Answer:
[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
Step-by-step explanation:
Let be x the first number and y the second number.
So we have:
[tex]x+y=-9[/tex] (1)
[tex]x*y=-30[/tex] (2)
Solve x from equation 1 and put it into equation 2
[tex]x=-9-y[/tex]
[tex](-9-y)*y=-30[/tex]
[tex]-9y-y^{2}=-30[/tex]
[tex]y^{2}+9y-30=0[/tex]
Solving this quadratic equation and put it on the equation (1) the solutions will be:
[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
I hope it helps you!
add 8/9 + 7/9 Simplify the answer and write as a mixed number.
Answer:
[tex]1\frac{6}{9}[/tex]
Step-by-step explanation:
[tex]\frac{8}{9}+\frac{7}{9}[/tex]
[tex]\frac{8+7}{9}=\frac{15}{9}=1\frac{6}{9}[/tex]
the circle below is centered at (10, 4) and has a radius of 4. what is its equation?
Answer:
The equation of the circle is
Formula :
(x- h ) ² + (y-k )² = r²
or, x²-20x +100 + y² -8y + 16 = 16
or, x² + y² -20x -8y + 100 = 0 is the required equation
A factory employs 200 men and 50 women. 80 of the men are each paid $100, the rest are paid $80 and the women are paid $50, what is the total wage bill.
Which of the following is an equation of the line that passes through the point (1, 1) and has a slope of 2?
Answer:
You didn't provide " the following" from which to choose.
Here are two solutions
y = 2x - 1
y - 1 = 2(x - 1)
Help
Will
Give
BRIANLIST
Answer
if i made 11$ an hour working at publix how much would i have in 4 year's?
i need to know because me and my friend plan to work at publix as soon as we turn 14 and in 4 year's when we turn 18 we want to have enough to move into an apartment/house right away
Answer:
40*52*11*4 = $91,520
But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.
Step-by-step explanation:
Answer: $385440 if you work non stop, for every hour of those 4 years
Step-by-step explanation: 24 hours in a day, 24*365=8760
8760*4=35040 total hours.
Now if we multiply that by 11, because you get 11 dollars an hour,
35040*11= $385440 in total
But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.
Complete the expanded form of this number.
62,719
Enter numbers from greatest to least place value starting on the left.
6,0000 + 2,000 + 700 + 10 + 9
Al lanzar un dado dos veces consecutivas. ¿Qué probabilidad hay de obtener primero un 3 y luego un numero par?
Answer:
The probability is 1/12.
Step-by-step explanation:
Number of elements in sample space is 6 . Even numbers are 2, 4 and 6 so the there are 3 three even numbers.
So, the probability of getting 3 on the first chance and then an even number in the second chance is
[tex]P = \frac{1}{6}\times \frac{3}{6}\\\\P = \frac{1}{12}[/tex]
Find the area of the following composite figure please
Step-by-step explanation:
answer is in photo above
3p²q - 6pq² help me please .
3p²q - 6 pq²
3pq (p - 2q )
I think this is the solution
The length of a rectangle is 5m longer than the width. The perimeter of the rectangle is 82m. Find the length and the width of the rectangle. *
Answer:
+ 5 = length 2x + 2(x + 5) = 38
You can identify sample spaces for compound events using organized lists, tables, and tree diagrams. Which of the three methods do you find easiest to use? Which method is the most helpful? Why? Use the Internet or another resource to find the definition of the Fundamental Counting Principle. What does this principle state? How can the principle be used to help you identify a sample space for a compound event? What are the limitations of using the Fundamental Counting Principle when determining the probability of an outcome? Support your answers with an example.
The fundamental counting principle is used to count the total number of possible outcomes that are in a situation.
What does the fundamental counting principle state?The fundamental counting principle states that if there are n ways of doing something, as well as m ways of doing another thing, then there are n×m ways to perform both of these actions.
The Fundamental Counting Principle helps when determining the sample space of probability as it figures out the total number of ways the combination of events can occur. Therefore, it is used as a guide when determining the sample space of a probability.
Lastly, the limitation is that the Fundamental Counting Principle is that it assumes that each basic event is equally probable, which does not necessarily have to be true.
Learn more about counting principle on:
https://brainly.com/question/24358027
Answer:
The fundamental counting principle is used to count the total number of possible outcomes that are in a situation
Step-by-step explanation:
(2x–y)²–(y+2)²-----------
Answer:
4x² -4xy -4y -4
Step-by-step explanation:
[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
In this case, a= 2x -y and b= y +2.
(2x -y)² -(y +2)²
= (2x -y +y +2)[2x -y -(y +2)]
= (2x +2)(2x -y -y -2)
= (2x +2)(2x -2y -2)
= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)
= 4x² -4xy -4x +4x -4y -4
= 4x² -4xy -4y -4
Alternatively, start by expanding the brackets.
[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]
[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]
(2x -y)² -(y +2)²
= 4x² -4xy +y² -(y² +4y +4)
= 4x² -4xy +y² -y² -4y -4 (expand)
= 4x² -4xy -4y -4 (simplify)
A cell phone company wants to determine the average amount of data that their smart phone customers use each month. Which group would best represent a sample of the population?
one thousand of their customers with the most expensive monthly plans
one thousand of their customers who most recently signed up with the company
one thousand of their customers with a current smart phone data plan
one thousand of their customers who called in for technical support
The group that best represents a sample of the population is one thousand of their customers with a current smart phone data plan.
What is the appropriate sample of the population?
A sample is a smaller representative group of the population. A sample is used as it might not be feasible or cost effective to access the whole population.
The appropraite sample should be representative of the whole population of customers.
To learn more about sample, please check: https://brainly.com/question/18521835
The group that would best represent a sample of the population is given by: Option C: one thousand of their customers with a current smart phone data plan.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).
We've to collect sample in such a way that we can get a widespread view of the population (all customers). We want to do sampling for getting the average amount of data that their smart phone customers use each month.
Option A, B and D are choosing those customers, which are like a special part of the customers, and not an overall coverage of the customer the cell phone company has.
But option C covers assumingly all sorts of customers who use internet data.
Thus, the group that would best represent a sample of the is given by: Option C: one thousand of their customers with a current smart phone data plan
Learn more about sampling here:
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PLEASE HELP DUE TOMORROW
you dont need the other part its just the same question but different
Answer:
for the firt one the patters is +6 +7 +8 +9
Step-by-step explanation:
Please help me ASAP
Answer:
no
Step-by-step explanation:
no
Please help me ASAP
Answer:
4. =3 ft
5. 2/1.25 lb
Answer:
4) 3 ft = 36in ⇔ [tex]\frac{36in}{12in}[/tex] = 3 inches
5) 2 lb = 32 oz ⇔ [tex]\frac{32oz}{20oz}[/tex] = 1.6 oz
ifthe radius of a cylinder is 4cm and height is 10cm, then the total surface area
Answer:
SA = 112π cm²
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
r = 4 cm
h = 10 cm
Step 2: Find Surface Area
Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(4 cm)(10 cm) + 2π(4 cm)²Evaluate exponents: SA = 2π(4 cm)(10 cm) + 2π(16 cm²)Multiply: SA = 80π cm² + 32π cm²Add: SA = 112π cm²In triangle CVR, the midpoint of segment CR is S and the midpoint segment CV is T. What term can be used to describe segment ST
a. angle bisector
b. chord
c. midsegment
d. perpendicular bisector
Answer:
C. Midsegment
Step-by-step explanation:
A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.
The picture below is just an example of what midsegments look like. If you draw out triangle CVR, put points in between CR and CV, and draw a line connecting the two points. You'll see that it looks exactly like a midsegment.
The term "midsegment" is being used to denote the ST segment.
A midsegment is a line that connects the midpoints of 2 triangle edges. A triangle's midsegment is half the size of the triangle's 3rd side and runs parallel to it.
If we create a triangle CVR, insert points across CR and CV, and link the two points with a line.
So, Option "C" is the correct answer to the following question.
Learn more:
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Which is greater than 4?(show work)
(a) 5,
(b) -5,
(c) -1/2,
(d) -25.
Answer:
Letter A) 5
Step-by-step explanation:
all the other answers are negative so they are less than 4.
5 comes after 4 so 5 is greater than 4.
