Solve the following system of inequalities graphically on the set of axes below.
State the coordinates of a point in the solution set.
y≥-x+3
y > 2x - 6

Answer: yes

Step-by-step explanation:

7^2+24^2 = 625

[tex]\sqrt{625}[/tex] = 25

On solving the provided question we cans ay that  the half life of the given exponential growth  radioactive isotope will be 3.2894067399  years.

The process of quantity growth over time is called exponential growth. occurs when the rate at which a quantity changes instantaneously with time is proportionate to the quantity itself. A data pattern that shows bigger increases with time is known as exponential growth. Compound interest yields exponential rewards in the world of finance. Savings accounts with compound interest sometimes see exponential growth. characterized by an extremely fast exponential growth rate rise (in size or extent). exponentially. The exponential function has the formula f(x)=abx where a and b are positive real values. Sketch exponential functions using the app below for different values of a and b. Describe verbally how modifying a and b changes the graph's form.

Here, Element X starts with 490 grams

After 1 year we have  (490 X 0.81 grams) or 396.9 grams

Now, We can solve for half-life by this equation:

Half life = (time  X log 2) / log (beginning amount / ending amount)

Half-life = (1 year X 0.30102999566) / log (490 / 396.9)

Half life = (1 year X 0.30102999566) / log (1.2345679012 )

Half life = (0.30102999566) / 0.091514981109

Half-Life = 3.2894067399  years

Thus, the half life of the given exponential growth  radioactive isotope will be 3.2894067399  years.

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Answer: They took away 5%

Step-by-step explanation:

If you get 50 and the you have  40 you get 5%

Answer: Yes, but it's extremely hard to find

Step-by-step explanation:

The echo number 20222022202220222022 is the perfect square of 4496890281.

What echo number is a perfect square

An echo number has a perfect square if its square root is also a natural number. After some iterations we found that echo number 20222022202220222022 is a perfect square:

The echo number 20222022202220222022 is the perfect square of 4496890281.

The perimeter of the rectangle is (23.5y + 1) feet.

The perimeter of the rectangle formula:

The perimeter = the width + the length + the width + the length

The perimeter = 2 × (the width + the length)

The perimeter = 2 × ((4.25y - 7.5) + (7.5y + 8))

The perimeter = 2 × ((4.25y + 7.5y) + (- 7.5 + 8)

The perimeter = 2 × (11.75y + 0.5)

The perimeter = 23.5y + 1

So, the perimeter of the rectangle is (23.5y + 1) feet.

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The number of ways of obtaining exactly one Democrat is 504

We are choosing 6 committee members, and exactly 1 of them must be a Democrat, which leaves 5 members to be selected from the Republicans. The number of ways to select 5 Republicans from 9 Republicans is 9 choose 5, which is 9! / (5! * (9-5)!).

Therefore, the total number of ways to form a committee with exactly 1 Democrat and 5 Republicans is 4 * (9 choose 5) = 4 * 126 = 504. or

There are a total of 13 members (4 Democrats and 9 Republicans), so the number of combinations that can be chosen is 13C6, or 1716. Since we are looking for a committee with exactly one Democrat, we need to subtract the total number of combinations with no Democrats (9C6, or 84) from the total number of combinations, giving us 1716-84 = 504 ways of obtaining exactly one Democrat.

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Your question is incomplete but probably the full question was:

A committee of six Congressmen will be selected from a group of four Democrats and nine Republicans. What is the number of ways of obtaining exactly one Democrat?

The fence surrounds a square yard with an area of 64 square meters. We first have to find length of fence and then multiply it by itself.

Given that it took 48 square meters of lumber to build the fence, and the fence is 1.5 meters tall, we can calculate the area of the yard inside the fence. To do this, we need to determine the total length of the fence. If we assume that the fence is built around a square yard, then the length of each side of the yard will be equal to the total length of the fence divided by 4.

Let's call the length of each side of the yard x. Then, the area of the yard inside the fence is x * x, or x^2. The total length of the fence is 4 * x. Since the fence is 1.5 meters tall, the total area of the lumber used to build the fence is 4 * x * 1.5, or 6x. This is equal to 48 square meters, so we have the equation:

6x = 48.

Solving for x,

x = 8.

Therefore, each side of the yard is 8 meters long.

Area of the yard inside the fence = 8 * 8 = 64 square meters.

This means that the fence surrounds a square yard with an area of 64 square meters.

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(a) The scale factor from shape A to shape B is 3/4.

(b) The value of w is 21/4 cm.

A scale factor is the ratio of the new object to a given original object.

For example,

The scale factor is A : B.

We have two similar trapezoid as shown in the picture.

Find (a) the scale factor from shape A to shape B, and (b) the value of w!

The scale factor from shape A to shape B can be determined by analyzing one of the side length. We can take the longest side of the trapezoid.

Scale factor = 9/12 = 3/4

The value of w side is correspond to 7. So,

w/7 = 3/4

w = 3/4 × 7

w = 21/4 cm

Hence, the scale factor is 3/4 and the value of w is 21/4 cm.

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Answer: Female caribou have a wide range of weight. They can average anywhere from 51 (3 x 17) to 156 (2 x 2 x 3 x 13) kg.

Step-by-step explanation:

The equation be Sin A(cos A + sin A tan A) then the trigonometric identities be tan (A).

Trigonometric Identities are equality conditions that apply to all values of the equation's variables and which require trigonometry functions. There are numerous unique trigonometric identities that involve both the side length and angle of a triangle.

Trigonometry equations known as trig identities are used frequently to solve trigonometry and geometry problems and comprehend a variety of mathematical facts. Understanding and remembering fundamental mathematical concepts and resolving a variety of math issues are made easier by having a solid understanding of key trig identities.

Let the equation be Sin A(cos A + sin A tan A)

Express with sin, cos

[tex]$=\frac{\left(\cos ^2(A)+\sin ^2(A)\right) \sin (A)}{\cos (A)}$$[/tex]

Rewrite using trig identities

= tan (A)

Therefore, the equation be Sin A(cos A + sin A tan A) then the trigonometric identities be tan (A).

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Answer:

Math ba yan? Wala ba diyan example kung pano i solvee yan?

Step-by-step explanation:

11 cm

assuming all sides angles are right angles, opposing sides are equal in length or total length.

top bottom.

x = 5 +6 = 11

x = 11 cm

Answer:

approximately 33.2%

Step-by-step explanation:

Find Zachary's commission by subtracting his basic salary from total monthly earnings.

Commission = 4236 - 700

                     =  $ 3536

[tex]\sf rate \ of \ commission = \dfrac{commission}{total \ sales}*100[/tex]

                             [tex]\sf = \dfrac{3536}{10654}*100\\\\ = 33.19 \%\\ = 33.2 \%[/tex]

The answer 2x power of 2 + 3x + 1. Therefore, the answer of the equation is x = 2.

Equation:

An equation is a mathematical operator that contains two algebraic expressions on either side of an equals (=) sign. Shows the equivalence between the expression written on the left and the expression written on the right. Every equation in mathematics has L.H.S = R.H.S (left = right). We can solve an equation to find the value of an unknown variable that represents an unknown quantity. If an expression does not have an equal sign, it is not an equation. This is considered an expression.

Now,

It has been given that

[tex]\frac{2^{3x-1} +10}{7} = 6[/tex]

Cross multiplying, we get

[tex]2^{3x-1} +10 = 42[/tex]

Subtract 10 to both sides

[tex]2^{3x-1} = 32[/tex]

Write 32 in exponent form

[tex]2^{3x-1} = 2^{5}[/tex]

Since, base of both sides of the equation is 2. Hence, the exponent must be equal.

   3x - 1 = 5

⇒ 3x = 6

⇒ x = 2

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We have solution as:

z =z and y -8-z

The solution set is

x=9, y = -8-z, w = 1, z = z

Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements. A matrix is a rectangular arrangement of numbers into rows and columns. For example, matrix A has two rows and three columns.

The augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations.

[ 1 0 0 0 | -9 ]

[ 0 1 1 0 | -8 ]

[ 0 0 0 1 | 1 ]

We find that this is a rectangular matrix 3 rows and 4 columns

i.e. the variables are four but independent equations are only 3.

So only parametric equations can be found out

First row gives x = -9

Last row gives w = 1

II row gives y + z =-8 and we do not have any other equation in y or z

Hence we have solution as:

z =z and y -8-z

The solution set is

x=9, y =-8-z, w =1, z=z

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The given question is incomplete, complete question is :

Given that the augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations. Determine whether the system has a solution and find the solution(s) to the system, if they exist.

[ 1 0 0 0 | -9 ]

[ 0 1 1 0 | -8 ]

[ 0 0 0 1 | 1 ]

A) x=-9, y=-8, z=-8, w=1

B) No solution.

C) x=-9, y=-8, z=1

D) x=-9, y=-8+z, w=1, z=any real number

E) z=-9, y=-8-z, w=1, z=any real number

F) None of the above.

The measure of angle m∠Y as required to be determined given that the two angles S and Y are complementary is; 40°.

As evident in the task content; ∠S and ∠Y are complementary.

Therefore; m∠S + m∠Y = 90°.

Also, since; m∠S = 3(m∠Y) − 70°.

By substitution;

3(m∠Y) − 70° + m∠Y = 90°

4m∠Y = 160°

m∠Y = 40°.

Ultimately, the measure of angle Y as required is; m∠Y = 40°.

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It is possible to design any statistical learning problem to minimize predicted loss. All data examples in problem 1 correspond to supervised learning.

What is supervised learning?

The use of labelled datasets distinguishes the machine learning strategy known as supervised learning. These datasets are intended to "supervise" or "train" algorithms to correctly classify data or forecast outcomes. Labeled inputs and outputs allow the model to monitor its precision and improve over time.

When using data mining, supervised learning may be divided into two categories: classification and regression.

Using an algorithm, classification issues correctly categories test data into distinct groups, such as distinguishing apples from oranges.

Another supervised learning technique that employs an algorithm to comprehend the link between dependent and independent variables is regression.

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Correct question:

What type of statistical learning do all data examples supervised or unsupervised?

The number of pack Jill needs is 7.

The diagram shows the floor plan of Jill's dining room. Jill is going to cover the floor with wooden floorboards. The floorboards are sold in packs. One pack of floorboards will cover 2.25 m². Therefore, the number of packs Jill needs can be calculated as follows;

Therefore, let's find the area of the floor.

area of the floor  = area of the first rectangle + area of the second rectangle

area of the first rectangle = 3 × 2

area of the first rectangle = 6 m²

area of the second rectangle = 4.5 × 2

area of the second rectangle = 9 m²

area of the floor  = 15 m²

Therefore,

2.25 m² = 1 pack

15 m² = ?

cross multiply

number of pack = 15 / 2.25

number of pack = 6.66666666667

Therefore,

number of pack ≈ 7

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The area of the combined figure is  98.64 sq cm and the perimeter of the combined figure is 91.88 cm.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, The area of a triangle is (1/2)×base ×height and the area of the semicircle is (1/2)πr².

Also, the perimeter of a triangle is the sum of the lengths of all the sides and the perimeter of a semicircle is πr.

From the given figure The right angle triangle is an isosceles therefore, The length of the side BC is also 12 units.

Hence the area is = (1/2)×12×12 = 72 sq cm.

And The area of the semicircle is,

(1/2)×π×(√12² + 12²) sq cm.

= (1/2)×3.14×√(288) sq cm.

= 26.64 sq cm.

Therefore, The total area is (72 + 26.64) sq cm.

= 98.64 sq cm.

And the perimeter is,

= (12 + 12 + 16.97) + (3.14×16.97) cm.

= 91.88 cm.

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Meg has drive 390 miles to visit Grandma.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are Given Number of miles Kristen drive = 65 miles

Rebecca drives two times as far as Kristin. Then Meg drives twice as far as Kristin and Rebecca combined

This means Number of miles Meg drive is equal to twice the number of miles driven Kristin .

Then equation we get;

Number of miles Meg drive = 2 × Number of miles Kristin drive =

Number of Miles Driven by Rebecca is equal to twice the sum of Number of miles Kristin drive and Number of miles Meg drive.

Then equation we get;

Number of miles Meg drive = 2 × (Number of miles Susie drive + Number of miles Meg drive) =

Hence Meg has drive 390 miles to visit Grandma.

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The measures of x, y and z are 40⁰, 90⁰ and 50⁰

A triangle is a three-sided polygon that consists of three edges and three vertices.

We know that co-interior angles are supplementary.

∠APQ+∠CPQ=180⁰

x+∠CPQ=180⁰

x+140⁰=180⁰

x=40⁰

∠BPR+∠PRD=180⁰

z+130⁰=180⁰

z=50⁰

Now, angles x, y and z form a line, hence they sum up to 180∘.

x+y+z=180⁰

40⁰+y+50⁰=180⁰

y=90⁰

Hence, the measures of x, y and z are 40⁰, 90⁰ and 50⁰

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The question is not complete, similar kind of question is given below.

In the given figure, AB || CD. Find the measure of x, y and z.

The percent rate of change of s(t) is approximately -26.15%. This means that the function is decreasing at a rate of about 26.15% per unit of time.

The function s(t) = 0.65[tex](0.48)^t[/tex]represents a decreasing exponential function, where t is time and s(t) is the value of the function at time t.

To find the percent rate of change of s(t) at any given time t, we can use the formula:

percent rate of change = [(new value - old value)/old value] x 100%

In this case, the "old value" is s(t) and the "new value" is s(t+1), or the value of the function one unit of time later.

So, the percent rate of change of s(t) is:

percent rate of change = [(s(t+1) - s(t))/s(t)] x 100%

We can substitute the given function into this formula:

percent rate of change = [(0.65[tex](0.48)^(t+1)[/tex]- 0.65[tex](0.48)^t)[/tex]/0.65[tex](0.48)^t][/tex]x 100%

Simplifying, we get:

percent rate of change = [(0.48(0.65)[tex](0.48)^t[/tex]- 0.65[tex](0.48)^t)[/tex]/0.65[tex](0.48)^t][/tex] x 100%

percent rate of change = [-0.17/0.65] x 100%

percent rate of change = -26.15%

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After conversion, 1497 milliliters (ml) is equal to 1497 cubic centimeters (cm³) because 1 milliliter (ml) is equal to 1 cubic centimeter (cm³).

The units of volume, such as milliliters (ml) and cubic centimeters (cm³), measure the amount of space occupied by a substance. A milliliter (ml) is a unit of volume that is commonly used to measure small quantities of liquids. A cubic centimeter (cm³) is a unit of volume that is used to measure the volume of solid objects or substances.

One milliliter (ml) is equal to one cubic centimeter (cm³). This means that one milliliter of a substance takes up the same amount of space as one cubic centimeter of the same substance.

So, to convert 1497 milliliters (ml) to cubic centimeters (cm³), we simply use the conversion factor of 1 ml = 1 cm³:

1497 ml = 1497 * 1 cm³ = 1497 cm³

Therefore, 1497 milliliters (ml) is equal to 1497 cubic centimeters (cm³).

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The value of x from the given figure is 15°.

An exterior angle is an angle which is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side. The sum of the measures of the exterior angles of a polygon is equal to 360 degrees, irrespective of the number of sides in the polygons.

In the given figure, we have 7x°, 83°, 33°, 6x° and 49°.

Now, 7x°+83°+33°+6x°+49°=360°

13x+165=360

13x=360-165

13x=195

x=195/13

x=15

Now, 6x=90° and 7x=105°

Therefore, the value of x is 15°.

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The quotient of 3b/4 divided by -c/6 is -9b/2c

Algebraic expressions are simply defined as those expressions that are made up of coefficients, variables, constants, terms and factors.

They are also seen as expressions that are composed of mathematical or arithmetic operations, such as;

From the information given, we have that;

3b/4 divided by -c/6

This is represented as;

3b/4 ÷ -c/6

Take the inverse of the divisor and multiply

3b/4 × 6/-c

18b/-4c

Divide the values

-9b/2c

Hence, the value is -9b/2c

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Answer:

Top TUV

Bottom: UV, UT, TV

Step-by-step explanation:

The scale factor from the larger to the smaller is 3/4

24(3/4) = 18

12(3/4) = 9

16(3/4) = 12

Answer:p-by-step explanation:

15 x$1.50 is $22.50 then add that to the monthly fee of $14.00 for a total of $36.50

Step-by-step explanation:

[tex](8 - 2x) = 3(y + 1) {}^{2} [/tex]

If we factor out -2

[tex] - 2( - 4 + x) = 3(y + 1) {}^{2} [/tex]

[tex](x - 4) = - 1.5(y + 1) {}^{2} [/tex]

Disclaimer: this is a weird question because they would usually have you isolate the quadratic(the term being squared) but this is the answer is you're form you asked about

The vertex of this parabola is (4,-1)

Answer: 250

Step-by-step explanation:

It says in the question that the first round was -350 but the second round she score 250 and the question wants to know how many points she scored in the second round with would be 250.

It should be noted that the addition of 1.17+ √63 will give an irrational number.

If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so forth.

All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.

In this case, the answer is irrational, as the square root of 63 is not a rational number and cannot be expressed as a fraction of two integers.

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