Answer:
Point B is (1, 2)
Step-by-step explanation:
Let us revise the rule of the translations
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)∵ Point A = (-2, 0)
∵ T (3, 2) → A = B
→ By using the 1st and 3rd rules above, A is translated 3 units right and 2
units up to get B
∴ T (x, y) → (x + 3, y + 2)
∵ A = (x, y)
∵ x = -2 and y = 0
∴ B = (-2 + 3, 0 + 2)
∴ B = (1, 2)
∴ Point B is (1, 2)
After releasing of radioactive material into.The atnosphere from.A nuclear.Powe plant in a country in 1988, the hay in that country was contaminayed by radioactive.Isotope remains, how long did the famers need to.Wait to use this hay
Answer:
the question is incomplete, so I looked for a similar one:
After the release of radioactive material into the atmosphere from a nuclear power plant, the hay was contaminated by iodine 131 ( half-life, 8 days). If it is all right to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay?
iodine's half life (we are given x, we need to find b):
0.5A₀ = A₀eᵇˣ
x = 8 days
we eliminate A₀ from both sides
0.5 = eᵇ⁸
ln 0.5 = ln eᵇ⁸
-0.69315 = b8
b = -0.69315 / 8 = -0.08664
since the farmers need to wait until only 10% of the iodine remains (we already calculated b, now we need to find x):
0.1A₀ = A₀eᵇˣ
0.1 = eᵇˣ
ln 0.1 = bx
where b = -0.08664
x = ln 0.1 / -0.08664 = -2.302585 / -0.08664 = 26.58 days
Independent Practice : Rectangular Prism
GRAHAM CRACKERS A manufacturer wants to double the volume of the graham cracker box.
The manufacturer will either double the height or double the width.
GRAHAM
CRACKERS
a. Which option uses less cardboard? Justify your answer.
h 9 in
w 2 in
16 in.
b. What is the volume of the new graham cracker box?
Answer:
a). Amount of cardboard required will be less when manufacturer doubles the width.
b). Volume of the new cracker box = 216 in³
Step-by-step explanation:
Volume of the Graham cracker box = volume of the rectangular prism formed
= Length × Width × Height
= 6 × 2 × 9
= 108 in³
a). To double the volume of the rectangular prism, manufacturer either doubles the height or doubles the width.
When manufacturer doubles the height,
Amount of cardboard required = surface area of the rectangular prism
= 2(lw + wh + hl)
= 2(6×2 + 2×18 + 18×6)
= 2(12 + 36 + 108)
= 2(66)
= 132 in²
When manufacturer doubles the width,
Surface area of the rectangular prism = 2(6×4 + 4×9 + 9×6)
= 2(24 + 36 + 54)
= 2(114)
= 228 in²
Therefore, amount of cardboard required will be less when manufacturer doubles the width.
b). Volume of the new Graham box = 2(Volume of the old box)
= 2 × 108
= 216 in³
Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29 Data with an outlier: 15, 19, 22, 26, 29, 81 How is the median affected by the outlier? The outlier slightly affected the median. The outlier made the median much higher than all the other values. The outlier made the median much lower than all the other values. The median is the exact same number in both data sets.
Answer:
The outlier slightly affected the median.
Step-by-step explanation:
Given :
Data without an outlier: 15, 19, 22, 26, 29
Data with an outlier: 15, 19, 22, 26, 29, 81
The median :
Data without outlier :
0.5(n + 1) th term
n = 5
0.5(5 + 1) = 0.5(6) = 3rd term
3rd term = 22
Data with outlier :
0.5(n + 1) th term
n = 6
0.5(6 + 1) = 0.5(7) = 3.5th term
(3rd term + 4th term) /2
(22 + 26) / 2
48 / 2
= 24
From the result obtained ; The outlier slightly affected the median.
Answer:
A) The outlier slightly affected the median.
Step-by-step explanation:
Without the outlier, the median is 22, and with the outlier, the median is 24. So the outlier slightly affected the median.
Hope this helps :)
A rectangular room is 15 ft long and 12ft wide.Find the perimeter and the area of the room.
Answer:
64? perimeter is adding. So if it's a rectangle it has 4 sides.
Find the slope (m) and the y intercept please show work
Answer:
m=2/5
b=3.8
Step-by-step explanation:
To find slope you need to use slope formula which is (y2-y1)/(x2-x1) so you need two points from the table and plug them into this. I'll use the first two points (-2, 3) and (-1, 5)
(5-3)/(3--2)
2/5
our slope is 2/5(m)
now to find the y int(b)
we have out slope intercept formula which is y=mx+b
plug in our slope
y=2/5x+b
now take a random point from our tabell and apply it to our equation I'll use (-2, 3) again.
