What Does C equal in



\(\sqrt{8c+4}\)


Along with the answer, please provide an explanation on how to do the +4

Therefore, the maximum distance between Emma and Lily over the time interval 0<= t <= 15 is 22.8 units.

To answer this question, we need to know the position functions of Emma and Lily over the time interval 0<= t <= 15. Let's assume that Emma's position function is given by x(t) = 2t^2 + 5t and Lily's position function is given by y(t) = 3t^2 - 6t + 8. To find the maximum distance between Emma and Lily, we need to find the maximum value of the distance function between them. The distance between Emma and Lily at time t is given by D(t) = sqrt((x(t) - y(t))^2). Simplifying this expression, we get D(t) = sqrt((2t^2 + 5t - 3t^2 + 6t - 8)^2) = sqrt((t^2 + 11t + 64)^2). To find the maximum value of D(t) over the interval 0<= t <= 15, we can take the derivative of D(t) and set it equal to 0. After some calculations, we find that the maximum value of D(t) occurs at t = 7.5 seconds, and the maximum distance between Emma and Lily is approximately 22.8 units. Therefore, the maximum distance between Emma and Lily over the time interval 0<= t <= 15 is 22.8 units.

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Given :

Electronic configuration of an electron :

\(1s^2\ 2s^2\ 2p_x^2\ 2p_y^2\ 2p_z^2\ 3s^2 \ 3p_x^2\ 3p_y^2\ 3p_z^2\) .

To Find :

The element having such an electronic configuration .

Solution :

We know , the sum of all the power of s and p in all the orbit gives total number of atoms in elements .

So , atomic number is :

\(Z=2+2+(2+2+2)+2+(2+2+2)\\\\Z=18\)

Since , the atomic number is 18 .

Therefore , the element is Argon .

Hence , this is the required solution .

Answer:

BE=DE and AE=CE (the order of these 2 does not matter)

Vertical Angles

SAS

Step-by-step explanation:

The expression x^2 + 22x + c becomes a perfect square trinomial if the value of c is 121, so the correct option is A.

A perfect square trinomial is written as:

(a + b)^2 = a^2 + 2ab + b^2

Here we have the expression:

x^2 + 22x + c

We can rewrite the second term in such a way that we get:

x^2 + 2*11*x + c

comparing this with the form of the general perfect square trinomial we can see that:

a = x

b = 11

Then the value of c must be 11^2 = 121

Then we have:

x^2 + 2*11*x + 121 = (x + 11)^2

The correct option is A.

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The ionic, covalent, or metallic bonds in the compounds given are identified:

(A) Metallic bonding in steel.

(B) Covalent bonding and propane.

(C) The ionic bonding in calcium chloride.

(D) Covalent bonding in water.

Ionic bonds are created when electrons are transferred from one atom to another.

A metal atom and a non-metal atom join together to form an ionic bond.

A covalent bond is one that is created when electrons are transferred from one atom to another.

Only two or more atoms of a non-metal can create a covalent connection.

Iron and carbon are combined to form steel, which has less than 2% carbon, 1% manganese, and trace amounts of silicon, phosphorus, oxygen, and sulfur.

The bond that forms when metal atoms are kept together is known as a metallic bond.

Steel is comprised of a metallic bond as a result.

The sole atoms in propane's chemical formula are non-metals, giving it the symbol CH₃CH₂CH₃.

Therefore, electron sharing occurs in such atoms, causing covalent bonding to existing.

Consequently, covalent bonds are what make up the propane.

Both metal and non-metal atoms can be found in calcium chloride.

This denotes a transfer of electrons from the calcium atom to the chlorine atom.

As a result, the bond in calcium chloride is an ionic bond.

Chemically, water has the formula H₂O.

Since there are non-metal atoms present, hydrogen and oxygen atoms share electrons in that region. So, water contains covalent bonds.

Therefore, the ionic, covalent, or metallic bonds in the compounds given are identified:

(A) Metallic bonding in steel.

(B) Covalent bonding and propane.

(C) The ionic bonding in calcium chloride.

(D) Covalent bonding in water.

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Answer:

Step-by-step explanation:

Based on your understanding of how bond types influence a material’s properties, identify each of the following compounds as being made of ionic, covalent, or metallic bonds.

Steel: ✔ metallic

Propane: ✔ covalent

Calcium chloride: ✔ ionic

Water: ✔ covalent

equation of the parabola is:
y = (1/12)x^2 - (1/6)x + 49/12
So, the correct answer is not among the given options.

To find the equation of a parabola given the vertex and the directrix, we can use the standard form of the equation for a parabola:

(x - h)^2 = 4p(y - k)

Where (h, k) is the vertex and p is the distance from the vertex to the focus (or the directrix).

Given that the vertex is (1, 4) and the directrix is y = 7, we can determine the value of p. Since the directrix is a horizontal line, the distance from the vertex to the directrix is the same as the distance from the vertex to the focus. Therefore, p = 7 - 4 = 3.

Plugging the values into the standard form equation, we have:

(x - 1)^2 = 4(3)(y - 4)

Simplifying the equation further:

(x - 1)^2 = 12(y - 4)

Expanding the equation:

x^2 - 2x + 1 = 12y - 48

Rearranging the equation:

12y = x^2 - 2x + 49

Dividing by 12:

y = (1/12)x^2 - (1/6)x + 49/12

Therefore,  equation of the parabola is:

y = (1/12)x^2 - (1/6)x + 49/12

So, the correct answer is not among the given options.

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The true statement is (b) Xavier used 15 oz of pineapple to with 24 oz of orange juice

From the question, we have the following parameters that can be used in our computation:

The graph that represents the ratio of orange juice to pineapple juice

The graph passes through the origin

So, we have

slope = 16/10

Evaluate

slope = 1.6

When pineapple juice is 15, we have

orange = 15 * 1.6

orange = 24

Hence, the true statement is b

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Answer: (1/4 + 1/8) x (2/3-5/6)

Step-by-step explanation:

The sum of 1/4 and 1/8 times the difference between 2/3 and 5/6

a) The line of symmetry for function f is x = 2, and the line of symmetry for function g is x= 1

b) The y-intercept of function f is is greater than the y-intercept of function g

c) Over the interval [2,4], the average rate of change of function f is less than the average rate of change of the function g

Here, we want to compare some important properties for both functions

We have it as the folllowing;

a) Line of Symmetery

The line of symmetery is that line that divides the quadratic graph into two equal parts of right and left

For the function f, the line of symmetry is x = 2 while the line of symmetry for function g is also x = 1

b) y-intercept

The y-intercept of the function refers to the point at which the graph/plot touches the y-axis

It is the point at which x is 0

For function f, the y-intercept is y = -5

For function g, the y-intercept is y = -6

c) Average rate of change

The average rate of change of a function over an interval [a,b] can be calculated using the formula;

According to thisn question, a is 2 while b is 4

For the function f; f(2) is -9 while f(4) is -5

For the function g; g(2) is -6 while g(4) is 2

So the average rate of change for the function f on the interval is;

For the function g, the average rate of change on the interval is;

There are 13.5 cubic meters of water in Mr. Johnson's pool.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

To find the volume of water in Mr. Johnson's pool, we need to multiply the length, width, and depth of the pool. The length is 2.5 meters, the width is 4.5 meters, and the depth of water is 1.2 meters.

So, the volume of water in Mr. Johnson's pool is:

2.5 meters x 4.5 meters x 1.2 meters = 13.5 cubic meters

Therefore, there are 13.5 cubic meters of water in Mr. Johnson's pool.

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Ten bananas and ten pears will run you about £4.537.

Simultaneous equations are two equations with two unknown variables. From the given question;

If three bananas and two pears cost 95p and Five bananas and three pears cost £1.51, the equivalent equations will be:

3b + 2p = 0.95 * 3

5b + 3p = 1.51 * 2

Solve simultaneously;

6b + 6p = 2.85

10b + 6p = 3.02

Subtract

-4b = -0.17
b = 0.17/4

b = £0.0425

Since 3b + 2p = 0.95, hence

3(0.0425) + 2p = 0.95

0.1275 -0.95 = -2p

2p = 0.8225

p = 0.4112

The cost of  ten bananas and ten pears will be:

Cost = 10(0.0425) + 10(0.4112)
Cost  = 0.425 + 4.112
Cost = £4.537

Hence the cost of ten bananas and ten pears is approximately £4.537

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Answer:

It's A and B

Step-by-step explanation:

Since she took 75% off of her commute time, she has 25% left. 25% as a decimal is 0.25 and 0.25 as a decimal is 1/4.

Also, since it says choose two answers, C and D are not equal to each other.

Answer:

130 miles

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Actual distance = 31/4 x 40

convert 31/4 to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

13/4 x 40 = 130 miles

A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.

A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.

Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.

The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.

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1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet

 Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

  Area = 3*.5 = 1.5, 3*2=6,  6+1.5 = 7.5 square meters

3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

  Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches  

4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards

Volume = π*6^2*20 = 2261.9 cubic yards

5.surface area = 2*(9*7+2*2+2*9) = 190 cm

Volume = 2*7*9 = 126 cubic cm

6. surface area = 2*(11*11+11*11+11*11) = 726 mm

 Volume = 11 *11*11 = 1331 cubic cm

The actual distance between the two cities is 60 miles.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distance of 15 miles on a map is represented by 2 inches.

This means,

2 inches = 15 miles

Divide both sides by 2.

1 inch = 7.5 miles

Multiply 8 on both sides.

8 inches = 8 x 7.5 miles

8 inches = 60 miles

Thus,

The actual distance is 60 miles.

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Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. When the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Average and rms values for the function y(t)=25+10sin6πt over the time periods (a) 0 to 0.1 s, (b) 0.4 to 0.5 s, (c) 0 to 1/3 s, and (d) 0 to 20 s are as follows:

a) For t=0 to t=0.1s:

Average value, y_avg = 25

RMS value, y_RMS = 25.1987

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

b) For t=0.4 to t=0.5s:

Average value, y_avg = 25

RMS value, y_RMS = 28.2843

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

c) For t=0 to t=1/3 s:

Average value, y_avg = 25

RMS value, y_RMS = 23.7176

Comment: RMS value is less than the average value. This means that the signal has a lesser amount of high-frequency content. It can be inferred that the function y(t) oscillates slowly.

d) For t=0 to t=20 s:

Average value, y_avg = 25

RMS value, y_RMS = 25

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. Comment on the nature and meaning of the results in terms of analysis of dynamic signals.The results indicate that the function y(t) oscillates rapidly at the start and end of the time period and slowly in the middle. When the RMS value is greater than the average value, it means that the signal has a considerable amount of high-frequency content.

On the other hand, when the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Furthermore, if the RMS value is equal to the average value, it means that the signal does not have any high-frequency content.

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Answer:

101.50

Step-by-step explanation:

Answer:

$101.50

Step-by-step explanation:

7% of 1450 = 0.07 × 1450 = 101.5

Answer: B.

Step-by-step explanation:

a. The width of the gap is 2cm

b. There are two ways Mr Goh can stack up 20 completed stools. And the lowest possible height is 4.8 metres.

Length of A = 3/8 × 64cm

Length of A = 24cm

Given that the volume of B and C is the same, then:

total length of B and C = 64cm - 24cm

total length of B and C = 40cm

length of B = 20cm and length of C = 20cm

a. The width of the gap in the stool is calculated by subtracting the width of B and C from the length of A

24cm - 22cm = 2cm

b. 20 completed stools can be stacked either standing or by it sides, so they can be stacked in two ways.

height of stacking 20 stools standing = 20 × (20 + 11)cm = 620cm

height of stacking 20 stools by its side = 20 × 24cm = 480cm

620cm = 6.2m

480cm = 4.8m

Therefore, the width of the gap is 2cm. There are two ways Mr Goh can stack up 20 completed stools. And the lowest possible height is 4.8 metres.

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The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5.

The chi-square statistic is a measure of how different an observed frequency is from the expected frequency. It is calculated by taking the difference between the observed and expected frequency in each cell, squaring it, and then summing the results. This measure can then be compared to a chi-square distribution with degrees of freedom equal to the number of cells minus one. If the calculated statistic is larger than the expected value from the chi-square distribution, then it can be concluded that the observed frequency differs significantly from the expected frequency.
In order to use the chi-square approximation, it is important that the expected frequency in each cell is at least 5. This is because the chi-square approximation only works well when there are large expected frequencies. When expected frequencies are smaller than 5, the chi-square statistic is not an accurate measure of the difference between the observed and expected frequencies.

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The ratio of sugar to flour is 8:5. The amount of sugar present in the recipe is 24 table spoon.

Therefore,

total ratio = 13

total table spoon = a

Answer:

Step-by-step explanation:

The first step is to put the data in order, as shown in the diagram below

Five summaries of Town A

Lowest Value = 10

Lower Quartile,  = 16.5 (The value falls between 16 and 17)

Median,  = 25

Upper Quartile,  = 40 (The middle value between 38 and 42)

Highest value = 42

Five summaries of Town B

Lowest value = 0

Lower Quartile,  = 4 (The middle value between 0 and 8)

Median,  = 9

Upper Quartile,  = 20 (The middle value between 19 and 21)

Highest Value = 30

The box plot for two towns is shown in the diagram below.  

Town A box plot is not symmetrical, it's tailing on the left

Town B box plot is not symmetrical, it's tailing on the right

Answer:

a)

\(2.5 = ( \frac{1 + e}{1 - e} ) \sqrt{ \frac{1.25}{5} } \)

\(2.5 = (\frac{1 + e}{1 - e} ) \sqrt{.25} \)

\(2.5 = .5( \frac{1 + e}{1 - e} )\)

\( \frac{1 + e}{1 - e} = 5\)

\(1 + e = 5(1 - e )\)

\(1 + e = 5 - 5e\)

\(6e = 4\)

\(e = \frac{2}{3} \)

b)

\(t = ( \frac{1 + \frac{2}{3} }{1 - \frac{2}{3} } ) \sqrt{ \frac{1.8}{5} } \)

\(t = 5 \sqrt{.36} = 5(.6) = 3\)

So t = 3 seconds.

c)

\( 3.5 = ( \frac{1 + \frac{2}{3} }{1 - \frac{2}{3} } ) \sqrt{ \frac{h}{5} } \)

\(3.5 = 5 \sqrt{ \frac{h}{5} } \)

\(.7 = \sqrt{ \frac{h}{5} } \)

\(.49 = \frac{h}{5} \)

\(h = 2.45\)

So h = 2.45 meters.

The value of e is 0.6,  the rubber ball will bounce for 3.6 seconds when it is dropped from a height of 1.8 m and , the rubber ball was dropped from a height of 2.25 meters.

When the rubber ball is dropped from a height of 1.25m, it bounces for 2.5 seconds.

Thus, h = 1.25 m and t = 2.5 s.

Substituting these values in the formula, we get:

\(2.5 = \left(\frac{1+e}{1-e}\right)\sqrt{\frac{1.25}{5}}\)

Squaring both sides, we get:

\(6.25 = \frac{(1+e)^2}{(1-e)^2} \frac{1.25}{5}\)

Simplifying the above equation, we get:

e = 0.6

We need to find the time taken for the rubber ball to stop bouncing when it is dropped from a height of 1.8 m.

Thus, h = 1.8 m.

Substituting the value of h and e in the formula, we get:

\(t = \left(\frac{1+0.6}{1-0.6}\right)\sqrt{\frac{1.8}{5}}\)

Simplifying the above equation, we get:

t = 3.6 seconds

We need to find the height from which the rubber ball was dropped when it bounces for 3.5 seconds.

Thus, t = 3.5 s.

Substituting the value of t and e in the formula, we get:

\(3.5 = \left(\frac{1+0.6}{1-0.6}\right)\sqrt{\frac{h}{5}}\)

Simplifying the above equation, we get:

h = 2.25

Hence, the value of e is 0.6,  the rubber ball will bounce for 3.6 seconds when it is dropped from a height of 1.8 m and , the rubber ball was dropped from a height of 2.25 meters.

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Answer:

5y = x

Step-by-step explanation:

15 miles = 3 hours

Divide by 3 on both sides to find how many miles he/she can run in 1 hour.

15 miles = 3 hours ⇒ 5 miles = 1 hour

Therefore, the equation is just 5y = x.

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The conversion 336g to m³ is impossible because they measure different units

From the question, we have the following parameters that can be used in our computation:

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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In her presentation, Alaina can use a pie chart to show information about how the typical college student spends their day.

A circular chart that has been divided into sectors or "pie slices" to represent numerical proportions is known as a pie chart. Each pie slice symbolises a percentage, and each slice's size is proportional to the percentage it represents.

In this instance, Alaina can separate the pie chart into four segments that stand in for the various activities that college students engage in throughout the day: sleeping, attending classes, studying, and participating in extracurricular activities. She can give each slice a unique colour and a label indicating the proportion it represents.

The pie chart, for instance, might have the following slices:

-30% of people are sleeping (blue).

- 20% of the class (in green)

20% of study time (coloured)

30% of time for socializing

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Answer:

by pythqgoras theorem

Step-by-step explanation:

b=12

c=5