what is the approximate value of x in the exponential 4^x=14?

Answer:

The total cost of the meal is $24.24

Step-by-step explanation:

Step 1: Combine the two meal costs.

10.20 + 9.50 = 19.70

Sales tax is 7%, so multiply 19.70 by 0.07 then add the sum to 19.70

19.70 * 0.07 = 1.379

19.70 + 1.379 = 21.079

They leave a 15% tip on the meal, including tax, so take 15% of 21.079 or 21.079 * 0.15, which equals 3.16185

Add 3.16185 to 21.079

This equals 24.24085

Round down to $24.24

Answer:

[tex]y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]

In order to find equation:

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{rise}{run}[/tex]

[tex]\rightarrow \sf slope: \dfrac{-17-(-7)}{8-(-4)}[/tex]

[tex]\rightarrow \sf slope: -\dfrac{5}{6}[/tex]

Then find equation using:

y - y1 = m(x -x1) where (x1, y1) are points, m is slope

[tex]\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)[/tex]

[tex]\sf \rightarrow y = -\dfrac{5}{6} x + \dfrac{20}{3} -17[/tex]

[tex]\sf \rightarrow y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]

The total amount of return will be 5611.8573. The principal amount is compounded annually.

Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.

The given data;

P(PRINCIPAL)=5300

r(rate)=2.9%

n=1

t(time)=2

The total amount of return is found as;

[tex]\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573[/tex]

Hence,the total amount of return will be 5611.8573.

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Answer:

Step-by-step explanation:

what is the mean age of a girl on the swimming team?​

adding the number of girls together and then dividing by the number of girls

(15 + 17 + 19 + 12 + 14 + 18 + 12) : 7 =

107 : 7 = 15.28 (you can round at 15)

put values

Do like you do algebraic addition

Option A

Answer:

The coefficient of x is 2.

Step-by-step explanation:

1) Add the numbers

7y + 4x + 4 - 2x + 8

7y + 4x + 12 - 2x

2) Combine like terms

7y + 4x + 12 - 2x

7y + 2x + 12

3) Rearrange items

7y + 2x + 12

2x + 7y + 12

Answer:

x=55

Step-by-step explanation:

since it’s a right angle do 90*-35*=55*
Hope this helps! ;-)

Answer:

third person

Step-by-step explanation:

[tex]y = \sqrt[3]{x - 8} [/tex]

When translating the function in the positive x direction, we have to subtract the value from x

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

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

Given the equation:

f(x) = x + 2

The value of f(n - 4) is given as:

f(n - 4) = n - 4 + 2 = n - 2

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

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Answer:

x⁴+2x³ +3x²+6x +12r is the answer

Answer:

f(2) = 5

Step-by-step explanation:

Given: f(x) = x² + 2x - 3

We are asked to find the value of the function when x = 2.

In the function, substitute 2 as the value of x and simplify:

f(2) = (2)² + 2(2) - 3

f(2) = 4 + 4 - 3

f(2) = 8 - 3

f(2) = 5

When x is equal to 2, the value of the function is 5.

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Answer:

See Below

Step-by-step explanation:

Initial cost = $52

Markup for operating expenses = 34%

$52 + 34% = $52*1.34 = $69.68

Markup for profit = 6%

69.68 + 6% = 69.68*1.06 = 73.86 (rounded)

a) The selling price is $73.86

b) The reduced price is:

$73.86 - $25 = $48.86

c) The percent of markdown:

25/73.86*100% = 33.85% (rounded)

d) The absolute loss:

$69.68 - $48.86 = $20.82

[tex]1.4 ~ \text{Radians}\\\\=\left( 1.4 \times \dfrac{180}{\pi}\right)^{\circ}\\\\=\left( \dfrac{252}{3.14}\right)^{\circ}\\\\=(80.3)^{\circ}[/tex]

[tex]\text{Hence the answer is A.}[/tex]

Answer:

300 cm cubed or 300 cm^3

Step-by-step explanation:

(b x h ) / 2 = Area of triangle

5 x 12 = 60

60 / 2 = 30

Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.

30 x 10 = 300 cm cubedor 300 cm^3

Answer:

1/2BA*2+l*w

1/2*12*5*2+10*13+12*10+10*5

=360cm

Step-by-step explanation:

the sum of all angles in a triangle is always 180°.

angle c = angle a + angle b + 40

angle a = angle b - 20

angle a + angle b + angle c = 180

using the second equation in the first :

angle c = (angle b - 20) + angle b + 40 = 2×angle b + 20

using this and the second equation in the third equation :

(angle b - 20) + angle b + (2×angle b + 20) = 180

4×angle b = 180

angle b = 45°

angle a = angle b - 20 = 45 - 20 = 25°

angle c = angle a + angle b + 40 = 25 + 45 + 40 = 110°

Answer:

Complementary angles means sum of angles must to 90 degrees.

Supplementary angles means sum of angles must be 180 degrees.

1.

10 degree + 65 degree = 75 degree

   10 degree + 65 degree ≠ 90 degree

So, 10-degree angle and a 65-degree angle are

not complementary angles.

2.

40 degree + 50 degree = 90 degree

So, 40-degree angle and a 50-degree angle are

complementary angles.

3.

140 degree + 40 degree = 180 degree

So, 140-degree angle and a 40-degree angle are

supplementary angles.

4.

120 degree + 60 degree = 180 degree

120 degree + 60 degree ≠ 90 degree

So,120-degree angle and a 60-degree angle are

not complementary angles

y = - 0

The line is horizontal.

Answer:

0.70

Step-by-step explanation:

it’s 0.70 because the 0.675 is rounded

The 7 is more than 5 so it’s closer to 8 which that you round up the 6 to a 7 and the same thing with 5. So that is how I know it’s 0.70 after rounding it.

Answer:

0.70

Consider the rounding rule for each place.

6 ≈ next tenths

7 ≈ next tenths

5 ≈ next tenths

This is because...

Answer:

For this case we have the following polynomial.

We note that the polynomial graph cuts only the vertical axis at one point.

The graph has no other cut points on the x axis

Therefore, the polynomial has:

6 complex solutions

0 real solution

Step-by-step explanation:

Answer:

c) 18/25

Step-by-step explanation:

The total of all votes is 1000.

The total of all 'agree' votes is 420.

Since it is either agrees or is a man, we can add the 300 disagree male votes to 420, making 720 / 1000.

From there we simplify 720 / 1000 -> 18 / 25

The graph of the given function f(x)=2arcsin (x-4)+1, looks like the curve.

We have given that the function

f(x)=2 arcsin (x-4)+1,

We have to determine the graph of f(x)

Therefore we gave

Graph

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with.

The numbers x and y in the ordered pair (x, y) are called coordinates.

We find the coordinate of the given graphs and draw a graph of the given function.

x           f(x)

3          −π−1

7/2        −π/3−1

4            −1

9          2π/3−1

5            π−1

Therefore the graph of the given function is

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Answer:

11

Step-by-step explanation:

48 = 4x + 4                           two of its angles are equal in measurement

- 4          - 4

44 = 4x

----    ----

 4       4

11 = x

Answer:

24 ft

Step-by-step explanation:

to find the perimeter of rug is you have to add 9+9+3+3= 24

Answer:

(2,6)

Step-by-step explanation:

What is a dilation?

A dilation is a type of transformation that resizes an object.

To apply a dilation ( find the coordinates of a point after a dilation ) you must multiply the x and y values of the coordinates by the scale factor

Applying the dilation rule

We want to find the coordinate of vertex B after a dilation with a scale factor of 2. To do so we multiply the x and y value of vertex b by the scale factor or 2

Current coordinates of the triangle :

Coordinates after dilation

A' = (1,1) ===> (1×2,1×2) ===> (2,2)

B' = (1,3) ===> (1×2,3×2) ===> (2,6)

C' = (3,1) ===> (3×2,1×2) ===> (6,2)

The coordinate of the vertex B after the dilation is (2,6)

Answer:

[tex]a_{n}[/tex] = - 8n + 10

Step-by-step explanation:

the sequence has a common difference between consecutive terms , that is

- 6 - 2 = - 14 - (- 6) = - 22 - (- 14) = - 8

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = - 8 , then

[tex]a_{n}[/tex] = 2 - 8(n - 1) = 2 - 8n + 8 = - 8n + 10