Answer:
Step-by-step explanation:
I think your question is missing key information and the one below is similar to yours. Hope it will find you well:
"Alex has a block of wood that is in the shape of a rectangular prism dimensions 70 cm by 50 cm by 30 cm. He cuts a 10-cm square hole through the center of the prism. What is the volume of the remaining solid?
Here is my answer:
The volume of the rectangular prism: 70∗50∗30=105000 
The volume in the center (intersection of “square holes”): 10∗10∗10=1000
=> the volume of the remaining solid = The volume of the rectangular prism - The volume in the center = 105000 - 1000 = 104000
Answer:
See below in bold.
Step-by-step explanation:
Note that the numerators are the squares of 1, 2 3, 4 ...... and the denominators are the squares of 2, 3, 4, 5.....
The next 2 terms are 25/36 and 36/49.
The nth term is n^2 / (n + 1)^2 where n is the sequence number.
The 10th term is 10^2 / 11^2
= 100/121.
Answer:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.50x + 43y ≤ 200
Step-by-step explanation:
From the question we are told that:
If x and y represent the number of tickets Paige purchased for the 2 types of seats, Paige would like to attend at least 5 concerts.
The inequalities that models the situation above is given as:
x ≥ 0
y ≥ 0
x + y ≥ 5
Also from the question, we were told that: There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200.
The inequalities that models the situation above is given as:
29.50 × x + 43.00 × y ≤ 200
29.5x + 43y ≤ 200
Therefore, the system of inequalities that could Paige use to model this situation is:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.5x + 43y ≤ 200
Answer:
+3/2 (Answer B)
Step-by-step explanation:
If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:
-1
------------ = +3/2 (Answer B)
-2/3
Using exponential functions, it is found that:
a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying <em>exponential function</em> is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- Caffeine metabolize at a rate of 13% per hour, hence
.
Then:
Item a:
The coffee cup contains 150 milligrams of caffeine, hence 
.
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).
Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering <u>A(11) = 50</u>, hence:
The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at brainly.com/question/25537936
