What is the area of a triangle that has a height of 4 feet and a base length of 9 feet? (5 points)

We are given a selling price of $365 and a purchase cost of $240, we are asked to find the markup. The formula for calculating the mark up is the following:

we have that the sale price is 365 and the cost is 240. Replacing in the formula:

solving the operations we get:

This can be expressed as a percentage like this:

the markup is 52%

Answer: 6x-2 ==> option 4

Step-by-step explanation:

(12x-4)/2=

12x/2 - 4/2= 6x-2 ==> option 4

Answer:

Step-by-step explanation:

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

Answer:

10

Step-by-step explanation:

\(h-13=13-3=\boxed{10}\)

Given: Room dimensions length=24 feet and width= 19 feet.

Height= 7 foot.

To find: How many Gallons of paint will it take to the paint the room.

Explanation:

The walls along with ceilings will be painted.

The total are to be painted will be area of the four walls.

The area of the walls will be the lateral surafce area of the rectangle.

The area of the four walls will be

A= 2x(lxb)+2x(bxh).

Substitute the values l=24, b=19 and h=7 to get:

The lateral suface area is 602 sq. feet.

We know 1 gallon can coat 450 square feet.

and we need to paint the surface twice so total area to piant will become

P=2x602=1204 square feet.

The total paint required will be:

We are getting 2.675 rounding it off to nearest whole number we get 3 gallons of paint.

Final Answer:

Answer:

\(\displaystyle \large \boxed{ \lim_{x \rightarrow +\infty} {x\left(\sqrt{x^2-1}-x\right)}=-\dfrac{1}{2}}\)

Step-by-step explanation:

Hello, please consider the following.

\(\sqrt{(x^2-1)}-x\\\\=\sqrt{x^2(1-\dfrac{1}{x^2})}-x\\\\=x\left( \sqrt{1-\frac{1}{x^2}}-1\right)\)

For x close to 0, we can write

\(\sqrt{1+x}=1+\dfrac{1}{2}x-\dfrac{1}{8}x^2+o(x^2)\\\\\ \text{x tends to } +\infty \text{ means }\dfrac{1}{x} \text{ tends to 0}\\\\\text{So, when }\dfrac{1}{x}\text{ is close to 0, we can write.}\\\\\sqrt{1-\dfrac{1}{x^2}}=1-\dfrac{1}{2}\dfrac{1}{x^2}-\dfrac{1}{8}\dfrac{1}{x^4}+o(\dfrac{1}{x^4})\)

So,

\(x\left( \sqrt{1-\frac{1}{x^2}}-1\right)\\\\=x(1-\dfrac{1}{2}\dfrac{1}{x^2}+o(\dfrac{1}{x^2})-1)\\\\=-\dfrac{1}{2x}+o(\dfrac{1}{x})\)

It means that

\(\displaystyle \lim_{x \rightarrow +\infty} {x\left(\sqrt{x^2-1}-x\right)}\\\\=\lim_{x \rightarrow +\infty} {-\dfrac{x}{2x}}=-\dfrac{1}{2}\)

Thank you

Answer:

i think its 3 im not sure

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30/30

→ [ x = -1 ]

Hence, the value of x is -1.

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

The answer should be 20,000 feet

Step-by-step explanation:

sin 0 =opposite/hypotenuse

sin 30 = AB/AC

sin 30 = 10000/c

c= 10000/sin 30

c=10000/1/2

c=20,000 feet

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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Answer:

250 minutes

Step-by-step explanation:

Let's write the proportion as a fraction.

Now, let's solve the proportion.

Therefore, you spend 250 minutes in 5 classes.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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Pythagoras - Has a theorem named after him

Thales - Contributed to the five basic theorems of geometry

Pythagoras was a Greek philosopher, mathematician, and founder of the Pythagorean school of philosophy. He lived in the 6th century BCE on the Greek island of Samos and is known for his contributions to mathematics, geometry, music, and philosophy.

Pythagoras is most famous for the theorem that bears his name, the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is fundamental to the study of geometry and has applications in many fields, from architecture to physics.

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Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.

Step 1: Factor out the GCF:

2(3x + 4)

Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.

Therefore, the fully factorized form of 6x + 8 is:

2(3x + 4)

Step-by-step explanation:)

The factored expression is:

Step-by-step explanation:

To factor the expression, look at its GCF (greatest common factor).

Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :

The result is :

And now the 2 goes outside the parenthesis:

Hence, the answer is 2(3x + 4).

Step-by-step explanation:

g(x) has clearly in its core the same function curve.

but it is

1. upside-down

2. moved up from the x-axis by 1 unit

3. moved to the right of the y-axis by 3 units

so, how do we express these 3 attributes in the functional definition ?

1. easily : by flipping the sign. g(x) = -x² is the same function type just upside-down (mirrored into the negative y space).

g(x) = -x²

2. also very easy : a function is moved up or down on the coordinate grid by adding (or subtracting) a constant.

we need to move our function up by 1 unit : we add 1.

that makes currently g(x) = -x² + 1

3. this is the trickiest part. to move a function left or right we need to make the function "think" that the input value x is not x, but it is (x ± constant).

let's ignore 1. and 2. for the moment and just focus moving the original function 3 units to the right.

that tells us that the functional result value of x in the shifted function must be the same as the functional result value in the original function for an input value that is 3 units "earlier" on the x-axis.

that would mean g(0) = f(-3), g(1) = f(-2), g(2) = f(-1), g(3) = f(0), ...

so, we see, g(x) = f(x-3) = (x-3)²

now, we combine again 1., 2. and 3., and we get

g(x) = -f(x-3) + 1 = -(x-3)² + 1

Answer: The consecutive numbers 26 & 27

Step-by-step explanation:

x+x+1=53

2x+1=53

2x=52

x=26

x+1=27  

Complex numbers are  -2 + 3i , -1 - i , 3 - 4i and 4 + i

Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and  ‘i’ is an imaginary number called “iota”. The value of i = (√-1).

A is in 2nd quadrant so, we can write vertex A in complex form

A :  -2 + 3i

B is in 3rd quadrant so, we can write B in complex form

B : -1 - i

C is in 4th quadrant so, we can write C in complex form

C : 3 - 4i

D is in 1st quadrant so, we can write D in complex form

D : 4 + i

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Answer:

\(z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615\)  

The p value for this case would be:

\(p_v =2*P(z<-0.615)=0.539\)  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

Step-by-step explanation:

Information given

n=100 represent the random sample taken

X=36 represent the number of people that take E supplement

\(\hat p=\frac{36}{100}=0.36\) estimated proportion of people who take R supplement

\(p_o=0.39\) is the value that we want to test

\(\alpha=0.05\) represent the significance level

z would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:  

Null hypothesis:\(p=0.39\)  

Alternative hypothesis:\(p \neq 0.39\)  

The statistic is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info we got:

\(z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615\)  

The p value for this case would be:

\(p_v =2*P(z<-0.615)=0.539\)  

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

The corresponding particular solution to the system of differential equations :

X(t) = -6e^(-12t)(1, 1) + 6e^(2t)(3, -1)

The eigenvalue method involves finding the eigenvalues and eigenvectors of the matrix associated with the system of differential equations.

        X' = AX

        where X is a column vector with the variables x1 and x2,

        X' is the derivative of X with respect to t,

        and A is the coefficient matrix given by:

       A = [ -13 9

                 -5 1  ]

       det(A - λI) = 0

       where I is the identity matrix and λ is an eigenvalue.

        λ = -12, 2

For each eigenvalue, we solve for the corresponding eigenvector by setting up a system of equations and solving for the unknowns. For λ = -12, the eigenvector is (1, 1), and for λ = 2, the eigenvector is (3, -1).

       X(t) = c1e^(-12t)u1 + c2e^(2t)u2

where c1 and c2 are constants and u1 and u2 are the eigenvectors corresponding to the eigenvalues -12 and 2, respectively.

       X(0) = [3  3] = c1u1 + c2u2

       c1 = -6, c2 = 6

        X(t) = -6e^(-12t)(1, 1) + 6e^(2t)(3, -1)

This is the final solution to the system of differential equations.

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Answer:

The percent increase in the the puppy's weight  is 84%

Step-by-step explanation:

Answer:

100degrees

Step-by-step explanation:

From the given diagram;

<2 = <6 (corresponding angle)

Since <6 + 80 = 180

<6 = 180 - 80

<6 = 100 degrees

Since <2 = <6, hence <2 = 100degrees

Answer:

Length of a pen

Step-by-step explanation:

Because it is comparatively smallest than other,

and we use inches method to measure smaller length.

The greatest common divisor of 5! and 7! is 840.

To find the greatest common divisor (GCD) of 5! and 7!, we need to calculate the prime factorization of both numbers.

First, let's calculate the prime factorization of 5!:

5! = 5 * 4 * 3 * 2 * 1 = 120.

The prime factorization of 120 is 2^3 * 3 * 5.

Now, let's calculate the prime factorization of 7!:

7! = 7 * 6 * 5! = 7 * 6 * 120 = 5040.

The prime factorization of 5040 is 2^4 * 3^2 * 5 * 7.

To find the GCD of 5! and 7!, we need to find the common factors in their prime factorizations. We take the smallest exponent for each prime factor that appears in both factorizations.

From the prime factorizations above, we can see that the common factors are 2^3, 3, 5, and 7. Multiplying these factors together gives us:

GCD(5!, 7!) = 2^3 * 3 * 5 * 7 = 8 * 3 * 5 * 7 = 840.

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The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

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Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

Answer:

sorry heres a lyric to neh rap of ne

Step-by-step explanation:24 39 58 g3t it stra1ght

Answer:

$258 donated

Step-by-step explanation:

24(4)=96

40(4)=160

56+32=88

96+160+88= 344

344/4=86

86(3)=258

Answer:

$258 donated

Step-by-step explanation:

24(4)=96

40(4)=160

56+32=88

96+160+88= 344

344/4=86

86(3)=258