Dr. Ballard refers to Earth as a ‘living breathing creature’- do you think he meant for us to take this literally?

Answer:

option 3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

y = 5.2, x = 6

Step-by-step explanation:

to find y:

opposite/adjacent = tan(60)

y/3 = tan(60)

y = tan(60) * 3

y = 5.2

to find x:

adjacent/ hypotenuse = cos(60)

3/x = cos(60)

x = 3/cos(60)

x = 6

1.

Differentiate the function with respect to x.

For maximum and minimum value first derivative of function is equal to 0.

Evaluate the value of x by equate the first derivative of function to 0.

Differentiate the first derivative of function with respect to x to obtain second derivative of function.

The second derivative of function is 4, which is more than 0 so x = 5 corresponds the minimum value of function.

The function has minimum value.

2.

Substitute 5 for x in the equation to obtain the minimum value of function.

Thus, minimum value of function is 4.

3.

The minimum value of function occur at x = 5.

√7 + √9 is not equal to √7 + 9 because  different quantities are being added.

The square root of a number is a value that, when multiplied by itself, gives the original number.

From the information given, we have that the expression;

√7 + √9 involves adding the square root of 7 to the square root of 9.

Then, we can simply it as the the square root of 9 is 3

But then, the expression √7 + 9 involves adding the square root of 7 to the number 9.

Therefore, √7 + √9 is not equal to √7 + 9 because you're adding different quantities

Learn more about surds at: https://brainly.com/question/840021

#SPJ3

The second differences for the relation is -2 which is option A.

To find the second differences, we need to calculate the difference between consecutive differences of the 'y' values in the given relation.

First, let's calculate the first differences:

-9 - (-4) = -5

-4 - (-1) = -3

-1 - 0 = -1

0 - (-1) = 1

-1 - (-4) = 3

-4 - (-9) = 5

Now, let's calculate the second differences:

-5 - (-3) = -2

-3 - (-1) = -2

-1 - 1 = -2

1 - 3 = -2

3 - 5 = -2

The second differences for the given relation are all -2.

learn more on relations here;

https://brainly.com/question/29685213

#SPJ1

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

The solution that each system of equations have would be = 2 solutions of the value of X and y.

The substitution method of solving an equation is defined as the way of solving an equation whereby one variable is solved and is substituted into the second unknown variable.

For the above sets of equations, the solutions would be the value of both X and y which can be solved as follows:

4x-y = 2 ---->. equation 1

16x-4y = 8 -----> equation 2

Make y the subject of formula in equation 1

y = 2-4x

substitute y = 2-4x into y in equation 2

16x - 4( 2-4x) =8

16x - 8 + 16x = 8

32x = 16

X = 16/32

X= 0.5

Substitute 0.5 = X in equation 1;

4(0.5) - y = 2

y = 2-2

y = 0

Learn more about substitution here:

https://brainly.com/question/25869125

#SPJ1

The number of pages that Hank and his partner still have to write is 7.5 pages.

Given that Hank and his partner are writing a 20 page history report and they complete 25% of the report in class, the pages remaining will be:

= 20 - (25% × 20)

= 20 - 5

= 15 pages.

Then they complete 50% of the remaining pages afterschool, the pages left will be:

= 15 - (50% × 15)

= 15 - 7.5

= 7.5

They've 7.5 pages left.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Answer:

g = 8

Step-by-step explanation:

Hello!

We can solve for g by isolating the variable.

The value of g is 8.

Answer:

\( \sf \: g = 8\)

Step-by-step explanation:

Now we have to,

→ find the required value of g.

The equation is,

→ 2.8(g - 6) + 1.06 = 6.66

Then the value of g will be,

→ 2.8(g - 6) + 1.06 = 6.66

→ 2.8g - 16.8 = 6.66 - 1.06

→ 2.8g - 16.8 = 5.6

→ 2.8g = 5.6 + 16.8

→ g = (22.4)/(2.8)

→ [ g = 8 ]

Hence, the value of g is 8.

Answer:

56 degree

Step-by-step explanation:

90 - 34 = 56

Answer:

w = 56

Step-by-step explanation:

w + 34 = 90 (the angle is a right angle)

w = 90-34 = 56

The number of roots in the equation x² - 6x + 9 = 0 is two, ( x = 3 ) double roots.

A quadratic equation in its standard form is expressed as;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the quadratic equation in the question;

x² - 6x + 9 = 0

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

Plug a, b and c into the quadratic formula and solve for x.

x = ( -(-6) ±√((-6)² - 4×1×9 )) / (2×1)

x = ( 6 ±√(36 - 36 )) / (2×1)

x = ( 6 ±√(0 )) / (2)

x = ( 6 ± 0 )/ 2

x = (6-0/)2, x = (6+0)/2

x = 6/2, x = 6/2

x = 3, x = 3.

Therefore, the value of x is 3 ( double root ).

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

#SPJ1

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

the answer is m=1/2

Step-by-step explanation:

if my answer right or wrong tell me and plz a like and rate. THANK YOU

Answer:

the down payment is 22.0 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

3260

The exponential function that passes through the point (-1, 1/7) for the given interval is f(x) =  7ˣ.

To find the exponential function that passes through the points (-1, 1/7), we can use the general form of an exponential function, which is:

f(x) = aˣ

where;

First, we can use the given point (-1, 1/7) to find the value of "a". Substituting these values into the equation, we get:

1/7 = a⁻¹

To solve for "a", we can take the reciprocal of both sides of the equation and simplify:

7 = a

Now that we have found the value of "a", we can substitute it into the general form of the exponential function to get the specific function for this interval:

f(x) = 7ˣ

Learn more about exponential function here: https://brainly.com/question/2456547

#SPJ1

The complete question is below:

(-1, 1 / 7)

Find the exponential function f(x) = aˣ of this interval.

f(x) =

Using the probability concept, it is found that the experimental probability for the lowest frequency is \(\frac{3}{18}\).

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem:

Hence:

\(p = \frac{3}{18}\)

The experimental probability for the lowest frequency is \(\frac{3}{18}\).

You can learn more about the probability concept at https://brainly.com/question/15536019

The sample standard deviation weight of the 50 candies is, 0.07 grams.

The amount of variation or dispersion in a set of data values is measured by standard deviation. A statistical calculation is used to determine how far the values vary from the mean (average) value. While a high standard deviation suggests that the data values are more dispersed, a low standard deviation suggests that the data values tend to be close to the mean.

To find the sample standard deviation weight,

we can use the formula:

\(s = \sqrt{((1/(n-1))} \sum((x - \bar x)^{2} ))\)

where n is the sample size, x is the weight of each candy, \(\bar x\) is the sample mean weight, and sum() means to add up the values.

We can first find the sample mean weight:

\(\bar x\)= (0.98 + 0.85 + 0.92 + 0.98 + 0.71 + 0.88 + 0.86 + 0.75 + 0.85 + 0.85 + 0.86 + 0.78 + 0.75 + 0.75 + 0.74 + 0.82 + 0.85 + 0.91 + 0.78 + 0.72 + 0.81 + 0.81 + 0.81 + 0.84 + 0.87 + 0.85 + 0.89 + 0.77 + 0.85 + 0.97 + 0.74 + 0.89 + 0.82 + 0.86 + 0.82 + 0.84 + 0.91 + 0.87 + 0.94 + 0.85 + 0.71 + 0.83 + 0.87 + 0.94 + 0.81 + 0.81 + 0.78 + 0.77 + 0.85) / 50

\(\bar x\) = 0.8456

Next, we can calculate the sample standard deviation:

s = √((1/(50-1)) x ((0.98-0.8456)² + (0.85-0.8456)² + ... + (0.77-0.8456)² + (0.85-0.8456)²))

s = sqrt(0.0045916)

s = 0.0678

Rounding to two decimal places, the sample standard deviation weight is 0.07 grams.

To know more about standard deviation check:

#SPJ1

Answer:x=3.5 x 60

the answer is yes because when she's doing 3.5 hour, and she can do 420 square feet

The length of the rectangular room is 17 ft and the width is 10 ft.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that Carolina’s house has a rectangular floor plan. The areas of my rooms are 80 and 90 sq ft. and the total area is 170 sq ft.

The dimensions have 1 as common between them, let the width be 10 ft so the length of the total room will be calculated as,

Area = L x W

170 = L x 10

L = 170 / 10

L = 17 ft

The total length is 17 ft and the width is 10 ft.

To know more about the area of a rectangle follow

https://brainly.com/question/25292087

#SPJ1

Answer:

Step-by-step explanation:

Probability is defines as the likelihood or chance that an event will occur.

Probability = expected outcome of event/total outcome.

Since a single die with 9 sides was rolled, the total event outcome will be 9*9 = 81

Expected outcome will be the event that the sum of the two rolls equals 3. The possible outcomes are {(1,2), (2,1)}. The expected outcome is 2

Probability that the sum of the two rolls equals 3 = 2/81

The probability that the sum of the two rolls equals 3 is \(\dfrac{2}{81}\).

Important information:

We need to find the probability that the sum of the two rolls equals 3.

If a die with 9 sides is rolled twice, then the number of total possible outcomes is:

\(9\times 9=81\)

The sum of the two rolls equals 3, if we get 1, 2 and 2, 1. It means the number of favorable outcomes is 2.

\(P=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\)

\(P=\dfrac{2}{81}\)

Therefore, the probability that the sum of the two rolls equals 3 is \(\dfrac{2}{81}\).

Find out more about 'Probability' here:

https://brainly.com/question/6778390

Explanation

Given that the starting point for charging is 8.20 am and that it takes 3 hours and 45 minutes to charge before one can use it. Therefore,

Answer: 12: 05 PM

Answer:

226

Step-by-step explanation:

In the given picture,

Trapezoid PQRS has two points T and U as the midpoints of sides PS and RQ.

Segment TU joins the midpoints of the sides PS and RQ.

Mid-segment theorem states that "If a line joining midpoints of a trapezoid is parallel to the bases, length of this segment is half the sum of lengths of the bases."

Therefore, m(TU) =

7x - 26 =

7x - 26 = 6x + 10

7x - 6x = 26 + 10

x = 36

m(TU) = 7x - 26

         = 7(36) - 26

         = 252 - 26

         = 226

Therefore, Option (1) will be the answer.

Answer:

Brainliest?

Step-by-step explanation:

The amount after t years 40 millions tons  

Bit by bit clarification:  

Given as :  

The pace of abatement of carbon dioxide one another = 35%  

The amount of carbon dioxide radiated for this present year = 40 million tons  

Let the amount of carbon dioxide discharged after t year = A millions tons  

Presently, According to address  

The amount of carbon dioxide radiated after t year = The amount of carbon dioxide discharged for this present year ×  

Or on the other hand, A millions tons = 40 millions tons ×  

Or on the other hand, A millions tons = 40 millions tons ×  

Or on the other hand, A millions tons = 40 millions tons ×  

Or on the other hand, A millions tons = 40 millions tons ×  

So,The amount after t years = A = 40 millions tons  

Consequently The amount after t years 40 million

Answ

Step-by-step explanation:wirugf4

\(~~~~~37^x = 12\\\\\implies \ln\left( 37^x \right) = \ln(12)\\\\\implies x \ln (37) = \ln(12)\\\\\implies x = \dfrac{\ln(12)}{\ln(37)}\\\\\implies x \approx 0.689\)

The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

To know more about significant digits, visit:

https://brainly.com/question/1658998

#SPJ1

The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

To know more about significant digits, visit:

brainly.com/question/1658998

#SPJ1

Answer:

$42.95

Step-by-step explanation:

128.85 divided by 3 is 42.95.

each video game costed $42.95

hope this helps

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1