A pastry chef is making a batch of mini petit fours, which are little cakes, in the shape of cubes. To keep the nutritional value of each petit four consistent, the bakery manager wants each one to have a volume of 45cm3. What should the side length be, to the nearest hundredth, for each petit four? (Note: For volume of a cube, V=s3 where s=side length.)

Answer:

21/55

Step-by-step explanation:

Simply multiply the top 2 together:

3 x 7 = 21

And the bottom 2 together:

5 x 11 = 55

21/55 is your answer!

Answer:

Step-by-step explanation:

given a field of the form F = (P(x,y),Q(x,y) and a simple closed curve positively oriented, then

[tex]\int_{C} F \cdot dr = \int_A \frac{dQ}{dx} - \frac{dP}{dy} dA[/tex] where A is the area of the region enclosed by C.

In this case, by the description we can assume that C starts at (0,0). Then it goes the point (pi,0) on the path giben by y = sin(x) and then return to (0,0) along the straigth line that connects both points. Note that in this way, the interior the region enclosed by C is always on the right side of the point. This means that the curve is negatively oriented. Consider the path C' given by going from (0,0) to (pi,0) in a straight line and the going from (pi,0) to (0,0) over the curve y = sin(x). This path is positively oriented and we have that

[tex] \int_{C} F\cdot dr = - \int_{C'} F\cdot dr[/tex]

We use the green theorem applied to the path C'. Taking [tex] P = x+4y^3, Q = 4x^2+y[/tex] we get

[tex] \int_{C'} F\cdot dr = \int_{A} 8x-12y^2dA[/tex]

A is the region enclosed by the curves y =sin(x) and the x axis between the points (0,0) and (pi,0). So, we can describe this region as follows

[tex]0\leq x \leq \pi, 0\leq y \leq \sin(x)[/tex]

This gives use the integral

[tex] \int_{A} 8x-12y^2dA = \int_{0}^{\pi}\int_{0}^{\sin(x)} 8x-12y^2 dydx[/tex]

Integrating accordingly, we get that [tex]\int_{C'} F\cdot dr = 8\pi - \frac{16}{3}[/tex]

So

[tex] \int_{C} F cdot dr = - (8\pi - \frac{16}{3}) = \frac{16}{3} - 8\pi [/tex]

Answer:

[tex] 211600 = 225000 -k*6700[/tex]

[tex] k = \frac{225000-211600}{6700}= 2[/tex]

[tex] 238400 = 225000 +k*6700[/tex]

[tex] k = \frac{238400-225000}{6700}= 2[/tex]

So then the % expected would be:

[tex] 1- \frac{1}{2^2}= 1- 0.25 =0.75[/tex]

So then the answer would be 75%

Step-by-step explanation:

For this case we have the following info given:

[tex] \mu = 225000[/tex] represent the true mean

[tex]\sigma =6700[/tex] represent the true deviation

And for this case we want to find the minimum percentage of sold homes between $211,600 and $238,400.

From the chebysev theorem we know that we have [tex]1 -\frac{1}{k^2}[/tex] % of values within [tex]\mu \pm k\sigma[/tex] if we use this formula and the limit given we have:

[tex] 211600 = 225000 -k*6700[/tex]

[tex] k = \frac{225000-211600}{6700}= 2[/tex]

[tex] 238400 = 225000 +k*6700[/tex]

[tex] k = \frac{238400-225000}{6700}= 2[/tex]

So then the % expected would be:

[tex] 1- \frac{1}{2^2}= 1- 0.25 =0.75[/tex]

So then the answer would be 75%

Answer:

infinite solutions

Step-by-step explanation:

it means that all x are solution of this equation as 6=6 is always true

Answer:

Poison ivy rash is caused by contact with poison ivy, a plant that grows almost everywhere in the United States. The sap of the poison ivy plant, also known as Toxicodendron radicans, contains an oil called urushiol. This is the irritant that causes an allergic reaction and rash.

You don’t even have to come in direct contact with the plant to have a reaction. The oil can linger on your gardening equipment, golf clubs, or even your shoes. Brushing against the plant — or anything that’s touched it — can result in skin irritation, pain, and itching.

Jared might have told him about his activities similar to the ones like gardening etc. by which Jared's physician use to make a diagnosis.

He told doctor that he just returned from camp this clearly indicates that he might get in touch with plants .

Answer:

Deductive reasoning

Step-by-step explanation:

Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.

Answer:

It is vertically stretched by a factor of 200 and shifted 10 units right

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left.

In this question:

Initially: [tex]f(x) = \frac{1}{x}[/tex]

Then, first we shift, end up with:

[tex]f(x+10) = \frac{1}{x + 10}[/tex]

f was shifted 10 units to the left.

Finally,

[tex]200f(x+10) = \frac{200}{x + 100}[/tex]

It was vertically stretched by a factor of 200.

So the correct answer is:

It is vertically stretched by a factor of 200 and shifted 10 units right

Answer:

the answer is D

Step-by-step explanation:

Answer:

100 possible extensions

Step-by-step explanation:

we can calculated how many possible extensions they have to try using the rule of multiplication as:

___1_____*___10_____*___10_____*____1____ = 100

1st digit        2nd digit        3rd digit         4th digit

You know that the 1st and 4th digits of the extension are 5. it means that you just have 1 option for these places. On the other hand, you don't remember nothing about the 2nd and 3rd digit, it means that there are 10 possibles digits (from 0 to 9) for each digit.

So, There are 100 possibles extensions in which the 5 is the first and last digit.

Answer:

The scale factor is 2/3

Step-by-step explanation:

The image of (6,9) under a dilation is (4,6).

As you might see, there is a ratio between the image after dilating and before dilating, which is 4/6 = 6/9 = 2/3.

=> The scale factor is 2/3.

Answer:

AC = 11 cm , CB = 22 cm

Step-by-step explanation:

let AC = x then BC = 2x , then

AC + BC = 33, that is

x + 2x = 33

3x = 33 ( divide both sides by 3 )

x = 11

Thus

AC = x = 11 cm and CB = 2x = 2 × 11 = 22 cm

Answer:  $2 or $9

Step-by-step explanation:

Revenue (R) = $1800 , x = 1100 - 100p

R = xp

1800 = (1100 - 100p)p             substituted x with 1100 - 100p

1800 = 1100p - 100p²             distributed p into 1100 - 100p

100p² - 1100p + 1800 = 0       added 100p² & subtracted 1100p on both sides

     p² - 11p + 18 = 0                divided both sides by 100

(p - 2) (p - 9) = 0                     factored quadratic equation

p = 2  p = 9                         applied Zero Product Property to solve for p

Answer:

Height of tank = 50cm

Step-by-step explanation:

Volume of water from tank that the water is 10cm down is 84000cm³

Length = 60cm

Width = 35cm

Height of water = x

Volume = length* width* height

Volume= 84000cm³

84000 = 60*35*x

84000= 2100x

84000/2100= x

40 = x

Height of water= 40cm

Height of tank I = height of water+ 10cm

Height of tank= 40+10= 50cm

Height of tank = 50cm

Answer:

C)  µ = 8000.

Step-by-step explanation:

Explanation:-

Given data A grocery store has an average sales of $8000 per day

mean of the Population μ = $ 8000

sample size 'n' = 64

mean of the sample x⁻ = $ 8300

Null Hypothesis : H₀ : μ = $ 8000

Alternative Hypothesis : H₁: μ > $ 8000

Test statistic

[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{8300 -8000}{\frac{1200}{\sqrt{64} } }[/tex]

Z = 2

Level of significance : ∝ = 0.05

Z₀.₀₅ = 1.96

The calculated value Z = 2 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion :-

The advertising campaigns have been effective in increasing sales

Answer:

-10

Step-by-step explanation:

Use the Order of Operations - PEMDAS

Do what is in parentheses first - (4-2) = 2

Next multiply 3 and 4 = 12

Last, perform 2 - 12; which equals -10

Step-by-step explanation:

40 x $10.12/hr = $404.80

5 x $15.18/hr = $ 75.90

over time = $10.12 + $5.06 ( half of $10.12) = $15.18/hr

$404.80 + $75.90 = $480.70/weekly pay

assuming she works 52 weeks a year

$480.70 × 52 weeks = $24,996.40/yr

Answer:

(a)[tex]D(t)=\dfrac{50000}{1.9t+9}[/tex]

(b)[tex]D'(115)=-1.8355[/tex]

Step-by-step explanation:

The demand function for a product is given by :

[tex]D(p)=\dfrac{50000}{p}[/tex]

Price, p is a function of time given by [tex]p=1.9t+9[/tex], where t is in days.

(a)We want to find the demand as a function of time t.

