Answer:
The slope is 2/9.
Step-by-step explanation:
(15, 10) and (60, 20)
m = 20-10/60-15
m = 10/45
m = 2/9
What is the equation, in stanard form, of a parabola that models the values in the table x-3 0 2 f(x) -8 -2 -28
The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.
Given that,
The values of the x are -3,0,2 and the f(x) are -8,-2,-28
We have to find the equation of the parabola with the x and f(x) values.
We know that,
The equation of the parabola of the form f(x) = ax²+bx+c
So,
-3a-3b+c=-8 ----->equation(1)
c=-2
2a+2b+c=-28 ------>equation(2)
Substituting c=-2 in equation(1) and equation(2)
-3a-3b-1+8=0
-3a-3b+7=0 ------>equation(3)
2a+2b-2+28=0
2a+2b+26=0 ------>equation(4)
Subtracting 2×equation(3) and 3×equation(4)
b=5
Substituting in equation(1)
a=7
Therefore, The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.
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10, 12, 11, 13, 14, 12, 13, 14, 13, and 12 find the mean.
The mean of the given data is 12.4
What is mean?The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values.
Given that, a data, 10, 12, 11, 13, 14, 12, 13, 14, 13, and 12
Arranging the data in ascending order, 10, 11, 12, 12, 12, 13, 13, 13 14, 14
The sum is = 10+12+11+13+14+12+13+14+13+12 = 124
Total number of data = 10
Mean = sum of the numbers/ total numbers of data
Mean = 124/10
Mean = 12.4
Hence, the required mean is 12.4
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given the following prices and unit conversions, rank the brands from lowest to highest unit price.brand a: $1.48 for 2.5 poundsbrand b: $1.30 for 907.18 grams; 1 pound is approximately 453.59 gramsbrand c: $1.55 for 50 ounces; 1 pound is equal to 16 ouncesa.brand a, brand b, brand cb.brand a, brand c, brand bc.brand b, brand a, brand cd.brand c, brand a, brand b
The correct order for the lowest to highest unit price is:
Brand C < Brand A < Brand B.
In this question we have been given the prices and unit conversions.
We need to rank the brands from lowest to highest unit price.
Brand A: $1.48 for 2.5 pounds
Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams
Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces
Given that:
1 pound = 453.59 grams
And 1 pound = 16 ounces
After conversion:
2.5 pounds = 2.5x16 ounces
= 40 ounces
and 907.18 grams = (907.18x16/453.59) ounces
= 32 ounces
Now we find the unit price for each brand by unitary method.
Brand A: $1.48 for 40 ounces
so, the unit price = 1.48/40
= $0.037 per ounce
Brand B: $1.30 for 32 ounces
unit price = 1.30/32
= $0.041 per ounce
Brand C: $1.55 for 50 ounces
Unit price = 50/1.55
= $0.031 per ounce
Therefore, The order for lowest to highest unit price:
Brand C < Brand A < Brand B
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What is the slope of the line?
-3
3
-1
1
By analyzing the given line mathematically, we get the required slope of the line as 3.
What is Slope ?A line's steepness and direction can be expressed as a value called slope. It is frequently represented in variable format by the letter m. Its gradient or rate of change are other names for a line's slope.
The rise over run or slope formula, often known as the vertical change in y divided by the horizontal change in x, To determine the change in y over the change in x, the slope formula requires two points, (x1, y1) and (x2, y2).
As from the Line,
Two points = (1,2), (2,5)
(x1, y1) = (1,2)
(x2,y2) = (2,5)
Using two point we can calculate slope as
= [tex]\frac{y2-y1}{x2-x1}[/tex]
Putting the points in the formula, we get:
[tex]\frac{5-2}{2-1}[/tex]
= 3
Hence, we get the required slope as 3.
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A line has a slope of -9 and includes the points (2, w) and (1, 7). What is the value of w?
Answer:
-2
Step-by-step explanation:
y=-9x+b
7=-9+b b=16
w=-9*2+16
w=-2
WILL MARK BRAINLIEST ‼️‼️
MULTIPLE CHOICE‼️
Which equation illustrates the identity property of multiplication?
Answer:
C
Step-by-step explanation:
Anything multiplied by one is itself...its identity
16. The points graphed below show the how completing homework can affect a student's test scores.
What is the meaning of the slope of the line in
the context of the problem?
A student's test score goes down 20 points
every time they complete 2 homework
assignments
A student's test score goes up 9 points every
time they complete 1 homework assignment
A student's test score goes down 10 points
every time they complete 1 homework
assignment
A student's test score goes 80 points every
time they complete 1 homework assignment
The meaning of slope of the line in the context of the problem is a student's test score goes up 9 points every time they complete 1 homework assignment.
What is Slope?Slope of line is shows how much a line is inclined with respect to the X axis. In other words, it can also be defined as the change in y coordinates with respect to the change in x coordinates.
Slope of the line can be calculated if two points (x₁, y₁) and (x₂, y₂) are given as,
Slope = (y₂ - y₁) / (x₂ - x₁)
From the graph, take any two points on the line.
For instance, we take initial point (1, 20) and final point (10, 100).
Slope = (100 - 20) / (10 - 1)
= 80/9
≈ 9
From the definition of slope, slope equals 9 means y values goes 9 points up with respect to one unit up in the x values.
Hence we got that a student's test score goes up 9 points every time they complete 1 homework assignment.
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Solve the inequality for x.
2(4x+9) ≤5x+3
What is 9/12 in simplest form? A 2/3 B 3/4 C 12/16 D 10/13
3/4 is 9/12 in simplest form.
What is 9/12 in simplest form?The simplest form of 9/12 is 3/4.To reduce a fraction to its simplest form, you need to divide the numerator and denominator by the same number until it cannot be divided further.In this case, both 9 and 12 can be divided by 3, which results in the fraction 3/4.To divide a fraction by a number, you need to divide the numerator by the number and divide the denominator by the same number. For example, if you divide 9/12 by 3, you would get 3/4.This is because when you divide 9 by 3, you get 3, and when you divide 12 by 3, you get 4.The other fractions given (2/3, 12/16, and 10/13) are not the simplest form of 9/12 and therefore are not the answer.The simplest form of 9/12 is 3/4.To learn more about simplifying fractions refer to:
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if an advertisement is placed in 4 different places in vogue magazine and then runs for 5 issues, the number of opportunities to see would be: group of answer choices depends on the gross rating points for vogue. 15 20 10
If an advertisement is placed in 4 different places in vogue magazine and then runs for 5 issues, the number of opportunities to see would be 20
Opportunity to See reveals the typical frequency with which a person has encountered a specific advertising channel.
The OTS is used to assess the success of advertising campaigns along with the Gross Rating Point (GRP) and other information.
The OPS can be calculated using the formula below: The total number of individuals contacted is known as the net reach. The amount of people reached, regardless of the number, is known as the gross reach.
According to the question,
Number of places advertisement is placed = 4
Number of issues = 5
Therefore , Opportunities to see would be = 4 × 5
=> 20
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Given the drawing as shown below and that p parallel q, which of the following cannot be supported?
Answer: It's B
Step-by-step explanation:
It shows that Angle B is congruent to angle g but it actually isnt
Answer:
B. ∠b ≅ ∠g
Step-by-step explanation:
Supplementary angles
Two angles whose measures sum to 180°.
Linear Pair
Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).
Same-side Interior Angles Theorem
When two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).
Vertical Angles Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
------------------------------------------------------------------------------------------
Statement A
∠f and ∠h are vertical angles. Therefore, according to the Vertical Angle Theorem, ∠f ≅ ∠h.
Statement C
As ∠d and ∠h are the interior angles on the same side of the transversal [tex]\ell[/tex], according to the Same-side Interior Angles Theorem, ∠d and ∠h are supplementary.
Statement D
∠a and ∠b are a linear pair, therefore ∠a and ∠b are supplementary.
Therefore, Statement B cannot be supported by the evidence shown.
A satellite encircles Mars at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is A)Zero B)the same C)1/3 D)1/16
The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars is (D) 1/16.
The term Acceleration defined as the gravity at the surface of Mars is given by the formula
Gₙ = GM/R²
where
M refers mass of Mars
R refers radius of Mars
Here we need to find if we take a point which is at height 3 times the radius of Mars from its surface.
While we take the height 3 times the radius of Mars from its surface.
The it can be written as,
=> Gₙ = GM/(3R + R)²
When we expand it then we get.
=> Gₙ = GM/16R²
Therefore, the resulting gravity on the surface of the mars is 1/16.
So, the option (D) is correct.
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8.
supplementary angles. IfAnswer:
Do u like m&m because I do
An online streaming service charges a monthly fee as well as a one-time sign-up fee. The cost for this online streaming service is modeled by the following function where m represents the number of months the service is subscribed to and C(m) represents the total cost given that amount of time:
C(m) = 13m + 9
In the above function, what is the slope?
What is the y-intercept?
How do we interpret the slope of this function?
How do we interpret the y-intercept of this function?
The slope of the given line is 13 and the y - intercept of the line is 9.
What is equation of line?
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.
Consider, the given equation of line,
C(m) = 13m + 9
We have to find the slope and y - intercept of the given equation.
From the given equation the slope of the equation is 13 and the y - intercept is 9.
Consider, the general equation of line
y = mx + c
where,
m is the slope of line and
c is the y - intercept of the line.
Compare the given equation C(m) = 13m + 9 with, y = mx + c
⇒ m = 13 and c = 9
Hence, the slope of the given line is 13 and the y - intercept of the line is 9.
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t^2-t-6/t^2+6+9 • t+3/t^2-4
Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 5 population means are not all equal. We should expect that
all 10 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 5 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 3 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
When Null hypothesis is rejected in ANOVA then we expect that at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
In an ANOVA, the absence of a mean difference is always the null hypothesis.
If the test statistic from the table exceeds the F critical value with degrees of freedom in the k-1 numerator and N-k denominator, the null hypothesis will be rejected.
The means of all the groups are not equal, one deduces if the null hypothesis is rejected. Post-hoc analyses reveal to the researcher which groups differ from one another.
The goal of an ANOVA is to find out if there is a statistically significant difference between the groups if yes then at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
Option (d) is correct
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The table and grab below shows the distance travel between two different objects which statement is correct about the speed of the two objects
The statement which is correct about the speed of the two objects is both travel at steadily increasing speed.
What is meant by direct relation?A direct relation exists when the two variables rise or fall together. In a straight link, as X rises, Y rises as well. A straight relationship will always have a positive slope on a graph.
What is speed?Speed is the pace at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
The graph shows the direct relation that means with increasing time and distance speed will increase. Moreover, the table also shows direct and increasing relation about the speed of two objects so the statement both travel at steadily increasing speed is correct.
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Is 5x/4-y/3 = 6 linear or non linear
Answer:
linear
Step-by-step explanation:
To tell if a function is linear, simply look at the exponents of the variables "x" and "y". Both of these exponents will have to be one and only one (1), any other exponent will turn the function into non-linear. Radicals also count as exponents different than one, because they are fractional exponents. Since there are no radicals or exponents written in this equation, we can conclude that all variable exponents are one (1), hence it's a linear equation.
Given a2 = 7 and a5 = −56 of a geometric sequence, what is the recursive equation for the nth term? a an = 2(an − 1), a1 = 3.5 b an = 2(an − 1), a1 = −3.5 c an = −2(an − 1), a1 = 3.5 d an = −2(an − 1), a1 = −3.5
Answer: an=-2(an-1), a1=3.5
Step-by-step explanation: took the quiz and got it right
An = -3.5(-2)ⁿ⁻¹ and -3.5 are the Nth and first terms of the above sequence, respectively.
What is Geometric sequence?Every term in a geometric series is obtained by multiplying the term before it by the same number. Aₙ = a₁ rⁿ⁻¹ is the general phrase for it. The common ratio is denoted by the number r.
Given a₂ = 7 and a₅ = −56 for a geometric sequence.
From the general formula of geometric sequence's nth term
Aₙ = a₁ rⁿ⁻¹
Thus
A₂ = 7 = a₁ r²⁻¹ = a₁ r
A₅ = -56 = a₁ r⁵⁻¹ = a₁ r⁴
comparing both equations
A₂/ A₅ = a₁ r / a₁ r⁴
=> -7/56 = 1/r³
=> r³ = -8
=> r = -2
putting this value of r in equation 1
a₁ = -7/2
Hence, for the nth term of the sequence
Aₙ = -7/2(-2)ⁿ⁻¹
Therefore, the Nth term and the first term of the given sequence are Aₙ = -3.5(-2)ⁿ⁻¹ and -3.5 respectively.
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Use pentagon ABCDE to answer the following. What are the coordinates of B after the pentagon is rotated 90 degrees about the origin?
The coordinates of B after the rotation of 90 degrees about the origin is (c) (-5, 1)
How to determine the coordinates of B after the rotationThe figure of the pentagon missing in the question is added at the end of this solution as an attachment
From the question, we have the following parameters that can be used in our computation:
Coordinate of point B = (1, 5)
Also, from the question, we have the transformation to be
Rotation of 90 degrees about the origin
Mathematically, the rotation of 90 degrees about the origin can be represented as
(x, y) → (-y, x)
Substitute the known values in the above equation, so, we have the following representation
Coordinate of point B after rotation = (-5, 1)
Hence, the coordinate of point B after the rotation is (c) (-5, 1)
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let x represent the full height of a certain species of tree. assume that x has a normal probability distribution with mean 224.4 ft and standard deviation 44.7 ft.
The mean of the distribution of sample means x has a normal probability distribution is μ = 224.4 ft .
Given :
let x represent the full height of a certain species of tree. assume that x has a normal probability distribution with mean 224.4 ft and standard deviation 44.7 ft .
What is mean ?
Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers .
we know that ,
Mean = sum / number of
so here given μx = 224.ft which is nothing but the mean .
so μx = μ = 224.4 ft
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Jessica’s is making $300 less than four times what she was making when she started working. Let s represent her starting salary. Write an expression showing how much Jessica is making now in terms of her starting salary, s. Show work.
Answer:
4s-$300
Step-by-step explanation:
Two pieces of information given describe Jessica's salary in relation to her starting salary. This information is that she makes nearly four times her starting salary (multiplication) and the exact amount she is short of exactly four times is $300 (subtraction). As with the order of mathematical operations, start with multiplication, then put the subtraction into the expression.
s
4s
4s-$300
This final expression shows how much she is making now in terms of her starting. salary
The variation in temperature (in Celsius) of the kinematic viscosity (in m? /s) of some synthetic oil was found to be as follows: T = 10 20 40 60 80 100 120 M = 2.5 X 10-: 5.1 X 10-4 0.95 X 10-4 4.98 X 10-5 2.12 X 10-5 1.05 10-s 5.87 X 10-6 1 We will develop best fit of this data to the exponential function / = exp (~b/T): (a) Use a linear regression analysis to determine the parameters and b Hint: yOu will need to transform the data as preliminary step. See the table in the notes regarding the details of this. Additionally you will need to transform the T data because of the -1/T in the fit function_ (b) Plot the transformed data and linear regression curve on the same graph:
a) Using a linear regression analysis, the parameters a and b can be found by transforming the data as follows:
log(M) = log(a) - b/T
log(M) log(2.5 x 10-4) log(5.1 x 10-4) log(0.95 x 10-4) log(4.98 x 10-5) log(2.12 x 10-5) log(1.05 x 10-5) log(5.87 x 10-6)
T 10 20 40 60 80 100 120
1.3979 0.6989 -0.0041 -1.2998 -2.1245 -2.9594 -3.7697
Using the transformed data, a linear regression analysis can be used to find the parameters a and b.
b) Plotting the transformed data and the linear regression curve on the same graph:
c) Using the same graph to plot the data and the best fit exponential curve:
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What is the answer for identifying the slope and Y intercept for this graph ?
How could you organize the weighting and grades information differently so that Oscar's and Reagan's final grades are given by WG?
Answer i just need points
Step-by-step explanation: maybe 90
The proportion of households that own mutual funds but not individual stocks or individual stocks but not mutual funds is a. 40%. b. 60%. c. 80%. d. 100%
The proportion of households that own mutual funds but not individual stocks or individual stocks but not mutual funds is in option (b) 60%.
Proportion: Two ratios are said to be proportional if they express the same relationship.
Given that:
P (households owning mutual funds) = 60% = 0.6
P (households owning individual stocks) = 40% = 0.4
P (households owning both mutual funds and individual stocks) = 20% = 0.2
P (households that own mutual funds but not individual stocks or individual stocks but not mutual funds)
= P(A) only + P(B) only = [P(A) - P(A∩B)] + [P(B) - P(A∩B)]
= 0.4 + 0.2 = 0.6 = 60%.
Please refer to this complete question:
In a certain town, 60% of the households own mutual funds, 40% own individual stocks, and 20% own both mutual funds and individual stocks. The proportion of households that own mutual funds but not individual stocks or individual stocks but not mutual funds is
a. 40%.
b. 60%.
c. 80%.
d. 100%
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using the least-squares regression line, calculate the predicted value and residual value for the data point where the non-native grass biomass is equal to 35 and the coastal sage scrub biomass is equal to 20. give your answers precise to three decimal places.
By using the least-squares regression line the equation will be y = 1.518x + 0.305.
Let us find the value of slope and y-intercept that suits the data y = mx + b
And then , we have to find the value of x² ,∑x,∑y,∑x²,∑xy also N
Then, we have to calculate the slope m
m = n∑(xy) - ∑x ∑y / n ∑(x²) - (∑x)²
= 5 X 236 -26 X 41 / 40 - 676
= 249 / 164
= 1.5183
Then , we hace to calculate the intercept b
b = ∑y - m∑x / n
= 41 - 1.5183 X 26 / 5
= 0.3049
After this we have to assemble it in the equation of line
y =mx + b
Therefore ,
y = 1.518x + 0.305
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What are the coefficients in the following expression x^2+2x-5xy-y+3y^4
Answer:
1,2,-5,-1,3
Step-by-step explanation:
the coefficients are the numbers before the variables (x and y)
if there is nothing infront of the variable then the coefficient is 1
if there is only a negative sign infront of the variable then the coefficient is -1
Hurry please
Which line has a y-intercept of 2 and an x-intercept of -3?
W.
X.
Y.
Z.
Answer:
The answer is going to be y because you can see that it hits 2 on the y-intercept and -3 on the x-intercept
Step-by-step explanation:
Here is the one that you need
check the screenshot
Answer:
a = 1
h = 4
k = -4
Step-by-step explanation:
