How do I multiplying 4567x89076

Answer:

249.6 square units

Step-by-step explanation:

The surface area of a tetrahedron consists of 4 times the same areas. So we just need to get the area a of the triangle with the given height h = 10.4 and base length b = 12 which is \(a = \frac{b \cdot h}{2} = 62.4\). Multiply with 4 to get the whole thing.

Answer:

b

Step-by-step explanation:

The roots of the given polynomial using the rational zero theorem are;  2, -4 and 6.

We are given the polynomial;

y = x³ - 4x² - 20x + 48

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient (the coefficient of the constant term) is 48

Find its factors (with the plus sign and the minus sign): ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

These are the possible values for p.

The leading coefficient (the coefficient of the term with the highest degree) is 1.

These are the possible rational roots:

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

Checking the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x - a should equal 0 (according to the remainder theorem, this means that P(a)=0

Plugging in those values, the only ones that yield P(a) = 0 are; 2, -4 and 6.

Thus, these are the roots of the given polynomial.

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Answer:

Here are the answers:

\(a = \frac{b}{5} \)

\(y = 40x\)

Answer: y = 60x

Step-by-step explanation:

The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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Answer:

7

Step-by-step explanation:

Let S be the set of all graphs having vertex set  \{1,2,3,4\}. The relation \rho is defined over S such that

the graphs G and H are equivalent provided that they have same number of edges. Then, the number of equivalence classes depends on how many edges can be there in the vertex set \{1,2,3,4\} .

The number of edges is 0 forms a disconnected graph which makes an equivalent class.

The graphs of 1 edge makes an equivalent class.

The graphs of 2 edges makes an equivalent class.

The graphs of 3 edges makes an equivalent class.

The graphs of 4 edges makes an equivalent class.

The graphs of 5 edges makes an equivalent class.

In similar way, the only graph of 6 edges is complete graph which forms another equivalent class.

Hence,the total number of equivalent classes is 7.

Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

13 & 11

Step-by-step explanation:

Let x & y:   x > y   be the two numbers

sum = 24         x + y = 24

Difference       x - y = 2

Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).

Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).

Answer:

hello

Step-by-step explanation:

\(137 = - 151 + t \\ 137 + 151 = t \\ t = 288\)

hope this is correct.

By definition of average acceleration,

a (average) = (3.7 m/s - 14.3 m/s) / (2.0 s) = -5.3 m/s²

Answer:

(1, -5)

Step-by-step explanation:

Solve the system by setting the equations equal to each other, and solving for x:

-7x + 2 = 9x - 14

2 = 16x - 14

16 = 16x

1 = x

So, the x coordinate of the solution will be 1.

Plug in 1 as x into one of the equations, and solve for y

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

y = -5

So, the y coordinate is -5.

The ordered pair solution is (1, -5)

Answer:

Solution in photo

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

10 - 2 = 8

But then again it could be 10 because technically she still has the other two, it's just that they're in her stomach :)

Answer:

yes, a flag is created by sewing it together

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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We want to find the constant of proportionality for a proportional relationship, we will find that the constant of proportionality is 6.

A general proportional relationship is written as:

y = k*x

Where k is the constant of proportionality.

Here, we have the table:

x     y

20  120

18   108

12   72

5    30

Replacing these pairs in the general proportional relationship we can find the value of the constant, for example for the first pair we have:

30 = k*5

30/5 = k = 6

For the second pair we have:

72 = k*12

72/12 = k = 6

That is enough to prove that the constant of proportionality is equal to 6.

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if the area is 6 that means the square is 2 x 3. 2 x 3 x 4. that equals 24.

let me know how you did !

Answer:24 cubic meters

Step-by-step explanation:

Answer:

\(f^{-1}(x)=\frac{x-4}{5}\)

Step-by-step explanation:

1. replace f(x) with x, and x with y:  x=5y+4

2. solve for y: x=5y+4

                 ⇒  x-4=5y

                 ⇒  (x-4)/5=y

3. replace y with f⁻¹(x)

Answer:

Ivan get 90 pounds more than Tanya.

Step-by-step explanation:

Since it's a 4:1 ratio there is 5 parts in total. So i divided the 150 by 5 to get 30. From there i multiplies the 30 by 4 to get Ivan's portion and Tanya only has one portion which is 30. So Ivan has 120 and Tanya has 30, 120-30= 90

Answer:

Ivan gets 120 and Tanya gets 30

Step-by-step explanation:

4 plus 1 is 5. 150 divided by 5 is 30 (Tanya's share) and 150 minus 30 is 120(Ivan's share)

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

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The linear function that represent this problem is 7y = 22x + 127, and the temperature at 11:15am is 53.19 degrees

a.

We can take two points from this to find the slope and y - intercept to determine the linear function.

A(6, 59)

B(13, 81)

The slope of a linear equation has a formula of ;

m = y₂ - y₁ / x₂ - x₁

m = 81 - 59 / 13 - 6

m = 22/7

Using the slope to find the y - intercept, we need just one point;

y = mx + c

59 = 22/7(13) + c

59 = 286/7 + c

c = 59 - 286/7

c = 127/7

The equation can be written as;

y = 22/7x + 127/7

rewriting this;

7y = 22x + 127

b. The temperature at 11.15am

Substituting this into the equation;

7y = 22(11.15) + 127

7y = 372.3

y = 53.19 degrees Fahrenheit

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Translation:

The room temperature at 6 am was 59 degrees Fahrenheit. It was increasing linearly until 1 pm when the thermometer marked 81 degrees. a) Write a linear equation that shows the temperature as a function of time in that interval. b) Calculate with this equation the temperature at 11:15 am. Round to the nearest tenth of a degree Fahrenheit if necessary.

Answer:

5/8

Step-by-step explanation:

Answer:

Step-by-step explanation:4/0

The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

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The ratio of girls to boys would be = 11:9

A ratio is defined as the expression that is used to show the relationship between two different variables.

The number of boys represented = 18 boys

The number of girls represented = 22 girls

To calculate the ratio of girls to boys the following is done;

22 : 18 ( divide through by 2)

11. : 9

Therefore the ratio of girls to boys in the classroom = 11:9

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The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.

Recall that; it follows from metric systems that;

100 centilitres = 1 litres.

On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;

= 0.00005 × 100 centilitres

= 0.005 centilitres.

Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.

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Answer:

it is an function

Step-by-step explanation:

the reason it is a function is because it only crosses the Y axis once

Answer:

16x - 31

Step-by-step explanation:

Write the full equation:

5(8x - 3) +4(-6x - 4)

Distribute:

40x - 15 - 24x - 16

Combine Like Terms:

16x - 15 - 16

Your answer is:

16x - 31

The reason that justifies the second statement "Angle L is congruent to angle T" is:

In a parallelogram, opposite angles are congruent.

Option C is the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram LENS and parallelogram NGTH

Now,

Parallelogram LENS:

∠L = ∠N _____(1)

Opposite angles are equal.

Parallelogram NGTH:

∠N = ∠T ______(2)

Opposite angles are equal.

Now,

∠ENS = ∠GNH

Vertical angles are equal.

So,

From (1) and (2).

∠L = ∠T

Angle L is congruent to angle T

Thus,

Angle L is congruent to angle T

[ In a parallelogram, opposite angles are congruent ].

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