All categories

3 years ago

Translate to an inequality: *use h to represent the height

2 answers:

6 0

So the height (h) of a cumulus cloud is at least (>) 2100 feet (2100 feet)

h>2100
at least means the least it can be is 2100 feet, and it can go more

IRISSAK [1]3 years ago

5 0

In inequalities, at least usually means less than or equal to... So the correct answer is h≥2,100 feet.

You might be interested in

Please could someone help me

jasenka [17]

Answer:

You have to multiply the number of miles by the amount of money per mile to figure out the cost of his journey.

6 0

3 years ago

Read 2 more answers

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

3 years ago

John is driving to his office to attend a meeting. In the first 10 minutes, he covers a distance of 1 mile every minute. Then he

Georgia [21]

Answer:

The total distance cover by John is 15 min to reach his office .

Step-by-step explanation:

Given as ;

In the first 10 minutes , the distance cover is 1 miles every minutes

So, for 10 minutes , total distance cover by John = 10 × 1 = 10 miles

Again ,

John cover distance of 0.5 miles for every minutes , he travel for next 10 min

So, for next 10 min, total distance cover by John = 10 × 0.5 = 5 miles

So, The total distance cover by john = 10 miles + 5 miles = 15 miles

Hence The total distance cover by John is 15 min to reach his office . Answer

5 0

3 years ago

3. Solve the system of equations using linear combination. a + c = 9 8a + 4.5c = 58

lana66690 [7]

Hey I have posted a picture the method I use to solve simultaneous equations is change the sign and follow the new sign.
This involves changing the sign for the second equation and solving it