Answer:
3i + 2j
Step-by-step explanation:
Acceleration = change in velocity/time
Change in velocity
(14i + j) - (2i - 7j)
= 12i + 8j
Divide by time (t = 4)
3i + 2j
The acceleration of the drone in terms of i and j is 3i+2j.
What is the average acceleration?Acceleration is the amount by which the velocity of something changes over a set period of time.
The formula to find the acceleration is a=(v-v₀)/t, where a=average acceleration, v=final velocity, v₀=initial velocity and t=time.
Given that, a drone is flown, with constant acceleration, in a horizontal plane. When initially observed, at a point P, it has a velocity of (2i-7j) ms⁻¹.
Four seconds later the drone is at a point Q and has a velocity of (14i+j) ms⁻¹.
Acceleration = change in velocity/time
Change in velocity
(14i + j) - (2i - 7j)
= 12i + 8j
Divide by time (t = 4)
= 4(3i+2j)/4
= 3i+2j
Therefore, the acceleration of the drone in terms of i and j is 3i+2j.
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Find the value of x that makes this equation true, just write a number for your answer. Use / for writing fractions
3/5 + x = 2/3
Answer:
1/15
Step-by-step explanation:
The first thing to do is to change both denominators so that they're the same. In this case, that would be 15.
Then, whatever you do to the denominator, you must also do to the numerator.
[tex]\frac{9}{15}[/tex] + x = [tex]\frac{10}{15}[/tex]
X = 1/15
Solve for $a$: $3a-7(3-a)=5$. Express your answer as a common fraction in simplest form.
Answer:
2.6
Step-by-step explanation:
just put one part of the equation in y1 and the other in y2 and hit 2nd trace 5 an hit enter 4 times
then it will bring a graph hit enter 3 time again and it will show u the answer at the bottom left
The solution to the equation 3a-7(3-a)=5 is a=13/5.
Let's solve for a in the equation:
3a-7(3-a)=5
We can solve the equation by rearranging the terms, distributing, combining like terms, adding/subtracting to both sides, dividing both sides by the same factor, and simplifying.
Steps to solve:
Rearrange terms:
3a-7(-a+3)=5
Distribute:
3a+7a-21=5
Combine like terms:
10a-21=5
Add/subtract to both sides:
10a-21+21=5+21
Simplify:
10a=26
Divide both sides by the same factor:
10a/10=26/10
Simplify:
a=13/5
complete the factorization 3x^2-10x+18
Answer:
x-2)(3x-4
Step-by-step explanation:
5) A cube has height of 3 cm. What is the volume of the cube?
Answer:
V =27cm^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 3^3
V = 3^3
V =27cm^3
Answer:
27 cm³
Step-by-step explanation:
The equation for volume of a cube is V = a³ (a being the edge or height/width)
Plug in 3 for a:
V = (3)³
V = 27 cm³
Solve for x: [x - 2 + 10 = 12
Answer:x-2+10=12
We move all terms to the left:
x-2+10-(12)=0
We add all the numbers together, and all the variables
x-4=0
We move all terms containing x to the left, all other terms to the right
x=4
Step-by-step explanation:
In a Bag there are four white marbles and four blue marbles. if two marbles are drawn out at the same time what is the probability that both marbles it will be white
Answer:
1/8
Step-by-step explanation:
Answer:
4 out of the 8
Step-by-step explanation:
Because there are 8 marbles total in the bag and only 4 of them are white.
what is the perimeter of the rectangle below shown below 3 7
Answer:
ok the answer is 20
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
Just got it right on the quiz
Nathan took his car in for service and repairs. He had a coupon for 15% off. Original Prices • Labor $262.40 • Parts $304.46 • Other $76.04 Which amount is closest to Nathan's total costs after the 15% discount and including 7% sales tax? [Assume tax is applied after the discount is applied.]
Answer:
$584.72
Step-by-step explanation:
$262.40+$304.46+$76.04 = $642.90
$642.90 - ($642.90 * 15%) = $546.47
$546.47 + ($546.47 * 7%) = $584.72
The distance from home plate to left field in a model of a baseball stadium measures 16.4 in. The scale of the model to the actual stadium is 1:232. What is the distance from home plate to left field in the actual stadium to the nearest foot?
Answer:
317
Step-by-step explanation:
Since the ratio is 1:232, multiply 232 by 16.4:
[tex]232*16.4=d[/tex]
[tex]d=3804.8 in[/tex]
Divide by 12 to find the feet
[tex]3804.8[/tex]÷[tex]12=d[/tex]
[tex]d=317.066[/tex]
Round to the nearest foot
[tex]d=317[/tex]
Final answer:
To find the actual stadium distance from home plate to left field, convert 16.4 inches to feet and then multiply by the scale factor of 232, resulting in approximately 317 feet.
Explanation:
The student is asking how to convert a scale model measurement to the actual size measurement. Given the scale of 1:232 and the model's distance from home plate to left field as 16.4 inches, we can find the actual stadium distance by multiplying the model measurement by the scale factor.
First, convert inches to feet: 16.4 inches × (1 foot / 12 inches) = 1.3666667 feet (rounded to seven decimal places).
Then multiply by the scale factor to get the distance in the actual stadium: 1.3666667 feet × 232 = 317.0666674 feet, which we round to 317 feet to the nearest foot.
Therefore, the distance from home plate to left field in the actual stadium is approximately 317 feet.
A snow cone holder is a cone with diameter of 3 inches and a height
of 3 inches. What is the volume of the snow cone holder?
Select one:
O
O
277 in
34 in
Which equation is equivalent to Two-thirds x minus StartFraction 5 Over 6 EndFraction = negative StartFraction 5 Over 12 EndFraction x + one-fourth?
Answer: 2/3x-13/12=-5/12x
Step-by-step explanation:
The equivalent equation is (8x + 5x)/12 = (3 + 10)/12 and x = 1.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
(2/3)x - 5/6 = -(5/12)x + 1/4
Add like terms.
(2/3)x + (5/12)x = 1/4 + 5/6
(8x + 5x)/12 = (3 + 10)/12
13x / 12 = 13/12
x = 1
Thus,
x = 1
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How do you solve number #4?
Answer:
b
Step-by-step explanation:
Area of the shaded region =[ (3x-2)(x+3) ] - [ x*6 ]
= 3x*x +3x*3 + (-2)*x + (-2)*3 - 6x
=3x² + 9x - 2x - 6 - 6x {bring like term together}
=3x² + 9x - 2x - 6x - 6
= 3x² + x - 6 {9x - 2x - 6x = 9x - 8x = x}
Area = 24 square units
3x² + x - 6 = 24
3x² + x - 6 - 24 = 0
3x² + x - 30 = 0
Product = 3* -30 = -90
Sum = 1
Factors = 10 , (-1)
3x² + x - 30 = 0
3x² - 9x + 10x - 10*3 = 0
3x*(x - 3) +10*(x - 3) = 0
(x-3)(3x +10) = 0
3x + 10 is ignored because measurements will not be in negative values.
x - 3 = 0
x = 3
StartFraction (negative 7) squared Over (negative 7) Superscript negative 1 EndFraction
Answer:
-343
Step-by-step explanation:
Given the expression: [tex]\dfrac{(-7)^2}{(-7)^{-1}}[/tex]
You will notice that the terms in the numerator and denominator have the same base (-7).
This makes it very easy to simplify by applying the division law of indices.
[tex]\dfrac{a^x}{a^y} =a^{x-y}[/tex]
Therefore:
[tex]\dfrac{(-7)^2}{(-7)^{-1}}=(-7)^{2-(-1)}\\=(-7)^{2+1}\\=(-7)^3\\=-7 X -7 X -7\\=-343[/tex]
Answer:
-343
Step-by-step explanation:
Determine the area of the composite figure to the nearest whole number.
A)
9 ft²
B 11ft2
C 13 ft2
D 17ft2
Answer:
C
Step-by-step explanation:
The area of the composite figure to the nearest whole number is 13 ft².
What is area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
Given:
Radius= 2 feet
As, Area of a single Quadrant = πr²/4
and, For 3 semi circle
= πr²/4 + πr²/4 + πr²/4 or 3 (πr²/4)
= 3 x 3.14 x 2 x 2 /4
= 9.42 ft²
and, Area of Square
= s x s
= 2 x 2
= 4 ft²
So, the Area of Figure = 4 + 9.42 = 13.42 ft²
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need help with this question
Answer: its 432cm=m cubed
Step-by-step explanation:
im not telling you
Answer:
The answer is A :)
Step-by-step explanation:
volume is the measure of length multiplied with width multiplied by height
so you do 9cm multiplied by 6cm multiplied by 8cm and you get 432 cm
I hope this helps you :)
can somebody solve this for me?
Answer:
its C
Step-by-step explanation:
each number in j is half of the corresponding number in r as specified in the question
The mean of all integers between 6 and 24 is?
Answer:
15
Step-by-step explanation:
The mean is basically the average. To find it, we add up all the numbers and then divide that sum by the number of numbers.
Here, we need to find the sum: 7 + 8 + 9 + ... + 22 + 23. To do so, we can use the formula: [tex]\frac{(a_1+a_n)n}{2}[/tex] , where a_1 is the first number (7 in this case), a_n is the last number (23 in this case), and n is the number of numbers (23 - 7 + 1 = 17 numbers in this case). So: [tex]\frac{(7+23)*17}{2} =255[/tex] is the sum.
Now, we need to divide 255 by the number of numbers, which is 17: 255/17 = 15.
Thus, the mean is 15.
Hope this helps!
Answer:
15
Step-by-step explanation:gvkbkhbkhybkjybkjhbkjybkjbukybubyvguuoyguygo bukbbykkbyuukybukbukyyuobukby
2. Beth covered a picture with unit squares. Each unit square is 1 square
inch. The area of Adam's picture is 12 square inches more than the area
of Beth's picture. The length of Adam's picture is 7 inches.
Answer:
Beth area=16 in²
Adam width=4 in
Step-by-step explanation:
Considering the attached image, Beth's area will be 4*4=16in²
Since Adams area is 12 more then his area will be 12+16=28 in²
Since area is given as A=lw where l is length and w is width then
28=7w
w=28/7=4 in
The attached figure is used for question parts
Final answer:
The area of a larger square with side lengths twice that of a smaller square is four times greater. This is because the scale factor for areas is the square of the scale factor for lengths, leading to an area of 64 square inches for the larger square, compared to 16 square inches for the smaller one.
Explanation:
When Marta has a square with a side length of 4 inches and then creates a similar square with dimensions that are twice the first square, we are working with a scale factor in geometry. As the new square has side lengths that are twice that of the original square (4 inches x 2 = 8 inches), the area of the larger square will be greater than that of the smaller square. To find the area of the larger square, we square the side length (8 inches x 8 inches), which gives us 64 square inches. This is exactly four times the area of the first square (4 inches x 4 inches = 16 square inches), since the scale factor for the areas of similar figures is the square of the scale factor for their corresponding lengths.
In the context of the examples given, this principle applies to understanding how the area of shapes scales when their dimensions are proportionally increased or decreased. The scale factor can be used to calculate dimensions or area of similar figures in various geometric problems.
To build a credit history, a person could:
A.Establish a steady employment record
B.File his or her federal income taxes on time
C.Use an ATM several times a month
D.Request to view her or his credit file
Answer:
A
Step-by-step explanation:
because I say it's
A yeah cuZ I'm MD
Answer:
A. Establish a steady employment record.
Step-by-step explanation
This will enable him track his transaction to know if he is going forward.
A rectangular prism with a length of 1 meter, width of 3 meters, and height of 2 meters.
The area of each of the bases will be ___ m2.
The area of the right and left lateral faces will be ___ m2.
The area of the front and back lateral faces will be ___ m2.
The lateral area of the prism will be ___ m2.
The surface area of the prism is 22 m2.
Answer:The area of the base will be (1)(3) m
The area of the right and left lateral faces will be (1)(2) = 2m
The area of the front and back lateral faces will be (2)(3) = 6m
The lateral area of the prism will be 16 m
Step-by-step explanation:
Answer:
1. (1)(3) = 3m
2. (1)(2) = 2m
3. (1)(6) = 6m
4. 16m
Step-by-step explanation:
This is Correct On Edge 2020
Hope This Helps
Have A Blessed Day
Find the missing lengths of the sides.
Answer:
The second bubble
Step-by-step explanation:
In a 30 60 90 triangle as shown here a is always 1/2 the hypotenuse (Which the hypotenuse is 6) and then just add [tex]\sqrt{3}[/tex] to the end of it to get b
So, lets demonstrate
a = 1/2 * 6 = 3
b = a*[tex]\sqrt{3}[/tex] = a[tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
So,
a = 3
b = 3[tex]\sqrt{3}[/tex]
95feet covert to meters to the nearest tenth
What is the value of the digit in the tens place!
8,972
ОА. 8,000
ОВ. 7
Ос. 70
OD. 900
Answer:
The value of the digit in the tens place
8,972 is 70
8,972= 8000+900+70+2
Paul says that a lower unit rate is better value only if you can use all the items purchased to get the lower unit rate. Do you agree? Explain
Answer:
Low cost will result in more supply and low customer demands as demands decrease this will result in increase of supply,so low unit cost will is better value only if you purchased all the items to get lower unit rate.
Unit rates are the rates of one quantity.
Paul's claim about unit rates is correct.
From the question, we understand that Paul's claim that lower unit rates are better.
Take for instance, the following unit rates of a computer device in two stores are:
[tex]Rate\ 1 = \$50/computer[/tex]
[tex]Rate\ 2 = \$55/computer[/tex]
The sales of two computers in both stores would cost
[tex]Store\ 1 = \$100[/tex]
[tex]Store\ 2 = \$110[/tex]
By comparison, the cost of 2 computer devices in store 1 costs lesser because store 1 uses a lesser unit rates.
Hence, Paul's claim about unit rates is correct.
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What is the value of a $2500 investment after it has grown by 6.3% for 10 years?
Answer: The value of the investment would be $4,075
Step-by-step explanation: The initial investment, that is, the principal is given as $2500, and it was invested for a period of 10 years at the rate of 6.3%. Using the simple interest calculation formula, the investment would have a present value as follows;
Interest = P x R x T
Where P = amount invested (2500), R = rate of interest (6.3 or 0.063) and T = number of years (10)
Interest = 2500 x 0.063 x 10
Interest = 1575
The value of the investment at 6.3% after 10 years is now;
Initial investment + Interest
2500 + 1575 = 4075
Therefore the value of the investment is $4,075
To four times a certain number i add 16 and the result is 28. Find this number
Answer:
(1): "s2" was replaced by "s^2". 2 more similar replacement(s).
(2): Dot was discarded near "8.f".
Step-by-step explanation:
i believe
Answer:
The certain number would be 3
Step-by-step explanaition
4 times 3 is 12 plus 16 is 28. hope it helps
Which equation would help find the measure of ∠M?
Answer:
x + 52 + 78 = 180
Step-by-step explanation:
Answer:A x+52+78=180
Step-by-step explanation:
i got it right
Mr. Case is placing boxes along one of the walls in his attic. If the wall is 11 1⁄3 feet long and each box is 2 1⁄2 feet long, how many boxes can he fit along the attic wall?
Answer: he can fit 4 boxes in his attic
Step-by-step explanation:
2 Points
Sara starts walking at noon at a speed of 4 miles per hour. Eddie leaves the
same place an hour later and walks in the same direction at a speed of 5
miles per hour. What time will Eddie catch up with Sara?
O
A. 5 p.m.
O B. 6 p.m.
O c. 3p.m.
O D. 4p.m.
SUBS
Let x represent number of hours after noon.
We have been given that Sara starts at noon and walks at a speed of 4 miles per hour. So distance covered by Sara in x hours would be [tex]4x[/tex].
We are also told that Eddie leaves the same place an hour later. This means that Sara will be 4 miles ahead of Eddie as Sara will travel 4 miles in 1 hour.
As Eddie walks in the same direction at a speed of 5 miles per hour. So distance covered by Eddie in x hours would be [tex]5x[/tex].
Total distance covered by Sara when Eddie will start would be [tex]4x+4[/tex].
Now we will equate distance covered by both in x hours as:
[tex]5x=4x+4[/tex]
Let us solve for x.
[tex]5x-4x=4x-4x+4[/tex]
[tex]x=4[/tex]
Since x represents number of hours after noon, so 4 represents 4 hours after noon.
Therefore, Eddie will catch up with Sara at 4:00 pm and option D is the correct choice.
Answer: D
Step-by-step explanation: Is too much to explain
Please help I have tried to solve this already but I still don't understand it..
Answer:
-5/7 and 0/6
Step-by-step explanation:
Any fraction with 0 in the denominator isnt rational!