Will wanted to make some brownies using the pan shown below. A rectangular prism with a length of 9 inches, width of 8 inches, and height of 1.5 inches. What is the maximum amount of brownie batter that Will can pour into the pan, in cubic inches? 37 54 108 216 (50 points)

Answer:

42

Step-by-step explanation:

= 10+8^3/16

= 10+512/16

= 10+32

= 42

Answer:

True

Thx for the points :)

The measure of angle F in the parallelogram is 55 degrees.

When two figures are similar, it means that their corresponding angles are equal and their sides are in the same ratio.

The figures in the image are two similar parallelograms:

Since the parallelograms are similar,  their sides are in the same ratio.

Check:

27/21 = 9/7 => TRUE

Now, since the corresponding angles are equal:

Angle N = Angle E

Hence ;

Angle E = 125 degrees

Note that; the consecutive angles of a parallelogram are supplementary.

Hence:

Angle E + Angle F = 180

125 + Angle F = 180

Angle F = 180 - 125

Angle F = 55°

Therefore, angle E measures 55 degrees.

Option C) 55° is the correct answer.

Learn more about parallelograms here: https://brainly.com/question/28854514

#SPJ1

The correct option for this question is c) approximately 68% of the students spent between $200 and $400.


Step 1: Identify the given information. The mean is $300, and the standard deviation is $50. The range is between $200 and $400.

Step 2: Calculate the number of standard deviations between the mean and each boundary. For $200, it's ($200 - $300) / $50 = -2 standard deviations. For $400, it's ($400 - $300) / $50 = 2 standard deviations.

Step 3: Since we don't have information about the shape of the distribution, we will use the Empirical Rule, which states that for a normal distribution, approximately 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations of the mean.

Step 4: In this case, we are looking at 2 standard deviations from the mean (between $200 and $400). According to the Empirical Rule, approximately 95% of the data falls within this range. However, since we don't know the exact shape of the distribution, we can't say for certain that 95% of the students spent between $200 and $400. However, we do know that at least 68% of the students would fall within 1 standard deviation of the mean. Thus, we can conclude that approximately 68% of the students spent between $200 and $400.

To know more about standard deviation visit:

brainly.com/question/23907081

#SPJ11

Answer:

1,2, and 3

Step-by-step explanation:

1+ (2*2) is equal to 5, so it has to be 1 and 2, and you can figure out that 3 goes after that.

Answer:

I think the answer is C

Step-by-step explanation:

If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%

The expression best describes the new length of the cookie will be 1.25y.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The initial length of the cookie is y after baking the length is increased by 25%

=   y  +  25%y

=   y   +  ( 25 / 100 ) y

=   y  +  0.25 y

=  1.25 y

Therefore the expression best describes the new length of the cookie will be 1.25y.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

The convergence set of the power series ∑n=1∞ \((x-2)^n/n^2\) is [1, 3). The series converges for x values in the interval [1, 3), and diverges for x values outside of this interval.

At the endpoints x = 1 and x = 3, the series converges for x = 1 and diverges for x = 3.

To find the convergence set of a power series, we can use the ratio test:

lim[n→∞] |\((x - 2)(n+1)^2 / n^2\)| = lim[n→∞] |\((x - 2)(1 + 2/n)^2\)| = |x - 2| lim[n→∞] \((1 + 2/n)^2\)

Since lim[n→∞] \((1 + 2/n)^2 = 1\), the series converges if |x - 2| < 1, and diverges if |x - 2| > 1.

If |x - 2| = 1, then the ratio test is inconclusive, so we need to check the endpoints x = 1 and x = 3 separately.

For x = 1, the series becomes:

∑n=1infinitynn2 = ∑n=1infinitynn2

which is the alternating harmonic series, which converges by the alternating series test.

For x = 3, the series becomes:

∑n=1infinitynn2 = ∑n=1[infinity]nn2

which diverges by the p-series test with p = 2.

Therefore, the convergence set of the series is:

1 ≤ x < 3

In interval notation, this can be written as:

[1, 3)

Learn more about convergence set of a power series

brainly.com/question/31440916

#SPJ11

Answer:

Monthly salary: $5,617; Weekly salary: $1,296

Step-by-step explanation:

Since there are 12 months in a year, you would divide the number of months by the salary.

67400/12x≈5617

The monthly salary is about $5,617.

Since there are about 52 weeks in a year, you would divide the number of weeks by the salary.

67400/52x≈1296

The weekly salary is about $1,296.

Answer:

  1/2

Step-by-step explanation:

The "Pythagorean relation" between trig functions can be used to find the sine.

The relation between sine and cosine is the identity ...

  sin(x)² +cos(x)² = 1

This can be solved for sin(x) in terms of cos(x):

  sin(x) = √(1 -cos(x)²)

For the present case, using the given cosine value, we find ...

  sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)

  sin(x) = 1/2

__

Additional comment

The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...

  sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)

A calculator can always be used to verify the result.

The jeans cost $56.24 after the 25% discount.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find the price of the jeans after the 25% discount,

We need to multiply the original price by 0.75 (which is 100% - 25%).

So,

Discounted price = $74.98 x 0.75 = $56.24

Therefore,

The jeans cost $56.24 after the 25% discount.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ3

Answer:

$875

Step-by-step explanation:

Total money * commission = money earned

12500 * .07 =

$875

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

Learn more about Surveys here:

brainly.com/question/13532910

#SPJ4

Answer:

ZW and FR

Step-by-step explanation:

1. ZX and RF don't match

- One Straight, One Slanted

2. ZX and PR don't match

- One Straight, One Slanted

3. ZW and FR both match

- Both Slanted

4. ZW and FP don't match

- One Straight, One Slanted

Answer:

50

Step-by-step explanation:

I copied it from someone

Answer:   5

Step-by-step explanation:

guess

Answer:

Option 1 or 16 + h = 24

Step-by-step explanation:

Tyrone ate 16 hamburgers today.

Tyrone had 24 hamburgers.

Hamburger = h.

We want to find how much Tyrone had left so:

h = 24 - 16

OR (we can move 16 to the other side)

h + 16 = 24

Option 1 is the answer

Answer:

\( = ( {x}^{a} - {3y}^{2b} ) \times ( {x}^{2a} + {3x}^{a} {y}^{2b} + {9y}^{4b} )\)

Step-by-step explanation:

\( {x}^{3a} - 27 {y}^{6b} \)

\(( {x}^{a} {)}^{3} - {3}^{3} \times ( {y}^{2b} {)}^{3} \)

\(( {x}^{a} {)}^{3} - (3 {y}^{2b} {)}^{3} \)

\(( {x}^{a} - {3y}^{2b} ) \times (( {x}^{a} {)}^{2} + {x}^{a} \times {3y}^{2b} + ( {3y}^{2b} {)}^{2} )\)

\( \boxed{\green{= ( {x}^{a} - {3y}^{2b} ) \times ( {x}^{2a} + {3x}^{a} {y}^{2b} + {9y}^{4b})}} \)

To construct a confidence interval for the proportion of defectives, we should use the plus four method.

Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes. 

The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.

To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.

This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.

The equation for the certainty interim utilizing the also four strategies is:

p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)

where:

p is the test extent (number of defectives/test estimate)

zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2

n is the test estimate (counting the included four nonexistent perceptions)

Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

learn more about the plus four method

brainly.com/question/31504643

#SPJ4

Answer:

1 notebook $2.39

Step-by-step explanation:

n=notebook     b= binder

6n +2b =23.52

3n +4b = 25.53

MULTIPLY THE FIRST BY -2 AND ADD BOTH

-12n -4b = -47.04

3n + 4b = 25.53

(b is eliminated since 4b -4b=0)

-9n =  -21.51

9n = 21.51

n = 2.39

A recent national survey of 1,000 married couples found that approximately 5% of husbands and 6% of wives admitted to having physically attacked their partner in the past year.

This is a concerning statistic, demonstrating the prevalence of domestic violence in marriages across the United States. It is important that couples learn how to recognize and address any forms of violence in their relationships.

It is also critical that communities and society as a whole recognize the seriousness of domestic violence and take the necessary steps to provide support and resources to help affected individuals and families.

This statistic that shows that 5% or husbands and 6% of wives were admitted due to violence is particularly concerning given the long-term implications of domestic violence in relationships.

To help address this issue, it is important to understand the root cause of these acts of violence and provide appropriate interventions to couples in need.

To learn more about couples, click here:

https://brainly.com/question/1100116

#SPJ4

If the temperature decreased by 15°F, Pilar would expect to sell 15 fewer cups of hot chocolate.

What is an equation?

An equation is a statement that shows the equality of two expressions by using an equal sign (=). It expresses a mathematical relationship between two or more variables or quantities.

Regarding the second question, to find out how many more cups of hot chocolate Pilar would expect to sell if the temperature decreased by 15°F, we can plug in t = 15 into the equation c = -t + 120 and calculate the difference between the original value of c and the new value.

c(Original) = -15 + 120 = 105

c(New) = -(15+15) + 120 = 90

The difference is:

c(New) - c(Original) = 90 - 105 = -15

Therefore, if the temperature decreased by 15°F, Pilar would expect to sell 15 fewer cups of hot chocolate.

To learn more about the equations, visit:

https://brainly.com/question/22688504

#SPJ1

Step-by-step explanation:

If g(x) = x² + 3x - 6

Then g (-7) can be found by substituting -7 for x in g(x) and solving the equation

⇒ g(-7) = (-7)² + 3(-7) - 6

⇒ g (-7) = 49 - 21 -6

⇒ g (-7) = 22

Finally, we have \(2\frac{11}{24}\) lbs of mini shrimps.

Given that;

A catering company needs 8.75 lbs of shrimp for a small party. they buy \(3\frac{2}{3}\) lbs of jumbo shrimps, \(2\frac{5}{8}\) lbs of medium-sized shrimps, and some mini-shrimps.

The total of 8.75th is changed as \(8\frac{3}{4}th\\\)

Sum of  \(3\frac{2}{3}\) +  \(2\frac{5}{8}\) this is bought by the company.

So, to purchase the remaining  \(8\frac{3}{4}th\\\) - \(3\frac{2}{3}\) - \(2\frac{5}{8}\)

We use a common denominator of 24 for the fraction parts.

Change \(8\frac{3}{4}\) as \(8\frac{18}{24}\)

Similarly, convert;

\(3\frac{2}{3}\) as \(3\frac{16}{24}\)

\(2\frac{5}{8}\) as \(2\frac{15}{24}\)

By solving all the above conversions, we get;

\(\frac{42-16-15}{24}\) = 11/24

Considering all the factors together we have \(2\frac{11}{24}\) lbs of mini shrimps.

To learn more about denominator click here:

brainly.com/question/7067665

#SPJ4

The needed Ahmed takes 45 seconds longer than Tonya to run a afar.

Simplification involves applying rules of computation and algebra to remove gratuitous terms, factors, or operations from an expression.

Then,

To calculate how much longer it takes Ahmed to run a afar than Tonya, we need to find the difference between their handling times.

First, we need to convert the times to a common unit. Let's convert the times to seconds,

Ahmed's time 8 twinkles 30 seconds = ( 8 x 60) 30 = 510 seconds

Tonya's time 7 twinkles 45 seconds = ( 7 x 60) 45 = 465 seconds

Now we can find the difference in their times

Ahmed's time- Tonya's time = 510 seconds- 465 seconds = 45 seconds

thus, Ahmed takes 45 seconds longer than Tonya to run a afar.

Learn more about simplification here:

brainly.com/question/12501526

#SPJ4

First one

1. XW≅ZW        1. Given     It's good to start with given

2.∠XWY ≅ ∠ZWY  2. Given     Again, get the given out of the way

3.WY ≅ WY    3.  Reflexive        This reason basically means that the line is equal to itself

4.ΔXWY ≅ZWY 4.  SAS                  We have a side, an angle and a side: SAS

Second Problem

Again, let's get the givens out of the way. I'm lazy, so just put the things in the given section in the boxes.

3. Vertical angles             This is just a fun way of saying that the angles on top of each other are equal

4. AAS                                We have an angle, an angle and a side. Whack em' together and you get AAS

this should be ok by now lmk if its not.

a) General solution of the system is (x, y, z) = (2, 0, 1).

b) There are no multiple solutions, and we cannot find two specific solutions.

The given system of linear equations is:
1) x - y + z = 3
2) 3x + 2z = 7
3) x - 4y + 2z = 5

The reduced matrix for this system is:
1 0 1
0 1 0
0 0 1

Using the reduced matrix, we can rewrite the system of linear equations as:
1) x + z = 3
2) y = 0
3) z = 1

Now we can solve the system step by step:

From equation (3), we know that z = 1.

Next, we can use the value of z in equation (1) to find x:
x + 1 = 3
x = 3 - 1
x = 2

Finally, from equation (2), we know that y = 0.

So, the general solution of the system is (x, y, z) = (2, 0, 1).

(b) Since there is only one solution to this system, there are no multiple solutions, and we cannot find two specific solutions.

Learn more about linear equations.

brainly.com/question/11897796

#SPJ11

Answer:

Garrett can order stickers from two companies. Company A charges a $30 design fee plus $0.80 per sticker. Company B charges a $14 design fee plus $1.20 per sticker. How many stickers would Garrett have to order for the cost at both companies to be the same?

Step-by-step explanation:

i got it right

If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams

Half life of radio active element = 8 minutes

Initial quantity of radio active element = 450 gram

Final quantity of radio active element = 37 grams

y = a(0.5)^(t/h)

Substitute the values in the equation

37 = 450 (0.5)^(t/8)

Move 37 to left hand side of the equation

37 / 450 = 0.5^(t/8)

Convert the terms to logarithm

t/8 = \(log_{0.5}\frac{37}{450}\)

t/8 = 3.60

t = 8 × 3.60

Multiply the numbers

t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams

Learn more about half life here

brainly.com/question/4318844

#SPJ4

The sum of the arithmetic series of 28 + 28.4 ...+ 42 is 1260.

An arithmetic series is a sequence of numbers in which each term is obtained by adding a constant difference, called the common difference, to the preceding term.

To resolve this issue, we can utilise the following formula for the sum of an arithmetic series:

S = (n/2) * (a₁ + aₙ)

When n is the number of terms, a1 is the first term, and an is the nth term, S is the series total.

To find the number of terms, we need to figure out the pattern of the series. The common difference (d) is expressed as follows:

d = 28.4 - 28 = 0.4

To get from 28 to 42, we need to add (42 - 28)/0.4 = 35 terms.

So the number of terms is:

n = 35 + 1 = 36

The first term is a₁ = 28, and the last term is aₙ = 42.

Now we can plug these values into the formula:

S = (n/2) * (a₁ + aₙ)

= (36/2) * (28 + 42)

= 18 * 70

= 1260

Therefore, the sum of the arithmetic series is 1260.

Learn more about arithmetic series visit:

https://brainly.com/question/27270987

#SPJ1