Answer:
Roughly 20.4%
Step-by-step explanation:
Use the formula of percent of error:
| Actual number - Guess / Actual number | (100)
The actual number is 108 and the guessed number is 86:
| 108 - 86 / 108 | (100)
= | 22/108 | (100)
= | 0.2037037037 | (100)
The vertical lines indicate absolute value. This means that anything inside of it must be turned into its positive form. Since it is already positive, just take the signs away:
0.2037037037(100)
≈ 0.204(100)
= 20.4
Turn this into a percent:
20.4%
Martha's percent of error is 20.4%
Please tell me if I was right or not. I really hope this helps!
Use the quadratic formula to solve for the roots of the following equation.
x2 - 4x + 13 = 0 x=____a0 +- ______a1 I
2+3i, x=2−3
Explanation:
Simplify cos^2theta(1+ tan^2theta)
Answer:
1
Step-by-step explanation:
We will use x instead of theta
● cos^2 x *(1+tan^2x)
We khow that: 1+ tan^2 x = 1/cos^2 x
Replace 1+tan^2 x by the new expression
● cos^2 x (1/cos^2 x)
● cos^2x/ cos^2 x
● 1
Suppose
f
(
x
)
=
2
x
2
+
4
x
−
10
. Compute the following:
Answer:-80
Step-by-step explanation:f(x)=2*2+4*-10
hi i need help once again lol A company asked its employees how much time they spend reading and responding to email. The line plot displays the employees' responses. How many total hours do the employees spend using email?
Answer:
C
Step-by-step explanation:
you multiply each dot by the fraction of hours it is under. you add everything up and you should get 66/8 which is equivalent to 8 and 1/4
Answer:
Is c
Step-by-step explanation:
For plato Users
What two times could this be on the 24-hour clock?
Give another name plane L
Answer:
Any one of these three works:
plane MOU
plane MNU
plane NOU
Step-by-step explanation:
A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.
Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.
To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.
plane L can be named
plane MOU
plane MNU
plane NOU
Do not name it plane MNO
Please help, I don't understand
Answer:
sin(θ) = (2/5)√6
Step-by-step explanation:
The sine and cosine are related by the formula ...
[tex]\sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}[/tex]
Filling in the given value for cos(θ), we find the sine to be ...
[tex]\sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}[/tex]
__
The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...
sin(θ) = (2/5)√6
You and your friend are playing a game. The two of you will continue to toss a coin until the sequence HH or TH shows up. If HH shows up first, you win. If TH shows up first, your friend wins. What is the probability of you winning?
Answer:
The probability of friend A winning with HH = 1/4.
Step-by-step explanation:
The probability of an event, A is P(A) given by the relationship;
P(A) = (The number of required outcome)/(The number of possible outcomes)
The parameters given are;
The condition of friend A winning = Coin toss sequence HH shows up
The condition of friend B winning = Coin toss sequence TH shows up
The number of possible outcomes = TT, TH, HH, HT = 4
(TH and HT are taken as different for the game to be fair)
The number of required outcome = HH = 1
Therefore;
The probability of friend A winning with HH = 1/4.
Juana wants to use the numbers 8, 6, 3,
and 2 to create her 4-digit ATM code.
She will not repeat any digits. How many
different codes could she create?
what is the solution to this equation -3x=52
Answer:
-17.3
Step-by-step explanation:
To solve for x, we can divide both sides by -3:
x = -52 / 3 which = -17.3
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{ - 17.33}}}}[/tex]Step-by-step explanation:
[tex] \sf{ - 3x = 52}[/tex]
Divide both sides of the equation by -3
⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{52}{ - 3} }[/tex]
Calculate
⇒[tex] \sf{x = - 17.33}[/tex]
Hope I helped!
Best regards!!
Which of the following equations has only one solution?
x2 + 4x + 4 = 0
x2 + x = 0
ox²-1=0
Answer:
x² + 4x + 4 = 0
Step-by-step explanation:
x² + 4x + 4 = 0
( x + 2 )² = 0
x + 2 = 0
x = -2
x² + x = 0
x ( x + 1 ) = 0
x = 0 or x = -1
x² - 1 = 0
x² = 1
x = 1 or x = -1
Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6
Answer:
y = - [tex]\frac{1}{16}[/tex](x - 1)² + 2
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
[tex]\sqrt{(x-1)^2+(y+2)^2^}[/tex] = | y - 6 |
Square both sides
(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )
(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )
(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )
(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )
16y = - (x - 1)² + 32 ( divide all terms by 16 )
y = - [tex]\frac{1}{16}[/tex] (x - 1)² + 2
Hassan built a fence around a square yard. It took 48\text{ m}^248 m 2 48, start text, space, m, end text, squared of lumber to build the fence. The fence is 1.51.51, point, 5 meters tall. What is the area of the yard inside the fence? \text{m}^2m 2
Answer:
64
Step-by-step explanation:
khan acadamy
Answer:
64
Step-by-step explanation:
Which is the simplified form of x-12?
Help
Answer:
1 / x^12
Hope this helped!!!
Answer: c)
Answer:
1 / x^12
PLEEEEEEEASE HELLLP What is the midpoint of segment RT with endpoints at (-5,2) and (1, -3)?
Answer:
-2, -1/2
Step-by-step explanation:
Step-by-step explanation:
The midpoint of a line segment between two points is given by
[tex]M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
where ( x1 , y1) and ( x2 , y2) are the points
From the question
The midpoint of the line segment using points (-5,2) and (1, -3) is
[tex]M = ( \frac{ - 5 + 1}{2} , \frac{2 - 3}{2} )[/tex]
[tex]M = ( - \frac{ 4}{2} , - \frac{1}{2} )[/tex]
We have the final answer as
[tex]M = ( - 2, - \frac{1}{2} )[/tex]
Hope this helps you
Briefly explain your knowledge of sine, cosine, and tangent.
Answer:
Sine, Cosine and Tangent are main functions used in Trigonometry .
They are based on a Right-Angled Triangle.
It helps to give a name to each side of a right triangle:
"Opposite" ; side opposite to the angle θ
"Adjacent"; side adjacent (next to) to the angle θ,
"Hypotenuse" ; the longest side
Step-by-step explanation:
Sine, Cosine and Tangent (are often shortened as sin, cos and tan)
They are used in calculation by;
[tex]Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Cos \alpha = \frac{Adjacent}{Hypotenuse}\\ \\Tan \alpha = \frac{Opposite}{Adjacent}[/tex]
To remember how to apply them , we use
SOHCAHTOA
soh
Sin = Opposite / Hypotenusecah
Cosine = Adjacent / Hypotenusetoa
Tangent = Opposite / AdjacentI hope it helps :)In the function above, the slope will be multiplied by -4, and the y-value of the y-intercept will be decreased by 1 unit. Which of the following graphs best represents the new function?
Answer: Answer Z :)
Step-by-step explanation:
PLEASE HELP
Arrange the functions for which the result is a non-infinite value and the limit exists in ascending order of their limit values as x tends to infinity.
Answer:
h,k,i,m,g,l
Step-by-step explanation:
I did all the work and i(x) limt should = -.25 and k(x) =0 but it said it was wrong. f(x) and j(x) cant be used, so my guess is to switch i(x) and k(x)
The answer is given in the image below.
Do all functions have limits?One of the fundamental standards of calculus is limits (limits of a function); it offers the fee of a function at a particular factor called limit. Limits are used to calculate the exact vital of the function. Not all functions include limits. A few functions no longer have any restrictions as the variable has a tendency to infinity.
What are examples of nonfunctions?The equations y = ± x and x 2 + y 2 = 9 are examples of non-function due to the fact there is at least one -price with or greater -values.
Learn more about Limits here: https://brainly.com/question/251701
#SPJ2
10
Complete the conversion. $2 per pound = $_ per ounce (round to the nearest hundredth)
Answer:
$2 per pound = $0.125. per pound
Step-by-step explanation:
The unit of weight conversion from pound to ounce is given as follows;
1 pound weight = 16 ounces weight
1 ounce weight = 1/16 pound weight
Therefore, whereby the cost of 1 pound weight of an item is two dollars, we have;
The cost of one ounce weight of the item will be the cost of 1 pound weight, divided by 16 and given as follows;
$2 per pound = $2/16 per pound = $0.125. per pound
Therefore;
$2 per pound = $0.125. per pound.
Which Property of real numbers does this equation show? 4 x 1 = 4
Answer:
This is multiplicative identity in which 4✖️1=4
Step-by-step explanation:
Hope it will help you:)
i give u 5 star help me :))))))))))))
Answer:
parallel is 5x + 3y = 13
perpendicular is 6x - 10y = 7
Step-by-step explanation:
Find the volume (in terms of pi) of a sphere if it’s surface area is 100 pi ft2. PLEASE HELP ME
Hey there! I'm happy to help!
to find the volume of a sphere, you cube the radius, multiply it by 4/3, and then multiply it by π.
First, we have to find the radius. To find the surface area you square the radius and multiply it by 4 and then π.
Let's do that formula backwards on our surface area to find the radius.
We divide by π
100÷π=100
We divide by 4.
100÷4=25
We find the square root.
√25=5
Now, we use our radius in the volume formula.
5³=125
125×4/3=500/3
We multiply by π.
500/3π
Therefore, the volume of a sphere if its surface area is 100π ft² is 500/3π ft³.
Have a wonderful day! :D
Answer:
V=166.66[tex]\pi[/tex] ft³
Step-by-step explanation:
The surface area of a sphere is 4[tex]\pi[/tex]r²
100[tex]\pi[/tex]=4
100[tex]\pi[/tex]/4
25=r²
r=5
Now that we know the radius is 5, we can find the volume.
v=4/3[tex]\pi[/tex](5)³
v=(5*5*5*4)/3*[tex]\pi[/tex]
V=166.66[tex]\pi[/tex]
Use linear regression to predict the length of a 40-month-old animal. The ages and lengths of several animals of the same species are recorded in the following table: (2 points)
Answer:
Aw what animal
Step-by-step explanation:
Srry I need pointse
Scouts of ABC school made to run around a regular hexagonal ground fig 9, of perimeter 270 m .If they started running from point X and covered two fifth (2/5th) of the total distance.Which side of the ground will they reach?
Answer:
Scouts are on the third side in the sense they are running
Step-by-step explanation:
A regular hexagonal shape of perimeter 270 has each side of 270/6 = 45
Let´s call d the run distance then
d = 2/5 * 270 d = 108 m
We don´t have fig 9 available therefore if X is a vertex in the hexagon or at the middle point of one side, scouts are 108 m from the starting point which means they had run 2,4 sides of the hexagon. If X is not either a vertex or a middle point of a side then, we have two solutions for the question depending on the sense the scouts took when began the run (clockwise or counterclockwise)
Solve the triangle. A = 51°, b = 14, c = 6 A. a ≈ 14.9, C ≈ 28.1, B ≈ 100.9 B. a ≈ 11.2, C ≈ 24.1, B ≈ 104.9 C. a ≈ 14.9, C ≈ 24.1, B ≈ 104.9
Answer:
(B) has the closest values.
Step-by-step explanation:
Solve the triangle: A = 51°, b = 14, c = 6
A. a ≈ 14.9, C ≈ 28.1, B ≈ 100.9
B. a ≈ 11.2, C ≈ 24.1, B ≈ 104.9
C. a ≈ 14.9, C ≈ 24.1, B ≈ 104.9
Using the cosine rule,
a^2 = b^2+c^2-2bc (cos(A))
= 196+36 - 2(14)(6)cos(51)
= 196+36 - 105.72
= 126.27
a = sqrt(126.27)
= 11.24
using sine rule,
sin(C)/sin(A) = 6/11.24
sin(C) = 6/11.24*sin(51)= 0.41495
C = arcsin(0.41495 = 24.5 degrees, reasonably close to the given value, probably due to the answer used the rounded value of a.
B = 180-51-24.5 =104.5
Out of the given options, only (B) has the correct value of a and C
A square plot of land has an area of 484m².What is the perimeter
Answer:
Perimeter: 88m
Step-by-step explanation:
Area of the square plot = (Side) X (Side)
And we are given the area is 484m²,
therefore, (Side) X (Side) = 484m²
or,
(Side)² = 484, taking square root on both the sides,
[tex]\sqrt{(Side)^{2} }[/tex] = [tex]\sqrt{484}[/tex]
Side = 22m.
And we know that, perimeter of a square is = 4 X (Side)
Therefore, Perimeter = 4 X 22 = 88m
:-)
Answer:
88m
Step-by-step explanation:
Area = 484m^2
A= s^2
484= s^2
s=[tex]\sqrt{484}[/tex]=22m
∴22m=s
⇒So, Perimeter= 4a=22*4= 88m
___H2 + ___Br2 → ___HBr
Answer:H2+Br2-->2HBr
Step-by-step explanation:
The amount of atoms on the left side must be equal to the amount of atoms on the right side for each element.
On the left you got 2xH and 2xBr.
This means you must have the same amount on the right.
2HBr =2xH + 2xBr
Stewart is hiring a plumber to fit his shower. He charges a callout fee of £18.50 and then £x per hour after that. The plumber charges him £167.00 and it takes him 9 hours. How much does the plumber charge per hour?
Answer:
Step-by-step explanation:
Amount charges by plumber = £ 167.00
Call out fee = £ 18.50
Charge excluding the call out fee = 167 - 18.50 = £ 148.50
Total hours worked = 9 hours
Charge per hour = charge excluding the call out fee ÷ total hours
= 148.50 ÷ 9
= £ 16.50
is y=3x^3+4x^2+15x+7 a function and if it is, explain
========================================================
Explanation:
It is a function because any x input leads to exactly one y output. The graph visually passes the vertical line test. It is impossible to draw a single vertical line through more than one point on the cubic curve, so that's why the graph passes the test, and visually confirms we have a function.
------------------
Extra info:
Something that isn't a function is [tex]y^2 = x[/tex] because it graphs a sideways parabola in which it is possible to draw a vertical line through more than one point on the curve. Two points on this parabola are (9, 3) and (9, -3). The input x = 9 corresponds to more than one output y = 3 and y = -3 simultaneously.
A family club keeps a small amount of money on hand for members to borrow for short periods of time. The simple interest charged is 7.5%. Stephen borrowed $5,000 for 3 months. How much, to the nearest dollar, was he required to pay back at the end of 3 months?
Answer:
$6125
Step-by-step explanation:
5000 x 3 x .075 = 1,125
5000 + 1125 = 6125
