You start at (5, -4), You move up 3 units. Where do you end?

Answer:

1st formula 2n + 3m = 280

2nd formula 2n + 5m = 320

rearrange 1st formula to equal n:

   2n = -3m + 280

    n = -3/2 m + 140

rearrange 2nd formula to equal n:

2n = -5m + 320

n = -5/2m + 160

so now you have

-3/2m + 140 = -5/2m + 160

Rearrange to become:

-3/2m + 5/2m = 160 - 140

m = 20

Now place 20 into the very 1st equation in place of the letter m

2n + 3(20) = 280

2n + 60 = 280

2n = 220

n = 110

so it costs $110 per night, $20 per meal

To determine the sinusoidal expression for the current in a capacitor, we will use the following equation:

I(t) = C * (dV(t)/dt)

Where I(t) is the current at time t, C is the capacitance (1 μF in this case), and dV(t)/dt is the derivative of the voltage function V(t) with respect to time.

Let's examine both voltage expressions:

a) V(t) = 30sin(200t)

b) V(t) = 60×10^(-3)sin(377t)

Now, let's find the derivatives:

a) dV(t)/dt = 30 * 200 * cos(200t)

b) dV(t)/dt = 60 * 10^(-3) * 377 * cos(377t)

Next, we will multiply each derivative by the capacitance C (1 μF):

a) I(t) = 1×10^(-6) * 30 * 200 * cos(200t)

b) I(t) = 1×10^(-6) * 60 * 10^(-3) * 377 * cos(377t)

Finally, we can simplify the expressions:

a) I(t) = 6 * 10^(-3) cos(200t) A

b) I(t) = 22.62 * 10^(-6) cos(377t) A

Thus, the sinusoidal expressions for the current in each case are:

a) I(t) = 6 * 10^(-3) cos(200t) A

b) I(t) = 22.62 * 10^(-6) cos(377t) A

Know more about sinusoidal expression,

https://brainly.com/question/31428905

#SPJ11

The price of the pear is $0.6

Given:

The total cost of lunch is $3.50, consisting of a juice, a sandwich, and a pear.The juice cost 1.5 times as much as the pear.The sandwich costs $1.40 more than the pear.

From above statements

Juice + sandwich + pear = $3.50      -----------eq(1)

Juice = 1.5 * pear

sandwich = pear + $1.40

substitute juice and sandwich values in eq(1)

1.5 pear + pear + $1.40 + pear = $3.50

3.5 pear = $3.50 - $1.40

pear = $2.10/3.5

pear = $0.60

Hence the price of the pear is $0.6

Learn more about the price and pear here:

https://brainly.com/question/22237949

#SPJ1

The solution set of the given homogeneous system in parametric vector form is (x1,x2,x3)=(s,-2,-5)

Parametric vector form:

If there are m-free variables in the homogeneous equation, the solution set can be expressed as the span of m vectors:

x = s1v1 + s2v2 + ··· + sm vm. This is called a parametric equation or a parametric vector form of the solution.

A common parametric vector form uses the free variables as the parameters s1 through sm

Given is a system of equations

We are to solve them in parametric form.

x1 + 3x2 + x3 = 0 --------(1)

-4x1 + 9x2 + 2x3 = 0 ---------(2)

-3x2 - 6x3 = 0--------(3)

From equation(3)

-3x2=6x3

x2=-2x3

substitute in equation(1) and equation(2)

x1+3(-2x3)+x3=0

x1-6x3+x3=0

x1-5x3=0

x1=5x3

So the solution in parametric form is (x1,x2,x3) = (s,-2,5) for all real values.

To know more about Parametric vector form:

https://brainly.com/question/14778174

#SPJ4

Answer:

the factors of 12 are 1, 2, 3, 4, 6, and 12. So the greatest common factor of 9 and 12 is 3. So you divide both sides by 3. So the simplest form of 9/12 is 34.

Step-by-step explanation:

hope his correct, .. sorry if not <33

can you mark branliest if right?

Answer:

3/4

Step-by-step explanation:

so you have 9/12, to ind the simplest form you would divide by 3 since you can multiply 3 to get these answers.

9/3=3

12/3=4

so the answer is 3/4

Answer:

11

Step-by-step explanation:

Answer:11

Step-by-step explanation:

because you have to create the equation and solve

Step-by-step explanation:

5x = 85

Answer:

4) B

5) B

6) A

Step-by-step explanation:

Answer:

4) no

5) 8x + 1.50

6) 1, 2, 0, 5

Step-by-step explanation:

4) no- first step is to subtract 10

5) number of apples times price of $8 plus a single purchase of $1.50

6) all values greater than -2

The simplified expression is -12 and 5/12

In mathematics, an expression is a combination of symbols and/or numbers that can be evaluated or simplified to produce a certain value. Expressions can contain variables, constants, operators, and functions, and can be written in a variety of forms, such as algebraic expressions, trigonometric expressions, and exponential expressions.

Negative 4 and 2 over 3 can be written as -(4 x 3 + 2) / 3 = -14 / 3

7 and 3 over 4 can be written as 7 x 4 + 3 / 4 = 31 / 4

Next, you need to find a common denominator for the two fractions, which is 12. To convert -14/3 to a fraction with a denominator of 12, you need to multiply the numerator and denominator by 4, giving you -56/12. To convert 31/4 to a fraction with a denominator of 12, you need to multiply the numerator and denominator by 3, giving you 93/12.

Finally, you can subtract the two fractions by subtracting their numerators and keeping the denominator the same:

(-56/12) - (93/12) = -149/12

To convert this improper fraction back to a mixed number, you can divide the numerator by the denominator and get a quotient of -12 with a remainder of -5.

Therefore, the simplified expression is -12 and 5/12 or -12.41667 (rounded to five decimal places).

To know more about expression visit:

https://brainly.com/question/1859113

#SPJ1

Answer: 0.6/0.8

= (0.6*100)/(0.8*100) {multiplying by 100 in both numerator and denominator}

= 60/80 (cut the zero)

= 6/8 (cut by 2)

= 3/4

Answer: A googolplexian

Step-by-step explanation: A googolplexian is a number with a googol of zeros after it.

hope this helps!

please give brainliest!

Answer:

Measure of angle B is 70 degrees

Step-by-step explanation:

If they are both supplementary, it means that add up to be 180 degrees

Thus;

5x + 25 + 3x + 19 = 180

8x + 44 = 180

8x = 136

x = 136/8

x = 17

Measure of angle B will be;

3(17) + 19

= 51 + 19 = 70 degrees

Answer:

D +7

Step-by-step explanation:

Because he is first on the 10th floor, he goes up 6 to the 16th floor, he then goes down to the 3rd floor to get something. he needs to go up +7 floors to get to his office...

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Given the inequality::

Let's solve the inequality for x and graph.

To solve for x, first divide both sides of the inequality by 3:

Since the left side is an absolute value, we have two possible solutions:

Let's solve each inequality for x:

For the second inequality:

Hence, we have the solutions:

x < 1 and x > -3

Therefore, the solution is:

-3 < x < 1

The graph of the inequality is shown below:

ANSWER:

-3 < x < 1

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

Read more on ratio:

https://brainly.com/question/2328454

#SPJ1

Answer:

The experimental probability of the coin landing heads up is 110/200 = 11/20.

The probability is 1/2.

The correct statement in Mai's experiment is, The experimental probability of the coin landing heads up is (11/20) and the theoretical probability of the coin landing heads up is (1/2)

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Experimental probability is repeating an experiment and observing the outcomes and theoretical probability is the expected value.

In the given context the expected value is 200×(1/2) = 100, As P(H) = 1/2 and P(T) = 1/2.

Upon experiment, the coin landed 110 times heads up.

Therefore, The theoretical likelihood of the coin landing heads up is (1/2), while the experimental probability is (11/20).

learn more about probability here :

https://brainly.com/question/743546

#SPJ6

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

Learn more about nomenclature here:

https://brainly.com/question/13717281

#SPJ11

A high-quality paintbrush can hold a significant amount of paint without it running off the bristles due to its unique design and construction.

The bristles are designed to be absorbent and have a capillary action that helps retain the paint, allowing for controlled application and minimizing waste.The bristles of a good paintbrush are made of materials like natural or synthetic fibers that have absorbent properties. These materials are capable of holding and retaining a certain amount of liquid, including paint. The bristles are often packed densely, creating a large surface area for paint retention.

The capillary action plays a crucial role in preventing the paint from running off the bristles. Capillary action is the ability of a liquid to flow in narrow spaces, such as the gaps between bristles. When the brush is dipped into paint, the liquid is drawn up into the spaces between the bristles due to capillary forces. This action creates a reservoir of paint within the brush, allowing for a controlled release during painting.

The combination of absorbent bristles and capillary action enables a high-quality paintbrush to hold a substantial amount of paint without it simply running off the bristles. This design feature ensures efficient paint application, reduced drips, and better control over the painting process.

To learn  more about bristles.

Click here:brainly.com/question/28104082?

#SPJ11

The answer is the first option -6

Because we are looking numbers that are stricly bigger than -6 and stricly smaller than 6, we need to use < or >, and not the ≤ or ≥.

Then we can rule aout t

Answer:

-7

Step-by-step explanation:

-9+(-2)

-9+2=

-7

The expected value of the maximum of two dice rolls is a)4.4722, the expected value of the square of the maximum of two dice rolls is b)21.2222, and the variance of the maximum of two dice rolls is c) 1.9715.

The expected value of a random variable X is the weighted average of all possible values that X can take on. In this case, we need to find the expected value of the maximum of two dice rolls.

a. E(x) = (1/36)*(2) + (2/36)*(3) + (3/36)*(4) + (4/36)*(5) + (5/36)*(6) + (6/36)*(6) = 4.4722

b. E(x^2) = (1/36)*(2^2) + (2/36)*(3^2) + (3/36)*(4^2) + (4/36)*(5^2) + (5/36)*(6^2) + (6/36)*(6^2) = 21.2222

c. var(x) = E(x^2) - (E(x))^2 = 21.2222 - (4.4722)^2 = 1.9715

For more similar questions on probability :

brainly.com/question/13604758

#SPJ11

Answer:

1 hr, 4 sec

Step-by-step explanation:

The circumcenter is the center of the circle which goes through the triangle's vertices, so the circumcenter of the triangle and the center of that circumscribed circle MUST be the same point.

The same goes for the incenter and the center of the inscribed circle, though these will not, in general, be the same point as the circumcenter.

Answer: Another name of circumcenter is, " Circumscribed circle ". The circumcenter is the center point of the circumcircle drawn around a polygon. The circumcircle of a polygon is the circle that passes through all of the polygon's vertices & the center of that circle is called the circumcenter. All polygons that have circumcircles are known as cyclic polygons. However, all polygons does not have a circumcircle. Only regular polygons, triangles, rectangles, and right-kites can have the circumcircle and thus the circumcenter as well.

You may find that the circumcenter of a triangle as the most common thing asked in exams and it is generally what schools begin with. So, some brief information about the circumcenter of a triangle is given below. You may safely ignore them if you haven't learned them yet.

The circumcenter of triangle can be found out as the intersection of the perpendicular bisectors (the lines that are at right angles to the midpoint of each side) of all sides of the triangle. This means that the perpendicular bisectors of the triangle are concurrent (meeting at one point). All triangles are cyclic and hence, can circumscribe a circle, therefore, every triangle has a circumcenter.

Property 1: All the vertices of the triangle are equidistant from the circumcenter.

Property 2: All the new triangles formed by joining O to the vertices are Isosceles triangles.

Property 3: Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle

Property 4: In an acute-angled triangle, circumcenter lies inside the triangle

Property 5: In an obtuse-angled triangle, it lies outside of the triangle

Note- Location for the circumcenter is different for different types of triangles.

The circumcenter of any triangle can be constructed by drawing the perpendicular bisector of any of the two sides of that triangle. The steps to construct the circumcenter are:

P(X, Y) = [(x1 sin 2A + x2 sin 2B + x3 sin 2C)/ (sin 2A + sin 2B + sin 2C), (y1 sin 2A + y2 sin 2B + y3 sin 2C)/ (sin 2A + sin 2B + sin 2C)]

 ∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
  hope it helped
┗━━━━━━━┛

Answer:

1/10

Step-by-step explanation:

Answer: 0.1

Step-by-step explanation:

The equation of the line normal to the curve y=8tan(x2) at x=0.1825 is

=> y = 0.37985x + 7.4876.

To find the equation of the line normal to the curve y=8tan(x2) at x=0.1825, we need to find the derivative of the function first.

The derivative of y=(3x-cos2(x))4 is:

y'= 12(3x-cos2(x))3(3+2sin2(x))

At x=0.1825, the derivative of the function is

y'= 12(3*0.1825-cos2(0.1825))3(3+2sin2(0.1825))= 0.37985.

Now, the equation of the line normal to the curve at the given point (0.1825, 8tan(0.18252)) is given by:

y - 8tan(0.18252) = 0.37985(x - 0.1825).
Therefore, the equation of the line normal to the curve y=8tan(x2) at x=0.1825 is y = 0.37985x + 7.4876.

To learn more about line normal to curve refer :

https://brainly.com/question/10664419

#SPJ11

Answer:

10 stickers on one sheet

Step-by-step explanation:

96 - 16 ÷ 8 =

80 ÷ 8 = 10

have a nice day! :)

Answer:

B (1/x^2 - 4x + 3)

Step-by-step explanation:

You can first write the second equation as multiplication by multiplying by the reciprocal and then expand.

The result of the given division expression is \(\frac{1}{(x-3)(x-1)}\)

Given the expression;

Factorize the quadratic function in the expression to have:

\(=\frac{x+3}{x^2-3x+x-3} \div \frac{x^2+3x-x-3}{x+1} \\=\frac{x+3}{x(x-3)+1(x-3)} \div \frac{x(x+3)-1(x+3)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \div \frac{(x+3)(x-1)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \times \frac{x+1}{(x+3)(x-1)} \\=\frac{1}{(x-3)(x-1)}\)

Hence the result of the given division expression is \(\frac{1}{(x-3)(x-1)}\)

Learn more on function here:

https://brainly.com/question/22340031