help please
please please please

Answer:

1

Step-by-step explanation:

3.2/0.4=8

8×2=16

16×0.4=6.4

6.4÷0.1=64

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ \: Rs \: 552.5}}}}}\)

Step-by-step explanation:

Given,

Discount percent = 15 %

Vat percent = 13 %

Discount amount = Rs 750

Vat amount = ?

Finding the Marked price ( MP )

\( \boxed{ \sf{Discount \: amount = \: discount\% \: of \: MP}}\)

⇒\( \sf{750 = 15\% \: of \: MP}\)

⇒\( \sf{750 = \frac{15}{100} \times MP }\)

⇒\( \sf{750 = \frac{3}{20} MP}\)

⇒\( \sf{ \frac{3}{20} MP = 750}\)

⇒\( \sf{MP = 750 \times \frac{20}{3} }\)

⇒\( \sf{MP = rs \: 5000}\)

Finding the selling price

\( \boxed{ \sf{Selling \: price = \: MP - \: discount \: amount}}\)

⇒\( \sf{5000 - 750}\)

⇒\( \sf{Rs \: 4250}\)

Finally, finding the Vat amount

\( \boxed{ \sf{Vat \: amount = Vat\% \: of \: selling \: price}}\)

⇒\( \sf{13\% \: of \: 4250}\)

⇒\( \sf{ Rs 552.5}\)

Vat amount = Rs 552.5

Hope I helped!

Best regards!!

Answer:

-1

Step-by-step explanation:

If you add a negative number, it's just subtraction. If you take away a negative number, it's just addition. So:

4+(-2)-(-3)-6

4-2+3-6

2+3-6

5-6

-1

Answer:

Jacob is \(16\) years old.

Step-by-step explanation:

Let the age of Jacob be \(x\) years.

Jacob’s sister is \(5\) years younger than he is.

So, the age of Jacob's sister be \(x-5\) years.

Jacob's twin brothers are \(3\) years older than he is.

So, the age of each of the twin brother be \(x+3\) years.

Jacob's mom is \(3\) times his age.

So, the age of Jacob's mom be \(3x\) years.

Jacob's dad is \(4\) years older than his mom.

So, the age of Jacob's dad be \(3x+4\) years.

Now, the total of all the ages of all his family members is \(165\) years.

So, \(x+x-5+x+3+x+3+3x+3x+4=165\)

\(\Rightarrow 10x+5=165\)

\(\Rightarrow 10x=165-5\)

\(\Rightarrow 10x=160\)

\(\Rightarrow x=\frac{160}{10}\)

\(\Rightarrow x=16\)

Hence, Jacob is \(16\) years old.

Answer:

\( \frac{a}{bc {}^{2} } \)

Step-by-step explanation:

Here use the property of -ve exponents.

According to that if you have -ve exponent, just flip the base and change the exponent to positive.

b is a base with -1 exponent and c is another base with -2 exponent.

so flip the base and change the negative exponent into positive exponent.

\( \frac{a}{bc {}^{2} } \)

Answer:

\(\frac{ac^2}{b}\)

Step-by-step explanation:

\(b^{-1}=\frac{1}{b}\\a\frac{1}{b}c^2\\a\cdot \frac{b}{c}=\frac{a\cdot \:b}{c}\\\frac{a\cdot \:1\cdot \:c^2}{b}\\a\cdot \:1\cdot \:c^2=ac^2\\\frac{ac^2}{b}\)

Answer:

El número de animales vivos después de 1, 5 y 10 años es 90, 60 y 35 respectivamente.

Step-by-step explanation:

Sabes que el número N(t) de animales vivos después de t años se predice mediante N(t) = 100*\(0.9^{t}\)

Para estimar el número de animales vivos después de, por ejemplo, 1 año debes simplemente reemplazar el tiempo t por el tiempo correspondiente, en este caso 1 año:

N(1) = 100*\(0.9^{1}\)

Resolviendo:

N(1) = 100*\(0.9^{1}\)= 100*0.9= 90

De manera similar, podes estimar el número de animales vivos después de 5 y 10 años. Esto es, reemplazas t por 5 años:

N(5) = 100*\(0.9^{5}\)= 100*0.59049= 59.049≅ 60

y t por 10 años:

N(10) = 100*\(0.9^{10}\)= 100*0.3487= 34.86 ≅ 35

El número de animales vivos después de 1, 5 y 10 años es 90, 60 y 35 respectivamente.

The null hypothesis is a statement that assumes there is no significant relationship between two variables or that there is no difference between two groups. In the context of the given question, the null hypothesis would be that the mean driving times for the three routes are the same.

This means that there is no significant difference in the average driving times for the three routes being compared. The null hypothesis is often used in statistical hypothesis testing, where it is compared against the alternative hypothesis to determine if the observed data provides enough evidence to reject the null hypothesis.

In this case, the alternative hypothesis could be that the mean driving times for the three routes are different, indicating that there is a significant difference in the average driving times for the three routes. By testing the null hypothesis, researchers can determine whether or not there is a significant difference in the data being analyzed.

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Answer:

Im pretty sure its D.

Step-by-step explanation:

I think it would be option D. Is it considered the subsoil layer

Answer:

19/25 = x/100

Cross multiply:

1,900

Divide 1,900 by 25

Equals 76

Subtract 76 from 100

Answer: 24% change

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The formula for calculating the amount of compound interest is as follows: Compound interest = total amount of principal and interest in future (or future value) minus principal amount at present (or present value)

Check the picture below.

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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The length along the side of the barn of this rectangular plot is 150 feet.

The rectangle's area is the area enclosed by its perimeter and equals the product of its length and width. The space that is occupied within the boundaries of a rectangle is known as its area. It is calculated by finding the length divided by the width.

In order to maximize the area of the rectangular plot, the length of the fence will be twice the length of the width. Therefore, the width is 75 x 4 / 3 feet = 100 feet (since there are 75 sections of 4 feet each, and 3 sides of the rectangle are fenced, not just 2).

The length is twice the width, so the length is 2 x 100 feet = 200 feet.

Since the barn forms one side of the rectangle, the length along the barn is 150 feet (200 - 50 = 150).Thus, the length along the side of the barn of this rectangular plot is 150 feet.

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The value of x from the given condition is 34. Therefore, option B is the correct answer.

Given that, m∠C = (3x + 1)° and m∠D = (2x + 9)°.

Consecutive angles lie along the transversal, both angles will always be on one side of the transversal, and they'll either both be inside the parallel lines or outside the parallel lines (interior or exterior angles, respectively). Consecutive angles are always supplementary if the transversal crosses parallel lines.

Since, consecutive angles are always supplementary, we get

(3x + 1)°+(2x + 9)° =180°

⇒ 5x+10=180

⇒ 5x=170

⇒ x=34

The value of x from the given condition is 34. Therefore, option B is the correct answer.

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Answer:

2/5

Step-by-step explanation:

Let's simplify this equation to find the slope. I am going to make this into

y = mx+b form where m is the slope and b is the y-intercept.

y - 3 = 2/5(x+7)

y - 3 = 2/5(x) + 14/5

y = 2/5(x) + (14/5 + 3)

y = 2/5(x) + 29/15

The slope of this equation is 2/5

The relation between the Pattern A is the half of the Pattern B is given below. Then the correct option is C.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Molly is studying two number patterns.

Pattern A starts at 0 and has the rule “add 3”.

Pattern B starts at 0 and has the rule “add 6”.

The relation between the Pattern A and Pattern B is given below.

Pattern A = 1/2 x Pattern B

Then the correct option is C.

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The Square root function is written in the form of f(x) = √x .

The Square Root function is defined as the function in which the parent function is written in the form of f(x) = √x .

and the inverse of the Square root function is square function , f(x) = x² .

The Domain and range of the root function is [0 , ∞) .

which means the range is the set of all positive real numbers and

hence in the square root function, result is always positive.

Some Examples of Root Functions are , √2 , √3 , √8 etc.   .

Therefore , Square Root function is explained .

The given question is incomplete , the complete question is

What is the Square Root Function ?

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The regular expression excludes strings like "1000" or "100000" because they have an even number of 0s following the 1.

The set of all bit strings made up of a 1 followed by an odd number of 0s can be represented by the regular expression:

1(00)*

Breaking down the regular expression:

1: The string must start with a 1.

(00)*: Represents zero or more occurrences of the pattern "00". This ensures that the 1 is followed by an odd number of 0s.

Examples of valid bit strings in this set include:

10

100

10000

1000000

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Answer:

-25.6

Step-by-step explanation:

Answer:

I believe it should be

f(1.7) = 2.8

f(-3.4) = -17.6

f(9.8) = 35.

Step-by-step explanation:

Simply plug-in the different numbers for x.

The values of n range from 0 to 8, so let's calculate y[n] for n = 0, 1, 2, ..., 8 using the inverse z-transform table.

To find the inverse z-transform of y(z), we can use the method of partial fraction decomposition. Let's break down the given unilateral z-transform equation:
Y(z) = X(z) * (z - a) / (z - b) * (z - c) / (z - d)
Here, a, b, c, and d represent the roots of the denominator polynomial.
To find y[n], we need to find the coefficients of the terms in the partial fraction decomposition.

Now, let's substitute z = e^(jw) into the equation:
Y(e^(jw)) = X(e^(jw)) * (e^(jw) - a) / (e^(jw) - b) * (e^(jw) - c) / (e^(jw) - d)
After simplification, we can express Y(e^(jw)) as a sum of terms:
Y(e^(jw)) = A / (1 - be^(-jw)) + B / (1 - ce^(-jw)) + C / (1 - de^(-jw))
Now, we can use the inverse z-transform table to find the corresponding time-domain sequence y[n] for each term.
The values of n range from 0 to 8, so let's calculate y[n] for n = 0, 1, 2, ..., 8 using the inverse z-transform table.

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Answer:

59.04°

58.31 inches

Step-by-step explanation:

The solution triangle is attached below :

Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;

Let the angle = θ

Tanθ = opposite / Adjacent

Tanθ = 50/30

θ = tan^-1(50/30)

θ = 59.036°

θ = 59.04°

The length of ladder can be obtained using Pythagoras :

Length of ladder is the hypotenus :

Hence,

Hypotenus = √(adjacent² + opposite²)

Hypotenus = √(50² + 30²)

Hypotenus = √(2500 + 900)

Hypotenus = 58.309

Length of ladder = 58.31 inches

Answer:

59°

58.3 inches

Step-by-step explanation:

Here is the full question :

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.

Please check the attached image for a diagram explaining this question

The angle the ladder makes with the ground is labelled x in the diagram

To find the value of x given the opposite and adjacent lengths, use tan

tan⁻¹ (opposite / adjacent)

tan⁻¹  (50 / 30)

tan⁻¹ 1.667

= 59°

the length of the ladder can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

√(50² + 30²)

√(2500 + 900)

√3400

= 58.3 inches

Answer:

the answer is D

Step-by-step explanation:

just add the x into the equation. example→ -5(16)+80 =0. based on the graph the dot is on the true line so it make sense. i use x=16 based on the graph to get y. if x and y is match with the equation then thats was the answer. sorry if my answer is wrong.

Answer:

I thought the answer is 1.75.

I hope this helps. PLEASE MARK ME AS BRAINLIEST

Step-by-step explanation:

The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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The given system of equations to have a Unique solution, the value of k must be any real number except 1 (k ≠ 1).

The value of k for which the given system of equations has a unique solution, we can use the concept of determinants. The system of equations is as follows:

kx + 2y = 3   -- (1)

3x + 6y = 10  -- (2)

To have a unique solution, the determinant of the coefficients of x and y must not be zero.

The determinant of the coefficient matrix for the system is:

D = | k   2 |

       | 3   6 |

By calculating the determinant, we have:

D = (k * 6) - (2 * 3)

D = 6k - 6

For the system to have a unique solution, the determinant D must not equal zero.

6k - 6 ≠ 0

Simplifying the inequality:

6k ≠ 6

Dividing both sides by 6:

k ≠ 1

Therefore, for the given system of equations to have a unique solution, the value of k must be any real number except 1 (k ≠ 1).

In other words, if k is not equal to 1, the system of equations will have a unique solution. If k is equal to 1, the system will either have infinitely many solutions or no solution.

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Answer:

Given function:

f(t) = (-16t - 2)(t - 1)

The zeros of the function are the values of t when f(t) = 0

⇒ f(t) = 0

⇒ (-16t - 2)(t - 1) = 0

⇒ (t - 1) = 0  ⇒  t = 1

⇒ (-16t - 2) = 0  ⇒ t = -2/16 = -1/8

The zeroes tell us the time (in seconds) when the ball is at ground level (when its height is zero).

Since time is not negative, only one zero is meaningful:  t = 1

Therefore, the total journey of the ball, from throwing it to it hitting the ground, is 1 second.

The height the ball is thrown can be determined by inputting t = 0 into the function:

⇒ f(0) = (-16(0) - 2)(0 - 1)

⇒ f(0) = (0 - 2)(0 - 1)

⇒ f(0) = (-2)(-1)

⇒ f(0) = 2

Therefore, the height from which the beach ball is thrown is 2 ft.

Equation: y = (-16t-2)(t -1)

1) Finding zeros of the function?

To find zero's of the function y = 0

(-16t-2)(t -1) = 0

-16t - 2 = 0, t - 1 = 0

t = 2/-16, t = 1

t = -0.125, 1

2) What do the zero's tell us? Are they meaningful?

Answer: It tells us that the time is 1 seconds when the height of the ball is 0 or at rest.

3) From what height is the ball thrown?

Insert t = 0

y = (-16(0)-2)((0) -1)

y = 2

Ball thrown from 2 feet.

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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