Answer:
$8000 worth of sales
Step-by-step explanation:
We know Jack needs to make $1000 in 40 hours. We also know he makes 5% commission, meaning he gets 5% of the money from a sale, and that he makes $15/h.
First, lets find how much made from his hourly pay.
40 * $15 = $600
Now subtract that from how much he needs,
$1000 - $600 = $400
He still needs $400 from commissions. We know he makes 5% commission, so we can find the total value of the sales he'd need by multiplying 400 by 20 since 5% x 20 = 100%, aka the total value. $400 x 20 = $8000 in sales.
a traffic light can either be green, yellow or red. for every minute, the light stays green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. At any given moment of the day, what is the probability that the light will be yellow? a. 1/12 b. 1/9 c. 1/8 d. 1/6 e. 1/3
Answer:
a. 1/12 (hope it help)
Step-by-step explanation:
5sec/60sec=1/12
Explain why the graphs of reciprocals of linear functions (except horizontal ones) always have vertical asymptotes,
but the graphs of reciprocals of quadratic functions sometimes do not.
Answer:
The reason is because linear functions always have real solutions while some quadratic functions have only imaginary solutions
Step-by-step explanation:
An asymptote of a curve (function) is the line to which the curve is converging or to which the curve to line distance decreases progressively towards zero as the x and y coordinates of points on the line approaches infinity such that the line and its asymptote do not meet.
The reciprocals of linear function f(x) are the number 1 divided by function that is 1/f(x) such that there always exist a value of x for which the function f(x) which is the denominator of the reciprocal equals zero (f(x) = 0) and the value of the reciprocal of the function at that point (y' = 1/(f(x)=0) = 1/0 = ∞) is infinity.
Therefore, because a linear function always has a real solution there always exist a value of x for which the reciprocal of a linear function approaches infinity that is have a vertical asymptote.
However a quadratic function does not always have a real solution as from the general formula of solving quadratic equations, which are put in the form, a·x² + b·x + c = 0 is [tex]\dfrac{-b \pm \sqrt{b^{2} - 4\cdot a\cdot c}}{2\cdot a}[/tex], and when 4·a·c > b² we have;
b² - 4·a·c < 0 = -ve value hence;
√(-ve value) = Imaginary number
Hence the reciprocal of the quadratic function f(x) = a·x² + b·x + c = 0, where 4·a·c > b² does not have a real solution when the function is equal to zero hence the reciprocal of the quadratic function which is 1/(a·x² + b·x + c = 0) has imaginary values, and therefore does not have vertical asymptotes.
Solve for xif mZRQS = 2x+4 and mZTQS = 6x+ 20.
180
19.5
-4
90
Answer:
x= -4
Step-by-step explanation:
2x+4=6x+20
so 2x-6x=20-4
divide both sides by -4
-4x/-4 = 16/4
=-4
Subtracting Fractions
13 minus 12/40 equals
Answer:
12 7/10
Step-by-step explanation:
13 - 12/40
Simplify the fraction
13 - 3/10
Borrow 1 from 13 in the form of 10/10
12 + 10/10 - 3/10
12 7/10
Select the polynomial that is a perfect square trinomial.
36x2 - 4x + 16
16x2 - 8x + 36
25x2 + 9x + 4
4x2 + 20x + 25
none of the above
Step-by-step explanation:
36x²-4x+16 = (6x)²- 2*2*x+ 4² this isn't a perfect square trinomial 16x²-8x+36 = (4x)² - 2*4*x+6² this isn't a perfect square trinomial 25x²+9x+4= (5x)²+2* 9/2 *x+ 2² this isn't a perfect trinomial 4x²+20x+25 = (2x)² + 5*4*x+5² this isn't a perfect trinomial squareAnswer:
option c
Step-by-step explanation:
which of the following graphs shows a negative linear relationship with a correlation coefficient, r, close to -0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.
As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
please help me I really need help
Answer:
NS ≈ 79.3 m∠PNS ≈ 30.3°Step-by-step explanation:
The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.
PN² = 33² +60² = 4689
PN = √4689 ≈ 68.476 . . . meters
Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.
NS² = PN² +PS² = 4689 +1600 = 6289
NS = √6289
NS ≈ 79.3 . . . meters
__
We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:
tan(PNS) = NS/PN = 40/68.476
∠PNS = arctan(40/68.476)
∠PNS ≈ 30.3°
Apply the square root principle to solve (x - 2)2 + 20 = 0.
OA) x = 2 + 2115 , X = 2 - 2015
OB) x = 2 + 215 , X = 2 - 215
OC) x = -2 + 2i15, x = -2 - 2115
OD) x = -2 + 215,= -2 - 2 15
18 dogs are in a dog show the number of dogs in the show. The number of dogs in the show was 6 times the number of handlers how many handlers are in the show
Answer:
H = 3 handlers
There are 3 handlers in the show.
