Answer:
y=x+2
y=-x+8
Step-by-step explanation:
A powerboat heads due northwest at 13 m/s with respect to the water
across a river that flows due north at 5.0 m/s.
What is the velocity (both magnitude and direction) of the motorboat with
respect to the shore?
9514 1404 393
Answer:
16.9 m/s N 32.9° W
Step-by-step explanation:
The resultant magnitude can be found from the law of cosines. The internal angle between the boat's heading and the river flow is 135°, so the magnitude of the boat's net speed is ...
v² = 5² +13² -2·5·13·cos(135°) ≈ 285.924
v = 16.9093 . . . . m/s
The angle (α) between the boat's heading and the resultant velocity can be found from the law of sines.
sin(α)/5 = sin(135°)/16.9093
α = arcsin(5/16.9093×sin(135°)) ≈ 12.07°
The boat's actual heading will be this angle less than the 45° angle the heading makes with due North.
45° -12.07° = 32.93°
The boat's velocity with respect to shore is about ...
16.9 m/s N 32.9° W
Give the slope between the points
(-5,-3) (-1,-8)
IL Directions: Encircle the letter of the correct answer.
1. When you add the decimal numbers 0.25, 0.033 and 1.78 the result is ?
A. 0.263
B. 0.0263
C. 2.063
D.2.2063
2. What is the difference when 43.67 is subtracted from 125.5?
A. 81.83
B. 81.17
C. 81.87
D. 81.57
3. Valerie, Gianna and Candice went to school clinic to find out their weights. Valerie's weight is 28.58
kilograms, Gianna's weight is 30.55 kilograms and Candice's weight is 25.48 kilograms. What is the total
weight of the three pupils?
A. 84.61 kilograms B. 84.16 kilograms C. 59.13 kilograms D. 54.06 kilograms
4. Keziah spent P24.85 for sandwich and P11.20 for juice. How much change did he receive if she gave the
vendor P100?
A. P 63.05
B. P 63.95
CP 73.05
D.P 73.95
5. At 6:00 in the morning, the temperature was 23.8 °C. At 12:00 noon, the temperature rose by 5.7°C. What
was the temperature at 12:00 noon?
A. 29.5 °C
B. 18.1 °C
C. 33.5 °C
D. 35.5 °C
Answer:
The answers are as follows:
1 . Option C: 2.063
2. Option A: 81.83
3. Option A: 84.61 kilograms
4. Option B: P63.95
5. Option A: 29.5°C
Step-by-step explanation:
Lets look at the questions one by one.
1. When you add the decimal numbers 0.25, 0.033 and 1.78 the result is ?
The question simply requires adding the three quantities.
The result is 2.063
Hence, Option C is correct.
2. What is the difference when 43.67 is subtracted from 125.5?
Subtracting 43.67 from 125.5, we get
125.5 - 43.67 = 81.83
Hence,
Option A is correct
3. Valerie, Gianna and Candice went to school clinic to find out their weights. Valerie's weight is 28.58 kilograms, Gianna's weight is 30.55 kilograms and Candice's weight is 25.48 kilograms. What is the total weight of the three pupils?
Adding all the weights
28.58+30.55+25.48 = 84.61
Hence, Option A is correct.
4. Keziah spent P24.85 for sandwich and P11.20 for juice. How much change did he receive if she gave the vendor P100?
For this first we have to calculate the total cost
24.85+11.20 = 36.05
Now to find the change he will get
Subtracting total expense from 100
100-36.05 = 63.95
Hence, Option B is the correct answer.
5. At 6:00 in the morning, the temperature was 23.8 °C. At 12:00 noon, the temperature rose by 5.7°C. What was the temperature at 12:00 noon?
The sum of temperature at 6:00 and the rise will tell us the temperature at 12:00
So,
23.8+5.7 = 29.5
Hence,
Option A is correct
The answers are as follows:
1 . Option C: 2.063
2. Option A: 81.83
3. Option A: 84.61 kilograms
4. Option B: P63.95
5. Option A: 29.5°C
PLEASE HELP! THE FIRST PERSON WHO HELPS ME WILL HAVE GOOD LUCK!
Answer: The 3/8 image will go with the answer 3/4 x 1/2. The The 3/16 image will go with the answer 1/4 x 3/4. And finally, the 4/9 image goes with the answer 2/3 x 2/3. You’re welcome. :)
Step-by-step explanation:
A grocery store recently changed their apple supplying vendor. The vendor told the store manager that the mean weight for each apple is bell-shaped with # mean of 7.5 ounces and a standard deviation of 1.33 ounce (a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples? (b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces? (c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b? Explain it.
Answer:
b) 0.0042495
c) 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
Step-by-step explanation:
mean of 7.5 ounces and a standard deviation of 1.33 ounce
When random number of samples are given, we solve using z score with the formula
= z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?
(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√25
z = (8.2 - 7.5)/1.33/5
z = 2.63158
Probability value from Z-Table:
P(x<8.2) = 0.99575
P(x>8.2) = 1 - P(x<8.2) = 0.0042495
(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?
For n= 10
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√10
z = 1.66436
Probability value from Z-Table:
P(x<8.2) = 0.95198
P(x>8.2) = 1 - P(x<8.2) = 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
Butch wanted to buy a book about football. The book was $25.00 new. His friend Jake
told him to check the used book store. The book was $15.00 used. What percentage
was the book marked down?
OA
60%
О В.
40%
O C.
33%
OD.
25%
Answer:
B) 40%
10 is 40% of 25.
Answer:
40%
Step-by-step explanation:
Based on your measurements in question 1, what is the relationship between the diagonals of parallelogram ABCD
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
PLATO
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
edmentum
Slope is - 1 and (0, 2) is on the line
jack was 8 years older than priscilla. together their ages totaled 154 years. what were their ages?
Answer:
Jack is 81, Priscilla is 73
Step-by-step explanation:
Because their age difference is 8 years, we can subtract 8 from the total 154 years to get 146. Then we divide by 2 to get 73, so Priscilla is 73. Jack is 8 years older, so therefore he is 81. We can check this by adding 81 + 73 = 154.
May someone help me with this please?!
Factor the polynomial function over the complex numbers.
f(x)=x4+3x2−4
Enter your answer in the box.
f(x)=
Answer:
14
Step-by-step explanation:
I am pretty sure its 14 if not im so sorry
help pls! thank u! <3
Answer:
she completed 29
Step-by-step explanation:
if she completed 8 in 6 she made 2 more so you add 2 to the 27 which is 29 hope that is the answer
16. [-12 Points]
DETAILS
CURRENMEDMATH11 3.S.001.
Solve the equation. A calculator may be used.
Express your answer to the nearest tenth.
0.8 1.4.
X
0.45 1
Express your answer to the nearest hundredth.
1.4
0.8
Х
0.45
=
1
Answer:
Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.
Scale is 1cm=8km
Hatboro and Smithville are 24cm apart on the map. What is the actual distance between the 2 cities
Answer:
192 km
Step-by-step explanation:
the same ratios apply to the situation
if 1 cm is 8 km, 24 cm could be calculated using ratios
1/8 = 24/x
Which of the
following represents
this graph?
A. y = (x+11
B. y = |x-1|
c. y = xl-1
D. y = |x|+1
Answer:
A. y=|x+1|
Step-by-step explanation:
what I like to use when figuring these out(mainly for homework) is a website called Desmos. You basically just plug in whatever equation/expression in and it will graph it for you. My Algebra teacher even allows me to. So all I did was plug in each equation until it matched the graph presented. Hope this helps!
The equation represented by the graph is y=|x+1|
How to determine the equation?The equation is an absolute value graph
The parent function of an absolute value graph is:
y = |x|
The above function is shifted to the left by 1 unit.
This transformation is represented by y=|x+1|
Hence, the equation represented by the graph is y=|x+1|
Read more about function transformation at:
https://brainly.com/question/17586310
#SPJ2
The number 1.255 is an example of a terminating or repeating
decimal number?
Answer:
Terminating
Step-by-step explanation:
Since the number ends exactly after 3 decimal places, it is a terminating decimal number.
On the other hand, repeating decimal numbers are numbers such as 2.33... or 8.66... that repeat the number forever.
So, the number 1.255 is terminating.
slope = 3, y-intercept = -1
Answer:
y = 3x - 1
Step-by-step explanation:
Well I really don't understand what you're asking, but I'll give it a go.
y = 3x -1
That's what the equation would look like.
Hope this is what you wanted!!!
best answer get brainly
Farrell football team has a total 30 uniform shirts.20% of the uniforms are medium-sized how many uniforms are medium?
Answer:
I would believe that it would be close 7 whatever is closest to seven bro
Answer:
12
Step-by-step explanation:
20%=2/5
2/5 is equivalent to 12/30
therefore 12 uniforms are medium
What’s is the rate of change for the line that goes through the points (8,14) and (11,19.25)
Answer:
Rate of Change / Slope = 1.75 (or 7/4)
Step-by-step explanation:
Slope is Rise/Run which is (y2-y1)/(x2-x1). When we plug in both ordered pairs, we get (19.25-14)/(11-8)=5.25/3=1.75 as the slope.
