How many solutions does the equation 3(x + 2) - 10 = 4x - 6+ xhave? A infinitely many solutions B two solutions one solution D no solution​

Answer:

Step-by-step explanation:

We will use the formula 4(x), where x is the number of terms.

In this question, it says to find the 67th term. Let's substitute 67 into the formula to obtain our answer.

Hence, the 67th term in the sequence is 268.

Hoped this helped.

\(BrainiacUser1357\)

Given sequence = 4,8,12,16...., (t1,t2,t3,t4,......)

first term(a) = 4

Common difference(d) = t2-t1 = 8-4 = 4

nth term of arhmetic sequence is given by,

tn = a+(n-1)d

To calculate the 67th term(t67) of sequence substitute n = 67,a = 4,d = 4 in above formula,

t67= 4+ (67-1)×(4)

t67 = 4+ 66×4

t67 = 4+264

t67 = 268

The 67th term of sequence is 268

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The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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Answer:

y=9

Step-by-step explanation:

2(6)-3=9

Answer:

its pr

Step-by-step explanation:

because im smart

Answer:

Subtracted from 33

Step-by-step explanation:

Every year, the bear population shrinks  by a factor of  2/3.

Two or more expressions with an Equal sign is called as Equation.

The exponential model is: N(t)=2187.(2/3)t

Let's analyze that function.

When t = 0, (2/3)⁰ = 1 and N(0) = 2,187 × 1 = 2,187

Thus, the population of bears starts with 2,187 individuals.

For t = 1, the population will be N(1) = 2,187 × (2/3).

For t = 2, the population will be N(2) = 2,187 × (2/3)²

And so on, every year the population of bears is multiplied by a factor of 2/3.

Since, 2/3 is less than 1, every year the population will be decreasing (decaying), by a factor of 2/3.

Thus, the answer, i.e. the complete sentence, is:

Every year, the bear population shrinks  by a factor of  2/3.

Hence, Every year, the bear population shrinks  by a factor of  2/3.

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Answer:

£8489.66

Step-by-step explanation:

100% × 2% = 102%

102% = 1.02

£8000 × \(1.02^{3}\) = 8489.664

= £8489.66

Hey there ..!!

There is no figure here ..

Please attach the figure too ..

The length of the shortest side of the triangle is 14 units so option (B).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Given the triangle with sides 2x, x + 15, and 4x - 7.

Perimeter = Sum of all sides

2x + x + 15 + 4x - 7 = 57

7x + 8 = 57

7x = 49

x = 7

Now,

Side 2x ⇒ 2×7 = 14

x + 15 ⇒ 7 + 15 = 22

And,

4x - 7 ⇒ 4×7 - 7 = 21

Hence "The length of the shortest side of the triangle is 14 units".

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Given question is missing an image attached below,

Answer:

11 hours

Step-by-step explanation:

$386.25 - (35 x $7.50) = $123.75 <--- overtime

$7.50 x 1.5 = $11.25

$123.75 / $11.25 = 11 hours overtime

Given:

The combination C(14,10).

To find:

The value of the given combination.

Solution:

We know that,

\(C(n,r)=\dfrac{n!}{r!(n-r)!}\)

Using this formula, we get

\(C(14,10)=\dfrac{14!}{10!(14-10)!}\)

\(C(14,10)=\dfrac{14\times 13\times 12\times 11\times 10!}{10!(4)!}\)

\(C(14,10)=\dfrac{14\times 13\times 12\times 11}{4\times 3\times 2\times 1}\)

\(C(14,10)=7\times 13\times 11\)

\(C(14,10)=1001\)

Therefore, the value of C(14,10) is 1001 and the correct option is B.

The equivalent expression of "\(C(14,10)\)" is "1001".

using formula:

\(\to ^n C_r=\frac{n!}{r!(n-r)!}\)

putting the given value into the above formula:

\(\to ^{14} C_{10}=\frac{14!}{10!(14-10)!}\)

              \(=\frac{14 \times 13 \times 12 \times 11 \times 10! }{10! \times 4 \times 3 \times 2 \times 1}\\\\=\frac{14 \times 13 \times 12 \times 11 }{ 4 \times 3 \times 2 \times 1}\\\\={7 \times 13 \times 11 }{}\\\\=1001\)

Therefore, the final answer is "1001".

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Answer:

46

Step-by-step explanation:

length x width x height

7 x 5 x 3

Answer: surface area = 142

Volume = 105

* make sure to add labels (units^2, etc.)

Step-by-step explanation:

Area = length x height

Volume = length x width x height

Answer:

u=30

x=150

z=150

y=30

Step-by-step explanation:

u=y [ being vertically opposite angle]

x+u=180[ being linear pair]

x+30=180

x=180-30

x=150

z=x[being vertically opposite angle]

z=150

y=u[ being voa]

Answer:

=40°

Step-by-step explanation:

Sorry that's all I know

^keep safe^

The function of the town's population is an exponential growth

From the question, we have the following parameters that can be used in our computation:

Initial population = 3800

Growth  rate = 2% every year

From the above, we understand that

There is a growth in the population by 2% every year

Using the above as a guide, we have the following:

This means that the function is an exponential growth

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Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 9.575

Answer:

Step-by-step explanation:

The first three terms of the arithmetic sequence for the number of words written are 10010, 9760, 9510. These have a common difference of 9760-10010 = -250. The first term and common difference can be used to make the explicit equation for the words written on the n-th day.

The explicit formula for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...

  \(a_n=a_1+d(n-1)\)

For first term a₁ = 10010 and common difference d = -250, the explicit rule is ...

  \(a_n=10010-250(n-1)\)

On day 14, n=14, and the number of words written is ...

  \(a_{14}=10010-250(14-1)\\\\a_{14}=10010-250(13)=10010-3250\\\\a_{14}=6760\)

The writer would write 6760 words on the 14th day.

The equation of P in the given equation is P = 100N/W

The equation is given as:

W = 100N/P

Multiply both sides by P

WP = 100N

Divide both sides by W

P = 100N/W

Hence, the equation of P in the given equation is P = 100N/W

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One of the statements that is not true about confidence intervals for the mean of a random variable following a normal distribution with unknown mean and variance is that the confidence interval width decreases as the sample size increases.

A confidence interval is an estimate of the range within which the true population parameter (in this case, the mean) is likely to fall. The width of the confidence interval depends on several factors, including the level of confidence chosen and the sample size. However, one of the statements that is not true about confidence intervals is that the confidence interval width decreases as the sample size increases.

In fact, the width of the confidence interval is inversely proportional to the square root of the sample size. As the sample size increases, the width of the confidence interval tends to decrease, but the decrease is not linear. The decrease in width becomes smaller as the sample size gets larger. This means that doubling the sample size will not necessarily halve the width of the confidence interval. The relationship between the sample size and the width of the confidence interval follows the square root rule.

Therefore, it is incorrect to state that the confidence interval width decreases as the sample size increases. While increasing the sample size generally leads to narrower confidence intervals, the decrease in width becomes less significant as the sample size increases, following the square root rule.

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Here are the steps to solve geometry problems involving angle relationships:

For example:

Given: ∠A = 35°, ∠B = 40°

Find: Measure of ∠C

We know interior angles in a triangle sum to 180°:

∠A + ∠B + ∠C = 180°

35 + 40 + ∠C = 180°

∠C = 180 - 35 - 40

= 105°

So the measure of ∠C would be 105°. Then check by verifying other relationships (e.g. adjacent angles form a linear pair, etc.)

Hope these steps and the example problem help! Let me know if you have any other questions.

Answer:

\( \sf \: x = 6\)

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ 4x + 10 = 34

Then the value of x will be,

→ 4x + 10 = 34

→ 4x = 34 - 10

→ 4x = 24

→ x = 24 ÷ 4

→ [ x = 6 ]

Hence, the value of x is 6.

