Lcm and hcf of:
a4+4b4 +(a2+b2)5b2
and a4+2a3b+a2b2-9b2

The volume of a rectangular prism is the product of length, width, and height. The length, width, and height are equal for a cube prism.

What is a rectangular prism?

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom, and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is also referred to as a cuboid because of its shape.

The number of face of rectangular prism is 6.

The product of all dimensions of a prism is the volume of the rectangular prism.

Volume= length × width × height

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Answer:

Step-by-step explanation:

1. 2x+10-8x = -38

  -6x + 10 = -38

  -6x = - 48

   x = 8

2. 2(x+5)=-2

   2x + 10 = -2

   2x = -12

    x= -6

3. -10 = -5(x+9)

   -10 = -5x - 45

   35 = -5x

    x = -7

4. 6 - 7x - 19 = -83

  -13 - 7x = -83

   -7x = -70

    x = 10

5. 3(3x-4) = 24

   9x - 12 = 24

   9x = 36

   x = 4

Answer:

I'm guessing 30

Step-by-step explanation:

Not completely sure

Answer:

30C                so yea the other guy was right

Step-by-step explanation:

rewriting question for myself:

Describe how to use the formula C = \(\frac{5}{9}\)(F - 32) to find the temperature is 86°F. What is the temperature in degrees Celsius?

Answer:

a^n(a+1)

This is just to reach the minimum character limit.

The minimum sample size needed to guarantee a given margin of error increases , the correct option is (b) .

What is Margin Of Error ?

The term margin of error is defined as an estimate of a small sample that is drawn from a relatively large population data.

the margin of error is usually governed by the parameters such as the standard deviation , sample size and desired confidence level.

to find missing term in the given statement , let us consider the values ,

where σ ⇒ Standard deviation for population

and m as "Margin of error"  and Z as "Empirical value of Z-score" at a given confidence level .

So , minimum sample size for given confidence level is given by

⇒ (Z×σ)²/m²

from above formula we can conclude that minimum sample size is directly related to population's standard deviation.

Therefore, the minimum sample size required would "increase" with the increase in population "standard deviation" .

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Answer:

8

Step-by-step explanation:

Let's call the unknown side \(c\).

The Pythagorean Theorem states that in any right triangle, \(a^{2} + b^2 = c^2\)

Now plug in the known values.

\(6^2 + (2\sqrt 7)^2 = c^2\\36 + 4(7) = c^2\\36 + 28 = c^2\\64 = c^2\\c = \sqrt{64} = 8\)

Answer:

6.4 miles per hour

Step-by-step explanation:

Answer:

1.6m/h

Step-by-step explanation:

6.4/4=1.6m/h

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Answer:

B.) \(6^{\frac{1}{2}}\)

Step-by-step explanation:

Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\).  For this problem, let

a=6

m=2

So,

\(\sqrt6=6^{\frac{1}{2}}\)

Let's calculate the total cost of all the items purchased by the computer club:

Cost of 14 portfolios = 14 * $24.59

Cost of 14 binders = 14 * $12.92

Cost of 14 school sweatshirts = 14 * $14.00

Cost of 14 music cases = 14 * $1.25

Cost of 14 phone cases = 14 * $1.99

Cost of 14 mouse pads = 14 * $2.14

Total cost of all items = Cost of 14 portfolios + Cost of 14 binders + Cost of 14 school sweatshirts + Cost of 14 music cases + Cost of 14 phone cases + Cost of 14 mouse pads

Plugging in the given values:

Total cost of all items = (14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14)

Now, the computer club will pay for 40% of the total cost. To calculate this, we can multiply the total cost by 40% (or 0.40):

Club's payment = 0.40 * Total cost of all items

The remaining cost will be divided equally among the 14 members:

Remaining cost per member = (Total cost of all items - Club's payment) / 14

Plugging in the values and calculating:

Club's payment = 0.40 * ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14))

Remaining cost per member = ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14) - Club's payment) / 14

So, each member of the computer club will owe the calculated value for "Remaining cost per member".

Hope this is good

Answer:

y = 40x + 20

Step-by-step explanation:

Answer:

y = 40x + 20

Step-by-step explanation:

Slope Intercept Form :-

> y = mx + c

Here y Intercept is 20 as it passes through (0,20) . And the slope will be ,

> m = 40 .

Therefore Equation :-

> y = 40x + 20

Answer:

1.20 ÷ 4 = 0.30 per unit

Please mark as brainliest;)

Answer:

$33012

Step-by-step explanation:

Total Monthly Budget= $ 2751

Total Yearly Budget=2751×12=$33012

Answer:

False

Step-by-step explanation:

because trigonometric identities are true for ALL angles, whereas trigonometric equations are NOT true for ALL angles.

The statement "all trigonometric equations are identities" is false.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Trigonometric equations can be identities or conditional equations. An identity is an equation that is true for all values of the variable(s) involved. Examples of trigonometric identities are sin²θ + cos²θ = 1 and tanθ = sinθ/cosθ.

On the other hand, conditional equations are true only for certain values of the variable(s) involved. For example, sinθ = 0 has solutions only at θ = nπ, where n is an integer.

Therefore, not all trigonometric equations are identities. Some are conditional equations that are true only for specific values of the variables involved.

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Answer:

They could sell 32 large lemonades before they run out

Step-by-step explanation:

4 gallons is equivalent to 512 oz

When you divide 512 oz buy 16oz you get 32

Hope this helps!

Answer:

b= 2 if you need a perfect square

Step-by-step explanation:

If we need to "Find the value of b? " so that the quadratic equation can be written as a perfect square

y= -x²+bx - 1, factor the -1

y= - (x² -bx +1), we know (a+b)² = a²+2ab+b² = x²-bx+1 , so b must be 2

y= - (x² -2x +1), rewritten as a perfect square

y= - (x -1)²

Answer:

option D is the correct option

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Only statements (a) and (e) must be true.

Let's start by tracking the number of candies each person has after each round:

* Round 1: Lizzy has $x$ candies, Megan has $x$ candies, Oscar has $x$ candies, and Patrick has $0$ candies.

* Round 2: Lizzy has $0$ candies, Megan has $2x$ candies, Oscar has $x$ candies, and Patrick has $0$ candies.

* Round 3: Lizzy has $0$ candies, Megan has $0$ candies, Oscar has $3x$ candies, and Patrick has $x$ candies.

As you can see, the number of candies Patrick has is always a multiple of 2. This is because in each round, the total number of candies is multiplied by 2. Therefore, statement (a) must be true.

Now, let's consider statement (e). If $x$ is even, then the number of candies Patrick has in the end will be divisible by 4. However, if $x$ is odd, then the number of candies Patrick has in the end will be 1 more than a multiple of 4, and therefore not divisible by 4. Therefore, statement (e) must be true.

The remaining statements (b), (c), and (d) are not necessarily true. For example, if $x$ is a multiple of 3, then statement (c) will be true, but if $x$ is not a multiple of 3, then statement (c) will not be true. Similarly, statements (b) and (d) are also not necessarily true.

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Answer:

y=-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-(-3))/(3-(-4))

m=(-3+3)/(3+4)

m=0/7

m=0

y-y1=m(x-x1)

y-(-3)=0(x-(-4))

y+3=0(x+4)

y+3=0

y=0-3

y=-3

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Answer:

The fraction is 3/10 = .3

Answer:

∠PQC = 26.25°

Step-by-step explanation:

Finding ∠PQC

Answer:

This calculator is helpful for deciding how many tablets/capsules to dispense and/or how many days the dispensed quantity will last. It will calculate quantity of tablets/capsules needed

Step-by-step explanation:

The only possible values of ij are 2 and 6.

Let \($n=2^i3^j$\) be a positive integer of the given form, and let \($\sigma(n)$\)denote the sum of the positive divisors of n. The sum of the divisors of n can be expressed as \($(1 + 2 + \cdots + 2^i)(1 + 3 + \cdots + 3^j)$\), which simplifies to \($\frac{2^{i+1}-1}{2-1} \cdot \frac{3^{j+1}-1}{3-1} = 2^{i+1} \cdot \frac{3^{j+1}-1}{2\cdot 3 - 2}$.\)

Since \($\sigma(n) = 600$\), we have \($2^{i+1} \cdot \frac{3^{j+1}-1}{2\cdot 3 - 2} = 600$\), which simplifies to \($2^{i+1} \cdot 5 \cdot (3^{j}+1) = 600$\). Since \(2^{i+1}$ and $5$\) are both powers of primes, it follows that \($3^j + 1$\) is a divisor of 120. Checking the divisors of 120, we find that\($3^j + 1$\) can only be equal to \(2, 4, 6, 10,$ or $16$.\)

If \($3^j + 1 = 2$\), then \($j = 0$\), but n cannot be written in the given form. If \($3^j + 1 = 4$\), then \($j = 1$\), and i can be any integer greater than or equal to 2; thus, \($ij = 2$\). If \($3^j + 1 = 6$\), then \($j = 1$\), but n cannot be written in the given form. If \($3^j + 1 = 10$\), then \($j = 2$\), but n cannot be written in the given form. Finally, if \($3^j + 1 = 16$\), then j = 2 and i = 3, giving \($ij = 6$\).

Therefore, the only possible values of ij are 2 and 6.

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Answer:

\(3 \div 2 \times 7 \div 2 \times 4 \div 1\)

\(21 \div 4 \times 4 \div 1\)

So the correct ans. Is 21

i know its 21

i took quiz

Answer:

x - 6 < 2x + 2

-8 < x, so x > -8

x = -1 and x = -5 are solutions to this inequality.

Answer:

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3.

Step-by-step explanation:

hope this helps,

Answer: 12

Step-by-step explanation:

we divide 156 by 13, however, we can stop as soon as we reach the tenths column as we only care about full glasses.

if done correctly, you get 13

Answer:

972

Step-by-step explanation:

9x8 = 72

9x 100 = 900

(you can use a calculator)

Answer:

Step-by-step explanation:

G is the centeroid of the triangle. G splits AE in the ratio 2 : 1

AG : GE = 2 : 1

AG = 2x  and GE = x

2x = 20

x = 20/2

x = 10

GE = 10 ; AG = 20

AE = 20+10 = 30

CG : GD = 2:1

CG = 2x  and GD = x

2x = 10

x = 10/2

x = 5

GD = 5

BF = 30

BG : GF = 2 : 1

BG = 2x  ; GF = x

BF = 30

BG + GF = 30

2x + x = 30

3x = 30

x = 30/3

x = 10

GF = 10