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3 years ago

Four times the difference of a number and 5 is the same as 5 increased by four times the number plus five times the number

Mathematics

1 answer:

asambeis [7]3 years ago

4 0

4*(x-5)+5=5+(4*x)+(5*x)

4x-20+5=5+4x+5x

-20+5=5+5x

-15=5+5x

-20=5x

-4=x

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Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 450 seconds a

Nuetrik [128]

You would have to estimate this and a rough estimate would be around 240

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3 years ago

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Which expression is equivalent to 4 square root 6 divided by 3 root 2?

saw5 [17]

Answer:

$\sqrt[12]{55296}$ /2

Step-by-step explanation:

$\sqrt[4]{6}$ / $\sqrt[3]{2}$ =1.2422

$\sqrt[12]{27}$ /2=0.66 <-- not matching with the top expression.

$\sqrt[4]{24}$ /2=1.11<--not matching with the top expression.

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3 years ago

Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?

sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have $V=IR^{2}$ and let $H$ be the subset of $V$ of all points on the line

$4x+3y=12$

We need to find if $H$ is a subspace of the vector space $V$ .

In $IR^{2}$ all the possibilities for own subspace of the vector space $IR^{2}$ are :

$IR^{2}$ itself.

The vector $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$

All lines in $IR^{2}$ that passes through the origin ( $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$ )

We know that $H$ is the subset of $IR^{2}$ of all points on the line $4x+3y=12$

If we look at the equation, the point $\left[\begin{array}{c}0&0\end{array}\right]$ doesn't verify it because :

$4x+3y=12\\4(0)+3(0)=12\\0=12$

Which is an absurd. Therefore, $H$ doesn't contain the origin (and $H$ is a line in $IR^{2}$ ). Finally, it can't be a vector space of $V=IR^{2}$

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3 years ago

Please helpppppp

melomori [17]

Given Information:

Years = t = 35

Semi-annual deposits = P = $2,000

Compounding semi-annually = n = 2

Interest rate = i = 6.5%

Required Information

Accumulated amount = A = ?

Answer:

Accumulated amount = $515,827

Step-by-step explanation:

The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by

FV = PMT * ((1 + i/n)^nt - 1)/(i/n))

Where

n = 2

i = 0.065

t = 35

FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))

FV = 2,000*(257.91)

FV ≈ $515,827

Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.

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3 years ago

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liberstina [14]

7/10 because you divide by 10

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