How to solve this problem in math

Answer:

A.  

The table represents a geometric sequence because the successive y-values have a common ratio of -2.4.

Step-by-step explanation:

A geometric sequence, with a first term a and common ratio r, is generally represented as;

[tex]a,ar,ar^{2},ar^{3},ar^{4},............ar^{n}[/tex]

The first term refers to the first number that appears in the sequence. The common ratio is the constant that multiplies a preceding value to obtain the successive one. That is, to obtain [tex]ar^{2}[/tex] from [tex]ar[/tex] we multiply [tex]ar[/tex] by the common ratio r.

In the table given the y-values are as follows;

4, -9.6, 23.04, -55.296

To obtain the common ratio we simply divide each value by the preceding one;

(-9.6)/4 = -2.4

23.04/(-9.6) = -2.4

(-55.296)/23.04 = -2.4

Since the sequence of numbers has a common ratio then it qualifies to be a geometric sequence. Thus, the table represents a geometric sequence because the successive y-values have a common ratio of -2.4.

Answer:

The table represents a geometric sequence because the successive y-values have a common ratio of -2.4

Answer: D

Step-by-step explanation:

PEMDAS.

1.6+3=4.6

4.6x2 = 9.2

9.2/2 = 4.6

Answer:D

Step-by-step explanation:

Answer:

= 72 cm

Step-by-step explanation:

The ratio of lengths of two similar figures is called the linear scale factor.

In this case, the linear scale factor is 2/3

The linear scale factor is also equivalent to the ratio of the perimeter of two similar figures.

Therefore, 2/3 = 48/x

                x = 48 × 3/2

                   = 72 cm

The perimeter of the other polygon is 72 cm

Answer:

72 cm

Step-by-step explanation:

Given in the question, there are two similar polygons and the ratio of the corresponding side lengths is 2/3.

Perimeter of the smaller polygon = 48 cm

let perimeter of the larger polygon = x cm

We know that if two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

So,

Perimeter of smaller polygon / Perimeter of larger polygon = 2 / 3

48 / x = 2 / 3

48(3) = 2(x)

144 = 2x

x = 72 cm

Answer: Well for example two roads that are meeting with each other and they form a right angle,

Step-by-step explanation:

Answer:

1.  A Christian cross.

2. Roads that meet at intersections

3. Hospital crosses.

Step-by-step explanation:

Perpendicular lines are lines that touch each other, or are slanted in a way that they will eventually touch each other. The examples I used are all crosses, which are two line that cross.

Answer:

having a set minimum or percentage for savings; whichever is greater

Step-by-step explanation:

Most saved situation is,

A) Having a set amount set aside for savings each time you are paid.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find Most saved situation.

Now,, We know that;

When, having a set amount set aside for savings each time you are paid- this can be the most possible answer.

And, Technically a person should save 20% to 25% of his income and this amount increases with income.

So, each time when you are paid, set aside the savings amount.

Thus, Most saved situation is,

A) Having a set amount set aside for savings each time you are paid.

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I don't know if this will help but I found this on YAHOO!

Answer: Domain of definition of a function is the set of numbers which the variable attains and for which the function is defined.

Step-by-step explanation:

f(x) = sqrt (5x-10)

Here x can have value equal to any real number >=2 because if x attains value less that 2, 5x-10 becomes negative and sqrt(5x-10) has no real value.

therefore the domain of the function f(x) is (2, infinity) inclusive of 2.

The domain of the above function is (2, ∞) .

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

For the given function   [tex]y = \sqrt{5x-10[/tex]

The domain will be the value that satisfies the function and produces a value of y

For any value less than 2 , the value of v will be an imaginary number .

As the square root of a negative number will be an imaginary number.

Therefore (2, ∞) is the domain of the above function.

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Answer:

second one :p

Second one I think ;-;

PENTA = 5.

a regular polygon has all equal sides, so if one side is 5.8, all are, so the perimeter for this pentagon with 5 sides is 5.8 + 5.8 + 5.8 + 5.8 + 5.8 = 29.

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} p=perimeter\\ a=apothem\\ \cline{1-1} p=29\\ a=4 \end{cases}\implies A=\cfrac{1}{2}(4)(29)\implies A=58[/tex]

Answer:

B: If both pairs of opposite sides are =, then a parallelogram.

Step-by-step explanation:

If was right on my assignment

Quadrilateral ABCD is a rhombus and parallelogram.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.

Given, in a quadrilateral ABCD,

AB= BC = CD = DA

Since A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

A Quadrilateral is a Parallelogram, if any of this is possible in a Quadrilateral

Definition of a parallelogram.

All quadrilaterals are parallelograms.

If both pairs of opposite sides are equal.

Therefore, Quadrilateral ABCD is a rhombus and parallelogram.

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Answer:

B because there is a dot in front of the 25 which is also known as a decimal point.

For this case we have that by definition, a decimal number is a number that is composed of a whole part, which can be zero, and by another lower than the unit, separated from the whole part by a point.

Examples:

0.05

1.76

According to the options given, we have:

A. [tex]\frac {1} {2},[/tex] it is a fraction

B. 23, is a whole number

C.[tex]\frac {33} {10}[/tex], it is a fraction

D. 0.25, is a decimal number.

Answer:

Option D

Answer: 254.47

Step-by-step explanation: A=3.14*r to the power of two=3.14*9 squared=254.47

3.14*9^2=254.34 this would be the answer

Answer:

h ≈ 30.10  ft

Step-by-step explanation:

Marie measures the angle of elevation from a point A to a tree as 34° . She works 10 ft directly towards the tree and discovered the new angle of elevation is 41°. The height of the tree can be computed below.

let

a = distance from point B to the tree

h = height of the tree

The right angle triangle formed from point B,  we can use tan to find the height of the tree.

tan 41°  = opposite /adjacent

tan 41° = h/a

cross multiply

h = a tan 41°

The right angle formed from point A

tan 34° = opposite/adjacent

tan 34° = h/(a + 10)

(a + 10)tan 34° = h

Therefore,

a tan 41° = (a + 10)tan 34°

0.8692867378

a =  0.6745085168(a + 10)

0.8692867378a = 0.6745085168a + 6.7450851684

collect like terms

0.8692867378a - 0.6745085168a = 6.7450851684

0.194778221a = 6.7450851684

a = 6.7450851684/0.194778221

a = 34. 629565532  ft

height of the tree can be find with

h = a tan 41°

h = 34. 629565532 × 0.8692867378

h =  30.103022053  ft

h = 30.10 ft

Answer:

It's 1/3

Step-by-step explanation:

6 possible outcomes, 2 desired.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

There are 6 different possible numbers the cube can land on. Because it is a standard cube, all of the sides will have equal probability of getting landed on. 3 and 5 make up 2 out of 6 possibilities hence a probability of

[tex]\frac{2}{6}[/tex]

or

[tex]\frac{1}{3}[/tex]

Answer:

y + 4 = a(x - 7)^2

Step-by-step explanation:

The standard vertex form of a parabola with vertex at (h, k) is

y - k = a(x - h)^2

and if we start with the simplest case, y = a(x)^2 and translate its graph 7 units to the right and 4 units down, we get   y - {-4] = a(x - 7)^2, or

y + 4 = a(x - 7)^2

The answer is y + 4 = a(x - 7)^2.

The standard vertex form of a parabola with vertex at (h, k) is

y - k = a(x - h)^2

And if we start with the simplest case,

y = a(x)^2 and

translate it Into 7 units to the right and 4 units down,

we get  

y - {-4] = a(x - 7)^2

then we get the equation is y + 4 = a(x - 7)^2.

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Answer: X = t or minus 4 square root 3 and X= 4 square root 3 Explanation: add 48 on both sides bring down x squared = 48 take the square root on both sides you get X= t or - 4 square root 3 and X=4 square root 3) Animex yw

Answer:

x = ±4√3

Step-by-step explanation:

Given:  x² = 48, find x.  Note that we must take the square root of both sides, and that there are 2 roots (solutions) because this is a second order equation.

√x² = ±√48

48 is not a perfect square, but it does factor into 16 (a perfect square) and 3 (not a perfect square).

Thus, x = ±4√3 (the last answer choice)

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This was already answered.

Answer:

The value of x is 60 ft.

Step-by-step explanation:

The area of a rectangle is

[tex]A=length \times width[/tex]

The area of school is

[tex]A=165\times 300=49500[/tex]

The area of old lot with school is

[tex]A=(165+75)(300+75)=90000[/tex]

The area of old lot without school is

[tex]A_1=90000-49500=40500[/tex]

The area of new lot with school is

[tex]A=(165+75+x)(300+75+x)=x^2 + 615 x + 90000[/tex]

The area of old lot without school is

[tex]A_2=x^2 + 615 x + 90000-49500=x^2 + 615 x + 40500[/tex]

It is given that the area of new parking lot will be twice the size of the old parking lot.

[tex]2A_1=A_2[/tex]

[tex]2(40500)=x^2 + 615 x + 40500[/tex]

[tex]0=x^2 + 615 x -40500[/tex]

[tex]0 = (x - 60) (x + 675)[/tex]

[tex]x=60,-675[/tex]

The value of x can not be negative. Therefore the value of x is 60 ft.

Answer:

135.39

Step-by-step explanation:

The solid consist of 4 triangles and a 5 rectangles.

Formula to calculate area of triangle is

1/2 (height) (base)

Formula to calculate area of rectangle is

length x width

so

Total surface area of the composite solid is

2( 4(4) + 6(4) + 1/2(√13)(4) + 1/2(2√2)(6) ) + 6(4)

111.39 + 24

135.39

Answer:

Total area = 135 .39 square yard

Step-by-step explanation:

Given : composite figure.

To find : Find the surface area of the composite solid. Round the answer to the nearest hundredth.

Solution : We have given a composite figure with rectangle base and four triangles .

Base of two triangle  =  4 yd .

Height of two triangle = √13 yd .

Base of other two triangle  =  6 yd .

Height of other two triangle = 2√2 yd .

Area of rectangle  = length * width .

Area of rectangle  = 6 *4

Area of rectangle  = 24 square yard .

Area of all rectangle = 3 *24 = 72 square yard

Area of two square = 2( 4*4) = 32 square yard.

Area of triangle  = [tex]\frac{1}{2} base * height[/tex].

Area of triangle= [tex]\frac{1}{2} 4 *√13 [/tex].

Area of triangle = 2√13 .

Area of two triangle  = 2 * 2√13 .

Area of two triangle  = 4√13 square yard.

Area of other triangle  = [tex]\frac{1}{2} 6 * 2√2 [/tex].

Area of other triangle  = 3* 2√2

Area of other triangle  = 6√2.

Area of other two triangle  = 2 *6√2.

Area of other two triangle  = 12√2 square yard.

Total area = Area of  3 rectangle + Area of two triangle + Area of other two triangle + area of square

Total area =  72 + 4√13 +  12√2 + 32

Total area = 135 .39 square yard.

Therefore, Total area = 135 .39 square yard.

Answer:

sqrt(17)

Step-by-step explanation:

sqrt(49) = 7   rational

.06060606 (repeating) = 2/33  rational

1/6   rational

sqrt(17) irrational

ANSWER

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

EXPLANATION

Given that (x,y)=(5,10), we want to find r.

We use the relation:

[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

We substitute x=5 and y=10 into the formula to get,

[tex]r = \sqrt{ {5}^{2} + {10}^{2} } [/tex]

This implies that,

[tex]r = \sqrt{ 25+ 100 } [/tex]

[tex]r = \sqrt{125} [/tex]

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

Answer:

B.) 45

Step-by-step explanation:

All that is needed to solve this problem is .75*60. Whenever there is a percentage, , just move the decimal place up two :).

[tex] {x}^{2} + {y}^{2} - 10x - 6y + 18 = 0[/tex]

Answer:

[tex](x-5)^2 + (y-3)^2= 16[/tex] is the equation of a circle

Step-by-step explanation:

The circle below is centered at the point (5,3) and has a radius of length 4

To find the center  form of equation, we use formula

[tex](x-h)^2 + (y-k)^2= r^2[/tex]

where (h,k) is the center and 'r' is the radius of the circle

given center is (5,3)

h=5  and k =3

radius r= 4, plug in all the values in the equation

[tex](x-h)^2 + (y-k)^2= r^2[/tex]

[tex](x-5)^2 + (y-3)^2= 4^2[/tex]

[tex](x-5)^2 + (y-3)^2= 16[/tex] is the equation of a circle

Formula: V = PI x r^2 x H

Volume = 3.14 x 4^2 x 10

Volume = 3.14 x 16 x 10

Volume = 3.14 x 160

Volume = 160π or 502.4 units^3

To find the volume of a cylinder, we use the formula represented below.

Volume = [tex]\pi[/tex][tex]r^{2}[/tex]h

Notice that our cylinder has a radius of 4 and a height of 16, so we can plug these numbers into our formula.

Image provided.

Answer:

D = 48

Step-by-step explanation:

because if AB is 24, YZ is the double, so YZ is 48

Answer:

y = 5x+2   ,    y=x-6

Step-by-step explanation:

just by looking at the table you can see for the first one 5x + 2 satisfies the table, and x-6 satisfies the right table.

for the first table the equation is:

[tex]x(5) + 2 = y[/tex]

and for the second it's:

[tex]x - 6 = y[/tex]

Step-by-step explanation:

Remember SOH-CAH-TOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

The side adjacent to W is 4.  The side opposite of W is 3.  The hypotenuse is 5.

Therefore:

Sine = 3 / 5

Cosine = 4 / 5

Tangent = 3 / 4

Answer:

y can be any real number

Step-by-step explanation:

8(y + 7) > 8y + 3

Distribute

8y+56 > 8y+3

Subtract 8y from each side

8y-8y +56 > 8y-8y +3

56 > 3

This is always true so the inequality is always true

y can be any real number

Answer:

[tex]f^{-1}(x)=\cos^{-1} x+\frac{\pi}{2}[/tex]

Step-by-step explanation:

The given function is

[tex]y=\cos(x-\frac{\pi}{2})[/tex]

To find the inverse of this function, we interchange x and y.

[tex]x=\cos(y-\frac{\pi}{2})[/tex]

Take the inverse cosine of both sides to obtain;

[tex]\cos^{-1} x=y-\frac{\pi}{2}[/tex]

[tex]\cos^{-1} x+\frac{\pi}{2}=y[/tex]

Therefore the inverse of the given cosine function is;

[tex]f^{-1}(x)=\cos^{-1} x+\frac{\pi}{2}[/tex] where [tex]-1\le x\le 1[/tex]

Answer:

the answer is B

y=tanx- pie/2

Answer:

The Answer is C

Step-by-step explanation:

The volume of the cylinder increases by a factor of 25 when the radius is increased by a factor of 5.

The volume of a cylinder is given by the formula:

Volume = π * (radius^2) * height

If the radius is increased by a factor of 5, the new radius is 5 times the original radius. Let's call the original radius "r" and the new radius "5r." The height remains the same.

Now, let's calculate the new volume with the increased radius:

New Volume = π * (5r)^2 * height

New Volume = π * 25r^2 * height

To find the effect on the volume, we can compare the new volume to the original volume:

Effect on Volume = (New Volume) / (Original Volume)

Effect on Volume = (π * 25r^2 * height) / (π * r^2 * height)

The π, height, and r^2 terms cancel out:

Effect on Volume = (25r^2) / (r^2)

Effect on Volume = 25

So, the volume of the cylinder increases by a factor of 25 when the radius is increased by a factor of 5.

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X=-10 and Y=13, look at the image attached to see the solution

Answer:

x = -10

y = 13

Step-by-step explanation:

- 3x + 2y = 56 ------ Equation 1

- 5x - 2y = 24 ------ Equation 2

Equation 1 + Equation 2.

-8x = 80

x = -10

Substitute x = - 10 into Equation 1.

-3(-10) + 2y = 56

30 + 2y = 56

2y = 26

y = 13

The basketball team sold a total of 23 items (t-shirts and hats) and made $246. By setting up and solving a system of equations, it was determined that they sold 15 t-shirts and 8 hats.

To determine the number of t-shirts and hats sold by a basketball team for a fundraiser, given that they sold a total of 23 items and made a profit of $246, with a profit of $10 per t-shirt and $12 per hat sold. To solve this problem, we can set up a system of linear equations and solve for the two variables representing the number of t-shirts (T) and the number of hats (H).

Let T represent the number of t-shirts and H represent the number of hats.

We know that T + H = 23 (since 23 items were sold in total).

We also know that the profit from t-shirts is $10 per t-shirt, and the profit from hats is $12 per hat. Therefore, 10T + 12H = $246 (total profit).

We can now set up the equations:
T + H = 23
10T + 12H = $246

From the first equation, we can express H in terms of T: H = 23 - T.

Substitute H = 23 - T into the second equation:
10T + 12(23 - T) = $246

Simplify and solve for T:
10T + 276 - 12T = $246
-2T + 276 = $246
-2T = $246 - 276
-2T = -$30
T = 15 (number of t-shirts sold)

Now, we can find the number of hats by substituting T back into H = 23 - T. Since T is 15, H = 23 - 15 = 8 (number of hats sold).

Therefore, the basketball team sold 15 t-shirts and 8 hats.