Answer:
angle G = angle I
HGI=HIJ by RHS fact
HGI=HIJ corresponding angles are alwyas congurrent
Give ten (10) symbols of logic mathematics or logic in computer science.
Answer:
Step-by-step explanation:
open the page below
Answer:
please read through the ten symbols of logic mathematics
Solve this help me
It is the question of class 10 Maths
Answer:
\(x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }\)
\(\dfrac{9 \cdot x + 10}{3} = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3\)
Therefore;
\(x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}\)
Step-by-step explanation:
Given that we have;
\(x^2 - 2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} }\)
\(x^2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} } + 2 = \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )\)
\(x^2 = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )\)
\(x = 3 ^{-\frac{1}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )^{\frac{1}{2} }\)
\(x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }\)
\(x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }\)
\(x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }\)
\(x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }\)
\(\dfrac{9 \cdot x + 10}{3} = 3 \cdot x + \dfrac{10}{3} = 3 \times \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } +\dfrac{10}{3} = \dfrac{ 3 ^{\frac{5}{3} } + 3 }{3 ^{\frac{1}{3} } } + \dfrac{10}{3}= \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } }\)
\(\dfrac{9 \cdot x + 10}{3} =\dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } } = \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{5}{3} }+ 10 }{3 } } } = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3\)
Therefore;
\(x^3 = \dfrac{9 \cdot x + 10}{3}\)
\(x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}\)
A force of 2 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length
The required work done in stretching the spring from its natural length to 0.6 feet beyond its natural length is 0.18 foot-pounds.
Given data: Force required to hold the spring stretched = 2 pounds
Stretch beyond natural length = 0.4 feet
To find the work done to stretch beyond natural length to 0.6 feet beyond natural length.
Let's determine the work done in stretching the spring from its natural length to 0.6 feet beyond its natural length.
Step 1: Work done in stretching the spring from its natural length to 0.4 feet beyond its natural length is:
W1 = (1/2) k x1²
Where, k = force constant of the spring, x1 = stretch beyond natural length
W1 = (1/2) × Force × (Stretch beyond natural length)²
∴ W1 = (1/2) × 2 pounds × (0.4 feet)²
W1 = 0.16 foot-pounds.
Step 2: Work done in stretching the spring from 0.4 feet beyond its natural length to 0.6 feet beyond its natural length :
W2 = (1/2) k (x2² - x1²)
Where, k = force constant of the spring,x2 = Stretch beyond natural length to 0.6 feet beyond natural length,
x1 = Stretch beyond natural length
W2 = (1/2) × Force × (Stretch beyond natural length to 0.6 feet beyond natural length)² - (1/2) × Force × (Stretch beyond natural length)²
∴ W2 = (1/2) × 2 pounds × (0.6 feet - 0.4 feet)² - (1/2) × 2 pounds × (0.4 feet)²= (1/2) × 2 pounds × (0.2 feet)²
W2 = 0.02 foot-pounds.
The work done in stretching the spring from its natural length to 0.6 feet beyond its natural length is
W = W1 + W2
=> 0.16 + 0.02 = 0.18 foot-pounds.
Thus, the required work done in stretching the spring from its natural length to 0.6 feet beyond its natural length is 0.18 foot-pounds.
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what is the standard form for the equation y=-5x+8
Answer
5x+y=8
Step-by-step explanation:
\(y + 5x = 8\) is a standard form of equation.
What is standard form?
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. If the equation is given in this form, finding both points of intersection (x and y) is quite easy. This form is also very useful for solving systems of two linear equations.
By some examples,we can understand the concept more easily.
Example -1,
\(2x + 3y = 2\) is a standard form of equation.
Example -2,
\(5x + 7y = 2\) is a standard form of equation.
Example -3,
\(5x = y - 5\) is not a standard form of equation.
Given equation is \(y = - 5x + 8....(1)\)
We want to find standard form for the given equation.
Now,
\(y = - 5x + 8\)
We are separating variable and constant part.
\(y + 5x = 8\)
According to rule,it is a standard form of equation.
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Which of the following would NOT describe what a translation does to a figure
Answer:
Answers?
Step-by-step explanation:
A translation does NOT
-change the shape of the figure
-change the size of the figure
-change the angle of the figure
IT ONLY CHANGES THE LOCATION of the FIGURE!
I will give you a Brainliest
Answer:
B isa the answer for me it might be wrong for you or switch them
Step-by-step explanation:
Explain how recapturing a higher percent of marked alligators affects the estimated total population
Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.
What is Population?This is referred to as the total number of species or organisms in an area at a given period of time.
Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
The two equations that represent circles with a diameter of 12 units and a center that lies on the y-axis are:
(x - 4)² + y² = 36
(x + 6)² + y² = 144
(x - 4)² + y² = 36:
This equation represents a circle with center (4, 0) since the x-coordinate of the center is 4, indicating it lies on the y-axis. The radius of this circle is √36 = 6 units. Therefore, it satisfies the given conditions.
(x + 6)² + y² = 144:
This equation represents a circle with center (-6, 0) since the x-coordinate of the center is -6, indicating it lies on the y-axis. The radius of this circle is √144 = 12 units. Hence, it also satisfies the given conditions.
x² + (y - 3)² = 36:
This equation represents a circle with center (0, 3) since the y-coordinate of the center is 3, indicating it does not lie on the y-axis. Therefore, it does not meet the given conditions.
x² + (y + 8)² = 36:
This equation represents a circle with center (0, -8) since the y-coordinate of the center is -8, indicating it does not lie on the y-axis. Thus, it does not fulfill the given conditions.
x² + (y - 5)² = 6:
This equation represents a circle with center (0, 5) since the y-coordinate of the center is 5, indicating it does not lie on the y-axis. Hence, it does not meet the given conditions.
Based on this analysis, the equations that represent circles with a diameter of 12 units and a center that lies on the y-axis are options 1 and 2:
(x - 4)² + y² = 36
(x + 6)² + y² = 144.
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please solve this it’s due today
Based on the information, Paulo will need to find a larger mailer or use a different method to ship the plaque to the winner of the chess tournament.
How to explain the informationThe mailer is a triangular prism with 4-inch equilateral triangle bases, which means that each side of the triangle is 4 inches long. Since it is a triangular prism, the height of the mailer is not given, but it doesn't matter for this calculation.
The plaque is 31 inches high. We don't know the width or depth of the plaque, but we only need to worry about the height, since that is what will determine whether it fits through the opening.
The opening of the mailer is the triangular shape formed by the three sides of the triangle that form the base. To calculate the size of this opening, we need to know the length of each side of the triangle. Since it is an equilateral triangle, all sides have the same length of 4 inches.
To see whether the plaque will fit through the opening, we need to compare the height of the plaque (31 inches) to the height of the opening. The height of the opening is the height of an equilateral triangle, which can be calculated using the formula:
height = ✓(3)/2 * length
where "length" is the length of one side of the equilateral triangle. In this case, the length is 4 inches, so we have:
height = ✓(3)/2 * 4 = 2*sqrt(3) inches ≈ 3.5 inches
Therefore, the height of the opening is approximately 3.5 inches. Since the plaque is 31 inches high, it is clearly too large to fit through the opening of the mailer. Therefore, Paulo will need to find a larger mailer or use a different method to ship the plaque to the winner of the chess tournament.
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25,002,000 in scientific notation
Answer:
2.5002 × 10^3 i think, dont quote me on that
Step-by-step explanation:
Which of the numbers below is greater than -3? Select all that apply.
A) - 2.5
B) - 1/2
C) - 7/2
D) 1.2
E) -1.5
Answer:
A,B,D,E
Step-by-step explanation:
On a number line, all of these would be closer to the positives than -3
Hope this helps! :)
14 ➗ 374
Please help me I need this I’m dumb
Answer:
The answer is 0.037433155
Step-by-step explanation:
What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)
The volumes of two similar figures are 729 mm3 and 2744 mm3. If the surface area of the larger figure is 392 mm2, what is the surface area of the smaller figure?
252 mm2
162 mm2
104 mm2
949 mm2
162 mm2
To solve this problem, we will use the concept of similar figures and their ratios. Given that the volumes of two similar figures are 729 mm³ and 2744 mm³, and the surface area of the larger figure is 392 mm², we need to find the surface area of the smaller figure.
Step 1: Find the ratio of volumes.
The ratio of the volumes is 729 mm³ / 2744 mm³, which simplifies to 1/4.
Step 2: Find the cube root of the volume ratio.
The cube root of 1/4 is 1/2 (since (1/2)^3 = 1/8).
Step 3: Calculate the ratio of surface areas.
The ratio of surface areas for similar figures is the square of the ratio of their corresponding lengths. So, the ratio of surface areas is (1/2)^2 = 1/4.
Step 4: Find the surface area of the smaller figure.
