George bought 7,5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did george buy?

Answer:

-94.2 [tex]cm^2/min[/tex]

Step-by-step explanation:

Rate of change of radius = -5 cm per minute (as it is decreasing)

Radius of circle = 6 cm

Formula for area of Area:

[tex]A = \pi r^2[/tex]

Formula for differentiation of [tex]y = x^n[/tex]:

[tex]\dfrac{dy}{dt} = nx^{n-1}\dfrac{dx}{dt}[/tex]

Differentiating area w.r.to [tex]t[/tex]:

[tex]\dfrac{dA}{dt} = 2\pi r\dfrac{dr}{dt}[/tex]

Putting the values, [tex]r = 6, \frac{dr}{dt} = -5[/tex] cm per minute.

[tex]\dfrac{dA}{dt} = 6\pi \times (-5)\\\Rightarrow \dfrac{dA}{dt} = -30 \times 3.14\\\Rightarrow \dfrac{dA}{dt} = -94.2\ cm^2/min[/tex]

Negative sign indicates that area is decreasing.

Rate of change of area is -94.2 [tex]cm^2/min[/tex].

The area decreases at a rate of -188.4 square centimeter per minute

The area (A) of a circle of radius (r) is represented as:

[tex]A = \pi r^2[/tex]

Differentiate the area, with respect to r

[tex]A' = 2\pi r r'[/tex]

From the question, we have:

So, the equation becomes

[tex]A' = 2\times 3.14 \times 6 \times (-5)[/tex]

[tex]A' =- 188.4[/tex]

Hence, the area decreases at a rate of -188.4 square centimeter per minute

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Answer:

-$14.50

Step-by-step explanation:

This is easily solved on a calculator.

-34.50 + 20.00 = -14.50

Answer:

$40.23

Step-by-step explanation:

Answer:

40.23

Step-by-step explanation:

easy just do 13.5*2.98

Answer:

Using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]

Step-by-step explanation:

We need to used distributive property to solve (x+12)8

The distributive property of multiplication or addition states that: [tex]a(b+c)=ab+ac[/tex]

Using the property:

[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]

So, using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]

Answer:

1.44

Step-by-step explanation:

Answer:

the answer is 1.44

Step-by-step explanation:

Because the exponent of a number says how many times to use the number in a multiplication. In 1.2 exponent 2 the "2" says to use 1.2 twice in a multiplication, so 1.2'2 = 1.2 × 1.2 = 1.44 In words: 1.2'2 could be called "1.2 to the power 2" or "1.2 to the second power.

                      Your welcome

Answer:

3.73

Step-by-step explanation:

56/15

3 11/15

3.73

Answer:

D

Step-by-step explanation:

Answer: g = 4

Step-by-step explanation:

30 = 26+g

4 = g

Answer:

-2

Hope this helps,

PumpkinSpice1

The slope of the line will be ( -1 / 2 ). The correct option is C.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The two points are (0,3) and ( 6,0). The slope of the line will be calculated by using the formula below;-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 0 - 3 ) / ( 6 - 0 )

Slope = -3 / 6 = -1 / 2

Therefore, the slope of the line will be ( -1 / 2 ). The correct option is C.

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Answer:

41/200

This is solved and put in standard form

Answer:

r = 11.623cm (aprox)

n = 6.153cm (aprox)

Step-by-step explanation:

Proportions:

9.8 ⇔ 4.3

n ⇔ 2.7

r ⇔ 5.1

n = 9.8*2.7/4.3 = 6.153 (aprox)

r = 9.8*5.1/4.3

r = 11.623 (aprox)

Answer:

y^3/4x

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’s 24

Answer:

b.12 inch squared

Step-by-step explanation:

6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12

Answer:

The answer is A.

Step-by-step explanation:

The ratio is 1 second/2 centimeters, but since they're asking for a unit ratio, you need to divide the top and bottom by 2 which gives you a unit ratio of ½ second/1 centimeter.

Answer:

Perhaps, B or A

Step-by-step explanation:

Answer:

$36.52

you're welcome :)

Answer:

Cost = $86.67

Step-by-step explanation:

Given

Yards = 4⅓ (missing part of the question)

Cost per yard = $2.00

Required

Determine cost of chains produced in 10 minutes

If 4⅓ yards is made in a minute, then

4⅓ * 10 yards are made in 10 minutes

Total = 4⅓ * 10

Total = 13/3 * 10

Total = 130/3 yards

Cost of a yard of chain is $2.00.

Cost of 130/3 yards would be:

Cost = $2.00 * 130/3

Cost = $260.00/3

Cost = $86.67 (approximated)

Hence, the required cost is approximately $86.67

Answer:

DE, BC, BA, CA

Step-by-step explanation:

basically just find the ones that do not cross and those are parellel.

Answer:

0.0475 or 4% professional language translators get paid less than $250 per hour

Step-by-step explanation:

Mean = 320

Standard Deviation = 41.75

We need to find proportion of professional language translators get paid less than $250 per hour i.e P(x<250)

First we will find value of z

Using formula: [tex]z=\frac{x-\mu}{\sigma}[/tex]

We have x=250, finding z

[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{250-320}{41.75}\\z=-1.67[/tex]

Now we will find P(z<-1.67) by looking into the normal distribution table

[tex]P(z<-1.67)=0.0475\\[/tex]

So,0.0475 or 4% professional language translators get paid less than $250 per hour

Answer:   10°

__________________________________________________________

We are given:

Sin(6θ)  = Cos(3θ)

Solving for θ:

Simplifying Cos(3θ):

We know that:  

Cos(θ) = Sin(90-θ)

So, we can say that:

Cos(3θ) = Sin(90 - 3θ)

Finding the value of θ:

Sin(6θ) = Cos(3θ)

Sin(6θ) = Sin(90 - 3θ)                             [Since Cos(3θ) = Sin(90 - 3θ)]

6θ = 90 - 3θ                                            [If Sin(θ) = Sin(A) ; θ = A]

9θ = 90                                                   [adding 3θ on both sides]

θ = 10°                                                     [dividing both sides by 9]

Answer:

dfjkdhfhdsjfkldsjkljsdk;lv

Step-by-step explanation:

fjwdnjksnvl;snv;s

Answer:

9/19

Step-by-step explanation:

just put the total odd numbers, 18,  over the total outcomes, 38, and divide them and simplify

Answer:

9/19

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

m=5

b=0

y=5x+0

trust me

Answer and step-by-step explanation:

cos = adj/hyp (in a right triangle)

cos0 = 3/5

adj = 3

hyp = 5

opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)

tan0 = opp/adj = 4/3

Answer:

[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]

Step-by-step explanation:

Cosine is equal to adjacent over hypotenuse.

We are given: cosθ=3/5

We want to find tanθ. Tangent is equal to opposite over adjacent.

We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

The hypotenuse (c) is 5.

[tex]a^2+b^2=5^2[/tex]

One leg (a) is 3, the other (b) is unknown.

[tex]3^2+b^2=5^2[/tex]

Evaluate all the exponents.

[tex]9+b^2=25[/tex]

Subtract 9 from both sides of the equation.

[tex]9-9+b^2=25-9[/tex]

[tex]b^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{b^2} =\sqrt{16}[/tex]

[tex]b=4[/tex]

Now we know the "opposite" is 4. We can find the tangent now.

[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)

[tex]tan( \theta)=4/3[/tex]

The tangent of theta is 4/3

Answer:

Quadratic

Step-by-step explanation:

It looks like it’s forming a very wide arch so quadratic formulas are arches

The equation of the regression line model for the data plot determines a quadratic equation

The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.

In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.

A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.

Given data ,

Let the linear regression line be represented as A

Now , the value of A is

Let the first coordinate on the graph be P ( 1 , 5.5 )

Let the second coordinate on the graph be Q ( 2 , 6 )

And , the data plots on the graph represents a curve or parabolic equation

So , it is a quadratic equation

Hence , the data plot of the regression line is quadratic

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Answer:its 60

Step-by-step explanation:

look at g and put the number thats there on g

Answer:

The length of PR is 15.8 cm

Step-by-step explanation:

We will solve the question using the cosine rule

In ΔPQR

∵ (PR)² = (PQ)² + (RQ)² - 2(PQ)(RQ)(cos∠Q)

∵ PQ = 17.8 cm

∵ RQ = 26.3 cm

∵ m∠Q = 36°

→ Substitute them in the rule above

∵ (PR)² = (17.8)² + (26.3)² - 2(17.8)(26.3)(cos36)

∴ (PR)² = 316.84 + 691.69 - 936.28(cos36)

∴ (PR)² = 251.0635685

→ Take √ for both sides

∴ PR = 15.8449856

→ Correct it to 3 significant figures

∴ PR = 15.8 cm

∴ The length of PR is 15.8 cm