Answer:
Yes because 59 is a whole number
Step-by-step explanation:
hope this helps
brainliest pls? :D
Answer:
Yes
Step-by-step explanation:
59 is an integer because it is a whole number and not a fraction.
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
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:
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
Which is bigger? 1/2 or 0.8?
Evaluate the expression for u = –8. Simplify your answer. –8 u
9514 1404 393
Answer:
64
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
-8u = -8(-8) = 64
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...
ASAP!!!!!
Analysis: For the given system, tell which equation you would first use to solve for a variable in the first step
of the substitution method. Explain your choice.
2.5x – 7y = 7.5
6.2 - y = 1
evaluate 7m + 3mn when m=8 and n=14
Answer:
392
Step-by-step explanation:
7(8) + 3(8)(14)
56 + 336
=392
*Brackets mean to multiply.
Choose the best answer. If necessary, use the paper you were given.
Question
Joanna wants to tile a square floor that measures 8 feet on one side. If each tile is a 6-inch square, how
many tiles will she need for the floor?
O 64 tiles
O 192 tiles
O 256 tiles
O 324 tiles
The number of tiles needed to cover the floor is 256 tiles.
The given parameter:
the length of a side of the floor = 8 feet
the length of a side of the tile, = 6-inches
To find:
how many tiles she will need for the floorConvert the unit of the floor to inches
1 ft = 12 inches
8 ft = (8 x 12) = 96 inches
The area of the floor = 96 in x 96 in
The area of the floor = 9216 in²
The area of a tile = 6 in x 6 in
The area of a tile = 36 in²
The number of tiles needed to cover the floor:
[tex]number \ of \ tiles = \frac{Area \ of \ floor}{Area \ of \ a\ tile} = \frac{9216}{36} = 256 \ tiles[/tex]
Thus, the number of tiles needed to cover the floor is 256 tiles.
Learn more here: https://brainly.com/question/17182640
Simplify the expression. 10 (n^2+ n) - 6 (n^2 - 2)
please mark this answer as brainlist
Please answer!!! 25 points! I give brainliest!!!!!!!!!
Answer:
2x3xX you solve this with 1 linear 2 nonlinear 3 nonlinear 4linear 5linear 6 nonlinear
Step-by-step explanation:
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
Which of the following points lies on the line with the equation Y=4X-2?
Answer:
(4, 14) is on the given line
Step-by-step explanation:
We can use the points given in the answer choices to see if the point is on the line. If both sides are equal, then it is.
Option 1:
16 = 4(4) - 2
16 = 16 - 2
16 = 14
FALSE
Option 2:
13 = 4(4) - 2
13 = 16 - 2
13 = 14
FALSE
Option 3:
14 = 4(4) - 2
14 = 16 - 2
14 = 14
TRUE
Option 4:
10 = 4(4) - 2
10 = 16 - 2
10 = 14
FALSE
Best of Luck!
Please help i d k if its -128 or -1/128
Answer:
[tex] \frac{ {y}^{ - 5} }{x {}^{ - 3} } \\ [/tex]
when x is 2, y is -4
[tex] = \frac{ {( - 4)}^{5} }{ {2}^{ - 3} } \\ \\ = - 1024 \times {2}^{3} \\ = - 1024 \times 8 \\ = - 8192[/tex]
None of the objectives is right
A baby elephant that is 4 ft tall casts a
shadow that is 6 ft long. Find the length
of the shadow that a 6 ft lawn ornament
casts.
The cost of parking in a parking garage in Chicago is represented by the equation
y x = + 15 20 where y is the total cost (in dollars) and x is the time (in hours). The table
shows the total cost to park in a parking garage in Denver. Which city’s parking garage
charges more per hour and by how much more? After how many hours would parking in
Both cities cost the same?
