Use the calculator to find the product.

(1.466 × 10–8)(5.02 × 105)

What is the coefficient of the product?


What is the exponent of the power in the product?

Answer:

You have to simplify the fraction and turn it into a decimal.

Step-by-step explanation:

Meaning: Make the fraction smaller and turn it into the correct decimal.

EXAMPLE:

2/4 simplified is 1/2

1/2 is equal to 0.50

the solutions to the equation \(2x^2 - x - 3 = 0\) are x = 1.5 or x = -0.5.

The square root of 25 can be expressed simply as 5:

x = (1 ± 5) / 4

This provides us with two potential answers:

x = (1 + 5) / 4 = 1.5

or

x = (1 - 5) / 4 = -0.5

The square root of a negative number is not a real number, so this equation does not have a real solution using geometric mean.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

Based on the provided data set, the fundamental formula to determine the mean is calculated. When calculating the mean, every term in the data set is taken into account. The ratio between the total number of terms and the sum of all the terms provides the general formula for the mean. Hence, we may state;

Mean is equal to the product of the given data and the total amount of data.

from the question:

The following formula can be used to find x using geometric mean:

\(x = \sqrt{(ab)}\)

where a and b are the two numbers whose geometric means we're interested in finding.

The two roots of the quadratic equation \(ax^2 + bx + c = 0\) in standard form can be used here as a and b. Applying the previous solutions, we obtain:

\(x = \sqrt{(1.5 (-0.5)}\)

\(x = \sqrt{(-0.75)}\)

As the square root of a negative number is not a real number, the geometric mean method cannot find a real solution to this problem.

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Here, lots of questions are asking.

The study of shapes, sizes, locations, and qualities of objects in space is referred to as geometry. It covers the examination of points, lines, angles, planes, and solid figures as well as their interrelationships. In areas including architecture, engineering, physics, and computer graphics, among others, geometry is used in real-world settings. It is frequently taught to kids starting at a young age and is a crucial component of mathematics education.

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Answer:

its 11

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Applying the Law of Cosines, the measure of the angles that the frontage will make with the two other boundaries are: 39.8° and 86.1°.

Recall:

The triangular parcel is shown in the diagram attached below.

a = 75 m

b = 117 m (frontage)

c = 95 m

∠A and ∠C represents the angles made with the two other boundaries.

Apply the Law of Cosines to solve for ∠A and ∠C.

Find ∠A using a² = c² + b² - 2cb(Cos A):

75² = 95² + 117² - 2(95)(117)(Cos A)

5,625 = 22,714 - 22,230(Cos A)

5,625 - 22,714 = -22,230(Cos A)

-17,089 = -22,230(Cos A)

\(0.7687 = Cos A\\\\A = cos^{-1}(0.7687)\\\\A = 39.8\)

Find ∠B using b² = a² + c² - 2ac(Cos B):

117² = 75² + 95² - 2(75)(95)(Cos B)

13,689 = 14,650 - 14,250(Cos B)

13,689 - 14,650 = -14,250(Cos B)

-961 = -14,250(Cos B)

\(0.0674 = Cos B\\\\B = cos^{-1}(0.0674)\\\\B = 86.1\)

Therefore, applying the Law of Cosines, the measure of the angles that the frontage will make with the two other boundaries are: 39.8° and 86.1°.

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Answer:

Correct Answer is D

Step-by-step explanation:

Answer:

Yeah it's "D"

Step-by-step explanation:

Have a Jocular Day

Answer:

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square.

Step-by-step explanation:

f the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. for Example: ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR being the right angle. hope this helps

Answer:

he should be 39 y/o

Step-by-step explanation:

you would add the 18 and 5 to get him age now, and then add the 16 years, so his age would be 39. hope this helps

Answer:

Step-by-step explanation:

Add:

Subtract:

Answer:  \(\large \boldsymbol {\sf x^2+9 }\)

Step-by-step explanation:

\(1) \\\\ \large \boldsymbol {} \sf 4x^2-2x+6 \\ + \\ \underline{2x^2+4x-1} \\\\6x^2+2x+5\)          \(2) \\\\ \large \boldsymbol {} \sf 6x^2+2x+5 \\-\\ \underline{5x^2+2x-4} \\\\x^2+9\)

Answer:

It’s D

Step-by-step explanation:

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The slope of given by:

Slope = (d - b) / (c - a)

Where (a, b) and (c, d) are the two points.

The slope of the line that passes the points (0, 0) and (-2, -6) is 3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

The slope of a straight line is zero.

We have,

Two points:

(-2, -6) and (0, 0)

The slope of given by:

Slope = (d - b) / (c - a)

We have,

(-2, -6) = (a, b)

(0, 0) = (c, d)

Slope:

= 0 - (-6) / 0 - (-2)

= 6 / 2

= 3

Thus,

The slope of the line that passes the points (0, 0) and (-2, -6) is 3.

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The first option is the correct one for the line y = x - 2:

" coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2)"

Here we want to identify the graph of the linear equation:

y = x - 2

First, notice that when we evaluate this in x = 0 we get the y-intercept:

y = 0 - 2

y = -2

Then the y-intercept there is (0, -2)

Also, evaluating the linear equation in x = -2, then we will get:

y = -2 - 2

y = -4

So we have the point (-2, -4)

Then the correct option is the first one:

" coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2)"

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Answer: they small angel is 12

Step-by-step explanation:because the third angle is 36 and 12 times three is 36  

Answer:

x=½

y=5

Step-by-step explanation:

(8x+7y=39)2

16x+14y=78

4x-14y=-68 add the two equations

20x=10.

divide both sides by 20

x=½

8x+7y=39

4+7y=39

7y=39-4

7y=35

y=5

The value of x and y in the system of equation using elimination method is 1 / 2and 5 respectively.

8x + 7y = 39

4x – 14y = –68

Multiply by 2

16x + 14y = 78

-14y + 14y = 0

4x + 16x = 20x

-68 + 78 = 10

20x = 10

x = 1 / 2

8(1 / 2) + 7y = 39

4 + 7y = 39

7y  = 35

y = 35 / 7

y = 5

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Answer:

Step-by-step explanation:

If the acres of forest available for logging will increase at a rate given by

R(t) = 56/√t + 7

In order to determine the acre of forest that become available after 5 years, we will substitute t = 5 into the formula.

R(5) = 56/√5 + 7

R(5) = 56/2.236 + 7

R(5) = 25.044 + 7

R(5) =  32.044

The amount that will be available over the first five years is 32 thousand acres

Slope of line SP: -1

Slope of line FJ: -1

Point-Slope Form of Line FJ: \(y=-x-6\)

What to type inside the orange box? You must type "-x-6".

Concept. A parallel line to line SP. A parallel line is a line that has the same slope as another line, therefore, the line parallel to SP has the same slope of SP.

Let's solve!

1. Find the slope of line SP.

Line SP's expression is: \(y=-x-14\).

The slope of a linear function is always given by the coefficient of x when the equation is solved for y. Hence, the slope of line SP is -1, because x is being multiplied by -1.

2. Form the equation for line FJ.

Use the formula for finding linear equations: \(y-y_{1} =m(x-x_{1} )\), where m is the slope of the line, \(x_{1}\) is the x value of a point where the line passes, and \(y_{1}\) is the y value of a point where the line passes. \(x_1\) and \(y_1\) must be taken from a single point where the function passes.

Let's take the formula and find the equation for line FJ:

a. Substitute in the formula.

\(y-(0) =(-1)(x-(-6) )\)

b. Simplify.

\(y-(0) =(-1)(x-(-6) )\\ \\y=(-1)(x+6)\\ \\y=-x-6\)

3. Express your answers.

Slope of line SP: -1

Slope of line FJ: -1

Point-Slope Form of Line FJ: \(y=-x-6\)

Answer:

-3.78

Step-by-step explanation:

The opposite of a positive number will always be negative, and the opposite of a negative number will always be positive.

Answer:

6/53

Step-by-step explanation:

Answer:

The equation is y=2/3x-7

Step-by-step explanation:

-9-(-7) /-3-0

-2/-3

that's your answer

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Define Decimal place?

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Answer:

I got a decimal

Step-by-step explanation:

0.857142857

Answer:

Step-by-step explanation:

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

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

The possibility of selecting the password = 26 * 25 * 24 * 10 = 156000

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

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Answer:

$9,287.67

Step-by-step explanation:

Number of years 5

Interest per pd 3%

FV 10,000

Calculator.net has a financial calculator that will greatly help you

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + r/n)^{nt}\)

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

The amount to deposits so that after 5 years, 10,000 is the amount is

$7,440.94

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + r/n)^{nt}\)

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

r = 6%

n = 2

A = $10,000

t = 5 years

A = P \((1 + r/n)^{nt}\)

P = 10,000 / \((1 + 0.03)^{10}\)

P = 10,000 / \((1.03)^{10}\)

P = $7,440.94

Thus,

The amount to deposits so that after 5 years, 10,000 is the amount is

$7,440.94

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Answer:

6 tablespoons of baking soda

Step-by-step explanation:

There are 8 fluid ounces in 1 cup and shes going to use half a cup so that means shes going to use 4 fluid ounces of vinegar. To find how much baking soda she is going to use, we are going to multiply.

1.5 * 4 = 6

Best of Luck!

Answer:

3 Tablespoons, 6 teaspoons

Step-by-step explanation:

In order to find the right ratio of Baking Soda to Vinegar we have to find ratio given,... they tell us that for every 1.5 teaspoon of baking soda, you must add 1 fluid ounce or vinegar,... thus the ratio of Baking Soda to Vinegar is (1.5 teaspoon / 1 Fluid ounce)

There are:

3 teaspoons = 1 Tablespoons

8 fluid ounces = 1 cup

So if you use 0.5 cups of Vinegar as they tell us we do than that is the same thing as using 4 Fluid ounce, and because your problem say 1.5 teaspoon of baking soda for every Fluid ounce of vinegar all you have to do it multiply your 1.5t by your 4 to get how many teaspoons of Baking Soda you will need,...

1.5 * 4 = 6

You need 6 teaspoons or 3 Tablespoons,...

Hope that helps,... and I'll see you in life,... well not, literally, but you get what I mean,... Chow!

Answer:

time

Step-by-step explanation:

One of the most common graphs is a line graph, also known as a line chart. This graph takes the form of a curve, which is a broken line drawn on an often grid surface. This type of graph is used to illustrate the development of a phenomenon over some time. The curve, drawn by joining the points corresponding to the data, makes it possible to demonstrate an element's variation over time. The title given to the graph will reflect this variation; we will therefore find names like increase, decrease, fluctuation, decline, growth, progression, increase, etc.

We generally place, by convention, the time variable on the horizontal axis (called the abscissa) and the variable corresponding to the phenomenon studied on the vertical axis (called the ordinate).

Differentiate both sides of

xy ³ - 2x ²y ² = 0

with respect to x :

d(xy ³ - 2x ²y ²)/dx = d(0)/dx

d(xy ³)/dx - 2 d(x ²y ²)/dx = 0

By the product rule,

d(x)/dx y ³ + x d(y ³)/dx - 2 (d(x ²)/dx y ² + x ² d(y ²)/dx) = 0

By the chain rule,

y ³ + 3xy ² dy/dx - 2 (2xy ² + 2x ²y dy/dx) = 0

y ³ + 3xy ² dy/dx - 4xy ² - 4x ²y dy/dx = 0

y ³ - 4xy ² + (3xy ² - 4x ²y) dy/dx = 0

(3xy ² - 4x ²y) dy/dx = 4xy ² - y ³

dy/dx = (4xy ² - y ³) / (3xy ² - 4x ²y)

dy/dx = (4xy - y ²) / (3xy - 4x ²)

At the point (1, 2), the gradient is

dy/dx (1, 2) = (4×1×2 - 2²) / (3×1×2 - 4×1²) = 4/2 = 2

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

If 13800 adult Pacific newts made their annual migration between November 2020 and March 2021, Roughly 2/5 didn't survive the trip, then the number of newts survived crossing the road is 8280 newts

The number of adult Pacific newts made their annual migration = 13800

Roughly 2/5 didn't survive the trip

Then the number of newts didn't survive = 13800×(2/5)

= 13800×0.4

= 5520 newts

To find the number of newts survived, we have to use subtraction

The number of newts survived crossing the road = 13800-5520

= 8280 newts

Hence, If 13800 adult Pacific newts made their annual migration between November 2020 and March 2021, Roughly 2/5 didn't survive the trip, then the number of newts survived crossing the road is 8280 newts

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As a percentage, a card at random 5, 6, 7, 8 9, 7.5, 6.42, 5.62. Per cent is derived from the Latin adverbial phrase per centum, which means "by the hundred." The Latin phrase made its way into English in the 16th century.

Therefore,

45/5 = 9

45/6 = 7.5

45/7 = 6.42

45/8 = 5.62

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To write the associated situation to an algebraic equation, you analyze part by part.

Name V as the volume.

8 less than triple the volume:

3V - 8

is at least 110:

≤ 110

the complete expression is:

3V - 8 ≤ 110