Answers
Related Questions
Solve for the length of the unknown side in the following right triangle. (Side AC is the hypotenuse.)
Round your answer to two places, where applicable.
Side AB 3 Side BC 4 Side AC ?
Answers
Answer:
side AC is 5
Step-by-step explanation:
by using th pythagorean theorm you would square both sides add them together and the square root the sum to get you answer.
AB =3 BC=4
9+16=25
25 square root is 5
makeing AC=5
- Which of the following is the correct distance between the points (-5, 3) and (7,8)?
Answers
Answer:
13 units
Step-by-step explanation:
(x₁,y₁) = (-5 , 3) & (x₂ , y₂) = (7 ,8)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\[/tex]
[tex]= \sqrt{(7-[-5])^{2}+(8-3)^{2}} \\\\= \sqrt{(7+5)^{2}+(8-3)^{2}} \\\\= \sqrt{(12)^{2}+(5)^{2}}\\\\=\sqrt{144+25}\\\\=\sqrt{169}\\\\= 13[/tex]
Topic: The Quadratic Formula
Progress:
The movement of the progress bar may be uneven becouse questions can be worth more or less (including zero) depending
your answer
Match each equation on the left with the number and type of its solutions on the right.
x + 3x – 4= 0
two complex (nonreal) solutions
x2 + 3x + 4 = 0
two real solutions
4x² + 1 = 4x
one real solution
Clear
Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your
the target before Feleasing. The target will highlight or the cursor will change. Need help? Watch this vide
Answers
Answer:
Step-by-step explanation:
The quadratic formula for a equation of form
ax²+bx + c = 0 is
[tex]x= \frac{-b +- \sqrt{b^2-4ac} }{2a}[/tex]
For the first equation,
x²+3x-4=0,
we can match that up with the form
ax²+bx + c = 0
to get that
ax² = x²
divide both sides by x²
a=1
3x = bx
divide both sides by x
3 = b
-4 = c
. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.
Plugging our values into the equation, we get
[tex]x= \frac{-3 +- \sqrt{3^2-4(1)(-4)} }{2(1)} \\= \frac{-3+-\sqrt{25} }{2} \\ = \frac{-3+-5}{2} \\= -8/2 or 2/2\\= -4 or 1[/tex]
as our possible solutions
Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.
Next, we have
x²+3x+4=0
Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus
[tex]x= \frac{-3 +- \sqrt{3^2-4(1)(4)} }{2(1)}\\= \frac{-3 +- \sqrt{9-16} }{2}\\= \frac{-3 +- \sqrt{-7} }{2}\\[/tex]
Because √-7 is not a real number, this has no real solutions. However,
(-3 + √-7)/2 and (-3 - √-7)/2 are both possible complex solutions, so this has two complex solutions
Finally, for
4x² + 1= 4x,
we can start by subtracting 4x from both sides to maintain the desired form, resulting in
4x²-4x+1=0
Then, a=4, b=-4, and c=1, making our equation
[tex]x=\frac{-(-4) +- \sqrt{(-4)^2-4(4)(1)} }{2(4)} \\= \frac{4+-\sqrt{16-16} }{8} \\= \frac{4+-0}{8} \\= 1/2[/tex]
Plugging 1/2 into 4x²+1=4x, this works as the only solution. This equation has one real solution
Find the numerical value of the area under the normal curve given the following information:
to the right of z = 2.28
enter your answer as a decimal (NOT percentage) and lead with a zero...for example: 0.1234
Answers
Answer:
1 - 0.9887 = 0.0113
Step-by-step explanation:
At a concession stand, three hot dog(s) and two hamburger(s) cost $8.00; two hot dog(s) and three hamburger(s) cost $8.25. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog? $_____
Answers
Answer:
$1.5
Step-by-step explanation:
Solve by graphing the system of equations where x = the number of hot dogs and y = the number of hamburgers
> 3x + 2y = 8
> 2x + 3y = 8.25
The solution is (1.5, 1.75)
-- Check attachment for graph
The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The measurements are given in the table.
Using technology, what is the equation for the least-squares regression line?
y= –34.13 1.98x
y = 1.98 – 34.13x
y = 17.37 0.50x
y = 0.50 17.37x
I think it's (C) y = 17.37 0.50x --> 100%
Answers
Answer:
The answer is (C)
17.37 + .50x
ED2021
please help me with geometry
Answers
Answer:
How to improve my geometry?
Part 1 of 3: Getting the Grade
Attend every class. Class is a time to learn new things and solidify the information that you may have learned in the previous class.
Draw diagrams. Geometry is the math of shapes and angles. ...
Form a study group. ...
Know how to use a protractor. ...
Do all of the assigned homework. ...
Teach the material. ...
Do lots of practice problems. ...
Seek extra help. ...
Step-by-step explanation:
f(10)
calculate the indicated function value
Answers
The A&M Hobby Shop carries a line of radio-controlled model racing cars. Demand for the cars is assumed to be constant at a rate of 60 cars per month. The cars cost $70 each, and ordering costs are approximately $15 per order, regardless of the order size. The annual holding cost rate is 20%.
Required:
a. Determine the economic order quantity and total annual cost under the assumption that no backorders are permitted.
b. Using a $45 per-unit per-year backorder cost, determine the minimum cost inventory policy and total annual cost for the model racing cars.
c. What is the maximum number of days a customer would have to wait for a backorder under the policy in part (b)? Assume that the Hobby Shop is open for business 300 days per year.
d. Would you recommend a no-backorder or a backorder inventory policy for this product? Explain.
Answers
Answer:
Step-by-step explanation:
A) Demand per month= 40 cars
Annual Demand (D)= 12*40 = 480
Fixed Cost per order (K)= 15
Holding Cost= 20% of cost= 60 *0.2 = 12
a. Economic Order Quantity=
Q^{*}={\sqrt {{\frac {2DK}{h}}}}
= √(2*480*15)/12
=34.64 ~ 35
Total Cost =P*D+K(D/EOQ)+h(EOQ/2) P= Cost per unit
= 60*480+ 15(480/35) + 12(35/2)
= 28800+ 205.71+ 210
=$29215.71
B). Backorder Cost (b)= $45
Qbo= Q* × √( b+h/ h)
= 35*√(12+45/ 45)
= 35* 1.12
=39.28 ~ 39
Shortage (S)= Qbo * (K/K+b)
= 39* (15/15+45)
= 39* 0.25
= 9.75
Total Cost Minimum=( bS2/ 2Qbo) + P (Qbo- S)2/2Qbo + K(D/Qbo)
=45* 9.752 / 2* 392 + 60 (39-9.75)2/ 2* 392 + 15 ( 480/39)
= 1.40+ 21.9.+ 184.61
=$207.91
C)Length of backorder days (d) = Demand ÷ amount of working days
d = 480 ÷ 300
d = 1.6
Calculate the backorders as the maximum number of backorders divided by the demand per day
s/d = 9.75/1.6 = 6.09 days (answer)
D) Calculate the difference in total between not using backorder:
$207.85 + $207.85 - 207.91 = $207.79
The saving in using backorder is $207.79.
Therefore I would recommend using a backorder
Find the cash value of the lottery jackpot (to the nearest dollar). Yearly jackpot payments begin immediately (26 for Mega Millions and 30 for Powerball). Assume the lottery can invest at the given interest rate. Powerball: $360 million; 5.4% interest
a. $188,347,953
b. $282,573,702
c. $185,870,742
d. $298,386,685
Answers
Answer:
The right response is Option c ($185,870,742).
Step-by-step explanation:
Given:
n = 30
r = 5.4%
or,
= 0.054
Periodic payment will be:
[tex]R = \frac{360000000}{30}[/tex]
[tex]=12000000[/tex] ($)
Now,
The present value will be:
= [tex]R+R(\frac{1-(1+r)^{-n+1}}{r} )[/tex]
By substituting the values, we get
= [tex]12000000+12000000(\frac{1-(1+0.054)^{-30 + 1}}{0.054} )[/tex]
= [tex]12000000+12000000\times 14.4892[/tex]
= [tex]185,870,742[/tex] ($)
The profits for video game companies depend on what game platform the game runs on, which can either be a portible system with a built in screen, or a standard system that you have to hook up to a television. The profit off of a portible game system is $72, while the profit from a standard game system is $90. The store manager has to make at least $360 per day in order to keep the store open. Which graph represents this inequality? Write the inequality that represents the number of games that must be sold everyday to meet or beat the sales goal.
Answers
Step-by-step explanation:
A heating pad takes 8,827 Watts during each time it is turned on. If you only use it for 43 minutes, how much CO2 was created? Round to 1 decimal.
Answers
Answer:
6.3 Kwhr
Step-by-step explanation:
Given :
Power = 8827 watts
Time in minutes = 43 minutes
To obtain the amount of CO2 that was created :, which is the energy :
Recall
Energy = power * time
Energy in kw/hr = (8827/100) * (43/60)
Energy = 8.827 * 0.7166666
Energy = 6.326 Kwhr
Find perimeter of square with its each side a cm.
Answers
Answer:
4cm
Step-by-step explanation:
Each side of the square = 1cm
Perimeter of a square = 4xside
= 4x1 = 4
Answer From Gauth Math
Give the domain and range.
x –2 0 2 y –1 0 1
a. domain: {2, 0, 2}, range: {1, 0, 1} b. domain: {–2, 0, 2}, range: {–1, 0, 1} c. domain: {–1, 0, 1}, range: {–2, 0, 2} d. domain: {1, 0, 1}, range: {2, 0, 2}
Answers
Answer:
B. domain {-2, 0, 2}, range {-1, 0, 1}
Step-by-step explanation:
The x values and y values as ordered pairs would be: (-2,-1), (0,0), (2,1)
The domain is the all of the values of x and the range is all the values of y.
One week Leslie earned a total of $425. of that amount $300 was tips
if she worked a 40-hour week, what was the hourly rate she received?
a. $1.88
b. $3.13
c. $8
d. $10.63
Answers
Answer:
Step-by-step explanation:
$425-$300 = $125
$125/(40 hr) = $3.125/hr ≈ $3.13/hr
A line passes through the point (-1, -9) and has a slope of -7.
What would be the equation for this line?
Answers
Answer:
y = -7x - 16
Step-by-step explanation:
The formula for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept. Since we already know the slope, all that is left is the value of b, which can be found by substituting the values of the point (-1, -9) into the equation and solving:
[tex]-9=-7(-1)+b[/tex]
[tex]-9=7+b[/tex]
[tex]b=-9-7=-16[/tex]
With this, we get the value -16, making the equation y = -7x - 16
number
5. Thesum of a two-digit number a
(CBSE 2002]
Find the numbers.
If the two digits differ by 2, find the number. I
6. The sum of two numbers is 1000 and the difference between their squares is 256000.
7. The sum of a two digit number and the number obtained by reversing the order of its
digits is 99. If the digits differ by 3, find the number.
8. A two-digit number is 4 times the sum of its digits. If 18 is added to the number, the digits
are reversed. Find the number.
(CBSE 2001C]
[CBSE 2001C]
9. A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the
(CBSE 2001C]
number, the digits are reversed. Find the number.
10. A two-digit number is 4 more than 6 times the sum of its digits. If 18 is subtracted from
the number, the digits are reversed. Find the number.
11. A two-digit number is 4 times the sum of its digits and twice the product of the digits.
[CBSE 2005]
Find the number.
[CBSE 2005]
12. A two-digit number is such that the product of its digits is 20. If 9 is added to the number,
the digits interchange their places. Find the number.
13. The difference between two numbers is 26 and one number is three times the other. Find
them.
14. The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the
Answers
Let the numbers are x and y
According to the question
⇒x+y=1000.....eq1⇒x 2 −y 2
=256000∵x 2 −y 2
=(x+y)(x−y)
⇒1000∗(x−y)=256000
⇒x−y=256.....eq2
Adding eq1 and eq2
⇒2x=1256⇒x=628
Put the value of x in eq1
⇒628+y=1000⇒y=372
The numbers are 628 and 372
Hi I'm From PHILIPPINES
I'm here to help USA users like you
The faces of all prisms are _____________.
triangles
circles
parallelograms
trapezoids
Answers
Rectangular prisms and cubes have faces that are parallel
evaluate -7x^2 -5 + y^2- forx = -2, y=4
Answers
Answer:
The (y^2 ) or (y^–2) It is not clear, I solved it in both ways (y^2) and (y^-2) .^_^
[tex] - 7 {x }^{2} - 5 + {y}^{2} \\ - 7( { - 2}^{2} ) - 5 + {4}^{2} \\ - 7( - 4) - 5 + 16 \\ 28 - 5 + 16 \\ = 39[/tex]
_______o_____o_______
[tex] - 7 {x }^{2} - 5 + {y}^{ - 2} \\ - 7( { - 2}^{2} ) - 5 + {4}^{ - 2} \\ - 7( - 4) - 5 + \frac{1}{16} \\ 28 - 5 + \frac{1}{16} \\ = 23.06[/tex]
I hope I helped you^_^
Solve the equation for y. Identify the slope and y- intercept. Then graph the equation. 2y-3x=10
Answers
Answer:
y=3/2x+5
The slope is 3/2 and the y-intercept is 5
Step-by-step explanation:
Solving for y will give us the slope and y-intercept
Isolate y
2y/2=10+3x/2
y=5+3/2x
The slope is 3/2 and the y-intercept is 5
Graph it by graphing (0,5) and using the slope (up 3 over 2) to put other points
find the equation of straight line passes through a point (0 ,- 3 )which makes an angle tan^-1(1/3) with the line 3x- 2Y + 13 =0
Answers
Answer:
Step-by-step explanation:
Edit:
y = (7/9)x = 3
9514 1404 393
Answer:
y = 11/3x -3
Step-by-step explanation:
The slope of a line is the tangent of the angle it makes with the x-axis. The slope of the given line is 3/2, so the angle it makes with the x-axis is arctan(3/2) ≈ 56.310°. We want a line that makes an angle of arctan(1/3) ≈ 18.435° with the given line, so its slope will be ...
tan(56.310° +18.435°) = tan(74.745°) = 11/3
The y-intercept of the desired line is given as (0, -3), so the equation of the line we want is ...
y = 11/3x -3
_____
Additional comment
The desired slope can be found using the formula for the tangent of the sum of angles. However, simply adding the angles on a calculator saves a lot of arithmetic. (Full precision values must be used.)
The line we have found is at the desired angle measured CCW from the point of intersection with the given line. If you allow the line to have that angle measured CW from the point of intersection, then the slope will be 7/9, and the equation will be ...
y = 7/9x -3
Jessica works 5 days a week at a factory 7.5 miles from her home.
She travels to and from work in her car which has a fuel consumption of 30 miles per gallon.
Fuel costs £1.14 per litre and there are 4.55 litres in a gallon.
It costs £2.50 to park her car each day.
Rounded to the nearest £1, how much does it cost Jessica to travel to work in her car for a week?
Answers
Answer:
£25
Step-by-step explanation:
total distance travelled per week = 2 * 7.5 * 5 = 75
amount of fuel used = 75/30 = 2.5 gallons = 11.375 litre
cost of fuel = 11.375 * 1.14 = 12.9675
total cost = 5(2.5) + 12.9675 = 25.4675 ~~ 25
Derive the explicit rule for the pattern: 3, 0, - 3, - 6, - 9, ...
Answers
Answer:
Step-by-step explanation:
a1 = 3
d = -3
an = a1 + (n - 1)*d
an = a1 + (n - 1)*-3
Try it
Let n = 5
a5 = 3 + (5 - 1)*-3
a5 = 3 + 4*-3
a5 = 3 - 12
a5 = - 9 which is exactly what it should be.
The interesting one to try is n = 2
a2 = a1 + (2 - 1)*-3
a3 = 3 + 1(-3)
a3 = 3 - 3
a3 =0
Which is exactly what the second term is. It's interesting because you would never guess that 0 is what you get.
A rectangular plot has 17 m length and 14 m width. What will be the cost
of fencing at a rate of Rs. 25 per metre?
Answers
Answer:
Step-by-step explanation:
perimeter=2(l+w)=2(17+14)=2(31)=62 m
cost of fencing=62×25=1550 Rs.
Keith may need some help from his manager. A customer is on the phone and she is really angry. She is threatening to post nasty comments on her blog. What should Keith say to his manager? O a) "She's angry. You deal with it." b) "So she's really angry. Her product never arrived. I think we should offer to send her a replacement product free of charge, but wanted your input." "So l'll tell her to calm down. I think she's overreacting. I doubt she'll post c) anything online." "She's really angry; she ordered the product last Wednesday, Don in customer d) service said it would arrive a week later. It was a dollhouse for her niece, Can you take it from here?"
Answers
Answer:
"She's really angry; she ordered the product last Wednesday, Don in customer service said it would arrive a week later. It was a dollhouse for her niece, Can you take it from here?" is the best option
Step-by-step explanation:
If 2 tacos and 5 drinks cost $20, And three tacos and five drinks cost $25 how much does a taco cost
Answers
This is because there was no difference in the cost except for $5. The only item added was one taco. Drinks cost $2 each.
The cost of each taco for the given problem is $5.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given that,
The cost of 2 tacos and 5 drinks cost is $20.
And, the cost of 3 tacos and 5 drinks cost is $25.
Suppose the cost of each taco and drink be x and y respectively.
Then the following equations can be written for the given case,
2x + 5y = 20 (1)
3x + 5y = 25 (2)
Subtract equation (1) from (2) to obtain,
3x + 5y - (2x + 5y) = 25 - 20
=> x = 5
Hence, the cost of a taco is $5.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
At the Olympic games, many events have several rounds of competition. One of these events is the men's 100100100-meter backstroke. The upper dot plot shows the times (in seconds) of the top 888 finishers in the semifinal round at the 201220122012 Olympics. The lower dot plot shows the times of the same 888 swimmers in the final round. A dot plot is divided into 2 parts labeled, Semifinal Round and Final Round. The horizontal axis is labeled, Time, in seconds, from 52 to 54, in increments of 0.10 second. The portion of the dot plot dedicated to Final Round has dots above the following points; 52.2, 52.3, 52.8, 53.1, 53.2, 53.3, 53.5, and 53.8. The portion of the dot plot dedicated to Semifinal Round has dots above the following points; 52.7, 53, 53.3, 53.3, 53.5, 53.5, 53.5, and 53.7. Which pieces of information can be gathered from these dot plots? (Remember that lower swim times are faster.)
Answers
Answer: None of the above.
Step-by-step explanation:
I got it right on khan. I’ll explain a little though. Semifinals median=47.05. Finals median=53.05. Therefore A is not and option and B is DEFINITLEY not an option. Sorry I’m not good at explaining
Answer:
None of the above
Step-by-step explanation:
Got it right on test
I need help please guys thank you
Answers
Answer:
Option A, the parent function has been translated up
Option B, the parent function has been compressed
Option C, the parent function has been translated to the right
Drug dosage is frequently based on a patient's weight. For example, 170 milligrams of a certain drug should be administered daily
for every 20 pounds of a patient's weight. Use this information to complete parts
a. What is the daily dosage for a woman who weighs 110 pounds?
Answers
Answer: 850.5 milligrams
Step-by-step explanation:
[tex]20*5= 850+.5=850.5[/tex]
That will be your answer please give me brainliest if you can!!!
Nedra worked 46 hours and received $6.25 per hour for regular pay and
time-and-a-half for all hours over 40 hours. What were her weekly
earnings?
a. $306.28
b. $379.50
c. $250
d. $56.28
Answers
Answer:
$306.25
Weekly earning,
6.25×40+6.25×6×1.5
= 306.25
