Write the following quadratic expression in standard form: ( 2 x − 1 ) ( 3 x − 1 )

The expression  aₙ > 0 and lim n → [∞] aₙ + 1 is true.

The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation.

Here we have given that if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.

And we need to check whether the given statement is true or not.

While we looking into the given question, we have identified the following expression,

=> lim n → [∞] aₙ + 1

Here we have also know that the value of aₙ > 0.

When we equate the given expression with zero, we have get the following expression,

=> lim n → [∞] aₙ + 1 = 0

=>  lim n → [∞] aₙ = -1

Here we have given the condition that,  aₙ >0, so

=> lim n → [∞] aₙ = 0

Therefore, the expression is zero.

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Answer:

Step-by-step explanation:

To find angle B we use tan

tan ∅ = opposite / adjacent

From the question

AC is the opposite

BC is the side adjacent to angle B

So we have

tan B = AC / BC

tan B = 6/9

tan B = 1/3

B = tan-¹ 1/3

B = 18.43°

B = 18° to the nearest hundredth

Hope this helps you

Answer:

arange it on ascending order then find the miidle one or add the numbers that are on the middle then divide it by two

Answer:

41

Step-by-step explanation:

22, 36, 39, 40, 40|42, 45, 46, 46, 49

41 is in-between 40 and 42

Content area the calculation for annual depreciation using the units-of-output method is yearly output.

What are the output method's units?

What is the annual depreciation formula?

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Answer: The given question is solved :

Step-by-step explanation:

correct solution in imaje

Answer:

7 over -5

Step-by-step explanation:

Answer:

135 degrees

Step-by-step explanation:

Answer:

8x^3 +2x^2-3x+18

Step-by-step explanation:

Answer:

2. SAS

4. x = 3

1. SAS

Step-by-step explanation:

2. Two triangles that are said to be congruent would have corresponding sides and angles. In this case, it has shown that the two sides next to the marked angle are congruent(or the same) along with angle A, equaling angle D. This indicates that the two triangles are congruent.

4. Since all triangle interior angles add up to 180, we can use that information to solve this problem. Angle GEF and angle DEF are supplementary angles; taking this into mind, you can use the equation:

2x+1+25 = 10x+2

1+25-2 = 10x-2x

26-2 = 8x

24 = 8x

3 = x

1. The triangle has been marked, stating that the angles are the same, and if you look closely at the sides, you can see the smaller triangle is dilated by 2 to make the bigger triangle.

Por lo tanto, podemos decir que el número mínimo de tazos que Pablo puede tener es 63.

El problema que se plantea es un caso de congruencia modular. La solución más eficiente es usar el Teorema Chino del Resto, que afirma que si a_1, a_2, ..., a_k son números enteros no negativos y n, m_1, m_2, ..., m_k son números enteros mayores a cero que son coprimos entre sí (es decir, el máximo común divisor de m_i y m_j es 1 para todo i y j), entonces existe un único número x (modulo M=m_1m_2...*m_k) que satisface las congruencias:

x ≡ a_1 (mod m_1)

x ≡ a_2 (mod m_2)

...

x ≡ a_k (mod m_k)

En el caso de Pablo, aplicamos el teorema con a_1 = 5, m_1 = 7, a_2 = 5, m_2 = 8 y a_3 = 5, m_3 = 9. Luego, M = 7 * 8 * 9 = 504, y buscamos el menor x positivo tal que x ≡ 5 (mod 7), x ≡ 5 (mod 8) y x ≡ 5 (mod 9).

Para calcular el x que satisface la condición, es necesario encontrar los inversos modular de m_i y aplicar la fórmula del teorema. Sin embargo, en este caso es posible encontrar una solución de manera intuitiva, observando que el menor número positivo que es múltiplo de 7, 8 y 9 es 63. Por lo tanto, podemos decir que el número mínimo de tazos que Pablo puede tener es 63.

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H0 says that the population means are equal.

In the context of a hypothesis test for the difference of means between two independent populations (x1 and x2), the null hypothesis (H0) states the following about the relationship between the two population means:
H0 says that the population means are equal.
In other words, the null hypothesis assumes that there is no significant difference between the means of the two populations. The alternative hypothesis would then state that the population means are different. Remember that hypothesis testing is a process to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

498,960 ways

Step-by-step explanation:

The president position can be filled by any one of the 11 qualified candidates. After the president is chosen, the secretary position can be filled by any one of the remaining 10 candidates. Similarly, the treasurer position can be filled by any one of the remaining 9 candidates.

