Holly increases 800 by 10%.
She then decreases the result by 10%.
What is her final number?

Based on the concept of measurement, the decimal equivalent is 0.75.

To start, it is important to understand that time is a form of measurement that can be expressed in a variety of ways, including hours, minutes, seconds, and even fractions of seconds. Decimals are also a common way to express time, especially in situations where precision and accuracy are important.

To convert 45 minutes into a decimal, you need to first understand the relationship between minutes and hours.

There are 60 minutes in one hour, which means that 45 minutes is equivalent to 0.75 hours

=> (45/60 = 0.75).

Once you have this decimal equivalent, you can express it in a variety of ways, depending on the context.

If you were measuring time in terms of a workday (i.e. 8 hours), 0.75 hours would be equal to 45 minutes. On the other hand, if you were measuring time in terms of a percentage of an hour (i.e. 100%), 0.75 hours would be equal to 75%.

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The link represented by function g multiplies the dependent variable by 9 for every increase of 2 units in the independent variable. The equation that represents g is [tex]g(x)= 2 \times3^x[/tex],and the function has a value of 2 at 0

Let x be the independent variable, and let g(x) be the dependent variable.

According to the problem, for every 2 units the independent variable increases, the dependent variable is multiplied by 9. This suggests an exponential relationship of the form:

 [tex]g(x)= a \times b^x[/tex]

where a is the initial value of the dependent variable (when x=0), and b is the growth factor (how much the dependent variable changes for every unit increase in x).

We are given that g(0) = 2, so we can plug in these values and solve for a:

 [tex]g(0)= a \times b^0[/tex]

a = 2

So now we have:

[tex]g(x)= 2 \times b^x[/tex]

We still need to find the growth factor b. We are told that the dependent variable is multiplied by 9 for every 2 units the independent variable increases. In other words:

[tex]g(x+2) = 9 \times g(x)[/tex]

Using our equation for g(x), we can substitute in and simplify:

  [tex]2 \times b(x+2) = 9 \times 2\times b^x[/tex]

Simplifying, we get:

[tex]b^2[/tex] = 9

Taking the square root of both sides (we take the positive square root since b must be positive in order for g to be an increasing function), we get:

b = 3

So the final equation for g(x) is:

[tex]g(x) = 2 \times 3^x[/tex]

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Answer:

Below

Step-by-step explanation:

a = 6 (Real numbers greater than 3)

b = 2 (Real numbers less than 8)

c = 1 (One satisfies this)

The null space of A is spanned by the vector x = (t, -t, -t, -t), where t is a real number

Vectors are an important mathematical tool for representing data, equations, and other mathematical objects. In this problem, we are given a matrix A and asked to find a non-zero vector x in the null space of A.

The matrix A = | | 1-1-1-1 | can be reduced to row-echelon form using row operations. The resulting matrix is A = | | 1 0 0 0 | , which has a single non-zero row, indicating that the null space of A is one-dimensional.

Therefore, the non-zero vector x in the null space of A can be written as x = (t, -t, -t, -t), where t is a real number.

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To discover the coordinates of a polar point, you need to recognize its distance from the origin (the polar axis) and the perspective it makes with the superb x-axis.

The space is commonly denoted via the image r, and the angle is denoted by means of the image θ. To devise a polar point, you start by locating the foundation and drawing a line alongside the polar axis.

Subsequently, you measure the angle θ from the fine x-axis, shifting counterclockwise.

In the end, your degree the distance r from the starting place and plot the factor on the corresponding location.

To find the coordinates of a polar point, you can use the subsequent formulas:

x = r cos(θ)

y = r sin(θ)

Right here, x and y constitute the rectangular coordinates of the factor, while r and θ constitute the polar coordinates.

Those formulas let you convert between polar and rectangular coordinates, which can be useful for graphing and solving problems in diverse branches of mathematics and physics.

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The solution to the equation −3 + 5a = 4a − 10 is a = -7.  

First, we will start by subtracting 5a from both sides of the equation. This is the inverse operation of adding 5a to both sides. By subtracting 5a, the left side of the equation becomes -3 and the right side of the equation becomes -10.

=>−3 + 5a -5a = 4a - 5a − 10

=> -3 = -a - 10

So, we will add 3 to both sides of the equation. This will make the left side of the equation 0, and the right side of the equation -7.

=> -a = 7

Now that the equation reads a = -7, we can use the inverse operation of multiplication, which is division, to get the variable a on one side of the equation and the numbers on the other side.

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Complete Question:

Equations w/ variable on both sides Solve each equation.

1) −3 + 5a = 4a − 10

The area for the given geometric shape will be 166.5 inch² i.e. B.

What are geometric shapes, exactly?

Geometric forms are mathematical representations that represent the shape of everyday items. Geometric forms with boundary lines, angles, and surfaces are known as shapes. There are several 2d and 3d forms.

Shapes can also be classed based on their regularity or homogeneity. A symmetrical regular form, such as a square or circle, is common. Asymmetry can take on irregular shapes. They're also referred to as organic forms or freeform shapes. A tree, for example, has an irregular or organic shape.

In plane geometry, two-dimensional forms are flat shapes and closed figures such as circles, squares, rectangles, rhombuses, and so on. In solid geometry, the three-dimensional shapes are the cube, cuboid, and sphere.

Now,

Area of the shape will be = Area of rectangle + Area of triangle

For rectangle, length=16 inch, Breadth=9 inch

For triangle, base=6 inch, height=7.5 inch

then area of shape=l*b+1/2*b*h

=16*9+1/2*6*7.5

=144+22.5

=166.5 inch²

hence,

             The area for the given geometric shape will be 166.5 inch².

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The three internal angles of the triangle are α = 21.3°, β = 139.7°, and θ = 88.9°.

We can use the Law of Cosines to solve for the angles of the triangle:

cos(α) = (b² + c² - a²) / (2bc)

cos(β) = (a² + c² - b²) / (2ac)

cos(θ) = (a² + b² - c²) / (2ab)

Substituting the values given in the problem, we get:

cos(α) = (12.2² + 50.6² - 18.5²) / (2 x 12.2 x 50.6) = 0.929

α = cos⁻¹(0.929) = 21.3°

cos(β) = (18.5² + 50.6² - 12.2²) / (2 x 18.5 x 50.6) = -0.777 (note the negative value)

β = cos⁻¹(-0.777) = 139.7°

cos(θ) = (18.5² + 12.2² - 50.6²) / (2 x 18.5 x 12.2) = 0.056

θ = cos⁻¹(0.056) = 88.9°

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Answer: Part A: Option C) 7.5x≥60

Part B: 8 hours

Step-by-step explanation:

Part A: To represent the situation in terms of x hours, we can use the formula:

Distance driven ≤ distance the car can travel per hour × hours the car is charged

Since Eva needs to drive at least 60 miles and the car can travel 7.5 miles per hour of charging, we can write the inequality as:

60 ≤ 7.5x

The correct answer is (C) 7.5x ≥ 60.

Part B: To find the least amount of time that Eva will need to charge her car, we can solve the inequality from Part A as follows:

7.5x ≥ 60

x ≥ 8

This means that Eva will need to charge her car for at least 8 hours to be able to drive at least 60 miles.

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The area of the shaded region is 64(1 - π) cm².

The area of a semicircle is -

A = πr²/2

Given is a 2 - D figure as shown in the image.

We can write the area of the shaded region as -

A{shaded} = A{square} - 2 x A{semicircles}

A{shaded} = 64 - 2 x 1/2 x π x (8)²

A{shaded} = 64 - 64π

A{shaded} = 64(1 - π)

Therefore, the area of the shaded region is 64(1 - π) cm².

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{Question in english -

Calculate the shaded area of ​​each of the

figures presented below.}

Answer:

3. $1664.99

Step-by-step explanation:

1) the area of triangle is

a = 14

b = 19 + 33 - 28 = 24

S = 24 * 14 * 1/2 = 168 ft^2

2) the are of rectangle between the biggest rectangle and triangle is

a = 28 - 19 = 9

b = 14

S = 14 * 9 = 126 ft^2

3) the area of rectangle is

19 * 37 = 703 ft^2

4) the sum of all areas is

703 + 126 + 168 = 997

5) the wax will cost

997 * 1.67 = 1664.99

Answer:

Angle 5 is 105 degrees.

Step-by-step explanation:

[tex]180-75[/tex]

[tex]105[/tex]

10 feet to meters can be find out by simply dividing the 10 feet by 3.081 so the  value will be 3.048 meters.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

One foot is equal to 0.3048 metres, or 3048/10000 metres. So, you multiply 10 by either 0.3048 or 3048/10000 to convert 10 feet to metres.

For the decimal answer, we use 0.3048, and for the fractional answer, we use 3048/10000. The math, formulas, and conversions from 10 feet to metres are shown below.

0.3048 metres divided by feet

10 feet = 3.048 metres, or 10 divided by 0.3048.

metres equal 3048/10000 feet.

10 × (3048/10000) = 3 6/125

10 feet equals 36/125 metres.

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still If we plug in x = -2 into the original equation.

A logarithm is a mathematical function that helps to determine how many times a particular number must be multiplied by itself to obtain a specific value. In other words, the logarithm of a number is the exponent to which another fixed value, called the base, must be raised to produce that number.

Given by the question.

Using logarithm rules, we can simplify the left-hand side of the equation:

log2x + log2(x – 6) = log2(x (x – 6))

So, the equation becomes:

log2(x (x – 6)) = 4

Using the description of logarithms, we can rewrite this as:

[tex]2^{4}[/tex] = x (x – 6)

Simplifying the left-hand side, we get:

16 = [tex]x^{2}[/tex] – 6x

Moving all the terms to one side, we get a quadratic equation:

[tex]x^{2}[/tex] – 6x – 16 = 0

We can break this using the quadratic formula:

x = [6 ± sqrt ([tex]6^{2}[/tex]+ 4(1)(16))] / 2

x = [6 ± sqrt (100)] / 2

x = [6 ± 10] / 2

x = 8 or x = -2

still, we need results are valid, because we cannot take the logarithm of a negative number or of zero.

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a) The simple interest earned is $810. b) The annual interest rate paid by the credit union is 5.4%. c) It will take about 12.81 years for Mr. Adams' investment to be doubled at the same rate of interest.

a) To find the simple interest earned, we can use the formula:

Simple interest = Principal x Interest rate x Time

Where the principal is $5,000, the time is 3 years, and the total amount received at the end of 3 years is $5,810. We can rearrange the formula to solve for the interest rate:

Simple interest = $5,810 - $5,000 = $810

Interest rate = Simple interest / (Principal x Time)

Interest rate = $810 / ($5,000 x 3)

Interest rate = 0.054 or 5.4%

b) The annual interest rate paid by the credit union is 5.4%.

c) To find the length of time it will take for Mr. Adams' investment to be doubled at the same rate of interest, we can use the formula:

Doubling time = ln(2) / ln(1 + r)

Where r is the interest rate as a decimal. Plugging in the values:

Doubling time = ln(2) / ln(1 + 0.054)

Doubling time ≈ 12.81 years

Therefore, it will take about 12.81 years for Mr. Adams' investment to be doubled at the same rate of interest.

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Complete question:

Mr. Adams invested $5,000 at the credit union and received $5,810, inclusive of simple interest, after 3 years. Determine:

a) The simple interest earned

b) The annual interest rate paid by the credit union

c) The length of time it will take for Mr. Adams' investment to be doubled, at the

same rate of interest.

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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The function that is positive for the entire interval [-3, -2] is:

The function has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0). This means that the function is positive for the entire interval [-3, -2] because it is above the x-axis for this interval.

To further explain, a function is positive when its value is above the x-axis on a coordinate plane. In this case, the first function has a minimum value of (0, -3) which means that it is below the x-axis at this point. However, it crosses the x-axis at (-3, 0) and (3, 0), meaning that it is above the x-axis for the entire interval between these two points, including the interval [-3, -2].

The other functions are not positive for the entire interval [-3, -2] because they either have minimum values that are below the x-axis within this interval, or they cross the x-axis within this interval, meaning that they are not positive for the entire interval.

In conclusion, the function that is positive for the entire interval [-3, -2] is the first one because it is above the x-axis for this entire interval.

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The converted value of degrees Celsius to Fahrenheit which needs to convert  4 degrees Celsius equals to 39.2 degree Fahrenheit.

Scale factor which defines  the relation between Celsius and Fahrenheit is equal to :

(°C × 9/5) + 32 =°F

Now , to get the value of 4 degree Celsius and convert into Fahrenheit apply the above formula we have,

(4°Celsius × 9/5) + 32

= ( 36 / 5 ) + 32

= ( 7.2 ) + 32

= 39.2°Fahrenheit

Therefore, the converted value from degrees Celsius to Fahrenheit for the given temperature 4 degrees Celsius is equivalent to  39.2 Fahrenheit.

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hello,

we already know that for 2 hours of babysitting, Mara earned $25.

to find how much she'd make for 5 hours of babysitting:

divide 25 by 2 which gets us 12.50.

if mara were to babysit for 5 hours, she'd make $62.50.

I hope this was helpful =]

Answer:

2 hours

Step-by-step explanation:

1 hour from before she does her soccer practice and another 1 hour after her soccer practice so it's going to be

1+1=2

Answer: she works on her homework in total for 2 hours.

Step-by-step explanation: 1+1=2, 60 minutes are in 1 hour, 60+60=120 minutes= 2 hours

The rate of change of the area is equal to -3 * 8^2 = -12.694 in2/min.

The rate of change of the area is the rate at which the area is increasing or decreasing over a given period of time. It is calculated by taking the difference between the initial and final area values and dividing it by the amount of time it took for the change to occur.

For example, if the area of a square increases from 10 square meters to 12 square meters over a period of two days, then the rate of change of the area would be (12-10)/2 = 1 square meter per day.

The rate of change of the area of a circle is equal to the negative of the product of the rate of change of the radius and the square of the radius. The rate of change of the radius is given as -3 inches per minute, and the radius is given as 8 inches. So, the rate of change of the area is equal to -3 * 8^2 = -12.694 in2/min.

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The number of days when there were at least 40 children in the park is 5 days.

To find the number of days that saw at least 40 children in the park, check the instances when there were either 40 children or more in the park.

Given the stem and leaf plot, the children in the park on days when there were more than 40 children or 40 children was:

The number of days is therefore 5 days.

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A pound is about equivalent to 0.453592 kilos. By multiplying the amount of pounds by 0.453592, you may convert pounds to kilogrammes.

So, the value of 77 kg is equal to 169.755 lbs.

The kilogramme is the primary mass unit in the metric system (kg). The masses of one kilogramme and one thousand cubic centimetres of water are comparable.

The weight of one pound is about equivalent to 454 grammes. A kilogramme is equivalent to 2.20462 pounds.

The value of One pound is 0.45359237 kilograms.

To convert kilograms to pounds,

We have to multiply given figure by 2.20462

To convert 77 kg to lbs, you can multiply 77 by 2.20462:

77 kg X 2.20462 lbs/kg

= 169.755 lbs

Therefore, 77 kg is nearly equal to 169.755 lbs.

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Or you could pick any integer larger than this.

=====================================================

Work Shown:

23% = 0.23 in decimal form

x = some positive number

1/x < 0.23

1 < 0.23x .... see note below

0.23x > 1

x > 1/0.23

x > 4.347826 approximately

If x is an integer, then the smallest it can get is x = 5

Check:

Note: The inequality sign does not flip in the 2nd step shown above because x is positive. The sign only flips if we multiplied both sides by a negative value.

Answer:Y=20

Step-by-step explanation:

growth

Answer:

1 acre=43560 square feet

Step-by-step explanation:

1 acre is 43560 square feet

The heart-shaped curve traced around a point on the circumference of a circle rolling completely around an equal fixed circle is called a "Cardioid."

A cardioid is a mathematical curve that is formed by tracing a point on a circle that rolls around another fixed circle. The term "cardioid" is derived from the Greek word "kardia," which means heart, as the curve resembles the shape of a heart. The cardioid curve has several interesting properties, including symmetry about a line called the "polar axis." The curve also has a "cusp" at the bottom point of the heart shape, where the curve changes direction abruptly. The length of the curve is four times the diameter of the rolling circle. Cardioids have applications in a variety of fields, including mathematics, physics, and engineering. They are used in the design of certain types of antennas, in the analysis of fluid flow, and in the study of planetary motion. They also have applications in the creation of heart-shaped designs in art and decoration. In summary, a cardioid is a heart-shaped curve that is formed by tracing a point on the circumference of a circle that rolls completely around an equal fixed circle. It has unique properties and applications in a variety of fields.

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The conversion of 80°C to Fahrenheit is equivalent to 176 degrees Fahrenheit.

Whereas most other nations and for scientific reasons across the world use the Celsius or centigrade scale, the United States uses the Fahrenheit system.

The formula to convert a temperature from the Celsius (°C) scale to its Fahrenheit (°F) equivalent is:

°F = (9/5 × °C) + 32.

To convert 80 degrees Celsius to Fahrenheit, we can use the following formula:

°F = (°C x 1.8) + 32

Plugging in the value for 80°C, we get:

°F = (80 x 1.8) + 32

°F = 144 + 32

°F = 176

Therefore, 80 degrees Celsius is equivalent to 176 degrees Fahrenheit.

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Answer:

21x + 7

Step-by-step explanation:

See picture below :)