Answers
a) -1/1 = -1
b) (-4-1) / (-4 + 1) = -5 / -3 = 5/3 = 1.6666..
c) (2 - 1) / (2 + 1) = 1/3 = 0.3333...
d) (5-1) / (5+1) = 4/6 = 0.6666...
Related Questions
50 POINTSSS!!!!!! PLS HURRRYYYYY!!!!!!! A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?
1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90
Answers
Answer:
3
Step-by-step explanation:
To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.
Answers
The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)
Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)
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Simplify the following expression.(2x– 3) (5x^4+– 7x^3 + 6x2 - 9)5.74 - + –10.75 + 29.24 – 33.13 + 1812 + 18 – 2710.25 – 29.24 + 33r31872 – 18 + 2710,5 – 14 – 9.23 - 1812 – 18 - 2710.25 + 14 + 33r3 + 1812 + 181 + 27Submit
Answers
We want to simplify the following expression
\((2x-3)(5x^4-7x^3+6x^2-9)\)To simplify this expression, we just need to use the distributive property of multiplication.
\((a+b)(c+d)=ac+ad+bc+bd\)Using this property in our expression, we have
\(\begin{gathered} (2x-3)(5x^4-7x^3+6x^2-9) \\ =2x\cdot5x^4-2x\cdot7x^3+2x\cdot6x^2+2x\cdot(-9)-3\cdot5x^4-3\cdot(-7x^3)-3\cdot6x^2-3\cdot(-9) \\ =10x^5-14x^4+12x^3-18x-15x^4+21x^3-18x^2+27 \\ =10x^5-29x^4+33x^3-18x^2-18x+27 \end{gathered}\)Complete the two-way frequency table below, which shows the
distribution of blood types for students in their first year at a local
college.
O AB AB Total
Male (M) 210 17474 42
Female (F)|31526111163
Total
What is P(ABM), and are the events "the student is male" and "the
student has blood type AB" independent events? (7 points)
а
21
; they are independent because P(M N AB) = P(M)
250
· P(AB)
Ob
T!
; they are dependent because P(M NAB) P(M) · P(AB)
5
Ос
21
; they are independent because P(M N AB) = P(M)
625
P(AB)
Od
1
--; they are dependent because P(M N AB) = P(M) · P(AB)
4
Answers
Answer:
a.
Step-by-step explanation:
Probability that is a AB type blood given is a Male
P(AB/M) = 42/500 = 21/250
Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students
P(M∩AB) = P(M)
(42/105) = (500/1,250)
.4 = .4 ✅
The events "the student is male" and "the student has blood type AB" are independent events.
Find the equation of the parabola with the following properties. Express your answer in standard form.
Symmetric with respect to the line y = 2
Directrix is the line x = 11
P = -3
Answers
The equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1
What is the equation of the parabola?To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.
Alternatively, we can use PF = PM to find the equation of the parabola.
vertex is half way between the focus and directrix
It's a downward opening parabola, general form
y= a(x-h)^2 + k
where (h,k) = vertex= (-3,-1)
plug in another point on the parabola to solve for a which gives
am answer with either x coefficient = -1'/4 or =4 Check the math.
one or the other is right another point is the y intercept = 9a-1
Another point is directly to the right of the focus (-1, -2) It's 2 down from the directrix and 2 to the right of the focus, equidistant. plug that point into y= a(x+3)^2 -1 and solve for "a"
-2 = a((-1+3)^2 -1
-2 = 4a -1
4a = -
a = -1/4
The parabola is y = (-1/4)(x+3)^2 -1
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The permitter of a rectangle is 36 cm. The length is 4 cm greater than the width. Find the width and length.
Answers
Answer:
36 and 4 cm is divided to alll width and length
36=2(4+w)+2w
36-8=28
28/4=7
7+4= 11
Length=11cm
Width=7cm
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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E is the midpoint of DF, DE = 3x + 4 and EF = 5x - 2. Find DE, EF, and DF.
Answers
Since E is the midpoint of DF, DE and EF are two halves of DF. First, let's write down what we know.
DE = 3x + 4
EF = 5x - 2
DE = EF
DE + EF = DF
Now, let's plug our values for DE and EF into our first expression.
3x + 4 = 5x -2
Add 2 to both sides and subtract 3x from both sides.
6 = 2x
Divide both sides by 2
3 = x
Let's plug 3 in for x into DE.
DE = 3x + 4 = 3(3) + 4 = 9 + 4 = 13
DE = EF = 13
We can plug 13 in for DE and EF to get DF
DF = DE + EF = 13 + 13 = 26
In the following monomials, whose degree is 5:
A: 5a B: 3²b³ C: ab⁴D: 4 a(exponent 5)b
Answers
The correct answer is option C which is the degree of ab⁴ will be 5.
What is the degree of a polynomial?The maximum power of the variable in the polynomial is called the degree of the polynomial.
Here in the question, we have to find the polynomial with the degree of 5 so we can see that the degree of the polynomial ab⁴. Here a have one degree and the power of b is 4.
Therefore the degree of the variable ab⁴ is 5 the correct answer is option C which is the degree of ab⁴ will be 5.
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The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
Find the y-intercept and x-intercept of the line. 5x-8y=14
Answers
Answer:
x-intercept = 14/5
y-intercept = 7/4
Step-by-step explanation:
To find the value of an intercept (x/y) of an equation like this, simply set the other variable to 0 and divide both sides by the coefficient of the variable you're trying to find.
5(0)-8y=14
-8y=14
Y=-2
So y intercept= -2
When y=0
5x-8(0)=14
5x=14
X=5/14 or 0.36
So x-intercept = 5/14
As part of their employee benefits , all workers at Middletown Electronics receive a pension that is calculated by multiplying the number of years worked times 1.56% of the average of their three highest years’ salary. Maureen has worked for Middletown for 30 years and is retiring. Her highest salaries are $107,000, $107,800, and $108,198. Calculate Maureen’s pension.
Answers
Maureen's pension would be $50,035.20.
What is Percentage?
To compute a percentage, divide the value by the entire amount and multiply the result by 100. A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.
First, we need to calculate the average of Maureen's three highest salaries:
Average = (107,000 + 107,800 + 108,198) / 3
Average = 322,998 / 3
Average = 107,666
Next, we need to calculate 1.56% of this average:
Percentage = 1.56% * 107,666
Percentage = 1,667.84
Finally, we multiply this percentage by the number of years worked to find the pension:
Pension = 30 * 1,667.84
Pension = 50,035.20
So, Maureen's pension would be $50,035.20.
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what percent is 346 of 385?
Answers
346/385 = .8987
Evaluate and simplify the expression
when X = 3 and y = 5.
2y + 3(x - y) + x2 = [?]
![Evaluate and simplify the expressionwhen X = 3 and y = 5.2y + 3(x - y) + x2 = [?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/41ItkguGnvfc8FlcoXbGVcj8DC7KS4Pj.png)
Answers
Answer:
13
Step-by-step explanation:
2(5) + 3(3 - 5) + (3)^2
10 + (9 - 15) + 9
19 - 6 = 13
State whether you believe the two variables are correlated. If you believe they are correlated, state whether the correlation is positive or negative. The repair bills of a car and its fuel consumption.
Answers
Answer:
I believe they are correlated: positive correlation.
Step-by-step explanation:
The higher the repair bills of a car, it means maybe having bad fuel injectors, will cause bad mileage allowing the car to consume more fuel. It is like say the inexorable decline of a car in areas including minor wears and incorrect adjustment etc impairs fuel economy. Thus, the higher the repair bills, the higher the fuel consumption. This is an example of a positive correlation. This means the value of y increases as there is an increase in the value of x.
