = 160
Now, For a₁₀
a₁₀ = a + 9d
a₁₀ = 160 + 9(-168)
a₁₀ = 160 - 1512
a₁₀ = -1352
Thus, The value of a₁₀ is -1352
-TheUnknownScientist
In triangle FGH, an exterior angle at F measures 70°, and triangle?
Answer:
110, 35, 35
Step-by-step explanation:
How do I simplify this expression?
Answer:
\(a=1\\\\b=7\)
Step-by-step explanation:
\(\dfrac{x^2 (y^3)^4}{xy^5}\\\\\\=x^{2 -1} \cdot \dfrac{y^{3 \times 4}}{y^5}\\\\\\=x^1 \cdot \dfrac{y^{12}}{y^5}\\\\\\=x^1 \cdot y^{12-5}\\\\\\=x^1 \cdot y^7\\\\\text{Hence a = 1, b = 7}\)
Plot √2 and √3 on the number line. Which statements are true? Check all that apply. StartRoot 2 EndRoot < 2 StartRoot 2 EndRoot < StartRoot 3 EndRoot StartRoot 2 EndRoot > 1. 5 StartRoot 3 EndRoot < 3 StartRoot 2 EndRoot is about 0. 5 less than StartRoot 3 EndRoot. StartRoot 3 EndRoot is about 0. 3 greater than StartRoot 2 EndRoot.
The statements which are true for the number line plotted for the numbers √2 and √3 are statement 1,2,4 and 6 which are,
\(\sqrt{2} < 2\\\sqrt{2} < \sqrt{3}\\\sqrt{3} < 3\\\sqrt{3} < \sqrt{2}+0.3\\\)
What is the number line?The number line is the way of representation of number and digits in a arranged form to understand the data batter.
The number line for the numbers √2 and √3 are plotted and attached in the below.
In the attached image, it can be seen that the root of number 2 is less than the number.
The root of number 3 is less than the number 3 but greater than number 2.
In the given options, the option 1,2,4 and 6 are correct for the plotted number line.
Thus, the statements which are true for the number line plotted for the numbers √2 and √3 are statement 1,2,4 and 6 which are,
\(\sqrt{2} < 2\\\sqrt{2} < \sqrt{3}\\\sqrt{3} < 3\\\sqrt{3} < \sqrt{2}+0.3\\\)
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Oscar's back yard is in the shape of a rectangle. It has an area
of 45 square meters. The length of Oscar's yard is 75 meters.
What is the width?
the nutritionist said that morgan had eaten as much mcdonalds in 30 days as a nutritionist would say you should eat in _____________ years.
Based on the information provided, I would assume that the nutritionist said Morgan had eaten as much McDonald's in 30 days as a nutritionist would say you should eat in several years, perhaps 5-10 years.
The nutritionist indicated that Morgan consumed an excessive amount of McDonald's food in just 30 days.
This amount is equivalent to what a nutritionist would recommend eating over a significantly longer period, possibly several years.
The key takeaway is to maintain a balanced diet and follow the guidance of nutritionists to ensure a healthy lifestyle.
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The nutritionist said that Morgan had eaten as much McDonald's in 30 days as a nutritionist would say you should eat in several years
How many years should you eat McDonald's?The nutritionist said that Morgan had consumed as much McDonald's food in 30 days as a nutritionist would recommend eating in several years. This comparison emphasizes the excessive and unhealthy nature of Morgan's McDonald's consumption.
While the specific number of years can vary depending on individual dietary recommendations, it is typically advised to consume fast food and processed foods in moderation or as occasional treats. These foods are often high in unhealthy fats, sodium, and added sugars, which can contribute to various health issues, including obesity, cardiovascular diseases, and diabetes.
The nutritionist's statement serves as a reminder of the importance of a balanced and nutritious diet consisting of whole foods, fruits, vegetables, lean proteins, and whole grains for maintaining optimal health and well-being.
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What is the slope of the equation y= 5/4 times -7/4
Answer:
5/4
Step-by-step explanation:
If the equation is
\( y = \dfrac{5}{4}x - \dfrac{7}{4} \)
then the slope is the number multiplying x, so
slope = 5/4.
Answer:
5/4.
The x is a variable, not a multiplication sign.
The equation is
y=mx+b
the slope is the m.