Which expression is equivalent to ? Prove your choice is correct.

Answer:

[tex]-13x-23[/tex]

Step-by-step explanation:

Given sequence:  [tex]x-9, -x-11, -3x-13[/tex]

Therefore,

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

(where a is the first term and d is the common difference)

To find the common difference, subtract a term from the next term:

[tex]\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}[/tex]

Therefore,

[tex]a_n & =(x-9)+(n-1)(-2x-2)[/tex]

To find the 6th term, input n = 6 into the equation:

[tex]\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}[/tex]

Answer:

7/8

Step-by-step explanation:

I took the test

The total weight of the dog toys that weighed 1/8 of a pound or 3/8 of a pound is 7/8.

Let we have to add two fractions:

[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]

Then we will find the Lowest Common Multiple (LCM) of   b_1 and

b_2. That will help to make the denominate or same.

Once the denominators become the same, the numerators can add up directly, giving us the final result of the addition.

According to the line plot;

The total weight of the dog toys that weighed 1/8 of a pound or 3/8 of a pound

= 3/8 + 3/8 + 1/8

=7/8

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1 yellow heart = 4

5 yellow hearts = 20

1 pink triangle = 4

5 pink triangles = 20

hope it helps...!!!

Answer:

Option C

Step-by-step explanation:

[tex]\boxed{Log \ \dfrac{a}{b}=log \ a - log \ b}\\\\\boxed{(log \ a)^b=b*log \ a}[/tex]

[tex]\sf log_w \ \dfrac{(x^{2}-6)^4}{\sqrt[3]{x^2+8} }=log_w \ (x^2-6)^4 - log_w(x^2+8)^{\frac{1}{3}}[/tex]

                       [tex]\sf = 4*log_w \ (x^2 -6) - \dfrac{1}{3}log_w \ (x^2 + 8)[/tex]

Using the combination formula, it is found that such a committee can be formed in 342,700,125,300 ways.

The order in which the people are selected is not important, hence, the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 11 people are taken from a set of 60, hence:

[tex]C_{60,11} = \frac{60!}{11!49!} = 342700125300[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

There are 288  outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

The outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time.

The number of  outcomes is created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time is;

[tex]\rm Outcome=4\times 6\times 12\\\\Outcomes =288[/tex]

Hence, there are 288  outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time.

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Answer:

9

Step-by-step explanation:

To solve this expression, we need to follow the BODMAS. The BODMAS states that to simplify the expression in the parenthesis first. Then, divide or multiply if possible. Lastly, add or subtract if possible.

The BODMAS states that:

             Expression                                                     BODMAS                  

Therefore, the value of the expression is 9.

Learn more about BODMAS: https://brainly.com/question/23827397

Answer:

The answer is given in the picture

Answer:

31.4 m

Step-by-step explanation:

The formula for the circumference of a circle is c=dπ, so we can substitute our diameter and 3.14 for pi.
c=(10)(3.14)

c=31.4

So the diameter is 31.4 meters.

Answer:

Trig identities

[tex]\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}[/tex]

[tex]\sin(\thet2\theta)=2 \sin(\theta)\cos(\theta)[/tex]

[tex]\begin{aligned}\cos(\thet2\theta) & =1-2\sin^2(\theta)\\2\sin^2(\theta) & = 1-\cos(2\theta) \end{aligned}[/tex]

Solution

[tex]\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}[/tex]

[tex]\textsf{Multiply by}\:\dfrac{2\sin(\theta)}{2\sin(\theta)}:[/tex]

[tex]\begin{aligned}\implies \tan(\theta) & =\dfrac{\sin(\theta)}{\cos(\theta)} \times \dfrac{2\sin(\theta)}{2\sin(\theta)}\\\\ & =\dfrac{2\sin^2(\theta)}{2\sin(\theta)\cos(\theta)}\\\\ & = \dfrac{1-\cos(2\theta)}{\sin(2\theta)}\end{aligned}[/tex]

Therefore,

[tex]\implies \dfrac{1-\cos(2\theta)}{\sin(2\theta)}=\dfrac{1-\cos(2\theta)}{\sin(2\theta)}[/tex]

First Step:

Parentheses,

7 + 5 = 12

Divide,

12 / 3 = 4

Add,

4 + 3 = 7

Multiply,

10 x 7 = 70

Answer is 70!!

hope this helps

[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&65\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&6\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+65t+6[/tex]

Check the picture below, the maximum occurs at the vertex of the parabolic path, so

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+65}t\stackrel{\stackrel{c}{\downarrow }}{+6} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 65}{2(-16)}~~~~ ,~~~~ 6-\cfrac{ (65)^2}{4(-16)}\right)\implies \left(\cfrac{65}{32}~~,~~6+\cfrac{4225}{32} \right) \\\\\\ \left(\cfrac{65}{32}~~,~~\cfrac{4609}{32} \right) \implies \stackrel{maximum~height}{(2.03125~~,~~\stackrel{\downarrow }{72.015625})}[/tex]

Answer:

I don't think it would be called bias, it's just asking for an opinion if a state can kill a person if they break the law.

