Answer:
a) <em>t</em> ≥ 5
b) (see below)
Step-by-step explanation:
First, make note of the info you are given and what you're trying to do:
- at midnight, 5°C
- drops consistently 2°C per hour
- finding <em>t</em>
- <em>t </em>= # of hours past midnight when temp. was past -4°C
- put <em>t</em> on a number line
So, first, you need to find the first point at when the temperature goes past -4°C. Notice that the question is asking for past -4°C, not -4°C<em> and</em> past. This means we're not including -4°C.
Every hour, we're dropping by 2°C. You can draw a visual to better understand the situation. See the image below.
So we know that starting from 5 am, we are lower than -4°C.
This is 5 hours from midnight.
So <em>t</em> ≥ 5. This means that the number of hours past midnight when the temperature was colder than -4°C was 5 or more hours.
On the number line, draw a circle on 5 (between 4 and 6), but shade it in because it includes 5. Then, shade or highlight to the right of that circle to the end of the number line.
This shows that <em>t</em> is equal to or greater than 5.
Answer:
The answer is 40$ because 40$ makes the most sense in this particular equation
Step-by-step explanation:
9514 1404 393
Answer:
4,811.49 m³
Step-by-step explanation:
The volume of a cone is computed using the formula ...
V = (1/3)πr²h
Using the given numbers, we find the volume to be ...
V = (1/3)π(15.35 m)²(19.5 m) = 1531.54625π m³ ≈ 4,811.49 m³
_____
<em>Additional comment</em>
If you inappropriately use 3.14 for π, you get a volume of 4809.06 m³. That 3-digit value is inappropriate because a value accurate to 6 significant figures or more is needed to support an answer accurate to 6 significant figures.
The value of expression is: 9/8
Step-by-step explanation:
In order to evaluate the expression at given value, the given value is put into the expression and the expression is simplified.
Given expression is:

Putting j = 3/4

Hence,
The value of expression is: 9/8
Keywords: Fractions, addition
Learn more about fractions at:
#LearnwithBrainly



Use the distributive property to multiply 1/5 by 4-3x.

Multiply 1/5 and 4 to get 4/5.

Multiply 1/5 and -3 to get -3/5.

Use the distributive property to multiply 1/7 by 3x-4.

Multiply 1/7 and 3 to get 3/7 & 1/7 × -4 to get -4/7.

Subtract
from both sides.

Combine
and
to get
.

Subtract 4/5 from both sides.

The least common multiple of 7 and 5 is 35. Convert -4/7 and 4/5 to fractions with denominator 35.

Because
and
have the same denominator, subtract them by subtracting their numerators.

Subtract 28 from -20 to get -48.

Multiply both sides by
, the reciprocal of
.

Multiply
by
by multiplying the numerator by the numerator and the denominator by the denominator.

Carry out the multiplications in the fraction
.

Reduce the fraction 1680/1260 to its lowest terms by extracting and cancelling out 420.
