the model is using "t" as years after 2003, if we want to know the population in that country using that model at year 2003, then "t" must be 0, when t = 0, that's the initial population for that model.
[tex]A=920.2e^{0.005t}\implies A=920.2e^{0.005(0)}\implies A=920.2(1)\implies A=920.2[/tex]
Find the volume of the sphere.
Either enter an exact answer in terms of 7 or use 3.14 for and round your final answer to the nearest hundredth.
Step-by-step explanation:
vol of sphere =
[tex](4 \div 3) \times {5}^{3} \times \pi[/tex]
523.59 units^3
Answer:
523.33 units³
Explanation:
Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³ - Here the radius is 5 and take π as 3.14.
Using the formula:
[tex]\frac{4}{3}[/tex]πr³ [tex]\frac{4}{3}[/tex](3.14)(5)³523.33 units³ [ rounded to nearest hundredth ]I NEED ALL 3 ASAP IT CLOSES SOON
Answer:
Slope is (-9/3 or) -3
Y-intercept is 4
Equation is y = - 3x + 4
Hope this helps!
I have the equation I just don't know how to solve it
the answer to your question is a.
Can you please help with problem 3
Answer: 6 and 8
Step-by-step explanation:
(The top and bottom)
A trapezoid has two bases and two legs. As seen, the lengths that represent the bases of the trapezoid are the parallel sides 8 and 6. This is because they go on straight and never intersect each other, which makes them parallel. The length that represents the height of the trapezoid is 4, which is the straight line that connects both bases.
Hope this helps =)
a car of mass 1000kg traveling at a speed of 108km/hr a long a level road is brought to stop in a distance of 70m. what was the coefficient of friction
Answer:
Step-by-step explanation: a car of mass 1000kg traveling at a speed of 108km/hour a long a level road is brought to stop in a distance of 70m. what was the coefficient of friction Gradyn is waiting for your help. Add your answer and earn points.
Which ordered pair is the solution to this system of equation?
y = x - 1
x + y = 5
(-6, -1)
(-6, -1)
(7, -2)
(7, -2)
(-1, 6)
(-1, 6)
(3, 2)
Answer:
(d) (3, -2)
Step-by-step explanation:
It is easy enough to check the offered choices. All but the last fail in the first equation.
(-6, -1): -1 ≠ -6 -1
(7, -2): -2 ≠ 7 -1
(-1, 6): 6 ≠ -1 -1
(3, 2): 2 = 3 -1 . . . . . this is your solution point
WORK The ecology club is landscaping a local park. Dell can plant a flower bed in 3 hours. Max can plant a flower bed of the same size in 4 hours. a. Using t, time in hours, write an expression representing how many flower beds they will complete in t hours working together.
Step-by-step explanation:
this simply means that Dell can do 1/3 of the work in 1 hour, and Max can do 1/4 of the work in 1 hour.
so, working together, they can complete 1/3 + 1/4 of the work in 1 hour.
to really add these fractions, we need to bring them to the same denominator by finding the smallest (or lowest) common multiple of the existing denominators, which is in this very simple case just 3×4 = 12
1/3 + 1/4 = 4/12 + 3/12 = 7/12
therefore, together they can complete 7/12 of a flower bed in 1 hour.
so, by defining the variable fb as the number of completed flower beds :
fb = 7/12 × t
A father is 3 times as old as his son, 9 years ago the father was 4 times as old
as his son. find their present ages.
[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
Given :-We have given in the question that, A father is 3 times as old as his son 9 years a ago, The father was 4 times as old as his son To Find :-We have to find the present ages of son and father Let's Begin :-Let the present age of son be x
A father is 3 times old as his sonTherefore,
Present age of the father will be
[tex]\bold{ = 3x\:\: years }[/tex]
9 years ago,
The age of the son was
[tex]\bold{ = ( x - 9)\: years}[/tex]
So,Age of the father was
[tex]\bold{ = 3(x - 9) \:years ...eq(1)}[/tex]
But,
It is given that, 9 years a ago father was 4 times as old his son age That is, [tex]\bold{ 4(x - 9) ...eq(2)}[/tex]From eq(1) and eq(2) :-
[tex]\sf{3(x - 9) = 4(x - 9)}[/tex]
[tex]\sf{3x - 27 = 4x - 36}[/tex]
[tex]\sf{3x - 4x = -36 + 27}[/tex]
[tex]\sf{-x = -9 }[/tex]
[tex]\bold{\pink{ x = 9 \: years }}[/tex]
Thus, The present age of the son is 9 years
Therefore,Age of the father will be
[tex]\sf{ = 3 × 9 }[/tex]
[tex]\bold{\red{ = 27 \: years }}[/tex]
Hence, The present ages of son and father is 9 years and 27 years
soit f la fonction qui a x associe le nombre 3x-1. La valeur de f(4+1) est ?
Jangan Mencoba Menikamku Dari Benakmu
In the table below, x represents miles traveled and y represents the cost to travel by train.
Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00
Which linear equation represents the situation?
y = 2 x + 8.50
o y = 2.25 x + 4.00
y = 6.50 x + 2.25
y = 12 x + 22.50
It's second option, just didn't see a question up for this one
Answer:
Y=2.25x+4.00 would be the answer!:)
Step-by-step explanation:
The slope is 2.25 and the starting point is 4.00
To find the slope subtract 8.50 and 15.25 then divide it by 3
Answer:
B.) y = 2.25x + 4.00
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Find the length of the third side if necessary write in simplest radical form
a^2 + b^2 = c^2
c is the hypotenuse of the right triangle.
answer: 6
Find GCF of 28y^5, and 6300x
A and B can do a task in t hours.A and b can complete the task in t+2 and t+18 hours respectively.Find t
Step-by-step explanation:
A can do 1/(t+2) of the task in 1 hour.
B can do 1/(t+18) of the task in 1 hour.
t×1/(t+2) + t×1/(t+18) = t/t = 1 (the full task is done)
t + t×(t+2)/(t+18) = t+2
t×(t+18) + t×(t+2) = (t+2)(t+18)
t² + 18t + t² + 2t = t² + 20t + 36
2t² + 20t = t² + 20t + 36
2t² = t² + 36
t² = 36
t = 6
ect the best answer for the question.
What is the slope of a line that passes through (-12,15) and (0,4)?
Answer:
y = -11/12x + 4
Step-by-step explanation:
(-12,15) and (0.4)
4 - 15 = -11
0 -(-12) = 12 (since minus a negative = positive)
-11/12
Then just put the numbers.
15 = -11/12(-12)
15 = 11 + b
4 = b
Additional Information:
Slopes are really fun to do, but they get tricky and confusing. By the way, I am 14 years old and I did slopes, and I'm not the best at this, so I might be wrong. :( Don't hate me.
Answer:
-11/12
Step-by-step explanation:
The slope of the line is the difference in y-values divided by the difference in x-values. It is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -15)/(0 -(-12)) = -11/12
The slope of the line through the given points is -11/12.
Find the missing side lengths.
Answer:
x= 6
y= 2
Step-by-step explanation:
conversion factor is 2, so you have to divide by 2 in order to get your answers :)
Answer:
x = 6
y = 2
Step-by-step explanation:
Just divide 6 a number and you have to get 3, in this case it's 2.
So then divide 4 and 12 by 2, and that will get you the answer.
Hope this helps!
write 0.44320 in standard form?
Answer:
4.432 * 10^-1
Step-by-step explanation:
move your decimal so that you have less than 10 before the decimal.
Then count the number of spaces moved (1) and put that in the 10^x (10^-1)
Answer:
[tex]4.432 \times {10}^{ - 1} \\ [/tex]-3х + 2 = 2х - 8
Solve for X
Answer:
x=2
Step-by-step explanation:
you would add -3x on both sides, then that cancels out, and then the equation would be 2=5x-8. Then you would add 8 to both sides then it would be 10=5x. Then you would divide 5 by both sides, then it will be x=2.
Solve the inequality and graph the solution on the number line.
h−9 ≤ 3
I couldn't screenshot the graph
Answer:
A closed circle on 12, going to the left.
Step-by-step explanation:
h − 9 ≤ 3
+ 9 + 9
h ≤ 12
Look for a closed circle on 12, going to the left.
Hope that helps!
You have $100 to spend on Christmas gifts for your family. You buy the shirt below on sale for $15 for yourself. The remaining amount was split evenly on gifts for your four family members. How much did you spend on each family member?
Answer:
$21.25
Step-by-step explanation:
Step one: $100 and you subtract the $15 you spent on a shirt which leaves you with $85.
Step 2: finally you need to divide 4 into 85....Calculate...... You spend $21.25 on each member
8) Which equation represents the relationship between b and c?
A) C = 70b
B) C = b + 70
C) c = 140b
D) C = b + 140
Answer:
C=70b
Step-by-step explanation:
multiply each number in b by 70 to get the correct answer of c
Will someone help out pleaseeeeee
Answer:
(x-2) (x+ 8)
that's the answer to the question
Which of the following ordered pairs are solutions to the system of equations below?
a. (1, 6)
b. (1, -6)
3. (-1, -6)
4. (-1, 6)
Given :-
A system of linear equation in two variables .To Find :-
The solution set of the system .Solution :-
The given system of equation is ,
[tex]\begin{cases} 3x + 2y = 9\dots (i) \\\\ y = 4x + 10 \dots (ii)\end{cases}[/tex]
Firstly , taking equation (ii) ,
[tex] y = 4x +10[/tex]
On subtracting y on both sides, we have ;
[tex] 4x - y +10 = 0[/tex]
Multiplying both sides by 2 ,
[tex] 2(4x -y+10)=2(0)[/tex]
Simplify,
[tex] 8x - 2y = -20 \dots (iii)[/tex]
Adding equation (i) and (iii) ,
[tex] 3x + 2y + 8x - 2y = -20+9[/tex]
Add and subtract the like terms ,
[tex] 11x = -11 [/tex]
Divide both sides by 11 ,
[tex] x = -1 [/tex]
Now substitute this value in equation (i) ,
[tex] 3(-1) + 2y = 9\\ \\ -3 + 2y = 9 \\\\ 2y = 9+3 \\\\ 2y = 12 \\\\ y =\dfrac{12}{2}\\\\ y = 6[/tex]
Hence the correct option is 4 (-1,6) .
I hope this helps . Let me know if you need any further clarification .
Option 4.
For clear understanding refer to the attachment.
What is the common ratio of the
geometric sequence? 1,2,4,8
Answer:
r = 2
Step-by-step explanation:
To find the common ratio (r) of a geometric sequence, simply divide a term by its previous term.
8 ÷ 4 = 2
or, 4 ÷ 2 = 2
or, 2 ÷ 1 = 2
If the 0 in the numeral 60428 is changed to 6 , by how much is the new number greater?
I think it should be 6000 more! If not im so sorry!! Have a nice day!!
y = 2x + 4
6x – 3y = -12
System by substitution 10 points
Answer:
(-2, 0)
Step-by-step explanation:
y = 2x+4
6x - 3y = -12
Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...
2x - y = -4
Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...
2x-3(2x+4)=-4
Distribute the -3
2x-3(2x)-3(4)=-4
2x-6x-12=-4
Combine like terms
-4x-12=-4
Add 12 to both sides
-4x-12+12=-4+12
-4x=8
Divide both sides by -4
x=-2
Plug -2 back in for x to solve for y:
y = 2(-2) + 4
y=-4+4
y=0
(x, y) = (-2, 0)
Answer:
Infinitely many solutions
Step-by-step explanation:
[tex]y=2x+4\\ [2] 6x-3y=-12[/tex] < ------------- Linear equations given
Equations Simplified or Rearranged :
[tex]y - 2x = 4 \\ [2] -3y + 6x = -12[/tex]
Solve by Substitution :
// Solve equation [1] for the variable [tex]y[/tex]
[tex][1] y = 2x + 4[/tex]
// Plug this in for variable[tex]y[/tex] in equation[tex][2][/tex]
[tex][2] -3*(2x+4) + 6x = -12[/tex]
[2] [tex]0 = 0 =>[/tex] Infinitely many solutions
I need help with this question quick :,) please answer lol
Answer:
y=6x-4
Step-by-step explanation:
First find the slope using the coordinates of (-1,-10) which will be your first pair x1 and y1. And (3,14) will be x2 and y2. To find the slope use this formula: m= y2-y1/x2-x1
Put the numbers of the coordinates in the formula and you get a fraction of
24/4 = 6 this is the slope
m=6
Then to find the y-int
Pick a coordinate they both will give the same answer. Put it into the point slope formula: y-y1=m(x-x1)
Only use y1, x1, and m which is 6 And solve
y-14=6(x-3) distribute the 6 this gives you
y-14=6x-18 to get y by itself, ADD 14 to both sides of the equal sign
Leaving you with y=6x-4
Fill in the blank with the correct response.
Twenty-seven is 25% of _____?
Twenty-seven is 25% of 108
g(t)-3t-5;Findg(-9) of you could show the steps to solve.
Step-by-step explanation:
Substitute t = -9:
[tex]g( - 9) = 3( - 9) - 5[/tex]
Solve:
[tex]g( - 9) = - 27 - 5[/tex]
[tex]g( - 9) = - 32[/tex]
i need help, plsss
4(-4x-1)+x+3=44
Answer:
x = -3
Step-by-step explanation:
Start by distributing the 4 to the terms in the parentheses:
4(-4x)+4(-1)+x+3=44
-16x-4+x+3=44
Combine like terms
-15x-1=44
Add 1 to both sides
-15x-1+1=44+1
-15x=45
Divide both sides by -15
x = -3
Answer: x = -3
Step-by-step explanation: distribute, combine, divide, you get x = -3
A spinner has five section labeled ABC D & E the spinner is spun 45 times in there so I recorded in the table what is the experimental probability of the spinner landing on see round to the nearest percent and if necessary
Answer:
It'll be 18% to the nearest percent
Step-by-step explanation:
2/5 × 45 = 18
Answer:
The answer is 18%
Step-by-step explanation:
The formula to find experimental probability is number of favorable outcomes/total number of trails. Our favorable outcome here is C ( the outcome we want), and it occurs 8 times. The spinner is spun 45 times so there are 45 trials. This means we get 8/45. 8 divided by 45 equals 0.177777778. When rounded up equals 0.18=18%.
Hope this helps for you K12 math test.