A motor powers a model car so that after starting
from rest, the car travels s inches in t seconds,
where s = 16t\t. Which of the following gives the
average speed of the car, in inches per second, over
the first t seconds after it starts?

Answer:

[tex]\frac{5}{2} ; -4[/tex]

Step-by-step explanation:

2x² + 3x - 20 = 0

a = 2 ; b = 3 ; c = -20

[ -b ± √(b² - 4ac) ] /2a = [-3±√(3²-4*2*-20]/2*2

                                 = [-3±√(9+160)]/4

                                = [-3±√169 ]/4

                                = [-3± 13]/4

                                = [tex]\frac{-3+13}{4} ;\frac{-3-13}{4}\\\\=\frac{10}{4} ; \frac{-16}{4}\\\\=\frac{5}{2} , -4[/tex]

2x² + 3x - 20 = 0

2x² + 8x - 5x - 20 = 0

2x(x+4) - 5(x+4) = 0

(x+4)(2x-5) = 0

x+4 = 0

x = -4

2x - 5 = 0

2x = 5

x = 5/2

Answer:

A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)

B) tan(45°) = x/35.6

C) x = 35.6 ft

Step-by-step explanation:

B) From definition:

tan(45°) = opposite/adjacent

opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:

tan(45°) = x/35.6

C) tan(45°) = 1

Then:

1 = x/35.6

35.6 ft = x

#1

As here base is given

We need the height or perpendicular

so tangent is the easiest way to be used

#2(No problem given,may refering to part C)

#3

as sin45=cos45

Put value

Answer:6z

Step-by-step explanation:

Question:

(4x - 5y + 3z) + (-4x +5y +3z)

First Step:

Remove parenthesis

4x - 5y + 3z + -4x +5y +3z

Second Step:

Add like terms

4x + -4x = 0

-5y + 5y = 0

3z + 3z = 6z

Final Answer

6z

<!> Brainliest is much Appreciated! <!>

Answer:

6z

Step-by-step explanation:

(4x - 5y + 3z) + (-4x +5y +3z)

Combine like terms

4x - 4x   -5y +5y  +3z+3z

0+0+6z

6z

Answer:

(1,18)

Step-by-step explanation:

use a graphing calculator to graph the function

then, graph all the coordinates given and find on that's on the graph

Answer:

-2b, b/12, -0.9b

Step-by-step explanation:

They all contain the same variable, B

Answer:

B, D, and E

Step-by-step explanation:

The only terms that can be combined are like terms. The 3 like terms in this expression are the b terms: -2b, b/12, and -0.9b. These 3 can be combined since they are like terms.

Hope this helps! Plz give me brainliest, it will help me achieve my next rank.

Answer:

22 hours

Step-by-step explanation:

Ken saves 90% of his earnings.

So, he must earn

270/x =90/100

90x=270*100

90x=27,000

x=27000/90

=300

x=$300 to save $270

For starting 10hours, Ken earns $8 per hour so he earns total

$8*10 hours=$80

Now, Ken has to earn remaining

$220 at a rate of $10/hour, he must work for at least

$220/$10

=22hours

Answer:

Step-by-step explanation:

To answer this question we should analyze both functions :

here we must solve both equations :

the first one is obvious x=0 the scond is more interesting :

x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .

So we notice thatf has one intercept.

we added 2 to f to get g but no real intercepts

Answer:

a = 6, b = 8, and c = 10.

Step-by-step explanation:

You can easily use the Pythagorean Theorem to solve all of these.

a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.

a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.

a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.

a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.

The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.

Hope this helps!

Answer: a= 5,b = 6,c = 8 and a=6,b = 8,c = 10

Step-by-step explanation: I found the correct answer on my test so hopefully this help you! :)

Answer:

x = 1 1/4

Step-by-step explanation:

sqrt( 7x+2) = sqrt(3x+7)

Square each side

(sqrt( 7x+2))^2 = (sqrt(3x+7))^2

7x+2 = 3x+7

Subtract 3x from each side

7x-3x +2 = 3x+7-3x

4x+2 = 7

Subtract 2 from each side

4x+2-2 = 7-2

4x = 5

Divide by 4

4x/4 = 5/4

x = 1 1/4

Check for extraneous solution

sqrt( 7*5/4+2) = sqrt(3*5/4+7)

sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)

sqrt( 43/4) = sqrt(43/4)

Solution is valid

Answer:

9) 1/2 (or 1:2, or 50%, or .50, depending on how your teacher wants it.

