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2 years ago

5d^9\4(d)^2. Simplify

Mathematics

1 answer:

Vesna [10]2 years ago

7 0

Answer: <u>5d^7/4</u>

Step By Step:

d^2/d^2 = d^9-2

= 5d^9-2 / 4

= 5d^7/ 4

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Andreus made 625$ mowing yards. He worked for 5 days and earned the same amount of money each day.How much money did he earn per

Alexandra [31]

Just divide 625$ by 5. The answer is 125$ per day.

5 0

2 years ago

Read 2 more answers

g My Notes Water flows from the bottom of a storage tank at a rate of r(t) = 200 − 4t liters per minute, where 0 ≤ t ≤ 50. Find

Arada [10]

Answer:

4,200 liters

Step-by-step explanation:

The flow rate is given by:

$r(t) = 200 - 4t$

Integrating the flow rate expression from t=0 to t=30 minutes, yields the total volume that flows out of the tank during that period:

$\int\limits^{30}_0 {r(t)} = \int\limits^{30}_0 {(200 - 4t} )\, dt \\V=(200t - 2t^2)|_0^{30}\\V= (200*30 -2*30^2)-(200*0 -2*0^2)\\V=4,200\ liters$

4,200 liters of water flow from the tank during the first 30 minutes.

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3 years ago

Nathan and his brother Zach love to play video games. Right

Monica [59]

Answer:

$N=2Z-11$

$\begin{array}{cc}\text{Zac's score}&\text{Natan's score}\\ 6&1\\7&3\\8&5\\9&7\end{array}$

Step-by-step explanation:

Nathan's score is 11 less than 2 times Zac's score.

Let Z points be Zac's score and N points be Natan's score. then

2 times Zac's score = 2Z

11 less than 2 times Zac's score = 2Z -11

So, N = 2Z - 11

1. If Z=6, then $N=2\cdot 6-11=12-11=1$

2. If Z=7, then $N=2\cdot 7-11=14-11=3$

3. If Z=8, then $N=2\cdot 8-11=16-11=5$

4. If Z=9, then $N=2\cdot 9-11=18-11=7$

Thus, four other possibilities are

$\begin{array}{cc}\text{Zac's score}&\text{Natan's score}\\ 6&1\\7&3\\8&5\\9&7\end{array}$

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3 years ago

How many 1/10 cubes are in 4 1/2

larisa [96]

Answer:

45 cubes

Step-by-step explanation:

There are 10 cubes in each 1. so 10 x 4 = 40. 1/2 of 10 is 5 so 40+5 = 45.

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2 years ago

1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x

qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is $(2x+10)^\circ$ , so the measure of arc DF is

$m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ$

The inscribed angle theorem tells us that the central angle subtended by arc DF, $\angle DOF$ , has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

$m\angle DOF=2m\angle OEF=64^\circ$

so the measure of arc DF is also 64 degrees. So we have

$170-2x=64\implies106=2x\implies\boxed{x=53}$

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

$m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ$

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

$m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}$

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

$m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}$

7 0

2 years ago