2 Select the correct answer. Estimate the value of . A. 0.33 B. 0.50 C. 0.67 D. 2.0

Answer:

1.  (-1, -3)

2.  y = x - 5

Step-by-step explanation:

To find the values of a where the point (a, 3a) is a distance of 5 units from P(2, 1) use the distance formula.

\(\boxed{\begin{minipage}{7.4 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where:\\ \phantom{ww}$\bullet$ $d$ is the distance between two points. \\\phantom{ww}$\bullet$ $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}\)

Given values:

Substitute the given values into the distance formula and solve for a:

\(\begin{aligned}\sqrt{(a-2)^2+(3a-1)^2}&=5\\(a-2)^2+(3a-1)^2&=25\\a^2-4a+4+9a^2-6a+1&=25\\10a^2-10a-20&=0\\a^2-a-2&=0\\a^2-2a+a-2&=0\\a(a-2)+1(a-2)&=0\\(a+1)(a-2)&=0\\\\a+1&=0 \implies a=-1\\a-2&=0 \implies a=2\end{aligned}\)

Substitute the found values of a into the point coordinate formula, (a, 3a):

\(a=-1 \implies (-1,-3)\)

\(a=2 \implies (2, 6)\)

As the point is in the third quadrant, this means that the x and y coordinates are negative.

Therefore, the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 units from P (2, 1) is:

\(\large\boxed{(-1, -3)}\)

\(\hrulefill\)

The perpendicular bisector of segment AB is the line that passes through the midpoint of AB and is perpendicular to AB.

To find the midpoint of AB, use the midpoint formula.

\(\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}\)

Let (x₁, y₁) = A = (-6, 3)

Let (x₂, y₂) = B = (8, -11)

Substitute the values into the midpoint formula:

\(\text{Midpoint of $AB$}=\left(\dfrac{8-6}{2},\dfrac{-11+3}{2}\right)=\left(1,-4\right)\)

Therefore, the midpoint of AB is (1, -4).

To find the slope of AB, use the slope formula.

\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-11-3}{8-(-6)}=\dfrac{-14}{14}=-1\)

The slope of a line that is perpendicular to AB is the negative reciprocal of the slope of AB.

Therefore, the slope of the line perpendicular to AB is m = 1.

To determine the equation of the perpendicular bisector of AB that passes through the midpoint of AB and is perpendicular to AB, substitute the found slope, m = 1, and the midpoint (1, -4) into the point-slope formula:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-(-4)=1(x-1)\)

\(\implies y+4=x-1\)

\(\implies y=x-5\)

Therefore, the formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector "l" of segment AB is:

\(\large\boxed{y=x-5}\)

Answer:

x = 29

36=-4(20-x)

9=-(20-x)

9=-20+x

-x+9=-20

-x=-20-9

-x=-29

x=29

Answer:

D. x + 1

Step-by-step explanation:

The expression\( \frac{x^2+3x+2}{x+2} \) can be simplified as follows:

\(x^2 + 3x + 2 \)

Doing middle term factorisation

\(= x^2+(2+1)x+2\)

\(=x^2+2x+1x+2\)

\(=(x + 2)(x + 1)\)

Again

Dividing both side by x+2.

\(\frac{x^2 + 3x + 2}{x + 2} = \frac{(x + 2)(x + 1)}{x + 2}\)

we get

\(\frac{x^2 + 3x + 2}{x + 2}= x + 1\)

Therefore, the expression

\(\frac{x^2+3x+2}{x+2}\) is equivalent to D. x + 1.

Note that the expression is only equivalent to x + 1 when x is not equal to -2. If x = -2, then the expression is undefined.

Answer:

i think it may be A.1 or E.5

Step-by-step explanation:

sorry if this is wrong

Answer:

8 feet by 4 feet by 3 feet

3 feet by 5 feet by 7 feet

Step-by-step explanation:

8 feet by 4 feet by 3 feet

A = 2(wl + hl + hw)

A = 2 · (4 · 8 + 3 · 8 + 3 · 4)

A = 136

3 feet by 5 feet by 7 feet

A = 2(wl + hl + hw)

A = 2 · (5 · 3 + 7 · 3 + 7 · 5)

A = 142

Answer:

5.04 centimeters= 16.128 meters

Step-by-step explanation:

Answer:

16.128 meters

Step-by-step explanation:

if one centimeter is 3.2 meters you take the 5.04 centimeters and multiply it by 3.2

To find the slope of the line given the points (0,2) and (1,0), we can use the formula: m = (y2 - y1) / (x2 - x1).

m = (0 - 2) / (1 - 0) = -2

Using point-slope form, we can write the equation of the line as:

y - 2 = -2 (x - 0)

y = -2x + 2

To get the inequality we just need to change the equation to the inequality by replacing the equal sign with the inequality sign.

So the linear inequality for the points (0,2) and (1,0) is:

y >= -2x + 2

Answer:

The total number of ways to choose 2 students from a class of 16 is given by the combination formula:

C(16,2) = 16! / (2! * (16-2)!) = (1615) / (21) = 120

This means there are 120 possible pairs of students that could be drawn.

The probability of you and your best friend being chosen is the number of ways that you and your friend can be selected divided by the total number of possible pairs. There is only 1 way to select you and your best friend out of the class of 16, so the probability is:

P(you and your best friend are chosen) = 1/120

Therefore, the probability that you and your best friend will be chosen is 1/120. Option (B) is the correct answer.

Answer:

The probability of choosing one specific student out of 16 is 1/16. After one student is chosen, there are 15 students left, so the probability of choosing the second specific student out of the remaining 15 is 1/15. The probability of both events happening is the product of the probabilities: (1/16) x (1/15) = 1/240. However, there are two ways that the students can be chosen (your friend first, then you or you first, then your friend), so we need to multiply the probability by 2: 2 x (1/240) = 1/120. Therefore, the probability of you and your best friend being chosen is 1/120. Answer: 1/120.

Answer:

x = 0

Step-by-step explanation:

The distributive property of multiplication states that a(b - c) = a(b) - a(c). We can apply that to the given equation.

3(2 - x) = 6

3(2) - 3(x) = 6 (Apply distributive property on LHS)

6 - 3x = 6 (Simplify LHS)

6 - 6 - 3x = 6 - 6 (Subtract 6 from both sides)

-3x = 0 (Simplify both sides)

\(\frac{-3x}{-3} =\frac{0}{-3}\) (Divide both sides by -3)

x = 0 (Simplify)

Hope this helps!

The expression:

can be simplified by following the steps below:

Step 1:Expand the expression

Step 2: Collect the like terms

Step 3: Simplify the expression

=>

The correct answer is option A

The answers are 4. a) 15.7 cm, b) 26.25 m, 5. a) 128.74 cm, b) 40.82 mm, c) 45 cm and 6. 777.28 cm

Given are the circles and the circular items we need to find their circumference,

Circumference of a circle = 2π × radius = Diameter × π

4. a) Circumference = 5 × 3.14 = 15.7 cm

b) Circumference = 8.36 × 3.14 = 26.25 m

5. a) Circumference = 41 × 3.14 = 128.74 cm

b) Circumference = 13 × 3.14 = 40.82 mm

c) Circumference = 14.3 × 3.14 = 45 cm

6.

The perimeter of the cloth = circumference of the circular ends plus length in the middle,

= 76 × 2 × 3.14 + 150 × 2

= 477.28 + 300

= 777.28 cm

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The volume of the solid is equal to the integral of the area of the semi-circular cross sections multiplied by the length of the interval. The area of the semi-circular cross sections is equal to πr²/2, where r is the diameter running from y. Therefore, the volume is equal to π/2∫0,9r²dy.

Step 1: Substitute the expression for the area of the semi-circular cross section into the equation for the volume of the solid:

V = π/2∫0,9r²dy

Step 2: Integrate the equation to find the volume of the solid:

V = π/2[y³/3]|0,9

Step 3: Evaluate the integral:

V = π/2(9³/3 - 0³/3)

step 4: Solve for the volume of the solid:

V = 7π/2

The volume of the solid is equal to the integral of the area of the semi-circular cross sections multiplied by the length of the interval. The area of the semi-circular cross sections is equal to πr²/2, where r is the diameter running from y. Therefore, the volume is equal to π/2∫0,9r²dy. To calculate the volume, we must first substitute the expression for the area of the semi-circular cross sections into the equation for the volume of the solid: V = π/2∫0,9r²dy. Then, we must integrate the equation to find the volume of the solid: V = π/2[y³/3]|0,9. After that, we must evaluate the integral: V = π/2(9³/3 - 0³/3). Finally, we must solve for the volume of the solid: V = 7π/2. The answer is the volume of the solid is 7π/2.

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Answer:

21

Step-by-step explanation:

I did the math.

Answer:

756 divided by 36 = 21

Answer:

C

Step-by-step explanation:

Answer: 990 ways

Step-by-step explanation:

For the first chicken, there are 11 slots it could be, or 11.  For the next chicken, there are 10 available, or 10.  Same thing for the third chicken, with 9.  Thus, simply do 11*10*9 to get 990.

Answer:

I don't think I'm allowed to say that word. But it is also a discriminatory phrase used by people in the slave days.

But it's a song by Kayne

________ in Paris

Step-by-step explanation:

Answer:

guys were in Paris

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.

The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.

To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:

(1/3) x (1/10) = 1/30

So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%

Answer:

If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this

Step-by-step explanation:

The value of angle x = 56.63 degree.

In the Given figure

EF = 4.4

FD = 8

∠F = x degree

Since we know that

CosΘ = (adjacent of a)/hypotenuse

Therefore,

Cosx = 4.4/8

         = 0.55

Take inverse of cos both sides,

x = 56.63 degree

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Answer:

it is C

Step-by-step explanation:

Based on the calculations, table B shows a rate that is greater than 1 kilometre per hour.

The average rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.

Mathematically, the average rate of change can be calculated by using this formula;

The average rate of change = Δy/Δx

= Change in kilometre/Change in an hour

For Table A, we have:

Rate = kilometre/hour

Rate = (1/5)/(7/5)

Rate = 1/5 × 5/7

Rate = 1/7 kilometre per hour.

For Table B, we have:

Rate = (3/4)/(3/8)

Rate = 3/4 × 8/3

Rate = 2 kilometres per hour.

For Table C, we have:

Rate = (2/3)/(4/3)

Rate = 2/3 × 3/4

Rate = 1/2 kilometre per hour.

For Table C, we have:

Rate = (2/3)/(4/3)

Rate = 2/3 × 3/4

Rate = 1/2 kilometre per hour.

For Table D, we have:

Rate = (1/4)/(3/4)

Rate = 1/4 × 4/3

Rate = 1/3 kilometre per hour.

Therefore, table B shows a rate greater than 1 kilometre per hour.

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The binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.

To determine which binomial is a factor of the trinomial x² - 13x + 30, we need to factorize the trinomial completely.

In this case, we need to find two binomials in the form (x - a)(x - b) that satisfy the equation:

(x - a)(x - b) = x² - 13x + 30

So, (x - 3)(x - 10) = x² - 13x + 30.

Therefore, the binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.

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Answer:

\( \boxed{ \bold{ \huge{\boxed{ \sf{x = - 3.5}}}}}\)

Step-by-step explanation:

\( \sf{1(x - 2) = - 5.5}\)

Distribute 1 through the parentheses

⇒\( \sf{x - 2 = - 5.5}\)

Move -2 to right hand side and change it's sign

⇒\( \sf{x = - 5.5 + 2}\)

Calculate

⇒\( \sf{x= - 3.5}\)

Hope I helped!

Best regards!!

x is -3.5

1 (x - 2) = -5.5

Remove the brackets by dividing both sides by 1:

(x - 2) / 1 = -5.5 / 1

x - 2 = -5.5

Take -2 to the other side so that you can be left with x. When you do this, the sign will change from negative to positive:

x = -5.5 + 2

x = -3.5

x is therefore -3.5

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Answer:

s = 40 shares (# of 7.25 shares)

x = 22 shares (# of 6.50 shares)

Step-by-step explanation:

Quantity Equation:: x + s = 62 shares

Value Equation::: 6.50x+7.25s = 433 dollars

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

Modify for elimination:

6.5x + 6.5s = 6.5*62

6.5x + 7.25s= 433

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

Subtract and solve for "s":

0.75s = 30

-----

s = 40 shares (# of 7.25 shares)

x = 22 shares (# of 6.50 shares)

Hope this helps

Answer:

Step-by-step explanation:

Hello!

We want to know the area of the original circle - the now circle.

The original circle's diameter is 110 meters.

To figure out the area you use this formula: \(r^2*pi\)

The diameter is 107 meters, so the equation is \(55^2\)\(*\pi\).

The area is about 9503.3 meters.

The next area is the "now circle".

The now circle's diameter is 107 meters.

When you use this formula, you end up with  \(53.5^2*\pi\).

The area is about 8892 meters.

So it's just basic subtraction!

I'll let you figure out the rest.

:)

Formula:

C^2 =a^2 + b^2

Answer = 4.47

Nearest tenth= 4.5

The length of the third side of the triangle is 4.5 units.

The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Here, sides of triangle is AB = 4 , BC = 2

By Pythagoras Theorem,

AC² = AB² + BC²

AC² = 4² + 2²

AC² = 20

AC = √20

AC = 4.47

AC = 4.5

Thus, the length of the third side of the triangle is 4.5 units.

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Answer:

false

Step-by-step explanation:

How many gallons of a 10% solution. Would need to be added to a 20% solution to obtain 50 gallons of a 30% solution?

2.How many gallons of milk containing 4% fat is mixed with milk containg 1% fat to obtain a 15 gallon mixture containing 2% fat?

Answer:

Value Added Tax Is The Correct Answer!

Step-by-step explanation:

The Value Added Tax, or VAT, in the European Union is a general, broadly based consumption tax assessed on the value added to goods and services.

Dont Forget to Mark Thanks!

Have a good day! :)

Answer:

Value Added Tax........

Answer:

why?

Step-by-step explanation:

Answer:

..is cereal a soup?

Step-by-step explanation:

is it tho?

The solution to the given expression (x + 20 - 1) when x = 9 is: A. 28.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to evaluate the given expression and determine its solution. Therefore, we would evaluate the given expression  as follows:

x + 20 - 1

Substituting the value of x into the given expression, we have:

Expression = 9 + 20 - 1

Expression = 29 - 1

Expression = 28.

In conclusion, we can reasonably and logically deduce that 28 is the  solution to this expression (x + 20 - 1).

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Answer:

a) 28

Step-by-step explanation:

Now we have to,

→ evaluate the expression.

The expression is,

→ x + 20 - 1

Solving the expression,

→ x + 20 - 1

→ 9 + 20 - 1

→ 9 + 19

→ 28

Hence, solution is 28.

Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

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Answer:

I am confused but my best guess would be you would earn 54$ for 3 lawns and 162 for 9

Step-by-step explanation:

You multiply 3 x 18 and 9 x 18

Im sorry if im wrong but i dont know what you were asking