Let x be the surface area of the smaller figure. Since the surface area of the larger figure is 392 mm², we have the equation:
x / 392 = 1/4
Step 5: Solve for x.
Multiply both sides of the equation by 392:
x = 392 * (1/4)
x = 98 mm²
So, the surface area of the smaller figure is 98 mm².
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Which of the following makes the equation true?
b/4 = 16
F- 64
G- 4
H- 16
J- 8
The answer is H-16! Hope this helps! :-)
Answer:
F:64
Step-by-step explanation:
64 divided by 4 is 16.
A little help would be nice :')
Answer:
(2,6)
Step-by-step explanation:
x+2y = 14
y = x+4
Substitute x+4 into the first equation for y
x+2(x+4) = 14
Distribute
x+2x+8 = 14
3x+8 = 14
Subtract 8 from each side
3x+8-8 = 14-8
3x = 6
Divide by 3
3x/3 = 6/3
x = 2
Now solve for y
y = x+4
y =2+4
y =6
(2,6)
Answer:
D. (2, 6)
Step-by-step explanation:
Put y as x+4 in the first equation and solve for x.
x + 2(x + 4) = 14
x + 2x + 8 = 14
3x = 14 - 8
3x = 6
x = 2
Put x as 2 in the second equation and solve for y.
y = 2 + 4
y = 6
please answer the following on the attachment
Answer:
42cm²
Step-by-step explanation:
*internal screaming* okay, let's go:
So, at this point, I don't even know what I'm doing, so I'm not going to guarantee that this is right, I'm sorry, but let's do some random math:
So we know that the length (the top and bottom) of the rectangle is 7 cm, we just have to figure out the width (the sides), and we're gonna do that by:
0.5 x 2 = 1
7 - 1 = 6
So now we just do the basic rectangle area calculation:
7 x 6 = 42
So, I hope that the area of the shaded area is 42cm²
if this is wrong, let me know so I can fix it
hope this helps:/
Find the mixed number halfway between 6.4 and 6½. Give
your answer in its simplest form.
Answer:
6.45
Step-by-step explanation:
I am not staring at zero. I am starting at 6.4, so I take 6.4 and add that to half way between 6.5 and 6.4.
6.4 + 1/2(6.5-6.4) Combine in the parentheses
6.4 + 1/2(.5) Take half of .5
6.4 + .05 add
6.45
a student states: ""adding predictor variables to a multiple regression model can only decrease the adjusted r2."" is this statement correct? comment.
While adding predictor variables to a multiple regression model can potentially decrease the adjusted R², it can also increase it if the added predictors contribute significantly to the explained variance. The statement is not entirely correct.
The statement "adding predictor variables to a multiple regression model can only decrease the adjusted R²" is not entirely correct. Let me explain why:
When you add a predictor variable to a multiple regression model, the R² value, which represents the proportion of the variance in the dependent variable that is explained by the predictor variables, may increase or stay the same. However, it cannot decrease.
The adjusted R², on the other hand, takes into account the number of predictor variables in the model and adjusts the R² value accordingly.
As we add more predictors, there's a chance that the adjusted R² may decrease if the additional predictors do not contribute significantly to the explained variance.
However, it is not true that adding predictors can "only" decrease the adjusted R².
If the added predictor variables provide substantial power and improve the model, the adjusted R² can increase.
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The student's statement that "adding predictor variables to a multiple regression model can only decrease the adjusted R2" is not entirely correct.
While it is true that adding irrelevant predictor variables can decrease the adjusted R2, adding relevant predictor variables can increase or at least maintain the adjusted R2. This is because the adjusted R2 measures the goodness of fit of a regression model, taking into account the number of predictor variables and sample size. Therefore, if the added predictor variable has a significant relationship with the dependent variable, it can improve the model's ability to explain variance and increase the adjusted R2.
In summary, the effect of adding predictor variables on adjusted R2 depends on their relevance to the dependent variable and the existing predictor variables in the model.
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a woman sold an article for 400.00and made a profit of 25%,Find ty cost price and profit
Answer:
$100 profit, $300 cost
Step-by-step explanation:
So 25% of $400 is $100, now we know she made $100 on the article
and the other $300 was the amount used to make the article i'm asuming
A woman sold an article for 400.00
made a profit of 25%
Cost price and profit is $100 profit, $300 cost.
What are the 4 types of profit?There are four levels of profit or profit margins: gross profit, operating profit, pre-tax profit, and net profit.
These are reflected on a company's income statement in the following sequence: A company takes in sales revenue, then pays direct costs of the product of service.
