Help please ..............

Answer:

Step-by-step explanation:

Here the coefficients are a = 2, b = 3 and c = -7.

Thus, the discriminant b²-4ac is 3²-4(2)(-7), or 9 + 56 = 63.

Because the discriminant is positive, we know we have two real, different roots.  They are:

      -3 ± √63         -3 + 3√7                      -3 - 3√7

x = ---------------- = -----------------  and  x = -----------------

          2(2)                   4                                   4

Answer

A quadrilateral with one pair of parallel sides is a trapezoid. If it has two pairs of parallel sides it is a parallelogram, but parallelograms are also trapezoids in the same way that dogs are also mammals. A parallelogram has two pairs of congruent sides.

Answer:

Car A went 60 km in 3/4 hour, mean 60: 3/4=80 km per hour.

Car B went 80km in 4/5 hour, mean 80;4/5= 100km per hour.

So Car B went faster than Car A and faster than 20 km.  That will be help.

Step-by-step explanation:

Answer: Car B was 1 1/4 times faster

Step-by-step explanation:

Car A went 60 km in 3/4 hour

1 divided by 3/4=4/3 (the inverse of 3/4 is 4/3)

60/1*4/3=80

Car A=80

Car B went 80 km in 4/5 hour

1 divided by 4/5=5/4

80/1*5/4=100

Car B=100

100 divided by 80 is 1 1/4

Hope This helps :P

Answer:330 degrees

Step-by-step explanation: It helps by drawing a picture, hope this helps

Answer: [tex]arc\ length=3[/tex]

Step-by-step explanation:

The formula for calculate the arc lenght is:

[tex]arc\ length=2\pi r(\frac{\theta}{360})[/tex]

Where "r" is the radius and "[tex]\theta[/tex]" is the central angle of the arc in degrees.

The formula used to find the circumference of a circle is:

 [tex]C=2\pi r[/tex]

Where "r" is the radius.

Then, we can observe that the formula for calculate the arc lenght can be rewritten in this form:

[tex]arc\ length=C(\frac{\theta}{360})[/tex]

Where "C" is the circumference of the circle.

Finally we need to substitute the central angle and the circumference into [tex]arc\ length=C(\frac{\theta}{360})[/tex]. Then the result is this:

[tex]arc\ length=36(\frac{30\°}{360})=3[/tex]

Since; There are two pre-images for -2

It cannot be a linear Function.

And if we were to plot a graph...

A vertical line would cross At Three point

So; It has to be a cubic function.

Hope it helps...

Regards;

Leukonov/Olegion.

Answer:

sin 2Ф = -24/25

Step-by-step explanation:

* Lets revise the trigonometry functions in the four quadrants

# First quadrant the measure of all angles is between 0° and 90°  

∴ All the angles are acute  

∴ All the trigonometry functions of any angle are positive

# Second quadrant the measure of all angles is between 90° and 180°

∴ All the angles are obtuse

∴ The value of sin of any angle is positive (cos and tan are negative)

# Third quadrant the measure of all angles is between 180° and 270°

∴ All the angles are reflex

∴ The value of tan of any angle is positive (sin and cos are negative)

# Fourth quadrant the measure of all angles is between 270° and 360°  

∴ All the angles are reflex

∴ The value of cos any angle is positive ( sin and tan are negative)

* We will need to revise two identity to solve the question

# sin²Ф + cos²Ф = 1

# sin 2Ф = 2 sinФ cosФ

* Now lets solve the question

∵ cosФ = 3/5

∵ Ф is in the fourth quadrant

∴ The value of sinФ is negative

∵ sin²Ф + cos²Ф = 1

∴ sin²Ф + (3/5)² = 1

∴ sin²Ф + 9/25 = 1 ⇒ subtract 9/25 from both sides

∴ sin²Ф = 16/25 ⇒ take √ for both sides

∴ sinФ = ± 4/5

- We will chose the value -4/5 because Ф is in the fourth quadrant

∴ sinФ = -4/5

∵ sin 2Ф = 2 sinФ cosФ

∵ sinФ = -4/5 and cosФ = 3/5

∴ sin 2Ф = 2 (-4/5) (3/5) = -24/25

Final answer:

To find the number of atoms in 700 grams of oxygen, multiply the number of atoms in 1 gram (3.76 × [tex]10^2^2[/tex]) by 700 to get 2.63 × [tex]10^2^5[/tex] atoms, expressed in scientific notation.