Step-by-step explanation:
Given;
Number of dogs in the show N = 18 dogs
Number of handler in the show H;
The number of dogs in the show was 6 times the number of handlers
N = 6H
H = N/6
Substituting the value of N;
H = 18/6
H = 3
There are 3 handlers in the show.
Answer:
H = 3 handlers
Step-by-step explanation:
Piravena must make a trip from A to B then from B to C, then from C to A. Each of these three parts of the trip is made entirely by bus or entirely by airplane. The cities form a right-angled triangle as shown, with C a distance of 3000 km from A and with B a distance of 3250 km from A. To take a bus, it costs Piravena $0.15 per kilometer. To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer. Determine the distance she travels for her complete trip. URGENT! I Will mark brainiest if it is correct
Answer:
a) Cost of flying from A to B = $425
b) Total distance travelled by Piravena during the complete trip = 7,500 km
c) To minimize cost and arrive at the final cost given, she must have travelled by bus from B to C and then travelled by taking an airplane from C to A.
Step-by-step explanation:
The complete question is presented in the attached image to this question.
Full Question
a) To begin her trip she flew from A to B. Determine the cost of flying from A to B.
b) Determine the distance she travels for her complete trip.
c) Piravena chose the least expensive way to travel between cities and her total cost was $1012.50. Given that she flew from A to B, determine her method of transportation from B to C and her method of transportation from C to A.
Solution
a) The distance from A to B is given as 3250 km.
To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer.
So, to fly 3250 km, she will pay
100 + (0.10×3250) = $425
b) For her complete journey, she is to make a trip from A to B then from B to C, then from C to A.
Her complete distance travelled = AB + BC + CA
But it is given that the three cities form a right angled triangle as given in the question with AB serving as the hypotenuse side.
Pythagoras theorem gives that the square of the hypotenuse side is equal to the sum of the respective squares of the other two sides
AB² = BC² + CA²
3250² = BC² + 3000²
BC² = 3250² - 3000² = 1,562,500
BC = √1,562,500 = 1,250 km
Total distance covered by Piravena during the entire trip = AB + BC + CA = 3250 + 1250 + 3000 = 7,500 km
c) Her total cost of travel = $1012.50
But she definitely flew from A to B at a cost of $425
This means she spent (1012.50 - 425) on the rest of the journey, that is, $587.5
Note that to travel by bus, it is $0.15 per kilometre and to travel by airplane is $100 + $0.10 per kilometre. Indicating that the airplane saves cost on long distance travels while the bus saves cost on short distance travels.
To confirm this, we calculate the two options (bus or airplane) for each route.
If she travels B to C by bus, cost = 0.15 × 1250 = $187.5
If she travels B to C by airplane, cost = 100 + (0.10×1250) = $225
Hence, the bus obviously minimizes cost here.
If she travels from C to A by bus, cost = 0.15 × 3000 = $450
If she travels from C to A by airplane, cost = 100 + (0.10×3000) = $400
Here, travelling by airplane minimizes the cost.
So, if we confirm now that she travelled from B to C by bus and then from C to A by airplane, total cost = 187.5 + 400 = $587.5
which is the remaining part of her total cost is she minimized expenses!
Hope this Helps!!!
Answer:
The distance is 7500 kilometers
Step-by-step explanation:
I got the answer wrong myself and the website told me that it’s 7500 kilometers
On a coordinate plane, triangle Q R S has points (negative 9, 5), (6, 10), and (2, negative 10). Find the area of the triangle QRS.
Answer:
140 square units
Step-by-step explanation:
The areas of the three right triangles are subtracted from the area of the entire box. This gives you 140 square units.
What is the value of f(4), if f(x) = x2 + 9x + 8?
A circular traffic island "roundabout" in Road Town has a radius of 12.5 m. If you drove around it twice, what would be the distance you traveled?
Answer:
About 157 meters
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex]. In this case, this means that one loop around the roundabout would be a distance of:
[tex]2\cdot \pi \cdot 12.5\approx 78.5[/tex]
Multiplying this by 2, you get a distance of about 157 meters. Hope this helps!
Answer:
157.14 mSolution,
1 round = circumference
[tex]2\pi \: r[/tex]
[tex] = 2 \times \frac{22}{7} \times 12.5[/tex]
[tex] = \frac{44}{7} \times 12.5[/tex]
Required distance covered:
[tex]2 \times \frac{44}{7} \times 12.5 \\ = \frac{88 \times 12.5}{7} \\ = 157.14 \: m[/tex]
hope this helps..
Good luck on your assignment...
I am really struggling with this question. please help.
Answer:
y = -2/3x + 1
Step-by-step explanation:
Step 1: Find slope
m = (-1 - 3)/(3 + 3)
m = -2/3
y = -2/3x + b
Step 2: Find b
-1 = -2/3(3) + b
-1 = -2 + b
b = 1
Step 3: Write equation
y = -2/3x + 1
What is the answer...?
