Here is another math question -5/3*(-1/8)

A cognitive psychologist wants to investigate whether memory for a shopping list is affected by the strategy used to study the l

Orlov [11]

Answer:

There is no sufficient evidence

Step-by-step explanation:

See attached files

7 0

3 years ago

HOW DO I FIND QR<br><br> PLEASE HELP

Paul [167]

Solution: For finding QR we need to apply Pythagoras Theorem

What is Pythagoras Theorem ?

ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°

According to this law let's apply it in the diagram shown here.

(Hypotenuse)² = (Adjacent)² + (Opposite)²

(PR)² = (QR)² + (PQ)²

(5x - 2)² = (QR)² + (3x - 1)²

(QR)² = (5x - 2)² - (3x - 1)²

After factorising both of them we get

(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)

(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1

(QR)² = 16x² - 14x + 3

QR = √(16x² - 14x + 3)

So, QR is √(16x² - 14x + 3)

8 0

2 years ago

You know 4−3i is the complex conjugate of 4+3i. If you multiply the denominator of −2+5i4+3i by 4−3i, what will you get? Enter y

Alona [7]

Answer:

25

Step-by-step explanation:

Given

(-2 + 5i)/(4 + 3i)

Required

Multiply the denominator by 4 - 3i

The denominator of the fraction above is 4 + 3i

When multiplied by 4 - 3i, the result is as follows;.

Result = (4 + 3i)(4 - 3i)

Expand

Result = 4(4 - 3i) + 3i(4 - 3i)

Open both brackets (take it one at a time)

Result = 4 * 4 - 4 * 3i + 3i(4 - 3i)

Result = 16 - 12i + 3i(4 - 3i)

Open the second bracket

Result = 16 - 12i + 12i - 3i * 3i

Result = 16 - 12i + 12i - 9i²

In complex numbers, i = √-1

i² = (√-1)²

i² = √-1 * √-1

i² = -1

The expression

Result = 16 - 12i + 12i - 9i²

Becomes

Result = 16 - 12i + 12i - 9(-1)

Result = 16 - 12i + 12i + 9

Collect like terms

Result = 16 + 9 + 12i - 12i

Result = 25 + 0

Result = 25

Hence, when the denominator of the fraction is multiplied by 4 - 3i, the result is 25

3 0

3 years ago

Given the function f(x) = 3 x - 21 + 6, for what values of x is f(x) = 18?

IrinaK [193]

Answer:

X=2

If 21+6=27 then subtract what f(x) is (which is 18) from the 27. 27-18=6 then 3x2=6 so therefore your answer is 2. Hope this helps!!

4 0

3 years ago

Read 2 more answers

The population of a certain town was 10,000 in the year 2000 the town manager predicted that for the next 20 years the populatio

Bond [772]

The population of the town from 2000 to 2020 is modeled by the equation:

$p(t)=10000(1.05)^{t}$

Where t is the number of years since 2000.

We have to find the expected population of the town in 2002. The number of years from 2000 to 2002 are 2, so we have to find p(2). Replacing t by 2 in the above equation, we get:

$p(2)=10000(1.05)^{2} \\ \\ 
p(2)=11025$

So, according to the model, the population of town in 2002 is predicted to be 11,025.

8 0

3 years ago