The average age in a sample of 90 students at City College is 20. As a result of this sample, it can be concluded that the average age of all the students at City College:

Answer:3

Step-by-step explanation:

(-3/4)/(-2/8)=(-3/4)(-8/2)=(-3/4)(-4)=3

Answer:

-0.725x (3.25) x (-4.4)

Since there are 2 negative numbers in the equation, the outcome will be positive.

When the number of negative numbers are even, the outcome will be positive.

When the number of negative numbers are odd, the outcome will be negative.

Answer:

$31.5 i used a caculator

Step-by-step explanation:

Answer:

y³

Step-by-step explanation:

the answer should be three as 27÷3 is 9 the end product..

mark me brainliest

Answer:

25

Step-by-step explanation:

Answer:

8x² +36x -27=0

Step-by-step explanation:

2x²= 6x +3

Let's rewrite the equation into the form of ax²+bx+c= 0.

2x² -6x -3=0

Thus, a= 2

b= -6

c= -3

Sum of roots= \( - \frac{b}{a} \)

Since your roots are p and q, sum of roots= p +q

p +q= \( - (\frac{ - 6}{2} )\)

p +q= 6 ÷2

p +q= 3

Product of roots= \( \frac{c}{a} \)

pq= \( - \frac{3}{2} \)

Quadratic equations:

x² -(sum of roots)x +(product of roots)= 0

Thus, we have to find the sum and the product of the new roots, p²q and pq².

p +q= 3

pq= -3/2

Product of new roots

= (p²q)(pq²)

= p³q³

= (pq)³

\( = ( - \frac{3}{2} )^{3} \\ = - \frac{27}{8} \)

sum of new roots

= p²q +pq²

= pq(p +q)

= (-3/2)(3)

= -9/2

Thus, the quadratic equation with roots p²q and pq² is

x² -(-9/2)x -27/8 = 0

\(x ^{2} + \frac{9}{2} x - \frac{27}{8} = 0\)

Multiply by 8 throughout:

\(8 {x}^{2} + 36x - 27 = 0\)

Right angle theorem is described below.

The right angle theorem is a statement about the angles in a right triangle, which is a triangle that has one 90-degree angle (also called a right angle). The right angle theorem states that the other two angles in a right triangle are complementary, meaning that the sum of the measures of these two angles is 90 degrees.

For example, in a right triangle with one right angle, the measure of the other two angles will always add up to 90 degrees. If one of the angles measures 45 degrees, then the other angle must measure 45 degrees as well, since 45 + 45 = 90.

The right angle theorem is often used to solve problems involving right triangles, such as finding the measures of the angles in a right triangle or finding the length of the sides of a right triangle given the measures of its angles. It is a fundamental property of right triangles and is an important concept in geometry.

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Answer:

100%

Step-by-step explanation:

25/25=100%

Answer:

0.00111111 hrs

Step-by-step explanation:

Have a nice day

Answer:

4/3600 = .001111 hr

Step-by-step explanation:

4 seconds * 1 hour            *    1 minute            =    4/3600 = .001111 hr

                    60 minutes          60 seconds

Answer:

The second one; x²+7x+12

Step-by-step explanation:

So, since the beginning lengths of the square is x and x, the area of the square is x².

But then, you add 3 to one length, so that side is now (x+3), and then you add 4 to the width, so that is now (x+4).

Finally, you would multiply them together to get the equation you would use to find the new area.

For this, you would cross-multiply everything together; the x in the length by the x in the width, the x in the length by the 4 in the width, the 3 in the length by the x in the width, and then the 3 in the length by the 4 in the width. Now, all you have to do is add all of these together to get your answer.

Here's the work:

\((x+3)(x+4)\\x^{2}+3x+4x+12\\x^{2}+7x+12\)

Answer:

Step-by-step explanation:

Answer:

y-2 = 7(x-1)

Answer:

after 6 weeks

Step-by-step explanation:

Sid and Tim starts saving each week.

Sid starts his savings with initial amount of £13.00

Tim starts his saving with initial amount of £00.00

Each week from now Sid will save = £3.50

Tim will save each week = £3.00

Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)

and the amount of Tim's saving after x weeks = £ (3x)

The ratio of their savings in x weeks would be = 17 : 9

Now the expression we get,

(13 + 3.50x) : (3x) = 17 : 9

\(\frac{13+3.50x}{3x}=\frac{17}{9}\)

9(13 + 3.50x) = 17(3x)

117 + 31.5x = 51x

117 = 51x - 31.5x

117 = 19.5x

\(x=\frac{117}{19.5}\)

x = 6

After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.

Answer:

$36,575 is the new tuition

To find the direction cosines and direction angles of the vector (7, 2, -3), we need to first calculate the magnitude of the vector. The direction cosines of the vector (7, 2, -3) are (7/√(62), 2/√(62), -3/√(62)) and the direction angles, correct to the nearest degree, are α ≈ 26°, β ≈ 15°, and γ ≈ 109°.

Next, we need to find the direction cosines of the vector. Direction cosines are the cosines of the angles between the vector and the x, y, and z axes. The direction cosines are given by the components of the vector divided by its magnitude.

The direction cosine of the x-axis is given by 7/√(62), the direction cosine of the y-axis is 2/√(62), and the direction cosine of the z-axis is -3/√(62). The magnitude of the vector is given by the square root of the sum of squares of its components. In this case, the magnitude is √(7² + 2² + (-3)²) = √(62).

Thus, cos(α) = 7/√(62), cos(β) = 2/√(62), and cos(γ) = -3/√(62). To find the direction angles, we need to take the inverse cosine of each direction cosine. This will give us the angle between the vector and each axis.

\(α = cos⁻¹(7/√(62)) ≈ 26°, β = cos⁻¹(2/√(62)) ≈ 15°,\) and\(γ = cos⁻¹(-3/√(62)) ≈ 109°.\) Therefore, the direction cosines of the vector (7, 2, -3) are (7/√(62), 2/√(62), -3/√(62)) and the direction angles, correct to the nearest degree, are α ≈ 26°, β ≈ 15°, and γ ≈ 109°.

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Answer:

39 minutes

Step-by-step explanation:

I used a calculator

Answer:

39 minutes

Step-by-step explanation:

a = 0.05m + 3.15 where a=the total charged, m=the amount of minutes

5.10 = 0.05m + 3.15

1.95 = 0.05m

1.95/0.05 = m

m = 39 minutes

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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Answer: 18°

Step-by-step explanation:

     The question doesn’t state where F is in relation to A, B or E, so we have to guess. Here are two guesses.

If ABF is a straight line then ∠ABE+∠EBF=180, so 2n+7+4n-13=180, 6n-6=180.

Divide each side by 6: n-1=30 so n=31 and m∠ABE=2n+7=2×31+7=62+7=69°.

If BF bisects ∠ABE, then ∠ABE=2×∠EBF, so 2n+7=2(4n-13)=8n-26. So 6n=33 and, dividing both sides by 3: 2n=11. Therefore m∠ABE=2n+7=11+7=18°.

Answer:

Two Solutions

Step-by-step explanation:

It's proportional and it would atleast have two solutions

Answer:

5

Step-by-step explanation:

Idc

Answer:

150

Step-by-step explanation:

Answer:

21.33 units (rounded)

Step-by-step explanation:

The height, x, can be determined through the Pythagorean Theorem:

a^2+b^2=c^2 (where b will be our height)

(22/2)^2+b^2=24^2

121+b^2=576

b^2=455

b=21.33072901

So the height is about 21.33 units

Answer:

D to the nearest foot

Step-by-step explanation:

Ratio problem:

outside wall 477      is to the whole area         466,170   as

inside wall   ???       is to the inner courtyard  446,400    

          477 / ???   = 466170 / 446400           solve for ???

          (477)(446400) / 466170  = ???

                                   456.77 ft  = ???

Answer:24-25a

Step-by-step explanation:

Answer:

The answer is 156 Hope it helps!

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

The measure of an arc equals the measure of the central angle that intercepts it.

The measure of an arc intercepted by a diameter is 180 deg.

m(arc)EH = 180

m(arc)EF + m(arc)FG + m(arc)GH = m(arc)EH

10x + 8 + 67 + 11x = 180

21x + 75 = 180

21x = 105

x = 5

Answer:

Step-by-step explanation:

from the graph above the non linear paths are the curves on the Cartesian plain

on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9

Answer:

4 mph

Step-by-step explanation:

Answer:

Dbfhsvtjrtehdhhdks6eebthjffj

Answer/Step-by-step explanation:

Surface area of cylinder = 2πrh + 2πr²

Surface area of the cylinder with,

height (h) = 4 ft

radius (r) = 5 ft

Surface area = 2*3.14*5*4 + 2*3.14*5²

= 125.6 + 157

= 282.6 ft²

Surface area of the cylinder with,

height (h) = 12 yd

radius (r) = 3 yd

Surface area = 2*3.14*3*12 + 2*3.14*3²

= 282.74 yd²

Answer:

George gets 13 runs in the fifth game

Step-by-step explanation:

He gets x in the fifth game so, ( 23 · 4 + x ) + 5 = 21

So 92 + x = 105
    -92         -92

       x = 13