An infinite series is represented by:

What is the slope of the line that passes through (-3,4) and (-3,-4)

suter [353]

Answer:

undefined

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

= ( -4-4)/( -3 - -3)

= ( -4-4)/( -3+3)

= -8/0

When we divide by zero, the answer is undefined so the slope is undefined

8 0

2 years ago

it costs $3.45 to buy 3/4 lb of chopped walnuts. how much would it cost to purchase 7.5 lbs of walnuts?

Vesna [10]

Answer:

$6.75 I THINK

Step-by-step explanation:

I struggled to figure this out and I'm pretty sure its $6.75 but im not sure :(

4 0

3 years ago

Read 2 more answers

A survey was done to determine the effect of students changing answers while taking a multiple-choice test on which there is on

Umnica [9.8K]

Answer:

6% of the changes were from incorrect to incorrect

Step-by-step explanation:

The sum of the percentages must be 100%.

We have these following percentages

65% of the changes were from incorrect answers to correct

29% were from correct to incorrect

P% were from incorrect to incorrect

So

$65 + 29 + P = 100$

$P = 100 - 94$

$P = 6$

6% of the changes were from incorrect to incorrect

7 0

3 years ago

A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

3 years ago

Please don’t only answer this explain how to figure it out so I have it for future reference

Deffense [45]

The polygon is built of 7 triangles (picture).

$P=7\cdot\dfrac{1}{2}ah\\
a=28.9 \text{ m}\\
h=30 \text{ m}\\\\
P=7\cdot\dfrac{1}{2}\cdot28.9\cdot30\\
P=3034.5 \text { m}^2 \Rightarrow C$

5 0

3 years ago