Answer:
An airplane which has airspeed of 575 hm/hr head directly east the win is blowing with a velocity of 8.20 km/hr
Step-by-step explanation:
An ant is climbing up a branch that is tilted 60° to the ground. It moves at a constant velocity of 0.5 cm/sec. Find the set of parametric equations that describes the path of the ant’s travel. Assume the ant starts at the origin.
Answer:
the set of parametric equation would be x(t) = 0.25t, y = 0.43t
Step-by-step explanation:
The computation of the set of parametric equation would be
x(t) = 0.5 cos 60 degrees t , y = 0.5 sin 60 degrees t
x(t) = 0.5 × 0.5t , y = 0.5 × 0.866 t
x(t) = 0.25t, y = 0.43t
Hence the set of parametric equation would be x(t) = 0.25t, y = 0.43t
The same is to be considered
The above equation represents the answer
For the entire practice:
1) B, [tex]x(t)=0.25t[/tex] and [tex]y(t)=0.43t[/tex]
2) B, 4 ft.
3) A, [tex]x=27.82[/tex], [tex]y=-4.9t^2+11.24t[/tex], horizontal distance = 63.71 m
Mrs. Anders gave her class 15 minutes to read. Courtney read 8 ½ pages in that time. At what rate, in pages per hour, would Courtney read?
Answer:
34
Step-by-step explanation:
15 mins is 1/4 od an hour so mulitply 8 1/2 (8.5) x 4
Answer:
First we figure out how many words in total she has to read.
This would be the (number of pages) times (number of words per page).
820 * 350 = 287000
so she has to read 287000 words
we divide this by 110 to get how long it would take for her to finish (in minutes)
287000 / 110 = 2609.09090909....
then since there are 60 minutes in an hour, we divide that number by 60
2609.09090909... / 60 = 43.48484848...
Therefore it would take her about 43.5 hours to complete her assignment.
Step-by-step explanation:
State whether the lines are parallel, perpendicular,or neither.
1) y = 6х - 3 2) y = 3x + 2 3) 8x - 2y = 3
y = - 1/6x + 7 2y = 6x - 6 x + 4y = - 1
4) 3x + 2y = 5 5) y - 5 = 6x 6) y = 3x + 9
3y + 2x = -3 y - 6x = -1 y = 1/3x - 4
Answer:
Please check the explanation.
Step-by-step explanation:
Two lines are parallel if their slopes are equal.Two lines are perpendicular if the product of their slope is -1We also know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
Given the lines
1)
y = 6х - 3Comparing with y=mx+b, the slope of y = 6х - 3:
m₁=6
y = - 1/6x + 7Comparing with y=mx+b, the slope of y = - 1/6x + 7:
m₂=-1/6
As
m₁ × m₂ = -1
6 × - 1/6 = -1
-1 = -1
Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.
2)
y = 3x + 2Comparing with y=mx+b, the slope of y = 3x + 2:
m₁=3
2y = 6x - 6simplifying to write in slope-intercept form
y=3x-3
Comparing with y=mx+b, the slope of y=3x-3:
m₂=3
As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.
i.e. m₁ = m₂ → 3 = 3
Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.
3)
8x - 2y = 3simplifying to write in slope-intercept form
y = 4x - 3/2
Comparing with y=mx+b, the slope of y = 4x - 3/2:
m₁=4
x + 4y = - 1simplifying to write in slope-intercept form
y=-1/4x-1/4
Comparing with y=mx+b, the slope of y=-1/4x-1/4:
m₂=-1/4
As
m₁ × m₂ = -1
4 × - 1/4 = -1
-1 = -1
Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.
4)
3x+2y = 5simplifying to write in slope-intercept form
y = -3/2x + 5/2
Comparing with y=mx+b, the slope of y = -3/2x + 5/2:
m₁=-3/2
3y + 2x = - 3simplifying to write in slope-intercept form
y = -2/3x - 1
Comparing with y=mx+b, the slope of y = -2/3x - 1:
m₂=-2/3
As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.
5)
y - 5 = 6xsimplifying to write in slope-intercept form
y=6x+5
Comparing with y=mx+b, the slope of y=6x+5:
m₁=6
y - 6x = - 1simplifying to write in slope-intercept form
y=6x-1
Comparing with y=mx+b, the slope of y=6x-1:
m₂=6
As the slopes of y - 5 = 6x and y - 6x = -1 are equal.
i.e. m₁ = m₂ → 6 = 6
Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.
6)
y = 3х + 9Comparing with y=mx+b, the slope of y = 3х + 9:
m₁=3
y = -1/3x - 4Comparing with y=mx+b, the slope of y = 1/3x - 4:
m₂=1/3
As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.
4j + 4 =
Next, subtract 4 from both sides.
4j
Answer:
4j=-4
j=-1
Step-by-step explanation:
Answer:
4j=-4 j=-1
Step-by-step explanation:
If a circle has a diameter of two what would the area be
Answer:
3.14
Step-by-step explanation:
d=2
A= pi*r^2 = pi*(d/2)^2 = pi*(2/2)^2= pi*1 =pi =3.14
Which expression represents 5/8
8 divided by 3
8 divided by 5
5 divided by 8
3 divided by 8
Answer:
5 divided by 8
Step-by-step explanation:
/ is another symbol for ÷
Answer:
5 divided by 8
Step-by-step explanation:
Below are prices for various sizes of popcorn sold at the local movie theater. Match the popcom size to its correct price
per ounce
1 Mega Bag $10.24 for 32 02.
$028
2. Giant Bag $6.00 for 24 oz
$0.25
3 Medium Bag $4.48 for 16 oz.
$0.30
4 Kid's Bag: $2.40 for 8 oz.
$0.32
Answer:
1=0.32
2=0.25
3=0.28
4=0.30
Step-by-step explanation:
You want to divide each price by the ounces.
$10.24÷32 oz = $0.32
$6.00÷ 24=$.0.25
$4.48÷16=$0.28
$2.40÷ 8=$0.30
DF bisects EDG. Find FG. The diagram is not to scale.
n + 5 = 2n - 6
n - 2n = -6 - 5
-n = -11
n = -11/-1
n = 11
FG = 2n - 6
FG = 2(11) - 6
FG = 22 - 6
FG = 16
5 What is the value of m? Show your work 3 5 (2m - 5) = 2(3m - 4)
Answer:
70m-175=6m-12
70m-6m=175-12
64m=163
m=163/64
Help usatestprep need answer
Answer:
one solution
Step-by-step explanation:
they only meet up once
get a new computer br.uh
47 Which table contains only values that satisfy the equation y = 0.5x + 14?
Х
y
х
y
0
0
014
5
35
A
5 16.5
С
10
70
10 19
15
105
15 21.5
20
140
20 24
Х
y
Х
y
0
14
0
5
39
B
5
14.5
D
10
64
10
15
15
89
15
15.5
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A box of cereal contains 340 grams of carbohydrates. If there are 12 servings, about how many grams are there in one serving? Show how you estimated. Explain why your answer is reasonable.
You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $7.50 per hour that you clean and your retail job pays $10.00 an hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours that you can work at each job and still pay your bills.
Answer:
[tex]c + r \leq 10[/tex]
[tex]7.5c + 10r \geq 56[/tex]
Step-by-step explanation:
Given
Hours = not more than 10
Earnings = At least 56
Required
Represent this as a system of inequalities
Let c represents the cleaning job
Let r represents the retail job
The number of hours
Not more than means [tex]\leq 10[/tex]
So:
[tex]c + r \leq 10[/tex]
Earnings
c = 7.50 per hour
r = 10 per hour
Earnings = At least 56
At least 56 means [tex]\geq 56[/tex]
So;
[tex]7.5c + 10r \geq 56[/tex]
Hence, the system is:
[tex]c + r \leq 10[/tex]
[tex]7.5c + 10r \geq 56[/tex]
Help ASAP!!!!!!!!!!!!!!
Which expression represents the difference when (x^3+3x^2+5x-7) is subtracted from (2x^2-x+1)
Answer choices
1.) -x^3-x^2-6x+8
2.) -x^3-x^2-4x-8
3.) x^3-x^2-6x-8
4.) x^3-x^2-6x+8
Answer:A
Step-by-step explanation:
What number can you divide both 4 and 2 by?
Answer:
Well, an infinite amount of numbers. . .
Step-by-step explanation:
1 and 2 would work
adding fractions with unlike denominators
Answer:
-5/6
Step-by-step explanation:
Multiplying numerators and denominators to get the LCD in all fraction denominators
=−7×38×3−1×83×8+3×38×3
Then rewriting the equation with the equivalent fractions
=−2124−824+924
With like denominators we can operate on just the numerators
=−21−8+924
=−2024
Simplifying the answer
=−56
What is the solution to the inequality 14y−14≥14?
Answer:
[tex]y \geqslant 2[/tex]
Step-by-step explanation:
1. Add 14 to both sides.
[tex]14y \geqslant 28[/tex]
2. Divide both sides by 14.
[tex]y \geqslant 2[/tex]
Help Hurry!!! Timed!!!!!
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°. Find the length of k, to the nearest inch.\
Given:
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
To find:
The length of k, to the nearest inch.
Solution:
According to Law of sine,
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
In ΔKLM, using law of sine, we get
[tex]\dfrac{k}{\sin K}=\dfrac{l}{\sin L}[/tex]
[tex]\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}[/tex]
[tex]k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}[/tex]
On further simplification, we get
[tex]k=\dfrac{48\times 0.819152}{0.7193398}[/tex]
[tex]k=\dfrac{39.319296}{0.7193398}[/tex]
[tex]k=54.66025 [/tex]
Approximate the value to the nearest inch.
[tex]k\approx 55 [/tex]
Therefore, the length of k is 55 inch.
The length of k, to the nearest inch is ∠K=55°.
Calculation of the length of K:
Since
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
Now here we apply law of sine
[tex]a\div sin\A = b\div sin\ B = c\div sin\c \\\\k\div sin \ k = l\div sin\ L\\\\k\div sin\ 55 = 48\div sin\ 66[/tex]
k = 54.66
k = 55 degrees
hence, The length of k, to the nearest inch is ∠K=55°.
Learn more about length here: https://brainly.com/question/2527688
solve cos^30- sin^30
Answer:
hi
Step-by-step explanation:
hdisbkaab
bhai kyun dimag kharab kr raha hai chup chap apni mam se puchIf
Answer: If you were born in April you a amiable, and always ready to help others and a faithful lover.
Step-by-step explanation:
5TH GRADE LEVEL QUESTION: look at photo and answer.
Answer 11/20
Step-by-step explanation:
Answer:
11/20
Step-by-step explanation:
3/4 - 1/5
Write all numerators above the least common denominator
15-4/20
Subtract numbers
11/20
Salvador bought 6 lbs of coffee for $18.66. What is the unit price per pound?
Answer:
$3.11
Step-by-step explanation:
It is given that,
Salvador bought 6 lbs of coffee for $18.66.
We need to find the unit price per pound.
The unit price per pound is calculated by dividing total cost by 6 as follows :
[tex]C=\dfrac{18.66}{6}\\\\=\$3.11[/tex]
Hence, the unit price per pound is $3.11
Perry performs a study to determine the average number of flowers on gardenia bushes at a plant nursery. Which will produce the most representative results?
a sample of the first 20 gardenia bushes near the entrance
a sample of every other gardenia bush in the shade
a sample of every other gardenia bush in full sun
a sample of 10 gardenia bushes in the shade and 10 in full sun
Answer:
d
Step-by-step explanation:
this is the correct answer on edge people.
A sample of 10 gardenia bushes in the shade and 10 in full sun will help us determine the most representative result.
What is scientific testing ?"Scientific testing involves figuring out what we would expect to observe if an idea were correct and comparing that expectation to what we actually observe.
Any aspect of the natural world could be explained in many different ways. It is the job of science to collect all those plausible explanations and to use scientific testing to filter through them, retaining ideas that are supported by the evidence and discarding the others."
Hence,
from the definition it is clear that a sample of 10 gardenia bushes in the shade and 10 in full sun.
To know more about scientific testing here
https://brainly.com/question/1598630
#SPJ3
how can place value help me multiply a two digit number by a multiple of 10
Answer:
Oooooo
Step-by-step explanation:
There are 3 directors, 4 management executives, 2 statisticians and 1 administrator. A committee of 4 members among them is to be formed. Find the probability that the committee consists of i) one of each kind III) one administrator and the other three III) at least one director
I need this answer Help me?
Answer:
1) 4/35
2) 11/14
3) 5/6
Step-by-step explanation:
First find the number of selections possible.
[tex]\frac{10!}{(10-4)!4!} = 210[/tex]
There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.
[tex]4*3*2*1=24[/tex]
The probability for each member to get selected from each kind is : [tex]24/210[/tex] or can be simplified to [tex]4/35[/tex].
The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.
Find the probability for both a administrator included and three others.
[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]
[tex]\frac{165}{210} = \frac{11}{14}[/tex]
The probability for an administrator and the other three is 165/210 or 11/14.
For the last one, you will figure out what the probability is for no director and use that % to substract from 100.
4+2+1 = 7
Get selections possible.
[tex]\frac{7!}{(7-4)!4!} = 35[/tex]
Get probability of no director.
[tex]\frac{35}{210} = \frac{1}{6}[/tex]
Substract 1/6 from 100%
1 - 1/6 = 5/6
The probability of having at least one director is 5/6.
What is the area of a square with side a = 3m?
Answer:
12
Step-by-step explanation:
Answer:
9 Square Meters
Step-by-step explanation:
3x3=9
pls help will give brainlist
Answer:
you make 15 birdhouses, your friend makes 30.
Step-by-step explanation:
Write the number that is two hundred thousand greater than: 2,136,280
Answer:
400 points for you
Step-by-step explanation:
A pecan ple recipe calls for 3 1/2 cups of sugar for 16 servings. How many cups of sugar are needed for 32 servings of pecan ple?
A. 6.24 cups
B. 7 cups
C. about 146 cups
D. about 164 cups
Answer:
B. 7 cups
Step-by-step explanation:
16+16=32
3 1/2+3 1/2=
3+3=6 1/2+1/2=1
6+1=7
Answer:
B. 7 cups
Step-by-step explanation:
31/2 cups for 16 servings.
32 servings are two 16 servings
Convert 3 1/2 to fraction 7/2 then multiply by 2
7 cups