Required line is : \(y+2 = \frac{5}{3} x\)
What do you mean by slope-intercept form?
The line with m as the slope, m and c as the y-intercept is the graph of a linear equation y = mx + c. The values of m as well as c are real numbers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of a location where the line's graph crosses the y-axis.
Given , Slope, m = 5/3
Required line passes through (0,-2) and has slope m = 5/3.
So, Required line is : \(y+2 = \frac{5}{3} x\)
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which of the following is an atomic orbital? [select all that apply] group of answer choices π*2pz σ2px 2s π2py σ1s 3px σ*2px
Atomic orbitals are regions around an atomic nucleus where electrons are likely to be found. They have different shapes and energy levels, determining an electron's position and behavior within an atom.
Based on the given answer choices, the atomic orbitals are:
1. σ2px
2. 2s
3. π2py
4. σ1s
5. 3px
6. σ*2px
These are atomic orbitals because they describe the wave function of an electron in an atom, using a combination of quantum numbers (n, l, and m) and the type of orbital (s, p, or d). σ and π represent bonding and antibonding orbitals, respectively, while the asterisk (*) denotes an antibonding orbital.
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What is the rate of change for the linear relationship modeled in the table?
x y
-1 10
1 9
3 8
5 7
A -1/2
B 0
C 1/2
D 2
Use the first and lay set of x,y values.
Rate of change is change in y/ change in x:
7-10 / 5- -1 = -3/6 = -1/2
The answer is A.-1/2
Suppose we deal a 5-card hand from a regular 52-carddeck. Which islarger, p(2 access) or p(3 diamonds)?
The probability of p(2 aces) is greater than the probability of p(3 diamonds).
Probability is the chance of happening an event or incident. The probability of an event can be calculated by the ratio of the number of favorable events to the total number of events in that sample space.
A deck of cards always has 52 cards.
Out of those 52 cards, there are 4 different aces.
The deck of cards also contains 13 diamonds.
Therefore, the probability of p(2 aces) is the probability of getting at least 2 aces in that 5-card hand is = 2/4 = 1/2 = 13/26.
Now, the probability of p(3 diamonds) is the probability of getting at least 3 diamonds in that 5-card hand is= 3/13 = 6/26.
If we compare these two probabilities, it is clear that the probability of p(2 aces) is greater than the probability of p(3 diamonds).
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Ms. Hernandez began her math class by saying:
I'm thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?
What is the 5th number Ms. Hernandez is thinking of?
A. 13
B. 14
C. 15
D. 16
E. 18
Ms. Hernandez began her math class by saying: I'm thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14 then, the 5th number is 18. The correct answer is option E.
Since there are five numbers and the middle is the center esteem when the numbers are organized in arrange, the center esteem must be one of the given values: 8, 14, 14, or 16.
The cruel of five numbers is the whole of the numbers isolated by 5. On the off chance that the cruel break even with the middle, at that point the whole of the five numbers must rise to five times the middle.
The whole of the primary four numbers is:
14 + 8 + 16 + 14 = 52
So, the fifth number must be:
5 × 14 - 52 = 18
Hence, the reply is E. 18.
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Find the direction cosines and direction angles of the vector. \[ (8,3,-2) \] \[ \cos (\alpha)= \] \[ \cos (\beta)= \]
The direction cosines are\[\cos (\alpha) = \frac{8}{\sqrt {73} },\]\[\cos (\beta) = \frac{3}{\sqrt {73} }\]. The direction angles of the vector are\[\alpha = \cos ^{ - 1}\left( {\frac{8}{{\sqrt {73} }}} \right),\]\[\beta = \cos ^{ - 1}\left( {\frac{3}{{\sqrt {73} }}} \right).\]
Given the vector is \[(8,3,-2)\].We have to find the direction cosines and direction angles of the given vector.Using the following formulae to calculate direction cosines:\[\cos \alpha = \frac{{{x}}}{r}, \cos \beta = \frac{{{y}}}{r},\cos \gamma = \frac{{{z}}}{r}\]where x, y, and z are the components of the vector and r is the magnitude of the vector.Hence, the magnitude of the given vector is\[r = \left| {\left( {8,3, - 2} \right)} \right| = \sqrt {8^2 + 3^2 + ( - 2)^2} = \sqrt {73} \]
Therefore, the direction cosines are as follows:\[\cos (\alpha) = \frac{8}{\sqrt {73} },\] \[\cos (\beta) = \frac{3}{\sqrt {73} },\] \[\cos (\gamma) = - \frac{2}{\sqrt {73} }\]Now we have to find the direction angles which is as follows:\[\cos (\alpha) = \frac{8}{\sqrt {73} } = \cos \left( {\frac{\pi }{2} - \alpha } \right)\]and also\[ \cos (\beta) = \frac{3}{\sqrt {73} } = \cos \left( {\frac{\pi }{2} - \beta } \right)\]Let \alpha and \beta be the angles that the vector makes with the positive x-axis and positive y-axis respectively.Then, the direction angles are\[\alpha = \cos ^{ - 1}\left( {\frac{8}{{\sqrt {73} }}} \right),\beta = \cos ^{ - 1}\left( {\frac{3}{{\sqrt {73} }}} \right)\]Thus, the direction cosines are\[\cos (\alpha) = \frac{8}{\sqrt {73} },\]\[\cos (\beta) = \frac{3}{\sqrt {73} }\]
And the direction angles are\[\alpha = \cos ^{ - 1}\left( {\frac{8}{{\sqrt {73} }}} \right),\]\[\beta = \cos ^{ - 1}\left( {\frac{3}{{\sqrt {73} }}} \right).\]
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find the centroid of the region bounded by the given curves y = sin x y = cos x
The centroid of the region bounded by the curves y = sin x and y = cos x is (π/4, 0).
The given curves are y = sin x and y = cos x. The graph of these curves is shown below: Region bounded by the curves: y = sin xy = cos x
To find the centroid of the region bounded by the curves y = sin x and y = cos x, we need to first find the equation of the line of symmetry of this region. Since the curves are symmetrical with respect to the line x = π/4, this line of symmetry is given by x = π/4.
The centroid of the region bounded by the curves is the point of intersection of the lines x = π/4 and y = (1/2π) ∫sin x - cos x dx.
Since we have the bounds of the integral as
π/4 and 5π/4, the integral becomes: (1/2π) ∫sin x - cos x dx = (1/2π) [(-cos x - sin x)|π/4^5π/4](1/2π) [(-cos 5π/4 - sin 5π/4) - (-cos π/4 - sin π/4)] = (1/2π) [(-(-1)/√2 - (-1)/√2) - (1/√2 - 1/√2)] = (1/2π) (0) = 0.
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NO LINKS PLEASE- OR I SWEAR-
What is the median (Q2) of this data set?
(TYPE the NUMBER)
Answer:
70 or 75 70 is on there so that my best answer
Step-by-step explanation:
Which is solution to the question (x-3)(x-5)=35
X = -8
X = -5
X = 2
X = 10
can someone help me please?
Answer: > (1st answer choice)
Step-by-step explanation: 0.9 is greater than 0.81
7+5-3*2(6*7)/4
• convert the above specified infix expression into
postfix expression
• Evaluate the resulted postfix expression
• convert the specified infix expression into prefix
expres
The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".
To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.
The postfix expression for the given infix expression is:
"7 5 + 3 2 * 6 7 * 2 * - 4 /"
To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.
Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.
We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.
To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.
The prefix expression for the given infix expression is:
"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"
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Find the perimeter and area of each triangle.
B. Volume Calculations:
The largest teacher that is being dunked can be modeled by a cylinder that has a diameter of 2.5 feet
and a height of 6.5 feet. Determine the estimated volume of the teacher (in cubic feet) and ROUND your
answer to the nearest cubic foot (no decimal places). Label this calculation "Teacher Volume" and show
the entire calculation on the design sheet. Your tank should hold three times as much water as the
volume of the teacher found above (use the rounded value). Label this calculation "Water Volume"
include this calculation on the design sheet.
and
The water Volume required for the tank is 78 cubic feet. And the teacher volume is 25.72 cubic feet.
The volume of the teacher, we can use the formula for the volume of a cylinder: V = πr^2h
where V is the volume, r is the radius, and h is the height of the cylinder.
Given that the diameter of the cylinder is 2.5 feet, we can find the radius by dividing the diameter by 2:
radius (r) = diameter / 2 = 2.5 / 2 = 1.25 feet
The height of the cylinder is given as 6.5 feet.
Substituting these values into the volume formula, we get:
Teacher Volume = π * (1.25)^2 * 6.5
Calculating this, we find:
Teacher Volume ≈ 25.72 cubic feet
Rounding this to the nearest cubic foot, the estimated volume of the teacher is 26 cubic feet.
Now, to calculate the water volume for the tank, we are told that it should hold three times as much water as the volume of the teacher.
Water Volume = 3 * Teacher Volume
= 3 * 26
= 78 cubic feet
Therefore, the water volume required for the tank is 78 cubic feet.
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ayuda!!
lo necesito antes del 17 de febrero jeje
The americans with disabilities act sets a maximium angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to occomidate a ramp that goes up to a door.
Answer:
d = 48.03 feet
Step-by-step explanation:
Given that,
The maximum angle for a wheelchair ramp entering a business at 4.76 degrees.
We need to find the horizontal distance needed to accomidate a ramp that goes up to a door 4 feet of the ground.
We can solve it using trigonometry.
\(\tan\theta=\dfrac{h}{d}\)
Where
h is height
d is the angle of elevation
\(d=\dfrac{h}{\tan\theta}\\\\d=\dfrac{4}{\tan(4.76)}\\\\d=48.03\ ft\)
So, the horizontal distance is equal to 48.03 feet.
Find the area of the shaded polygons
Answer:
40 Square Units
Step-by-step explanation:
Easy way to find area: Diagonal 1 * Diagonal 2 divide by 2 = your answer
Diagonal 1 (AC) = 5 + 5 = 10
Diagonal 2 (BD) = 4 + 4 = 8
10 + 8 = 80, 80/2 = 40
Answer: 40 square units
an airplant leaves new york to fly to los angeles. it travels 3850 km in 5.5 hours. what is the average speed if the airplane
The average speed if the airplane when it travels 3850 km in 5.5 hours is 700 km per hours.
To calculate the average speed of the airplane, we can use the formula:
Average Speed = Distance Traveled / Time Taken
In this case, the distance traveled by the airplane is 3850 km, and the time taken is 5.5 hours. Let's substitute these values into the formula
Average Speed = 3850 km / 5.5 hours
Calculating the average speed
Average Speed = 700 km/h
Therefore, the average speed of the airplane from New York to Los Angeles is 700 km per hours.
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A cyclist travels at 10 km/hr for 2 hours and then at 13 km/hr for 1 hour.
Find his average speed.
Answer:
11.5 m/s
Step-by-step explanation:
which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an= -2 + (n-1)3?
Answer: C.\(\left \{ {{a1=-2} \atop {an=a(n-1)+3}} \right.\)
because it is the arithmetic progression with d = 3
=> a(n) = a1 + (n - 1).3
so, have: a1 = -2
an = a(n-1) + 3
Step-by-step explanation:
The high temperature on monday was -14 degrees. On Tuesday the high temperature was 24 degrees. Which integer represents the difference in high temperature on these 2 days?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The integer that represents the difference in high temperature from Monday to Tuesday is 38.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The high temperature on Monday was -14 degrees.
On Tuesday the high temperature was 24 degrees.
The temperature difference between Monday and Tuesday.
= Temperature on Tuesday - Temperature on Monday
= 24 - (-14)
= 24 + 14
= 38
Thus,
The integer that represents the difference in high temperature from Monday to Tuesday is 38.
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1st correcct will get brainliest
Answer:
it s A
Step-by-step explanation:
if the two to the power of ten is on the outside, you will always need to add that to the other powers of ten
Brianliest plz thanks
Adele is 5 years older than Timothy. In three years, Timothy will be 2/3 of Adele’s age. What is Adele’s current age?
Answer:
12 years old
Step-by-step explanation:
Answer:
Step-by-step explanation:
The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length? 4x + 6 4x – 6 2x + 3 2x + 6
Answer:
2x + 3
Step-by-step explanation:
two sides measure (x-1) which gives 2(x-1) or 2x - 2
subtract 2x - 2 from 6x + 4 to get 4x + 6
4x + 6 represents twice the length so divide it in half to get:
2x + 3
Answer:
The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length?
4x + 6 4x – 6 2x + 3 <<<CORRECT 2x + 6
Step-by-step explanation:
EDGE 2021
A ball bounces from a height of 8 feet. The ball bounces to 80% of its previous height with each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?
