Note: Consider the dependent variable is T instead of I, and we need to find the value of T when x=5 and y=-7.
Given:
[tex]T=3x+4y[/tex]
To find:
The value of T when x=5 and y=-7.
Solution:
We have,
[tex]T=3x+4y[/tex]
Putting x=5 and y=-7, we get
[tex]T=3(5)+4(-7)[/tex]
[tex]T=15-28[/tex]
[tex]T=-13[/tex]
Therefore, the value of T is -13 when x=5 and y=-7.
After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?
Answer:
About 0.6548 grams will be remaining.
Step-by-step explanation:
We can write an exponential function to model the situation. The standard exponential function is:
[tex]f(t)=a(r)^t[/tex]
The original sample contained 510 grams. So, a = 510.
Each half-life, the amount decreases by half. So, r = 1/2.
For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.
Therefore, our function is:
[tex]\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}[/tex]
One year has 365 days.
Therefore, the amount remaining after one year will be:
[tex]\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548[/tex]
About 0.6548 grams will be remaining.
Alternatively, we can use the standard exponential growth/decay function modeled by:
[tex]f(t)=Ce^{kt}[/tex]
The starting sample is 510. So, C = 510.
After one half-life (38 days), the remaining amount will be 255. Therefore:
[tex]255=510e^{38k}[/tex]
Solving for k:
[tex]\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)[/tex]
Thus, our function is:
[tex]f(t)=510e^{t\ln(.5)/38}[/tex]
Then after one year or 365 days, the amount remaining will be about:
[tex]f(365)=510e^{365\ln(.5)/38}\approx 0.6548[/tex]
Find the slope of the line that goes through (3,5) and (9,-2).
Answer:
-7/6
Step-by-step explanation:
the slope is change in y/change in x:
-2-5/9-3 = -7/6
I NEED HELP PLZ MY SMART PPL
Answer:
its 60
Step-by-step explanation:
if its right caan i get a brainliest
Answer:
60
Step-by-step explanation:
To get the area of a right triangle (a triangle with an angle of 90 [represented by the box in the corner]) you have the formula of
Area = (a*b) divided by 2
a = one side of the triangle
b = another side of the triangle
Neither side are the hypotenuse.
What property must be used when solving each step of a one variable linear equation?
add, subtract, multiply, or divide an equation by a number or an expression as long as we do the same thing to both sides of the equal sign. ...
Apply the distributive property as needed:
Isolate the variable on one side of the equation.
Step-by-step explanation:
Harry and John share £60 in the ratio of 2: 1 work out how much money Harry gets
Answer:
40
Step-by-step explanation:
3u-> 60
1u-> 20
2u->40
Please do number 19 for me.
Answer:
[tex]x = 9[/tex]
[tex]angle \: abc = 8x + 6x + 6x \\ 20x = 180 \\ x = \frac{180}{20} \\ x= 9[/tex]
[tex]plzz \: \: mark \: as \: brainliest[/tex]
Which set of ordered pairs represents a function?
{(-8, 1), (5. –7),(-6,9), (-6, -9)}
o{(-2,-3), (2, 1), (2,6), (4,9)}
o{(8,4), (6,4), (9,1),(7-6)}
o{(-4,5),(0,0), (2, -8), (2,0)}
Answer:
o{(8,4), (6,4), (9,1),(7-6)}
Step-by-step explanation:
Every x value can only have one y value
The price of a watch was increased by 20% to £198
What was the price before the increase?
A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.
Answer:
10.99
Step-by-step explanation:
Your pretty much just multiplying the number by 3.14, so 3.5*3.14=10.99. Hope this helps!
Answer:
Answer B 11m
Step-by-step explanation:
i need help :/
('_')
Answer:
Z=20 Degrees
Step-by-step explanation:
We know that all of the angles of a triangle add up to 180, so:
65+55+ Angle A = 180
Simplify:
120+ Angle A = 180
Subtract 120 from both sides:
Angle A = 60
If you look at the bottom you can see that the 15 turns into 5, meaning it is being divided by 3, so:
60/3=20
Z=20 Degrees
Answer:
Angle E is 60 degrees
Step-by-step explanation:
So z is an angle.
That would be point E.
This triangle was dilatated so we can match it up with the larger one. In a dilation, angle measures do not change. So matching up the points E would be equal to A, which of course it the only one with an angle measure not given.
All you have to do is add up the two angle measures and subtract that by 180 (total of all angles combined).
So 65+55=120
180-120=60
Angle A is 60
Which makes angle E 60 as well
Hope that helps!
6 mi Find the volume for the shape above. Use 3.14 for pi. Round to the nearest whole number.
Answer:
Step-by-step explanation: does anyone know? I really need this
Can someone help ? I dont understand this
Answer:
4854
Step-by-step explanation:
2=434344=3
[46664792)
Answer:
31°
Step-by-step explanation:
The angle 59° will be equal to the angle c in triangle ABC.
Angle B will be 90°
Angle A + Angle B + Angle C = 180° (ASP)
Angle A + 90° + 59 ° = 180 °
Angle A = 180° - 90° - 59°
Angle A = 31°
Angle A = x
31° = x
milk truck delivers 376 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n, the number of gallons of milk the milk truck delivers in 1 day. pls help!
