Luzia ran the 400‑meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?

Answer: 1st box:  (2²)² x (2³)⁻³
             
              2nd box: (-2⁻⁴)⁻² x (2²)⁰

              3rd box: (-2²)⁻⁶ / (2⁻⁵)⁻⁴

             4th: 2⁴(2²)⁻²

Answer:

it would be the first one!

Step-by-step explanation:

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference.

so, Pythagoras applies.

c² = a² + b²

distance² = (2 - -7)² + (11 - 9)² = 9² + 2² = 81 + 4 = 85

distance = sqrt(85) = 9.219544457... ≈ 9.2

The distance between the points A(2,11) and B(−7,9) is d = √85.

There are two points (a, b) and (c, d) then the distance between two points is

d= √(c -a)² + (d-b)²

We have the points A(2, 11) and B(-7, 9).

Using the Distance Formula

d = √(-7-2)² + (9-11)²

d= √(-9)² + (-2)²

d= √81 + 4

d = √85

Thus, the distance between points is √85 unit.

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Answer:

[tex] \frac{1}{2} [/t

Step-by-step explanation:

[tex]( \frac{6}{4} - \frac{2}{4} ) \times (2 \times \frac{1}{2} )[/tex]

[tex]( \frac{6 - 2}{4} ) \times ( \frac{2 - 1}{2} )[/tex]

[tex] \frac{4}{4} \times \frac{1}{2} [/tex]

[tex] \frac{1}{2} [/tex]

Answer:

(q + 64) ÷ 83

Step-by-step explanation:

(q + 64) ÷ 83

The answer is (q + 64) ÷ 83

Given Equation :-

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 5(p-3) = 63}[/tex]

We are asked to find the value of p in the above equation.

First multiply (p-3) by 5 –

[tex]\qquad[/tex][tex] \sf \longrightarrow 5 \times p - 5 \times 3 = 63[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p - 15 = 63[/tex]

Now, add 15 to both sides –

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p -15 +15 = 63 +15 [/tex]

Now, we can cancel 15 from Left side –

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p - \cancel{15 }+\cancel{15 }= 63 +15 [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p = 78[/tex]

Divide both sides by 5–

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{5p}{5} = \dfrac{78}{5}[/tex]

Cancel 5 from left side also cancel 78/5, which can be divided by 15.6.

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{5}p}{\cancel{5}} =\cancel{\dfrac{ 78}{5}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow p = 15.6}[/tex]

Given :

To Find :

Solution :

[tex]\qquad\sf{ { \dashrightarrow{ 5(p - 3) = 63}}}[/tex]

Using Distributive property, we get :

[tex]\qquad\sf{ { \dashrightarrow{ 5p - 15 = 63}}}[/tex]

Now, Transposing (-15) to the right side, which then becomes positive :

[tex]\qquad\sf{ { \dashrightarrow{ 5p = 63 + 15}}}[/tex]

[tex]\qquad\sf{ { \dashrightarrow{ 5p = 78}}}[/tex]

Dividing 5 from both sides we get :

[tex]\qquad\sf{ { \dashrightarrow{ \dfrac{5p}{5} = \dfrac{78}{5} }}}[/tex]

[tex]\qquad\bf{ { \dashrightarrow{ p = 15.6 }}}[/tex]

⠀

Answer:

y=2x+6

Step-by-step explanation:

Slope intercept form is:

y=mx+b

m: slope

b: y-intercept

We can start by solving for the slope. The equation for slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in any two x, y pairs from the table into the equation. Let's use (-3, 0) and (0, 6):

[tex]Slope=\frac{6-0}{0-(-3)}=\frac{6}{0+3}=\frac{6}{3}=2[/tex]

y=2x+b

Now, we can plug in a x, y pair from the table in for x and y to solve for the y-intercept. Let's use (0, 6):

y=2x+b

6=2(0)+b

6=0+b

b=6

Therefore the equation is:

y=2x+6

Answer:

x=115

Step-by-step explanation:

I hope this helps you!!

Answer:

y = 6°

x = 19.4°

Step-by-step explanation:

Use alternating interior angles

The angle adjacent to 5x + 3 is equal to 58 because of alternating interior angles.

58+100+3y+4 = 162 + 3y

162 + 3y = 180

3y = 18

y = 6

The two base angles are equal because the two lines are parallel

5x + 3 = 100

5x = 97

x = 19.4

Hope this helps :)

Have an awesome day!

Answer:

620.5 is correct due to my knowledge. :3

Step-by-step explanation:

Answer:

inverse: [tex]f^{-1}(x) = \sqrt[5]{x^3 - 5}[/tex]

                                            explanation:

Given: f(x) = [tex](x^5 +5)^{\frac{1}{3} }[/tex]

let f(x) be y

y =  [tex](x^5 +5)^{\frac{1}{3} }[/tex]

To find inverse, make x the subject.

[tex]y^3 = x^5 + 5[/tex]

[tex]y^3 - 5 = x^5[/tex]

[tex]x = \sqrt[5]{y^3 - 5}[/tex]

change signs:

[tex]f^{-1}(x) = \sqrt[5]{x^3 - 5}[/tex]

Answer:

Jake sells 7 muffins at the bake sale.

Step-by-step explanation:

If Jake sells 25 fewer muffins than Carlos, you must subtract the number of muffins Jake sells from the number of muffins Carlos sells.

32-25 = 7

Answer:

c ≈ 70.7

Step-by-step explanation:

Solve using the Pythagorean theorem:

-Chetan K

The polynomial  [tex]3x^5 + 7x^6 + 11x^7 - 12x - 10[/tex] is in standard form if the exponents are arranged in decreasing order.

Polynomial is an algebraic expression with one or more terms. For example :[tex]2x^3+6x^4+x^2+x+2[/tex]. In this example and in your exercise the exponents of the terms are not arranged in order.

Um polynomial is in Standard Form when the exponents of the terms are in decreasing order. See more details below.

[tex]2x^3+6x^4+x^2+x+2[/tex]is not in standard form because the exponents are not written in decreasing order.

[tex]6x^4+2x^3++x^2+x+2[/tex] is in standard form because the exponents are written in decreasing order.

Therefore, the given polynomial will be in standard form if yours exponents are arranged in decreasing order.

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Answer:

x=3.42

Step-by-step explanation:

[tex] \sin(20) = \frac{x}{10} [/tex]

[tex]x = 10 \sin(20) = 3.42[/tex]

Answer:

x = 3.420 (to the nearest hundredth)

Step-by-step explanation:

Trig ratios:

sin(x) = O/H

cos(x) = A/H

tan(x) = O/A

where x is the angle, O = side opposite the angle, A = side adjacent to the angle, H = hypotenuse

We have been given:

angle = 20°

opposite side to angle = x

hypotenuse = 10

Therefore, we should use sin(x) = O/H

Substituting the above values into the trig ratio:

⇒  sin(20) = x/10

⇒  x = 10 sin(20)

⇒  x = 3.420 (to the nearest hundredth)

Answer:

1/4 or .25

Step-by-step explanation:

y value is increasing by 1 between each point while x is increasing by 4

slope = rise over run or 1/4 in this case

Answer: f(x) = 3x^(2)-2x+1

f(x) = 3x^(2)-2x+1 = y-intercept (0, 1).

g(x) = -10x^(2)+50x = y-intercept (0, 0).

As we see, the first equation (f(x) = 3x^(2)-2x+1) has a y-intercept of (0, 1), while the other equation (g(x) = -10x^(2)+50x) has a y-intercept of (0, 0). This means that the quadratic equation that has the greatest y-intercept is f(x) = 3x^(2)-2x+1, which is (0, 1).

Step-by-step explanation:

Hope this helps =)

Answer:

Addition Property of Equality

Step-by-step explanation:

Addition Property of Equality.

The addition property of equality justifies the work done in Line 3. This is because it essentially states that if you add something to one side of an equation, you must add it to the other side as well. In this case, we are adding 22 to both sides of the equation, therefore we are making use of the Addition Property of Equality.

Answer:

  (a) 315°

  (b) 3°

  (c) 238°

Step-by-step explanation:

Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.

The bearing of P from R is 180° different from the bearing of R from P it will be ...

  135° +180° = 315° . . . . bearing of P from R

__

The bearing of Q from R is 48° more than the bearing of P from R, so is ...

  315° +48° = 363°, or 3° . . . . bearing of Q from R

__

The angle QPR has a value that makes the sum of angles in the triangle equal to 180°. It is ...

  180° -48° -55° = 77°

The bearing of Q from P is 77° less than the bearing of R from P, so is ...

  135° -77° = 58°

As above, the reverse bearing from Q to P is ...

  58° +180° = 238° . . . . bearing of P from Q

The organization of the numbers in the triangles would look like this from top to bottom and from right to left: 2, 8, 4, 9, 3, 5, 7, 6, 1.

To organize the numbers we must take into account the final result that the sections highlighted in color, green, red and yellow, must add.

A key to being able to organize the numbers correctly was taking into account that the largest numbers could not be in the same section because they would add up to more than the required final number, 22.

According to the above, the distribution of the numbers was carried out in the following way and all the results coincide:

Red section:

Green section:

YellowSection:

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Answer:

p2 - 12p - 27

Step-by-step explanation:

mark me brainiest

Answer: ( P - 9 ) ( p - 3)

......Should be ur answer. have a wonderful day kind person!!!!!

Answer:

b

b because 30% off of 39.98 is 27.98 and if u do 39.98 minus 11.99 it is 27.99

Answer:

Your answer is A/B.

Because TanA =P/B

Answer:

B

Step-by-step explanation:

Answer: y=4/3x -3

Therefore the slope is 4/3

Step-by-step explanation:

distribute your x to the other side and divide

Answer:

4/3

Step-by-step explanation:

8x-6y=18

-6y=18-8x

divide all terms by -6

y=-3+4x/3

y=4x/3 -3

y=4/3x -3

slope 4/3

Answer:

55

Step-by-step explanation:

55% = 5.5 hours. 4.5+5.5= 10 hours.