Montserrat can make 4 bracelets in 2 1/4 hours. How many bracelets can she make per hour

Answer:

$2.53

Step-by-step explanation:

Unit price = total price / quantity

Unit price = $12.65 / 5

Unit price = $2.53

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 greatest integer that is less than the value of the logarithm log17.52 is 1.

We are required to check the value of greatest integer that is less than log17.52

As no base is mentioned, let us consider the base to be 10

Thus, we are required to find the value of log₁₀17.52

log₁₀17.52=log₁₀10+log₁₀7.52

log₁₀10=1

log₁₀7.52=log₁₀752/log₁₀100

                =log₁₀752-2log₁₀10

                = 2.876-2=0.876

Thus, log₁₀17.52=1+0.876 =1.876

Thus , log₁₀17.52 is 1.876

Therefore, The greatest integer that is less than the value of the logarithm log17.52 is 1

Disclaimer:

Since no base has been provided for the logarithm, 10 has been considered to be the base.

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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 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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[tex]\huge \boxed{\sf A.A\ and\ B.7}\\\\\\\displaystyle \sf Adding\ all\ sides\ equaling\ to\ perimeter\\\\x+x+x+5=26\\\\3x+5=26 \\\\\\Solve\ for\ x \\\\Subtracting \ 5\ from\ both\ sides\\\\3x+5-5=26-5 \\\\3x=21 \\\\Dividing\ both\ sides\ by\ 3 \\\\\frac{3x}{3} =\frac{21}{3} \\\\x=7[/tex]

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

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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The value of the expression is 284 5/ 9

A fraction can be defined as the part of a whole.

Some types of fractions are;

Given the fraction;

-13(21 4/9)

First, we convert the mixed fraction in the bracket to a proper fraction

- 13( 197/ 9)

Now, let's expand the bracket

-2561/ 9

Find the quotient

284 5/ 9

Thus, the value of the expression is 284 5/ 9

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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.

x = -1/4 is an extraneous solution.

✓(11x + 3) - 2x = 0

Adding 2x on both sides of the equation we get

✓(11x + 3) - 2x + 2x = 0 + 2x

✓(11x + 3) = 2x

Squaring both sides of the equation we get

(✓(11x + 3))² = (2x)²

11x + 3 = 4x²

4x² - 11x - 3 = 0 : Equation 1

By middle term splitting equation 1 can be written as

4x² - 12x + x - 3 = 0

4x(x - 3) + 1(x - 3) = 0

(4x + 1)(x - 3) = 0

x = - 1/4 and 3.

Check extraneous solution by putting the value of x in the original equation -

Let x = -1/4

✓(11(-1/4) + 3) - 2(-1/4) = 0

✓(-11/4 + 3) + (1/2) = 0

✓(1/4) + (1/2) = 0

1/2 + 1/2 = 0

1 = 0

which is a contradiction, so, x = -1/4 is an extraneous solution.

Let x = 3

✓(11×3 + 3) - 2×3 = 0

✓36 - 6 = 0

6 - 6 = 0

0 = 0

Since, LHS = RHS, x = 3 is not an extraneous solution.

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Answer:

1,2,5,10

Step-by-step explanation:

hope this helps

the pair of points that are at a distance of 4 units are (2, 7) and (2, 3), which is option D.

For two points defined by the coordinates (a, b) and (c, d), we define the distance between these two points as:

distance = √(( a - c)^2 + (b - d)^2)

So you can just use that simple formula for the four pairs of points given and see which pair gives a distance of exactly 4 units, if we use the last pair wich is (2, 7) and (2, 3) and we replace the values in the correspondent places of the distance equation, we will get:

distance = √( (2 - 2)^2 + (7 - 3)^2) = 4

So we conclude that the pair of points that are at a distance of 4 units are (2, 7) and (2, 3), which is option D.

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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]

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:

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: 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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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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i think it is (0,-2). y=mx+b

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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Answer: d "y, because jhk = lmk"

Step-by-step explanation:

both triangles have a 65 and a 90 degree angle, since both triangles have to add up to 180 degrees, both sides equal 25

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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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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Answer:

734.52

Step-by-step explanation:

Subtract

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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If the Learning curve rate is 85%, then the painter will need 35.5 hours to pant all 20 rooms.

Learning curve rate tells us that there will be improvement or the time for the task will decrease as the person learn the repetitive task.

The time for completing n units is given by the formula:

Tₙ = T₁ . nᵇ

Where:

T₁  = time to complete 1st task

n = number of units

b = ln (learning curve rate) / ln(2)

The given parameters:

T₃  = 9 hours

learning curve rate = 85%

Hence,

b = ln (0.85) / ln(2) = 0.693

Plug the values into the formula for n = 3

T₃ = T₁ . 3ᵇ

T₁  = T₃ / 3ᵇ = 9 / 3ᵇ

Substitute the parameters for n = 20.

T₂₉ = T₁ . 20ᵇ

      = (9 / 3ᵇ) . 20ᵇ

       = 9 . (20/3)ᵇ

Substitute b = 0.693

T₂₉ = 35.5 hours

Hence, it takes 35.5 hours for the painter to pant all 20 rooms.

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(x+√y)(x-√y) = x² - y is always an integer.

Given that x and y are integers.

Then x + √y is an irrational number.

The conjugate of (x + √y) is (x - √y).

We need to find the product (x + √y)(x -√y).

Use the identity, (a +b)(a-b) = a²-b²

So  (x + √y)(x -√y) = x² - (√y)²

                             = x² - y

Given that x is an integer. The square of an integer is always an integer.

Since x² and y are integers, their difference is also an integer.

So we can conclude that x²-y is an integer.

Hence, (x+√y)(x-√y) = x² - y is always an integer.

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