2 In the diagram below of AABC, TV || BC, AT = 5,
TB = 7, and AV = 10.
B
A
What is the length of VC?
1) 3-1/2
2) 7-½-1
3) 14
4) 24
C
4

f.g and its domain is 24x²-36x-24; all real numbers.

Given, f(x) = 3x - 6; g(x) = 8x +4.

We need to find the value of f.g

The domain of a function; In mathematics, the domain of a function is the set of inputs accepted by the function.

Now, (f.g)(x)=(3x-6)(8x+4)

=24x²-48x+12x-24

=24x²-36x-24

Therefore, f.g and its domain is 24x²-36x-24; all real numbers.

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Answer:

The length of the shortest side of the pentagon would be:

40.2

Answer: 7 and 17

Step-by-step explanation:

Since the area of a rectangle is the product of the two sides, the product of these two numbers must be 119.

The factors pairs of 119 are 1 and 119, and 7 and 17.

x+7 and x-3 have a difference of 10. The difference of 7 and 17 is also 10. Hope this helped!

In the future, please take a less blurry photo because I had to guess the part where I think it said x-3.

Answer:

Step-by-step explanation:

The Compositions of Reflections Over Intersecting Lines Theorem states that if we perform a composition of two reflections over two lines that intersect, the result is equivalent to a single rotation transformation of the original object.

hope it helps! (✿◠‿◠)

The result concluded is equivalent to a single rotation transformation of the original object.

When a graph is reflected along an axis, say x-axis, then that leads the graph to go just on the opposite side of the axis as if we're seeing it in a mirror.

The Compositions of Reflections Over Intersecting Lines states that if we perform a composition of two reflections over two lines that intersect.

The result concluded is equivalent to a single rotation transformation of the original object.

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Answer: The graph of G(x) is the graph of F(x) compressed vertically.

Step-by-step explanation:

See attached image.

The equation which accurately solves for the integers is; 5n = 2(2n +3) +1.

It follows from the task content that the first number is represented by n.

On this note, it follows that the second, and third numbers are; (n+1) and (n+2) respectively.

On this note, since five times the first number is equal to one more than twice the sum of the second and third numbers; we have;

5n = 2(n+1+n+2) +1

5n = 2(2n+3)+1.

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Answer:

[tex]9^{28}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](9^7)^{4}[/tex] = [tex]9^{7(4)}[/tex] = [tex]9^{28}[/tex]

Answer:

60(5) = 300 :D

Step-by-step explanation:

First lets make the equation :)

Orders 60 roses

This week will order 5x as many as last week

60 x 5 OR 60(5)

60(5) = 300 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

3.2 km

Step-by-step explanation:

4cm÷5km=0.8 per cm to km

4km×0.8 km=3.2 km represents

Answer:

3.2 km

Step-by-step explanation:

[tex]\frac{4}{5} =\frac{x}{4}[/tex]

[tex]x=\frac{(4)(4)}{5} =\frac{16}{5} =3.2[/tex]

Hope this helps

Inequalities help us to compare two unequal expressions. The solution that will make the value of the function r(x) less than equal to 0 is [3,∞).

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

To find the value of x that will make the function r(x)=x-4x+9 less than or equal to 0 solve the inequality,

x - 4x + 9 ≤ 0

x - 4x ≤ -9

-3x ≤ -9

x ≥ (-9)(-3)

x ≥ 3

Hence, the solution that will make the value of the function r(x) less than equal to 0 is [3,∞).

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Answer:

24

Step-by-step explanation:

[tex]8 * \frac{x}{8}=3 * 8[/tex]

x = 24

Answer:

24

Step-by-step explanation:

Let the number we are looking for = [tex]x[/tex].

∴ According to the question:

[tex]x[/tex] ÷ 8 = 3

• Multiply both sides by 8:
[tex]x[/tex] = 8 x 3

[tex]x[/tex] = 24

The age of the man whose normal pressure measures 128 mmHg is approximately 38 years.

The quadratic formula can be used to determine the age of a man whose normal blood pressure measures 128 mmHg. This can be expressed mathematically as:

[tex]\mathbf{ \dfrac{-b \pm\sqrt{b^2 - 4ac}}{2a}}[/tex]

From the given equation:

P = 0.006A² - 0.02A + 120

where;

128 =  0.006A² - 0.02A + 120

= 0.006A² - 0.02A + 120 - 128

= 0.006A² - 0.02A - 8

where:

[tex]\mathbf{ \dfrac{-(-0.02) \pm\sqrt{(-0.02)^2 - 4(0.006)(-8)}}{2(0.006)}}[/tex]

[tex]\mathbf{ = \dfrac{(0.02) \pm 0.43863}{0.012}}[/tex]

= 38.2195 or -34.8862

Taking the positive integer value, the age of the man whose normal pressure measures 128 mmHg is approximately 38 years.

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Answer:

Formulae is Future value, see in picture I've done example 1 for u.

The category in the pie chart that was chosen by 1/8 of those that were surveyed is documentary.

From the pie chart, it can be seen that comedy and drama have the highest fraction as they have 1/4 each.

Therefore, the percentage of those who choose comedy or drama will be:

= (1/4 + 1/4) × 100

= 2/4 × 100

= 50%

Lastly, if 24% chose news, the others that choose others will be:

= 1/3 × 24

= 8%

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The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]

An equation is an expression that shows the relationship between two or more numbers and variables.

Complex number is in the form z = a + bi, where a, b are real numbers.

Given the complex number z = 1 + 3i

In polar form: r = √(1² + 3²) = 3.16

Ф = tan⁻¹ (3/1) = 71.57⁰

The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]

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The given graph is a function.

The correct option is (B).

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

As we draw the vertical line then for one input x there is one output.

Hence, the given graph is function.

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The value of the given complex number is -1

Given the polar form of a complex number expressed as:

[tex](cos\theta + isin\theta)^n\\[/tex]

This can also be expressed according to the de moivre's theorem as;

[tex]=(cos\theta + isin\theta)^n\\\\=(cosn\theta+isinn\theta)[/tex]

Given the expression below;

[tex](cos\frac{\pi}{6} + isin\frac{\pi}{6} )^{18}\\(cos18\cdot\frac{\pi}{6} + isin18\cdot\frac{\pi}{6} )\\(cos3\pi + isin3\pi)\\=-1[/tex]

Hence the value of the given complex number is -1

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Answer:

It's A 48,736

Step-by-step explanation:

Answer:

48,856.11

Step-by-step explanation:

Compound interest is generally written as: [tex]A=P(1+\frac{r}{n})^{nt}[/tex] where P = principle amount, r = interest rate, n=compound periods, t = time. This is compounded continuously which can be defined as: [tex]A=Pe^{rt}[/tex]. If you're confused what e is, one of the definitions, is [tex]\lim_{x\to\infty}{(1+\frac{1}{x})^x[/tex]. This is essentially the very definition of continuous compound. It's when the amount of compounds (n in the equation) goes towards infinity. So using the previous defined equation simply plug the values into the equation.

[tex]A=(40000)e^{0.025*8}[/tex]

Multiply inside the exponent

[tex]A=(40000)*e^{0.2}[/tex]

raise e to the power of 0.2

[tex]A\approx40000*1.221[/tex]

Multiply

[tex]A=48,856.11[/tex]

Answer:

_ t&byds

ty grk gtrwwfh

Answer:

i think this is the answers

Step-by-step explanation:

-13.78xy

The domain of the function g(x)=l2xl +2 is all real numbers and the range is from (0,∞).

Given g(x)= l2xl +2

First of all we know that modulas gives two values for x<0 and x>=0.

The function g(x) if opened gives two values.

for x>=0 g(x)=2x+2

for x<0 g(x)=-2x+2

because we have not told about the description about x so we can put any value in the function.

So the domain is all real numbers.

Now when we take g(x)=2x+2 for x>=0

putting x=0 we get 2 and rest are positive values so the value of g(x) keeps increasing as we increase the value of x. So here range is [2,∞).

Now take g(x)=-2x+2 for x<0

putting smallest number starting from zero but not 0 we will get a number near to 0 but not zero and because when a negative number multiplies with -2 it becomes positive and increase the value of g(x) so here the range becomes (0,∞).

When we talk about overall range it will be [2,∞) ∪(0,∞)

it will be (0,∞).

Hence the domain of the function g(x) is all real numbers and range is from 0 to infinity.

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There are 4 elements in the set A and 8 elements in set B that is n(A) = 4 and n(B) = 8

This is the total number of elements in a set. Given the following sets;

A = {c, d, e, f}

B = {odd numbers greater than 5 and less than 23}

B = {7,9,11,13, 15, 17, 19, 21}

Since there are 4 elements in the set A and 8 elements in set B hence n(A) = 4 and n(B) = 8

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Answer:

AB = 11 units

Step-by-step explanation:

a given ratio also tells us how many equally sized units there are in the whole (in this case the line).

the ratio 4:7 tells us therefore, that from the whole line 7 ratii units (of 7+4 = 11 ratio units) are on the side of CB.

4 ratio units (of the 11 ratio units) are on the side of AC.

AC is the distance between A and C.

that is

0.6 - -3.4 = 0.6 + 3.4 = 4 line units

aha ! the distance is 4 units on the number line, and the ratio tells us that AC is 4 ratio units.

so, line unit and ratio units are 1:1 the same.

that means that CB with 7 ratio units is then also 7 line units long.

so, the whole line AB is then 4 + 7 = 11 line units long.

Answer:

11 units

Step-by-step explanation:

correct on plato

Answer:

Step-by-step explanation:

x intercept equals pi

Answer:

x intercept= 6

Step-by-step explanation:

The solution to the system of equations is: (1, -8).

The solution is the coordinate of the point where both lines of the equations meet.

Second equation: 3y + 30 = 6x, rewrote in slope-intercept form:

3y = 6x - 30

y = 6x/3 - 30/3

y = 2x - 10 --> eqn. 1

Find the slope (m) and y-intercept (b) of the first graphed equation:

Slope (m) = change in y/change in x = rise/run = -4/2 = -2

The line intersects the y-axis at y = -6, so, the y-intercept, b = -6.

The first equation would be: y = -2x - 6 ---> eqn. 2

Subtract eqn. 2 from eqn. 1 to eliminate x

y = 2x - 10 --> eqn. 1

y = -2x - 6 ---> eqn. 2

2y = 0 - 16

2y = -16

y = -16/2

y = -8

Substitute y = -8 into eqn. 1 to find x:

-8 = 2x - 10

-8 + 10 = 2x

2 = 2x

2/2 = x

1 = x

x = 1

The solution is therefore: (1, -8).

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Answer: All real numbers

Step-by-step explanation:

I assume you meant [tex]y=5.3^x[/tex].

In this case, the domain is the set of real numbers, as is with most standard exponential functions.

It's the water

The salt would be the solute that dissolves in the solvent.

Temp - is a factor

(affecting rate at which salt dissolves)

grams - unit of measure

Hope this helps!

The greatest common factor will be (x² – xy + y²).

This is a value or expression that can divide the given expressions without leaving a remainder.

Given the following expressions

x^3+^3 and x^2 - xy + y^2

Expand x^3+y^3

x^3+y^3 =(x + y)(x² – xy + y²).

Since (x² – xy + y²) is common to both expression, hence the greatest common factor will be (x² – xy + y²).

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Answer:

9.00,9.20,9.30

Step-by-step explanation: