A building casts a shadow of 40 feet on the ground. A wooden figure of a man is placed on the building and casts a shadow an additional 10 feet beyond the building's shadow. What is the height of the man?\

Answer:

24.012

Step-by-step explanation:

y=kx^2

54=81k

k=54/81

k=0.667

y=kx^2

y=0.667×36

y=24.012

its false ik this because im one of the boyzz

Arturo receives $90 more in the first week of work than the second.

The time a person spends engaged in compensated work is referred to as working time.

Given,

First Week Working hours = 40 hours,    per hour rate = $12

The second-week working hours = 30,   per hour rate = $13 (With raise of $1)

Calculation of Wages

First Week wages = Total Weekly Hours ×  Per Hour rate

                                     = 40 × 12 =$480

Second Week wages = Total Weekly Hours ×  Per Hour rate

                                    = 30 × 13 =$390

The difference between the First week's wages and the Second week's wages is $90 ($480 - $390).      

Thus, Arturo earn $90 more in the first week as compared to the second week.

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Answer:

There isn't a photo

Step-by-step explanation:

There is no photo

An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal. The number of term 107 is 17th.

What is Arithmetic Sequence?

An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal.

a_n = a₁ + (n-1)r

where,

a_n is the nth term of the sequence,

a₁ is the first term of the sequence,

r is a common difference between every two terms.

Given the formula for the nth term of the arithmetic sequence is,

[tex]a_n = 11+6(n-1)[/tex]

Now, the number of term that 107 will be,

107 = 11 + 6(n-1)

96 = 6(n-1)

16 = n- 1

n =17

Hence, the number of term that 107 is 17.

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Answer:

B

Step-by-step explanation:

= (7x+1) • (8x)

= 56x^2 + 8x

Answer:

17cm Squared

Step-by-step explanation:

Get the area of the whole triangle, then the area of the white part. Then subtract the white from the whole area

Answer:

10(x + 30)

Step-by-step explanation:

10x + 300

Both terms have 10 in common, so you can factor out 10.

10x + 300 = 10(x + 30)

Answer:

Step-by-step explanation:

Using the Law of Cosines,

[tex]a^{2}=b^2 + c^2 - 2bc \cos A\\\\13^{2}=14^{2}+18^{2}-2(14)(18) \cos A\\\\-351=-504 \cos A\\\\\cos A=\frac{351}{504}\\\\A=\boxed{\cos^{-1} \left(\frac{351}{504} \right)}[/tex]

Answer:

i think the answer is the second one D and A

Answer:

The total money we have to pay is $69.

Step-by-step explanation:

MARKUP is the amount added to the cost price.

MARKUP formula = 100*profit / cost

Cost of the item = $60.00

put the value in the formula

15 = 100*profit/60

profit = 60 × 15 ÷ 100 = 9

the total money  is  cost + profit

which is 60 + 9 = $69.

So the total money we have to pay is $69.

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Answer:

x = 5 and 6

Step-by-step explanation:

1. Square both sides
x - 5 = (x - 5)(x - 5)
2. Simplify the right side
x - 5 = x^2 - 10x + 25
3. Add 5 to both sides
x = x^2 - 10x + 30
4. Subtract x from both sides
0 = x^2 - 11x + 30
5. Factor
0 = (x-5)(x-6)
x = 5,6

Answer:

x = 5 , x = 6

Step-by-step explanation:

[tex]\sqrt{x-5}[/tex] = x - 5 ( square both sides )

x - 5 = (x - 5)² ← expand using FOIL

x - 5 = x² - 10x + 25 ← subtract x - 5 from both sides

0 = x² - 11x + 30 ← in standard form

0 = (x - 5)(x - 6) ← in factored form

equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x - 6 = 0 ⇒ x = 6

As a check

substitute these values into the equation and if both sides are equal then these values are the solutions.

x = 5

left side = [tex]\sqrt{5-5}[/tex] = [tex]\sqrt{0}[/tex] = 0

right side = 5 - 5 = 0

then x = 5 is a solution

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

x = 6

left side = [tex]\sqrt{6-5}[/tex] = [tex]\sqrt{1}[/tex] = 1

right side = 6 - 5 = 1

then x = 6 is a solution

Answer:

10k.

Step-by-step explanation:

1) if for the 1st position can be used 0-9 digits (10 digits), for the 2d - 0-9 digits, for the 3d - 0-9 digits and for the 4th - 0-9 digits, then

2) the required number of pwd is: 10*10*10*10=10⁴=10000.

Answer:

3x* 2x^2 +3x*5 -2 * 2x^2  -2 *5

Step-by-step explanation:

(3x-2)(2x^2+5)

We can FOIL to find the expansion

First 3x* 2x^2 = 6x^3

Outer 3x*5 = 15x

Inner -2 * 2x^2 = -4x^2

Last -2 *5 = -10

Add all the terms together

3x* 2x^2 +3x*5 -2 * 2x^2  -2 *5

Answer:

3x • 2x^2 + 3x • 5 + (–2) • 2x^2 + (–2) • 5

Step-by-step explanation:

other answer was right

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \sqrt{ {( - 4 - 2)}^{2} + {(2 - ( - 1))}^{2} } = \sqrt{45} = 3 \sqrt{5} [/tex]

A function assigns the values. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

For the given graph, the value of f(0) means the value of function when the value of x is 0. Thus, when the graph intersect with the x-axis is the value of f(0), therefore,the values of f(0) are -2, -1, 1, and 3 only.

Hence, the correct option is C.

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Answer:

A = ( -2, 1 )

B = ( 1, -1 )

[tex]\boxed{\bf x_1 : - 2}[/tex] [tex]\boxed{\bf x_2 : 1}[/tex]

[tex]\boxed{\bf y_1 : 1}[/tex] [tex]\boxed{\bf y_2 : - 1}[/tex]

______________________________

______________________________

Both functions are increasing, but function g increases at a faster average rate.

The correct option is (C)

If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.

let f(x) = [tex]ab^{x} +c[/tex] and x=0 , f(0)= -10

-10=a+c

Now,

f(x) = -33/5*[tex](\frac{1}{11} )^{x}[/tex] - 17/5

f '(x)>0

So, x is increasing function.

g(x) = -18/3*[tex](\frac{1}{11} )^{x}[/tex] +2

g'(x) =-18[tex](\frac{1}{3} )^{x}[/tex]ln(1/3)

ln 1/3<0

So, g'(x)>0

So, g(x) is an increasing function.

For any x ∈ f(x) and x ∈ g(x)

Since, g increases at a faster rate.

Hence, Both functions are increasing, but function g increases at a faster.

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Answer:

[tex]\large{\boxed{35_{10} = \sf 23_{16}}}[/tex]

Explanation:

[tex]\sf Given : 35_{10}[/tex]

Compute:

35 ÷ 16 = 2.1875 = 2R3

2 ÷ 16 = 0.125 = 0R2

Jot down the remainders:

======

[tex]\sf Answer : \ 35_{10} = 23_{16}[/tex]

[tex]\hrulefill[/tex]

Let's look at another example:  [tex]\sf 325_{10} = [?]_{16}[/tex]

Compute:

325 ÷ 16 = 20.3125 = 20R5

20 ÷ 16 = 1.25 = 1R4

1 ÷ 16 = 0.0625 = 0R1

Jot down remainders:

=====

[tex]\sf 325_{10} = [145]_{16}[/tex]

[tex]\hrulefill[/tex]

Another example: [tex]\sf 500_{10} = [?]_{15}[/tex]

Compute:

500 ÷ 15 = 33.33... = 33R5

33 ÷ 15 = 2.2 = 2R3

2 ÷ 15 = 0.13... = 0R2

Jot down remainders:

=====

[tex]\sf 500_{10} = [235]_{15}[/tex]

This is general conversation of decimal integer to hexadecimal integer

Let's check

This is in decimal form

We know the ways to convert decimal into other forms like

For third way

(2)_16 is one part

Next

3 is not divisible by 16

i.e

Hence

other part is (3)_16

Add (not general addition)

The final answer is

The method for calculating how many arrangements are feasible when only a few items are chosen from a collection of items that are unique is as follows:

[tex]^nC_k=\frac{n!}{k!(n-k)!}[/tex]

Where:

n – the sum of all the elements of a set

k – the number of selected objects (the order of the object may change)

! – factorial

For instance, 3!=1×2×3

So, according to the problem, there are [tex]^7C_3[/tex] possible groups of 3 women out of 7 women. And [tex]^5C_2[/tex] possible groups of 2 men out of 5 men.

Combining we get that there are [tex]^7C_3 ~^5C2[/tex] groups of 3 women and 2 men out of 7 women and 5 men.

Therefore, there are [tex]^7C_3 ~^5C2=\frac{7!}{3!4!}\frac{5!}{2!3!}= 350[/tex] possibilities.

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answer:

Now I know My ABC next time won't you sing with me.

The function g(x) is derived by translating the function by the three units, according to the graph.The equation for the red graph will be,g(x) = x²+3

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

From the graph, it is obtained that the function g(x) is obtained by translating the function by the three units.

Hence,the equation for the red graph will be,g(x) = x²+3

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Answer: 98.5

Step-by-step explanation:

There were 942 people in total, 928 of which recognized Exxon.

So, the probability is 928/942, which is about 98.5%

The probability of random consumers knowing of exon will be 98.5%.

Probability helps us to know the chances of an event occurring.

[tex]P =\dfrac{Desired \ Outcomes}{Possible outcomes}[/tex]

Given that:-

The probability will be calculated as:-

Total consumers are 942 out of which 928 knew exon and 14 did not.

P = 928 / 942

P = 0.985

P = 98.5%

Therefore the probability of random consumers knowing of exon will be 98.5%.

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Answer:

Rectilíneo generalmente indica una figura representativa de hacer una línea recta oa lo largo de una línea recta o en una línea recta. En términos matemáticos, es una figura plana delimitada por segmentos de línea. En otras palabras, una figura plana totalmente compuesta de segmentos de línea se conoce como figura rectilínea. Ahora bien, si te preguntas ¿qué es una figura plana? Entonces, sepa que cuando ponemos la punta de un lápiz en una hoja de papel y nos movemos de un punto a otro, sin levantar el lápiz, entonces las formas que se forman son lo que llamamos curvas planas.

The total number of cups in the package is 2300.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Here,

Let the total number of cups in the package be x.

Number of green cup = 690

Weightage of green cup in total = 30%

Now,

30% of x = 690

30/100 X x = 690

x = 690 X 100/30

x = 23 X 100

x = 2300

Thus, the total number of cups in the package is 2300.

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Answer:

divide both sides by 3

Step-by-step explanation:

Solving the equation means to have y alone on the left side equaling a number.

Since the variable y is being multiplied by 3, the next step is to do the opposite operation to "multiplying by 3" which is "dividing by 3." Since the rule in algebra is that you must do the same operation to both sides of an equation, the next step is:

divide both sides by 3

Answer: 0.5m

Hope this helps!

Answer + Step-by-step explanation:

Answer is in this link:

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