A construction crew can dig a pit at a rate of 1914 meters per hour. How deep can they dig in 6 hours?

Answer:

Angle k measures 60 degrees!!!

Answer:

f(x) = 1/2x + 6

Step-by-step explanation:

So before we even look at the first given formula, let's use the second formula: f(x) = -5.

Plug this formula into the x:

0 <= -5 <= 7

Is this true? Is -5 greater than or equal to 0 and less than or equal to 7?

No, this is false.

So the formula, f(x) = -5, is not the graph of f.

That only leaves one possible option!

Answer:

8.94 m

Step-by-step explanation:

Use the Pythagorean Theorum - [tex]a^2 + b^2 = c^2[/tex]. Use leg 1 as a, leg 2 as b, and the third side as c.

We know leg 1 is 4, and that leg 2 is twice as long as leg 1...

[tex](4)^2 + (4*2)^2 = c^2[/tex]

Now, we use the Order of Operations to find [tex]c^2[/tex]...

[tex]4^2+8^2=c^2\\16+64=c^2\\80=c^2[/tex]

Now, we find the square root of [tex]c^2[/tex] to find c...

[tex]\sqrt{80} =8.94[/tex]

So, the length of the third side is 8.94 m.

Answer:

Whether her conversion is correct or not, you can just base it on the true answer. For this problem, we apply the technique of dimensional analysis. You can like units if they both appear on the numerator and the denominator side. The solution is as follows:

Mass in ounces = 3 kg * (1,000 g/ 1 kg) * (1 ounce/28.35 g) = 105.82 ounces

Answer:

45 miles is how far you walked in 9 hours

Step-by-step explanation:

5 miles per hour x 9 hours = 45 miles

9514 1404 393

Answer:

  -19.2

Step-by-step explanation:

Fill in the given values and do the arithmetic.

  [tex]\displaystyle x\ \blacksquare\ y=\frac{x}{y}-xy\\\\4\ \blacksquare\ 5=\frac{4}{5}-4\cdot5=0.8-20\\\\\boxed{4\ \blacksquare\ 5=-19.2}[/tex]

Answer:

y = [tex]\sqrt{16}[/tex] x

that is equal to  y = 4x

[tex]\sqrt{16}[/tex] = 4

when graphing (x,y) the x is the horizontal value of the point (east west)

and the y in the vertical (north south) ....

if you have y = x it would be a 45 degree line that goes from the lower left to the upper right....

if you compare the red line  the point  1,1  (y=x) versus 1,4 (y=4x) in the blue line you will see that it is "stretched" upward

Step-by-step explanation:

Answer:

The graph that have 2 lines is for Question 21 and the graph with three lines is for Question 22

Step-by-step explanation:

Answer:

17424

Step-by-step explanation:

(6.6 x 10(-2) ( 3.3 x 10(-4))

(6.6 x - 20) ( 3.3 x -40)

(-132) (-132)

=17424

2x + y = -4

slope = -2

perpendicular slope = 1/2

new equation = x - 2y = x

(1) (2)= 2

(-2) (-8)=16

2+16 =18

new equation = x - 2y = 18

The rabbit will jump on the train after the train moves 0.4km

The given parameters are:

[tex]d = 100m[/tex] -- distance between the puppy and the train

[tex]s_1 = 8km/hr[/tex] -- the speed of the train

[tex]s_2 = 10km/hr[/tex] --- the puppy's speed

Required

The distance where the puppy catch up with the train

First, we calculate the relative speed (rs) of the puppy to the train

[tex]rs =s_2 - s_1[/tex]

[tex]rs =10km/hr - 8km/hr[/tex]

[tex]rs =2km/hr[/tex]

Calculate the time to catch up with the train using:

[tex]Time = \frac{Distance}{Speed}[/tex]

[tex]t = \frac{100m}{2km/hr}[/tex]

Convert km to m

[tex]t = \frac{100m}{2*1000m/hr}[/tex]

[tex]t = \frac{100m}{2000m/hr}[/tex]

[tex]t = 0.05hr[/tex]

Calculate the distance to catch up with the train using:

[tex]Distance = Speed * Time[/tex]

[tex]d= s_2* t[/tex] --- speed of the train multiplied by the time

So, we have:

[tex]d = 8km/hr * 0.05hr[/tex]

[tex]d = 8km * 0.05[/tex]

[tex]d = 0.4km[/tex]

Read more at:

https://brainly.com/question/14667411

Answer: u = [tex]\frac{7}{8}[/tex] or 0.875

Step-by-step explanation:

Let us convert this statement to a question

[tex]4^{2}[/tex]-8u-9 = 0

16-8u-9 = 0

-8u = 0+9-16

-8u = -7

u = -7 ÷ -8

u = [tex]\frac{7}{8}[/tex] or 0.875

Answer: £21007.22

Step-by-step explanation:

First, find the interest amount using the formula SI = (P × R × T) / 100.

SI = (P × R × T) / 100 = (18790 × 5.9 × 2)/100 = 221722/100 = £2217.22

The total amount = principle amount + interest amount

= £18790 + £2217.22 = £21007.22

Answer:

10 the next day

Step-by-step explanation:

Using the least common multiple

3, 6, 8

The least common multiple is 24

24 hours from 10 the next day

Answer:

0

Step-by-step explanation:

LN is an horizontal segment. it means that the line is parallel to x axis so its slope is 0

Answer:

56

Step-by-step explanation:

Zoe : hanna

3         7

Zoe got 24

3*8 = 24

so multiply each side by 8

Zoe : hanna

3*8         7*8

24           56

Hanna got 56

Answer:

Take the gross amount of any sum (items you sell or buy) – that is, the total including any VAT – and divide it by 117.5, if the VAT rate is 17.5 per cent. (If the rate is different, add 100 to the VAT percentage rate and divide by that number.)

Answer:

divide by 117.5 if the rate different, add 100 to the percentage and divide by the number therefore multiply by 100 to get the total

Step-by-step explanation:

the formula to calculate vat percentage

Answer: $600

Step-by-step explanation:

Given

Anual makes [tex]\$12.50[/tex] an hour

For 48 hours, he makes

[tex]\Rightarrow 48\times 12.5\\\Rightarrow \$600[/tex]

Thus, he will make $600 for 48 hours

Answer:

Step-by-step explanation:

If AB and DE are equidistant from the center, that means that they are the same length. We set the equations equal to one another and solve for x:

3x - 7 = 5(x - 5) and

3x - 7 = 5x - 25 and

18 = 2x so

x = 9. Now we sub that into the expression for AB (or DE since they're the same length):

3(9) - 7 = 20

Both AB and DE measure 20 units.

Answer:

Ishaan is currently 15 years old.

Step-by-step explanation:

Let B represent Ben's current age and I represent Ishann's current age.

Ben is four times as old as Ishaan. In other words:

[tex]B=4I[/tex]

Six years ago, Ben was six times as old as Ishaan. In other words:

[tex]B-6=6(I-6)[/tex]

Solve for I. Substitute:

[tex](4I)-6=6(I-6)[/tex]

Distribute:

[tex]4I-6=6I-36[/tex]

Subtract 4I from both sides and add 36 to both sides:

[tex]2I=30[/tex]

And divide both sides by two. Hence:

[tex]I=15[/tex]

Ishaan is currently 15 years old.

Answer:

Age of Ishaan = 15 years

Step-by-step explanation:

Let Ishaan's age = x years

Age of Ben = 4 * x = 4x years

6Years ago:

Age of Ishaan = x - 6

Age of Ben = 4x - 6

6 years ago, Ben was 6 times as old as Ishaan

So, Age of Ben = 6 * Ishaan's age

     4x - 6 = 6 *(x-6)

4x - 6 = 6x - 36

Add 36 to both sides

4x - 6 + 36  = 6x  

4x + 30 = 6x

Subtract '4x' from both sides

30 = 6x - 4x  

30 = 2x

2x = 30

Divide both by 2 sides

x = 30/2

x = 15

Answer:

angle bisector

Step-by-step explanation:

Since the line divided the top angle into two equal pieces we call this an angle bisector.

Answer:

I Will explained you youuuuuu<uuuuuuuuuu

A graph of the image of ABC under a dilation whose center is P and scale factor is 1/3 is shown in the image below.

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric shape, but not its shape. This ultimately implies that, the size of the geometric shape would be increased (enlarged) or decreased (reduced) based on the scale factor applied.

In this exercise, we would use an online graphing calculator to plot the image of ABC after a dilation by a scale factor of 1/3 centered at P.

Based on the image (see attachment), we can logically deduce that each vertex is 1/3 times as far from center P as the original vertex and each segment is 1/3 times as long as the original:

AC = 6.7/3 = 2.2

AB = 12.4/3 = 4.1

CB = 12.7/3 = 4.2

Read more on dilation here: brainly.com/question/20482938

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Step-by-step explanation:

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

Answer:

22) 119

24) 15

Step-by-step explanation:

22) 61 + b = 180              <-- supplementary because on the same line

      b = 119                     <-- subtracted 61 from both sides

24) 87 + (6x + 3) = 180        <-- supplementary because on the same line

     87 + 6x + 3 = 180          <-- take out parantheses

     90 + 6x = 180               <-- add like terms

     6x = 90                         <-- subtracted 90 from both sides

     x = 15                            <-- solve for x by dividing 6 from both sides

Answer:

Sum = .5 Product = -3

Step-by-step explanation: