Which of the following is the equivalent of 2½ in decimal?

Answer:

–1 7/15

Step-by-step explanation:

-4/5 - 2/3 = -22/15 or - 1.46

In Fraction, when both denominators are different you multiply them.

Then, multiply the first numerator with the second denominator.

Similarly, multiply the second numerator with the first denominator.

We get,

-4/5 - 2/3 = (-12 - 10)/15

When two numbers have Minus sign, add them both and give the result the same (minus) sign.

we get,

(-12 - 10)/15 = - 22/15

Finally, when - 22 is divided by 15

we get,

- 1.46

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Answer:

Step-by-step explanation:

divide 13 by how many feets u have then what ever you get is the answer

THANK YOU

By solving an inequality, we will see that for more than 12 tons of sugar, the first company will be the cheaper option.

We know that the first company charges a fixed amount of $1503, plus $125.25 for each ton of sugar, then the total cost for x tons of sugar is:

f(x) = $1503 + $125.2*x

While the second company only charges $250.50 for each ton of sugar, then the cost for x tons of sugar is:

g(x) = $250.50*x

The first company will be a better option for all the values of x such that the following inequality is true:

f(x) < g(x)

Replacing the functions we will get:

$1503 + $125.2*x <  $250.50*x

Now we can solve that inequality for x.

$1503 < $250.50*x - $125.25*x

$1503 < $125.25*x

$1503/$125.25 < x

12 < x

So for more than 12 tons of sugar, company one is the best option.

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The meaning of p (10) will be;

⇒ The plant's height in centimeters after 10 weeks.

A relation between a set of inputs having one output each is called a function.

Given that;

The height of a plant in centimeters is a function of its age in weeks, w.

And, p represent this function.

Now,

Since, p represent this function.

Hence, The value of p (10) means is,

⇒ p (10) = The plant's height in centimeters after 10 weeks.

Thus, The correct statement is,

⇒ The plant's height in centimeters after 10 weeks.

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In mathematics, the pattern of association refers to the type of correlation that is found between two variables which includes positive, negative, or no correlation.

The connection between two or more variables is referred to as a pattern of association. There are various variations of this relationship, including a positive correlation, a negative correlation, and no correlation. When both variables rise or fall at the same time, there is a positive correlation. In other words, as one variable rises, the other one rises as well, and vice versa.

When two variables move in the opposing directions, there is a negative correlation. The other variable reduces as one grows, and vice versa. When there is no correlation between the variables, a no correlation exists. This indicates that there is no pattern in the data and that the variables do not change simultaneously.

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Answer:

can i get brainliest?

Step-by-step explanation:

Garden A started with: 25 weeds

Days after no weeds garden A: 2 days after

Days after no weeds garden B: 6 days after

Rate of weeds dying garden B: -2.5 per day i think

Garden a and b same weeds: Day 1

The compound interval for the given interval is (-∞, ∞).

A compound inequality is a combination of two inequalities that are combined by either using "and" or "or". The process of solving each of the inequalities in the compound inequalities is as same as that of a normal inequality but just while combining the solutions of both inequalities depends upon whether they are clubbed by using "and" or "or".

The given intervals are (-∞, -2] or [-3, ∞).

Now, the compound interval is (-∞, ∞)

Thus, the interval notation is -∞<x<∞

Therefore, the compound interval for the given interval is (-∞, ∞).

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Answer:

-3g+70/7g

I have attached the working as an image file

Answer:

To solve these problems, you are going to use inverse operations. For example, if the problem is y+2=4, you would switch the positive (+) 2 to a negative (-) 2 and subtract on both side to get y=2.

1). 10=f-9

Change -9 to 9.

10+9=f-9+9

The 9s on the right cancel. Simplify 10+9.

19=f

2). l+5=9

Change 5 to -5.

l+5-5=9-5

The 5s on the left cancel. Simplify 9-5.

l=4

3). 23=p+13

Change 13 to -13.

23-13=p+13-13

The 13s on the right cancel. Simplify 23-13.

10=p

To check your answers, plug the answers into their corresponding variables.

1). 10=19-9

19-9=10

10=10

Correct

2). 4+5=9

4+5=9

9=9

Correct

3). 23=10+13

10+13=23

23=23

Correct

Please let me know if this helps (please mark brainliest if so!) and/or if you have any questions! Have a splendid day!!! :)

One can say that two triangles are congruent if their measurements and appearance match. The other two triangles remain true even if we rotate, flip, or shift one of them.

Two triangles with the same dimensions and appearance are said to be congruent. Even if we flip, rotate, or shift one of the triangles, the other two still hold true. If two triangles' sides are the same, they must have the same angles and, as a result, must be congruent.

Given that the bases of the triangle PWZ are the same (1 and 2) and that W and Z are the same distance from X and Y, where XY is the base of another triangle inside PWZ.

For PWZ

PWZ's two angles are the same, thus we know it is an isosceles triangle.

Because of this, another PXY is on the same base as a PWZ and is also located at the same distance from its point. These triangles are hence congruent triangles.

When viewed from that angle, we can claim that 1 and 2 are congruent pairs of alternate angles.

∠1 ≅ ∠2

In the same way, 3 and 4 are.

∠3 ≅ ∠4

As a result, the Triangles are congruent according to the ASA Theorem. The sides that the two angles encompass are similar.

Therefore, the correct answers are:

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The correct answers are Isosceles triangle theorem, SAS, CPCT( Corresponding parts of a congruent triangles are congruent), The converse of Isosceles triangle theorem.

Two triangles with the same dimensions and appearance are said to be congruent. Even if we flip, rotate, or shift one of the triangles, the other two still hold true. If two triangles' sides are the same, they must have the same angles and, as a result, must be congruent.

Given that the bases of the triangle PWZ are the same (1 and 2) and that W and Z are the same distance from X and Y, where XY is the base of another triangle inside PWZ.

For PWZ

PWZ's two angles are the same, thus we know it is an isosceles triangle.

Because of this, another PXY is on the same base as a PWZ and is also located at the same distance from its point. These triangles are hence congruent triangles.

When viewed from that angle, we can claim that 1 and 2 are congruent pairs of alternate angles.

∠1 ≅ ∠2

In the same way, 3 and 4 are.

∠3 ≅ ∠4

As a result, the Triangles are congruent according to the ASA Theorem. The sides that the two angles encompass are similar.

Therefore, the correct answers are:

Given

Isosceles triangle theorem

SAS

CPCT( Corresponding parts of a congruent triangles are congruent)

The converse of Isosceles triangle theorem

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The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers. (option A).

The first step is to determine the number of each type of box shape that would be needed for the pencils.

Number of rectangular prism boxes that would be needed = total number of pencils / capacity of the box

Number of rectangular prism boxes that would be needed = 2400 / 60 = 40 boxes

Number of cylindrical boxes that would be needed = total number of pencils / capacity of the box

Number of cylindrical boxes that would be needed = 2400 / 80 = 30

Now determine the total cost of using each type of box shape.

Total cost of using the  cylindrical boxes = 30 x 0.75 = $22.50

Total cost of using the  rectangular prism boxes  = 40 x 0.50 = $20

Difference in cost = $22.50 - $20 = $2.50

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Answer:

^^ A on edge

Step-by-step explanation:

The cost for a loaf of bread is $5, the cost for a bag of cookies is $13, and the cost for a cupcake is $2.50.

Cost is the amount of money or resources required to purchase, produce, or maintain something. It can refer to the price of goods or services, the amount of money spent on labor and materials, or the amount of time used to complete a task. Cost is often associated with the decision-making process, as it helps an individual or organization determine the value of a product or service and evaluate if it is worth the investment.

Therefore, the restaurant spent $35 on loaves of bread, $52 on bags of cookies, and $2 on cupcakes in week 1; $24 on loaves of bread, $39 on bags of cookies, and $3 on cupcakes in week 2;

and $40 on loaves of bread, $21 on bags of cookies, and $4 on cupcakes in week 3.

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The formula for the nth term of the given function is 3 squared times the difference between 5 and -1, multiplied by the difference between n and 1, divided by the sum of n and 1.

r_n = 3^2 * (5-(-1)) * (n-1)/(n+1)

Step 1: calculate 3 squared

3^2 = 9

Step 2: calculate the difference between 5 and -1

5-(-1) = 6

Step 3: calculate the difference between n and 1

n-1

Step 4: calculate the sum of n and 1

n+1

Step 5: multiply all the above calculations

r_n = 9 * 6 * (n-1)/(n+1)

The formula for the nth term of the given function is 9 times the difference between 5 and -1, multiplied by the difference between n and 1, divided by the sum of n and 1. To calculate this, first calculate 3 squared, which is 9. Then calculate the difference between 5 and -1, which is 6. Then calculate the difference between n and 1, which is n-1. Finally, calculate the sum of n and 1, which is n+1. Multiply all of these calculations together to get the formula for the nth term, which is 9 times the difference between 5 and -1, multiplied by the difference between n and 1, divided by the sum of n and 1.

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To solve this system, first multiply the first equation by 2 to get 8x+6y=-4.

An equation is a mathematical statement that expresses two values or ideas as equal. It consists of two parts: an expression and an equals sign. The expression on the left side of the equals sign is compared to the expression on the right side of the equals sign. An equation may be used to describe relationships between physical, chemical, and mathematical quantities.

Then add the two equations to get 14x=-8. Therefore,

x=-8/14 and substituting x=-8/14

into the first equation yields y=3/2.

Thus, the solution to the system is x=-8/14 and y=3/2.

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The expression can be rewritten as a single logarithm as:

ln|sin x| + ln|cot x| = ln(|sin x||cot x|) = ln|cos x|

This is possible because logarithm function is a monotonically increasing function, meaning that if a > b then log(a) > log(b) and log(a*b) = log(a) + log(b) that's why we can add the two logarithms.

The result is simplified by combining the absolute values of the sin and cot functions into a single term. The absolute value is removed since the product of two positive numbers is always positive. The final result is ln|cos x|, which is the natural logarithm of the product of the sine and cotangent of x.

It is important to note that the cotangent function is defined as 1/tan(x) so that cot(x) = 1/tan(x) and cot(x) is only defined for x where sin(x) is not equal to 0.

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Answer:
150.72 cm^2

If this help please set brainliest.

Step-by-step explanation:

The surface area of a cylinder can be calculated using the formula:

surface area = 2 * pi * r * h + 2 * pi * r^2

where r is the radius of the base of the cylinder, h is the height of the cylinder, and pi is approximately equal to 3.14.

To solve for the surface area of the cylinder you described, we first need to find the radius of the base. Since the cylinder has a height of 15cm and a length of 8cm, we can assume that the radius of the base is half of the length, or 8cm / 2 = 4cm.

Plugging this value into the formula, we get:

surface area = 2 * 3.14 * 4 * 15 + 2 * 3.14 * 4^2

= 100.48 + 50.24

= 150.72 cm^2

So the surface area of the cylinder is approximately 150.72 cm^2.

Answer:

x = 121 degrees

y = 59 degrees

w = 59 degrees

z = 53 degrees

v = 121 degrees

Step-by-step explanation:

31 + 90 + w = 180  ==> these three angles are in the top left triangle.

                                    Triangles add up to 180 degrees

121 + w = 180  ==> solve for w

w = 59 degrees

y = w ==> these angles are opposite adjacent angles; they are congruent

y = 59 degrees ==> Both angles are equal. So both angles are 59 degrees

68 + y + z = 180 ==> triangles add up to 180 degrees

68 + 59 + z = 180 ==> plugin 59 for y

127 + z = 180 ==> solve for z

z = 53 degrees ==> subtract 137 on both sides

w + x = 180  ==> w and x are on a straight line.

                           Straight lines add up to 180 degrees.

59 + x = 180  ==> plugin 59 for w

x = 121 degrees  ==> subtract 59 on both sides

v + y = 180 ==> v and y are also on a straight line.

v + 59 = 180 ==> plugin 59 for y

v = 121 degrees ==> subtract 59 on both sides

x = 121 degrees

y = 59 degrees

w = 59 degrees

z = 53 degrees

v = 121 degrees

Thus the angles of the isosceles triangles are 80°, 80° and 20°

An isosceles triangle is a triangle that has two sides of the same length. It also has two equal angles on the right and left (base angles) and one vertical angle, in a total of 180°.

Let's assume the base angle of an isosceles triangle is a, and the vertical angle is b. Then we can apply the total angles of a triangle here.

180° = a + a + b

As we know that a = 4b, then we can rewrite the equation as follows:

180° = a + a + b

180° = 4b + 4b + b

180° = 9b

b      = 20°

Then we calculate the value of a:

a = 4b

  = 4x20°

  = 80°

Thus the angles of the isosceles triangles are 80°, 80° and 20°

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The slope-point form of the linear equation with a slope of -3 and the given point is:

y = -3*(x - 3) - 1

Remember that a general linear equation with a slope a and a point (h, k) can be written in the slope-point form as:

y = a*(x - h) + k

In this case, we know that the slope of the linear equation must be -3, so the linear equation can be written as:

y = -3*(x - h) + k

Now we also want this line to pass through the point on the graph, which is (3, -1), then we need to replace the values:

h = 3

k = -1

Replacing that in the linear equation above we will get:

y = -3*(x - 3) - 1

That is the linear equation in the slope-point form.

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On solving the provided question, we  can say that - the give quadratic equation [tex]y = x^2 - 4x - 1[/tex], there are no like terms so it doesn't factor.

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

here,

y = [tex]x^2 - 4x - 1[/tex]

so, the above quadratic equation, there no like terms, so it does not give any factor.

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Graphing each of the equation gave the points

The table of values for graphing the linear equation is done as follows

4x + y = 4 rearranging gives y = 4 - 4x

For x = -5, y = 4 - 4 * -5 = 24

For x = 0, y = 4 - 4 * 0 = 4

For x = 5, y = 4 - 4 * 5 = -16

table of values

x    y

-5  24

0    4

5    -16

x + y = -2 rearranging gives y = -2 - x

For x = -5, y = -2 - (-5) = 3

For x = 0, y = -2 - (0 = -2

For x = 5, y = -2 - (5) = -7

table of values

x    y

-5  3

0    -2

5    -7

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Answer:

Below

Step-by-step explanation:

Right triangle....use pyhtagorean theorem

c^2 = a^2 + b^2

(2 sqrt5)^2 = 2 ^2 + ?^2

16 = ?^2       ? = 4  units

Important Formulas:
[tex]s=\dfrac{d}{t}[/tex]

__________________________________________________________

Given:
[tex]d=250mi[/tex] (distance)

[tex]t=5h[/tex] (time)

[tex]s=?[/tex] (speed)

__________________________________________________________

Finding speed:

[tex]s=\dfrac{d}{t}[/tex]

[tex]s=\dfrac{250}{5}[/tex]

__________________________________________________________
[tex]\fbox{s = 50 mi/hr}[/tex]

Answer:

50 miles per hour (mph).

Step-by-step explanation:

250 / 5 = 50 miles per hour (mph).

Area shaded represents the area bounded by both the graphs of the functions y = sin(πx) and y = x³ - 4x.

An area bounded by two curves is the area under the smaller curve subtracted from the area under the larger curve. This will get you the difference, or the area between the two curves.

Given is the region {r} bounded by the graphs of y = sin(πx) and y = x³ - 4x.

Refer to the graph attached. The shaded region is the area bounded by both the graphs of the functions y = sin(πx) and y = x³ - 4x.

Therefore, area shaded represents the area bounded by both the graphs of the functions y = sin(πx) and y = x³ - 4x.

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Answer: 96

Step-by-step explanation:

First we have to find 1/3 of 144. Multiply them together and you get 48.

When one of the factors are less than one, the answer will get smaller.

Then we have to find 2 thirds of 144. Since we know 1 third we can multiply that by 2.
48 x 2 = 96.

Nigel is going to read 96 pages.

Answer: 4 times

Step-by-step explanation:

35/128 is your chances of getting heads, 8 divided by 2 = 4

The inverse of the given function is, [tex]f^-^1(x) = \sqrt{x+4} +1[/tex].

What is inverse of the function?

A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "f^-1" or "F^-1."

Consider, the given function

f(x) = (x - 1)^2 - 4

We have to find inverse of the function.

Let  y = (x - 1)^2 - 4

Replace x with y in the above equation.

x = (y - 1)^2 - 4

Add 4 on both sides,

x + 4 = (y - 1)^2

Taking square root on both sides,

[tex]\sqrt{x+4} = y - 1[/tex]

Add 1 on both sides,

[tex]\sqrt{x+4}+1 = y[/tex]

[tex]y = \sqrt{x+4} + 1[/tex]

Take [tex]y = f^-^1(x)[/tex]

⇒ [tex]f^-^1(x) = \sqrt{x+4} + 1[/tex]

Hence, the inverse of the given function is, [tex]f^-^1(x) = \sqrt{x+4} +1[/tex].

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