Answer:
Lets calculate the slope of the line 'l'
Slope is rise over run of a line, so we will see how much the y of the line changes by changing x by 1
So, basically we will select a point on the line and see how much the y-value increases for the point rightward to our point
we see that the y increased by 1 and hence, its slope is 1
Now, the slope of line 'k'
again, we will select a point and go one point to the right
here, we see that the y increases by 2
therefore the slope of line 'k' is 2
830040 in expanded form with exponets
1. Amazon is experimenting with "drone delivery" and you are asked to determine a drone’s delivery route. The drone will leave the Amazon warehouse, make two deliveries, and then return to the warehouse. The first delivery is 7.10 miles from the warehouse in a direction 25.0O south of west. The second delivery is 11.2 miles, in a direction 38.0O south of east, from the location of the first delivery. After making its second delivery, how far and in what direction must the drone fly to return to the warehouse?
Answer:
Step-by-step explanation:
From the information given:
Let assume that the drone first delivery went to a certain place U, 7.10miles from the warehouse in the S 25.0° W direction.
However, the drone thus proceeds to the second delivery place V which is 11.2 miles in the S 38.0° W direction.
Then, location U can be determined from a graphical point of view as follows:
In the negative x-direction from the warehouse
[tex]U_x = 7.1 \times cos 25^0[/tex]
[tex]U_x = 7.1 \times 0.9063[/tex]
[tex]U_x = 6.44 \ miles[/tex]
In the negative y-direction from the warehouse
[tex]U_y =7.1 \times sin 25 ^0[/tex]
[tex]U_y =7.1 \times 0.4226[/tex]
[tex]U_y = 3.00 \ miles[/tex]
Also: the position of V with respect to U can be determined as follows:
in the positive x-direction from the warehouse
[tex]V_{UX} = UV \ cos 38[/tex]
[tex]V_{UX} = 8.83 \ miles[/tex]
In the negative y-direction from the warehouse:
[tex]V_{UY} = UV \ sin 38[/tex]
[tex]V_{UY} = 6.89 \ miles[/tex]
Similarly, we will need to determine the position of V with respect to the warehouse.
i.e.
In the positive x-direction the warehouse
[tex]V_x = U_x +V_{UX}[/tex]
[tex]V_x =[/tex] -6.44 + 8.83 ( since [tex]U_X[/tex] is in the negative direction)
[tex]V_x =[/tex] 2.39 miles
In the positive y-direction the warehouse
[tex]V_Y = U_Y + V_{UY}[/tex]
[tex]V_Y = -3.00 + (-6.89)[/tex] ( since both [tex]U_Y \ and \ V_{AY}[/tex] are in the negative direction)
[tex]V_Y =[/tex] -9.89 miles
Therefore, from above, the distance emanating how far is the drone back to the starting point is :
[tex]D = \sqrt{V_X^2+V^2_Y}[/tex]
[tex]D = \sqrt{(2.39)^2+(-9.89)^2}[/tex]
[tex]D = \sqrt{5.7121+97.8121}[/tex]
D = 10.18 miles
The direction of the drone can be deduced by taking the tangent of the trigonometry;
i.e.
[tex]tan \ \theta = ${\dfrac{opposite \ direction}{adjacent \ direction}}[/tex]
[tex]tan \ \theta = ${\dfrac{9.89}{ 2.39}}[/tex]
[tex]tan \ \theta =4.138[/tex]
[tex]\theta = \tan^{-1}(4.138)[/tex]
[tex]\theta = 76.41^0[/tex] in the north_west direction of V
Brad has groups of 10 pennies. Brad counts 40, but he has 6 more stacks to count. How many pennies does he have?
Answer:
He has 60 pennies
Step-by-step explanation:
greg bought a blanket for $33.34, a flag for $12.25, and a glove for $12.75. He paid $40 and the rest he borrowed from his friend. If greg got $1.66 in change, how much did he borrow from his friend to pay for all the items?
Answer:
He borrowed 16.68
Step-by-step explanation:
Answer: $16.68 .....
Which list shows the numbers in order from largest to smallest?
Answer:
C
Step-by-step explanation:
10/3 = 3.33
3.3 = 3.3
pie =3.14
square root of 8 =2.8
If point A is located at (-7, -3), and there are 18 points between A and B, what could be the possible coordinates for point B?
Answer: (-25,-3)
Step-by-step explanation:
I subtracted 18 from the x value.
Note: You could of added 18 from the x value or you could of subtracted/added to the y value.
In a soccer game, 1/8 of the players on team A and 1/5 of the players on team B score a goal. A total of 3 players on team A and 4 players on team B score a goal. How many players are on each team?
Answer:did you end up figuring it out?
Step-by-step explanation:
I rly need it I’m on a test
The total number of players on team A 24 is and on the team, B is 20.
What is a quantitative relation?The comparison of two quantities of constant units illustrates the quantitative relationship by showing what percentage of one quantity is a gift inside the other.
Team A's total player count should be "x" and Team B's total player count should be "y.".
Assuming that 3 players on Team A (or 1/8 of the players) have scored goals, this can be represented by,
1/8(x) = 3
x = 3 × 8
x = 24
Given that 4 players on Team B have scored goals, 1/5 of the players have scored a goal, which can be represented by,
1/5(y) = 4
y = 4 × 5
y = 20
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5-{-12}x3-24 divided by 6
Answer:37
Step-by-step explanation: 5-{-12}x3-24 divided by 6
5+12=17 (because of the minus in front of 12 and in the brackets)
17x3=51
A cable is 60 meters long. How long is the cable in decimeters?
Answer: 600 decimeters.
Step-by-step explanation: This conversion of 60 meters to decimeters has been calculated by multiplying 60 meters by 10 and the result is 600 decimeters
PLZ MARK ME BRILLIANT
Answer:
the answer is 600 decimeters
4x+y-2z=5 -4x-5y+3z=-3 -4x-6y+z=16
100 and time ok okiuu88
Yassir had $78 in his bank account. He made a purchase of $126. How much money is now in Yassir's account?
Greetings! Hope this helps!
Answer
Yassir has $-48 dollars in his bank accound (in debt)
Explanation
78 - 126 = -48
Have a good day!
_______________
A brainliest would help tons! :D
Answer:
Yassir has no money left in his bank account, he actually owes $48
Step-by-step explanation:
$78-$126=-$48
Could I please have BRAINLIEST.
-11.25 divided by -0.375
Answer: 30
Step-by-step explanation:
The graph shows the charges of an instructor. The
instructor charges an initial fee and then an hourly rate
for private lessons. Determine the instructor's hourly
charge from the graph.
What is the hourly charge?
O $1.00
O $4.00
O $7.00
O $8.00
Answer:
$8
Step-by-step explanation:
Factor out the GCF from the polynomial below.
15x^9 + 25x^8 + 55x^6
Answer:
[tex]5x^6[/tex]
Step-by-step explanation:
Answer:
[tex] 5x^6(3x^3 + 5x^2 + 11) [/tex]
Step-by-step explanation:
The GCF of 15, 25, and 55 is 5.
The GCF of x^9, x^8, and x^6 is x^6.
The GCF of the terms of the polynomial is 5x^6.
Now we factor it out of the polynomial by dividing each term of the polynomial by the GCF of the polynomial.
[tex] 5x^6(3x^3 + 5x^2 + 11) [/tex]
)A scanner scanned 63 photos in 9 minutes. If it scans photos at a constant rate, it can scan _____ photos in 21 minutes.
Answer:
147 photos
Step-by-step explanation:
63 photos -> 9 minutes
To find the number of photos scanned per minute, divide both sides by 9.
[tex]63\div 9=7[/tex] photos -> 1 minute
To find 21 minutes, we can do [tex]21\times 7=147[/tex]
Answer:
147 photos
Step-by-step explanation:
Hope this helps
4 less than the product of one and a number z
Answer:
z - 4
Step-by-step explanation:
Step 1: Convert "4 less"
-4
Step 2: Convert "Product of one and a number z"
1 · z
z
Step 3: Combine
z - 4
Answer:
it's 1z-4
Step-by-step explanation:
4 = 4
(less than) = subtraction
(product of) = multiplication
one = 1
Z = Z
do a switcheroo
which then becomes : (1)(z)(-)(4)
(product of) (one) and a (number z) = 1 multiplied by z
4 is less than = - 4 because it's less than
8abc2 + abc2 + 3 – 1
Step-by-step explanation:
First collect like terms
ie. 8abc2+ abc2 + 3-1
9abc4 - 2
If a car travels 45 miles in 30 min, how far will the car have traveled in 2.5 hours?
Answer:
210 miles I think
Step-by-step explanation:
______________
Answer:
225 miles
Step-by-step explanation:
45 miles in 30 mins
90 miles in an hour
2 hours × 90 miles is 180 miles. Then add the half hour which is 45, to 180. That gives you 225 miles in 2.5 hours.
Ali has 11 more than twice as many color pencils as Benji. Together they have 89 pencils.
How many color pencils do they each have?
Answer:
Benji: 26
Ali:53
Step-by-step explanation:
Benji:X
Ali: 2X+11
2X+11+X=89
3X+11=89
3X=78
X=26
Benji: 26
Ali: 2×26+11=53
Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x) = 2^(x-5)
As x approaches negative infinity, h(r) approaches negative infinity.
As x approaches positive infinity, h(t) approaches 0.
As x approaches positive Infinity, h(t) approaches positive infinity.
As x approaches negative infinity, h(a) approaches positive infinity.
Answer: As x approaches positive infinity, h(x) approaches positive infinity
Step-by-step explanation:
The correct option is Option C: As x approaches positive Infinity, h(t) approaches positive infinity.
What is the exponential function?The exponential function is a function where the base is raised exponent times where the exponent is an input variable and the base is a constant.
For example: f(x)= aˣ
Similarly here given in the question,
the function is h(x)= [tex]2^{x-5[/tex]
the domain of this function is real number R i.e (-∞,∞)
The range of the function is real numbers greater than 0.
So when x approaches to negative infinity,
[tex]\lim_{x \to- \infty} h(x)[/tex]
= [tex]\lim_{x \to- \infty} 2^{x-5[/tex]
= 2^(-∞-5)
= 2^(-∞)
= 1/2^∞
=0
So, As x approaches negative infinity, function h(x) approaches 0.
Then when x approaches to positive infinity,
[tex]\lim_{x \to \infty} h(x)[/tex]
= [tex]\lim_{x \to \infty} 2^{x-5[/tex]
= 2^(∞-5)
= 2^(∞)
= ∞
So, As x approaches positive Infinity, h(t) approaches positive infinity.
By checking all the options there is only one option that matches the above conclusion.
Therefore the correct option is Option C: As x approaches positive Infinity, h(t) approaches positive infinity.
Learn more about exponential function
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You work at a video game store. Today, you are offering coupons for $10.00 off any new video game. A customer comes in with a coupon and purchases one video game for $59.99 and one controller for $39.99. How much should you charger this customer before tax?
Answer:
[tex]\huge\boxed{\$ 88.98}[/tex]
Step-by-step explanation:
In order to find the total price, we know that the total price will be all the items added up minus the coupon.
You get 10$ off any new video game. This means that when the customer purchases a video game for $59.99, he earns $10 off, so it ends up costing [tex]59.99-10=\$49.99[/tex].
Now we can add 39.99 to this since we do nothing to it. [tex]49.99+39.99=88.98[/tex]
Hope this helped!
I WILL GIVE BRAINLIEST IF U GET CORRECT
Liz created this table to show the ratio of red pencils to green pencils in her box. Identify the ratios that are equivalent to the ratio of red pencils to green pencils in Liz’s table.
red pencils----------green pencils
2-----------------------------6
4-----------------------------12
6-----------------------------18
8-----------------------------24
simplify each expression into a single number using standard algorithms.
1.-3-2
Answer:
- 5
Step-by-step explanation:
Step 1:
- 3 - 2 Equation
Step 2:
- 3 - 2 Add
Answer:
- 5
Subtracting from a negative number is the same thing as adding. If you have a negative number and you have to subtract from it. You just add both of the negative numbers together.
Hope This Helps :)
Which of the following is part of a line that has two endpoints?
O Angle
O Plane
O Line segment
O Perpendicular lines
Answer:
line segment
Step-by-step explanation:
I took the test.
A building is 50 feet tall. Imagine you are standing 30 feet away from it. What is the angle when you are looking up at your friend on the top of
building?
36.9 59.0 53.1 31.0
Answer:
53.1
Step-by-step explanation:
I used my protractor and that is what I got there is no detailed explanation that I came up with
HELP ME NEED HELP WILL GIVE 20 POINTS AND BRAINLIEST TO CORRECT ANSWER!!!!!
An object is traveling in a steady speed of 10 1/5 mi/h. How long will it take the object to travel 4 4/5 mi? First round to the nearest integer. Then find the exact answer.
Answer:
30
Step-by-step explanation:
Speed is the rate of change of distance over time
It will take the object 28 minutes to travel a distance of [tex]\mathbf{4 \frac 45 miles}[/tex]
The given parameters are:
[tex]\mathbf{Speed = 10 \frac 15 mi/h}[/tex]
[tex]\mathbf{Distance = 4 \frac 45 mi}[/tex]
The speed of an object is:
[tex]\mathbf{Speed = \frac{Distance}{Time}}[/tex]
Make Time the subject
[tex]\mathbf{Time= \frac{Distance}{Speed }}[/tex]
Substitute known values
[tex]\mathbf{Time = 4 \frac 45 mi \div 10\frac 15 mi/h}[/tex]
Cancel out the units
[tex]\mathbf{Time = 4 \frac 45 \div 10\frac 15 \ h}[/tex]
Convert fractions
[tex]\mathbf{Time = \frac {24}5 \div \frac{51}5 \ h}[/tex]
Express as multiplication
[tex]\mathbf{Time = \frac {24}5 \times \frac{5}{51} \ h}[/tex]
[tex]\mathbf{Time = \frac {24}{51} \ h}[/tex]
Convert to minutes
[tex]\mathbf{Time = \frac {24}{51} \times 60\ min}[/tex]
[tex]\mathbf{Time = \frac {1440}{51} \ min}[/tex]
[tex]\mathbf{Time = 28 min}[/tex]
Hence, it will take the object 28 minutes
Read more about speed, distance and time at:
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Woul I use open or close intervals for x - 1 < 5
Hi there!
You would use open intervals.
In the given inequality, the "<" sign is used, which means "greater than".
Open intervals would be used unless the inequality uses "≤" or "≥", which
mean "equal to or greater/less than". Closed brackets would be used in this
instance.
Shelly bought 5 pounds of bananas for $1.10. How much were the bananas per pound?
Answer:
$0.22
Stage 1: Divide.
$1.10 ÷ 5 = $0.22.
Your answer would be $0.22 per pound. Hope it helps!
In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 8 and 6?
Answer:
Corresponding Angles
Step-by-step explanation: