2x to the 2nd power + 3x+1 when x = -2

Answer:

Alternate interior angles

Step-by-step explanation:

The two angles are in the interior of the two parallel lines on the opposite sides of the line making them alternate

Therefore, the name for these angles are:

Alternate interior angles

Answer:

[tex] {2}^{12} [/tex]

Step-by-step explanation:

[tex] {16}^{3} \\ = (2 \times 2 \times 2 \times 2) ^{3} \\ = ( {2}^{4} {)}^{3} \\ = {2}^{4 \times 3} \\ = {2}^{12} [/tex]

Hope it helps.

If you have any query, feel free to ask.

Answer:

Step-by-step explanation:

kk gworl

Answer:

TS

Step-by-step explanation:

QT≅TS because QS is bisected by PR

The missing measures in the given triangles are,

BN = 9 cm

TW = 14 cm

BF = 12 cm

m ∠W = 82°

m ∠B = 67°

m ∠F = 31°

What is isomorphic triangles?

The triangulations of two simple polygons, Tp and Tq, are referred to as isomorphic (or occasionally compatible) if an isomorphism exists between the vertices of P and Q, and the isomorphism has the property that three vertices of P form a triangle in Tp if and only if the mapping of the three vertices in Q also form a triangle in Tq.

Given:  ΔSTW ≅ ΔBFN

We have to find the missing measure.

As the triangles are isomorphic.

⇒ All sides and angles of two triangles are same.

⇒ ST ≅ BF, TW ≅ FN,  SW ≅ BN

∠S ≅∠B,  ∠T ≅ ∠F,  ∠W ≅ ∠N

As SW = 9 cm ⇒  BN = 9 cm

As FN = 14 cm ⇒ TW = 14 cm

As  ST = 12 cm ⇒ BF = 12 cm

As m ∠N = 82° ⇒ m ∠W = 82°

As m ∠S = 67° ⇒ m ∠B = 67°

Now m ∠F = 180° - 67° - 82°

⇒  m ∠F = 31°

Hence, the missing measures in the given triangles are,

BN = 9 cm

TW = 14 cm

BF = 12 cm

m ∠W = 82°

m ∠B = 67°

m ∠F = 31°

Complete question:

Complete question is attached below.

Answer:x>12

Step-by-step explanation:

If the points be, A(3, 2), B(-2, -3) and C(2, 3) then the given triangle is a right angled triangle.

The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side that faces the right angle and is also the side with the longest side in a right triangle, and the height and base are the two arms of the right angle.

By their angles, triangles can also be categorized. There are three sharp angles in a triangle (less than 90 degrees). There is a right angle and two acute angles in a right triangle. In addition, an acute triangle has two angles that are equal in size to the obtuse angle (which is more than 90 degrees).

Let the given points be, A(3, 2), B(-2, -3) and C(2, 3).

Therefore,

[tex]$& \mathrm{AB}=\sqrt{(3+2)^2+(2+3)^2}=\sqrt{50}=5 \sqrt{2} \text { units } \\[/tex]

[tex]$& \mathrm{BC}=\sqrt{(-2-2)^2+(-3-3)^2}=\sqrt{52}=2 \sqrt{13} \text { units } \\[/tex]

[tex]$& \mathrm{AC}=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{2} \text { units }[/tex]

Now, we can see that,}

[tex]$& (2 \sqrt{13})^2=(5 \sqrt{2})^2+(\sqrt{2})^2 \\[/tex]

[tex]$& \mathrm{BC}^2=\mathrm{AB}^2+\mathrm{AC}^2[/tex]

Therefore, the given triangle is a right angled triangle.

The complete question is:

Do the points (3, 2), (-2, -3) and (2, 3) form a triangle? If so, name the type.

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Answer:

A) 460+62x=1142

B) 11

Step-by-step explanation:

B: To find the answer you have to subtract 460 from 1142. And the divide the result by 62 to get your answer.

16 pounds of the yarn that is 15% wool must be used if the finished rug is to be 36% wool.

We know that the rug is made by weaving 24 lb of yarn that is 50% wool and with a yarn that is 15% wool.

The percentage of wool in the final rug is 36%.

Let's call the weight of yarn that is 15% wool as x.

