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Answer:

d = 76 m

Step-by-step explanation:

It is given that, the speed of 4 ft per second when it takes off and flies upward

We need to find how far away from the surface of the water will the seagull be after 9 seconds.

Speed is distance over time.

So,

Distance, d = vt

d=4 ft/s × 19 s

d=76 meters

So, the seagull will be at a distance of 76 m from the surface of water.

Answer:

8 people

Step-by-step explanation:

Divide half by your new product everytime you divide.

132÷2 = 66

66÷2 = 33

33÷2 = 16.5

16.5÷2 = 8.25

Round to nearest whole number and you get 8. There will be 8 people left over after 4 rounds.

Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

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Answer:

The measure of angle B would be 100°

Step-by-step explanation:

Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100

Answer:

first graph is a function

Step-by-step explanation:

Answer

8 More minutes

Step-by-step explanation:

15+ 17 = 32

32/.8 = 40

40 - 32 = 8

Answer:

(a) the time for the event of the highest 5% is 15.29 minutes.

(b) the time for the event of the lowest 50% is 12 minutes.

(c) the time for the event of the middle 95% is 8.08 minutes and 15.92 minutes.

(d) the time for the event of the lowest 80% is 13.68 minutes.

Step-by-step explanation:

We are given that the time required to cook a pizza at a neighborhood pizza joint is normally distributed with a mean of 12 minutes and a standard deviation of 2 minutes.

Let X = the time required to cook a pizza at a neighborhood pizza joint.

The z-score probability distribution for the normal distribution is given by;

                              Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = mean time = 12 minutes

           \(\sigma\) = standard deviation = 2 minutes

(a) We have to find the time for the event of the highest 5%, that means;

           P(X > x) = 0.05     {where x is the required time}

           P( \(\frac{X-\mu}{\sigma}\) > \(\frac{x-12}{2}\) ) = 0.05

           P(Z > \(\frac{x-12}{2}\) ) = 0.05

Now, in the z table, the critical value of x that represents the top 5% of the area is given as 1.645, i.e;

                      \(\frac{x-12}{2}=1.645\)

                      \({x-12}=1.645\times 2\)

                      x = 12 + 3.29 = 15.29 minutes.

Hence, the time for the event of the highest 5% is 15.29 minutes.

(b) We have to find the time for the event of the lowest 50%, that means;

           P(X < x) = 0.50     {where x is the required time}

           P( \(\frac{X-\mu}{\sigma}\) < \(\frac{x-12}{2}\) ) = 0.50

           P(Z < \(\frac{x-12}{2}\) ) = 0.50

Now, in the z table, the critical value of x that represents the lowest 50% of the area is given as 0, i.e;

                      \(\frac{x-12}{2}=0\)

                      \({x-12}=0\)

                      x = 12 + 0 = 12 minutes.

Hence, the time for the event of the lowest 50% is 12 minutes.

(c) We have to find the time for the event of the middle 95%, that means we have to find the time for the event of 2.5% and above 97.5%;

Firstly, the time for the event of the lowest 2.5%, i.e;

           P(X < x) = 0.025     {where x is the required time}

           P( \(\frac{X-\mu}{\sigma}\) < \(\frac{x-12}{2}\) ) = 0.025

           P(Z < \(\frac{x-12}{2}\) ) = 0.025

Now, in the z table, the critical value of x that represents the lowest 2.5% of the area is given as -1.96, i.e;

                      \(\frac{x-12}{2}=-1.96\)

                      \({x-12}=-1.96 \times 2\)

                      x = 12 - 3.92 = 8.08 minutes.

Firstly, the time for the event of the below 97.5%, i.e;

           P(X < x) = 0.975     {where x is the required time}

           P( \(\frac{X-\mu}{\sigma}\) < \(\frac{x-12}{2}\) ) = 0.975

           P(Z < \(\frac{x-12}{2}\) ) = 0.975

Now, in the z table, the critical value of x that represents the top 2.5% of the area is given as 1.96, i.e;

                      \(\frac{x-12}{2}=1.96\)

                      \({x-12}=1.96 \times 2\)

                      x = 12 + 3.92 = 15.92 minutes.

Hence, the time for the event of the middle 95% is 8.08 minutes and 15.92 minutes.

(d) We have to find the time for the event of the lowest 80%, that means;

           P(X < x) = 0.80     {where x is the required time}

           P( \(\frac{X-\mu}{\sigma}\) < \(\frac{x-12}{2}\) ) = 0.80

           P(Z < \(\frac{x-12}{2}\) ) = 0.80

Now, in the z table, the critical value of x that represents the lowest 80% of the area is given as 0.8416, i.e;

                      \(\frac{x-12}{2}=0.8416\)

                      \({x-12}=0.8416 \times 2\)

                      x = 12 + 1.68 = 13.68 minutes.

Hence, the time for the event of the lowest 80% is 13.68 minutes.

Answer:

25 dm²

Step-by-step explanation:

La superficie de nuestra pared tiene 12.5 m²

Si dividimos la superficie por la cantidad de paneles cuadrados, obtenemos la superficie de cada panel

12.5 m² /50 = 0.25 m²

Sabemos que la superficie de un cuadrado se calcula como l²

Convertimos los 0.25 m² a dm² → 0.25 m² . 100 dm² / 1m² = 25 dm²

Esa es la medida de cada papel.

Si calculamos la medida de cada lado será:

√ (25 dm²) = 5 dm

En conclusión un cuadrado con 5 dm de lado tiene 25dm² de superficie

Si convertimos a m² = 0.25 m²

0.25 m² es la medida que cubre 1 panel de papel

para cubrir 12.5 m² necesitariamos (12.5  . 1) /0.25 = 50 paneles.

Answer:

see below

Step-by-step explanation:

a. H 1, H2 ,H3  T1 ,T2, H3

b  6 possible outcomes

c 2 outcomes for the coin ( h,T) 3 outcomes for the spinner

2*3 = 6

Answer:

452.4 mi^2

Step-by-step explanation:

area of circle=πr^2

=22/7*(12)^2

=3.142*144

=452.448

=452.4 mi^2

Answer:

C)    452.4 mi²

Step-by-step explanation:

a = πr²

a = π * 12²

a = π * 144

a = 452.3893421169

a = 452.4

Answer:

x=84

Step-by-step explanation:

1/7x +3=15

1/7x=15-3

1/7x=12

divide by 1/7

X=84

Answer:

t = 2

Explanation:

To solve this equation, add nine to both sides. This will isolate the variable (t) and allow us to find its value.

\(-9 + t = -7\\(-9 + 9) + t = (-7 + 9)\\t = (-7 + 9)\\t = 2\)

If you would like to double check that the variable (t) does in fact equal two, substitute the value of the variable in the equation and solve.

\(-9 + t = -7\\-9 + 2 = -7\\-7 = -7 [true]\)

Therefore, the value of t in the given equation is 2.

if you times the two questions the answer is 1.5700 I hope this helps because I'm not that good at math! :)

Answer:

x = 2, 4

Step-by-step explanation:

Step 1: Write out quadratic

x² - 6x + 10 = 2

Step 2: Subtract 2 on both sides

x² - 6x + 8 = 0

Step 3: Factor

(x - 4)(x - 2) = 0

Step 4: Find roots

x - 4 = 0

x = 4

x - 2 = 0

x = 2

Hey there! :)

Answer:

m∠8 = 30°.

Step-by-step explanation:

Since AB || CD, m∠4 = m∠8 because they are corresponding angles. Therefore:

If m∠4 = 30°, m∠8 = 30°.

Answer:

30 = <8

Step-by-step explanation:

<4 and <8 are corresponding angles and corresponding angles are equal when the lines are parallel

<4 = <8

30 = <8

Answer:

I'm pretty sure the answer is $43

Answer:

52°

Step-by-step explanation:

it should always add up to 180°

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

No.

In a right triangle one of the angles is right angle i.e 90° and, therefore, sum of other two angles will always be equal to 90°, which means the other two angles will be acute angles

Using the segment addition postulate, the lengths of the sides are given as follows:

The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the smaller segments.

In this problem, the line AM is divided into two segments by point R, as follows:

The total length of the line is given by:

AM = -5x + 3.

Hence the solution for x is given as follows:

AR + RM = AM

9x + 2 + 2x + 6 = -5x + 3

11x + 8 = -5x + 3

16x = -5.

x = -5/16

x = -0.3125.

Hence the lengths are:

There is a typo in the signals as we have a negative length, which is not possible, but the procedure is as shown in this problem.

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The 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,... is  -79.

The nth term of a particular arithmetic sequence can be found by,  an = a + (n – 1)d. So in order to find the nth term, substitute the given values \(a_{1}\) and d  into the formula. So to find the 14th term, substitute n = 14 into the equation which is the nth term.

Given,

 \(a_{1}\)= x-1x-1

 \(a_{2}\)= 7x-77x−7

 \(a_{3}\)= 13x-13

 n=  14

We have to find the common difference d from differences in adjacent terms \(a_{1}\),\(a_{2}\),\(a_{3}\) . That is,

\(a_{2}-a_{1} =a_{3} -a_{2}\)

\(7x-77x-7-(x-1x-1)=13x-13-(7x-77x-7)\)

\(7x-77x-7-x+x+1=13x-13-7x+77x+7\\-70x-8x=-6+6\\-78x=0\\ x=0\)

Put x=0 in x-1x-1, 7x-77x-7, 13x-13

Therefore,

\(a_{1}\) = -1

\(a_{2}\) = -7

\(a_{3}\) = -13

Then,  d will be \(-7-(-1)\) or \(-13-(-7)\)

So, d= -6

Put  \(a_{1}\), d, and n in the equation \(a_{n} =a+(n-1)d\)  to find the 14th term.

Therefore,

\(a_{14}=-1+(14-1)-6\\ =-1-78\\=-79\)

The 14th term of the given arithmetic sequence is -79

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Answer:

Dali Lang po Yan Kaya mopo yan

Answer:

-21

you "forget" the negative symbol and add like normal, then put the negative symbol in front of your answer

The requried an equivalent choice to the given quotient when x > 0 is 2√x(2x +√2).

To simplify the given quotient, we can use the fact that √(a*b) = √a * √b and √aⁿ = a(ⁿ/²) for any non-negative real numbers a and b and any even integer n.

√16x³+√8x

= √(16xx²) + √(8x)

= √(2²×2²×x×x²) + √(2³×x)

= 4x√x + 2√2x

= 2√x(2x +√2)

Therefore, an equivalent choice to the given quotient when x > 0 is:

2√x(2x +√2)

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