steps for 540 + 6x = 810

The given equation, 16x² - y² + 16z² = 4, represents a quadric surface known as an elliptic paraboloid.

To determine the classification, we can examine the coefficients of the squared terms. In this case, the coefficients of x², y², and z² are positive, indicating that the surface is bowl-shaped. Additionally, the signs of the coefficients are the same for x² and z², indicating that the bowl opens upward along the x and z directions.

The negative coefficient of y², on the other hand, means that the surface opens downward along the y direction. This creates a cross-section in the shape of an elliptical parabola.

Considering these characteristics, the given equation represents an elliptic paraboloid.

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Answer:

45°

Step-by-step explanation:

All of the angles in a triangle must add up to 180°.

This is a right triangle because of the presence of a right angle (denoted by the little box in the bottom left-hand corner). All right angles equal 90°.

You were given the value of another angle, 45°.

Therefore, the value of the final angle must be,

x + 90° + 45° = 180°

x + 135° = 180°

x = 45°

Answer:

bottom left choice

Step-by-step explanation:

use desmo lol. but u can just find the slope of each one and see if it is linear or not. here is the pic:

note: a1, a2, a3, a4 is the top left one, b1, b2, b3 is the top right, c1, c2, c3 is the bottom left.

hope it helps. maybe u have to visualize the graph by connecting the points

The inequality in the box has to be written as

x² + 2x - 80 ≤ - 65

We have

(10 + x)1 * (16-2x) ≥ 130

Next we would have to open the bracket

160 + 16x - 20x - 2x² ≥ 130

Then we would have to arrange the equation

- 2x² - 4x + 160 ≥ 130

Divide the equation by two

- x² - 2x + 80 ≥ 65

This is arranged as

x² + 2x - 80 ≤ - 65

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for c

8x

4

−2x

3

−27x

2

+6x+9=0

Let the roots be a,−a,b,c

S

1

=a−a+b+c=−

8

−2

=

4

1

b+c=

4

1

.....(i)

S

3

=−a

2

b−abc+abc−a

2

c=−

8

6

⇒a

2

(b+c)=

4

3

.....(ii)

dividing (i) by (ii)

⇒b+c=

4

1

......(iii)

S

4

=−a

2

bc=

8

9

⇒bc=−

8

3

....(iv)

substituting b from (iii) in (i)

b(

4

1

−b)=−

8

3

4

b−4b

2

=−

8

3

2b−8b

2

=3

8b

2

−2b−3=0

8b

2

+4b−6b−3=0

4b(2b+1)−3(2b+1)=0

(4b−3)(2b+1)=0

⇒b=

4

3

,−

2

1

substituing b in (iv)

⇒c=−

2

1

,

4

3

S

2

=a(−a)+(−a)(b)+bc+ca=

8

−27

⇒−a

2

−ab+bc+ac=

8

−27

The value of s

4

is not satisfied for b=−

2

1

So the roots of the equation are

3

,−

3

,

4

3

,−

2

1

Answer:

5.64 cm

Step-by-step explanation:

Required:How much more rain fell in Dubaku's town than in Elliot's town?

8 centimeters of rain fell in Dubaku's hometown

2.36 centimeters of rain fell in Elliot's hometown

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 cm.

Therefore, 5.64 cm of more rain fell in Dubaku's town than in Elliot's town.

Answer:

5.64

Step-by-step explanation:

Answer: B) 20.25

Step-by-step explanation:

22.5% = 0.225

22.5% of 90 = 0.225 * 90 = 20.25

Hope it helps and lmk if you need more info <3 :D

Answer:

B. 20.25

Step-by-step explanation:

22.5 percent *90 =

(22.5:100)*90 =

(22.5*90):100 =

2025:100 = 20.25

Answer:

0.00825814344701024621501758678697

Step-by-step explanation:

Use a calculator please<3

The percentage of customers who chose whole wheat bread with turkey are 19 %.

Given that:-

Percentage of customers who preferred white bread = 55 %

Percentage of customers who preferred turkey with white bread = 46 % of those who like white bread.

Percentage of customers who preferred ham with whole wheat bread = 55 %

We have to find the percentage of customers who chose whole wheat bread with turkey.

Let the total number of customers at the local sandwich shop be 100x.

Percentage of customers who preferred whole wheat bread = (100-55) % = 45 %

45 % of 100x = 45x.

Percentage of customers who preferred turkey with whole wheat bread = (100-58) % of 45x = 42 % of 45x.

42 % of 45x = 18.9x ≈ 19x.

19x is 19 % of 100x.

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Answer: The answer is A, 19%

Step-by-step explanation: I had the same question.

Answer:

Option C.

Step-by-step explanation:

We know that, for a value a > 1.

if b > c, then:

a^b > a^c

Now, this means that if we have two functions:

f(x) = x^n

g(x) = x^m

and m > n

then for large values of x, g(x) will be larger than f(x), because g(x) has a larger exponent.

now, is also true that:

f(x) = x^n

g(x) = n^x

for n > 1

For large values of x, g(x) will be larger than f(x), again, because for larger values of x g(x) will have a really large exponent, thus it grows really fast.

Then we can conclude that for the functions:

f(x) = 3*x

g(x) = 3*x^2

h(x) = 2^x

For a given value of x, h(x) will exceed the other two functions.

This can be seen in the graph below, where:

h(x) is purple, g(x) is blue, and f(x) is green.

We can see that eventually, h(x) exceeds the other two.

The correct option is C.

Answer:

90 cm2

Step-by-step explanation:

The figure consists of an inner rectangle with dimensions 8 by 10 and a right triangle on the bottom right with dimensions

base = 12 - 8 = 4 cm and height = 10 - 5 = 5 cm

Total area (A) is equal to the sum of the area of the rectangle and the right triangle, that is

area of rectangle = 10 × 8 = 80 cm²

area of triangle = 0.5 × 4 × 5 = 10 cm²

Hence

A = 80 cm² + 10 cm² = 90 cm² → B

The statement that It is sufficient to test an analogy by asking what are its relevant similarities is false.

Analogy refers to the process of comparison of two or more items such that it explains some idea, or classification or familiarity and representativeness. Studying the analogies helps in enhancing, strengthening and reinforcing the skills in areas such as reading comprehension, homophones, deductive reasoning and logic.

Testing an analogy only by relevant similarities will produce partial results which might not be suitable to fully explain the reason. Hence, both relevant similarities and differences are to be considered for more detailed review. Different kind of analogies used to explain the differences or similarities are synonym and antonym, symbol and reference, degree of differences.

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Answer:

y=2.75x+3

Step-by-step explanation:

$2.75 per sandwich (coefficient)

Solid $3 fee (y-intercept)

y=mx+b ---> y=2.75x+3

work: if I were to use a graph you can use a graphing calculator or the graph its self and find the coordinets.

C this the correct answer I believe

Answer:

B

Step-by-step explanation:

B

Prisms and pyramids are both polyhedrons, which means they are three-dimensional shapes with flat faces and straight edges. They both have a base (or bases) and sides that connect the base(s) to the top.

The main difference between prisms and pyramids is the shape of their bases and the number of faces. A prism has two identical bases that are parallel to each other and connected by rectangular or parallelogram faces. A pyramid, on the other hand, has one base and triangular faces that meet at a single point called the apex.

In summary, both prisms and pyramids are three-dimensional polyhedrons, but prisms have two parallel bases while pyramids have one base and an apex.

Answer:

Both prisms and pyramids are three-dimensional shapes. They both have a base and sides that connect the base to a vertex.

The main difference between prisms and pyramids is the shape of their base. Prisms have two parallel and congruent bases that are connected by rectangular or parallelogram-shaped sides. Pyramids have one base that can be any polygon shape, and the sides are triangular and meet at a single vertex.

Another difference is that prisms have a constant cross-section along their entire length, while pyramids have a varying cross-section.

Answer:

f

Step-by-step explanation:

f

Answer:

Step-by-step explanation:

\((3x+4)(x^2+px+5) \\=3x^3+3px^2+15x+4x^2+4px+20\\=3x^3+(3p+4)x^2+(15+4p)x +20\)

since we know that \(x^2\)  in this expansion is \(-23x^{2}\)

thus \(3p+4=-23\\3p=-27\\p=-9\)

Hope that helps!

The average population between year 1 and year 10 is approximately 55,555 people.

To find the average population between year X and year Y, we need to first calculate the total population increase over that time period. We can do this by subtracting the population in year X from the population in year Y.

Population increase = Population in year Y - Population in year X

Once we have the population increase, we can divide it by the number of years between X and Y to get the average annual population increase.

Average annual population increase = Population increase / (Y - X)

Finally, to find the average population between year X and year Y, we need to add the average annual population increase to the population in year X.

Average population = Population in year X + Average annual population increase

For example, if the population of a city is expected to be 100,000 people after 10 years, and we want to find the average population between year 1 and year 10, we would do the following:

Population in year 1 = X = 50,000 (let's say)
Population in year 10 = Y = 100,000
Population increase = 100,000 - 50,000 = 50,000
Number of years between X and Y = 10 - 1 = 9
Average annual population increase = 50,000 / 9 = 5,555.56 (rounded)
Average population = 50,000 + 5,555.56 = 55,555.56 (rounded)

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The average population of the city between the starting year and 10 years later is estimated to be 625,000.

The average population of a city between two specific years, we will need to use the formula for calculating the arithmetic mean.

The sum of all the values divided by the number of values.

We will need to sum up the populations of the city for each year between the two given years and divide the result by the number of years included.
Let us assume that the population of the city in the year we are starting with is "P1" and the population after "n" years is "P2".

Therefore, the average population can be calculated as:
\(Average Population = (P1 + P2) / 2\)
The exact population figures for each year between the two given years, we will have to use an estimated population growth rate to make the calculation.

We can use the formula:
\(P2 = P1 \times (1 + r)^n\)
where "r" is the estimated annual growth rate and "n" is the number of years between the two given years.
Let's assume that the population of the city in the starting year is 500,000 and the estimated population after 10 years is 750,000. Using the formula, we can calculate the estimated annual growth rate as:
\(r = (P2 / P1)^{(1/n)} - 1   = (750,000 / 500,000)^{(1/10)} - 1   = 0.0473 or 4.73\%\)
The estimated annual growth rate, we can calculate the average population between the two given years using the formula:
\(Average Population = (P1 + P2) / 2 = (500,000 + 750,000) / 2 = 625,000\)

It is important to note that this is just an estimate based on the assumed growth rate, and the actual population may vary from this calculation.

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Answer:11.4

Step-by-step explanation: Set up a proportion: \(\frac{15}{x}\)=\(\frac{5}{3.8}\)

To solve a proportion, multiply the numbers diagonal from each other, then divide by the last number. In this problem, we would multiply 15 and 3.8, which equals 57, then we would divide by 5. That is why the answer is 11.4.

hope this helps!

please give brainliest!

Answer:

2.4 < sqrt 2 +1<2.5

Step-by-step explanation:

You add one to both sides

the possible values of \($\sqrt{2} +1\) will be in range -  

2.4 < \($\sqrt{2} +1\) < 2.5.

We have the following statement -  1.4 < \($\sqrt{2}\) < 1.5.

We have to determine the possible values of -  \($\sqrt{2} + 1\).

The value of \($\sqrt{2}\) in decimals is 1.414.

According to the question, we have -

1.4 < \($\sqrt{2}\) < 1.5.

Now -

x = \($\sqrt{2} +1\) = 2.414

or we can write it as -

2.4 < \($\sqrt{2} +1\) < 2.5

Hence, the possible values of \($\sqrt{2} +1\) will be in range -  

2.4 < \($\sqrt{2} +1\) < 2.5.

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Answer:

Step-by-step explanation:

Sakal and Roy each have a sack of 50 apples.

All apples are either red or green.

Sakal = x

Roy = y

If Sakal has three times as many red apples as Roy does

x = 3y

and half as many green apples as Roy does,

x = 1/2y

how many red apples does Sakal have?

Answer:

should be 67 Step-by-step explanation:

Answer:

They are Vertical angles, and it is 67 degrees

Step-by-step explanation:

Answer:

im in 3rd grad

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

(-4,5)

(x,y)

yep.....

Answer:

Angle addition postulate

Correct choice is D

Midpoint is equidistant from the endpoints

Given points:

Use midpoint formula:

Point B is (-9, 11)

Answer:D

Step-by-step explanation: The graph of -f(x) is the graph of f(x) reflected over the y-axis.

Answer:

slope is 2

Step-by-step explanation:

the equation of linear is y=mx+b, where m is the slope

therefore, m=2 which means the slope is 2

Answer:the slope is 2

Step-by-step explanation:

the equation y=mx+b represents m as the slope.

Answer:

b

Step-by-step explanation:

the awnser is b