Answer:
14
Step-by-step explanation:
6+a=20
a=20-6
a=14
A. a scientist is studying the change in population for two species of fish in a lake. The table shows how the numbers of each species changed during a 4-year period.
YEAR: 1; 2; 3; 4
FISH A: 500; 520; 540; 560; 580
FISH B: 400; 430; 460; 490; 520
The scientist uses a linear model to predict future populations of both fish. Explain why, given the data in the table, population of fish A and the population of fish B can be modeled using linear equations.
Answer:
The data can be modeled using linear equatins, because there's the same amount of population for fish A (+20 per year) and fish B (+30 per year) every year.
Find angle picture below
Answer:
Angle C = 28°
Angle D = 59°
Angle DEC = 63°
4x -(9 - 3x) = 8x -1
Answer:
x = -8
Step-by-step explanation:
4x - (9 - 3x) = 8x - 1
remove parenthesis
4x - 9 + 3x = 8x - 1
add 9 to both sides
4x + 3x = 8x + 8
subtract 8x from both sides
-x = 8
x = -8
The solution to the equation 4x - (9 - 3x) = 8x -1 is x = -8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
4x - (9 - 3x) = 8x -1
Open the brackets
So, we have
4x - 9 + 3x = 8x - 1
Evaluate the like terms
So, we have the following representation
7x - 9 = 8x - 1
Next, we have
8x - 7x = 1 - 9
So, we have
x = -8
Hence, the solution is x = -8
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solve t(3+4) if t= 7
Answer:
=49
Step-by-step explanation:
7(3+4) substitute 7 into t
7(7) add numbers in brackets bec of BODMAS
49
Plot the x-intercepts and make a sign chart that represents the function shown below
Step-by-step explanation:
step 1. the x intercepts (called zeros) are where y = 0 or where the graph is on the x axis
step 2. the zeros are -3, 0, 2, 5.
step 3. therefore there are 5 intervals
step 4. ( ,-3) - f(x) = "-"
step 5. (-3, 0) - f(x) = "+"
step 6. (0, 2) - f(x) = "+"
step 7. (2, 5) - f(x) = "-"
step 8. (5, ) - f(x) = "+".
A function assigns the values. The x-intercept for the given function is -3, 0, 2, and 5.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function can be rewritten as,
f(x) = x²(x-5)(x+3)³(x-2)
f(x) = (x-0)² (x-5) (x+3)³ (x-2)
Now, the value of x in the given function, or the x-intercept can be found by substituting the value of the factors of function as 0.
0 = (x-0)² (x-5) (x+3)³ (x-2)
(x-0)² = 0
x = 0
x-5 = 0
x = 5
x+3 = 0
x = -3
x - 2 = 0
x = 2
x = -3, 0, 2, 5
Hence, the x-intercept for the given function is -3, 0, 2, and 5.
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final solution to the system of equations given below
x=-4
5x+4y=-10
Answer:
(-4, 5/2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Coordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x = -4
5x + 4y = -10
Step 2: Solve for y
Substitution
Substitute in x: 5(-4) + 4y = -10Multiply: -20 + 4y = -10[Addition Property of Equality] Add 20 on both sides: 4y = 10[Division Property of Equality] Divide 4 on both sides: y = 10/4Simplify: y = 5/2plz help i have 9 min and i dont understand plz help worth 20 points
Answer:
no question
Step-by-step explanation:
Evaluate the expression: 16.2 x 2 + 1/2 x 8.5 x 12
Answer:
83.4
Step-by-step explanation:
16.2 x 2
=
32.4 +
1/2 x 8.5 x 12
=
51 + 32.4 = 83.4
Hope this helps!
What is the slope of a line that is perpendicular to the line y = 1/6x + 4
The slope of the line is
Answer:
-1/6x
Step-by-step explanation:
for a slope to be perpindicular it has to be the opposite.
Hello there! :)
Perpendicular lines have slopes that are opposite reciprocals. It means that if we have a number, we flop it over and make it negative.
We have 1/6.
We flop it over:
6/1
Now, we make it negative:
-6/1
-6/1 simplifies to
-6
Hope it helps!
If you have any question, feel free to ask!
~An excited gal
[tex]MagicalNature[/tex] here to help :)
If the probability of an event happening is 82/97, what are the odds against it happening?
Answer:
15/97?
Step-by-step explanation:
Just Minus the 82 and 97 to be the probability against it happening.
Sorry if I'm wrong
Which polynomial represents the sum below? (-x^3 + 3x^2 + 3) + (3x^2 + x + 4)
Answer:
Cddd
Step-by-step explanation:
Use structure: How is subtracting -4x from 9x similar to subtracting -4 from 9?
Answer:
It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end
Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows. 58 preferred comedies. 38 preferred variety shows. 44 preferred serious drama. 19 preferred comedies and variety programs. 14 preferred variety and serious drama. 15 preferred comedies and serious drama. 7 preferred all types. 5 did not like any of these TV show types. If you were the personnel manager, would you hire Matt on the basis of this survey
Answer: No, I wouldn't because he didn't do what he was told.
Step-by-step explanation: Using Matt's survey we draw a Venn Diagram.
Venn Diagram is a diagram used to show the logical relationship between two or more set of items.
The survey Matt did is represented below.
To construct the diagram:
1) Create 3 sets of data (represented by the circles) intersecting each other;
2) The space where the three intersect is the number of people surveyed that preferred all types. So, we write 7 in the space;
3) According to the research, 19 preferred comedies and variety. But there are already 7 in the intersect, so, 12 has those preferences;
4) Following the same logic, 14 preferred variety and drama. Then, 7 has those preferences;
5) And, 8 preferred comedy and drama;
6) Now, to determine how many of them has an exclusive preference, we take the data and subtract the already known values:
Comedy: 58 - 12 - 7 - 8 = 31;Variety: 38 - 12 - 7 - 7 = 12;Drama: 44 - 8 - 7 - 7 = 22;7) 5 don't like any of the types, so it is represented outside the three circles;
After creating the Diagram, we can determine how many people answered the poll:
total = 31 + 12 + 12 + 8 + 7 + 7 + 22 + 5
total = 104
Therefore, as a personnel manager, I wouldn't hire Mr. Matic because he was supposed to poll 100 people but he polled 104 people.
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches. What is the length (to the nearest tenth of a foot) of the tree’s shadow that will allow the tree to be cut down?
Answer:
create a proportion 72/348 = 32/x
Step-by-step explanation:
x = 1682
1682 ÷ 12 = 140.1
The length of the tree’s shadow that will allow the tree to be cut down will be 150.5 inches.
What are ratio and proportion?
A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall.
29 feet = 348 inches
6 feet 2 inches = 74 inches
Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches.
Then the length of the tree’s shadow that will allow the tree to be cut down will be
Let x be the tree’s shadow. Then we have
x / 348 = 32 / 74
x = 150.486
x ≅ 150.5 inches
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Russia bought 9 books for $3 each sold them making a profit of $18 for what price did she sell each book?
Answer:
$45
Step-by-step explanation:
Profit= $18
Books = 9
Sold each at = $3
So, total CP (Cost Price)= 9*3 = $ 27
Also Profit = SP - CP
Therefore, SP = Profit + CP
= 18 + 27 = $45
Extra p!
Someone help me, Thanks!!
Answer:
Step-by-step explanation:
so confused right now
Answer:
Step-by-step explanation: the answer is breme
Solve for the indicated variable in the literal equation. REAL ANSWERS ONLY!
Answer:
[tex] \large \boxed{l = \frac{P + 9}{ - 4} }[/tex]
See below for two alternative solutions.
Step-by-step explanation:
Goal
Solve for the l-term.Given Equation
[tex]P = - 3 - 4l - 6[/tex]Step 1
Make the l-term as the subject of equation by moving - 3 and - 6 to another side so we can leave l-term as the subject.[tex]P + 3 + 6 = - 4l[/tex]
Simplify by adding 3 and 6.
[tex]P + 9 = - 4l[/tex]
Remember that we cannot combine a variable and a constant. We can only combine a like term.
Step 2
Move -4 to divide P+9 so we can finally solve for l-term.[tex] \frac{P + 9}{ - 4} = l[/tex]
Alternative Solutions
1) We change the position of the negative sign of 4.[tex] - \frac{P - 9}{4} = l[/tex]
2) Simplify in the simplest form.[tex] \frac{P + 9}{ - 4} = l \\ \frac{P}{ - 4} + \frac{9}{ - 4} = l \\ - \frac{P}{4} - \frac{9}{4} = l[/tex]
Write an equivalent expression. 4x - x
Answer:
5x-2x
Step-by-step explanation:
4x-x = 3x
so,
5x-2x = 3x
The equivalent expression would be; 5x-2x
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We are given that the expression as; 4x - x
We need to find an equivalent expression.
Therefore, solving further;
4x-x = 3x
Thus, we can also create one expression as;
5x-2x = 3x
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Prior to the Academy Awards ceremony in 2009, the United Kingdom bookmaker Ladbrokes reported the following odds for winning an Oscar in the category of best actress (The Wall Street Journal, February 20, 2009).
Best Actress Movie Odds
Anne Hathaway Rachel Getting Married 2:11
Angelina Jolie Changeling 1:20
Melissa Leo Frozen River 1:33
Meryl Streep Doubt 3:10
Kate Winslet The Reader 5:2
a. Express the odds for each actress winning as a probability. (Round your answers to 3 decimal places.)
