find the value of x if (1.1)^x=100​

Answer:

S= 4000n+50000

Step-by-step explanation:                       Table

50000+4000=54000                         0           5000

54000+4000=58000                         1            54000

58000+4000=62000 etc..                2            58000

                                                            3           62000

Is increasing by 4000  and thats the rate of change so S=4000n

And the y intercept always will be with a 0 in the cordinates and the only with a 0 is 50000.

We put all together and it will be

Answer: S=4000n+50000

Answer:

slope = 3

Step-by-step explanation:

rise/run = 3/1 = 3

Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Answer:

Step-by-step explanation:

54(4/9)

216/9

24 sheets

Answer:

Suraj used 24 sheets of paper

Answer:

y=(-3/5)x

Step-by-step explanation:

5x-3y=20

-3y=-5x+20

y=(5/3)x-(20/3)

perpendicular lines have opposite reciprocal slopes

Answer:

Perpendicular line is y = -3/5 x - 20/3

Step-by-step explanation:

First subtract 5x to move it to the other side. Now you have -3y = -5x + 20 . Next divide -3 on both sides to get y by its self. Now you have

y = 5/3 x - 20/3.

To find the perpendicular line, just remember that slope will be opposite. Look at the graph, I did for you above.⤴⤴⤴

Hope this helped :)

Answer:

55 + 55 + x = 180

x=70 degrees

Step-by-step explanation:

Answer:

x = 70°

Step-by-step explanation:

this is an isosceles triangle with two angles that measure 55°, therefore 'x' equals 180-110 or 70°

Answer:

John's currenct account balance after the deposit is $357.43.

Step-by-step explanation:

Current balance: $432.05

-$123.87

Current balance: $308.18

-$250.75

Current balance: $57.43

+$300.00

Current balance: $357.43

Distance using absolute value for each example are given below:

As given in the question,

Distance Using Absolute Value

Difference between each set of points on the number line and also confirming it by writing an absolute value statement for each.

1) –15 and 35

Distance Using Number Line     –15 – (–35) = –15 + 35 = 20

Absolute Value Statement    |–15 – (–35)| = 20

2) 47 and –12

Distance Using Number Line    47 – (–12) = 47 + 12 = 59

Absolute Value Statement     |47 – (–12)| = 59

3) –43 and 27

Distance Using Number Line     –43 – (–27) = –43+27 = – 16

Absolute Value Statement      |–43 – (–27)| = 16

4) –10 and 4

Distance Using Number Line     –10 – 4 = –14

Absolute Value Statement     |–10 – 4| = 14

5) 50 and –25

Distance Using Number Line     50 – (–25) = 50 + 25 = 75

Absolute Value Statement     |50 – (–25)| = 75

6) 36 and –19

Distance Using Number Line     36 – (–19) = 36+19 = 55

Absolute Value Statement    |36 – (–19)| = 55

7) –30 and –40

Distance Using Number Line    –30 – (–40) = –30 + 40 = 10

Absolute Value Statement    |–30 – (–40)| = 10

8) –2 and –45

Distance Using Number Line     –2 – (–45) = –2 + 45 = 43

Absolute Value Statement    |–2 – (–45)| = 43

9) 18 and 46

Distance Using Number Line     18 – 46 = –28

Absolute Value Statement    |18 – 46| = 28

10) –10 and –44

Distance Using Number Line      –10 – (–44) = –10 + 44 = 34

Absolute Value Statement    |–10 – (–44)| = 34

11) –28 and 41

Distance Using Number Line       –28 – 41 = –69

Absolute Value Statement     |–28 – 41| = 69

12) 7 and –9

Distance Using Number Line       7 – (–9) = 7+9 = 16

Absolute Value Statement      |7 – (–9)| = 16

13) –52 and 28

Distance Using Number Line       –52 – 28 = –80

Absolute Value Statement      |–52 – 28| = 80

14) 22 and –50

Distance Using Number Line       22 – (–50) = 22 + 50 = 72

Absolute Value Statement       |22 – (–50)| = 72

15) –4 and –31

Distance Using Number Line       –4 – (–31) = –4 + 31 = 27

Absolute Value Statement       |–4 – (–31)| = 27

16) 19 and 51

Distance Using Number Line       19 – 51 = –32

Absolute Value Statement     |19 – 51| = 32

17) 0 and –38

Distance Using Number Line       0 – (–38) = 0+ 38 = 38

Absolute Value Statement      |0 – (–38)| = 38

18) 2 and –14

Distance Using Number Line       2 – (–14) = 2+14 = 16

Absolute Value Statement       |2 – (–14)| = 16

Therefore, distance using absolute value for each example are given below:

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Answer:

\( {(x - 3)}^{2} + {(y + 5)}^{2} = {5}^{2} \)

Step-by-step explanation:

First find the radius

Which is the distance between the 2 points.

Radius =5

The answer in the standad form is above.

The equation of the circle in Standard Form is (x - 3)² + (y + 5)² = 25

The standard equation of a circle is given as:

(x - a)² + (y - b)² = r²

where (a, b) is the center of the circle and r is the radius of the circle.

Given the center as (3, -5) hence the radius of the circle is the distance between (3, -5) and (-1, -8). Hence:

\(Radius=\sqrt{(-8-(-5))^2+(-1-3)^2} \\\\Radius=5\ units\\\)

hence:

(x - 3)² + (y - (-5))² = 5²

(x - 3)² + (y + 5)² = 25

The equation of the circle in Standard Form is (x - 3)² + (y + 5)² = 25

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Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

k = m(x) - f(x)

Step-by-step explanation:

m(x) = f(x) +k

m(x) - f(x) = k

Answer:

x=113

Step-by-step explanation:

because 95 + 84 + 68 is 247 360 - 247 = 113

\(\boxed{A}\\\\ U=5(2n+22)+2\left( n+\cfrac{3}{2} \right) \\\\\\ U=10n+110+2n+3 \implies U=12n+113 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\hspace{5em}\textit{in 2009, that's 9 years after 2000, n = 9}\\\\ U(9)=12(9)+113\implies U(9)=221 ~~ millions\)

Answer:

13

Step-by-step explanation:

The midpoint is 1/2 way between points A and B

(A+B)/2 = (0+26)/2 = 26/2 = 13

The percent of the front page taken up by the prom story is 20%

From the question, we have the following parameters that can be used in our computation:

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Step-by-step explanation:

The way you can think about volume is that we have some cross sectional area times the height of the solid.

27.

The volume of a square based pyramid is

\(v = {s}^{2} ( \frac{h}{3} )\)

where h is the height of the pyramid

s is the side length of the square base.

S=7

h=12

\(v = {7}^{2} ( \frac{12}{3} ) = 49 \times 4 = 196\)

28. The volume of a rectangular prism

\(v = l \times w \times h\)

where l is length

w is width

h is height

\(v = 11 \times 11 \times 8 = 968\)

29.

Use the same formula in 27

\(v = 100(3) = 300\)

30.

Volume of a Cylinder is

\(v = \pi {r}^{2} h\)

where r is the radius of the circle

where h is the height

r is half of the diameter

The diameter is 22, thus the radius is 11.

\(v = {11}^{2} (8)(\pi)\)

\(v = 968\pi\)

pi is approximately 3.14

\(v = 3041.06\)

31. Volume of A Sphere

\( \frac{4}{3} \pi {r}^{3} = v\)

The radius is half of diamter, thus r=7

\( \frac{4}{3} \pi( {7}^{3} ) = 1436.76\)

The product is calculated by multiplying each row of matrix A by each column of matrix B and summing the results.The result of the operation is the matrix AB = [9 6; 5 4].

Matrix multiplication is defined as the process of multiplying two matrices together to form a third matrix. The product of two matrices A and B is denoted as AB. To calculate the product, each entry in the resulting matrix is calculated by multiplying each row of matrix A by each column of matrix B and summing the results. In other words, the entry in row i and column j of the product matrix AB is the sum of the products of elements in row i of matrix A and column j of matrix B.In the example given, the product of matrices A and B is AB. The product is calculated by multiplying each row of matrix A by each column of matrix B and summing the results. For example, the first entry in the product matrix, AB, is calculated as (1*2 + 0*3 + 0*4) + (0*2 + 1*3 + 0*4) + (0*2 + 0*3 + 1*4) = 2 + 3 + 4 = 9. The remaining entries are calculated in the same way. The result of the operation is the matrix AB = [9 6; 5 4].

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A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The value that will be in the blank would be = 165

The percentage that will like to run that prefer summer = 60%

On the given table, the total amount of individuals in each column should be the same.

Therefore, for the bike column = 231 + 87 = 318

Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.

To find the percentage that will like to run that prefers summer, the following is carried out;

The number of people that will like to run = 231

The number of people that will like to bike = 153

Total = 153+231 = 384

Therefore percent = 231/384×100/1

= 23100/384

= 60%

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.

To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.

Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.

Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.

Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).

Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).

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Vector v can be written as the sum of two vector components, \(v_x = -5i\)  and \(v_y = 6j\)

To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.

v = -5i + 6j

w = 3i + 4j

We can decompose vector v into two components, one along the x-axis and the other along the y-axis.

Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)

The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:

\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)

Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:

\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)

Now, we can write vector v as the sum of its components:

\(v = v_x + v_y = -5i + 6j\)

So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.

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Answer:

Step-by-step explanation:

1,-5

Step-by-step explanation:

john put 25 dollars in a jar and his wife put 35 dollars in the savings jar as well so save for there trip coming up

Answer:

Sally borrowed twenty-five dollars from Alex to buy a movie at the store. Later, she borrowed another thirty-five dollars to buy ride tickets at the state fair. How much money does she owe Alex?

Step by-step explanation:

When you have an even number of negative numbers in an equation, the answer will always be positive. When there's an odd number of negative numbers, the answer will be negative. For a problem like this, you can ignore the negative signs and focus on the numbers. 25+35 is 60, so Sally owes Alex 60 dollars.

                  Hope this helps!

Given: a||c and b||c

Prove a||b

we know that

if two lines are parallel, then their slopes are equal

that means

If a||c and b||c

then

ma=mc and mb=mc

so

by the transitive property

if ma=mc and mb=mc

then

ma=mb

the slopes of the lines a and b are equal

therefore

lines a and b are parallel