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2 years ago

What is the constant terim in the expression 7k + 8 + 2lk + 3l? answer quick!

Mathematics

1 answer:

ehidna [41]2 years ago

3 0

Answer:

The constant in the expression is '8'.

Step-by-step explanation:

<u>The constant is a number with no variable multiplied with the constant. </u>

In this expression, 7k has a variable 'k', which is not a constant.
If we look at 8, we can tell that it has no variable multiplied. This is a constant.
When we look at the 2lk and 3l, they both have variables 'lk' and 'l' respectively. They are not constants.

Hence, the constant in the expression is '8'.

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State whether the linear equations in each pair are parallel, perpendicular,or neither.

posledela

All I know is they can’t be parallel because they don’t have the same gradient. I don’t think they are perpendicular either but don’t fully trust me on that

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2 years ago

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Evaluate each expression if x = -2 and y = 3<br><br> number 34 <br><br> show step by step please!!

GREYUIT [131]

The answer is I’m the photo

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2 years ago

10-d = -34-5d solve this equation

algol13

<h3><u>Explanation</u></h3>

Given the equation.

$10 - d = - 34 - 5d$

Solve the equation for d-term.

Because we cannot subtract or add up constants and variables, we simply move the same variable term to the same side and constant term to the same constant side.

$10 + 34 = - 5d + d \\ 44 = - 4d \\ \frac{44}{ - 4} = d \\ - 11 = d$

Answer Check

Substitute d = -11 in the equation.

$10 - ( - 11) = - 34 - 5( - 11) \\ 10 + 11 = - 34 + 55 \\ 21 = 21$

The equation is true for d = -11.

<h3><u>Answer</u></h3>

<u> $\large \boxed{d = - 11}$ </u>

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3 years ago

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Mr. Nolan has a bank account that compounds interest

german

Answer: At the end of the day on December 8, he has a total balance of $2841.02

Step-by-step explanation:

The rate at which the compound interest adds up is a 3.7%.

His principal is $2644.08, on the 7th of December, he withdraws $550. Thus, his balance is = $2644.08 - $550 = $2094.08.

He later deposits $934, after being paid by his employer.

That is $2094.08 + $934 = $3028.08

Which is his balance at the end of the day on December 7.

Remember that the rate is daily, at a 3.7%.

A 3.7% of the balance of December 7, $3028.08 is $112.039.

In total, interest +amount = real balance,

$112.039+$3028.08 = $3140.119

He later withdraws $300 for holiday shopping = $3140.119 - 300 = $2840.119

But 1 dollar = 100 cents and vice versa.

Therefore, $2840.119 = $2841.019

In two decimal places, that is approximately $2841.02

Therefore, Mr Nolan's balance at the end of December 8 is $2841.02.

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3 years ago

Evaluate the given integral by changing to polar coordinates. 8xy dA D , where D is the disk with center the origin and radius 9

BabaBlast [244]

Answer:

Step-by-step explanation:

∫∫8xydA

converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.

So,

∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ

So we integrate r from 0 to 9 and θ from 0 to 2π.

∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ

= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ

= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ

= 8[6561/4]∫(cosθsinθ)dθ

= 13122∫(cosθsinθ)dθ

Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2

Substituting this we have

13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ

= 13122/2[-cos2θ]/2 from 0 to 2π

13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]

= -13122/4[cos4π - cos(0)]

= -13122/4[1 - 1]

= -13122/4 × 0

= 0

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3 years ago