Answer:
I think it's 1/2 because it might be right
can you pls help thank you
Answer:
not a function
Step-by-step explanation:
This is not a function. For the value x =2 there are two different y values
To be a function each value of x has only one value for y
This would also fail the vertical line test
The number r is irrational. Which statement about r+7 is true? r+7 is rational r+7 is irrational r+7 can be rational or irrational depending on the value of r
Answer: r+7 is irrational
Step-by-step explanation:
1) If r is irrational, that means that it goes on and on forever.
2) 7 is a rational number because it can be expressed as a quotient of 2 integers (7÷1=7)
3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.
Kaitlin paid $16.60 for 33.2 centimeters of wire.
Find the unit price in dollars per centimeter.
If necessary, round your answer to the nearest cent.
Answer:
Step-by-step explanation:
$0.50 per centimeters i think
The radius of the circle shown below is 17 yards. What is the length
of the 300 degree arc?
Round your answer to the nearest whole number.
17 yd
300°
Answer:
The length of the arc is 89 yards
Step-by-step explanation:
Mathematically, to find the length of an arc, we use the formula below;
Length of an arc = Theta/360 * 2 * pi * r
In this case, Theta = 300 and r = 17 yards
Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard
In circle A, angle BAE is congruent to angle DAE.
What is the length of BE?
You need to give us answer choices.
However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.
The length of BE could possibly be 27 units.
- I hope this helps. Next time, please use the search feature :)))
If you invest $1,000 in an account paying 4% interest compounded quarterly,lhow much money will you have after 3 years? A.)$1,500 B.)$1,005 C.)$1,220 D.)$1,225
Answer:
C is closest to the actual result, $1126.03.
Step-by-step explanation:
Use the Compound Amount formula: A = P(1 + r/n)^(nt), where:
P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.
Then we have A = $1000(1 + 0.04/4)^(4*3), or
= $1000(1.01)^12 = $1126.03
for how many values of k will x² + kx + 12 factor?
Answer:
6
Step-by-step explanation:
We want to factor the trinomial into a product of binomials. In general, we have ...
(x +a)(x +b) = x² +(a+b)x +ab
So, the values of "a" and "b" need to have a product of 12. There are 6 ways to do that:
12 = 1·12 = 2·6 = 3·4 = (-1)(-12) = (-2)(-6) = (-3)(-4)
The values of k are the sums of these factors of 12, so are
1+12 = 13
2+6 = 8
3+4 = 7
-1-12 = -13
-2-6 = -8
-3-4 = -7
There are 6 possible integer values of k that will make the trinomial factorable in integers:
k ∈ {-13, -8, -7, 7, 8, 13}
A. Fill in the boxes :
8 tens + 19 ones = 9 tens +
ones
8 tens + 2 ones = 7 tens +
ones
7 tens + 25 ones = 9 tens +
ones
70 + 11 = 80 +
50 +
= 60 + 3
90 + 13 =
+ 3
Step-by-step explanation:
it's simple:
8 tens + 19ones = 9 tens + 9 ones8 tens + 2 ones =7 tens+12 ones7 tens +25 ones = 9 tens + 5 ones70+11=80+150+13=60+390+13=100+3In need of an answer (giving brainliest)
Answer:
The answer is D.
Step-by-step explanation:
The lateral surface area of a 3-D figure is the area of each face that is NOT a base.
Non-
n
14. Two packages weigh 3.92 pounds and
2.8 pounds. How many times heavier
is the first package than the second?
07 times
Hey there!
Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!
So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).
3.92÷2.8=1.4
So, the first package is 1.4 times heavier than the first one!
Have a wonderful day!
Calculate: 1/1×3 + 1/3×5 + ... + 1/47×49 .
Answer: 1/1x3+1/3x5 = 14/3 or 4 2/3
Step-by-step explanation:
And please, next time give the problem fully.
If ε= {x: x is an integer such that 1
2 < x < 12,
4 < x < 21,
-1 < x < 9
0 < x < 8
x<6
From above: 4 < x < 6 --> x = 5.
Answer: B.
Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.
A. 1/6
B. 5/6
C. 25/36
D. 10
Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form
with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus
[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]
Substitute this value into y
y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]
= [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]
Since a > 1 then the vertex is a minimum, thus
minimum value = [tex]\frac{1}{6}[/tex] → A
Please answer this fast in 2 minutes
Answer: angles EBA and HBI are congruent
Step-by-step explanation:
they are the congruent because they are verticle angles
Find the solutions to the equation below.
Check all that apply.
x2 - 25 = 0
O A. X=-3
OB. x = 3
O c. x= -1
O D. x= 1
E. x = -5
O F. X = 5
Answer:
[tex]\boxed{\sf \ \ \ x = 5 \ or \ x=-5 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]x^2-25=0\\<=> x^2-5^2=0\\<=> (x-5)(x+5)=0\\<=> x-5 = 0 \ or \ x+5=0\\<=> x = 5 \ or \ x=-5[/tex]
hope this helps