Evaluate. Express your answer in scientific notation. 4.85 x 103 + 77, 300

Please Explain/Show Your Work, for each part of the question! Thank You!

mina [271]

Answer:

1. The graph represents a proportional relationship

2. 70,000 miles

Step-by-step explanation:

1. The graph represents a proportional relationship since the graph line is straight and begins at the origin.

2. Plot 5.5 hours on the graph and it'll give you 70,000 miles

3 0

2 years ago

The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is select

Mandarinka [93]

Answer:

5/9

Step-by-step explanation:

complement means not choosing an orange

P( not choosing orange) = (apple and fruit) / total

= (4+6) / (4+6+8)

=10/18

= 5/9

8 0

2 years ago

What is the annual compound interest rate for an investment account modeled by the function y=12⋅1.18t ?

NikAS [45]

Answer:

The interest rate for the given investment is 18%.

Step-by-step explanation:

We are given that,

The function representing the investment model is, $y=12(1.18)^t$ .

It is required to find the interest rate for the investment.

Since, the function can be re-written as,

$y=12(1.18)^t$

i.e. $y=12(1+0.18)^t$

So, on comparing with the formula for compound interest i.e. $A=P(1+r)^t$ , where 'r' is the interest rate.

We have that,

The interest rate for the given investment is 0.18 i.e. 18%.

7 0

2 years ago

Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the

Rama09 [41]

Question:

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s 2s 3s 4s

Answer:

It takes 2 seconds for object to hit the ground

Solution:

The given equation is:

$h(t) = -16t^2 + v_0t+h_0$

Initial velocity = 27 feet/sec

$h_0 = 10\ feet$

Therefore,

$h(t) = -16t^2 +27t+10$

At the point the object hits the ground, h(t) = 0

$-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0$

Solve by quadratic formula,

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125$

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0

2 years ago

Solve xy − 2 = k for x.

MA_775_DIABLO [31]

Isolate x
So xy - 2 = k
Then
xy = k + 2

x = (k+2)/y

6 0

2 years ago