Rhonda uses 0.25 pounds of butter to make a batch of her grandmother’s cookies. She needs to make 4.5 times the recipe for the school bake sale, and an additional two batches for her family. How much butter does Rhonda use to make all the cookies?

Answer:

D. 52cm

Step-by-step explanation:

The perimeter of a shape is the sum of all its sides.

Not all of the sides are labelled in the diagram. We are missing two sides which I labelled "x" and "y" in the photo below.

We assume all sides are either parallel or perpendicular to each other since they look mostly "straight".

Find the length of the side x:

This side is like the 14cm side, except it's shorter by 3cm at the top and 3cm at the bottom.

x = 14cm - 3cm - 3cm

x = 8cm

Find the length of the side y:

This side is the same length as the 7cm side already labelled at the top.

y = 7cm

Find the perimeter:

Add all of the sides together.

P = 14cm + 7cm + 7cm + 3cm + 3cm + 5cm + 5cm + 8cm

If you want, you can simplify to this equation since some numbers are repeated.

P = [ 2(7 + 3 + 5) + 14 + 8 ] cm

Either way, you get the same answer.

P = 52 cm

The frequency of the sound waves is 850 Hz.

To determine the frequency of the sound waves, we need to use the formula:

frequency = speed of sound / wavelength

First, we need to find the wavelength. We know that 20 waves are formed in a distance of 8.0m. Therefore, the wavelength can be calculated as:

wavelength = distance / number of waves
wavelength = 8.0m / 20
wavelength = 0.4m

Now we can use the formula to find the frequency:

frequency = speed of sound / wavelength
frequency = 340 m/s / 0.4m
frequency = 850 Hz

Therefore, the frequency of the sound waves is 850 Hz.

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Answer: The dividend yield on Stock A = 0.04

Step-by-step explanation:

Given: quarterly dividend = $0.15 per share

Annual dividend per share = 4 x 0.15 = $0.6  [1 year = 4 quarters]

Stock's price per share = $0.15

The computation of dividend is given by :-

Dividend yield = (annual dividend per share) divided by (the stock's price per share).

Here, Dividend yield = (0.6) ÷ 15 =  0.04

Hence, the dividend yield on Stock A = 0.04

Answer:

Take deep breaths and solve the problem.

Step-by-step explanation:

-So, We have the following equation...  \(>See \;Below<\)

\(-7 \frac{2}{3} + -5 \frac{1}{2} + 8 \frac{3}{4}\)

-First, we need to add \(-7\frac{2}{3}\) and, \(-5\frac{1}{2}\).   \(>See\;Below<\)

\(-7 \frac{2}{3} + -5 \frac{1}{2} = 13.1\)

-Next, add \(13.1\) and \(8\frac{3}{4}\).   \(>See\;Below<\)

\(13.1+8\frac{3}{4} =21.85\)

-So, your final answer is \(21.85\)!

In fraction form it is \(21\frac{17}{20}\).

Changed to a improper fraction it is \(\frac{437}{20}\)!

Answer:

Using the substitution method, the y-coordinate of the solution to this system of equations is -4.

Using the elimination method, the y-coordinate of the solution to this system of equations is also -4.

Step-by-step explanation:

Answer:

41.25 ft for the area

Step-by-step explanation:

this is because when  1/4, 3/4, and 1/2 are added you get 1.5in =10.5 ft

and the other side with be 3.75in = 30.75 ft and added 10.5+30.75 =41.25

Answer:

2 Ounces.

Step-by-step explanation:

Each rocket must weigh 4 pounds or less.

Therefore: 4 Pounds =16 X 4=64 Ounces

Since Hectors rocket weighs 62 ounces and he cannot exceed 64 Ounces, the weight of the most paint he can use is:

64-62=2 Ounces.

He can use paint that weights at most 2 Ounces.

Answer:

C

Step-by-step explanation:

The answer is c because 10.5 also equals up to 1,32300

The statement describes the growth of the account as C. The account grew exponentially at an annual interest rate of 5.00%.

Cash accounts

A cash account might be the type of funding account you believe you studied when you consider making an investment. You deposit cash into a coins brokerage account, and you then use the budget to shop for securities.

A cash account is suitable for the majority of traders. It lets you buy investments with the cash you deposit into the account. A margin account is for investors who want to borrow cash from the broker to buy investments. Margin trading is a riskier sort of investing this is nice proper for advanced traders.

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Answer:

48 1/8s

Step-by-step explanation:

a whole is 8/8 so u multiply 8 by 16 to get 48

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a) The center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

b) We have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

(a) Deriving the class equation of a finite group G involves partitioning the group into conjugacy classes. Conjugacy classes are sets of elements in the group that are related by conjugation, where two elements a and b are conjugate if there exists an element g in G such that b = gag^(-1).

To derive the class equation, we start by considering the group G and its conjugacy classes. Let [a] denote the conjugacy class containing the element a. The class equation is given by:

|G| = |Z(G)| + ∑ |[a]|

where |G| is the order of the group G, |Z(G)| is the order of the center of G (the set of elements that commute with all other elements in G), and the summation is taken over all distinct conjugacy classes [a].

The center of a group, Z(G), is the set of elements that commute with all other elements in G. It can be written as:

Z(G) = {z in G | gz = zg for all g in G}

The order of Z(G), denoted |Z(G)|, is the number of elements in the center of G.

The conjugacy classes [a] can be determined by finding representatives from each class. A representative of a conjugacy class is an element that cannot be written as a conjugate of any other element in the class. The number of distinct conjugacy classes is equal to the number of distinct representatives.

By finding the center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

(b) To prove that a Sylow p-subgroup of a finite group G is normal if and only if it is unique, we need to show two implications: if it is normal, then it is unique, and if it is unique, then it is normal.

If a Sylow p-subgroup is normal, then it is unique:

Assume that P is a normal Sylow p-subgroup of G. Let Q be another Sylow p-subgroup of G. Since P is normal, P is a subgroup of the normalizer of P in G, denoted N_G(P). Since Q is also a Sylow p-subgroup, Q is a subgroup of the normalizer of Q in G, denoted N_G(Q). Since the normalizer is a subgroup of G, we have P ⊆ N_G(P) ⊆ G and Q ⊆ N_G(Q) ⊆ G. Since P and Q are both Sylow p-subgroups, they have the same order, which implies |P| = |Q|. However, since P and Q are subgroups of G with the same order and P is normal, P = N_G(P) = Q. Hence, if a Sylow p-subgroup is normal, it is unique.

If a Sylow p-subgroup is unique, then it is normal:

Assume that P is a unique Sylow p-subgroup of G. Let Q be any Sylow p-subgroup of G. Since P is unique, P = Q. Therefore, P is equal to any Sylow p-subgroup of G, including Q. Hence, P is normal.

Therefore, we have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

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Answer:

15 m, 20 m, 25 m forms a right triangle.

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Answer:

P(-5) = 109

Step-by-step explanation:

     If the polynomial p(x) is divided by the linear polynomial (x-a), the remainder is p(a).

   Dividend = divisor * quotient + remainder.

   p(x) = (x-a) * q(x) + p(a)

Here, q(x) is the quotient and p(a) is the remainder.

      P(x) = 4x² - x + 4

     P(-5) = 4*(-5)² - 1*(-5) + 4

              = 4*25 + 5 + 4

              = 100 + 5 + 4

              = 109

The t-distribution is the distribution that uses t-values to establish confidence intervals.t-distribution:

The t-distribution is a probability distribution that is widely used in hypothesis testing and confidence interval estimation. It's also known as the Student's t-distribution, and it's a variation of the normal distribution with heavier tails, which is ideal for working with small samples, low-variance populations, or unknown population variances.The t-distribution is commonly used in hypothesis testing to compare two sample means when the population standard deviation is unknown. When calculating confidence intervals for population means or differences between population means, the t-distribution is also used. The t-distribution is used in statistics when the sample size is small (n < 30) and the population standard deviation is unknown.

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Answer:

24

Step-by-step explanation:

Answer:

3,772 bottles.

Step-by-step explanation:

To find the answer to this question, you want to multiply the two values.

There are 164 shelves and each shelve holds 23 bottles.

164 x 23 = 3,772

So, the shelves can hold a total of 3,772 bottles.

The length of a pendulum with a period of 2 seconds is approximately 51.

the formula for the period of a simple pendulum as a function of its length is given as:

t(l) = 2π √(l/32.2)

we can rearrange this equation to solve for l:

t(l) = 2π √(l/32.2)

t(l)/(2π) = √(l/32.2)

[t(l)/(2π)]² = l/32.2

l = 32.2 * [t(l)/(2π)]²

to determine the length of a pendulum with a period of 2 seconds, we can substitute t = 2 seconds into the equation above:

l = 32.2 * [2/(2π)]²

l = 32.2 * [1.2732]²

l ≈ 51.92 feet 92 feet when π is taken to be 3.14 and rounding to the nearest hundredth.

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Answer:

------------------------

Three-digit integer in the form of abc.

Possible numbers for each digit

Let a = 5 or 7, then for a we have 2, for b and c 10 options:

Let b = 5 or 7, then for a we have 9 - 2 = 7, for b 2 and for c 10 options

Let c = 5 or 7, then for a we have 9 - 2 = 7, for b 10 - 2 = 8 and for c 2 options

The equation for the maximum number of yards per second that can be run is y = 5/3 s.

A direct variation measurement between distance covered and time taken can be composed as:

y=kx,

where,

This is because the athlete's distance travelled directly varies with the amount of time it takes.

Find k using the given values:

y=kx,

10 = k(6)

k = 10/6

k = 5/3

As a result, the equation for the maximum number of yards per second is y = 5/3 s.

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The dimensions of the poster with the smallest area is (\(12\sqrt{389} +24\)) units width and (\(\sqrt{389} /6+4\)) units height.

It is a measurement of a point or line extended in one direction, according to the notion of dimension. Each shape we see has a few dimensions.

The statement indicating the powers to which the fundamental units are to be increased in order to obtain one unit of a derived quantity is known as the dimensional formula of any quantity. The formulation for any physical quantity Q's dimensional formula is given by,

Dimensional Formula: Q = \(M^{a}L^{b}T^{c}\)

The area of printable area is wh.

wh = 778

Due to margins on both sides, the poster is w + 2*12 wide and h + 2*2 tall.

We want to reduce the poster's size =

(w+ 2 * 12)(h + 2 * 2) or (w + 24)(h + 4)

Wh = 778, thus we can replace it with h = 778/w.

Then, A = (w + 24)(778/w + 4)is the poster's size, which we aim to reduce.

(w + 24)(778/w + 4) = 778 + 4w + 18672/w + 96 =

4w + 874 + 18672/w

We minimize this by calculating

the formula dA/dw = 4 - 18672/w2 and setting it to 0

\(4-18672/w^{2} =0\)

\(4w^{2} =18672\)

\(w^{2} =18672/4\)

\(w=\sqrt{4668}=12\sqrt{389}\)

\(h=778/(12\sqrt{389} )=\sqrt{389} /6\\\)

Keep in mind that the margins' ratio matches that of h and w.

In due to the fact that the problem requests the poster's width and height,

Width = \(12\sqrt{389} +24\)

Height = \(\sqrt{389} /6+4\)

Thus, the width is (\(12\sqrt{389} +24\)) units and the height is (\(\sqrt{389} /6+4\)) units.

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The formula for the radius of convergence, denoted by $R, is $R = lim n to infinity frac M |n + 1 = 0 $. As a result, the radius of convergence is equal to zero, and the interval of convergence is equal to [3,3]. The following is the given series:$$(-1) (x - 3) (n + 1)$$

First, in order to determine the radius of convergence, let's take the absolute value of the series:$$\begin{aligned} \left|(-1) (x - 3) (n + 1)\right| &\leq M \\ |x - 3| &\leq \frac{M}{|n + 1|} \end{aligned}$$

For $x = 3$, we have$$\begin{aligned} \left|(-1) (x - 3) (n + 1)\right| &= \left|(-1)(0)(n + 1)\right| \\ &= 0 < M \end{aligned}$$

Therefore, the above series will always converge to the solution x = 3, which is always the case. We have $$begin aligned left|(-1) (x - 3) (n + 1)right| &leq M |x - 3| &leq fracM|n + 1| &begin aligned end aligned for the values of $x$ other than 3.$$

Therefore, the formula for the radius of convergence, denoted by $R, is $R = lim n to infinity frac M |n + 1 = 0 $. As a result, the radius of convergence is equal to zero, and the interval of convergence is equal to [3,3].

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Answer:

Step-by-step explanation:

poop

I don't understand it. Explain more.

Answer:

11 hours

Step-by-step explanation:

We first want to find the unit rate, mi/hr:  520 mi / 8 hr = 65 mi/hr.

We know that distance is the product of rate and time or d=rt

Thus, we have 715 = 65t, where t = 11 hours

It would take Deandre approximately 10.93 hours to drive 715 miles at the same rate he drove 520 miles in 8 hours.

To find out how long it would take Deandre to drive 715 miles at the same rate, we can use the concept of "distance equals rate multiplied by time" (d = rt).

We already know the distance (d) and rate (r) from the first scenario:

Distance (d) = 520 miles

Time (t) = 8 hours

Now, we need to find the time (t) for the second scenario when the distance is 715 miles.

Let's set up the equation using the same rate (r):

d = rt

For the second scenario:

Distance (d) = 715 miles

Rate (r) = Same rate as before

Time (t) = Unknown (what we want to find)

The equation becomes:

715 = r * t

Now, to find the time (t), we can rearrange the equation:

t = 715 / r

We know that the rate (r) is the same as in the first scenario, which is 520 miles in 8 hours. So, we can substitute r into the equation:

t = 715 / (520/8)

Now, divide 715 by (520/8):

t = 715 / (520/8) ≈ 10.93

Therefore, it would take Deandre approximately 10.93 hours to drive 715 miles at the same rate he drove 520 miles in 8 hours.

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In a convex polygon, the sum of all the exterior angles is always equal to 360 degrees. Given that the four of the exterior angles each measure 56 degrees, we can find the measure of the fifth angle by following these steps:

Here is the step by step explanation

1. Calculate the sum of the four exterior angles that is  4 x 56 = 224 degrees.

2. Subtract the sum of the four angles from the total sum of exterior angles in a convex polygon (360 degrees): 360 - 224 = 136 degrees.

Therefore, the measure of the fifth exterior angle is 136 degrees.

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Answer:

a=13 3/4 (13.75)

Step-by-step explanation:

1 2/5a=19 1/4

a=19 1/4÷1 2/5

a=19 1/4÷7/5

a=19 1/4x5/7

a=77/4x5/7

a=385/28

a=13 21/28

a=13 3/4

Answer: 1 2/5 = Mixed number, 7/5 as a fraction

Step-by-step explanation:

7/5 = Step 1: Write down the percent divided by 100 like this:

140% = 140/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 140 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(140,100) = 20. So,

(140÷20)/(100÷20) = 7/5 when reduced to the simplest form.

1 2/5 = Write down the percentage divided by 100 without % symbol.

If the percentage is not a whole number, then multiply both numerator and denominator by 10^n (where n is the number of digits after the decimal point)

Simplify the fraction

Using the above steps, here is the math showing you how to convert 140 percent to fraction

= 140%

= 140/100

You can simplify this fraction :

Find greatest common factor of 140 and 100

GCF(140,100) = 20

140 ÷ 20/100 ÷ 20

=

7/5.

Hope this helped!

Answer:

Step-by-step explanation:

5x-2y=24

x+2y=12

add the two equations

(5x-2y)+(x+2y)=24+12

6x=36

x=6

Plug in x=6 into any of the two equations

5(6)-2y=24

30-2y=24

-6= -2y

y= 3

x=6

y=3

(6,3)

The brackets are first, then the multiplication

Answer:

Julie buy \(5\frac{5}{7}\) pounds of turnips.

Step-by-step explanation:

We are given that Julie bought a bag of parsnips that weighed (\(4\frac{2}{7}\)) pounds. She also bought a bag of turnips that weighed (\(1\frac{1}{3}\)) times as much as the parsnips.

We have to find how many pounds of turnips did Julie buy.

Firstly, the weight of a bag of parsnips that Julie bought = \(4\frac{2}{7}\) = \(\frac{30}{7}\) pounds

Now, it is stated that she bought a bag of turnips that weighed (\(1\frac{1}{3}\)) times as much as the parsnips, that means;

Weight turnips bag = \(\frac{4}{3} \times \frac{30}{7}\)

                              = \(4 \times \frac{10}{7}\)

                              = \(\frac{40}{7}\)

So, Julie buy \(5\frac{5}{7}\) pounds of turnips.