Explanation:

To calculate the number of atoms in 700 grams of oxygen, you can use the number of atoms in 1 gram as a conversion factor:

When multiplying, you multiply the numbers (3.76 × 700) and add the exponents for 10 (22 remains constant because the base is ten and we're dealing with grams of oxygen).

The final calculation gives 2.63 × [tex]10^2^5[/tex] atoms of oxygen, with the answer rounded to two decimal places as instructed and written in scientific notation.

Answer:

The first option is the right answer $ 845.16

Step-by-step explanation:

1.089.26-120=969.26

969.26+325=1.294.26

1.294.26-425=869.26

869.26-24.10= 845.16

Answer:

259.8 cm²

Step-by-step explanation:

A regular hexagon can be cut into 6 equilateral triangles and an equilateral triangle can be divided into two 30°- 60°- 90° triangles

Note that the apothem (5[tex]\sqrt{3}[/tex]) divides the triangle into two equilateral triangles, thus

The apothem is the long leg (the x[tex]\sqrt{3}[/tex]) side of a 30- 60- 90 triangle, so

x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex] ⇒ x = 5

Thus the side length of the hexagon = 2 × 5 = 10

and the perimeter = 6 × 10 = 60

A = [tex]\frac{1}{2}[/tex] × perimeter × apothem

   = 0.5 × 60 × 5[tex]\sqrt{3}[/tex] = 150[tex]\sqrt{3}[/tex] ≈ 259.8 cm²

Answer:

The solution is  (2,6)

Step-by-step explanation:

Let

x-----> the number of hours to change a fuel injection unit

y-----> the number of hours to change a transmission

we know that

5x+10y=70 -----> equation A

8x+8y=64 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (2,6)

see the attached figure

Answer:

  y = -x +4

Step-by-step explanation:

The y-intercept of the line is at +4, so the only viable choice is the last choice.

___

Each of the equations is shown in slope-intercept form:

  y = mx + b

where b is the y-intercept, the y-value when x=0. The graph shows that as point (0, 4). So, the equation you're looking for is ...

  y = (some x-term) +4

If you want to spend more brain power on the problem, you can compute the slope of the line as ...

  m = ∆y/∆x = (1-4)/(3-0) = -3/3 = -1

Now, you know for sure the equation of the line is ...

  y = -x +4

The answer is given in the file attached

angle addition postulate:

m∠B = m∠1 + m∠3

m∠1 = m∠B - m∠3

To be in the tallest 5% of adult males in Croatia, given a mean height of 180 cm and a standard deviation of 7 cm, the required height would be about 191.515 cm.

The question is related to the concept of normal distribution in statistics. Given that the heights of all adult males in Croatia are approximately normally distributed with a mean of 180 cm and a standard deviation of 7 cm, we are asked to calculate the height a male would need to be in the tallest 5% of males.

We use the z-score to solve this. The z-score associated with the top 5% of a standard normal distribution is approximately 1.645 (you can find this in a standard z-table or through a statistical calculator).

To find the height associated with this z-score, we use the formula: X = μ + zσ, where X is the measurement we seek, μ is the mean, z is the z-score, and σ is the standard deviation. Substituting the given values, we get:

X = 180 cm + 1.645 * 7 cm

X = approximately 191.515 cm

So, to be in the tallest 5% of males in Croatia, an adult male would have to be about 191.515 cm or taller.

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An adult male in Croatia must be approximately 190.5 cm tall to be in the tallest 5% of the males.

To find out how tall an adult male in Croatia must be in order to be the tallest 5% of the males, we need to find the z-score corresponding to the upper 5% tail of the standard normal distribution.

Using the z-score formula, z = (x - mean) / standard deviation, we can solve for x.

Plugging in the values, we have z = (x - 180) / 7. Now, we can find the z-score corresponding to the upper 5% tail, which is approximately 1.645.

Substituting this value back into the z-score formula, we have 1.645 = (x - 180) / 7. Solving for x, we find that x is approximately 190.5 cm.

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Answer:

The selected answers are correct.

Step-by-step explanation:

The first step of the 3-step test for continuity is

The second step of the 3-step test for continuity is

The third step is