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4 years ago

6

If the cube shown is 7 centimeters on all sides, what is the length of the diagonal, x, of the cube? (rounded to the nearest ten

th)

1 answer:

PIT_PIT [208]4 years ago

3 0

Answer:A)12.1

Step-by-step explanation:

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A culture started with 6,000 bacteria. After 5 hours, it grew to 7,800 bacteria. Predict how many bacteria will be present after

AleksandrR [38]

Answer:

After 5 hours, the amount of bacteria increased: 7800-6000=1800

After 1 hours, the amount of bacteria increased: 1800/5=360

After 18 hours, the amount of bacteria increased: 360*18 = 6480

=> Total amount of bacteria after 13 hours: 6000+6480 =12480

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3 years ago

Which is the equation of the line with slope 3 that contains point (-1, 5)?

sattari [20]

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=3[x-(-1)] \\\\\\ y-5=3(x+1)\implies y-5=3x+3\implies y=3x+8$

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3 years ago

Patrick drives his car at 120 km/h for 5 hours . how far did he go ?

Novay_Z [31]

Answer:

^speed, distance, and time^

my answer lies in paper

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8 0

3 years ago

Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is $4.6\ miles$

Part B) The length of a straight line between the school and the hospital is $2.1\ miles$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

so

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

so

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and C(4.3,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(4.3)^{2}}$

$d=4.6\ miles$

Part B) we have that

The hospital is 3.1 miles west of the fire station

so

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and D(1.2,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(1.2)^{2}}$

$d=2.1\ miles$

7 0

3 years ago

Andrew pays $15 for a haircut . He leaves a 20% tip. What is the total amount andrew pays for the haircut, including the tip?

beks73 [17]

Answer:

$18.00

Step-by-step explanation:

Start by working out 10%, that's easy:

15 ÷ 10 = 1.5

That means a 10% tip would be $1.50, so a 20% tip would be twice that amount:

1.50 x 2 = 3

A 20% tip is $3.00, and added on to the original $15.00, the total is $18.00

7 0

3 years ago