A bracelet is now reduced to £420.this is 70% of the original price. what is the original price?

The sides of the triangle are 4 meters, 7 meters, and 16 meters. These side lengths satisfy the given conditions and result in a perimeter of 27 meters.

Let's label the sides of the triangle:

Let the second side be "x" meters.

Since the first side is 3 meters shorter than the second side, we can represent it as (x - 3) meters.

The third side is 4 times as long as the first side, so it can be represented as 4(x - 3) meters.

Now, let's set up an equation based on the perimeter of the triangle:

Perimeter = Sum of all three sides

27 = (x - 3) + x + 4(x - 3)

Simplifying the equation:

27 = x - 3 + x + 4x - 12

Combine like terms:

27 = 6x - 15

Add 15 to both sides:

27 + 15 = 6x

42 = 6x

Divide both sides by 6:

42/6 = x

x = 7

Now that we have found the value of x, we can substitute it back into the expressions for the other sides:

First side = x - 3 = 7 - 3 = 4 meters

Third side = 4(x - 3) = 4(7 - 3) = 4(4) = 16 meters

Therefore, the sides of the triangle are:

First side = 4 meters

Second side = 7 meters

Third side = 16 meters

To verify that these side lengths satisfy the perimeter equation, we can add them up:

4 + 7 + 16 = 27

So, the perimeter of the triangle is indeed 27 meters, which matches the given information.

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Teniendo en cuenta la regla de tres simple, el cartero reparte 64.200 cartas en un semestre.

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos.

Es decir, lo que se pretende con ella es encontrar el cuarto término de una proporción conociendo los otros tres.

Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, la otra también (o cuando una magnitud disminuye, la otra también), se debe aplicar la regla de tres directa.

Para resolver una regla de tres directa se debe seguir la siguiente fórmula, siendo a, b y c datos conocidos y x la variable a calcular:

a ⇒ b

c ⇒ x

Entonces: \(x=\frac{cxb}{a}\)

En este caso, se puede aplicar la regla de tres de la siguiente manera: Entonces, si el cartero en un mes reparte 10.700 cartas, ¿en 6 meses (un semestre) reparte cuántas cartas?

1 mes ⇒ 10.700 cartas

6 meses ⇒ ×

Entonces: \(cantidad de cartas=\frac{6 mesesx10.700 cartas}{1 mes}\)

Resolviendo:

cantidad de cartas= 64.200 cartas

En resumen, el cartero reparte 64.200 cartas en un semestre.

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

Answer:

1st: False

2nd: True

Step-by-step explanation:

Note:
The similarity ratio of two triangles can only be determined if the corresponding side lengths are in proportion.

If only the angles are given, then there is no way to know the lengths of the sides, and therefore the similarity ratio cannot be determined.

For 1st question:

Sides are not given,

So, the answer is False.

For 2nd question:

Sides are given,

\(\triangle XYZ \sim \triangle ABG\)

\(\frac{XY}{AB}=\frac{4}{2}=\frac{2}{1}\)

\(\frac{YZ}{BG}=\frac{3}{1.5}=\frac{2}{1}\)

\(\frac{XZ}{AG}=\frac{5}{2.5}=\frac{2}{1}\)

Since all the sides length are proportional.

So, the answer is True.

The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

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Answer:

1  1/2 hours

=

Other ways to show would be;  = 1  1/2  hours =  1 .5 hrs  = 90 minutes

Step-by-step explanation:

We write out the question   2  1/4  -  3/4  =  ?

Then you use the model A below

Next you can add on from the smaller number 3/4 being step 1

And you use model B to find step 2 +  step 3 as it reminds  you that there is 1/4 in total time being the smallest box out of the sum.

step 1 =  3/4 + 1/4 = 1   = 1/4       is missing in A model box

step 2 = + 1   (to make 2)  = 1      is left in B model box

step 3 is + 1/4                                is left in B model box

Then add the up = 1/4 + 1 + 1/4   =  1 1/2

Your answers will be  model represents 3hrs divided into 6 hours

Jessi played in the afternoon

Playedi n afternoon for 1 1/2 hours

Answer:

1 1/2 hours

Step-by-step explanation:

Answer:

B -3>(-11)

Step-by-step explanation:

because of integers

When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is   \(\\26 \frac{2}{5}\).

What is improper fractions?

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

12 times 120% + 12

12*120%+12

\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)

\(=\frac{72}{5}+12$$\)

Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)

\(=\frac{132}{5}$$\)

Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)

\(=26 \frac{2}{5}$$\)

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Answer:

340

Step-by-step explanation:

Wilson has 320 / 2 = 160 girls

Salem has:

5x + 6x = 330

11x = 330

x = 30

6x = 6 * 30 = 180

180 + 160 = 340

Answer:

  783.7 square units

Step-by-step explanation:

The formula for the surface area of a cylinder is ...

  A = 2πr^2 + 2πrh = 2πr(r +h)

Using the given numbers, the area is ...

  A = 2(3.14)(6)(6 +14.8) = 783.7 . . . square units

Answer:

About 783.7 square cm.

Step-by-step explanation:

The formula for the surface area of a cylinder is (2 * pi *r^2) + (2 * pi * r * h).

(2 * 3.14 * 6^2) + (2 * 3.14 * 6 * 14.8) = (2 * 3.14 * 36) + (2 * 3.14 * 6 * 14.8) = 6.28 * 36 + 6.28 * 88.8 = 226.08 + 557.664 = 783.744.

So, the surface area of the cylinder is about 783.7 square centimetres.

Hope this helps!

The required difference of the polynomial functions is -9s^2 + 4s - 2

Given the following difference of polynomial expressed as:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

We are to find the difference

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

Expand

–6s^2 + 12s – 8 - 3s^2 - 8s + 6

Collect the like terms

–6s^2- 3s^2 + 12s - 8s - 8 + 6

-9s^2 + 4s - 2

Hence the required difference of the polynomial functions is -9s^2 + 4s - 2

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complete question

Find each difference.

(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

–9s2 + 4s – 14

–9s2 + 4s – 2

–9s2 + 20s – 14

–9s2 + 20s – 2

The linear equation is Y = -55643.61069X + 112841371.95165, and

value for year 2000 is  $15,54,150.6.

When modelling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method (also known as dependent and independent variables). Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables. As opposed to multivariate linear regression, which predicts numerous correlated dependent variables as opposed to a single scalar variable, this phrase is more specific.

Given

X(year)          2008           2012         2013         2014            2015           2019

Y(values $) 1,363,812   1,097,236   1,021,124    945,012    868,900  500,200

Mean of X is Mx 2013.5

Mean of Y is My 802961.8333

X - Mx      Y - My     (X - Mx)²  (X - Mx)(Y - My)

-5.5   560850.1667  30.25  -3084675.917

-1.5      -693238.8333         2.25  1039858.25

-0.5       218162.1667         0.25  -109081.0833

0.5       151050.1667         0.25  75525.0833

1.5      65938.1667         2.25  98907.25

5.5        -302761.8333       30.25  -1665190.083

                                  SS: 65.5     SP: -3644656.5

equation is y = mx + c

m = SP/SS = -3644656.5/65.5 = -55643.61069

c = My - mMx = 802961.83 - (-55643.61 x 2013.5) = 112841371.95165

Y = -55643.61069X + 112841371.95165

and value for year 2000 is

Y = -55643.61069X + 112841371.95165

Y = $15,54,150.6

Hence the equation is  Y = -55643.61069X + 112841371.95165 and amount for year 2000 is  $15,54,150.6.

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Answer: 1/58824.5

Step-by-step explanation: 2x7^-6

2x1/117649

=1/58824.5

The rate of filling water in the tank is 23450t gallons per hour.

Let's assume that the time taken to fill the tank is t hours.

The volume of water filled into the tank at time t is given by the expression V(t) = 23450t.

The tank is originally empty, which means its volume = 0 gallons.

After 5 hours,

t= 5 hours

The volume of water filled in is given by \(V(5) = 23450 * 5= 1,17,250\) gallons of water.

Therefore, 1,17,250 gallons of water are filled in the tank after 5 hours.

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Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

Answer:

He has $1.87 change left after purchasing 7 packs of chalk.

Step-by-step explanation:

20/2.59 = 7.722 approx.

So Bruce can purchase 7 packs of chalk at $2.59 each.

Change left

= 20 -7*2.59

= $1.87

Since the triangles are similar the value of angles is preserved, thus the measure of angle P is 86 degrees.

There are two possible outcomes of this experiment either success p or failure q. It has a given number of trials and all trials are independent therefore it is binomial probability distribution.

1-  5 ways

2- 5/16

3- 1/16

4- 1/16

In the question given above n= 5 p =1/2 q= 1/2  r is the given point.

The number of ways in which different people get off the bus can be calculated using combinations since the order is not essential. Therefore

nCr= 5C4= 5 ways

2. Part 2:

The probability that all four people get off the bus on the first stop is given by :

P (x= 1)= 5C1 (1/2)^0(1/2)^4= 5(1/2)^4= 5/16

3. Part 3:- The probability that all four people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^0(1/2)^4= 1(1/2)^4= 1/16

4. Part 4- The probability that exactly three of the four people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^3(1/2)^1= 1(1/2)^4= 1/16

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Answer:

true for A P E X

Step-by-step explanation:

Answer:

its called a googol

Step-by-step explanation:

You dont need one

Answer:35 you are welcome

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The change in x from A to B is 12, and 1/4 of this is 3.

Adding this to the x coordinate of A, we get 0.

The only option with an x coordinate of 0 is D.

Answer:

\((x-2)^5 = x^5 - 10x^4 + 40x^3 - 80x^2 + 80x - 32\)

Step-by-step explanation:

Binomial Theorem

\((a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n\)

Given expression:

\((x-2)^5\)

Compare with the Binomial Theorem:

\(a=x, \quad b=-2, \quad n=5\)

Substitute the values into the formula:

\(\begin{aligned}(x-2)^5 & = x^5+\dfrac{5!}{1!4!}x^{4}(-2)+\dfrac{5!}{2!3!}x^{3}(-2)^2+\dfrac{5!}{3!2!}x^{2}(-2)^3+\dfrac{5!}{4!1!}x^{1}(-2)^4+(-2)^5\\\\& =x^5+\dfrac{120}{24}x^{4}(-2)+\dfrac{120}{12}x^{3}(4)+\dfrac{120}{12}x^{2}(-8)+\dfrac{120}{24}x(16)-32\\\\& =x^5-\dfrac{240}{24}x^{4}+\dfrac{480}{12}x^{3}-\dfrac{960}{12}x^{2}+\dfrac{1920}{24}x-32\\\\& =x^5-10x^{4}+40x^{3}-80x^{2}+80x-32\end{aligned}\)

Pascal's Triangle

Pascal's triangle is an arrangement of binomial coefficients in triangular form.  Each row has 1 at both ends, and each remaining number in the row is found by adding together the two numbers directly above it.

\(\phantom{-b)))))))}1\\\phantom{-b)))))}1 \:\quad 1\\\phantom{-b)))}1 \:\quad 2\: \quad 1\\\phantom{-b)}1 \:\quad 3\: \quad 3\: \quad 1\\\phantom{))}1 \quad 4 \:\: \quad 6 \quad \;4 \: \quad 1\\1 \quad 5 \quad 10 \quad 10 \quad 5 \quad 1\)

(Note: The initial row with the single number 1 is row zero)

Each term in the binomial expansion using Pascal's triangle is the product of a coefficient, a with an exponent, and b with an exponent.

As we move through each term from left to right, the exponent of a decreases from the exponent of the expression down to zero, and the exponent of b increases from zero up to the exponent of the expression.

The coefficients of each term are the numbers which appear in the number of the row that corresponds with the exponent of the expression.

From the given expression, the power that we are expanding the bracket to is 5, so we need to look at line 5 of Pascal's triangle, which is:

1 5 10 10 5 1

Therefore, the expansion using Pascal's triangle to the power 5 of is:

\((a+b)^5=1a^5b^0+5a^4b^1+10a^3b^2+10a^2b^3+5a^1b^4+1a^0b^5\)

Substituting the values of a and b:

\(\begin{aligned}(x-2)^5 & = 1x^5(-2)^0 + 5x^4(-2)^1 + 10x^3(-2)^2 + 10x^2(-2)^3 + 5x^1(-2)^4 + 1x^0(-2)^5\\\\ & = x^5 - 10x^4 + 40x^3 - 80x^2 + 80x - 32\end{aligned}\)

A parametric description of the solution set of a linear system is the same as solving the system is the false statement.

If a linear system has at least one solution, only then can the solution set be stated using a parametric description. The set of ordered pairs that make up the solution to an equation with two variables is referred to as the solution set. You'll discover what a solution set is in this tutorial and witness an example. By combining two equations with two variables into one equation with one variable, we can solve a system of equations. Since there are two variables in each equation in the system, replacing a variable with an expression can help minimize the number of variables in an equation.

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I believe it is A: y = 1/2x-2.

If this is incorrect, please, don't refrain to tell me.

Translation of 4 units down.

Explanation:

The original, or parent, function of a linear equation is y = mx + b, with 'b', being the y-intercept.

With a -4 plugged in, the intercept is at (0, -4). With this in mind, going down the graph 4 more units, will get you -8, and an intercept of (0, -8).

If you plug this in, it'd be g(x) = 5x - 8.

f is a gradient vector field with the potential function v(x,y,z) = -6xy. We can check that v(0,0,0) = 0, as required.

To determine the function v such that f=∇v, we need to find a scalar function whose gradient is f. We can find the potential function v by integrating the components of f.

For the x-component, we have:

∂v/∂x = -6y

Integrating with respect to x, we get:

v(x,y,z) = -6xy + g(y,z)

where g(y,z) is an arbitrary function of y and z.

For the y-component, we have:

∂v/∂y = -6x

Integrating with respect to y, we get:

v(x,y,z) = -6xy + h(x,z)

where h(x,z) is an arbitrary function of x and z.

For these two expressions for v to be consistent, we must have g(y,z) = h(x,z) = 0 (i.e., they are both constant functions). Thus, we have:

v(x,y,z) = -6xy

So, the gradient of v is:

∇v = ⟨∂v/∂x, ∂v/∂y, ∂v/∂z⟩ = ⟨-6y, -6x, 0⟩

which is the same as the given vector field f. Therefore, f is a gradient vector field with the potential function v(x,y,z) = -6xy. We can check that v(0,0,0) = 0, as required.

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Answer:

.

Step-by-step explanation:

Answer:

(-3.2 , 12.3)

(0.7 , 3.6)

Step-by-step explanation:

The rule :

(x, y)→(x−7.5, y+6.8)

For the x - coordinate ; Subtract 7.5

For the y - coordinate `; add 6.8

First input : (4.3, 5.5)

Output :

x = 4.3 - 7.5 = - 3.2

y = 5.5 + 6.8 = 12.3

Output = (4.3, 5.5) →(-3.2 , 12.3)

Second input : (8.2, -3.2)

Output :

x = 8.2 - 7.5 = 0.7

y = - 3.2 + 6.8 = 3.6

Output = (8.2, -3.2)→(0.7 , 3.6)

The outputs obtained are :

(-3.2 , 12.3) and (0.7 , 3.6)

Answer:

8x^3 +2x^2-3x+18

Step-by-step explanation: