A flagpole casts a shadow 22 feet long. If a man 6 feet tall cast a shadow 4.3 feet long at the same time, how tall is the flagpole? Please explain your answer.

The features of the function g(x) = 4log(x) + 4 are

The function is given as;

g(x) = 4log(x) + 4

The intercept

A logarithmic function has no y-intercept.

Set g(x) to 0, to determine the x-intercept

4log(x) + 4 = 0

Divide through by 4

log(x) + 1 = 0

This gives

log(x) = -1

Take the inverse of both sides

x = 10^-1

Evaluate

x = 0.1

The x-intercept is (0.1, 0)

The vertical asymptote

Recall that:

A logarithmic function has no y-intercept.

This is so because it is undefined at x = 0

So, the vertical asymptote is x = 0

The domain and the range

A logarithmic function cannot take a negative input or 0 input

So, the domain is x > 0

However, the range is all set of real numbers i.e (-∞, ∞)

Hence, the features of g(x) are (b), (d) and (e)

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The fourth root of ⁴√(81x³y⁴z⁸)with rational exponents is [tex]3x^{\frac{3}{4} }yz^{2}[/tex]

To find the fourth root of ⁴√(81x³y⁴z⁸) with rational exponents, we use the root rule of indices which states that [tex]\sqrt[n]{a} = a^{\frac{1}{n} }[/tex]

So, ⁴√(81x³y⁴z⁸) = ⁴√(81 × ⁴√x³ × ⁴√y⁴ × ⁴√z⁸)

We now apply the

So, ⁴√(81x³y⁴z⁸) = ⁴√81 × ⁴√x³ × ⁴√y⁴ × ⁴√z⁸

[tex]= 3 X x^{\frac{3}{4} } X y^{\frac{4}{4} } X z^{\frac{8}{4} } \\= 3 X x^{\frac{3}{4} } X y^{1} X z^{2} \\= 3x^{\frac{3}{4} }yz^{2}[/tex]

So, the fourth root of ⁴√(81x³y⁴z⁸)with rational exponents is [tex]3x^{\frac{3}{4} }yz^{2}[/tex]

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Answer:

x = 6

Step-by-step explanation:

Line segment SU is a bisector of angle <TSV which means it divided the angle into two equal parts:

The measure of <TSV = 62 in this case the measure of <VSU = 62/2 = 31

we can write the following equation to find the value of x

5x + 1 = 31 subtract 1 from both sides

5x = 30 divide both sides by 5

x = 6

Answer:

Step-by-step explanation:

2.5 miles = 12 fishes

Therefore,

8 miles = 12*8/2.5=96/2.5= 960/25=38.4 fishes

Answer:

Hence the expression [tex]$$(5x-y)(x-4)=5x^2-xy-20x+4y$$[/tex]

Step-by-step explanation:

Explanation

[tex]$$\begin{matrix}{} & {} & {} & {} & 5x & - & y \\ \times & {} & {} & {} & x & - & 4 \\ \end{matrix}$$[/tex]

_________________

[tex]$$\begin{matrix}{} & {} & {} & - & 20x & + & 4y \\ 5{{x}^2} & - & xy & {} & {} & {} & {} \\ \end{matrix}$$[/tex]

_________________

[tex]$$\begin{matrix}5{{x}^2} & - & xy & - & 20x & + & 4y \\ \end{matrix}$$[/tex]

Answer: 70%

Step-by-step explanation:

A basket contains:

5 yellow balls

3 blue balls

2 white balls

What would be the probability of randomly picking a ball and the ball not being blue?

So, we can find the probability of picking up a blue ball. Let's do that first.

To calculate the probability of getting a blue ball, we need to divide the number of blue balls by the number of possible balls.

The number of blue balls = 3

The total number of balls = 2 + 3 + 5 = 10 balls

3 blue balls divided by 10 balls = 0.3.

If you multiply 0.3 by 100%, it will give you a probability of finding a blue ball equal to 30%

Now, we just need to find the probability of NOT finding a blue ball. Because we have 30% of finding a blue ball, we just need to subtract 30% from 100%.

100 - 30$ = 70%

The probability of not getting a blue ball is equal to 70%.

Hope I Helped!

