The data table represents the distance between a well-known lighthouse and a cruise ship over time. The cruise ship is travelling at uniform speed. Which equation represents the distance (y) from the lighthouse, based on the number of hours (x)? Number of Hours Distance from Lighthouse (in oceanic miles) 2 53 4 95.5 6 138 8 180.5 10 223 12 265.5 14 308 16 350.5 A. y = 42.5x + 10.5 B. y = 10.5x + 32 C. y = 21.25x + 10.5 D. y = 12.25x + 28.5 E. y = 12.5x + 10.5
Answer:
ddd
Step-by-step explanation:
A pair of dice is rolled. Determine the probability of a result with: i. one die showing a 4 and the other a 5?
Answer:
2/11
Reasoning, there are 36 possible (and equally likely) combinations that we can obtain from two dice. Of these 11 (1,5 2,5 3,5 4,5 5,5 6,5 5,6 5,4 5,3 5,2 5,1) would allow us to ‘know’ that “one dice (not necessarily the first) has shown a 5”. Of these 11 possibilities only two also contain a 4. So the probability is 2/11
Step-by-step explanation: have a good day
Deondra needs to order some new supplies for the restaurant where she works. The restaurant needs at least 624 glasses. There are currently 344 glasses. If each set on sale contains 20 glasses, write and solve an inequality which can be used to determine ss, the number of sets of glasses Deondra could buy for the restaurant to have enough glasses
Writing and solving an inequality to model the situation, it is found that Deondra could buy 14 sets of glasses for the restaurant to have enough glasses.
There are currently 344 glasses.In each set bought, there are 20 glasses.Hence, the total of glasses after s sets are bought is given by:
[tex]T(s) = 344 + 20s[/tex]
The restaurant needs at least 624 glasses, hence:
[tex]T(s) \geq 624[/tex]
[tex]344 + 20s \geq 624[/tex]
Solving the inequality:
[tex]344 + 20s \geq 624[/tex]
[tex]20s \geq 280[/tex]
[tex]s \geq \frac{280}{20}[/tex]
[tex]s \geq 14[/tex]
Deondra could buy 14 sets of glasses for the restaurant to have enough glasses.
A similar problem, in which an inequality is used to model a situation, is given at https://brainly.com/question/25235995
If
you
invest $100 in an index fund that earns an average annual rate of
return of 12.3% compounded monthly. You make a regular monthly
contributions of $25, how much will your investment be worth in 52 years?
Answer Interest rate = 12.3%
The compound interest formula is given by:
Where
A = Future amount
P = Present amount (Principal amount)
r = Interest rate in decimal form
n = No. of times compounded per year
t = time in years.
We can say that if:
Present amount = P
Future amount = 3P
r = 12.3/100 = 0.123
n = 1
t = ?
Substitute the values in the formula of compound interest:
Taking log on both sides.
Round off to nearest option
t ≅ 9 years
Amy was scheduled for 12 intervals this week. One her first interval, she had a technical issue that prevented her from working for 15 minutes. This issue was reported to a diagnosed by Arise Technical Support, in which they issued an individual Waiver. Amy also looked at her schedule wrong, and computer missed three intervals in a row. What was her CA%
Based on the total of intervals vs the number of intervals Amy attended her CA percentage is 75%
What is the CA percentage?The CA percentage measures the commitment of an employee to be logged in during the intervals that were assigned to him/her to work.
In this way, the CA percentage is equal to 100% if the employee worked as scheduled. Moreover, this percentage can be affected by factors such as:
Technical issues.Human errors.In the case of Amy, there is a total of 12 intervals and it is known:
She had a technical issue that prevented her from working, but this was reported so it is unlikely this is considered in her CA.She missed three intervals because she looked at her schedule wrong.Based on this information, let's calculate her CA:
12 intervals = 100%9 intervals = xx = 9 x 100 / 12x = 900 / 12x = 75%Learn more about percentage in: https://brainly.com/question/8011401
Which of the following is not considered a buying incentive?
a coupon
b. display
C. prize
d. rebate
Please select the best answer from the choices provided
A
B
C
D
=============================================
Explanation:
A buying incentive is anything that encourages any potential customers to become actual customers. Ideally, those people are repeat customers down the road as well (even if such buying incentives are no longer in place).
