Answer:
4/5
Step-by-step explanation:
The slope is 4/5
Answer:
\(\frac{4}{5}\)
Step-by-step explanation:
slope = \(\frac{rise}{run}\)
rise = y axis
run = x axis
to find the slope, go to (0, -1) and move up until you reach the y-axis where (5,3) is (it would be at number 3 on the y axis), then go right until you reach where (5,3) is (it would be number 5 on the x axis)
slope = \(\frac{4}{5}\)
Question
Find the range of the function represented by the list of ordered pairs below.
((-9, 4). (-0,3). (-8,0). (-2, -4))
Answer: {4,3,0,-4}
Step-by-step explanation:
The range is the set of all the values of y
Range {4,3,0,-4}
And 7/8 hours Greg reads 2/3 chapters what’s the unit rate in chapters per hour?
The unit rate in chapters per hour is 21/16 hours
How to calculate the unit rate?Greg read 7/8 hours in 2/3 chapter
The unit rate can be calculated as follows
7/8= 2/3
1= x
cross multiply both sides
2/3x= 7/8
x= 7/8 ÷ 2/3
x= 7/8 × 3/2
x= 21/16
Hence 21/16 chapters is read in one hour
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-8.11 ____ -8 8/100
is -8.11 greater or less then -8 8/100
Answer:
lesser than
Step-by-step explanation:
-8 8/100 in decimal is -8.08
lets use the number line sytem
... -8.3, -8.2, -8.1, -8.0, -7.9 ... forward to 0
So -8.11 is lesser than -8.08
PLSSS HELP IF TURLY KNOW THISSS
To solve the expression 9 - 12 + 6/-3 + 3(-3) first do the operation of division, i.e. option B: 6/-3.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The given expression is - 9 - 12 + 6/-3 + 3(-3)
Follow the BODMAS rule to solve the expression.
BODMAS = Bracket Of Division Multiplication Addition and Subtraction
The first step is to solve the bracket -
= 9 - 12 + 6/-3 + 3(-3)
= 9 - 12 + 6/-3 - 9
The next step is to solve the division -
= 9 - 12 + 6/-3 - 9
= 9 - 12 -2 - 9
The next step is to solve the addition and subtraction -
= 9 - 12 - 2 - 9
= 9 - 23
= -14
Therefore, the value of the expression is obtained as -14.
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how many 3/8´s are in 6
PLS HELP IF YOU CAN!THIS IS DUE IN 30 MINUTES :(
A homeowner wants to fence in a rectangular yard space along one side of her house. The total area she can fence in is 800 square feet. Create a model to determine a possible length and width of the yard. *REMEMBER*: AREA = LENGTH times WIDTH.
Answer:
Length: 20 or 40 feet
Width: 40 or 20 feet
Step-by-step explanation:
Area = 800 = length*width = x*(60-x)= 60x - x^2
- x^2 + 60x - 800 = 0
x = 20
Or x = 40
So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)
The diagram shows a 5 cm x 5 cm x 5 cm cube.
А
Calculate the length of the diagonal AB.
Give your answer correct to 1 decimal place.
5 cm
5 cm
B
5 cm
Step-by-step explanation:
The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3. Where “5 ” is the cube side.
So now
Diagonal AB
= 5 * √3
= 8.7 CM
Hope it will help :)
The length of the diagonal AB to 1 decimal place when the sides of cube 5 cm\(\times\) 5 cm \(\times\) 5 cm is 8.7 cm.
Given that:
The length of sides of cube = 5 cm\(\times\) 5 cm \(\times\) 5 cm
Length of each body diagonal of a cube = √3a, where a is the side of each cube
The length of the cube can be calculated as:
L =\(\sqrt3a\)
Substitute the value of a
L = 5 \(\times\)\(\sqrt3\)
The value of \(\sqrt3\) is 1.732.
L = 5 \(\times\) 1.732
L = 8.66 cm
Thus, the length of the diagonal AB is 8.66 cm.
The length of the diagonal AB to 1 decimal place is 8.7 cm
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help thank you very much
Answer:
B: 76
Step-by-step explanation:
I have to put an explanation.I don't have an explanation.
Select yes or no to state if the expression is equivalent to -2 + 5
A. 5 - 2 yes or no
B. -2 - (-5) yes or no
C. -2 - 5 yes or no
D. 5 + (-2) yes or no
Answer:
a) yes
b) yes
c) no
d) yes
Step-by-step explanation:
-2 + 5 = 3
5-2 = 3
-2 - (-5) = -2 + 5 = 3
-2 - 5 = -7
5 + (-2) = 5-2 = 3
determine whether the series is absolutely convergent, conditionally convergent, or divergent. [infinity] ∑ sin(n) + 3^n
n = 1 a. absolutely convergent b. conditionally convergent c. divergent
The correct answer to the above question is Option C. divergent i.e., The series [infinity] ∑ sin(n) + 3^n is divergent.
To determine the convergence of the series, we need to check both the convergence of sin(n) and 3^n series.
Firstly, the sin(n) series is a divergent oscillating series, which means it does not converge. Secondly, the 3^n series is a divergent geometric series, which means it only converges when |r| < 1, where r is the common ratio. However, in this case, r = 3 which is greater than 1, so the series diverges.Since both series diverge, their sum will also diverge, and the given series is therefore divergent.
In summary, the given series [infinity] ∑ sin(n) + 3^n is divergent as both the sin(n) and 3^n series diverge.
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assume that a randomly selected subject is given a bone
The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.
Assuming that a randomly selected subject is given a bone, it seems that we need to consider the context and determine the implications or consequences of this action. Without further information, it is difficult to provide a specific explanation or analysis. However, we can discuss some general possibilities and considerations related to giving a bone to a subject.
1. Medical Treatment: Giving a bone could be related to medical treatment or procedures. For example, in orthopedic medicine, bones may be used for grafting or reconstructive surgeries to repair damaged or fractured bones.
2. Nutritional Benefits: Bones, such as beef or chicken bones, can be used to make broths or stocks that are rich in nutrients like collagen, calcium, and other minerals. These bone-based products are often consumed for their potential health benefits.
3. Animal Care: Giving a bone to an animal, particularly dogs, is a common practice. Bones can serve as a form of entertainment or enrichment for pets, satisfying their chewing instincts and providing dental benefits.
4. Symbolic Meaning: In certain cultures or traditions, bones can hold symbolic meanings. They may be used in rituals, ceremonies, or artistic expressions to represent various concepts, such as strength, mortality, or spirituality.It's important to note that the above interpretations are speculative and based on general assumptions. The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.
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Joni sold 376 tickets for the school play. Student tickets cost $4 and adult tickets cost $7. Joni's sales totaled $2080.
Answer:
Number of students tickets sold= 184
Number of adults tickets sold= 192
Step-by-step explanation:
I assume we need to calculate the number of student and adult tickets sold.
First, we establish the system of equations:
x= number of students tickets sold
y= number of adults tickets sold
4*x + 7*y= 2,080
x + y= 376
Now, we isolate x in one formula and substitute it in the other:
x= 376 - y
4*(376 - y) + 7y = 2,080
1,504 - 4y + 7y = 2,080
3y = 576
y= 192
x= 376 - 192
x= 184
Number of students tickets sold= 184
Number of adults tickets sold= 192
What is the length of DF?
Answer:
Step-by-step explanation:
Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.
Jonah took out a four year loan for $22,000 to help pay for college. He has to pay 5% simple interest on the loan. How much will he have to pay back at the end of the four years?
Answer:
26,400
Step-by-step explanation:
1) Find 5% of 22,000 by multiplying 22,000 by .05. You should get 1100.
2) Multiply that by 4. (4400)
3) Now add that to the original.
In recent years, the United States has experienced a sharp increase in obesity rates (in particular amongst teenagers), which is considered to increase the probability of chronic diseases like diabetes. Even if the dependency ratio is constant, what would be the effect of such a trend on the size of the government debt
The increase in obesity rates in the United States, particularly among teenagers, can have a significant impact on the size of the government debt, even if the dependency ratio remains constant.
Obesity is linked to an increased risk of chronic diseases such as type 2 diabetes, heart disease, and certain cancers. These chronic diseases require costly medical treatments and care, which can put a strain on the government's finances. In turn, the government may need to spend more on healthcare programs, such as Medicaid and Medicare, to cover the costs of treating these chronic diseases.
Additionally, obesity can lead to a reduction in economic productivity and an increase in disability rates, which can result in lower tax revenues and higher disability payments. This reduction in economic productivity can also have a negative impact on economic growth, further exacerbating the debt problem.
Therefore, the increase in obesity rates in the United States can lead to increased government spending on healthcare and disability programs, lower tax revenues, and slower economic growth. All of these factors can contribute to an increase in the size of the government debt.
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-8 + 70/-7 = ?
Evaluate?
Answer:
-18
Step-by-step explanation:
-8 + 70/-7
-8 - 10
-18
Henry is thinking of a number that is less than 17. What numbers make the statement true q<17 true? Solve the problem any way you choose
The # 1, 3, 7, 10, 12
Answer:
The numbers 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 would make the statement true.
Step-by-step explanation:
This is because they are all less than 17.
Your team wins 66 of 82 games. Is this proportional to 99 wins in 125 games?
Answer:
No
Step-by-step explanation:
If you think about this, we can figure out that 66 is 2/3 of 99.
To find out what 2/3 of 125 is, we can divide 125 by 3.
125 ÷ 3 = 41.6666667
Now multiply that by 2:
41.6666667 × 2 =83.3333334
So, no.
This is not proportional.
Sketch a graph showing the solution to each system.If you can't do both then do Question C.
(C)
Given data:
The given inequalities.
The graph of the given inequalities is shown below.
11) What is the value of x? *
X
Your answer
X
5 points
Answer:
Step-by-step explanation:
The value of X is 45 because all the angles of a triangle add up to 180 degrees. The triangle is a right triangle as shown in the picture, the square in the corner of the triangle indicates this, any right angle is 90 degrees and when you minus 90 from 180 you get 90. Now, there are two more angles in the triangle so the value of X is 45, (90/2=45).
Please HELP!! 20 Points! Brainliest Answer!!
Answer:
4) 2.5Step-by-step explanation:
The ratio of line segments as per picture
5/x = 4.6/2.3x = 2.5Correct option is
4) 2.5find the z-score of lena's flight experience relative to the flight experiences of all the members of the pilots association. round your answer to two decimal places.
The z-score of Lena's flight experience, relative to the pilots association, rounded to two decimal places, is to be determined.
The z-score of Lena's flight experience can be calculated by comparing her flight experience relative to the flight experiences of all the members of the pilots association.
To compute the z-score, we need two pieces of information: Lena's flight experience and the mean and standard deviation of flight experiences within the pilots association.
Let's assume Lena's flight experience is denoted by X and the mean flight experience of the pilots association is denoted by μ (mu), with a standard deviation of σ (sigma).
The z-score formula is given by:
z = (X - μ) / σ
By substituting the appropriate values into the formula, we can calculate Lena's z-score.
Once we have the z-score, we can interpret it as the number of standard deviations Lena's flight experience is from the mean flight experience of the pilots association. A positive z-score indicates that Lena's flight experience is above the mean, while a negative z-score indicates it is below the mean.
To round our answer to two decimal places, we will truncate the z-score calculation after the second decimal point.
Please provide the values of Lena's flight experience, the mean flight experience of the pilots association, and the standard deviation so that I can calculate the z-score for you.
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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pie. (No approximations)
Answer: x x x x x x x
Step-by-step explanation:
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1. connie multiplies a number by 2 and gets 60 as her answer. however, she should have divided the number by 2 to get the correct answer. what is the correct answer?
The correct answer is 15.
Given:
connie multiplies a number by 2 and gets 60 as her answer
let x is the number
then, 2x=60
or x=30.
since , she should have divided the number by 2 to get the correct answer
According to the question,
Dividing the number by 2
Therefore , correct answer = 30/2 = 15
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a rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric fence. with m of wire at your​ disposal, what is the largest area you can​ enclose, and what are its​ dimensions?
To find the largest area you can enclose with a single-strand electric fence and m units of wire at your disposal, you need to optimize the dimensions of the rectangular plot.
Let's denote the length of the rectangular plot as L and the width as W. The perimeter of the plot can be calculated as P = L + 2W.
Since one side of the plot is already bounded by the river, we have L + W = m. Rearranging this equation, we get L = m - W.
To find the largest area, we need to maximize the function A = L * W. Substituting the value of L, we have A = (m - W) * W.
Expanding the equation, we have A = mW - W^2.
To find the maximum value of A, we take the derivative of A with respect to W and set it equal to zero: dA/dW = 0.
Differentiating, we get m - 2W = 0. Solving for W, we have W = m/2.
Substituting this value back into the equation for L, we have L = m/2.
Therefore, the dimensions of the largest area are L = m/2 and W = m/2.
To find the area, we substitute these values into the equation for A: A = (m/2) * (m/2) = m^2/4.
In conclusion, the largest area that can be enclosed is m^2/4, with dimensions L = m/2 and W = m/2.
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if my avg is a 96 and my final exam is a 75 which is 25% of my whole grade what will my final grade be
Step-by-step explanation:
That means the 96 is 75% of your grade
96 (.75) + 75 (.25) = 90.75 final grade
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7:
If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.
Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.
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a manufacture produces wood tables on an assembly line, currently producing 1600 tables per shift. If the production is increased to 2000 tables per shift, labor productivity will increase by?
A) 10%
B) 20%
C) 25%
D) 40%
If the production of wood tables on an assembly line increases from 1600 tables per shift to 2000 tables per shift, the labor productivity will increase by 25%.We need to determine the percentage change.
To calculate the increase in labor productivity, we need to compare the difference in production levels and determine the percentage change.The initial production level is 1600 tables per shift, and the increased production level is 2000 tables per shift. The difference in production is 2000 - 1600 = 400 tables.
To calculate the percentage change, we divide the difference by the initial production and multiply by 100:
Percentage Change = (Difference / Initial Production) * 100 = (400 / 1600) * 100 = 25%.
Therefore, the correct answer is option C) 25%, indicating that labor productivity will increase by 25% when the production is increased to 2000 tables per shift.
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The sequence {an} satisfies the recurrence relation an = 8an-1 + 10n-1 and the initial condition a1 = 9. Find an explicit formula for an
an = 8⁽ⁿ⁻¹⁾⁹ + 10((n-1)(n-2)/2) is the explicit formula for the sequence {an} in terms of n.
To find an explicit formula for the sequence {an} that satisfies the given recurrence relation, we can first examine the pattern and derive a general formula.
Let's expand the recurrence relation for a few terms to observe the pattern:
a2 = 8a1 + 10(1)
a3 = 8a2 + 10(2) = 8(8a1 + 10(1)) + 10(2)
a4 = 8a3 + 10(3) = 8(8(8a1 + 10(1)) + 10(2)) + 10(3)
Expanding further, we can see that each term in the expansion contains a factor of 8 raised to a power:
a4 = 8³a1 + 8²(10) + 8¹(10) + 10(3)
Generalizing this pattern, we can write the formula for the nth term as follows:
an = \(8^(n-1)a1 + 8^(n-2)(10) + 8^(n-3)(10) + ... + 8^2(10) + 8^1(10) + 10(n-1)\)
Substituting the initial condition a1 = 9 into the formula, we have:
an =\(8^(n-1)(9) + 8^(n-2)(10) + 8^(n-3)(10) + ... + 8^2(10) + 8^1(10) + 10(n-1)\)Therefore, the explicit formula for the sequence {an} that satisfies the given recurrence relation is in term :
an = \(8^(n-1)(9) + 10(1 + 2 + 3 + ... + (n-1))\)
The sum of integers from 1 to (n-1) can be expressed as (n-1)(n-2)/2, so we can simplify the formula further:
Therefore, an = 8⁽ⁿ⁻¹⁾⁹ + 10((n-1)(n-2)/2) is the explicit formula for the sequence {an} in terms of n.
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MP Reason Abstractly If y varies directly with x-
direct variation. Then find each value.
9. If y = 14 when x = 8, find y when x = 12.