Answers
The original relation would be: [tex] x^{2} -2[/tex] with domain equal to the range of the given inverse and range equal to the domain of the given inverse.
The relation passes the vertical line test, so it will be a function. So the statement is true
Related Questions
the equation d=1/2n (n-3) gives the number of diagonals D for polygon with n sides. use this equation to find the number of sides n for a polygon that has 65 diagonals
Answers
1. You have that:
- The equation d=1/2(n(n-3)) gives the number of diagonals for the polygon.
- The polygon that has 65 diagonals..
2. When you clear n, you obtain:
d=n(n-3)/2
d=(n^2-3n)/2
2x65=n^2-3n
n^2-3n-130=0
3. When you solve the quadratic equation, you obtain:
n=13
Therefore, the answer is: 13 sides.
Answer: 13
Step-by-step explanation:
Given : The equation [tex]d=\dfrac{1}{2}n(n-3)[/tex] gives the number of diagonals d for polygon with n sides.
To find the number of sides n for a polygon that has 65 diagonals, we substitute the value of d= 65 in the given equation, we get
[tex]65=\dfrac{1}{2}n(n-3)[/tex]
Multiply 2 on both sides , we get
[tex]n(n-3)=130\\\\\Rightarrow\ n^2-3n-130=0\\\\\Rightarrow\ n^2-13n+10n-130=0\\\\\Rightarrow\ n(n-13)+10(n-13)=0\\\\\Rightarrow\ (n-13)(n+10)=0\\\\\Rightarrow\ n= -10\ or\ n= 13[/tex]
But number of sides cannot be negative, so the number of sides n for a polygon that has 65 diagonals = 13
In an isosceles trapezoid the length of a diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezoid.
Answers
area=median*height=20cm*15cm
=300cm^2
Answer:
300
Step-by-step explanation:
In a class of 147 students, 95 are taking math(m), 75 are taking science (s), 52 are taking both math and science. What is the probability of randomly choosing a student who is taking neither math nor science? Round your answer to the nearest tenth
Answers
Since the criteria wants you to exclude students that take math or science, add m and s together.
[tex]43 + 23 = 66[/tex]
This is the total amount of students that take math or science.
To find the probability of picking a student that doesn't take math or science, subtract 66 from the total amount of students.
[tex]95 - 66 = 29[/tex]
Take this amount and divide by the total amount of students again.
[tex] \frac{29}{95} = 0.3052[/tex]
Convert the decimal into a percentage.
[tex]0.3052 = 30.52[/tex] %
There is a 30.52% chance of picking a student that doesn't take math nor science.
Answer:
31/147
Step-by-step explanation:
good luck babes <3
A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 7 milliliters of compound B. If a chemist wants to make 684 milliliters of the drug, how many milliliters of compound A are needed?
Answers
So the ration between compound A and B will be:
A:B = 5:7
Total amount of drug = 684
Therefore, the amount of drug A needed will be:
[tex] \frac{5}{5+7}*684 \\ \\ = \frac{5}{12}*684 \\ \\ =285[/tex]
Therefore, out of 684 milliliters 285 would be the compound A and the rest would be compound B
Where 5 mm of A per 7mm of B. That should be the equation.
Given that the total mm is 684
A + B = 684
A = 5/7 * B
5/7 B + B = 684
B=400
A = 5/7 * 400 = 285mm
A = 285mm
A cat and a dog have a race. The cat’s strides are 30% shorter than the dog’s but it makes 30% more strides than the dog. Which of them will win the race?
Answers
https://brainly.com/question/9994969
Use the quadratic formula to solve the equation. If necessary, round answers to the nearest hundredth. 5x2 + 16x – 84 = 0
Answers
x + 6 = 0 or 5x - 14 = 0
x = -6 or 5x - 14 = 0
x = -6 or 5x = 14
Therefore, x = -6 or x = 14/5 (Two solutions found)
Good luck :)
Calculate the slope of a line that intersects points (6,2) and (-4,-3).
A. 1/2
B. 2/3
C. 4/5
D. 7/8
Answers
Difference in x: -4 - 6 = -10
slope = (difference in y)/(difference in x)
slope = (-5)/(-10) = 5/10 = 1/2
Answer: A. 1/2
The slope of the line passing through the points (6,2) and (-4,-3) is calculated using the slope formula (y2 - y1) / (x2 - x1), resulting in a slope of 1/2.
To calculate the slope of a line that intersects points (6,2) and (-4,-3), we use the slope formula, which is (change in y) / (change in x), or (y2 - y1) / (x2 - x1). Here, we consider point 1 to be (6,2) and point 2 to be (-4,-3).
Using the formula:
y2 = -3y1 = 2x2 = -4x1 = 6Substituting the values into the formula gives us the following calculation:
Slope = (-3 - 2) / (-4 - 6)
Slope = (-5) / (-10)
Slope = 1/2
Therefore, the correct answer is A. 1/2.
Explain what is a Fungi?
Answers
plz help ill give u brainlist
Answers
2:3
Let's represent it with n
5n = 50
n = 10
3 * 10 is 30
There are 30 white golf balls.
Below is the table of values of a function. Write the output when the input is
n
input 1 4 9 n
output 5 8 13 ?
What is the last output ?
Answers
Input: 1 4 9 9 + 7
Output: 1+4 4+4 9+4 9+7+4
Output: 5 8 13 20
Last output is 20
Answer:
n + 4
Or 20
Step-by-step explanation:
Depends on how you see it the answer could be n´+4 since that´s how the function is working, and almost all of the time the independent clauses are actually independent and do not follow any progression.
But if there is a progression in the input, we can see that they are adding up uneven numbers to the input, so first we added 3, then we added 5, and last we should add 7: so the input would be 7+9= 16, the input in the forth spot should be 17, and the output should be 20.
look across each row and down each column what pattern do you see
Answers
The blades on a wind turbine trace a circular path with radius 100 feet. Suppose the turbine spins at 20 revolutions per minute. What is the linear velocity, in miles per hour (1 mile equals 5,280 feet), of a point on the tip of a blade? Round the answer to the nearest tenth.
Answers
Angular velocity = w= 20 revolutions per minute = 20 x 2π radians per minute
Angular velocity = w = 40π radians per minute
Linear velocity = v = r w
So,
Linear velocity = v = 100 x 40π = 4000π feet per minute
v = 4000π x 60/5280 miles per hour
v = 142.8 miles per hour
Thus the Linear Velocity of the turbine will be 142.8 miles per hour
The linear velocity of a point on the tip of a blade on a wind turbine is approximately 0.05 miles per hour.
Explanation:To find the linear velocity of a point on the tip of a blade on a wind turbine, we need to convert the rotational speed to linear speed. The formula to do this is linear speed = radius × angular speed. In this case, the radius is 100 feet and the turbine spins at 20 revolutions per minute. First, we convert the revolutions per minute to radians per second by multiplying by 2π/60. Then, we multiply the angular speed by the radius to find the linear speed.
Angular speed = 20 revolutions per minute × 2π/60 = 20π/60 = π/3 radians per second
Linear velocity = 100 feet × π/3 = 100π/3 feet per second
Finally, to convert the linear velocity to miles per hour, we divide by 5280 (since 1 mile equals 5280 feet).
Linear velocity = (100π/3) / 5280 ≈ 0.05 miles per hour
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in the linear equation, y = 7x - 15, the y- intercept of the line is
Answers
If g(x)= 2x^4+3x^3-x^2, find g(-1)
Answers
Answer: x=0
Which of the following is equivalent to -6
A) 9-(-17)
B) 3*(-2)*(-1)
C) -2(4-1)
D) 4-16/-2
Answers
-2(4-1)
Distributing: (-8 +2) = -6
-2(4-1) put in a calculator that’s your answer
a strip of wood 78 inches long is to be cut into pieces of 3 and 3/4 inches long how many pieces can be cut
Answers
let's firstly convert the mixed fraction to "improper", and then divide,
[tex]\bf \stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}}\\\\ -------------------------------\\\\ \cfrac{\quad 78 \quad }{\frac{15}{4}}\implies \cfrac{\quad \frac{78}{1} \quad }{\frac{15}{4}}\implies \cfrac{78}{1}\cdot \cfrac{4}{15}\implies \cfrac{26}{1}\cdot \cfrac{4}{5}\implies \cfrac{104}{5}\implies 20\frac{4}{5}[/tex]
so, if we nevermind the 4/5 part, only 20 whole of those then.
hey can you please help me posted picture of question
Answers
From the given options, only the pair given in option B result in the composition equal to x.
[tex]F(x)= \frac{12}{x}-18 \\ \\ G(x)= \frac{12}{x+18} \\ \\ F(G(x))= \frac{12}{ \frac{12}{x+18} }-18 \\ \\ F(G(x))= \frac{12(x+18)}{12}-18 \\ \\ F(G(x))=x+18-18=x [/tex]
This proves, F(x) and G(x) are inverse of each other.
So the answer to this question is Option B
you have a bottle of water with a leak. after 2 second,there are 28 ounces left in the bottle. after 6 seconds, there are 20 ounces left in the bottle. how fast is the bottle losing water
Answers
The bottle is losing water at the rate of (8 oz)/(4 s) = 2 oz/s.
Answer:
rate of losing water = 8 ounce per 4 sec or 2 ounces per sec.
Step-by-step explanation:
Given : after 2 second,there are 28 ounces left in the bottle. after 6 seconds, there are 20 ounces left in the bottle.
To find : how fast is the bottle losing water.
Solution : WE have given that
After 2 second water left in bottle = 28 ounces.
After 6 second water left in bottle = 20 ounces.
We can see with in ( 6 - 2) ,4 second bottle lose their 8 ounce water.
Therefore, rate of losing water = 8 ounce per 4 sec or 2 ounces per sec.
Suppose that an open box is to be made from a square sheet of cardboard by cutting out squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 576 cubic inches, find the original dimensions of the sheet of cardboard.
Answers
NEED HELP ASAP ON GEOMETRY!! ONLY 3 QUESTIONS ATTACHED WITH PHOTOS. THANK YOU
Answers
Use Pythagorean theorem:
[tex]x^2=3.6^2+5.5^2\\\\x^2=12.96+30.25\\\\x^2=43.21\to x=\sqrt{43.21}\\\\\boxed{x\approx6.6}[/tex]
4.
Use Pythagorean theorem:
[tex]3^2+\left(\dfrac{x}{2}\right)^2=6.5^2\\\\9+\dfrac{x^2}{4}=42.25\ \ \ |-9\\\\\dfrac{x^2}{4}=33.25\ \ \ \ |\cdot4\\\\x^2=133\to x=\sqrt{133}\\\\\boxed{x\approx11.5}[/tex]
5.
[tex]\widehat{AB}\ \cong\ \widehat{DE}[/tex]
Anwar says that the shape below is a parallelogram. is he correct that a kite is a parallelogram explain
Answers
Opposite sides of a parallelogram must be equal and parallel. The opposite sides of a kit are neither. To make sure you understand, measure the upper left side and the lower right side. The upper left is shorter than the lower right (even though these sides are opposite one another).
It you extend the upper left line upward and do the same thing to the lower right, you will get two lines that meet. No parallelogram will do that.
5y^2 - 2y - 7 are (5y - 7) and ( )
Answers
5y^2 - 2y - 7=0
When you factor the quadratic equation, you obtain the following form of it:
(5y - 7)(y +1)=0
Therefore, as you can see the answer is: (5y - 7)(y +1)=0
You planted 488 acres of corn last season. you sold all your corn: 8,120 bushels in August and 64,100 bushels in September. what is your yield pet acre, rounded to the nearest bushel per acre
Answers
[total amount of bushels sold]/[area of the field]
Total amount sold=64100+8120=72220
area=488 acres
thus
72220/488
=147.992~148 bushels per acre
Answer:
There will be approx 148 bushels in per acre.
Step-by-step explanation:
You planted 488 acres of corn last season.
you sold all your corn: 8,120 bushels in August and 64,100 bushels in September.
Total bushels = [tex]8120+64100=72220[/tex]
Now, this amount of bushels were in 488 acres of land.
So, per acre will contain = [tex]72220/488=147.99[/tex]≈ 148 bushels
Hence, there will be approx 148 bushels in per acre.
Find a function that models the population after t years
Answers
[tex]f(0) = 270000\\
f(1) = 1.04f(0), \\
f(2) = 1.04f(1) = 1.04(1.04f(0)), \\
f(t) = 1.04f(t-1) = 1.04(1.04f(t-2)) ... = 1.04^{t}f(0) = 1.04^{t}*270000 [/tex]
b) [tex]f(2004-1998) = 1.04^{2004-1998} * 270000 = 341636[/tex]
c)
[tex]1.04^{x-1998} * 270000 \geq 534094 \\ x - 1998 \geq {ln( \frac{534094}{270000} )}/{ln(1.04)} x \geq 2015.4 x = 2016[/tex]
A shop sells 200 chocolate vanilla and strawberry ice creams 45% of the ice cream sold are vanilla and 30% are strawberry how many chocolate ice creams are sold
Answers
(1) Chocolate
(2) Vanilla
(3) Strawberry
There are three types of flavors.
45% of the ice creams are vanilla
30% of the ice creams are strawberry
x percent of the ice creams are chocolate
The total amount of ice creams is 200 that corresponds to 100%. Therefore:
45% + 30% + x = 100%
Solving for x:
x = 25%
Then the number of chocolate ice creams are:
[tex]25\%(200) = 50 [/tex]
Finally:
50 chocolate ice creams are sold
Final answer:
The answer explains how to calculate the number of chocolate ice creams sold in a situation where vanilla and strawberry ice creams are already accounted for.
Explanation:
The total number of ice creams sold is 200.
45% are vanilla ice creams. 45% of 200 is 90.
30% are strawberry ice creams. 30% of 200 is 60.
To find the number of chocolate ice creams sold:
Chocolate ice creams = Total ice creams - (Vanilla ice creams + Strawberry ice creams)
Chocolate ice creams = 200 - (90 + 60)
Chocolate ice creams = 200 - 150 = 50
Therefore, 50 chocolate ice creams are sold.
GETS BRAINLIEST AND 11 PTS
Hazel covered a box with felt. The dimensions of the box are shown in the figure below: A rectangular prism is shown. The length of the rectangular prism is labeled as 11 inches, the height is labeled as 6 inches, and the width is labeled as 8 inches. The felt costs 9¢ per square inch. She will only pay for the felt used to cover the box, even if there is waste or extra. How much money did Hazel spend on the felt? $18.18 $27.72 $36.36 $45.54
Answers
The surface area of a rectangular prism is:
A=2(xy+xz+yz), where x,y, and z are the dimenisions
We are told that she will spend .09 per in^2, x=11, y=6, and z=8 so we can say cost is:
C=2(9/100)(11*6+11*8+6*8)
C=(18/100)(66+88+48)
C=$36.36
Let P(2, 3) be a point on a figure. The figure is dilated by a scale factor of 4.
What are the coordinates of P′?
Write the ordered pair.
Answers
If (2,3) is a point and 4 is the scale factor, we need to multiply both x and y by 4 to dilate the figure. Doing this gives us (8,12).
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Write parametric equations of the line 2x-y=3
Answers
f(x) = y = ax + b
where a is the numerical coefficient of x and b is constant. Transforming the given equation to this form,
f(x) = y = 2x - 3
Answer: The required parametric equation is y=2t-3.
Step-by-step explanation:
Since we have given that
2x+-y=3
We need to rewrite in parametric equation:
The parametric equation is written as
[tex]f(x)=y=at+b[/tex]
So, Arranging the given equation in the above equation, we get
[tex]2x-y=3\\\\2x-3=y\\\\f(x)=y=2x-3[/tex]
And then put x = t, to get the exact parametric form.
Hence, the required parametric equation is y=2t-3.
what is the poorest country in the world
Answers
Its economic basically is dependent on diamonds export, the most of the diamonds is soled on the 'black' market, which allow to pass the taxes of government...
The poorest countries in the world are primarily in Africa and Asia, according to the World Bank's 2020 report. These countries struggle with governance issues, economic struggles, conflict, and other socio-economic problems, inhibiting their growth. The Democratic Republic of Congo, despite its wealth in resources, significantly exemplifies this due to political instability.
Explanation:According to the World Bank rankings, many of the poorest countries globally share common traits such as governance failures, economic struggles, and conflicts. These factors, among others, inhibit economic growth and improvement across sectors such as healthcare, education, and infrastructure.
As detailed in the World Bank's 2020 report, the ten lowest income countries include nations primarily located in Africa and Asia. Due to various socioeconomic issues, these countries have low gross national income (GNI) per capita, with notable examples including Afghanistan, Ethiopia, and Zimbabwe.
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The standard guidelines for fluid intake recommend that a 10dash20-kg child should have 1000 mL of fluid plus 50 mL for each full kilogram of body weight over 10 kg per day. How many 8-ounce glasses of fluid should a 43-pound child have each day? The 43-pound child should drink about nothing 8-ounce glasses of fluid each day.
Answers
1 ounce contains 29.57 mL of fluid, thus an 8-ounce glass contains 8(29.57) = 236.56 mL of fluid.
1 pound is equivalent to 0.45 kg, thus, 43 pound is equivalent to 43(0.45) = 19.35 kg
Thus, the standard guidelines for fluid intake recommend for a 43 pounds (19.35 kg) child is given by 1000 + 9(50) = 1000 + 450 = 1450 mL of fluid per day.
Therefore, the number of 8-ounce glasses a 43 pound child should have is given by:
[tex] \frac{1450}{236.56} =6.13\approx6\ glasses[/tex]