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4 years ago

What is the value of k if √10 * k + 3 = 5?

Mathematics

1 answer:

Fittoniya [83]4 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

We want to find the value of k in

$\sqrt{10k} + 3 = 5$

We subtract 3 from both sides;

$\sqrt{10k} = 5 - 3$

Simplify on the right;

$\sqrt{10k} = 2$

Square both sides;

$10k = 4$

$k = 0.4$

If your equation in actually

$\sqrt{10k + 3} = 5$

Square both sides:

$10k + 3 = 25$

$10k = 22$

$k = 2.2$

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Evaluate 3x² - 4xy + 2y² - 1 for x = - 3 and y = 5

zhannawk [14.2K]

Answer:

$3x^{2} - 4xy + 2y { }^{2} - 1 \\ 3 \times ( - 3) { }^{2} - 4 \times ( - 3) \times 5 + 2 \times 5 {}^{2} - 1 \\ (3 \times 9) - ( - 60) + 50 - 1 \\ 27 + 60 + 50 - 1 \\ 165$

8 0

1 year ago

Read 2 more answers

Which of the following illustrates the truth value of the given conditional statement?

Blababa [14]

Answer:

Option A. F T → F

Explanation:

A conditional is represented by:

p → q

Where p is called the antecedent, and q is the consequent.

Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.

On the other hand, if the antecedent is true, the consequent can be either true or false.

1. State the antecedent of the conditional and is truth value

Antecedent: 6 > 10

Truth value: False, because 6 is not greater than 10.

2. State the consequent of the conditional and its truh value

8 • 3 = 24

Truth value: True, because 8 times 3 is 24.

3. Truth value of the conditional

Hence, the truth value of the conditional is:

False Truth → Truth, or

F T → T

Which is the option A.

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to (-3y - x) - (5y - 8x)?

Vinil7 [7]

Answer:

Step-by-step explanation:

plz mark brainliest

4 0

3 years ago

Megan has $15,000 to invest. She is considering two investment options. Option A pays 3.2% simple interest. Option B pays 4.1% i

True [87]

wheee

Compute each option

option A: simple interest

simple interest is easy

A=I+P

A=Final amount

I=interest

P=principal (amount initially put in)

and I=PRT

P=principal

R=rate in decimal

T=time in years

so given

P=15000

R=3.2% or 0.032 in deecimal form

T=10

A=I+P

A=PRT+P

A=(15000)(0.032)(10)+15000

A=4800+15000

A=19800

Simple interst pays $19,800 in 10 years

Option B: compound interest

for interest compounded yearly, the formula is

$A=P(1+r)^t$

where A=final amount

P=principal

r=rate in decimal form

t=time in years

given

P=15000

r=4.1% or 0.041

t=10

$A=15000(1+0.041)^{10}$

$A=15000(1.041)^{10}$

use your calculator

A=22418.0872024

so after 10 years, she will have $22,418.09 in the compounded interest account

in 10 years, the investment in the simple interest account will be worth $19,800 and the investment in the compounded interest account will be worth$22,418.09

4 0

3 years ago

Read 2 more answers

11. Simplify 3/ 2 - /2

Igoryamba

answer:

you can't simplify that

step-by-step explanation:

3/2- /2 isn't a proper equation, therefore it cannot be simplified

please let me know if the issue is that you forgot the numerator, and in the instance that this is the case please type in the comments the numerator and i'll gladly change my answer

have a nice day!

8 0

3 years ago