Answer:
12 belongs in the rational numbers, integers, and whole numbers
Step-by-step explanation:
12 is a whole number so it belongs in every category that has whole numbers.
I need help finishing a question. I used the explanation function on the program, but it didn't specify what to do to get the final answer. I have attached a picture.
"Find the real solutions. Use the quadratic formula and a calculator."
At the last step, it said to use a calculator to see if the solutions satisfy the equation, but does that mean I need to plug in the whole thing for each x in the original equation? That would take a long time. I tried punching the "(1 plus or minus sqrt (1 + 160pi^2)) / 2" into my calculator, but the answers I got were wrong.
I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337
Add this to 1 and we have 40.75093337
Then divide over 2pi to get a final approximate result of 6.48571248
So x = 6.48571248 is one approximate solution
In short, I computed [tex]\frac{1+\sqrt{1+160\pi^2}}{2\pi}[/tex] only focusing on the plus for now.
----------------------
If you were to compute [tex]\frac{1-\sqrt{1+160\pi^2}}{2\pi}[/tex] you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.
Answer:
x = 6.49
Step-by-step explanation:
1st is to calculate [tex]\sqrt{1 + 160 pi^2}[/tex] = 39.75 then add 1 = 40.75
2nd divide it by 2pi = 40.75/(2pi) = 6.49
therefore your x = 6.49
the equation would look like
1 ± [tex]\sqrt{1 + 160 pi^2}[/tex] 1 ± 39.75
= -------------------------- = ---------------- = 6.49
2*pi 6.28
Solve for . 5w-26=-4(w-7) Simplify your answer as much as possible. PLZ HELP
Answer:
w = 6
Step-by-step explanation:
5w-26 = - 4 (w - 7) multiply -4 through
5w - 26 = - 4w + 28 add 4w to each side to cancel it out on the right
5w + 4w - 26 = 28
9w - 26 = 28 Now add 26 to each side
9w - 26 + 26 = 28 + 26
9w = 54 Now divide each side by 9
(9w)/9 = 54/9
w = 6
Some fireworks are fired vertically into the air from the ground at an initial velocity of 24.5 meters per second. Find the highest point reached by the firework – just as it explodes. Include your equation in your response. Don't forget to include units!
Answer:
The highest point reached by the firework is approximately 30.6 meters
Step-by-step explanation:
The upward velocity of the fireworks is given as 24.5 m/s
The equation of projectile motion for an object fired vertically upwards can be written as follows;
v² = u² - 2·g·s
Where;
v = The final velocity of the motion = 0 m/s at maximum height
u = The final velocity of the motion = 24.5 m/s
g = Acceleration due to gravity = 9.81 m/s²
s = The height reached = (The highest point reached by the firework)
By substituting the values, we have;
(0 m/s)² = (24.5 m/s)² - 2 × 9.81 m/s² × s
Which gives;
2 × 9.81 m/s² × s = (24.5 m/s)² = 600.25 m²/s²
19.62 m/s² × s = 600.25 m²/s²
s = 600.25 m²/s²/(19.62 m/s²) = 30.594 m ≈ 30.6 meters
The highest point reached by the firework is approximately 30.6 meters
The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is 1/4
of the way from A to B?
Answer:
[tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]
Step-by-step explanation:
Given
A = (4,-2)
B = (12,-10)
Ration = 1/4
Required
Determine the coordinate of point at 1 million buys
The formula to use is as follows:
[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where m and n are the ratios
i.e.
[tex]\frac{m}{n} = \frac{1}{4}[/tex]
Convert to ratios
[tex]m:n = 1:4[/tex]
Considering A(4,-2) and B(12,10); we have
[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
[tex](x,y) = (\frac{1 * 12 + 4 * 4}{4+1},\frac{1*10 + 4*-2}{4+1})[/tex]
[tex](x,y) = (\frac{12 + 16}{5},\frac{10 -8}{5})[/tex]
[tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]
Hence, the coordinate of the point is [tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]
what is 65550 times 43343
Find the values for k so that the intersection of x = 2k and 3x + 2y = 12 lies in the first quadrant. PLEASSSSEEEE
Answer:
0< k < 2
Step-by-step explanation:
x = 2k
3x + 2y = 12
Substitute the first equation into the second equation
3(2k) +2y = 12
6k+2y = 12
Subtract 6k from each side
2y = 12 -6k
Divide by 2
y = 6 - 3k
For this to be in the first quadrant y > 0
6 - 3k > 0
6 > 3k
Divide by 3
2 > k
The lower limit is when it reaches the axis or when k=0
0 <k <2
Checking for x
x = 2k
If 0<k <2 then it will be in the first quadrant
Answer:
k = any value between 0 and 2
Step-by-step explanation:
We can start by considering the graph of 3x + 2y = 12. If you convert this line into point - slope form it will have a negative slope, and hence will extend infinitely in the negative direction. Therefore if we calculate the x - intercept, k will be bound by 0 to the x - intercept if their intersection lies in the first quadrant.
3x + 2y = 12,
3x + 2(0) = 12,
3x = 12,
x = 4 - this is the x - intercept
As x = 4 is the x - intercept, k can be any value between 0 and 4, and will lie in the first quadrant. But remember that we have the equation " x = 2k. " k will only be between 0 and 4 is the equation is " x = k. "
- Therefore k will instead be any positive value between 0 and 2.
What is the answer ?
third picture shows cube root of 64=4
why
[tex] \frac{1}{ \sqrt{3 } - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1} = \frac{1 + \sqrt{3} }{2} [/tex]
why not 1+✓3 ?
Answer:
Hey there!
When multiplying fractions, we multiply the numerator by the numerator, and denominator by denominator.
1 x [tex]\sqrt{3}+1[/tex] = [tex]\sqrt{3}+1[/tex]
[tex]\sqrt{3} -1 (\sqrt{3} +1)[/tex] = 2
Thus, the answer is ([tex]\sqrt{3}+1[/tex])/2
Let me know if this helps :)
cade ate 14 slices of pizza. He ate 4
more than Dre. How many slices of
pizza did Dre eat?
Answer:
Pretty sure it's 10
PLEASE HELP MEEEEE!!!
Answer:
y = 5 units
Step-by-step explanation:
It is given from the image that both the polygons are similar.
Corresponding sides of the similar polygons will be proportional.
By this property ratio of the sides of the given polygons will be,
[tex]\frac{4}{x}=\frac{z}{9}=\frac{2}{6}=\frac{3}{w}=\frac{y}{15}[/tex]
We have to find the value of y.
Therefore, we will take the ratio,
[tex]\frac{2}{6}=\frac{y}{15}[/tex]
y = [tex]\frac{2\times 15}{6}[/tex]
y = 5
Measure of side y = 5 units will be the answer.
Suppose that PR=47. Solve for x and find the lengths of PQ, and QR.
Please show all work and not just the answers.
Answer:
×=7, pq=27, qr=20.
Step-by-step explanation:
(4x-1)+(3x-1)=47 therefore 7x-2=47 or 7x=49 and x=7, pq=4x-1=27, qr=3x-1=20.
173.45 = 1.7345 × 10? missing number
[tex]173.45 = 1.7345 × {10}^{2} [/tex]
missing number should be 2
hope this helps ^-^
The expression, 20(4x) + 500, represents the cost in dollars of the materials and labor needed to build a square fence with side length x feet around a playground. What is the meaning of the coefficient 20?
Answer:
20 represent the cost per variable inputs
Step-by-step explanation:
C(x) = 20(4x) + 500
Total cost is the addition of variable cost and fixed cost
Fixed cost are cost that do not change during the production process such as machinery, furnitures and fittings.
Variable cost are cost of production that changes with production process such as cost of labor, cost of raw materials.
