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stealth61 [152]
1 year ago
5

2. Patrick worked 5.25 hours on Monday,

Mathematics
1 answer:
hichkok12 [17]1 year ago
5 0

Answer:

Step-by-step explanation:

5.25+6.75+7.75=

12+7.75=19.75

b->19.75

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4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4​
eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

a_n=a_1+d(n-1) and we are given enough info to fill in:

a_n=-35+4(n-1) and

a_n=-35+4n-4 and

a_n=-39+4n or in linear format:

a_n=4n-39 where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

a_2=4(2)-39 so

a_2=8-39 and

a_2=-31

The third term:

a_3=4(3)-39 and

a_3=12-39 so

a_3=-27 and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

a_5=4(5)-39 and

a_5=20-39 so

a_5=-19

7 0
3 years ago
What is the length of a rectangle that has a width of 2.5 centimeters and an area of 20.5 square centimeters?
olchik [2.2K]
Do 20.5 divided by 2.5 which equals
8.2
7 0
4 years ago
Read 2 more answers
What is the equation (simplified) the inverse of y=2x^2?
Yuki888 [10]
2x^2=y\ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=\dfrac{y}{2}\\\\\boxed{x=\sqrt{\frac{y}{2}}}\\\\x=\dfrac{\sqrt{y}}{\sqrt2}=\dfrac{\sqrt{y}\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\to\boxed{x=\dfrac{\sqrt{2y}}{2}}\\\\\\\boxed{f(x)=2x^2\to f^{-1}(x)=\dfrac{\sqrt{2y}}{2}}
3 0
3 years ago
Find the measures of the interior angles of the triangle.
jeka94

Answer:

∠A = 30°

∠B = 60°

∠C= 90°

Step-by-step explanation:

This is a right triangle, you can see it mainly by the red square in C, and it is always used to mark 90 degrees.

Knowing that, you now know <em>∠C is 90°</em>

Now, to find ∠B, you should use the following equation:

  • A+B+C = 180°

This means that the sum of the three angles of a triangle gives 180. ALWAYS. So to find the missing angle, ∠B, do the following:

Fill the values of the equation with the angles you now know:

  • 30° + B + 90° = 180

Solve the equation, passing the 30° and 90° to the other side of the equal sing with Inverse Operation:

  • B = 180° - 30° - 90°

<em>B = 60</em>

<em>Hope it helps!!</em>

3 0
3 years ago
Yancey collects plastic banks .He has three different banks: a pig, a cow, and a horse. How many ways can Yancey arrange his ban
Stells [14]


let h = horse, let c = cow, let p = pig

so,

hcp

hpc

cph

chp

phc

pch

so, that is 6 different ways she can arrange it.  

4 0
3 years ago
Read 2 more answers
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