if the height of a rectangular prism is doubled then the surface area of the prism is and I need work to PLEASE HELP ME
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ava pours 3 gallons of paint equally into 5 cans
A rectangular window is 1 meter high and 2 meters wide. What is the perimeter of the window in meters? What is it in centimeters?
I have created a triangular garden such that the largest side is 8m less than twice the smallest and the medium side is 12m larger than the smallest side. If the total perimeter of the garden is 104m, what are the lengths of the three sides?
A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 89 feet from a building and 115 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth.
Can someone help quickly plz
D^2+d-30/d^2+3d-40 + d^2+14d+48/d^2-2d-48
A. D^2+14d+16/(d+8)(d-8)
B. 2d^2+14d+16/(d+8)(d-8)
C.2d^2+15d+18/2d^2+d-88
D.2d^2+15d+18/(d+8)(d-8)
in a sentence,describe the relevant angle relationship in the diagram. that is,descr
Solve the inequalities by graphing. Select the correct graph. y > x y < -x
The solution to the system of inequalities y > x and y < -x is a V-shaped region in the second and fourth quadrants of the coordinate plane.
Graph attached.
To solve the system of inequalities graphically, you need to shade the regions on the coordinate plane that satisfy both inequalities.
The first inequality is y > x. This means that all points above the line y = x satisfy this inequality.
The second inequality is y < -x. This means that all points below the line y = -x satisfy this inequality.
Now, let's graph both lines and shade the regions that satisfy both inequalities:
Graph the line y = x. This is a straight line with a slope of 1 that passes through the origin (0,0) and goes up and to the right.
Graph the line y = -x. This is also a straight line with a slope of -1 that passes through the origin (0,0) and goes down and to the right.
Graph attached.
The shaded region that satisfies both inequalities is the area between these two lines, below y = -x, and above y = x.
It forms a V-shaped region in the second and fourth quadrants of the coordinate plane.
Therefore, the correct graph should show the shaded V-shaped region that represents the solution to the system of inequalities.
Graph attached.
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Plzz plzzzzz help !!
True: If it is a function
False: If it is not a function
{(2, 3), (4, 5), (4, 3), (3, 4)}
Josef says that the range for the car data is greater than the range for the minivan data because the box in the box plot for the car data is wider. Which explains Josef’s error?
Answer:
its a ik it
Step-by-step explanation:
Find the coefficient of x 4 in the taylor series expansion centered at the origin for the function f(x) = 8 ln(9 + 3x 2 ).
The coefficient of x4 in the Taylor series expansion of the given function is 0.
Explanation:To find the coefficient of x4 in the Taylor series expansion of the function f(x) = 8 ln(9 + 3x2), we need to compute the fourth derivative of f(x) and evaluate it at x = 0.
The Taylor series expansion for a function centered at the origin is given by:
f(x) = f(0) + f'(0)x + f''(0)x2/2! + f'''(0)x3/3! + f''''(0)x4/4! + ...
In this case, we have:
f'''(x) = 48x/(9 + 3x2)
Evaluating f'''(x) at x = 0 gives:
f'''(0) = 0/9 = 0
Therefore, the coefficient of x4 in the Taylor series expansion centered at the origin for the function f(x) = 8 ln(9 + 3x2) is 0.
How many positive integers between 100 and 999 inclusive are divisible by three or four?
The total number of positive integers between 100 and 999 inclusive that are divisible by 3 or 4 is 450.
Explanation:The problem is looking for positive integers between 100 and 999 inclusive, that are divisible by three or four. First, we find out how many numbers between 100 and 999 are divisible by 3 by using the formula: (Last Numbers - First Number) divided by the number you are dividing + 1. Hence, [tex](999 - 102) / 3 + 1 = 300.[/tex] Similarly, for numbers divisible by 4: (996 - 100) / 4 + 1 = 225. However, we must subtract out the numbers that are counted twice because they are divisible by both 3 and 4 (i.e., divisible by 12). To find this, we do [tex](996 - 108) / 12 + 1 = 75.[/tex]
In conclusion, we add the numbers divisible by 3 and those divisible by 4 and subtract the ones that are divisible by both (12). Hence, the total number of positive integers between 100 and 999 inclusive that are divisible by 3 or 4 is [tex]300 + 225 - 75 = 450.[/tex]
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Which expression is equivalent to (2mn)^4/6m^-4n^-2? Assume m=/0 n=/0.
Eric and his work crew have 50 trees to plant. In 8 hours today, they planted 40 trees. If they work at the same rate tomorrow, how long will it take to finish planting the trees? 2 hours
Answer:
a.) 2 hours to finish planting trees
Suppose you are climbing a hill whose shape is given by the equation z = 1400 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (100, 120, 1206). the positive x-axis points east and the positive y-axis points north. (a) if you walk due south, will you start to ascend or descend?
If walking due south from the point (100, 120, 1206) will cause you to descend, as the slope of the hill in the southward direction is negative.
To determine whether you will ascend or descend when walking due south from the point (100, 120, 1206), we need to consider the slope of the hill in the southward direction, which corresponds to the negative y-direction.
Given the equation of the hill's shape: [tex]\[ z = 1400 - 0.005x^2 - 0.01y^2 \][/tex]
We can find the slope in the y-direction (southward) by taking the partial derivative of z with respect to y:
[tex]\[ \frac{\partial z}{\partial y} = -2 \cdot 0.01 \cdot y \][/tex]
Evaluating this derivative at the point (100, 120, 1206) gives us the slope in the y-direction at that point:
[tex]\[ \frac{\partial z}{\partial y}\Bigg|_{(100, 120, 1206)} = -2 \cdot 0.01 \cdot 120 = -2.4 \][/tex]
Since the slope is negative, this means that as you move in the positive y-direction (northward), the height z decreases. Conversely, moving in the negative y-direction (southward) will also result in a decrease in height z, because the slope is linear and does not change direction.
Therefore, walking due south from the point (100, 120, 1206) will cause you to descend, as the slope of the hill in the southward direction is negative.
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Select the graph for the solution of the open sentence. Click until the correct graph appears. 3|x| > 6
Answer:
Given equation,
3|x| > 6 -----(1)
∵ [tex]\frac{1}{3}>0[/tex]
Thus, multiplying both sides of inequality (1) by [tex]\frac{1}{3}[/tex]
We get,
[tex]|x| > 2[/tex]
⇒ 2 < x or 2 < - x
⇒ 2 < x or -2 > x (when a > b where a > 0, b > 0, If c < 0 ⇒ ac < bc),
⇒ (2, ∞ ) ∪ (-∞, -2)
By plotting the above interval in the number line we can get the graph of the given equation ( shown below )
In a normal distribution, most numbers in the data set fall within one standard deviation of the mean. True or False
Answer:
True
Step-by-step explanation:
how to do midpoint and distance formula
Final answer:
The midpoint formula calculates the center point between two points on a coordinate plane, while the distance formula calculates the distance between two points using the Pythagorean theorem.
Explanation:
Understanding the Midpoint and Distance Formulas
The midpoint formula is used to find the exact center point between two defined points on a coordinate plane. To find the midpoint (M) between two points, (X1, Y1) and (X2, Y2), you use the formula:
M = ((X1 + X2) / 2, (Y1 + Y2) / 2)
For example, to find the midpoint between the points (2, 3) and (4, 8), you would calculate:
M = ((2 + 4) / 2, (3 + 8) / 2) = (3, 5.5)
The midpoint between these points is at coordinates (3, 5.5).
The distance formula, on the other hand, is used to determine the distance between two points on a coordinate plane.
The formula is derived from the Pythagorean theorem and is written as:
D = \(√((X2 - X1)^2 + (Y2 - Y1)^2)\)
Using the above points, the distance (D) would be:
D = \(√((4 - 2)^2 + (8 - 3)^2)√ = \(√(4+25) = \(√29\)√
The distance between the two points is the square root of 29.
Practicing these formulas enhances your problem-solving skills and helps in many areas of mathematics, including geometry and algebra.
Point T' has coordinates (-3, 4). If it was translated up 3 units, what were the coordinates of its pre-image?
(0, 4)
(-3, 7)
(-3, 1)
(-6, 4)
Answer: the answer is (-3, 1)
yes I know I am late :)
What rigid transformation would map ABC to EDC?
Answer: D is the answer
Step-by-step explanation:
what is the variable in this algebraic expression 8+6, 4d-2, 7r-15=6, 11+14=25
For this case we have that by definition, a variable is a symbol that can be replaced or that takes a numerical value in an equation or expression, mathematical in general.
Then we have the following options:
A) [tex]8 + 6[/tex]
It is a sum of two real numbers. There are no variables.
B)[tex]4d-2[/tex]
In this case the variable is "d"
C) [tex]7r-15 = 6[/tex]
In this equation, the variable is represented by "r"
D) [tex]11 + 14 = 25[/tex]
It is a sum of two real numbers. There are no variables.
Answer:
A) There are no variables
B) "d"
C) "r"
D) There are no variables
How do you write 5.82 × 10^3 in standard form?
What is the least common denominator of the equation 2/9x+2/3x=7
A football stadium holds 52,000 fans. A college student is doing research and determines that on any given game day, the home team has five times as many fans as the visiting team. In order to help the student in his research, he represents the number of home team tickets as H and the visiting team’s tickets as V.
a magazine contains fourteen pages. You open to a random page, the page number is three or seven..... where do i start i need to show work
△ABC is reflected to form △A′B′C′ . The vertices of △ABC are A(−7, 1) , B(−5, −3) , and C(−3, 2) . The vertices of △A′B′C′ are A′(−7, −1) , B′(−5, 3) , and C′(−3, −2) . Which reflection results in the transformation of △ABC to △A′B′C′ ?
pete's pools installs rectangular pools that are all 10 feet wide. the length can vary from 10 feet to 30 feet. the company installed a pool with a perimeter of 76 feet. what was the length of the pool ?
The length of pool is 28 feet.
What is perimeter?The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.
Given rectangular pool
width of pool is 10 feet,
and length is between 10 to 30 feet
perimeter of pool = 76 feet
perimeter = p = 2(l + b)
where l = length and b = breadth/width
76 = 2(l + 10)
l + 10 = 38
l = 38 - 10
l = 28 feet
Hence length of pool is 28 feet.
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