Construct 5 equivalent equations for the equation - 3x + 1 = 2.

Answer:

The square root of 36/196 is 3/7.

The square root of 36/169 is 6/13.

Answer:1/4

Step-by-step explanation:

It’s just adding 1 on the x axis and adding 4 on the y axis then x/y

Answer:

21/8

Step-by-step explanation:

KCF or keep change flip. keep 7/8. turn divide into multiply, then flip 1/3 to 3/1. 21/8 is what you get. Hope this helped!

Answer:

21/8

Step-by-step explanation:

Dividing by a fraction is like multiplying with the inverse:

So (7/8) / (1/3)

is the same as

(7/8) * (3/1) = (7/8) * 3 = 21/8

21/8 cannot be simplified, unless you find 2  5/8 simpler

The simplified expression is 12x^6y^4.

To simplify the expression (3x^4y^3)(4x^2y), we need to multiply the coefficients and combine the variables with the same base by adding their exponents.

Multiplying the coefficients:

3 * 4 = 12

For the x variable, we add the exponents:

4 + 2 = 6

For the y variable, we add the exponents:

3 + 1 = 4

Therefore, the simplified expression is:

12x^6y^4

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Answer:

$3.40

Step-by-step explanation:

\(27.97 - 4.17\)

\(23.8\)

and

\(23.8 \div 7\)

\(3.40\)

to check your answer you will need to times 3.40 with 7

\(3.40 \times 7\)

\(23.8\)

Answer:

I think the two answers would be A & D.

Explanation:

Sorry if I'm wrong.

Answer:

The answer is D

Answer:

x = 46

Step-by-step explanation:

These 2 angles would add up to 180 degrees.

So 41 + (3x+1) = 180

Let's solve for x.

41 + 3x + 1 = 180

Combine like terms.

42 + 3x = 180

subtract 42 from both sides

3x = 180-42

3x = 138

divide both sides by 3

x = 46

Answer:

good luck broooooooooooo

Answer:

-1

Step-by-step explanation:

→ -4 + (6/2)

→ -4 +3 = -1

So, the answer is -1.

Yes, the postulate would be SAS.

Step-by-step explanation:

The given side and angle congruences give you two sides and the angle in between each of those sides.

The triangles are congruent by SAS congruence criteria.

Two triangles are congruent when they have congruent corresponding parts.

Given that, are two triangle, having three corresponding parts congruent,

RS ≅ XY

ST ≅ YZ

∠S ≅ ∠Y

So, we can say that the triangles are congruent by SAS rule,

SAS rule :-

If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

Hence, the triangles are congruent by SAS congruence criteria.

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LSL broth is referred to as Lauryl tryptose broth (LTB) and is used as a selective growth medium (broth) for coliforms.

This is a gram negative bacteria which possesses β-galactosidase to produce acids and gases under optimal growth temperature.

Durham tubes is used with it by determining if the water is safe if 10% or more gas is present in at least on durham tube after 24 hours.

They are then used to detect gas production from lactose fermentation in this scenario.

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Answer:

favricis 1/3 yard bt 3 5/8 yards wich it will be 64

Answer:

Obey them xD make them happy make them feel that you love them Nd I also exist

Such cruel parents and a Neighbor

TC of ur self nd ur family

be happy what if they don't love u . Love yourself be bussy . And when u feel "JUST IGNORE (*´∨`*)"

TC again GN SD

the range in this set of data is 25 inches. To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.

The range in a set of data is the difference between the maximum and minimum values in the set.

To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.

Let's say that the highest amount recorded was 30 inches and the lowest amount recorded was 5 inches. Then the range would be:

range = highest amount - lowest amount

range = 30 - 5

range = 25

Therefore, the range in this set of data is 25 inches.

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Answer:

4. d = 4

5. d = 8.8

6. d = 6

7. d = 10

8. d = 3

9. d = 1

Step-by-step explanation:

4. (-5, 2), (-5, 6)

    (x₁, y₁)  (x₂, y₂)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-5 - (-5))² + (6 - 2)²

d = √(-5 + 5)² + (4)²

d = √(4)²

d = √16

d = 4

5. (4.5, -3.3), (4.5, 5.5)

       (x₁, y₁)      (x₂, y₂)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(4.5 - 4.5)² + (5.5 - (-3.3)²

d = √(0)² + (5.5 + 3.3)²

d = √(8.8)²

d = √77.44

d = 8.8

6. ((5(1/2), (-7(1/2)) and ((5(1/2), (-1(1/2))

         (x₁,     y₁)                   (x₂,     y₂)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(11/2) - (11/2)² + (-3/2) - (-15/2))²

d = √(d)² + ((-3/2) + (15/2)²

d = √(6)²

d = √36

d = 6

7. (-2(1/4)), -8) and (7(3/4), -8)

        (x₁,   y₁)               (x₂, y₂)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(31/4) - (-9/4))² + (-8 - (-8))²

d = √(31/4) + (9/4))² + (-8 + 8)²

d = √(10)²

d = √100

d = 10

8. (5(1/4)), (-3(1/4) and ((5(1/4), (-6(1/4))

         (x₁,     y₁)                    (x₂, y₂)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(21/4) - (21/4))² + (-25/4) - (-13/4))²

d = √(-25/4) + (13/4))²

d = √(-3)²

d = √9

d = 3

9. (-1(1/2)), (-6(1/2) and ((-2(1/2), (-6(1/2))

          (x₁, y₁)                        (x₂, y₂)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-5/2) - (-3/2))² + (-13/2) - (-13/2))²

d = √(-5/2) + (3/2))²

d = √(-1)²

d = √1

d = 1

I hope this helps!

Answer:

no, because the number is not repeating

Step-by-step explanation:

Problem

Coach Carter's budget to buy new uniforms is between $400 and $600. If a

new set of uniforms cost $40 each, how many new sets can he afford to buy?

Solution

Variable Represents:

x= represent the number of sets that he can afford to buy

Inequality:

400 < 40x< 600

Solve:

400/40< x < 600/60

10 < x < 15

Sentence:

For this case we can conclude that the number of sets that he can afford to buy are between 10 and 15

To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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option a-0.2816. To find the probability that Judy will answer exactly 3 questions correctly, we can use the binomial probability formula. In this case, the number of trials is 10 (since there are 10 questions), the probability of success is 1/4 (since there is only one correct answer out of 4 possible choices), and we want to find the probability of getting exactly 3 successes.

The binomial probability formula is:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where:
- P(X=k) is the probability of getting exactly k successes
- (n choose k) represents the number of ways to choose k items out of n items
- p is the probability of success on a single trial
- k is the number of successes
- n is the number of trials

Using this formula, we can calculate the probability as follows:

P(X=3) = (10 choose 3) * (1/4)^3 * (3/4)^(10-3)

(10 choose 3) = 10! / (3! * (10-3)!)
= 10! / (3! * 7!)
= (10 * 9 * 8) / (3 * 2 * 1)
= 120

Now we can substitute the values into the formula:

P(X=3) = 120 * (1/4)^3 * (3/4)^(10-3)
= 120 * (1/64) * (3/4)^7
= 120 * (1/64) * (2187/16384)
= 0.2816

Therefore, the probability that Judy will answer exactly 3 questions correctly is 0.2816.

The correct answer is option a-0.2816.

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The correct statement is:

The t-statistic or t-ratio is used to test the statistical significance of each β_i in a regression model.

The t-statistic is calculated by dividing the difference between the sample mean and the hypothesized population mean by the standard error of the sample mean.

The formula for the t-statistic is as follows:

t = (sample mean - hypothesized population mean) / (standard error of the sample mean)

The t-statistic or t-ratio is used to test the statistical significance of each β_i (regression coefficient) in a regression model. It measures the ratio of the estimated coefficient to its standard error and is used to determine if the coefficient is significantly different from zero.

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Answer:

It would be C

Step-by-step explanation:

So, shows in the graph, you can see that the change in rise is 100, because to get to 150 from 50, you add 100

And the run is 1, because to go from 0 to 1, you add 1

Meaning the slope is 100/1

Hope this helped!

Answer:

(0, 4) and (-1, 0)

Step-by-step explanation:

Given system of equations:

\(\begin{cases}y=2x^2+6x+4\\y=-4x^2+4\end{cases}\)

Solve by substitution

Substitute the first equation into the second:

\(\implies 2x^2+6x+4=-4x^2+4\)

Add 4x² to both sides:

\(\implies 2x^2+6x+4+4x^2=-4x^2+4+4x^2\)

\(\implies 6x^2+6x+4=4\)

Subtract 4 from both sides:

\(\implies 6x^2+6x+4-4=4-4\)

\(\implies 6x^2+6x=0\)

Factor out 6x from the left side:

\(\implies 6x(x+1)=0\)

Therefore:

\(\implies 6x=0 \implies x=0\)

\(\implies x+1=0 \implies x=-1\)

To find the y-coordinates of the found x-values, substitute the found values of x into one of the equations:

\(x=0 \implies -4(0)^2+4=4 \implies (0,4)\)

\(x=-1\implies -4(-1)^2+4=0\implies (-1,0)\)

Therefore, the solutions to the system of equations are:

(0, 4) and (-1, 0)

Answer:

Solutions:

a) x = 0, y = 4 ⇒ (0, 4)

b) x = -1, y = 0 ⇒ (-1, 0)

Step-by-step explanation:

Given system of equations:

a) y = 2x² + 6x + 4

b) y = -4x² + 4

1. Substitute the value of y in the second equation into the first equation:

⇒ -4x² + 4 = 2x² + 6x + 4

2. Solve for x:

⇒ -4x² + 4 = 2x² + 6x + 4 [subtract 4 from both sides]

⇒ -4x² + 4 - 4 = 2x² + 6x + 4 - 4

⇒ -4x² = 2x² + 6x [subtract 2x² from both sides]

⇒ -4x² - 2x² = 2x² - 2x² + 6x

⇒ -6x² = 6x [subtract 6x from both sides]

⇒ -6x² - 6x = 6x - 6x

⇒ -6x² - 6x = 0 [factor out -6x from the equation]

⇒ -6x(x + 1) = 0

Two cases:

a)

⇒ -6x = 0 [divide both sides by -6]        

⇒ -6x ÷ -6 = 0 ÷ -6

⇒ x = 0

b)

⇒ x + 1 = 0 [subtract 1 from both sides]

⇒ x + 1 - 1 = 0 - 1

⇒ x = -1

3. Find the value of y by substituting the found x values into one of the given equations:

a) x = 0:

⇒ y = -4x² + 4

⇒ y = -4(0)² + 4

⇒ y = -4(0) + 4

⇒ y = = 0 + 4

⇒ y = 4

coordinate: (0, 4)

b) x = -1:

⇒ y = -4x² + 4

⇒ y = -4(-1)² + 4

⇒ y = -4(1) + 4

⇒ y = -4 + 4

⇒ y = 0

coordinate: (-1, 0)

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We have that the 80% of this type of seeds germinate, if we plant 90 seeds, the 80% is: 90 * 80/100 = 72

Then we know that 72 seeds will germinate.

a) The probability that fewer than 75 seeds germinate is 1 or 100%, having in count that at least 72 seeds will germinate.

Then the correct answer is 1 (100%)

b) The probability of 80 or more seeds germinating is 0, again, having in mind the percent of seeds that germinate. In other words, as just 72 of 90 seeds will germinate, it's impossible that 80 or more seeds will germinate.

Then the correct answer is 0 (0%).

c) To approximate the probability that the number of seeds germinated is between 67 and 75 is the average of the probability that 67 seeds have been germinated and the maximum probability because 72 are the seed that will germinate.

Then the correct answer is 0.965

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Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

Answer:

A parallelogram is a quadrilateral with 2 pairs of parallel sides

Given

A stock market broker lists a stock with an expected growth of 9.84% and a margin of error of £ 1.08%. What is the minimum expected growth percent for that stock?

Solution

The final answer

The minimum expected is 8.76% Euros

Answer:

33.5416666667

Step-by-step explanation:

805/24 math problems division = 33.5416666667. Therefore 33.5416666667 to 2 decimal places= 33.54

805/24 divided by 2 » (805/24) ÷ 2 » 33.5416666667 ÷ 2 = 16.7708333333 . Check 805/24 long division below

Answer:

4(9a-4)

Step-by-step explanation:

36a - 16

We can factor 4 from each expression.

4*9a - 4*4

4(9a-4)