Next, the three director positions can be filled in any order by selecting 3 candidates out of the remaining 8 candidates. The order of the selected candidates does not matter because all 3 directors are equivalent.

Using the multiplication principle of counting, we can multiply the number of choices at each step to find the total number of ways to fill the positions:

Number of ways to choose the president = 11

Number of ways to choose the secretary = 10

Number of ways to choose the treasurer = 9

Number of ways to choose the 3 directors = C(8, 3) = 56 (since order doesn't matter)

Total number of ways to fill the positions = 11 x 10 x 9 x 56 = 498,960

Therefore, there are 498,960 ways to fill the positions in the software development company.

The  company can fill the positions in 332,640 ways.

Combination is a way of selecting a subset of objects from a larger set, where the order of selection does not matter.

The company needs to elect a president, a secretary, a treasurer, and three directors.

There are 11 qualified candidates who can run for any of the positions.

The company can fill the positions in the following order:

President (11 candidates to choose from)

Secretary (10 candidates left to choose from)

Treasurer (9 candidates left to choose from)

Director 1 (8 candidates left to choose from)

Director 2 (7 candidates left to choose from)

Director 3 (6 candidates left to choose from)

So, the total number of ways the positions can be filled is:

= 11 × 10 × 9 × 8 × 7 × 6

= 332,640

Therefore, the company can fill the positions in 332,640 ways.

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Answer:

Step-by-step explanation:

4x + 2(-2X +1) = -2

Order of operations -

4x + -4x +2 = -2

Combine terms

4x-4x=0x

2 = -2

Answer:

no solution

Step-by-step explanation:

y = - 2x + 1 → (1)

4x + 2y = - 2 → (2)

substitute y = - 2x + 1 into (2)

4x + 2(- 2x + 1) = - 2 ← distribute parenthesis and simplify left side

4x - 4x + 2 = - 2 ( subtract 2 from both sides )

0 = - 4 ← not possible

this indicates the system of equations has no solution

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

If Mathis worked 12 hours, he would receive $72 total pay.

Step-by-step explanation:

\(6h=p\\$6(12)=p\\$72=p\)

Answer:

$637.5

Step-by-step explanation:

Given data

Cost of  merchandise= $750

Discount= 15%

Let us find the amount of the discount

=15/100*750

=0.15*750

=$112.5

Hence the amount paid will be

=750-112.5

=$637.5

Answer:

The 3rd one.

Step-by-step explanation:

Answer:

9,11

Step-by-step explanation:

let the numbers be x, x+2 (since consecutive odd integers have a difference of 2)

therefore;

x(x+2)= 99

x²+2x=99

I usually solve the sum like this,

we need to find the nearest square number ( number smaller than the number on the R.H.S)

here, it is 81, whose square root is 9. therefore the solution is 9

verification:

(9)²+2*9=99

81+18=99

99=99

hence, 9 is the solution. therefore the positive odd consecutive integers are  

x=9

x+2=9+2= 11

verification:

9*11=99

99=99

L.H.S=R.H.S

Answer: question#7 is 7/12

question#8 is 1  3/8

question#5 is 1/2

question#6 is 12

question#9 is 1  1/6

question#10 is 31/40

question#11 is 3/4

Step-by-step explanation: give brainliest

Question #5: Option A, \(\frac{1}{2}\)

Question #6: Option A, 12

Question #7: Option A, \(\frac{7}{12}\)

Question #8: Option D, \(1\frac{3}{8}\)

Question #9: Option D, \(1\frac{1}{6}\)

Question #10: \(\frac{31}{40}\)

Question #11: \(\frac{3}{4}\)

Pls mark brainliest

Answer:

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

Initial height is the y-intercept of the line.

Yearly growth rate is the slope.

So we have:

The equation of the line with these constants is:

Answer:

5x+3x=8x

8x = 32

x=32/8 = 4

boys are 4 x 5 = 20

girls are 4 x 3 = 12

Step-by-step explanation:

Add the ratios together: 5 + 3 = 8

Divide total students by 8:

32 / 8 = 4

Multiply each ratio by 4 to find the number of each:

Boys = 4 x 5 = 20

Girls = 3 x 4 = 12

There are 20 boys.

Answer:

Since the sides across from each other are congruent, you can times them by two

2(4x-6)+2(3x+4)

Answer:

she could buy 5 outfits

Step-by-step explanation:

you multiply 7.17 by 3 = 21.51

700 - 21.51 = 678.49

678.49 - 242.33 = 436.16

436.16 - 33.68  = 402.48

402.48 divided by 77.40 = 5

Answer:

totally false

Step-by-step explanation:

it is not the same rate

Answer:

joe mama

Step-by-step explanation:

Answer:

Step-by-step explanation:

So we know that:

Total Cost: $12.40

Beads per Necklace: 2.80

So the first thing we have to do is multiply 2.80 by 2 which equals 5.6 so that's how much of the total cost was for beads.

So now we subtract the amount of money for the beads and the total cost of the necklaces 12.40 - 5.6 = 6.8

So 6.8 was the amount of money that is left for the pendants. Now that we know that we have to divide that by 2 to find out how much money did Carlos spend for each pendant,

6.8÷2= 3.4

So Carlos spent 3 dollars and 4 cents on each pendant.

The approximation of the irrational number, according to the question, is 11.31.

Any actual figure that can't be written as the ratio between two integers, p/q, where both p and q also are integers, is referred to as an irrational number. For instance, it is impossible to represent the integral of 2 as a decimal or a fraction.

The Greeks recognised that a square with sides that are each one measure length has a diagonal which length is irrational. The diagonal's length matches the square root of two according to the Pythagorean Theorem. The denominator of 2 is hence illogical.

\(\sqrt{128}\)

Transform the Expression :

\(\sqrt{8^2 }\)×\(\sqrt{2}\)  

Simplify the expression :

\(8\sqrt{2}\)

Round \(8\sqrt{2}\) =

11.31

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The Complete Question :

Simplify the irrational number \(\sqrt{128}\)  ; then estimate it to two decimal places.

The decision for values of χ^2 obt close to 0 will depend on the level of significance and should be made in the context of the specific hypothesis being tested and the available evidence.

If the obtained value of chi-squared (χ^2 obt) is close to 0, it suggests that the observed data is not significantly different from the expected data. This means that the null hypothesis, which assumes that there is no significant difference between the observed and expected data, is likely to be accepted.

However, the decision whether to accept or reject the null hypothesis also depends on the level of significance (alpha) chosen for the test. If the level of significance is low, even a small difference between the observed and expected data can lead to the rejection of the null hypothesis. On the other hand, if the level of significance is high, a larger difference between the observed and expected data may be required to reject the null hypothesis.

Therefore, the decision for values of χ^2 obt close to 0 will depend on the level of significance and should be made in the context of the specific hypothesis being tested and the available evidence.

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When the values of χ 2 obt close to 0, the decision is likely to be that the null hypothesis cannot be rejected.

The chi-square test is a statistical test used to determine whether an observed distribution of categorical data varies significantly from an expected distribution. It is utilized to investigate the association between two or more categorical variables, and the test evaluates the likelihood of the observed frequencies of each category of data based on the expected frequency of that data.The Chi-Square DistributionThe chi-square distribution is a collection of distributions that are used to describe data that have a characteristic called degrees of freedom. The degrees of freedom are calculated using the number of categories minus 1 in the categorical variable being tested.

The distribution is always positive and right-skewed, with the majority of the distribution situated in the right tail. When the values of χ 2 obt close to 0, the decision is likely to be that the null hypothesis cannot be rejected.

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Answer:

Step-by-step explanation:

(9-5+X)+ (39+211)

whats the Solution?

(9 - 5 + x) +  (39 + 211) =

4 + x + 39 + 211 =

254 + x

Answer:

254 + x

Step-by-step explanation:

(9 - 5 + x) +  (39 + 211) =

4 + x + 39 + 211 =

254 + x

Hope this helps

:)

Answer:

Congruent segments subtracted from congruent segments form congruent segments

Answer: 5 cm

Step-by-step explanation:

We know that 3x + 2x makes up one side of the square. Recall that the formula for a square's perimeter is P = 4a. Thus:

(3x + 2x) * 4 = 100

5x * 4 = 100

20x = 100 (divide by 20)

x = 5 (cm)