\(y = \frac{7}{8}x + \frac{71}{8}\)
Step-by-step explanation:
i used point-slope formula
PLEASE HELP ME!!!!
The two figures are similar. Write the similarity statement. Justify your answer
GIVING BRAINLIEST!!!PLS HELP :((
The first sequence rule is subtract 10 starting from 55. The second sequence rule is add 3 starting from 6. What is the first number that appears in both sequences?
15
12
9
5
Answer:
15
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Step-by-step explanation:
yyyhjkoygjutgfdeyhgggggggre23 was the 455inches 56778888feet in fact a new republic was stolen in fact that you have no facts and no one will tell yo you have a good man with him and he had to stick around them to make it her to be able that he has some kind words to help with dysphoria or not to be in his stolen car for
Steven's heart rate is 75 beats per minute. If this is his average heart rate, what is the last thing you will multiply by to find out how many times it will beat in 10 years?
Answer:
It depends on the syntax of the expression.
Step-by-step explanation:
There are many ways to write this unit conversion (dimensional analysis).
Here's one way:
\(\dfrac{75 \, \textrm{beats}}{1 \, \textrm{min}} \times \dfrac{60 \, \textrm{min}}{1 \, \textrm{hr}} \times \dfrac{24 \, \textrm{hr}}{1 \, \textrm{day}} \times \dfrac{365 \, \textrm{days}}{1 \, \textrm{year}} \times 10\)
And here's another:
\(10 \times \dfrac{75 \, \textrm{beats}}{1 \, \textrm{min}} \times \dfrac{75 \, \textrm{min}}{1.25 \, \textrm{hr}} \times \dfrac{8,760 \, \textrm{hr}}{1 \, \textrm{year}} \times \dfrac{\dfrac{4}{5}}{\dfrac{4}{5}}\)
But the expected answer is probably:
\(10\)
Show that any function of the form
x=A*cosh(wt)+B*sinh(wt)
that satisfies the differential equation.
x''−w2 x=0
by calculating the following:
x'' = ?
w2 * x = ?
so that x'' -w2 * x = ?
By differentiating the function x = Acosh(wt) + Bsinh(wt) twice and substituting it into the differential equation x'' - w^2 * x = 0, we can calculate that x'' = -Aw^2cosh(wt) - Bw^2sinh(wt) and w^2 * x = w^2 * (Acosh(wt) + Bsinh(wt)), resulting in x'' - w^2 * x = 0.
To verify that the function x = Acosh(wt) + Bsinh(wt) satisfies the differential equation x'' - w^2 * x = 0, we differentiate x twice and substitute it into the equation.
First, we find x' (the first derivative of x):
x' = Awsinh(wt) + Bwcosh(wt).
Next, we find x'' (the second derivative of x):
x'' = Aw^2cosh(wt) + Bw^2sinh(wt).
Substituting x'' and x into the differential equation x'' - w^2 * x = 0, we have:
(Aw^2cosh(wt) + Bw^2sinh(wt)) - w^2 * (Acosh(wt) + Bsinh(wt)).
Expanding and simplifying, we get:
Aw^2cosh(wt) + Bw^2sinh(wt) - Aw^2cosh(wt) - Bw^2sinh(wt) = 0.
This simplifies to:
0 = 0.
Therefore, by differentiating the function x = Acosh(wt) + Bsinh(wt) and substituting it into the differential equation x'' - w^2 * x = 0, we have shown that x'' = -Aw^2cosh(wt) - Bw^2sinh(wt) and w^2 * x = w^2 * (Acosh(wt) + Bsinh(wt)), resulting in x'' - w^2 * x = 0.
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What are the labor supply and demand curves
The intersection of the labor supply and demand curves determines the equilibrium wage rate and quantity of labor.
The labor supply and demand curves are used to analyze the market of labor, where the demand is the amount of labor that employers are willing to hire at a given wage, and the supply is the amount of labor that individuals are willing to supply at a given wage. The labor supply curve is upward sloping and shows the quantity of labor supplied at different wages. Mathematically, this is represented as the equation: Qs = a + bw, where Qs is the quantity of labor supplied, a is a constant, b is the elasticity of labor supply, and w is the wage. The labor demand curve is downward sloping and shows the quantity of labor demanded at different wages. Mathematically, this is represented as the equation: Qd = c – dw, where Qd is the quantity of labor demanded, c is a constant, d is the elasticity of labor demand, and w is the wage. The intersection of the labor supply and demand curves determines the equilibrium wage rate and quantity of labor.
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Jerome walks 90 feet from the base of a tree and looks up. The angle from the ground to the top of the tree is 33°. How tall is the tree?
The height of the tree is approximately 156.7 feet.
What is Trigonometry?
Trigonometry is the study of angles and the angular relationships of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.
The height of the tree can be calculated using trigonometry.
Let's call the height of the tree "h".
Then, using the right triangle formed by the height of the tree, the distance from the base of the tree to where Jerome is standing, and the angle between the ground and the top of the tree, we can set up the following equation:
tan(33°) = h / 90
Solving for h, we get:
h = 90 * tan(33°)
Using a calculator to find the value of tan(33°), we get:
h = 90 * 1.730
h ≈ 156.7 feet
So, The height of the tree is approximately 156.7 feet.
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gasoline brand and weight are both quantitative variables. gasoline brand is a quantitative variable and weight is a categorical variable. gasoline brand and weight are both categorical variables. gasoline brand is a categorical variable and weight is a quantitative variable.
In "gas-mileage" experiment : (a) "gasoline-brand" is "categorical-variable" and weight is "quantitative-variable".
In this experiment, the brand of gasoline is a categorical variable because it represents different distinct categories or labels, namely Amoco, Marathon, and Speedway. Gasoline brands cannot be measured on a numerical scale, but rather they represent different brands.
The weight of the car is a quantitative variable because it can be measured on a numerical scale. The weight is given in pounds and represents a continuous range of values, such as 3,000, 3,500, or 4,000 pounds. It can be measured and compared using mathematical operations, such as addition or subtraction.
Therefore, the correct option is (a).
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The given question is incomplete, the complete question is
You are planning an experiment to determine the effect of the brand of gasoline and the weight of a car on gas mileage measured in miles per gallon. You will use a single test car, adding weights so that its total weight is 3,000, 3,500, or 4,000 pounds. The car will drive on a test track at each weight using each of Amoco, Marathon, and Speedway gasoline.
In the gas mileage experiment,
(a) gasoline brand is a categorical variable and weight is a quantitative variable.
(b) gasoline brand and weight are both categorical variables.
(c) gasoline brand and weight are both quantitative variables.
(d) gasoline brand is a quantitative variable and weight is a categorical variable.
Ella is working two summer jobs, making $22 per hour tutoring and making
$10 per hour clearing tables. In a given week, she can work a maximum of 9
total hours and must earn at least $130. If x represents the number of hours
tutoring and y represents the number of hours clearing tables, write and solve
a system of inequalities graphically and determine one possible solution.
The system of inequalities and a possible solution is by working 2 hours removing wires and 6 hours tutoring.
What is Inequalities?
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.
Here are the variables defined:
x is the quantity of tutoring hours worked.
Y = quantity of h
clearing cables is our job.
Since we know she can only work a maximum of 9 hours per week:
x + y ≤ 9
She also wants to earn at least $130 each week, so:
x*$22 + y*$10 ≥ $130
As a result, we have the inequality system listed below:
x + y ≤ 9
x*$22 + y*$10 ≥ $130
The graph of this system can be shown in the graphic below, where the intersection of the two shaded regions shows where the system's solutions are.
There are some solutions there, including:
y = 0, x = 8
y = 2, x = 6.
As a result, her situation might be resolved by working 2 hours removing wires and 6 hours tutoring.
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18. The perimeter of the given triangle is 36 cm.
Find the value of x.
Answer:
x = 7
Step-by-step explanation:
(x+2)+(3x-9)+(2x+1) = 36
6x - 6 = 36
6x = 42
x = 7
which expressions are equivalent to z (z 6)z (z 6)z, plus, (, z, plus, 6, )
The expression is equivalent to "\(z^4 * (z + 6)^2 + (z + 6)\)".
Why are the expressions "z (z + 6)z (z + 6)z + (z + 6)" and "\(z^4 * (z + 6)^2 + (z + 6)\)" equivalent?To clarify, I understand the expression as: "z * (z + 6) * z * (z + 6) * z + (z + 6)". Let's break down the expression and simplify it step by step:
Distribute the multiplication:
z * (z + 6) * z * (z + 6) * z + (z + 6)
becomes
z * z * z * (z + 6) * (z + 6) * z + (z + 6)
Combine like terms:
z * z * z simplifies to \(z^3\)
(z + 6) * (z + 6) simplifies to (z + 6)^2
The expression now becomes:
\(z^3 * (z + 6)^2 * z + (z + 6)\)
Multiply \(z^3\) and z:
\(z^3 * z\) simplifies to \(z^4\)
The expression becomes:
\(z^4 * (z + 6)^2 + (z + 6)\)
So, an equivalent expression to "z (z + 6)z (z + 6)z + (z + 6)" is "\(z^4 * (z + 6)^2 + (z + 6)\)".
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what is the probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles?
The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.
To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula
z = ( x- μ)/ σ
where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get
z = ( 42,000- 40,000)/ 3,000 = 0.67
Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.
thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.
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The correct question is given below-
A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?
3. In Mexico a lawyer is using a relatively small-scale (1:100,000) to locate an abandoned oil well on a client's property for legal purposes. He is having a difficult time finding this old we because it is overgrown with brush. Assuming that 90% of the points will be within 5 mm of their actual position on the map calculate the relative accuracy of features plotted on this map meters. Show your work to get credit.
Therefore, the relative accuracy of features plotted on the map is 500 meters.
To calculate the relative accuracy of features plotted on the map in meters, we need to convert the given accuracy from millimeters to meters.
Given:
Relative accuracy = 90%
Accuracy within 5 mm
To convert millimeters to meters, we divide by 1000:
5 mm = 5/1000 = 0.005 meters
Relative accuracy can be defined as the ratio of the actual accuracy to the map scale. In this case, the map scale is given as 1:100,000, which means that one unit on the map represents 100,000 units in reality.
To calculate the relative accuracy in meters, we multiply the actual accuracy (0.005 meters) by the map scale (100,000):
Relative accuracy = 0.005 meters * 100,000 = 500 meters
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a cone has the height of 20 centimeters and a volume of 4,170 cubic centimeters. what is the area of the base of the cone
Answer:
625.5 cm^2
Step-by-step explanation:
The volume of a cone is
V = 1/3 B h
4170 = 1/3 B 20
4170 = 20/3 B
Multiply each side by 3/20
4170 *3/20 = B
625.5 = B
Hey there! I'm happy to help you!
The formula for the volume of a cone is V=1/3(πr²h). Now, to make it look ungibberishy and all numbery...
The volume of the cone is equal to the area of the base (the circle on the bottom whose area formula is pi multiplied by the radius squared) multiplied by the height and then divided by three.
In our case, though, we already have the volume. We need to undo the equation so that we can find the area of the circle base.
In our equation the last thing we do is divide by three. So, we will want to multiply by three to undo this.
4,170*3= 12510
The other step we took was multiply the base by the height, which is 20 centimeters. To get our base, we will divide by the height instead!
12510/20= 625.5
Therefore, the area of the base of the cone is 625.5 centimeters squared.
I hope that this helps! Have a wonderful day!
Convert this decimal into scientific notation: 0.00004607
Answer:
4.607x10^-5
Step-by-step explanation:
since we are moving the decimal point to the right it would be a negative
0.00004607
- - - - -
if you count the marks I made you can see that there is 5
hopefully you understand it :)
which coordinate pairs make the equation x-9y=12 true?
1. (12,0)
2. (0,12)
3. (3,-1)
4. (0, -4/3
Answer:
(12,0) and (3, -1) and (0,-4/3)
Step-by-step explanation:
To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.
1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:
\(x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12\)
12 does equal 12, so (12,0) makes the equation true.
2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:
\(x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12\)
However, -108 does not equal 12, so (0,12) does not make the equation true.
3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:
\(x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12\)
12 does equal 12, so (3, -1) makes the equation true.
4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:
\((0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12\)
12 does equal 12, so (0, -4/3) makes the equation true.
find the value of the integral ∫ (∇ × a® ).® if the vector a® = eˆ eˆ eˆ and is the surface defined by the paraboloid = 1 − 2 − 2 , where ≥ 0.
The integral is equal to zero, since the divergence of a constant vector is always zero.
The integral ∫ (∇ × a® ).® is equal to zero. This is due to the fact that the curl of a constant vector is always zero. The vector a® is given to be eˆ eˆ eˆ, therefore it is a constant vector. Since the divergence of a constant vector is always zero, the integral is equal to zero.
To further illustrate this point, we can expand the integral in terms of its components. ∇ × a® is equal to 0 as it is the curl of a constant vector. Similarly, a® .® is equal to 0 since the inner product of two constant vectors is always zero. Therefore, the integral is equal to 0.
The surface defined by the paraboloid is not used in this calculation, as the surface does not affect the value of the integral. The surface is used to define the range of the integral, but not to calculate the value of the integral itself.
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What is the center of dilation?
Answer:
Original coordinates of F is (2,1)
Step-by-step explanation:
when DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), coordinates of point F' will be ( 1, 1/2)
help please, thanks!!!! :)
Answer:
for x: 4.5
for y:
1. 9
2. 27
Step-by-step explanation:
Each time you multiply by 3
Based on the graph shown, which features are correctly stated?
Answer:
A, B, & C.
that's features that correctly stated.
If a = 7, b = -3 and c = 2, the 2nd degree equation that corresponds to these coefficients is: 2x(x+1) + 5x² - 5x = - 2 2x² + 7x - 5 = 0 3x² -7 = 0 4(x² + 7) - 3x - 7 = 0 None of the above.
Answer:
2x(x+1) + 5x² - 5x= - 2
Step-by-step explanation:
a=7
b=-3
c=2
2nd degree equation is written as
ax^2+bx+c=0
2x(x+1) + 5x² - 5x= - 2
2x^2+2x+5x^2-5x=-2
Collect like terms
2x^2+5x^2+2x-5x+2=0
7x^2-3x+2=0
a=7, b=-3, c=2
Therefore, the 2nd degree equation that corresponds with the above coefficients is 2x(x+1) + 5x² - 5x= - 2
In 1984, the population of Greensboro, N.C. was 197,910. According to the U.S. Census Bureau, Greensboro has been decreasing at the rate of 6.9% annually since 1984. What equation models the population of Greensboro t years after 1984? a. y = 197,910(1 - 6.9)^t
b. y = 197,910(1 - 69)^t
c. y = 197,910(1 – 0.069)^t
d. y = 197,910(1 -0.69)^t
The correct response is b. y = 197,910(1.069)^t. 197,910 people called Greensboro, North Carolina, home in 1984. Since 1984, Greensboro's population has been declining at an average rate of 6.9% per year, according to the U.S. Census Bureau.
The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. An average rate of change function is a calculation that divides the amount of change in one item by the corresponding amount of change in another. Below are some examples of typical change rates: The typical bus speed is 80 km/h. Fish populations in lakes increase at a rate of 100 each week. For every 1 volt drop in voltage, an electrical circuit's current reduces by 0.2 amps.
The population of Greensboro t years after 1984 is y = 197,910(1.069)^t.
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convert 0.25 to percent
Answer
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
We can make the number 1.00 as 100%. We have to figure out how many times 0.25 goes into 1.00. 0.25 goes into 1.00 4 times. Now, we can divide 100 by 4 to get 25%
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!!
The line given by y= 4/9 x−4 is dilated by a scale factor centered at the origin. The image of the line after dilation is given by y= 9/4x−8. What is the scale factor of the dilation?
The scale factor of the dilation is sqrt(14165) / 97.
the original line has a slope of 4/9, which means that for every increase of 9 units in the x-coordinate, the y-coordinate increases by 4 units. so the line passes through the point (9, 4) and (0, -4).
the image of the line after dilation is given by y= 9/4x−8, which also passes through the point (9, 4) and (0, -8).
since the dilation is centered at the origin, the distance between the origin and the point (9, 4) should be scaled by the same factor as the distance between the origin and the point (9, -8).
the distance between the origin and (9, 4) is given by the pythagorean theorem:
d1 = sqrt(9² + 4²) = sqrt(81 + 16) = sqrt(97)
the distance between the origin and (9, -8) is:
d2 = sqrt(9² + (-8)²) = sqrt(81 + 64) = sqrt(145)
the scale factor of the dilation is the ratio of these distances:
scale factor = d2 / d1 = sqrt(145) / sqrt(97)
rationalizing the denominator, we get:
scale factor = (sqrt(145) / sqrt(97)) * (sqrt(97) / sqrt(97))
scale factor = sqrt(14165) / 97
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Jessica started her own dog sitting business. The first week, she deposited $22.00 into her
account and spent $7.27 on dog treats and toys. The second week, she deposited another $38.50
and spent $9.99 on dog food. How much money is left in her account?
Answer:
$43.24
Step-by-step explanation:
First, find the amount of $ she deposited and spent separately.
She deposited 22 in her first week and then 38.5 on the next week. This is a total of $60.50.
The first week, she spent 7.27, then next week, 9.99. This means she spent a total of $17.26.
Second, subtract the total $ she spent from the amount she deposited.
$60.50 - $17.26 = $43.24
Answer:
she has $43.24 left in her bank account .
Can someone help with this, please?
Answer:
no. will be 12 and 30--------------------------------------------
The cost per guest of for an all inclusive day trip of no more than 100 people is modeled by the function c(x)=200+2x. The number of guests is modeled by the function g(x)=100-x, where x represents the number of guests fewer than 100 that register for the trip.
The composite function (c . g)(18) has a value of 19352
The interpretation is that the total cost of 18 guest is $19352
How to evaluate and intepret the composite function (c . g)(18)?From the question, we have the following parameters that can be used in our computation:
The cost per guest function c(x) = 200 + 2x.
The number of guest function g(x) = 100 - x
The composite function (c . g)(18) is calculated as
(c . g)(x) = c(x) * g(x)
Substitute the known values in the above equation, so, we have the following representation
(c . g)(x) = (200 + 2x) * (100 - x)
Substitute 18 for x in the above equation
This gives
(c . g)(18) = (200 + 2 * 18) * (100 - 18)
Evaluate
(c . g)(18) = 19352
Hence, the value of (c . g)(18) is 19352 and it represents the total cost
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Complete question
The cost per guest of for an all inclusive day trip of no more than 100 people is modeled by the function c(x)=200+2x. The number of guests is modeled by the function g(x)=100-x, where x represents the number of guests fewer than 100 that register for the trip.
Evaluate(c ∙g )(18) and interpret what it means in the context of the problem.
anyone need help with a subject mark me brainlist
Answer:
people cant mark you brainlest but you can mark people who answer your questions brainliest
Step-by-step explanation:
Worksheet 1.3
Part 1: Write a math expression for each problem (model the problem).
1)
Lumpy drove for h hours at 50 mph. How far did he drive?
Answer:
50h milesStep-by-step explanation:
For us to write a math expression for the problem, we will use the formula for calculating speed.
Speed is the change of distance of a body with respect to time.
Mathematically, Speed = Distance/Time
Distance = Speed * Time
If Lumpy drove for h hours at 50 mph, then Lumpy speed = 50mph and time = h hours.
Substituting the given parameters into the formula to get the distance;
Distance = 50mph * h hours
Distance = 50h miles
Hence the math expression that modeled how far Lumpy drive is 50h miles
A researcher finds that two variables, A and B, are correlated. All of the following could be true EXCEPT O a. Variable A causes changes in variable B O b. Variable B causes changes in variable A O c. Variables A and B are related O d. Variables A and B are unrelated e Variables A and B are related because they are both caused by variable
Answer:
d. variables A and B are unrelated
(make sure that these were the only options, it could happen that two variables that might have a correlation coefficient might be totally unrelated)
Step-by-step explanation:
Since the variables A and B are already correlated, then they cannot be unrelated
PLEASE HELP ME! PRETTY PLEASE?
Answer: I believe the correct answer is C.
Step-by-step explanation:
Answer:
its C
Step-by-step explanation: