Big drop is twice as long as little drop how long is little drop?

Answer:

5 postcards in each stack. 15 divded by 3 equals 5.

Why? Because adding any number and its opposite is always going to be zero.

Consider adding the number 5 to its opposite -5

5 + (-5) = 5-5 = 0

The same applies to fractions as well. All we do is change the sign from negative to positive, or vice versa, to get the opposite number. The opposites cancel out more or less.

You can think of it as going up 5 floors (positive 5), then going back down 5 floors (negative 5). So overall you didn't change floors at all (represented by 0)

An exponential function with an initial value of 2 can be represented as f(x) = 2e^x, where '2' is the coefficient and 'e^x' is the exponential term. The term 'initial value' in this context refers to the coefficient, which is the output of the function when the input is 0.

An exponential function with an initial value of 2 can be represented as f(x) = 2e^x. Here, the initial value is referred to as a coefficient or base of the exponential function. This means that the output of the function is 2 when the input is 0. Squaring of exponentials involves multiplying the exponent of the exponential term by 2.

As another example, in the exponential arithmetic expression 5^2, you 'square' the base number 5 by using the exponent '2', resulting in 25. Similarly, in the exponential function 2e^x, '2' is the initial value, 'e' is the base of the natural logarithm, and 'x' is the exponent representing the rate of change.

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An exponential function with an initial value of 2 can be represented by the equation y = 2 × aˣ. The number 2 is the output of the function when x is 0 which represents its initial value. Exponential functions involve repeated multiplication, expressed as a base number raised to an exponent.

An exponential function that has an initial value of 2 would be represented by the equation y = 2 × aˣ, where 'a' is the base of the exponent, and 'x' is the exponent itself. To understand this, it's crucial to understand how exponential functions work. They are mathematical expressions that involve an exponent or power, which is shorthand for repeated multiplications of the base number.

In this equation, the initial value is the number 2, which means when x = 0 in the function y = 2 × aˣ, the output will be 2. The 'a' in the equation represents the factor by which the function changes for each unit increase or decrease in 'x', and it can vary based on the specific function or problem context.

An example of such an equation would be y = 2 × 3ˣ, where the initial value y(0) = 2, and the base of the exponent is '3'. When dealing with Exponential Arithmetic, you're expressing very large or very small numbers as a product of two numbers, the first of which is usually a non-zero number between 1 and 10, and the second is 10 raised to an exponent.

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Answer:

[tex]6(70 + 8) = 468[/tex]

answer is b

Answer: The answer is B. hope it could help

Step-by-step explanation:

Answer:

y-4=4/5(x-5)

Step-by-step explanation:

y-y1=m(x-x1)

y-4=4/5(x-5)

Answer:

a<0.4

Step-by-step explanation:

The given inequality is

10(a+0.50)<9.00

We expand the parenthesis to get:

10*a+10*0.50<9.00

Multiply to get:

10a+5<9.00

Subtract 5 from both sides to get:

10a<9.00-5

This implies that:

10a<4

Divide both sides by 10

a<4/10

a<0.4

Answer:

i got 11%

Step-by-step explanation:

The percentage complaint about parking and location is 58%. The correct option is B

From the histogram ;

Sum of complaints : (200 + 250) = 450

The total number of complaints :

Percentage about parking and location :

Hence, the percentage complaint about parking and location is 58%

Complete Question:

Customer Complaints Estimate the total percentage of complaints about parking difficulties and the location of the store. (nearest whole percent)

A 47%

B 58%

C 75%

D 68%

Answer:

712.5

Step-by-step explanation:

The length of the rectangle is 87.1 feet

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that a rectangular yard has a width that is 1/2 times its length and an area of 3800 square feet.

Length = L

Width = W

Given that

W = 1/2 L

Area =  3800 square feet

The area of the rectangle = length × Width

3800 = L x 1/2 L

L² = 7600

L = 87.1 feet

Thus, the length of the rectangle is 87.1 feet

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Answer:

Enough water has been poured .

Step-by-step explanation:

The garden needed water in a week = 5 liters

Jacob poured water on Monday = 326 ml = ( 326/ 1000) liters = 0.326 liters.

SEAN poured water on Tuesday = 1.5 liters

Gavin poured water on Wednesday = 2312 ml = ( 2312/ 1000) = 2.312 liters.

Stephen poured water on Thursday = 894 ml = ( 894/ 1000)  = 0.894 liters

The total amount of water poured by all these people = 0.326 + 1.5 +2.312 +0. 894 = 5.032 liters

Here we can see that water has been poured is more than the water required  in a week.

After converting all the water measurements to milliliters and summing them up, the garden received 5.032 liters of water over four days, which is slightly above the required 5 liters per week. Thus, the garden received enough water.

The question asks if the garden outside Ms. Mertz's class received enough water over a week. To determine this, we need to add up the amounts of water poured each day and compare it to the required 5 liters per week.

First, we convert all measurements to the same unit (milliliters). Then we sum up all the amounts:

326 ml (Monday) + 1500 ml (Tuesday) + 2312 ml (Wednesday) + 894 ml (Thursday) = 5032 ml

Since 1 liter = 1000 milliliters, we divide 5032 ml by 1000 to convert to liters:

5032 ml = 5.032 liters

The garden received 5.032 liters over the four days, which is just above the required 5 liters of water per week.

Therefore, the garden has received enough water for the week, with a small excess of 32 ml.

Answer:

Shree should subtract 7 on both sides of the the equation ( variable side and total side. ) and then Shree would get the x = 21

Step-by-step explanation:

x + 7 = 28

   - 7    - 7

      x = 21

Answer:

1

Step-by-step explanation:

Assuming, we want to find the value of [tex]((-14)^0)^{-2}[/tex]

Recall that: any non-zero number exponent zero is 1.

Using this property, we simplify our expression to [tex](1)^{-2}[/tex] since [tex](-14)^0=1[/tex]

Now using the property of exponents: [tex]a^{-n}=\frac{1}{a^n}[/tex]

This implies that:[tex]1^{-1}=\frac{1}{1^2}=\frac{1}{1}=1[/tex]

The correct answer is 1

Answer:

The anwser in the edge is 1.

Step-by-step explanation:

The equations which have exactly one solution are:

Choice A: [tex]-78x+52=-52x-78[/tex]

Choice C: [tex]58x+52=78x-78[/tex]

Choice D: [tex]58x+52=-78x-78[/tex]

Explanation:

Choice A: [tex]-78x+52=-52x-78[/tex]

Adding both sides by 52x, we have,

[tex]-26x+52=-78[/tex]

Subtracting both sides by 52,

[tex]-26x=-130[/tex]

Dividing both sides by -26,

[tex]x=5[/tex]

Hence, the equation [tex]-78x+52=-52x-78[/tex] has exactly one solution.

Thus, Choice A is the correct answer.

Choice B: [tex]52 x+52=52 x-78[/tex]

Subtracting both sides by 52x,

[tex]52=-78[/tex]

Since, both sides are not equal.

It has no solution.

Thus, Option B is not the correct answer.

Choice C: [tex]58x+52=78x-78[/tex]

Subtracting both sides by 78x,

[tex]-20x+52=-78[/tex]

Subtracting both sides by 52,

[tex]-20 x=-130[/tex]

Dividing both sides by -20,

[tex]x=6.5[/tex]

Hence, the equation [tex]58x+52=78x-78[/tex] has exactly one solution.

Thus, Choice C is the correct answer.

Option D: [tex]58x+52=-78x-78[/tex]

Adding both sides by 78x,

[tex]136x+52=-78[/tex]

Subtracting both sides by 52,

[tex]136x=-130[/tex]

Dividing both sides by 136,

[tex]x=-\frac{65}{68}\\x=-0.956[/tex]

Hence, the equation [tex]58x+52=-78x-78[/tex] has exactly one solution.

Thus, Choice D is the correct answer.

Answer

a

Step-by-step explanation:

it must =180

Answer:

i wrote this as a decimal so um i hope this at least helps :). 1.75

Step-by-step explanation:

Answer:

slope 1

Step-by-step explanation:

change in y over cahnge in x

The slope of the line that passes through the points -10,9 and -12,7 is 1.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is defined as the ratio of the rise to the run.

Given that the line passes through the points -10,9 and -12,7. The slope of the line will be calculated as,

The slope of the line is calculated by the formula given below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 7 - 9 ) / ( -12 + 10)

Slope = ( -2 / -2 )

Slope  = 1

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Answer:

Around the 12x3

Step-by-step explanation:

(12x3)^2+36

9/24   =    3/8     =     6/16

       ÷ 3/3        x 2/2

answers: 3/8, 6/16

Answer: 879

Step-by-step explanation:

The order of operations calls for Parenthesis, Multiply, Divide, Add, Subtract. From left to right.

So we do the parenthesis first (102 - 4)

-3 + 9 (98)

Next we multiply 9 and 98

-3 + 882

Lastly we add -3 and 882

879

Answer:

89.4 inches

Step-by-step explanation:

The slant height of the square pyramid, the height of the square pyramid and half the base side of the square pyramid altogether form a right triangle.

In this right triangle, the slant height is the hypotenuse.

By the Pythagorean theorem,

[tex]91.5^2=19.4^2+h^2\\ \\h^2=91.5^2-19.4^2\\ \\h^2=8,372.25-376.36\\ \\h^2=7,995.89\\ \\h=\sqrt{7,995.89}\ in\\ \\h\approx 89.4\ in[/tex]

Answer:

0.0111 grams with the one repeating

Step-by-step explanation:

There are 0.011 grams silicone is used in each pair of headphones.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

1/8 gram of copper and 1/3 of silicone is used to manufacture 30 headphones.

Now,

Since, 1/8 gram of copper and 1/3 of silicone is used to manufacture 30 headphones.

Hence, The amount of silicone is used in each pair of headphones is,

⇒ 1/3 ÷ 30

⇒ 1/3 × 30

⇒ 1/90

⇒ 0.0111 gram

Thus, The amount of silicone is used in each pair of headphones = 0.011 g

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Answer:

C. 40%

Step-by-step explanation:

Since 2 of the 5 sections are shaded in, 2/5 of the circle is shaded in.

Simply divide 2 by 5 to get 0.4 and multiply by 100 to get 40%.

Option A:

The simplest radical form of x is [tex]3\sqrt{15}[/tex].

Solution:

Hypotenuse = 16 in

Two sides are 11 in and x.

To find the value of x:

Pythagoras theorem:

In a right angle triangle, the hypotenuse is equal to the sum of the other two sides.

[tex]11^2+x^2=16^2[/tex]

[tex]121+x^2=256[/tex]

Subtract 121 from both sides of the equation.

[tex]121+x^2-121=256-121[/tex]

[tex]x^2=135[/tex]

Taking square root on both sides of the equation.

[tex]\sqrt {x^2}=\sqrt {135}[/tex]

[tex]x=3\sqrt {15}[/tex]

Hence option A is the correct answer.

Hence the simplest radical form of x is [tex]3\sqrt{15}[/tex].

Answer:

the answer is 2 (x-3)2

Step-by-step explanation:

Answer:

(2x + 6)(x + 3)

Step-by-step explanation:

2x^2 + 12x + 18

The above equation can be factorize as follows.

First multipy the first term(2x^2) and the last term (18) together as shown below

2x^2 x 18 = 36x^2

Next we will find the factor of 36x^2 such that the sum of the two factors will result to the second term in the equation (ie 12x). This factors are 6x and 6x. Now, let us put these factors in the equation, we have:

2x^2 +12x + 18

2x^2 + 6x + 6x + 18

Now we can factorize as follows

2x(x + 3) + 6(x + 3)

Now we have same entity in the two brackets., we'll pick one

(2x + 6)(x + 3)

Answer:

425/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

first ,we use the Pythagorean theorem to determine the width:

width = √(17^2-15^2) = 8

then

perimeter = 2(width+lengt) = 2(8 + 15) = 2×23 = 46

Answer:

c

Step-by-step explanation:

3 to the power of 2 is 9. Then You do PEMDAS.

Answer:

C

Step-by-step explanation:

Use PEMDAS.

1. (21 - 3) / 3²

2. 18 / 3²

3. 18 / 9

4. 2

Answer:44

So you do 2 shapes and add them together

Answer:

44 square yd.

Step-by-step explanation:

7yd - 4yd = 3yd

8yd × 3yd = 24 square yd

5yd × 4yd = 20 square yd

Total area = 24 + 20 = 44 square yd.

Answer:

y axis over x axis is the right answer

Answer:

Rise is 2 run is -1.  Slope is [tex]-\frac{2}{1}[/tex].