Answer:
I would say that -6 is not included because in order for a function to be included it has to ≤ or ≥. It should be greater than and equal to. 4 is the correct answer because x ≤ 4.
A town
has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
Answer:
The answers is 15840
Step-by-step explanation:
\text{Exponential Functions:}
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }14000
a=starting value = 14000
r=\text{rate = }2.5\% = 0.025
r=rate = 2.5%=0.025
\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.025=1.025
b=1+r=1+0.025=1.025
\text{Write Exponential Function:}
Write Exponential Function:
y=14000(1.025)^x
y=14000(1.025)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=14000(1.025)^{5}
y=14000(1.025)
5
y= 15839.71498
y=15839.71498
Evaluate
y\approx 15840
y≈15840
round
Can someone please answer this for me
Answer:
3.5
Explanation:
Take any two points of the line and simply use the formula slop = y2-y1/x2-x1
Two points that I consider
(x1, y1) = (5,0)
(x2,y2) = (7,7)
Now using the above mentioned formula,
y2-y1/x2-x1 = 7-0/7-5 = 7/2= 3.5
Hence slop of line is 3.5
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62% of trees were saved from a fire. If this represents 1420 trees, how many trees were originally in the forest?Round to the nearest whole tree.
Answer:
2290 trees
Step-by-step explanation:
Given data
Let the total number of trees be x
62% of the total trees x is 1420 trees
mathematically
62/100x= 1420
0.62x= 1420
divide both sides by 0.62
x= 1420/0.62
x= 2290.32
To the nearest whole tree= 2290 trees
Help me please please help me
Answer:
0.26
Step-by-step explanation:
first criss cross then it came 8 over 15 and divide by 2 is 0.26
Find the lengths of the segments with variable expressions
Answer:
EF = 7 units
AD = 3 units
BC = 11 units
Step-by-step explanation:
Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.
x = 1/2(x-4 + 2x-3)
x = 1/2x - 2 + x - 1 1/2
x = 1 1/2 x - 3.5
-1/2 x = -3.5
x = 7 units
EF = 7 units
AD = 7-4 = 3 units
BC = 2(7) - 3 = 11 units
The measurements of the trapezoid are EF = 7 units, AD = 3 units and BC = 11 units
What are trapezoids?A type of quadrilaterals having one pair of parallel sides are considered as trapezoids.
Given is a trapezoid, with midsegment = x, bases = x-4 and 2x-3
Since it is a trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.
x = 1/2(x-4 + 2x-3)
x = 3x/2 - 7/2
2x = 3x-7
-1/2 x = -3.5
x = 7 units
EF = 7 units
AD = 7-4 = 3 units
BC = 2(7) - 3 = 11 units
Hence, the measurements are EF = 7 units, AD = 3 units and BC = 11 units
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Solve this equation 53y - 55 = 42y
???????......????...??..??…??..?.?.?..
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
For the given right triangle, find the value x to the nearest tenth:
Answer:
x = 45.6
Step-by-step explanation:
cos 58 = x/86
86 cos 58 = x
x = 45.6
You must memorize the definitions of the trig functions and these problems will be easy for you. OK?
For example, cos of an angle = adjacent side/hypotenuse
In a triangle with vertices A,B and C, if C =64° and the lengths AC= 40mm and BC= 70mm find the length AB using cosine rule
Answer:
63.6mm
Step-by-step explanation:
According to cosine rule;
AB² = BC²+AC²-2(BC)(AC)cos m<C
Substitute the given values
AB² = 70²+40²-2(70)(40)cos 64
AB² = 4900+1600-5600cos64
AB² = 6500-5600(0.4384)
AB² = 6500-2,454.87
AB² = 4,045.12
AB = √4,045.12
AB = 63.6mm
Hence the length of AB is 63.6mm
A store manager earns $ 24.00 per hour. If the manager works 8 hours one day and donates 1 10 of the day's earnings to charity, how much of the earnings are left?
what is the common ratio? {250, 50, 10, 2...}
Answer:
5
Step-by-step explanation:
The common ration can be found by dividing the 2nd number from the 1st number:
250 / 50
which equals 5
250 / 50 = 5
you can do this by any number, for example:
50 / 10 =5
10 / 2 = 5
–3y9 number of terms
Answer and Step-by-step explanation:
[tex]-3y^{9}[/tex]
This value above is ONE term. Even though it is made up of more values and stuff, it is all one term BECAUSE they are all connect, so the -3 is with the y by multiplication, and the 9 is with -3y as an exponent of y.
#teamtrees #PAW (Plant And Water)
n is an integer with -5 < 2n <6
write down all the values of n?
Answer:
The values of n are less than 3 and more than (-5/2)
Step-by-step explanation:
The given inequality is :
-5 < 2n <6
We need to write the values of n.
Dividing both sides of the inequality by 2. So,
[tex]\dfrac{ -5}{2} < \dfrac{2n}{2} <\dfrac{6}{2}\\\\=\dfrac{ -5}{2}<n<3[/tex]
So, the values of n are less than 3 and more than (-5/2).
Which of the following choices shows the equation solved for y
7x + 2y = 10
1. y = -7/2x + 5
2. y = 7/2x +10
3. y = 7/2x + 5
4. y = -7x + 10
Answer:
#1; [tex]y = -\frac{7}{2}x+5[/tex]
Step-by-step explanation:
[tex]7x+2y=10[/tex]
[tex]2y = -7x + 10[/tex]
[tex]\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}[/tex]
[tex]y = -\frac{7}{2}x + 5[/tex]
Sara collected $135 in donations for the hospital. This represents 5% of the total amount collected by her class. How much did the class collect in all?
A.$6.75
B.$130
C.$140
D.$2700
Answer:
Step-by-step explanation:
A(5/100)=135
A=100(135)/5
A=$2700
Answer:
D
Step-by-step explanation:
5/100 = 135/x
Cross multiply
5 × x = 100 × 135
5x = 13500
Divide both sides by 5 to isolate the variable
x = 2700
$2700
Check work by plugging the x value into the equation
5/100 = 135/2700
Convert 5/100 so that it has the same denominator as the other fraction
5 × 27/100 × 27
135/2700
135/2700 = 135/2700
Do they equal?
Yes, so our answer is correct
Please help with a.
Do not use a calculator.
Answer:
0.0000016
Step-by-step explanation:
(8×10^-3)×(2×10^-4)
=8×10^-3 × 2×10^-4
= (8×2) × (10^-3 × 10^-4)
=16 × 10^(-3) + (-4)
= 16 × 10^ (-3-4)
=16× 10^(-7)
= 0.0000016
PLEASE HELP FAST I WILL GIVE BRAINLIST AND EXTRA POINTS FOR YOU TO DRAW THE GRAPH
Answer:
literally straight on the x axis
what is the surface area of the figure?
Answer:
96
Step-by-step explanation:
first off you know that it is a square pyramid, so you can assume that all base lengths are 6.
i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory
next, we have to find the 4 triangles
we know that they are 5 by 6 but you have to divide them by 2
so 30/2=15 and there are 4 of them
15*4=60
now add together 60 and 36 and you get 96
hope this helps!
Jaedon bought 3 toy cars for $11.70. How much would 10 cars cost?
Answer:
39
Step-by-step explanation:
11.70 divided by 3 is 3.9, and the unit rate. Multiply by 10 for the answer.
what is the value of (-3+3i)+(-2+3i)?
-5-6i
-5+6i
5+6i
5-6i
Answer:
B. -5 + 6i
Hope this is right. Have a good day, and don't forget to be tiger fierce!! :)
What two expressions represent 3/12?
Answer:
A and C
3x1/12= 3/12
3x1/2= 3/12
f(x) = x+2
g(x) = 3x
workout the value of gf(5)
Answer:
g(5) = 15 and f(5) = 7
Step-by-step explanation:
f(5) = x + 2
f(5) = 5 + 2
f(5) = 7
g(5) = 3x
g(5) = 3(5)
g(5) = 15
plz mark as brainliest if correct!!!
Answer:
21
Step-by-step explanation:
because firstly u substitute 5 into x in the f equation
so it will be f(x)=5+2=7
the substitute 7 into the g equation
so g(x)= 3 x 7= 21
y = (-3/2)x + 9 2x + 4y = 17 solve the system of equations
step by step
Answer:
x = 19/4 and y = 15/8
Step-by-step explanation:
Given:
y = (-3/2)x + 9
2x + 4y = 17
Move y to one side:
2x + 4y = 17
y = 17/4 - x/2
Solve for x:
(-3/2)x + 9 = 17/4 - x/2
x = 19/4
Substitute x to solve for y:
y = (-3/2)(19/4) + 9
y = 15/8
2(19/4) + 4y = 17
y = 15/8
In a computer catalog, a computer monitor is listed as being 25 inches. If the height of the screen is 15 inches, what is the area of the screen to the nearest inch?
Answer: 20inch
Step-by-step explanation:
Using the Pythagoras theorem:-
25^2 = 15^2 + x^2 where x = the width of the screen.
625 = 225 + x^2
x = √(625 - 225) = √400
= = 20 ins
simplify ..... 12x^2 / 9x^2y show work please
Answer:
4/3y
Step-by-step explanation:
Given the expression 12x^2 / 9x^2y
12x^2 / 9x^2y
= (3*4)* x * x/(3*3)*x*x*y
= 4x^2/3x^2y
= 4/3y
hence the simplified form is 4/3y
What is the area of this figure?
Answer:
989 ft.
Step-by-step explanation:
7*13=91
91 is the first rectangles area.
13+6=19
19*17=323
323 is the second rectangles area.
25*23=575
575 is the third rectangles area.
575+323+91=989
Solve the system by substitution.
y = 9x – 12
Y = 3x
Answer must be in (#,#) form.
will mark brainliest if correct
Answer:
(2, 6)
Step-by-step explanation:
if you meant for both of the y to be the same then this should be right
Answer:
(2,6)
Step-by-step explanation:
*this is actually elimination*
1st- Turn both of them into standard form.
y=9x-12 ---> 9x-y=12
y=3x --> 3x-y=0
--
Multiply 9x-y=12 by -1
-9x+y=-12
3x-y=0
-6x=-12
divide by 6
x=2
--
Plug 2 into the first equation
9(2)-y=12
18-y=12
Cancel out 18 by subtracting -18 to both sides
-y=-6
divide by -1
y= 6
Answer: (2,6)
Which property is demonstrated below?
(a+b)+c=(b+a)+c
A. Commutative property of addition
B.Associative property of addiction
C.Identity property of addition
D.Distributive property
Answer:
Associative property of addition
Answer:
B.Associative property of addiction
Step-by-step explanation:
In a card game, one of the players wants to draw two DIAMONDS in a row from a newly shuffled deck. (Recall a deck of cards has 52 total cards
and 13 of each symbol, including 13 diamonds.)
Create a tree diagram.
What is the probability ONE of the two cards is a diamond?
What is the probability the second card is a diamond, GIVEN the first card drawn was a diamond?
(CLICK YOUR ANSWER FROM THE OPTIONS BELOW. DON'T TYPE YOUR ANSWER IN.)
Word Bank:
382.59.235.254.191 25.559 231
Blank 1:
Blank 2:
Part A
The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.
The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.
The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.
The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.
So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34
The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%
---------------
Answer in fraction form = 13/34Answer in decimal form = 0.3824 (approximate)Answer in percent form = 38.24% (approximate)============================================================
Part B
We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.
We have 13-1 = 12 diamonds left out of 52-1 = 51 total.
The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%
-----------------
Answer in fraction form = 12/51Answer in decimal form = 0.2353 (approximate)Answer in percent form = 23.53% (approximate)I need help with this problem. Can someone please tell me what the answer is?
Answer:
the answer is D hope that help
Answer:
The answer is D
Step-by-step explanation: