A bake sale successfully sells all of its food items over two hours. Which of the following graphs could represent this situation? A. B. C. D.

Answer:

[tex]\large \text{$ 4 x^{\frac{14}{3}}y^{\frac{8}{3}}$}[/tex]

Step-by-step explanation:

Given expression:

[tex](8x^7y^4)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a \cdot b)^c=a^{c} \cdot b^{c}:[/tex]

[tex]\implies 8^{\frac{2}{3}} \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]

[tex]\implies 4 \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 4 \cdot x^{\frac{14}{3}}\cdot y^{\frac{8}{3}}[/tex]

[tex]\implies 4 x^{\frac{14}{3}}y^{\frac{8}{3}}[/tex]

Expand [tex]\bf{(8x^{7}y^{4})^{\frac{2}{3} } }[/tex]

[tex]\bf{8^{\frac{2}{3} }(x^{7})^{\frac{2}{3} }(y^{4})^{\frac{2}{3} } }[/tex]

To raise a power to another power, multiply the exponents. Multiply 7 and 2/3 to get 14/3.

[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }(y^{4})^{\frac{2}{3} } }[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2/3 to get 8/3.

[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }y^{\frac{8}{3} } }[/tex]

Calculate 8 to the power of 2/3 and you get 2/4.

[tex]\bf{4x^{\frac{13}{4} }y^{\frac{8}{3} } \ \ ==== > \ \ \ Answer }[/tex]

Under the assumption of uniform iron beam and definition of uniform density, the total mass of the iron beam is equal to 81931.2 grams.

Let suppose that the iron beam has an uniform density, the mass of the iron beam (m), in gram, is equal to the product of its density (ρ), in grams per cubic centimeter, and its volume (V), in cubic centimeters:

m = ρ · V     (1)

If we know that ρ = 10504 cm³ and V = 7.8 g/cm³, then the mass of the iron beam is:

m = (7.8 g/cm³) · (10504 cm³)

m = 81931.2 g

Under the assumption of uniform iron beam and definition of uniform density, the total mass of the iron beam is equal to 81931.2 grams.

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The solution to the quadratic equation 6x² + 6 = 12x is x = 1

The quadratic equation is given as:

6x² + 6 = 12x

Equate the equation to 0

6x²  - 12x + 6 = 0

Expand the equation

6x²  - 6x - 6x + 6 = 0

Factorize the expression

6x(x  - 1) - 6(x - 1) = 0

Factor out x - 1

(6x - 6)(x  - 1) = 0

Split

6x - 6 = 0 or x - 1 = 0

Solve for x in both instance

x = 1 or x = 1

Hence, the solution to the quadratic equation 6x² + 6 = 12x is x = 1

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The equation of the circle is:

[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]

The general equation for a circle of radius R and center (a, b) is:

[tex](x - a)^2 + (y - b)^2 = R^2[/tex]

Here the center is (-4, -2), and it contains the point (4, -17), so the radius is:

[tex]R = \sqrt{(4 - (-4))^2 + (-2 + 17)^2} = 17[/tex]

So the equation of the circle is:

[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]

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Answer:

$20

Step-by-step explanation:

49 is the outlier

Answer:

  M(-1/2, -1/2, 1/2)

Step-by-step explanation:

To find the midpoint of a line segment, average the coordinates of the end points.

  M = (A +B)/2

__

  M = (V +W)/2

  M = ((3, 7, -6) +(-4, -8, 7))/2 = (3-4, 7-8, -6+7)/2 = (-1, -1, 1)/2

  M = (-1/2, -1/2, 1/2)

The midpoint between V and W is M(-1/2, -1/2, 1/2).

Answer:

X > 3

Step-by-step explanation:

When divided or multiplied by a negative number the inequality will change

Answer:

3x(5-7)°+1(5x-7)°

3x×5-3x×7+1×5x-1×7

15x-21x+5x-7

15x+5x-21x-7

20x-14

Answer:

  x⁷y⁷

Step-by-step explanation:

An exponent signifies the base is a repeated factor in the product. The exponent is the number of times it is a factor.

__

The term (xy)^7 means (xy) is a factor 7 times:

  = (xy)·(xy)·(xy)·(xy)·(xy)·(xy)·(xy)

The commutative and associative properties of multiplication let us rearrange this to ...

  = (x·x·x·x·x·x·x)·(y·y·y·y·y·y·y)

  = (x^7)(y^7)

The expression can be simplified to ...

  [tex](xy)^7 =\boxed{x^7y^7}[/tex]

_____

The rule of exponents is ...

  (ab)^c = (a^c)(b^c)

Answer:

C

Step-by-step explanation:

Answer: y=-1x+5

Step-by-step explanation:

1. Use slope-intercept formula (y = mx + b) to find the slope which is represented by the variable 'b'.

m = ∆y / ∆x

m = -1 / 1

m = -1

y= -1x + b

2. Use any cooresponding x and y values to substitute into the formula. Ex: (x,y) → (1,4)

y = mx + b

4 = -1(1) + b

4 = -1 + b

5 = b

3. Plug in the values found into the formula.

y = -1x + 5

Answer:

See below ~

Step-by-step explanation:

Volume of prism :

Volume of small-size box of dog treats :

Answer: 10:58 a.m.

Step-by-step explanation:

To solve this problem, find how many hours will pass in the given timeframe. From this Monday to next Monday, a week will pass. A week is equal to 7 days. A day has 24 hours, so multiply 7 days by 24 hours. 7*24 = 168 hours.

Since the watch gains 10 seconds every hour, multiply 168 hours by 10 seconds. This means your watch will gain 1680 seconds over the week.

To find what time the watch will be at, first find how many minutes will pass. There are 60 seconds in a minute, so divide 1680 seconds by 60 seconds. 1680/60 = 28.

Add 28 minutes to 10:30 a.m. to get a final time of 10:58 a.m.

Answer:

a

Step-by-step explanation:

f(x)-g(x)=2x square-3x+6-(3x square +4x-8)

2x square-3x+6-3x square-4x+8

-x square-7x+14

1.  solid and liquid

2. Evaporation changes liquid water to water vapour.

for #1: for example, it's raining, when it rains, the rain is water (liquid).

Or it's snowing, the snow is solid.

for #2: for example, when you are making tea, you need hot water, so you add heat, then the water lessens because it's transforming to gas, and sometimes you can see it.

Answer:

1. solid and liquid

2. water vapor (gas)

Answer:

P(A) = 5/12

P(B) = 1/2

Step-by-step explanation:

A) Sum greater than 7

If the sum needs to be >7, then it can be 8, 9, 10, 11, and 12.

There are 26 out of 36 events where the sum is >7, thus P(A) = 15/36 = 5/12.

B) Sum is even

If we see in an overview of the sum distribution, there is a balanced division between odd and even numbers, thus the probability is very likely to be 1/2. Now let's make sure of it:

If the sum needs to be even, which means divisible by 2, then it can be 2, 4, 6, 8, 10, and 12.

There are 18 out of 36 events where the sum is even, thus P(B) = 18/36 = 1/2.

Image of table for reference: https://qph.fs.quoracdn.net/main-qimg-1283a98bd649f522986e2f91a592ffd3

Based on the number of unit cubes that are fastened together, the number of cubes which will have at least one face painted on is 488 cubes.

The cubes formed one large cube which means that each surface is one cube deep. So two cubes will be painted.

The number of unpainted cubes per surface is therefore:

= 10 - 2

= 8 cubes

Number of unpainted cubes is:

= 8 x 8 x 8

= 512 cubes

Number of cubes with one face painted:

= Total cubes - Number of unpainted cubes

= 1,000 - 512

= 488 cubes.

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Answer:

Step-by-step explanation:

The number of elements in a power set = the number of subsets of a set

Formula:

Let S be a sent ,the number of elements of  the power set of S =

[tex]2^{\text{card(S)} }[/tex]

Where card(S) = number of element of S itself.

=======================================

In this case :

Card(S) = 3

Then

the number of elements of  the power set of S =

[tex]2^{3}=8[/tex]

The arc length of the circle will be equal to 5.89 units.

The length of the curve on the circumference of the circle making an angle with the centre is called the length of the arc of the circle.

Given that:-

The length of the arc will be calculated as:-

Arc  =  Angle  x  radius

Arc  =  ( 3π / 4  )  x  2.5

Arc  =   5.89 units.

Therefore the arc length of the circle will be equal to 5.89 units.

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Answer:

A 36/100

Step-by-step explanation:

the probability is going to be this because the rates in honor roll and sports are higher than the other 27 that do both.

The correct roots of this equation is:

x = 10

y = 6

– This equation is a value substitution system. To solve it, we will: add the terms equal to x, with the sums of the equality.

2x + y = 26

x - y = 4

2x + x = 26 + 4

3x = 30

x = 30/3

x = 10

– Now, let's "take" the first equation of the system, and we'll calculate it, replacing x with its value.

2x + y = 26

2 . 10 + y = 26

20 + y = 26

y = 26 - 20

y = 6

Therefore, the roots of this equation or system is:

x = 10

y = 6

Answer:

[tex]y^{5}\times y^{3}=y^8[/tex]

Step-by-step explanation:

exponent property :

[tex]\left( a\right)^{n} \times \left( a\right)^{m} =\left( a\right)^{n+m}[/tex]

………………………………………

[tex]\Longrightarrow y^{5}\times y^{3}=y^{5+3}=y^8[/tex]

Answer:

No, it will not be a right triangle

Step-by-step explanation:

Since E (-4, 5) and F (-1, 1) are both in-plane one and G (3, 4) in-plane two

The x's are wrong for E and F which would be a cause for not a right triangle

And the y for G is not either 5 or 1 which would help make the triangle a right triangle.

So the triangle ends up being an scalene triangle and not a right triangle

Hopes this helps :)

Answer:

1/6

Step-by-step explanation:

Firstly the coin will have a probability of getting 1/2 for tails and also 1/2 for heads since it is fair.

A cube has 6 sides hence will have numbers 1-6 on each side. Numbers greater than 4 on a cube will be 5,6 and both of them have a 1/6 chance of getting drawn therefore in total it is a 2/6 chance.

Probability of getting tails is 1/2 and probability of getting number greater than 4 is 2/6.

Hence the total probability will be 1/2 x 2/6 = 1/6

Answer:  X = 3 and Y = 0           3,0

The model in which the lateral surface meets the base at right angle is : Model 1.

The lateral surface of an object is all surfaces  of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

[tex](50)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](48)^{2}[/tex]

2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm  lateral height = 35cm

[tex](37)^{2}[/tex] = [tex](35)^{2}[/tex]+ [tex](6)^{2}[/tex]

1369 = 1225 +36

1369 [tex]\neq[/tex] 1261

Model 3

Diagonal = 60cm, radius = 20cm  lateral height = 40cm

[tex](60)^{2}[/tex] = [tex](20)^{2}[/tex] + [tex](40)^{2}[/tex]

3600 = 400 + 1600

3600 [tex]\neq[/tex] 2000

Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

[tex](30)^{2}[/tex] = [tex](24)^{2}[/tex] + [tex](9)^{2}[/tex]

900 = 576 + 81

900 [tex]\neq[/tex] 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion,  the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

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Answer:

the answer is B have an amazing day

Step-by-step explanation:

Answer

2 1/8

Step-by-step explanation 10–7 7/8=(10 – 7) + ( 0–7/8)= 3 +0 × 8 – 7/8= 3 + 08– 78=  3 + 0 – 78=  3 + -7/8 = 2 1/8

Answer:

E

Step-by-step explanation:

1 2/3

Divide 5/3 and you get 1 2/3

Answer:

E) 1 2/3

Step-by-step explanation:

5 divided between 3 buckets in 5/3 which in a mixed number is 1 2/3

Answer:

41/100.

Step-by-step explanation:

Per cent (%)  means 'per hundred'.

as a fraction: 41/100.

As a decimal it is 0.41.