Answer:
376*12=n
My logic:
there are 12 items in a dozen. so 376 dozens times 12 will result in the total milk delivered in a day.
can someone
please help and fast
Answer:18
Step-by-step explanation:
same as other side 90 degrees
¿cuantos envases se necesitan, si ponemos los 6 litros en envases de 3/4 litros?
se necesitan 8 envases
denada
HELP ME JUST ANSWER PLZ IM SUFFERING I WILL GIVE YOU BRAINLYEST OR WHATEVER
Answer:
534.07in squared is what I got for the surface area
Step-by-step explanation:
Im a bit stuck on this problem
Answer:
f I I tough luck if it's if I've if it's if you've paid down let of us if just it ubos skits enough of others
Step-by-step explanation:
digital shall will also sorry soap sorry s goo form enough wish all so do all kelan kaso kaka kalakalorry root sorry for
Pls help me, I'll give brainliest
5. Triangle ADE is enlarged to form triangle
Answer: the scale factor would be 2
Step-by-step explanation:
If you add all lengths for triangle ABC you can see that triangle ADE x 2 will give you the lengths for ABC
solve the inverse for k
2(k-12)-5(k+2)<-9k+4k
Please I need helppppppp
Answer:
Step-by-step explanation:
The conversion factor is 454 grams / pound. That makes the answer D.
All of the answers have the right digits. It's the number of zeros that cause the problem.
Answer:
450 grams is the closest metric weight of 1 pound which in actuality is 453.592 gram.
Mark is making jackets. Mark took 2 hours to make a jacket. The jacket was made up of 50 kilograms of wool. How long do you think it will take Mark to use 500 kilograms of wool for the jackets?
Given:
Mark took 2 hours to make a jacket.
The jacket was made up of 50 kilograms of wool.
To find:
The time in which Mark use 500 kilograms of wool for the jackets.
Solution:
We have,
1 jacket take 2 hours.
Number of jackets in 50 kg of wool = 1
Number of jackets in 1 kg of wool = [tex]\dfrac{1}{50}[/tex]
Number of jackets in 500 kg of wool = [tex]\dfrac{1}{50}\times 500[/tex]
= [tex]10[/tex] Jackets
Time taken by 1 jacket = 2 hours
Time taken by 10 jacket = 20 hours
Therefore, it will take 20 hours to use 500 kilograms of wool for the jackets.
Answer:
20 hours
Step-by-step explanation:
1 jacket=50kg wool
1 jacket= 2hrs
500kg available/50kg per jacket= 10 jackets
10 jackets x 2hrs per jacket=20hrs
Which of the following is a monomial?
A. 20x11 - 3x
B. 11X-9
C. 20x11
Answer: A
Answer: the answer is c : 20x^11
Step-by-step explanation:
what is the answer?136,88,or 44?
Answer:
136
Step-by-step explanation:
Can someone help me with this please???...
Answer:
2×2×2×2× 5
Step-by-step explanation:
use the tree method it helps
Answer:
hey mate this is your answer..
1. Which situation could be represented by y = 4x + 7?
a student started with $4 and saved $7 per week.
A package costs $7 plus $4 per pound to ship.
A skateboard weighs 4 pounds plus 7 ounces.
A recipe calls for 7 cups of flour and 4 cups of sugar.
2. What is the equation of the line through (5,8) and (2,2)?
y = 2x + 2
y = 2x - 2
y = 5x - 8
y =8x - 5
3. The slope of a line is -1/3 and the y-intercept is 3. What is the equation of this line?
y = 1/3 + 3
y = -1/3 + 3
y = 3x - 3
y = 3x - 1/3
4. What is the equation of the line that has a slope of 2 and goes through (3,7)?
y = 2x + 3
y = 1/2x + 7
y = 2x + 1
y = -2x + 1
5. Sammy is saving up to buy a PS5 plus. He has $40 and will save $60 per week. Which equation represents this situation?
1 point
y = 40x + 60
y + 60x + 40
y = 60x - 40
y = 40x - 60
6. Sammy is saving up to buy a PS5 plus. He has $40 and will save $40 per week. How long will it take Sammy to save the money if the PS5 plus costs $600?
11 weeks
12 weeks
13 weeks
14 weeks
7. Steph made $360 working 30 hours last week. Sam made $195 working 15 hours last week. Who made more per hour?
Steph
Sam
Answer:
B, A package costs $7 plus $4 per pound to ship. B, y = 2x - 2 B, y = -1/3x + 3 C, y = 2x + 1 B, y = 60x + 40 D, 14 weeks (600 = 40 + 40x)Sam, ($13hr)i hope this helps, good luck :)
Pass a brotha some help :(
Answer and Step-by-step explanation:
Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.
10y - 50 + 6y + 12
Now, combine like terms.
16y - 38
#teamtrees #PAW (Plant and Water)
Please help
How can you describe the graph of the equation y= mx + b? Explain
Answer:
mx is the slope. b is the y-intercept
Step-by-step explanation:
the first thing you should always do is identify your slope this is key for graphing. remember your slope is b so what ever b is you locate that point in the x axis.
then whatever your slope is remember that it is rise over run so say your equation is y=3x+5 you plot the point on the y intercept which is 5. now 3x is your slope so you put it as a fraction to make it easier this is what it looks like in a fraction "3/1" so you go up 3 on the graph and over 1 because of rise/run
(HELP FAST PLEASE)
Three identical cell phones weigh 18.7 ounces. What is the combined weight of two cell phones that are also identical to the three cell phones mentioned in the first sentence?
Answer:
Two of them, actually.) ... It weighs 4.87 ounces — less than a third of a pound. ... In the photo shown above, Philip Shenon, a Times reporter, sits with ... Phil and I carried the satphone from Frankfurt — it was housed in two 65-pound suitcases. ... Modern mobile satellite data units weigh a total of about three
Step-by-step explanation:
thats all i know
