25 is what percent of 125?

40 is 25% of what number?

What number is 60% of 200?

Find 16% of 25

50 is ______% of 500

30 is 40% of what?

What is 140% of 20?

600 is 300% of what?

45% of the class is girls. There are 90 girls in the class. How many students are in the class?

40% of the voters voted for Jimmy B. 80 million people voted. How many votes did he get?

300 middle schooler’s vote on their favorite sport. 60 of them like hockey. What percentage of the students like hockey?

Answer:

the answer is 86!

hope this helped

Answer:

the answer to your question is 86

The given probability, the collection of all possible outcomes is sample space.

Probability is the statistics term that defines a number that reflects the chance or likelihood that a particular event will occur.

Here we have given that i roll a four-sided die. the possible outcomes are 1, 2, 3, or 4, depending on the number of spots on the side of the die that is face down.

And we need to find collection of all possible outcomes is called.

While we looking into the given question, we know that,

In order to solve this one, we must know the definition of sample space.

The term sample space means a collection or a set of possible outcomes of a random experiment.

According to the definition, here the sample space is the set composed by all the possible outcomes of your random variable.

According this case, the random variable is 4 sided dice,

Therefore the sample space is

S = {1, 2, 3, 4}

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Let's see

Answer:

Step-by-step explanation:

f(x) = (4x-5)(3x²-x+3) - 2

= (12x³-4x²+12x)-(15x²-5x+15) -2

= 12x³ - 19x² + 17x - 17

Answer:

m=5.95

&

m=3

Step-by-step explanation:

The Method of Undetermined Coefficients is a technique used to find a particular solution to a homogeneous linear differential equation.

yp(x) = 3e 8x + c1e 4x + c2e 11x

We are attempting to find a particular solution, yp(x), to the given equation using the Method of Undetermined Coefficients. This method is used when we have a homogeneous linear differential equation with constant coefficients. The first step is to identify the complementary function, which is found by solving the homogeneous part of the equation (in this case, y'' + 17y = 0). The particular solution is then found by making an educated guess for the form of the solution and adjusting the constants of the solution until the equation is satisfied. In this example, we guessed that the particular solution is a linear combination of three exponentials: 3e 8x + c1e 4x + c2e 11x. We then adjusted the constants c1 and c2 until the equation was satisfied.

y'' + 17y = 3e 8x

y'' + 17y - 3e 8x = 0

Homogeneous equation: y'' + 17y = 0

Characteristic equation: r2 + 17 = 0

r = ± 4i

Complementary function: yc(x) = c1e 4x + c2e -4x

Particular solution: yp(x) = 3e 8x + c1e 4x + c2e 11x

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By factorizing algebraic expression 30 - \(6x^3\) using a common factor, the result will be option (A) 2(15 - \(3x^3\))

The expression is given,

30 - \(6x^3\)

The expression is the mathematical sentence that consist of different types of variables, numbers and the mathematical operators. The mathematical operators will be addition, subtraction, division and multiplication. The expression does not contains a equal sign or inequality signs

The expression is given,

30 - \(6x^3\)

Take a common term outside

Here the common term is 2

30 - \(6x^3\)  = 2((30/2) - \(6x^3\) /2)

= 2(15 - \(3x^3\))

Hence, by factorizing algebraic expression 30 - \(6x^3\) using a common factor, the result will be option (A) 2(15 - \(3x^3\))

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The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Answer:

CD = 101°

Step-by-step explanation:

The secant- tangent angle DAB is hlf the difference of the intercepted arcs, that is

\(\frac{1}{2}\) (CD - BD ) = 29° ( multiply both sides by 2 )

CD - BD = 58°, that is

CD - 43° = 58° ( add 43° to both sides )

CD = 101°

The required work done in lifting the laptop to a height of 2 feet will be 263.79 foot-poundal.

Total weight of the laptop is 4.1 pounds

Acceleration due to gravity = 32.17 ft/\(s^{2}\)

Now the height to which the laptop has been lifted = 2 feet

Since, there is no mentioned velocity of the laptop, therefore the kinetic energy will be zero

Therefore, the total work in lifting the laptop will be equal to the change in potential energy.

Potential energy is the energy that comes by virtue of its position with reference to other

Therefore, potential energy = mgh

Where, m = mass of the laptop = 4.1 pounds

g = acceleration due to gravity = 32.17 ft/\(s^{2}\)

h = height to which the laptop is lifted =  2 feet

Therefore potential energy = (4.1)(32.17)(2) = 263.79 foot-poundal

263.79 foot-poundal is the required work done.

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Answer-

The cost of one tetra is $2.5 and one rainbow fish is $8.5

Explanation

Let the cost one tetra be 'x';

Cost of rainbow fish = x + 6;

According to question;

8x + 2(x + 6) = 37;

10x = 25

x = $2.5;

the amount or equivalent paid or charged for something : price

The average cost of a university training has gone up dramatically.

the outlay or expenditure (as of attempt or sacrifice) made to acquire an item

He executed repute, but at the fee of dropping numerous buddies.

loss or penalty incurred specially in gaining some thing

the price of lives during war

three

costs plural : charges incurred in a judicial process

particularly : those given by the law or the courtroom to the triumphing party in opposition to the dropping birthday party

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Answer:

a = 0.5 or 1/2

b = 19/4 or 4.75

Step-by-step explanation:

Step 1: Isolate x's

x² - x = -5

Step 2: Complete the Square

x² - x + 1/4 = -5 + 1/4

(x - 1/2)² = -19/4

Step 3: Move everything to one side

(x - 0.5)² + 4.75

negative, positive. The y-component of the average acceleration of the object during the ascending part of the motion is negative, as the velocity is decreasing, and the y-component of the acceleration during the descending part of the motion is positive, as the velocity is increasing.

In ideal projectile motion, the acceleration of the object is only due to gravity, which acts in the negative y-direction. Therefore, the y-component of the acceleration of the object during the ascending part of the motion is negative, as the velocity is decreasing. At the peak of the motion, the velocity is zero, so the acceleration is also zero. During the descending part of the motion, the y-component of the acceleration is positive, as the velocity is increasing. The magnitude of the acceleration remains constant throughout the motion, and it is equal to the acceleration due to gravity (g). Therefore, the correct answer is b) negative, positive. This means that the y-component of the acceleration is negative during the ascending part of the motion, and it is positive during the descending part of the motion.

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Answer:

Area = pi r^2

Step-by-step explanation:

Answer:

Area=pi x r^2

Step-by-step explanation:

Step-by-step explanation:

Slope-intercept form: y = mx + b

Solve for \(\frac{y2-y1}{x2-x1}\)

\(y2-y1 = \frac{11}{12} -\frac{19}{20}\)

\(x2-x1 = \frac{1}{3} -\frac{2}{5}\)

To solve for the fractions you need a common denominator.

\(y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}\)

\(x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}\)

To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).

\(\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}\)

\(\frac{11}{12}\) = (\(\frac{1}{2}\))*(\(\frac{1}{3}\))+b

\(\frac{11}{12}\) = (\(\frac{1}{6}\))+b

\(\frac{11}{12}-\frac{1}{6}\) = b

\(\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75\)

b = .75

y = \(\frac{1}{2}+.75\)

The hypotenuse of the triangle is 29.2 centimeters.

A right triangle is a three-sided polygon. The longest side is called the hypotenuse. It has a 90 degree angle and the sum of angles is 180 degrees.

In order to determine the length of the hypotenuse, the SOHCAHTOA would be needed. Sine would be used because we have the opposite side and we need to determine the value of the  hypotenuse.

Sine = opposite / hypotenuse

sin 20 = 10 / h

0.3420 = 10/h

h = 10 / 0.342

h = 29.2 cm

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MAIN ANSWER: using strong induction that every positive integer can be written as sum of distinct powers of two is 20=2²+2⁴

supporting answer The statement is true for all positive integers by mathematical induction. Strong induction can be used to demonstrate that every positive integer n can be written as a sum of distinct powers of two, that is, as a sum of a subset of the

2²=4

2⁴=16

4+16=20

final answer is 20=2²+2⁴

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Using strong induction that every positive integer can be written as sum of distinct powers of two is 20=2²+2⁴

What is positive integer?

Natural numbers are those in mathematics that are utilised for counting and ordering. Cardinal numbers are those used for counting, and ordinal numbers are those used for ordering.

The statement is true for all positive integers by mathematical induction. Strong induction can be used to demonstrate that every positive integer  can be written as a sum of distinct powers of two, that is, as a sum of a subset of the

2²=4

2⁴=16

4+16=20

Final answer is 20=2²+2⁴

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Answer:

4

Step-by-step explanation:

because it median, so it number  was the middle of the total

as we know there is total of 9

and we count to 5

so it 4 letters

Answer:

4

Step-by-step explanation:

arranging the name lengths from smallest to largest we have; 3,3,3,3,4,5,7,7,9

From the set of numbers,4 appears at the middle hence the median name length.

The average amount of fluid consumed is 35.7 oz of fluid each day.

We have to note that in this case of the question, we have the following information;

When we convert the galloons to oz, we can see that the amounts of the milk and the water are actually 64 oz and 128 oz respectively.

Total fluid consumed in the week = 64 oz + 6 0z + 128 oz + 52 oz

= 250 oz

The average amount of fluid that is consumed per day is; 250 oz/7

= 35.7 oz of fluid each day.

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Answer: Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.

Pyramid B: Base is square with 10 meter sides.

Heights are the same.

Step-by-step explanation: The volume of pyramid A is TWICE the volume of pyramid B.

If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),  

V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³

The new volume of pyramid B is EQUAL to the volume of pyramid A.

1. The simplified form is 3.

2. By manipulation and simplification, both sides are equal to 2tan(x), proving the identity.



1. To simplify the expression \(2\sin^2 x + 2\cos^2 x + \frac{\tan x \cos x}{\sin x}\), we start by using the Pythagorean identity \(\sin^2 x + \cos^2 x = 1\) to rewrite the expression as \(2(1-\cos^2 x) + 2\cos^2 x + \frac{\tan x \cos x}{\sin x}\). Simplifying further, we get \(2 + \frac{\tan x \cos x}{\sin x}\). Using the identity \(\tan x = \frac{\sin x}{\cos x}\), we simplify \(\frac{\tan x \cos x}{\sin x}\) to \(1\). Therefore, the simplified form of the expression is \(2 + 1 = 3\).

2. To prove the identity \(\frac{1}{\sec x-\tan x}-\frac{1}{\sec x+\tan x}=\frac{2}{\cot x}\), we multiply the numerator and denominator of the first fraction by \(\sec x + \tan x\) and the numerator and denominator of the second fraction by \(\sec x - \tan x\). After simplification, we obtain \(\frac{2\tan x}{\sec^2 x - \tan^2 x}\). Using the Pythagorean identity \(\sec^2 x = 1 + \tan^2 x\), we further simplify the expression to \(\frac{2\tan x}{1}\), which equals \(2\tan x\). This matches the right-hand side of the identity, \(\frac{2}{\cot x}\). Therefore, the left-hand side is equal to the right-hand side, and the identity is proven.

1. The simplified form is 3. (2. )By manipulation and simplification, both sides are equal to 2tan(x), proving the identity.

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The simplified value of  \(\sqrt[4]{1296} /25\) is 0.24.

Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given  \(\sqrt[4]{1296} /25\)

factors of 1296 are = 2⁴ x 3⁴

\(\sqrt[4]{1296}\) = \((2^{4} *3^{4}) ^{\frac{1}{4} }\)

\(\sqrt[4]{1296}\) = 6

\(\sqrt[4]{1296} /25\)  = 6/25

\(\sqrt[4]{1296} /25\) = 0.24

Hence the value is 0.24.

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Answer:

$20,800

Step-by-step explanation:

There are 52 weeks in a year, therefore, do 100 x 52 = $5,200

You earn $5,200 a year, for 4 years so do 5,200 x 4 = $20,800

Given

A circles passes through A(8,4) and B(0,-2).

To find the radius and the equation of the circle.

Explanation:

It is given that,

A circles passes through (8,4) and (0,-2).

Then, the diameter of the circle is,

Therefore, the radius of the circle is,

Also, the center of the circle is,

Therefore, the center is (4,1).

Now, consider the equation of the circle as,

That implies,

Answer:

Jack's fathers work is 1350 miles away from home

Step-by-step explanation:

Equation for trip 1:

Usual speed=x

Time=30 minutes

Formula for distance: d=st

d=30x

Equation for trip 2:

Speed= x-30

Time=90 minutes

d=90(x-30)

Now we solve for x using simultaneous equations:

30x=90(x-30)

x=45

Now to find d we sub in our new found value into one of the two equations (it doesn't matter which one)

d=30(45)

d=1350 miles

Answer:

D

Step-by-step explanation:

Domain - Y

Range - X

Since the domain stops at -4 and goes back up in the parabola, but the Range never stops (the arrows on the ends), the answer is D

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

P.E.M.D.A.S. stands for parentheses, exponents, multiplication, division, addition, and subtraction

so first do the parentheses (3+7) = 10   which leaves 10×6+4  then since their is no exponents do multiplication which is 10×6=60  which leaves 60+4 finally since their is no division do addition 60+4=64

The number of student like at least one kind of ice cream is given by (d) 275.

Let C be the student who like chocolate ice cream and P be the student who like Pistachio ice cream.

Now given that, n(C) = 145, n(P) = 150

Also given that, 123 students do not like neither chocolate or pistachio ice cream.

So, n(P' and C') = 123

The required number of student like at least one kind of ice cream is given by,

N = 398 - n(P' and C') = 398-123 = 275

Hence the correct option is (d).

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