Answer:

? = 14.48

Step-by-step explanation:

This is a right triangle so you can use trigonometry.

since you know the opposite and hypotenuse sides, use sin.

sin(?) = opposite/hypotenuse = 4/16 = 1/4

? = arcsin(1/4)

? = 14.48

Answer:

$1440

Step-by-step explanation:

It's kind of obvious, 8 x 180 = 1440

Answer:

144

Step-by-step explanation:

A=BH

your base is 9 and your height is 16. 16 times 9= 144. Hope this helps :)

Answer:

Ans of No.3

C 40÷(x+4)

Step-by-step explanation:

question 40÷(4+x)

ans nothing changed but x move to front of 4 and 4 move behind of x

Answer:

Tax = $7.36

Step-by-step explanation:

[tex]tax=92(\frac{8}{100} )=92(0.08)=7.36[/tex]

Hope this helps

Answer:

7.36$ tax.

When finding the whole amount of dollars to the percentage, multiply the whole number(92) by the tax percentage(0.08) which is a decimal for this case.

[tex]92 * 0.08 = 7.36\[/tex]

Optionally, find the tax plus the whole number.

[tex]92 + 7.36 = 99.36\[/tex]

__________________________________________________________

Ask in comments.

Answer:

It's 13<26

Step-by-step explanation:

Answer:

The answer is B. 1/2

Step-by-step explanation:

You want to role a number less than 4 so you want 1,2,3 at least.

A dice has 6 numbers, 1-6.

So 3/6 = 1/2 making it a 50% change of you getting either 1,2,3.

Answer:

They are all real numbers.

Option (2) and (5) I think is correct. x = -5 and x = 3

Step-by-step explanation:

Answer: Option (2) and (5) is correct. ... We have to find the solution of the given equation (x + 5)(x – 3) = 0 and choose the correct option from the given·

Answer:

1.8 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

43cm²

Step-by-step explanation:

let's first consider the area of a square.

the area is L² which means all sides are equal so we take the length times the breadth which is both equal because like we said all sides are equal.

so to find the side of the square using the area, we take the square root of both of the area.

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

and also

[tex] \sqrt{18} = 4.2[/tex]

so we have the height of the triangle as 5cm and the base is 4.2cm.

now, from the triangle, since we have two sides and it's a right-angled, we can use Pythagoras' formula.

[tex] \sqrt{ {5}^{2} + {4.2}^{2} } = 6.53cm[/tex]

so the side 6.53cm is also the same side as the largest triangle. Since it's a square, all sides are equal. So we find the area of the largest triangle by using the formula

Area = L²

Area = 6.53²

Area = 42.6cm

the nearest cm square

Area = 43cm²

Check the picture below.

#1

Not divide we multiply

#2

Yes

#3

Yes it's reverse of first one

Answer:

False

True

True

Step-by-step explanation:

[tex]\textsf{Product Rule}:\quad \log_n(x)+\log_n(y)=\log_n(xy)[/tex]

When condensing a logarithm using the product rule, you combine the answers by multiplying them.

[tex]\textsf{Power Rule}:\quad a \log_n(x)=\log_n(x)^a[/tex]

When condensing a logarithm using the power rule, you move the front number to become the exponent on the log.

[tex]\textsf{Quotient Rule}:\quad \log_n(x)+\log_n(y)=\log_n\left(\dfrac{x}{y}\right)[/tex]

When condensing a logarithm using the the quotient rule, you combine the answers by dividing them.

Answer:

B 37.5%

Step-by-step explanation:

Using the interpretation of a confidence interval, it is found that the correct option is:

x% confidence interval:

Hence, the correct option is:

You can learn more about the interpretation of a confidence interval at

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The amount of money that Romania’s imports are worth is equal to: C. $76.17 billion.

Given the following data:

Exports tariff = 6% = 0.06.

Imports tariff = 21% = 0.21.

Trade deficit = $26.76 billion.

Tariff revenue = $18.9603 billion.

In order to determine how much Romania’s imports are worth, we would write a mathematical expression for the total tariff revenue and trade deficit as follows:

0.06E - 0.21I = 18.9603    .....total tariff revenue (eqn. 1).

I - E = 26.76                       .....trade deficit (eqn. 2).

From eqn. 2, we have:

E = I - 26.76     ..equation 3.

Substituting eqn. 3 into eqn. 1, we have:

0.06(I - 26.76) - 0.21I = 18.9603

0.06I - 1.6056 - 0.21I = 18.9603

0.27I = 18.9603 + 1.6056

0.27I = 20.5659

I = 20.5659/0.27

I = $76.17 billion.

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Answer:

9cm and 2cm

Step-by-step explanation:

∴ They're similar triangles.

∴ [tex]\frac{a}{3}[/tex]= [tex]\frac{6}{b}[/tex] = [tex]\frac{3}{1}[/tex]

∴ a = 9cm

∴ b = 2cm