We know that the total weight of wool in the final rug is (24*50%)+(x*15%) = 0.36(24+x)

We know that the final rug is 36% wool and we can write the equation as:

(24*50%)+(x*15%) = 0.36(24+x)

Simplifying the equation:

12 + 0.15x = 0.36(24+x)

0.15x = 0.36(24+x) - 12

0.15x = 8.64 + 0.36x - 12

0.21x = 8.64 - 12

x = 8.64 - 12 / 0.21

x = 16 pounds

Therefore, 40 pounds of the yarn that is 15% wool must be used if the finished rug is to be 36% wool.

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Answer:

8

Step-by-step explanation:

y=mx+b

m=slope=change in y divided by change in x

change in y=y-0

change in x=1--6

y/7=8/7

so y=8

The value of C is 95. This is because the 95% confidence interval  for the proportion of all residents in the city who approve of the mayor's job performance is 0.565 to 0.695.

To calculate the confidence interval, the formula is used:

CI = p +/- Z * √(p(1-p)/n)

Where p is the proportion of all residents in the city who approve of the mayor's job performance from the sample, Z is the critical value, and n is the sample size.

In this case, p = 0.63, n = 100, and Z is the critical value associated with a 95% confidence interval, which is 1.96.

Plugging these values into the formula, we get:

CI = 0.63 +/- 1.96 * √(0.63(1-0.63)/100)

This yields a confidence interval of 0.565 to 0.695, so the value of C is 95.

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On solving the provided question, we can say that we can form equation 2x - 4 = 120 => x = 58

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here, we can form equation

2x - 4 = 120

2x = 116

x = 58

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Answer:He used 6 plots of land.

explanation:

total no. of plots =10 (land was divided in 10 equal parts)

used plots = 3/5 of 10 =3/5*10 =6

Step-by-step explanation:

71 more bushels of corn will Nathaniel have if each uses 40 ears of corn as his measurement than if he uses 60 ears of corn as his measurement.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Nathaniel has 8,640 ears of corn.

First, the bushel have 40 ears of corn then number of bushels required

= 8460/40

= 212

Second, the bushel have 60 ears of corn then number of bushels required

= 8460/60

= 141

So, the difference is = 212- 141 = 71

Hence, 71 more bushels of corn will Nathaniel have in comparison.

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The total price of the shoes, including tax is $39.944.

Given is that a pair of shoes usually sells for $56. The shoes are 40% off, and sales tax is 6%.

We can write the total cost of shoes as -

{x} = 56 - {40% of 56} + 6% of {40% of 56}

{x} = 56 - {40/100 x 56} + 6/100 x {40/100 x 56}

{x} = 56 - 22.4 + 1.344

{x} = 56 - 21.056

{x} = 34.944

Therefore, the total price of the shoes, including tax is $39.944.

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The increase in price represents linear growth and the constant growth rate or growth factor per minute = 0.65 per min.

A linear growth is defined as the type of growth that is always at the same rate while exponential growth is the type of growth that increases with time.

From the data recorded by the student, the amount collected every 10 minutes by the driver = $6.5

If 10 minutes = 6.5

1 minute = X

Make X the subject of formula;

X = 6.5/10

X = 0.65

Therefore, the growth rate per minute = 0.65/min

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The model estimates an increase, on average of 0.86 cent per year in the price of the stamp.

What is meant by average?

Equation of best fit line is y =  -0.71 + 0.86x

y = predicted price in cents of a stamp.

x = represents the number of years since 1958.

Slope = 0.86 means rate of chance of price in cent per year slope is positive mean increase in price .

The model estimates an increase, on average of 0.86 cent per year in the price of the stamp.

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Answer:

8

Step-by-step explanation:

Julie can pay a ONE TIME fee of 12 or pay $1.50 per ride. And it asks the cost of what number of rides equals the one time fee daily pass

so u do

1.50x=12

x=8

The ratio of the line segment joining the given points A(3,−3) and B(−2,7) which was divided by x-axis is equal to 3 : 7.

As given in the question,

Line segment formed by joining the given points :

( x₁ , y₁) = ( 3, -3)

( x₂ , y₂ ) = ( -2, 7)

Let the ratio that divides the line segment by x - axis be m : n

On x-axis coordinates are ( x, 0)

( x, 0 ) = [ (mx₂ + nx₁)/(m + n) ,  (my₂ + ny₁)/(m + n) ]

⇒ (x, 0) = [  (-2m + 3n)/(m + n) ,  (7m -3n)/(m + n) ]

⇒ (7m -3n)/(m + n) = 0

⇒ 7m -3n = 0

⇒ m : n = 3 : 7

Therefore, the ratio divides the line segment formed by joining the given points by x-axis is equal to 3 : 7.

The above question is incomplete, the complete question is :

What is the ratio in which the line segment joining the points A(3,−3) and B(−2,7) is divided by x-axis ?

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The inequality equation for the length of the pipe is |x - 3.36| ≤ 0.09, and the range varies from 3.27 ≤ x ≤ 3.45.

According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this statement can be replaced with any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠).

Given the length of the pipe = 3.36 meters

The pipe must be within 0.09 meters

Let x represent the length of the pipe,

inequality equation,

|x - 3.36| ≤ 0.09

case 1: x - 3.36 ≤ 0.09

x ≤ 3.45

Case 2: x - 3.36 ≥ -.09

x ≥ 3.27

range varies from 3.27 ≤ x ≤ 3.45.

Hence the equation is |x - 3.36| ≤ 0.09 and range is 3.27 ≤ x ≤ 3.45.

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The lines are not parallel because the slope of the lines are not the same

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Line a : 4y + x = 8   be equation (1)

On simplifying the equation , we get

Subtracting x on both sides of the equation , we get

4y = -x + 8

Divide by 4 on both sides of the equation , we get

y = -x/4 + 2

So , the slope of the line a is m = -1/4

Line b : 2y + x = 4   be equation (2)

On simplifying the equation , we get

Subtracting x on both sides of the equation , we get

2y = -x + 4

Divide by 2 on both sides of the equation , we get

y = -x/2 + 2

So , the slope of the line a is m = -1/2

Line c : 2y = -3x + 6   be equation (3)

On simplifying the equation , we get

Divide by 2 on both sides of the equation , we get

y = -3x/2 + 3

So , the slope of the line a is m = -3/2

Now , the slopes of the lines are not same

Hence , the lines are not parallel

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Answer:

We know that Zendaya is going to invest $330 and leave it in an account for 19 years, and she wants to end up with $1,060 after 19 years.

The interest is compounded quarterly, which means that the interest is added to the principal and then becomes part of the new principal four times a year.

To find the interest rate, we can use the formula:

A = P(1 + r/n)^(nt)

Where A is the final amount, P is the principal, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

We can re-arrange the formula to get the interest rate

r = (A/P)^(1/nt) - 1

We can plug in the known values:

r = (1060/330)^(1/19*4) - 1

r = 1.0920 - 1 = 0.0920 or 9.20%

To the nearest hundredth of a percent the interest rate is 9.20%

The rate of compound interest is given by R = 6.189 %

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the rate of interest be represented as R

Let the principal amount be P = $ 330

Let the number of years be T = 19 years

Now , the amount after 19 years is A = $ 1060

where the compound interest is done quarterly

So , R = n [ ( A / P ) 1 / nt - 1 ]

On simplifying , we get

R = 4 x [ ( 1,060.00 / 330.00 ) 1 / ( 4 ) ( 19 ) - 1 ]

R = 0.0618912

Multiply by 100 , we get

R = 6.189 %

Hence , the rate of interest is 6.189 %

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interest rate- 4%, monthly payment- $275.96, total payment- $16,556.51

interest rate- 6%, monthly payment- $292.65, total payment- $17,359.22

interest rate- 8%, monthly payment- $310.74, total payment- $18,244.54

interest rate- 10%, monthly payment- $329.51, total payment- $19,370.40

What does money interest mean?

You pay interest on any loans or borrowings of money. the portion of the loan's value that lenders use to calculate interest. Consumers can earn interest by lending money (via a bond or certificate of deposit, for example), or by putting money into an interest-bearing bank account.

To calculate the monthly payment and total payment, you can use the following formulas:

Monthly Payment: (loan amount * interest rate) / (1 - (1 + interest rate)^-n)

Total Payment: Monthly Payment * number of payments

Where the loan amount is 14450, the interest rate is the percentage given, n is the number of payments (12*5) and the interest is compounded monthly.

Keep in mind that all the values are approximate, and these calculations are based on the assumption that all payments are made on time and there are no additional charges or fees. It's important to check with the lender to get exact numbers and terms of the loan.

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This depends on the mode of transport. If travelling by car, it could take 3 to 4 hours. If travelling by bus, it could take 5 to 6 hours. If travelling by train, it could take 4 to 5 hours.

1. Determine the mode of transport.

2. Calculate the average speed of the transport.

3. Calculate the total time by dividing the total distance by the average speed.

4. Determine the estimated time for the journey.

The time it takes to travel 250km depends on the mode of transport being used. For example, travelling by car would require an average speed of around 80km/h and would take approximately 3 to 4 hours. Travelling by bus would require an average speed of around 50km/h and would take 5 to 6 hours. Travelling by train would require an average speed of around 70km/h and would take around 4 to 5 hours. Calculating the total time for the journey is as simple as dividing the total distance by the average speed. Once the average speed and total distance are known, the total time for the journey can easily be determined.

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Expressions that are equivalent to 7(2 - 3n) are 14 - 21n and (2 - 3n). 7

1. 14 - 21n is equivalent to 7(2 - 3n) because we can distribute the 7 to the 2 and -3n in the expression, 7(2 - 3n) = 72 - 73n = 14 - 21n.

2. (2 - 3n). 7 is equivalent to 7(2 - 3n) because it can be changed by the distributive property, (2 - 3n). 7 = 2. 7 - 3n. 7 = 14 - 21n

All the other expressions are not equivalent to 7(2 - 3n) because they don't follow the distributive property and some of them don't have the same coefficients.The distributive property is a mathematical property that states that for any two numbers a and b, and for any third number c, the following equation holds true: a(b + c) = ab + ac. This property is also known as the distributive law of multiplication over addition. The distributive property is used to simplify expressions by breaking them down into smaller parts that can be calculated separately and then combined again.

Therefore, Expressions that are equivalent to 7(2 - 3n) are 14 - 21n and (2 - 3n). 7

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Answer:

2000 BCE

Step-by-step explanation:

The larger the BCE year, the older, so in this case, your answer is 2000 BCE.

Answer:

Step-by-step explanation:

Hi! We are currently in CE.  CE is after BCE.  The further left you go on the timeline means the earliest date.  If it starts first, then it is the oldest.  Hope this helps!

23/4 is the correct answer for your question

Answer:

[tex]\frac{23}{4}[/tex]

Step-by-step explanation:

First, since the fraction part of 5 3/4 ( 3/4 ) the denominator or the bottom number will be the bottom of the fraction.. :

[tex]\frac{x}{4}[/tex]

Now lets multiply 5x4=

20…

Now remember that the original number was 5 3/4, well since there was a 3 on top of the 4 ( or the numerator ) were gonna add:

20+3=

23…

Put 23 on top of 4..

[tex]\frac{23}{4}[/tex]

Boom! There you go!

The domain of this function is {-2, 2, -4, 4} and the range of this function is {-2, 0}.

What is the domain and range of the function?

The domain of a function is the set of all possible input values (x-values) for which the function is defined. It is the set of all values for which the function produces a valid output (y-value). In other words, it is the set of all x-values that can be plugged into the function without causing an error.

The range of a function is the set of all possible output values (y-values) that the function can produce, given any input value from the domain. It is the set of all possible y-values that can be obtained by plugging different x-values from the domain into the function.

The domain and range of a function is the set of all possible input and output values of the function.

In this case, the function is represented by a set of ordered pairs (-2 , -2) (2 , -2) (-4 , 0) (4 , 0).

The domain of the function is the set of all possible x-values which are: -2, 2, -4, 4.

The range of the function is the set of all possible y-values which are: -2, 0.

Hence, the domain of this function is {-2, 2, -4, 4} and the range of this function is {-2, 0}.

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The required explanation to deal with system of three equations with no solution is described.

By employing a series of steps that compels one variable to be deleted, a system of three equations in three variables can be solved. Change the order of the equations, multiply both sides of an equation by a nonzero constant, and combine a nonzero multiple of one equation with another equation are the steps in this process.

I) The system is said to be consistent and will have infinite solutions if the values of x, y, and z in terms of t fulfil the third equation.

(ii) The system is considered to be inconsistent and will not have a solution if the values of x, y, and z do not meet the third equation.

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