\(W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\\)
=====================================================
Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is \((x,y) \to (kx,ky)\) with k = 2. So we can say the more specific dilation rule is \((x,y) \to (2x,2y)\)
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
V = (-2, -1)W = (-2, 2)X = (0, 2) Y = (3, -1)will dilate to the corresponding image points
V ' = (-4, -2)W ' = (-4, 4)X ' = (0, 4) Y ' = (6, -2)as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.
Which list the students in order greatest distance from school to least distance 1.Katie,ramona,josie,Katie.2.katie,josie,romona,teri 3.teri,Ramona,josie,katie 4.Ramona,teri,katie,josie
Answer: Katie, Josie, Ramona, Teri
Step-by-step explanation:
Answer:
1.Katie,ramona,josie,Katie.2.katie,josie,romona,teri 3.teri,Ramona,josie,katie 4.Ramona,teri,katie,josie
Step-by-step explanation:
the carrying capacity of a pipe is directly proportional to the area of its cross section. if a cylindrical darin pipe can carry 36 lites per second determine the percentage increase in the diameter of the drain pipe necessary to enable itvto carry 60 litres per second?
As per the given data, to enable the drain pipe to carry 60 liters per second, there needs to be a 66.67% increase in the diameter of the drain pipe.
We must comprehend the link between the carrying capacity and the area of the pipe's cross-section in order to calculate the percentage increase in the drain pipe's diameter required to make it capable of carrying 60 litres per second.
The cross-sectional area of the pipe directly relates to its carrying capacity. This implies that the carrying capacity will grow if the cross-section's area increases.
Q ∝ A
Q1/A1 = Q2/A2
A2 = (Q2/Q1) * A1
A2 = (60/36) * A1
A2 = (5/3) * A1
Percentage increase = (A2 - A1)/A1 * 100
Percentage increase = [(5/3) * A1 - A1]/A1 * 100
Percentage increase = (2/3) * 100
Percentage increase = 66.67%
Thus, the answer is 66.67%.
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a parking lot is divided in 12 equal spaces. 3 of the spaces are used for employee parking. What fraction of the total number of spaces is not used for employee parking?
What is the missing value for x?
The calculated value of the missing x value is 82 degrees
Calculating the value of the the missing value for x?From the question, we have the following parameters that can be used in our computation:
The cyclic quadrilateral
Here given a quadrilateral inside the circle, we know that,
Sum of opposite angle of cyclic quadrilateral is 180 degree;
Then, we have
x + 98° = 180°
Evaluate the like terms
x = 82°
Hence, the value of the missing value for x is 82 degrees
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what is 11/4 times 4/9
Answer: 11/9
Step-by-step explanation:
you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9
Answer:
11/4 times 4/9 is 11/9
Step-by-step explanation:
We have to find,
(11/4) times 4/9
\((11/4)(4/9) = (11*4/4*9)\)
We can cancel the 4s from the numeratorand denominator to get,
\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)
The answer is 11/9
What is the length of leg s of the triangle below?
Answer:
i normally know these but i honestly dont know but can you please put branliest
Step-by-step explanation:
Step-by-step explanation:
Keep in mind that this triangle is a 45-45-90 triangle meaning that it's isosceles
This means that the other side is also equal to s
The best way to solve this is by using the pythagorean theorem
\(a^{2}\)+\(b^{2}\) = \(c^{2}\)
10\(\sqrt{2}\) = c (because it's the hypotenuse or the longest side)
s = a
s= b
Substitute the values into the formula stated above
\(a^{2}\)+\(b^{2}\)= \(c^{2}\)
\(s^{2}\)+\(s^{2}\) =(10\(\sqrt{2}\)\()^{2}\)
Simplify
\(2s^{2}\) = \((\sqrt{102} )^{2}\)
\(2s^{2}\)= 102
Now continue simplifying till you completely solve it
\(\frac{2s^{2} }{2}\)= \(\frac{102}{2}\)
\(s^{2}\)= 51
\(\sqrt{s^{2} }\) = \(\sqrt{51}\)
s=\(\sqrt{51}\)
I hope this helps!!!
A fireworks mortar is launched straight upward from a pool deck platform 6 m off the ground at an initial velocity of 48 m/sec.
The height of the mortar can be modeled by h(t)=-4.9t^2+48t+6, where h(t) is the height in meters and t is the time in seconds after launch. What is the maximum height? Round to the nearest meter.
Check the picture below.
so the maximum height will occur at its vertex y-coordinate.
\(\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-4.9}t^2\stackrel{\stackrel{b}{\downarrow }}{+48}t\stackrel{\stackrel{c}{\downarrow }}{+6} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 48}{2(-4.9)}~~~~ ,~~~~ 6-\cfrac{ (48)^2}{4(-4.9)}\right) \implies \left( - \cfrac{ 48 }{ -9.8 }~~,~~6 - \cfrac{ 2304 }{ -19.6 } \right)\)
\(\left( \cfrac{ 48 }{ 9.8 } ~~~~ ,~~~~ 6 +\cfrac{ 2304 }{ 19.6 } \right) ~~ \approx ~~ (4.89~~,~~\text{\LARGE 124})\)
Jori has 7 boxes of books, with each box holding the same number of books. He has 126 books in all. How many books are there per box?
Answer: There will be a total of 18 books per box.
Step-by-step explanation:
Here,
Total number of boxes = 7
Total number of books = 126
Let n be the total number of books per boxes.
Now,
n = 126 / 7 = 18
Therefore, the total number of books per boxes is 18.
You invested $4000 between two accounts paying 3% and 4% annual interest. If the total interest earned for the year was $130, how much was invested at each rate?
You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.
To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).
According to the given information, the total interest earned from both investments is $130. So we can set up the equation:
0.03x + 0.04($4000 - x) = $130
Simplifying the equation:
0.03x + 0.04($4000 - x) = $130
0.03x + $160 - 0.04x = $130
-0.01x = $130 - $160
-0.01x = -$30
x = -$30 / -0.01
x = $3000
Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
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What is the scale factor of AABC to A DEF?
A.1/2
B.1/3
C.3
D.2
Stand with each of your feet on a separate sheet of paper.
Start to run. What would happen what Newton's Law is this
Answer:
Step-by-step explanation:
Newton's first law of motion, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity, unless acted upon by an external force.
If you are standing on separate sheets of paper and start running, your body will experience a forward motion. However, the sheets of paper under your feet will initially resist the motion due to friction. The force of friction will create an equal and opposite force, causing the sheets of paper to slide backwards. As you continue to run, the friction between your feet and the paper will decrease, and the sheets of paper may eventually stop sliding and you will continue running with a constant velocity.
This is an example of Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. The force you apply to the ground when running is the action, and the force of the ground pushing back on you is the reaction.
a sales manager analyzed the sales, in dollars, y, of snow shovels compared to the outside temperature, in degrees fahrenheit, x. the manager calculated the correlation coefficient of r
The correlation coefficient of r measures how closely the two variables, x and y, are related. If the coefficient is close to 1, it means that the two variables are strongly related, whereas if it is close to 0, it means that there is no relation between them.
The correlation coefficient of r is a measure of how closely related two variables are to each other. It is calculated by taking the covariance of the two variables and dividing it by the product of their standard deviations. The coefficient ranges from -1 to +1, with -1 indicating a perfectly negative linear relationship, 0 indicating no relationship, and +1 indicating a perfectly positive linear relationship. In the case of the sales manager analyzing the sales of snow shovels compared to the outside temperature, the correlation coefficient of r can be used to measure the strength of the relationship between the two variables. If the coefficient is close to 1, it indicates that the two variables are strongly related, while a coefficient close to 0 indicates that there is no relation between them.
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7) In Emily's bead collection, 1/2 of her beads are red and 1/4 of her beads
are green. What fraction of her beads are NOT red?
Select the correct answer.
A food manufacturer recently developed a new preservative to extend the shelf life of its perishable food items. It makes two
batches of the perishable items. The preservative is added only to the second batch. After some time, researcher compares
the shelf lives of the batches. Which method is the researcher applying?
O experiment
O observational study
O separation study
O survey
Submit
The researcher is conducting an experiment to evaluate the effectiveness of the new preservative in extending the shelf life of the perishable food items.
The method that the researcher is applying in this scenario is an experiment.
In an experiment, the researcher manipulates or controls one or more variables to observe the effects on other variables. In this case, the researcher is comparing the shelf lives of two batches of perishable items, where the only difference is the addition of the new preservative to the second batch. By adding the preservative to one batch and not to the other, the researcher is introducing a controlled variable to test its impact on the shelf life of the perishable items.
Therefore, the researcher is conducting an experiment to evaluate the effectiveness of the new preservative in extending the shelf life of the perishable food items.
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The cafeteria has 44 chairs and 8 tables. If the same number of chairs are placed at each table, how many chairs will be at each table? Will there be any extra chairs? If so, how mamy? Wrote your answer in a sentence.
Answer:
5 chairs at each table and Yes there will be 4 chairs left over
Step-by-step explanation:
5*8= 40
44-40= 4
Sentence: 5 chairs will be placed at each table and there will be 4 chairs left over .
Answer:
"There will be five seats at each table and will be four chairs left over since five times eight equals 40 so there will be four chairs left over"
Step-by-step explanation:
you can copy that sentence
Calc II Question
The base of s is an elliptical region with boundary curve 9x^2 + 4y^2 = 36
Cross sections perpendicular to the x axis are isoscelees right triangle with hypotension in the base.
Correct answer is 24 but I don't know how they go that
Answer:
See below for explanation
Step-by-step explanation:
The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:
\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)
As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).
Hence, the area function for our cross-sections are:
\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)
Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:
\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)
Therefore, this explanation confirms that the correct volume is 24!
20 characters just for brainly it’s all urs
Answer:
1 mm Hg per year
Explanation:
Here equation : y = x + 95
Comparing with slope intercept formula: y = mx + b
where m is slope and b is y-intercept
We can identify that this equation slope: 1 and y-intercept: 95Slope determines the increase per year.
Equation given
y=x+95Comapre to slope intercept form y=mx+b
Slope=1Y intercept=b=95Rate of change=Slope=1mm HG /year
Option AWhat is the equation to 6x=0.4
Answer:
Step-by-step explanation:
15
Driving on the highway, you can safely drive 65 miles per hour. How far can you drive in ‘h’ hours? What is the range of the function which defines this situation?A) the number of hours you driveB) 65C) the distance you driveD) the amount of gas you use
SOLUTION:
Since the safe driving speed is 65 miles per hour.
We can drive
\(65h\text{ }miles\)in h hours.
The range of the function that defines the situation is the distance you drive
solve the inequality. graph your solution
6(y+1)>6
Step-by-step explanation:
\(6(y + 1) > 6 \\ 6y + 6 > 6 \\ 6y > 0 \\ y > 0\)
A patient is using Humulin insulin U100, the patient is to use 35units three times a day, how many milliliters will be used each day
Answer:
Step-by-step explanation:
(35 units three times a day) comes out to (35 units / day)(3 times per day), or
105 units per day
Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
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Need help with this math step by step please anyone?
y
4
Solve for y.
Then, find the side lengths of the
largest triangle.
Fill in the green blank.
8
X
2
+
2
8
y
y
[?]
X
Enter
Help
Skip
Answer:
y = 4\(\sqrt{5}\) , ? = 10
Step-by-step explanation:
using Pythagoras' identity on the smallest right triangle
x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )
x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)
using Pythagoras' identity on the middle right triangle
y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )
y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)
using Pythagoras' identity on the largest right triangle
?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100
Take square root of both sides
? = \(\sqrt{100}\) = 10
I will increase your salary from $12,000 to $15,000. What is the percentage increase
Answer:
i think 20%
Step-by-step explanation:
The percent increase of the salary is 25%.
We have,
the salary increases from $12,000 to $15,000
So, Change in Amount= (15,000 - 12,000)
= 3, 000
Now, Percent increase = change in amount/ original amount x 100
= 3000/ 12000 x 100
= 1/4 x 100
= 100/4
= 25%
Thus, the percent increase is 25%.
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An alloy consists of nickel, zinc, and copper in the ratio 7:2:9. How many kilograms of each metal are needed to make 3.8 kg of this alloy?
NEED ASAP!! PLEASE! NO LINKS OR ANYTHING!! THANKS SO MUCH!!
Answer: Nickel = 0.4 kg, Zinc = 1.4 kg, Copper = 1.8 kg
Step-by-step explanation:
Nickel: 2x
Zinc: 7x
Copper: 9x
Total: 3.6 kg
Nickel + Zinc + Copper = Total
2x + 7x + 9x = 3.6
18x = 3.6
\(\frac{18x}{18}=\frac{3.6}{18}\)
x = 0.2
Nickel: 2x = 2(0.2) = 0.4
Zinc: 7x = 7(0.2) = 1.4
Copper: 9x = 9(0.2) = 1.8
does this table represent a function
Answer:
None repeating X on the table is a function, if it repeats than not a function.
Step-by-step explanation:
I am not able to see the table but if X has repeating points then it is not a function. If it repeats the Y point then that is ok.
Halla 2 enteros cuyo producto sea 210 y uno de los enteros debe ser uno menos que el doble del otro
Simplify.
7/8+(−2/3)
---------------
5/6
Enter your answer as fraction in simplest form by filling in the boxes.
Answer:
\(\frac{1}{4}\)
Step-by-step explanation:
\(\frac{7}{8} + \frac{-2}{3}\)= \(\frac{5}{24}\)
\(\frac{5}{24}\)÷\(\frac{5}{6}\)=\(\frac{30}{120}\)
\(\frac{30}{120}\)=\(\frac{1}{4}\)
Please give me Brainlest!
Simplify your answer as much as possible.
By using the substitution method, we will see that the value of y is 23.
How to solve the system of equations?Here we have a system of linear equations, the system is:
y - x = 11
x = 12
The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:
y - 12 = 11
Now we can solve this for y, we will get:
y = 11 + 12
y = 23
That is the value of y.
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