Answer:
14.48=11.99+y
or
y=14.48-11.98
Step-by-step explanation:
it should be one of these (the variable might be different)
y is the price of the drink
Please is for 30 points
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]
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 =
What’s the answer?????20 points!!!!
Answer:
i think 6,300
Step-by-step explanation:
Answer:
I believe the answer is c <3
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
Please help me answer this
Answer:
The answer is B
Step-by-step explanation:
Btw if its wrong im sorry
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
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
8. Calir read for 4 hours last week. Luiz
read 6 times as long. Which equation
would show how long Luiz read?
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
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 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
In which number does the digit 6 have a value that is 10 times as great as the value of the digit 6 in 283,691?
360,281
486,732
573,674
678,832
HELP GUYS PLEASE!!!!!!!!
Answer:
B. 486,732
__________________________________________________________
SolveTo solve digit problems, multiply the value of the digit example: tens place, hundreds place by 10 to get to the next digit, and then you will have your answer.
[tex]600 * 10 = 6,000~-- > ~thousands~place[/tex]
Therefore, the answer would be B. because it has a 6 in the thousands place.
__________________________________________________________
Questions?Ask in comments.
486,732 is the number in which the digit 6 have a value that is 10 times as great as the value of the digit 6 in 283,691. Option B is correct.
To find the number in which the digit 6 has a value that is 10 times as great as the value of the digit 6 in 283,691, we need to compare the place values of the digit 6 in both numbers.
In the number 283,691:
The 6 is in the hundreds place.
Now let us multiply this place with 10.
100×10 = 1000.
Find the number in which the digit is in 1000 place.
In the number 486732, the 6 is in 1000 place.
Hence, Option B is correct. 486,732 is the number in which the digit 6 have a value that is 10 times as great as the value of the digit 6 in 283,691.
To learn more on Number system click:
https://brainly.com/question/1763119
#SPJ3
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
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:
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
Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3 miles per hour. Which equation models the total distance, D, Sarah travels after hiking for an additional h hours?
Answer:
D=3h+5
Step-by-step explanation:
Given: The rate of increasing speed = 3 miles per hour
The distance she traveled before stopping = 5 miles
Let h represents the number of additional hours for hiking.
Then the equation that models the total distance 'D' Sarah travels after hiking for an additional h hours is given by :-
D=3h+5
Answer:
D = 3h + 5
Step-by-step explanation:
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
Help 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 :)
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
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
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!
Which function is the inverse of f(x)=-5x-4
multiplication of -5 and x
on a blueprint, the bedroom wall is 6 in long. the scale factor is 1 to 24. what is the length of the actual wall?
A. 144 inches
B. 4 inches
C. 24 inches
D. 6 inches
Answer:
A
Hope This Helps! :)
Answer:
B. 4 inches
Step-by-step explanation:
(24)(1) / 6 = 4
Mr. Emmer gave a test in his chemistry class. The scores were normally distributed with a mean of 82 and a standard deviation of 4. What percent of students would you expect to score between 82 and 90?
Answer:
95.45%
Step-by-step explanation:
Honestly I looked it up I hope it helps though and best of luck! : )
Answer:
47.5% I just took it
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]
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]
What is the difference between the mean and the median of the following set of numbers {7, 28, 9, 11, 5}
Answer:
Mean - 12
Median - 9
Mean - Median = 3
Step-by-step explanation:
math
Use 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.
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 cm³