complete the following proof. Some answers may be used more than once

Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

Answer:

Simply search for surface area formula for pyramid on goole and plug the numbers into the formula!! Thank you so much!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

send me 5$ on cash*app and i gotchu bro

Step-by-step explanation:

From the quadratic equation, we found the new dimensions:

Length =  14.85 feet

Width = 18.85 feet.

What is a quadratic equation?

The polynomial equations of degree two in one variable of type

f(x) = ax² + bx + c = 0 and with a, b, c, ∈ R and a ≠ 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of

f (x).

The current dimensions of the farm are 10 feet by 14 feet.

Length l = 10 feet

Width w = 14 feet

Area a = l * w = 10 * 14 = 140 sq. feet.

Now the new area is doubled.

A = 2a = 2 * 140 = 280 sq.feet

The new dimensions are:

L = l + x = 10 + x

W = w + x = 14 +x

A = (10+x)(14+x)

280 = 140 + 10x + 14x + x²

x² + 24x - 140 = 0

This is a quadratic equation.

Solving the equation, we get

x = 4.85, -28.85

Neglecting the negative value, we get the value of x as 4.85.

Therefore from the quadratic equation, we found the new dimensions:

L = 10 + 4.85 = 14.85 feet

W = 14 + x = 14 + 4.85 = 18.85 feet.

To learn more about quadratic equations, follow the link.

https://brainly.com/question/1214333

#SPJ1

Hey there! :)

Answer:

4√3 in.

Step-by-step explanation:

Given:

-Equilateral triangle

-Side lengths of 8 in

Find the altitude using the Pythagorean Theorem (c² = a² + b²) where:

'a' is the shorter leg, or half of the base to find the altitude

'b' is the altitude

'c' is the Hypotenuse, or 8 in.

Therefore:

8² = 4² + b²

64 = 16 + b²

48 = b²

b = √48 or 4√3 in.

Therefore, the altitude of the triangle is 4√3 in.

Answer:12

Step-by-step explanation:I did the math

Answer:

3/7

Step-by-step explanation:

7-4=3

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

Slope m = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

Answer:

20%

Step-by-step explanation:

Probability of ordering large

= 5/(8 + 12 + 5) = 5/25 = 1/5

= 1/5 *100 = 20%

Answer:

5%

Step-by-step explanation:

Total outcome is 100

Favorable outcome is 5

The probability that a customer ordered a large cold drink is

\(\frac{5}{100}\) = \(\frac{1}{20}\) = 5%

the area of the region of points satisfying the inequalities x ≤ 0, y ≤ 0, and y ≥ |x + 4| − 5 is 12.5 square units.

Answer:

Step-by-step explanation:

Mean μ = 36

standard deviation σ = 10

n = 16

standard deviation of the group σ₁ = σ / √n

σ₁ = 10/ √16

= 10 / 4 = 2.5

σ₁  = 2.5

P ( x > 35 ) = 1 - P ( x < 35 )

P ( x < 35 ) = P( z < (35 - 36) / 2.5 ) = P( z < (35 - 36) / 2.5 )

= P( z < 0.4  )

= .3446

P ( x > 35 ) = 1 - .3446

= .6554 .

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

Learn more about the conditional relative frequency here:

brainly.com/question/8358304

#SPJ1

Answer:

11/10

Step-by-step explanation:

you can't reduce

The per capita emissions for each country is:

Using this formula to find the  Per capita emissions for each country

Per capita emissions = C02 Emission (tons of carbon dioxide ) /  Total emissions by population

China

Per capita emissions =8,782,000,000/1,359,750,000

Per capita emissions = 6.46

United States

Per capita emissions =5,144,000,000/316,597,000

Per capita emissions= 16.25

India

Per capita emissions = 2,185,000,000 /1,233,460,000

Per capita emissions = 1.77

Russia

Per capita emissions=1,646,000,000/143,400,000

Per capita emissions = 11.48

Japan

Per capita emissions = 1,232,000,000/127,310,000

Per capita emissions = 9.68

Germany

Per capita emissions = 733,000,000/80,523,700

Per capita emissions = 9.10

Iran

Per capita emissions = 583,000,000/76,876,000

Per capita emissions = 7.58

South Korea

Per capita emissions = 576,000,000/50,219,669

Per capita emissions = 11.47

Indonesia

Per capita emissions = 535,000,000/237,641,326

Per capita emissions = 2.25

Canada

Per capita emissions = 528,000,000/35,141,542

Per capita emissions =15.02

Therefore China per capita emissions is 6.46.

Learn more about  per capita emissions here:https://brainly.com/question/27900238

#SPJ1

Answer:

54.9381 square inches

Step-by-step explanation:

Find the areas of both the square box and the circular pizza.

The equation for the area of a square is A = s^2. (or A = lw)

A = 16^2 = 256 square inches

The equation for the area of a circle is A = πr^2.

A = π(8^2) = 64π = 201.0619 square inches

Now subtract the areas.

256 - 201.0619 = 54.9381 square inches

9514 1404 393

Answer:

  400%

Step-by-step explanation:

Suppose sales in 1954 were 500. Then 80% of that amount is 400. A drop of 400 puts sales in 1955 at 500 -400 = 100.

The increase back to 500 in 1956 is an increase of 400 from a base of 100. As a percentage increase, that is ...

  400/100 × 100% = 400% . . . . increase from 1955 to 1956

Answer:

There are 4^5 ways to answer 5 multiple choice questions.

Step-by-step explanation:

The domain is the set of all values in the set (- ∞, ∞).

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a quadratic function as follows -

ax² + bx + c

For any quadratic equation (with vertex at origin), the value of [y] or the range is either the set of all positive values from 0 to infinity when the quadratic function open upwards and  the set of all negative values from 0 to -infinity when the quadratic function open downwards. The domain is the set of all values in the set (- ∞, ∞).

Therefore, the domain is the set of all values in the set (- ∞, ∞).

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

{Question in english language is as follows -

How the domain of the quadratic function is determined.}

Answer:

duh

Step-by-step explanation:

Step-by-step explanation:

rain volumes (cm cubedcm3) of 50 brains vary from a low of 904 cm cubedcm3 to a high of 1502 cm cubedcm3. Use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 171.5 cm cubedcm3, assuming the estimate is accurate if it is within 15 cm cubedcm3.

1502 - 904 = 598 / 4 = 149.5

Compare the result to the exact standard deviation.

the approximation is not accurate because the error of the range rule of thumb's approximation is greater than 15...

Significantly low values are...

(mean) - 2 * (standard deviation)

The adult male foot length is 24.3 cm, it falls below the lower limit (24.65 cm).

Therefore, the foot length of 24.3 cm is significantly low according to the range rule of thumb.

The range rule of thumb states that in a normally distributed dataset, we can identify significant values by considering values that fall within approximately two standard deviations from the mean.

Values that are significantly low are typically below the lower limit, and values that are significantly high are typically above the upper limit.

To find the limits, we'll use the mean and standard deviation given:

Mean (μ) = 26.89 cm

Standard Deviation (σ) = 1.12 cm

Lower Limit (significantly low values):

Lower Limit = Mean - (2 * Standard Deviation)

Lower Limit = 26.89 cm - (2 * 1.12 cm)

Lower Limit = 26.89 cm - 2.24 cm

Lower Limit = 24.65 cm

Upper Limit (significantly high values):

Upper Limit = Mean + (2 * Standard Deviation)

Upper Limit = 26.89 cm + (2 * 1.12 cm)

Upper Limit = 26.89 cm + 2.24 cm

Upper Limit = 29.13 cm

Now we have the lower limit and the upper limit:

Significantly low values are 24.65 cm or lower.

Significantly high values are 29.13 cm or higher.

Given that the adult male foot length is 24.3 cm, it falls below the lower limit (24.65 cm).

Therefore, the foot length of 24.3 cm is significantly low according to the range rule of thumb.

learn more on range rule :

https://brainly.com/question/33127831

#SPJ7

Answer:

Hey there!

4a^2-20a+25 can be factored to (2a-5)(2a-5). Thus, the side length of the square is 2a-5. Basically, we want to find two of the same binomials that can multiply to get 4a^2-20a+25. For example, 2a times 2a = 4a^2, and you can use the foil method to solve for the rest.

4a^2 - 20a +25

(2a)^2 - 20a + (-5)^2

(2a - 5)^2

(9a2 − 16b2) is just a difference of squares, and can be factored to (3a+4b) and (3a-4b). The difference of squares formula can give us this.

Let me know if this helps :)

Answer:

Step-by-step explanation:

Part A

\(4a^{2} -20a+25\\\\=(2a)^2-2(5)(2a)+5^2\)

does that seems familiar?

it's because it's a perfect square that can be factorized as

\((2a-5)^2\)

so the length of each side is

2a-5 both of them

Part B

\(9a^2-16b^2\)

\((3a)^2-(4b)^2\)

that's a difference of squares you know \(x^2-y^2=(x-y)(x+y)\)

so

\((3a-4b)(3a+4b)\)

so the lengths are

3a-4b and 3a+4b

Answer:

it would be within the range of $0.77 <x< $0.78

Following the pattern, the most likely next step in the series is given by the pentagon in option B.

We have to look at the number of points in each figure, hence:

Hence, the number of points increases by one for each figure, meaning that in the next step, the figure should have 5 points, representing a pentagon.

Among the options given for the answer, only one, option B, has 5 points, with the pentagon, as:

Hence, the most likely next step in the series is given by the pentagon in option B.

More can be learned about patterns at https://brainly.com/question/27033681

#SPJ1

Answer:

Step-by-step explanation:

y intercept for top is 0,4 and the line should go up by 3 lines and over by 1 everytime

y intercept for below is 0,2 and the line should go up by 1 line and over by 1 line everytime.

PART A: Linda has $4.41 more than Enrique after one year.

PART B: Enrique has $12.10 more than Linda after the second year.

PART A: After one year, we can calculate the amount of money each person has in their respective accounts.

For Linda's account:

Principal amount = $610

Interest rate = 1.2%

\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)

\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)

For Enrique's account:

Principal amount = $590

Interest rate = 3.9%

\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)

Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91

Comparing the two amounts, after one year Linda has more money.

The difference in the amount is:

$617.32 - $612.91 = $4.41

Therefore, Linda has $4.41 more than Enrique after one year.

PART B: After a second year, we need to calculate the amounts again.

For Linda's account:

Principal amount = $617.32

Interest rate = 1.2%

\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)

Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73

For Enrique's account:

Principal amount = $612.91

Interest rate = 3.9%

\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)

Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83

Comparing the two amounts, after the second year Enrique has more money.

The difference in the amount is:

$636.83 - $624.73 = $12.10

For similar question on Principal amount.

https://brainly.com/question/29430095

#SPJ11

Answer:15. C

16. D

17.B

18.A

Step-by-step explanation: