Answer:
65,000
Step-by-step explanation:
100-38 is 62%
40,300 is 62% of whatever x is
40,300*100= 4,030,000
4,030,000/62=65,000
PRECAL:
Having trouble on this review, need some help.
1. As you can tell from the function definition and plot, there's a discontinuity at x = -2. But in the limit from either side of x = -2, f(x) is approaching the value at the empty circle:
[tex]\displaystyle \lim_{x\to-2}f(x) = \lim_{x\to-2}(x-2) = -2-2 = \boxed{-4}[/tex]
Basically, since x is approaching -2, we are talking about values of x such x ≠ 2. Then we can compute the limit by taking the expression from the definition of f(x) using that x ≠ 2.
2. f(x) is continuous at x = -1, so the limit can be computed directly again:
[tex]\displaystyle \lim_{x\to-1} f(x) = \lim_{x\to-1}(x-2) = -1-2=\boxed{-3}[/tex]
3. Using the same reasoning as in (1), the limit would be the value of f(x) at the empty circle in the graph. So
[tex]\displaystyle \lim_{x\to-2}f(x) = \boxed{-1}[/tex]
4. Your answer is correct; the limit doesn't exist because there is a jump discontinuity. f(x) approaches two different values depending on which direction x is approaching 2.
5. It's a bit difficult to see, but it looks like x is approaching 2 from above/from the right, in which case
[tex]\displaystyle \lim_{x\to2^+}f(x) = \boxed{0}[/tex]
When x approaches 2 from above, we assume x > 2. And according to the plot, we have f(x) = 0 whenever x > 2.
6. It should be rather clear from the plot that
[tex]\displaystyle \lim_{x\to0}f(x) = \lim_{x\to0}(\sin(x)+3) = \sin(0) + 3 = \boxed{3}[/tex]
because sin(x) + 3 is continuous at x = 0. On the other hand, the limit at infinity doesn't exist because sin(x) oscillates between -1 and 1 forever, never landing on a single finite value.
For 7-8, divide through each term by the largest power of x in the expression:
7. Divide through by x². Every remaining rational term will converge to 0.
[tex]\displaystyle \lim_{x\to\infty}\frac{x^2+x-12}{2x^2-5x-3} = \lim_{x\to\infty}\frac{1+\frac1x-\frac{12}{x^2}}{2-\frac5x-\frac3{x^2}}=\boxed{\frac12}[/tex]
8. Divide through by x² again:
[tex]\displaystyle \lim_{x\to-\infty}\frac{x+3}{x^2+x-12} = \lim_{x\to-\infty}\frac{\frac1x+\frac3{x^2}}{1+\frac1x-\frac{12}{x^2}} = \frac01 = \boxed{0}[/tex]
9. Factorize the numerator and denominator. Then bearing in mind that "x is approaching 6" means x ≠ 6, we can cancel a factor of x - 6:
[tex]\displaystyle \lim_{x\to6}\frac{2x^2-12x}{x^2-4x-12}=\lim_{x\to6}\frac{2x(x-6)}{(x+2)(x-6)} = \lim_{x\to6}\frac{2x}{x+2} = \frac{2\times6}{6+2}=\boxed{\frac32}[/tex]
10. Factorize the numerator and simplify:
[tex]\dfrac{-2x^2+2}{x+1} = -2 \times \dfrac{x^2-1}{x+1} = -2 \times \dfrac{(x+1)(x-1)}{x+1} = -2(x-1) = -2x+2[/tex]
where the last equality holds because x is approaching +∞, so we can assume x ≠ -1. Then the limit is
[tex]\displaystyle \lim_{x\to\infty} \frac{-2x^2+2}{x+1} = \lim_{x\to\infty} (-2x+2) = \boxed{-\infty}[/tex]
Internet Viewing A researcher wishes to estimate the average number of minutes per day a person spends on the Internet. How olo
large a sample must she select if she wishes to be 99% confident that the population mean is within 10 minutes of the sample
mean? Assume the population standard deviation is 38 minutes. Round your final answer up to the next whole number.
Using the z-distribution, as we have the population standard deviation, it is found that a sample of 96 people must be taken.
What is the margin of error for the z-distribution?It is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value.[tex]\sigma[/tex] is te population standard deviation.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
Additionally, we have that [tex]\sigma = 38, M = 10[/tex], hence we solve for n to find the minimum sample size needed.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 2.575\frac{38}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 38 \times 2.575[/tex]
[tex]\sqrt{n} = 3.8 \times 2.575[/tex]
[tex](\sqrt{n})^2 = (3.8 \times 2.575)^2[/tex]
n = 95.7
Rounding up, a sample of 96 people must be taken.
More can be learned about the z-distribution at https://brainly.com/question/25890103
8. Calir read for 4 hours last week. Luiz
read 6 times as long. Which equation
would show how long Luiz read?
Find the dimensions and solve for the volume.
What is the volume of this prism?
Length: ? Cm
Width: 5 cm
Height: 2 cm
Volume: ? Cm
3
Length is not given or any diagram hasn't been attached.
Length to be taken as x
L=xB=5H=2Now
Volume:-
V=LBHV=5(2)xV=10x cm³Help and you get brainliest
Answer:
1.a) 90 1.b) 32
Step-by-step explanation:
1.) 1^2 + 2^3 + 3^4
Squared means how much times to multiply the same number.
So, 1^2= 1x1=1
2^3=2x2x2=8
3^4=3x3x3x3=81.
So, 81+8+1=90
2. 4^2=4x4=16+2^4=2x2x2x2=16
16+16=32
Please mark me brainliest :)
Plumber A charges $50 to come to your house, plus $40 per hour of labor. Plumber B charges $75 to come to your house, plus $35 per hour of
labor. If y is the total dollar amount charged for x hours of labor, which of the following systems of equations correctly represents this
situation?
Answer:
D. y=40x + 50
y=35x + 75
Step-by-step explanation:
x is per hr
it's 40 and 35 dollars per hr
Represent 56÷ 8 = 7 using subtraction. Explain your reasoning.
Answer:
56-8-8-8-8-8-8-8=0
Step-by-step explanation:
Probably just wants to show how many times you subtracted 8 until you got 0
What’s the answer?????20 points!!!!
Answer:
i think 6,300
Step-by-step explanation:
Answer:
I believe the answer is c <3
Bella’s car payment is $321.00 a month for a five year period. What will she have paid for her car when she has paid her finals payment????
Thank you so much !!
Answer:
$19,260
Step-by-step explanation:
1 year = 12 months
5 × 12 = 60
5 years = 60 months
$321 × 60 = $19,260
Please is for 30 points
Which inequality is graphed on the number line
Answer:
2nd option: 3a-11≤7
Step-by-step explanation:
Step 1: The inequality on the number line is:
[tex]a \leqslant 6[/tex]
Step 2: Take a look at the options. First we know that we want values of a which are less than 6 so we get rid of option 1 and 3.
Step 3: Since 6 is included in the inequality so we need to have a ≤ so 2nd option is correct.
QUICK NOTE: if we solve the inequality shown in the 2nd option we'll see it's gonna be a≤6
take a look:
[tex]3a - 11 \leqslant 7 \\ 3a \leqslant 18 \\ a \leqslant 6[/tex]
Charlie takes a gymnastic class once a week. At each class, she buys a bottle of water for $0.75 and a protein bar for $2.50. Which of the following expressions represent the amount of money, in dollars, Charlie spends after attending 12 gymnastics classes? Select all that apply.
Answer:
$39
Step-by-step explanation:
[tex]12(.75 + 2.50) = 12(3.25) = 12(3) + 12(.25) = 36 + 3 = 39[/tex]
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
30yd²
Step-by-step explanation:
A = a*b/2 = 5yd * 12 yd / 2 = 60 yd² / 2 = 30 yd²
Answer: 30 yd²
Step-by-step explanation:
Let's start by flipping the triangle over to become a standard right-angled triangle so that the side measuring 5 yards becomes the bottom and 12 yards becomes the height.
The area of any triangle is
Area = 1/2 x breadth x height
Area = 1/2 x 5yd x 12yd = 5 x 12/2 = 60/2 = 30yd²
answers :
A. 80 degrees
B. 180 degrees
C. 110 degrees
D. 140 degrees
Answer:
D) 140 degrees
Step-by-step explanation:
Radius is perpendicular to tangent line
Draw DA, construction
DA is an angle bisector, m<BAD = 20,
Now, DBA and DCA are congruent right triangles
This is due to LA congruency
90 + 20 + x = 180
x = 70
BDA = CDA
so 70 + 70 = 140
D) 140 degrees
(I'm not that good at geo, so :( )
Find the remainder when f(x)=−2x3+x2−4x+1 is divided by x+3.
Answer:
4 the answer is 4
Step by step explanatin:
The two triangles below have proportional side lengths. Solve for x.
Answer:
90
Step-by-step explanation:
x/15=66/11
x/15=6
multiply by 15 on both sides to get the variable by itself
x=90
Find AB and
BC of this isosceles
triangle.
Answer:
AB = 23, BC = 13
Step-by-step explanation:
[tex]5x - 7 = 23[/tex]
[tex]5x = 30[/tex]
[tex]x = 6[/tex]
AB = 23, BC = 3(6) - 5 = 18 - 5 = 13
1) Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?
2) Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?
3) Carmen is trying to decide which jet ski rental plan to use. Plan A charges a one-time fee of $40 and $25 per hour. Plan B charges a one-time fee of $60 and $15 per hour. After how many hours will the plans cost the same?
4) Julie and Wendi purchased cell phones. Julie’s phone cost $50 and she pays $0.35 per minute. Wendi’s phone cost $70 and she pays $0.15 per minute. After how many minutes of use will Julie’s phone cost more than Wendi’s?
5) 78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?
6) 168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?
7) Christina spent $81.25 on books. Comic books cost $2.25 each and novels cost $7.00 each. If she bought 15 books, how many comic books did she buy?
8) Tina bought 8 pieces of clothing for a total of $164. Jeans cost $22 each and shirts cost $18 each. How many shirts did Tina buy?
9) Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?
10) Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?
What you need to do:
Please WRITE both equations for each problem, identify what your variables represent, and solve the system.
I don’t know what to do, so please help me understand by explaining how you got the answer.
I WANT TO LEARN FROM YOU! :)
- Will give BRAINLIEST if it gives me the option -
Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?
Solution:Let the number of cows be "x" and the number of chickens be "y".
According to question,
x + y = 25 4x + 2y = 72 -->(ii)
=> 4(x + y) = 25 × 4
=> 4x + 4y = 100 -->(i)
By Elimination method,
Equation (i) - (ii)
(4x + 4y) - (4x + 2y) = 100 - 72
=> 4x + 4y - 4x - 2y = 28
=> 2y = 28
=> y = 28/2
=> y = 14
Putting the value of "y" in Equation (ii)
4x + 2y = 72
=> 4x + 2 × 14 = 72
=> 4x + 28 = 72
=> 4x = 72 - 28
=> 4x = 44
=> x = 44/4
=> x = 11
Therefore,Total number of cows = 11
Total number of chickens = 14
Note: In the second equation of this question I've taken 4 and 2.
The reason behind it is simple. Since, I've assumed the number of cows is "x" and a cow has four legs that why infront of "x" I've put 4.
And a chicken has 2 legs and I've assumed it as "y" therefore infront of "y" I've put 2.
======================================
Question no.10:Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?
Solution:Let the number of cows be "x" and the number of chickens be "y".
According to question,
x + y = 28 4x + 2y = 96 -->(ii)
=> 4(x + y) = 28 × 4
=> 4x + 4y = 112 -->(i)
By Elimination method,
Equation (i) - (ii)
(4x + 4y) - (4x + 2y) = 112 - 96
=> 4x + 4y - 4x - 2y = 16
=> 2y = 16
=> y = 16/2
=> y = 8
Putting the value of "y" in Equation (ii)
4x + 2y = 96
=> 4x + 2 × 8 = 96
=> 4x + 16 = 96
=> 4x = 96 - 16
=> 4x = 80
=> x = 80/4
=> x = 20
Therefore,Total number of cows = 20
Total number of chickens = 8
Note: In the second equation of this question I've taken 4 and 2.
The reason behind it is simple. Since, I've assumed the number of cows is "x" and a cow has four legs that why infront of "x" I've put 4.
And a chicken has 2 legs and I've assumed it as "y" therefore infront of "y" I've put 2.
Hope it helpsUse the diagram above to answer the questions.
a. What are the coordinates of point N? (1 pt.)
b.
Use the Pythagorean Theorem to find the length of
segment PQ. (2 pts)
Answer:
a. (53, 12)
b. I couldn't find this without making a graph myself, hopefully someone will find it or you can figure it out for yourself using the answer I did provide.
what is an area of a trapezoid
Answer:
144
Step-by-step explanation:
Required area= Area of rectangle +2×(Area of Triangle)
=(10×8)+2×(1/2×8×8)
=80+64=144 in²
Answer:
144 in²
Step-by-step explanation:
To solve for the area of a trapezoid divided into a parallelogram (in this case a rectangle) and two triangles, you calculate the area of each part and add it together.
the area of a triangle = (base • height) / 2
the area of a parallelogram = (base • height)
so:
1. Calculate area of first triangle. 8 • 8 = 64, 64/2 is 32
2. Calculate the area of the second triangle. Since in this situation you have two equal triangles, you multiply the answer to the first part by 2 and get 64 in² again.
3. Calculate the area of the rectangle. 8 • 10 = 80 in²
4. Add the two numbers together. 80 + 64 = 144 in²
What is the approximate area of sector BAC given that 0 ~ 4.71 radians?
A. 117.75m2 or B. 1962.5m2
Answer:
1962.5 m^2
Step-by-step explanation:
area of the entire circle = pi (50^2)
subtract the large area
pi 50^2 - 4.71 /2pi pi 50^2 =
1.1 Outline any FOUR non-price competition strategies that food outlets like Nandos, KFC, Chicken Licken and other businesses specialising in chicken, ensure their operational success in the monopolistic competitive firm.
The food outlets can use these four non-price competition strategies to ensure their operational success in the monopolistic competitive market are:
Physical and quality improvementsOutlet locationTaste differentiationConsumer advertising.What are non-price competition strategies?Non-price competition strategies are competitive approaches that can help food outlets to de-emphasize pricing as a competitive strategy.
Instead of pricing, the food outlets can improve the physical and quality aspects of their chicken brands, increase consumer advertising, trade promotions, product differentiation, and locate their outlets in niche markets.
Thus, physical and quality improvements, outlet location and trade promotions, differentiation, and advertising can become non-price competition strategies for these food outlets.
Learn more about non-price competition strategies at https://brainly.com/question/1580879
Can someone please help me with this
Answer:
(x = 0, y = 0) and (x = 3, y = 0)
Step-by-step explanation:
Let's test out each pair by substituting the values into the inequalities.
Case 1: x = 0, y = 0
0 <= 6
0 < 6
It works!
Case 2: x = -5, y = -15
-15 <= 10 + 6 = 16
-5 + 15 = 10 < 6
It doesn't work.
Case 3: x = 4, y = -2
-2 <= -8 + 6 = -2
4 + 2 = 6 < 6
It doesn't work.
Case 4: x = 3, y = 0
0 <= -6 + 6 = 0
3 < 6
It works!
Case 5: x = 10, y = 0
0 <= -20 + 6 = -14
From here we can already see that it doesn't work
Case 1 and 4 work!
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
Answer:
76 squared cm
Step-by-step explanation
the equation is (b+b*h/2) so u just take 7 plus 12 times 8 divided by 2 and you get 76
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x – 1.
Answer:
The option u chose is the correct one
Deposit $130 at 9.4% compounded daily for 2 years
Answer:
$ 155.59 after two years
Step-by-step explanation:
Future Value = 130 ( 1 + .094)^2
Please help on math.
Answer:
Step-by-step explanation:
2hrs=70
so 4.5/2=2.25
2.25 times 70=$157.50
The ElA predicts that the United States has 216 billion barrels of crude oil reserves left. If 4 billion barrels are extracted each year, and extraction grows by 0.5% per year, how long will the reserves last?
Anwer o.5
Step-by-step explanation:
because 0.5 x 1 = 0.5
Which function is the inverse of f(x)=-5x-4
multiplication of -5 and x
I will give brainlisted for the correct answer. Due today!