[tex]\text{If } D(p)=\dfrac{50000}{p},$ and p=1.9t+9\\Then:\\D(t)=\dfrac{50000}{1.9t+9}[/tex]

(b)Rate of change of the quantity demanded when t=115 days.

[tex]\text{If } D(t)=\dfrac{50000}{1.9t+9}[/tex]

[tex]\dfrac{\mathrm{d}}{\mathrm{d}t}\left[\dfrac{50000}{\frac{19t}{10}+9}\right]}}=50000\cdot \dfrac{\mathrm{d}}{\mathrm{d}t}\left[\dfrac{1}{\frac{19t}{10}+9}\right]}[/tex]

[tex]=-50000\cdot\dfrac{d}{dt} \dfrac{\left[\frac{19t}{10}+9\right]}{\left(\frac{19t}{10}+9\right)^2}}}[/tex]

[tex]=\dfrac{-50000(1.9\frac{d}{dt}t+\frac{d}{dt}9)}{\left(\frac{19t}{10}+9\right)^2}}}[/tex]

[tex]=-\dfrac{95000}{\left(\frac{19t}{10}+9\right)^2}\\$Simplify/rewrite to obtain:$\\\\D'(t)=-\dfrac{9500000}{\left(19t+90\right)^2}[/tex]

Therefore, when t=115 days

[tex]D'(115)=-\dfrac{9500000}{\left(19(115)+90\right)^2}\\D'(115)=-1.8355[/tex]

Answer:

0.6%

Step-by-step explanation:

We have a standard deck of 52 playing cards, which is made up of 13 cards of each type (hearts, diamonds, spades, clubs)

Therefore there are one nine hearts, one nine diamonds, one nine spades and one nine clubs, that is to say that in total there are 4. Therefore the probability of drawing a nine is:

4/52

In the second card it is the same, an eight, that is, there are 4 eight cards, but there is already one less card in the whole deck, since it is not replaced, therefore the probability is:

4/51

So the final probability would be:

(4/52) * (4/51) = 0.006

Which means that the probability of the event is 0.6%

Answer:

a=b

Step-by-step explanation:

When the denominator is zero, the expression is undefined

a-b=0

a=b

The x-coordinate of the point shown in the graph is - 5.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x, y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, A point A(- 5, - 7).

From the above concept, we can easily conclude that the x-coordinate of the point shown in the graph is - 5.

The image of the graph is attached.

learn more about graphs here :

https://brainly.com/question/17267403

#SPJ2

Answer:

See below in bold.

Step-by-step explanation:

We can write the equation as

y = a(x - 28)(x + 28)   as -28 and 28  ( +/- 1/2 * 56) are the zeros of the equation

y has coordinates (0, 32) at the top of the parabola so

32 = a(0 - 28)(0 + 28)

32 = a * (-28*28)

32 = -784 a

a = 32 / -784

a = -0.04082

So the equation is y = -0.04082(x - 28)(x + 28)

y = -0.04082x^2 + 32

The second part  is found by first finding the value of x corresponding to  y = 22

22 = -0.04082x^2 + 32

-0.04082x^2 = -10

x^2 = 245

x = 15.7 inches.

This is the distance from the centre of the door:

The distance from the edge = 28 - 15.7

= 12,3 inches.

Answer:

Step-by-step explanation:

This is a poisson distribution. Let x be a random representing the number of calls in a given time interval.

a) the expected number of calls in one hour is the same as the mean score in 60 minutes. Thus,

Mean score = 60/2 = 30 calls

b) The interval of interest is 5 minutes.

µ = 5/2 = 2.5

We want to determine P(x = 3)

Using the Poisson probability calculator,

P(x = 3) = 0.21

c) µ = 5/2 = 2.5

We want to determine P(x = 0)

Using the Poisson probability calculator,

P(x = 0) = 0.08

Answer:

(4, 3)

Step-by-step explanation:

Use the midpoint formula: [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2} )[/tex]

Answer:

The 95% confidence interval for the difference between the proportion of women who drink alcohol and the proportion of men who drink alcohol is (-0.102, -0.014) or (-10.2%, -1.4%).

Step-by-step explanation:

We want to calculate the bounds of a 95% confidence interval of the difference between proportions.

For a 95% CI, the critical value for z is z=1.96.

The sample 1 (women), of size n1=1000 has a proportion of p1=0.494.

[tex]p_1=X_1/n_1=494/1000=0.494[/tex]

The sample 2 (men), of size n2=1000 has a proportion of p2=0.552.

[tex]p_2=X_2/n_2=552/1000=0.552[/tex]

The difference between proportions is (p1-p2)=-0.058.

[tex]p_d=p_1-p_2=0.494-0.552=-0.058[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{494+552}{1000+1000}=\dfrac{1046}{2000}=0.523[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.523*0.477}{1000}+\dfrac{0.523*0.477}{1000}}\\\\\\s_{p1-p2}=\sqrt{0.000249+0.000249}=\sqrt{0.000499}=0.022[/tex]

Then, the margin of error is:

[tex]MOE=z \cdot s_{p1-p2}=1.96\cdot 0.022=0.0438[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.058-0.0438=-0.102\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.058+0.0438=-0.014[/tex]

The 95% confidence interval for the difference between proportions is (-0.102, -0.014).

Answer:

n<5

Step-by-step explanation:

7>2n-3

+3      +3

10>2n

Divide by 2

5>n

Answer: X= 4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

18=3(3x−6)

18=(3)(3x)+(3)(−6)(Distribute)

18=9x+−18

18=9x−18

Step 2: Flip the equation.

9x−18=18

Step 3: Add 18 to both sides.

9x−18+18=18+18

9x=36

Step 4: Divide both sides by 9.

9x

9

=

36

9

Answer:

X=4

Step-by-step explanation:

18=3(3X-6)

18=3><(3X-6)

18=9X-18

9X=-18-18

9X=36

X=36/9

X=4

Hope this helps

Brainliest please

Answer: 18 cm

Step-by-step explanation:

We know the circumference formula is C=2πr. Since our circumference is given in terms of π, we can easily figure out what the radius is.

36π=2πr                   [divide both sides by π to cancel out]

36=2r                        [divide both sides by 2]

r=18 cm

Answer:

18cm

Step-by-step explanation:

because i found it lol

Answer:

20 4/5

Step-by-step explanation:

13/5 times 8/1

104/5

which is simplify

to 20 4/5\

hope this helps

Answer:

6x^2 -xy - y^2

Step-by-step explanation:

(2x-y)(3x+y)

FOIL

first: 2x*3x = 6x^2

outer: 2x*y = 2xy

inner: -y*3x = -3xy

last: -y^y = -y^2

Add these together

6x^2 +2xy-3xy - y^2

Combine like terms

6x^2 -xy - y^2

Answer:

[tex]= 6x^2 - xy - y ^2\\ [/tex]

Step-by-step explanation:

[tex](2x - y)(3x + y) \\ 2x(3x + y) - y(3x + y) \\ 6x^2 + 2xy - 3xy - y^2 \\ = 6x ^2- xy - y^2[/tex]

Answer:

91% of the time the auto will get less than 26 mpg

Step-by-step explanation:

Think of (or draw) the standard normal curve.  Mark the mean (22.0).  Then one standard deviation above the mean would be 22.0 + 3.0, or 25.0.  Two would be 22.0 + 2(3.0), or 28.0.  Finallyl, draw a vertical line at 26.0.

Our task is to determine the area under the curve to the left of 26.0.

Using a basic calculator with built-in statistical functions, we find this area as follows:

normcdf(-100, 26.0, 22.0, 3.0) = 0.9088, which is the desired probability:  91% of the time the auto will get less than 26 mpg.

Answer:

[tex]40^\circ,50^\circ$ and 90^\circ[/tex]

[tex]42^\circ,66^\circ$ and 72^\circ[/tex]

[tex]60^\circ,60^\circ$ and 60^\circ[/tex]

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees

(a)Given the angles 40° and 50°

The third angle is, therefore: [tex]180^\circ-(40^\circ+50^\circ)=90^\circ[/tex]

We, therefore, have the set: [tex]40^\circ,50^\circ$ and 90^\circ[/tex]

(b)Given the angles 42° and 66°

The third angle is, therefore: [tex]180^\circ-(42^\circ+66^\circ)=72^\circ[/tex]

We, therefore, have the set: [tex]42^\circ,66^\circ$ and 72^\circ[/tex]

(c)Given the angles 60° and 60°

The third angle is, therefore: [tex]180^\circ-(60^\circ+60^\circ)=60^\circ[/tex]

We, therefore, have the set: [tex]60^\circ,60^\circ$ and 60^\circ[/tex]

the answers are provided in the picture: