Answer:
The rule of translation is [tex]A(x',y') = A(x,y) + (5,-3)[/tex].
The translated vector is [tex]A(x',y') = (9, 4)[/tex].
Step-by-step explanation:
Let supposed that translation to the right is in the +x direction and translation downwards in the -y direction.
We procced to translate the operation into mathematic terms. A translation consists in a vectorial sum on a given vector. That is:
[tex]A(x',y') = A(x,y) + U(x,y)[/tex] (Eq. 1)
Where:
[tex]A(x,y)[/tex] - Original vector, dimensionless.
[tex]U(x,y)[/tex] - Translation vector, dimensionless.
[tex]A(x',y')[/tex] - Translated vector, dimensionless.
If we know that [tex]U(x, y) = (5, -3)[/tex], then the rule of translation is described by:
[tex]A(x',y') = A(x,y) + (5,-3)[/tex] (Eq. 2)
If [tex]A(x, y) = (4,7)[/tex], then the new location of A is:
[tex]A(x',y') = (4,7)+(5,-3)[/tex]
[tex]A(x',y') = (9, 4)[/tex]
The translated vector is [tex]A(x',y') = (9, 4)[/tex].
Solve the following: - 8h = -0.36
Answer:
h=0.045
Step-by-step explanation:
The total amount of time University students in the United States spend sleeping,grooming,eating and drinking and traveling is about?
Answer:
11.7 hours
Step-by-step explanation:
According to data gathered between the years of 2015-2020 from full-time University Students at various Universities throughout the US, it was discovered that they spend roughly 11.7 hours completing these tasks (sleeping, grooming, eating/drinking, and traveling) per day. This applies strictly to full-time University Students that have the responsibilities associated with that life such as studying, attending class, group projects, etc. and does not include extra activities such as cooking.
3x - 5 = 2x + 10
What’s the value of x
Answer:
x = 3
Step-by-step explanation:
braniest pls
Answer:
x=3
Step-by-step explanation:
-5 +10
+5=15
+5=0
3x, 2x
+2 -2
5x=15
_ _
x=3
A pancake recipe require 1 2/3 cups of flour to make 20 pancakes and you have 9 cups of flour.
a. How many pancakes can you make with 1 cup of flour?
b. How many pancakes can you make with 9 cups of flour?
C. Do you have enough to make 100 pancakes? Explain
Quantity of flour needed to make 20 pancakes =
[tex] = 1 \frac{2}{3} \: [/tex]
[tex] = \frac{3 \times 1 + 2}{3} [/tex]
[tex] = \frac{5}{3} \: cups \: of \: flour[/tex]
Then , number of pancakes that can be made from 1 cup of floor :-
[tex]20 \div \frac{5}{3} [/tex]
[tex]20 \times \frac{3}{5} [/tex]
[tex] \frac{60}{5} [/tex]
[tex] = 12 \: pancakes[/tex] .
Therefore , 12 pancakes can be made from 1 cup of floor .
Solution (b) :-Number of pancakes that can be made with 1 cup of flour = 12 pancakes
Number of pancakes that can be made with 9 cups of flour :-
= 9 × 12
= 108 pancakes
Therefore , I can make 108 pancakes with 9 cups of flour .
Solution (c) :-Yes , I have enough flour to make 100 pancakes . I say this because :-
With one cup of flour I can make = 12 pancakes
With 9 cups of flour I can make =
= 9 × 12
= 108 pancakes
As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .
3/4x-2=2/5
Rewrite so there is no fractions
Answer:
15x - 40 = 8
Step-by-step explanation:
3/4x-2=2/5
Multiply each side by 4*5 or 20
20 (3/4x-2=2/5)
15x - 40 = 8
can you help
thank you
Answer:
In first box: top left __7, in top right __4, on left top __9, left bottom __6.
In second box: top left __7, in top right __3, on left top __3, left bottom __5.
Step-by-step explanation:
Answer:
Here you go! I believe this is correct.
6th grade math i mark as brainliest
Answer:
16
Step-by-step explanation:
Use a number line to show the sum of 6+(-7) ?
Answer:
-1
Step-by-step explanation:
When you make the number line, go to the middle then move left once. Then mark that " -1 " and you put the dot over that.
It's hard to explain how to write number lines.
Anyways, the problem equals -1 because 6-7 is negative 1. The + is there to confuse you.
Mark brainliest if possible please :)
Which is true 0.45>0.5
0.45<0.5
4.05=0.45
4.05 <0.45
Answer:
4.05 is greater than 0.45
Chase rode his roller skates around the block 5 times for a total of 1 mile yesterday. Today he wants to ride his roller skates 3/5 of a mile. How many times will he need to ride his roller skates around the block?
Please help with this
a. r + (-s) = r - s
b. r - (-s) = r + s
c. -r + (-s) = -r - s
d. -r - (-s) = -r + s
PLEASE HELP WILL GIVE CROWN
A submarine is 50 feet below sea level. It rises toward the surface for 12 seconds at a rate of 3 feet per second.
How many feet below sea level is the submarine when it is finished rising?
Answer:
14
Step-by-step explanation:
umm I don't know if im dumb but isn't it just 3 times 12 giving you 36 and than 50 minus 36 with an answer of 14
anybody wanna answer for me ?????
Answer:
y=11x
Step-by-step explanation:
EX:
11(2)=22
In which number is the digit 7 ten times larger than it is in the number 175?
A) 379
B) 607
C) 730
D) 7,513
Answer:
c 730
Step-by-step explanation:
because the 7 in 730 is one digit to the left
Answer:
C. 730
Step-by-step explanation:
The 7 in the original number is in the tens place. So if you multiply that by 10, the seven moves into the hundreds place.
A lumber supplier sells 96-inch pieces of oak. Each piece must be within ¼ of an inch of 96 inches. Write and solve an inequality to show acceptable lengths.
Answer:
[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]
Step-by-step explanation:
Given that a lumber supplier sells 96 inch Pieces of oak which must be within 1/4 of an inch.
This situation can be represented by the following absolute value inequality:
[tex]|x \: - 96| \: \leqslant \: \frac{1}{4} [/tex].
The absolute value can be thought of as the size of something because length cannot be negative. The length must be no more than 1/4 away from 96.
To simplify this, pretend this is a standard equality, |x-96| = 1/4. 1/4 is the range of acceptable length, 96 is the median of the range, and x is the size of the wood.
First apply the rule |x| = y → x = [tex]\pm[/tex]y
|x-96| = 1/4
x - 96 = [tex]\pm[/tex]1/4
x = [tex]96 \pm 1/4[/tex]
(These are just the minimum, and maximum sizes)
Now with a less than or equal to, the solutions are now everything included between these two values.
Therefore:
[tex]96 - 1/4 \: \leqslant x [/tex] [tex]\leqslant \: 96 + 1/4 [/tex]
With less than inequalities, you must have the lower value on the left, and the higher value on the right.
If x represents the size of the pieces, then the acceptable lengths are represented by this following inequality:
[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]
This is interpreted as x (being the size of the oak) is greater than or equal to 95 3/4, and less than or equal to 96 1/4 in inches.
Kalvin sells bottles of water at baseball games he pays 0.75 per bottle and 3.78 for the ice to keep cold let b represent the number of bottles of water he buys c represent his total cost
Answer:
3.78+.75b=c
Step-by-step explanation:
A grocery store receives deliveries of corn from two farms, one in Iowa and the other in Ohio. Both farms produce ears of corn with mean weight 1.26 pounds. The standard deviation of the weights of the ears of corn from the farm in Ohio is 0.01 pound greater than that from the farm in Iowa. A randomly selected ear of corn from the farm in Iowa weighed 1.39 pounds, which has a standardized score of 1.645 for the distribution of weights for the Iowa corn. If an ear of corn from the farm in Ohio weighs 1.39 pounds, how many standard deviations from the mean is the weight with respect to the Ohio distribution
Answer:
The number of standard deviation above the mean is [tex] z_o = 1.4607 [/tex]
Step-by-step explanation:
From the question we are told that
The mean weight of ears of corn from each farm is [tex]\mu=1.26[/tex]
The standard deviation of ears of corn from Iowa is [tex]\sigma_1[/tex]
The standard deviation of ears of corn from Ohio is
[tex] \sigma_2= 0.01 + \sigma_1 [/tex]
The weight of a random selected ear of corn from Iowa is x = 1.39 pound
The standardized score is z =1.645
The weight of a random selected ear of corn from Ohio is [tex]x_1 = 1.39\ pound[/tex]
Generally the standardized score of weight of corn from Iowa is mathematically represented as
[tex]z = \frac{ 1.39 - 1.26 }{\sigma_1 }[/tex]
=> [tex] 1.645 = \frac{ 1.39 - 1.26 }{\sigma_1 }[/tex]
=> [tex] \sigma_1 = \frac{ 1.39 - 1.26 }{ 1.64 5}[/tex]
=> [tex] \sigma_1 = 0.0790 [/tex]
Generally the standardized score of weight of corn from Ohio is mathematically represented as
[tex]z_o = \frac{ 1.39 - 1.26 }{\sigma_2 }[/tex]
=> [tex] z_o= \frac{ 1.39 - 1.26 }{0.01 + \sigma_1 }[/tex]
=> [tex] z_o = \frac{ 1.39 - 1.26 }{ 0.089}[/tex]
=> [tex] z_o = 1.4607 [/tex]
Because the value is positive it means that this value represent the number of standard deviation above the mean.
Using the normal distribution, it is found that the weight with respect to the Ohio distribution is 1.46 standard deviations from the mean.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For the Iowa farm:
The mean is of 1.26 pounds, hence [tex]\mu = 1.26[/tex].The weight is of 1.39 pounds, hence [tex]X = 1.39[/tex]The standardized score is of 1.645, hence [tex]Z = 1.645[/tex].Then, the standard deviation can be found as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{1.39 - 1.26}{\sigma}[/tex]
[tex]1.645\sigma = 0.13[/tex]
[tex]\sigma = \frac{0.13}{1.645}[/tex]
[tex]\sigma = 0.079[/tex]
In Ohio:
Same mean.Standard deviation 0.01 pound greater, hence [tex]\sigma = 0.079 + 0.01 = 0.089[/tex]Same weight.Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.39 - 1.26}{0.089}[/tex]
[tex]Z = 1.46[/tex]
The weight with respect to the Ohio distribution is 1.46 standard deviations from the mean.
To learn more about the normal distribution, you can check https://brainly.com/question/24663213
The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than the width. Find the dimensions
The width of the playing field is
(Type an integer or a decimal)
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
L is the length of the rectangle:
W is the width of the rectangle.
Given
Perimeter = 214feet
If the length is 41 ft longer than the width, then L = 41+W
Substitute L = 41+W into the formula:
P = 2(L+W)
214 = 2(41+W+W)
214 = 2(41+2W)
214 = 82+4W
4W = 214-82
4W = 132
W = 132/4
W = 33 feet
Since L = 41+W
L = 41+33
L = 74 feet
Hence the dimension of the field is 74ft by 33ft
The width of the playing field is 33feet
Which property justifies the statement if y = 7, then 7 = y?
Jason is only able to work 28 hours a week this month (at $12 an hour) so he is worried that he will be in a bind paying his bills. He has to pay
his rent ($875) and his car payment ($330) with insurance ($130). How miuch will Jason have left over at the end of the month?
Answer:
9
Step-by-step explanation:
28 x 4=112
112 x 12= 1344
1344-875-330-130=9
Answer:
he will have $9 left over
Simplify and write answer in terms of i as appropriate. *. i^25
Answer:
i
Step-by-step explanation:
Given the complex value i^25, we are to write in terms of i. In complex number:
i² = -1
i^25 =( i²)¹² × i
= (-1)¹² × i
Note that -1 to a negative number will give a positive number hence (-1)¹² = 1
(-1)¹² × i = 1×i
= i
Hence i^25 = i
Swear no one answers but plz show work ?!
Given m||n, find the value of x.
t
>m
(x+14)
(9x-8)"
Answer:
1st one
Step-by-step explanation:
Answer:
1st one
Step-by-step explanation:
Plz help i only need c im confused lol 6th grade history
Answer:
War
Step-by-step explanation:
Criminals
3 over 5 =nothing over 20
ion even know yet
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2+2 answer this and get 85 points
Answer:
4
Step-by-step explanation:
Thank you so much!! really appreciate it, I just need a few more points to become so thank you so much again!!:)
Answer:
4
Step-by-step explanation:
2+2=4
After 5.5 hours, Allie had traveled 264 miles. If she travels at a constant speed, how far will she have traveled in 6 hours?
Answer:
288 Miles
Step-by-step explanation:
Solve for x (speed)
5.5x = 264
Divide by 5.5
x = 48
y = 48x
Subsitute 6 hours in for x
y = 48(6)
y = 288
Answer: Allie went 288 miles in 6 hours.
Step-by-step explanation:
First, you must find out how many miles Allie travled in one hour
= 264/5.5
= 48
Next, multiply the quotient by the number of hours to get the answer.
= 48 x 6
= 288
uestion 1:
Damon wants to sell his motorcycle that he paid $4,000 for 3 years ago. The motorcycle depreciated (decreased in value) at a constant rate each month over a 3-year period. If x represents the monthly depreciation amount, write an expression that shows how much Damon can sell his motorcycle for today.
Answer:
4,000 -x3
Step-by-step explanation:
x times 3 is equal to the decrease so therefore you take the decrease away form 4/oo
Answer:
3y-x=4,000
Step-by-step explanation:
Find constants a , b, and c such that the function
y = ax2 + bx + c satisfies the differential equation y′′ + y′ − 2y = 4x2.
Answer: a = -2, b = -2, c = 1.
Step-by-step explanation:
We know that:
y = a*x^2 + b*x + c.
Then:
y' = 2*a*x + b
y'' = 2*a.
Then we can write the equation:
y′′ + y′ − 2y = 4x^2.
as:
2*a + 2*a*x + b - 2*(a*x^2 + b*x + c) = 4*x^2
To solve this, the first step is moving all the terms to the same side:
2*a + 2*a*x + b - 2*a*x^2 - 2*b*x - 2*c - 4*x^2 = 0
Now let's group terms with the same power of x.
(-4 - 2*a)*x^2 + (-2*b + 2*a)*x + (-2c + b) = 0
Now, this must be zero for all the values of x, then the parenthesis must be equal to zero:
-4 - 2*a = 0
-2*b + 2*a = 0
-2*c + b = 0
From the first equation:
-4 - 2*a = 0
-4 = 2*a
-4/2 = a
a = -2
And from the second equation:
-2*b + 2*a = 0
2*a = 2*b
a = b
b = -2.
From the third equation we have:
-2c + b = 0
-2c = b
c = b/-2 = -2/-2 = 1.
c = 1
Then our equation is:
y = -2*x^2 - 2*x + 1.
5. At the beginning of an experiment, there are ten bacterial cells in Petri Dish A and five bacterial cells in Petri Dish B. The number of bacterial cells
o in Dish A after h hours can be modeled with the equation a - 10(125)". The number of bacterial cells bin Dish B after h hours can be modeled
with the equation b - 5(25)" Based on this information, which of the following statements is true?
After one hour, the number of bacterial cells in Dish Ais equal to the number in Dish B
After one hour, the number of bacterial cells in Dish A is greater than the number in Dish B
After one hour the number of bacterial cells in Dish A is less than the number in Dish B.
After ten hours, there are approximately 125 bacterial cells in Dish A
After ten hours, there are approximately 50,000 bacterial cells in Dish B.
