Write the equation in standard form ax + by = 0
y=2x+5

Answer:

.25

Step-by-step explanation:

distance between 0,4 is 1. The distance between _2 and _3 is minus 5. X equals.

.25

Answer:

D. sin J = Cos L

Step-by-step explanation:

LK = √219² - 178² = 127.58

sin J = LK/LJ =127.58/219 = 0.58

Cos L = Lk/LJ = 0.58

sin L = 178/219 = 0.81

Cos J = 178/219 = 0.81

Tan J = 127.58/178 = 0.72

tan L = 178/127.58 = 1.40

Answer:

Eight times ten plus six times one plus two times one-tenth plus seven times one-thousandth.

Step-by-step explanation:

(8 x 10) = eight times ten

(6 x 1) = six times one

(2 x 0.1) = two times one-tenth

(7 x 0.001) = seven times one-thousandth

I am not always the best with the equations to words stuff, so please comment if I am wrong!

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

\( sin X = \frac{6}{7} \)

\( sin X = 0.8571 \)

\( X = sin^{-1}(0.8571) \)

\( X = 58.99 \)

\( m < X = 59.0 \) (rounded to nearest tenth)

Answer:

-1

Step-by-step explanation:

10^-3 x 10 = 10^-2

But you need it to be 1/10^3

So 10^-2 x 10^-1 = -2 + -1

= 10^-3

In order to put it in simplest form, the power needs to be positive.

So = 1/10^3

Meaning the missing power is -1  

-Hope this helps

 can I get Brainliest?

Answer: -1

Step-by-step explanation:

The Area of the region bounded by the graphs of the equations f(x) = -x^2 + 4x and y = 0 is 32/3 square units.

The area of the region bounded by the graphs of the equations f(x) = -x^2 + 4x and y = 0, we need to determine the x-values where the two curves intersect. These points will define the boundaries of the region.

Setting the two equations equal to each other, we have:

-x^2 + 4x = 0

Factoring out an x, we get:

x(-x + 4) = 0

This equation is satisfied when either x = 0 or -x + 4 = 0.

Solving -x + 4 = 0, we find:

x = 4

So, the two curves intersect at x = 0 and x = 4.

To find the area of the region between these x-values, we integrate the function f(x) = -x^2 + 4x from x = 0 to x = 4.

∫[-x^2 + 4x] dx from 0 to 4

Integrating, we get:

[-(x^3)/3 + 2x^2] from 0 to 4

Evaluating the definite integral, we have:

[-(4^3)/3 + 2(4^2)] - [-(0^3)/3 + 2(0^2)]

[-64/3 + 32] - [0]

(-64/3 + 32)

Simplifying, we get:

-64/3 + 96/3

32/3

So, the area of the region bounded by the graphs of the equations f(x) = -x^2 + 4x and y = 0 is 32/3 square units.

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Answer:

She will need 10 full tablets and two thirds of a tablet

Step-by-step explanation:

First we will find how many tablets ana needs for one day:

In each day ana needs 40x2 mg of medicine, they come in tablets of 15 mg. In one day, she needs 80 / 15 =  5 and 1/3 of a tablet.

In two days, she needs double that amount. (5 and 1/3) x 2 = 10 and 2/3

Ana need to take 10 and 2/3 tablets for 2 days.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

It is given that,

Ana need 40 mg tablet twice a day.

So, Total mg taken in a day = 40*2 mg = 80 mg

Since each tablet contains 15 mg

So, Total tablets taken in a day = Total mg taken / 15

⇒ Total tablets taken in a day = 80 / 15

⇒ Total tablets taken in a day = 5 and 1/3 tablets

Therefore Tablets needed in 2 days = 2*Total tablets taken in a day

⇒ Tablets needed in 2 days = 2*16/3

or, Tablets needed in 2 days = 32/3

or, Tablets needed in 2 days = 10 and 2/3 tablets

Thus,Ana need to take 10 and 2/3 tablets for 2 days.

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Answer:

F=10, S=26

Step-by-step explanation:

We know that the base is 24. Using that information, 10^2+24^2=26^2 which is a pythagorean triple

Answer:

I answered this already for you: https://brainly.com/question/16790720

Answer:

y = 72

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 12 when x = 4 and z = 3

12 = k × 4 × 3 = 12k ( divide both sides by 12 )

1 = k

y = xz ← equation of variation

When x = 9 and z = 8 , then

y = 9 × 8 = 72

Answer:

1. 16(pi)

2. 20.25(pi)

3. 30

4. 4

Step-by-step explanation:

1.

The formula for the are of a circle is (\((pi)(r)^2\)) where (pi) represents (3.1415), and (r) represents the radius or the distance from the center to the outer part of the circle. Substitute in the given values and solve,

\((pi)(4)^2\\\\16(pi)\)

2.

One can use a similar technique to find the area of the circle in the second problem. Only that the diameter of this circle is given. By its definition, the radius is always half of the diameter, thus one can substitute in the values and solve:

\((pi)(\frac{9}{2})^2\\\\(pi)(4.5)^2\\\\(pi)(20.25)\)

3.

When working with scaled representations versus their real counterpart, to go from the scaled representation to the real counterpart, one must multiply by the scale factor.

(6)(5)

= 30

4.

When one would like to go from the real subject to the scaled representation, one will divide by the given scale factor.

(20)/(5)

= 4

Hey there! :)

Answer:

x = -7/12.

Step-by-step explanation:

Given:

\(x + \frac{5}{12} = -\frac{1}{6}\)

Create a common denominator for each term:

\(\frac{12x}{12} + \frac{5}{12} = -\frac{2}{12}\)

Disregard the denominator:

12x + 5 = -2

Subtract 5 from both sides:

12x = -7

Divide both sides by 12:

x = -7/12.

The fraction of the total pies remained is option (A) 23/20 is the correct answer.

In this question,

A host served two pies, one apple and one cherry.

Dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie.

Apple pie = 25%

∴ Remaining = 100% - 25%

⇒ 75%  

⇒ Fraction of apple pie remained is 3/4

Cherry pie = 60%

∴ Remaining = 100% - 60%

⇒ 40%

⇒ Fraction of cherry pie remained is 2/5

Thus fraction of the total pies remained is

⇒ 3/4 + 2/5

⇒ (15+8) / 20

⇒ 23/20

Hence we can conclude that the fraction of the total pies remained is option (A) 23/20 is the correct answer.

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Answer:

The monthly payment is $247.53

Step-by-step explanation:

We need to firstly calculate the total amount to be paid

We have this by using the compound interest formula;

A = I ( 1 + r/n)^nt

A is the total amount to be paid back

I is the amount borrowed which is $8,000

r is the interest rate = 3.6% = 0.036

n is the number of times in a year = 12 (monthly)

t is the number of years = 3

Substituting these values ;

A = 8000(1 + 0.036/12)^(12 * 3)

A = 8000(1 + 0.003)^36

A = 8000(1.003)^36

A = 8,910.94

The monthly payment is this amount divided by the number of months in 3 years which is 36

We have this as;

8,910.94/36 = $247.53

To construct a line segment congruent to AB, draw an arc with center C and radius AB on a working line w, intersecting w at D, resulting in CD being congruent to AB by having the same length.

To construct a line segment congruent to a given line segment AB:

Draw a working line w.

Use point C as the center and construct an arc with a radius equal to the length of AB.

Let the arc intersect line w at point D.

Line segment CD, connecting points C and D, is the required line segment.

By construction, CD is congruent to AB because they have the same length.

So, the correct statement should be: Since AB and CD have the same length, AB = CD, which demonstrates congruency between the line segments.

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To derive the analytical expressions for the optimal portfolio weights of the first and second assets, we need to maximize the expected utility function.

Let's assume the weights of the first and second assets are denoted by w1 and w2, respectively. Since there is no risk-free security available, the sum of weights must be equal to 1: w1 + w2 = 1.

To find the optimal portfolio weights, we need to maximize the expected utility function with respect to w1 and w2. This can be done using optimization techniques, such as Lagrange multipliers or calculus.

We can start by taking the derivative of the expected utility function with respect to w1 and set it equal to zero to find the critical points. Similarly, we take the derivative with respect to w2 and set it equal to zero.

Next, we solve these equations to find the values of w1 and w2 that satisfy the equations. These values will give us the optimal portfolio weights for the first and second assets.

Ihe analytical expressions for the optimal portfolio weights of the first and second assets can be derived by maximizing the expected utility function and solving the resulting equations.

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The number of Packers required to do the job in 18 minutes wouid be 3

If two box packers can pack two boxes in two minutes, then each packer can pack one box per minute.

To pack 18 boxes in six minutes, we need 18/6=3 packers.

The problem can be expressed mathematically thus;

Number of packers = (Number of boxes / Time per box) / (Number of boxes per packer)

= (18 / 6) / 1

= 3

Therefore, the number of Packers required is 3

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Answer:

Step-by-step explanation:

principle=1000

time= 2 years

rate = 2×12=24/100=0.24%

simple intrest= p×r×t

= 1000 × 0.24 × 2

=480 rupees

total amount will be 1000 + 480= 1480

Step-by-step explanation:

Look, you're taking these kinds of questions too serious and that's why you believe they're hard, now pay close attention:

the areas are defined in cm² but the radius is defined in cm, so you need find the positive root of cm².

\( \sqrt{ \frac{5500 {cm}^{2} }{220 {cm}^{2} } } = \frac{r}{5cm} = = > \\ 5 = \frac{r}{5} = = = > r = 25\)

and the question wants the base area:

\(s = \pi {r}^{2} = = = > s = 3.14 \times {(25cm)}^{2} = = > 1963.5 {cm}^{2} \)

On soloing the provided question, we can say that an equation from the graphs for the function. 3x + 13.5y = 4.5 and x+1.5y = 2

Mathematicians use graphs to logically represent or chart facts or values. Typically, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, or vertices, and edges. The nodes, also known as vertices, should be joined with glue. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 4, and 2.5. (3.5). (4.5). Graphical depictions of exponential growth in statistical charts (bar charts, pie charts, line charts, etc.). triangle-shaped logarithmic graph.

an equation for the function.

3x + 13.5y = 4.5

and x+1.5y = 2

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Answer:

3753.20 ft

Step-by-step explanation:

tan 80° = 3400 ft/x

x = 599.51 ft = distance at ground level from point directly below mountain peek to edge of mountain.

599.51 ft + 990 ft = 1589.51 ft = horizontal distance at ground level from where cable is attached to the ground to the center of the mountain. This is a leg of a right triangle.

3400 ft is another leg of a right triangle.

(1589.51 ft)² + (3400 ft)² = y²

The hypotenuse, y, is the length of the cable.

y = 3753.20 ft

Answer: No

Step-by-step explanation: No because y is not the same as x.

Answer:

(5 × 7 × 13) + (6 × 7 × 3) = 455 + 126

= 581 cubic cm

Answer:

14

Step-by-step explanation:

Given that 22+2 de 23+3.2-92-27We begin by factoring the denominator of the rational function: 23+32-92-27-(2-a)(0-1) for ab.

We can write the given function as:2 + 2/(x - 2) + 3/(x + 3) - 9/(x - 9) - 27/(x + 27)To find the values of A, B, and C, we need to take the common denominator which is (x - 2)(x + 3)(x - 9)(x + 27)A

= 2(x + 3)(x - 9)(x + 27) + 2(x - 2)(x - 9)(x + 27)

= 50x³ + 5350x² + 41325x + 52590B

= 3(x - 2)(x - 9)(x + 27) - 9(x + 3)(x - 2)(x + 27)

= - 44x³ - 2919x² - 405x - 972C

= (x - 2)(x + 3)(x - 9) + 3(x - 2)(x + 27) - 9(x - 9)(x + 27)

= - 6x³ - 27x² + 1107x + 972.

The partial fraction decomposition is given as:2 + 2/(x - 2) + 3/(x + 3) - 9/(x - 9) - 27/(x + 27) = (25/35)/(x - 2) + (-11/6)/(x + 3) + (11/38)/(x - 9) + (- 1/2)/(x + 27) Now, we can integrate it as follows: ∫(25/35)/(x - 2)dx + ∫(-11/6)/(x + 3)dx + ∫(11/38)/(x - 9)dx + ∫(-1/2)/(x + 27)dx= 25/35 ln│x - 2│ - 11/6 ln│x + 3│ + 11/38 ln│x - 9│ - 1/2 ln│x + 27│ + c

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Answer:

Step-by-step explanation:

The amount A is said to vary inversely with n, so the equation relating the two is ...

  A = k/n

The value of k can be found by multiplying this equation by n:

  k = nA

Using values from the first line of the table, we find ...

  k = (1)(25000) = 25000

So the relation we need to use to fill the table is ...

  A = 25000/n

The filled table is attached.

__

As we saw in part 1, the product A*n is the constant of proportionality. It is a constant.

Answer:

Volume of the shaded space = 4480.0 yd³

Step-by-step explanation:

Volume of the shaded space = Volume of cuboid - Volume of Pyramid placed inside

Volume of cuboid = Length × Width × Height

                              = 28 × 12 × 20

                              = 6720 yd³

Volume of pyramid = \(\frac{1}{3}(\text{Area of the base})(\text{Height})\)

                                = \(\frac{1}{3}(28\times 12)(20)\)

                                = 2240 yd³

Volume of the shaded space = 6720 - 2240

                                                  = 4480.0 yd³