first three common factors of 3 and 9?

Answer:

81/256

Step-by-step explanation:

3/4*3/4*3/4*3/4

first multiply the numerators (3) together, which equals 81

then multiply the denominators (4) together, which equals 256

81/256 can't be simplified further

Answer:

[tex]\frac{3^4}{4^4} =\frac{81}{256}[/tex]

Reasoning:

According to exponent law:

[tex](\frac{a}{b} )^{x} =(\frac{a^x}{b^x} )[/tex]

Now apply this to your problem.

[tex](\frac{3}{4} )^{4}[/tex]

[tex](\frac{3^4}{4^4} )[/tex]

[tex](\frac{81}{256} )[/tex]

Answer:

see explanation

Step-by-step explanation:

(10)

Since the triangles are congruent then corresponding sides are congruent, so

EF = BC , that is

4x - 1 = 19 ( add 1 to both sides )

4x = 20 ( divide both sides by 4 )\

x = 5

and

DE = AB , that is

y - 6 = 8 ( add 6 to both sides )

y = 14

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

(11)

Since the triangles are congruent the corresponding angles are congruent, so

∠ K = ∠ Y , that is

3x - 37 = 41 ( add 37 to both sides )

3x = 78 ( divide both sides by 3 )

x = 26 , then

∠ K = 3x - 37 = 3(26) - 37 = 78 - 37 = 41°

The sum of the 3 angles in Δ ZMK = 180° then

∠ Z = 180° - (41 + 112)° = 180° - 153° = 27°

So

∠ A = ∠ Z

2y + 7 = 27 ( subtract 7 from both sides )

2y = 20 ( divide both sides by 2 )

y = 10

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

(12)

Since the triangles are congruent the corresponding sides and angles are congruent

DG = BS

4x - 11 = 25 ( add 11 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

∠ T = 180° - (56 + 21)° = 180° - 77° = 103°

Then

∠ H = ∠ T

7y + 5 = 103 ( subtract 5 from both sides )

7y = 98 ( divide both sides by 7 )

y = 14

The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

Given that, Michael is making cookies. Each batch uses 3 cups of flour.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of batches of cookies be x.

Now, the inequality to represent the given situation is

3x+5<41

Subtract 5 on both sides of inequality, we get

3x<36

Divide 3 on both sides of inequality, we get

x<12

The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

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Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The proportions and their respective standard errors are given by:

[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]

[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]

For the distribution of the difference, the mean and the standard error are given by:

[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]

The test statistic is:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]

[tex]z = 1.9[/tex]

The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]

Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

A similar problem is given at https://brainly.com/question/25728144

Answer:

12

Step-by-step explanation:

there is no x in the question

Answer:

The answer is 73.0 or just 73

Answer:

$11.25

Step-by-step explanation:

1.25 × 9 = 11.25

Answer:

$11.25

Step-by-step explanation:

Answer:

-37

Step-by-step explanation:

Answer:

a)x²

5²=25

b] (x+3)²

(5+3)²

(8)²=64

Answer:

p equals two and four tenths

Step-by-step explanation:

First let's write our equation

five p plus three equals fifteen

five p equals twelve

divide both sides by 5

p equals two and four tenths

_______________________________

Word Problem

You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?

Answer:

30 5/6

Step-by-step explanation:

185 = 30x6 + 5

Answer:

30 5/6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

:)

Answer:the answer is 84m2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: 9:6:15

Step-by-step explanation:

The ratio is Bill : Harvey : Ruth

We are told that bill and ruth both eat 24 sprouts together. The ratio for bill and Ruth would be 3:5

Add the ratios together to get 8

Then divide the amount (24) by 8

This gives you 3. Then times all he numbers in the ratio by 3 to get the answer ; 9 : 6 : 15

Answer:

1.12+8.13-3.5=5.75

2.6×300=780

Answer:

1) 5.75

2) 780

Step-by-step explanation:

1.12+8.13=9.25

9.25-3.5=5.75

Multiple 26x300, then move two decimal places to the right

Answer:

77° is the answer

Step-by-step explanation:

hope it helps;)

The measure of angle [T] will be ∠T = 139°.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.

In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Given is a triangle TSU.

The sum of the angles of a triangle is 180 degrees. So, we can write -

(21x + 13) + 4x + (3x - 1) = 180

21x + 4x + 3x + 13 - 1 = 180

28x + 12 = 180

28x = 168

x = 168/28

x = 6

So -

∠T = 21x + 13 = 21 x 6 + 13 = 126 + 13 = 139

∠T = 139°

Therefore, the measure of angle [T] will be ∠T = 139°.

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Answer:

Well according to the graph it took Elena 6 weeks to pay her brother back

Step-by-step explanation:

Well the slope is -3, techincially she’s giving back 3 dollars every week, it starts from 18 dollars borrowed.

3 dollars every week until 18 dollars is 6 weeks. Plus the graph shows that the line reaches 0 when it crosses the “6” in weeks

Step-by-step explanation:

the triangle is an Isosceles triangle

let the another two angles be 2x

and apply angle sum property of triangle here

2x + 72° = 180

2x = 180 - 72

2x = 108

x = 108/2 = 54

therefore,

angle 2 = 54°

a/q

angle 2 = -9 + 7x

now,

54° = -9 + 7x

or

-9 + 7x = 54°

7x = 54 + 9 = 63°

x = 63/7 = 9

x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

Answer:

B) 3x +2y >= 6

Step-by-step explanation:

Answer:

u need to use the quadratic formula

Step-by-step explanation:

I think this is about it

Answer:

8/h

Step-by-step explanation:

Quotient means division, so basically you are dividing 8 by h.

Answer:

8/H

Step-by-step explanation:

8/H - Just divide 8 by H

Answer:

Look at photo

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Her error is in squaring (2y)²

She has (2y)² = 2y²

when it should be 2y × 2y = 4y²

Then

(2y)² = 6² + 8²

4y² = 36 + 64

4y² = 100 ( divide both sides by 4 )

y² = 25 ( take square root of both sides )

y = [tex]\sqrt{25}[/tex] = 5

Answer:

13/55

Step-by-step explanation:

(3/5) + -(4/11) = (3/5) - (4/11) = (33/55) - (20/55) = (13/55)

Tell me if I'm wrong :)

[tex]\dfrac 35 + \left( -\dfrac 4{11} \right) \\\\\\=\dfrac35 - \dfrac{4}{11} \\\\\\=\dfrac{13}{55} \approx 0.24[/tex]

[tex]y = 9x + \dfrac 94 \\\\\text{The above equation is in a form of y=mx + b, where b is the y - intercept}\\\\\\\text{Hence the y-intercept is }~ \dfrac 94[/tex]