What is the product? enter your answer as a fraction, in simplified form, in the box. −1/4⋅(−6/11)?

To convert from pounds to ounces, multiply the number of pounds by the unit equivalence of 1 pound = 16 ounces.

Conversion from pounds to ounces:

First, find the unit equivalence: 1 pound = 16 ounces.

Next, multiply the number of pounds by the unit equivalence. Thus, 5 pounds x 16 equals 80 ounces.

Answer: For Plato users the answer is

B . $ 17,631.94

Step-by-step explanation:

The set of all real numbers n that are less than -3 can be represented as: [tex]\[ \{ n \mid n < -3 \} \][/tex]

The set of real numbers less than -3 encompasses an infinite range of values extending to the left of -3 on the number line. These numbers are characterized by being smaller than -3, denoted as ( n < -3 ). In interval notation, this set is represented as (-∞, -3), indicating that it includes all real numbers from negative infinity up to, but not including, -3.

This set is unbounded, as there is no limit to how far left the numbers extend, encompassing an infinite continuum of values that are progressively smaller than -3.

For a member of the science museum, the total cost of 10 visits is equals to $19.

" Cost is defined as the amount paid for any purchase something or using any services."

According to the question,

Membership cost per person to the Science Museum = $9

Per visit cost for a member = $1

'x' represents the number of visits

'y' represents the total cost

As per the condition we get,

y = 9 + $1x

Therefore,

Total cost of 10 visits ,

y = 9 + 1(10)

  = 9 + 10

  = $19

Hence, for a member of the science museum, the total cost of 10 visits is equals to $19.

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The total comes to $37.67, so the closest answer is (b) $37.68.

We will calculate how much Zalia paid for her day at the science museum including admission fees, lunch, and the tax and tip for both of these.

Firstly, let's calculate the total cost of admission for Zalia and her friend:

Admission for one person: $12.50

Admission for two people: $12.50 x 2 = $25.00

Now, let's find the total cost of Zalia's lunch:

Sandwich cost: $5.95

Apple cost: $1.25

Drink cost: $1.69

Total lunch cost before tax and tip: $5.95 + $1.25 + $1.69 = $8.89

Next, we add the tax:

Tax for admission: $25.00 x 7.25% = $1.81

Tax for lunch: $8.89 x 7.25% = $0.64

Total tax: $1.81 + $0.64 = $2.45

Now, we calculate the tip for the lunch:

Tip: $8.89 x 15% = $1.33

Finally, add everything up to get the total amount Zalia paid:

Total cost without tax and tip: $25.00 + $8.89 = $33.89

Total tax and tip: $2.45 + $1.33 = $3.78

Grand total: $33.89 + $3.78 = $37.67

Examining the provided options, we can see that the closest amount to our calculation is $37.68, considering the possibility of a rounding difference in the final tax and tip calculations. Thus, the correct answer is (b) $37.68.

Answer:  The required sum of first terms of the series is [tex]\dfrac{1705}{64}.[/tex]

Step-by-step explanation:  We are given to find the sum of the first five terms of a geometric series with first term and common ratio as follows :

[tex]a_1=20~~~~~\textup{and}~~~~~r=\dfrac{1}{4}.[/tex]

We know that

the sum of first n terms of a geometric series with first term [tex]a_1[/tex] and common ratio r is given by

[tex]S_n=\dfrac{a(1-r^n)}{1-r}.[/tex]

Therefore, the sum of first 5 terms of the given geometric series is given by

[tex]S_5\\\\\\=\dfrac{a(1-r^5)}{1-r}\\\\\\=\dfrac{20(1-(\frac{1}{4})^5)}{1-\frac{1}{4}}\\\\\\=\dfrac{20\left(1-\frac{1}{1024}\right)}{\frac{3}{4}}\\\\\\=20\times\dfrac{4}{3}\times\dfrac{1023}{1024}\\\\\\=20\times\dfrac{341}{256}\\\\\\=\dfrac{5\times 341}{64}\\\\\\=\dfrac{1705}{64}.[/tex]

Thus, the required sum of first terms of the given geometric series is [tex]\dfrac{1705}{64}.[/tex]

For all the people that actually have this question:

For babies between 1 and 11 months old, the equation y = 1.2x + 8.9 models the baby's weight when the baby is x months old.  A baby in that age range weighs 17.5 lbs.  What is the best estimate for the age of the baby?

Answer:

7 months

Step-by-step explanation:

1.2 * 7 + 8.9 = 17.3 & 17.3 is close to 17.5

I just took the test!

The weight that a baby gain per month is 1.2.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given is a linear equation,

y = 1.2x + 8.9

This equation compares the ages of babies between 1 and 11 months old (x) and their average weights in pounds (y).

This equation is in the slope intercept form, where 1.2 is the slope and 8.9 is the y intercept.

Slope is the change in y coordinates by change in x coordinates.

So, weight baby gain per month is 1.2.

Hence 1.2 is the weight that the baby gain per month.

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Answer:

b: 22

Step-by-step explanation:

To optimize the dimensions of a rectangle with an area of 32 square cm such that the distance from one corner to the midpoint of a non-adjacent edge is minimized, one must use the Pythagorean theorem and calculus. The minimum distance occurs when the rectangle is a square with sides measuring 4√2 cm.

Assume the rectangle's dimensions are length L and width W, with the given area 32 cm2 such that LW = 32. To minimize the distance (D) from one corner to the midpoint of the non-adjacent edge, we can use the Pythagorean theorem, given by D = √(L2 + (W/2)²).

Since the area is fixed, W can be expressed as 32/L, and we can write D as a function of L. After substituting 32/L for W and differentiating with respect to L, we can find the minimum by setting the derivative equal to zero and solving for L.

The minimum distance is achieved when the rectangle is a square, with length and width both equal to √32, which simplifies to 4√2 cm, which is approximately 5.66 cm for both dimensions.

The answer is 6a+8b, so *D*, hope it helps!

Answer:

if your a k12 kid this is old and was once not a multip choice question but the answer is b

Step-by-step explanation:

-Former k12 kid

The rates of change in y for the given values of x are -36 cm/sec, 0 cm/sec, and 108 cm/sec respectively by using the derivative dy/dt = 18*x*dx/dt.

This problem is a case of related rates in calculus. Given that dx/dt is constant at 2 cm/sec and the function y = 9x2 + 5, we need to differentiate the function with respect to t to find dy/dt. Solving for dy/dt, you get dy/dt = 18x * dx/dt.

So, the rates of change in y with respect to time for the given values of x are -36 cm/sec, 0 cm/sec, and 108 cm/sec respectively.

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Answer:

We should use C. 1.25

Step-by-step explanation:

We know that the children's book dimensions are 20 cm x 24 cm

We need to find a scale factor (which is a number) that will turn the dimensions 20 cm x 24 cm ⇒ 25 cm x 30 cm

We can write :

(20 cm) . a = 25 cm

Where ''a'' is the scale factor.

Solving for a :

[tex](20cm).a=25cm\\a=\frac{25cm}{20cm}=1.25 \\a=1.25[/tex]

This result is reasonable because the scale factor won't have units

A scale factor of 1.25 turns 20 cm ⇒ 25 cm

We can use the another dimension to verify :

(24 cm) . a = 30 cm

(24 cm) . (1.25) = 30 cm

30 cm = 30 cm

The scale factor is option C. 1.25

To find out what percentage of the £385 Laura gets, we need to determine the amounts that Kim and Molly get. By solving equations and subtracting their amounts from the total, we find that Laura gets approximately 45.45% of the £385.

To find out what percentage of the £385 Laura gets, we need to first find out the amounts that Kim and Molly get. Let's assume that Kim gets x amount. According to the ratio, Molly gets 5x amount. From the information given, we know that Kim gets £105 less than Molly, so we can write the equation: 5x - x = £105. Solving this equation, we get x = £35. Therefore, Kim gets £35 and Molly gets 5x £35 = £175. Now, to find out the amount Laura gets, we subtract the amounts of Kim and Molly from the total amount: £385 - £35 - £175 = £175. So Laura gets £175. To find out the percentage, we divide the amount Laura gets by the total amount (£385) and multiply by 100: (175 / 385) * 100 = 45.45%. Therefore, Laura gets approximately 45.45% of the £385.

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Answer:

The answer is [tex]a4=17[/tex]

Step-by-step explanation:

we have the sequence

[tex]2,5,10,17,...[/tex]

Let

a1-----> the first term

a2----> the second term

a3----> the third term

a4----> The fourth term

In this problem we have

[tex]a1=2[/tex]

[tex]a2=5[/tex]

[tex]a3=10[/tex]

[tex]a4=17[/tex]

therefore

the answer is

[tex]a4=17[/tex]