This is due today. PLEASE HELP
Answer:
The first, third, fifth and 6th statements are true.
Step-by-step explanation:
Answer:
Here are the ones you should select:
The slope of AB is equal to slope of ACThe slope of AB is equal to the slope of the lineSlope of the line is equal to BE/AEThe slope of the line is equal to CD/ADStep-by-step explanation:
1) The slope of AB is equal to slope of AC
Rise over run for AB =2/4=1/2
Rise over run for AC=3/6=1/2
so they are equal
2) Slope of AB is not equal to BE because of visual reasons but if you need an explanation I can provide it
3) AB is a segment on the line, so the slopes are equal as you can see in the illustration provided in the question
4/5) Slope=\(\frac{rise}{run}\), but AE/AB is not that, BE/AB is rise/run, so it's correct
6) CD/AD=rise/run, so it's correct
sorry if i got anything wrong!
2/11 rounded to the nearest thousand
Answer:
0
Step-by-step explanation:
30 points brainliest, whats the answer?
many quantitative models of decision theory are based on comparing a single measure of effectiveness, generally some form of utility to the decision maker.a. true b. false
The statement many quantitative models of decision making are based on comparing a single measure of effectiveness, generally some form of utility to the decision maker is true. So, the correct optio is option a. true.
Many quantitative models of decision theory, such as Expected Utility Theory and also Multi-Attribute Utility Theory, involve comparing a single measure of effectiveness, typically some form of utility, to the decision maker. This allows for the evaluation and comparison of different options based on their expected outcomes and potential risks.
It helps the decision maker determine the best course of action.
Decision theory is a branch of probability. It is concerned with analytic philosophy. It deals with the decision making processes based on probabilities depending on the various factors and the numerical consequences of the outcome.
Therefore, the statement about the decision theory based on comparing a single measure of effectiveness is true.
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determine the minimum number of terms needed toestimate the sum of the convergent alternating serieswith an absolute error of less than 0.001:
To estimate the sum of a convergent alternating series with an absolute error of less than 0.001, we can use the Alternating Series Estimation Theorem.
This theorem states that the error made by approximating the sum of an alternating series with the nth partial sum is less than or equal to the absolute value of the (n+1)th term.
In other words, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that |a(n+1)| < 0.001, where a(n) is the nth term of the alternating series.
Then, using the Alternating Series Test, we know that the terms of the series must approach zero as n goes to infinity. So, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that:
|a(n+1)| < 0.001
Now, we can rearrange this inequality to solve for n:
|a(n+1)| < 0.001
a(n+1) < 0.001 (since the series is alternating)
(-1)(n+1) * a(n+1) < 0.001 (-1 to account for the alternating signs)
a(n+1) > -0.001
Since the terms of the series are decreasing in magnitude, we can assume that the smallest value of |a(n+1)|. Therefore, we can set n = 1 to get:
|a(2)| < 0.001
|(-1)2 * a(2)| < 0.001
|a(2)| < 0.001
So the absolute error will be less than 0.001 if we use the first two terms of the series to estimate the sum.
The total of the convergent alternating series can be estimated with a minimum of two terms and an absolute error of less than 0.001.
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A network's physical topology describes how signals travel electronically.
a. true b. false
The statement is true. A network's physical topology refers to the arrangement of devices and cables that determine how signals travel electronically.
The physical topology of a network describes the physical arrangement of devices, cables, and other components that make up the network infrastructure. It defines how these elements are connected and how signals flow between them. The physical topology is concerned with the actual layout and structure of the network.
There are different types of physical topologies, including bus, star, ring, mesh, and hybrid topologies. In a bus topology, devices are connected to a central cable, and signals travel along the cable to reach their destination. In a star topology, devices are connected to a central hub or switch, and signals are transmitted from the source device to the hub/switch, which then distributes the signal to the destination device. A ring topology connects devices in a circular manner, where signals travel in one direction around the ring.
The physical topology determines factors such as signal propagation, fault tolerance, scalability, and network performance. It plays a crucial role in determining how efficiently and effectively signals travel electronically within a network. Therefore, the statement that a network's physical topology describes how signals travel electronically is true.
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What is the length of the diagonal from P to Q?
Answer:
The length of the diagonal from P to Q is
\( \sqrt{ {9}^{2} + {12}^{2} + {8}^{2} } = \sqrt{289} = 17\)
Anna paid € 2800 for a dress. Payment was made after the price of the dress was reduced by 30%. What was the starting price?
Answer:
$4000
Step-by-step explanation:
so $2800 was the starting price
100%-30%=70%
So 2800=70%
2800/7=400
400=10%
400*10=$4000
Daniel, Clarence, and Matthew split a $20.20 dinner bill so that Daniel pays half of what Clarence pays. If Daniel pays $6.06, what is the ratio of Clarence's pay to Matthew's pay?
Answer:
grgrtgdegtrt
Step-by-step explanation:
etetetetrdgtfrrgdergdrg
Q5.
Make t the subject of the formula
t +1
m =
t-3
can someone help please
15 POINTS!! PLEASE HELP
The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?
y = one half x + three halves
y = negative one halfx + three halves
y = one half x − three halves
y = negative one halfx − three halves
Answer:
y = 1/2x - 1
Step-by-step explanation:
The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b). After rearranging, you can find the slope (m).
2x + y = -5
y = -2x - 5
The slope is -2. Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.
-2 => 1/2
Now use the point-intercept form to find the new equation. Use the slope (1/2) and the given point (-1, -2).
y - y₁ = m(x - x₁)
y - (-2) = 1/2(x - (-2))
y + 2 = 1/2(x + 2)
y + 2 = 1/2x + 1
y = 1/2x - 1
The equation of the line perpendicular to line WX is y = 1/2x - 1.
The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.
The correct option is D.
What is the equation of a Straight Line?
An equation of the straight line is given by y = mx+c,
Here m is the slope and c is the intercept on y-axis.
The equation of the line WX is 2x+y = -5
y = -2x -5
The product of the slopes of the line and the line perpendicular to this line will be -1
Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,
m = 1/2
y = (1/2)x +c
The line passes through the points (-1, -2)
-2 = (1/2) (-1) +c
c = -2 +(1/2)
c = (-4 +1) /2
c = -3/2
Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.
The correct option is D.
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A triangle has side lengths of (9.8f-8.4)(9.8f−8.4) centimeters, (2.2f+4.9)(2.2f+4.9) centimeters, and (9.8g+9.2)(9.8g+9.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
12f + 9.8g + 5.7 centimeters
Step-by-step explanation:
Side A = (9.8f-8.4) centimeters
Side B = (2.2f+4.9) centimeters
Side C = (9.8g+9.2) centimeters.
Perimeter of a triangle = Side A + Side B + Side C
= (9.8f-8.4) + (2.2f+4.9) + (9.8g+9.2)
= 9.8f - 8.4 + 2.2f + 4.9 + 9.8g + 9.2
Collect like terms
= 9.8f + 2.2f + 9.8g - 8.4 + 4.9 + 9.2
= 12f + 9.8g + 5.7 centimeters
Therefore, the expression which represents the perimeter of the triangle 12f + 9.8g + 5.7 centimeters
The formula for the lateral surface area of a cylinder is S=2πrh , where r is the radius of the bases and h is the height.
Solve for h.
h=r2Sπ
h=2Sπr
h=S2πr
h=Sr2π
Answer:
Step-by-step explanation:
Solution given:
Surface area of a cylinder
S=2πrh
Now solving for h
Dividing both side by 2πr
\(\frac{S}{2πr}=\frac{2πrh}{2πr}\)
We get
h=\(\frac{S}{2πr}\)
Simple Arithmetic Sequence Problem
Can someone explain this?
Answer:
see explanation
Step-by-step explanation:
(a)
given the arithmetic series 5 + a + 14 + b
the difference between consecutive terms is constant , that is
a₂ - a₂ = a₃ - a₂ ( substitute values )
a - 5 = 14 - a ( add a to both sides )
2a - 5 = 14 ( add 5 to both sides )
2a = 19 ( divide both sides by 2 )
a = 9.5
then
a₄ - a₃ = a₂ - a₁
b - 14 = a - 5 = 9.5 - 5 = 4.5 ( add 14 to both sides )
b = 18.5
(b)
the sum to n terms of an arithmetic series is
\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 5 and d = a₂ - a₁ = 14 - a = 14 - 9.5 = 4.5 , then
S₁₀ = \(\frac{10}{2}\) [ (2 × 5) + (9 × 4.5) ]
= 5(10 + 40.5)
= 5 × 50.5
= 252.5
(c)
\(S_{n}\) > 500 , that is
\(\frac{n}{2}\) (50.5) > 500 ( multiply both sides by 2 )
50.5n > 1000 ( divide both sides by 50.5 )
n > 19.80198... , that is
n = 20
Caleb painted a regular wall that was 15 feet long and 12 feet tall. He divided the wall into two congruent, right triangles and painted each try and go to different color. What was the area, and square feet, of each triangle?
Answer:
Step-by-step explanation:
Each triangle has a formula of 1/2 a*b
So one triangle = 1/2 * 12 * 15 = 90
So the other one is the same area of 90 square feet.
Together they make 180 square feet.
You can check this by simply multiplying a*b = 12 * 15 = 180 square feet.
What are independent variables and dependent variables when
conducting a research design to investigate the impact of a school
nutrition program on grade performance of students at high
school?
Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.
The researcher would design and implement the program, and this variable would be under their control.
Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.
In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.
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Evaluate 2x-y if x=-3 and y= -7
Answer:
1
Step-by-step explanation:
Substitute x with -3 and y with -7
2(-3)-(-7)
Multiply
-6-(-7)
Signs are both negative, turn into positive sign
-6+7
Add
1
Answer:
1
Step-by-step explanation:
x = - 3 and y = - 7
2x-y =?
Now
2*(-3)-(-7)
-6 +7. (sign of negative when multiplied it turns into positive)
1. Answer
Use your work to draw a conclusion about what happens to the area of a rectangle when it’s dilated by a scale factor of .
When a rectangle is dilated by a scale factor of , the area of the rectangle will be multiplied by. This is because the width and the height of the rectangle are both multiplied by, therefore the area of the rectangle is multiplied by .
What is rectangle?A rectangle is a two-dimensional shape with four sides and four right angles. It is one of the most common shapes found in nature and in the world. A rectangle has two pairs of equal-length sides and each angle is 90°. All four sides of a rectangle are straight, and the opposite sides are parallel. Rectangles are a special type of parallelogram and quadrilateral, which has two pairs of parallel sides. Rectangles can be used to make various structures, including buildings, furniture, and artwork. They are also used in mathematics to calculate area and perimeter.
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Complete Question:
A company wants to decrease their energy used by 17% if their electric bill is currently $2200 a month what will their bill be if they are successful
Answer: \(\$1826\)
Step-by-step explanation:
Given
The company wants to decrease its bill by 17%
The amount of the current bill is \(\$2200\ \text{per month}\)
Percentage decrease is given by
\(\Rightarrow \dfrac{\text{original-New}}{\text{original}}\times 100\)
Suppose the new bill is x
\(\Rightarrow \dfrac{2200-x}{2200}\times 100=17\\\\\Rightarrow 1-\dfrac{x}{2200}=0.17\\\\\Rightarrow 0.83=\dfrac{x}{2200}\\\\\Rightarrow x=\$1826\)
Graph the line with slope -3 passing through the point (-2,5)
The slope of the line, m = -3
The equation passes through the point (-2, 5)
That is x₁ = -2, y₁ = 5
Substitute x₁ = -2, y₁ = 5, and m = -3
The point-slope form of the equatio of a line is:
y - y₁ = m(x - x₁)
y - 5 = -3(x - (-2))
y - 5 = -3(x + 2)
y - 5 = -3x - 6
y = -3x - 6 + 5
y = -3x - 1
The graph of the equation y = -3x - 1 is plotted below
how do i evaluate 3/7r+5/8s when r=14 and s=8
Answer:
11
Step-by-step explanation:
3/7r + 5/8s
r = 14
s = 8
3/7 x 14 + 5/8 x 8
3/7 x 14 = 6
5/8 x 8 = 5
6 + 5 = 11
ok so it's like the 3/7 and 5/8 are fractions so you just multiply each one by the number their next you which in this case is r and s so it's like you're just multiplying a fraction and a number. does that make since?
A pizza has an 18 inch diameter and is sliced into 12 pieces. What is the length of the crust on the edge of one piece of pizza?
answers:
3 pi
4.5 pi
6 pi
1.5 pi
The required length of the curst on the edge of one piece of pizza 1.5 π. Option D is correct.
What is the perimeter?Perimeter is the measure of the figure on its circumference. The perimeter of a circle is given as 2πr, where r is the radius of the circle.
here,
A pizza has an 18-inch diameter
Circumference of pizza = 18π
The pizza is sliced into 12 pieces, and the length of the crust on the edge of one piece of pizza is given as,
= 18π/12
= 1.5π
Thus, the required length of the curst on the edge of one piece of pizza is 1.5 π.
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2^-4 - 2^-3 +2^-2Leave the answer in positive form using the law of exponents
The answer in positive form using the law of exponents is 3/16.
The given expression is\(2^_(-4)\)\(- 2^_(-3)\)\(+ 2^_(-2).\)
To find the answer in positive form using the law of exponents, we need to take the reciprocal of each term and then simplify.
Let's begin:
\(2^_(-4)\ - 2^_(-3)\ + 2^_(-2)\)
= \((1/2^4) - (1/2^3) + (1/2^2)\)(using the law of exponents)
= (1/16) - (1/8) + (1/4) (taking the reciprocal of each term)
Now, we can simplify this expression by taking the common denominator. The common denominator is 16.
So, the given expression can be written as:
(1/16) - (2/16) + (4/16) = 3/16
Hence, the answer in positive form using the law of exponents is 3/16.
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Simplify the following.
b)
Simplify
45e6 f8
5ef2
Answer:
1800e^7f^3
Step-by-step explanation:
I'm assuming you mean (45e^6)(8f)(5ef^2)
we can simplify this into 45e^68f5ef^2 because of the commutative and associative properties. Then we can simplify into (45 * 8 * 5 ) into 1800. Then by combining like terms we can change e^6 f e f&2 into e^7 f^3 which added together with 1800 gives you the answer.
hope this helped!
-7/8 - (-h) = -7/12
solve for h
pls show work
Answer:
The answer is 7/24.
Step-by-step explanation:
I attached a picture, but I'll try to walk through it here.
1) A negative and a negative makes a positive, so h becomes positive.
2) I added 7/8 to both sides, in order to "isolate the variable", which simply means to get h by itself, on one side of the equation (you'll likely hear it said both ways).
3) I multiplied 7/8 by 3/3, and multiplied -7/12 by 2/2. This is known as a common denominator, which in this case is 24. You can only add and subtract fractions that have a common denominator.
4) Multiply both of the fractions to get 21/24 + (-14/24). "Adding a negative" is the same thing as subtracting.
5) 21 - 14 = 7, and since our denominators are the same, the answer is 7/24.
You can confirm the answer by substituting, or "plugging" 7/24 into your original equation, in place of h.
Work out 6 x (11- 3)
Answer:
first you do 11-3 to get 8. then you multiply 8 and 6 to get 48
if an independent variable's null hypothesis is rejected, it should remain in the model. group of answer choices true false
The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.
Define independent variable.A variable that indicates a quantity being altered in an experiment is known as an independent variable. In equations, x is frequently used to denote the independent variable. A variable that indicates a quantity being altered in an experiment is known as an independent variable. Values that fluctuate in relation to one another are independent and dependent variables in mathematics.
Given.
The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.
In other words, the number of values that can change in a statistical calculation is referred to as the degree of freedom.
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find two unit vectors that make an angle of 60° with v = 8, 6
The two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).
Given that, Angle = 60°, v = 8, 6
Consider unit vector a = (x, y)
x² + y² = 1 …. (1)
Now apply the dot product of unit vector with v
a.v = |a||v|cos Ø
a.v = √ (x² + y²) √ (8² + 6²) cos 60º
8x + 6y = 1 × 10 × ½
So we get,
8x + 6y = 5 …. (2)
y = (5 - 8x) / 6
Substituting the value of y in equation (1)
x² + y² = 1
x² + [(5 - 8x)/6]² = 1
x² + 25/36 + 16x²/9 - 20x/9 = 1
25x²/9 - 20x/9 = 11/36
So we get,
4 × (25x² - 20x) = 11
100x² - 80x = 11
100x² - 80x - 11 = 0
Now solve the quadratic equation,
x = { 2/5 ± √5/10}
Substituting the value of x in equation (2)
y = 3/10 ± 2√5/15
Therefore, the two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).
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Please help I really don’t understand this
Answer:
for number 1 set them equal to each other so like 6x-44=88 and then solve for x and do the same thing for the second one