A screwdriver is dropped from the top of an elevator shaft. Exactly 6.0 seconds later, the sound of the screwdriver hitting bottom is heard. How deep is the shaft? Hint: The distance that a dropped object falls in t seconds is represented by the formula s = 16t2. The speed of sound is 1100 ft/sec. The shaft is approximately (Round to the nearest tenth.) | feet deep.

Answer:

-[tex]10^{13}[/tex]

Step-by-step explanation:

Numbers with the same base multiplying with each other will have their expoenent add up.

In this case, both number has a base of -10, so we're allow to group them and add up their exponents.

[tex](-10)^8(-10)^5=(-10)^{8+5}=(-10)^{13}[/tex]

Answer:

She had 5 slices left over

Step-by-step explanation:

8 times 4 is 32 so then subtract 27 and you get 5

Answer:

Francisco will add 10 drops of food coloring to 5 cups of white frosting and get the orange frosting

Step-by-step explanation:

4 drops of food coloring to 2 cups of white frosting and get the orange frosting.

He has 5 cups of white frosting. He doesn't know how many drops of orange food coloring to add

Let x = drops of food coloring he will add

Drops of food coloring : cups of white frosting

4 : 2 = x : 5

4 / 2 = x / 5

Cross multiplication

4 * 5 = 2 * x

20 = 2x

Divide both sides by 2

x = 20 / 2

= 10

x = 10 drops of food coloring

Therefore, Francisco will add 10 drops of food coloring to 5 cups of white frosting and get the orange frosting

Answer: i can't see the question.

Step-by-step explanation:

Answer:

two "P" plus four "Q" equals twenty

Step-by-step explanation:

I changed the numbers to words

1)angle 2 and 3

2) angle 8

3)angle 6

Answer:

9.5

Step-by-step explanation:

Answer:

Slope: 1

Step-by-step explanation:

You can find the slope by doing change in y/change in x.

Change in y is 3

Change in x is 3

So 3/3 is 1, and the slope is 1

Answer:

Hi there

Your answer is

x^2 -x +18

Step-by-step explanation:

( x^2 + 9 ) - (x-9)

x^2 + 9 -x +9

x^2 -x +18

Answer:

n=0

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

a=9/100   b= 7/20

Step-by-step explanation:

For a all you do is take the 9 out of the 100 in 1.

For b, all you do is take the 35/100, and then simplify it, so in this case it is 7/10 if you divide both the numerator and denominator by 5.

So a = 9/100 and b = 7/20

Answer:

B. y=5/4 x-4

Step-by-step explanation:

Slope of line= [tex]\frac{y2-y1}{x2-x1}[/tex]

= [tex]\frac{1-(-4)}{4-0}[/tex]

=5/4

(3x+5)+(x+3)=180

4x+8=180

4x=172

x=43

3(43)+5

<PQR=134

<SQR=46

Answer:

[tex]\boxed {\angle PQR = 134\textdegree}[/tex]

Step-by-step explanation:

Both angles are Supplementary (Two angles that add up to 180°). So, write an expression using the following measurements of both [tex]\angle PQR[/tex] and [tex]\angle RQS[/tex] and 180:

[tex]\angle PQR = 3x + 5[/tex]

[tex]\angle RQS = x + 3[/tex]

[tex]3x + 5 + x + 3 = 180[/tex]

Solve:

[tex]3x + 5 + x + 3 = 180[/tex]

[tex]4x + 5 + 3 = 180[/tex]

[tex]4x + 8 = 180[/tex]

[tex]4x + 8 - 8 = 180 - 8[/tex]

[tex]4x = 172[/tex]

[tex]\frac{4x}{4} = \frac{172}{4}[/tex]

[tex]x = 43[/tex]

-After you have the value of [tex]x[/tex], use it to the expression of [tex]\angle {PQR}[/tex] to get the actual answer of [tex]\angle PQR[/tex]:

-The value of [tex]x[/tex]:

[tex]x = 43[/tex]

-Solve for the measurement of [tex]\angle PQR[/tex]:

[tex]3x + 5[/tex]

[tex]3(43) + 5[/tex]

[tex]129 + 5[/tex]

[tex]134[/tex]

-The measurement of [tex]\angle PQR:[/tex]

[tex]\boxed {\angle PQR = 134\textdegree}[/tex]

Answer:

REEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

i thnk that the answer is .9333 !!

