Answer:
He should travel directly
Step-by-step explanation:
Given
[tex]x = 0.5[/tex] --- East
[tex]y =1[/tex] --- North
If he goes through east north direction, the distance (d) traveled is:
[tex]d = x + y[/tex]
[tex]d = 0.5 + 1[/tex]
[tex]d = 1.5 mile[/tex]
If he travels directly, the distance (d) is:
[tex]d = \sqrt{x^2 + y^2}[/tex] ---- Pythagoras theorem
[tex]d = \sqrt{0.5^2 + 1^2}[/tex]
[tex]d = \sqrt{0.25 + 1}[/tex]
[tex]d = \sqrt{1.25}[/tex]
[tex]d = 1.12mile[/tex]
By comparison, he will travel the shortest distance if he travels directly because [tex]1.12 < 1.5[/tex]
Hence, he should travel directly
Write the standard equation of each circle below
OMG last one please help
Answer:
m<D = 14
Step-by-step explanation:
Exterior angles thm:
83 + 6x - 4 = 21x + 4
6x + 79 = 21x + 4
6x - 21x = 4 - 79
-15x = -75
x = 5
m<D:
6x - 4
6(3) - 4
18 - 4
14
Now, you do the math: Tell us if you can afford the apartment using the details below.
Your gross paycheck is $2100 per month.
You're looking at a very small one-bedroom apartment that rents for only $650 per month.
The electric bill runs about $60 per month for power.
You'll pay about $10 per month for gas.
An Internet line will cost you $20 per month.
You have to rent a parking space for your old buggy at $20 per month.
Can you afford to get this apartment?
Yes.
No.
If no, how much can you afford to pay in rent plus housing expenses?
Answer:
I think yes because u will have 760 leftover
If 4x - 8 = 4 , find the value of x
Answer:
x=3
Step-by-step explanation:
4x-8=4
4x=12
4x/4=12/4
x=3
Answer:
x = 3
Step-by-step explanation:
Add 8 to both sides.
4x = 4 + 8
Simplify 4 + 8 to 12.
4x = 12
Divide both sides by 4.
x = 12 ÷ 4
Simplify 12 ÷ 4 to 3
x = 3
whats the value of x
5x + 8 + 3x = 26 + 6x
Answer:
9
Step-by-step explanation:
You are welcome tdydhduyxuhdy
Jack can program an app in 3 hours. Chris can program the same app in 8 hours. How long would it take them to program the same app working together?
Answer:
2 2/11 hours
Step-by-step explanation:
Let the number of hours
Jack spent programming his app = J
Chris spent programming his app = C
Total hours if they worked together = T
Hence,
1/T = 1/3 + 1/8
Lowest Common Denominator = 34
1/T = 8 + 3/24
1/T = 11/24
Cross Multiply
T × 11 = 1 × 24
T = 24/11
T = 2 2/11 hours
Therefore, it would take them to program 2 2/11 hours to program the same app working together
I need helppp pls I’m confused
Answer:
30 ft²
Step-by-step explanation:
Area of a paralleogram formula:
A = bh
A = (6)(2)
A = 12
Area of a rectangle:
A = bh
A = 6(3)
A = 18
Combined:
12 + 18
30
Which values are equivalent to the fraction below? Check all that apply
4 5/4 7
Answer:
the answer is the 4/-2
Step-by-step explanation:
you can understand from the answer
help fast please lol
Answer:
Between 0 and 3: decreasing
Between 3 and 4: constant (stays the same)
Between 4 and 8: decreasing
Step-by-step explanation:
the sum of three consecutive natural number is 30 find the numbers
Answer:
9 + 10 + 11
Step-by-step explanation:
guess and check
Answer:
9,10,and 11
Step-by-step explanation:
HELP ME PLZ PLZ PLZ PLZ I WILL LOVE U FOREVER PLZ HELP ME
Answer:
0.5 or 1/2
Step-by-step explanation:
each number is half of the bigger triangle. so the answer should be half or 0.5.
EX: 48 x 0.5 = 24
In a group of 20 students there are 11 girls what is the ratio of boys to girls
Answer:
9:11
Step-by-step explanation:
subtract the amount of girls to get the amount of boys then put it in ratio form in the order it is asked so it is 9:11
Joelle's homework covers multiplication with powers of 1010 . The first question on her homework is 32.4\ \times10^232.4 ×10 2 . What is the value of the expression?
Answer:
103.424
Step-by-step explanation:
Answer:
The answwer is 103.424 I am taking this CFA 5th grade test right now because school is almsot going to end.
Step-by-step explanation:
Pls help will mark brainliest
Answer:
[tex]x\geq 2[/tex]
Step-by-step explanation:
The parent function, [tex]y=\sqrt{x}[/tex], has a domain of [tex]x\geq 0[/tex] or [tex][0, \infty)[/tex], because the value under the radical cannot be less than 0 (we cannot take the square root of a negative number). Thus, by setting everything inside the radical to 0, we can find the domain of this function:
[tex]x-2\geq 0,\\x\geq 2[/tex]
Thus this domain of this function is:
As an inequality: [tex]x\geq 2[/tex] (desired in problem)
In interval notation: [tex][2, \infty)[/tex]
60% of the books on a bookshelf are english books. If there are 35 english books on the bookshelf, find the number of the books in the book shelf
Answer: 58 books
Step-by-step explanation:
There are 35 English books on the shelf and this constitutes 60% of the total number of books on the shelf.
Denoting the total number as x, the total number is:
35 = 60% * x
x = 35 / 60%
= 58 books
Write each expression using exponents.
3/8 * 3/8 * 3/8=
Answer:
3/8^3
Step-by-step explanation:
the exponent is 3
Answer:
(3/8)^3
3^3 * 2^-9
Step-by-step explanation:
3/8 * 3/8 * 3/8 = (3/8)^3
= 3^3 * (1/8)^3 = 3^3 * (2^-3)^3 = 3^3 * 2^-9
2.5kg of sultana brand costs $4.80 and 1.5 kg of Weetabix costs $2.95, show with working which is the best buy?
2.5kg of sultana brand cost 4.80$
price of 1 kg sultana brand = 0.520$ per kg
1.5 kg of weetabix costs $2.95
price of 1 kg weetabix brand = 0.509$
The best buy is weetabix !
During which time interval is the squirrel traveling at the fastest speed?
1–2 min
2–3 min
5–6 min
8–9 min
If f(y) = e^(9y) + e^(-9y), find f'(y). Use exact values.
Given:
[tex]f(y)=e^{9y}+e^{-9y}[/tex]
To find:
The f'(y).
Solution:
Chain rule of differentiation:
[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]
Differentiation of exponential:
[tex]\dfrac{d}{dx}e^x=e^x[/tex]
We have,
[tex]f(y)=e^{9y}+e^{-9y}[/tex]
Differentiate with respect to y.
[tex]f'(y)=e^{9y}\dfrac{d}{dx}(9y)+e^{-9y}\dfrac{d}{dx}(-9y)[/tex]
[tex]f'(y)=e^{9y}\cdot 9(1)+e^{-9y}\cdot (-9)(1)[/tex]
[tex]f'(y)=9e^{9y}-9e^{-9y}[/tex]
Therefore, the differentiation of the given function is [tex]f'(y)=9e^{9y}-9e^{-9y}[/tex].
Please help with this
pls help me and show your work
Answer:
Solution given:
[tex]4\frac{2}{3}÷7[/tex]
=[tex] \frac{4*3+2}{3}×\frac{1}{7}[/tex]
=[tex]\frac{14}{3*7}[/tex]
=[tex]\frac{2}{3}[/tex] is a required answer.
Please Help ASAP!!! Last question!
Initially, the ratio of Alex's toy cars to Pete's toy cars was 7:3. After Alex gave 20 toy cars to Pete, they each had an equal number of cars. how many toy cars did they have altogether?
Answer:
100 cars
Step-by-step explanation:
Alex: Pete
7: 3
Multiply by x to get the number of cars
Alex has 7x cars
Pete has 3x cars
Now Alex gives pete 20
Alex has 7x-20
Pete has 3x+20
They have the same number of cars so set the expressions equal
7x-20 = 3x+20
Subtract 3x from each side
7x-20-3x = 3x+20-3x
4x-20 = 20
Add 20 to each side
4x-20+20 = 20+20
4x= 40
Divide by 4
4x/4 = 40/4
x = 10
Alex had 7x = 7*10 = 70 to start
Pete had 3x = 3*10 = 30 to start
Together 70+30 = 100 cars
Answer:
100 cars
Step-by-step explanation:
Alex: Pete
7: 3
Multiply by x to get the number of cars
Alex has 7x cars
Pete has 3x cars
Now Alex gives pete 20
Alex has 7x-20
Pete has 3x+20
They have the same number of cars so set the expressions equal
7x-20 = 3x+20
Subtract 3x from each side
7x-20-3x = 3x+20-3x
4x-20 = 20
Add 20 to each side
4x-20+20 = 20+20
4x= 40
Divide by 4
4x/4 = 40/4
x = 10
Alex had 7x = 7*10 = 70 to start
Pete had 3x = 3*10 = 30 to start
Together 70+30 = 100 cars
A ball is kicked from a height of 3 feet above ground the height of the ball is h(t) is given by h(t) = 5t raised to the 2 power +14t+3 where t is the time in seconds after the ball is kicked. How long will it take the ball to hit the ground after kicked?
Answer:
t = -2.566s and -1.169s
Step-by-step explanation:
Given the height of the ball expressed at
h(t) = 5t²+14t+3
The ball will hit the ground at h(t) = 0
Substitute and get t
0 = 5t²+14t+3
Use general formula
t = -14+/- √14²-4(5)(3)/2(5)
t = -14+/- √196-60)/10
t = -14+/- √136/10
t =-14+/- 11.66/10
t = -25.66/10 and -2.338/2
t = -2.566s and -1.169s
Hence the ball will hit the ground at these times
Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total
value of the discount?
Answer:
The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.
1
2.- of a number is 8, what is the number?
a ,
4
Answer:
the answer for this question is 4
which numbers chart follows the rule add 7
[tex]2x - 4 = 30[/tex]
Answer:
x=17
Step-by-step explanation:
2x-4=302x=30+42x=34x=34/2x=17stay safe healthy and happy.Answer:
x = 12
Step-by-step explanation:
2x - 4 = 30
2x = 30 + 4
2x = 34
x = 34/2
◆ x = 17
This is a Right answer
Order these numbers from least to greatest.
7.13, 7.013, 7.2, 7.1371
Answer:
7.013, 7.13, 7.1371, 7.2
Step-by-step explanation:
There are 9 students in a class: 2 boys and 7 girls. If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a girl?
HELP PLEASE !! which right prism would have the same volume as a square prism with a base area of 36 m 2 and a height of 3 m ?
Answer:
3 x 36 = 108 (square prism's volume)
3 x 9 = 27, 27 divided by 2 ( x 1/2) = 13.5, 13.5 x 4 = 54
2 x 18 x 3 = 108
6 x 3 = 18, 18 x 2 = 32
Your answer is b, because it has the volume of 108 which matches the square prism's volume.