what is -6(13) -21 simplified?

Matt drinks water 12 times on his bike ride and eat snack 4 times.

Let us assume that Matt drinks water m times and eat snack n times.

Here, Matt bikes 25 miles, take a short break, and then bikes another 11 mile.

This means that onnhis bike ride he traveled total 25 + 11 = 36 miles.

Matt drinks water every 3 mile.

So, by unitary method,

m = total distance / 3

m = 36/3

m = 12

This means that he drinks water 12 times.

And he eat a snack every 9 mile.

So, by unitary method the value of n would be,

n = total distance / 9

n = 36 miles / 9 miles

n = 4

This means that he eats snack 4 times.

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120.39% increase in the volume of the cylinder.

Solution:

Let the radius of the original cylinder = r cm and height = h cm.

Original volume = πr²h

New radius of cylinder after increase =  \(\frac{110}{100} r = 1.1r\\\)

New height of cylinder after decrease = \(\frac{99.5}{100}h = 0.995h\)

Now, new volume of the cylinder =  π × (1.1r)² × 0.995h

                                                        = 1.2039πr²h

% increase = \(\frac{ChangeinVolume}{OriginalVolume}\) × 100

                  = (1.2039πr²h /  πr²h ) × 100

% increase =   120.39 %

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Answer:

3

Step-by-step explanation:

divide one side of the bigger triangle by the corresponding side of the smaller one

Answer:

3

Step-by-step explanation:

Divide the bigger triangle by the little one

3/1=3

then 12/4=3

Step-by-step explanation:

I am not sure what you mean. you don't round the intermediate numbers and results. only the final result.

you keep the irrational terms (like square root) like variable terms as they are and apply operations on them without actually expressing them as numbers.

only at the very last moment (when the final result is calculated) would you express them as actual number. and then you round the final result.

so, this is solved via Pythagoras :

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.

in our case we have

BP² = BN² + NP² = 7² + sqrt(95)² = 49 + 95 = 144

you see ?

no need ever to bring the actual result of sqrt(95) into the picture. just keep it at sqrt(95) and do with it, what you would do with any actual number.

BP² = 144

BP = sqrt(144) = 12

so, we never had to deal with the actual irrational number.

we know how it is created, so we keep using that term to represent it.

Answer:

6 in = 80 miles

Step-by-step explanation:

Given that:

Distance between Capeton and Jonesville = 80 miles.

Map scale : 0.75 in = 10 miles ; this means 0.75 inches on the map represents 10 miles on land.

Hence, If ;

0.75 inches = 10 miles

x inches = 80 miles

Cross multiply :

10 * x = 80 * 0.75

10x = 60

10x / 10 = 60 / 10

x = 6 inches

Hence,

6 in = 80 miles

Step 1

Vertices in shapes are the points where two or more line segments or edges meet (like a corner). The singular of vertices is vertex.]

A)

The edge is the side of a polygon or a line segment where two faces of a solid figure meet.

B)

A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon. Other faces of a prism are parallelograms or rectangles.

C)

The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.

The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.

To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:

P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)

Substituting the given values:

\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)

Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.

Similarly, for t = 2/3, we use the same formula:

\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)

Calculating the equation yields the coordinates of the intermediate point at t = 2/3.

In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.

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Answer:

To show that two fractions are reciprocals, you can multiply them together and check if the product is equal to 1. That is, if we have two fractions a/b and b/a, their product is:

(a/b) * (b/a) = ab / ba = 1

Therefore, if the product of two fractions is equal to 1, they are reciprocals of each other.

For example, let's say we have the fractions 2/5 and 5/2. We can multiply them together to check if they are reciprocals:

(2/5) * (5/2) = 1

Since the product is equal to 1, we can conclude that 2/5 and 5/2 are reciprocals of each other.

Answer:

1.41

Step-by-step explanation:

Coordinates of point 1 are:

(-2,2)

Coordinates of point 2 are:

(-1,1)

\(Distance \: between \: two \: points \\ = \sqrt{ {(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2} } \\ = \sqrt{ { (- 1 - - 2)}^{2} + {(1 - 2)}^{2} } \\ = \sqrt{ { (1)}^{2} + {( - 1)}^{2} } \\ = \sqrt{ 1 + 1 } \\ = \sqrt{2} \\ = 1.41 \)

Answer:

triangle abc is has same degres of angles with triangle def, but def is smaller in 3 times. it's only what i know, sorry if i not help

i think yea, they has a same angles, but def smaller in 3 times so i think yes

Answer:

Acute, Straight..... thats all i know

Step-by-step explanation:

Answer:

Dependent variable: s andIndependent variable: r

Step-by-step explanation:

hopes it help

Answer:

s is independent

r is dependent

Step-by-step explanation:

The standard form of (5 times 10^3) x (9 times 10^7) is 45x10^10

(5 times 10^3) x (9 times 10^7)

=5x10^3 x 5x10^7

=5x9 x 10^(3+7)

=45x10^10

The answer can also be written in the Decimal Point format,

=4.5x10^11

This answer can be elaborated by using the Product of Powers rule of exponents. In this rule, we add exponents when multiplying powers with the same base.

Exponent = The number of multiplications by itself.  It is represented as written above and to the right of a number.

For example:

10^7, where 10 is the base and 7 is an exponent.

Product of Powers rule of Exponents:

a^b x a^c = a^(b+c)

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To solve the expression (42 + 20) ÷ 4 - 2 · (9 ÷ 3) - 2 · [18 + 3 · (13 - 9) - 5], we follow the hierarchy of operations known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

By applying this hierarchy, we can simplify the expression step by step to find the result.

Following the hierarchy of operations, we start by simplifying expressions within parentheses and brackets.

First, within the brackets, we evaluate the expression (13 - 9) which equals 4. Therefore, [18 + 3 · (13 - 9) - 5] becomes [18 + 3 · 4 - 5].

Next, we evaluate the multiplication within the brackets: 3 · 4 equals 12. Thus, [18 + 3 · 4 - 5] simplifies to [18 + 12 - 5].

Moving outside the brackets, we proceed with addition and subtraction: 18 + 12 equals 30, and 30 - 5 equals 25. Therefore, [18 + 12 - 5] becomes 25.

After simplifying the brackets, we can now evaluate the remaining expression: (42 + 20) ÷ 4 - 2 · (9 ÷ 3) - 2 · 25.

Within the parentheses, we perform addition: 42 + 20 equals 62. Thus, the expression becomes 62 ÷ 4 - 2 · (9 ÷ 3) - 2 · 25.

We continue by evaluating the division: 62 ÷ 4 equals 15.5. The expression now becomes 15.5 - 2 · (9 ÷ 3) - 2 · 25.

Next, we perform the division within the parentheses: 9 ÷ 3 equals 3. The expression becomes 15.5 - 2 · 3 - 2 · 25.

Finally, we evaluate the remaining multiplications: 2 · 3 equals 6, and 2 · 25 equals 50. The expression becomes 15.5 - 6 - 50.

Continuing with the subtraction, we have 15.5 - 6 equals 9.5. Therefore, the final result of the expression (42 + 20) ÷ 4 - 2 · (9 ÷ 3) - 2 · [18 + 3 · (13 - 9) - 5] is 9.5.

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The ratio of students who wish they had x-ray vision to all students: 2:9

The ratio of students who wish for flight to all students: 3:1

The ratio of students who wish for flight to those who wish for invisibility: 6:1

1. The ratio of students who wish they had x-ray vision to all students: 2:9

This means that out of a group of students, there are 2 students who wish they had x-ray vision for every 9 students in total.

2. The ratio of students who wish for flight to all students: 2:3

This ratio indicates that out of a group of students, there are 2 students who wish for the ability to fly for every 3 students in total.

3. The ratio of students who wish for flight to those who wish for invisibility: 1:6

This ratio compares the number of students who wish for flight to the number of students who wish for invisibility. It states that for every student who wishes for flight, there are 6 students who wish for invisibility.

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Answer:

Okay, first we need to round each number to the nearest whole number before performing the addition or subtraction. Here are the rounded sums and differences:

1) 82 + 35 = 117

2) 58 + 11 = 69

3) 73 + 54 = 127

4) 73 + 45 = 118

5) 61 - 46 = 15

6) 54 - 24 = 30

7) 51 - 47 = 4

8) 10 + 12 = 22

9) 56 + 16 = 72

10) 95 + 78 = 173

11) 53 - 13 = 40

12) 100 - 7 = 93

13) 74 - 36 = 38

14) 82 - 4 = 78

15) 66 - 46 = 20

your welcome lol

Answer:

Here are your answers

Step-by-step explanation:

Let's estimate the sums and differences to the nearest whole number by rounding each number first, and then performing the calculations:

1) 82.23 + 35.23 ≈ 82 + 35 = 117

2) 58.23 + 11.34 ≈ 58 + 11 = 69

3) 73.34 + 54.35 ≈ 73 + 54 = 127

4) 73.23 + 44.5 ≈ 73 + 45 = 118

5) 60.54 - 45.67 ≈ 61 - 46 = 15

6) 53.78 - 23.56 ≈ 54 - 24 = 30

7) 51.45 - 46.78 ≈ 51 - 47 = 4

8) 10.43 + 11.78 ≈ 10 + 12 = 22

9) 56.45 + 16.45 ≈ 56 + 16 = 72

10) 94.78 + 78.12 ≈ 95 + 78 = 173

11) 53.23 - 12.85 ≈ 53 - 13 = 40

12) 99.78 - 6.58 ≈ 100 - 7 = 93

13) 73.56 - 36.18 ≈ 74 - 36 = 38

14) 81.56 - 3.56 ≈ 82 - 4 = 78

15) 65.78 - 46.34 ≈ 66 - 46 = 20

Please note that these are rounded estimates

The cost will be $627,000 for about n = 59 units made.

We know that the polynomial function:

C(n) = 3n^3 - 4n^2 + 250b + 75,000

Gives the cost of producing n products.

We want to find the value of n, such that the cost is $627,000

So we need to solve the cubic equation:

3n^3 - 4n^2 + 250n + 75,000 = 627,000

Now we can subtract 627,000 in both sides to get:

3n^3 - 4n^2 + 250n - 619,500 = 0

And now we can graph that equation and find the intercepts:

There you can see that the intercept is at n = 59, so that is the answer.

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Answer:

90

Step-by-step explanation:

can u help me

What is the volume of a square-based pyramid with a base length of 5 ft and a height of 24 ft?

Enter your answer in the box.

answer asap

ft³

Answer:

2  7/10 loaves

Step-by-step explanation:

2/3 pounds= 1 loaf

1 4/5(9/5)pounds = 9  x  1  

                                 5        

                                    2/3

= 9   /   2   =   9   x   3  =  27

  5        3          5        2        10

= 2 and 7/10 loaves

Answer: $34

$26.5

Step-by-step explanation:

Membership cost per month = $25

Price of a slice of pizza for members= $1.50

How much would Aaliyah have

to pay the pizza shop if she bought 6 slices of pizza this month

Total cost of Aaliyah on 6 slices of pizza = membership cost per month + prices of 6 discounted pizza

= $25 + $1.50(6)

= $25 + $9

= $34

What would be the

monthly cost for a slices of pizza

Monthly cost of Aaliyah a slices of pizza = membership cost per month + price of 1 discounted pizza

= $25 + $1.5

= $26.5

The value of x shown in the right angled triangle is 15.9 units

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Pythagoras theorem shows the relationship for the sides of a right angled triangle. It is given by:

Hypotenuse² = Adjacent² + Opposite²

From the diagram, substituting:

17² = x² + 6²

x² = 17² - 6²

x² = 253

x = 15.9 units

The value of x is 15.9 units

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The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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Answer:

50cm or 500 mm

Step-by-step explanation:

A quadrilateral is a four sided figure. So, the base of the quadrilateral pyramid has four sides. It also has 4 edges and 4 bases

sum of edges = sum of base edges + sum of lateral edges

1cm = 10mm

55mm = 5.5cm

sum of base edges : 5.5 x 4 = 22cm

sum of lateral edges : 7 x 4 = 28 cm

22 + 28 = 50 cm or 500mm

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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The property of the equality is a method to perform a operation both sides of the equal sign which will not affect the equation. Property of equality which is needed to isolate a variable and solve a given equation is use inverse relationships to "undo" the operation. Thus the option A is the correct option.

Property of equality

The property of the equality is a method to perform a operation both sides of the equal sign which will not affect the equation.

Inverse means to revere something which has been done earlier. An undo operation in mathematics is the operation of undoes what was done by the previous operation.

For example suppose the given expression is no 5. Then by adding 4 and again subtracting 4 keeps the system isolate.

Hence the property of equality which is needed to isolate a variable and solve a given equation is use inverse relationships to "undo" the operation. Thus the option A is the correct option.

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Answer:

The pink box

Step-by-step explanation:

Answer:

light blue is what i got not so sure if it right tho

:P

Step-by-step explanation:

Answer:

.2778

Step-by-step explanation: