n×50=5,000 explain solution.​

The value of x and y that allows these two triangles to be congruent is

(-12, 11)

The congruence of two or more triangles is determined by the measurements of their sides and angles. The three sides of a triangle determine its size, and the three angles determine its shape.

Two triangles are said to be congruent if the pairs of their corresponding sides and angles are equal. They are the same size and shape. Triangles have numerous congruence conditions.

Here we will use translation to find out units of displacements

If the triangle is congruent then vertices are of same shape too which means coordinate of first triangle will give us coordinate of second triangle

The coordinates of 1st vertices of traingle1 = (5, 4), x = 5, y = 4

The coordinates of 1st vertices of traingle2 = (1, 6), x = 1, y = 6

By subtracting,

translation x = 5 - 1 = 4

translation y = 4 - 6 = -2

Thus the vertices of other triangles are translated 4 units left and 2 units up. Same goes for second vertices

-4 - 4 = 8

6 + 2 = 8

And the same will go for the last vertices (-8, 9) that is

-8 - 4 = -12

9 + 2 = 11

The value of x and y that allow these two triangles to be congruent is (-12, 11)

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Answer:

9

Step-by-step explanation:

[tex]-3 \leq -3 <4 \implies f(-3)=2(-3)^2-9=9[/tex]

The next three terms in the geometric sequence will be 24, 48 and 96.

We are given a geometric sequence:

3, 6, 12 …

We need to find the next 3 terms of the sequence.

We can see that:

a = initial term of the sequence

a = 3

r = common ratio between the consecutive terms.

r = 6 / 3 = 2

Now, nth term will be represented by:

aₙ = a rⁿ⁻¹

Substituting the values of a and r in the formula, we get that:

aₙ = 3 (2)ⁿ⁻¹

Now, the 4th term will be ( put n = 4)

a₄ = (3) (2)⁴⁻¹

a₄ = (3) (2)³

a₄ = (3) × (8)

a₄ = 24

The 5th term will be: (put n = 5)

a₅ = (3) (2)⁵⁻¹

a₅ = (3) (2)⁴

a₅ = (3) × (16)

a₅ = 48

6th term will be: (put n = 6)

a₆ = (3) (2)⁶⁻¹

a₆ = (3) (2)⁵

a₆ = (3) × (32)

a₆ = 96

Therefore, the next three terms in the geometric sequence will be 24, 48 and 96.

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Your question was incomplete. Please refer the content below:

The first three terms of a geometric sequence are 3, 6, 12. What are the next three terms?

The length of this cable to the nearest tenth of a block will be 6.3 blocks.

Let one point be (x, y) and another point be (h, k). Then the distance between the points will be

D² = (x - h)² + (y - k)²

A map of a small town identifies the town square as the origin (0,0). Each block along a street is represented by one unit along the x- or y-axis. The ice cream shop is at (5. 4) and the grocery store is at (3.-2).

To speed up deliveries, the grocer plans to set up an overhead delivery wire that runs directly between the grocery store and the ice cream parlor.

The length of this cable to the nearest tenth of a block will be

[tex]D² = (5 - 3)² + (4 + 2)²D² = 2² + 6²D² = 4 + 36D² = 40[/tex][tex]D^2 = (5 - 3)^2 + (4 + 2)^2\\D^2 = 2^2 + 6^2\\D^2 = 4 + 36\\D^2 = 40[/tex]

D = 6.3 blocks

Therefore, The length of this cable to the nearest tenth of a block will be 6.3 blocks.

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The length of this cable to the nearest tenth of a block will be 6.3 blocks.

Let one point be (x, y) and another point be (h, k). Then the distance between the points will be

D² = (x - h)² + (y - k)²

A map of a small town identifies the town square as the origin (0,0). Each block along a street is represented by one unit along the x- or y-axis. The ice cream shop is at (5. 4) and the grocery store is at (3.-2).

To speed up deliveries, the grocer plans to set up an overhead delivery wire that runs directly between the grocery store and the ice cream parlor.

The length of this cable to the nearest tenth of a block will be

[tex]D^2 = (5 - 3)^2+(4+2)^2\\D^2 = 2^2 +6^2\\D^2 = 4 +36\\D^2 = 40[/tex]

D = 6.3 blocks

Therefore, The length of this cable to the nearest tenth of a block will be 6.3 blocks.

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Answer:

[tex]\dfrac{\text{d}y}{\text{d}x} =15x^4+45x^8[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4.8 cm}\underline{Differentiating $ax^n$}\\\\If $y=ax^n$, then $\dfrac{\text{d}y}{\text{d}x}=nax^{n-1}$\\\end{minipage}}[/tex]

[tex]\textsf{Differentiate $y$ with respect to $x$}:[/tex]

[tex]\begin{aligned}y & = 3x^5+5x^9\\\\\implies \dfrac{\text{d}y}{\text{d}x} & = 5 \cdot 3x^{5-1}+9 \cdot 5x^{9-1}\\\\& = 15x^4+45x^8\end{aligned}[/tex]

[tex]\textsf{Therefore, the derivative of $y$ with respect to $x$ is: $\dfrac{\textrm{d}y}{\textrm{d}x} =15x^4+45x^8$}[/tex]

Answer:

  $433

Step-by-step explanation:

You want the average cost per student for an enrollment of 350 students as interpolated from a table of enrollments and costs.

There are a number of ways the cost table might be interpolated. The one used here is to use quadratic regression to write a formula for the cost as a function of enrollment. Then the function value for 350 students is found. This is all accomplished using a graphing calculator, as shown in the attachment. The interpolated value for an enrollment of 350 students is $433 per student.

Another method of interpolation could use linear interpolation between the two nearest points. Our enrollment of interest, 350, is halfway between 250 and 450, so the cost per student could be estimated to be halfway between 473 and 411:

  cost per student = (473 +411)/2 = 442 . . . dollars per student

We know this estimate is a bit high, because the cost function is concave upward. A straight line between two points on the curve will lie above the curve.

Other methods of interpolation will give other values. A cubic interpolating function gives a value of $428 per student.

Answer: x=26 degrees

Step-by-step explanation:

90+x+64=180 ==> A right angle, x, and 64 lie on a straight line. Straight lines add up to 180 degrees and are called straight angles. Right angles are denoted with a tiny square inside them and measure 90 degrees.

90-90+x+64=180-90

x+64=180-90

x+64=90

x+64-64=90-64

x=90-64

x=26 degrees

Answer:

[tex]y=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]

Step-by-step explanation:

Given equation:

[tex]\pi=7x-2y[/tex]

To isolate y, add 2y to both sides:

[tex]\implies\pi+2y=7x-2y+2y[/tex]

[tex]\implies\pi+2y=7x[/tex]

Subtract π from both sides:

[tex]\implies\pi+2y - \pi=7x- \pi[/tex]

[tex]\implies 2y=7x- \pi[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]

[tex]\implies y=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]

This can also be written as a rational function:

[tex]\implies y=\dfrac{7x- \pi}{2}[/tex]

Answer:

y = (-π + 7x)/2

Step-by-step explanation:

Now we have to,

→ find the required value of y.

The equation given is,

→ π = 7x - 2y

Then the required value of y will be,

→ π = 7x - 2y

→ -2y = π - 7x

→ y = (π - 7x)/(-2)

→ [ y = (-π + 7x)/2 ]

Hence, the equation is (-π + 7x)/2.

The point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

In this question we have been given a graph of Skateboards vs. Bikes.

We need to find the point that represents an INEFFICIENT point of production.

Inefficient production means the economy can be producing more goods without using any additional resources.

In given production possibility curve, an INEFFICIENT point of production is point A.

Therefore, the point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

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90 in²

Area is the amount of space a 2-D shape occupies.

Area Formula

As stated above, the area of a triangle is [tex]\frac{1}{2}bh[/tex]. When solving for area, it doesn't actually matter which side is the base. You just have to remember to take the height perpendicular to the base you use. Since this is a right triangle, the height is the same as one of the legs. For the purpose of this question, I will use 12 as the base and 15 as the height. Because the 12 and 15 sides are perpendicular to each other, we can plug them into the formula for b and h.

Solving For A

Now we can just plug 12 and 15 in and solve.

The area of the triangle is 90 in².

1. Yes. This is the equation of a lihe.

2. Yes. See 1.

3. No. This is the equation of a circle, which fails the vertical line test.

Answer:

Step-by-step explanation:

The answer choice which is dissimilar to the other three as given in the task content is Choice 3; AD6.

It follows from the task content that the answer choice which is dissimilar to the rest of the answer choices be identified.

From observation, the letters of the alphabet are assigned numbers and the sums are determined such as follows;

The answer choice which is dissimilar to the other three as given in the task content is Choice 3; AD6.

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Answer:

4:5

Step-by-step explanation:

Boys: 20  Girls: 25

        ÷5             ÷5

       ------          ----------

          4                 5

For every 4 boys, there are 5 girls

I hope this helps!

Answer:

variable

Step-by-step explanation:

Like terms are the terms that contain same variables raised to the same power, the coefficients need not be same. For example, 7x and 2x are like terms because both terms contain same variable "x".

Answer:

different from players, yes

0.48

Step-by-step explanation:

To find the gradient when given points, label one of the x points as X2 and the other x1 ( it could be anyone of them: 3 could be X2 and 6 x1 or vise versa) and do the same with the y points, doesn't matter which one is y2 or y1.

But bare in mind, if you used the first coordinate x as x1 you must used the y coordinate as the y1. you must use the same order. so if you used X2 for second coordinate use y2 for the y point of the second coordinate.

Now set up the formula: x2-x1/y2 -y1

=( 3-6)/((-1)-5.2/

=0.48

$ 53,136 is  total contribution margin .

What is contribution format income?

Requirement of the question is missing which is as follows

"If the company sells 4,100 units, its total contribution margin should be closest to"

Following answer is made accordingly.

Sales (  97,200 / 3600) * 4100                                     110700

Variable expenses ( 50,544 / 3600) * 4100                 57564

Contribution margin                                                       53136

Fixed expenses                                                             37,300

Net operating income                                                     15836

The revised Contribution margin is $ 53,136 and Net Operating Profit is

$15836 if company sells 4100 units.

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The water in gallons to entirely fill the swimming pool is 51705.344 gallons.

For the given question;

The volume of the pool = 256 yd³.

Convert the volume in yd³ in gallons.

1 yd³ = 201.976 gallons.

Thus, for the total volume of 256 yd³ multiply both side with 256.

1×256 yd³ = 201.976×256 gallons.

256  yd³ = 51705.344  gallons.

Therefore, the water in gallons requires to completely fill the swimming pool is 51705.344 gallons.

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Answer: 54.55%

Step-by-step explanation:

Answer:

54.5%

Step-by-step explanation:

Fraction to percent: numerator divided by denominator times 100 and add the percent sign.

Answer:

Can't help

Step-by-step explanation:

The conjecture about the backpack sales in June is that less than 8,000 backpacks were sold

From the graph, the number of backpack sales in June is not represented on the graph

The last month represented on the graph is May

On the vertical axis of the graph, the number of backpack sales that corresponds to the month of May is between 8,000 and 8,5000

By looking at the trend,

This means that the number of backpack sales in the month of June is less than the number of backpack sales in the month of May

Hence, the conjecture about the backpack sales in June is that less than 8,000 backpacks were sold

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The conjecture about backpack sales is that June sales will be less than 8,000 units.

A conjecture is a mathematical statement without proof. Instead, conjectures survive on some existing patterns.

The existing patterns show that backpack sales peaked in November but deteriorated or decreased steadily every month.

For instance, in November, the backpack sales were 11,000 units but 10,250 in January. It reduced to 8,750 in March.

However, following the end of the Easter holidays, backpack sales may increase from May. But this prediction does not agree with the trend.

Thus, the conjecture about backpack sales is that June sales will be less than 8,000 units.

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Answer:

The answer is C.

Step-by-step explanation:

We know that the first term is the diamond and the circle so its repeating so that gives you your final answer of C.

There is none of these numbers are divisible by 9 and the required number is 474 divisible by 3 which the correct answer would be an option (D)

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

The sum of the digits should be divisible by 9

⇒ 474 : (4+7+4=15, and again, 1+5=6)

This number is not divisible by 9

⇒ 127  : (1+2+7=10, and again, 1+0=1)

This number is also not divisible by 9

⇒ 907  : (9+0+7=16, and again, 1+6=7)

This number is also not divisible by 9

The sum of the digits should be divisible by 3

⇒ 474 : (4+7+4=15, and 15÷3 = 5)

This number is divisible by 3

⇒ 127  : (1+2+7=10, and 10÷3 = 3.333)

This number is not divisible by 3

⇒ 907  : (9+0+7=16, and  16÷3 = 5.333)

This number is not divisible by 3

There is none of these numbers are divisible by 9 and the required number is 474 divisible by 3 which the correct answer would be an option (D)

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The question seems to be incomplete the correct question would be

(a) Which numbers are divisible by 9?

(A). 474

(B). 127

(C). 907

(D). None of these

(b) Which numbers are divisible by 3?

(A). 474

(B). 127

(C). 907

(D). None of these

Step-by-step explanation: I hope this helps. the blue, and the purple are in the same line with the green.

Answer:

Answer:

1.29 take the cost and divided by each water bottle and that’ll give you how much each water bottle cost in a pack

Step-by-step explanation:

Answer:

a stays the same but cb cahanges

Step-by-step explanation:

The solution of the equation will be -7.46 and -0.54.

Let the equation be ax² + bx + c = 0. Then the roots of the equation will be

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]

The quadratic equation is given below.

(4/2)x + 1 + (1/4)x² - 1 = 1

Simplify the equation, then we have

(4/2)x + 1 + (1/4)x² - 1 = 1

2x + 1 + (1/4)x² = 0

x² + 8x + 4 = 0

Then the solution of the equation is given as,

[tex]\rm x = \dfrac{-8 \pm \sqrt{8^2 - 4 \times 1\times 4 }}{2 \times 1}\\[/tex]

Simplify the equation, then we have

x = [-8 ± √48] / 2

x = [-8 ± 4√3] / 2

x = -4 ± 2√3

x = - 4 ± 3.46

x = -7.46, -0.54

The solution of the equation will be -7.46 and -0.54.

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Answer:

- 7x ² -x +10

Step-by-step explanation:

⇒Given

10-x- 7x ²

⇒We have a polynomial of second degree that has the standard from ax²+bx+c

⇒Rearrange the terms of the polynomial to match the standard form

- 7x ² -x +10