Answer:
.
Step-by-step explanation:
.
1. Find the distance between the points A(1,0) and B(0,0).
Answer:
1
Step-by-step explanation:
Since the y value is the same, we only need to find the distance between the x points
1-0 = 1
The distance between the point is 1
Answer : 1 unit.
Explanation: Since ( 0,0 ) is at 0 on the x axis, ( 1,0 ) is one unit to the right of 0, 1.
Identify the coefficients for the following quadratic equation.
2x squared minus 9x equals negative 4
a =
b=
c=
Answer:
2
Step-by-step explanation:
the number before the x² is regarded as the identity element
PLZ HELP ME AND IF U CAN XPLAIN
Answer:
B. 1/2
Step-by-step explanation:
Slope formula = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
[tex]\frac{(-4)-(-8) }{(6)-(-2)}[/tex]
[tex]\frac{4}{8}[/tex]
[tex]\frac{1}{2}[/tex]
3. a) Why is X3 is a polynomial but
[tex] \frac{7}{x {}^{2} } [/tex]
, is not a polynomial? write in your words.
Answer:
because the power of variable is -2
Step-by-step explanation:
polynomials are a combination of constant and variable or only variable, being that power of variable is always positive natural no.
7/x^2 denotes 7x^-2
A company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed.
STANDARD DELUXE
STAMPING 3 6
Motor installation 10 10
Wiring 10 15
The standard models contribute $20 each and the deluxe $30 each to profits. Because the Company produces other items that share resources used to make the dishwashers, the Stamping machine is available only 30 minutes per hour, on average. The motor installation Production line has 60 minutes available each hour. There are two lines for wiring, so the time Availability is 90 minutes per hour. Let x = number of standard dishwashers produced per hour y = number of deluxe dishwashers produced per hour.
Required:
a. Write the formulation for this linear program and then solve.
b. What is the value of the optimal profit ?
Complete Question
Complete Question is attached below
Answer:
[tex]M=160[/tex]
Step-by-step explanation:
From the question we are told that:
Standard models contribute $20
Deluxe models contribute $30
Availability Average :
Stamping machine S= 30 minutes per hour
Motor installation Production M=60 minutes
Wiring is W=90 minutes per hour
Generally the formulation of the linear program is given as
[tex]Maximium (M)=20x + 30 y[/tex]
Where
For Stamping machine
[tex]S= 3x + 6y \leq 30.....Equ 1[/tex]
For Motor installation Production
[tex]10x + 10y \leq 60....Equ 2[/tex]
For Wiring
[tex]10x + 15y \leq 90....Equ3[/tex]
Therefore
Solving Equ...(1,2,3) simultaneously we have
[tex]x=2\\\\y=4[/tex]
Therefore
[tex]Maximium\ (M)=20x + 30 y[/tex]
[tex]M=20(2)+30(4)[/tex]
[tex]M=160[/tex]
if 12 +2 =2 orderly what is 6 +3 orderly
Answer:
3
Step-by-step explanation:
Please Mark me brainliest
Answer:
aren't one of the numbers in the equations supposed to be negative?
How many titles are in the nth figure
A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. Construct a 90% confidence interval estimate of the difference between the proportion of men and women who believe that sexual discrimination is a problem. What is the lower limit?
Answer:
the lower limit is 35% women believed and 65% of men believed in serial discrimination
A restaurant is doing a special on burgers. If the home team get a sack, the next day, burgers will cost$1
Normally, they cost $3,99. If every fan who attended the game (86,047 people) buys a $1.00 burger, how™
money did the restaurant lose with this discount?
ans: 257,256.59
if it was sold for $3.99
it would have been 86,047 × $3.99 = 343,303.59 and it was sold for $1 instead so automatically it's $86,047
therefore
343, 303.59
-86, 047 which is equal to a loss of $257, 256.59
(07.04 MC)
Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30' with the ground, and the maximum height
to which it should rise is 2 meters, as shown below:
1
2 meters
30
What is the maximum length of the seesaw? (6 points)
Select one:
a. 3.00 meters
b. 3.5 meter
C. 4,00 meters
d 4.5 meters
The maximum length of the seesaw is option c 4.00 meters.
What is a right-angled triangle?A right-angled triangle is one in which one of the angles is equal to 90 degrees. A 90 degree angle is called a right angle, which is why a triangle made up of right angle is termed a right angled triangle.
What are hypotenuse, height of a right-angled triangle?A right-angled triangle has three sides- hypotenuse, base and height. Hypotenuse is the longest and also the opposite side of the right angle of the triangle, base and height of a right triangle are always the sides adjacent to the right angle.