The rate of change is the ratio of the rise and the run of the line. Hence, the rate of change of the line is 1.75
Rate of change = (Rise / Run)Rise = y2 - y1 = (19.25 - 14) = 5.25
Run = x2 - x1 = (11 - 8) = 3
Rate of change = (5.25 / 3) = 1.75
Therefore, the rate of change for the line is 1.75
Learn more : https://brainly.com/question/18904995
Y+2=-3(x-4) what’s the missing value? (_,-2)
Answer:
12
Step-by-step explanation:
Distrubute (y +2 = -3x + 12)
subtract 2 on both sides ( y +2 = -3x + 12 )
-2 -2
conbine like terms (y = -3x + 10)
Answer:
4
Step-by-step explanation:
it worked, it is not 12
What is the lcm of 9,18 and99
Answer:
18,11
Step-by-step explanation:
918 is the lcm 18 and 99 is the lcm 11
PLZ HURRY IT'S URGENT!!!
The USC basketball team scored over 100 points in its last game. Some baskets, x, were worth 2 points and other baskets, y, were worth 3 points. Write an inequality to represent the score.
options:
2x+3y 100
2x+3y≤100
2. For the inequality y
options:
True
False
Answer:
its 2x+3y>100
Step-by-step explanation:
BTW the greater than sign is greater than or equal to I just cant input that sign so make sure the sign is > with a line underneath it.
3.
1
y=x+3
1
slope: +: y-intercept: 3
4
B slope: 4; y-intercept: -3
1
slope: ; y-intercept: -3
D slope: 4; y-intercept: 3
PLEASE HELP ME
Answer:
A
Step-by-step explanation:
remember y=Mx+b where M is slope mad B is y intercept
What percent is Rs15 of Rs 60?
Answer:
25%
Step-by-step explanation:
25% of 60 = 15
Out of 65 players, 11 play basketball only, 11 play both basketball and cricket. The
players who play cricket is twice the number of players who play basketball. By using
diagram find the number of players who play cricket only and who don't play both the game
Answer:
22
Step-by-step explanation:
you see that there are 11 basketball players. So that means you need to multiply 11 and 2 which equals 22.
What is <2 if <4 is 35
Answer:
2 is 17.5
Step-by-step explanation:
bc the half of 4 is 2 since 4 is 35 we have to find the half of 35 and how we do that is by dividing it by 2.
35%2=17.5 so 2 is equal 17.5 so <2 is 17.5
(5 marks)
b) Anthony plans to take up business and purchase a shop lot near his home. He saves
RM10,000 in an account that pays 6% compounded every four months. Four years
later, he withdrew all his money to pay for the down payment of the shop lot.
D)
Find the value of the down payment.
(3 marks)
I thought this right but sorry if it is wrong
first make the 6% in amount by 6×10,000÷100=3600
then, the convert 4 year into month by (4×12)=48month. after that divide 48months by 4 month.i.e.48÷4=12.at last multiply 12 by 3600.i.e. 12×3600=43200
Lorenzo increases all the prices on his restaurant menu by 8%
Before the increase, the price of a dessert was £4.25
Work out the price of the dessert after the increase.
Answer:
4.59
Step-by-step explanation:
The question requires the price of the desert after the increase
price of the dessert after the increase is £4.59
Price before increase = £4.25
Percentage increase = 8%
Amount of increase = 8% of 4.25
= 8/100 × 4.25
= 0.08 × 4.25
= £0.34
Price after increase = Price before increase + Amount of increase
= £4.25 + £0.34
= £4.59
Read more:
https://brainly.com/question/24273555
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?
Answer:
n = 1, this means the interest compounds ANNUALLY.
Step-by-step explanation:
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?
Compound Interest Formula
: A = P(1 + r/n)^nt
A = Amount after time t
P = Principal (Initial Amount Invested)
r = Interest rate
n = Number of times the interest is compounded
t = time in years
A = $30,541.83
r = 4.6% = 0.046
t = 30
P = $7,924
Hence,
$30,541.83 = $7924(1 + 0.046/n)^30n
Divide both sides by 7924
$30,541.93/$7924 = (1 + 0.046/n)^30n
$30,541.93/$7924 = (n + 0.046/n)^30n
3.8543576477 = (n + 0.046/n)^30n
We take the logarithm of both sides
log 3.8543576477 = log (n + 0.046/n)^30n
Solving for n,
n = 1
Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.
What are the coordinates of point R?
Answer:
The last one (-1,5)
Step-by-step explanation:
From (0,0), the R coordinate is one to the left meaning the x is negative and five up which means the y is positive 5 so... (-1,5) is the new location of R.
if the endpoints of AB are A(-2,3) and B(1,8), which shows the correct way to determine the coordinates of point C,
the midpoint of AB?
Answer:
(-1/2 , 5/2)
Step-by-step explanation:
=(-2+1)/2,(-3+8)/2
=(-1/2 , 5/2)