Answer:
Step-by-step explanation:
[tex]Tete : Tuke\\2 : 3\\Total-Amount = P8900\\2+3 = 5\\Tete = \frac{2}{5} * 8900\\Tete = P3560\\\\Tuke = \frac{3}{5} *8900\\Tuke = P5340[/tex]
Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is
positive. When oil is moving into the small tank, the flow rate is negative.
The large tank begins with 600 gallons of oil. The flow rate is recorded as-4 gallons per minute. After a period of 32
minutes, how much oil has been moved and to which tank?
1289 into the large v tank.
After the 32 minutes, how much oil is in the large tank? gallons
Answer:
✔ 128
into the
✔ small
tank.
After the 32 minutes, how much oil is in the large tank?
✔ 472
gallons
Step-by-step explanation: Just did it on Edge
Using the given flow rate and time we found that after a period of 32 minutes 128 gallons of oil is moved from large tank to small one. The oil in large tank after 32 minutes is 472 gallons.
What is rate of work done?Rate of work done is the amount of work done per unit time
rate of work done = amount of work / time taken
Given that flow rate is positive when oil is moving in large tank and rate of flow is negative when oil is moving in small tank
Given that flow rate is recorded -4 gallons per minute, which is negative .
It means that the oil is flowing in the small tank.
Rate of flow, r is 4 gallons per minutes , here work is oil flowing into a tank
Rate of flow, r = oil flown in a tank / time taken
Given that time, t = 32 minutes
∴ rate of flow × time taken = Oil flown in small tank
⇒ r× t = oil flown in small tank = 4 × 32 = 128 gallons
Initially oil in large tank = 600 gallons
Thus, 128 gallons are moved from large tank to small tank in 32 minutes
After 32 minutes remaining oil in large tank = 600 - 128 = 472 gallons
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Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Translated up by 1 unit 2. y = (x - 1)2 + 1 Translated left by 4 units 3. y = (x + 1)2 Translated right by 1 unit 4. y = (x - 2)2 Translated down by 3 units 5. y = (x - 1)2 - 3 Reflected over the x-axis 6. y = (x + 3)2 Reflected over the y-axis
Answer:
1. [tex]y = - (x - 1)^{2}[/tex], Reflected over the x-axis.
2. [tex]y = (x - 1)^{2} +1[/tex] , Translated up by 1 unit.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis
4. [tex]y = (x - 2)^{2}[/tex] ,Translated right by 1 unit.
5. [tex]y = (x - 1)^2 - 3[/tex], Translated down by 3 units
6. [tex]y = (x + 3)^2[/tex], Translated left by 4 units.
Step-by-step explanation:
Given that:
Parent function: [tex]y = (x - 1)^{2}[/tex] Please refer to attached Graph4.
1. [tex]y = - (x - 1)^{2}[/tex] Sign of y is changed from + to -, so it gets reflected over x axis. Please refer to attached Graph3.
2. [tex]y = (x - 1)^{2} +1[/tex]: 1 is added to y to translated up (positive y by 1 unit). Please refer to attached Graph3.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis, please refer to attached Graph4.
4. [tex]y = (x - 2)^{2}[/tex] : 1 is subtracted from x , it gets Translated right by 1 unit. Please refer to attached Graph5.
5. [tex]y = (x - 1)^2 - 3[/tex], 3 subtracted from y so it getss translated down by 3 units. Please refer to attached Graph6.
6. [tex]y = (x + 3)^2[/tex], 4 added to x, so it gets translated left by 4 units. Please refer to attached Graph5.
Answer:
the other guys answer
Step-by-step explanation:
sorry we have been about your car extended warranty this is are last call
Solve for X X=6 X=15 X=30 X=90
Answer:
x=30
Step-by-step explanation:
4x+2x=180
6x=180
x=30
The value of x will be 30 for the given supplementary angles.
What are supplementary angles?Supplementary angles are those angles that sum up to 180 degrees. For example, angle 110° and angle 70° are supplementary angles because the sum of 110° and 70° is equal to 180°.
Given ∠EAF and ∠BAF are supplementary angles
Since sum of two supplementary angles = 180
Thus,
∠EAF + ∠BAF = 180
2x + 4x = 180
6x = 180
x = 30
therefore, the value of x will be 30 for the given supplementary angles.
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WORKSHEET-1
1. Solve the following equations
a) 2x+5 = 1
Answer:
x = -2
Step-by-step explanation:
2x + 5 = 1 ( subtract 5 from both sides )
2x = 1-5
2x = -4 ( divide both sides by 2 )
2x ÷ 2 = -4 ÷ 2
x = -2
Answer: x = -2
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.
Since 5 is being added to 2x, we subtract 5
from both sides of the equation to isolate the 2x.
On the left, the +5 and -5 cancel out and on the right, 1 - 5 is -4.
So we have 2x = -4.
Now we can finish things off by just
dividing both sides of the equation by 2.
On the left, the 2's cancel and on the right, -4 divide by 2 is -2.
So x = -2.
If three out of four side lengths are all the same would that be a parallelogram?
Answer:
No
Step-by-step explanation:
Which statement forms part of cell theory?
A.
Cell organelles are capable of reproducing themselves.
B.
Cells differ in shape, but they have identical components.
C.
All cells begin life as prokaryotic cells.
D.
All living things are made up
of cells.
Answer:
D. All living things are made up of cells.
Step-by-step explanation:
D. All living things are made up of cells.
O The cell theory is a widely accepted principle of biology. Scientists that contributed to the cell theory include; Theodor Schwann, Matthias Schleiden, and Rudolph Virchow.
The cell theory states that;
O All living organisms are made up of cells and they may be unicellular or multicellular.
O The cell is the basic structural and functional unit of life.
Cells arise from pre-existing cells.
Can I get help with this problem
Answer:
AC = 90, AB = 90, CAB = 180
Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of Z when X equals four and Y equals nine
A: 2/3
B: 16/3
C: 8/3
D: 24
Answer:
B
Step-by-step explanation:
Set up the equation
z = [tex]\frac{kx^2}{y}[/tex]
Plug in the numbers to find the value of k
3 = [tex]\frac{k(2^2)}{4}[/tex]
12 = 4k
3 = k
Solve to find the value of z
z = [tex]\frac{3(4^2)}{9}[/tex]
z = [tex]\frac{3(16)}{9}[/tex]
z = 48/9
z = 16/3
Type the expression that results from the following series of steps: Start with t, add 6, multiply by 2, then subtract 5.
Answer:
2(t + 6) - 5
Step-by-step explanation:
If we are strictly following the directions, we first add t and 6 together:
t + 6
Then we multiply by 2 AFTER we add the 2 together:
(t + 6)2
At last, we subtract 5 from everything after:
2(t + 6) - 5
And we have our answer!
Answer:
2(t+6)-5
Step-by-step explanation:
The unknown number is t
=> Adding 6 will make it t+6
=> Multiplying by 2 will make it 2(t+6)
=> Subtracting 5 will make it 2(t+6)-5
Find the sum of 0.312, 0.14 and
0.7 (a) 0.152 (b) 0.158 (C)
Answer:
i'm sorry but the answer is 1.152
Answer:
[tex]1.152[/tex]
Step-by-step explanation:
[tex] \: \: \: \: \: 0.312 \\ + 0.14 \\ + 0.7 \\ =1.1 52[/tex]
hope this helps you.
what is the most efficient first step to isolate the variable term on one side of this equation?
-9x=-4x+5
Answer:
Add 4x to both sides
Step-by-step explanation:
on Edge
What is the divisble test for 861?
Answer:
7 is the correct answer
Four friends’ typing speeds are shown. Who is the fastest? Monica: 10 words in 1 4minute Rachel: 55 words in 5 6minute Charlie: 42 words in 3 4minute Daniel: 25 words in 1 2minute
Answer:
Daniel
Step-by-step explanation:
By far
What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1 = 0? 2x - y - 4 = 0 2x + y - 4 = 0 2x + y + 4 = 0
Answer:
2x + y - 4 = 0
Step-by-step explanation:
slope = -2
y = mx + b
2 = -2(1) + b
4 = b
y = -2x + 4
2x + y - 4 = 0
Answer:
the answer is 2x + y - 4 = 0
Step-by-step explanation:
me and my friend did the math and got 2x + y - 4 = 0
[25 points!] Please help! Answer this for meee ! xo :)
Answer:
C (rad 2 x rad 5 x rad 2 x rad 5)
Step-by-step explanation:
rad 2 times rad 5 = rad 10
rad 10 times 2 = rad 20
rad 20 times rad 5 = rad 100
rad 100 = 10
10 is rational
f f(x) = 3(x + 4), find f(2).
Answer:
f(2) = 18
Step-by-step explanation:
To evaluate f(2) , substitute x = 2 into f(x), that is
f(2) = 3(2 + 4) = 3 × 6 = 18
BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!
Answer:
B
Step-by-step explanation:
Answer:2x+4(C)
Step-by-step explanation:
Since all of the variables have integer exponents that are positive this is a polynomial.
Select the correct answer.
Regina is shopping for clothes, and she sees that T-shirts are marked at $10 each and sweatshirts are marked at $14 each. She wants to buy
at least 5 items while spending under $60.
Which graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal?
Answer:
The graphs are missing, but we can find the inequality for this problem:
She has $60.
The price of a T-shirt is $10, the price of a sweatshirt is $14.
If T is the number of T-shirts she buys, and S is the number of sweatshirts that she buys, we have:
T + S ≥ 5 (because she wants to buy at least 5 items)
T*$10 + S*$14 < $60 (because she wants to spend under $60)
Those two inequalities define the number of T-shirts and sweatshirts that she can buy.
The intersection portion of the graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have:
Regina is shopping for clothes, and she sees that T-shirts are marked at $10 each and sweatshirts are marked at $14 each.
Here, graph are missing.
Let's suppose the number of T-shirts is T and the number of sweatshirts is S.
T + S ≥ 5 (because she wants to buy at least 5 items)
10T + 14S < 14 (spending under $60)
If we plot the above inequality on a coordinate plane.
Thus, the intersection portion of the graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal.
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which of the following best describes the slope of the line below
Highschool students were surveyed about which math and science
Answer:
Starting with Algebra going down is 73%, 70%, 72%
Geometry going down is 27%, 30%, 28%
Totals going down 100%, 100%, 100%
(LOL)
Hope that was helpful.Thank you!!!
Step-by-step explanation:
Please answer this equation ❤️
Just take the function, and wherever it says 'x', substitute '-3' .
Then it'll say f(-3) = -2(-3)² - 7(-3) + 6 . Surely you can solve that.
As my old Electronic Circuits professor used to tell us, back around 1962:
"If
f(x) = -2x² - 7x + 6
then
f(cow) = -2cow² - 7cow + 6 ."
Of all the things I learned from him, this is the thing I remember most.
Answer:
f(-3)=9Solution,
[tex]f(x) = - 2 {x}^{2} - 7x + 6 \\ f( - 3) = - 2 \times {( - 3)}^{2} - 7 \times ( - 3) + 6 \\ \: \: \: \: \: = - 2 \times 9 - ( - 21) + 6 \\ \: \: \: = - 18 + 21 + 6 \\ \: \: \: = 3 + 6 \\ \: \: \: \: \: = 9[/tex]
hope this helps...
Good luck on your assignment..
Which rate can you set StartFraction 30 miles Over 1 hour EndFraction equal to in order to find the time it takes to travel 900 miles at 30 miles per hour?
Answer:
[tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]
Step-by-step explanation:
Since you have miles in the numerator of your rate, you need miles in the numerator of the equivalent fraction:
[tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]
This can be rearranged to ...
[tex]\dfrac{t}{1\,\text{h}}=\dfrac{900\,\text{mi}}{30\,\text{mi}}=30[/tex]
Then, multiplying by 1 h gives the solution ...
t = 30 h
It takes 30 hours to travel 900 miles at 30 miles per hour.
the answer is:
d. 900/? hours
How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1
Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:
[tex]x^2+y^2=363[/tex]
And the second equation is:
[tex]x-y+1=0[/tex]
From the second equation, we have:
[tex]y = x + 1[/tex]
Using this value of y in the first equation, we have:
[tex]x^2 + (x+1)^2 = 363[/tex]
[tex]x^2 + x^2 + 2x + 1 = 363[/tex]
[tex]2x^2 + 2x= 362[/tex]
[tex]x^2 + x - 181 = 0[/tex]
Calculating the discriminant Delta, we have:
[tex]\Delta = b^2 - 4ac = 1 + 4*181 = 725[/tex]
We have [tex]\Delta > 0[/tex], so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:
[tex]x^2+y^2=36[/tex]
[tex]3x-y+1=0[/tex]
We would have:
[tex]y = 3x + 1[/tex]
[tex]x^2+(3x+1)^2=36[/tex]
[tex]x^2+9x^2+6x+1=36[/tex]
[tex]10x^2+6x-35=0[/tex]
[tex]\Delta = 36 + 1400 = 1436[/tex]
We also have [tex]\Delta > 0[/tex], so we have two solutions for this system.
Correct option: C.)
Answer:
A. 0
second part: C. The boats' paths do not cross each other
If ZBAC is a right angle and
m_BAD = 30°, then m DAC = [?]°.
Answer:60 degrees
Step-by-step explanation:BAC =90 Degrees
BAD= 30 degrees
Since BAD and DAC are complementary angles, they add up to 90 degrees
So, 90 degrees-30 degrees= DAC which is =60 degrees
HOPE IT WAS CLEAR
Angle DAC is determined to be 60 degrees as it is complementary to angle BAD, which measures 30 degrees.
According to the given information, angle BAD measures 30 degrees. It is stated that angle BAD and angle DAC are complementary angles, meaning they add up to 90 degrees.
To find the measure of angle DAC, we subtract 30 degrees from 90 degrees:
90 degrees - 30 degrees = 60 degrees.
Therefore, the angle DAC measures 60 degrees.
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The diagram shows A(-3, 5) and B(8,1).
What is the distance between the points?
Enter your answer as a number, without units.
Round your answer to one decimal place, if necessary, like this: 42.5
Answer:
11.7
Step-by-step explanation:
You can form a right triangle with these points with a base of 11 and height of 4 with the third point as (-3, 1).
Using the Pythagorean Theorem, we get:
[tex]11^2+4^2=c^2\\121+16=c^2\\137=c^2\\c^2=137\\c=\sqrt{137}\\c=11.7[/tex]
The distance from A to B is roughly 11.7 units long.
The answers is AB= 12.5.
What is graph?The graph is nothing but an organized representation of data. It helps us to understand the data. Data are the numerical information collected through observation.
The word data came from the Latin word Datum which means “something given”
After a research question is developed, data is being collected continuously through observation. Then it is organized, summarized, classified, and then represented graphically.
As, per the graph
the base = 11 units and the height = 6 units
So, Using Pythagoras theorem,
11² + 6² = AB²
121+36 = AB²
157= AB²
AB = √157
hence, AB= 12.529
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Which equation is equivalent
Answer:
(4x^2 +9) (4x^2 -9) =0
Step-by-step explanation:
16x^4 - 81 =0
Rewriting
(4x^2) ^2 - 9^2 =0
This is the difference of squares a^2 -b^2 = (a+b)(a-b)
(4x^2 +9) (4x^2 -9)=0
PLEASE HELP
subtract
(-4w^ -9n) - (- 15w^)
Answer:
-5 • (2w + 1)
—————
2
Step-by-step explanation:
The difference of 2 numbers is 2 and their product is 80
Please respond quick
Answer:
8 and 10
Step-by-step explanation:
10-8=2
10*8=80
Answer:
list factors of 80
1,80
2,40
4,20
5,16
8,10
Which factors have a difference of 2?
80-1=79
40-2=38
20-4=16
16-5=11
10-8=2
10 and 8 have a difference of 2 so 10 and 8 is the answer. Hope this helps
Step-by-step explanation:
The value of y varies directly with x, and y = 40 when x = -5. Find y when x = 8
Answer: y=-64
Step-by-step explanation:
From the first sentence: the value of y varies directly with x:
y∝x
y=cx where c=variation constant
When y=40 x=-5
40=-5c
Therefore c=-8
To find y when x=8
y=cx where c=-8 and x=8
y=-8*8
y=-64
Here is a map of a town. It has a scale of 1 : 200,000. A centimetre ruler is shown on the map. What is the real-life distance between the park and the theatre? Give your answer in km.
Answer:
6km
Step-by-step explanation:
==>Given:
Map scale = 1 : 200,000
Distance on map between the park and the theatre = 3cm
==>Required:
Real life distance between the town and the theatre in km
==>Solution:
Note: the map scale given means 1cm on the map represents 200,000 cm in real life.
For a map distance of 3 cm between the town and the theatre, the real life distance would be:
3 × 200,000 = 600,000 cm
=>Convert to km
Thus, 100,000cm = 1km
Therefore, 600,000cm = 6km
Real life distance between the town and the theatre = 6km