If someone sees a coupon or a rebate, then they'll be more likely to buy the item since the price is lower. A coupon is an immediate discount right on the spot, whereas a rebate is when you get a discount later on. A rebate means you have to mail in proof of purchase, and the company will send money back. These are two ways to apply a discount.
A third way to entice customers is to offer prizes. An example of this is a "buy one get one" sale (often abbreviated as BOGO). The company may lose money doing this, but they do so in the hopes of gaining new customers. Plus word of mouth tends to spread more often when such sales occur.
With everything discussed so far, this allows us to rule out choices A, C and D. They are all some kind of way to encourage potential buyers. Choice B is the answer because a display simply shows the price and any other relevant info to the product. Displays are neutral in the sense that they don't encourage a purchase and rather just convey information. When I mention this, I'm not talking about displays that advertise discounts or coupons.
Convert 70°F to Celsius using the following formula: °C = 5/9 (°F-32).
Round your ANSWER to the nearest degree.
Select one:
a. 126°C
b. 21°C
c. 158°C
d. 53°C
Answer:
21
Step-by-step explanation:
(use you calculator)
method of bidmas should be used
5/9 (70-32) substitute the F with 70
5/9 (38) calculate the brackets first
0.555 (38) next, calculate 5/9
0.555×38=21.09 or 21.1111... finally, multiply
hope this helps
Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s account can be represented by the equation y = 25x + 125, where x is the number of weeks she has been mowing the lawn. What does the y-intercept of the graph represent in this situation?
Answer: y-int = That means the amount of money in Jana's account before she began mowing lawns.
Step-by-step explanation:
The y-intercept represents the initial money that Jana has in his account. Step-by-step explanation: Given the equation of line is . Also, Jana earns $ per week. And is the number of weeks she has been working. If we plug week in the equation . It will give us the y-intercept. That means the amount of money in Jana's account before she began mowing lawns. The y-intercept represents the initial money that Jana has in his account.
A recipe calls for 2 tsp of oatmeal to make 7 protein bars.
How much oatmeal is needed to bake 27 protein bars?
A) 3 1/3 tsp
B) 9 tsp
C) 21 tsp
D) 81 tsp
Answer:
3 1/3 is the answer im pretty sure
Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups
Answer:y=12 x=00
Step-by-step explanation:
you can not
The required equation that represents the graph is y = x + 30
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The standard linear equation is given as y = mx + b
Where,
m is the slope
b is the y-intercept
Using the coordinates (20, 50) and (40, 70)
Get the slope of the line:
m = 70-50/40-20
m = 20/20
m = 1
Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.
Therefore, the Required equation that Shows the graph is y = x + 30
Learn more about linear equations here:
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#SPJ2
find the value of x {0<x<(π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2
In attachment I have answered this problem.
The value of x {0 < x < (π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2 is x = π/4.
Since cos x /(cosec x + 1) + cos x /(cosec x - 1) = 2
Taking the L.C.M (cosecx + 1)(cosecx - 1), we have
[cosx(cosecx - 1) + cosx(cosecx + 1)]/(cosecx + 1)(cosecx - 1) = 2
[cosxcosecx - cosx + cosxcosecx + cosx]/(cosec²x - 1²) = 2
[cosx/sinx - cosx + cosx/sinx + cosx]/(cosec²x - 1²) = 2
[cotx - cosx + cotx + cosx]/(cosec²x - 1) = 2
collecting like terms, we have
[cotx + cotx + cosx - cosx ]/(cosec²x - 1) = 2
[2cotx + 0]/(cosec²x - 1) = 2
2cotx/(cosec²x - 1) = 2
cotx/(cosec²x - 1) = 1
Since cot²x + 1 = cosec²x ⇒ cot²x = cosec²x - 1
So, cotx/(cosec²x - 1) = 1
cotx/cot²x = 1
1/cotx = 1
tanx = 1
Taking inverse tan of both sides, we have
x = tan⁻¹(1)
x = 45°
x = 45 × π/180
x = π/4
So, the value of x {0 < x < (π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2 is x = π/4.