Best Actress Probability
Anne Hathaway
Angelina Jolie
Melissa Leo
Meryl Streep
Kate Winslet
Answer:
Anne Hathaway: 0.154 = 15.4%
Angelina Jolie: 0.048 = 4.8%
Melissa Leo: 0.029 = 2.9%
Meryl Streep: 0.231 = 23.1%
Kate Winslet: 0.714 = 71.4%
Step-by-step explanation:
Odds to probability:
Odds of a:b
The probability is given by:
[tex]p = \frac{a}{a+b}[/tex]
Anne Hathaway 2:11
So [tex]p = \frac{2}{2+11} = \frac{2}{13} = 0.154[/tex]
Angelina Jolie 1:20
So [tex]p = \frac{1}{1+20} = \frac{1}{21} = 0.048[/tex]
Melissa Leo 1:33
So [tex]p = \frac{1}{1+33} = \frac{1}{34} = 0.029[/tex]
Meryl Streep 3:10
So [tex]p = \frac{3}{3+10} = \frac{3}{13} = 0.231[/tex]
Kate Winslet 5:2
So [tex]p = \frac{5}{5+2} = \frac{5}{7} = 0.714[/tex]
Zahir is going to the movies. The cost of a movie ticket is $10.50 and candy costs $3 for each box. He has a maximum of $20 to spend. How many boxes of candy can he buy?
b = # of boxes of candy he can buy
Answer:
3 boxes of candy
Step-by-step explanation:
$20.00 = $10.50 + 3(b)
3*3 = $9.00
$10.50 + $9.00 = $19.50
$20.00 - $19.50 = $0.50
($0.50 is the reminder).
Have a great day, all!!
8 grade solution plobem, first explantion gets brainest
Answer:
x=8
y=1/6x+4/6
y= 2
Step-by-step explanation:
fen bilimleri sorusu limana yaklaşan bir geminin önce gövdesimi görünüyorduuuuu yoksa bacasımı ¿¿¿¿ ^-^
Answer:
ilk önce en ön kısmı gözükür
bacası öndeyse bacası gözükür
şöyle düşün elinde bir top var ve bir gemi gemiyi topun altindan yukariya doğru götürüyorsun ve ilk en öndeki kısmı gözükür
I'm needing help with 4,5,6
Answer:
4. acute
5. obtuse
6. obtuse
Step-by-step explanation:
Is (2, 1) a solution to this system of equations?
4x + 12y = 20
x + y = 3
yes
no
Answer:
yes
I hope to help you
my dear
Answer:
no
Step-by-step explanation:
4(2)+12(1)=20
8 + 12 =20
20 = 20
Please help me please ! Also the answer is not a
Answer:
The answer is c
Step-by-step explanation: Since both terms are perfect squares, factor using the difference of squares formula to get the answer i hope this helps
Hey there!
The answer is C.
To factor an expression, you take the root (same as exponent variable has) of the terms and put them into parantheses. We can also check the choices to see if they're correct by solving them.
A is incorrect, because if you solve it, you would have [tex]x^2-121[/tex]
B is incorrect, because if you solve it, you would have [tex]121x-x^2[/tex]
C is correct, because if you solve it, you would have [tex]121-x^2[/tex]
D is incorrect, because it CAN be factored.
Have a super awesome day! :)
PLEASE HELP!!!
what is the length of segment SR? units
Answer:
Its 12
Step-by-step explanation:
1. In order to save for her high school graduation, Kathrina decided to save ₱200 at the end of every other month, starting the end of the second month. If the bank pays 0.250% compounded monthly, how much will be her money at the end of 5 years? (use j = 0.000417, n = 30)
2. Emma availed of a cash loan that gave her an option to pay ₱10,000 monthly for 1 year. The first payment is due after 6 months. How much is the present value of the loan if the interest rate is 12% converted monthly?
Answer:
1) 202.52
2) P107089
Step-by-step explanation:
Compound interest is calculated as
A = P (1 + r/n)^(nt), where
A = compounded interest
P = present value
r = interest
n = number of times interest applied
t = time taken
A = 200 (1 + 0.25%/30)^(30 * 5)
A = 200 (1 + 8.3*10^-5)^150
A = 200 * 1.0126
A = 202.52
Present Value Annuity Due is usually given by the formula
P = c*((1-(1+ i)^(-n))/i)*(1 + i ), where
P is the present value
C is the Cash flow per period
i is the interest rate and
n is the number of payments
P = 10000*((1-(1+ 12/1200)^(-1*12))/(12/1200))*(1+12/1200)
P = 113676
Also, it's worthy of note that
Effective Annual Rate = [(1 +stated rate/no. of compounding periods) ^no of compounding periods - 1]* 100
EAR = ((1+12/(12*100))^12-1)*100
EAR = 12.68%
And lastly, the
Future value = present value*(1+ rate)^time
113676 = Present value*(1+0.1268)^0.5
Present Value = 113676 / 1.1268^0.5
Present Value = 113676 / 1.0615
Present value = 107089
What is the GCF of 4 and 8? *
Answer:
i think it is for 4 it is 2 and for 8 it is 4 hope this helps
Step-by-step explanation:
I need help with this also
Answer:
Part A: $336.4
Part B:279.2645625
Step-by-step explanation:
$320+5.125% tax = 336.4
Part B:$279.2645625-5.125% tax = 279.2645625 bucks.
Thank you and good luck cheating
please help im so lost