Answer:

The answer is 10

Step-by-step explanation:

You will want to do 1/2B×h

Which is 1/2×4×5

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = \(\frac{2-(-4)}{2-(-1)}\) = \(\frac{2+4}{2+1}\) = \(\frac{6}{3}\) = 2

Answer:

we find that the incidence rate of asthma in Oklahoma during that year was 454 cases per 100,000 population.

Step-by-step explanation:

The incidence rate of asthma is a measure of the number of new cases of asthma in a given population over a specific period. It is usually expressed per 100,000 population to allow for easier comparison between populations of different sizes. In this case, we are given the number of new cases of asthma and the total population of Oklahoma during the same year.

To calculate the incidence rate, we divide the number of new cases of asthma by the total population, and then multiply by 100,000. Applying this formula, we find that the incidence rate of asthma in Oklahoma during that year was 454 cases per 100,000 population.

This means that for every 100,000 residents of Oklahoma, there were 454 new cases of asthma during that year.

This information can be useful for public health officials and policymakers in identifying areas where more resources may be needed to prevent and manage asthma. It can also help in the evaluation of the effectiveness of interventions aimed at reducing the incidence of asthma.

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Answer:

  8 units

Step-by-step explanation:

Points (2, 5) and (10, 5) have the same y-coordinate, so lie on the horizontal line y = 5. The distance between the points is the difference of their x-coordinates:

  10 -2 = 8

The points are 8 units apart.

__

If you plot the points on a graph, you can count the grid squares between them.

Therefore, The answer is true. The equation satisfies the definition of a quadratic equation.

The given equation xy + 4 - y² = 6 can be simplified to xy - y² = 2. This is a quadratic equation as it contains a squared term, y², and a linear term, xy. To determine whether this is true or false, we need to check if it satisfies the definition of a quadratic equation. Since it does, the answer is true.
The given equation is (Xy + 4) - y² = 6. To determine if it's a quadratic equation, we need to check if it contains a term with the highest power of 2, and if it involves only one variable.

Therefore, The answer is true. The equation satisfies the definition of a quadratic equation.

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Answer:

\(12ab\)

Step-by-step explanation:

3a × 2b = 6ab

6ab × 2 = 12ab

Therefor, the answer is 12ab.

3a × 2b × 2 = 12ab

The expression expects us to find the product . Therefore,

Let's do it step by step

3a × 2b = 6ab

Then,

6ab × 2 = 12ab

Therefore,

3a × 2b × 2 = 12ab

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Solving a linear equation we can conclude that Ricardo's allowance was $55.50

Let's define x as Ricardo's allowance.

We know that Ricardo spent half of his allowance, then at this point, he has x/2 left. Now he spends $5.25 in a snack, and after that, he has a total of $22.50 left.

Then we can solve the linear equation:

x/2 - $5.25 = $22.50

x/2 = $22.50 + $5.25 = $27.75

x = 2*( $27.75) = $55.50

Then we can conclude that Ricardo's allowance was $55.50

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Answer: it’s D

Step-by-step explanation:

Answer:

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

Using the formula for the union of two sets:

where

We are given that:

Plugging in the values, we get:

Therefore, set B contains 42 elements.

As a result, the following equation can be used to determine x: Earnings total = $110 plus $0.12 (daily sales)

A mathematical statement proving the equality of two expressions is known as an equation. It often has one or more variables, and depending on the values of those variables, it can either be true or false. Equations are frequently shown by placing an equal symbol (=) between the two expressions, as in the following example: 2x + 3 = 9 According to this formula, the product of x multiplied by itself three times equals nine. By moving the equation around and carrying out operations on both sides until the variable is isolated, we can find the value of x.

given

$110 in total earnings plus x (daily sales)

Replace the specified values with:

$224 = $110 + x($950)

Simplify and find x's value:

$114 = x($950)

x = $114/$950

x = 0.12

As a result, the following equation can be used to determine x: Earnings total = $110 plus $0.12 (daily sales) .

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