Which expression is equivalent to 3/56x^7y^5 , if x ≠0 and y≠0

Answer:

part A: 72

part B=7

part C=7(5+9)

Step-by-step explanation:

A=the lowest common multiple found in both the 9 and 8 times table. 8s=8 16 24 32 40 48 56 64 72

9s=9 18 27 36 45 54 63 72

B=7 because 35=5×7 and if we break down 63,it

would be 9×7 or 3×3×7

C=7(5+9) because if we expand the brackets it would

be 7×5+7×9=35+63

Hope it helps?

Answer:

The LCM Of 8 and 9 is 72

Step-by-step explanation:

2 | 8,9

2 | 4,9

2 | 2,9

3 | 1,9

3 | 1,3

| 1,1

LCM = 2 x 2 x 2 x 3 x 3

LCM = 72

• Hope it helps. please mark me as Brainliest.

Answer: 106.7

Step-by-step explanation:

Volume of pyramid formula = (lxwxh)/3

(8x8x5)/3

= 106.7

Answer:30

Step-by-step explanation:

30+30+30+30 just do 120/4

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

x = 145

Step-by-step explanation:

We are given a polygon that has 7 sides. We can use the formula \(S=(n-2) * 180\) which allows us to write an algebraic expression to solve for x where n = number of sides.

\(S=(7-2) * 180\)

Evaluate

\(S=5*180\)

\(S=900\)

Now that we have our number, lets write an algebraic expression that will help us find the value of x.

\(x+116+129+120+130+135+125=900\)

Add like terms

\(x+755=900\)

Subtract 755 on both sides

\(x=145\)

We can check our work by adding all the angle measures together

\(145+116+129+120+130+135+125=900\)

Thus we know 145 is the correct answer.

Answer:

whats the question

Step-by-step explanation:

1. We can see that the number in the bottom box is: 13.5yd.

2. The number in the top box is: 7.5yd.

3. The area of the table = 78.75yd²

A trapezoid, also known as a trapezium in some countries, is a quadrilateral shape that has only one pair of parallel sides. The parallel sides of a trapezoid are called the bases of the trapezoid, and the non-parallel sides are called the legs.

We see here that in order to get the number in the bottom box, we discover that the number in the top box is a square which means that all the sides are equal to 7.5yd.

Thus, the number in the bottom box = 3 + 7.5 + 3 = 13.5yd.

Thus, the area of the table, a trapezoid = 1/2(a + b)h

Where a = 7.5yd

b = 13.5yd

height, h = 7.5yd.

Thus, A = 1/2(7.5 + 13.5) 7.5 = 157.5/2 = 78.75

∴ Area of the table, A = 78.75yd²

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Answer:

32.6°F.

Step-by-step explanation:

The initial temperature of the water was 33.2°F. After several minutes, the temperature of the water changed by -0.6°F. So, the new temperature of the water is

33.2 + (-0.6)  

=  

(30 + 3) + [0.2 + (-0.6)]

=  

33 + (-0.4)

=  

33 – 0.4

=  

32.6°F.

copied the answer from Edmentum

Answer:

1024

Step-by-step explanation:

n(10) =2^10

n(10) = 1024

Answer:

y = - 3

Step-by-step explanation:

the midline is a horizontal line positioned midway between the maximum and minimum values of the graph.

maximum = - 1 and minimum = - 5

then

(- 1 + (- 5)) ÷ 2 = (- 1 - 5) ÷ 2 = - 6 ÷ 2 = - 3 so equation of midline is

y = - 3

The simple interest that the restaurant owes to the bank after 7 months is $403.

The principal amount the restaurant borrows from the bank = $15,200.

The rate of interest per year the bank provides = 4.55%

The time period the restaurant borrowed the money from the bank = 7 months.

We have to calculate the simple Interest the bank received from the restaurant after 7 months of borrowing $15200.

Simple interest is the amount of interest charged on a given principal amount P at a given rate of interest R for a given period of time.

The formula used to calculate simple interest is:

SI = (PXRXT) / 100...........(1)

Where P = principal amount

R = rate of interest

T = time period in years.

We have,

P = $15,200

R = 4.55%

T = 7 months.

Time is in months and we need to convert it into years.

We know that,

12 month = 1 year

So,

7 months = 7 / 12 years

So we have,

T = 7 / 12 years.

Putting P = 15200, R = 4.55 and T = 7/12 in (1)

We get,

SI = [ 15200 x 4.55 x (7/12) ] / 100

SI = (15200 x 4.55 x 7) / (12 x 100)

SI = 484120 / 1200

SI = 403.43

Rounding to the nearest whole number.

SI = $403

Thus the simple interest that the restaurant owes to the bank after 7 months is $403.

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Since the calculated t-value is greater than the critical t-value, we reject the null hypothesis, concluding that there's convincing evidence that the new treatment results in a higher mean MSI value than standard care.

a. The 95% confidence interval for the proportion of teenagers using video streaming services daily is (0.5579, 0.6221). This means we're 95% confident that 55.79% to 62.21% of US teenagers use such services daily.

b. The results demonstrate that the proportion is not 0.5 because the full confidence interval is higher than 0.5.2. We obtain a t-value of roughly 2.51 with 108.52 degrees of freedom using a two-sample t-test.

At a significance level of 0.05, the critical t-value for a one-tailed test is approximately 1.66.

Since the calculated t-value is greater than the critical t-value, we reject the null hypothesis, concluding that there's convincing evidence that the new treatment results in a higher mean MSI value than standard care.

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The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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Answer:

12 cm

Step-by-step explanation:

diameter=2×radius=2×6=12 cm

Answer:

6+6=12cm

Step-by-step explanation:

diameter=2r

diameter=2*6

diameter =12cm

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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Answer: 61

Step-by-step explanation: 1+12*5

Simplify the sum 43+(96/8)*5-42

1

Add 43 and -42

12*5

Reduce 96/8 by factoring out and cancelling common factors

8*12/8.1

Factor out 8 from the top and bottom of the fraction

8*12=96

8*1=8

96/8=12

multiply 12 and 5. 12*5= 60

add 60 and 1

so the answer is 61

The value of sin A is, 7/25.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The terminal side of angle A goes through the point (−24/25,7/25) on the unit circle.

Now, By definition we get;

⇒ cos A = - 24/25

⇒ Sin A = 7/25

Thus, The value of sin A is, 7/25.

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To answer this question we will use the following formula to compute the perimeter of a rectangle:

Therefore the perimeter of the workbench is:

Simplfying the above result we get:

Therefore we will need 16ft of metal stripping.

Answer: 16ft.

Answer:

Reflected OVER Y makes A

A (-7,3) -> (7,3)

Translated makes

A (7,3) -> (7-5, 3-5) = (2,-2)

B)

Step-by-step explanation:

6 + 12^2

12 squared would be 12 to the second power

since the directions say "the sum"

you would use addition to add 6 and 12^2

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer: AD=DC

Step-by-step explanation:

Answer:

Blue: 1/5

Orange: 3

Step-by-step explanation:

For the blue one:

The top side for the orginal is 5 and for the copy it is 1. This results in 5 / 1

For the orange one:

A's longest side is 6and it's shortest side is 18 resulting in 3/1 = 3

(I think this is right, have a nice day!)

The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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Answer:

x=20°

Step-by-step explanation:

This is actually simpler than it seems. Try redrawing (or maybe just imagine) that the only inscribed angle is x with the two lines going to the 40°. If we let 40°=θ, then: x=θ/2

This is actually true for any situation with inscribed angles, so you could use this to find w, y, and z as well.

Anyways x=(40°)/2=20°, so x=20°

Both functions are increasing, but function g increases at a faster average rate.

The correct option is (C)

If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.

let f(x) = \(ab^{x} +c\) and x=0 , f(0)= -10

-10=a+c

Now,

f(x) = -33/5*\((\frac{1}{11} )^{x}\) - 17/5

f '(x)>0

So, x is increasing function.

g(x) = -18/3*\((\frac{1}{11} )^{x}\) +2

g'(x) =-18\((\frac{1}{3} )^{x}\)ln(1/3)

ln 1/3<0

So, g'(x)>0

So, g(x) is an increasing function.

For any x ∈ f(x) and x ∈ g(x)

Since, g increases at a faster rate.

Hence, Both functions are increasing, but function g increases at a faster.

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The number of M&M's that were in the bowl before Amelia arrived is; 12

Let the original amount in the bowl be x. Thus;

If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x

Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x

Now, we are told that there were finally 3 left after all the deductions. Thus;

0.25x = 3

x = 3/0.25

x = 12

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Answer:

x <-14

Step-by-step explanation:

Answer:

x is less than -14

Step-by-step explanation:

3- 1/2x is grater than 10

6-x is greater than 20

-x is grater than 20-6

-x is grater than 14

x is less than -14

answer x is less than -14

aa(my laptop doesnt have greater and less than signs so i had to spell it out)