Hope this is helpful
There are five peanut brittle to every two chocolate if there is a box of 28 sweets how many cholocate are there
Answer:
8 chocolates
Step-by-step explanation:
im not really good at math and didnt use an equation but if you add 5 and 2 together until 28 and then count up how many 2's you added, you should get the answer! sorry if this isnt helpful <3
cos 45°×tan 60°/cot 30° find the value
explain by step by step pls :( if u type something wrong ill report u
Answer:
∠ C = ∠BCD = 30°
Step-by-step explanation:
∠ EDF = ∠GFC = 110° [ corresponding angles ]
Now consider triangle BCF
∠FBC + ∠ABC = 180° [ straight line angle ]
∠FBC + 100° = 180°
∠FBC = 180 - 100 = 80°
∠BFC + ∠GFC = 180° [ straight line angle ]
∠BFC + 110° = 180°
∠BFC = 180 - 110 = 70°
Sum of angles of triangle is 180°
Therefore , in triangle BCF
That is ,
∠F + ∠B + ∠ C = 180°
70° + 80° + ∠C = 180°
∠C = 180 - 150 = 30°
Find the direct variation equation
Answers:
The direct variation equation is y = 5xIf x = 4, then y = 20=================================================
Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
-------------
Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
Answer:
20
Step-by-step explanation:
if y varies directly with x, then it takes the form y=mx
to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5
then the equation becomes y=5x
substitute in the value they gave for x which is 4 to get y=5*4
to get that y=20
assume that supply function is p=c+dQ.When the price per unit of a product is Rs.60,the quantity supplied is 400 but when the price per unit increases to Rs.80,the quantity supplied increases to 600.Find the values of c and d.Also, find the relation between P and Q
is it like this pls don't mind how I snap it
An empty container has a capacity of 60000 liters to 1 s.f. Tony pours in 5400 liters of water to 2 s.f. He says he filled more than 10 % of container is he correct ? Show working
Answer:
Tony poured is 9% of the total
Step-by-step explanation:
Given data
The capacity of the container= 60000 liters
Amount of water that tony pours= 5400 liters
Let us compute the percentage to know if it is up to 10%
= 5400/60000*100
=0.09*100
=9%
Hence the amount of water Tony poured is 9% of the total
Answer:
He is wrong
Step-by-step explanation:
60 000 LB=55000
60 000 UB=65000
5400 LB= 5350
5400 UB=5450
65000x0.10=6500
55000x0.10=5500
he is wrong
In a game for 24 groups, the average number of children was 16. When one more group of children was formed to join in the game, the average number of children became 18. The number of boys to girls who had just joined in the game was in the ratio 5:6. If there were 220 boys at first, how many more boys than girls were in the end?
Answer:
50 boys
Step-by-step explanation:
The number of groups = 24
The average number of children = 16
The new average number of children when one group is added = 18
The ratio of boys to girls in the group that just joined = 5:6
The initial number of boys = 220
Let the initial number of children
The initial total number of children = 24 × 16 = 384
The initial number of girls = 384 - 220 = 164
The final number of children = 25 × 18 = 450
The number of children in the group that joined in the game = 450 - 384 = 66
The ratio of boys to girls in the group = 5:6
Therefore, we get;
The number of boys = 66 × 5/11 = 30
The number of girls = 66 - 30 = 36
The number of boys at the end = 220 + 30 = 250
The number of girls at the end = 164 + 36 = 200
The number of more boys than girls at the end = 250 - 200 = 50
The number of more boys than girls at the end = 50 boys
what is the slandered form of equation y = -3/2 x + 5
Answer:
Ax+By=C
Step-by-step explanation:
basically the standard form of any linear equation, y=mx+b. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y-intercept (where x is 0 on the line).
Bonus Question:
a. Consider the function f(x) = ax^2 + c
Find f'(x)
b. Point A (-2, 5) lies on the graph of y = f(x).
The gradient of the tangent to this graph at A is -6. Find the value of a.
c. Find the value of c.
Please answer this question and please show your work too. Anyone who is able to do this correctly will receive 50 points from me. (This assignment is about Derivatives)
Answer:
I'm not sure what to do not doing this in skl
A number is multiplied by 2, and then 5 is subtracted. The result is 43.
Answer: The answer is 7.
