It will take approximately four years for the population to be fewer than 13,000.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The population of the town is 20.000. It decreases at a rate of 9% per year.
The population of the town decreases by 20,000 × 9% = 1,800 people per year.
To determine how many years it takes for the population to fall below 13,000, you can use the formula:
= (20,000 - 13,000) / 1,800
= 3.88 ≈ 4 years
So, it will take approximately 4 years for the population to be fewer than 13,000.
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partial quotient for 654 divided by 3
654 over 3 = divide the both 654 and 3 by 3.
It will give you 218 over 1.
So the answer is 218.
Solve and explain (x^2+2xy+y^2)(x+1)
A. x^3 + 2x^2y + x^2 + y^2 + xy^2
B. x^2 + 2xy+ y^2
C. x^3 + x^2 + 2x^2y + xy^2 + y^2 + 2xy
D. x^2 + y^2 + 2xy + x + 1
answer is A
x^3 + 2x^2y + x^2 + y^2 + xy^2
Answer:
answer would be C.
Step-by-step explanation:
mUsing the distributive property.
Can you help me with this question please by the way its not 101
Answer:
41
Step-by-step explanation:
101+38=139
180-139 = 41
John has 8 coins, all of which are quarters and nickels. In all, they're worth $1.00. How many of each kind of coin does John have?
Answer:
you will need 3 quarters and 5 nickel
Step-by-step explanation:
3 quarters is 75 and 5 nickels is 25 =1.00
Find the domain of the vector function. (Enter your answer in interval notation.) r(t) = t − 2 t + 2 i + sin(t)j + ln(36 − t2)k
Answer:
The domain of the vector function is : ( -6, -2) ∪ ( -2, 6)
Step-by-step explanation:
The given vector function can be correctly expressed as:
[tex]r(t) = \dfrac{t-2}{t+2}i + sin \ tj + In(36-t^2) k[/tex]
The domain of the given function can be determined by finding the domain of each respective component.
To start with [tex]\dfrac{t-2}{t+2}[/tex]
Not defined, t = -2
Thus, the domain of the first component of the vector = [tex]( - \infty , -2) \cup ( 2, \infty )[/tex]
The 2nd component = sin t
No restriction on t
The 3rd component of the function is ㏑(36 - t²)
Let recall that natural is defined for +ve numbers,
i.e.
36 - t² > 0
(6 + t) (6 - t) > 0
Thus, it satisfies the inequality -6 < t < 6
The third domain = (-6,6)
Overall;
The domain of the vector function is : ( -6, -2) ∪ ( -2, 6)
Domain of a function is the set all possible inputs for that function.The domain of the given vector function is,
[tex](-6, -2) \cap (-2,6)[/tex]
What is domain?
Domain of a function is the set all possible inputs for that function.
Given information-
The vector function given in the problem is,
[tex]r(t)=\dfrac{t-1}{t+2} \hat i++sin(t)\hat j+ln(49-t^2)\hat k[/tex]
To find the domain of the above vector function, we need to find the domain of each function of vector quantity.
Lets find the domain of [tex]\hat i[/tex] first which is given by,
[tex]\dfrac{t-2}{t+2}[/tex]
This function is defined at all values except, t equals to -2 as the function is not defined at,
[tex]t=-2[/tex]
Hence the domain of component [tex]\hat i[/tex] is,
[tex](-\infty, -2) \cap (\infty,2)\\[/tex]
Lets find the domain of [tex]\hat j[/tex] first which is given by,
[tex]\sin(t)[/tex]
Two trigonometry function sine and cosine defined for all real number.
This function is defined at all real numbers. Hence the domain of component [tex]\hat j[/tex] is
Lets find the domain of [tex]\hat k[/tex] first which is given by,
[tex]\ln(36-t^2)[/tex]
Set the above argument greater than zero to find where the expression is defined.Thus,
[tex](36-t^2)>0\\(6+t)(6-t)>0[/tex]
Therefore,
The domain of it should be [tex](-6,6)[/tex]
Hence the domain of the given vector function is,
[tex](-6, -2) \cap (-2,6)[/tex]
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The vertices of a triangle are P(-2, -4), Q(2, -5), and R(-1,-8). Name the vértices of the triangle after reflecting over the x-axis
Answer:
P(-2,4)
Q(2,5)
R(-1,8)
Step-by-step explanation:
The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.
y=4x+1
y=-3/4 |x|
how do i graph these equations (separate problems)?
Write an equation of the line that passes through each pair of points (- 2, - 3), (4, 5)
Answer:
y= 4/3x -1/3
Step-by-step explanation:
Find slope: y2-y1/x2-x1 = 5-(-3)/4-(-2) = 8/6 = 4/3
Use point slope to find the equation:
y - y1 = m ( x - x1 )
y - (-3) = 4/3 ( x - (-2))
y = 4/3x + 8/3 + (-3)
y = 4/3x + 8/3 - 9/3
y= 4/3x -1/3
Please help ASAP
What are the equations of the asymptotes of the hyperbola?
(y-1)^2/9-(x-2)^2/100=1
y-1= ±3/10(x-2)
Im not sure how to get this answer but my teacher gave it to me so i hope this helps!
The equation of the asymptote of the given hyperbola is; y - 1 = ±(3/10)(x - 2)
We are given the equation of the hyperbola as;
[(y - 1)²/9] - [(x - 2)²/100] = 1
We can rewrite this equation as;
[(y - 1)²/3²] - [(x - 2)²/10²] = 1
The general equation form of hyperbola is;
[(y - k)²/a²] - [(x - h)²/b²] = 1
Comparing this general form to our given equation we can see that;
k = 1
h = 2
a = 3
b = 10
Now the equation of the asymptote of a hyperbola follows the general formula;
y = ±[a(x - h)/b] + k
Plugging in the relevant values gives us;
y = ±(3/10)(x - 2) + 1
y - 1 = ±(3/10)(x - 2)
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Alexander is a stockbroker. He eams 11% commission each week Last week, he
sold $7,100 worth of stocks. How much did he make last week in commission? The averages that
same amount each week, how much did he make in commission in 2011
(A): 825
(B): 42,900
17 increased by twice Greg's height
Answer:25
Step-by-step explanation:
easy question if your having big problem
Answer:
whats the problem
Step-by-step explanation:
Answer:
yup
Step-by-step explanation:
There are 40 boys in 6th grade. The number of girls in 6th grade is 30. Carly says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:7. Is Carly correct? If not, what is the correct answer?
Answer:
Carly is wrong. The correct answer is 4:3
Step-by-step explanation:
40/10=4
30/10=3
Answer:
Carlie is wrong
Step-by-step explanation:
The correct answer is 4:3
The slope of a line on the coordinate plane can be calculated using any two points on the line and one outside point.
O True
O False
Answer:
true i think
Step-by-step explanation:
The regular price of a pair of sneakers is $80. They are on sale now for $50. What is the percent decrease in the price of sneakers?
Answer:
62.5% decrease
Step-by-step explanation:
At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for this situation? (4 points)
5 hours per truck
1 truck per hour
1 over 5. of a truck per hour
1 over 5. of an hour per truck
Answer:
five trucks per hour
Step-by-step explanation:
I need help can you help me please
Answer:
with i cant see the problem so i dont lnow
Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a 15\%15%15, percent tip.What is her total bill including tip?
Answer:
$51.75
Step-by-step explanation:
The meal cost $45. $45 is 100% of the cost. She wants to leave a 15% tip, so add 15% to 100%.
15% + 100% = 115%
She will pay 115% of $45.
115% of $45 = 1.15 * $45 = $51.75
List the number from greatest to least 3/2, 0.75,-24,-3/2
Answer:
3/2, 0.75,-3/2, -24
Step-by-step explanation:
I think that's the answer
Offering Brainliest, a 5 star review, and a like on your answer, Please help.
Answer:
I'm pretty sure it's 1,1.
Step-by-step explanation:
Answer:
(1,1)
Step-by-step explanation:
sub to pewdiepie
If
Answer: If you were born in April you a amiable, and always ready to help others and a faithful lover.
Step-by-step explanation:
Rewrite in simpliest terms-
−0.2(3p−0.9)+0.4(−0.9p−5)
Answer:
-0.96p - 1.82
Step-by-step explanation:
Look at pic and answer ASAP
Answer:
the second one, the one that is already highlighted is correct.
Step-by-step explanation:
she divided it up among them so 20 over x shows division
Liza and Kelly rode their bikes everyday for five days. They each rode the same distance everyday. Lisa rode 60 miles in all and Kelly rode 25 miles in all. How many more miles per day did Lisa ride than Kelly?
Answer:
60/5=12 25/5=5 7 more miles a day
Step-by-step explanation:
plzz mark brainiest
Help help it’s geometry I need help
Answer: X = 57.5
Step-by-step explanation:
3x - 65 + x + 15 = 180
4x - 50 = 180
4x = 230
x = 57.5
Answer:
3x-65 degrees
Step-by-step explanation:
Since the angles are vertical angles, y should equal the same value of the corresponding angle.
Anyone know- I need help.
Answer: 5on x axis 2 on the y axis
Answer:
The answer would be (5,2)
:D Have a Great Day :D
A recipe uses 8 ounces of cocoa mix to make hot chocolate for 7 people what is the unit rate in ounces per person
Answer:
1.14285714286 ounces per person
Step-by-step explaination:
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate
following this rule, 8 divided by 7 is 1.14285714286
Your assignment will probably ask you to simplify
what is equivalent to 9 x (78) will brainlist
an angle measures 94°. what is the measure of its supplement?
Answer:
86
Step-by-step explanation:
180-94
quiz 4-1 : classifying and solving for sides/angles in triangles gina wilson (all things algebra) URGENT
Answer:
14.
[tex]x = 11[/tex] [tex]m<B = 108[/tex] [tex]m<C= 36[/tex] [tex]m<D = 36[/tex]
15.
[tex]x = 4[/tex] [tex]WX = 25[/tex] [tex]XY = 17[/tex] [tex]WY = 25[/tex]
Step-by-step explanation:
Solving (14):
[tex]BC = BD[/tex]
[tex]m<B = 13x - 35[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<D = 2x + 14[/tex]
First, we solve for x.
Since sides [tex]BC = BD[/tex], then
[tex]m<C = m<D[/tex]
This is so because the theorem of ASA (Angle-Side-Angle)
So, we have:
[tex]5x - 19 = 2x + 14[/tex]
Collect Like Terms
[tex]5x - 2x = 19 + 14[/tex]
[tex]3x = 33[/tex]
Divide both sides by 3
[tex]x = 11[/tex]
Solving for m<B, m<C and m<D.
We simply substitute 11 for x in their respective expressions.
[tex]m<B = 13x - 35[/tex]
[tex]m<B = 13*11 - 35[/tex]
[tex]m<B = 143 - 35[/tex]
[tex]m<B = 108[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<C= 5*11 - 19[/tex]
[tex]m<C= 55 - 19[/tex]
[tex]m<C= 36[/tex]
[tex]m<D = 2x + 14[/tex]
[tex]m<D = 2*11 + 14[/tex]
[tex]m<D = 22 + 14[/tex]
[tex]m<D = 36[/tex]
Solving (15):
[tex]<X = <Y[/tex]
[tex]WX = 9x - 11[/tex]
[tex]XY = 4x + 1[/tex]
[tex]WY = 7x - 3[/tex]
First, we solve for x.
Since [tex]<X = <Y[/tex], then
[tex]WX = WY[/tex]
This is so because the theorem of SAS (Side-Angle-Side)
So, we have:
[tex]9x - 11 = 7x - 3[/tex]
Collect Like Terms
[tex]9x - 7x = 11-3[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
Solving for WX, WY and XY
We simply substitute 4 for x in their respective expressions.
[tex]WX = 9x - 11[/tex]
[tex]WX = 9 * 4 - 11[/tex]
[tex]WX = 36 - 11[/tex]
[tex]WX = 25[/tex]
[tex]XY = 4x + 1[/tex]
[tex]XY = 4 * 4 + 1[/tex]
[tex]XY = 16 + 1[/tex]
[tex]XY = 17[/tex]
[tex]WY = 7x - 3[/tex]
[tex]WY = 7 * 4 - 3[/tex]
[tex]WY = 28 - 3[/tex]
[tex]WY = 25[/tex]
