Answer:
y = + 4
Step-by-step explanation:
y² - x = 7 ← substitute x = 9 into the equation
y² - 9 = 7 ( add 9 to both sides )
y² = 16 ( take square root of both sides )
y = ± [tex]\sqrt{16}[/tex] = ± 4
the positive value of y when x = 9 is + 4
Answer:
4
Step-by-step explanation:
when x = 9:
⇒ y² - 9 = 7
⇒ y² = 7 + 9
⇒ y² = 16
⇒ y = √16
⇒ y = ±4
Therefore, the positive value of y = 4
An aeroplane X whose average speed is 500°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then changes its course and flies on a bearing 120° to an airstrip A. Another aeroplane Y leaves kano airport at 10.00am and flies on a straight course to the airstrip A. both planes arrives at the airstrip A at 11.30am. calculate the average speed of Y to three significant figures. the direction of flight Y to the nearest degree
Answer:
72
Step-by-step explanation:
7. Given b= 4, c = 10, and A = 34 degrees, use the Law of Cosines to solve for a. Round your answer to the nearest whole number.
8. Given a = 11, C = 131 degrees, and b = 8, use the Law of Cosines to solve for c. Round your answer to the nearest tenth.
9. Given c = 9.6, b = 5.9, and a = 10.5, use the Law of Cosines to solve for C. Round your answer to the nearest degree.
Answer: (7) 7.0 (8) 17.3 (9) 64.7°
Step-by-step explanation:
Law of Cosines is: a² = b² + c² - 2bc · cos A
or: b² = a² + c² - 2ac · cos B
or: c² = a² + b² - 2ab · cos C
7) b = 4, c = 10, ∠A = 34
a² = b² + c² - 2bc · cos A
= 4² + 10² - 2(4)(10) · cos 34°
= 16 + 100 - 80 (0.829)
= 116 - 66.323
= 49.677
a = [tex]\sqrt{49.677}[/tex]
a = 7.0
8) a = 11, b = 8, ∠C = 131
c² = a² + b² - 2ab · cos C
= 11² + 8² - 2(11)(8) · cos 131°
= 121 + 64 - 176 (-0.656)
= 185 + 115
= 300
c = [tex]\sqrt{300}[/tex]
c = 17.3
9) a = 10.5, b = 5.9, c = 9.6
9.6² = 10.5² + 5.9² - 2(10.5)(5.9) · cos C
92.16 = 110.25 + 34.81 - 2(10.5)(5.9) · cos C
92.16 = 145.06 - 123.9 cos C
-52.9 = -123.9 cos C
0.427 = cos C
cos⁻¹ (0.427) = C
64.7° = C
Answer:
Answer:
A.
B.
C.
Step-by-step explanation:
We have been given inverse trigonometric functions. We are asked to find the value of each function.
A.
We will use inverse sin to solve our given equation as:
Round to nearest degree:
B.
We will use inverse tann to solve our given equation as:
Round to nearest degree:
C.
We will use inverse cosine to solve our given equation as:
Round to nearest degree:
Step-by-step explanation:
The following data are the distances between a sample of 20 retail stores and a large distribution center. The distances are in miles.
29; 32; 38; 40; 58; 67; 68; 69; 76; 81; 85; 95; 96; 96; 99; 106; 112; 127; 145; 150
Find the value that is one standard deviation below the mean. (Round your answer to one decimal place.)
Please help!!!!
Mean = sum of all numbers / 20 = 1669 / 20 = 83.45
Standard deviation = 7.86
Z-score = -1
So...
Z = (x - mean) / standard deviation
x = Z * standard deviation + mean = -1 * 7.86 + 83.45 = 75.59
Rounded: 75.6
Finding the slope intercept form of the line passing through the point ( 7,-2 ) and parallel to the line
Answer:
y = -8x + 54
Step-by-step explanation:
Since the lines are parallel, their slopes are the same, leaving you with y = -8x.
That equation at x = 7 would make y -56, but we want it to be -2. Therefore we add a 54 in the end, leaving you with y = -8x + 54.
I hope this helped.
my h shopping bill come to fourteen pounds and eight-six peace how much change should i receive from 20 pounds note
Answer:
5 pounds 14 pence
50 -19= 31
Step-by-step explanation:
Payton bought new headphones originally listed for $90.99. They are 25% off. Which equation can be used to find the amount Payton will save?
Answer:
90.99x25/100
Step-by-step explanation:
or 90.99x25%
cual es la raiz cuadrada de 64???
Hey there! Hola!
Let's find the square root of 64:
[tex]\sqrt{64}[/tex]
Basically, what number times itself equals 64? that's the answer.
That number is 8.
Hence, the square root of 64 is 8.
La raiz cuadrada de 64 es 8.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\tt{Amiable}[/tex]
Suppose you were to collect data for each pair of variables listed below. You want to make a scatterplot. Which variable would you use as the explanatory variable and which as the response variable? Why? What would you expect to see in the scatterplot? Discuss the likely direction, form, and strength. a) Cell phone data plans for a person who wants a large file size: file size, cost b) Lightning strikes by a person watching a lightning storm: distance from lightning, time delay of the thunder c) A streetlight that you are approaching: its apparent brightness, your distance from it d) Cars being catalogued at a dealership: weight of car, age of owner
Answer and explanation:
1. Cost is response variable while file size is explanatory variable. Cost is response variable here because it is the dependent variable and the other is the independently variable that affects the dependent variable cost. The scatter plot will show how much cost increase with each change in file size. Scatter plot is in positive direction and strong
2. Time of delay of thunder is response variable while distance from lightning is explanatory variable. Time of delay is dependent variable while the other is independent variable which affects it. Scatter plot shows how much delay of thunder changes with change in distance from lightning. Positive scatter plot and strong
3. Your distance from it is explanatory variable while apparent brightness is response variable. Distance from it is independently variable while the the other is dependent variable. Scatter plot shows change of brightness with each change of distance. Negative direction as distance increase results in brightness decrease. It is strong.
4. weight of car is response variable while age of owner is explanatory variable. Weight of car is dependent variable while the other is independent variable. Scatter plot shows change of weight of car with change of age of owner. Positive direction as one increases the other increases. Strong
What is the correct interpretation of the probability of getting an 11 when a pair of dice is rolled? Interpret an event as significant if its probability is less than or equal to 0.05.
Answer:
1/18
Step-by-step explanation:
We are considering that we have 2 dices with 6 faces each (so, the probability to getting any face in any dish is 1/6). To get an 11, we only have two ways to obtain it:
Dice 1= 6 and Dice 2 =5 or Dice 1= 5 and Dice 2 =6
So, the probability of the event is given as:
P(Dice1=5 ∧ Dice2=6) ∪ P(Dice1=6 ∧ Dice2=5) = P(Dice1=5) x P(Dice2=6) + P(Dice1=6) x P(Dice2=5) = 1/6 x 1/6 + 1/6 x 1/6 = 1/36 + 1/36 = 2/36 = 1/18.
As 1/18 = 0,055, and 0,055 > 0,05, we consider the event as not significative (according to the definition of significance in the sentence).
Consider the following equation. 4x + 2 = 8x - 5 Which equation and explanation could represent a step in finding the value of x? (4x) + 2 = * (8x) - 5 Use the multiplication property of equality to simplify the variable term on the left side of the equation. 4x + 2-5= 8x - 5 + 5 Use the addition property of equality to move the constants to one side of the equation. 11 / + 2 (4x + 2) = | (8x - 5) Use the multiplication property of equality to simplify the variable terms on both sides of the equation. O 4x + 2 - 4x = 8x - 5 - 4x Use the addition property of equality to move the variables to one side of the equation.
Answer:
Step-by-step explanation:
Given the expression 4x+2 = 8X-5. To find the value of x, we need to follow the steps;
Sep 1:
Add 5 to both using addition property to move 5 to both sides
4x+2+5= 8x-5+5
4x+7 = 8x
Step 2:
Collect like terms
4x-8x = -7
-4x = -7
Step3:
Divide both sides by -4
-4x-4 = -7/-4
x = 7/4
Your friend has a bag of marbles. Your friend says that there is a 100% chance that you pick out a red marble and a 0% chance that you pick a green one.
What can you conclude about the colors of the marbles inside of your friend's bag?
Can you determine exactly how many marbles are in the bag? Why or why not?
Answer:
1. They are all red. 2. There is no possible way to come to a conclusion
Step-by-step explanation:
If there is a 100% chance you will draw a red marble, they all have to be red or it would not be a 100% chance.
We can't conclude how many marbles are in the bag because the question states nothing about how many marbles there are.
I need explain in this one please and i need the answers
Check the picture below.
What is the constant rate of change of the
function represented in the table?
Answer: it is -4 or c
Step-by-step explanation:
Rectangle A has a length of 2 and a width of 10. Rectangle B has a length of 4
and a width of 5. Rectangle A and Rectangle B (doing a test please answer fast)
Answer: dang bro i never do flvs that early in school. Sorry my guy i got no answer to that. Im quite dumb myself in math
Step-by-step explanation:
Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green.
Okay, I am going to answer this question personally.
Suppose we want to choose 3 colors, without replacement, from the red, blue, green, and purple.
(a) How many ways can this be done, if the order of the choices is taken into consideration?
(b) How many ways can this be done, if the order of the choices is not taken into consideration?
Answer
(a) 6 choices
(b) 3 Choices
Given:
3 Colors
Order of choice : Red, Blue, Green
(a) Order of the choices taken into consideration :
When we are picking the first colour there are 3 color choice.
When we are picking second colour there are 2 choice and so on.
Therefore, total choices are = 3*2 = 6 choices
(b) Order of the choices not taken into consideration :
When to take this option we choose as and the remove the duplicates
Therefore, choices are 3 Choices
Consider giving Brainliest, please.
The sum of two numbers is 33. One number is 2 times as large as the other
Answer:
11 and 22
Step-by-step explanation:
x + y = 33
y = 2x
x + 2x = 33
3x = 33
x = 11
Simplify x - 1 / 5(x - 1)^2
Answer:
1/5(x-1)
Step-by-step explanation:
cancel x-1
then we get
1/5(x-1)
If not understand comment below.
21. A store display will have 6 rows, with 12 containers in each row.
If 39 containers has been set up so far, explain how to find the
number of containers that still need to be set up. Then solve the
problem.
Six chicken sandwiches and four drinks cost $16.00. Six chicken sandwiches
and two drinks cost $14.00. How much is a chicken sandwich?
Answer:
$2.67
Step-by-step explanation:
16 ÷ 6 = 2.66666666667
2.67 x 6 = 16.2
(well, it was close.)
Sorry if it's wrong.
Bye, have a great day.
plus help me its really simple ill give you the brainiest
Answer:
Whole Numbers
Step-by-step explanation:
Whole numbers is the only set of numbers in the following choices that don't include negative numbers (only positive integers and zero). Therefore, since -7 is negative, it doesn't belong to whole numbers!
PLEASE HELP WILL GIVE BRAINLIEST TY
You go to the doctor and he gives you 15 milligrams of radioactive dye. After 20 minutes, 7.25 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm.
If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived?
Give your answer to the nearest minute.
How many minutes will you spend at the doctor's office?
Answer:
=34 minutes.
Step-by-step explanation:
Done according to my own understanding!
15mg - 7.25mg = 7.75mg
7.75mg / 20min = 0.3875mg per minute
7.25mg - 2mg = 5.25mg
5.25mg / 0.3875mg = 13.5483871 minutes
13.5483871 minutes + 20 minutes = 33.5483871 minutes
=34 minutes.
A restaurant has square tables. Only one person can sit on either end of the table.
Now
Write out the formula to show how you to work out the "number of people" from the number of tables.
Someone making the booking for 20 people. How many tables must be pushed together?
Answer:
10
Step-by-step explanation: Because 10x2=20
so in this case if they were to push the tables togther only 1 can sit at one square table if there pushed together
unless each table held 2 people like one on one side and one on the other it would be the same formula because 10 on one side of the tables and 10 on the other side would be 10x2
10+10=20 or 10x2=20
ethier one would be the same
hope this helps you!
answer quick! ......................
Answer:
10 units up
Step-by-step explanation:
An example of this is where the graph changes from (0,0) to (0,10)
Have an amazing day!
PLEASE RATE!!
7. Which of the following is true about the set of all solutions for f(x) = 4x?
Select all that apply.
A. It is continuous,
B. It is linear
C. It is exponential
D. The point (1,4) falls on the graph,
E. The point (4,0) falls on the graph,
Answer:
B.It is linear 180=3x2+24x+36
Step-by-step explanation:
what is the distance between points (4,0) and (8,-5)
Answer:
(4,5)
Step-by-step explanation:
mikes deli just sold 328 ham sandwiches this week. around how many ham sandwiches did mike sold every day this week?
Answer:
46.9
Step-by-step explanation:
328/7 = 46.9
To double check: 46.9 x 7 = 328
Have an amazing day!!
PLEASE RATE!!
x <-8
Graph the inequality
Answer:
<--------
<----|---|---|---|---|---|---|----------
-9 -8 -7 -6 -5 -4 -3
Step-by-step explanation:
The graph of y = f ′(x), the derivative of f(x), is shown below. List the intervals where the graph of f is concave down.
(–4, –2) U (2, 4)
(–2, 2)
(–4, 0)
(0, 4)
Answer:
(a) (–4, –2) U (2, 4)
Step-by-step explanation:
A graph is concave down where its second derivative is negative. That will be where the slope of the first derivative is negative.
Your graph shows the first derivative has negative slope at the left and right ends. The function f(x) will be concave downward on those intervals:
(–4, –2) U (2, 4)
Choose bank, credit union, or both for each statement below:
Must be part of a specific member group to join
Profits are given to shareholders
Offer checking and savings accounts, CDs, loans
Deposits are insured up to $250,000
Fees tend to be higher
Interest customers earn on deposits tends to be higher
Answer:
Must be part of a specific member group to join . - CREDIT UNION.
Credit Unions require that you are a member of a member group to join as well as other entry requirements unlike a bank where the qualification rules are less stringent.
Profits are given to shareholders . - BANK.
A Bank is owned by its investors and shareholders so they will have to distribute profits to them unlike a Credit Union that is owned by its members.
Offer checking and savings accounts, CDs, loans . BOTH.
Both Credit Unions offer these financial products and accounts.
Deposits are insured up to $250,000 - BOTH.
Both of these types of Institutions are insured up to $250,000 by the United States Governments. Credit Unions are insured by the National Credit Union Share Insurance Fund (NCUSIF) and banks are insured by the FDIC (Federal Deposit Insurance Corporation).
Fees tend to be higher . BANKS.
Banks are for profit institutions so they will charge higher fees to make more profit for their investors.
Interest customers earn on deposits tends to be higher. - CREDIT UNIONS.
Credit Unions earn higher deposit interest for customers because they are not-for-profit so do not have to offer less rates to keep more money for their investors.
Bank, credit union, or both have been for each of the statements below:
Credit Union: Must be part of a specific member group to join. Banks: Profits are given to shareholders. Both: Offer checking and savings accounts, CDs, loans. Both: Deposits are insured up to $250,000. Banks: Fees tend to be higher. Credit Unions: Interest customers earn on deposits tends to be higher.Meaning of Banks and Credit UnionBanks are financial institutions that have licenses to accept deposits from customers and provide loans when the conditions are met.
Credit Unions, on the other hand, are not operated for the purpose of making profits. They are formed by members who hold an agreement and their methods of operation are similar to the commercial banks.
In the given points above the similarities and differences between these two financial institutions are shown.
Learn more about Banks here:
https://brainly.com/question/14368059
Subtract 3 2/5 from 5 3/4
Answer:
[tex]-2\frac{7}{20}[/tex]
Step-by-step explanation:
Given the following question:
[tex]3\frac{2}{5} -5\frac{3}{4}[/tex]
To find the answer we first need to convert the mixed numbers into improper fractions, find the common denominator, subtract the denominators, and of course convert the improper fraction back into a mixed number.
[tex]3\frac{2}{5} -5\frac{3}{4}[/tex]
[tex]3\frac{2}{5}=5\times3=15+2=17=\frac{17}{5}[/tex]
[tex]5\frac{3}{4} =4\times5=20+3=23=\frac{23}{4}[/tex]
[tex]\frac{17}{5} -\frac{23}{4}[/tex]
Find the common denominator:
[tex]CD=20[/tex]
[tex]\frac{17}{5} \times4=\frac{68}{20}[/tex]
[tex]\frac{23}{4} \times5=\frac{115}{20}[/tex]
[tex]\frac{68}{20} -\frac{115}{20}[/tex]
[tex]68-115=-47=-\frac{47}{20}[/tex]
[tex]=-\frac{47}{20}[/tex]
Convert the improper fraction into a mixed number:
[tex]-\frac{48}{20}[/tex]
[tex]-\frac{47}{20} =47\div20=-2\frac{7}{20}[/tex]
[tex]=-2\frac{7}{20}[/tex]
Your answer is "-2 7/20."
Hope this helps.
[tex]2\frac{7}{20}[/tex] is the mixed number we get by subtracting [tex]3\frac{2}{5}[/tex] from [tex]5\frac{3}{4}[/tex].
To subtract [tex]3\frac{2}{5}[/tex] from [tex]5\frac{3}{4}[/tex], we first need to convert both mixed numbers to improper fractions.
[tex]5\frac{3}{4}[/tex] = (4 × 5 + 3) / 4 = 23/4
[tex]3\frac{2}{5}[/tex] = (5 × 3 + 2) / 5 = 17/5
Now we can subtract the two fractions:
23/4 - 17/5
To subtract fractions, we need to have a common denominator.
The common denominator for 4 and 5 is 20.
We'll convert both fractions to have a denominator of 20:
23/4 = (23 × 5) / (4 × 5) = 115/20
17/5 = (17 × 4) / (5 × 4) = 68/20
Now we can subtract the fractions:
115/20 - 68/20
= (115 - 68) / 20
= 47/20
=[tex]2\frac{7}{20}[/tex]
To learn more on Fractions click:
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