Answer:
2 and 7.3
Step-by-step explanation:
[tex]P=2x+2y=18.6[/tex]
[tex]2x=18.6-2y\\x=9.3-y[/tex]
We'll replace x with (9.3-y)
[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]
Now we solve this equation by sum and product:
[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]
Replacing back in the Perimeter equation:
[tex]2x+2y=18.6[/tex]
if y=7.3
[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]
if y=2
[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]
So, the dimensions are 2 and 7.3 km
Select the table representing a linear function. (Graph them if necessary.)
Check the picture below.
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
f(-3)= 1
f(1)= -1
If f(x)= -2 then x = 3
If f(x) = 2 then x = -5
Step-by-step explanation:
f(x) can be replaced with any number. It just means y. For example, let's replace the (x,y) with the (-5,2). For this point, this is f(-5) = 2. When they ask for f(x), they are just asking what y is with a given coordinate x. So when they ask what f(-3) is, they are asking what y is with -3 being the x coordinate.
So, f(-3) = 1
f(1) = -1
For these questions:
If f(x) = -2 then x = ?
If f(x) = 2 then x = ?
They are asking what x is when y is -2 or 2. So here:
If f(x) = -2 then x = 3
If f(x) = 2 then x = -5
How many 1/4s are in 1 1/2
The average price of an item is $42 with a standard deviation of $3
Find a 98% confidence interval about the mean (one decimal place).
Is a value of X=48 unusually high or is it normal? Choose correct explanation!
Step-by-step explanation:
standard deviation of $3
Find a 98% confidence interval about the mean (one decimal place).
Is a value of X=48 unusually high or is it normal? Choose correct explanation
Eyjafjallajokull is a volcano in Iceland. In a recent eruption, a projectile is ejected with an initial velocity of 304 feet per second. The height, H, in feet is given by the equation: H=-16t^2+304t Where t is the time in seconds. We will use the equation that traces the path of the projective to determine the following information: 1) The time it takes the projective to reach its highest point. (t=?) 2) The maximum height? (H=?) 3) The time it takes the projectile to return to the ground? (t=?)
Answer:
A volcano ejected with an initial velocity of 304 feet per second.
The height in feet is given by the equation H=-16t^2+ 304t where t is the time in seconds.
We will use the equation that traces the path of the projectile to determine the following information:
1) The time it takes the projectile to reach its maximum height (using the vertex formula: t=-b/2a)
The equation; H = -16t^2 + 304t, a=-16; b=304
t = -304/2°(-16)
t = 9.5 sec to reach max height
2) The maximum height of the projectile (use the result from part 1 to find the maximum height of the projectile)
t = 9.5
H = -16(9.5^2) + 304(9.5)
h = = -1444 + 2888
h = 1444 ft is the max height
3) Find the time it takes the projectile to return to the ground. Assume that the projectile starts at height H=0.
-16t^2 + 304t = 0
factor out -16t
-16t(t - 19) = 0
t = 19 sec to reach the ground
Step-by-step explanation:
Find the missing number so that the equation has infinitely many solutions.
4(4x - 14) - 14x +
-2(-x + 19)
Answer:
18
Step-by-step explanation:
Maybe you want to fill in the blank so this is true for all x:
4(4x -14) -14x + ___ = -2(-x +19)
Simplifying, we get ...
16x -14x -56 + ___ = 2x -38
Adding 56-2x to both sides leaves ...
___ = 18
The missing number is 18.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
[tex]I(-1,0) \to I \ ' \ (-0.25,0)\\\\J(-1,1) \to J \ ' \ (-0.25,0.25)\\\\K(2,2) \to K \ ' \ (0.5, 0.5)\\\\L(2,-1) \to L \ ' \ (0.5,-0.25)\\\\[/tex]
======================================================
Explanation:
The fraction 1/4 is equivalent to the decimal form 0.25
We multiply 0.25 with each coordinate, of each point.
For example, let's focus on point L which is at (2,-1)
x = 2 becomes x = 0.25*2 = 0.5y = -1 becomes y = 0.25*(-1) = -0.25Point L(2,-1) moves to L ' (0.5, -0.25) which will move it closer to the origin, which shrinks the image. Use this idea for the remaining points.
Note: this trick only works if the center of dilation is the origin.
23x25 = please help
Answer:
575
Step-by-step explanation:
23/4 = 5.75 times 100
Answer:
575
Step-by-step explanation:
23×25=575 so 575 would be your answer
solve for x??????????
Answer:
x=4
Step-by-step explanation:
you take both equations, and make them equal to each other. so....
5x-6=3x+2 subtract 3x from both sides
2x-6=2 then add 6 to the other side.
2x=8 then divide 8 by 2.
X=8
[tex]dx x-2secx[/tex]
Answer:
x + 2tan X . sec X / X
Step-by-step explanation:
The derivatives of trigonometric functions is as follows
* d/dx (sin x) = cos x
* d/dx (cos x) = - sin X
* d/dx (tan x) = sec ^2 X
* d/dx (Cot x) = -cosec^2 X
* d/dx (sec x) = tan x . sec x
* d/dx (cosec x) = -cot x . cosec x
and so the derivative of sec is tanx . sec x
d/dx x - sec x
the derivative of variables is considered 1.
since we remove 1 from their exponent they'll have 0 as their exponent which can only mean the end value is 1.
so d/dx of X is = 1
d/dx od -sec X is = -tan X . Sec X based on the general derivative properties above.
in conclusion the final answer is = x + 2tan X . sec X / X
Use the shell method to find the volume of the solid obtained by rotating the region bounded by the curves y=4x-2 and y=x^2+1 about the y-axis. Simplify your solution.
The volume of the solid of revolution is [tex]\frac{16\pi}{3}[/tex] cubic units.
First, we determine the limits between the two curves. ([tex]f(x) = 4\cdot x -2[/tex], [tex]g(x) = x^{2}+1[/tex])
[tex]f(x) = g(x)[/tex] (1)
[tex]4\cdot x - 2 = x^{2}+1[/tex]
[tex]x^{2}-4\cdot x +3 = 0[/tex]
[tex](x-1)\cdot (x-3) = 0[/tex]
The lower and upper bounds are 1 and 3, respectively. It is to notice that [tex]f(x) > g(x)[/tex] for [tex]x \in (1, 3)[/tex]. Thus, we determine the volume of the solid of revolution by shell method, that is to say:
[tex]V = 2\pi \int\limits^a_b {x\cdot |f(x) - g(x) |} \, dx[/tex] (2)
If we know that [tex]a = 3[/tex], [tex]b = 1[/tex], [tex]f(x) = 4\cdot x - 2[/tex] and [tex]g(x) = x^{2}+1[/tex], then the volume of the solid of revolution is:
[tex]V = 2\pi \int\limits^3_1 {|4\cdot x^{2}-2\cdot x -x^{3}-x|} \, dx[/tex]
[tex]V = 2\pi\int\limits^3_1 {(4\cdot x^{2}-x^{3}-3\cdot x)} \, dx[/tex]
[tex]V = 8\pi \int\limits^3_1 {x^{2}} \, dx - 2\pi \int\limits^3_1 {x^{3}} \, dx -6\pi \int\limits^3_1 {x} \, dx[/tex]
[tex]V = 8\pi\cdot \left(\frac{3^{3}}{3}-\frac{1^{3}}{3} \right)-2\pi \cdot \left(\frac{3^{4}}{4}-\frac{1^{4}}{4} \right) - 6\pi\cdot \left(\frac{3^{2}}{2}-\frac{1^{2}}{2} \right)[/tex]
[tex]V = \frac{208\pi}{3} - 40\pi -24\pi[/tex]
[tex]V = \frac{16\pi}{3}[/tex]
The volume of the solid of revolution is [tex]\frac{16\pi}{3}[/tex] cubic units.
To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504
please help me with this math problem please I need help
is 1.25 because you just add them together
1. 2h−3(3−h)+ _=5h−8
Make equation have infinite solution
2. −k+_(k+1)=2k
make equation have no solution
Answer:
HOPE THAT HELPS BUT I DO NOT HAVE ANSWER
Step-by-step explanation:
3×2k=????
3×5=??
6×k=??
6×4=??
then put all those together in a 2 step equation and then add 9 to the answer
If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.
**WILL GIVE BRAINLIEST IF ANSWERED RIGHT** (this is not math but i just put it as math)
Choose all the answers that apply.
Which are benefits of cardiovascular exercise?
decreases the resting heart rate
helps the blood vessels dilate more easily
decreases the stroke volume
weakens the muscles surrounding the lungs
makes the lungs able to fill more completely
Answer:
Makes the lungs able to fill more
(2 pts.) 9.) Find two equivalent expressions to tan 20° using the cotangent function in degrees.
tan (u) = a/b = cot (90° – u)
Let u = 20°
Take it from here.
The equivalent value of the expression is tan20 is a cot(70).
What are trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The area of mathematics is concerned with how triangles' sides and angles relate to one another as well as with the pertinent uses of any angle.
Given that the trigonometric expression is tan30. The equivalent expression will be written as,
tan (u) = a/b = cot (90° – u)
tan (20) = cot ( 90 - 20 )
tan 20 = cot 70
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Summer Earnings
Hours worked Earnings in dollars
3
4
48
6
72
10
120
20
240
Which statements are true about the data in this table? Select all that apply.
The rate of change for the data is $12 per hour. $12 is also the constant of proportionality
If you graph the data, it would pass through the origin (0,0)
The data represent a direct variation and can be modeled by the function rule y = 12.
The data indicate a rate that is not constant
The rate of change for the data is $24 per hour. The data representa direct variation and can be modeled by the function ruley-242
The table is an illustration of a proportional relationship. and can be modeled by the function rule y = 12x
The entries of the table is given as:
Hours Earnings
4 48
6 72
10 120
20 240
Start by calculating the rate (m) of the function
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{72 - 48}{6-4}[/tex]
[tex]m = \frac{24}{2}[/tex]
[tex]m = 12[/tex]
The equation of the table is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 12(x - 4) + 48[/tex]
[tex]y = 12x - 48 + 48[/tex]
[tex]y = 12x[/tex]
[tex]y = 12x[/tex] means that, the following statements are true:
The rate of change for the data is $12 per hour. $12 is also the constant of proportionalityIf you graph the data, it would pass through the origin (0,0) The data represent a direct variation and can be modeled by the function rule y = 12xRead more about proportional equations at:
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This one is the one I need help on plz
Answer:
p=5/2 q=3/4
Step-by-step explanation:
-4p+7q=-19/4
-12p+35q=-15/4
get rid of the value p
(-3)(-4p+7q=-19/4)
-12p+35q=-15/4 =
12p-21q=57/4
-12p+35q=-15/4 =
14q=21/2
q= 21/2 /14
q=3/4
substitute q=3/4 into an equation 1 to find p
-4p+7q=-19/4
-4p+7(3/4)=-19/4
-4p+21/4=-19/4
-4p=-19/4-21/4
-4p=-10
p=-10/-4
p=5/2
f(x)=3x-1 and g(x)=-2x+5
Answer:
Step-by-step explanation:
Q.
A circle has a radius of 21 cm. Then determine the area!
EASY
Hello there! :-)
The formula for finding the area of a circle is
[tex]A=\pi r^{2}[/tex]Notice that only the radius is squared.
We are given the radius of the circle: 21 cm.
We plug the value of r into the formula:
A=π(21)²A=π(441)A=1,385 cmHope this helps. Use the comment section to clarify your doubts.
Answered by
~A teen whose hobby is helping people with their homework
#LetItSnow
Good luck.
Answer:
A=1.386 cm²
Step-by-step explanation:
[tex]\sf\bf A = \pi \times r \times r[/tex]
[tex]\sf\bf = \frac{22}{7} \times 21 \times 21[/tex]
[tex]\sf\bf = \frac{22}{\cancel{7}} \times \cancel{21} \times 21[/tex]
[tex]\sf\bf = 22 \times 3 \times 21[/tex]
[tex]\sf\bf = 66 \times 21[/tex]
[tex]\sf\bf = 1.386 \: {cm}^{2}[/tex]
what is the slope of the line?
Answer:
1/2
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
We have two points on the line
(-1,3) and ( 1,4)
m = ( 4-3)/(1 - -1)
= (4-3)/(1+1)
= 1/2
Answer:
Start where the line meets a point. Then go up and over until it meets another.
The answer is 1/2
So go up one and over two. Then other problems such as this one should be pretty straight forward
use order of operations 7-2(-7-4)
Answer:
29
hope this helps
What is the product of 10 x 10 x 10, using an exponent?
Answer:
10^3
Step-by-step explanation:
Answer:
10³
Step-by-step explanation:
10 × 10 × 10 = 10³
3/4+x=2x−x+_
Make equation have infinite solutions in the blank
Answer:
3/4
Step-by-step explanation:
3/4+x=2x−x+_
2x-x is x
So the equation is now
3/4+x=x+_
So to have infinite solutions, we will have to get both of the sides the same value
Since there is already an x on both sides we don't have to worry about it
Now there isn't a 3/4 on one side so we can just add that to the blank side, thus creating an infinite solution equation
Hope this helps!
Determine if the two triangle are congruent. If they are state how you know
Answer:
aas
Step-by-step explanation:
angle angle and the middle is side
Plz answer and explain. And no link please! It is appreciated.
Answer:
I think option a k.9
is correct
Two rectangles are similar. The first has a length of 5cm and a width of 2cm. The second rectangle is an enlargement using a scale factor of 3. What will be the perimeter of the larger rectangle??
Group of answer choices
30 cm
4.666666667 cm
42 cm
21 cm
Answer:
C.) 42 cm
Step-by-step explanation:
When you enlarge the rectangle by a scale of 3, you are multiplying its perimeter by 3
2*2+5*2=4+10=14
14*3=42
Kaela wants to join a fitness club. Club A charges a $35 joining fee, plus $19 per month. Club B charges a $28 joining fee, plus $23 per month. Kaela wrote the expressions below to figure out how much each club would cost for x months.
Club A: 35+19x
Club B: 28+23x
Which expression can be used to determine how much more money Club A will cost than Club B after x months?
A....... 7−4x7 - 4 x
B...... 7+4x7 + 4 x
C..... 63+42x63 + 42 x
D.... −7+4x
Will give brainliest.
The expression can be used to determine how much more money Club A will cost than Club B after x months is 7 - 4x
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the total cost for x months.
Club A charges a $35 joining fee, plus $19 per month. hence:
y = 19x + 35
Club B charges a $28 joining fee, plus $23 per month. hence:
y = 23x + 28
Club A will cost than Club B:
19x + 35 - (23x + 28)
= 7 - 4x
The expression can be used to determine how much more money Club A will cost than Club B after x months is 7 - 4x
Find out more on linear equation at: https://brainly.com/question/14323743
Help me with this question
Answer:
LETS
GO
BRANDON
Step-by-step explanation:
What is the probability that a random sample of n=45 oil changes results in a sample mean time less than 20 minutes?
Step-by-step explanation:
https://youtu.be/wghLO8hQZrA
watch this video to get the answer and knowledge about this video to get the answer and knowledge about this video to get the answer and knowledge about this video to get the answer and knowledge about this video to get the answer and knowledge about
help me plssssssssssssssssssssssssssssssss
Answer:
With what?
Step-by-step explanation:
Ask the question in the comments sections and I'll try to help you if I know the answer :)