Learn more about trigonometric equations here:
https://brainly.com/question/24371132
Find m
∠
K
M
L
∠KML.
Answer:
35°
Step-by-step explanation:
The base angles of an isosceles triangle are congruent. The sum of angles in a triangle is 180°, so we have ...
2M +110 = 180
2M = 70
M = 35
The measure of angle M is 35°.
which expression has the same value as tan (-45degrees)?
Answer: B
Step-by-step explanation:
Trust
William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?
Answer:
731 miles
Step-by-step explanation:
344 miles / 8 hours = 43 mph
17 hours * 43 mph = 731 miles
PLEASE HELP WILL MARK BRAINIEST!!!!!
Answer:
a perpendicular line from a point on ab
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0
Answer:
Step-by-step explanation:
0 is not an interval, it is just the origin
hard to make an estimate without knowing the limits.
average rate of change will be Δy / Δx or (y - y₀) / (x - x₀)
as (0, 0) is the origin and appears to be on the plot line, the average rate of change will be y/x for any other point on the curve relative to the origin.
EDIT
for interval 0 ≤ x ≤ 8
at x = 8 y appears to be -24
average change is -24 / 8 = -3
Solve the system of equations -6x-y=-16 and -6x-5y=-8 by combining equations
Answer:
[tex]\left \{ {{y=-2} \atop {x=3}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{-6x - y = -16} \atop {-6x - 5y = -8}} \right. <=> \left \{ {{4y= -8} \atop {-6x-5y =-8}} \right. <=> \left \{ {{y=-2} \atop {-6x-5y=-8}} \right. <=> \left \{ {{y=-2} \atop {-6x-5*(-2)=-8}} \right. <=> \left \{ {{y=-2} \atop {-6x=-18}} \right. <=> \left \{ {{y=-2} \atop {x=3}} \right.[/tex]
Interest: Tutorial
Question
Calculate the interest earned on each simple-interest account given the original principal, annual interest rate, and the length
of time the account was held. Match each amount to the corresponding account description.
Drag each tile to the correct box. Not all tiles will be used.
Tiles
$41.85
$55.80
$36.24
$45.45
$48.00
$46.35
Pairs
$500 at 3.2% for 3 years
$450 at 3.1% for 4 years
$515 at 3% for 3 years
Answer:
$48.00$55.80$46.35Step-by-step explanation:
In each case, the answer is the product of the three given numbers.
i = Prt
a) $500×0.032×3 = $48.00
b) $450×0.031×4 = $55.80
c) $515×0.03×3 = $46.35
What is the purpose of constructing a confidence interval?
O In order to find a range of values to estimate the population
proportion.
o In order to find a range of values to estimate the sample proportion.
o To find the exact value of the population proportion.
o In order to find the exact sample proportion.
Using the interpretation of a confidence interval, it is found that the correct option is:
In order to find a range of values to estimate the population proportion.x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b. From the above bullet point, we have that the interval is taken from a sample, and is used to estimate a population parameter.Hence, the correct option is:
In order to find a range of values to estimate the population proportion.You can learn more about the interpretation of a confidence interval at https://brainly.com/question/25822483
Determine the intercepts of the line. Do not round your answers. 4x-3y=17
Answer:
[tex]\frac{17}4; -\frac{17}3[/tex]
Step-by-step explanation:
Option 1: check the intersection of the curve with both axis by plugging x=0 (y axis) and y=0 (x axis). You will get
[tex]x=0 \implies 0-3y=17 \rightarrow y=-\frac{17}3\\y=0 \implies 4x-0=17 \rightarrow x=\frac{17}4[/tex]
Option2: (my favourite. Divide by 17 both sides to write the equation as [tex]\frac xp + \frac yq = 1[/tex]: p and q will give you the two intercepts:
[tex]4x-3y=17 \rightarrow \frac{4}{17}x - \frac3{17}y = 1 \rightarrow \frac{x}{\frac{17}4}+ \frac{y}{-\frac{17}3}=1[/tex]
Again, the two intercepts are [tex]\frac{17}4; -\frac{17}3[/tex]
Answer:
The x-intercept is ( 17/4, 0 ), The y-intercept is ( 0, -17/3 ).
