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2 years ago

-3x + 1 < 7 helpppppppp

Mathematics

2 answers:

Effectus [21]2 years ago

8 0

Answer:

solving for x

x>-2

Step-by-step explanation:

Plz give brainliest.

Simora [160]2 years ago

6 0

Answer:

x>-2

Step-by-step explanation:

to get the -3x alone, we have to subract 1 from 6

7-1 = 6

-3x<6

6/-3 = -2

flip the symbol since we divided by a negative number

x> -2

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How can I figure the unit rate in feet per second for 180 miles in 2 hours

salantis [7]

Unit rate= speed, speed= distance/time

180 miles/ 2 hrs= 90 mph

Final answer: 90 mph

8 0

3 years ago

According to the general equation for conditional probability, if P(A, B) =4/7

Neko [114]

Answer:

$P(A|B) = \frac{32}{49}$

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(A|B) = \frac{P(A \cap B)}{P(B)}$

In which

P(A|B) is the probability of event A happening, given that B happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(B) is the probability of B happening.

We have that:

$P(A \cap B) = \frac{4}{7}, P(B) = \frac{7}{8}$

$P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{4}{7}}{\frac{7}{8}} = \frac{4}{7}*\frac{8}{7} = \frac{32}{49}$

Then

$P(A|B) = \frac{32}{49}$

8 0

3 years ago

Hello , how to do 6(iii)?

Doss [256]

Answer:

$\displaystyle \frac{dS}{dt}=\frac{3}{50r}$

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

$\displaystyle V=\frac{4}{3}\pi r^3$

Therefore:

$\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Next, the surface area of a sphere S is given by:

$\displaystyle S=4\pi r^2$

Therefore:

$\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}$

We can divide both sides by 2:

$\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}$

We can substitute this into dV/dt. Rewriting:

$\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)$

So:

$\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}$

Since dV/dt = 0.03 or 3/100:

$\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}$

Therefore:

$\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)$

Where k = 3/50.

And we have shown that dS/dt is directly proportional to 1/r.

4 0

3 years ago

Help pretty please!<br> Make sure its right!

LenKa [72]

Answer:

B. $-\frac{3}{5}$ is located on the left of -2.

Step-by-step explanation:

On a number line, the greater the negative number, the further to the left of a negative line the number is. It says that -3/5 is greater than -2, so it is to the left of 2. It also cannot be C or D as both numbers are negative, and therefore, to the left of 0.

Hope this helps! :D

4 0

2 years ago

Read 2 more answers

Damons father started a college fund on Damons 8th birthday. He deposited $7500 into a certificate of deposit that yields an int

motikmotik

7500 with a interest of 0.23 for 10 years is 172.50 extra now if the intrest rate change ever year this answer isn't valid

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2 years ago