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2 years ago

Will mark brainliest.Please help and explain your answer!

Mathematics

1 answer:

Setler [38]2 years ago

5 0

Answer:

4D -4 is 1 ( d-minus 1 )

Step-by-step explanation:

the distance in feet that Karina swims in a race is represented by 4D - 4 where D is the distance for each lap.

to get equivalent expression we Factor the expression 4 d - 4

factor out for from the expression 4 d - 4 when we Factor at 4 we divide each term by 4.

4d -4

4(d-1)

the equivalent expression for for the -4 is 4 ( d - 1)

You might be interested in

5,-5/2,5/4,-5/8 what is the 5th term

Bumek [7]

Answer: your answer would be 5/16th :)

8 0

2 years ago

Read 2 more answers

A large tank is filled to capacity with 300 gallons of pure water. brine containing 5 pounds of salt per gallon is pumped into t

Licemer1 [7]

If $A(t)$ is the amount of salt in the tank at time $t$ , then the rate at which this amount changes over time is given by the ODE

$A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{5\text{ lb}}{1\text{ gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}$

$A'(t)+\dfrac1{100}A(t)=15$

We're told that the tank initially starts with no salt in the water, so $A(0)=0$ .

Multiply both sides by an integrating factor, $e^{t/100}$ :

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=15e^{t/100}$
$\left(e^{t/100}A(t)\right)'=15e^{t/100}$
$e^{t/100}A(t)=1500e^{t/100}+C$
$A(t)=1500+Ce^{-t/100}$

Since $A(0)=0$ , we have

$0=1500+C\implies C=-1500$

so that the amount of salt in the tank over time is given by

$A(t)=1500(1-e^{-t/100})$

After 10 minutes, the amount of salt in the tank is

$A(10)=1500(1-e^{-1/10})\approx142.74\text{ lb}$

8 0

3 years ago

I need help with this please !! I have to use the tabular method which is using like the boxes. Thank you!!

NikAS [45]

Answer:

a. 12 - 8x - x² + x³

b. 275 - 375x - 351x² + 240x³ + 112x⁴

c. 30 + 37m - m² - 25m³ - 14m⁴ + 3m⁵

d. 81 + 9x² + x⁴

Step-by-step explanation:

Tabular method is what I hear people call "Partial Products". Alright. All you have to do is look at how many terms are in each factor, break them up separately into columns and rows, then do your multiplication. This is the best example you will get, and just so you know, it is NOT drawn to scale [IMPERFECT]:

9 | -3x | x²

------|-------|-----

9 | 81 | -27x | 9x²

____________________

3x | 27x| -9x² | 3x³

| | |

____________________

x² |9x² | -3x³ | x⁴

| | |

Add up all the boldfaced terms inside the box, and you will get the above answer.

I am joyous to assist you anytime.

3 0

2 years ago

Solve the linear equation.

SIZIF [17.4K]

Answer:

x = 257/363

Step-by-step explanation:

8x+32=15(25x-15)-4x

8x+32=375x-225-4x

8x+32=371x-225

8x-8x+32+225=371x-8x-225+225

257=363x

$x=\frac{257}{363}$

3 0

3 years ago

Please help it’s urgent

Rama09 [41]

Answer:

Angle CED

Step-by-step explanation:

They are opposite to each other in the X they make.

4 0

3 years ago