Step-by-step explanation:
The y-intercept of a graph is the point of intersection between the y-axis and the graph. Since the y-axis is also the line x = 0,x = 0 in the equation. x-value of this point will always be 0.
x-intercept of a graph is the point of intersection between the x-axis and the graph. Since the x-axis is also the line y=0 y=0y, equals, 0, the y-value of this point will always be
0.
To find the y-intercept, let's substitute x=0 y:4⋅0−3y=17
-3y=17
y = -17/3
So the y-intercept is (0, -17/3).
To find the x-intercept, let's substitute y = 0 into the equation and solve for x: 4x - (3⋅0) = 17
4x = 17
x = 17/4
So, the x-intercept is (17/4, 0).
In conclusion, The y-intercept is (0, -17/3).
The x-intercept is (17/4, 0).
please help me with this sample question
Answer:
Step-by-step explanation:
100y = 70.707070707...
y = 0.707070707...
100y - y = 70
99y = 70
y = 70/99
so probably your answer should be A at 0.7071
Need help
Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. What is the probability distribution for the 30 pieces of fruit, in the order listed?
Answer:
it is A bacause the fractions for that one are correct
Step-by-step explanation:
f(x)=6(-x+3), what is the value of f(-1)
Replace x in the equation with -1 and solve:
6(-(-1) + 3)
Simplify the parentheses: 6(1 + 3)
Add inside the parentheses:
6(4)
Multiply
6 x 4 = 24
Answer : 24
Whomever please
Find the perimeter of the triangle that has vertices at the points R(2,1), S (2,5), and T(4,
1). Round the answer to the nearest hundredth (2 decimal places).
A) 35.78
B) 32
C) 21.54
D)10.47
The perimeter of the triangle is 10.47 units
The distance between two points is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the points R(2,1), S (2,5), and T(4, 1). Hence:
[tex]RS=\sqrt{(5-1)^2+(2-2)^2}=4\ units[/tex]
[tex]RT=\sqrt{(1-1)^2+(4-2)^2}=2\ units\\\\ST=\sqrt{(4-2)^2+(1-5)^2}=4.47\ units[/tex]
The perimeter of the triangle = 4 + 2 + 4.47 = 10.47 units
Find out more on triangle at: https://brainly.com/question/17335144
Write the percent as fraction or mixed number in simplest form 34%
Answer: 34/100
Step-by-step explanation:
it is 34% out of 100, so it is 34/100. Reduced is 17/50
X=
Y=
Find the values of X and Y
Answer:
Y=65
X= 50
Step-by-step explanation:
180-115=65
Y=65
65+65=130
180-130=50
X =50
Can yall please help me it isn't college work it is 6th grade math
Answer:
C) 1,250
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer: To answer this we have to remember how to find the total amount of cash he will be spending. Since 19.2% is 240, we multiply that by 100. We end up with 24,000 which you will then divide by the percentage. After that, you have your final answer which is 1,250. To double-check you can make sure that 19.2% of 1,250 is 240, which it is. Therefore, your final answer is $1,250.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
Try this on for size
Step-by-step explanation:
Alvin is 9 years older than Elga. The sum of their ages is 81. What is Elga's age?
Answer:
elga is 32 and alvin is 49
[tex]\begin{gathered}\begin{gathered} \small \colorbox{grey}{\color{lightgreen}{✓\sf \,\:\,Verified \, Answer}[/tex]
Answer: ooo ok i got it. it is nice