can someone help i dont understand exponential functions

Answer:

8x = 75 + 5x

where x = length of one brick

25cm

Step-by-step explanation:

The required solution after three successive iterations is near x = 7/8. Option c is correct.

Equation is -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation.

The equation is the values of two expressions that are equal.

Here,

[tex]-2x + 6 = -(2/3)^x + 5[/tex]

Arranging the equation

[tex]-2x + 6 +(2/3)^x - 5 = 0\\(2/3)^x-2x+1=0[/tex]
Since the solution of the equation is when f(x) = 0 at near to  x = 0.8
[tex]f(x) = (2/3)^x-2x+1\\[/tex]

First iteration at x =0.8
[tex]f(0.8) = (2/3)^x-2x+1\\ = (2/3)^{0.8}-2*0.8+1\\ = 0.123[/tex]

It will go up more to get exact zero, so
Second iteration at x = 0.9

[tex]f(0.9) = (2/3)^{0.9}-2*0.9+1\\f(0.9) = -0.106[/tex]

It seems that zero is near 0.9 so will go down
The third iteration at x = 0.87

[tex]f(0.87) = (2/3)^{0.87}-2*0.87+1\\f(0.87) = -0.037[/tex]

Here , solution is much near to x = 0.87 or x =7/8.

Thus, the required solution after three successive iterations is near x = 7/8.

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Answer:

Step-by-step explanation:

3 = 1(1 + x)^4

let q = 1 + x

3 = q^4

ln(3)  = 4  ln(q)

ln(3)/4 = ln(q)

.274 = ln(q)

q = e^.274 = 1.316

x = .316

Future amount = 48(1+.316)^4

Future amount = 143.96

Answer:

geomatric

Step-by-step explanation:

Answer:

Arithmetic

Step-by-step explanation:

The difference between terms is constant

Answer:

Step-by-step explanation:

Distance traveled by walking = x

i) The distance Mary run = 2 *x = 2x

ii) Distance traveled by bus = 65 m more than the distance she ran

                                             = 65 m more than 2x

Distance traveled by bus  = 2x + 65

Total distance traveled = 600 m

x + 2x + 2x +65 = 600

            5x + 65 = 600

                   5x = 600 - 65

                   5x = 535

                     x = 535/5

x = 107

Distance Mary walked = 107 m

Answer:

17 meters

Step-by-step explanation:

Area = Length x Width

Width = 7

Area = 119

Solving for: Length

Equation:

119 = 7 * x

Solving for Length (x) :

119 = 7 * x

x = 119/7

x = 17

Units = meters

Answer: 17 meters

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

y = -12x + 3

Step-by-step explanation:

The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:

y = mx + b

y = -12x + 3

Step-by-step explanation:

:)

Hola bro espero y te sirva

Answer:

10n + 28

Step-by-step explanation:

a + d (n-1)

a = 38

d = 10

38 + 10 (n-1)

38 + 10n -10

10n +38 - 10

10n + 28

Hope this helps!

Answer:

a) 60, because in every triangle, the angles always add up to 180. there are three angles in a triangle, and you k is two add to 120, so of you and 60 to 120 you get 180

Answer:

x intercept: 4    y intercept: -10

Step-by-step explanation:

Use desmos graphing calculator :)

Answer: 17

Step-by-step explanation:

3(x+1)2=108

Distribute the 3 first: (3x+3)2=108

Then divide by 2 on both sides: 3x+3= 54

Subtract 3 from both sides: 3x=51

Divide by 3 on both sides: x=17

Answer:

Step-by-step explanation:

Total hours:

Answer: £1.18

Step-by-step explanation: 9.44/8 = 1.18

Answer:

C = 2πr

Step-by-step explanation:

We know that, the perimeter of a figure is equal to the sum of all sides.

A circle having no sides.

The perimeter of a circle = The circumference of the circle

The formula for the circumference of the circle is given by :

C = 2πr

Where

r is the radius of the circle

Hence, this is the required solution.

Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

A method of dividing something into equal parts is called division.

Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.

Edgar wants to make 90 tortillas.

We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.

1 bunch of 15 tortillas needs 2 cups of masa.

So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.

Again 1 bunch of 15 tortillas needs 1.5 cups of water.

So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.

Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

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Answer:

1 =x

Step-by-step explanation:

24 - 2x = 19 + 3x

Add 2x to each side

24 - 2x+2x = 19 + 3x+2x

24 = 19 +5x

Subtract 19 from each side

24-19 =19+5x-19

5 = 5x

Divide by 5

5/5 = 5x/5

1 =x

Answer:

Step-by-step explanation:

The x and y intercepts occur when either x or y = 0

For the y intercept, x = 0

3(0) - 5y + 15 = 0

- 5y + 15 = 0                  Subtract 15 from both sides.

-5y = - 15                       Divide by - 5

-5y / -5 = - 15/-5

y = 3

For x intercept, y = 0

3x - 5(0) + 15 = 0

3x + 15 = 0                    Subtract 15 from both sides

3x = - 15                        Divide by 3

3x/3 = - 15/3

x = - 5

xintercept = (-5,0)

yintercept = (0,3)

Answer:

9.81m^2

Step-by-step explanation:

Given data

Pressure P= 50Pa

Mass M= 50kg

Weight= Mg= 50*9.81= 490.5N

Hence Force= 490.5N

We know that Pressure= Force/Area

Substitute

50= 490.5/Area

Area= 490.5/50

Area= 9.81 m^2

Hence the area is 9.81m^2

First let's calculate the exponents.

[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]

Now we should multiply and divide.

[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]

Now we should add and subtract.

[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]

Convert the improper fractions into mixed numbers.

[tex]8\frac{4373}{4374}[/tex]

Answer :

[tex]8\frac{4373}{4374}[/tex]

Answer:

[tex]P=1259.26N/m^2[/tex]

Step-by-step explanation:

From the question we are told that:

Force [tex]F=68N[/tex]

Area [tex]A=540cm^2=0.054m^2[/tex]

Generally the equation for Pressure is mathematically given by

 [tex]P=\frac{F}{A}[/tex]

 [tex]P=\frac{68}{0.054}[/tex]

 [tex]P=1259.26N/m^2[/tex]

Answer:

2

Step-by-step explanation:

Yes the parallel line segment to eat the answer

Answer:

[tex]x = 145[/tex]

Step-by-step explanation:

1.Approach

To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.

Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.

It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).

2. Find the measure of two angles in the triangle

The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,

[tex]x+(unknown)=180[/tex]

Solve for unknown,

[tex]unknown = 180 - x[/tex]

One can also state,

[tex]170+(unknown_2)=180[/tex]

Solve for the unknown,

[tex]unknown_2=10[/tex]

3.Find the degree measure of one of the angles in the octagon

The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.

The formula to find the sum of interior angles in a polygon is as follows,

[tex]S=180(n-2)[/tex]

Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,

[tex]S=180(n-2)\\\\S=180(8-2)[/tex]

Simplify,

[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]

Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.

[tex]1080[/tex] ÷ [tex]8 = 135[/tex]

4. Find the measure of the final angle in the triangle

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.

5. Find the meausre of (x)

The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,

[tex](180-x)+(10)+(135)=180[/tex]

Simplify,

[tex]325-x=180[/tex]

Inverse operations,

[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

Answer:

12

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

in this case its

[tex]5^{2}[/tex] + [tex]b^{2}[/tex] = [tex]13^{2}[/tex]

25 + [tex]b^{2}[/tex] = 169 subtract 25 from both sides

[tex]b^{2}[/tex] = 144 take square root of each side

b = 12

Answer:

[tex]12[/tex]

Step-by-step explanation:

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

In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]

So,

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

[tex]b^2=144[/tex]

[tex]b=12[/tex]

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

Hope this helps.

Answer:

2012 km squared

Step-by-step explanation:

2600(.95)^5

if its going down by 5 percent, we minus 5 from 100 and put it in decimal form. any decimal lower than 1.00 will result in a lower number. for 5 years, we place 5 as an exponent

uh sorry if that doesn't make a lot of sense

Answer:

Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.

Answer:

78.5

Step-by-step explanation:

The radius of the circle is 25 so youu multiply that by 3.14

25*3.14=78.5

Answer:

D. 6, 6[tex]\sqrt{3}[/tex], 12

Step-by-step explanation:

the Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]

so,

[tex]6^{2} =36\\(6\sqrt{3}) ^{2} =108\\12^{2} =144\\36+108=144[/tex]