A plane flew 390 nautical miles in 45 min. Find its average speed in knots ( nautical miles per hour)

Answer:

40 mph

Step-by-step explanation:

160÷4 = 40 miles per hour

Answer:

40miles per hour

Step-by-step explanation:

distance traveled/time spent=speed(velocity)

160/4=speed (velocity)

40mph

Answer:

[tex]$\frac{1}{6}$[/tex]

Step-by-step explanation:

Expressing the irrational numbers into its simplified form :

Given :

The product of  [tex]$\frac{2}{3}$[/tex]  and  [tex]$\frac{3}{12}$[/tex]

Therefore,  

[tex]$=\frac{2}{3} \times \frac{3}{12}$[/tex]

[tex]$=\frac{2}{12}$[/tex]

[tex]$=\frac{1}{6}$[/tex]

So the simplified form is [tex]$\frac{1}{6}$[/tex]

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

Step-by-step explanation:

The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Given the quadratic equation in the question:

5x² - 7x - 18 = 0

Compared to the standard form ax² + bx + c = 0:

a = 5, b = -7 and c = -18

To find the solutions to the quadratic equation, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]

Plug in the values and simplify:

[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]

Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Learn more about quadratic equations here: brainly.com/question/1863222

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Answer:

4.5 feet

Step-by-step explanation:

One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:

Answer:x=92

y=−255

Step-by-step explanation:

Answer:

As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Step-by-step explanation:

As the standard deviation for the past due amounts is 63

The sample size n= 67

1) Formulate the null and alternate hypothesis

H0: u ≤ 23 against the claim Ha: u > 23

2)  The test statistics is

Z= x- u / σ/ √n

z= 20- 23/ 63/ √67

z= 0.00581

z= 0.006

3) The significance level ∝= 0.1

4) The critical value for ∝= 0.1 is Z > ±2.33

5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Answer: 65

Step-by-step explanation: well 115 is 115 on the opposite direction therfore 65 would be 65 on the opposite side also please give brainlest i am only one away from leveling up

Answer:

$0.70 per ear of corn

Step-by-step explanation:

Let c = Ear of corn

Let b = pound of bananas

First shopper:

7c + 6b = $5.15

Second Shopper:

4c + 1b = $1.85

Solve one equation for b since you are solving for c:

4c + 1b = $1.85

b = $1.85 - 4c

Substitute into other equation:

7c + 6b = $5.15    <---  b = $1.85 - 4c

7c + 6 ($1.85 - 4c) = $5.15

7c + $11.1 - 24c = $5.15

-17c + $11.1 - $11.1 = $5.15 - $11.1

-17c /-17 = -$11.85 /-17

c = $0.70 per ear of corn

Leave a like and mark brainliest if this helped

Answer:

solution:

5(4+2x)=-(x-5)-7

20+10x=-x+5-7

10x+x=-2-20

x=-22/11=-2

x=-2

so.D.-2 is your answer.

Answer:

a brand x = 13 (median ) brand y = 16 median

Answer:

A) Median value is depicted on a box plot by the vertical line that divides the rectangular box. Therefore: Median value for Brand X = 13 and Median value for Brand Y = 16. B) Brand Y has a higher median value (16) than Brand X (13). This implies that brand Y has a battery life that last longer than brand X.

Answer:

1, p = -0.5

Step-by-step explanation:

2(p+5) = 4 - 10p

2p+10 = 4 - 10p

2p + 10p = 4 - 10

12p = -6

p = -6/12

p = -0.5

2(-0.5+5) = 4 - 10(-0.5)

-1 + 10 = 4 + 5

9 = 9

Answer:

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

                           [tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]

          and

                         [tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]

[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

                    [tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]

                  [tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]

                 [tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]

               [tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]

              ∝ = cos⁻¹(0.4392) = 63.947

Final answer:-

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°

Answer:

7/30

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Symmetry means to have the same structure on both sides. So, imagine a mirror reflecting, lets say half a piece of bread the structure will be the same on both sides.

pls give brainlist if helpful

Step-by-step explanation:

L+W+L+W=26 so 2L=26–2W and you can find length from the perimeter as L=13−W

LW=42 so L=42/W is the other way to find the length, from the area. Both ways require you to know W, but if you have both pieces of information the two answers for length must be the same 42/W=13−W, and you solve this:

42=13W−W2

W2–13W+42=0

(W−6)(W−7)=0

Either W−6=0 or  W−7=0

Answer:

0.81 hour

Step-by-step explanation:

Given data

Distance=  544.32 miles

Speed=  672 miles per hour.

We know that

Speed= distance/time

Substitute

672=  544.32/time

cross multiply

time*672= 544.32

time= 544.32/672

time= 0.81 hour

Using proportions, it is found that the percentage of the people surveyed own a bird is given by:

C. 6%.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. When the proportion is multiplied by 100%, a percentage is found.

The proportion of people who own a bird is:

p = 0.04 + 0.02 = 0.06.

Hence the percentage is of 6%, which means that option C is correct.

More can be learned about proportions at https://brainly.com/question/24372153

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Answer:

7 degrees

Step-by-step explanation:

90-83=7

Answer:

7 degrees

Step-by-step explanation:

complementary angles are equal to 90

Answer:

7      -10     -30     -53

Step-by-step explanation:

47-2 = 45

45-5 = 40    (2+3=5)

40-8 = 32   (5+3=8)

32-11 = 21(8+3=11).........

21-14 = 7

7-17 = -10

-10 -20 = -30

-30-23 = -53

Answer:

Volume = 12

Step-by-step explanation:

Answer:

12cm³

Step-by-step explanation:

L=3cm

W=2cm

H=2cm

Volume=L*W*H

Volume =3*2*2

=12 cm³

A. Angle E = 113°

B. x = 16°

Number A

92 + 70 + 85 + ? = 360

162 + 85 + ? = 360

247 + ? = 360

? = 360 - 247

? = 113°

Number B

108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360

(180 + 84 + 30 + 18) + (x + 2x) = 360

312 + 3x = 360

3x = 360 - 312

3x = 48

x = 48/3

x = 16°

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Answer:

17

Step-by-step explanation:

11 - 2(-3) = 11 + 6 = 17

should put -3 where x is

Answer:

Don't understand 12am like how

Answer: <

6.12 x 10^4 < 612,000

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

because 6.12 × 10^4 = 61,200 and 612,000 is obviously a way bigger number, so greater than symbol is the correct answer.

Answer:

41.51

Step-by-step explanation:

cos(41)=x/55

x=cos(41)*55≈41.51

i think the answer is option b

Answer:

12

Step-by-step explanation:

5^2 + b^2 = 13^2

25 + b^2 = 169

169-25= 144

take the square root of 144

answer: 12

Answer:

D

Step-by-step explanation:

She ate 240 in 6 days or 40/day

So she would eat 120 in 3 days (40x3)

Answer:

D) 120 grapes in 3 days

Step-by-step explanation:

240/6 = 40 per day

80 in 2 days

120 in 3 days

Answer:

Step-by-step explanation:

"Inversely proportional to x" in this situation is represented by a = k/x.

Find k:

Let a = 15 and x = 25, then calculate k:

15 = k/25)

Multiplying both sides by 25 yields k = 15(25), or k = 3/5

                       3

and so a = -----------

                      5x