Mr. Muehlenweg S class used 1 3/4 cups baking soda for an experiment. If his students performed the experiment 6 1/2 times, how much baking soda did they use?

Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

answer:

$1.40

step-by-step explanation:

so the price of one hat is your unknown variable, so let's make an equation out of it:

60*x=$84.00

let's let x stand for the price of one hat

the way i figured it out was to do 84 ÷ 60

which equals 1.4

and remember, since we're dealing with money you must add a zero at the end of the decimal

then if you want, just to ensure that this is correct you can multiply 60*1.40

good luck :)

i hope this helps

have a great day !!

Answer:

2 hours

Remember that time = distance/rate

The distance you need to cover is 56 miles, while you go 28 miles per hour. Using these, we get this:

time=56/28

time=2

So it will take two hours to go across a 56 mile wide bay at 28 mph.

Step-by-step explanation:

Answer:

dont waste points get wolfframAlpha

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

Answer:

We can start by finding how many pages Jordayn reads per hour:

Pages per hour = 72 ÷ (1 1/2) = 72 ÷ 3/2 = 48

So, Jordayn reads 48 pages per hour.

To find out how long it would take her to read a 168-page book, we can use the following formula:

Time = Pages ÷ Pages per hour

Time = 168 ÷ 48

Time = 3.5

Therefore, it would take Jordayn 3.5 hours to read a 168-page book, assuming her reading speed remains constant

To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.

The original surface area of the rectangular prism is given by:

SA_original = 2lw + 2lh + 2wh

where l, w, and h represent the length, width, and height of the prism, respectively.

In this case, the dimensions of the original box are:

Length (l) = 3 ft

Width (w) = 6 ft

Height (h) = 5 ft

Substituting these values into the formula, we have:

SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)

            = 36 + 30 + 60

            = 126 square feet

Now, if we quadruple all the dimensions of the box, the new dimensions would be:

Length (l_new) = 4(3) = 12 ft

Width (w_new) = 4(6) = 24 ft

Height (h_new) = 4(5) = 20 ft

The new surface area of the enlarged box is given by:

SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)

       = 2(12)(24) + 2(12)(20) + 2(24)(20)

       = 576 + 480 + 960

       = 2016 square feet

Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.

Therefore, the correct answer is:

1. The new surface area would be 16 times the original surface area.

Answer:

>

2/3 is bigger than 5/8 because 5/8 is split into smaller portions

Step-by-step explanation:

hope this helps

Answer:

x = (y - b)/mv

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract the variable b from both sides of the equation:

y (-b) = mx + b (-b)

y - b = mx

Next, divide m from both sides of the equation. Remember to divide from all terms on the left side:

(y - b)/m = (mx)/m

x = (y - b)/m

x = (y - b)/m is your answer.

~

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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1) K=17°

2)Jk=2.84yd

3)KL=2.71yd

Answer:

A.  A'(32, 16) B'(48, 16) C'(64, 48)

Step-by-step explanation:

Dilation is a transformation in geometry that changes the size of a figure while preserving its shape. It involves multiplying the coordinates of each point by a scale factor relative to a fixed center of dilation to create a new figure that is either larger or smaller than the original. The center of dilation serves as the fixed point around which the figure is expanded or contracted.

To dilate a figure where the center of dilation is the origin (0, 0), simply multiply each coordinate point by the scale factor.

In this case, as we have not been given a center of dilation, so we can assume it is the origin. The given scale factor is 4.

Given coordinates of the vertices of triangle ABC:

To find the new coordinates after dilation with the origin as the center of dilation, multiply each coordinate point by the scale factor of 4.

A' = (8 · 4, 4 · 4) = (32, 16)

B' = (12 · 4, 4 · 4) = (48, 16)

C' = (16 · 4, 12 · 4) = (64, 48)

Therefore, the new coordinates of the dilated triangle are:

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

the longest side of P1=7

the longest side of P2=21

the perimeter of the larger triangle is 51

Answer:

y = 5000x

Step-by-step explanation:

Let x = number of days

Let y = number of widgets

Given, factory produces 5000 widget per day:

⇒ y = 5000x

Answer:

Step-by-step explanation:7.5x10^1

The population of the United States is 7.5 times greater than the population of California.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It might also be called standard index form or scientific form.

Given that California has approximately 4 x 10⁷ people living in it. The population of the entire United States is approximately 3 x 10⁸ people.

The United States how many times greater than California will be calculated as:-

Number of times = 3 x 10⁸ /  4 x 10⁷

Number of times = 0.75 x 10 = 7.5

Therefore,  the population of the United States is 7.5 times greater than the population of California.

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Using the properties of confidence interval and probability we can conclude from the observations that the process is not a statistical control process.

(a) The process is not a statistical process .

b) The control & chart is not in control because there some false alarm at 8-15. There are some special causes in the clata (may be in manufacturing) exist.

(c) (i) Given that Target length = 37 USL + LSL = 37 USL+2SL= 74

and Tolerance = 0.01 USL LSL = 0.01

After Solving equation 1 & 2 we get VSL = 37.005, LSL = 36.995

cp =2 × 0.01 6/0.05 × 2.059 = 0.01 ×0.1457 = 0.0686

(ii) Cp = min (Cpu, CP).

Cpu = 37.005-37 0.073 = 0.06849

CPL = 0.06859

Срк = 2 × 0.06849 = 0.024

The application of statistical methods to monitor and regulate the quality of a manufacturing process is known as SPC (statistical process control) or SQC (statistical quality control).

This increases the efficiency of the process, resulting in more specification-conforming goods with less waste (rework or scrap). SPC can be used to any process that can measure the output of a "compliant product" (a product that fulfils standards).

The primary tools of SPC are run charts, control charts, a focus on continuous improvement, and experiment design. Manufacturing lines are one example of a process that employs SPC.

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The total budget for their student film $800

11% of total budget = (11/100) * total budget

= 0.11 * total budget

Let P be the amount the group spent on props.

Now we can write the equation:

P = 0.11 * total budget

We also know that this group spent $712 on equipment. Let E be the amount they spent on equipment.

So it looks like this:

E=$712

Your total budget is the total cost of your equipment and props. This can be written as:

Total Budget = E + P

Plugging in the E and P values, we get:

Total Budget = $712 + 0.11 * Total Budget

Simplifying this equation, we get:

0.89 * total budget = $712

Dividing both sides by 0.89 gives:

Total budget = $800

So her student film had a total budget of $800. 

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We want to calculate the volume of the spherical shell of chocolate.

The chocolate shell is spherical with a thickness of 0.5cm

Volumes of spherical shells can be calculated with the formula;

The outer diameter is 8cm. The outer radius is therefore 4cm

The inner diameter is 8-2(0.5)=7cm. The inner radius is therefore 3.5cm

Therefore, we can find the volume of the chocolate shell as;

Therefore,

Answer: 0.40 and 40%

Answer:

40%

Step-by-step explanation:

Answer:

90 minutos

Step-by-step explanation:

una hora es 60 minutos y media es 30 minutos.

Answer: 46

Step-by-step explanation:

180 - 134 = 46

The volume of the solid of revolution formed by revolving the region bounded by f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis is 16π cubic units.

To find the volume of the solid of revolution formed by revolving the region bounded by the curves f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis, we can use the method of cylindrical shells and integrate.

First, let's find the points of intersection between the two curves by setting them equal to each other:

-3x² + 8 = 3x² + 2

Rearranging the equation, we get:

6x² = 6

x² = 1

x = ±1

So, the curves intersect at x = -1 and x = 1.

To calculate the volume, we'll integrate along the x-axis from x = -1 to x = 1. The volume of each cylindrical shell can be determined by multiplying the circumference (2πy) by the height (dx), where y represents the distance from the axis of revolution to the curve at a given x-value.

The radius of the cylindrical shell, y, can be obtained by subtracting the lower curve (f(x)) from the upper curve (g(x)). Therefore, y = (3x² + 2) - (-3x² + 8) = 6x² - 6.

The integral to compute the volume of the solid can be expressed as:

V = ∫[from -1 to 1] 2π(6x² - 6) dx

V = 2π ∫[from -1 to 1] (6x² - 6) dx

Simplifying and evaluating the integral, we get:

V = 2π [2x³ - 6x] [from -1 to 1]

V = 2π [(2(1)³ - 6(1)) - (2(-1)³ - 6(-1))]

V = 2π [2 - 6 - (-2 + 6)]

V = 2π [8]

V = 16π

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Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

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Answer:

210 mph

Step-by-step explanation:

speed of jet = x

headwind: speed = x - 27

time taken = 1134.6/(x - 27)

tailwind: speed = x + 27

time taken = 1469.4/(x + 27)

same amount of time:

1134.6/(x - 27) = 1469.4/(x + 27)

Cross multiply,

1134.6(x + 27) = 1469.4(x - 27)

1134.6x + 30634.2 = 1469.4x - 39673.8

334.8x = 70308

x = 210 mph

The derivative of F(x) with respect to x is  \(8x^7 + 60x^4 + (1-3x^(-3/2))*\sqrt(3)*x^(-5/2) - 2x/(x^2+\sqrt(x))^2 + e^x + 2e^(2x).\)

The sum rule is a rule of differentiation in calculus that states that the derivative of the sum of two functions is equal to the sum of their derivatives.

To differentiate the function F(x), we need to use the appropriate differentiation rules to each term of the function. Using the sum rule and chain rule of differentiation, we obtain:

F(x) = \(x^8 + 12x^5 + x^(2-3/2)*\sqrt(3) + 1/(x^2+\sqrt(x)) + e^x + e^(2x)\)

F'(x) = \(8x^7 + 60x^4 + (2-3/2)x^(2-5/2)\sqrt(3) - 2x(x^2+√(x))^(-2) + e + 2e^(2x)\)

We can simplify the expression further by combining like terms and simplifying the power of x in the third term using the power rule. The final answer is:

F'(x) = \(8x^7 + 60x^4 + (1-3x^(-3/2))*\sqrt(3)*x^(-5/2) - 2x/(x^2+\sqrt(x))^2 + e^x + 2e^(2x)\)

Therefore, the derivative of F(x) with respect to x is \(8x^7 + 60x^4 + (1-3x^(-3/2))*\sqrt(3)*x^(-5/2) - 2x/(x^2+\sqrt(x))^2 + e^x + 2e^(2x).\)

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Differentiate F(x) such that F(x)=x8+12x5+x2−−√3+1x2+xx−−√+ex+e2x.

Answer:

Volume V ≈ 1481.3269 cubic inches

Step-by-step explanation:

Volume V of a cylinder is given by the formula

V = πr²h  where r = radius of the base of the cylinder and h the height

Here we are given the diameter, d = 5.9375 inches

Radius r = d/2 = 5.9375/2 = 2.96875 in

Height h = 53.5 in

V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches

Answer V ≈ 1481.3269 cubic inches