A tornado drops a piece of wood from a
height of 4,624 ft. If the equation for
height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the piece of
wood to hit the ground?

Answer:

1/2 ÷ 3/10

1/2×10/3

5/3

1 2/3

1) option is correct

9514 1404 393

Answer:

  1)  1 2/3

Step-by-step explanation:

The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.

  1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3

Answer:

131 in²

Step-by-step explanation:

Let x represent the length of the painting. Given that The width of a painting is 4 inches less than the length. Hence:

Width = x - 4

The area of painting = length * width = x(x - 4) = x² - 4x

The frame that surrounds the painting is 2 inches wide (at the top and bottom, left and right). Hence the total width of the frame = (x - 4) + 2 + 2 = x, the length of the frame = x + 2 + 2 = x + 4

The area of the frame = length * breath = x(x +  4) = x² + 4x

Given that the area of the frame = 240 in², hence:

x² + 4x = 240

x² + 4x - 240 = 0

x = -17.62 and x = 13.62

Since the length cannot be negative, hence length = x = 13.62 inches

Area of painting = x(x - 4) = 13.62(13.62 - 4) = 131 in²

Answer:

We get x=3 and y=21

The ordered pair will be: (3,21)

Step-by-step explanation:

We need to use the substitution method to solve the system of equations.

[tex]y = 10x-9\\y = x + 18[/tex]

For substitution method we substitute the value of x or y from one equation to other.

Let:

[tex]y = 10x-9--eq(1)\\y = x + 18--eq(2)[/tex]

Putting value of y from equation 2 into equation 1

[tex]y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3[/tex]

So, we get value of x=3

Now, for finding value of y, We substitute the value of x

Find value of x from equation 2

[tex]y=x+18\\x=y-18[/tex]

Now, putting value of x in equation 1

[tex]y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21[/tex]

So, we get value of y=21

So, We get x=3 and y=21

The ordered pair will be: (3,21)

Answer: yes, it is a smaller temperature, which means that is "colder"

Step-by-step explanation:

I guess that the question is:

Is -10°F colder than - 4°C?

Ok, when we have a temperature T in Celcius, the equation to transform this quantity to the Fahrenheit scale is:

T' = (T*9/5) + 32°

Replacing T by the temperature in celcius, we get:

T' = (-4°*9/5) + 32° = 24.8°F

This means that -4°C is equivalent to 24.8°F

And -10°F is a smaller value than 24.8°F (which mean that is colder)

This implies that -10°F is colder than -4°C

Then the statement is true.

Answer:

4 1/4x + 5 1/4

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

Question 1

Step-by-step explanation:

Answer:

A

Step-by-step explanation: because when you say its closer to 0 thats right

Answer:

A

Step-by-step explanation:

Hope this helps anybody <33

(Entered this on my test and it was correct !!)

Options:

A. –3(x + 3)

B. 3(x + 3)

C. 3(–x – 3)

D. –3(x – 3)

Answer:

A and C

Step-by-step explanation:

Given

[tex]-3x - 9[/tex]

Required

Factorize

The options are not given; So, I'll answer on a general term

[tex]-3x - 9[/tex]

Express -9 as -3 * 3

[tex]-3x - 9 = -3x - 3 * 3[/tex]

Then factorize 3 out of the expression as:

[tex]-3x - 9 = 3(-x - 3)[/tex]

Another way is to factor -3 out of the expression as:

[tex]-3x - 9 = -3x - 3 * 3[/tex]

[tex]-3x - 9 = -3(x + 3)[/tex]

Answer:

Step-by-step explanation:

1.  u^2 = x^(p+q)

v^2 = x^(p-q)

Show that logx u + logx v = p

From statement 1

p + q = logx u^2 = 2 logx u   (by the laws of logs)

Similarly:

p - q = logx v^2 = 2 logx v

So 2 logx U + 2 logx v  = p+q + (p - q)

2 (logx u + logx v)  =  2p

logx u + logx v = p.

Also 2(logx u - logx v)  =  p+q - (p - q) = 2q

and logx u - logx v = q.

2.  ∛(8a^3b^3) / √(1/25 * a^4b^7)* (16√(a^4b^6))^-1/2

= 2ab / 1/5a^2b^7/2 *  (16a^2b^3)^-1/2

= 2ab / 1/5a^2b^7/2 * 1 / 4ab^3/2

= 2ab / 4/5 a^3 b^5

=  5ab / 2 a^3 b^5

= 5/(2a^2b^4).

Answer:

Step-by-step explanation:

Answer:

3^2*3^4

3^12/3^4

(3^4)^2

The first, fourth, and fifth

Step-by-step explanation:

Follow rules of exponents

When multiply an exponent with same base just add the exponents

EX: 2^2 * 2^2= 2^4

When dividing with the same base, subtract

EX: 3^12/3^2=3^10

When raising the power of an exponent to another exponent, multiply.

EX: (3^2)^2=3^2

Answer:

The correct answer to your problem is

[tex]3^{2} * 3^{6} \\\\\frac{3^{12} }{3^{4}} \\\\(3^{4})^{2}[/tex]

Step-by-step explanation:

You can think of the exponets as it's own number's.

For example the first answer ([tex]3^{2} * 3^{6}[/tex]) 6 + 2 = 8 so your answer [tex]3^{8}[/tex].

The next one [tex]\frac{3^{12} }{3^{4} }[/tex] you would divide 12 by 4 and get 8 giving the answer [tex]3^{8}[/tex].

And finally the last one [tex](3^{4})^{2}[/tex]  if you mutiply the exponets 4 and 2 you would get 8 so you answer would be [tex]3^{8}[/tex].

Answer:

what a confusing question?

Step-by-step explanation:

im guessing 3 feet

Answer:

target speed for the marathon has been achieved and exceeded

Step-by-step explanation:

Given that :

Target speed = 25 mph

Current speed = 15 miles in 1/2 an hour

Current speed :

15 miles in 0.5 hours

X miles in 1 hour

0.5x = 15 miles

X = 15 / 0.5

X = 30 miles per hour

Hence, current speed in miles per hour = 30mph

This means that her target speed for the marathon has been achieved and exceeded

Answer:

-163840

Step-by-step explanation:

You're multiplying by -4 every time.

10, -40, 160, -640, 2560, -10240, 40960, -163840... so on and so forth.

Answer:

$1890

Step-by-step explanation:

x= couches

y=chair.

x=2y

2x=3y+270

2(2y) or 4y=3y+270

y=270

x=540

2(540)+3(270)=1890.

Hope this helps :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total spending is $1890

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

George bought 2 identical couches and 3 identical chairs.

A couch costs twice as much as a chair.

Let the cost of one couch = 2x

Let the cost of one chair = x

Now,

He spent $270 more on the couches than on the chairs.

This means that,

2(2x) = 270 + 3x

4x = 270 + 3x

Subtract x on both sides.

x = 270

The total spending.

= 4x + 3x

= 4 x 270 + 3 x 270

= 1080 + 810

= $1890

Thus,

The total spending is $1890

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

what's the equation???

Step-by-step explanation:

y = 4x+1

y–1 = 4x

x = (y–1)/4

Answer:

the amount of players should determine the amount of points scored within the game, so the more points scored the more players there should be.

Step-by-step explanation:

Answer:

Lewis's friend walked with him 9/25 miles

Step-by-step explanation:

Given that

Lewis walked 9/10 of a mile

And His friend accompanied him on 2/5 of the way.

This is a simple question of fraction multiplication

The fraction 2/5 has to multiplied with the miles walked by lewis

So

[tex]= \frac{2}{5} * \frac{9}{10}\\=\frac{9}{25}[/tex]

Hence,

Lewis's friend walked with him 9/25 miles

Answer:

D. y=2x-2

Step-by-step explanation:

The format for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept of the line.

The slope of this line is 2

The y-intercept of this line is -2

Therefore, the equation for this line should look like y=2x-2

If you found this helpful, let me know by marking my answer as brainliest! Feel free to reach out with any questions. Hope this helped!

Answer:

there is no picture??

Step-by-step explanation:

where is the pic

You have 2 books abt the desert and 8 abt the rain forest

and 4×2=8

so they're 4 groups

hope this is the right awnser since I'm not smart :)

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 - - 15

7 + 15

22

hope this helps <3

Answer:

C

[tex]slope \: = \frac{(2 - 4)}{3 - ( - 3)} \\ = \frac{ - 2}{6} \\ = - \frac{1}{3} [/tex]

Answer:

0 < x < 12

Step-by-step explanation:

According to the triangle inequality theorem, the sum of the two sides must be greater than the length of the third side. 6+6 = 12

0 < x < 12

Answer:

The inequality of these 2 numbers is 4

Step-by-step explanation:

You have to find the difference between these numbers and you'll get your inequality. Hope this helps!

Please mark me as brainliest :)

Answer:

m=10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7(2m−6)+21=−77

(−7)(2m)+(−7)(−6)+21=−77(Distribute)

−14m+42+21=−77

(−14m)+(42+21)=−77(Combine Like Terms)

−14m+63=−77

−14m+63=−77

Step 2: Subtract 63 from both sides.

−14m+63−63=−77−63

−14m=−140

Step 3: Divide both sides by -14.

-14m/-14=-140/-14

m=10

Answer:

m =10

Step-by-step explanation:

-14m+42+21=-77

-14m+63= -77

-14m= - 140

m=10

Answer:

[tex]\huge\boxed{V=64cm^3}[/tex]

Step-by-step explanation:

The formula of a surface area of a cube:

[tex]SA=6a^2[/tex]

The formula of a volume of a cube:

[tex]V=a^3[/tex]

We have

[tex]SA=96cm^2[/tex]

Calculate the edge length (a).

[tex]6a^2=96[/tex]           divide both sides by 6

[tex]a^2=16\to a=\sqrt{16}\\\\a=4(cm)[/tex]

Calculate the volume of a cube:

[tex]V=4^3=64(cm^3)[/tex]