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ser-zykov [4K]
3 years ago
9

Please answer this 2 multiple choice questions correctly I needed today please show work

Mathematics
1 answer:
vredina [299]3 years ago
8 0

Answer:

21) 12x + 11

hoped that worked

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A​ hot-air balloon is 160 ftabove the ground when a motorcycle​ (traveling in a straight line on a horizontal​ road) passes dire
Charra [1.4K]

Answer:

73.77 ft/s

Step-by-step explanation:

Let's imagine this situation as a right triangle where the distance between the two points is the hypotenuse.

-Applying Pythagoras theorem:

z^2=x^2+y^2\\\\z=\sqrt{x^2+y^2}\\\\x=dx*t+x_i, x_i=0\\\\y=dy*t+y_i\\\\y_i=160\ ft

#Take the derivative of the first equation and solve for dz:

d(z^2=x^2+y^2)\\\\2z*dz=2x*dx+2y*dy\\\\dz=\frac{x*dx+y*dy}{z}\\\\dz=\frac{x*dx+y*dy}{\sqrt{x^2+y^2}}\\\\\\dz=\frac{dx^2*t+dy(dy*t+160)}{\sqrt{(dx*t)^2+(dy*t)}}

#We then substitute the values given in the question to solve for dz:

dz=\frac{7*66^2+14(14*7+160)}{\sqrt{(66*7)^2+7*14+160}}\\\\=73.78

Hence, the rate of change of the distance between the motorcycle and the balloon 7 seconds ​later is 73.77 ft/s

3 0
3 years ago
An educator wants to see how the number of absences for a student in her class affects the student’s final grade. The data obtai
Vinvika [58]

Answer:

Simple linear equation is :

Y = 86.784 - 2.67x

Step-by-step explanation:

The educator wants to see the relationship between no of absences and final grades of the student. No. of absence of student is independent variable while final grade is dependent variable. The final grades of the student are dependent on the no. of absence they do.

b = Sxy / Sxx

b =  { 2312 [ 37 * 422 ] / 6 } / 337 - 37^2 / 6 = -2.67

a = -2.67 * 37/6 = 86.784

5 0
3 years ago
65qt 32 gal which is more
larisa86 [58]

There are 4 quarts in one gallon.

Divide 65 quarts by 4 to see how many gallons this is equivalent to.

65/4 = 16.25

65 quarts = 16.25 gallons, so 32 gallons would be more than 65 quarts.

<u>32 gal > 65 quarts</u>

is your answer.

5 0
4 years ago
Graph the equation using the slope and y-intercept.<br> y = 1/2x - 3​
joja [24]

Answer:

Step-by-step explanation:

6 0
3 years ago
Find the area of a triangle with sides a=5, b=8 and c=11
Lynna [10]

Answer:

440

Step-by-step explanation:

5x8=40

40x11=440

Have a good day :P :P

5 0
3 years ago
Read 2 more answers
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