Easy 7th grade math , solve all problems in the picture. I’ll give brainliest

The density of the rock with a mass of 39.78 g and volume 12.45 cm³ is 3.2 g/cm³.

Density is simply the mass of a unit volume of a material substance.

It is expressed mathematically as;

p = m / v

Where m is mass and v is volume

Given the data in the question;

Plug the given values into the above formula and solve for p.

p = m / v

p = 39.78g / 12.45 cm³

p = 3.2 g/cm³

Therefore, the density of the rock is approximately 3.2 g/cm³.

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Answer: The answer is q = 28.

The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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Answer:

The nervous system helps the respiratory system by sending messages to the diaphragm to contract, which is essential for breathing. The diaphragm is a muscle that separates the chest cavity from the abdominal cavity and is responsible for inhaling and exhaling. The nervous system sends signals to the diaphragm to contract, causing it to move downward and expand the lungs during inhalation. During exhalation, the diaphragm relaxes and moves upward, pushing air out of the lungs. Therefore, the nervous system plays a critical role in regulating the diaphragm's movements, ensuring proper oxygenation of the blood, and removal of carbon dioxide from the body.

Answer:35 square

Step-by-step explanation:

The new temperature after the fall is 60 degrees Fahrenheit.

Temperature is the measure of the degree of hotness or coldness of an object or a region with respect to a standard value. It is expressed in units such as degrees Celsius (°C) or Fahrenheit (°F). A change in temperature can be an increase or decrease.

In this case, the temperature fell by 20 from the initial temperature of 80.

Therefore, the new temperature can be determined by subtracting the amount of the fall from the initial temperature. Thus, the new temperature is 60. The temperature went from 80 to 60. A fall of 20 has occurred.

Therefore, to get the new temperature after the fall, we need to subtract the amount of the fall from the initial temperature.

This is the same as finding the difference between the initial temperature and the fall. Thus, subtracting 20 from 80 gives 60.

Hence, the new temperature after the fall is 60 degrees Fahrenheit.

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To calculate the speed of a racehorse in furlongs per fortnight, we need to convert the given speed from yards per second to furlongs per fortnight/ The horse's speed would be 0.001694 furlongs per fortnight.

Given that the horse is running at a speed of 6.00 yards per second, we can convert this speed to furlongs per fortnight. First, we need to convert yards to furlongs by dividing by the conversion factor of 220 yards per furlong:

6.00 yards/s / 220 yards/furlong = 0.02727 furlongs per second

Next, we need to convert seconds to fortnights. Since there are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 14 days in a fortnight, we can perform the necessary conversions:

0.02727 furlongs/s * 60 s/min * 60 min/hour * 24 hours/day * 14 days/fortnight = 334.84 furlongs per fortnight

Rounding to the appropriate decimal places, the horse's speed is approximately 0.001694 furlongs per fortnight.

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Answer:

Step-by-step explanation:

Non terminating and repeating rational number

Answer:

c=17

Step-by-step explanation:

Answer: The  hypotenuse is 17 m

Step-by-step explanation:

c=a2+b2=152+82=17m

Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:

The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).

The vertex represents the minimum or maximum point of the parabola.

The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\)  term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)

The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)

On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)

It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.

The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.

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Dyscalculia is a learning disorder that affects a person’s ability to do the math.

A learning problem called dyscalculia diminishes a person's capacity for math. Similar to how dyslexia impairs reading-related brain regions, dyscalculia interferes with the knowledge and skills connected to math and numbers. Although dyscalculia often first manifests in childhood, it can even affect adults who are unaware of it.

The signs of this condition typically emerge in childhood, particularly as kids start to master the fundamentals of math. However, many adults who suffer from dyscalculia are unaware of it. When forced to do the math, people with dyscalculia frequently experience mental health problems like anxiety, depression, and other distressing emotions.

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Answer:

330.

Step-by-step explanation:

Count all the way up. The first row is 20, then goes, 22,24,26,28,30,32,34,36,38,40. These are the number of seats for all 12 rows, since we added 2 each row. Add them all together including 20 to get 330 seats. The whole auditorium has 330 seats.

Hope this helps!

As per arithmetic Progression, there are 372 seats in the given auditorium.

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Given, the auditorium has 20 seats in the first row.

Then, each successive row contains 2.

We can assume it as an arithmetic progression.

Here, the first term(a) is 20.

The common difference(d) is 2.

Total number of terms(n) is 12.

Therefore, the sum of all the terms is

\(= \frac{n}{2}[2a + (n-1)d]\\= \frac{12}{2}[2(20) + (12-1)2]\\= 6[40+(11)2)]\\= 6(40+22)\\= 6(62)\\= 372\)

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Answer:

Conv. of Alt. Int. is the correct answer.

Answer:

The answer is -2(14x - 9)

Step-by-step explanation:

Hoped this helped!

Sorry if this is wrong.

Answer:

1. When f(t) = 0:

t = 5.2, 15.2

2. The x-intercepts (5.2, 15.2) mean that when 5.2 or 15.2 seconds have elapsed, the dolphin is at 0 feet, or the surface of the water.

Answer:

Mean: 29

Median: 42

Mode: 29

Range: 23

Step-by-step explanation:

brainlest plzzz

Answer:  

5p^2+5q^2-3pq^2  

Step-by-step explanation:  

3q^2+4p^2-2pq^2-(2pq^2-3p^2)  

3q^2+4p^2-2pq^2-2pq^2+3p^2  

7p^2+3q^2-4pq^2+(pq^2-5p^2+q^2+3p^2+q^2)  

7p^2+3q^2-4pq^2+pq^2-2p^2+2q^2  

5p^2+5q^2-3pq^2

Answer:36

Step-by-step explanation:

Answer:

cirlc

Step-by-step explanation:

you nee to find the area and and then you can find ur answer

Answer:

-18/9 when u simply it’s 2

Step-by-step explanation:

Answer:

$16.50

Step-by-step explanation:

y=mx+b

y is total cost, m is the miles, x is the cost per mile driven, and b is the pickup charge.

y=(7 miles x $2) + $2.50

y= $16.50

Answer:

Step-by-step explanation:

y=(7 miles x $2) + $2.50

y= $16.50

the length of one leg of a right triangle is 7 meters less than the length of the other leg. the length of the hypotenuse is 13 meters. find the lengths of the legs.

The hypotenuse of the right angle triangle is given by the equation '

A = √74 or 8.6 meters

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of side AB = 5 meters

The measure of side BC = 7 meters

The measure of side AC = hypotenuse of the triangle

And , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

AC² = 5² + 7²

AC² = 25 + 49

AC² = 74

Taking square roots on both sides of the equation , we get

AC = √74

AC = 8.602 meters

Therefore , the value of AC is 8.6 meters

Hence , the hypotenuse is √74 or 8.6 meters

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Answer:

(-10, 6)

Step-by-step explanation:

( -x - y  = 4)(2) ⇒  -2x -2y = 8

                            2x + 4y = 4

                                    2y = 12

                                       y = 6

-x -(6) = 4

x=-10

Answer:

The image is reflecting in the x axis

Step-by-step explanation:

hope that's what you were looking for. if not, the middle of both of the images is (0, .5)

If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.

An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

14t²+42t

Step-by-step explanation:

So you're basically going to use distributive property.

(2t+6)+7t is the same as, (2t)7t + 6(7t).

2t(7t)= 14t² and 6(7t)= 42t.

Combine the two answers and you get 14t²+42t.

14t²+42t is the simplest form you can get to.

Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

Answer:

Sarah

Step-by-step explanation:

6.75/3 is the total for one pound . This = 2,25 while calros' 4.52/2 = 2.26. sarah paid one cent less, getting a better deal than carlos

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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