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Dominik [7]
3 years ago
13

Show your work please so I can understand it better

Mathematics
2 answers:
serious [3.7K]3 years ago
6 0
b/7 = -5

multiply both sides by seven

b= 7(-5)

multiply 7 times negative 5

b= -35

—————————-

c/8 - (-9) = 18

c/8 + 9 = 18

subtract both sides by 9

c/8 =18 - 9
c/8 = 9

multiply both sides by 8

c = 8(9)

c = 72




hope this helped :)
hram777 [196]3 years ago
3 0

Answer:

b/7=-5

b=-5×7

b=-35

Step-by-step explanation:

2.c/8-(-9)=18

c/8+9=18

c/8=18-9

c/8=9

c=9×8

c=72

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Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7
vovangra [49]

Answer:

74

Step-by-step explanation:

4(2) raise to power 4 - 2(7) raise to power 2 +40

4(16) - 2(49) +40

64-98+40

64- 138

74

4 0
3 years ago
suppose you toss 3 coins at one time. what is the probability that exactly two land with heads facing up?
mezya [45]

The probability of getting heads is 3/8.

<u>Probability:</u>

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

Since 3 is a small number, let's list out all possible combinations.

H represents a head while T represents a tail.

3 Heads

HHH

2 Heads

HHT

HTH

THH

1 Head

HTT

THT

TTH

0 Head

TTT

The answer is

3/1+3+3+1=3/8

                                            OR

In general, we will find that the list resembles a particular row of the pascal's triangle.

If you want to know the probability of getting r heads (or tails) from n flips, it is the sum of the rth  elements in the n + 1 line. All elements of the series n+1.

\left[\begin{array}{ccc}N\\\\R\end{array}\right]/ 2ⁿ = \frac{n!}{r! * (n - r)!* 2^{n} }

n this case,

N =3andR= 2

   3!/ 2!×1! × 2³

= 6/ 2× 1 × 8

= 3/8

Learn more about Probability:

brainly.com/question/11234923

#SPJ4

5 0
1 year ago
If a number y has z positive integers factors, then y and 2z integer factors. True or false?​
harina [27]

Answer: TRUE

<h2 /><h2 /><h2 /><h2 /><h2>ANSWER IS IN THE PICTURE MARK ME BRAINLIEST!!</h2>

6 0
3 years ago
Read 2 more answers
A cake is removed from a 310°F oven and placed on a cooling rack in a 72°F room. After 30 minutes the cake's temperature is 220°
Fynjy0 [20]

Answer:

The time is 135 min.

Step-by-step explanation:

For this situation we are going to use Newton's Law of Cooling.

Newton’s Law of Cooling states that the rate of temperature of the body is proportional to the difference between the temperature of the body and that of the surrounding medium and is given by

T(t)=C+(T_0-C)e^{kt}

where,

C = surrounding temp

T(t) = temp at any given time

t = time

T_0 = initial temp of the heated object

k = constant

From the information given we know that:

  • Initial temp of the cake is 310 °F.
  • The surrounding temp is 72 °F.
  • After 30 minutes the cake's temperature is 220 °F.

We want to find the time, in minutes, since the cake's removal from the oven, at which its temperature will be 100°F.

To do this, first, we need to find the value of k.

Using the information given,

220=72+(310-72)e^{k\cdot 30}\\\\72+238e^{k30}=220\\\\238e^{k30}=148\\\\e^{k30}=\frac{74}{119}\\\\\ln \left(e^{k\cdot \:30}\right)=\ln \left(\frac{74}{119}\right)\\\\k\cdot \:30=\ln \left(\frac{74}{119}\right)\\\\k=\frac{\ln \left(\frac{74}{119}\right)}{30}

T(t)=72+(310-72)e^{(\frac{\ln \left(\frac{74}{119}\right)}{30}\cdot t)}

Next, we find the time at which the cake's temperature will be 100°F.

100=72+(310-72)e^{(\frac{\ln \left(\frac{74}{119}\right)}{30}\cdot t)}\\72+238e^{\frac{\ln \left(\frac{74}{119}\right)}{30}t}=100\\238e^{\frac{\ln \left(\frac{74}{119}\right)}{30}t}=28\\e^{\frac{\ln \left(\frac{74}{119}\right)}{30}t}=\frac{2}{17}\\\ln \left(e^{\frac{\ln \left(\frac{74}{119}\right)}{30}t}\right)=\ln \left(\frac{2}{17}\right)\\\frac{\ln \left(\frac{74}{119}\right)}{30}t=\ln \left(\frac{2}{17}\right)\\t=\frac{30\ln \left(\frac{2}{17}\right)}{\ln \left(\frac{74}{119}\right)}\approx 135.1

4 0
3 years ago
In which step of the scientific method is information obtained through the senses
Eva8 [605]
A hoped this helped u djdjdjdjdjdj
4 0
4 years ago
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