What is profit and example?Profit is a term that often describes the financial gain a business receives when revenue surpasses costs and expenses. For example, a child at a lemonade stand spends one quarter to create one cup of lemonade. She then sells the drink for $2. Her profit on the cup of lemonade amounts to $1.75.
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Is 13 a solution to the following: a > 13
O Yes
Ο Νο
hellllppppp me plssss
Answer:
\( \huge \: 44.4\)Step-by-step explanation:
to understand thisyou need to know about:trigonometryequationPEMDAStips and formulas:\( \sin( \theta) = \frac{opp}{hypo} \)given:opp:7hypo:10let's solve:\( \sin( \theta) = \frac{7}{10} \)
\( \theta = asin( \frac{7}{10} )\)
\( \theta = 44.4^{o} \)
Show the value of 4/3 ÷ 2/5. show reasoning
Answer:
\(3\frac{1}{3}\)
Step-by-step explanation:
Dividing fractions is like multiplying the reciprocal of the second number
For example: \(\frac{36}{3}\) divided by \(\frac{24}{6}\)
Multiply the reciprocal, which is 6/24
\(\frac{36}{3} * \frac{6}{24} ,\) Find divisible diagonal factors. Divide by 3 diagonally and divide by 12 diagonally
\(\frac{3}{1} * \frac{2}{2} = 3\)
You can check by making 36/3 to 12 and 24/6 to 4.
12/4 = 3
In the same way:
\(\frac{4}{3} /\frac{2}{5} = \frac{4}{3} * \frac{5}{2} =\)
Divide by 2 diagonally
\(\frac{2}{3} * \frac{5}{1} =\frac{10}{3} = 3\frac{1}{3}\)
The answer is \(3\frac{1}{3}\)
Hope this helps :)
Have a nice day!
1 point
4. One printing machine printed 1680 books in 70 hours this week. A
second printing machine printed for 50 hours this week but printed books at twice the hourly rate of the first machine. How many books did the second machine print this week?
Answer:
Find the unit rate of each printing machine and compare.
Step-by-step explanation:
Answer:
2400
Step-by-step explanation:
Line CD passes through points C(3, -5) and D(6, 0) . what is the equation of the line CD in standard form?
Answer:
Option 2: 5x - 3y = 30
Step-by-step explanation:
Step 1: Find slope
(0-(-5))/(6-3) = 5/3
Step 2: Find b
y = 5/3x + b
0 = 5/3(6) + b
b = -10
Step 3: Write in slope-intercept form
y = 5/3x - 10
Step 4: Move x over
-5/3x + y = -10
Step 5: Multiply by -3 on both sides
5x - 3y = 30
And we have our final answer!
please view the image below and show work for a brainlist :))
Step-by-step explanation:
calculate the difference in level of water : (68.1-52.5)mL = 15.6mL ( volume)
mass of the rock = 27.69g
density = mass/volume
=> (ρ) = 27.69/15.6 = 1.775g/mL or 1.775g/cm³(1cm³=1mL).
hope this helps you.
Using π = 3. 142, calculate the total surface area of a sphere with a radius of 6cm, correct to 3 significant figures
The total surface area of the sphere with a radius of 6cm, correct to 3 significant figures, is approximately 452 cm^2.
The formula for the surface area of a sphere is:
A = 4πr^2
where A is the surface area and r is the radius.
Substituting π = 3.142 and r = 6cm, we get:
A = 4 x 3.142 x 6^2
= 452.39 cm^2
Rounding to 3 significant figures gives:
A ≈ 452 cm^2
Therefore, the total surface area of the sphere with a radius of 6cm, correct to 3 significant figures, is approximately 452 cm^2.
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35m 48cm to cm ,,, 35m 48cm to m
48m 7cm to cm ,,, 48m 7cm to m
13m 97cm to cm ,,,, 13m 97cm to m
plss do and send
its urgent
If u type something not related to this question u will be reported
Answer:
(I)3548 ,,,,,,48.35
(ii) 4807,,,,,,7.48
(iii)1397,,,,,,,97.13
x^3 = -27 whats the answer
Answer:
-3
Step-by-step explanation:
The answer is -3 because -3 *-3 * -3 would equal -27
Hope this helps:)
In ΔNOP, p = 85 inches, ∠O=57° and ∠P=113°. Find the length of o, to the nearest 10th of an inch.
Answer:
77.4
Step-by-step explanation:
Answer:
1.2
Step-by-step explanation:
Delta math :)