Answer:
y=-4x-4
Step-by-step explanation:
we know the slope so put it in the slope intercept form
y=-4x
Now fill it in to find y intercept with the coordinates
0=-4(-1)
0=4
We need to subtract 4 to make this equation true so the y intercept is -4
The equation will become
y=-4x-4
Hopes this helps please mark brainliest
which hypothesis or hypotheses about the relation between life satisfaction and job satisfaction has received the most empirical support?
Recent research has confirmed the Spillover Hypothesis by demonstrating a favourable association between life and job happiness.
According to the spillover hypothesis, behaviour or affect in a family system might flow immediately from one place or connection to another. Transfer takes place in the same valence, which means that one subsystem's negative affect is connected to another's negative affect, or stress at work spills over and intensifies stress at home. The compensatory hypothesis offers a different perspective by arguing that transfer between family subsystems occurs in the opposite valence, leading a person to seek fulfilment in one relationship or environment in order to make up for shortages in another.
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What is the value of y?
y =
Find the following angle measures.
mAngleJKM = °
mAngleMKL = °
Applying the definition of linear pair angles, the measures are:
y = 10
m∠JKM = 106°
m∠MKL = 74°
What is the Linear Pair?A linear pair involves two angles that lie adjacent to each other on a straight line. The sum of their measures is equal to 180 degrees, this is because linear pair angles are supplementary to each other.
Given the following:
Measure of angle JKM = (10y + 6)°
Measure of angle MKL = (8y - 6)°
Therefore:
m∠JKM + m∠MKL = 180 [linear pair angles are supplementary]
Substitute
10y + 6 + 8y - 6 = 180
Combine like terms
18y = 180
18y/18 = 180/18
y = 10
Plug in the value of y to find the measures:
Measure of angle JKM = (10y + 6)° = 10(10) + 6 = 106°
Measure of angle MKL = (8y - 6)° = 8(10) - 6 = 74°
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola is f(x) = 7(x-3)^2+5.
Given:
The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.
If the parabola has same shape then its a values are same.
so f(x) = 7x^2
here a = 7
so the equation with vertex (3,5) also has a value is 7.
(h,k) = (3,5)
f(x) = a(x-h)^2+k
= 7(x-3)^2 + 5.
Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.
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PLS HELP MEEEEEEEEEE !!!!
Answer:
Step-by-step explanation:
Ok;
1. Area is base times height.
Here shown, the base is 18cm and the height is 11cm. Don't be fooled by the 14cm for it is just the leg of a triangle not full height!!
18*11=198cm^2
2. Divide by two. We just caculated the area of the rectangle. Now we know a triangle is half of a rectangle's area so divide by 2!
198/2= 98cm^2
if l || m, solve for x and y
I NEED HELP ASAP
A 9-foot ladder rests against the side
of a wall. The bottom of the ladder is
2 feet from the base of the wall.
Determine the measure of the angle
between the ladder and the ground.
Round to the nearest tenth.
Answer:
about 77.2°
Step-by-step explanation:
The figure is omitted--please sketch it.
Make sure your calculator is in degree mode.
[tex] \cos( \alpha ) = \frac{2}{9} [/tex]
[tex] \alpha = {cos}^{ - 1} \frac{2}{9} = 77.2[/tex]
77.2 degrees
based on the t-test assuming equal variances on the t-testequal worksheet, is the difference in mean mpg between 4 and 8 cylinder cars statistically significant?
Yes, the difference in mean mpg between 4 and 8 cylinder cars statistically significant because the calculated value of t statistic is higher than the critical t value.
What is t statistic and critical value of t?
T statistic is ratio of a parameter's estimated value to its standard error when it deviates from its hypothesized value.
Critical t value is a cut-off point in t distribution
In question, the calculated t statistic is 8.1023 and critical t value one tail is 1.7139 and critical t value two tail is 2.0686. So, the value of calculated t statistic is higher than critical t value one tail or two tail. Therefore, we can reject the null hypothesis.
Thus, yes, the difference in mean mpg between 4 and 8 cylinder cars statistically significant because the calculated value of t statistic is higher than the critical t value.
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The area, Acm², of a patch of mould is measured daily. The area, n days after the measurements started, is given by the formula A = Asub0b^n". When n = 2, A = 1.8 and when n = 3, A = 2.4. Find the value of b.
Answer:
b = (4/3), with rounding
Step-by-step explanation:
Area = A, in cm^2
n = days
A(n) = [tex]A_{0}[/tex][tex]b^{n}[/tex]
------------------
Data:
n = 2, A = 1.8
A(n) = [tex]A_{0}[/tex][tex]b^{n}[/tex]
1.8 = [tex]A_{0}[/tex][tex]b^{2}[/tex]
n = 3, A = 2.4
2.4 = [tex]A_{0}[/tex][tex]b^{3}[/tex]
Although we are not given the initial area, we can still make the calculation since we have two data points and each has the same initial area, [tex]A_{0}[/tex]. Lets take the first equation and multiply it by b, in order to bring the [tex]b^{2}[/tex] to [tex]b^{3}[/tex]
1.8 = [tex]A_{0}[/tex][tex]b^{2}[/tex]
b(1.8 = [tex]A_{0}[/tex][tex]b^{2}[/tex])
1.8b = [tex]A_{0}[/tex][tex]b^{3}[/tex]
We can know from the second equation that 2.4 = [tex]A_{0}[/tex][tex]b^{3}[/tex] . We can eliminate this term in the above relationship by substituting 2.4:
1.8b = [tex]A_{0}[/tex][tex]b^{3}[/tex]
1.8b = 2.4
b = 1.3333
or (4/3)
Check:
Does the value of (4/3) for b work for both data points? To check this, we do need to assume an initial starting area. Lets assume the starting area, [tex]A_{0}[/tex] = 1.
n = 2, A = 1.8, b = (4/3)
A(n) = [tex]A_{0}[/tex][tex]b^{n}[/tex]
1.8 = 1*[tex](4/3)^{n}[/tex]
1.8 = 1.78 Close enough?
n = 3, A = 2.4, b = (4/3)
2.4 = [tex]A_{0}[/tex][tex](4/3)^{n}[/tex]
2.4 = 1*[tex](4/3)^{3}[/tex]
2.4 = 2.37 Close enough?
Find a formula for the nth term in this
arithmetic sequence:
a1 = 7, a2 = 4, a3 = 1, a4 = -2, ...
The formula of nth term is = 10 - 3n
What is AP?
A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. Take the numbers 5, 7, 9, 11, 13, and 15 as an example. . . is a sequence of numbers having a common difference of two.The n-th term of the sequence is given by:, if the beginning term of an arithmetic progression is and the common difference between succeeding members is, thenIf the AP contains m phrases, then denotes the final term, which is given by:The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.Acc to our question-
For the nth term in an algebraic seriesU(n) = a + (n - 1)dthe number of terms is n.The first term is a.d is the typical differenceFrom the preceding sequencea = 7d = 4 - 7 = - 3The nth term's formula isU(n) = 7 + (n - 1)-3= 7 - 3n + 3The ultimate solution is= 10 - 3nHence,The formula of nth term is = 10 - 3n
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what is the function rule in slope intercept form
Answer:
The picture is not Clear. Please provide a better view of the question.
Step-by-step explanation:
A thermostat in a house regulates when the heater turns on and off. The heater turns on then
the house is 4° below the set temperature and turns off when the house is 4° above the set
temperature. The temperature is set at 68°. At 10:15am the heater turns on, and at 10:30am the
heater turns off. Write a sinusoid that models the change in temperature in the house.
The sinusoid that models 4° = A cos B(x - C) and 68° = A cos B(x - C) the change in temperature in the house.
The heater turns on when the house is 4° below the set temperature and turns off when the house is 4° above the set temperature. The temperature is set at 68°. At 10:15 am the heater turns on, and at 10:30 am the heater turns off.
Temperature fluctuations can be modeled using the sine and cosine functions throughout the day.
The equations that can be used to model these data is of the form:
At 10:30 am the heater turned off,
⇒ 4° = A cos B(x - C)
At 10:15 am the heater turned on,
⇒68° = A cos B(x - C)
where A, B, and C are constants, y is the temperature in °C and x is the time
Thus, The sinusoid that models 4° = A cos B(x - C) and 68° = A cos B(x - C) is the change in temperature in the house.
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. suppose the sides of a rectangle are changing with respect to time. the first side is changing at a rate of 2 in./sec whereas the second side is changing at the rate of 4 in/sec. how fast is the diagonal of the rectangle changing when the first side measures 16 in. and the second side measures 20 in.? (round answer to three decimal places.)
Diagonal of rectangle is changing by the rate of 4.373 in. /sec.
What is rate of change ?Rate of change (ROC) is the rate at which a variable changes over a particular period of time
To find the average rate of change, divide the change in the y-values by the change in the x-values . Finding the average rate of change is especially useful for identifying changes in measurable values such as average speed or average velocity.
A ratio is a special ratio in which the two terms have different units.
Calculationthe calculation part is shown in the below picture attached .
so after seeing the solution we come to an answer of = 4.373 in./sec
therefore diagonal of rectangle is changing by the rate of 4.373 in. /sec
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1. Harper is going to create a graph of the equation y = -0.5x + 12. Which of the following will be true about the graph?
The graph will contain the origin.
The graph will increase from left to right.
The graph will cross the x-axis at (12, 0).
The graph will have a slope of -0.5.
The statement that would be true concerning the graph would be that the graph will have a slope of -0.5.
What is a slope?A slope is defined as the difference between a chosen point on the vertical and horizontal axis.
The slope of a straight line graph has a constant equation that is used to determine its slope. Thus;
y = mx + b
Where m = the measure of the steepness of the straight line graph.
From the equation of the graph that was given;
y = -0.5x + 12. The slope of the graph which is represented by 'm' would be -0.5.
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the sum of 12 terms of an arithmetic series is 186 and the 20th term is 83. find the sum of 40 terms of the series.
The Sum of 40 terms of the Arithmetic Sequence is 3,420..
Arithmetic Series is defined as a sum of the terms of arithmetic progression or sequence.
An Arithmetic progression is a sequence of terms in which the difference between two consecutive terms is a constant number.
We have following information about series
sum of 12 terms of an arithmetic series (S₁₂) = 186
the 20th term of arithmetic sequence = 83
i.e., a₂₀ = 83
As we know that nth term of arithmetic progression is aₙ= a + (n-1)d
where , a---> first term of sequence
n ----> nth term
d -----> constant difference between two consecutive terms
put n= 20 in above formula we get,
83 = a + (20-1 )d = a+ 19d ----(1)
Now , Using the sum of n arithmetic terms formula, Sₙ = n/2 ( 2a + (n-1)d)
so, for n = 12
186 = 12/2 ( 2a + 11d ) => 2a + 11d = 31 ---(2)
Solving equations (1) and (2) we get,
27d = 135 => d = 5
putting the value of d in equation (1)
83 = a + 19×5 => a = 83 - 95 = -12
thus sequence is like as -12, -7 , -2 , ------
Sum of first 40 terms of arithmetic sequence (S₄₀) = 40/2 ( 2× (-12) + 39d ) = 20 ( -24 + 39×5)
= 20( 171) = 3,420
So, required result is 3,420..
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What is an
equation of the line that passes through the points (6, 0) and (3, 4)?
The equation that passes (6,0) and (3,4) is -3y=4(x-6)
What are the different forms of straight lines ?
The following information about the straight line is required if we wish to obtain the equation for it.
1. The y-intercept and slope
2. Two-point and slope
3. Two things.
4. the intersection of the x- and y-axes
the straight line that passes through (6,0) and (3,4).
The equation can be expressed in a point-slope form which is ,
y/x-6=4/-3
∵ -3y=4(x-6)
Hence,
The equation that passes (6,0) and (3,4) is -3y=4(x-6)
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Francisco just got his driver's license and wants to rent a car. The platinum car rental company charges $180 plus $92 per hour to rent a car. The plastic car rental company charges $250 plus $75 per hour. For what number of hours would the companies charge the same amount?
6900 hours, make a list of multiples until lcm is found
(x-1)^2/x^2-1.
what is the x intercept
The x-intercept is 1 if the function is f(x) = (x-1)²/x²-1 after plugging f(x) = 0 or y = 0 the answer is 1.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function is:
f(x) = (x-1)²/x²-1
To find the x-intercept where y = 0
or f(x) = 0
0 = (x-1)²/x²-1
x ≠ ±1
x - 1 = 0
x = 1
Thus, the x-intercept is 1 if the function is f(x) = (x-1)²/x²-1 after plugging f(x) = 0 or y = 0 the answer is 1.
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A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,280 ft Determine the flag's width and length if the length is 400 ft greater than the
width
The length of rectangle is 1170 ft and width is 770 ft.
Define perimeter.The perimeter of a form is the space surrounding its edge. A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. We must sum up the lengths of the rectangle's four sides in order to get its perimeter. Since there are two of each side length, it is easy to accomplish this by simply adding the length and width and multiplying the result by two. The perimeter formula is defined as perimeter=(length + width)2.
Given,
The perimeter of the flag is 2,280 ft .
Length = 400 ft
Let l represent the size of the flag.
and
The width is w.
then in line with the preceding statement
l = w+400
Sphere size is 2280 feet.
The perimeter formula is provided by:
Perimeter = 2(Length + Width)
2280 = 2( w + w+ 400)
2280/2 = 2w - 400
1140 + 400 = 2w
1540 = 2w
width = 770
Length = 770 + 400
Length = 1170
The length of rectangle is 1170 ft and width is 770 ft.
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Trevor and Michael are hosting a banquet. They plan to spend $400, plus or minus $50, at a cost of $25 per guest. Solve |25x-400| = 50 to find the maximum and minimum number of guests. If there can be up to 7 guests at each table, what is the minimum number of tables Trevor and Michael should reserve so that every guest has a seat?
1. The maximum and the minimum number of guests that Trevor and Michael should host at the banquet are 18 and 14, respectively.
2. The minimum number of tables that Trevor and Michael will need for the banquet is 2.
How are the numbers determined?We can employ the mathematical operations of addition, multiplication, division, and subtraction to determine the numbers.
Since the budget is limited to $450 or less, we can compute the maximum and the minimum number of guests for the event, using division operation.
Total budget for the banquet = $400 ± $50
Cost per guest = $25
Maximum number of guests to expect = 18 ($450/$25)
Minimum number of guests to expect = 14 ($350/$25)
The number of guests a table can accommodate = 7
The minimum number of tables to use for the banquet = 2 (14/7)
The maximum number of tables to use = 3 (18/7)
Thus, using division operation, Trevor and Michael should expect to host between 14 and 18 guests at the banquet.
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The sum of 3 and four times a number
Answer:
-7
Step-by-step explanation:
-7.3, 7 3/4, 7.23, -7 2/3. Order the following rational numbers from least to greatest.
The order of the rational numbers from the least to greatest is [tex]-7\frac{2}{3}[/tex] < -7.3 < 7.23 < [tex]7\frac{3}{4}[/tex] .
in the question ,
it is given that the rational numbers are -7.3, [tex]7\frac{3}{4}[/tex], 7.23, [tex]-7\frac{2}{3}[/tex] .
we have to arrange the rational numbers in order from least to greatest .
For arrangement we first convert all the rational numbers in decimal form .
the decimal form of the given rational numbers are as follows .
(i) -7.3 is already given in decimal form .
(ii) [tex]7\frac{3}{4}[/tex] = (7*4+3)/4 = (28+3)/4 = 31/4 = 7.75
(iii) 7.23 is already in decimal form .
(iv) [tex]-7\frac{2}{3}[/tex] = -(7*3+2)/3 = -23/3 = -7.666
the order is -7.666 < -7.3 < 7.23 < 7.75
which is [tex]-7\frac{2}{3}[/tex] < -7.3 < 7.23 < [tex]7\frac{3}{4}[/tex]
Therefore , The order of the rational numbers from the least to greatest is [tex]-7\frac{2}{3}[/tex] < -7.3 < 7.23 < [tex]7\frac{3}{4}[/tex] .
The given question is incomplete , the complete question is
Order the following rational numbers from least to greatest.
-7.3, [tex]7\frac{3}{4}[/tex], 7.23, [tex]-7\frac{2}{3}[/tex] .
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working out the following additions
√8 + √18
[tex]\fbox{7.07...}[/tex]
First, we need the square of both numbers (8 and 18)
square of 8:
[tex]\sqrt{8}[/tex]
[tex]=2.828[/tex]
square of 18:
[tex]\sqrt{18}[/tex]
[tex]=4.242[/tex]
Now, let's add both numbers:
[tex]2.828+4.242[/tex]
[tex]=7.07[/tex]
The expected value for getting heads, on 30 coin tosses, is 15. The
expected value for rolling a 1, after 30 die rolls is 5. What is the
expected value of the sum of these events? Enter your answer in the
box.
The expected value of the sum of these events will be 2 / 3.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that the expected value for getting heads, on 30 coin tosses, is 15. The expected value for rolling a 1, after 30 die rolls is 5.
The probability of the sum will be calculated as,
P = ( 15 / 30 ) + ( 5 / 30 )
P = ( 20 / 30 )
P = 2 / 3
Therefore, the expected value of the sum of these events will be 2 / 3.
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The magnitude and direction of two forces acting on an object are 70 pounds, S76°E, and 120 pounds, N80°E, respectively. Find the magnitude, to the nearest
hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force.
The magnitude is approximately
pounds.
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
The magnitude is approximately 186 pounds.
What is meant by magnitude?A mathematical object's magnitude, often known as its size, is a quality that indicates whether it is bigger or smaller than other things of the same sort. Formally speaking, an object's magnitude represents the ordered (or ranked) outcome of the class of objects it belongs to.
We have to assume that the notation starts South and then moves 76 degrees East.
The 70-pound force is going at an angle down and to the right.
The down one is negative and the right one is positive.
We have to use the vectors as the hypotenuse of a rectangle.
70 cos(76) = vertical = 16.93 down
70 sin(76) = horizontal = 67.92 right
120 cos(80) = vertical = 20.83 up
120 sin(80) = horizontal =118.17 right
We have to add up all the values vertically and horizontally, and we get
-16.93 + 20.83 =3.9 up
67.92 + 118.17= 186.09 right
Here, the magnitude is the hypotenuse.
sqrt(15.21+34629.49) =186.13 pounds.
Direction is cos⁻¹(3.9/186.13) = 88.802
Remember this is North then 88.802 degrees East
Therefore, the magnitude is approximately 186 pounds.
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Consider the expressions x+4, x-3, and 2x+1
Create a new function, p(x) , that is the product of these three expressions.
Explain how the function demonstrates the Fundamental Theorem of Algebra.
The new function p(x) = 2x³+3x²-23x-12 is the product of expressions x+4, x-3, and 2x+1
How to create a new function and state how it demonstrates the Fundamental Theorem of Algebra?A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
Given: the expressions x+4, x-3, and 2x+1
The product of the expressions is:
p(x) = (x+4)(x-3)(2x+1)
= (x²-3x+4x-12)(2x+1)
= (x²+x-12)(2x+1)
= 2x³+2x²-24x+x²+x-12
= 2x³+3x²-23x-12
Therefore, the new function is p(x) = 2x³+3x²-23x-12.
Since the new function is a polynomial, it demonstrates the Fundamental Theorem of Algebra which states that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers
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you have seven different video games. how many different ways can you arrange the games side by side on a shelf?
The number of different ways to arrange 7 video games is = 7!
The question requests for the number of arrangements; That means we're dealing with permutation
the number of video games is 7;
To arrange 7 games, we make use of the following permutation formula;
[tex]^{n}P_{n} = \frac{n!}{(n-n)!}[/tex]
So, we have
n=7
No. of ways we can arrange is = [tex]\frac{7!}{(7-7)!}[/tex] = 7!
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Factor the expression
27 + 33 how do work it out
The factor of the expression 27 + 33 is 3.
What is meaning of factor?
A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
Factors can be found using either division or multiplication. Rules of divisibility can also be applied.
What meaning of expression?
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Given expression is 27 + 33
The factors of 27 are 1, 3, 9, 27.
The factors of 33 are 1, 3, 11, 33.
The common factor of 27 and 33 is 3.
Taking common 3 from the given expression:
27 + 33 = 3 (9 + 11)
The factor of the given expression is 3.
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Whose limeade has a weaker like flavor?
well, your proportion setup is good, let's simply use that then
[tex]\stackrel{Jaylan}{\cfrac{~~ \frac{ 3}{4 } ~~}{\frac{1}{5}}}\implies \cfrac{3}{4}\cdot \cfrac{5}{1}\implies \cfrac{15}{4}\implies \cfrac{3\frac{3}{4}}{1}~\frac{water}{lime} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Wanchen}{\cfrac{~~ \frac{ 2}{3 } ~~}{\frac{1}{6}}}\implies \cfrac{2}{3}\cdot \cfrac{6}{1}\implies \cfrac{12}{3}\implies \cfrac{4}{1}~\frac{water}{lime}[/tex]
well, the one with the lesser lime flavor will be the one that put too much water in the drink, the more water the less the fruit mix, the more waterdowned the drink is, well hell who put more water per lime? well Wanchen, shame on you.
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!
Answer:
2. 25
max = 88 feet
See the attachment photo!
Highest common factor of 32 , 48 and 72
Answer:
8
Step-by-step explanation:
4*8=32
6*8=48
9*8=72
They are all multiples of 8
Answer: 8
Step-by-step explanation: You can factor out 32, 48, and 72 by using prime factorization which is listing all of the PRIME factors for each number
32: 2 x 2 x 2 x 2 x 2
48: 3 x 2 x 2 x 2 x 2
72: 3 x 3 x 2 x 2 x 2
If you look at all the prime factors, 2 appears in every number 3 times, so you do 2x2x2 to get the final answer, which is 8.