PLSSSS What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?

Answer:it’s c promise the others wouldn’t make sense

Step-by-step explanation:

Answer:

The mistake was made in the second step when going from 3x - 2(3x-4) = 13 to 3x - 6x - 8 = 13.

The mistake was in the multiplication of -2(3x-4). The error is that the negative sign was not distributed to both the 3x and the -4.

-2 times 3x is -6x  and  -2 times -4 is positive 8

Step-by-step explanation:

y = 3x - 4

3x - 2y = 13

------------------------

3x - 2(3x - 4) = 13

3x - 6x + 8 = 13

-3x + 8 = 13

-3x = 5

x = -5/3

y = 3(-5/3) - 4

y = -5 - 4

y = -9

Solution: x = -5/3 and y = -9

The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

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Answer:

a= 2/5

b= -3/5

Step-by-step explanation:

We need to multiply the numerator and denominator by -i (conjugate) to cancel out i in the denominator

\(\frac{(3+2i)(-i)}{5i(-i)}\)

This simplifies to:

\(\frac{-3i+-2i^{2} }{-5i^{2} }\)

This further simplifies to:

\(\frac{-3i +2}{5}\)

Can be rewritten as:

\(\frac{2}{5} +-\frac{3}{5} i\)

a = 2/5

b = -3/5

Answer:

129

Step-by-step explanation:

44+7=51

4^3=64

14+51+64=129

Answer:

a=4.40

Step-by-step explanation:

To find value of a use pythagoras theorem:

c^2=b^2+a^2

Rearrange the equation:

a^2=c^2-b^2

Substitute the values:

a^2=(4.58)^2-(1.26)^2

After calculation:

a=4.40

Answer:

$729.93

Step-by-step explanation:

686.99 x .0625 = 42.94

42.94 is the tax which must be added to the tv list price to get the total:

686.99 + 42.94 = 729.93

Answer:

u^2+6u+5

Step-by-step explanation:

Please check the attachment hope it helps :)

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

Answer:

The p-value falls between 0.005 and 0.01.

Step-by-step explanation:

Random sample of 30 observations, you obtain t = 2.35

This means that the pvalue is 1 subtracted by the pvalue of Z = 2.35, as we are testing that the mean is more than a value.

Looking at the z-table, z = 2.35 has a pvalue of 0.9906

1 - 0.9906 = 0.0094

So, between 0.005 and 0.01.

Answer: The p-value falls between 0.01 and 0.02.

Step-by-step explanation: I took the FLVS test.

Answer:

14 sets

Step-by-step explanation:

Let the number of big screen TV sets be---------x

Portable TV screen sets will be-------x + 40

Console TV sets will be---------- x + 15

The total cost of storage per month is : $302

The equation for total cost is;

7.50 x + 4{ x+15} + 1.50 { x+40 } = 302

7.50x + 4x + 60 + 1.50 x + 60 =302

13x = 302- 120

13x = 182

x = 14

Answer:

p = 121

Step-by-step explanation:

inveresly proportional

pq² = k

find k the constant of proportionality

p is 16 when q is 11,

16 * 11² = k

k = 1,936

----------------------------

pq² = 1,936

determine p when q is equal to 4.

p * 4² = 1,936

16p = 1,936

p = 1,936/16

p = 121

Answer:

p= 121

Step-by-step explanation:

p\(\alpha\) \(\frac{1}{q^{2} }\)

p=k/\(q^{2}\)

k=p\(q^{2}\)

Get the value of your constant k

k=(16)(\(11^{2}\))

k= 1936

p= \(\frac{1936}{q^{2} }\)

When q=4

p=  \(\frac{1936}{4^{2} }\)

p= 121

Answer: (9y^4*x^6)^2

Step-by-step explanation: First you take the square root of 81, which is 9. Next, you divide 8 and 12 by 2. Lastly, you multiply everything together, and you get a final answer of (9y^4*x^6)^2. Do you do RSM?

The given image is a parallelogram, because the two lines are Parallel to each other implying that they will never cross each other

Based on the question above,  the coordinates of the figure are:

O = (0,0)

P = (a, b)

S = (a + c, b)

T = (c,0)

Note that the vertices O and T and they can be seen on the same horizontal level, due to the fact that they have the same y-coordinate and can be used also for vertices P and S

The length of the sides by distance formula will be:

PS = c

OT = c

So this implies that the opposite sides are parallel and congruent. Therefore, the image is a parallelogram

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The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Answer:

90.36

Step-by-step explanation:

0.6²+4.5(y÷ 0.6)

0.36 + 4.5(12÷0.6)

0.36 + 4.5×20

0.36+ 90

90.36

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Using correlation coefficients, it is found that the two conclusions that the researcher can make from this data are:

In this problem, the correlation is of 0.486, hence, the conclusions are:

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The null hypothesis is it takes a customer less than or equal to 25 minutes to eat lunch.

The alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.

What is null and alternate hypothesis?

The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. The alternative hypothesis is one of the suggested hypotheses in statistical hypothesis testing.

We are given a statement,

The manager of a restaurant believes that it takes a customer less than or equal to 25 minutes to eat lunch.

According to null hypothesis, There is no difference or change

Hence the null hypothesis is, it takes a customer less than or equal to 25 minutes to eat lunch.

Where as in alternate hypothesis, There should be a difference of change

Hence the alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.

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Answer:

C) 2parts that are one eight each.

Step-by-step explanation:

The reason I chose C) as the correct answer is becasue I evaluated it with the steps below.

A) - 8 parts that are one fourth each.

  This cannot be correct because it would surpase the 2/8ths (would be over).

B) - 4 parts that are one-half each.

  This cannot be correct because it would surpass the 2/8ths (would be over).

C) - 2parts that are one eight each.

  This can be correct because 2 parts have 1/8th. 1/8 + 1/8 = 2/8.

D) - 2parts that are one fourth each.

  This cannot be correct because the denominator is not 8, it is 4 meaning it wouldn't fit into the format the question asked for (which was 2/8).

This makes the correct answer C).

  I hope this helps you understand and helps you in your question.

Answer:

$400

Step-by-step explanation:

your money-$300= 25% of ur money

$300= 75% of ur money

1% of ur money - $4

4×100 = 400

hope this helped

Answer:

its b

Step-by-step explanation:

7x2vault3 6 squere-79=4.2

Answer:

4.5

Step-by-step explanation:

It can be tricky to type this in a calculator, but the correct way to type this would be as follows: 10.5 / (2 1/3). This will then equal 4.5 :)

The result is: 10.5 divided by 2 1/3 is approximately 4.52.

To divide 10.5 by 2 1/3, we need to convert 2 1/3 into a decimal or mixed number.

we have to first convert 2 1/3 to a mixed number:

2 1/3 = 2 + 1/3 = 2.3333... (approximately, repeating)

Now, we have the division as:

10.5 ÷ 2.3333...

To divide a decimal number by another decimal number, we can follow these steps:

Then, remove the decimal point from the divisor (2.3333...) by multiplying both the dividend and divisor by 10, 100, 1000, or any power of 10, until the divisor becomes a whole number.

We have to, place the decimal point back in the quotient in the same position as the original dividend.

now, we have to choose 10 as the factor to multiply both the dividend and the divisor:

10.5 × 10 = 105 (Move the decimal point one place to the right)

2.3333... × 10 = 23.333... (Move the decimal point one place to the right)

Now, we have:

105 ÷ 23.333...

so, we get,

______

23)105.00000...

92

______

130

115

______

150 (23 × 6 = 138)

138

______

12

The result is 4.521739... (repeating).

Therefore, 10.5 divided by 2 1/3 is approximately 4.52.

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radius = r =12cm

height = h =8 cm

π = 3.14

Volume of a cylinder = πr²h

Answer:

Step-by-step explanation:

Since O is the center of the circle, from that point to any point that lies on the outside of the circle will have the same measure. That's worded weird. From point O to A, which is a radius, the length of that radius is 12. That means that the length from point O to any point on the outside of the circle will also measure 12. So from O to B is also 12. For y, we have a rule for when 2 lines tangent to a circle meet at a single point outside the circle. The 2 tangent lines are equal in length. So that means that if AC is 19.6, the CB is also 19.6. Your answer choice is 4.