An 8-yard roll of tape costs $3.04. What is the unit price?

Answer:

-3

Step-by-step explanation:

[tex](-a) + (+b) = -c\\= -10 + 7\\= -3[/tex]

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ Y(\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad Z(\stackrel{x_2}{-2}~,~\stackrel{y_2}{8}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -2 +1}{2}~~~ ,~~~ \cfrac{ 8 -6}{2} \right) \implies \left(\cfrac{ -1 }{2}~~~ ,~~~ \cfrac{ 2 }{2} \right)\implies \stackrel{\textit{\LARGE M}}{(-0.5~~,~~1)}[/tex]

The coordinates of the midpoint M are (-1/2, 1), and the length of YZ is approximately 14.32 units.

We have,

To find the coordinates of the midpoint M of the line segment YZ, we can use the midpoint formula:

Midpoint M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Where (x₁, y₁) and (x₂, y₂) are the coordinates of the endpoints Y and Z, respectively.

Given:

Y(1, -6) and Z(-2, 8)

Now, apply the midpoint formula:

Midpoint M = ((1 + (-2)) / 2, (-6 + 8) / 2)

Midpoint M = (-1 / 2, 2 / 2)

Simplify:

Midpoint M = (-1/2, 1)

To find the length of YZ, we can use the distance formula:

Length of YZ = √[(x₂ - x₁)² + (y₂ - y₁)²]

Given:

Y(1, -6) and Z(-2, 8)

Now, apply the distance formula:

Length of YZ = √[(-2 - 1)² + (8 - (-6))²]

Length of YZ = √[(-3)² + (8 + 6)²]

Length of YZ = √[9 + 196]

Length of YZ = √205

Length of YZ ≈ 14.32 (rounded to the nearest tenth)

Thus,

The coordinates of the midpoint M are (-1/2, 1), and the length of YZ is approximately 14.32 units.

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Answer: c 2.18

Step-by-step explanation:

pray to god that its right

Answer:

about 76.36 kgis the answer

Step-by-step explanation:

168 divided by 2.2 is 76.36.

After solving the equation In (2m + 3) = 8, the value of m is equal to 5/2.

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

We have been asked to find m in (2 m+3) = 8

⇒ (2 m+3) = 8

⇒ 2m + 3 = 8

⇒ 2m = 8 - 3

⇒ 2m = 5

⇒ m = 5/2

So, m is equal to 5/2 in (2 m+3) = 8

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Answer:

f= 1.3s - 8.7

Step-by-step explanation:

Slope is M

M = 1.3 feet per second

y=mx+ b your b= 8.7ft

your equation is

f= 1.3s - 8.7

Answer:  31

Step-by-step explanation:

1. Replace z by 5, meaning that 8*5

2. Then, subtract 40 by 9 (8*5 = 40, 40-9 = 31)

Answer:

9, 11, and 19

Step-by-step explanation:

9, 11, and 19 are the only plausible answers because there were only 2 periods where the phone was at 100% (other than when the graph started) and these are the only hours that fell within those periods..

we can state that Option D may be accurate and true.

Assuming that the function, g, it has a domain of -1 ≤ x ≤ 4 and a range of                       0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8

Then the following properties must hold

1. The value(s) of x must be between -1 and 4

2. The values of g(x) must be between 0 and 18.

3. g(-1)=2

4. g(2)=9

We consider the options and state why they are true or otherwise.

A: g(5)=12

The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.

B: g(1) = -2

The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.

C: g(2) = 4

The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.

D: g(3) = 18

Given that its domain is between -1 and 4 and its range is between 0 and 18, this claim is reasonable.

Therefore, we can say that Option D can be true.

This question is incomplete

The provided options are:

Options

(A)  g(5) = 12

(B)  g(1) = -2

(C)  g(2) = 4

(D)  g(3) = 18

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The step 2 is incorrect angle o and angle p form supplementary angles not alternate interior angle that is :

∠o +  ∠p = 180°

What are alternate interior angle ?

An alternate interior angle is one formed on the inside side of two parallel lines and opposite on the outer side of the transversal when those two parallel lines are intersected by a transversal and they are equal.

Alternate angles between a transverse and parallel lines are equal .

Here, the step 1 is correct :

as the sum of angles of a triangle is 180 degree therefore,

∠m +∠n + ∠o = 180°.............(1)

the step 2 is incorrect :

as angle o and angle p form supplementary angles not alternate interior angle therefore it will be :

∠o +  ∠p = 180°........(2)

after that step 3 and 4 is correct to get the final result as :

step 3 : ∠m +∠n + ∠o = ∠o +  ∠p

step 4 : ∠m +∠n = ∠p

Therefore, the step 2 is incorrect angle o and angle p form supplementary angles not alternate interior angle.

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Answer:B

Step-by-step explanation:

The given expression can be simplified by using rules of exponents.

There will be two rules applied, one for negative exponent and other for multiplication of exponents.

The expression can be solved by using either of the rules first. In this case, we will solve for the negative exponent first.

The base term x has a negative exponent of -4/7.  The negative exponent rules states that the term with the negative exponent can be expressed in a reciprocal or reverse form without the negative sign.

In the general form, x^-a=1/x^a.

Applying the rule here,

(x^⁻⁴/₇)^7=(1/x^4/7)^7

Now multiplying the powers and simplifying,

(1/x^4/7)^7=1^7/x^(4/7)*7=1/x^4

The simplest form of the expression (x^⁻⁴/₇)^7 is 1/x^4

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The value of y on the unit circle is y =-3/5

A circle is defined as the locus of a point such that it is equidistant from a fixed point.

The equation of a circle with center at the origin is given by x² + y² = r² where r = radius of circle

A unit circle is a circle with radius, r = 1.

So, the equation of a unit circle is x² + y² = 1

Given that the point P(-4/5, y) lies on the unit circle, and P is int he third quadrant, making y subject of the formula in the equation for unit circle, we have

y = ±√(1 - x²)

Substituting x = -4/5 into the equation, we have

y = ±√(1 - x²)

y = ±√(1 - (-4/5)²)

y = ±√(1 - 16/25)

y = ±√[(25 - 16)/25]

y = ±√[9/25]

y = ±3/5

Now, given that P is in the third quadrant, it implies that y is negative. so, y = -3/5

So, the value of y on the unit circle is y =-3/5

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Answer:

(11/x) - 14

Step-by-step explanation:

(11/x) - 14 or 11 - 14x/x

Answer:

the coefficient is 5 and 7 the constant is 2

There will be 2 roots of the equation 2 ( [tex]x^{2}[/tex] ) + 3 x = - 4 .

2 ( [tex]x^{2}[/tex] ) + 3 x = - 4 is a quadratic equation . This is because it has degree 2  . Degree is the power of variable which is maximum in function .

Since , x is the variable in this equation , therefore it's degree is 2 .

The no . of roots a polynomial will have is equal to the degree of polynomial .

Hence , the eq . will have 2 real roots .

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[tex]\stackrel{mixed}{-6\frac{2}{7}}\div -\cfrac{8}{21}\implies -\cfrac{6\cdot 7+2}{7}\div -\cfrac{8}{21}\implies \stackrel{improper}{-\cfrac{44}{7}}\div -\cfrac{8}{21} \\\\\\ -\cfrac{44}{7}\cdot -\cfrac{21}{8}\implies \cfrac{(-44)(-21)}{(7)(8)}\implies \cfrac{924}{56}\implies \cfrac{33}{2}\implies {\LARGE \begin{array}{llll} 16\frac{1}{2} \end{array}}[/tex]

Answer:

[tex]a_1 = 1\\d = 3[/tex]

Step-by-step explanation:

The nth term of an arithmetic progression is [tex]a_n = a_1 + (n - 1)d[/tex].
You are given that [tex]a_5 = 13[/tex] and [tex]a_{11} = 31[/tex].

Therefore, we can solve the following system of equations to get the first term, as well as the difference.

[tex]-\begin{cases}a_1 + 4d = 13\\a_1 + 10d = 31\end{cases}\\\\\to 6d = 18\\\to d = 3\\\\\text{Substitute d = 3 into one of the equations to find }a_1\text{:}\\a_1 + 4 \times 3 = 13\\a_1 + 12 = 13\\\to a_1 = 1[/tex]

Answer:

20 Songs

Step-by-step explanation:

60 minutes / 3minutes per song =20 songs

Answer: what am i supposed to choose from?

Step-by-step explanation:

The mode  for the distribution of scores in the following frequency distribution table is 3, which is the second option.

This is a term used in statistics to refer to the number of highest occurrence. Mode refers to the value that highest the number of frequency. In finding the mode, it is better to orderly arrange the given data to help see the value that occurs more frequently as this is the mode.

For the values given in the distribution of scores in the frequency distribution table the mode is three  ( 3 ) and it is the second option

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Answer:

6/11

Step-by-step explanation:

3/11 + 3/11

to add both of the fractions just add the numerators (the numbers on the top) and u dont needa add the denominators which is the numbers on the bottom

that makes the answer 6/11 and u cant rlly simplify it so try that.

If its wrong mb

Answer:

A) [tex] \sf \frac{3}{11} + \frac{3}{11} = \frac{6}{11} [/tex]

B) [tex] \sf \frac{9}{10} + \frac{3}{5} = 1 \frac{1}{2}[/tex]

Answer:

A:0.11     B:I can't a diagram in here

Answer:

y = 2

Step-by-step explanation:

- 3x + 9y = 57 ← substitute x = - 13 into the equation

- 3(- 13) + 9y = 57

39 + 9y = 57 ( subtract 39 from both sides )

9y = 18 ( divide both sides by 9 )

y = 2

Answer: y is 2

solved it with a calculator.

The rationalize of all denominators is [tex]40x^{14} y^{20} i[/tex]

We rationalize the denominator to make certain that it will become less complicated to carry out any calculation at the rational number. while we rationalize the denominator in a fraction, then we are eliminating any radical expressions inclusive of rectangular roots and dice roots from the denominator.

The distinction is that denial flat out says there may be no trouble whilst clarification is smarter, it justifies thoughts and behaviors on some different grounds in the try to convince Self and others that these minds and behaviors are not maladaptive, that they may be definitely adaptive.

The rationalize is a disavowal defense mechanism that permits an individual to address emotional conflicts, or inner or external stressors, via devising reassuring or self-serving however incorrect factors for his or her personal or others' mind, actions, or feelings, which cowl up different reasons (Perry 1990).

[tex]5 \sqrt{-64 x^{14} y^{20} }[/tex]

[tex]\sqrt{-64} = i8[/tex]

[tex]5i8x^{14} y^{20}[/tex]

[tex]40ix^{14} y^{20}[/tex]

[tex]40x^{14} iy^{20}[/tex]

= [tex]40x^{14} y^{20} i[/tex]

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After simplifying the radical expression 5 √(-64)  x¹⁴  y²⁰, the result is 40 x¹⁴ y²⁰ i.

We are given the radical expression as:

5 √(-64)  x¹⁴  y²⁰

We need to simplify the radical expression and find the value of the expression.

Now, we will first simplify the term √(-64)

We know that:

√(-64) = √( - 1 × 8 × 8 )

= 8 √ -1

Using the properties of complex numbers, we get that:

√ - 1 = i

= 8 i

Putting it in the expression, we get that:

= 5 ( 8 i ) x¹⁴ y²⁰

= 40 x¹⁴ y²⁰ i

Therefore, we get that, after simplifying the radical expression 5 √(-64)  x¹⁴  y²⁰, the result is 40 x¹⁴ y²⁰ i.

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Answer:

$0.59/pound

Step-by-step explanation:

Since there are four pounds you divide $2.36 by 4 to get the unit rate.

Expression as a single natural logarithm of equation ln 18-ln 10 is = 0.5877866649.

ln 18-ln 10

= [tex]ln (18/10)[/tex]

= ln 1.8

= 0.5877866649

The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

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y = 3x -5 is the equation of the line parallel to the line and going through the point (4,7). The format is slope intercept.

A method of formulating a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line crosses the y-axis is known as the y-intercept, and the slope refers to how steep the line is.

Using the information provided,

y= 3x – 5

First, we must keep in mind that parallel lines have an equal slope.

In essence,

m1 = m2 if line 1 and 2 are parallel.

Y = mx + c is the slope-intercept form of the equation; y = 3x + 6, which already has this form.

incline of the m1 = 3.

Consequently, m1 = 3 = m2.

The slope of the parallel line, m2 = 3 and the line passes through the point (4,7).

Therefore;

3 = (y - 7)/(x-4)

By cross product;

3x - 12 = y - 7

y = 3x - 5

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