Please help I’m being timed!!! When planning road development, the road commission estimates the future population using the function represented in the table, where x is the time in years and f(x) is the total population. What is the significance of 160,000 in the function? A) the maximum population of the city B) the expected population in 5 years C) the initial population at the time of the estimation D) the amount of increase in the population in 5 years
Answers
The correct answer is C) The initial population at the time of the estimation
Explanation:
A mathematical function represents the relationship between two variables by showing how one increases or decreases as the other changes. In the case presented, the variables are the time in years represented by x and the population represented by f (x). In this context, the value 160.000 in column f(x) represents the population on the year 0, this means the current population or initial population when the function or estimation is created. On the other hand, other values represent the population in the future, for example, the value 173189 represents the population in 4 years.
Answer:
yes the 3ed answer in correct on ENG 2022
Related Questions
What are the square roots of; (note: i think there are supposed to be 2 each) 36 12 1.96 0.64 400 25/36
Answers
Answer:
36 : 6 and -6
12 = [tex]2\sqrt{3} , -2\sqrt{3}[/tex]
1.96 =1.4 and -1.4
0.64 : 0.8 and -0.8
400 : 20 and -20
25/36 = 5/6 and -5/6
Step-by-step explanation:
we know that
(-x)^2 = x^2
ALSO
(x)^2 = x^2
thus, square of both negative and positive number is same positive number.
_________________________________________________
36 = 6*6
36 = -6*-6
hence
square roots of 36 is both -6 and 6
12 = 4*3 = [tex]2^2*\sqrt{3} *\sqrt{3}[/tex]
[tex]\sqrt{12} = 2\sqrt{3}[/tex]
also
12 = [tex]-2\sqrt{3} *-2\sqrt{3}[/tex]
[tex]\sqrt{12} = -2\sqrt{3}[/tex]
___________________________________
1.96 = 196/100 = (14/10)^2
1.96 = 196/100 = (-14/10)^2
hence
[tex]\sqrt{1.96} = 14/10 \ or -14/10[/tex]
_______________________________
0.64 = 64/100 = (8/10)^2 = 0.8^2
0.64 = 64/100 = (-8/10)^2 = (-0.8)^2
Thus, square root of 0.64 = 0.8 and -0.8
_________________________________
400 = 20^2
400 = (-20)^2
[tex]\sqrt{400} = 20\\\sqrt{400} = -20\\[/tex]
__________________________________
25/36 = (5/6)^2
25/36 = (-5/6)^2
[tex]\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6[/tex]
The mean and variance are known as the _____
of a distribution.
Answers
Answer:
The mean and variance are known as the parameters of a distribution.
Step-by-step explanation:
The mean and the variance are parameters of a distribution. Parameters are constantly estimated in Statistics using samples of values of a population because they are often unknown.
They characterize a quantitative aspect of a probability distribution, and completely determined the distribution. For example, in the normal distribution, the mean, [tex] \\ \mu[/tex], and the variance, [tex] \\ \sigma^{2}[/tex], determined this distribution.
Most of the time, the standard deviation, [tex] \\ \sigma[/tex], is more used than the variance because is in the same units that the mean.
In this way, we can say that these parameters "tell us" where the central point of the distribution is (this is the case for the mean), and also, how spread the values of a probability distribution are (the case for variance or the standard deviation).
Solve for “x” to the nearest tenth. (Hint: Find a decimal that, when multiplied by itself, will be approximately 46.)
Answers
Answer:
6.79Step-by-step explanation:
According to Question,
[tex] {x}^{2} = 46[/tex]
Squaring on both sides
[tex] \sqrt{ {x}^{2} } = \sqrt{46} [/tex]
Calculate
[tex]x = 6.79[/tex]
Let's check :
If we multiply 6.79 by itself, then the result will be approximately 46.
Hope this helps..
Best regards!!
What is the vertex of the quadratic equation below? y=x^2-8x+1 Explanation?
Answers
To find the vertex, you need to find the axis of symmetry first.
In order to find the axis of symmetry we have to do -b/2a.
In our case, the b is -8 and the a is 1.
Plug it in.
-(-8)/2(1)
8/2 = 4
Our axis of symmetry is 4.
Now, we plug it into the equation to find the rest of the vertex.
y = 4^2 - 8(4) + 1
y = 16 - 32 + 1
y = -16 + 1
y = -15
Put it together.
Our vertex is (4,-15).
Please answer this question
Answers
Answer:
[tex] y = 9.1 [/tex]
Step-by-step explanation:
Use the Law of sines to find y in ∆WXY, given:
m < Y = 106°
m < X = 58°
WY = x = 8
WX = y = ?
Therefore,
[tex] \frac{y}{sin(Y)} = \frac{x}{sin(X)} [/tex]
[tex] \frac{y}{sin(106)} = \frac{8}{sin(58)} [/tex]
[tex] \frac{y}{0.961} = \frac{8}{0.848} [/tex]
[tex] \frac{y}{0.961} = 9.434 [/tex]
Multiply both sides by 0.961 to solve for y
[tex] \frac{y*0.961}{0.961} = 9.434*0.961 [/tex]
[tex] y = 9.434*0.961 [/tex]
[tex] y = 9.1 [/tex] (to nearest tenth)
Nicole has x marbles. Together we have 44 marbles. How many marbles will I have if I lose 1/4 of my marbles ?
Answers
Answer:
I have:
33 - 3N/44 marbles
N = marbles of Nicole
Step-by-step explanation:
Nicole + me = 44 marbles
m = 44 - N
m = me
N = Nicole
if i lose 1/4 of my marbles
4/4 - 1/4 = 3/4
i have left:
3/4 of my marbles
then:
m = 3(44-N)/4
m = 3*44/4 + 3*-N/44
m = 33 - 3N/44
I have finally:
33 - 3N/44
Corrina has two jobs. On Monday, she worked the first job at a rate of $8.50/hr., for 6 hours, and
then the second job at a rate of $9.21/hr., for 4 hours. What was her total pay on Monday?
Answers
Answer: $77.84
Step-by-step explanation:
First multiply 8.5*6 to get 51. Thus, she made 51 dollars from her first job.
Then multiply 9.21*4 to get 26.84. Thus, she made 26.84 dollars from her second job.
Then add her first and second jobs(51+26.84) to get $77.84
Hope it helps <3
Hi ... i appreciate you to answer this questuion...
[tex] \frac{ {x}^{2} }{ {x}^{4} + 1 } [/tex]
Answers
Answer:
[tex]\large \boxed{\sf \ \ \dfrac{x^2}{x^4+1}=\dfrac{1}{7} \ \ }[/tex]
Step-by-step explanation:
Hello,
We know that (let's assume that x is different from 0 as we cannot divide by 0)
[tex]x+\dfrac{1}{x}=3[/tex]
and we want to estimate
[tex]\dfrac{x^2}{x^4+1}[/tex]
Let's take the square.
[tex]9=3^2=(x+\dfrac{1}{x})^2=x^2+2\cdot x \cdot \dfrac{1}{x}+\dfrac{1}{x^2}=x^2+2+\dfrac{1}{x^2}=\dfrac{x^4+1}{x^2}+2[/tex]
So, we can write
[tex]\dfrac{x^4+1}{x^2}=9-2=7 \\ \\\\\text{*** let's take the inverse ***} \\ \\\dfrac{x^2}{x^4+1}=\dfrac{1}{7}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
A pair of linear equations is shown:
y=-3x + 5
y = x + 2
Which of the following statements best explains the steps to solve the pair of equations graphically?
O on a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope =
1.
O on a graph, find the point of intection of two lines; the first line has y-intercept = -3 and slope = 5, and the second line has y-intercept = 1 and slope =
2.
O On a graph, find the point of intersection of two lines; the first line has y-intercept = -5 and slope = 3, and the second line has y-intercept = -2 and slope =
-1.
O On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = -5, and the second line has y-intercept = -1 and slope =
-2.
Answers
Answer:
Hey there!
On on a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope = 1.
Hope this helps :)
a firefighter dives at 7.5 m/sec from window to net. If window is 34 m above net, what speed does firefighter hit net. ACCELRATION IS 9.8 m/sec^2
Answers
Answer:
Step-by-step explanation:
This is more physics than math, but since "The book of nature is written in the language of mathematics"...
Anyway, the one-dimesional motion equation you want to use here resembles the quadratic we use to model parabolic motion. It is
[tex]v^2=v_0^2+2a[/tex]Δx
where v is the final velocity of the firefighter, v₀ is the initial velocity of the firefighter, a is -9.8 m/s/s (negative because the motion is in the downward direction), and Δx is -34 m. This is also negative because where the firefighter lands is below the point at which he started. This is important, because if you leave the 34 as positive, you end up with a negative radicand...and that's not gonna work. Filling in the formula:
[tex]v^2=(7.5)^2+2(-9.8)(-34)[/tex]
Paying close attention to significant digits here is important (at least it is when I teach physics in school!). Since there are 2 significant digits in 7.5, we need 2 in the product. 7.5 squared is 56.25 which will round to 56. Then on the right side of the plus sign, we need 2 significant digits as well since the number 2 is part of the equation. We don't count it as significant if it is part of the equation. 2(-9.8)(-34) = 666.4 but that will round to 670. NOW, since the rules for significant digits are different in multiplication and addition, you have to round each first, then take the square root of the sum, rounding at the end. In this case we will round to the place that holds the least significance between the 2 numbers. In our case that is the tens place, since the tens place is less significant than is the 1's place. The number 7 is in the tens place. (Following that rule is super tricky, and also quite maddening!)
What we have here is
[tex]v^2=56+670[/tex] and
[tex]v=\sqrt{56+670}[/tex]
That leaves us with
v = 26.94438j
But don't forget we round that to the tens place which comes out in the end, finally, to
v = 30 m/s
Which line will have no solution with the parabola y - x + 2 = x2?
5
3+
N
-5 -4 -3 -4
2 3 4 5 X
th
-3
44+
-5
Answers
Answer:
yes
Step-by-step explanation: i agree its 3
Need help!! Please if you know this go ahead and answer but if you don’t don’t bother!! Thanks
Answers
Work Shown:
area of base = 18*17 = 306 square yards
V = volume of pyramid
V = (1/3)*(area of base)*(height)
V = (1/3)*(306)*(15)
V = 1530 cubic yards
Answer:1530
Step-by-step explanation: length*width*height* divided by 3
This is a Muti-Question From 3 different Questions ____________________________________________________________________Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Bonnie withdrew $1,200 from her savings account. She spent of the money on travel arrangements. She spent of the remaining amount at the hardware store. Finally, she treated her friend to lunch with some of the remaining money. After lunch, Bonnie had $300.50 left. How much money did Bonnie spend on lunch? Bonnie spent $_____ on lunch. __________________________________________________________________ Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two kilograms of carrots at $1.90 per kilogram, and one kilogram of potatoes for $1.20. He received a 5% discount off his total bill. How much money did Nathaniel spend on fruits and vegetables at the farmers market? Nathaniel spent $______ at the farmers market. __________________________________________________________________ elect the correct answer. A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to finish the season with a 90% winning percentage? A. 12 B. 14 C. 15 D. 27 Please Help me with these 3 Questions!
Answers
Answer:
23.75
Step-by-step explanation:
IM GANNA HELP FOR THE SECOND ONE CUZ THE FIRST QUESTION DOESNT HAVE SOME VALUES AND THE THIRD IS KINDA HARD
BUT I HOPE I HELPED
the question:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two kilograms of carrots at $1.90 per kilogram, and one kilogram of potatoes for $1.20. He received a 5% discount off his total bill. How much money did Nathaniel spend on fruits and vegetables at the farmers market? Nathaniel spent $______ at the farmers market.
nathaniel got 2 dozen so 7$ for the oranges
4 kg so 13$ for apples
2 kg so 3.8$ for carrots
1 kg so 1.2$ for potatoes
LETS ADD IT TOGETHER
25$ TOTAL
DISCOUNT=5%
5% OF 25 IS 1.25
SO 25-1.25=23.75
SO NATHANIEL SPENT 23.75$ IN ALL
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
In square units, what is the area of the sector that is not shaded?
Answers
Answer:
[tex] A = 350\pi \approx 1100 [/tex]
Step-by-step explanation:
The shaded area is a sector with a central angle of 45 deg.
The total measure of the central angle of a full circle is 360 deg.
The central angle of the unshaded sector is
360 deg - 45 deg = 315 deg
The area of a sector of a circle with a central angle of n degrees and a radius r is
[tex] A = \dfrac{n}{360}\pi r^2 [/tex]
[tex] A = \dfrac{315}{360}\pi \times 20^2 [/tex]
[tex] A = 350\pi \approx 1100 [/tex]
A motorist travels for 3 hours at a certain speed and then increase his speed by 10 km for the next 4 hours If he travels 335 km altogether, Find his speed for the First 3 hours
Answers
Answer:
See the answer below.
Step-by-step explanation:
We know that: [tex]d=S\times t[/tex]
So, using the given data, we can write an equation for the total distance travelled as:
[tex]3\times S+4\times (S+10)=335\\\\\Rightarrow S\approx 42.1\:Km/h[/tex]
Best Regards!
Choose two values, a and b, each between 8 and 15. Show how to use the identity a^3+b^3=(a+b)(a^2-ab+b^2) to calculate the sum of the cubes of your numbers without using a calculator
I really need help with this
Answers
Answer:
Step-by-step explanation:
a = 8
b = 10
a^3 =8^3 = 512
b^3= 10^3 =1000
a^3 + b^3 = 1512
a^2 = 64
-ab = - 80
b^2 = 100
a + b=18
(a + b) (64 - 80+ 100)
18 * (84)
1512'
A university offers a Calculus class, a Sociology class, and a Spanish class. Youare given data below about a group of students who have all taken at least one ofthe three classes.(iv)(i) Group 1 contains 187 students. Of these, 61 students have taken Calculus,78 have taken Sociology, and 72 have taken Spanish. 15 have taken bothCalculus and Sociology, 20 have taken both Calculus and Spanish, and 13have taken both Sociology and Spanish. How many students in Calculushave taken all three classes?\
Answers
Let A, B, and C denote the sets of students that have taken calculus, sociology, and Spanish, respectively.
We're given that [tex]A\cup B\cup C[/tex] consists of 187 students.
We want to find the size of [tex]A\cap B\cap C[/tex], given that
• A has 61 students;
• B has 78;
• C has 72;
• [tex]A\cap B[/tex] has 15;
• [tex]A\cap C[/tex] has 20; and
• [tex]B\cap C[/tex] has 13.
Using the inclusion/exclusion principle, we have
[tex]|A\cup B\cup C|=|A|+|B|+|C|-(|A\cap B|+|A\cap C|+|B\cap C|)+|A\cap B\cap C|[/tex]
where |X| denotes the size of the set X. Plug in all the known sizes:
[tex]187=61+78+72-(15+20+13)+|A\cap B\cap C|[/tex]
[tex]\implies|A\cap B\cap C|=24[/tex]
so 24 students have taken all three classes.
PLEASE help me! The question is attached.
Answers
Answer:
The third option is correct
Step-by-step explanation:
We can rule out the first option because systems of equations CAN have decimal answers (this certain question cannot because of the domain) Same for the second option.
The last option says that all the numbers of forks knives and spoons must be equal but the question never specified that, in fact it looks like that is impossible since the variables have different coefficients.
The only logical answer is number 3
This is a ratio question, is this correct?
Answers
Answer:
C
Step-by-step explanation:
Before expressing as a ratio the quantities must have the same denomination
$2 = 200 cents, thus
40 cents : $2
= 40 cents : 200 cents ( divide both parts by 40 )
= 1 : 5 → C
A triangle has a base 12 inches and the height of 5 inches if 6 of these triangles are put together to form a hexagon what would be the area of the hexagon?
Answers
Explanation :
Area of 1 triangle:
A = (12 x 5)/2 = 60/2 = 30
Area of 6 triangle:
30 x 6 = 180in^2
LeBron buys 500 shares of Tiger Corporation for $10 a share. The corporation’s president is caught committing fraud and the stock drops to $3 a share. LeBron sells all his shares. How much can he take off his income as a capital loss this year?
Answers
Answer:
$3,500
Step-by-step explanation:
First, Lets analyze the problem.
LeBron buys 500 shares for $10 a share. So he buys 500 shares for $5,000.
Now the price drops to $3, he had 500 stocks, the stocks are now only worth $1500.
5000-1500=3,500
He has lost $3,500 in the Tiger Corporation shares.
The formula for the distance travelled over time t and at an average speed v is v⋅t. Amit ran for 40 minutes at a speed of about 5 kilometres per hour. What calculation will give us the estimated distance Amit ran in kilometres?
Answers
Answer:
3 1/3 km or 3.33 km (to the hundredth)
Step-by-step explanation:
Using the given formula,
estimated distance = v.t = velocity * time,
velocity = 5 km/h
time = 40 minutes = [tex]\frac{40}{60}[/tex] hours = [tex]\frac{2}{3}[/tex] hours
Therefore
distance = 5 km/h * [tex] \frac{2}{3} [/tex] hours = 10/3 km
= 3.33 km approximately
Answer:
[tex]\boxed{Distance = 3.33\ km}[/tex]
Step-by-step explanation:
Given:
Time = t = 40 min = 40/60 = 0.67 hours
Speed = v = 5 km/hr
Required:
Distance = S = ?
Formula:
Distance = Speed × Time
Solution:
Distance = 5 × 0.67
Distance = 3.33 km
Choose the best estimate for the multiplication problem below.
82.17
7.32
X
A. 560
B. 860
C. 420
Answers
Hey there!
We see that the first factor is 82.17, which is about 80. Then, we have 7.32, which is about 7.
80 times 7 is just doing 8 times 7 but putting a zero on the end!
So, 80 times 7 is 560, so our best estimate is A.560
Have a wonderful day!
Can someone help me ASAP???!!
Answers
Answer:
25x ²−49y ²
Step-by-step explanation:
We need to find product of (5x+7)(5x−7y)
By using identity (a+b)(a−b)=a −b ²
We have a=5x,b=7y
Thus (5x+7y)(5x−7y)=(5x) ²−(7y)
let me know if it was helpful
25x² - 49y²
Step-by-step explanation:
To Find:
The product of (5x - 7y)(5 x + 7)
How to solve:
Just need to use the formula of a² - b² = (a+b)(a-b)
let's assume a = 5x and b = 7x
Solution:
(5x - 7y)(5 x + 7) = (5x)² - (7y)²
= 25x² - 49y²
Hence required answer is 25x² - 49y².
If a company buys coffee at a price of $5/kg and then sells it their stores for $18/kg, what is the percentage profit compared to the original cost of the coffee?
Answers
Answer:
260%
Step-by-step explanation:
For the coffee;
cost price ([tex]C_{P}[/tex]) = $5/kg
selling price ([tex]S_{P}[/tex]) = $18/kg
Percentage profit (%P) = [tex]\frac{S_P - C_P}{C_P} * 100%[/tex] %
Substitute the right values into the above;
%P = [tex]\frac{18 - 5}{5} * 100%[/tex] %
%P = [tex]\frac{13}{5} * 100%[/tex] %
%P = 260%
Therefore, the percentage profit compared to the original cost of the coffee is 260%
Ava is buying paint from Amazon. Ava
needs 3/4 cup of blue paint for every 1
cup of white paint. Ava has 28 ounces
of white paint. How much blue paint
does he need?
Answers
Answer:
2.625 cups or 21 ounces
Step-by-step explanation:
Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.
She has 28 ounces of white paint. But, you have to convert ounces to cups.
1 cup = 8 ounces
28 ounces ÷ 8 ounces/cup = 3.5 cups
Now set up a ratio.
[tex]\frac{0.75}{1} = \frac{x}{3.5}[/tex]
X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)
Cross multiply and divide.
[tex]\frac{0.75}{1} = \frac{x}{3.5}[/tex]
x = 0.75 × 3.5
x = 2.625 cups
To convert to ounces, multiply by 8.
2.625 cups × 8 ounces = 21 ounces
Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.
Hope that helps.
find the solution set of x+3>19-3x, where x is a real number
Answers
Answer:
x>4
Step-by-step explanation:
x+3>19-3x
x+3x>19-3
4x>16
x>4
Answer:
x > 4
Step-by-step explanation:
x+3>19-3xx+3x +3 > 194x > 19 -34x > 16x > 16/4x > 4Solution set:
x= (4, + ∞), x∈RSolution set as set builder notation:
A= {x | x>4, x∈R}Sam needs a web designer. Designer A is offering her services for an initial $500 in addition to $100 per hour. Designer B is offering her service for an initial $600 in addition to $50 per hour. Till how many hours company B will be cheaper option for him?
Answers
Answer:
2 hours
Step-by-step explanation:
Let's denote the amount of time we need to find out, t.
=> 600 + 50t < 500 + 100t
or 600 - 500 < 100t - 50t
or 100 < 50t
or 100/50 < t
or t > 2
=> After 2 hours, company B will be cheaper option than company A
Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[tex]Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[/tex]
Answers
The largest x that satisfies
[tex]3x^2+17x+15=5[/tex]
is the largest solution to
[tex]3x^2+17x+10=0[/tex]
We have
[tex]3x^2+17x+10=(3x+2)(x+5)=0[/tex]
[tex]\implies x=-\dfrac23\text{ or }x=-5[/tex]
and so the largest value of x we want is -2/3.
Solve . -9 2/7(-10 3/7).
Answers
Answer:
315943/12683
Step-by-step explanation:
Well -9 2/7 * -10 3/7 is 315943/12683
Answer:
540/49
Step-by-step explanation:
Work on the brackets first: (-10✖️3/7)=-30/7
-30/7✖️2/27=-60/49
-60/49✖️-9=540/49