Don’t answer this question?

Answers

Answer 1

Answer:

Why not and what??

Step-by-step explanation:

Answer 2

wait why is that and also that not even a question


Related Questions

Solve for y.
45-45-90
Please helpl

Answers

Answer:

y = 12

Step-by-step explanation:

I believe that you can use the geometric mean theorem to solve for y

y is the geometric mean of the segments of the hypotenuse, so

24/y = y/6

simplify using means and extremes property: y^2 = 144

simplify: y=12

the unit vector that makes an angle u = 2p>3 with the positive x-axis

Answers

The unit vector that has an angle θ= 2π/3 with the positive x-axis can be represented in component form as: (x, y) = (-1/2, √3/2).

The unit vector that makes an angle θ= 2π/3 with the positive x-axis can be represented as a vector in the form of (x, y) components. To solve for the components of this vector, we must use trigonometric functions. Using the trigonometric function SOH-CAH-TOA, we will solve for the components of the unit vector.

The x-component of the vector can be found using the SOH CAH TOA formula and the angle θ= 2π/3:

x-component = cos(2π/3)

Plugging in the angle yields: x-component = cos(2π/3) = -1/2

The y-component of the vector can be found using the SOH CAH TOA formula and the angle θ= 2π/3:

y-component = sin(2π/3)

Plugging in the angle yields: y-component = sin(2π/3) = √3/2

Therefore, the unit vector that has an angle θ= 2π/3 with the positive x-axis can be represented in component form as: (x, y) = (-1/2, √3/2).

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"Your question is incomplete, probably the complete question/missing part is:"

Find the component form of the vector: the unit vector that makes an angle theta=2pi/3 with the positive x-axis.

find the general solution of the given differential equation. x dy dx (4x 1)y = e−4x

Answers

The general solution of the given differential equation is y = sin x + c. cos x

What is Equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

cos (x) dy/dx +sin (x) y =1

now, divide with cos x on both the sides

cos(x)/cos x dy/dx + sinx.y/cos x = 1/cos x

dy /dx + sinx/cosx .y = 1/cos x

= dy/dx +tanxy =secx

the above equation is linear differentiation equation in y

so, now integrating factor

IF= secx

now the solution is

y secx = (secx .secxdx+c)

y secx = (sec[tex]x^{2}[/tex]dx+c)

= y* secx = tanx+c

y = 1/secx(tanx+c)

y = cos x (tanx+c)

we know that, tanx = sinx/cosx

y = cosx(sinx/cosx +c)

y = cos x .sinx/cosx +cosx (c)

Solution of the given differential equation y = sin x + c. cos x

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a particular city is serviced by three airlines for its passenger traffic. airline a carries 50% of the passengers, airline b 30%, and airline c the remaining 20%. each of the airlines is responsible for handling its security. the probabilities that a passenger carrying some type of weapon will be detected by airlines a, b, and c are 0.9, 0.5, and 0.4, respectively. if a weapon was detected on a passenger, what is the probability that airline b detected it?

Answers

The probability that airline b detected it will be 0.22.

The probability that airline B detected the weapon can be calculated using Bayes' Theorem, which states that:

P(airline B detected the weapon | weapon detected) = P(weapon detected | airline B detected the weapon) * P(airline B) / P(weapon detected)

where P(airline B) is the prior probability that a passenger was serviced by airline B (30%) and P(weapon detected) is the total probability that a weapon was detected (sum of the probabilities that a weapon was detected by each airline).

The numerator can be calculated as P(weapon detected | airline B detected the weapon) * P(airline B) = 0.5 * 0.3 = 0.15.

The denominator can be calculated as the sum of the probabilities that a weapon was detected by each airline, weighted by their respective prior probabilities:

P(weapon detected) = P(weapon detected | airline A detected the weapon) * P(airline A) + P(weapon detected | airline B detected the weapon) * P(airline B) + P(weapon detected | airline C detected the weapon) * P(airline C)

= 0.9 * 0.5 + 0.5 * 0.3 + 0.4 * 0.2

= 0.45 + 0.15 + 0.08

= 0.68

Finally, the answer is P(airline B detected the weapon | weapon detected) = 0.15 / 0.68 = 0.22.

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1-1 reteach to build understanding key features of functions

Answers

Domain is (-∞,∞) and Range is (-16,∞) and -16 is the lowest possible value of the function.

What is the domain and range of a function?

The provided function is,

f(x) = x² - 16 → (1)

Because the coefficient of is x² positive, it is an upward parabola.

A parabola's vertex form is

f(x) = a(x - h)²  + k → (2)

an is the constant, and (h,k) is the vertex.

(1) and (2) result in,

a = 1, h = 0, k = -16

As a result, the vertex of the parabola is (0,-16).

The following are key features:

For all x values, the given function is defined. So,

Domain = (-∞,∞)

The value of an upward parabola function cannot be less than the y-coordinate of its vertex.

Range = (-16,∞)

Minimum Value = vertex's y-coordinate = -16

It is a quadratic function.

For f(x)=0,

= x² - 16

16 = x²

x = ± 4

As a result, the x-intercepts are -4 and 4.

decreasing function before vertex = (-∞,0)

The function that increases after the vertex = (0,∞)

For x=0,

f(0) = (0)² - 16

= -16

As a result, the y-intercept is -16.

Positive Function = (-∞,-4) ∪ (4,∞)

Negative function = (-4,4)

Domain Increasing Interval = (0,∞)

Range of decreasing intervals = (-∞,-16)

The complete question:

"1-1 Reteach to Build Understanding

Key Features of Functions

Linear, quadratic, and absolute-value functions can be graphed using key features

that the equation identifies. Key features can be labeled using either set builder

notation or interval notation. Interval notation represents a set of real numbers by

a pair of values. Parentheses are used when the points are not included. Brackets

are used for when a boundary point is included.

1. Use the function f(x) = x2 – 16 and identify the key features that are listed in

the table for the graph. Label the graph with the key features.

Key Feature

Domain

Range

Minimum Value

Function is Function is

x-intercept

decreasing increasing

10

y-intercept

LEAD) 14.0VA

Function is Positive

-2 O

Function is Negative

TO

Interval Increasing

Domain:

Interval Decreasing

Range:

-20160-16)."

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The angle bisectors of are , , and . They meet at a single point .
(In other words, is the incenter of .)
Suppose TV=22, CV=27, TCU=52, SAV=46 and .
Find the following measures.
Note that the figure is not drawn to scale.

Answers

The measure of∠SAU = 92°,

SV  = 22, ∠SBV = 18°.

What are triangles?

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is that the sum of its internal angles to 180 degrees. This quality is referred to as the angle sum property of triangles.

Given  a triangle ABC

and AV, BV, and CV are angle bisectors,

TV = 22 and CV = 27

∠TCU = 52°, ∠SAV = 46°

A: to find ∠SAU,

as we know angle bisector divides an angle into two equal parts,

so ∠SAV = ∠VAU = 46°

∠SAU = ∠SAV + ∠VAU

∠SAU =  46 + 46 = 92°

B: to find ∠SBV,

we have ∠SAU =  92° and ∠TCU = 52°

from angle sum property,

∠SAU + ∠TCU +  ∠SBT = 180°

∠SBT + 92 + 52 = 180

∠SBT = 180 - 92 - 52

∠SBT = 36°

so  ∠SBV = ∠BVT = ∠SBT/2 (due to angle bisector)

∠SBV = ∠BVT = 36/2

∠SBV = ∠BVT = 18°

C: to find SV,

since V is the incenter, Due to the junction point of the central axis being the center of the triangle's inscribed circle, this point will be equally spaced from each of the triangle's sides.

so TV = UV = SV  = 22

Hence ∠SAU = 92°,

SV  = 22,

∠SBV = 18°

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You and a group of friends want to know how many students in your
school prefer rap music. There are 320 students in your school. Each person
in the group randomly surveys 20 students. The table shows the results.
Favorite Type of Music
Pop
1
1
2
3
1
Country
4
5
7
3
4
Rock
5
4
3
5
2
Rap
10
10
8
9
13
a. Use each sample to make an estimate for the number of students in your
school who prefer rap music.
B. Describe the center of variation of the estimates

Answers

The number of Students like folk music but not rock music  = 30 + 6 = 36

What is meant  by percentage?10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified.In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100). 16-Jan-2023

There are 190 pupils overall.

Let R, F, and C stand for a group of students who enjoy classical, folk, and rock music, respectively.

I The percentage of students who don't like any of the three types

= 190 - (90 + 9 + 5 + 10 + 30 + 6 + 20)

= 190 - 170 = 20

(ii) The number of Students like any two types only. = 9 + 6 + 10 = 25

(iii) The number of Students like folk music but not rock music

= 30 + 6 = 36

The complete question is:

A radio station surveyed 190 students to determine the types of music they liked. The survey revealed that 114 liked rock music, 50 liked folk music and 41 liked classical music, 14 liked rock music and folk music, 15 liked rock music and classical music, 11 liked classical music and folk music, 5 liked all the three of music.

Find:

(i) How many did not like any of the 3 types?

(ii) How many liked any two types only?

(iii) How many liked folk music but not rock music?

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5 1/4a=7/8 just put the answer in fractions not in decimals, please!

Answers

Step-by-step explanation:

a =

[tex] \frac{1}{6} [/tex]

1. Last month, Jonah sent sixteen more than one-
third the number of text messages that his friend
Connor sent. If Jonah sent 73 text messages,
how many did Connor send?
Date:

Answers

The total number of text messages Connor sent last month is 171 text messages.

How many text messages did Connor send?

Number text messages Jonah sent = 73

Number of text messages Connor sent = x

So,

1/3x + 16 = 73

Subtract 16 from both sides

1/3x = 73 - 16

1/3x = 57

divide both sides by 1/3

x = 57 ÷ 1/3

multiply by the reciprocal of 1/3

x = 57 × 3/1

x = 171 text messages

Therefore, last month, Connor sent 171 text messages.

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copy the probloem mark the givens in the diagram and write a statement reason proof if SA ∥ NE , SE ∥ NA , prove SA ≅ NE . WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

In circle O, AC and BD are diameters.

Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle C O C into 2 equal angle measures of x. Angles A O C and B O C also have angle measure x.

What is mArc A B?

72°
108°
120°
144°

Answers

Answer: the measure of arc A B is 180°.

Step-by-step explanation:

mArc A B = mArc B O + mArc O A Because line segments B D and A C are diameters, they are also chords of the circle and therefore bisect each other. This means that angle A O C and angle B O C both measure x.

A radius drawn to cut angle C O C into 2 equal angle measures of x, it means that angle C O C measure 2x. So, arcs A O and B O are also equal.

Since angle A O C and angle B O C both measure x, and arcs A O and B O are equal, it means that mArc A B = mArc B O + mArc O A = x + x = 2x

As angle C O C measure 2x, and x angle measures are equal to each other. It means that x = (2x)/2 = x = angle C O C/2 = (180°)/2 = 90°

So, mArc A B = 2x = 2(90°) = 180°

Therefore, the measure of arc A B is 180°.

Which rate is the best deal on a box of cereal? Hint: Think about which deal is the cheapest. Answers include (A.$3.20 for 20 ounces B.$4.50 for 25 ounces C.$5 for 40 ounces) (no need to help anymore)

Answers

Answer: C; $5 for 40 ounces

Step-by-step explanation: To find the lowest cereal amounts, we need to find the unit price. To find the unit price, you ALWAYS divide the price by the amount. In this case, we need to divide the money by the ounces. So, the prices for each (in cents) are:

[tex]\frac{3.20}{20} = 0.16[/tex]

[tex]\frac{4.50}{25} = 0.18[/tex]

[tex]\frac{5}{40}[/tex] ≈ 0.13 (0.125)

So, the decimals are the prices (in cents) and the last one was 0.125, but we need to round up to the nearest cent. This would be $0.13. This makes the 40 ounces of cereal for $5 the cheapest of the 3 deals. I hope this helped!

south carolina makes license plates with the configuration digit, letter, digit, letter, digit, digit. how many different license plates can south carolina produce?

Answers

South Carolina can produce 26x26x10x10x10 = 676,000 different license plates with the configuration digit, letter, digit, letter, digit, digit.

Permutations are arrangements of objects in a specific order. For example, if you have the letters A, B, and C, the possible permutations are ABC, ACB, BAC, BCA, CAB, and CBA. Permutations are often used to calculate the total number of possible combinations for a given set of objects, as each permutation is a unique combination. For example, if you have three letters and three digits, the total number of permutations is 26x10x10x26x26x10 = 17576000.

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at a certain stage of a criminal investigation, the inspector in charge is 60% convinced of the guilt of a certain suspect. suppose, however, that a new piece of evidence which shows that the criminal has a certain characteristic (such as left-handedness, baldness, or brown hair) is uncovered. if 20% of the population possesses this characteristic, how certain of the guilt of the suspect should the inspector now be if it turns out that the suspect has the characteristic? you may suppose that the probability of the suspect having the characteristic if they are, in fact, innocent is equal to 0.2, the proportion of the population possessing the characteristic.

Answers

The probability that the inspector in-charge is convinced that the suspect is guilty given he/she has brown hair is 0.882.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes

[tex]P(C)[/tex] [tex]=P(C \mid G) P(G)+P(C \mid G c) P(G c)[/tex] = (1) (0.6) + (0.2) (0.4) =0.68

This is then used to update the inspector's belief in the suspect's guilt posterior to discovering that the suspect does have that characteristic.

[tex]$$\begin{aligned}& P(G \mid C)=(P(G) P(C \mid G)) / P(C) \\& =\frac{1(0.6)}{0.68} \\& =0.882\end{aligned}$$[/tex]

Therefore, the probability that the inspector in-charge is convinced that the suspect is guilty given he/she has brown hair is 0.882.

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find the product and list the unit of 8hx$9/h

Answers

The product is equivalent to $72 and its unit is $

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The rate,

8hx$9/h

In simple words,

$9 per hour for 8 hours.

Now, for 1 hour, the cost is $9.

Therefore, for 8 hours,

It can be written as -

x = 9 x 8

x = $72

Hence, the product is equivalent to $72.

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The length of the side of a triangle are the ratio 2:5:8. The perimeter of the triangle is 60 cm. Find the length of each side of the triangle.

Answers

Answer:

The first side = 2x = 2(4) = 8 cm

The second side = 5x = 5(4) = 20 cm

The third side = 8x = 8(4) = 32 cm

Step-by-step explanation:

We can use the fact that the ratio of the sides of the triangle is 2:5:8 and the perimeter of the triangle is 60 cm to find the length of each side of the triangle.

First, we can use the ratio to find the ratio of the perimeter to the sides of the triangle: 2:5:8. Since the perimeter is 60 cm, we can set up the following equation:

2x + 5x + 8x = 60

where x represents the length of one side of the triangle in cm.

We can then simplify the equation:

15x = 60

To find the value of x, we can divide both sides of the equation by 15:

x = 4

So each side of the triangle is 4 cm long.

Therefore,

The first side = 2x = 2(4) = 8 cm

The second side = 5x = 5(4) = 20 cm

The third side = 8x = 8(4) = 32 cm

Last year, there were 50 students in a class. This year, there are 15% more students. How many students are in the class this year?​

Answers

50 x 0.15 = 7.5 + 50 = 57.5 = 58 students

Step-by-step explanation:

for % problems always try to identify explicitly 100% and/or 1%.

everything else can be easily calculated out of that.

we need to find a 15% increase. of what ? that is the 100% in question.

so,

100% = 50

1% = 100%/100 = 50/100 = 0.5

15% = 1% × 15 = 0.5 × 15 = 7.5

so, 50 + 15% = 50 + 7.5 = 57.5

now, we could simply round (as a half-person or student does not make any sense).

the problem with the rounding is the small number of students overall.

if we round normally, we get 58 students.

but that are 8 students more, and 8 students are (remember, 1% = 0.5)

8/0.5 = 16%

if we round down, we get 57 students.

but that are 7 students more, and 7 students are

7/0.5 = 14%

so, every rounding to "whole students" actuality changes the % significantly.

there is no way to have 15% more students given the small number of students. only 14% more or 16% more.

if you need to give a number, do the normal rounding : 58.

but many greetings to your teacher with my additional comments.

FYI

once you understand the principle behind the % calculation, there are shortcuts to the calculations by combining 2 steps into 1 step :

x% of y is

y×x/100

or

y×0.x

in our case

50×0.15 = 7.5

x% added to y is

y×1.x

in our case

50×1.15 = 57.5

because

50 + 0.15×50 = (1 + 0.15)×50 = 1.15×50 = 57.5

A 4.5 kg block of ice with a temperature of -10∘C is placed on a large stone slab with a temperature of +10∘C. The stone slab is so large that its temperature does not change. The ice and the slab are isolated from the rest of the universe. Part A What is ΔSice as the system comes to equilibrium? Express your answer with the appropriate units. ΔSice = ? Part B What is ΔSstone as the system comes to equilibrium? Express your answer with the appropriate units. ΔSstone = ? Part C What is ΔStot as the system comes to equilibrium? Express your answer with the appropriate units.

Answers

A) The change in entropy of the ice is 0.346 kJ/K.

B) The change in entropy of the stone slab is -1.257 kJ/K.

C) The total change in entropy of the system is -0.911 kJ/K.

Part A:

The change in entropy of the ice can be calculated using the formula:

ΔS_ice = Q_ice / T

where Q_ice is the heat transferred to the ice and T is the temperature at which the heat transfer occurs.

In this case, the ice is absorbing heat from the stone slab until it reaches thermal equilibrium.

The amount of heat transferred can be calculated using the formula:

Q_ice = m_ice c_ice ΔT

where, m_ice is the mass of the ice, c_ice is the specific heat of ice, and ΔT is the change in temperature of the ice.

Since the ice is initially at -10∘C and the final temperature is 0∘C (the melting point of ice), ΔT is 10∘C.

Substituting these values into the equations, we get:

Q_ice = (4.5 kg) (2100 J/kg⋅K) (10 K)

          = 94.5 kJ

ΔS_ice = Q_ice / T = (94.5 kJ) / (273 K)

           = 0.346 kJ/K

Therefore, the change in entropy of the ice is 0.346 kJ/K.

Part B:

The change in entropy of the stone slab can be calculated using the same formula as before:

ΔS_stone = Q_stone / T

where, Q_stone is the heat transferred to the stone and T is the temperature at which the heat transfer occurs.

In this case, the stone is losing heat to the ice until both reach thermal equilibrium.

The amount of heat transferred can be calculated using the same formula as before:

Q_stone = m_stone c_stone ΔT

where m_stone is the mass of the stone slab, c_stone is the specific heat of the stone, and ΔT is the change in temperature of the stone.

Since the stone slab is initially at +10∘C and the final temperature is 0∘C, ΔT is 10∘C.

Substituting these values into the equations, we get:

Q_stone = -(4.5 kg) (790 J/kg⋅K) (10 K) = -355.5 kJ

ΔS_stone = Q_stone / T = (-355.5 kJ) / (283 K) = -1.257 kJ/K

Therefore, the change in entropy of the stone slab is -1.257 kJ/K.

Part C:

The total change in entropy of the system can be calculated by adding the changes in entropy of the ice and the stone slab:

ΔS_tot = ΔS_ice + ΔS_stone

Substituting the values we calculated earlier, we get:

ΔS_tot = 0.346 kJ/K + (-1.257 kJ/K) = -0.911 kJ/K

Therefore, the total change in entropy of the system is -0.911 kJ/K.

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Write a system of equations that has no solution.

Answers

Answer:

A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. A system of linear equations that has no solution is called an inconsistent pair of linear equations.

Marco is 450 m due east of the centre of the park: His friend Ray ` is 450 m due south of the centre of the park; Which is the correct expression for the exact distance between the two boys? 2254/2 m 450N2 m 450 1 What is the exact value for tan (2409)2 -N3

Answers

The exact value for the tangent of 240° is -0.422618261740699.  The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. In order to calculate the tangent of 240°, first, find the ratio of the length of the opposite side to the length of the adjacent side. Then, use a calculator to convert the ratio into a decimal. To do this, simply divide the length of the opposite side by the length of the adjacent side. The decimal that is produced is the exact value for the tangent of 240°. In this case, the value is -0.422618261740699.

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what is the linear charge density of a thin wire bent into a circle

Answers

The linear charge density of a thin wire bent into a circle remains constant, due to the fact that the linear charge density is determined by the number of electrons in the wire and the length of the wire.

Linear charge density refers to the amount of charge per unit length of a charged object.

In the case of a thin wire bent into a circle, the linear charge density remains constant despite the change in shape.

The reason for this is that the linear charge density is determined by the number of electrons in the wire and the length of the wire.

When the wire is bent into a circle, the length of the wire remains constant, while the number of electrons remains the same. As a result, the linear charge density remains constant.

It is important to note that the total charge in the wire changes when it is bent into a circle. The total charge is equal to the product of the linear charge density and the circumference of the wire.

So, while the linear charge density remains constant, the total charge in the wire increases as the wire is bent into a circle.

Complete Question:

What is the linear charge density of a thin wire bent into a circle (or ring) of radius if the total charge on the wire is constant?

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if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen?

Answers

There are 69300 possible ways of selecting six bottles randomly with two bottles of each variety.

Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. In the given question, we have to select 6 bottles randomly with two bottles of each variety,

= ¹⁰C₂× ⁸C₂ × ¹¹C₂

¹⁰C₂= [1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10] / [(1 × 2)(1 × 2 × 3 × 4 × 5 × 6 × 7 × 8)]

= 90/2

= 45

Similarly,  ⁸C₂  = 28

In the same way ¹¹C₂= 55

= ¹⁰C₂× ⁸C₂× ¹¹C₂

= 45 × 28 × 55

= 69300

Therefore, there are 69300 possible ways of selecting 6 bottles with two bottles of each variety.

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don’t understand this.

Answers

Answer:

see explanation

Step-by-step explanation:

3

(f + g)(x)

= f(x) + g(x)

= 2x² - 4x - 5 + 3x - 13 ← collect like terms

= 2x² - x - 18

4

(f - g)(x)

= f(x) - g(x)

= 2x² - 4x - 5 - (3x - 13) ← distribute parenthesis by - 1

= 2x² - 4x - 5 - 3x + 13 ← collect like terms

= 2x² - 7x + 8

Angela ran a total of 104.3 minutes in 7 days. If she ran for the same amount of time each day, how many minutes did she run per day?

Answers

Answer:

14.9 minutes per day

Step-by-step explanation:

We know

Angela ran 104.3 minutes in 7 days

How many minutes did she run per day?

104.3 divided by 7 = 14.9 minutes per day

So, she ran 14.9 minutes per day.

A weather balloon is spotted from two angles of elevation, 57° and 83°, from
tracking stations A and B in the diagram below. The tracking stations are 15 km
apart. Determine the distance from tracking station A to the balloon, rounded to
the nearest kilometre.

Answers

The average of these two values is the final answer:

d = (7.5 + 3.38) / 2 = 5.44 km, rounded to the nearest kilometre, the distance is 5 km.

How to solve the problem?

To determine the distance from station A to the balloon, you can use the tangent function. The formula is: d = h / tan(angle of elevation), where d is the distance, h is the height of the balloon, and angle of elevation is the angle between the line of sight from the observer to the balloon and the horizontal.

Using the first angle of elevation (57°), we can calculate the distance as:

d = h / tan(57°) = h / 1.998 = 15 / 1.998 = 7.5 km

Using the second angle of elevation (83°), we can calculate the distance as:

d = h / tan(83°) = h / 4.398 = 15 / 4.398 = 3.38 km

The average of these two values is the final answer:

d = (7.5 + 3.38) / 2 = 5.44 km, rounded to the nearest kilometre, the distance is 5 km.

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Please help, I'm having a hard time.​

Answers

Answer: $4.28

Step-by-step explanation:

We can set up the following equation to find the cost of the admission of play:

(14 students x $2x admission) + (14 students x $2 program) = (22 students x $x admission) + (22 students x $4 program)

We know the admission cost for the play is twice that of the musical, so we can substitute that into the equation:

(14 students x $2x admission) + (14 students x $2 program) = (22 students x ($2x/2) admission) + (22 students x $4 program)

Simplifying the equation:

28x + 28 = 22x + 88

Solving for x:

28x + 28 = 22x + 88

28x - 22x = 88 - 28

6x = 60

x = 60/6

So, x = 10 is the solution of the equation.

And I got $2.14 from x = 60/28 = 2.14

That was the value that makes the equation true in the first step (14 students x $2x admission) + (14 students x $2 program) = (22 students x $x admission) + (22 students x $4 program)

So x = 2.14 is the price of the musical admission.

x = $2.14

Therefore, the admission cost for each student that is going to the play is $2x = $2.14 x 2 = $4.28.

The diameter of a cone's circular base measures 10 inches, and the slant height of the cone is 8 inches.

What is the approximate surface area of the cone?

Responses

Answers

The approximate surface area of a cone is 204 inches².

What is a cone?

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

The surface area of a cone is πr (r + √(h² + r²) )

Now,

Diameter = 10 inches

Radius = 5 inches

Slant height = 8 inches

Now,

The surface area of a cone is πr (r + √(h² + r²) )

Slant height = √(h² + r²) = 8 inches

So,

= πr (r + √(h² + r²) )

= π x 5 (5 + 8)

= 3.14 x 5 x 13

= 204 inches²

Thus,

The surface area of a cone is 204 inches².

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The approximate surface area of the cone is 227 square inches.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The diameter of a cone's circular base measures 10 inches

Radius of cone is 5 inches.

Slant height = 8 inches

A=πr(r+√h²+r²)

A=3.14×5(5+√64+25)

A=3.14×5(5+√89)

A=3.14×5(5+9.43)

A=3.14×5(14.43)

A=226.61

Hence, the approximate surface area of the cone is 227 square inches.

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evaluate the difference quotient for the given function. simplify your answer. f(x) = −x3, f(a h) − f(a) h

Answers

The difference quotient is equal to -3a2h, which simplifies to -3a2 divided by h.  This is the slope of the line tangent to the graph of f(x) = -x3 at the point (a, -a3).

The difference quotient is a way to approximate the slope of the line tangent to the graph of a given function. To calculate the difference quotient for f(x) = -x3, we can use the formula f(a h) − f(a) h. Plugging in values for f(a) and f(a h), we get -a3 - (-(a+h)3) / h. We can simplify this expression by multiplying out the parentheses: -a3 + (a3 + 3a2h + 3ah2 + h3) / h. We can then combine like terms and cancel out the h's to get -3a2h / h, which simplifies to -3a2 / h. This is the difference quotient for f(x) = -x3 at the point (a, -a3).

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In each of the problems state where in the typlane the hypotheses of Theorem 2.4.2 are satisfied11. dy/dt=1+t^2/3y-y^2

Answers

For dy/dt = (1 + t^2)/ (3y - y^2), the hypotheses of Theorem 2.4.2 are satisfied, and a unique solution exists in some interval around the initial point if y ≠ 0 and y ≠ 3.

The hypotheses of Theorem 2.4.2 state that for the initial value problem

dy/dt = f(t, y), y(t₀) = y₀

to have a unique solution in some interval t₀ - h < t < t₀ + h within α < t < β, provided that:

f and its partial derivative with respect to y, ∂f/∂y, are continuous in a rectangle α < t < β, γ < y < δ that contains (t₀, y₀).

To determine if the hypotheses are satisfied for the given differential equation we need to check if f and ∂f/∂y are continuous in a rectangle that contains the initial point (t₀, y₀). If they are, then the hypotheses of Theorem 2.4.2 are satisfied, and a unique solution exists in some interval around the initial point.

dy/dt = (1 + t^2)/ (3y - y^2)

dy/ dt = (1 + t^2)/ y(3 - y)

So dy/dt is not continuous at y = 0 and y = 3.

So the hypotheses of Theorem 2.4.2 are satisfied, and a unique solution exists in some interval around the initial point if y ≠ 0 and y ≠ 3.

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Timothy a grade 10 learner was challenged by his friend thavery few learners can get this maths riddle solved. Help Timothy to solve the problem. Divide 57 in two parts so that one half of the greater part is 11 more than one fifth of the smaller part. Suppose the greater part​

Answers

Therefore, the smaller part = 41.29 and the greater part = 57 - 41.29 = 15.71.

Linear equation

Let the smaller part be x.

Then, the greater part = 57 - x

According to the question,

1/2 (57-x) = 11 + 1/5x

Solve for x:

1/2 (57-x) - 1/5x = 11

7/10 (57-x) = 11

7/10 (57-x) - 11 = 0

7/10 (57-x) = 11

57-x = 11 * (10/7)

57-x = 15.71

x = 57 - 15.71

x = 41.29

This problem is an example of a linear equation, where two variables (the two parts) are related by an equation.

The equation for this problem is:

x + y = 57

1/2 x = 11 + 1/5 y

In order to solve for x and y, we need to solve this system of equations.We can start by rearranging the first equation to solve for y:

y = 57 - x

We can then substitute this into the second equation:

1/2 x = 11 + 1/5 (57 - x)

We can then solve for x by rearranging and solving the resulting equation:

2x = 11 + 57 - 5x

7x = 68

x = 68/7

x = 9.71

Now, we can calculate y using the first equation:

y = 57 - x

y = 57 - 9.71

y = 47.29

Therefore, the two parts of 57 are 9.71 and 47.29.

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