Find the midrange for the group of data items.
2, 2, 5, 5, 8, 8, 10

Answer: 14x(x−3)

Step-by-step explanation:

Answer:

13 is a prime number, not divisible by any number greater than 1 or less than 13. So the prime factorisation of 78 is: 78 = 2 ⋅ 3 ⋅ 13 This can also be represented by a factor tree:

Step-by-step explanation:

Answer:

78 = 2 ⋅ 3 ⋅ 13

Step-by-step explanation:

78  ends with an even digit, so is divisible by  2 and we find:  78 = 2 ⋅ 39

39  ends with an odd digit, so is not divisible by  2 .

The digits of  39  add up to a multiple of  3 , namely  3 + 9 = 12 . So we can tell that  39  is divisible by  3 : 39 = 3 ⋅ 13

13  is a prime number, not divisible by any number greater than  1  or less than  13 .

So the prime factorization of  

78  is:

78= 2 ⋅ 3 ⋅ 13

Answer:

i=prt /100

200×2×9÷100=3.6

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Answer:

2

Step-by-step explanation:

this will help i think this will be the answer i am not sure

The expression that is equivalent to 2.76 is two and nineteen twenty fifths

The number in the question is given as 2.76

This means that we have

Number = 2.76

We can rewrite this as a mixed number.

2 + a/b

Such that:

a/b = 0.76

From the list of options, we have

two and nineteen twenty fifths = 2 + 19/25 = 2.76

This means that the correct expression is two and nineteen twenty fifths

Hence, the expression that is equivalent to 2.76 is two and nineteen twenty fifths

Learn more about mixed numbers:

brainly.com/question/1746829

#SPJ1

Complete question

Which of the following is equivalent to 2.76?

2.76%

27.6%

two and nineteen twenty fifths

twenty five over nineteen

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

1.2 (the 2 continuing on)

Step-by-step explanation:

Just divide the numerator by the denominator and you'll get your answer

Answer:

a = \(\frac{d}{b+c}\)

Step-by-step explanation:

a(b + c) = d

isolate a by dividing both sides by b + c

a = \(\frac{d}{b+c}\)

Answer:

2985 yes votes.

Explanation:

Yes : No

5x : 8x

Total Ratio: 5x + 8x = 13x

Solve for x

13(x) = 7761

divide both sides by 13

x = 597

Yes-Votes: 5(x) = 5(597) = 2985

No-Votes: 8(x) = 8(597) = 4776

Answer:

Step-by-step explanation:

Maggie made the following quilt from 64 square pieces of fabric, what is the side length of each square piece

Answer:

The advantages & disadvantages of tables,graphs and words have been explained below.

Step-by-step explanation:

The 3 major representation for finding patterns and making predictions are;

1.Tables

2. Graphs

3. Words

This means we want to find the advantages and disadvantages of using tables, graphs and words for finding patterns and making predictions.

1) Tables: Advantage is that we will be able to directly see the exact effect of the input variable on the output. While the disadvantage is that it's very difficult to see patterns.

2) Graphs: Advantage is that we can easily see the pattern of the representation. However the disadvantage is that we can't see the exact values arising from the effect of the input variable on the output.

3) Words: The advantage is that we can describe the data values in clear terms. However, the disadvantage is that we can't get exact values from just the words.

The graph is attached in the solution.

Given are expression we need to find the value of the variable,

To solve these types of expressions we will equate the base, and will use the identity,

if, mᵃ = mᵇ so a = b.

Therefore,

2) \(64^{-k-2} = 16^{2k-2\)

64 = 4⁴, 16 = 4²

So,

\(4^{4(-k-2)} = 4^{2(2k-2)\)

4(-k-2) = 2(2k-2)

-4k-8 = 4k-4

8k = -4

k = -0.5

3) \(4^{3p} = 4^{2p\)

3p = 2p

Since 2 ≠ 3 so the equation is not true.

4) \(5^{3v+1} = 25\)

\(5^{3v+1} = 5^2\)

3v + 1 = 2

3v = 1

v = 1/3

5) \(64^{r+1} = 16^{-r-1\)

64 = 4⁴, 16 = 4²

So,

\(4^{4(r+1)} = 4^{2(-r-1)\)

4r+4 = -2r-2

6r = -6

r = -1

6) \(2^{2n-1} = 2^{-2n\)

2n-1 = -2n

4n = 1

n = 1/4

7) \(25^{-2v} = 625^{-3v-3\)

\(25^{-2v} = 25^{2(-3v-3)\)

-2v = 2(-3v-3)

-v = -3v-3

v = 3v + 3

-2v = 3

v = -0.5

8) 6⁻²ᵃ = 36

6⁻²ᵃ = 6²

-2a = 2

a = -1

9) \(3^{3p} = 243\)

\(3^{3p} = 3^5\)

3p = 5

p = 5/3

Learn more about exponents click;

https://brainly.com/question/5497425

#SPJ1

Answer:

None of those is right

But if you have to put something then try A and B

Step-by-step explanation:

Here's the right answer for each equation

A. 100

B. 1000

C. 1000

D. 10000

E. 100

So if the question was to select each equation that the number 100 makes true.

Then the answers would have been A and E

Hope this helps, have a beautiful day

The value of x is 14.

We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.

We have two sides measured 2x-9 and x+ 5.

From the figure the length of sides are equal then

2x-9 = x+ 5

2x- 9- x = 5

x-9 = 5

Add 9 to both sides of the equation:

x - 9 + 9 = 5 + 9

x= 14

Thus, the value of x is 14.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ1

Answer:

Step-by-step explanation:

The vertices of the already rotated triangle are:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Answer:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Step-by-step explanation:

The length of the side of the square in simplest form is 2sqrt(14).

The area of a square is given by the formula \(A = s^2\), where A is the area and s is the length of a side.

We are given that the area of the square is 56 units, so we can set up the equation:

\(56 = s^2\)

To solve for s, we can take the square root of both sides of the equation:

sqrt(56) = \(sqrt(s^2)\)

We can simplify the square root of 56 by factoring it:

sqrt(56) = sqrt(222*7) = 2sqrt(14)

So, we have:

2sqrt(14) = s

This is an improper fraction because the numerator is larger than the denominator. Therefore, the length of the side of the square in simplest form is 2sqrt(14).

For such more questions on side of a square

https://brainly.com/question/23761891

#SPJ11

The value of the sine of the angle is 9/13 in the supplied value. Choice A

This relationship is based on the reciprocal interaction between the sine (sin) and cosecant (cosec) functions. The cosecant of an angle is the reciprocal of the sine of that angle.

The cosecant of an angle is its reciprocal, which is the sine of that angle. Because of this, if the sine of an angle is zero, its cosecant cannot be divided by zero and is hence undefinable.

We know that;

cosec(θ) = 1/sin(θ)

Then

sin(θ) = 1/(13/9)

= 9/13

Learn more about sine and cosec:brainly.com/question/23803878

#SPJ1

Answer:

the answer is 32z

Step-by-step explanation:

The computer can occupy a maximum of 1200 bytes of memory.

To determine the maximum memory capacity of a computer that can execute 300 instructions, we need to consider the representation of integers and the storage requirements for instructions.

If each instruction is stored in the entire memory word, it implies that each instruction occupies one memory word. Therefore, the number of instructions executed (300) directly corresponds to the number of memory words required.

The memory capacity of a computer is typically measured in bytes. However, since we are assuming each instruction occupies one memory word, we can consider the memory capacity in terms of memory words.

Hence, the maximum memory capacity this computer can occupy would be 300 memory words.

To convert this capacity into bytes, we need to know the size of a memory word. If we assume the computer uses a 32-bit word size, which is common in many systems, each memory word would consist of 4 bytes (32 bits / 8 bits per byte). Therefore, the maximum memory capacity in bytes would be:

300 memory words * 4 bytes per word = 1200 bytes.

for more such questions on memory

https://brainly.com/question/31399102

#SPJ8

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

Learn more about the conditional relative frequency here:

brainly.com/question/8358304

#SPJ1

Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

Answer:

500

Step-by-step explanation:

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

For more such information on: expression

https://brainly.com/question/28602085

#SPJ8