10) 2/3 (or 2:3, or 66.6%, or 0.66)

Step-by-step explanation:

9) Here are the possibilities of the cards you could pick

KQ, KJ, K10, QJ, Q10, J10

Since there are 6 possibilities and only 3 of them have one face card, the probability is 3/6, or 1/2.

10) It doesn’t matter which card you pick first.  The second card has a 1 in 3 chance of being the same card (whatever it is).  That means you have a 2 in 3 chance of it NOT being the same card.  So the probability is 2/3.

Answer:

IT IS A..

Step-by-step explanation:

100 % sure

Answer:

0.6 - 1/4

Convert the decimal to fraction

Thus

0.6 = 3/4

3/5 - 1/4

Find the LCM

the LCM is 20

We get

3/5 - 1/4 = (3(4) - 5)/ 20

= 12-5/20

= 7/20

2/5 + 0.75

0.75 = 3/4

Find the LCM

The LCM is 20

Thus

3/4 +2/5 = ( 3(5) + 2(4))/20

= 15 + 8 /20

= 23 / 20 or 1 3/20

1.75 - 1/6

Convert the decimal to fraction

1.75 = 7/4

Thus we get

7/4 - 1/6

Find the LCM

The LCM is 12

Thus

7/4 - 1/6 = ( 7(3) - 2)/12

= 21 - 2 / 12

= 19/ 12 or 1 7/12

3/10 + 2.125

Convert the decimal to fraction

2.125 = 17/8

Thus

3/10 + 17/8

Find the LCM

the LCM is 40

Thus

3/10 + 17/8 = ( 3(4) + 17(5))/40

= 12 + 85/40

= 97 /40 or 2 17/40

Hope this helps

Answer:

1.15

19/12

2.425

Step-by-step explanation:

2/5+0.75

2/5=4/10

4/10=0.4

0.75+0.4

1.15

1.75-1/6

1.75=7/4

7/4=14/8=21/12

21/12-2/12

19/12, or 1.5833...

3/10=0.3

0.3+2.125=2.425

Answer:

C. -n - 2

Step-by-step explanation:

Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):

3n - 4n - 2

-n - 2

Answer:

C. -n - 2

Step-by-step explanation:

3n + 2(-2n - 1)

Expand the brackets.

3n + - 4n - 2

Add like terms.

- 1n - 2

-n - 2

Answer:

50 in.

Step-by-step explanation:

Real building:

height 300 ft

width 200 ft

Model building:

height 6 in.

width 50 in.

300/6=50

Hope this helps! :) :)

The scale model of building is 4 inches wide.

The height of a building is 300 feet
its width is 200 feet
A scale model of the building is 6 inches high

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

let scale model of the building is "x" inches wide.
= 300/6 = 200/x
x = 4

Thus, The scale model of building is 4 inches wide.

Learn more about Ratio here:
brainly.com/question/13419413

#SPJ2

Answer:

A = about 2.2 seconds

B = between 0.2 and 1.7 seconds

Step-by-step explanation:

A .to calculate the time in the air, we have to replache h=0.

h = - 16t + 30t +10

0 = - 16t + 30t +10

For: ax2+ bx + c

x =[ -b ± √b²-4ac] /2a

a=-16 ; b=30 ; c=10

Replacing with the values given:

x =[ -30 ± √(30)²-4(-16)10] /2(-16)

x = [ -30 ± √900 +640] /-32

x = [ -30 ± √1,540] /-32

x = [-30 ± 39.24] /-32

Negative:

x = [-30 -39.24] /-32 = 2.16 seconds = about 2.2 seconds

B. .to calculate this, we have to replache h=15.

15 = - 16t + 30t +10

0 = - 16t + 30t +10-15

0=  - 16t + 30t -5

a=-16 ; b=30 ; c=-5

Applying the quadratic formula again:

x =[ -30 ± √(30)²-4(-16)-5] /2(-16)

x = [ -30 ± √900-320] /-32

x = [ -30 ± √580] /-32

x = [-30 ± 24.08] /-32

Positive:

x = [-30 +24.08] /-32 = 0.18 seconds =0.2 seconds

Negative:

x = [-30 -24.08] /-32 = 1.7seconds

Feel free to ask for more if needed or if you did not understand something.

Answer:

c is right

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello

a) Pop as this is the one with the most CDs

b) 30 as this is a full one 20 + half 10 = 30

c) POP  5*20= 100

Jazz 2*20=40

Classical 1.5*20=30

Rock 3*20=60

so the total is 100+40+30+60 = 230

hope this helps

Answer:

a) The Pop CD is the mode (as it has higest sold )

b) no. of rock CDs sold = 20 × 3 = 60

  no. of classical CDs sold = 20+ 10 = 30

∴The no of Rock CDS more than Classical CDs = 60 - 30 = 30

c)  Pop CDs = 20 × 5 = 100

   JazzCDs = 20 ×2 = 40

   Classical CDs = 20 + 10 = 30

   Rock CDs = 20 × 3 = 60

∴ Total no.of CDs sold =  100 + 40 + 30 + 60 = 230

Answer:

so the height of apple tree in meters is 3 meters

Step-by-step explanation:

by using ratio and proportion rule

1:2=148:x

[tex]\frac{1}{2}=\frac{148}{x}[/tex]

by cross multiplication

1×x=2×148

1x=296cm

converting into meter as we know that 1centi=10^-2

1x=296×10^-2

x=2.96m≈3meters

i hope this will help you :)

Answer:

f=4

Step-by-step explanation:

6f = 24

÷6    ÷6

f=4

Answer:

f = 4

Step-by-step explanation:

6f = 24

f = 24/6

f = 4

Answer:

5

Step-by-step explanation:

LM + MN = LN

4+5x = 9x

Subtract 5x from each side

4+5x-5x = 9x-5x

4 = 4x

Divide by 4

4/4 = 4x/4

1 =x

We want MN

5x =5*1 = 5

MN =5

Answer:

the length of MN is 5(1), or 5

Step-by-step explanation:

Segments add up to 9x here:  4 + 5x = 9x, so 4 = 4x and x must therefore be 1.

Then the length of MN is 5(1), or 5, and the length of LN is 9(1) = 9.

Answer:

a = 34

b = 34

c = 36

Step-by-step explanation:

a ; b ; c = consecutive numbers =>

b = a + 1

c = a + 2

a + 2b + c - 7 = 133

a + 2(a + 1) + (a + 2) - 7 = 133

a + 2a + 2 + a + 2 - 7 = 133

4a = 133 + 7 - 4

4a = 136

a = 34

b = 34

c = 36

Answer:

No.  She only estimated instead of hovering over the intersection to find the exact point.

Step-by-step explanation:

I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.

Answer:

No. She used the wrong slopes when graphing the equations.

hope this helps i did it in Edge and got it right

mark me brainliest pls

Answer:

1/2

Step-by-step explanation:

If the locker has 3 non zero digits, this means the digits will take values from 1 to 9. If the first digits is 3, the remaining digits can take any of the values in the set {1, 2, 4, 5, 6 7, 8, 9}

Total elements in the set = 8

Total odd numbers there = {1, 5, 7, 9} = 4 odd numbers

If the next digit is odd, probability that the next digit is odd will be Total odd numbers/Total elements in the set = 4/8 = 1/2

Answer:

A

Step-by-step explanation:

The quadrants are numbered from top right in a counter clockwise fashion. Since we know x is positive and y is negative, we can find that it is the fourth quadrant.

Answer:

There you go.

Step-by-step explanation:

Please do tell me if it's wrong.

Answer:

(-8, -2)

Step-by-step explanation:

Combine these equations:  You'll get 2y = -4, so that y = -2.

Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8

Thus the solution is (-8, -2)

Answer:

n^2(n + 3)

Step-by-step explanation:

n^3 + 3n^2 factors as follows:  n^2(n + 3).  Note that this is an expression, not an equation.

Answer:

B) f(x) =(x-8)(x-4)(x-2)(x+1)

Answer:

[tex] = 6911.5 {cm}^{3} \\ [/tex]

Step-by-step explanation:

[tex]v = \pi {r}^{2} h \\ = \pi \times {10}^{2} \times 22 \\ = 6911.5 {cm}^{3} [/tex]

hope this helps you.