Answer:
The correct option is;
5.89°
Step-by-step explanation:
The speed with which the plane flies = 350 mph
The direction of flight of the plane = N 40° E
The speed with which the wind blows = 40 mph
The direction in which the wind blows = S 70° E
Therefore, we have;
The resolution of the components of the motion of the plane, given as follows;
[tex]S_{Plane}[/tex] = 350 × sin(40°)·i + 350 × cos(40°)·j
The resolution of the components of the motion of the wind, given as follows;
[tex]S_{Wind}[/tex] = 40 × sin(70°)·i - 40 × cos(70°)·j
The resultant motion of the plane is given as follows;
[tex]R_{Plane}[/tex] = 262.563·i + 254.435·j
The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E
Therefore, the plane's drift = Plane's Track - Plane's Heading = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°
Therefore, the correct option is 5.89°.
Answer:
5.89
Step-by-step explanation:
so u don't have to look at that long one lol.
PLEASE ANSWER ASAP !!!!!
Answer:
y=6
x=-54
Step-by-step explanation:
count by 3
the count by 9
Answer:
y = 5x - 6
Step-by-step explanation:
The equation is in the form
y = mx + c ( m is the rate of change and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (3, 9) ← ordered pairs from the table
m = [tex]\frac{9+6}{3-0}[/tex] = [tex]\frac{15}{3}[/tex] = 5
The line crosses the y- axis at (0, - 6) ⇒ c = - 6
y = 5x - 6 ← linear equation
when (x+2)^6 is written as a polynomial, what is the coefficient of the term containing x^4
a-15
b-60
c-120
d-6
Answer:
c-120
Step-by-step explanation:
When (x+2)⁶ is written as a polynomial, the coefficient of the term x⁴ is 60.
How to expand an expression to form a polynomial?We have to expand (x+2)⁶ to form a polynomial.
A polynomial can have constants, variables and exponents, but never division by a variable.
Therefore, using pascal triangle, the appropriate row is 1 6 15 20 15 6 1.
Hence,
Substituting the appropriate powers of x and 2 gives 1x⁶2⁰ + 6x⁵2¹ + 15x⁴2² + 20x³2³ + 15x²2⁴ + 6x¹2⁵ + 1x⁰2⁶.
Finally,
x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
Therefore, the coefficient of x⁴ is 60.
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Find the slope of the line graphed below.
Type your answer as a fraction using the / if necessary.
Answer:
-3/22
Step-by-step explanation:
DESPERATE WILL GIVE BRAINLIST AND THANKS
Is this function linear or nonlinear?
y=1x
linear
nonlinear
Answer:
linear
Step-by-step explanation:
A linear function has a straight line. If you graph this is a straight diagonal line. A linear function has a independent and dependent variable. The independent variable is x, and the dependent variable is y.
Answer:
NONLINEAR i took the k12 quiz
Step-by-step explanation:
WILL GIVE BRAINLEST FOR THE FIRST AND CORRECT ANSWER!!!!!!!!!! PLEASE ANSWER ASAP!!!!!
The equation y = 1.5x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Determine whether (1.5, 1) is a point on the graph of this proportional relationship.
A. yes
B.no
Answer:
yes... PERIODT
Step-by-step explanation: i promise you its yes
Answer:
Yes
Step-by-step explanation:
Helpppp meh 6=+9+w pleasssssssssssssssse
Answer:
im assuming you're saying 6=9+w
if you are it would be w= -3 !
Explanation:
if you subtract 9 from 6, you'll get -3
6=9+w
-3 = w
Answer:
-3=w
Step-by-step explanation:
So its 6=9+w
Rearrange terms
6=9+w
6=w+9
Subtract 9 both sides
6=w+9
6-9=w+9-9
Simplify
-3=w
Hope this helps :)
What is the distance between Point K and Point L?
Answer:
( 7, 2 )
Step-by-step explanation:
I hope this helps you!
What is the value of x in the proportion
Pls give me the right answer
Felix deposited $1,340 into a savings account that earns 6% simple interest for 3 years. Find how much interest will he have earned.
Answer:
542
Step-by-step explanation:
divide it I hope it helps
Answer:
241.20 dollars
Step-by-step explanation:
Use the equation I=prt, where I is the interest and p is the percentage of simple interest, which is 6% or 0.06. T is the rate of time in years. R is the amount Felix deposited. Our equation would be:
I=(0.06)(1340)(3)
I=(0.18)(1340)
I=$241.20
What is StartFraction 5 Over 8 EndFraction divided by One-fourth?
A fraction bar is labeled 1. Underneath the bar, 3 boxes are labeled one-eighth. Underneath the 3 boxes, 4 boxes are labeled one-fourth.
Two-fifths
Three-fourths
1 and one-fourth
2 and one-half
The result we get when we divide the fractions, 5/8 ÷ 1/4 = D. 2 and one-half.
How to Divide Fractions Together?To divide a fraction by another fraction, simply change the division sign to multiplication sign and turn the fraction on the right of the sign upside down, such that what we have as the denominator of the fraction will now be the numerator while what we have as the numerator of the fraction will now be the denominator.
After doing this, multiply the denominators of the fractions and the numerators of the fractions.
Given the fractional expression, 5/8 ÷ 1/4, to divide, turn the fraction on your right upside down and change the sign to multiplication:
5/8 × 4/1
Multiply the denominators and also multiply the numerators of the fractions:
(5 × 4)/(8 × 1)
= 20/8
Simply further by dividing 20 by 4 and dividing 8 by 4:
4 into 20 is 5.
4 into 8 is: 2
Therefore:
20/8 = 5/2
= 2½
Therefore, 5/8 ÷ 1/4 is: D. 2 and one-half.
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2)
Which TWO define the same sequence?
A)
f(x) = 7x – 15 for x = {1, 2, 3, ...}
B)
f(x) = 7x – 22 for x = {1, 2, 3, ...}
f(x) = 7x - 29 for x = {1, 2, 3, ...}
D)
a1 = -22 and an + 1 = a + 7 for n = {1, 2, 3, ...}
E)
a1 = -29 and an + 1 = a + 7 for n = {1, 2, 3, ...}
9514 1404 393
Answer:
C, D
Step-by-step explanation:
It can work to see what sequence each defines:
A) -8, -1, 6, ...
B) -15, -8, -1, ...
C) -22, -15, -8, ...
D) -22, -15, -8, ... . . . . matches C
E) -29, -22, -15, ...
The two that define the same sequence are ...
C) f(x) = 7x -29
D) a1 = -22, a(n+1) = an +7
**Answer When You Can**
-Evaluate Function Expressions-
3.f(-4)-3.g(-2)=
Answer:
3•f(-4) - 3•g(-2) = -27Step-by-step explanation:
3•f(-4) - 3•g(-2) = (3 × -3) - (3 × 6) = -9 - 18 = -27
Ivy is trying to manage the money she spends on lunch. Between eating out and buying groceries for bagged lunches, she wants to keep her weekly budget to less than $50. She decides that she wants to spend at least twice as much on bagged lunches as at restaurants. What are the monetary choices for Ivy’s lunches?
Answer:
The monetary choices for Ivy’s lunches is to spend less than $16.67 at restaurants and to spend less than $33.33 on groceries in order to to keep her weekly budget to less than $50.
Step-by-step explanation:
This can be determined as follows
x = the amount of dollars spent at restaurants
y = the amount of dollars spent on groceries
Since Ivy decides that she wants to spend at least twice as much on bagged lunches as at restaurants, we have
y = 2x .................. (1)
Since Ivy wants to keep her weekly budget to less than $50, using the x and y, we have:
x + 2x < 50 ............................ (2)
We can now solve for x as follows:
3x + < 50
x < 50 / 3
x < 16.67
Substituting the x < 17 into equation (1) noting that Ivy wants to keep her weekly budget to less than $50, we have:
y < 2 * 16.67
y < 33.33
Therefore, the monetary choices for Ivy’s lunches is to spend less than $16.67 at restaurants and to spend less than $33.33 on groceries in order to to keep her weekly budget to less than $50.
What’s the missing number in the table?
Answer:
3
Step-by-step explanation:
slope = increase in y divided by increase in x
increase in y = +10
increase in x = +2
slope = 5 (y increases by 5 every time x increases by 1)
x: 1 -> 2
y: -2 -> 3
Factor:
125x^3-27
A) (5x + 3) (25x^2 - 15x + 9)
B) (5x + 3) (5x^2 - 15x + 9)
C) (5x - 3) (5x^2 - 15x + 9)
D) (5x - 3) (25x^2+ 15x + 9)
Answer:
D) (5x - 3) (25x^2+ 15x + 9)
Step-by-step explanation:
[tex]125 {x}^{3} - 27 \\ \\ = ( {5x)}^{3} - {(3)}^{3} \\ \\ = (5x - 3) \{(5x) ^{2} + 5x \times 3 + ( {3})^{2} \}\\ \\ = (5x - 3) \{25 {x}^{2} + 15x + 9\}[/tex]
At a summer camp, 6-year-olds are in Group A, 7-year-olds are in Group B, and 8-year-olds are in Group C. Is the group assignment a function of age? If so, is the function one-to-one or many-to-one?
Answer:
yes!!!
Step-by-step explanation:
Answer:
A.Yes;many-to-one
Step-by-step explanation:
The table below shows the cost of downloading songs from a website. Number of Songs Total Cost 8 $2.08 10 $2.60 14 $3.64 What is the constant of proportionality between the total cost and the number of songs? Answer: $ per song
Answer:
.26 per song
Step-by-step explanation:
You buy a pair of jeans for 25% markdown from $32.00. The sales tax is 6%. How much will you pay for the jeans?
Answer:
$25.44
Step-by-step explanation:
To find the markdown, multiply the initial cost of the jeans by the percentage of the initial price the new amount will be. If the jeans are getting a 25% markdown, then the new cost will be 75% of the initial cost. Convert 75% and then multiply it by 32:
32 * 0.75 = 24
Now that we know the price of the jeans, we can calculate the sales tax. Multiply 24 by 0.06 to find the sales tax:
24 * 0.06 = 1.44
Now add the sales tax to the new cost to get your final answer:
1.44 + 24 = 25.44
You will pay $25.44 for the jeans.
Hope this helps :)
Answer: 25.44 would how much you would have to pay for the jeans :)
Divide. Write your answer as a fraction or mixed number in simplest form.
9 1/6 divided by 5
Answer:
Answer = 3 1/30
Step-by-step explanation:
91/6 x 1/5 = 91/30
divide = 3 1/30
In the form of mixed number we can write the statement as - [tex]$1\frac{5}{6}[/tex].
We have [tex]9\frac{1}{6}[/tex] divided by 5.
We have to write the answer as fraction in mixed form.
What is a Mixed Number?A number consisting of an integer and a proper fraction is called a Mixed Number.
According to the question, we have - [tex]9\frac{1}{6}[/tex] divided by 5
Let A = [tex]9\frac{1}{6}[/tex] divided by 5.
Now -
A = [tex]9\frac{1}{6}[/tex] divided by 5
A = [tex]\frac{55}{6}[/tex] ÷ 5
A = [tex]$\frac{\frac{55}{6} }{5}[/tex]= [tex]\frac{11}{6}[/tex] = [tex]$1\frac{5}{6}[/tex]
Hence, in the form of mixed number we can write the statement as - [tex]$1\frac{5}{6}[/tex].
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The store at which Andy usually shops is having a sale. Roast beef costs $4 per pound and shrimp costs $10 per pound.
Let x = pounds of roast beef and y = pounds of shrimp
Write an inequality to represent the different possible combinations that Andy can buy if he has $96.
What is one possible combination of roast beef and shrimp that Andy can buy?
Answer:
Part 1;
10y + 4x ≤ 96
Part 2;
y = 8
x = 4
Step-by-step explanation:
1 - Write an equation
Let z equal the total price
10y + 4x = z
2 - Use that to answer the questions
"Write an inequality to represent the different possible combinations that Andy can buy if he has $96."
If Andy has $96 that means the amount the two add up two can equal 96 or be less than 96 however not any more. That means 10y + 4x must be less than or equal to 96. This is written as follows
10y + 4x ≤ 96
With this in mind we can answer the following question of what is one possible combination. To do this, lets assume
10y + 4x must equal 96
Lets make 96 divisible by 10 using our pounds of roast beef.
To do this we need to get rid of the 6; which we can do so by turning 4x into 16. 4 goes into 16 4 times.
Therefore;
10y + 4x = 96
10y + 4(4) = 96
10y + 16 = 96
- 16 - 16
10y= 80
Divide both sides by 10
y = 8
And our x when y = 8 was 4
so
x = 4
What is the slope of a line that connects points (5,8) and (10,12)
Answer:
4/5
Step-by-step explanation:
8-12 = -4
5-10 = -5
4/5
25=k/5;k=5 please help im stuck
Answer:
Step-by-step explanation:
25=k/5 k=5
25=5/5 is impossible it comes out to be 25=1
Now if you are squaring, 25=k^2 because 5*5=25
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Based on these results, express the probability that the next spin will land on blue as a decimal to the nearest hundredth.
Answer:
The probability that the next spin will land on blue is 0.12.
Step-by-step explanation:
The result of the several spins are as follows:
Color Frequency
Red 18
Blue 9
Green 18
Yellow 19
Purple 12
TOTAL 76
Compute the probability that the next spin will land on blue as follows:
[tex]P(Blue)=\frac{n(Blue)}{N}\\\\=\frac{9}{76}\\\\=0.1184211\\\\\approx 0.12[/tex]
Thus, the probability that the next spin will land on blue is 0.12.
The probability that the next spin will land on blue as a decimal to the nearest hundredth is 0.12 and this can be determined by using the given data.
Given :
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple.
The spinner is spun several times, and the results are recorded below:
Colour Frequency
Red 18
Blue 9
Green 18
Yellow 19
Purple 12
So, the total frequency is = 18 + 9 + 18 + 19 + 12
= 76
Based on the above given results, the probability that the next spin will land on blue is given by:
[tex]\rm P = \dfrac{n}{N}[/tex]
[tex]\rm P = \dfrac{9}{76}[/tex]
P = 0.1184
P [tex]\approx[/tex] 0.12
So, the probability that the next spin will land on blue as a decimal to the nearest hundredth is 0.12.
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What direction and what type of dot would you graph the inequality x > -9?
A. Open to the left
B. Open to the right
C. Closed to the left
D. Closer to the right
Thank you!!!!
Answer:
B. Open to the right
Step-by-step explanation:
X cannot be -9 so the dot has to be open
X is greater than -9 so x can be anywhere from -8 to 1,999,999,999 or even greater
help find the degree
Answer:
The given question requirement is to find the the measure of the minor arc [tex]m\widehat{AB}[/tex]
An arc is said to be minor when represented as [tex]m\widehat{AB}[/tex] and an arc is termed a major arc, when it presented as [tex]m\widehat{ACB}[/tex]
From the given diagram, the measure of the minor arc [tex]m\widehat{AB}[/tex] is given as the measure of the angle, m∠CAB which is equal to 38°
Therefore, the measure of the minor arc [tex]m\widehat{AB}[/tex] = m∠CAB = 38°
The measure of the minor arc [tex]m\widehat{AB}[/tex] is 38°
Step-by-step explanation:
Micah, Grayson, Lane, Owen, and Blake decided to see which of their model race cars could be launched the farthest. Micah's car went 4.36 feet. Grayson's car went 4 5/10 feet. Lane's car went 4% feet. Owen's car went 4.3 feet. Blake's car went 4 21/100 feet Whose model car went the farthest?
Answer:
Grayson
Step-by-step explanation:
M-4.36
G-4.5
L-0.04
O-4.3
B-4.21
Garrett buys tickets to a concert. He pays $24.50 for each ticket plus a
handling fee of $8.50 for the order. The total cost is $131.00. How many
tickets, n, did Garrett buy? Part A: Write an equation to figure the amount
of tickets he bought.
24.50 x 8.50 = 33.0
131 ÷ 33 = 3.9696969697
Help needed! Trying to get answer
PLZ HELP ITS DUE TODAY
A family rents a car for their family trip to Disneyland . There is a one-time charge of $30 for insurance. The rate to rent the car is $75 per day. The total cost for the rental was $480. How many days was the car rented for?
Answer:
6 because the insurance price doesn't matter. You subtract the insurance from 480 and have 450. Then you divide by 75