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3 years ago

If a term is multiplied by zero, the result product will always be

1 answer:

4 0

Hi there!

If any term, no matter what the number multiplied by zero will always turn out to be zero. I can give you an example of why this is correct.

We'll use apples. :P

If we have four apples multiplied by zero, you'd have zero apple because there's NO groups of apples to use.

Two times three is six because there are two groups of three, or three groups of two. But since earlier we said that there were zero groups of apples, there is zero groups of four so that cancels out to make none.

Hope this helps! :D

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I need help please!!!

Semmy [17]

Answer:

x=1

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1

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5 0

3 years ago

Read 2 more answers

Johnny opened a savings account 3 years ago. The account earns 7% interest, compounded continuously. If the current balance is $

torisob [31]

Answer: the initial deposit is $162.1

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

r = 7% = 7/100 = 0.07

t = 3 years

A= $200

Therefore,

200 = P x 2.7183^(0.07 x 3)

200 = P x 1.234

P = 200/1.234

P = $162.1 to the nearest cent

7 0

4 years ago

3x+4(x-8)-14 evaluate for x=11

djverab [1.8K]

Answer:

For X = 11, the expression is equal to 31

Step-by-step explanation:

Hello

For X = 11 you only have to replaced the value into the expression, so:

3(11) + 4(11-8) - 14

33 + 4(3) - 14

33 + 12 - 14

Best regards

4 0

3 years ago

Read 2 more answers

According to the manufacturer of a backup UPS device, the normal output voltage is 120 volts. The sample of 40 measured voltage

anyanavicka [17]

Answer:

z = 1.83<1.96

null hypothesis is accepted

The sample is came from a population mean

Step-by-step explanation:

Step :-1

The sample of 40 measured voltage amounts from a unit have a mean of 123.59 volts and a standard deviation of 0.31 volts

given sample size n =40

mean of the sample ×⁻ = 123.59 volts

standard deviation of sample σ = 0.31 volts

Step2:-

Null hypothesis :-

the sample is from a population with a mean equal to 120 volts.

H₀ : μ =120

Alternative hypothesis:-

H₁ : μ ≠120

level of significance:- α =0.05

Step 3:-

The test statistic

$z = \frac{x_{-}-mean }{\frac{S.D}{\sqrt{n} } }$

substitute values and simplification

$z = \frac{123.59-120}{\frac{0.31}{\sqrt{40} } }$

on simplification we get the calculated value

z = 1.83

The tabulated value z =1.96 at 0.05 % level of significance

Conclusion:-

Calculated Z < The tabulated value z =1.96 at 0.05 % level of significance

so the null hypothesis is accepted

The sample is came from a population mean

4 0

3 years ago

The gas gauge in a car shows it has 40% of a tank of gas. If the car has about 5 gallons, approximately how many gallons can the

avanturin [10]

Answer:

the tank can hold 12.5 gallons when it is full

Step-by-step explanation:

Let's assume

tank can hold 'x' gallons when it is full

we are given

The gas gauge in a car shows it has 40% of a tank of gas

So, gas in car is

$=\frac{40}{100}\times x$

and we have

the car has about 5 gallons

so, we can set it equal

and then we can solve for x

$5=\frac{40}{100}\times x$

$5=\frac{4}{10}\times x$

$5=\frac{2}{5}\times x$

Multiply both sides 5

$5\times 5=5\times \frac{2}{5}\times x$

$5\times 5=2x$

$25=2x$

we get

$x=12.5$

So, the tank can hold 12.5 gallons when it is full

8 0

3 years ago