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2 years ago

A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.

Mathematics

1 answer:

Maksim231197 [3]2 years ago

7 0

the correct answer whould be 65.62. but that is not a option for you so I dont know. try 72 it's the closest.

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Evaluate (4)^-4 pls answer!!!

geniusboy [140]

Answer:

Fraction: 1/256 or

Decimal: 0.00390625 or 0.00391

Step-by-step explanation:

4^-4=1/4^4

4^4=256

=1/256

8 0

3 years ago

Find the equation of the line that passes through the two points (5,-3) and (-5,2). Write your answer in standard form. Help me

lidiya [134]

Answer:

x + 2y = -1

Step-by-step explanation:

First, we'll find the slope.

Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2

Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:

y - 2 = -1/2(x - (-5)) *I used (-5, 2) but it doesn't matter which point you use

y = -1/2(x + 5) + 2

y = -1/2x - 1/2

Standard form:

1/2x + y = -1/2

x + 2y = -1

8 0

3 years ago

For what values of b will F(x) = logbx be a decreasing function?

Anastasy [175]

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

$F(x) = \log_{b}{(x)}$

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

3 0

3 years ago

Don put $4,000 in a savings account with an interest rate of 4% for three years. If the interest is compounded annually, how muc

miskamm [114]

Answer:

$4,499.46

Step-by-step explanation:

We can use the compound interest formula for this problem:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, lets change 4% into a decimal:

4% -> $\frac{4}{100}$ -> 0.04

Now lets plug the values into the equation as shown below:

$A=4,000(1+\frac{0.04}{1})^{1(3)}$

$A=4,499.46$

Don will have $4,499.46 at the end of the three years.

4 0

3 years ago

Please help!!!!

Solnce55 [7]

Answer:

c) ( $(6-\sqrt{12} )(6+\sqrt{12} ) = 24$

d) ( $(3+\sqrt{8} )(3-\sqrt{8} ) = 1$

Step-by-step explanation:

Step(i):-

Given that the binomial expression

( $(6-\sqrt{12} )(6+\sqrt{12} )$

Multiply

( 36 + 6√12 -6√12 -(√12)²)

= ( 36 -12)

= 24

c) ( $(6-\sqrt{12} )(6+\sqrt{12} ) = 24$

Step(ii):-

Given that the binomial expression

( $(3+\sqrt{8} )(3-\sqrt{8} )$

Multiply

= 9 - 3√8 + 3√8 -(√8)²

= 9 - 8

= 1

d) ( $(3+\sqrt{8} )(3-\sqrt{8} ) = 1$

8 0

3 years ago