What single percentage change is equivalent to a 19% decrease followed by a 15% increase?

Answer: Three Equivalent ratios for 1 2/3:4/4 = 4:1, 4:1, 4:1

Step-by-step explanation:

Define Equivalent ratio:

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.

All equivalent fractions get reduced to the same fraction in their simplest form.

Explanation:

All those fractions obtained by multiplying both the numerator and denominator of 12/3 by the same integer are equivalent to 12/3.

12/3 × 2/2  = 24/6 = 4

12/3 × 3/3 = 36/9 = 4

12/3 × 4/4 = 48/12 = 4

4, 4, 4,  ... are equivalent to 12/3.

All those fractions obtained by multiplying both the numerator and denominator of 4/4 by the same integer are equivalent to 4/4.

4/4 × 2/2  = 8/8 = 1

4/4 × 3/3 = 12/12 = 1

4/4 × 4/4 = 16/16 = 1

1, 1,1,  ... are equivalent to 4/4.  

Therefore,

Equivalent ratios for 1 2/3:4/4 = 24/6:8/8, 33/9:12/12, 48/12:16/16

Three Equivalent ratios for 1 2/3:4/4 = 4:1, 4:1, 4:1

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[tex]\displaystyle\\Answer:\ 6\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\4\frac{2}{3} -(-1\frac{1}{2})=\\\\ 4\frac{2}{3} +1\frac{1}{2}=\\\\\frac{4*3+2}{3} +\frac{1*2+1}{2}=\\\\\frac{12+2}{3}+\frac{2+1}{2}=\\\\\frac{14}{3}+\frac{3}{2}=\\\\\frac{(14)(2)+(3)(3)}{(3)(2)} =\\\\\frac{28+9}{6} =\\\\\frac{37}{6} =\\\\\frac{36+1}{6}=\\\\\frac{36}{6} +\frac{1}{6}=\\\\\frac{(6)(6)}{6}+\frac{1}{6}=\\\\6+\frac{1}{6}=\\\\6\frac{1}{6}[/tex]

Answer:

B -N

Step-by-step explanation:

A This is -1 x - N. a negative times a negative is always positive. So -1 x -N = 1N= N

C The absolute value of N is N so this is also correct.

D The absolute value of a negative number is always positive so |-N| = N

Answer:

MN = 5

Step-by-step explanation:

From inspection of the given diagram:

Therefore:

[tex]\implies \sf MN+NR=MNR[/tex]

[tex]\implies 2.5x+x=5x-3[/tex]

[tex]\implies 3.5x=5x-3[/tex]

Add 3 to both sides:

[tex]\implies 3.5x+3=5x-3+3[/tex]

[tex]\implies 3.5x+3=5x[/tex]

Subtract 3.5x from both sides:

[tex]\implies 3.5x+3-3.5x=5x-3.5x[/tex]

[tex]\implies 3=1.5x[/tex]

[tex]\implies 1.5x=3[/tex]

Divide both sides by 1.5:

[tex]\implies 1.5x \div 1.5=3 \div 1.5[/tex]

[tex]\implies x=2[/tex]

Substitute the found value of x into the expression for MN:

[tex]\implies \textsf{MN}=2.5(2)[/tex]

[tex]\implies \textsf{MN}=5[/tex]

The system of equations are:

c + b = 1285

170c + 480b = 477,300

Two equations would be derived from the information provided in the question. The equations are known as simultaneous equations. The equations would have to be solved together in order to determine the required values.

The methods that can be used to solve simultaneous equations are:

The form of the equations is:

Number of catastrophic plan sold + number of bronze plans sold = total plans sold

Cost of the catastrophic plan x number of the plan sold) + (number of bronze plan sold x cost of the plan) = total cost of the plans

c + b = 1285

170c + 480b = 477,300

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The function g whose graph is a reflection in the x-axis of the graph of f is g(x) = -2x - 3

The points on the function f are given as

(0,3) and (3,9)

Calculate the slope of f using

m = (y2 - y1)/(x2 - x1)

So, we have

m = (9 - 3)/(3 - 0)

Evaluate

m = 2

A linear equation is represented as

y = mx + c

Where m = slope

i.e. m = 2

c = y-intercept

i.e. c = y, when x = 0

In (0,3), we have

c = 3

So, the equation is

y = 2x + 3

The reflection of the equation on the x-axis is

g(x) = -f(x)

So, we have

g(x) = -2x - 3

Hence, the function g whose graph is a reflection in the x-axis of the graph of f is g(x) = -2x - 3

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Answer:

x + y = 10

Step-by-step explanation:

The solution of each equation 2 e -x=20 is -7.281.

2 e -x=20

Here e=2.7182

e-x =10

x = -7.281

A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

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YES , both the function will have same domain and range.

Domain and Scope The domain of a function is the set of values that we are allowed to enter into our function. This collection includes the x values for a function like f. (x).

The range of values that a function can accept as input is known. When we enter an x value, the function returns this list of values.

All Real x, x not = 0 is the domain (the range of potential values for x).

Since 6/0, 8/0, and 12/0 are not defined, x = 0 is not considered.

All Real f(x), f(x) not = 0 is the range.

Because 6 / and 6 / - will never equal 0, f(x) = 0 is not included. The same is true for 8/x and 12/x.

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12[tex]y^{-2}[/tex] = 20 => y = 0.774, by basic algebra.

Given: 12[tex]y^{-2}[/tex] = 20

=> [tex]\frac{12}{y^2}[/tex] = 20

=> [tex]\frac{12}{20} = y^2[/tex]

=> [tex]y^2 = \frac{3}{5} = 0.6[/tex]

=> y = 0.774.

Hence, 12[tex]y^{-2}[/tex] = 20 => y = 0.774, by basic algebra.

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The figure consists of dodecahedrons having different edge length, e.

The external volume, [tex] V_{e}[/tex], is given by the formula;

The internal volume, [tex] V_{i}[/tex], is given by the formula;

The given figures consists of solids that are pentagonal faced.

The number of faces of the solid = 12

The shape of the solids are known as a dodecahedron

The formula for the external volume, [tex] V_{r}[/tex], is given as follows;

[tex]V_e = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_e}^{3} [/tex]

Where;

[tex] e_{e}[/tex] = The length of the edges on the outside of the dodecahedron.

Given that the length of the edges on the inside are measured to be [tex] e_{i}[/tex], the internal volume is given by the formula;

[tex] V_i = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_i}^{3} [/tex]

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Answer:

1,2,5,10

Step-by-step explanation:

hope this helps

Answer:

$1,045,000,000 = $1.045 billion.

Step-by-step explanation:

Pittman–Robertson Act

The Pittman–Robertson Act (Federal Aid in Wildlife Restoration Act of 1937) requires an 11% excise tax to be paid on the sale of firearms, ammunition, and archery equipment to be used by state governments to fund wildlife restoration.

Given information:

The money raised for conservation can be calculated by finding 11% of the number of firearms sold multiplied by the average selling price.

[tex]\begin{aligned}\textsf{Money raised}&=11\% \textsf{ of }19,000,000 \times \$500\\\\& = \dfrac{11}{100} \times 19,000,000 \times 500\\\\& = \dfrac{11\times 19,000,000 \times 500}{100} \\\\& = \dfrac{104,500,000,000}{100} \\\\& = 1,045,000,000\end{aligned}[/tex]

Therefore, the total amount of money raised was $1,045,000,000 ($1.045 billion).

Answer:

Step-by-step explanation:

To calculate the amount of money raised for conservation from the sale of firearms during 2020, we'll follow these steps:

Step 1: Calculate the total revenue generated from firearm sales.

Total revenue = Number of firearms sold * Price per firearm

Total revenue = 19,000,000 * $500

Total revenue = $9,500,000,000

Step 2: Calculate the amount of excise tax collected.

Excise tax = Total revenue * Excise tax rate

Excise tax = $9,500,000,000 * 0.11

Excise tax = $1,045,000,000

Therefore, the amount of money raised for conservation from the sale of firearms during 2020, based on the given information, is $1,045,000,000.

Answer:

$2.53

Step-by-step explanation:

Unit price = total price / quantity

Unit price = $12.65 / 5

Unit price = $2.53

Answer: she spent 40 minutes answering the phone calls

Step-by-step explanation:  

Its 40 minutes because she spends 20 minutes delivering flowers and she worked at the hospital for 60 minutes that day. So, if you take away the 20 minutes for the 60 minutes, she spent she will only have 40 minutes left to answer calls.

Answer: 3657

Step-by-step explanation:

18-15=3

15-12=3

3 ==> rate of change per term

3*46=138

138-3=135

135+12=147 ==> 46th term

Now find the average of the first and 46th term of the sequence:

(147+12)/2=

159/2=79.5

Now multiply the average by 46 to find the sum of the sequence.

79.5*46=

159*23=3657 ==> sum of 46 terms

The option that describes Myra’s distance as time increases is increasing.

Looking at the table provided, it can be seen that as time passes, the distance ran by Myra increases. It can be seen that distance increases from 0.4miles to 0.8 miles when time increases from 2 seconds to 4 seconds.

Change in distance run per time = change in distance / change in time

(0.4 - 0) / (2 - 0)

0.4 / 2 = 0.2

Myra's distance increases by 0.2 per second. This means that Myra is running at a constant speed. Thus, the rate of the increase in the distance run by Myra is a constant 0.2 per second.

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Answer:

the answer is increasing

Given u = [-5 3], v = [4 -3] , and w = [2 2], by applying addition and scalar multiplication of vectors, 2u + 3v = [2, -3]

In the 2D coordinate system, vectors can be split into x-component and y-component.

A vector s = [3,–1], which means:

x-component = 3

y-component = –1

Some vector operations:

In the given problem:

u = [-5 3], v = [4 -3] , and w = [2 2]

Then,

2u = 2.[-5 3]

    = [2.(-5), 2. 3] = [-10, 6]

3v = 3. [4 -3]

     = [3. 4, 3. (-3)] = [12, -9]

Hence,

2u + 3v =  [-10, 6] + [12, -9]

            = [-10+12, 6-9]

            = [2, -3]    

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[tex]763 \times 10 {}^{3} = 7.63 \times 10 {}^{5} [/tex]

the number of roots of the polynomial 7 + 5 x⁴ - 3 x² is 4.

We are given a polynomial:

7 + 5 x⁴ - 3 x²

We need to tell the number of roots that the polynomial has.

a polynomial is an expression consisting of indeterminates and coefficients.

It is the one that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Example: x² − 4x + 7.

We know that:

Number of roots = highest power of the variable of the polynomial

Here, the number of roots will be:

roots = 4

Therefore, we get that, the number of roots of the polynomial 7 + 5 x⁴ - 3 x² is 4.

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The quotient of 405/27 fraction using division is 15.

It should be noted that the information is simply to divide the numbers.

In this case, the numerator is 405 and the denominator is 27

Therefore, the quotient based on the information illustrated will be:

= 405 / 27

= 15

Therefore, the quotient is 15.

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Answer:

734.52

Step-by-step explanation:

Subtract

According to the question, the equation [tex]\frac{x+1}{x^{2} +1}[/tex] is the algebraic equation as well as polynomial equation. Using square root principles, the equation can be re-write.

The factors of the denominator term is not possible and it cannot be simplified. And the simplification is possible with the concept of complex number.

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

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Answer:

circumcentre

Step-by-step explanation:

the point of intersection of of the perpendicular bisectors of the triangle's sides is called the circumcentre.

The circumcentre is equally far away from the triangle's 3 vertices.

The following proportion by cross multiplying:

( x + 2 ) / 6 = ( x - 4 ) / 3 is -19

Given:

( x + 2 ) / 6 = ( x - 4 ) / 3

( x + 2 )=2(x-4)

x+2=2x-8

x=-10

If the ratio between the first and second amounts is identical to the ratio between the second and third, the three quantities are said to be in continuing proportion. Similarly, the ratio between the first and second amounts in a continuous proportion will be equal to the ratio between the third and fourth.

Consider the following two ratios: a:b and c:d. We shall convert the means of the two specified ratio terms to a single term/number in order to get the ongoing proportion.

This is the LCM of means in general, and for the given ratio, the LCM of b & c is bc. As a result of multiplying the first ratio by c and the second ratio b.

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