Help pls
2y - 3.5 = 6.5

Given parameters:

Number of chairs  = 3

Number of tables = 4

Cost of 3 chairs and 4 tables = Rs 7540

Price of 1 table = Rs220

Unknown:

Price of 1 table  = ?

Solution:

Let the cost of 1 table = t

 So,

        3(220) + 4(t) = 7540

         660 + 4t = 7540

         4t = 7540 - 660

          4t = 6880

            t = Rs. 1720

The cost of 1 table is Rs. 1720

Answer:

x = 12

Step-by-step explanation:

2 * 12 = 24

24 - 8 = 16

x = 12

Answer:

x=12

Step-by-step explanation:

2(x-4)=16  Distribute:

2x-8=16  Isolate the variable:

   +8  +8

   2x=24  Divide:

     x = 12

Check: 2(12-4)=16

             24-8=16

                16=16

Hope this helps :)

If θ is the angle between u and v, then

u • v = ||u|| ||v|| cos(θ)

Since u = -3v, we have

u • v = (-3v) • v = -3 ||v||²

and

||u|| = ||-3v|| = 3 ||v||

If v₁ and v₂ are both not zero, then ||v| ≠ 0.

Then

cos(θ) = (-3 ||v||²) / (3 ||v|| ||v||) = 1

which means θ = π rad = 180°.

Answer:

1/2

Step-by-step explanation:

Because 9 is half of 18

63 × 26 + 9 × 563 = 6,705 answer is 6,705

Answer:

11 meters.

Step-by-step explanation:

The important thing to note here is that the backyard is a square. Since it's a square, all of its sides all equivalent in length. Thus, let's find the length of the sides. To do this, we use the area formula.

The formula for the area of a square is:

\(A=n^2\)

Where n is a side. Since we know the area already, we can find n. Find n:

\(121=n^2\\n=11\)

Since every side in a square are equivalent, all sides are 11 meters in length.

Therefore, each section of the fence should be 11 meters long.

Answer:

a. -63/4

b. -387/20

C. -281/12

I think it will help you

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced .An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.

Here,

We must calculate the product of 3x(\(x^{2}\) + 4).

In light of the query

Follow all of the instructions listed below to obtain the equation's product.

Equation; 3x(\(x^{2}\) + 4).

Then,

The product of the equation is,

=>3x(\(x^{2}\) + 4).

=>3\(x^{3}\) + 12x

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

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Complementary angles has sum of \(90^{o}\) and supplementary angles have sum of \(180^{o}\) , The answer is \(62^{o}\) and \(48^{o}\) .

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.

When two angles' measurements add up to 90 degrees, they are said to be complementary. When two angles' measures sum up to 180 degrees, they are said to be supplementary. Keeping in mind that the letter s follows the letter c in the alphabet and that 180 is greater than 90 can help you avoid conflating these definitions.

\(28^{o}\)

complement = \(90^{o}-28^{o}\) = \(62^{o}\)

\(132^{o}\)

supplement= \(180^{o}-132^{o}\) = \(48^{o}\)

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Answer:

The two number are 15 and 5

Step-by-step explanation:

Let both numbers be first and second.

According to the problem statement:

first + second = 20 (Consider this as 1st equation)

first – second = 10  (Consider this as 2nd equation)

Add both equations:

first + second + first – second = 20 + 10

2 * first = 30

first = 30 / 2

first = 15

So from this we get first = 15, put this value in any equation i.e.

first + second = 20 (Put the value of first in this equation)

15 + second = 20

second = 20 – 15

second = 5

So, the numbers are 15 and 5.

12 and 5 the two numbers

x+y=17 add 17 and 7

x-y=7

2x=24 and you get 24

x=24/2 divided by 2 is 12

x=12

12+5=17

12-5=7

Answer:

Jake does have enough to buy a dog bone that cost $1.49

Step-by-step explanation:

6 quarters = $1.50

2 dimes = $0.20

1 nickel = $0.05

So add it all together: $1.50 + $0.20 + $0.05 = $1.75

Answer:

y=(x+7)(x-8)(x-15)

Step-by-step explanation:

yw

An equation for a polynomial function with given intercepts is

\(P(x)=x^3-16x^2-41x+840\)

Given :

The intercepts at the horizontal axis at -7, 8, and 15.

so, the x intercepts are -7, 8, and 15.

Lets write the x intercepts in factor form

if 'a' is x intercept then (x-a) is a factor

x intercepts are -7, 8, and 15.

the factors are

\((x-(-7)) (x-8)(x-15)\\(x+7)(x-8)(x-15)\)

Now to write the polynomial we multiply all the factors

\(P(x)=(x+7)(x-8)(x-15)\\P(x)=\left(x^2-x-56\right)\left(x-15\right)\\P(x)=x^3-16x^2-41x+840\)

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Answer:

$120,000

Step-by-step explanation:

Provided that  

The price of the new car is $750,000

And, the saving percent is 16%

We need to calculate out the saving amount for the deposit

Therefore, the saving amount is

= $750,000 × 16%

= $120,000

Basically we multiply these two things to each other in order to get the saving amount

The root of the function \(\(f(x) = 5\cos(x) - \sqrt{x^2 + 1} + 2^{x-1}\)\) lies within the interval \(\([-1, 0]\)\).

To find the interval where the root of the given function lies, we need to analyze the behavior of the function within certain intervals. Let's consider the interval  \(\([-1, 0]\)\).. For \(\(x = -1\)\), we have \(\(f(-1) = 5\cos(-1) - \sqrt{(-1)^2 + 1} + 2^{-2}\)\). Since \(\(\cos(-1)\)\) is positive and the other terms are also positive, the value of \(\(f(-1)\)\) is positive.

Now, for \(\(x = 0\)\), we have \(\(f(0) = 5\cos(0) - \sqrt{0^2 + 1} + 2^{-1}\)\). Since \(\(\cos(0)\)\) is positive and the other terms are positive, the value of \(\(f(0)\)\) is positive.

As the function is continuous, and it changes sign from positive to negative within the interval  \(\([-1, 0]\)\) (as \(\(f(-1)\)\) and \(\(f(0)\)\) have different signs), by the Intermediate Value Theorem, there exists at least one root of the function within this interval. Therefore, we can conclude that the root of \(\(f(x)\)\) lies within the interval  \(\([-1, 0]\)\).

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Answer: 42 km

Step-by-step explanation:

P=Peter. J=Juan

P=15+J/2

36=15+J/2

21=J/2

J=42 km

The rectangular coordinates of the point are approximately (1.414, 1.414, 1).

The rectangular coordinates of the point are approximately (-2, -3.464, 5).

The point with cylindrical coordinates (2, π/4, 1) corresponds to the cylindrical radius of 2, angle of π/4 (45 degrees), and height of 1. To find the rectangular coordinates, we can use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

z = h

Plugging in the values, we get:

x = 2 * cos(π/4) ≈ 1.414

y = 2 * sin(π/4) ≈ 1.414

z = 1

b] The point with cylindrical coordinates (4, -π/3, 5) corresponds to the cylindrical radius of 4, angle of -π/3 (-60 degrees), and height of 5. Using the same formulas as above, we can calculate the rectangular coordinates:

x = 4 * cos(-π/3) ≈ -2

y = 4 * sin(-π/3) ≈ -3.464

z = 5

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Answer:

x = 13/12

Step-by-step explanation:

explain on image

Answer:

1

Step-by-step explanation:

Number 1: 432

im too lazy to do the rest sorry

btw i forgot how to do this last year

Answer:

Step-by-step explanation:

-1/2 * -2/√3

1/√3 *√3/√3 = √3/3

Option 5

The Security Market Line (SML) is a graphical representation of the Capital Asset Pricing Model (CAPM). It depicts the return that an investor should expect to earn by holding an efficient portfolio of risky assets as a function of systematic risk, beta.

The CAPM equation defines the relationship between expected return and beta, which is reflected in the slope of the SML. The equation for the SML is:E(Ri) = Rf + βi(E(RM) - Rf)whereE(Ri) = the expected return on asset iRf = the risk-free rateβi = the asset’s systematic risk (beta)E(RM) = the expected return on the market portfolioWhen using the CAPM to price securities, the relevant measure of risk is not the total risk (variance), but rather the systematic risk (beta), which is covariance with the market portfolio divided by the variance of the market portfolio.

Below is the computation of the SML and the alpha for the Aggressive and Defensive Stock:SML = 3% + [0.6(6% - 3%)] = 4.8%Alpha of Aggressive Stock = -3% - 4.8% = -7.8%Alpha of Defensive Stock = 11% - 4.8% = 6.2%

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Step-by-step explanation:

The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units

Using Pythagoras theorem the value of x can be found as follows:

c² = a² + b²

where

Therefore,

8² = x² + x²

64 = 2x²

x² = 64 / 2

x = √32

x = 5.65685424949

x = 5.7 units

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Answer: 5.7 units

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

i got 100 on the test review

The solution of inequality 550 + 8b < 925 is b < 375 / 8 and the graph is attached below.

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal

Given:

550 + 8b < 925

Solve the inequality by subtracting 550 on both sides,

550 + 8b - 550 < 925 - 550

8b < 375

Divide by 8 into both sides,

b < 375 / 8

The graph of the above inequality is attached below.

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Answer:

the cost per liter of the paint is equal to 24 8/liter

Hope this helps :)