[tex]|\Omega|=5+3+2=10\\|A|=5+2=7\\\\P(A)=\dfrac{7}{10}=70\%[/tex]

Step-by-step explanation:

t = .25u        (given)

4 t = 4 (.25u)  = u

then u = 50% of 2 u

Answer:

its dependent varaible

Answer:

Step-by-step explanation:

NOW WATSH ME WIP WAHS E NYA NAY

The equation that represents the relationship between the estimated number of hours of labor and the actual number of hours of labor is D. -8≤a-h≤8.

From the information given, the estimate includes h hours of labor, where h>80 and the company's goal is for the estimate to be within 8 hours of the actual number of hours of labor.

Here, the equation that represents the relationship between the estimated number of hours of labor and the actual number of hours of labor is -8≤a-h≤8.

In conclusion, the correct option is D.

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Answer

$30 minutes per hour

$0.5 per minute

Step-by-step explanation:

45/1.5=30

45/90=0.5

Answer:

Using a phone to drive people to web-based survey instruments is known as a hybrid survey.

Answer:

c) Oa^2 = c^2-b^2

Step-by-step explanation:

the formula of finding hypotenuse (c) is

c^2 = a^2 + b^2

that means c^2 - b^2 = a^2

a^2 = c^2 - b^2.

The value of b and  c is 4 and 7.

Algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.

Elementary algebra: elementary algebra, branch of mathematics that deals with the general properties of numbers and the relations between them. Algebra is fundamental not only to all further mathematics and statistics but to the natural sciences, computer science, economics, and business.

From the given question,

[tex]\sqrt[4]{15^7}[/tex] This expression can also be written in the form of [tex]a^\frac{b}{c}[/tex]

We will convert [tex]\sqrt[4]{15^7}[/tex] to the required form:

[tex](15^\frac{7c}{4b} )\left \{ {{a=15^\frac{7c}{4b} } \atop {b=b} , c = c} \right.[/tex]

Hence,

From the above equation we get the value of b and c is 4 and 7.

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The translation function is T(x,y) = (x + 3, y - 2) and the reflection function is (-x, y)

The point is given as:

(x, y)

The translation is given as:

3 units to the right and 2 units down.

This is represented as:

(x + 3, y - 2)

Hence, the translation function is T(x,y) = (x + 3, y - 2)

The point is given as:

(x, y)

The reflection is given as:

Reflection across the y-axis

This is represented as:

(-x, y)

Hence, the  reflection function is (-x, y)

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Answer:

319

Step-by-step explanation:

i am really not sure but i believe so i hope it is the right answer

Answer:

1600 people

Step-by-step explanation:

This is a ratio problem. We can set up the proportion by letting x be the number of people who applied for admission:

[tex]\frac{4}{10}=\frac{640}{x}[/tex]

Since we know that 4 people get in for every 10 people that apply, we can set up an equation like the one above and solve for x by cross multiplying:

[tex]6400=4x\\x=1600[/tex]

This means that 1600 people applied for admission to the vocational school.

According to multiplication you can use repeated addition to get the same product of the given equation.

Ex: 5x2= 2+2+2+2+2 ( 5 groups of 2)

Both will give you same answer (10).

Hence 2 x 3/4 = 3/4 + 3/4

Answer:

2 x 3/4 = 3/4 + 3/4

Step-by-step explanation:

Por lo tanto el número es p/q = 8/64.

Fracción es un número que se puede representar en forma de p/q, donde q no es igual a cero.

It is given that :

En su forma más simple, el número es 1/8

Sea el número p/q

p + q = 72 (dado)

p/q = 1/8

q = 8p

p+8p = 72

9p = 72

p = 8

q = 8p

q = 8 * 8 = 64

Por lo tanto el número es p/q = 8/64.

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The distribution where the mean is most likely to be less than the median is the third histogram.

It should be noted that when the histogram shows the day is left skewed, it means the mean is less than the median.

If it right skewed, the mean is greater than the median.

When they're equal, the data is symmetric.

In this case, based on the information, the distribution where the mean is most likely to be less than the median is the third histogram.

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To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.

