Answer:
[tex]5.5*10^{-4}=\frac{11}{20000}=.00055[/tex]
Step-by-step explanation:
[tex]550/1000000=55/100000[/tex] | Take one 0 from each side of the divider
Now that it's simplified, we can more easily solve the problem:
[tex]55/100000=5.5*10^{-4}[/tex]
We can also write this as a fraction or a decimal:
[tex]5.5*10^{-4}=\frac{11}{20000}=.00055[/tex]
Evaluate the expression for u = –8. Simplify your answer. –8 u
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Answer:
64
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
-8u = -8(-8) = 64
What is 8(9h - 6) simplifyed
plz answer i need this B
Answer:
Option CStep-by-step explanation:
The data in the table shows quantity increase with the price increase and we want to analyze the relationship between price and quantity.
The data indicates a positive slope if we keep price on x-axis and quantity on y- axis.
Option C is reflecting this and correctly highlighted.
Answer:
Option C
Step-by-step explanation:
Because as we can see y is increasing with respect to x
So the slope is positive
The line should go up rightwards
Hence option C is correct
How do you get 2.5 out of 20/8
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Explanation:
If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.
__
[tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]
We assume that you know dividing by 10 moves the decimal point one place left.
2. The equation of a circle is x2 + y2 – 4x + 6y – 77 = 0.
a) Find the x-coordinates of the points A and B where the circle intersects the x-axis.
b) Find point of intersection of the tangents to the circle at A and B.
a) The x-coordinates of the points A and B are [tex]x_{A} = 11[/tex] and [tex]x_{B} = -7[/tex].
b) The point of intersection of the tangents to the circle at A and B is [tex](x,y) = (2, 27)[/tex].
a) In this part we simplify the equation of the circle and solve for [tex]x[/tex] to determine the coordinates associated to the required points:
The coordinates of the two points so that circle intersects the x-axis, occurs when the following condition is met:
[tex]f(x, 0) = 0[/tex] (1)
Where [tex]f(x,y)[/tex] is in implicit form.
If we know that the equation of the circle is [tex]x^{2} + y^{2} - 4\cdot x + 6\cdot y - 77 = 0[/tex] and [tex]y = 0[/tex], then the reduced equation is:
[tex]x^{2} - 4\cdot x - 77 = 0[/tex] (2)
And we obtain the x-coordinates of the points by factoring (2):
[tex](x-11) \cdot (x + 7) = 0[/tex]
The x-coordinates of the points A and B are [tex]x_{A} = 11[/tex] and [tex]x_{B} = -7[/tex].
b) Lines are defined by both slope and intercept. Slope is defined by implicit differentiation and intercept is found by equation of the line.
Given that [tex]A(x,y) = (11, 0)[/tex] and [tex]B(x,y) = (-7, 0)[/tex], we determine line equations corresponding to each tangent line:
Slope
[tex]2\cdot x + 2\cdot y \cdot \dot y - 4 + 6\cdot \dot y = 0[/tex]
[tex](2\cdot y + 6)\cdot \dot y = 4 - 2\cdot x[/tex]
[tex]\dot y = \frac{2 - x}{y + 3}[/tex]
Point A
[tex]\dot y = \frac{2-11}{0 + 3}[/tex]
[tex]\dot y = -3[/tex]
Point B
[tex]\dot y = \frac{2-(-7)}{0 + 3}[/tex]
[tex]\dot y = 3[/tex]
Intercept
Point A ([tex]A(x,y) = (11, 0)[/tex], [tex]\dot y = -3[/tex])
[tex]b = y - m\cdot x[/tex]
[tex]b = 0 - (-3)\cdot (11)[/tex]
[tex]b = 33[/tex]
Point B ([tex]B(x,y) = (-7, 0)[/tex], [tex]\dot y = 3[/tex])
[tex]b = y - m\cdot x[/tex]
[tex]b = 0 - 3\cdot (-7)[/tex]
[tex]b = 21[/tex]
The equations of the lines tangent to the circle are:
[tex]y = -3\cdot x +33[/tex] (3)
[tex]y = 3\cdot x +21[/tex] (4)
The point of intersection is the solution of this system of linear equations:
[tex](x,y) = (2, 27)[/tex]
The point of intersection of the tangents to the circle at A and B is [tex](x,y) = (2, 27)[/tex].
