14 minus 25% algebraic expression

Answer:

no

Step-by-step explanation:

the percentage has nothing to do with how many of them there are, forgive me if im wrong

The exact number of books on the shelf cannot be determined based on the information given.

An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.

We know that between 50 and 100 books are stored on a shelf, so let's assume the number of books is some integer value between 50 and 100, inclusive. Let's call this value "n".

Exactly 20% of the books are textbooks, which means there are 0.2n textbooks on the shelf.

Exactly one-seventh of the books are novels, which means there are (1/7)n novels on the shelf.

We know that n, 0.2n, and (1/7)n are all integers because they represent whole numbers of books. We can write this as:

n = a

0.2n = b

(1/7)n = c

where a, b, and c are integers.

From the second equation, we know that 0.2n is a multiple of 1/10. From the third equation, we know that n is a multiple of 7. Therefore, we can rewrite these equations as:

n = 10b

n = 7c

Since n is equal to both 10b and 7c, we know that n must be a multiple of the least common multiple of 10 and 7, which is 70.

So, n must be a multiple of 70, and therefore must be one of the integers 50, 70, or 90. However, we cannot determine which of these three values is the correct one based on the information given, because all three satisfy the conditions in the problem:

If n=50, then 20% of the books (i.e., 10 books) are textbooks, and 1/7 of the books (i.e., 7.14 books, which we round down to 7) are novels.

If n=70, then 20% of the books (i.e., 14 books) are textbooks, and 1/7 of the books (i.e., 10 books) are novels.

If n=90, then 20% of the books (i.e., 18 books) are textbooks, and 1/7 of the books (i.e., 12.86 books, which we round down to 12) are novels.

Therefore, the exact number of books on the shelf cannot be determined based on the information given.

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Given the information in the picture, we have that on the x-axis, where 4 is located, there is a point 3 units down. That point is (4,3), so, f(4)=-3.

A straight line on the value f(4)=-3 is represented below:

For the function  f(x) = 2x + 3 the third iterate x₃  is 37

To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,

we can apply the function repeatedly.

Starting with x₀ = 2:

x₁ = f(x₀)

= 2(2) + 3

= 7

x₂ = f(x₁)

= 2(7) + 3 = 17

x₃ = f(x₂)

= 2(17) + 3

= 37

Therefore, the third iterate x₃  is 37.

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Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

The new angular speed, ω₂, is four times the initial angular speed, ω₁.

To solve this problem, we can use the conservation of angular momentum. The initial and final angular momenta should be equal:

I₁ω₁ = I₂ω₂

Where I₁ and I₂ are the initial and final moments of inertia, respectively.

Assuming the particles are connected in a circular arrangement, the moment of inertia can be calculated using:

I = n * m * r²

Where n is the number of particles and r is the distance from the center of rotation.

Now we have:

(n * m * L²)ω₁ = (n * m * (0.5L)²)ω₂

Simplifying the equation, we get:

ω₂ = 4ω₁

So the new angular speed, ω₂, is four times the initial angular speed, ω₁.

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A system of small particles, each with mass m, is connected by light strings of length L. The system is rotating at an initial angular speed ω₁. If the strings are shortened to 0.5L, what is the new angular speed, ω₂?

Answer:

64 degrees

Step-by-step explanation:

it's a right angle which means it's 90 degrees then you minus 90 degrees by 26 and you get 64 degrees

Answer:

C

Step-by-step explanation:

The scores in a recent statistics test are given in the frequency distribution below.

\(\left|\begin{array}{c|cc}$Scores&$Frequency\\---&--\\0-60&4\\61-70&10\\71-80& 12\\81-90&4\\91-10&5\\----&--\\$Total&35\end{array}\right|\)

The relative frequency is calculated in the table below.

\(\left|\begin{array}{c|c|c}$Scores&$Frequency&$Relative Frequency\\---&--&-----\\0-60&4&\dfrac{4}{35}\times 100=11.43\% \\\\61-70&10&\dfrac{10}{35}\times 100=28.57\%\\\\71-80& 12&\dfrac{12}{35}\times 100=34.29\%\\\\81-90&4&\dfrac{4}{35}\times 100=11.43\%\\\\91-10&5&\dfrac{5}{35}\times 100=14.29\%\\----&--&---\\$Total&35&100\end{array}\right|\)

Therefore, the relative frequency table is that in Option C.

Answer:

1. D

2. Is A $0.87 for each song

Step-by-step explanation:

12 x $0.87 = $10.44

$10.44 + $5.04 = $15.48

I hope this helped you

Answer:

correct

Step-by-step explanation:

Answer:

13 − 4 ∗ 2 + 3 = 8

1/3 (1.8 − 2.4) = -0.2

4 − 3/2   ∗ 0.6 + (2 /5  − 3.2 + 8.1) = 8.4

Step-by-step explanation:

I got the answers right hope this helps

Total volume of shape is =144cu.cm

By knowing the length of the cube's edges, we can quickly determine its volume (V). Assume that "a" is the cube's edge length. The product of length, height, and breadth will then be the V. The cube's volume formula is as follows:

Cube Volume = Length× Width× Height

Volume equals= a× a× a =a³

where "a" denotes the cube's side or edges' length.

Length of each cube = 2cm

Volume of each cube=a³

=2³

=8cm³

Total number of cubes=18

Total volume of shape=18×8

=144 cu.cm

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Step-by-step explanation:

The circumference of a WHOLE circle = pi * d

   you have 1/2 of this  and d = 10 ft

     so   1/2 pi * 10      PLUS the two straight sides + 8+6

       1/2 pi * 10   + 8 + 6

         5 pi + 8 + 6

        5 * 3.14   + 14 = 29.7 ft

You need to set aside each month for an emergency fund and the retirement amount is $970.

An emergency fund is separate savings account to cater to the following unplanned situations:

It is prudent to have up to 6 months' salary in an emergency fund.

Monthly salary = $2,650

Monthly expenses = $1,465

Emergency fund = 30% of expenses

= $440 ($1,465 x 30%)

Retirement savings = 20% of the salary

= $530 ($2,650 x 20%)

Total amount to set aside each month = $970 ($440 + $530)

Thus, for your retirement and emergency fund, you need to set aside $970 monthly.

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Answer:

SEE GOGLE

Step-by-step explanation:

Answer: 6.48

Step-by-step explanation: hope it helps

In right angle ΔDEF, Value of d = 6.48 .

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent. These ratios are written as sin, cos, tan, sec, cosec, and cot in short.

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

Given, In figure

ΔDEF is right angle triangle

DE = 7.2

∠D = 42°

∠E = 90°

EF = d =?

tan D = EF/DE

tan 42° = d/7.2

0.900 = d/ 7.2

d = 6.48

Hence, 6.48 is the value of d in right angle ΔDEF.

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By using Percentage , Profit distributed to Charity A is £ 624 and Charity B is £ 336

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:

Total ticket sold = 800

Cost of each ticket is £ 2

Total fund raised (raw) = 2 * 800 = £1600

4% of the ticket won a prize of £20 each

so total number of tickets winning a prize = 4 % of 800 = 32

Total prize money distributed = 32 * 20 = £ 640

Total amount to distribute to charity = 1600 - 640 = £ 960

Total profit that goes to Charity A is = 65 % of 960 = £624

And rest to charity B is = £ 336

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Answer:

\(B(x_2,y_2)= (20,12)\)

Step-by-step explanation:

Given

\(A = (0,0)\)

\(Ratio; m : n = 1 : 3\)

\(Point\ at\ 1 : 3 = (5,3)\)

Required

Coordinates of B

This question will be answered using line ratio formula;

\((x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})\)

In this case:

\((x,y) = (5,3)\)

\((x_1,y_1) = (0,0)\)

\(m : n = 1 : 3\)

Solving for \((x_2,y_2)\)

\((x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})\) becomes

\((5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})\)

\((5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})\)

\((5,3) = (\frac{x_2}{4},\frac{y_2}{4})\)

Comparing the right hand side to the left;

\(\frac{x_2}{4} = 5\) -- (1)

\(\frac{y_2}{4} = 3\) -- (2)

Solving (1)

\(x_2 = 5 * 4\)

\(x_2 = 20\)

Solving (2)

\(y_2 = 3 * 4\)

\(y_2 = 12\)

Hence;

\(B(x_2,y_2)= (20,12)\)

Answer:

y = -1/6x + 2

Step-by-step explanation:

To find the slope of a perpendicular line, you take the opposite reciprocal

6x -> -1/6x

y = -1/6x + 2

Answer:

2 1/12

Step-by-step explanation:

The boat will arrive at the other port at 12:45 p.m.

To determine the time the boat arrives at the other port, we can use the formula:

Time = Distance / Speed

Given:

Distance = 80 km

Speed = 32 km/h

Calculate the time it takes for the boat to travel the given distance:

Time = Distance / Speed

Time = 80 km / 32 km/h

Time = 2.5 hours

Convert the time to minutes:

Since the time is given in hours, we need to convert it to minutes.

1 hour = 60 minutes

2.5 hours = 2.5 * 60 = 150 minutes

Add the calculated time to the departure time:

The boat leaves the port at 10:15 a.m. We need to add 150 minutes to this time to find the arrival time.

10:15 a.m. + 150 minutes = 12:45 p.m.

Therefore,​ the boat will arrive at the other port at 12:45 p.m.

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Answer:

We seek to verify the Mean Value Theorem for the function

f(x)=3x2+2x+5

on the interval

[−1,1]

The Mean Value Theorem, tells us that if

f(x)

is differentiable on a interval

[a,b]

then ∃

c∈[a,b]

st:f'(c)=f(b)−f(a)b−a

So, Differentiating wrt

x

we have:

f'(x)=6x+2

And we seek a value

c∈[−1,1]

st: f'(c)=f(1)−f(−1)1−(−1)

∴6c+2=(3+2+5)−(3−2+5)2

∴6c+2=42

∴6c+2=2

∴6c=0

∴c=0

Answer:

5/18

Step-by-step explanation:

We assume they share equally.

5/6 ÷ 3 = 5/6 × 1/3 = 5/18

\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

Answer:

• Since these lines are perpendicular, their product of their gradients is negative one:

\( \dashrightarrow \: { \tt{m_{1} \times m _{2} = - 1 }}\)

• m1 is gradient of first line.

• m2 is gradient of second line.

\( \dashrightarrow \: { \tt{ - \frac{1}{3} \times m_{2} = - 1}} \\ \\ \hookrightarrow \: { \underline{ \tt{ \: \: m _{2} = 3 \: \: }}}\)

• since they intersect at a point on x-axis, y = 0

• Considering the first line: y = 9 - ⅓x

\(\dashrightarrow \: { \tt{0 = 9 - \frac{1}{3} x}} \\ \\ { \tt{x = 9 \times 3 = 27}}\)

point is (27, 0)

• Considering the second line: y = mx + b

\(\dashrightarrow \: { \tt{0 = (3 \times 27) + b}} \\ \\ { \tt{b = - 81}}\)

To measure the magnitude of the orbital angular momentum L and the projection of the angular momentum along a particular axis (say, the z-axis), we need to use the mathematical formalism of quantum mechanics.

In quantum mechanics, the orbital angular momentum L of a particle is an operator that acts on the wave function describing the particle's motion. Similarly, the z-component of the angular momentum Lz is also an operator.

The magnitude of the orbital angular momentum L can be calculated from the components of the angular momentum operator using the expression:

L^2 = L₁^2 + L₂^2 + L₃^2

where L₁, L₂, and L₃ are the x, y, and z components of the angular momentum operator, respectively. To measure the magnitude of the orbital angular momentum, we would need to measure the values of L₁ L₂, and L₃ and use them to calculate L^2.

The projection of the angular momentum along a particular axis (say, the z-axis) is given by the operator L₃. To measure the z-component of the angular momentum, we would need to measure the value of L₃ for a particular state of the system.

In practice, these measurements are often carried out using experiments involving the interaction of particles with magnetic fields. The behavior of the particles in the magnetic field allows us to infer information about the angular momentum of the particles.

The measurement of the magnitude and projection of angular momentum is an important part of many areas of physics, including quantum mechanics and solid-state physics.

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The distance traveled in the time interval 0 ≤ t ≤ 6, given the velocity function v(t) = t^2 - 6t - 16, can be determined by calculating the definite integral of the absolute value of the velocity function over the given time interval. The result is 128 units of distance.

To find the distance traveled in the given time interval, we need to integrate the absolute value of the velocity function v(t) = t^2 - 6t - 16 over the interval 0 ≤ t ≤ 6. The reason for taking the absolute value is that distance is a scalar quantity and does not depend on the direction of motion.

Taking the integral of the absolute value of the velocity function, we have:

∫|v(t)| dt = ∫|t^2 - 6t - 16| dt

To evaluate this integral, we need to split it into intervals where the velocity function is positive and negative. The absolute value function essentially removes the negative sign from the expression inside the absolute value brackets.

Next, we find the points where the velocity function changes sign by setting v(t) = 0:

t^2 - 6t - 16 = 0

Solving this quadratic equation, we find t = -2 and t = 8 as the points where the velocity changes sign.

Now, we evaluate the integral over the intervals [0, 2] and [2, 6] separately, considering the absolute value of the velocity function within each interval.

∫|v(t)| dt = ∫(t^2 - 6t - 16) dt over [0, 2] + ∫(-(t^2 - 6t - 16)) dt over [2, 6]

Evaluating the definite integrals, we obtain:

(128/3) + (128/3) = 256/3

Therefore, the distance traveled in the time interval 0 ≤ t ≤ 6 is 256/3 units of distance, which is approximately 85.33 units of distance.

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The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.

By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.  

Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.  

Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.

Therefore,

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

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We have two consecutive odd integers. Let's call the smallest number as n. The difference between two odd numbers is 2, therefore, the next odd number after n will be n + 2. If we sum those numbers, the result is - 72, then, we have the following equation

Solving for n, we have

The smaller number is - 37. The consecutive number is - 35.

Our numbers are - 37 and - 35.

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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