Answer:
2.6 feet
Step-by-step explanation:
At each point, there is a loss of 20% (since it flies to 80%)
a) 8 - 20% of 8
= 8-1.6 = 6.4
b) 6.4 - 20% of 6.4
= 5.12
c) 5.12 - 20% of 5.12
4.096
d) 4.096 - 20% of 4.096
3.2768
e) 3.2768 - 20% of 3.2768
= 2.62144 feet
A manufacturer can produce 4,860 cell phones when x dollars is spent on labor and y dollars is spent on capital. The model that represents the cost of producing the cell phones is given by 90x 4
3
y 4
1
=4860 A. Find the marginal cost model, in terms of x and y. dx
dy
= B. Find the marginal cost when $81 is spent on labor and $16 is spent on capital. Round the marginal cost to the nearest cent. $
the formula for dy/dx in terms of x and y is:
dy/dx = -3/(x) * y
the value of dy/dx at the point (81, 16) is - 16/27
To find the formula for dy/dx in terms of x and y, we'll differentiate the given equation with respect to x:
\((90x^{(3/4)})(y^{(1/4)})\) = 4860
Differentiating both sides with respect to x:
d/dx [\((90x^{(3/4)})(y^{(1/4)})\)] = d/dx [4860]
Using the product rule for differentiation:
(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\) + (90\(x^{(3/4)\))(1/4)(\(y^{(-3/4)\))(dy/dx) = 0
Simplifying:
(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\) + (90\(x^{(3/4)\))(1/4)(\(y^{(-3/4)\))(dy/dx) = 0
Rearranging terms and isolating dy/dx:
(dy/dx) = -[(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\)] / [(90\(x^{(3/4)}\))(1/4)(\(y^{(-3/4)\))]
Simplifying further:
(dy/dx) = -3/(x) * y
Therefore, the formula for dy/dx in terms of x and y is:
dy/dx = -3/(x) * y
Now let's find the value of dy/dx at the point (81, 16):
Substituting x = 81 and y = 16 into the formula:
dy/dx = -3/(81) * 16
= -3/81 * 16
= - 16/27
Therefore, the value of dy/dx at the point (81, 16) is - 16/27
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Bilquis owns a small business selling used books. She knows that in the last week 49 customers paid cash, 42 customers used a debit card, and 32 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Answer:
The probability that the next customer will pay with a credit card will be 0.26 or 26%.
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Bilquis owns a small business selling used books. She knows that in the last week 49 customers paid cash, 42 customers used a debit card, and 32 customers used a credit card.
Then the probability that the next customer will pay with a credit card will be
P
=
32
123
�
=
0.26
P=
123
32
P=0.26
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Step-by-step explanation:
I hope this helps :-)
Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. This week, she posted 1/3 of the remaining fliers. How many fliers has she still not posted?
The number of fliers that she has still not broadcasted will be 48 fliers.
What is Algebra?Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.
Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,
⇒ (1 - 1/5) x 90
⇒ (4/5) x 90
⇒ 72 fliers
This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,
⇒ (1 - 1/3) x 72
⇒ (2/3) x 72
⇒ 48 fliers
The number of fliers that she has still not broadcasted will be 48 fliers.
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Passing through (3, -3) and perpendicular to y=3x+5
Answer:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to y=3x−5. y=−13x−2
Step-by-step explanation:
Please help! Multiply the following two numbers in scientific notation.
Answer:
d) 5.88×10^9
Step-by-step explanation:
Answer:
d) 5.88 × 10⁻⁹
Explanation:
\(\rightarrow \sf \left(1.2\cdot 10^7\right)\left(4.9\cdot 10^2\right)\)
\(\sf apply \ exponent \ rule : a^b + a^c = a^{b + c}\)
\(\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7}\cdot \:10^{2}\)
\(\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7+2}\)
\(\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^9\)
\(\rightarrow \sf 5.88 \cdot \:10^9\)
Find the surface area of the figure. Do NOT include units.
The surface area of the rectangular prism figure is S = 838 cm²
Given data ,
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
So, the value of S is given by
The heights of the prism is represented as 7cm.
S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )
On simplifying the equation , we get
S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60
S = 838 cm²
Therefore , the value of S is 838 cm²
Hence , the surface area is S = 838 cm²
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Hide Time Remaining In determining whether or not the underlying assumptions in least squares regression have been met, which of the following statements is/are true? 1. If a residual plot has residuals that appear to be random scattered around the horizontal line at 0, then it is okay to assume that there is a linear relationship between the explanatory and response variables. II. If a residual plot has residuals that are spread further apart as the x variable increases, then the residuals do not have constant variability. OA. I only B. Both OC. II only OD. Neither
If a residual plot shows residuals that are randomly scattered around the horizontal line at 0, it suggests a linear relationship between the variables. The correct answer is A. I only.
The correct answer is A. I only. When assessing the underlying assumptions in the least squares regression, we look at the residual plot. If the plot shows residuals that appear to be randomly scattered around the horizontal line at 0, it indicates that there is a linear relationship between the explanatory and response variables.
This suggests that the assumption of linearity is met. However, the spread of residuals can vary, even in the presence of a linear relationship. Therefore, the presence of residuals that are spread further apart as the x variable increases do not necessarily violate the assumption of linearity. It indicates heteroscedasticity, which means the residuals do not have constant variability.
Hence, statement II is incorrect. Therefore, the correct answer is A. I only.
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