what is the greatest common factor for 32 and 81
(HURRYYY))

The Unit-Price for first-bag is $1.72/kg and for second-bag is $1.86/kg, then the first-bag is cheaper compared to the second-bag with a unit-price.

The "Unit-Price" refers to the cost of dog food per kilogram. It is calculated by dividing the "total-cost" of the bag of dog-food by its weight in kilograms.

⇒ For the first bag of dog food:

The Cost is = $10.47,

The Weight is = 6.08 kg,

So, the Unit-Price is = Cost/Weight = $10.47/6.08 kg ≈ $1.72/kg,

⇒ For the second bag of dog food:

The Cost is = $13.88,

The Weight is = 7.48 kg,

So, the Unit Price will be = Cost/Weight = $13.88/7.48 kg ≈ $1.86/kg,

Based on the "unit-prices" calculated, the first bag of dog food has a unit price of $1.72 per kilogram, and the second bag has a unit price of $1.86 per kilogram.

Therefore, the first bag of dog food is the better-buy as it is cheaper compared to the second bag.

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The given question is incomplete, the complete question is

Justin paid $10.47 for a 6.08-Kg bag of dog food.  A few weeks later, he paid $13.88 for a 7.48-kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price.

Answer: b. 125

Step-by-step explanation:

Find the square roots of each, and if the square root is a decimal, it is not a perfect square.

Square root of 81: 9

Square root of 49: 7

Square root of 100: 10

That leaves 125.

Answer:

9 meters

Step-by-step explanation:

just find the square root of 81 and it gives you the number 9

This verifies that y = cos(4x) also satisfies the differential equation.

The given solutions satisfy the differential equation.

The given differential equation is y'' + 16y = 0, and the proposed solutions are y = sin(4x) and y = cos(4x). To verify, we need to find the second derivative (y'') of each solution and plug it into the equation.

For y = sin(4x), the first derivative (y') is 4cos(4x) and the second derivative (y'') is -16sin(4x). Now, substitute y and y'' into the equation: (-16sin(4x)) + 16(sin(4x)) = 0, which simplifies to 0 = 0. This verifies that y = sin(4x) satisfies the differential equation.

For y = cos(4x), the first derivative (y') is -4sin(4x) and the second derivative (y'') is -16cos(4x). Substitute y and y'' into the equation: (-16cos(4x)) + 16(cos(4x)) = 0, which simplifies to 0 = 0.

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Answer: 0.68

Step-by-step explanation:

just took test and got it right

Sy w when y is a line of finite length along one of the coordinate axes is zero.

Let's consider the case where y is the x-axis.

We can parametrize y as y = (t,0,0)

where

t ranges from some value a to b, the endpoints of the line segment.

Substituting this into w, we get:

w = xdy + ydz + zdx

= x(0)dy + (0)dz + zdx (since y = 0 and dz/dt = 0)

= 0

Thus, the integral of w along the line segment y = (t,0,0) from a to b is

Sy w = ∫\(ab w(y(t)) ||dy/dt|| dt\)

= ∫ab 0 dt

= 0

So, regardless of the endpoints of the line segment or which coordinate axis it lies along, the integral of w along the line segment will always be zero.

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Answer:

a)Claims: P>0.5("MOST" of the adult erase their personal information)

b)Statistics test= 4.746

Step-by-step explanation:

we were given {p}=60% =0.60

where n= 563

since most of adults erase all their personal information online, then (p> 0.5

p=0.5

q=1-p=1-0.5=0.5

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

The value of the statistic test is 4.746 and this can be determined by using the given data.

Given :

A software firm survey of 563 randomly selected adults showed that 60% of them would erase all of their personal information online if they could.

It is given that \(\rm \bar{P}\) = 60% = 0.60 and n = 563.

Claim: Most adults would erase all of their personal information online if they could that means (P > 0.5). Therefore:

q = 1 - P = 1 - 0.5 = 0.5

Now, to determine the value of the statistic test, the following formula can be used:

\(\rm \dfrac{\bar{P}-P}{\sqrt{\dfrac{Pq}{n}} } = \dfrac{0.6-0.5}{\sqrt{\dfrac{0.5\times0.5}{563}} }=4.746\)

Therefore, the value of the statistic test is 4.746.

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The point (-2, -10) does not lie on the line y = 3x - 3.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation of line in the question:

y = 3x - 3

To check if the point (-2, -10) lies on the line y = 3x - 3, we need to substitute the values of x and y into the equation and see if it is true.

y = 3x - 3

Plug in x = -2 and y = -10

-10 = 3(-2) - 3

Simplify

-10 = -6 - 3

-10 = -9

But we know that -10 ≠ -9, hence, this is not a true statement.

Therefore, the point does not lie on the line.

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The rate of first group is, 2.44 miles per hour.

The rate of second group is, 1.94 miles per hour.

What is rate?

The ratio of two related numbers expressed in several units is known as a rate in mathematics. If one of these numbers is used as the ratio's denominator and it is assumed that this quantity may be modified in a predictable way (i.e., is an independent variable), then the numerator of the ratio represents the rate of change in the other (dependent) variable.

Given:

The distance between two towns = 1050 miles.

The time required is 240 hours.

Consider,

Distance travel by first group is x miles.

Distance travel by second group is 1050 - x miles.

Rate of first group ix y miles/hr.

Rate of second group = (y - (1/2) miles/hr

Since,

Rate = Distance / time

y = x / 240

⇒ x = 240y

And

(y - 1/2) = (1050 - x)/240

240(y - 1/2) = 1050 - x

Plug x = 240y

240(y - 1/2) = 1050 - 240y

Solving for y

120(2y - 1) = 1050 - 240y

240y - 120 = 1050 - 240y

480y = 1170

y = 2.44 miles per hour.

Therefore, rate of first group is 2.44 miles per hour.

Now rate of second group = y - 1/2 = 2.44 - 1/2 = 1.94 miles per hour.

Hence, the rate of second group = 1.94 miles per hour.

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Answer:

y - 2 = -3(x - 5)

Step-by-step explanation:

Solving the given −x+3y=12. for 3y yields 3y = x + 12, which becomes

        x + 12

y = -------------

            3

and so we see that the slope of the given line is 1/3.  Thus the slope of any line which is perpendicular to this one is the negative reciprocal of 1/3, or -3.

Use the point-slope form of the equation of a straight line and the given point (5, 2) to find the desired equation:

y - k = m(x - h) becomes  y - 2 = -3(x - 5)

Answer:

Step-by-step explanation:

Given,

Line BT is the bisector of <ABC

So,

3x + 13 = 5x - 7

=> 13 + 7 = 5x - 3x

=> 20 = 2x

\( = > x = \frac{20}{2} \)

=> x = 10

As,

We got the value of x = 10

Therefore,

<ABT = 3x + 13 °

= 3×10 + 13 °

= 30 + 13°

= 43°

<TBC = 5x - 7°

= 5 × 10 - 7°

= 50 - 7°

= 43°

Hence,

Value of <ABT = 43° and value of <TBC = 43° (Ans)

Answer:

No solution

Step-by-step explanation:

Combine terms

Add x

Add 2

Divide

Answer:

  2, 2, 3, 3

Step-by-step explanation:

At each level, the two branches multiply to give the number above them. Use your knowledge of multiplication facts to fill in the bubbles.

From the top down, you have ...

  36 = 3×12

  12 = 2×6

  6 = 2×3

The prime factors are the numbers in the circles: 3, 2, 2, 3.

Written in order from smallest to largest, the prime factors of 36 are ...

  2, 2, 3, 3

Using it's concept, it is found that there is a 0.4545 = 45.45% probability that the person is from Texas, given that the person prefers brand A.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 176 people who prefer brand A, and of those 80 are from Texas, hence the probability is given by:

p = 80/176 = 0.4545.

0.4545 = 45.45% probability that the person is from Texas, given that the person prefers brand A.

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The value of f_x(x,y) is -3ye^{-3xy}(B)

The function is f(x,y) = e ^{-3xy}.

Let us find f_x(x,y) which is the partial derivative of the function with respect to x. For that, let us differentiate the function f(x,y) with respect to x taking y as constant.

This is because the given function is in terms of two variables x and y. We can differentiate one variable at a time and treat the other variable as constant.

Hence we will differentiate the function in terms of x and treat y as a constant.

f(x,y) = e^{-3xy}

∴ f_x(x,y) = \frac{\partial }{\partial x}

f(x,y)f_x(x,y) = \frac{\partial }{\partial x} e^{-3xy}

Now let us differentiate the above expression which is a single variable function using the chain rule of differentiation. The chain rule of differentiation states that if f(g(x)) is a composite function of x, then the derivative of f(g(x)) is given by

f'(g(x)) * g'(x)

We have f(x) = e^{x} and

g(x) = -3xy

∴ f'(g(x)) = e^{g(x)} and g

'(x) = \frac{\partial }{\partial x}(-3xy)

= -3y

We can use the chain rule to differentiate f(g(x)) as follows:

f_x(x,y) = e^{-3xy} * \frac{\partial }{\partial x}(-3xy)f_x(x,y)

= -3y * e^{-3xy}

Hence the value of f_x(x,y) is -3ye^{-3xy}.Hence the correct option is B.

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Answer:

180.34cm

Step-by-step explanation:

Multiply 12x5=60, then multiply 60x2.54=152.4, then multiply 11x2.54=27.94, then add 152.4+27.94 of it together, which is 180.34

what is the value of z

what is the value of x

what is the value of y

?

The true statement about the correlation is (d) yes, because it is not a positive correlation

From the question, we have the following parameters that can be used in our computation:

a student noticed that when he watches television, he scores lower on his test grades

This means that

There is a negative correlation between the student watching television and the student's grade

A negative correlation implies that the student grade would reduce each time he watches television

i.e His scores would reduce if he watches television and his scores would increase if he does not watch television

So, the true statement is (d) yes, because it is not a positive correlation

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Answer:

4.05

Step-by-step explanation:

Answer:

B, C , F

Step-by-step explanation:

The age multiplied 55, so the shell grows at rate of 55mm per year

in fact if the age is 2 we have (55 x 2) = 55 + 55

if 3 = (55 x 3) = 55 + 55 + 55

and so on

When the turtle is hatched the shell is 37 mm in lenght.

In fact, if we substitute 0 to a, we have

s = (55 x 0) + 37

s = 37

when the turtle is 1 year old, the shell is 92 mm in length.

in fact if we substitu a with 1, we have

s = (55 x 1) + 37

s = 55 + 37

s = 92

Answer:

0-0 me just joined today and im already at helping hand yay

Step-by-step explanation:

12 would be your anwer

The mass of ingredient is given by 66g, 45g, 100g, 150g.

What is mass?

Mass is a parameter of measurement that calculates how much matter is contained in a body.

Mass is a physical quantity. Mass is measured in terms of the weight of a body. Gram, kilogram, and pounds are some standard mass units to measure it. The SI unit of mass is the kilogram; however, smaller objects are measured in grams.

Given, the ratio of the ingredients by mass as 2:2:1.

Let x be the mass of the ingredients.

A) total mass is given by 330g

therefore, 2x+2x+1x = 330

5x = 330

x = 330/5

x = 66

Hence the mass of oat = 2(66) = 132g

mass of cereal = 2(66) = 132 g

mass of nuts = 66g

B) 2x+2x+1x = 210

5x = 210

x = 210/5

x = 42g

Hence,  the mass of oat = 2(42) = 84g

mass of cereal = 2(42) = 84 g

mass of nuts = 84

C) 2x+2x+1 = 500

5x = 500

x = 100

hence,  the mass of oat = 2(100) = 200g

mass of cereal = 2(100) = 200 g

mass of nuts = 100g

D) 2x+2x+1 = 750g

5x = 750

x = 750/5

x = 150

Hence, the mass of oat = 2(150) = 300g

mass of cereal = 2(150) = 300 g

mass of nuts = 150g

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Answer:

The percentage error in her guess is 5%.

Step-by-step explanation:

60 - 57 = 3

3/60 = 0.05

Answer:

the question was already in that form. take question 15 -11 is p x is x the +2 ( also meaning positive 2) is q and -66 is r

Required width is 29 millimeters and perimeter is 72 millimeters.

Given, Length of rectangle (L) = 7 millimeters

Area of the rectangle = 203 square millimeters

We know that, area of rectangle = Length × Width = L × W

According to the problem,

\(\sf L\times W = 203\)

\(\sf \Rightarrow 7\times W=203\)

\(\sf \Rightarrow W = \dfrac{203}{7}\)

\(\sf \Rightarrow W = 29\)

So, Width of rectangle = 29 millimeters

Perimeter of rectangle = 2 × (Length + Width)

\(\sf = 2\times(L+W)\)

\(\sf = 2\times(7+29)\)

\(\sf = 2\times36\)

\(\sf = 72 \ millimeters\)

So, perimeter of rectangle = 72 millimeters

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the length of the box is 5 centimeters.

How to solve?

Since the box is cube-shaped, all sides have the same length. Let's call the length of one side "x".

The volume of the cube can be calculated by raising the length of one side to the third power:

V = x²3

We know that the volume of the box is 125 cubic centimeters, so we can set up an equation:

125 = x²3

To solve for x, we can take the cube root of both sides:

∛125 = ∛x²3

Simplifying the left side:

5 = x

Therefore, the length of the box is 5 centimeters.

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the initial expression is: