Answer:
C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin
Step-by-step explanation:
by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin
The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for $24 a bushel if she sells them now, with each tree yielding an average of 4 bushels. The yield increases by half a bushel per week for the next 5 weeks, but the price per bushel decreases by $1.50 per bushel each week. In how many weeks should the oranges be picked for maximum return?
Answer:
4
Step-by-step explanation:
Let's say the amount of bushes sold (yield) is b, and the price per bushel is p.
When calculating total revenue, we want to multiply price by quantity. Quantity here is b, and price is p. Therefore, p*q = revenue = return.
Let's say that the amount of weeks is w.
Price after w weeks = 24 - 1.50 for each week = 24 - 1.50w
Yield after w weeks = 4 + 0.5 for each week = 4 + 0.5w
Revenue after w weeks = p * b = (24-1.50w) * (4+0.5w) = 96 - 6w + 12w - 0.75w² = -0.75w²+6w + 96.
We want to maximize revenue. First, we can find when the derivative of the function is 0.
d/dw(-0.75w²+6w + 96) = -1.5w + 6 = 0
subtract 6 from both sides
-1.5w = -6
divide both sides by -1.5 to isolate w
w = 4
plug that into our equation
-0.75(4)²+6(4) + 96 = -12 + 24 + 96 = 108
Because this function has a negative coefficient for the w², we can say that it is a parabola opening up downward, so when the derivative = 0, we have found the maximum of the function. Therefore, 4 is our answer
Put the following equation of a line into slope-intercept form, simplifying all fractions. 2x-10y=-20.
As a result, the slope is 1/5 and the y-intercept is 2, and the equation is written in slope-intercept form as y = (1/5)x + 2.
what is slope intercept ?On a two-dimensional coordinate plane, the equation of a line is shown using the slope-intercept form. Y = mx + b, where m is the line's slope and b is the y-intercept, is how the equation is expressed. The pace at which the line is rising or dropping is indicated by the slope (m). It is the ratio of any two places on the line's vertical change (rise) to horizontal change (run). In other words, it informs you of the line's steepness. The line is rising from left to right if the slope is positive, and descending from left to right if the slope is negative.
given
We must find y in order to convert the equation 2x - 10y = -20 into slope-intercept form, which is represented by the formula y = mx + b, where m is the slope and b is the y-intercept.
2x - 10y = -20
Initially, we must separate the y term from the other terms by deducting 2x from both sides:
-10y = -2x - 20
The next step is to separate y by multiplying both sides by -10:
y = (2/10)x + 2
When we simplify the fraction, we obtain:
y = (1/5)x + 2
As a result, the slope is 1/5 and the y-intercept is 2, and the equation is written in slope-intercept form as y = (1/5)x + 2.
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pls help me
Below is the table of values of a function. Write the output when the input is n.
Answer : When input is n, ouput is n+2.
Two cars leave a rest stop at the same time and proceed to travel down the highway in the same direction. One travels at an average rate of 49 miles per hour, and the
other at an average rate of 68 miles per hour. How far apart are the two cars after 4.5 hours?
Answer:
The answer is going to be 85.5 miles apart.
Step-by-step explanation:
if the first car is going 49 miles for every hour and the second at 68 we now have our two numbers. then we know its 4.5 hours so our equation goes like this.
(68*4.5)-(49*4.5)=y
We do our rules with pemdas and what not.
we get
306-220.5=y
We subtract and bam
y= 85.5 miles apart.
Hope this helps.
A brainliest is always appreciated
Given r(x)= -5-x and s(x)=x²-8, which of the following is equivalent to t(x)=s(r(x))
a) t(x)= x²+10x+17
b) t(x)= -x²+3
c) t(x)= -x²-13
d) t(x)= x²-10x+3
e) None of the above
PLEASE HELP IM BEGGING!!!!
Answer:
y = 28°
Step-by-step explanation:
The triangle is a right triangle which has 90 degrees.
The 3x falls under 90 degrees.
So:
→ 2y + 90° + 34° = 180°
→ 2y = 180° - 124°
→ 2y = 56°
→ y = 28°
Triangle
XYZ = right triangle
3x = 90°
X + Y + Z = 180°
34° + 3x + 2y = 180°
34° + 90° + 2y = 180°
2y = 180° - (34° + 90°)
2y = 56°
y = 28°
Find the area of the rectangle. Recall that area = length width.
The area of the rectangle is
Hi!
I can help you with joy!
Area of a Rectangle= Length times the Width
Multiply [tex]\displaystyle\frac{1}{2}[/tex] times [tex]\displaystyle\frac{2}{21}[/tex]
Guide to Multiplying Fractions
Recall that we multiply the numerator times the numerator.
After that, we multiply the denominator times the denominator.
[tex]\displaystyle\frac{1}{2} *\frac{2}{21}[/tex]
[tex]\displaystyle\frac{1*2}{2*21}[/tex]
[tex]\displaystyle\frac{2}{42}[/tex] = [tex]\displaystyle\frac{1}{21}[/tex] (Answer) I hope this helps!
[tex]\bf{ContentGirl[/tex]
[tex]\bf{ElatedTeen[/tex]
Ask me if you have any doubts or queries. :)
Don't you dare keep scrolling. Help me out m8.
Answer:
option C gives, x = 8
Step-by-step explanation:
A.
[tex]\frac{5}{2}x+\frac{7}{2}=\frac{3}{4}x+14[/tex]
[tex]\frac{5}{2} x-\frac{3}{4} x = 14-3.5[/tex]
[tex]\frac{10}{4} x-\frac{3}{4} x = 10.5[/tex]
[tex]\frac{7}{4} x = 10.5[/tex]
[tex]x=\frac{10.5*4}{7}[/tex]
[tex]x = 6[/tex]
B.
[tex]\frac{5}{4}x-9=\frac{3}{2}x-12[/tex]
[tex]\frac{5}{4}x-\frac{3}{2}x=-12+9[/tex]
[tex]\frac{5-6}{4} x = -3[/tex]
[tex]-x = 4(-3)[/tex]
[tex]x =12[/tex]
C.
[tex]\frac{5}{4}x-2=\frac{3}{2}x-4[/tex]
[tex]\frac{5}{4}x-\frac{3}{2}x=-4+2[/tex]
[tex]\frac{5}{4}x-\frac{6}{4}x=-2[/tex]
[tex]-x = (-2)*4[/tex]
[tex]x=8[/tex]
D.
[tex]\frac{5}{2} x-7 = \frac{3}{4}x+14[/tex]
[tex]\frac{5}{2} x-\frac{3}{4}x = +14+7[/tex]
[tex]\frac{10}{4} x-\frac{3}{4}x = +21[/tex]
[tex]\frac{7}{4} x=21[/tex]
[tex]x= \frac{21*4}{7}[/tex]
[tex]x = 12[/tex]
Brainliest if correct Question
Answer:
x=2
Step-by-step explanation:
18−7x=2x
Step 1: Simplif
18−7x=2x
18+−7x=2x
−7x+18=2x
Step 2: Subtract 2x from both sides.
−7x+18−2x=2x−2x
−9x+18=0
Step 3: Subtract 18 from both sides.
−9x+18−18=0−18
−9x=−18
Step 4: Divide both sides by -9.
A seesaw is 3 metres long. It is balanced when child A sits 0.8 m from the pivot and child B sits 0.6 m from the pivot. Child A has a weight of 300 N. i. Draw a force diagram to represent this system. (Ensure that you label the force and distances given.) ii. Use the principle of moments to determine the weight of child B.
Answer:
i) see attached diagram
ii) 400 N
Step-by-step explanation:
Since we don’t know the mass of the seesaw, take moments about M (so we don’t have to consider R or mg).
Moment = Force x Perpendicular Distance to the Pivot
As the system is in equilibrium, total anti-clockwise moment = total clockwise moment:
⇒ 300 × 0.8 = b × 0.6
⇒ 0.6 b = 240
⇒ b = 400 N
QUESTION 4
Screenshots
Answer:
2
Step-by-step explanation:
hope it helps.........
Can someone help me answer this please?
Answer:
105 minutes
Step-by-step explanation:
The pond is a prism. Its volume is the area of the trapezoidal base (the front and back faces) multiplied by the height (the 1 m edge).
Area of base of pond (front face) = (1/2)(B + b)h
Base = (1/2)(1.5 m + 0.6 m)(2 m) [Here, height is the height oif the trapezoid, so it is 2 m]
Base = 2.1 m²
Volume = Base × Height
Volume = 2.1 m² × 1 m [Here, height is the height of the prism, so it is 1 m]
Volume = 2.1 m³
The volume of the upper 30 cm (= 0.3 m) of the pond is:
V = LWH
V = 2 m × 1 m × 0.3 m
V = 0.6 m³
The volume of water decreased 0.6 m³ in 30 minutes.
In 60 minutes, it would decrease by 1.2 m³.
60 minutes = 1 hour
The flow rate is 1.2 m³ / hour.
The total volume of the pond is 2.1 m³.
Emptying out the pond completely means removing 2.1 m³ of water at the flow rate of 1.2 m³/hour.
flow rate = volume/time
time × flow rate = volume
time = volume / flow rate
time = 2.1 m³ / 1.2 m³/hour = 1.75 hour
time = 1.75 hour × 60 minutes/hour = 105 minutes
Answer: 105 minutes
Larry wants to buy a car cover for his vintage corvette. His car is 15 feet in length, but car covers are only sold in yards. Choose the cover that fits Larry's corvette best.
A) 3 yards
B) 5 yards
C) 7 yards
D) 45 yards
Answer:
5 yards
Step-by-step explanation:
15/3=5
Round to the nearest ten-thousand. 1,409,836
Answer:1,410,000
Step-by-step explanation:
What is this expression in simplified form? 2y^2√15+5y√15-3y^2√60+7y
Answer:
your answer will be letter b
Step-by-step explanation:
There are 5 times as many females as males on the maths course at university. What fraction of the course are female?
Give your answer in its simplest form
Answer:
5/6
Step-by-step explanation:
Assuming everyone identifies as female or male, the fraction is ...
female / (female + male)
5/(5 +1) = 5/6
5/6 of the students are female in the math course.
Please give me the correct answer
Answer:
(a) 3 , 4(b) 3 , 4Hope this helps.
Estimate a 25% tip on a bill of $61.77 by first rounding the bill amount to the nearest ten dollars
Answer:
total bill amount + tip = $77.21
Step-by-step explanation:
How many feet are there in 5 2/3 yards?
Answer:
17 feetStep-by-step explanation:
1 yard = 3 feet
1/3 3/3
1/3 yard = 1 feet
3ft * 5 yards = 15ft
1/3yard * 2 = 2/3yard 1ft * 2/3 = 2ft
15ft+2ft=17ft
find the value of x
picture attached
Answer:
x must be 4
Step-by-step explanation:
Write and solve an equation of ratios. Start with the ratio of the hypotenuses:
x + 2 x
----------- = --------
x + 5 x + 2
Cross multiplying results in (x + 2)^2 = x^2 + 5x
performing the indicated squaring, (x + 2)^2 = x^2 + 4x + 4. And therefore:
x^2 + 4x + 4 = x^2 + 5x
Simplifying, we get 4x + 4 = 5x, so x must be 4
Riley bought four tickets to a concert and spent $42.50 on souvenirs and food. Let t =
the cost of one concert ticket and c = the total amount of money that Riley spent. Write
an equation that could be used to determine how much money Riley spent
Answer:
t4 + 42.5 = c
Step-by-step explanation:
The value of the digit 9 in the number 29,461 is 10 times the value of the digit 9
in which number?
А
46,195
B
53,982
с
89,354
D
93,610
Answer:
Option B
Step-by-step explanation:
Given the following question:
9 is 10 times the value
29,461 ⇒ thousands place
[tex]100\times10=1000[/tex]
Your answer is option B or "53,982". Since the nine is in the hundred's place, and one-hundred times ten, is equal to a thousand.
[tex]900\times10=9000[/tex]
Hope this helps.
The value of the digit 9 in the number 29,461 that is 10 times the value of the digit 9 is; B: 53,982
How to interpret Digits?
We are given the number 29461.
In the given number;
1 is units
6 is tens
4 is hundred
9 is thousands
2 is ten thousands
This means any number that will has to be multiplied by 10 to give the 9000 above will have to be hundreds.
From the given options, only 53982 contains 9 in the hundreds position and so is correct.
Read more about Digits at; https://brainly.com/question/26856218
Drag each value to the correct location on the table.
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
3\/101
\/90
3\/90
3\/20
\/20
\/7
8\/800
Between 2 and 3
Between 4 and 5
Between 9 and 10
PLEASE HELP!!!
can I have help pls
Answer:
x = 3
Step-by-step explanation:
Nicholas rode his bike three times as far as
Kenny. Nicholas rode 16 miles farther than
Kenny. How many miles did Nicholas ride?
PLEASE HELP ME PLEASE!!
hypotenuse (h)=?
perpendicular (p)=3
base(b)=2
using pythagoras theorem
h²=p²+b²
h²=3²+2²
h²=9+4
h²=13
h=√13
hypotenuse (h)=12perpendicular (p)=10base(b)=?using pythagoras theorem
b²=h²-p²
b²=12²-10²
b²=144-100
b=√44
b=2√11
a decreased by 50% and then increased by 50% of your result
20 points for answer!
Answer:
VVV
Step-by-step explanation:
A number that is increased by 50% and then decreased by 50% is called sequential percentage calculation or successive percentage calculation.
50 percent minus 50 percent is 0 percent, but you cannot simply take 0 percent of a number to get the correct answer when you want to increase a number by 50 percent and then decrease the result by 50 percent.
Anyone please help me
Answer:
1. x = 56
2. y = 2
3. x = 6
4. y = 3
5. k = 10.2
6. w = 21
7. x = 72
Step-by-step explanation:
1. x + 4 = 60
x = 56
2. 3y - 2 = 4
3y = 6
y = 2
3. 3x - 7 = 11
3x = 18
x = 6
4. 5y + 3 = 18
5y = 15
y = 3
5. 3 + 6k = 64
6k = 61
k = 10.2
6. w ÷ 3 - 5 = 2
w ÷ 3 = 7
w = 21
7. x ÷ 8 + 3 = 12
x ÷ 8 = 9
x = 72
[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
Answer (a) :-[tex]\bold{\red{ x + 4 = 60 }}[/tex]
[tex]\sf{ x = 60 - 4 }[/tex]
[tex]\bold{ x = 56 }[/tex]
Hence , The value of x is 56 .
Answer ( b) :-[tex]\bold{\red{ 3y - 2 = 4 }}[/tex]
[tex]\sf{ 3y = 4 + 2 }[/tex]
[tex]\sf{ 3y = 6}[/tex]
[tex]\sf{ y = }{\sf{\dfrac{6}{3}}}[/tex]
[tex]\bold{ y = 2 }[/tex]
Hence , The value of y is 2 .
Answer ( c) :-[tex]\bold{\red{ 3x - 7 = 11 }}[/tex]
[tex]\sf{ 3x = 11 + 7 }[/tex]
[tex]\sf{ 3x = 18}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{18}{3}}}[/tex]
[tex]\bold{ x = 6 }[/tex]
Hence , The value of x is 6 .
Answer ( d) :-[tex]\bold{\red{ 5y + 3 = 18 }}[/tex]
[tex]\sf{ 5y = 18 - 3 }[/tex]
[tex]\sf{ 5y = 15}[/tex]
[tex]\sf{ y = }{\sf{\dfrac{15}{5}}}[/tex]
[tex]\bold{ y = 3 }[/tex]
Hence , The value of y is 3 .
Answer ( e) :-[tex]\bold{\red{ 3 + 6k = 64 }}[/tex]
[tex]\sf{ 6k = 64 - 3 }[/tex]
[tex]\sf{ 6k = 61}[/tex]
[tex]\bold{ k = }{\sf{\dfrac{61}{6}}}[/tex]
Hence , The value of k is 61/6 .
Answer ( f) :-[tex]\bold{\red{\dfrac{W}{3}}}{\bold{\red{ - 5 = 2 }}}[/tex]
[tex]\sf{\dfrac{W - 15}{3}}{\sf{ = 2 }}[/tex]
[tex]\sf{ W - 15 = 2}{\sf{\times{ 3 }}}[/tex]
[tex]\sf{ W - 15 = 6 }[/tex]
[tex]\sf{ W = 6 + 15 }[/tex]
[tex]\bold{ W = 21}[/tex]
Hence , The value of W is 21 .
Answer ( g) :-[tex]\bold{\red{\dfrac{x}{8}}}{\red{\bold{ + 3 = 12 }}}[/tex]
[tex]\sf{\dfrac{x + 24 }{8 }}{\sf{ = 12 }}[/tex]
[tex]\sf{ x + 24 = 12}{\sf{\times{ 8 }}}[/tex]
[tex]\sf{ x + 24 = 96 }[/tex]
[tex]\sf{ x = 96 - 24 }[/tex]
[tex]\bold{ x = 72 }[/tex]
Hence, The value of x is 72 .
How many pounds is 3/4+3/4+3/4=
That all added is 9/4 so now just turn that into pounds. goodluck :)
Answer:
2 1/4
Step-by-step explanation:
You can add together all of the numerators to get 9/4 which simplifies to be 2 1/4.
Would this ratio be
maintained if she used
1 cup of vinegar and 4
cups of water? Explain.
Hi!
The ratio in the picture is 3:12. There are 3 tbsp of vinegar for every 12 tbsp of water.
[tex]\frac{3}{12}[/tex] can be simplified to [tex]\frac{1}{4}[/tex] by dividing the numerator and denominator by 3.
1 cup of vinegar to 4 cups of water is also [tex]\frac{1}{4}[/tex].
Therefore, they are equal and the ratio is maintained.
(NOTE: the unit of measurement DOES not matter - they're still equivalent)
For another problem:
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