How to measure the hypotenuse of a right-angled triangle?The formula for measuring the hypotenuse is,
Height / Hypotenuse = Sinθ , where θ is the angle opposite to the height of the triangle.
In the given question, the seesaw should make an angle of 30° with the ground and the maximum height it should rise is 2 meters so the height here is 2 meters. So the seesaw will make a right angled triangle.
Height = 2 meters, θ = 30°,
Now using the formula,
2 / Hypotenuse = Sin30°
Rearranging we get,
Hypotenuse = 2 / Sin30°
The value of Sin30° is 1/2 and putting the value we get,
Hypotenuse = 2 / (1/2)
= 2 × 2
= 4 meters.
Therefore, the maximum length of the seesaw (that is the hypotenuse ) is 4 meters.
To learn more about right-angled triangles and finding sides of it click here-brainly.com/question/10331046
#SPJ2
p(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).
Answer:
The polynomial is:
[tex]p(x) = -x^3 - 2x^2 + 5x + 6[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Zeros of −3, −1, and 2
This means that [tex]x_1 = -3, x_2 = -1, x_3 = 2[/tex]. Thus
[tex]p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]
[tex]p(x) = a(x - (-3))*(x - (-1))*(x-2)[/tex]
[tex]p(x) = a(x+3)(x+1)(x-2)[/tex]
[tex]p(x) = a(x^2+4x+3)(x-2)[/tex]
[tex]p(x) = a(x^3+2x^2-5x-6)[/tex]
Passes through the point (1,12).
This means that when [tex]x = 1, p(x) = 12[/tex]. We use this to find a.
[tex]12 = a(1 + 2 - 5 - 6)[/tex]
[tex]-12a = 12[/tex]
[tex]a = -\frac{12}{12}[/tex]
[tex]a = -1[/tex]
Thus
[tex]p(x) = -(x^3+2x^2-5x-6)[/tex]
[tex]p(x) = -x^3 - 2x^2 + 5x + 6[/tex]
Slope - 9; through (6,-9)
Answer:
Y= -9x+45
y = -9 X + b
-9 = -9(6) + b
-9 = -54 + b
b=45
Step-by-step explanation:
Help due today
No links
Answer:
-6
Step-by-step explanation:
Answer:
[tex]24 + x = 13 \\ x = 13 - 24 \\ x = - 11 \\ thank \: you[/tex]
Select the correct answer.
What is V200in simplest form?
OA. 2/10
OB.
1072
O C. 100/2
OD
20/10
Darot
Answer:
Step-by-step explanation:
If you mean √200, you cannot write it as V200.
√200 = √(10²×2) = 10√2
Answer:
B.) 2/10
Step-by-step explanation:
Simplify the radical expression.
3^√0.125b^3
A. -5b
B. -0.5b
C. 0.5b
D. 5b
A man earns RS.95 in a day how much does we earn in 18 days
Answer:
RS 17.10
Step-by-step explanation:
If they earn 0.95 a day, you can multiply that income by the number of days, which is 18.
RS 17.10
Change to cylindrical coordinates. 3∫−3 9-x^2∫0 9−x^2-y^2∫x^2+y^2 dz dy dx
I think the given integral reads
[tex]\displaystyle \int_{-3}^3 \int_0^{9-x^2} \int_{x^2+y^2}^{9-x^2-y^2} \mathrm dz\,\mathrm dy\,\mathrm dx[/tex]
In cylindrical coordinates, we take
x ² + y ² = r ²
x = r cos(θ)
y = r sin(θ)
and leave z alone. The volume element becomes
dV = dx dy dz = r dr dθ dz
Then the integral in cylindrical coordinates is
[tex]\displaystyle \boxed{\int_0^\pi \int_0^{(\sqrt{35\cos^2(\theta)+1}-\sin(\theta))/(2\cos^2(\theta))} \int_{r^2}^{9-r^2} r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta}[/tex]
To arrive at this integral, first look at the "shadow" of the integration region in the x-y plane. It's the set
{(x, y) : -3 ≤ x ≤ 3 and 0 ≤ y ≤ 9 - x ²}
which is the area between a paraboloid and the x-axis in the upper half of the plane. So right away, you know θ will fall in the first two quadrants, so that 0 ≤ θ ≤ π.
Next, r describes the distance from the origin to the parabola y = 9 - x ². In cylindrical coordinates, this equation changes to
r sin(θ) = 9 - (r cos(θ))²
You can solve this explicitly for r as a function of θ :
r sin(θ) = 9 - r ² cos²(θ)
r ² cos²(θ) + r sin(θ) = 9
r ² + r sin(θ)/cos²(θ) = 9/cos²(θ)
(r + sin(θ)/(2 cos²(θ)))² = 9/cos²(θ) + sin²(θ)/(4 cos⁴(θ))
(r + sin(θ)/(2 cos²(θ)))² = (36 cos²(θ) + sin²(θ))/(4 cos⁴(θ))
(r + sin(θ)/(2 cos²(θ)))² = (35 cos²(θ) + 1)/(4 cos⁴(θ))
r + sin(θ)/(2 cos²(θ)) = √[(35 cos²(θ) + 1)/(4 cos⁴(θ))]
r = √[(35 cos²(θ) + 1)/(4 cos⁴(θ))] - sin(θ)/(2 cos²(θ))
Then r ranges from 0 to this upper limit.
Lastly, the limits for z can be converted immediately since there's no underlying dependence on r or θ.
The expression above is a bit complicated, so I wonder if you are missing some square roots in the given integral... Perhaps you meant
[tex]\displaystyle \int_{-3}^3 \int_0^{\sqrt{9-x^2}} \int_{x^2+y^2}^{9-x^2-y^2} \mathrm dz\,\mathrm dy\,\mathrm dx[/tex]
or
[tex]\displaystyle \int_{-3}^3 \int_0^{\sqrt{9-x^2}} \int_{x^2+y^2}^{\sqrt{9-x^2-y^2}} \mathrm dz\,\mathrm dy\,\mathrm dx[/tex]
For either of these, the "shadow" in the x-y plane is a semicircle of radius 3, so the only difference is that the upper limit on r in either integral would be r = 3. The limits for z would essentially stay the same. So you'd have either
[tex]\displaystyle \int_0^\pi \int_0^3 \int_{r^2}^{9-r^2} r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta[/tex]
or
[tex]\displaystyle \int_0^\pi \int_0^3 \int_{r^2}^{\sqrt{9-r^2}} r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta[/tex]
A rocket is launched at t = 0 seconds. Its height, in meters above sea-level, is given by the equation
h = -4.9t2 + 112t + 395.
At what time does the rocket hit the ground? The rocket hits the ground after how many seconds
Answer:
Step-by-step explanation:
In order to find out how long it takes for the rocket to hit the ground, we only need set that position equation equal to 0 (that's how high something is off the ground when it is sitting ON the ground) and factor to solve for t:
[tex]0=-4.9t^2+112t+395[/tex]
Factor that however you are factoring in class to get
t = -3.1 seconds and t = 25.9 seconds.
Since time can NEVER be negative, it takes the rocket approximately 26 seconds to hit the ground.
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
At the grand opening of a store, the owner gave away stickers and T-shirts to some of the customers.
* A total of 180 customers visited the store at the grand opening.
* Every 10th customer received a free sticker.
* Every 25th customer received a free T-shirt.
a. What is the total number of customers who received a free sticker? Show or explain how you got your answer.
b. What is the total number of customers who received a free T-shirt? Show or explain how you got your answer.
c. What is the total number of customers who received a free sticker and a free T-shirt? Show or explain how you got your answer.
Answer:
[tex]thank \: you[/tex]
What is the volume of a cylinder with a radius of 2 ft and a height of 8 ft.
Use 3.14 for pi, round your answer to the nearest hundredth if necessary, and do not include units.
Answer:
100.48
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = 3.14 ( 2)^2 * 8
V = 3.14 (4)(8)
V = 100.48
the formula for finding the circumference of a circle with radius,r, is circumference= 2πr. What is the formula for the circumference of a circle with a radius r/2?
Answer:
πr
Step-by-step explanation:
radius = r/2
so circumference = 2π(r/2)
= 2πr/2
= πr
Answer:
The answer is B which is C=2πr
Step-by-step explanation:
i just did it
 Solve each system by graphing.
9514 1404 393
Answer:
(x, y) = (4, -4)
Step-by-step explanation:
A graphing calculator makes graphing very easy. The attachment shows the solution to be (x, y) = (4, -4).
__
The equations are in slope-intercept form, so it is convenient to start from the y-intercept and use the slope (rise/run) to find additional points on the line.
The first line can be drawn by staring at (0, -2) and moving down 1 grid unit for each 2 to the right.
The second line can be drawn by starting at (0, 2) and moving down 3 grid units for each 2 to the right.
The point of intersection of the lines, (4, -4), is the solution to the system of equations.
0.14 converted as a fraction simplest form.
Answer: 7 / 50
Step-by-step explanation:
Given
0.14
Convert to 100-denominator fraction
= 14 ÷ 100
= 14/100
Divide both numerator and denominator by 2
=(14 ÷ 2) / (100 ÷ 2)
=7 / 50
Hope this helps!! :)
Please let me know if you have any questions
If you draw one card at random, what is the probability that card is a (n) Heart?
Answer:
1/13
Step-by-step explanation:
There are 52 cards in a deck of cards and 13 of them are hears
P(heart) = hearts / total
= 13/52 = 1/13
Anyone knows the answer?
Please!
Answer:
C
Step-by-step explanation:
sin(theta)=7/8, theta=arcsin(7/8)=61
Ted and Katie have saved up a total of $94. Ted has saved 6 dollars less than 4 times as much as Katie. How much has Katie saved
Let
Kettie saved be xTed saved=4x-6ATQ
[tex]\\ \sf\longmapsto x+4x-6=94[/tex]
[tex]\\ \sf\longmapsto 5x-6=94[/tex]
[tex]\\ \sf\longmapsto 5x=94+6[/tex]
[tex]\\ \sf\longmapsto 5x=100[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{100}{5}[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
Answer:
$20
Step-by-step explanation:
T is Ted
K is Katie
T+K=94.
T=4K-6
I mostly just tried a bunch of numbers.
To check:
T+20=94
T=74
74=4(20)-6
74=80-6
74=74
I hope this helps!
pls ❤ and give brainliest pls
Two years ago the population of a town was 40000. The population of the town at present has reached 44100. Calculate the population growth rate of the city.
Answer:
5% annual population growth rate
Step-by-step explanation:
Let the percent the population grows by be [tex]X\%[/tex]. The total population, [tex]f(x)[/tex], after [tex]t[/tex] years can be modeled by the function:
[tex]f(x)=40,000\cdot (\frac{X}{100}+1)^t[/tex]
Why?
Let's take a look at a simple example. If we said a number [tex]n[/tex] grew by 10%, we could represent the number after it grew by multiplying [tex]n[/tex] by [tex]1.10[/tex]. This is because growing by 10% is equivalent to taking [tex]100\%+10\%=110\%[/tex] of that number and we convert a percentage to a decimal by dividing by 100.
Therefore, if the population grew [tex]X\%[/tex], we would divide it by 100 to convert it to a decimal, then add 1 (100%) and raise to the power of [tex]t[/tex] (number of years) to multiply by the initial population of 40,000 to get the total population after [tex]t[/tex] years.
Since the population of the town after two years is 44,100, substitute [tex]f(x)=44,100[/tex] and [tex]t=2[/tex] into [tex]f(x)=40,000\cdot (\frac{X}{100}+1)^t[/tex]:
[tex]44,100=40,000\cdot (\frac{X}{100}+1)^2,\\\\(\frac{X}{100}+1)^2=\frac{44,100}{40,000},\\\\(\frac{X}{100}+1)^2=1.1025,\\\\(\frac{X}{100}+1)^2=\pm \sqrt{1.1025},\\\\\begin{cases}\frac{X}{100}+1=1.05,\frac{X}{100}=0.05, X=\boxed{5\%},\\*\text{negative case is extraneous since X must be positive}\end{cases}[/tex]
Therefore, the city has an annual population growth rate of 5%.
What is the key difference between simple interest and compound interest, and how does this difference affect the effectiveness of each? PLSSS HELP I HAVE ONE DAY LEFT
Answer:
The key difference between simple interest and compound interest is that in simple interest, the interest is calculated based on the principal amount of the loan.
The formula is principal multiplied by time by rate divided by 100.
Compound interest on the other hand, has to do with the principal amount and accumulated interest on previous periods.
The difference affects the effectiveness of each because in SI, interest is calculated once, while in CI, there's accumulated interest.
If you only have a
1
6
cup measuring cup and a recipe calls for
15
1
6
cups of flour, how many 1/6 cups would you need to use?
Hi! I'm happy to help!
To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:
15[tex]\frac{1}{6}[/tex]÷[tex]\frac{1}{6}[/tex]
This problem is hard to do with mixed numbers, so we need to turn 15[tex]\frac{1}{6}[/tex] into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra [tex]\frac{1}{6}[/tex].
(15×6)+1
90+1
91
So, our improper fraction would be[tex]\frac{91}{6}[/tex], now, let's solve.
[tex]\frac{91}{6}[/tex]÷[tex]\frac{1}{6}[/tex]
It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.
[tex]\frac{91}{6}[/tex]×[tex]\frac{6}{1}[/tex]
Now, we just multiply the top by the top, and bottom by the bottom.
[tex]\frac{546}{6}[/tex]
We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.
[tex]\frac{91}{1}[/tex]
Anything over 1, is just a whole number
91.
Therefore, the recipe should require 91 uses of the 1/6 cup.
I hope this was helpful, keep learning! :D
If f(4x-15)=8x-27,find f(x)?
Answer:
If we put x=17/4
f(4×17/4-15)=8×17/4-27
f(2x=34-27
f(x)=7.
Hope i helped you.