On a construction project, you estimate a total of 80 hours of labor. You will work 40 of the hours . Assistant A will work 25hours and assistant B will work the remaining hours . You earn $22 per hour. Assistant A $15 per hour . assistant B earns

Answer:

Step-by-step explanation:

Use the similarity of two triangles.

The ratio of corresponding sides is equal.

Let the height of the tree is x, then we have:

Answer:

12.68 m  (nearest hundredth)

Step-by-step explanation:

Similar Triangle Theorem

If two triangles are similar, the ratio of their corresponding sides is equal.

Smaller triangle

Larger triangle

Ratio of height to base:

\(\implies \sf height_{small}:base_{small}=height_{large}:base_{large}\)

\(\implies \sf 1.85:4.15=h:28.45\)

\(\implies \sf \dfrac{1.85}{4.15}=\dfrac{h}{28.45}\)

\(\implies \sf h= \dfrac{1.85}{4.15} \cdot 28.45\)

\(\implies \sf h=12.68\:m \:\:(nearest\:hundredth)\)

Therefore, the height of the tree to the nearest hundredth of a meter is 12.68 m.

The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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The area of the sector is approximately 9.25 ft².

We have,

The formula for the area of a sector.

A = (θ/360°) × πr²

where A is the area of the sector, θ is the central angle in degrees, and r is the radius.

Substituting the given values.

A = (40°/360°) × 3.14 × (16.7 ft)²

A = 0.1111 × 3.14 × 278.89 ft²

A = 9.2465 ft²

Rounding to the nearest hundredth.

A ≈ 9.25 ft²

Therefore,

The area of the sector is approximately 9.25 ft².

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Answer:

26 meters

Step-by-step explanation:

To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

can you write it in a clearer way

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be total cost is $504 for 9 bags.

Once the amount of a small slice has been determined, multiply the amount by two to finish a task using the unitary strategy. To put it simply, the unit technique works to separate a programmed object from a particular collection or sets of sets. 40 pens, for instance, cost 100 lbs ($1.01) or Rs. The method used to accomplish this may be completely under the authority of one nation. Almost every living thing has a distinguishing trait. It may assimilate and reciprocate both equally (mathematics, algebra).

Here,

Given :

7 bags of mulch worth $392

To find the cost of 9 bags.

So ,

the cost of one bag is :

=> one bag cost = 392/7

=> one bag cost = 56

The cost of 9 bags is:

=> 56* 9

=> 504

Thus , total cost is $504 for 9 bags.

Therefore , the solution of the given problem of unitary method comes out to be total cost is $504 for 9 bags.

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Answer:

Step-by-step explanation:

z=6

Answer:

651

Step-by-step explanation:

f(x) = 5×3 + 2×2

35x

14

= 5×3 = 15

= 2×2 = 4

= 15 + 4

= 19

35(19) - 14

= 665 - 14

= 651

The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Part 1:

To construct a 99% confidence interval for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

where the margin of error is determined by the level of confidence and the standard error.

First, let's calculate the sample proportion:

Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)

Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)

Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)

Now, we can calculate the margin of error:

Margin of Error = Critical Value * Standard Error

The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).

Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)

Finally, we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.5066 ± 0.0350

Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)

Part 2:

The correct interpretation is:

C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.

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A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

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Answer:

23

Step-by-step explanation:

We would be using conversion rates and dimensional analysis to solve this question.

The average weight of the chimpanzee in pounds is 114.73 lb

Step 1: 1 kg = 1000 g

Convert 52 kg to grams

1 kg = 1000g

52 kg = ?

Cross Multiply

52 kg x 1000g / 1 kg

= 52,000g

Step 2: Convert from grams to ounce

1 gram = 0.0353 ounce

52,000 g = ?

Cross Multiply

52,000g x 0.0353

= 1,835.60 ounces

Step 3: Convert from 0unces to pounds

16 oz = 1 lb

1835.6 = ?

Cross Multiply

1835.6 oz x 1 lb / 16

= 114.73 lb

Step 4: Using Dimensional analysis:

52 kg x  1000g/1 kg  x  0.0353 oz/ 1 gram  x  1 lb/16 0z  

= 114.73 lb

Therefore, the average weight of the chimpanzee in pounds is 114.73 lb.

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Step-by-step explanation:

\( \frac{x + 6}{ x} = \frac{5}{2} \)

Then collect like terms

answer is x = 4

Answer:

x = 4

Step-by-step explanation:

x + 6/x = 5/2

2(x + 6) = 5(x)

2x + 12 = 5x

12 = 5x - 2x

12 = 3x

12/3 = x

4 = x

Hence,

Value of x is 4

Answer:

Step-by-step explanation:

Explanation:

As you know, each electron that's part of an atom has its own unique set of four quantum numbers that describes its position and spin.

This means that looking for the number of unique sets of quantum numbers is equivalent to looking for the number of electrons that can occupy the third energy level.

As you know, the number of orbitals you get per energy level is given by the equation

no. of orbitals

=

n

2

, where

n

- the principal quantum number, the ones that gives the energy level.

So, if you're dealing with the third energy level, you can say that it will contain a total of

no. of orbitals

=

3

2

=

9

distinct orbitals.

Now, each orbital can contain a maximum of

2

electrons of opposite spins. This means that the third energy level will contain a maximum number of

no. of electron

=

9

⋅

2

=

18 e

−

So, if each electron is described by an unique set of quantum numbers, you can conclude that

18

sets of quantum numbers are possible for the third energy level.

ok maybe that will help!

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.

The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.

A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.

There are many types of mathematical function, including:

The amount that Autumn saved = $500

The amount that Autumn adds to the savings = $0

Let the number of periods that Autumn saves the above amount = x

G(x) = 500 + 0x

Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.

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Answer:

8

Step-by-step explanation:

The square of a number square rooted is the number itself.

Answer:

The answer is D

Step-by-step explanation:

my brain is very large

Answer:

5,6,7 because they are in line with the letter

9514 1404 393

Answer:

  -3/2

Step-by-step explanation:

Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...

  slope = rise/run = (change in y)/(change in x)

  slope = -3/2

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

--------------------------------------------------

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

----------------------------------------------------

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

-------------------------------------------------

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

--------------------------------------------------

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer:

D. y – 270 = 45(x – 2) ; $450

Step-by-step explanation:

GradPoint answer

I got it correct on the quiz.

Answer:

(-3+5i)(1)=-3+5i

Step-by-step explanation:

The multiplicative identity is given by :

\(a\times 1=a\)

Where

a can be any number

Out of 4 options, in option (2), (-3+5i) is multiplied by 1 and after multiplying we get (-3+5i).

Hence, the correct option is (b).