For this triangle, we will need to know the formula to find the area of a triangle:

[tex]A=\dfrac{1}{2}bh[/tex]

The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:

[tex]A=\dfrac{1}{2}bh[/tex]

⇒ Plug in the values given for the base and height:

[tex]A=\dfrac{1}{2}(5)(2+4+6)\\\\A=\dfrac{1}{2}(5)(12)\\\\A=(5)(6)\\\\A=30 mm^2[/tex]

[tex]A=\dfrac{1}{2}bh[/tex]

⇒ Plug in the values given for the base and height:

[tex]A=\dfrac{1}{2}(3)(4)\\\\A=(3)(2)\\\\A=6mm^2[/tex]

[tex]30 mm^2-6mm^2\\=24mm^2[/tex]

The area of the shaded region is [tex]24mm^2[/tex].

The conditional and its converse that form a true biconditional is; Option A;  If x = 19, then 2x – 3 = 35.

A) If x = 19, then 2x – 3 = 35.

Thus, 2(19) - 3 = 35. Thus, this is a true biconditional.

B) If x = 3, then x²= 9.

This is not a true biconditional because x could also be -3.

C) If x² = 4, then x = 2

This is not a true biconditional because x could also be -2.

D) If x > 0, then |x| > 0.

This is not a true biconditional because x could also be negative which less than zero.

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Answer:

120 Phones

Step-by-step explanation:

3/5 of 200

Step 1: Divide 200 by 5

200 ÷ 5 = 40

Step 2: Multiply 40 by 3

40 · 3 = 120

Answer: 3/5 of 200 = 120

Tip: When finding a fraction of a whole, divided the whole by the denominator, then multiply the quotient you got by dividing the whole by the denominator by the numerator

Example: 1/2 of 80

80 ÷ 2 = 40

40 · 1 =40

1/2 of 80 = 40

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

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Answer:

135°

Step-by-step explanation:

X is also 135°    as is S  , T  U , V, W and Y

Answer:

b)135°

Step-by-step explanation:

The value of an interior angle of 135° is appreciated

In a regular polygon all interior angles are equal

Angle x = 135°

Hope this helps

Answer:

school day

Step-by-step explanation:

When drawing a chart or a graph:

The two given variables are:

Therefore, in this scenario the independent variable is the school day and the dependent variable is the number of students since the former effects the latter.

So the data on the horizontal axis (x-axis) is:  school day

[tex]\angle FHD=74^{\circ}[/tex] (alternate segment theorem)

[tex]x=77^{\circ}[/tex] (angles in a triangle add to 180 degrees)

Hello:

Let's consider this problem in steps:

Let's gather some information:

Now let's apply our knowledge to solve the problem:

  [tex]\rm \hookrightarrow cos(cos^{-1}0.3) = 0.3[/tex]

Answer: 0.3

Hopefully that helps!

[tex]\frak{Hi!}[/tex]

                      [tex]\large\text{Related Concept-:}[/tex]

                     [tex]\boxed{\begin{minipage}{10cm} \sf{If\;you\;take\;the\;inverse\;cosine}\\ \;of\;a\;number,\;and\;then\;take\; its\;cosine,\;don't\;you\;get\;the\;number \\ you started with? \end{minipage}}[/tex]

The inverse cosine and the cosine are operations that undo each other.

This being said, let's solve our problem.

[tex]\bf{cos(cos^{-1}\;0.3)=0.3[/tex], based on what I said above

[tex]\cal{CALLIGRAPHY}[/tex]

By applying the reflection rule across the x-axis to quadrilateral DEFG, we obtain the following true statements:

In Geometry, the x-axis would remain the same if a quadrilateral is reflected across the x-axis and the sign on the y-axis would change either from positive to negative and vice-versa.

By applying the reflection rule across the x-axis (x, y) → (x, -y), we obtain the following true statements:

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Answer:

A

B

C

Are the right answer

Step-by-step explanation:

Answer: 2y^2+6bny-8n^2b^2

Step-by-step explanation: I hope this helps!

Answer:

  x = 1, 4

Step-by-step explanation:

We assume the graph is of the relation y = f(x). The desired values of x are those that correspond to points where the y-value is -2.

We are only interested in the x-coordinates of points that lie on the horizontal line where y = -2. Those points are (1, -2) and (4, -2).

The values of x such that f(x) = -2 are x=1 and x=4.

Answer:

135:147

Step-by-step explanation:

180/4=45

180-45=135

292-45=247

135:247