<span>The sum of 324, 435, and 546 is 1305. If this number were to be expressed by the base of 7, we would need to figure out what value of exponent would satisfy the requirement. This can be done by setting up an equation where 7 to the power of x must equal 1305. Using logarithms, one can solve for x and find it to be 3.6866853. Thus the sum of the aforementioned numbers, expressed in by the base of 7, is 7^3.6866853.</span>
They met 480 meters from the house.
<h3><u>Calculus</u></h3>
Given that Noah and his grandfather were returning home from a walk, and when they were 800 m away from the house, the grandfather said that he was thirsty, so Noah immediately ran home, got a bottle of water, and ran back to meet his grandfather who never stopped walking at a steady pace, to determine how many meters from the house did they meet if noah ran four times as fast as his grandfather walked, the following calculation must be made:
- 200 x 4 = 800 - 200 = 600
- 300 x 4 = 1200 - 800 - (800 - 300) = 100
- 325 x 4 = 1300 - 800 - (800 - 325) = -25
- 320 x 4 = 1280 - 800 - (800 - 320) = 480 - 480 = 0
Therefore, they met 480 meters from the house.
Learn more about calculus in brainly.com/question/26453068
Answer:
Normally, sequences don't go behind 1, but let's see for this one.
f(-1) = 1
Step-by-step explanation:
Let's sub for -1 in x.
f(-1) = 2(-1) + 3.
f(-1) = -2 + 3
f(-1) = 1
:)
5 out of 20 like Star Wars so what value (x) should like Star Wars out of 200. Set up a proportion comparing the two.
x= # of people in 7th gr who like Star Wars
5/20= x/200
cross multiply
(5*200)= (20*x)
1000= 20x
divide both sides by 20
50= x
ANSWER: 50 people in the 7th grade should like Star Wars.
Hope this helps! :)