We kindly invite you to see this question on circles: https://brainly.com/question/23988015
A population of rabbits at time t increases at a rate of 40-12t+3t^2 rabbits per year where t is measured in years. Find the population after eight years if there are 10 rabbits at t=0?
We have to find derivative of t
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-12t+4[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-\dfrac{d}{dx}12t+\dfrac{d}{dx}40[/tex]
[tex]\\ \sf\longmapsto 6t-12[/tex]
Now
t=8..[tex]\\ \sf\longmapsto 6(8)-12[/tex]
[tex]\\ \sf\longmapsto 48-12[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
A farmer sold 53.2 pounds of carrots and 29.4 pounds of aspargus to a restaurant. How many pounds of these two vegetables did the restaurant buy?
Answer:
82.6
Step-by-step explanation:
First you add 53 and 29 which equals 82 then you do 4 plus 2 which equals 6 and so the answer is 82.6
express 8% as a decimal fraction
Hello :D
The answer is 0.08
I hope this helps :)
The relative frequency table below displays the proportion of 40 residents in an apartment complex who prefer certain social media sites.
Upstart, 0.10; Aster, 0.25; Babble, 0.35; Techy, 0.30.
Which of the following is the corresponding frequency table?
Upstart, 10; Aster, 25; Babble, 35; Techy, 30.
Upstart, 8; Aster, 12; Babble, 10; Techy, 10.
Upstart, 4; Aster, 14; Babble, 10; Techy, 12.
Upstart, 4; Aster, 10; Babble, 14; Techy, 12.
Answer:
D
Step-by-step explanation:
multiply each number by 40
ex:
.10x40=40
Answer:d
Step-by-step explanation:
the postage to mail a letter that weighs 0.4 o will cost $_? (type an integer or a decimal)
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Answer:
$0.42
Step-by-step explanation:
Look at the function definition to see which part applies when x = 0.4. It will be the first part, which is defined for 0 < x < 1. That part tells you the postage for 0.4 oz is $0.42.
D.
Question 1
1 pts
Write the equation of a line through (3,1), parallel to y= 2+1
Oy=-=-1
Oy=-=-
Oy=-=-
Oy=-1
Answer:
last one
Step-by-step explanation:
What is the next term in the geometric sequence? 1,4,-16,64
Answer:
256
Step-by-step explanation:
1,4,16,64,256
As 4 is being multiplied in each case.
Look at the attached image. I need help!!!
Answer:
$9
Step-by-step explanation:
5 x 9 = $45
Or
9+9+9+9+9
Answer:
$9
Step-by-step explanation:
45 ÷ 5 = 9
hope this helps
15/45 turned into a decimal
15/16 turned into a decimal
1/8 turned into a decimal
.875 turned into a fraction
.4375 turned into a fraction
.625 turned into a fraction
.03 turned into a fraction
40% turned into a fraction
Answer:
0.33333333
0.9375
0.125
7/8
7/16
5/8
3/100
4/10 or 40/100
Step-by-step explanation:
Will give brainliest!
Answer:
the area!!!
Step-by-step explanation:
2(a+b)h
to find b you have to know the base of the triangle. you may use pythagoras' theorem for that. you will then get 5ft as the base.
5ft + 48ft = 53ft.
put in the formula, the area is then
2(48+53)*13
am not with a calculator.... so sort it out....
I think you can get the rest with this...
someone plz help radius is 1.5 ft
Answer:
Area =
[tex]\pi {r}^{2} [/tex]
=3.14×1.5^2
=3.14×2.25
=7.065
Hence the area of circle is 7.065.
6 + [-25 = (-3 + 2. 1)]
Answer:
6+[25=(-0.9)]
6+[-22.5]
-16.5
Step-by-step explanation:
the answe of this question will be -16.5
Jessica, an experienced bungee jumper, leaps from a tall bridge and falls toward the river below. The bridge is 200 feet above the water and Jessica's bungee cord is 130
feet long unstretched. When will Jessica's cord begin to stretch? Round your answer to two decimal places
Answer:
70 feet above the water will it begin to stretch.
Step-by-step explanation:
200 - 130 = 70
Answer the question please
To find the perimeter of a rectangle, you add up 2 times the length and 2 times the width. Here's the expression: [tex]2l+2w[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]2l+2w=99.4[/tex]. [tex]22*2=44. \\27.7*2=55.4[/tex].
Area:To find the area of a rectangle, you multiply the length by the width. Here's the expression: [tex]lw[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]22*27.7=609.4[/tex].
Side note:
It doesn't matter what l or w equal because There's a property in addition that says it doesn't matter which order the values go in. There's also a property in multiplication that it doesn't matter which order the values go in (same as addition).
a window is 9ft long. It is x feet longer than it is high. What is the height of the window.
The height of the window is 9-x feet.
Given that, a window is 9 ft long. It is x feet longer than it is high.
We need to find what is the height of the window.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Here, the length of the window = 9 ft
Then, the height of the window = x feet smaller than the length = 9-x feet
Therefore, the height of the window is 9-x feet.
To learn more about an expression visit:
https://brainly.com/question/28170201.
#SPJ2
Geometry. Need help on how to solve G and H
Answer:
G) tan 60 = opp / adj = 30 / x
which equals
1.7321 = 30 / x
x = 30 / 1.7321
x = 17.3200161653
H) secant = hyp / adj
secant 30 = 16 / x
1.1547 = 16 / x
x = 16 / 1.1547
x = 13.8564
Here's a good site for trig functions : http://www.1728.org/trigcalc.htm
Step-by-step explanation:
Find an ordered pair (x, y) that is a solution to the equation. 4x-y=4 (x, y) = 00 X Х ?
4. A model of the Elffel Tower that was
purchased in a gift shop is 30 -
inches tall. The actual height of the
Elffel Tower is 1000 feet, or 12,000
inches. What scale factor was used to
make the model?
Answer:
400
Step-by-step explanation:
To find the scale factor, you need to find out how much the initial value was multiplied by to get the new value. To do that, you need to divide the new value by the initial value. Make sure the units are the same; don't divide 1000 feet by 30 inches!
[tex]\frac{new}{initial} = \frac{12000}{30}=400[/tex]
Hope this helps!
I’m stuck on this question if someone could help me I would highly appreciate:)
Answer:
CA=20
SEE THE IMAGE FOR SOLUTION
2. An investment firm purchases a $65,000 CD from a bank at 2%. How much is the investment worth
(rounded to the nearest cent) at the end of 4 years if interest is compounded quarterly?
Answer:
$70.399.62
Step-by-step explanation:
To find the final amount, we have to use the compound interest formula
A = P(1 + r/n)ⁿˣ
A = Final amount
P = Starting amount (65,000)
r = rate (0.02)
n = time applied (4 since it's quarterly, meaning 4 times every year)
x = years (4)
Our equation will look like this
A = 65,000(1 + 0.02/4)¹⁶
You should use a calculator to plug to solve 65,000(1 + 0.02/4)¹⁶
A = 70,399.62483294155
10. The product of two integers is -18. The difference between the integers is 9. The sum of the
integers are 3. What are the two integers?
Answer:
x = 6
y = - 3
Step-by-step explanation:
x * y = - 18
x - y = 9. 3-y-y = 9. 3 -2y = 9.
-2y = 9-3
y = 6/-2
y = -3
x + y = 3. x = 3-y
x * -3 = - 18
x = -18/-3
x = 6
-31+(-42)=
38+(-43)=
Answer:
-31+(-42)= -31-42 = -73
38+(-43)= 38-43 = -5
(-) - (-) = +
(-)+(-) = +
(-)+(+) = -
Solve the following system of equations, using any method. Express your answers in one decimal place.
Answers:
x = 0y = 6.9The value of x is exact. The y value is approximate.
==================================================
Explanation:
Let's subtract the equations straight down.
The x terms subtract to -22x since 9x-31x = 22xThe y terms go away because 7y-7y = 0The terms on the right hand side subtract to 0After doing those three sets of subtractions, we have the new equation -22x = 0. This solves to x = 0 after dividing both sides by -22.
Plug this x value into any of the two original equations to solve for y
9x + 7y = 48
9(0) + 7y = 48
7y = 48
y = 48/7
y = 6.857 approximately
y = 6.9
Simplify the expression. 10 (n^2+ n) - 6 (n^2 - 2)
please mark this answer as brainlist
20 points help quick
Answer:
6s-36 is the answer . Hope this helps you.
Answer:
6(x-6) = 6x-36
Step-by-step explanation:
