Answers
Answer:
-b-2≤8.5
hope this helps!
Answer:
The one on the upper right corner.
If you replace the values,
-b - 2 </= 8.5
-20 - 2 </= 8.5
-22 </= 8.5 which is true
Related Questions
Is the given point interior, exterior, or on the circle (x 2)2 (y - 3)2 = 81? p(8, 4) click on the graphic to choose the correct answer.
Answers
From the equation we see that the center of the circle is at (-2,3) and the radius is 9.
So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...
d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so
81=10^2+1^2
81=101 which is not true...
So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.
Thus the point lies outside or on the exterior of the circle...
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Can someone please help!
Answers
Answer:
Step-by-step explanation:
1) AD = DC Given
∠A = ∠C
2) ∠ADE = ∠CDF Vertically opposite angles
3) ΔADE ≅ ΔCDF Angle side Angle congruent ( A S A congruent}
Answer:
angle EDA congruent to angle FDC because vertical angles
Trangle ADE is congruent to CDF because ASA congruence
Step-by-step explanation:
angle EDA will always be congruent to angle FDC cause they're made up of the same lines forming 2 angles (vertical angles)
and then you have 2 angles as one side which is enough to prove they're congruent and the proved angles/sides are in the order Angle Side Angle (ASA)
probably didn't make sense but hope it did
You take your brother and sister to a ballgame and buy them hats and shirts. The
shirts cost $11 each. Your brother wants 3 shirts and 4 hats while your sister
wants 2 hats and 2 shirts. If your total bill was $115, how much is a hat? *
Answers
Answer:
10$ per hat
Step-by-step explanation:
11$ x 5(shirts) = 55
115-55=60
60$ divided by 6(hats) = 10$ per hat
an inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 8 cm, and the height is 14 cm. find the rate at which the water level is rising when the water level is 6 cm.
Answers
The rate at which the water level is rising when the water level is 6 cm is approximately 2.67 cm/s. if an inverted pyramid is filled with water at a constant rate of 55 cubic centimeters per second, the top of pyramid is in square shape with length of 8 cm and height of 14 cm.
Let's call this rate "r".
Volume of pyramid = (1/3) * base area * height
Since the pyramid has a square base, the base area is given by
Base area = (side length)^2
Substituting the given values
Base area = (8 cm)^2 = 64 cm^2
Height = 14 cm
V = (1/3) * 64 cm^2 * 14 cm = 298.67 cm^3
We know that the water is being added to the pyramid at a constant rate of 55 cm^3/s. Therefore, the rate at which the volume is increasing is
dV/dt = 55 cm^3/s
We also know that the volume of water in the pyramid at any given time is given by
V_water = (1/3) * base area * h_water
where h_water is the height of the water at that time.
To find the rate at which the water level is rising (r), we need to find dh_water/dt. We can do this by taking the derivative of both sides of the equation for V_water with respect to time
dV_water/dt = (1/3) * base area * dh_water/dt
Substituting the known values
dV_water/dt = (1/3) * (8 cm)^2 * dh_water/dt
dV_water/dt = (64/3) cm^2 * dh_water/dt
dh_water/dt = 3 * dV_water/dt / 64
dh_water/dt = 3 * 55 cm^3/s / 64 = 2.67 cm/s
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What are the 4 types of quotient?
Answers
The four types of quotients are Intelligent quotient, Emotional quotient, Social quotient, Adversity quotient.
Types of quotients :In Psychology, there are four types of quotients that can be defined as given below
1. Intelligent quotient:
It measures a person's understanding capacity to solve math problems, remember information, and recall subject matter.
Even if he has an ordinary IQ, a guy with a high Emotional Quotient and Social Quotient may wind up working for a man with a high IQ.
2. Emotional quotient:
The capacity to keep one's word, stick to the schedule, be accountable, be truthful, respect limits, and be modest, sincere, and compassionate.
3. Social quotient:
This is a test of your capacity to establish and sustain a friendship group over an extended length of time.
4. Adversity quotient:
A person's capacity to navigate challenging circumstances in life and emerge unscathed. Those with a high quotient of adversity are likely to quit when things go tough, to leave their family.
The four types of quotients are Intelligent quotient, Emotional quotient, Social quotient, Adversity quotient.
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Solve 4(9)^x =2,916 , for x
Answers
Hope this helps :)
A. car at the bottom of a 54 meter long hill starts at rest and then starts traveling up the hill. It takes the car takes 3.2 seconds to reach the top of the hill What is the acceleration of the block
Answers
The acceleration of the car uphill is 10.55 m/s².
Acceleration is the rate of change of velocity over time. It is a vector quantity, which means that it has both magnitude and direction. Acceleration is measured in meters per second squared (m/s²). Acceleration = Change in velocity/time taken for the change in velocity. a = Δv / t Where, a = acceleration, Δv = change in velocity, and t = time taken. From the question, the car starts from rest, so the initial velocity, u = 0 m/s. Time taken, t = 3.2 seconds. Distance traveled, s = 54 meters (length of the hill)Now, we can use the formula, s = ut + 1/2 at² to find the acceleration of the car. Substituting the given values, s = ut + 1/2 at² 54 = 0 × 3.2 + 1/2 a(3.2)² = 1/2 × 10.24 a a = 54 / 5.12 = 10.55 m/s². Therefore, the acceleration of the car is 10.55 m/s².
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The area of a rectangle is 27m and the length of the rectangle is 3m less then twice the width. Find the dimensions of the rectangle
Answers
Answer:
w = 4 1/2
l = 6
Step-by-step explanation:
w = width
2w-3 = length
A = lw
27 = w(2w-3)
27 = 2w² - 3w
subtract 27 from each side:
2w² - 3w - 27 = 0
factor:
(2w-9)(w+3) = 0
solve each for 'w':
w = 9/2
w = -3 (This answer can be discounted because a length cannot be negative)
width = 9/2
length = 2(9/2) - 3 which is 6
10. Nine more than three times a number is -6._
a
Answers
Answer:
3n + 9 = -6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the number = x
3x + 9 = 2x - 6 Looks like you are going to get something negative here.
Subtract 2x from both sides.
3x - 2x + 9 = 2x - 2x - 6
x + 9 = -6
Subtract 9 from both sides.
x + 9 - 9 = - 6 - 9
Combine
x = - 15
5. A shopkeeper makes 10% profit by selling a product for Rs. 550. Find the cost price of the product.
a) Rs. 500 b) Rs. 525
c) Rs. 550 d) Rs. 475
Answers
The cost price of the product is A. Rs. 495
What is Cost Price?Cost Price is the amount of money that is spent to produce goods or services before any profit is added for the manufacturer or producer,
What is Selling Price?Selling Price is the amount pay to purchase a product or service by buyers.
How to determine this
Where the Selling price = Rs. 550
Profit = 10%
i.e 10/100 *550
= 5500/100
Profit = Rs. 55
To calculate the Cost price
Cost price = Selling price - Profit
Cost price = 550 - 55
Cost price = Rs. 495
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The diameter of a softball is 9cm. Calculate the surface area.
Calculating the surface area (S.A.) of a sphere:
S.A. = 4πr²
Answers
The surface area of the softball is approximately 254.34 square centimeters.
To calculate the surface area of a softball, we can use the formula for the surface area of a sphere, which is S.A. = 4πr².
Given that the diameter of the softball is 9 cm, we can find the radius (r) by dividing the diameter by 2:
r = 9 cm / 2 = 4.5 cm
Now we can substitute the value of the radius into the surface area formula:
S.A. = 4π(4.5 cm)²
Simplifying further:
S.A. = 4π(20.25 cm²)
S.A. = 81π cm²
To calculate the numerical value, we can use an approximation for π, such as 3.14:
S.A. ≈ 81 * 3.14 cm²
S.A. ≈ 254.34 cm²
It's important to note that the result is an approximation due to using an approximation for π. Using more decimal places for π would yield a more precise value.
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a pie chart is a segmented circle that portrays the categories and relative sizes of some numerical variable. True or false?
Answers
True. A pie chart is a segmented circle that represents different categories and their relative sizes based on a numerical variable.
A pie chart is a circular statistical graphic divided into sectors, or "slices," which correspond to different categories or groups. The size of each sector is proportional to the value it represents within the given numerical variable. The chart is named after its resemblance to a sliced pie, with each slice representing a portion or percentage of the whole. Pie charts are commonly used to display data with discrete categories, such as survey results, market shares, or budget allocations. The length of each sector's arc is determined by the magnitude of the data it represents, allowing for easy visual comparison between categories. The whole pie represents 100% or the total of the variable being measured. By examining the relative sizes of the sectors, one can quickly understand the distribution and proportions of the categories being represented. Therefore, it is accurate to say that a pie chart is a segmented circle that portrays the categories and their relative sizes based on a numerical variable.
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Which of the following
is most likely the next step in the series?
Answers
Answer:
B.
Step-by-step explanation:
The numbers are always in the blue side, and the blue side starts at facing right, left, right, and then left.
"What set of reflections would carry hexagon ABCDEF onto itself?. . Hexagon ABCDEF on the coordinate plane with pointA at negative 1, 1, pointB at negative 3, 1, pointC at negative 4, 2, pointD at negative 3, 3, pointE at negative 1, 3, and pointF at 0, 2. . .x-axis, y=x, x-axis, y=x .. y=x, x-axis, y=x, y-axis .. y-axis, x-axis, y-axis .. x-axis, y-axis, y-axis ."
Answers
A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".
What is a combination of reflections?
Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.
Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.
One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.
This would take the hexagon from its original position to itself.
Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.
This would also take the hexagon from its original position to itself.
Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".
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You are trying to figure out some information dealing with the Sun, the Earth, and Earth’s moon, at a specific point. Since we know that the moon orbits the Earth, and the Earth orbits the Sun, these numbers change slightly throughout time. At this point, the moon is in the first quarter, lined up with Earth, and the angle created from the Earth, to the moon, to the sun is a perpendicular angle. The distance at this time from the Sun to the moon is 150 million km. The distance from the moon to the Earth is about. 384 million km. You need to find the distance from the Earth to the Sun. You will also need to list the following information, for future reference:
All side lengths
All angle measures
All trig functions (sin, cos, tan, csc, sec, cot) for:
The angle from moon, Earth, Sun
The angle from Earth, Sun, moon
Answers
The distance from the Earth to the Sun is approximately 412 million km.
To find the distance from the Earth to the Sun and calculate the remaining information, we can utilize basic trigonometry principles and the given distances.
Let's denote the distance from the Earth to the Sun as "x" (unknown), the distance from the Sun to the Moon as "y" (150 million km), and the distance from the Moon to the Earth as "z" (384 million km).
To determine the missing side lengths and angle measures, we can use the concept of right-angled triangles.
First, let's consider the triangle formed by the Moon, Earth, and Sun. The side lengths and angle measures are as follows:
Side lengths:
Moon to Earth (z) = 384 million km
Earth to Sun (x) = unknown (to be determined)
Sun to Moon (y) = 150 million km
Angle measures:
Angle at Moon (θ1) = 90 degrees (perpendicular angle)
Angle at Earth (θ2) = unknown (to be determined)
Angle at Sun (θ3) = 90 degrees (perpendicular angle)
Next, let's examine the triangle formed by the Earth, Sun, and Moon. The side lengths and angle measures in this triangle are:
Side lengths:
Earth to Moon (z) = 384 million km
Moon to Sun (y) = 150 million km
Sun to Earth (x) = unknown (to be determined)
Angle measures:
Angle at Earth (θ4) = 90 degrees (perpendicular angle)
Angle at Sun (θ5) = unknown (to be determined)
Angle at Moon (θ6) = 90 degrees (perpendicular angle)
To find the distance from the Earth to the Sun (x), we can use the Pythagorean theorem on the triangle involving the Moon, Earth, and Sun:
\(x^2 = z^2 + y^2\)
\(x^2\) \(= (384 million km)^2 + (150 million km)^2\)
\(x^2\) \(= 147,456,000,000,000 km^2 + 22,500,000,000,000 km^2\)
\(x^2\) \(= 169,956,000,000,000 km^2\)
Taking the square root of both sides:
x ≈ \(\sqrt(169,956,000,000,000 km^2)\)
x ≈ 412 million km (approximately)
Therefore, the distance from the Earth to the Sun is approximately 412 million km.
For the trigonometric functions, we can calculate them for the angles θ2 and θ5.
Trig functions for the angle from Moon, Earth, Sun (θ2):
sin(θ2) = Opposite/Hypotenuse = z/y = 384 million km / 150 million km
cos(θ2) = Adjacent/Hypotenuse = x/y = 412 million km / 150 million km
tan(θ2) = Opposite/Adjacent = z/x = 384 million km / 412 million km
csc(θ2) = 1/sin(θ2)
sec(θ2) = 1/cos(θ2)
cot(θ2) = 1/tan(θ2)
Trig functions for the angle from Earth, Sun, Moon (θ5):
sin(θ5) = Opposite/Hypotenuse = y/x = 150 million km / 412 million km
cos(θ5) = Adjacent/Hypotenuse = z/x = 384 million km / 412 million km
tan(θ5) = Opposite/Adjacent = y/z = 150 million km / 384 million km
csc(θ5) = 1/sin(θ5)
sec(θ5) = 1/cos(θ5)
cot(θ5) = 1/tan(θ5)
Please note that the trigonometric functions can be calculated using a calculator or software capable of performing trigonometric calculations.
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Saad has a jar of red and blue marbles. He knows that he has 8 red marbles for each blue marble. Saad also knows that he has 248 red marbles. How many blue marbles does he have?
Answers
Saad has a jar of red and blue marbles. He knows that he has 8 red marbles for each blue marble. He also knows that he has 248 red marbles. Therefore, Saad has 31 blue marbles.
Saad has a jar of red and blue marbles, and he knows that he has 8 red marbles for each blue marble.
He also knows that he has 248 red marbles. Thus, the number of blue marbles he has can be found out as follows:
Let the number of blue marbles Saad has be ‘B’. According to the problem, he has 8 red marbles for each blue marble.
Therefore, the number of red marbles he has would be 8 times the number of blue marbles he has. So, the equation is: Red marbles = 8 x Blue marbles. We know that he has 248 red marbles.
Therefore, the equation becomes:248 = 8 x Blue marbles. Simplifying, we get: Blue marbles = 248 ÷ 8Blue marbles = 31
Therefore, Saad has 31 blue marbles.
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The circumference of a circle of diameter 10 cm is _____.
A
3.14 cm
B
0.314 cm
C
314 cm
D
31.4 cm
Answers
For a circle with a diameter of 10 cm, the circumference would be C = π(10) = 31.4 cm. The correct option is (D) 31.4 cm.
The circumference of a circle can be calculated using the formula C = πd, where C represents the circumference and d represents the diameter of the circle.
We have the diameter of the circle is 10 cm, we can substitute this value into the formula:
C = π * 10 cm
Calculating the circumference using an approximate value of π as 3.14:
C ≈ 3.14 * 10 cm
C ≈ 31.4 cm
Therefore, the circumference of a circle with a diameter of 10 cm is approximately 31.4 cm.
The correct answer is D) 31.4 cm.
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How is ahow is a linear relationship between two variables measured in statistics? explain. select all the true statements.
Answers
The following are the linear relationships between two variables measured in statistics:
Correlation coefficients are a group of numerical measures of correlation.The correlation coefficient is between -1 and +1. Values near +1 or -1 indicate a strong linear relationship.The correlation coefficient remains constant when the values of x and y are swapped.What is a linear relationship?A linear relation, or simply relation, among elements of a vector space or a module, is a linear equation with these elements as a solution in linear algebra. A linear relationship (or linear association) is a numerical term that describes a two-variable relationship that follows a straight line. Linear relationships can be represented graphically or mathematically as the equation y = mx + b.So,
The following are the linear relationships between two variables measured in statistics:
Correlation coefficients are a group of numerical measures of correlation.The correlation coefficient is between -1 and +1. Values near +1 or -1 indicate a strong linear relationship.The correlation coefficient remains constant when the values of x and y are swapped.Therefore, the following are the linear relationships between two variables measured in statistics:
Correlation coefficients are a group of numerical measures of correlation.The correlation coefficient is between -1 and +1. Values near +1 or -1 indicate a strong linear relationship.The correlation coefficient remains constant when the values of x and y are swapped.Know more about the linear relationships here:
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Help pleaseeeee it’s on algebraic proofs
Answers
Answer:
Given
Addition
simplify
answer
Step-by-step explanation:
Answer:
1. Given
2.Addition
3. simplify
4. answer
Step-by-step explanation:
What is the value of x?
Answers
Answer: 44
Step-by-step explanation:
The office surface area is 256 square feet. Express the surface area in
square meters
Answers
256 square ft/10.764
23.782 square meters
Anya bought 1.4 pounds of peaches.She used0.37 pound in fruit saldad. how much is left?
Answers
Answer: 1.03
Step-by-step explanation: You have 1.4 pounds and you take away 0.37.
1.4-0.37 = 1.03
you have a set of numbers uniform between 0 and k. everyday you can choose a number, but you can only keep m numbers. every day, you can also discard a number. how will you maximize sum of m numbers
Answers
Calculate the average value of the numbers in the set. Since the numbers are uniformly distributed, the average will be (k/2).Start by selecting the m smallest numbers from the set..Compare the average value to the largest number among the selected m numbers. If the average value is greater, discard the largest number and replace it with a new number from the set.
To maximize the sum of m numbers from a set of uniformly distributed numbers between 0 and k, you can follow these steps:
1. Calculate the average value of the numbers in the set. Since the numbers are uniformly distributed, the average will be (k/2).
2. Start by selecting the m smallest numbers from the set.
3. Compare the average value to the largest number among the selected m numbers. If the average value is greater, discard the largest number and replace it with a new number from the set.
4. Repeat step 3 until you have iterated through all the numbers in the set.
By following these steps, you are ensuring that the m numbers you keep have the smallest values compared to the average value. This will help maximize the sum of the m numbers.
Please note that the solution assumes a uniform distribution and that the set contains enough numbers to choose from each day. Additionally, this answer is provided based on the given terms and may not necessarily be the most optimal strategy in all scenarios.
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Solve for u
24 =y6
u-
Answers
Answer:
4
Step-by-step explanation:
=> 24 = y(6)
=> y = 24/6 = 4
if you are going to receive $2,000 in six years from now, how much is that worth today, assuming 5 nnual simple interest? review later $1,538.46 $1,780.32 $1,904.76 $2,600.00
Answers
The initial amount is worth $ 1538.46
Simple interest:Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment, without taking into account any additional interest that may be added over time.
Simple interest is calculated as a percentage of the principal amount and is usually expressed as an annual rate.
The formula to calculate simple interest is:
Simple Interest = Principal x Rate x Time/ 100
Here we have
You are going to receive $2,000 in 6 years from now
The annual simple interest rate is 5%
Let 'P' be the initial or principal amount
Using the formula, I = PTR/100
Simple interest will gain on 'P' at 5% for 6 years
=> I = P(6)(5)/100
=> I = 0.3P
And total amount = P + 0.3P = 1.3P
It is given that after 6 years we get $ 2000
=> 1.3P = 2000
=> P = 1538.46
Therefore,
The initial amount is worth $ 1538.46
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Gasoline prices are given to the nearest thousandth of a dollar. If a gallon of gasoline costs $3.499 and increases $0.09, what is the price of gasoline after the increase?
(to the nearest thousandth of a dollar)
Answers
1.1.2 (x+3)(5-x) ≤0
Answers
(X+3)(5-x)≤0
Therefore, collecting like terms,
x+3 ≤ 0
x ≤ -3
OR 5 - × ≤ 0
-x ≤ -5
Dividing both sides by -1,
x ≥ 5
Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
Answers
Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
simplify 8(3x-4y+7) -2(3x+2y+8)
show how you got your answer
Answers
Answer:
Step-by-step explanation:
1
8
−
3
6
+
4
0
Develop a full regression model based on all the predictor variables indicated. Choose the right model equation below
A. Assessed Value = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+8.25*(Bedrooms) B. Asking Price = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+8.25*(Bedrooms)
C. Assessed Value = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+0.9677*(Bathrooms) D. Assessed Value = 244.4325 + 43.5532*(Size)+ 8.1910*(Bedrooms)+ 0.9677*(Bathrooms)
Q2. A review of the t-test on the significance of individual independent variable suggests that, based on the p-values
A. Only one of the independent variable possibly needs to be retained B. Two of the independent variables possibly needs to be retained C. None of the independent variables could be retained D. Three of the independent variables could be retained
Q3:
Choose the right option below. Based on the full regression model involving all of the independent variables
A. VIF for Size = 2.336, VIF for Fireplace = 1.121, VIF for bedrooms = 1.979
B. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885
C. VIF for Fireplace = 1.1873, VIF for bedrooms = 1.9885
D. None of the above
Q4: Based on VIF values, there is concern for collinearity in this dataset
A. True B. False
Q5:
Based on the normal probability plot, the normality assumption seems to be met
A. True
B. False
Q:7: Based on conducting residual analysis the model seems
Group of answer choices
Adequate
Inadequate
Violates Independence Assumption
Not enough information to assess the LINE assumptions
Answers
Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.
Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.
Q.4: Based on VIF values, there is concern for collinearity in this dataset. True
Q5: Based on the normal probability plot, the normality assumption seems to be met. True
Q7: Based on conducting residual analysis the model seems. Adequate.
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