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3 years ago

Nghiệm của phương trình log2(x-2)=3

Mathematics

2 answers:

Phantasy [73]3 years ago

7 0

The correct answer is X =6

vodka [1.7K]3 years ago

5 0

Answer:

x =6

Step-by-step explanation:

log2(x - 2) = log2(8)

x-2 = 8

x=6

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A teacher surveyed his class about how many played a sport and worked part-time at a job. The Venn diagram shows her results. If

Elanso [62]

Answer:

2/ 5

Step-by-step explanation:

From the venn diagram, find tbe probability ;

P(work | sport)

Recall :

P(A | B) = P(A n B) / P(B)

From the venn diagram :

P(work | sport) = P(work n sport) / P(sport)

P(work n sport ) = 4

P(sport) = 6 + 4 = 10

Therefore,

P(work | sport) = P(work n sport) / P(sport)

P(work | sport) = 4 / 10

P(work | sport) = 2/5

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3 years ago

For a study on a new cold medicine, a group of 100 participants with cold symptoms was studied for one month in the spring. One-

Ivenika [448]

One fifth of the participants is 1/5*100=100/5=20 is the number of the participants given medicine. So the number of participants given placebo is 100-20=80.

80% of the 80 who took placebo felt improvements, so 20% of 80, which is
(20/100)*80=(2/10)*80=160/10=16 is the number of participants who took placebo and felt no improvement.

P(choosing participant who took placebo and felt no improvement)=

n(participant who took placebo and felt no improvement)/n(participants)
=16/100=0.16

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3 years ago

The volume of a cylinder is given by the formula y = 72h, where r is the radius of the cylinder and h is the height

trasher [3.6K]

Answer:

The second answer is the correct answer and the explanation in the attachment

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3 years ago

Jodi bought a new car with a 14-gallon gas tank. Around town she is able to drive 336 miles on one tank of gas. On her first tri

gizmo_the_mogwai [7]

Part A:

Answer:

$336\leq 14m\leq 448$

Step-by-step explanation:

Step 1:

Jodi bought a new car with a 14-gallon gas tank.

Around town, she can drive 336 miles on one tank of gas.

She drove 448 miles on one tank on a trip on the highway

m will represent the number of miles per gallon of gas.

Step 2:

If m represents the number of miles per gallon of gas she gets and her tank holds 14 gallons then 14m represents the number of miles she can drive.

14 gallons · $\frac{m}{1} = 14m$

Around town, she was able to drive 336 miles and on the highway, she was able to drive 448

So... $336\leq 14m\leq 48$

Part B:

Answer:

The compound inequality is two simple inequalities separated by "and" is $336\leq 14m$ and $14m < 448$ .

Step-by-step explanation:

Step 1:

We are told Jodi bought a new car with a 14-gallon gas tank.

Around town, she can drive 336 miles on one tank of gas. She drove 448 miles on one tank of gas on her first trip traveling on highways

Here we need to rewrite the compound inequality

Let $m$ represent the number of miles per gallon of gas.

Step 2:

Since $14m$ must greater than or equal to $336$ and less than or equal to $448$ :

The two simple inequalities must be separated by the word "and"

$336\leq 14m$ and $14m$

Part C:

Answer:

The solution of simple inequality is $24\leq m$ and $m\leq 32$

Step- by step explanation:

Step 1:

We are given Jodi bought a new car with a 14-gallon gas tank. Around town, she can drive 336 miles on one tank of gas. She drove 448 miles on one tank of gas on her first trip traveling on highways.

Step 2:

Solve each simple inequality by dividing both sides by 14:

$336\leq 14m$ and $14m\leq 448$

$\frac{336}{14}\leq \frac{14m}{14}$ and $\frac{14m}{14} \leq \frac{448}{14}$

$24\leq m$ and $m\leq 32$

Part D:

Answer:

The solution of the compound inequality is $24\leq m\leq 32$

Step 1:

We are given Jodi bought a new car with a 14-gallon gas tank. Around town, she can drive336miles on one tank of gas. She drove 448 miles on one tank of gas on her first trip traveling on highways. To solve the compound inequality without rewriting it as two simple inequalities

Step 2:

Solving compound $336\leq 14m\leq 448$ for $m$ by dividing all sides by 14

$226\leq 14m\leq 448\\$