the table shows how much jake charged for the last 4 orders of pup cakes. what is the constant of proportionality in cost per pup cake?

The answer is:

a. [tex]a^{\frac{3}{2}}bc^{2}[/tex]

To simplify the expression, we need to transform the radical into a exponential form, then apply the exponential property.

Transforming radical to exponential form:

[tex]\sqrt[n]{x}=x^{\frac{1}{n}}\\\sqrt{x}=x^{\frac{1}{2} }[/tex]

Power of a power property:

[tex](a^{m})^{n}=a^{mn}\\\\(a^{m})^{\frac{1}{n}}=a^{\frac{m}{n}}[/tex]

So,

[tex]\sqrt[4]{a^{6}b^{4}c^{8}}=(a^{6}b^{4}c^{8})^{\frac{1}{4}}\\\\(a^{6}b^{4}c^{8})^{\frac{1}{4}}=a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}\\\\a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}=a^{\frac{3}{2}}bc^{2}[/tex]

Have a nice day!

Answer:

Step-by-step explanation:

It's simple just review the division and rules of exponents.

The slash means nothing more than divide 8/2=4 You're diving right? See!

The rule for exponents states that when diving exponents you subtract them, as you see x^3 near and under it is x so you divide the numbers and subtract the exponents.

8/2=4

exponents x^3/x subtract x^2

4x^2

next..6/2=3

exponents x^2-x=x   think of it as x is always 1 the exponent just shows you how many xs you have.

So, put the numbers together now 4x^2+3x if you're ever given a negative number just bring it to the opposite side of the line. There's many videos that you can watch online that should help!

The answer for your question would be, 4x^2+3x.

You're welcome!

Answer:  h = 15

Step-by-step explanation:

Volume (V) = Length (L) × width (w) × height (h)

1386 = 14 × 9 × (h - 4)

[tex]\dfrac{1386}{14\times 9}=h-4[/tex]

11 = h - 4

11 + 4 = h

15 = h

Answer:

Each ticket cost $9.50

Step-by-step explanation:

4x+6.25=44.25

    -6.25.      -6.25

4x=38

x=9.50

The cost of each movie ticket is $9.5.

Given that, a group of four friends went to the movies they bought a large bag of popcorn to share for $6.25 the total was $44.25.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of each movie ticket be x.

Now, 4x+6.25=44.25

⇒ 4x=44.25-6.25

⇒ 4x=38

⇒ x=38/4

⇒ x=$9.5

Hence, the cost of each movie ticket is $9.5.

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"Your question is incomplete, probably the complete question/missing part is:"

A group of 4 friends went to the movies in addition to their tickets, they bought a large bag of popcorn to share for 6.25 the total was $44.25 what is the cost of one movie ticket?

Answer:

<1 = 105

<2 =75

Step-by-step explanation:

Vertical angles are always equal. <2 = 75 because it is opposite a vertical angle.

<1 + <2 = 180                     (The two angles are given as supplementary to each other).

<1 + 75 = 180                     Subtract 75 from both sides.

<1 + 75 - 75 = 180 - 75      Combine

<1 = 105

Answer:

012/1000

Step-by-step explanation:

D) $5

Half of $25 is $5

25/5= 5

Answer:

It's B.

Step-by-step explanation:

A gives a triangle.

B gives a rectangle.

C gives a trapezoid.

D gives a square.

angle of elevation, aoe = 59 deg

height, h = 40ft

distance from pole, dfp

using

tan 59deg = h/dfp

=》 dfp = h/ tan 59deg = 40/1.67 = 23.95ft

Answer:

24.04 ft

Step-by-step explanation:

Kurt spots  a bird sitting at the top of a 40 foot tall telephone pole

Consider the right triangle formed by the line joining the base of telephone pole and Kurt's leg,  the pole itself and line joining Kurt leg and top of pole.

This is right angled and since angle of elevation is given as 59

we have

height of pole/distance of Kurt from base = tan 59

i.e. [tex]\frac{40}{x} =tan 59\\x =40cot 59[/tex]

where d is the required distance of Kurt from the pole.

Hence x = 24.038

=24.04 feet

Answer:

see explanation

Step-by-step explanation:

Expand the right side and compare the coefficients of like terms

(5x + 2)(ax² + bx + c)

= 5x(ax² + bx + c) + 2(ax² + bx + c) ← distribute parenthesis

= 5ax³ + 5bx² + 5cx + 2ax² + 2bx + 2c ← collect like terms

= 5ax³ + x²(5b + 2a) + x(5c + 2b) + 2c

For the 2 sides to be equal then like terms must equate, that is

5ax³ = 5x³ ⇒ 5a = 5 ⇒ a = 1

2c = - 6 ⇒ c = - 3

5b + 2a = k

5c + 2b = - 7 ← substitute c = - 3

- 15 + 2b = - 7 ⇒ 2b = 8 ⇒ b = 4

Substitute a = 1, b = 4 into 5b + 2a = k

20 + 2 = k ⇒ k = 22

The required values are

a = 1, b = 4, c = - 3 and k = 22

Answer:

Step-by-step explanation:

Y= .25x (12)

I think this is an equation for you question if not

Write a house runs a mile in 4 mins 1/4 = .25 miles /mins

You go with the second one i said. hope this gets brainlist

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

The inequality has the attached picture as its graph.. The inequality passes through (0,-1) and is a horizontal line. This means the inequality has the form y < b or y > b where b is the y-coordinate. Since the \shading is above the line then the values must be greater than -1. It is also a solid line so the inequality is equal to. The inequality is [tex]y\geq -1[/tex]

Answer:

[tex]A = 4500 ft^2[/tex]

Step-by-step explanation:

By definition:

The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.

We know that:

[tex]P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x[/tex]

The perimeter is:

[tex]P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5[/tex]

Now we find the length of the sides:

[tex]AB = 45\\BC = 205\\CA = 200[/tex]

Once the length of the sides is known, we use Heron's formula to calculate the area.

First I find the semiperimeter S.

[tex]S = 0.5(45 + 205 +200)\\S = 225[/tex]

Then the Area is:

[tex]A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2[/tex]

Answer:

t = 7.5 seconds

Step-by-step explanation:

Givens

vi = 120 f/s

a = -32 f/s

d = 0               It goes up, stops and comes back down landing where it starts.

Formula

d = vi*t + 1/2 a t^2

Solution

0 = 120*t - 1/2*32*t^2     transfer 120t to the left

-120*t = - 1/2 32 t^2        Multiply 32 and 1/2 together  

- 120t = - 16 t^2                Divide both sides by t

-120 =    -16 t                    Divide by -16

-120/-16 = (-16/-16) * t      

t = 7.5 seconds

Answer:

The answer is actually C. 7.5 I just answered this question on a quiz. I'm sorry for the late response and I hope this helps!

Answer:

C. [tex]\frac{14}{21} = \frac{18}{27} =\frac{2}{3}[/tex]

Step-by-step explanation:

The given triangles are similar.

If the two triangles are said to be similar, then the corresponding angles are equal and the corresponding sides are in proportion.

From the given figure, we are given two corresponding sides of each triangle.

We know the corresponding sides are proportion.

Let's form the proportion using the corresponding sides.

14 corresponds to 18

21 corresponds to 27

Therefore, [tex]\frac{14}{21} = \frac{18}{27}[/tex]

We can simplify the fraction 14/21 by dividing both the numerator and the denominator by 7.

[tex]\frac{14}{21}  = \frac{2}{3}[/tex]

Also, we can simplify 18/27 by dividing both the numerator and the denominator by 9.

[tex]\frac{18}{27} = \frac{2}{3}[/tex]

Therefore, answer is  C. [tex]\frac{14}{21} = \frac{18}{27} = \frac{2}{3}[/tex]

The correct option is b. 14/18=21/27=7/9 ,The correct option for the ratio of corresponding sides for the similar triangles is 1:3.

The ratio of corresponding sides for the similar triangles can be expressed as follows:

Let's denote the larger triangle's sides as **\(a\) and \(b\)**, and the smaller triangle's sides as **\(c\) and \(d\)**.

Given:

[tex]- Larger triangle: \(a = 18\) and \(b = 27\)\\- Smaller triangle: \(c = 14\) and \(d = 21\)[/tex]

The ratio of corresponding sides is:

[tex]\[\frac{a}{c} = \frac{18}{14} = \frac{9}{7}\]Similarly:\[\frac{b}{d} = \frac{27}{21} = \frac{9}{7}\]Both ratios are equal to \(\frac{9}{7}\).[/tex]

To reduce the ratio to lowest terms, we divide both the numerator and denominator by their greatest common factor (which is 9 in this case):

[tex]\[\frac{9}{7} = \frac{9 \div 9}{7 \div 9} = \frac{1}{\frac{7}{9}} = \frac{1}{\frac{7}{3}} = \frac{1}{\frac{21}{9}} = \frac{1}{3}\][/tex]

Therefore, the reduced ratio of corresponding sides for the similar triangles is **1:3**.

Answer:

the mode

Step-by-step explanation:

The mode of a set of data values is the value that appears most often. if it is the favorite, it will have the most votes so it will be what appears most often

Final answer:

The mode is the best measure of central tendency to describe the favorite fruit sold in the cafeteria because it shows the most frequently sold fruit. However, the mean could also be relevant if the average sales are of interest, while the median is typically less informative for this specific question.

Explanation:

The measure of central tendency that best describes the favorite fruit sold in the cafeteria would typically be the mode. This is because the mode identifies the category with the highest frequency, which means it represents the fruit that appears most often in the sales data, or in other words, the favorite. However, to provide a definitive answer, one would need to analyze the actual sales data of fruits sold in the cafeteria. If we're looking solely at what is most common without considering how much more common, then the mode suffices. If, on the other hand, we're interested in the average number of each type of fruit sold, then the mean would be more appropriate. The mean is calculated by taking the sum of all observations and dividing by the number of observations. The measure of central tendency known as the median might be less useful in this specific case unless we're interested in the middle value of fruit sales when they're ordered from least to most sold.

Answer:

i got A

Step-by-step explanation:

Final answer:

The area of the parallelogram is 1357.2 cm²

Explanation:

This question is based on basic understanding of geometry in general and about basics of parallelogram in particular.

There are two formulas to find area of parallelogram

1. By using the formula of area = ¹/₂ × d1 × d2 × sin Ф where; d1 and d2 are diagonals and sin Ф is the angle between diagonals.

2. By using the formula of area = b × h

Since, base and height are given in the question, second formula will be used

So, to find the area of a parallelogram, we use the formula:

A = base × height

Given:

Substituting the values in the formula, we get:

A = 82 cm × 16.6 cm = 1357.2 cm²

Therefore, the area of the parallelogram is 1357.2 cm²

When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event. P(A or B) = P(A) + P(B) so you add them

hope this helps :)

Answer:

3 × 10⁵

Step-by-step explanation:

[tex]\dfrac{3.6\times10^8}{1.2\times10^3}=\dfrac{3.6}{1.2}\times\dfrac{10^8}{10^3}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=3\times10^{8-3}=3\times10^5[/tex]

The value of the expression 3.6x10^8 / 1.2x10^3 equals 3x10^5. In this calculation, the coefficients are divided, and the powers of 10 are subtracted.

The question asks for the value of the expression 3.6x10^8 / 1.2x10^3. This is a division problem involving scientific notation. Here is the step by step solution:

So, the value of the expression 3.6x10^8 / 1.2x10^3 equals 3x105.

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Answer:

Step-by-step explanation:

There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.

One:     6^(1 - 1) = 6^0 =      1

Two:     6^(2 - 1) = 6^1 =      6

Three:   6^(3 - 1) = 6^2 =   36

Four:     6^(4 - 1) = 6^3 =   216

Sum = 259

Answer:

88°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 2 given angle and subtract from 180 for missing angle

missing angle = 180° - (56 + 36)° = 180° - 92° = 88°

Answer:

First Column:

T

F

F

F

Second Column:

F

T

T

T

Step-by-step explanation:

I'm assuming ~ means NOT and ^ means AND.

Evaluate the first column using AND logic; both inputs must be true for the output to be true.

Only the first case has both inputs true, so it will be the only one with a true output, the rest are all false.

Next, take the outputs from column one and apply NOT logic; the output will be the inverse of whatever the input was

Since the first case is true, its output will be false. Since the remaining cases are false, their outputs will be all true.

base, b = 45m

angle of elevation, aoe = 82deg

height at 86th floor, h1

height above 86th floor, h2 = 123m

total height, h = h1 + h2

using

tan (aoe) = h1/b

=》 h1 = tan (aoe) × b = tan 82 x 45 = 320.2

h = h1 +h2 = 320.2 + 123 = 443.2m

-- #34 is choice-C .

-- See the picture attached to this answer, for both solutions.

Answer: x=50

Step-by-step explanation: x-13=37, add 13 to both sides to eliminate "-13" on the side with the variable to get the variable by itself and whatever is behind the equal sign is the value of x

Answer: 88 Novels

Explanation:

Since there are 44 books per shelf and there are 8 shelves, we have a total of 44*8 or 352 books. Since only a quarter of them (1/4) are novels, we will multiply (1/4) and 352 together to get, 352*(1/4) equals 88 novels

Answer:

Step-by-step explanation:

yep hes correct C.) A = 2 • π • r • h

Step-by-step explanation:

The distance around a circle is the circumference, and the formula for it is

C = 2πr.

Taking the label off of the can and stretching it out makes this distance around the circle the length of the rectangular label.

To find the area of a rectangle, we multiply length and width; we know the length is 2πr.  The width of the rectangle is the height of the can; this makes the area

A = 2πrh. give him brainly not me

Answer:

its option c A=2 times pi times r times h

Step-by-step explanation: