The equation of the line that is parallel to the line y = -x + 10 is y = -x - 13.
Given table:
x y
0 10
4 6
8 2
12 -2
slope m = 6 - 10 / 4 - 0
= -4/4
m = -1
substitute in y=mx+c
y = -x+c passes through (0,10)
10 = -0 + c
c = 10.
y = -x + 10.
here m = -1 and passes through (-3,-10)
y = mx +c
-10 = -1(-3)+c
-10 = 3 + c
c = -13
y = -x + (-13)
y = -x - 13.
Therefore the equation of the line that is parallel to the line y = -x + 10 is y = -x - 13.
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Can anyone state the vertex of the graph?
the graph above is the graph of a Cubic function, namely a polynomial with a degree of "3", and the behaviour is that it comes from the bottom from -infinity goes up up get to a smooth flat or horizontal plateau then it keeps on going right back up, its slope is never negative.
now, Cubic functions do not have a "vertex" as in a U-turn sense or a peak-sense.
What is the equation of the line containing the points (5, 2), (10, 4), and (15, 6)?
A. y = 2/5x
B. y = x - 3
C. y = 1/5x + 1
Answer: A
Step-by-step explanation:
a solid box is 1515 cm by 1010 cm by 88 cm. a new solid is formed by removing a cube 33 cm on a side from each corner of this box. what percent of the original volume is removed?
9% of the volume of the original volume is removed.
Given that the dimensions of solid box is 15 cm by 10 cm by 8 cm.
So the volume of solid box = 15*10*8 cubic cm = 1200 cubic centimeter
The volume of the cube with side 3 cm = 3*3*3 = 27 cubic centimeter
For each corner one cube so the number of cube is 4
So total volume removed = 4*27 = 108 cubic centimeters
The percent of volume is removed = (108/1200)*100% = 9%
Hence the percentage of volume removed is 9%.
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Given b (x) = StartAbsoluteValue x + 4 EndAbsoluteValue, what is b (negative 10)?
Negative 10
Negative 6
6
The value of the expression b(x) = x + 4 is -6.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, b(x) = x + 4.
When x = -10, the value of b will be:
b(x) = x + 4.
b(-10) = - 10 + 4
b= -6
The value is -6.
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Convert the following
Answer:
Step-by-step explanation:
1.
4,000 mm to km = 0.004
4,000 mm to m = 4
4,000 mm to cm = 400
2.
12,000 km to m = 12000000
12,000 km to cm = 1.2e+9
12,000 km to mm = 1.2e+10
3.
5,800 m to km = 5.8
5,800 m to cm = 580000
5,800 m to mm = 5800000
4.
2 mm to km = 2e-6
2 mm to m = 0.002
2 mm to cm = 0.2
5.
40,108 to m = 40108000
40,108 to cm = 4010800000
40,108 to mm = 40108000000
prove that cos A - sin A +1 / cos A + sin A-1 = cosec A+ cot A
(Pls help, urgently needed)
We have to prove (cosA−sinA+1)/(cosA-sinA-) = cotA+cosecA using Trigonometric Functions
What is Trigonometric Functions?
Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.
L.H.S=(cosA−sinA+1)/(cosA-sinA-)
dividing by sinA
=cotA+1−cosecA/cotA−1+cosecA
=(cotA−1+cosecA)(cotA+1+cosecA)/(cotA+1)²-cosec²A
=(cotA+cosec)²-1/2cotA
=cotA+cosecA(R.H.S)
Hence the above trigonometric function is proved.
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Solve for A in terms of I and P.
I=A–P
Answer:
I+P=A
Step-by-step explanation:
isolate a on 1 side
I=A—P
+P. +P
I+P=A
Hopes this helps please mark brainliest
Answer:
A=P+I
Step-by-step explanation:
make A the subject of formula
giving A= P+I
homogeneity of variance is an assumption for the one-way between-subjects anova. what does this assumption mean? group of answer choices that the population being sampled from is normally distributed that participants are randomly selected to participate in a sample that the variance is equal in each population from which samples are elected that one observation has no effect on the likelihood of another observation
The homogeneity of variance is an assumption for the one-way between-subjects anova means each population from which the samples are drawn has the same level of variation.
What is homogeneity of variance?Both t tests and F tests (also known as analyses of variance, or ANOVAs) are based on the premise that the population variances (i.e., the distribution, or "spread," of scores around the mean) of two or more samples are identical. The independent samples t-test and ANOVA employ the t and F statistics, which, provided that group sizes are equal, are often resistant to breaches of the assumption. A ratio of less than 1.5 between the largest and smallest group can be used to identify equal group sizes.
The independent samples t-test and ANOVA make the assumption of homogeneity of variance, which states that all comparison groups have the same variance. The homogeneity of variance is an assumption for the one-way between-subjects anova means each population from which the samples are drawn has the same level of variation.
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if two numerical variables x and y have a correlation coefficient of 0.90, what percentage of the variation in one variable can be accounted for by the other variable?
The percentage of variation in variable can be accounted for by the other variable is 81%.
What is variation in statistic?
The statistical distance between the values of the observations (data points) is what makes up a measure of variance. There are various ways to measure variation.
What is correlation coefficient?
A statistical indicator of the strength of a linear link between two variables is the correlation coefficient.
The formula of percentage of variation is:
(correlation coefficient × correlation coefficient × 100)%.
Given that the correlation coefficient is 0.90.
Thus the percentage of variation is (0.90 × 0.90 × 100)% = 81%
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Which system of equations is represented by the graph ?
A. y=x^2+2x+1
2x+y=2
B. y=x^2-2x+1
2x+y=2
C. y=x^2+2x+1
2x+y=2
D. y=x^2-2x+1
2x-y=2
y = x²-2x+1, 2x-y=2 is the system of equations represented by the graph
How to determine the system of equations represented by the graph?
By examining the graph, you will notice that the straight and the curve meet at (3,4) and (1,0) as indicated. The x values of these points of intersection give the solution of the system. Thus:
We have x = 3 and x = 1
These values can be used to form the equation of the system. Thus:
(x-3)(x-1) = 0 (Clear the parenthesis)
x² -x-3x +3 = 0
x² -4x +3 = 0
Next, we are going to check for the option that gives the x² -4x +3 = 0
Given: y = x²-2x+1, 2x-y=2
Rewrite 2x-y=2 to be in form y: y =2x-2
We now have y = x²-2x+1 and y =2x-2
Equate the two y: x²-2x+1 =2x-2
x²-2x+1 -2x+2 = 0
x²- 4x+ 3 = 0
Since y = x²-2x+1, 2x-y=2 gives the same equation, therefore, the system of equations represented by the graph is y = x²-2x+1, 2x-y=2. So option D is the answer
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help meeeeeeeeeeeeeee pleaseee
The table of solutions for this quadratic equation (y = -2x²) include the following:
x y_
-2 -8
-1 -2
0 -0
1 -2
2 -8
A graph of the solution of the given quadratic equation has been plotted in the image attached below.
How to determine the solutions?In Mathematics, the graph of any quadratic equation or function always forms a parabola, which simply means a u-shaped curve. In order to determine the correct solutions to the given quadratic equation, we would have to substitute the x-values contained in the table into the quadratic equation.
At point x = -2, the y-value of this quadratic equation is given by:
y = -2x²
y = -2(-2)²
y = -2 × 4
y = -8
At point x = -1, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(-1)²
y = -2 × 1
y = -2
At point x = 0, the y-value of this quadratic equation is given by:
y = -2x²
y = -2(0)²
y = -2 × 0
y = 0
At point x = 1, the y-value of this quadratic equation is given by:
y = -2x²
y = -2(1)²
y = -2 × 1
y = -2
At point x = 2, the y-value of this quadratic equation is given by:
y = -2x²
y = -2(2)²
y = -2 × 4
y = -8
In conclusion, we can logically deduce that the graph of this quadratic equation forms a downward parabola.
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find the median of the following: 14.8, 16.2, 4.8, 12.1, and 6.9. if needed, round your answer to the nearest tenth.
The mean will be the middle number or 12.1.
What is mean?In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.According to our question-
The median is the middle number in the data set when the data set is written from least to greatest.
least to greatest 4.8, 6.9, 12.1, 14.8, 16.2
Hence, The mean will be the middle number or 12.1.
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Donald graphs the distance he walks over time the graph passed through the points (3, 12) and (4, 16)
Using a proportional relationship, it is found that:
A. The slope of the line is of 4.
B. The slope is the same over both segments.
What is a proportional relationship?A proportional relationship is modeled as follows:
y = kx.
Hence a proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.
For the presented case, the two variables x and y are direct proportional, and thus the output variable y is obtained as the multiplication of the input variable x by the constant of proportionality k.
In this problem, the relationship has two points presented as follows:
(3, 12) and (4, 16).
Hence the slope, which is the constant of the relation, is given as follows:
k = 12/3 = 16/4 = 4.
Given two points, the slope is given by the change in y divided by the change in x. Hence, over each segment, the slopes are given as follows:
(1,4) and (3,12): m = (12 - 4)/(3 - 1) = 8/2 = 4.(3, 12) and (4,16): m = (16 - 12)/(4 - 3) = 4.Which are the same slopes.
Missing InformationThe problem is given by the image at the end of the answer.
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A group conducted a survey of 13,000 brides and grooms married in the united states and found that the average cost of a wedding is $23,858. assume that the cost of a wedding is normally distributed with a mean of $23,858 and a standard deviation of $5,900. (a) what is the probability that a wedding costs less than $20,000? (round your answer to four decimal places.) (b) what is the probability that a wedding costs between $20,000 and $32,000? (round your answer to four decimal places.) (c) what is the minimum cost (in dollars) for a wedding to be included among the most expensive 5% of weddings? (round your answer to the nearest dollar.)
The measures, using the normal distribution, are given as follow:
a) Probability that a wedding costs less than $20,000: 0.257 = 25.70%.
b) Probability that a wedding costs between $20,000 and $32,000: 0.659 = 65.90%.
c) Minimum cost of the most expensive 5% of weddings: $33,564
Normal Probability Distribution
The z-score of a measure X of a variable that has to mean symbolized by and standard deviation symbolized by is given by the rule presented as follows:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
The z-score represents how many standard deviations measure X is above or below the mean of the distribution, depending if the calculated z-score is positive or negative.
Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of measure X in the distribution.
The mean and the standard deviation for the wedding prices are given as follows:
μ = 23858, σ = 5900
a) The probability that a wedding costs less than $20,000 is the p-value of Z when X = 20000, hence:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
Z = (20000 - 23858)/5900
Z = -0.65
Z = -0.65 has a p-value of 0.257.
The probability that it costs between $20,000 and $32,000 is the p-value of Z when X = 32000 subtracted by the p-value of Z when X = 20000, found above, hence:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
Z = (32000 - 23858)/5900
Z = 1.38
Z = 1.38 has a p-value of 0.816.
0.916 - 0.257 = 0.659.
The minimum cost for a wedding to be in the most expensive 5% of weddings is the 95th percentile, which is X when Z = 1.645, hence:
1.645 = (X - 23858)/5900
X - 23858 = 1.645 x 5900
X = $33,564.
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WILL MARK BRAINLIEST
Suppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in meters per second and y represents the kilowatts generated. Interpret ƒ(10).
ƒ(x) = 0.08x3 + x2 + x + 0.26
Answer:f(10) or the power generated by the wind turbine at the wind speed of 10 m/s is 190.26 kW
Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at x=8.4 and x=7.3 and passes through the point (0,8.2).
Formula of parabola for given values is F(x) = 7.5(x^2-15.7x+61.32)
What is parabola?The general equation of a parabola in math is: y = a(x-h)^2 + k ,where (h,k) denotes the vertex. The standard equation of a the parabola is y^2 = 4ax.
According to given data:We have, horizontal intercepts x=8.4 and x=7.3, passes through point(0, 8.2)
As we parabola is quadratic function,
f(x) = a(x-8.4)(x-7.3)
It is passing through the point (0, 8.2)
8.2 = a(-8.4)(-7.3)
a = 8.2/61.32 =7.5 (approx)
Now, equation of parabola is
F(x) = 7.5(x-8.4)(x-7.3)
f(x) = 7.5(x^2-7.3x-8.4x+61.32)
F(x) = 7.5(x^2-15.7x+61.32)
Thus, required equation of parabola is F(x) = 7.5(x^2-15.7x+61.32).
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Norman wants to figure out how tall a light pole is. he uses his sextant to measure the angle of elevation to be 36 degree and he holding the sextant at his eye level, 5 feet from the ground.if he is 10 feet away from the light pole how tall is the light pole?
Norman will measure the light pole to be 12 feet tall
How to determine the height of the light poleInformation from the question
Norman uses his sextant to measure the angle of elevation to be 36
5 feet from the ground. if he is 10 feet away from the light pole
how tall is the light pole = ?
The height of the light pole is calculated using SOH CAH TOA
The direction of movements describes a right angle triangle of
opposite = height of the light pole
adjacent = 10 feet away from the light pole
The height is is calculated using tan, TOA let the angle be x = 36
tan x = Opposite / Adjacent
tan 36 = opposite / 10
opposite = tans 35 * 10
opposite = 7 feet
this is height 5 feet from the ground, so total height is calculated to be
5 + 7 = 12 feet
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If x=-3 and y =2 , then x^y +xy^=?
Answer:
[tex]\frac{73}{8}[/tex]
If u mean that x^y+y^x then the above answer is correct. You can more simplify it in decimals if you want.
Felipe received a $25.00 gift card for a photo center. He used it to buy prints that cost 5 cents each. The remaining balance, B (in dollars), on the card after
buying x prints is given by the following function.
B(x)=25.00-0.05x
What is the remaining balance on the card if Felipe bought 20 prints?
Answer:
24
Step-by-step explanation:
lets set up the equation
x=25-(0.05x20) this is
x=25-1
x=24
The instructions on a bottle of cough medicine state that the dose for an adult is 20 milliliters. Toms measuring device is marked in teaspoons. How many
teaspoons will Tom take for 2 doses during the day?
(Hint: 1 tsp ≈ 5 mL)
A 4 tsp
B 8 tsp
C 10 tsp
D 40 tsp
find the area of the credit card width 3 1/3in length 2 1/4in
Answer:
Step-by-step explanation:
A=lw
= 21/4 in * 1/3in= 21/12 in.^2= 7/4in^2 or 7/4 inch squared
convert 730 hours into minutes
Answer:
730 hours = 43800 minutes
Step-by-step explanation:
Formula = multiply the time value by 60
Answer:
43,800 minutes
Step-by-step explanation:
convert 730 hours into minutes
there are 60 minutes in 1 hour so:
730 * 60 = 43,800 minutes
2.
11. If N =
m
x + q
m = 9 and x = 2.
find the value of q when N = 1 4/5
41/5
Step-by-step explanation:
14/5=9+2+q
14/5=11+q
14=55+5q
14-55=5q
-41=5q
q=-41/5
in which of the following african countries is the population growth rate above 2.5% and life expectancy at least 61 years old?
Answer: Ethiopia has a population growth rate above 2.5% and a life expectancy of 61 years old
Suppose that a recent poll of american households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive. 25) what is the probability that all three randomly selected households own a dog? (round to the nearest hundredth)
There is a 0.091125 probability that all three randomly chosen houses have dogs.
In light of this, imagine that a recent survey of American homes regarding pet ownership revealed that 45% of households with pets were dog-owning, 34% were cat-owning, and 10% were bird-owning households.
• Three families are chosen at random, replaced, and with mutually exclusive ownership.
The calculation of probability is as follows based on the facts above:
=0.43^3
= 0.091125
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Write the domain as an equality
The domain of the inequality is from zero to negative infinity
[ -∞, 0)How to determine the domain of the inequalityThe domain refers to the values in the input of a function, these values are in the x direction.
The domain says the extents the values of the input is therefore no all the input values must be in the domain
Examining the graph shows that the graph reached the point x = 0 and returned with an arrow.
The arrow means that the values continued limitlessly, such limitless values are represented by infinity with symbol ∞.
The infinity is in the negative direction
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The area of a rectangle is 3/5 square meter. The width is 2/5 meter. a. What is the length of the rectangle? Write your answer as a fraction in simplest form. The length of the rectangle is _ meters. b. How many times greater is the length than the width? Write your answer in simplest form. The length is _ times greater than the width.
Answer:
a. 3/2 meters
b. 15/4 times as great
Step-by-step explanation:
You want the width of a rectangle that is 3/5 m² in area and 2/5 m long. You also want to know the factor by which the length is greater than the width.
a. WidthThe formula for the area of a rectangle is ...
A = LW
Filling in the known values, we can solve for the length:
3/5 m² = (2/5 m)·L
L = (3/5)/(2/5) m = 3/2 m . . . . . . divide by the coefficient of L
The length of the rectangle is 3/2 meters.
b. Aspect ratioThe ratio of length to width is ...
length/width = (3/2 m)/(2/5 m) = (15/10)/(4/10) = 15/4
The length is 15/4 times greater than the width.
what is 4/7 divided 5
Answer:
[tex]\dfrac{4}{35}[/tex]
Step-by-step explanation:
Dividing a number is the same thing as multiplying by its reciprocal. So:
[tex]\dfrac{4}{7} \div 5 = \dfrac{4}{7} \cdot \dfrac{1}{5}[/tex]
Finally, simplify by multiplying out the numerators and the denominators.
[tex]\dfrac{4}{7} \cdot \dfrac{1}{5} = \dfrac{4 \cdot 1}{7 \cdot 5} = \dfrac{4}{35}[/tex]
Answer:
4/7 divided by 5 is 4/35
Step-by-step explanation:
Step 1: Convert 5 into an improper fraction
A. 5 = 5/1
Step 2: Divide 4/7 by the reciprocal of 5/1
B. 4/7 ÷ 1/5 = 4/35
6x+5y=2
4x+2y=8
solve by elimination
Using the elimination method, the solution to the system of linear equations is: x = 4.5 and y = -5.
How to Solve a System of Linear Equations by Elimination?Solving a system of linear equations by elimination involves eliminating one of the variables, then solve to find the other variable.
Given the equations:
6x + 5y = 2 --> eqn. 1
4x + 2y = 8 --> eqn. 2
Multiply eqn. 1 by 2 and eqn. 2 by 5:
12x + 10y = 4 --> eqn. 3
20x + 10y = 40 --> eqn. 4
Subtract
-8x = -36
x = 4.5
Substitute x = 4.5 into eqn. 2
4(4.5) + 2y = 8
18 + 2y = 8
2y = 8 - 18
2y = -10
y = -5
The solution is: x = 4.5 and y = -5.
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whats 66 - 100
please answer fast and correctly for brainliest
Answer: -34
Step-by-step explanation:
66 minus 100 is negative 34.
