​100 centimeters = ​
meter


How much meter's do it equals?

Answer:

the answer is 28 all cha do subtract 124 -96= 28

Step-by-step explanation:

lol use a calculator\

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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Answer:

9%

Step-by-step explanation:

Let the required number be 100.

Now, according to the question, the number is first increased by 30 %

⇒ 100 + 30 % of 100

⇒ 100 + [(30*100)/100]

⇒ 100 + 30

⇒ 130

Then, it is decreased by 30 %

⇒ 130 - (30 % of 130)

⇒ 130 - [(30*130)/100]

⇒ 130 - 39

⇒ 91

Net Decrease = 100 - 91

= 9

Percent Decrease = (Change in number*100)/100

⇒ (9*100)/100

= 9 %

Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

Answer:

B. 1.5 cups

Step-by-step explanation:

6/8 = 0.75

each person gets 0.75 each

Since 2 people chose not to drink the juice. the left overs would be 0.75*2

0.75*2=1.5

The equation of circle that we get similar to the given form is x²+y²+2x+8y-8=0 whose center is (-1,-4) and radius 5.

A round geometrical shape whose boundary is a fixed distance from its center.

Given, equation of circle x²+y²+Ax +By+C =0

As the above equation passes through points (4,-4),(2,-8) and (-5,-1)

16+16+4A-4B+C =0

4+64+2A-8B+C =0

25+1-5A-B+C =0

by adding like term, we get

32+4A-4B+C =0

68+2A-8B+C =0

26-5A-B+C =0

Now, we will solve the above three equations to determine unknown values

A= 2, B= 8 and C= -8

Now, the general form of equation of circle is x²+y²+2x+8y-8 =0

the above equation can be written in the form x²+2x+1+y²+8y+16-25= 0

                (x+1)²+(y+4)²-25=0

  (x+1)²+(y+4)² =25= 5² it is the standard form of equation of circle.

hence, the equation is x²+y²+2x+8y-8=0     and center and radius are (-1,-4) and 5      respectively

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There are 5 triangles and 1 pentagon for a total of 6

The answer is 6

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

C. 27°

Step-by-step explanation:

This question can be solved by using the concept of law of reflection which states that any ray of light reflects from the surface then angle of incidence is equal to angle of reflection.

In the problem given above angle of incidence as given is 27 degrees.

therefore by using law of reflection angle if reflection will be equal to angle of incidence i.e 27 degrees.

Thus, correct option is C. 27°

Answer: 0.04

Step-by-step explanation:

The area \(A_1\) of the square target with side length \(s_1=20 cm\) is:

\(A_1=s_1^{2}=20^{2}=400\)

The area \(A_2\) of the shaded square with side length \(s_2=4cm\) is:

\(A_2=s_2^{2}=4^{2}=16\)

So, the probability that the dart will land in the shaded square on the target is:

\(\frac{A_{2}}{A_{1}}=\frac{16}{400}=0.04\)

Answer:

4, -8

Step-by-step explanation:

Answer: The answer is <-4, -8>

Step-by-step explanation:

Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

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Answer:

is the equation of the line:

y=-3x

Answer:

100

Step-by-step explanation:

30-28=100 if u round it to thr nearest hundreth because

30 2-2=0

- 18-8=10

-28

10 rounded to tye nearest hunderth is 100

Answer:

the number of branches required to use 25 wreaths is 75 branches

Step-by-step explanation:

Given that

The florist used 225 branches of winterberry for making 75 wreaths

First we have to compute the unit rate or the ratio

= 225 ÷ 75

= 3 : 1

Now the number of branches required to use 25 wreaths is

= 3 × 25

= 75 branches

Hence, the number of branches required to use 25 wreaths is 75 branches

Work Shown:

Plug x = 4.3 into the equation given

ŷ = 2.6 − 3.1x

ŷ = 2.6 − 3.1(4.3)

ŷ = 2.6 − 13.33

ŷ = -10.73

Note: The symbol ŷ is read as "y hat". It's used to estimate the y value when it comes to regression equations.

Solution:

The total number of sample space is

The number of people with fishing licenses is

The number of people without a fishing license is

Step 1:

We will find the probability of picking the first person without a license, we will have

by substituting the values, we will have

Step 2:

We will find the probability of picking the second person without a license,

Note:

There are 7 people left and 3 of them have a license left as we have picked one in step one

Hence,

The probability will be

Step 3:

The probability of choosing two people without a license will be

By substituting the values, we will have

Hence,

The final answer = 3/14

Since the value of y varies directly with x, the value of x when y equals 9 is 9/13

Given the following data:

x = 195

y = 15

To find the value of x when y = 9:

This is a direction proportion exercise and you're required to solve for the value of x when the value of y is equal to 9.

First of all, we would determine the constant of proportionality (k) for the mathematical expression.

y = kx

15 = 195k

k = 13

Now, we can find x:

y = kx

9 = 13 x

x = 9/13

Therefore, the value of x when y equals 9 is 9/13

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complete question:

The value of y varies directly with x. If x = 195 when y = 15, what is the value of x when y = 9?

Answer:

The original height of the tree is 18 m.

Step-by-step explanation:

Please see attached photo for explanation.

From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:

x² = 5² + 12²

x² = 25 + 144

x² = 169

Take the square root of both side

x = √169

x = 13 m

Finally, we shall determine the original height of the tree. This can be obtained as follow.

From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.

Thus, the original height of the will be the sum of 5 and x i.e

Height = 5 + x

x = 13 m

Height = 5 + 13

Height = 18 m

Therefore, the original height of the tree is 18 m.

The formula for the function is S(r) = -10r² + 130r.

A function can be represented as an equation, a graph, or a table of values. In an equation, the function is usually denoted as "f(x)", where "x" is the input value and "f(x)" is the output value. For example, the equation f(x) = 2x represents a function that takes an input value x and produces an output value that is twice the input value.

Functions can be used to model real-world phenomena and solve various problems in mathematics, science, engineering, economics, and other fields. They are an important concept in calculus and other branches of mathematics, and they have numerous applications in modern technology and industry.

Let the cost of admission be $a and the cost of each raffle ticket be $r. Then we can write the following equation based on the given information:

10r + a = 135

Solving for a, we get:

a = 135 - 10r

Thus, the function that relates the total amount spent to the number of raffle tickets bought is:

S(r) = ar + 5r = (135 - 10r)r + 5r = -10r² + 130r

Therefore, the formula for the function is:

S(r) = -10r² + 130r

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Answer:

b = 12

Step-by-step explanation:

c^2 = a^2 + b^2

Solving for b,

b^2 = c^2 - a^2

= (13)^2 - (5)^2

= 169 - 25

= 144

or

b = 12

There will be no change in the price of the car.

A number line is a representation of a graduated straight line used to abstract real numbers in elementary mathematics. Its points are considered to correspond to real numbers and vice versa.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the sticker price = x, Price reduced by $300

Hence the new price is,

N= x-$300

The cost of additional features = $900

Hence the new price for selling will be.

=x-$300+$900

=x+$600

Dealer also provides a discount of $600

Hence Final  selling price will be

=x+$600-$600

Hence there seems to be no change in the sticker price as the sticker price and the final selling price are the same.

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Answer:

(0, 50)

Step-by-step explanation:

The y-intercept is when x=0.

\(y=0.20(0)+50=50\)

Answer:

Subtract 3 from 8, then divide 75 by 5.

Step-by-step explanation:

First, subtract 3 from 8 since she finished 3 already.

8-3=5

This means that Sumi has 5 more pots to make. Since she has 75 minutes left, and she wants to finish all the pots in the same amount of time, we can divide 75 by 5.

75/5=15

Sumi should finish each pot in 15 minutes.

Check the picture below.