Answer:
The population of the city was 25,000 in 1970 and 1983.
Step-by-step explanation:
In order to find the year at which the population was 25,000 we need to make p(t) equal to that number and solve for t as shown below.
[tex]25000 = 14*t^2 + 650*t + 32000\\14*t^2 + 650*t + 7000 = 0\\t^2 + 46.43*t + 500 = 0\\t_{1,2} = \frac{-46.43 \pm \sqrt{(46.43)^2 - 4*1*500}}{2}\\t_{1,2} = \frac{-46.43 \pm \sqrt{155.75}}{2}\\t_{1,2} = \frac{-46.43 \pm 12.48}{2}\\t_1 = \frac{-33.95}{2} = -16.98\\t_2 = \frac{-58.91}{2} =- 29.5[/tex]
Since t = 0 corresponds to the year 2000, then t1 = 1983 and t2 = 1970.
(a) Which of the following has only one subset? (1)
(i) {2} (ii) { } (iii) {Ǿ} (iv) None of these
Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
Q3. Ishah spins a fair 5-sided spinner. She then throws a fair coin.
(i) List all the possible outcomes she could get. The first one has been done for you.
(1, H)
(ii) Ishah spins the spinner and tosses the coin.
Work out the probability that she will get a 2 and a head.
Answer:
see below
Step-by-step explanation:
1.
1, H - 2, H - 3, H - 4, H - 5, H
1, T - 2, T - 3, T - 4, T - 5, T
2.
2,H is one out of 10 possible outcomes, so the probability is 1/10
Which two consecutive whole numbers does 39 lie between? Why?
5 and 6 because 39 falls between 52 = 25 and 62 = 36.
4 and 6 because 39 falls between 42 = 16 and 62 = 36.
6 and 7 because 39 falls between 62 = 36 and 72 = 49.
5 and 7 because 39 falls between 52 = 25 and 72 = 49
Answer:
Step-by-step explanation:
6 and 7
PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?
Answer:
Approximately 9.90 units.
Step-by-step explanation:
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.
Plug in the numbers:
[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]
[tex]d=\sqrt{7^2+7^2}[/tex]
[tex]d=\sqrt{2(7)^2}[/tex]
[tex]d=7\sqrt{2}[/tex]
X=2 in standard form
Answer:
[tex]A2+By=C[/tex]
Step-by-step explanation:
Well standard form is [tex]Ax+By=C[/tex].
And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].
So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.
So [tex]Ax+By=C[/tex]
x -> 2
So answer is [tex]A2+By=C[/tex]
2A+By=C is the standard form of X=2
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The standard form of a linear equation is Ax+By=C.
A times of x plus B times of y equal to C
A, B, and C are constants,
x and y are variables.
Standard form lets us quickly find the x- and y- intercepts.
By given x value is 2.
Now plug in the value of x in standard form of equation.
2 times of A plus B times of y equal to C
2A+By=C
Hence 2A+By=C is the standard form of X=2
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any number that divisible by 3 is also divisible by 6 . Find a counterexample to show that the conjecture is false
Answer:
Counterexample: 21 which is divisible by 3 but not by 6.
Step-by-step explanation:
Use for example the number 21 which is divisible by 3 rendering 7, but not divisible by 6.
You can find any number with at least a factor of "3", but no factor "2" in it, so any odd number divisible by 3 would work as counterexample.
If the computer costs $2150 and Melissa puts
$150 away each month, how long will it take her
to save enough money to buy the computer?
Answer:
14 months and 1/3 of a month
Step-by-step explanation:
We can find how many months it will take by dividing the cost by the amount she puts away each month:
2150/150 = 14.33
So, it will take her 14 and 1/3 of a month
Subtracting Rational Numbers Simplify –3 – 1.
Answer:
-4
Explanation:
when subtracting a positive integer from a negative, the answer becomes smaller. If the question were to ask -3-(-1) negative 3 minus negative 1, the subtraction sign becomes a addition sign, and you add 1 to -3.
Answer: -4
Step-by-step explanation: To subtract the integers -1 - 1, I would first change the minus sign to plus a negative.
So we have -1 + -1.
Now let's use a number line to find our answer.
Starting at 0, -3 moves us 3 units to the left, then from there,
-1 moves us 1 more unit to the left and we end up at -4.
So -3 + -1 is -4.
Sam bakes a variety of biscuits. 1/3
are peanut, 12 are raisin and the
remaining 12 were oat. How many
biscuits are baked?