The 4.5 times 10/9 equals 5. In other words, if you multiply 4.5 by 10/9, you get the value of 5.

To find the number that, when multiplied by 4.5, equals 5, we can set up an equation and solve for the unknown number.

Let's represent the unknown number as 'x':

4.5 * x = 5

To isolate 'x', we need to get rid of the coefficient 4.5. To do that, we'll divide both sides of the equation by 4.5:

x = 5 / 4.5

Now, perform the division:

x = 1.111...

The result is a repeating decimal, which means the number that satisfies the equation is 1.111... (with 1 repeating indefinitely).

To express the result more precisely, we can write it as a fraction:

x = 5 / 4.5 = 10 / 9

Therefore, 4.5 times 10/9 equals 5. In other words, if you multiply 4.5 by 10/9, you get the value of 5.

To know more about multiply:

https://brainly.com/question/30875464

#SPJ6

Answer:

identity property of multiplication (multiplying a number by one will result in that number)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = -18, y = 14

Step-by-step explanation:

4x + 6y = 12

x + 2y = 10

Divide both sides of the first equation by 2. Write the second equation below it.

2x + 3y = 6

x + 2y = 10

Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations eliminating x.

      2x + 3y = 6

(+)  -2x - 4y = -20

-------------------------

             -y = -14

y = 14

Substitute 14 for y in the second equation and solve for x.

x + 2y = 10

x + 2(14) = 10

x + 28 = 10

x = -18

Solution: x = -18, y = 14

Answer:

True

Step-by-step explanation:

To find the unit rate, what we do is to divide the preceding value in the ratio by the succeeding value in the ratio.

Thus, we have;

5 divided by 1/7

= 5 * 7/1

= 35

This is the unit rate of the given ratio

Answer:

110000=p(1+0.019)^168

23.62p=110000

p=4660

credit: sqdancefan

Answer:

84330

Step-by-step explanation:

The compound interest formula gives the value of an investment.

 A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.

 110,000 = P(1 +0.019/12)^(12·14)

 P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168

 P ≈ 110,000/1.30446

 P ≈ 84326.04 ≈ 84,330 . . . . dollars

Answer:

a

Step-by-step explanation:

is a linear function because It forms a straight line or represents the equation for the straight line

It has only one degree. Or we can also define it as an equation having the maximum degree 1.  

All these equations form a straight line in XY plane. These lines can be extended to any direction but in a straight form.

The general representation of linear equation is;

y = mx +c

Where x and y are the variables, m is the slope of the line and c is a constant value.

Answer:

B I TOOK THE TEST

Step-by-step explanation:

Answer:

The Answer is

Cos(52)

Step-by-step explanation:

in case the letters aren't the same

Answer:

a) T = 25n + 40

b) T = $415

Step-by-step explanation:

The total cost of 'n' kilograms of something can be expressed as 'n' multiplied by the cost, since it is a constant cost per unit. Therefore the price for n kg of potatoes can be expressed as 25n. We are also told that a dozen bananas cost $40, so our expression is the cost of potatoes added to the cost of bananas. So, is we use 'T' for total cost, our expression will look like this:

T = 25n + 40

Now we can use this expression to find the cost of 15kg of potatoes and the same amount of bananas. We can do this by simply substituting the given amount for n:

T = 25(15) + 40

T = 375 + 40

T = $415

The cost of 15kg of potatoes and one dozen bananas is $415.

Hope this helped!

Answer:

x ,x+2, x+4, x+6 it mst b it

Answer:

x = 33°

Step-by-step explanation:

All angles in a triangle add up to 180°.

Step 1: Set up equation

x + 114 + 33 = 180

Step 2: Solve for x

Answer:

-7 i hope this right

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = 44

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(\frac{4r}{4}-\frac{28}{4})4(

​4

​

​4r

​​ −

​4

​

​28

​​ )

3 Simplify each term in parentheses.

4(r-7)4(r−7)

Answer: 14

Step-by-step explanation:

Got it right in a test ‍