Finding missing angles
Answers
Answer:
60
Step-by-step explanation:
The length of a straight line is 180
To find x subtract 180 by 120
180-120=60
Find an equation in point-slope form for the line having the slope m=-3 and containing the point (4,2).
Answers
The equation of a line in point-slope form is given by
\(y-y_1=m(x-x_1)\)Where
\(\begin{gathered} m=-3 \\ y_1=2 \\ x_1=4 \end{gathered}\)Thus, if we substitute the above values into the equation:
\(y-2=-3(x-4)\)What is the probability of selecting two aces from a deck of cards? (with replacement)
(there are 4 aces in a deck of 52 cards)
Answers
1/52 x 1/51 x 1/50 x 1/49 x 4
Simplify 4x + 2 - ((x^2 + x - 12) / (x - 3))
Answers
pls answer asap no trolls!
Answers
raiz quadrada de 2 ?
Answers
PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
Answers
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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If 120 L of an acid solution is 75% acid, how much pure acid is there
in the mixture?
Answers
Answer:
25% or 30L
Step-by-step explanation:
100% is 120L, we know 75% is acid, we need the other 25% to make the 100%. 25% of 120 is 30, so 30 liters is pure acid
Evaluate using the order of operation, please help me
Answers
Answer:
\(\frac{7}{9}\)Step-by-step explanation:
\(1-\frac{4}{2\cdot \:7+4}\\\\\frac{4}{2\cdot \:7+4} = \frac{2}{9} \\\\=1-\frac{2}{9}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot\:9}{9}\\\\=\frac{1\cdot \:9}{9}-\frac{2}{9}\\\\Since\:the\:denominators\:are\:equal,\\\:combine\:the\:fractions}:\\\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{1\cdot \:9-2}{9}\\\\1\cdot \:9-2 =7\\\\=\frac{7}{9}\)
-6(7 + x) plzzzz help
Answers
Answer:
-6x-42
Step-by-step explanation:
Open parenthesis.
-42-6x is what you get once opened.
Answer:
6x−42
Step-by-step explanation:
a linear function contains the following points
what are the slope and y-intercept of this function
A. the slope is -1/4. the y-intercept is (0,5)
B. the slope is 1/4. the y-intercept is (0,5)
C the slope is 4. the y-intercept is (5,0)
D the slope is -4. the y-intercept is (0,5)
Answers
Answer: choice (B)
Step-by-step explanation:
(-4,4)
(0,5)
slope= \(\frac{5-4}{0-(-4)}= \frac{1}{4}\)
Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?
Answers
The matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.
The matrix representing the profit from the sales of book A for each store is as follows:
Store Book A
X $4
Y $4
Z $4
Therefore, the matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).
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A six-sided number cube numbered 1 through 6 is rolled 270 times. The number 3
comes up 44 times. What is the theoretical probability of rolling a 3? What is the
experimental probability of rolling a 3?
Answers
Answer:
The theoretical probability of rolling a 3 is 1/6 and the experimental probability of rolling a 3 is 135/22
Step-by-step explanation:
How much work is done lifting a 10 pound object from the ground to the top of a 40 foot building if the cable used weighs 2.5 pounds per foot?
Answers
Answer:
2,400 foot-pounds
Step-by-step explanation:
Say at any instant x is length of Rope
Work done in lifting rope by dx amount will be:
dw = -(2.5x + 10)dx
w = -(40)∫(2.5x+10)dx
w = (2.5(40)^2) / 2 + 10(40)
w = 2000 + 400
w = 2,400 foot-pounds
Tom goes fishing with Jason. Tom catches five trout and four catfish. Jason catches twice as many trout as Tom did. How many trout did Jason catch?
Answers
We know that Tom catches five trout and four catfish and we also know that Jason catches twice as many trout as Tom did.
Knowing that Jason catches twice as many trout as Tom did we must multiply the number of trouts that Tom caught (5 trouts) by 2
\(5\cdot2=10\)So, Jason caught 10 trouts.