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3 years ago

(06.01)

Mathematics

1 answer:

Dahasolnce [82]3 years ago

3 0

Answer:

Set A

Step-by-step explanation:

A negative linear association will always have a negative slope , a negative association can also be be detected from the data given, as the y value will decrease as the x values increases or vice versa.

The plot of the set A is attached Below with a correlation of - 1, meaning a strong negative relationship exists between the x and y variables.

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Can you guys please help me! 30 points

kvasek [131]

Answer:

Step-by-step explanation:

The quotient is the value obtained by dividing 30 by 5 , that is

quotient = 30 ÷ 5 = 6 → B

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2 years ago

Read 2 more answers

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

iris [78.8K]

Answer:

t = 15.42 s

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

$y=-16x^2+242x+73$

We ned to find the time when the rocket will the ground. For this, y = 0

$-16x^2+242x+73=0$

It is a quadratic equation whose solution is given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here, a = -16, b = 242 and c = 73

$x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s$

Neglecting negative value.

So, it will hit the ground in 15.42 s.

5 0

2 years ago

h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does h hh have a negative

Semenov [28]

Answer:

(C)−3 ≤ x ≤ 1

Step-by-step explanation:

The average rate of change of function h over the interval $a \leq x\leq b$ , is given by this expression:

$\dfrac{h(b)-h(a)}{b-a}$

Given the function $h(x)=x^2-1$ on the interval:− 3 ≤ x ≤ 1

$h(1)=1^2-1=0\\h(-3)=(-3)^2-1=9-1=8$

The average rate of change:

$\dfrac{h(b)-h(a)}{b-a}=\dfrac{0-8}{1-(-3)}=\dfrac{-8}{4}=-2$

Therefore, the function has a negative average rate of change over the interval − 3 ≤ x ≤ 1.

CHECK:

(A)Average rate of change of h(x) over the interval − 3 ≤ x ≤ 5=2

(B)Average rate of change of h(x) over the interval 1 ≤ x ≤ 4=5

(D)Average rate of change of h(x) over the interval − 1 ≤ x ≤ 5=4

5 0

3 years ago

5000 12% compounded quarterly compound interest table find earned after 5 years

kolezko [41]

<h3>Amount earned after 5 years is $ 9030.5561</h3>

Solution:

The formula for compound interest, including principal sum, is:

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

A = the future value of the investment including interest

P = the principal investment amount

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 5000

t = 5 years

$r = 12 \% = \frac{12}{100} = 0.12$

n = 4 ( since interest is compounded quarterly )

Substituting the values we get,

$A = 5000(1+\frac{0.12}{4})^{4 \times 5}\\\\A = 5000(1+0.03)^{20}\\\\A = 5000 \times 1.03^{20}\\\\A = 5000 \times 1.806111\\\\A = 9030.5561$

Thus amount earned after 5 years is $ 9030.5561

7 0

2 years ago

American cars use about 600 000 000 gallons of oil per year. How many liters of oil do American cars use per year? Report your a

fiasKO [112]

1 Liter = 1.05 quart. 1/1.05 Liter = 1.05/1.05 quart = 1 quart. Replacing this value of quart in the equation below. 1 gallon = 4 quarts 1 gallon = 4 * 1/1.05 Liters 1 gallon = 3.80952380952 Total oil consumption per year in gallons is 600,000,00 So, total oil consumption per year in liters is obtained by: 600,000,000 * 3.80952380952 = 2285714285.71 liters Converting to scientific notation, we have 2.28571 * 10^9 liters.

4 0

3 years ago