3=2/5(-2)+b
3=-4/5+b
3=-0.8+b
add 0.8 to each side
3.8=b
b=3.8
Helppppppppppppppppppp
Answer:
2^3 * 7 + 7^2
Step-by-step explanation:
1) divide 28 by 2 = 14
2) divide 14 by 2 = 7
3) this means that 2 * 2 * 7 = 28
4) you can then take those 2 twos and multiply them with the first 2 and make 2^3
5) the square root of 49 is 7 so that is just 7^2
6) plug in all these new values for the originals and you get the answer above
Answer:
first you gotta calculate 2 -28 +49
After getting the answer solve the expressions to see which one is equivalent to 2-28 +49 (I think)
Can someone please help me!?!?!?
3. Alt. Interior Angles
4. definition of midpoint
=Evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.
−22
–4
2
32
Answer:
The correct answer is -4.
Step-by-step explanation:
have a good day yall
Evaluating the function, f(x) = –2x² – 3x + 5 for x = -3, we would have: f(-3) = -4. (option B).
How do you Evaluate a Function?To evaluate a function, plug in the given value of the input (x) and simplify.
Thus:
f(x) = –2x² – 3x + 5
Substitute x = -3 into the function
f(-3) = –2(-3)² – 3(-3) + 5
f(-3) = -2(9) + 9 + 5
f(-3) = -4
Therefore, evaluating the function, f(x) = –2x² – 3x + 5 for x = -3, we would have: f(-3) = -4. (option B).
Learn more about evaluation of function on:
https://brainly.com/question/17385640
what would the answer be?
Answer:
-2y
Step-by-step explanation:
10x+ -2y = 3
-10 -10
-2y = -7
-2 -2
When 4(0.5x+2.5y - 0.7x- 1.3y +4) is simplifted, what is resulting expersion
URGENT!! I WILL GIVE BRAINLIEST TO CORRECT ANSWER!!
find the length of side x in simplest radical form with a rational denominator
Answer:
x = [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Because of 45 45 90 triangle rule, we can see that the length opposite of the right angle is [tex]\sqrt{6}[/tex]. Using the 45 45 90 triangle rule, the side opposite to the right angle is x[tex]\sqrt{2}[/tex]. Then we solve for x and get x=[tex]\sqrt{3}[/tex].
Hope this helps and have a nice day!
A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph. What was the average speed of the car for the entire journey?
please healp
Answer:
(96/5) mph, or 19.2 mph
Step-by-step explanation:
Average speed = (total distance traveled) / (total time elapsed)
Here we need to calculate the two elapsed times (going and returning)
Going: t1 = d/(24 mph)
Returning: t2 = d/(16 mph)
Less time is required for the outward bound trip.
16d + 24d
Total time elapsed: t = t1 + t2 = d/24 + d/16 = ------------------- = (5/48)*d hr
16*24
Thus, the average speed is (total distance traveled) / (total elapsed time)
2d
which here is --------------------- = (96/5) mph, or 19.2 mph
(5/48)d
If we take average speed into account in any direction, it equals (24 + 16) / 2 = 40 / 2 = 20mph.
What is average speed?Average speed is calculated by dividing a number by the time it takes to obtain that number. The SI unit of speed is meters per second.The average speed is represented by a scalar value. The magnitude indicates its absence of direction.Since this distances were the same, the average speed can be calculated directly by adding the speeds and dividing by 2. There is no need to weigh anything.If we consider speed in any direction, the average speed is:
(24 + 16) / 2 = 40 / 2 = 20mph
However, if direction is important, one number must be negative because the directions are opposite:
(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)
Depending on the circumstances, either of these could be your response.
To learn more about average speed, refer to:
brainly.com/question/24739297
#SPJ2
I need help pls pls pls pt.2
Answer:
where is the Worksheet
Step-by-step explanation:
there is no Worksheet
can someone help me with this please :)
will give brainliest
Answer:
I think the equation is y= -1/3x+1
Solutions: (0,1)(-6,3)
y-int= 1
Slope= 3-1/(-6)-0 = 2/-6= -1/3
y=-1/3x+1
If the owner has $700 to spend on trees, how many can he purchase? Show or explain your work.
Answer:
i can not say how many because i need to know how much do the trees cost
Step-by-step explanation:
Answer:
He can buy 70 trees
Step-by-step explanation:
which expression has the same value as 7 ÷ 9/10
A) 7 x 10/9
B) 1/7 ÷ 910
C) 7 x 9/10
D) 1/7 ÷ 10/9
Answer
A.) 7* 10/9
When you divide fraction you change the symbol and flip the fraction and A is that equation.
Answer:
7 ÷ 9/10 = 7.777
a. 7 × 10/9 = 7.777
b. 1/7 ÷910 = 0.000
c. 7 × 9/10 = 6.3
d. 1/7 ÷ 10/9 = 0.128
therefore the answer is a
Step-by-step explanation:
Hope this helped!!! have a wonderful day!! :):):):)
What is the volume of the rectangular prism?
Answer:
180
Step-by-step explanation:
5 time 6 times 6 is 180
QUESTION 5
13.11 is 192% of
Answer:
6.828125
Step-by-step explanation:
Need Help ASAP Which relation is a function
Answer:
first graph
Step-by-step explanation:
To find a function, for every x value there is only one corresponding y value.
If at x=-2, there are two values for y then it is NOT a function.
Is this line parallel, perpendicular, or neither?
What is the sum of (-2.1x + 3.7) and (5 + 4.9x)?
A. -7.0x + 8.7
B. -2.8x + 8.7
C. 2.8x + 8.7
D. 7.0x + 8.7
Answer:
C is the answer
Step-by-step explanation:
Hope this helps
Have a good day
Neil has 3 partially full cans of white paint.They contain 1/3 gallon, 1/5, gallon, and 1/2, gallons of paint About how much paint dose Neil have in all?
Answer:
1 and 1/30 gallons
Step-by-step explanation:
First, convert all the fractions to a common denominator. I'm choosing 30.
1/3=10/30 1/5=6/30 1/2=15/30
Now, you can add them together to get 31/30, so a little more than a gallon
PLEASE HELP!! A game involves rolling a fair six-sided die. If the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing.
How will you model the simulation for the roll of a die?
A. Use the numbers 1–20 to represent the numbers rolled when a player wins.
B. Use the numbers 1–6 to represent the unfavorable outcomes.
C. Use the numbers 1–3 to represent all the outcomes.
D. Use the numbers 1–10 to represent the unfavorable outcomes.
E. The problem cannot be solved using a simulation.
Answer: C
Step-by-step explanation: 1/3 probability
Which of the following equations represents a line that is
perpendicular to
the y-axis and passes through the point (3, 12)
a x = 3
b x = 12
с y = 3
d y = 12
Answer:
cfc
Step-by-step explanation:
cfc
Answer:
3
Step-by-step explanation:
you suck
How many solutions does 2x + 6 = -2 (x - 3)
Answer: x=0
Step-by-step explanation:
2x+6=-2x+6
2x+2x=6-6
4x=0
x=0/4
x=0
What is the slope of the line on the graph?
4
2
χ
-2
2
2
-4
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope of the graph, we use the expression below;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
We pick two points; (-2, 1) and (4, 4)
x₁ = -2,
y₁ = 1
x₂ = 4
y₂ = 4
Now insert the parameters and solve;
Slope = [tex]\frac{4-1}{4- (-2)}[/tex] = [tex]\frac{1}{2}[/tex]
The Jackson family borrowed $240,000 to purchase a house and, over thirty years they had to repay 250% of what they borrowed. What is the total amount of money the Jackson family paid for their loan? Brainly
Answer:
Step-by-step explanation:
Given
[tex]Loan = \$240,000[/tex]
[tex]Amount = 250\%[/tex]
Required
Determine the total amount
This is calculated by multiplying the loan amount by the percentage:
i.e.
[tex]Payment = Amount\% * Amount[/tex]
[tex]Payment = 250\% * \$200000[/tex]
[tex]Payment = \$500000[/tex]
Hence, the total payment is $500000
PLEASE HELP ASAP!!! i’ll mark brainlest
Answer:
A
Step-by-step explanation:
you have to times the number number of discs a box holds by the number of boxes
Answer:
A. 16b ≥ 94
Step-by-step explanation:
You would want the number of boxes that the discs can hold (16b) to be more than 94 or exactly 94, thus, 16b ≥ 94
Note: ≥ means more than or equal to
Question 2(Multiple Choice Worth 5 points) (04.01)The Boardman family walked two over five of a mile in two over seven of an hour. What is their unit rate in miles per hour?
Answer:
The unit rate in miles per hour = 1.4 miles/hr
Step-by-step explanation:
Given that:
Distance walked by Boardman family = Two over five of a mile = [tex]\frac{2}{5}\ miles[/tex]
Time taken by Boardman family = Two over seven of an hour = [tex]\frac{2}{7}\ hour[/tex]
To find:
The unit rate in the miles per hour = ?
Solution:
Formula for the rate or the speed can be given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Putting the values:
[tex]\Rightarrow \dfrac{\frac{2}5}{\frac{2}7}\\\Rightarrow \dfrac{7}{5}\\\Rightarrow \bold{1.4\ miles/hr}[/tex]
So, the unit rate in miles per hour = 1.4 miles/hr
Ms. Reyes buys three types of flowers. She buys 20 roses, 24 carnation, and 36 tulips. She plans to group the flowers into more than a bouquet. She wants to put the same number of each type of flower into each bouquet. What is the greatest number of bouquets Ms. Reyes can make?
Answer:
The greatest number of bouquets Ms. Reyes can make is 4 bouquets
Step-by-step explanation:
Ms. Reyes buys three types of flowers. She buys 20 roses, 24 carnation, and 36 tulips.
To find the greatest number of bouquets she can make, we solve using Greatest Common Factor method.
We find the factors of 20, 24 and 36
The factors of 20 are: 1, 2, 4, 5, 10, 20
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
Then the greatest common factor is 4.
Hence, the greatest number of bouquets Ms. Reyes can make is 4 bouquets