Answer:
259 divided by 170,000 gives you the % 259 is out of 170,000 which is .0015. Move the decimal two spaces to the right to get the actual commission rate=.15%
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -3 + 3 sin θ
Answer:
y-axis
Step-by-step explanation:
A circle is centered at N (-6 -2) The point E (-1, 1) is on the circle. Where does the point H (-10, -7) lie?
so we know the point E is on the circle, thus the distance NE is really the radius of the circle hmmm what would that be?
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad E(\stackrel{x_2}{-1}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[-1-(-6)]^2+[1-(-2)]^2}\implies r=\sqrt{(-1+6)^2+(1+2)^2} \\\\\\ r=\sqrt{5^2+3^2}\implies r=\sqrt{34}\implies r\approx 5.83 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad H(\stackrel{x_2}{-10}~,~\stackrel{y_2}{-7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NH=\sqrt{[-10-(-6)]^2+[-7-(-2)]^2} \\\\\\ NH=\sqrt{(-10+6)^2+(-7+2)^2}\implies NH=\sqrt{(-4)^2+(-5)^2} \\\\\\ NH=\sqrt{41}\implies NH\approx 6.4\impliedby \begin{array}{llll} \textit{units away from the center}\\ \textit{is outside the circle} \end{array}[/tex]
recall the radius is about 5.83, anything shorter than that is inside the circle, anything longer than that is outside it.
Answer:
outside the circle
Step-by-step explanation:
trust me. i did it on khan academy
pls help math
12x+110=6(x+100)
15 points
move parentheses by 6. 12x+110=6x+600
move variable to its left side and change its term 12x+110-6x=100
collect like terms and subtract 12 the divide both sides by 6.
answer 81.666666666666
Answer:
[tex]x = 230/3\\[/tex]
Step-by-step explanation:
Step 1: Distribute
12x + 110 = 6(x + 100)
12x + 110 = (6 * x) + (6 * 100)
12x + 110 = 6x + 600
Step 2: Subtract 6x from both sides
12x + 110 - 6x = 6x + 600 - 6x
6x + 110 = 600
Step 3: Subtract 110 from both sides
6x + 110 - 110 = 600 - 110
[tex]6x = 490[/tex]
Step 4: Divide both sides by 6
[tex]6x / 6 = 490 / 6[/tex]
[tex]x = 490 / 6[/tex]
[tex]x = (460/2) / (6/2)[/tex]
[tex]x = 230/3[/tex]
Answer: [tex]x = 230/3\\[/tex]
elimination/subtraction
3x - 10y=-70
4x +9y = 63
(can you please explain in step by step?)
Answer:
x = 0, y = 7
Step-by-step explanation:
Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.
In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.
3x - 10y=-70
- 4x +9y = 63
-x + y = 7
Now, for substitution, the equation must be set to a variable.
-x + y = 7
y = x + 7
Next, plug the equation in where applicable in another equation.
4x +9(x + 7) = 63
4x + 9x + 63 = 63
13x = 0
x = 0
The final step of substitution is to plug the known variable into an equation to find the other variable.
3(0) - 10y=-70
0 - 10y = -70
10y = 70
y = 7
I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.
Answer:
x = 0 , y = 7
Step-by-step explanation:
[tex]3x - 10y = - 70..............(1) \\ 4x + 9y = 63...................(2) \\ (1) \times 4 \\ 12x - 40y = - 280...........(3) \\ (2) \times 3 \\ 12x + 27y = 189...........(4) \\ (4) - (3) \\ 67y = 469 \\ \\ y = \frac{469}{67} \\ y = 7 \\ put \: y = 7 \: into \: (1) \\ 3x - 10(7) = - 70 \\ 3x - 70 = - 70 \\ 3x = - 70 + 70 \\ 3x = 0 \\ x = \frac{0}{3} \\ x = 0[/tex]
Elimination method
2x-7y=0
4x+9y=0
Answer:
The answer to the question
Which is equivalent to 80 1/4 x
In this Multiplication in Algebra question, The expression '80 (1/4) x' is equivalent to '20x'. When the constant 80 multiplies with the fraction 1/4, the product then multiplies with the variable 'x' resulting in a simplified expression '20x'.
The given mathematical expression 80 (1/4) x can be simplified using the rules of multiplication in algebra.
Here the number 80 multiplies with the fraction 1/4 and then by the variable 'x'.
To carry out this operation, first multiply 80 by 1/4 which equals to 20, and then multiply this by 'x', so your final result would be 20x. Hence, the expression 80 (1/4) x is equivalent to 20x.
Learn more about Multiplication in Algebra here:
https://brainly.com/question/33275004
#SPJ6
The probable question may be:
Which is equivalent to 80 (1/4) x
on the first day of a local fair, 55 children, 20 adults, and 25 senior citizens were admitted. if children's tickets cost $5.00 each, adults cost $8.00 each and senior citizen tickets cost $6.00 each, what was the mean ticket price for all 100 people who entered?
Answer:
585$
Step-by-step explanation:
multiply 55 by 5, then multiply 20 by 8, last multiply 25 by 6 and add each of the totals to one another.
The mean ticket price is 5.85
Write a function describing the relationship of the given variables.
A
varies directly with the square root of
r
and when
r
=
16
,
A
=
40
A
=
Answer:
The function is A = 10√r
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# A is varies directly with the square root of r
- Change the statement above to a mathematical relation
∴ A ∝ √r
- Chang the relation to a function by using a constant k
∴ A = k√r
- To find the value of the constant of variation k substitute A and r
by the given values
∵ r = 16 when A = 40
∵ A = k√r
∴ 40 = k√16 ⇒ simplify the square root
∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k
∴ 10 = k
- The value of the constant of variation is 10
∴ The function describing the relationship of A and r is A = 10√r
Answer:
A = 10[tex]\sqrt{r}[/tex]
Step-by-step explanation:
Given A varies directly with the square root of r then the equation relating them is
A = k[tex]\sqrt{r}[/tex] ← k is the constant of variation
To find k use the condition r = 16 , A = 40
k = [tex]\frac{A}{\sqrt{r} }[/tex] = [tex]\frac{40}{\sqrt{16} }[/tex] = [tex]\frac{40}{4}[/tex] = 10
A = 10[tex]\sqrt{r}[/tex] ← equation of variation
Plz help me with this
Answer:
4 n - 7
Step-by-step explanation:
- 3 , 1 , 5 , 9
The difference between the terms is 4, so our multiplier is 4 n
4 , 8 , 12 , 16 ( The 4 times tables )
-3 , 1 , 5 , 9 ( The original sequence )
What are we doing to get from the 4 times tables to get to the original sequence?
4 - - 3 = 7
8 - 1 = 7
12 - 5 = 7
16 - 9 = 7
We are subtracting 7 so our complete general term is 4 n -7
Note: Enter your answer and show all the steps that you use
to solve this problem in the space provided.
A radio signal travels at 3.00 · 100 meters per second.
How many seconds will it take for a radio signal to travel from
a satellite to the surface of Earth if the satellite is orbiting at a
height of 3.54 · 10' meters? Show your work.
لیا
Answer:
O.118 seconds will be taken for a radio signal to travel from a satellite to the surface of earth.
Step-by-step explanation:
We are given Speed = 3.00 · 10^8 meters per second.
And Distance = 3.54.10^7 metwers
We need to find time.
We know that,
Distance = Speed * Time
3.54.10^7 = 3.00 · 10^8 * Time
Time = 3.54.10^7 / 3.00 · 10^8
Time = 1.18 X 10^7-8
Time = 1.18 x 10^-1
Time = 0.118 seconds.
So, O.118 seconds will be taken for a radio signal to travel from a satellite to the surface of earth.
in a triangle, a 32° angle is between two sides of 6 feet and 8 feet. what is the length of the thrid side, in feet?
Answer:
4.3 feet
Step-by-step explanation:
The cost of renting a car is 35/we plus $0.25/mi traveled during that week. An equation to represent the cost would be y= 35+0.25x, where x is the number of miles traveled. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
ANSWER
260 miles
EXPLANATION
The equation that models the cost is
[tex]y = 35 + 0.25x[/tex]
If you have a maximum of $100 to spend for the car rental, then we can equation the cost function to
$100 to determine the maximum number of miles you could travel.
[tex]35 + 0.25x = 100[/tex]
[tex]0.25x = 100 - 35[/tex]
[tex]0.25x = 65[/tex]
[tex]x = \frac{65}{0.25} [/tex]
[tex]x = 260mi[/tex]
Therefore the maximum number of miles you can travel is 260 miles
Which of the following is least able to transfer electrons?
Option D. an isulator
Is the right answer i guess...
As The transfer of electrons increases The cunductivity also increases...
Hope it helps...
Regards,
Leukonov/Olegion.
Answer:
Insulator
Step-by-step explanation:
As insulators are meant to prevent the conduction of electricity.
which is the best name for the quadrilateral with vertices at (2,2) (5,-2) (1,-5) (-2,-1)
Answer:
square
Step-by-step explanation:
A graph reveals all side lengths are the same and sides are perpendicular. The quadrilateral is a square.
On a map with a scale of 1 inch= 12 miles, the distance between two cities is 4
inches. What is the actual distance between the two cities?
48 miles. If 1 inch means 12 miles you can multiply both sides by 4 to get "4 inches = 48 miles"
PLZZ HELP BASIC ALGEBRA
Solve the equation
8+2z=3(2-z)
Answer:
z = [tex]-\frac{2}{5}[/tex] or - 0.4
Step-by-step explanation:
8+2z = 6 - 3z
2z = 6 - 8 - 3z
2z + 3z = - 2
5z = -2
z = [tex]-\frac{2}{5}[/tex] or - 0.4
The Transitive Property of Congruence allows you to say that if ∠PQR ≅ ∠RQS, and ∠RQS ≅ ∠SQT, then _____.
1.) ∠RQS ≅ ∠PQR
2.) ∠PQR ≅ ∠SQT
3.) ∠PQR ≅ ∠RQS
4.) ∠RQS ≅ ∠RQP
The answer would be 2. Angle PQR = Angle SQT
Hope it helps :)
Answer is 2 for sure Goodluck.
find the value of k for which one root of the quadratic equation kx2 14x 8 = 0 is 6 times the other
Answer:
k = 3.
Step-by-step explanation:
If the 2 roots are A and B we have the relations:
AB = 8/k and A+B = -14/k.
We are given that A = 6B so
6B^2 = 8/k
B^2 = 8/6k = 4/3k
B = 2 /√(3k) ......(1)
Now A + B = -14/k so
6B + B = 7B = -14/k
B = -2/k..........(2)
Eliminating B from equations (1) and (2):
2 /√(3k) = -2/k
Cross multiply:
2k = -2√(3k)
Squaring both sides:
4k^2 = 4 * 3k
4k^2 = 12k
k^2 = 3k
k = 3.
To find the value of k, we first define the roots as p and 6p. We then use the properties of the sum and product of roots in a quadratic equation to form two equations. We can solve these equations to get the value of k.
Explanation:The given quadratic equation is kx2 + 14x + 8 = 0. We are looking for the value of k for which one root of the equation is six times the other. Let's denote the roots by p and 6p (since one is 6 times the other).
For a quadratic equation ax2 + bx + c = 0, the sum of the roots is given by -b/a and the product of the roots is c/a. In this case, -b/a or -14/k is equal to the sum of the roots (p + 6p). The product of the roots, c/a or 8/k, is equal to p*6p.
From the sum of the roots equation, we can determine p = -14/7k and by substitifying p in the other equation we can solve for k.
Learn more about Quadratic Equations here:https://brainly.com/question/34196754
I need help please. Quick.
It would be A.
All of the others include “Natural Numbers” -5 is not a natural number. A natural number is a counting number like 1,2,3,4,5.
Answer: I believe your answer is A.
hope you get 100%! ^.^
what is the center of the circle given by the equation x^2+y^2-14y-15=0
Answer:
(0, 7)Step-by-step explanation:
The equation of a circle in the standard form:
[tex](a-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the equation:
[tex]x^2+y^2-12y-15=0[/tex]
Convert into a standard form using
[tex](a-b)^2=a^2-2ab+b^2\qquad(*)[/tex]
[tex]x^2+\underbrace{y^2-2(y)(7)+7^2}_{(*)}-7^2-15=0\\\\(x-0)^2+(y-7)^2-49-15=0[/tex]
[tex](x-0)^2+(y-7)^2-64=0[/tex] add 64 to both sides
[tex](x-0)^2+(y-7)^2=64[/tex]
The center (0, 7)
The radius: r = √64 = 8
a ticket office sold 553 tickets one day. the receipts totaled $3936. how many $9 adult tickets and how many $6 child tickets were sold
This is the assumption method ;)
Take all tickets to be adult tickets
$9 x 553 = $4977
Then..... $4977 - $3936 = $1041
The difference between the child and adult ticket is $3, so divide $1041 by $3
$1041 divided by $3 = 347
347 is the number of child tickets sold
347 x $6 = $2082
So 553 - 347 = 206 ( no. of adult tickets )
206 x $9 = $1854
Child tickets sold : 347
Adult tickets sold : 206
:0 ITS MAGIC IM SO SMART
Answer:
347 child tickets and 206 adult tickets are sold
Step-by-step explanation:
Let x be the no. of child tickets sold
Let y be the no. of adult tickets sold
A ticket office sold 553 tickets one day.
Equation becomes : [tex]x+y=553[/tex] ---A
Cost of 1 child ticket = $6
Cost of x child tickets = 6x
Cost of 1 adult ticket= $9
Cost of y adult tickets = 9y
Now we are given that the receipts totaled $3936.
So, Equation becomes : [tex]6x+9y=3936[/tex] ---B
Plot A and B
[tex]x+y=553[/tex] ---Green
[tex]6x+9y=3936[/tex] ---Purple
Intersection point = (x,y)=(347,206)
Refer the attached figure
Hence 347 child tickets and 206 adult tickets are sold
Which of the following is the midpoint between (-8, -1) and (-2, -5)?
(-5, 3)
(5, 3)
(5, -3)
(-5, -3)
Answer:
[-5, -3]
Step-by-step explanation:
Just find the *median* of each coordinate.
Abc is a rectangle find m angle AEB
Check the picture below.
Answer:
The correct answer is last option.
m<AEB = 140
Step-by-step explanation:
From the figure we can see rectangle.
It is given that, m<ADE = 70°
To find the value of m<AEB
From the figure we get Triangle ADE is isosceles triangle
<DAE = 70°
Therefore m<AED = 180 - (70 + 70) = 40°
<AED and <AEB are linear pairs
Therefore m<AEB = 180 - m<AED
= 180 - 40 = 140
The correct answer is last option
140
Select the correct answer.
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is allergic to penicillin and the test predicts it?
Answer:
[tex]P=0.735[/tex]
Step-by-step explanation:
Call A to the event in which Nathan is allergic to penicillin
So
[tex]P (A) = 0.75[/tex]
[tex]P (A') = 1-P (A) = 0.25[/tex]
Call B the event in which the skin test predicts correctly.
So:
[tex]P (B) = 0.98\\P (B ') = 1-P (B) = 0.02[/tex]
We look for the probability that Nathan is allergic to penicillin and the test predicts it.
This is [tex]P (A\ and\ B)[/tex].
[tex]P (A\ and\ B) = P (A)*P (B)\\\\P (A\ and\ B) = 0.75 * 0.98\\\\P (A\ and\ B) = 0.735[/tex]
Ok I got 8 and I know it is wrong someone please help me
I would go with answer D here just because it is the only option over 13, and the hypotenuse is always larger than the other sides. Im not positive on the math behind it though tbh.
find the value of 9!/(9-32)
Step-by-step explanation:
[tex]n!=1\cdot2\cdot3\cdot...\cdot n\\\\\dfrac{9!}{9-32}=\dfrac{1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9}{-23}=-\dfrac{362880}{23}[/tex]
Helpppp me 10 pointssss
Answer:
C
Step-by-step explanation:
Find the height (h ) above eye level and add 5 to give height from floor level.
Since the triangle is right use the tangent ratio to find h
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{5}[/tex]
Multiply both sides by 5
5 × tan60° = h, hence
h ≈8.66
The height is 8.66 + 5 = 13.66 ≈ 14 ft ( to nearest foot )
A rectangular area is to be enclosed with 12m of fencing.
A) what is the maximum area that can be enclosed if the fencing is used on all four sides. What are the dimensions of this optimal shape?
B) Suppose an existing hedge is used to enclose one side. Determine the maximum area that can be enclosed. What are the dimensions in this shape?
C) Suppose two perpendicular hedges enclose the area on two sides. What are the dimensions of the maximum area that can be enclosed?
The correct answer is B
Probability and Statistics
Suppose the x-axis of a density graph represents someone's height in inches. If the area under the density curve from 60 inches to 70 inches is 0.65, what is the probability of someone's height being anywhere from 60 inches to 70 inches?
A. 70%
B. 65%
C. 75%
D. 60%
Answer:
b
Step-by-step explanation:
Also got B if you it’s not right let me know send me a comment and I will try to help with the best of my ability
If vector v has an initial point at P1 and a terminal point at P2, write v as multiples of the basis vectors That is, write v in the form v = ai + bj.
P1 = (−5, −2), P2 = (4, 1) and v = ?
Answer:
v=9i+3j
Step-by-step explanation:
The given vector, v has initial point at P1 = (−5, −2) and terminal point at P2 = (4, 1).
The vector v is found by subtraction the initial point from the terminal point.
v=<4,1>-<-5,-2>
v=<4--5,1--2>
v=<9,3>
We write v as multiples of the basis vectors to obtain:
v=9i+3j