Hours, x 2 3 4 5
Cost, y 43 51 59 67
Answer:
ok
Step-by-step explanation:
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
which of the following is NOT a way to decompose 5/6? a. 1/6+1/6+1/6+1/6+1/6. . 2/6+3/6. c. 2/6+1/6+1/6. d. 1/6+4/6
Answer:
The answer is C
Step-by-step explanation:
Just add the top numbers and keep the bottom number.
a:1/6+1/6+1/6+1/6+1/6=5/6.
b:2/6+3/6=5/6
d:1/6+4/6=5/6
c:2/6+1/6+1/6=4/6
C does not equal 5/6.
I hope this helped!
Answer:
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give, never gonna give
(Give you up)
Step-by-step explanation:
i need help with this pls
Spherical tank is given by:
V = /pi*h^2((3*r)-h)/3
where h is the height of the oil, and r is the radius of the tank.
If the volume of the oil is V = 4m^3 and the radius of the tank r = 3m, then use the Newton's method to find the next estimate of the height with an initial guess of h = 0.3m
perform only one iteration.
Using the Newton method, the next estimate of the height after one iteration is: h = 0.1474m.
-----------------------------------
The Newton's method to find a solution [tex]x[/tex] of a function [tex]f(x)[/tex] is given by:
[tex]x_{n+1} = x_n - \frac{f(x_n)}{f^{\prime}(x_n)}[/tex]
In which n+1 is the next iteration.
-----------------------------------
In the context of this problem, the height is:
[tex]h_{n+1} = h_n - \frac{V(h_n)}{V^{\prime}(h_n)}[/tex]
Thus, for the first iteration:
[tex]h_1 = h_0 - \frac{V(h_0)}{V^{\prime}(h_0)}[/tex]
-----------------------------------
The function, and its derivative, are:
[tex]V(h) = \frac{3r \pi h^2 - \pi h^3}{3}[/tex]
The radius is [tex]r = 3[/tex], thus:
[tex]V(h) = \frac{9\pi h^2 - \pi h^3}{3}[/tex]
[tex]V^{\prime}(h) = \frac{18\pi h - 3\pi h^2}{3}[/tex]
Simplifying by 3:
[tex]V^{\prime}(h) = \pi(6h - h^2)[/tex]
-----------------------------------
The initial estimate is [tex]h_0 = 0.3[/tex], thus:
[tex]V(0.3) = \frac{9\pi (0.3)^2 - \pi (0.3)^3}{3} = 0.82[/tex]
[tex]V^{\prime}(0.3) = \pi[6(0.3) - (0.3)^2] = 5.3721[/tex]
-----------------------------------
The estimate, after 1 iteration, is:
[tex]h_1 = h_0 - \frac{V(h_0)}{V^{\prime}(h_0)}[/tex]
[tex]h_1 = 0.3 - \frac{0.82}{5.3721}[/tex]
[tex]h_1 = 0.1474[/tex]
The estimate of the height after one iteration is of h = 0.1474m.
A similar problem is given at https://brainly.com/question/17031314
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
20 points help quick
Answer:
6s-36 is the answer . Hope this helps you.
Answer:
6(x-6) = 6x-36
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.
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:
Need help please and thanks :)
Answer:
4 digits keep repeating
7569
[tex] \boxed{ \boxed{explanation}}[/tex]
By observing the given number with it's decimal expansion, we can say that there are four numbers which are repeating after the decimal.
i.e 7569.
So, 4 is the correct answer
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
Suppose M is the midpoint of FG. Use the given information to find the missing measure or value.
FM =5y + 13, MG = 5 - 3y, FG = ?
Answer:
FG = 16
Step-by-step explanation:
F___M___G
FG = FM+MG
FG = ( 5y +13 ) + (5-3y)
FG = 2y + 18
FM = MG
5y +13 = 5-3y
5y +3y = 5 - 13
8y = - 8
y = -8/8
y = – 1
FG = 2y + 18 = 2(-1) + 18 = – 2 + 18 = 16
I hope I helped you^_^
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).
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
Choose the two expressions that have an equal value.
A.6÷0.2
B.0.6÷0.2
C.60÷2
D.600÷2
Answer:
A and C
Step-by-step explanation:
A. 6÷0.2=30
B. 0.6÷0.2=3
C. 60÷2=30
D. 600÷2=300
