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.
<span>I think you meant 6x²+13x-5 so first thing we have to do is factor it which is really quite tricky with this kind of trinomial so first take ac which is 6 times -5 so -30 now figure out factors of -30 that will add up to 13 how about 15 and -2 now that we have the factors write the equation again</span>
<span /><span> 6x²+15x-2x-5 </span>split the equation in half<span />
<span>6x²+15x -2x-5 so out of the first equation we can pull a 3x out</span>
<span>3x(2x+5) and out of the second we can pull a negative 1</span>
<span>3x(2x+5) -1(2x+5) rewrite it</span>
<span>(3x-1)(2x+5) so the 3x-1 is the factor we already had so the other side is (2x+5)</span>
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<span><u>HOPE THIS HELPS!!!</u></span>
Democracy- The democracy is a government of the people by the people and for the people.
It means the room by the people.
It is a form of government in which the rulers are elected by the people.
Features of Democracy :
a) Major decisions by Elected Leaders :
In a democratic government the major decisions are taken by the leaders who are elected by the people of that country. These elected leaders represent the whole country so in this way the need of all people are satisfied.
b) Free and Fair Electoral Competition :
A democracy is based on a free and fair election where does currently in power have a fair chance of losing.
c) One Person, One Vote , One Value :
In a democratic country each and every adult is provided a single word which is having equal value. It means each what must have one value then that of other.
d) Rule of Law and Respect of Rights :
In democracy a country can be rule only within limits set by constitutional law and citizens' rights.
Answer:
$300 was deducted from tax. The tax rate is 26.1%
Step-by-step explanation:
An employee earns a gross pay of $1,200.00 per week. The employee’s net pay is $850.00. The employee’s voluntary 401(k) contribution is $50.00 per month.
There was blank deducted for taxes. The tax rate is blank
Solution:
Contributions that are made for retirement such as 401(k) contribution plans are made on a pretax basis. This means that they are removed from your taxable income, thereby reducing the tax.
Gross pay = $1200
Taxable income = Gross pay - 401(k) contribution
Taxable income = $1200 - $50 = $1150
Net pay = $850
Tax = Taxable income - Net pay
Tax = $1150 - $850
Tax = $300
Tax rate = (Tax / taxable income) * 100%
Tax rate = ($300 / $1150) * 100% = 26.1%