C(x) = 20(4x) + 500
C(x) represent the total cost
20(4x) represent the variable cost
500 represent the fixed cost
From the variable cost 20(4x)
20 represent the cost per variable inputs
Solve using the quadratic formula. Write answers as an exact value and as a decimal rounded to the nearest hundredth.
4r2 + 8r + 1 = 0
Answer:
[tex]\frac{-2±\sqrt{3} }{2}[/tex]
dec form: -0.13
Step-by-step explanation:
In the space below, identify the rate of change using the statement: The rate of change is
for each
2
Pizzas Ordered
2
3
4
Total Cost
$19.98
$29.97
$39.96
Answer:57465
Step-by-step explanation:
Suppose you want to throw a party. you have $214 to spend. so far you have purchased 5 decorations that each cost d dollars. which expression represents the amount of money that you have left to spend?
Answer: 214 - 5d
Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.
Answers:
1) You buy 2 equally priced party favors, spending from your $7.65 gift card.
4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.
You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among G guests, which expression represents the number of slices that each guest will eat?
Answer: 12/g
(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020
4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.
5th: m + 2m - s
6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.
7th: n - (1/4)n - 15
8th: 12n/r
9th: (x+3)/5
10th: (3r)/2 is what the second DJ had. 3 times as many songs as 3r and half as many is translated as division to 2 so half as many is translated as multiplication by 1/2. So therefore, the second DJ had (3r)/2 songs.
Answer: 214 - 5d
Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.
Answers:
1) You buy 2 equally priced party favors, spending from your $7.65 gift card.
4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.
You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among G guests, which expression represents the number of slices that each guest will eat?
Answer: 12/g
(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020
4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.
5th: m + 2m - s
6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.
7th: n - (1/4)n - 15
8th: 12n/r
9th: (x+3)/5
10th: (3r)/2 is what the second DJ had. 3 times as many songs as 3r and half as many is translated as division to 2 so half as many is translated as multiplication by 1/2. So therefore, the second DJ had (3r)/2 songs.
Step-by-step explanation:
Answer:
214-5d
Step-by-step explanation:
How do I simplify this question 2y+4-13-y
Answer:
Y=9
Step-by-step explanation:
Answer:
Y=9 is your answer
Derek is purchasing lunch meat for the class picnic. There are 300 people attending the picnic. Derek expects that for every 10 people 11 sandwiches will be eaten and that 20 pounds of meat will make 90 sandwiches. How much lunch meat should Derek buy? 73 1/3 pounds 330 sandwiches 67 2/3 pounds 110 pounds
Answer:
Derek will buy 73 1/3 pounds of lunch meat to make 330 sandwiches
Step-by-step explanation:
People at the picnic = 300
For every 10 people 11 sandwiches will be eaten
Total sandwiches eaten by 300 people = 300/10 × 11
= 30*11
= 330 sandwiches
330 sandwiches will be eaten at the picnic
20 pounds of meat will make 90 sandwiches.
90/20 = 330/x
Cross product
90x = 330*20
90x = 6,600
Divide both sides by 90
x= 73 1/3
Derek will buy 73 1/3 pounds of lunch meat to make 330 sandwiches
73 1/3 pounds 330 sandwiches
A cell phone plan costs $30 per
month for unlimited calling plus $0.15
per text message. If you send 200 text
messages, how much would you pay
according to this cell phone plan ( can someone show me how to solve this step by step ? )
Hi :)
If a cell phone plan costs 30 per month and charges 15 cent per text message and 200 text messages were sent,
The base charge is 30 dollars, multiply 0.15 by 200
30 + (0.15 * 200)
30 + (30)
For this month,
$60
Hope this helps,
Jeron
P.S (brainliest? only if you think i really helped you)
What is the value of x in the equation 1/2x - 2/3y=30 when y =15
Answer:
x=20
Step-by-step explanation:
Substitute 15 for y
it will be 2/3 multiplied by 15 then you get 10
you add 10 to 30 getting 40
then you divide 40 by 1/2 getting 20
:)))
Answer:
x = 80
Step-by-step explanation:
First, plug the 15 into the y.
[tex]1/2x - 2/3(15) = 30[/tex]
Use PEMDAS to solve the parentheses, 2/3 of 15 is 10.
[tex]1/2x - 10 = 30[/tex]
Add 10 to both sides of the equation.
[tex]1/2x = 40[/tex]
Divide each side by 1/2 (or multiply by it's reciprocal, which is 2)
That will get you your answer of x = 80
Hello please help, thank you!!
Step-by-step explanation:
3x+5>-10
3x-5+5>-10-5
3x>-15
x>-15/3
x>-5
Hurry maximum points!!
Answer:
Three collinear points
Step-by-step explanation:
AC's length has been given to us as 15 units and AB is 10 units so to find BC you will need to subtract AC from AB
so let's subtract
15-10
= 5 units
So , BC is 5 units !
option C!!!
Answer:
C. 5 UNITSStep-by-step explanation:
10 BC
A-----------B--------------C
|<-----------15------------>|
10 + BC = 15
BC = 15 - 10
BC = 5 UNITSPLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!!
Choose one value that is in the domain of both ( ) = 2and 2 = and that is greater than 0. Substitute that value into ( ) = 2and 2 = and then simplify. Explain how your answers help to show that the graph on the left represents a function while the graph on the right represents a relation. Show your work and use function notation where possible
(ignore the little checks on the graph lol)
Heres a Simple Answer:
1. The one on the left follows the Vertical Line test, while the one on the right doesn't
2. A function is either y = mx+b, or a Nonlinear function. The one on the right is a Parabolic Function becuase it has the x^2 on it. The right one is y^2, which is not a function.
(Not very good, but I gtg so I rushed.)
Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x - 3
Answer:
x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
f(x) = [tex]\frac{x-4}{2x-3}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Thus x = [tex]\frac{3}{2}[/tex] is the vertical asymptote
What is 18 3/8 as a decimal I really need help
Help...!!!!!!!!
Please...!!!!!!!!!
It’s for today...!!!!!
2c - 49 -200 for problem a
c + 64c -200 is problem b
Situation 1: Two students, Theo and Lance, each have some chocolates. They know that
they have the same number of chocolates. Theo has four full bags of chocolates and five
loose chocolates. Lance has two full bags of chocolates and twenty-nine loose
chocolates.
Determine the number of chocolates in a bag. Determine the number of chocolates each
child has.
They each have two chocolates so those numbers of chocolates are the same.
Not counting the tubs, Arthur has one bag of chocolates and 25 loose chocolates; Oliver has two bags and 7 loose. If they both have the same total number of chocolates, then the difference in the number of loose chocolates they have (25-7=18) must be the number of chocolates in a bag.
There is no information given, in the problem as you show it, that allows us to determine the number of chocolates in a tub.
Answers: chocolates in a bag: 18. chocolates in a tub: unknown.
All questionshzbzbzbz
Look at the screenshot below and please try to answer!!
Answer:
4th and 5th figures are attached below. There would be about 400 dots in the 100th figure.
What is 4.5(5.6*2)+1.2?
Hi there! Hopefully this helps!
---------------------------------------------------------------------------
Answer: [tex]\boxed{51.6}[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]4.5(5.6 \times 2) + 1.2[/tex]
Multiply 4.5 and 5.6 to get 25.2.
[tex]25.2 \times 2 + 1.2 = 51.6[/tex]
Multiply 25.2 and 2 to get 50.4
[tex]50.4 + 1.2 = 51.6[/tex]
Add 50.4 and 1.2 to get, you guessed it, 51.6![tex]\boxed{51.6}[/tex]
To solve this, we will first use order of operations to multiply the terms inside the parentheses, multiply the product by the term outside of the parentheses, and then add from left to right.
5.6 * 2 = 11.2
11.2 * 4.5 = 50.4
50.4 + 1.2 = 51.6
Therefore, 51.6 is the solution.