Answer: 36
Step-by-step explanation:
Let the no. of biscuits be x
Peanuts will be 1/3x
So,
1/3x + 12 + 12 = x
1/3x + 24 = x
x + 72 = 3x
x-3x = -72
x = 72/2 = 36
Peanut biscuits will be 1/3 * 36 = 12
Total no. of biscuits baked were 12+12+12 = 36
HELP
Find the volume of the sphere in terms of Pi
Answer:
Hey there!
The volume of a sphere is 4/3pir^3
If d=5, then r=2.5,
Thus, we have 4/3(15.625)pi
20.83pi
The first choice is correct.
Hope this helps :)
Answer: num 1
Step-by-step explanation:
4/3*pi*r^3
4/3*pi*15.625
20.83*pi
hope i halped
can i get brainliest?(im trying to level up)
pls
-Zylynn
The segments shown below could form a triangle.
Answer:
B. False
Step-by-step explanation:
In order for segments to form a triangle, the sum of the lengths of the shorter two must be at least as much as the length of the longest one.
The sum of the shorter two is 6 + 5 = 11. This is not as great as 12, the length of the longest one, so no triangle can be formed.
A piece of aluminum with a mass of 100.0 g has a temperature of 20.0°C. It absorbs 1100 J of heat energy. What is the final temperature of the metal?
Answer:
31.81°CStep-by-step explanation:
Using the formula for calculating heat energy H = mcΔT
m = mass of the aluminum (in g/kg)
c = specific heat capacity of aluminum
ΔT = change in temperature = T - Ti (in °C)
T is the final temperature
Ti is the initial temperature
Given m = 100.0g, c = 0.931096J/g °C, Ti = 20°C, H = 1100J T = ?
Substituting the given values into the formula;
1100 = 100*0.931096 (T - 20)
1100 = 93.1096T - 1862.192
93.1096 T = 1100+1862.192
93.1096 T = 2962.192
T = 2962.192/93.1096
T = 31.81°C
The final temperature of the metal is 31.81°C
Answer:
31.81c
Step-by-step explanation:
1100 = 100*0.931096 (T - 20)
1100 = 93.1096T - 1862.192
93.1096 T = 1100+1862.192
93.1096 T = 2962.192
T = 2962.192/93.1096
T = 31.81°C
What is the domain of the function y=3/x-1?
O
-00
O-1
O 0
O 1
Answer:
x ≠ 1.
Step-by-step explanation:
In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.
x - 1 = 0
x = 1
That means that the domain of the function is x ≠ 1.
Hope this helps!
The value of domain is,
⇒ {- ∞, ∞} - {1}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ y = 3 / (x - 1)
Now, We can find the domain as;
Here, The function is,
⇒ y = 3 / (x - 1)
Hence, Domain is,
⇒ {- ∞, ∞} - {1}
Thus, The value of domain is,
⇒ {- ∞, ∞} - {1}
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ASAP The rectangle below has been enlarged by a scale of 3.5. A rectangle with a length of 8 and width of 6. [Not drawn to scale] What is the area of the enlarged rectangle?
Answer:
588 units^2
Step-by-step explanation:
To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.
This is 3.5 multiplied by their original measures:
Length = 3.5 x 8 = 28
Width = 3.5 x 6 = 21
Now, area =. LxW = 588 units^2
Hope this helps
Answer:
588 units squared
Step-by-step explanation:
We have a rectangle that has dimensions 8 units by 6 units.
From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:
new length = 8 * 3.5 = 28 units
new width = 6 * 3.5 = 21 units
Given this, we can now calculate the area.
The area of a rectangle is denoted by A = lw, where l is the length and w is the width.
Here, the length is l = 28 and the width is w = 21. Plug these in:
A = lw
A = 28 * 21 = 588
The answer is thus 588 units squared.
~ an aesthetics lover
A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?
Answer:
2.38 Kg were eaten
Step-by-step explanation:
first we should divide 34 by 100
the result will be 0.34
then we multiply 0.34 x 7 Kg = 2.38 Kg
Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction
✓
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Answer:
C and D.
Step-by-step explanation:
I am guessing that he wants to find if 2 is a rational number by comparing it to the fraction [tex]\frac{\sqrt {2}}{1}[/tex]
There are a couple of reasons why Mark is not correct:
1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.
2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.
So, C and D would be correct.
NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
This is the correct answer
brainliest pls
Please answer this question now in two minutes
Answer:
y = 2x +10
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:
m = -1/(-1/2) = 2
Using the above point-slope form equation, we can write the equation of line t as ...
y -4 = 2(x -(-3))
y = 2x +6 +4 . . . . add 4, simplify
y = 2x +10 . . . . equation of line t
In the diagram, what is the measure of angle 1 to the nearest degree? a) 82° b) 92° c) 94° d) 98°
Answer:
98
Step-by-step explanation:
7x+4 = 88 because they are vertical angles and vertical angles are equal
7x = 88-4
7x = 84
Divide by 7
7x/7 = 84/7
x = 12
<1 and 7x-2 are supplementary angles since they form a line
<1 + 7x-2 = 180
<1 + 7(12) -2 = 180
<1 +84-2 =180
<1 +82 = 180
<1 = 180-82
<1 = 98
Answer-
98
step by step explanation -
7x+4=88
7x=84
x=12
7x-12=7*(12)-2=82
angle 1=180-82 =
98Pleas answer this is in two minutes
Answer:
b
Step-by-step explanation:
not a because equilateral would be all equal
scalene is all different
Answer:
scalene
Step-by-step explanation:
because all sides are different.
TWO MINUTES HELP MY PLEASE
Answer: C
Step-by-step explanation:
Answer:
The third one. Y= -1/2x^2 -2x -1
Step-by-step explanation:
how do u find rate of change on a graph
Step-by-step explanation:
The correct answer is the vertical change divided by the horizontal change between two points on a line. We can find the slope of a line on a graph by counting off the rise and the run between two points. If a line rises 4 units for every 1 unit that it runs, the slope is 4 divided by 1, or 4.
Answer:
Calculate the rise over the run/the change in y over the change in x
Step-by-step explanation:
In order to find the rate of change on a graph from a slope, you need to look at how many units up and how many units to the right. Find a solid point on the graph for both the x and y directions. Count how many units go up and how many go right. Divide how many units go up by how many go to the right and that is the rate of change on the graph.
a shopkeeper bought 1000 glass tumblers at rs8 each. 100 glass tumblers were broken and he sold the rest at rs 10 each. find his gain or loss percent.
Answer:
Hello!
~~~~~~~~~~~~~~~~~`
Profit % = (Profit/C.P)*100
= (1000/8000)*100
= 12.5%
Step-by-step explanation:
Cp of 1000glass =8000
100were broken =8000-800=7200
now there were 900 glass tumblers left he sold at rs10 each =9000
there for sp is bigger than cp
P in rs =9000-8000=1000
Hope this helped you! Brainliest would nice..!
☆_________________❤︎________________☆
Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply.
Answer:
-7/4 =x
Step-by-step explanation:
x-2(x+3) = 4(2x+3) -(x+4)
Distribute
x -2x -6 =8x+12 -x -4
Combine like terms
-x-6 = 7x +8
Add x to teach side
-x-6 +x = 7x+x+8
-6 = 8x+8
Subtract 8 from each side
-6-8 =8x+8-8
-14 = 8x
Divide by 8
-14/8 = 8x/8
-7/4 =x
Answer:
-5/6Step-by-step explanation:
[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]
Please answer this question now in two minutes
Answer:
c. Not enough information
? of 72 = 45 (answer in fraction)
Answer:
5/8
Step-by-step explanation:
72 = 16/10 of 45
45 = 10/16 = 5/8 of 72
H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15 What is the height of the stone at the time it is thrown?
Answer:
15 units
Step-by-step explanation:
Given the equation which models the path of a stone as:
[tex]H(x)=-5x^2+10x+15[/tex]
At the time when the stone was thrown
x=0
Therefore:
[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]
The height of the stone at the time it is thrown is 15 units.
Un campanario tarda 4s en tocar 5 campanadas , ¿Cuanto tardara en tocar 10 campanadas?
¿Cuanto tardara en tocar 10 campanadas?
assume the graph of a function of the form y=asin(k(x+b)) is given below. which of the following are possible values for a, k, and b?
Answer:
C
Step-by-step explanation:
Okay, here we have the equation of the sine wave as;
y = asin(k(x + b))
By definition a represents the amplitude
k represents the frequency
b represents the horizontal shift or phase shift
Now let’s take a look at the graph.
By definition, the amplitude is the distance from crest to trough. It is the maximum displacement
From this particular graph, amplitude is 4
K is the frequency and this is 1/period
The period ;
Firstly we find the distance between two nodes here and that is 1/2 from the graph (3/4 to 1/4)
F = 1/T = 1/1/2 = 1/0.5 = 2
b is pi/4 ( phase is positive as it is increasing rightwards)
So the correct option here is C
Answer: it is
a=4, k=2, and b= pi/4
Step-by-step explanation:
got it right on A P E X
what is the square root of 0.49
Answer:
0.7
if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root
Hope this helps
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
0.49 = 49/100
√(49/100)
√49/√100
7/10
= 0.7
How might you describe the y values for this section of x values: -1
Answer:
Answer is below
Step-by-step explanation:
The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.