tan(-x)cos(-x) simplify

The number of nickels is 173.

The number of dimes is 258.

The number of quarters is 69.

The coins are worth $51.7.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

For every 2 nickles, there are 3 dimes.

For every 2 dimes, there are 5 quarters.

This means,

Let,

Nickles = N

Dimes = D

Quarters = Q

2N = 3D

N = 3D/2

2D = 5Q

Q = 2D/5

Now,

N + D + Q = 500

3D/2 + D + 2D/5 = 500

15D + 10D + 4D = 500 x 10

29D = 5000

D = 5000/29

D = 173

Now,

N = 3 x 172 / 2

N = 3 x 86

N = 258

Q = 2 x 172 / 5

Q = 69

Now,

Total coins = 500

173 + 258 + 69 = 500

Now,

20 nickels = $1

10 dimes = $1

4 quarters = $1

So,

173 nickels = $1 x 173 / 20 = $8.65

258 dimes = $1 x 258 / 10 = $25.8

69 quarters = $1 x 69 / 4 = $17.25

The total worth.

= $8.65 + $25.8 + $17.25

= $51.7

Thus,

The number of nickels is 173.

The number of dimes is 258.

The number of quarters is 69.

The coins are worth $51.7.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The second triangle pairs are not necessarily congruent.

Option 2 is true.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

There are some triangles is shown in figure.

Now,

We know that;

Two triangles are congruent by theorem of SAS , ASA theorem.

So, When the ''two sides and one angle'' or ''two angle and one side'' are equal to another triangle then the triangles are congruent.

Here, In second option we have;

Only angles are equal, which make them similar not congruent.

Thus, We get;

The second triangle pairs are not necessarily congruent.

Learn more about the triangle visit:

brainly.com/question/17335144

#SPJ1

Answer:

$13 overpayment

Step-by-step explanation:

We can find the amount Trevor should pay each month by dividing the $26,555 by 36 months:

               ($26,555/(36 months)) = $737.64 per month

Since Trevor decide to round up to the nearest dollar, he will pay $738 each month.  That's an overpayment of $0.361 each month.

After 36 months of overpaying by $0.361 each month, Trevor will have overpaid:

  ($0.36/month)*(36 months) = $13 overpayment

A negative result does not mean that you do not have the disease. It could be a false negative.

The reasons that could be there for a negative result when there is  actually the presence of the disease

The ELISA may not be sensitive enough to detect very low concentration  of the disease agent, as might occur when one is tested soon after infection before a proper immune response occurs.

As HIV buds from the surface of the host cell, it incorporates some of the host cell Human leukocyte antigen into its envelope. False negatives usually occurs during the window between infection and an antibody response to the virus which is known as seroconversion.

Therefore, if the sample gave a negative result for the disease-causing agent, it does not mean that you do not have the disease

To learn more about ELISA refer here

https://brainly.com/question/16012124

#SPJ4

Answer: -10

Step-by-step explanation:

y2-y1

---------

x2-x1

The initial value for the equation, -12x - 10y = -50, is: 5.

The initial value of a linear equation is also known as the y-intercept of the  equation. Th equation in slope-intercept form can be expressed as y = mx + b, where the initial value of the equation is represented as the value of b, while m is the slope.

Given the linear equation, -12x - 10y = -50, in standard form, to find the initial value, b, we have to rewrite the equation in slope-intercept form:

-12x - 10y = -50

Add 12x to both sides of the equations:

-10y = 12x - 50 [addition property of equality]

Divide both sides by -10

-10y/-10 = 12x/-10 - 50/-10 [division property of equality]

y = -6/5x + 5

Thus, the initial value of the y-intercept of the equation is: 5.

Learn more about the initial value of linear equation on:

https://brainly.com/question/10155554

#SPJ1

Answer:

Yes

Step-by-step explanation:

y = 2x - 8  Plug is 6 for x and 4 for y

4 = 2(6) - 8

4 = 12 - 8

4 = 4

(6,4) is a solution for this equation

y = -1/3 x + 6

4 = -1/3(6) + 6

4 = -2 + 6

4 = 4

(6,4) is a solution for this equation too.

The given equation 11= - 4x^2-x^3 is not quadratic. It is a cubic.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax^2 + bx + c = 0. where a, b, and c are numerical coefficients and x is an unknown variable.

Quadratic expressions are those involving powers of x up to the second power, not the fourth power, hence the prefix quad signifies "four" rather than "two."

As highest power with the variable is 3 so it is a cubic expression not a quadratic.

To learn more about quadratic visit the link:

brainly.com/question/1214333

#SPJ4

The speed of a point on the rim  is 2.44 m/s.

What is a quick answer for diameter?

The diameter is the distance along the circle's center that must travel in order to touch two points on its edge.

First convert diameter into radius

r = d/2 = 0.08/2 = 0.04 m

The moment of inertia of disc is given by

I = 0.5mr²

Where m is the mass and r is the radius of the disk

I = 0.5(0.1)(0.04)²

I = 0.00008 kg.m²

and since we are dealing with rotational motion then rotational kinetic energy is given by

E  =  0.5 I ω²

we have to separate ω

ω² = E/0.5 I

ω = √E/0.5 I

ω = √0.15/0.5(0.00008)

ω = 61.23 rad/sec

Finally we know that speed is given as

v = ω r

v = 61.23 (0.04)

v = 2.44 m/s

Therefore, the speed of a point on the rim  is 2.44 m/s.

Learn more about diameter

brainly.com/question/13624974

#SPJ4

The complete question is -

A thin, 100 g disk with a diameter of 8.0 cm rotates about an axis through its center with 0.15 J of kinetic energy. What is the speed of a point on the rim

Option B is correct answer, 79 pounds is equal to 35.866 kilograms.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. Minutes can be used to measure time instead of hours, and feet, kilometers, or any other measurement can be used to measure distance in place of miles. Measurements are typically provided in one system of measurement, such as feet, but are necessary in a different system, such as chains. A mathematical formula known as a conversion factor enables an equivalent exchange of feet for chains.

As it is given in the question,

1 Pound =  0.454 Kilograms,

So, In order to convert 79 pounds into kilograms we have to multiply 0.454 by 79.

79 pounds = 79(0.454) kilograms

79 pounds = 35.866 kilograms

Therefore, option B is correct answer.

To know more about unit conversion, go to link

https://brainly.com/question/141163

#SPJ1

Answer: 79 pounds = 35.866 kilograms. Option B is correct!

The Expert was correct. Can I get brainliest because it's right?

Answer:

2? – (-6)x +(-27), x² + 6x – 27 = 0

Step-by-step explanation:

i used a calculator

The length of the wire attached to the pole is 20.62 feet

The pole is perpendicular to the ground in the direction of the point where the wire is attached to the ground to form a right angle triangle.

A leg of the triangle is 20 feet(length of the pole from the surface of the ground to the top)

The other leg is5 feet(distance from the base of the pole to the point where the wire is attached to the ground)

The third side of the right angle triangle is the hypotenuse(length of the wire)

Applying Pythagoras theorem;

Hypotenuse² = Opposite² + Adjacent²

= 20 feet ² + 5 feet²

= 400 + 25

Hypotenuse² = 425

Find the square root of both sides

Hypotenuse = √425

= 20.6155

Approximately,

Hypotenuse = 20.62 feet

In conclusion, the hypotenuse side of the right angle triangle is 20.62 feet

Read more on Pythagorean theorem:

https://brainly.com/question/22568405

#SPJ1

Answer: AB≈7.62 units

Step-by-step explanation:

A(-3,4)      B(4,7)

[tex]\boxed {L=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }\\\\x_1=-3\ \ \ \ x_2=4\ \ \ \ y_1=4\ \ \ \ y_2=7[/tex]

Hence,

[tex]AB=\sqrt{(4-(-3))^2+(7-4)^2} \\\\AB=\sqrt{(4+3)^2+3^2} \\\\AB=\sqrt{7^2+9} \\\\AB=\sqrt{49+9} \\\\AB=\sqrt{58} \\\\AB\approx7.62\ units[/tex]

There are two solutions if a is positive, one solution if a is 0, and no solutions if a is negative.

If x² = a, then x can be either positive or negative.

Thus, there are two solutions if a is positive, one solution if a is 0, and no solutions if a is negative.

Example 1: a = 9

If a = 9, then x² = 9,

so x can be either 3 or -3.

Thus, there are two solutions in this case: x = 3 or x = -3.

Example 2: a = 0

If a = 0, then x²= 0,

so x can only be 0.

Thus, there is one solution in this case: x = 0.

Example 3: a = -4

If a = -4, then x² = -4, which is not possible because the square of a real number cannot be negative.

Thus, there are no solutions in this case.

Learn more about solution of equation on:

brainly.com/question/15523338

#SPJ1

Answer:

1. Alternate exterior angles

2. Vertically opposite angles

3. Alternate interior angles

4. Corresponding angles

One would expect the foreword of a book to be found:

C. At the beginning of the book

The foreword in a book refers to the introductory part of the book that is written by an expert on the subject discussed by the book. The foreword of a book is located at the beginning part of the book and it provides reasons that readers should consider reading the book.

The foreword is not meant to dissuade the readers but to encourage them on the importance and content of the book. It is logical then to expect this feature of books to be located at the beginning of the book.

Learn more about the foreword of a book here:

https://brainly.com/question/14809155

#SPJ1

Answer:there is no diagram

Step-by-step explanation:

Total 56, integers are remained if all multiples of 4 and all multiples of 5 are removed from the set of integers from 1 through 100.

We have given that,

from the set of first 100 integers numbers, all the multiples of 5 and 4 are removed.

According to the question,

The multiples of 4 upto 100,

S = { 4, 8, 12......, 96}

it is an Arithmetic progression sequence with

a = 4 , l = 96 , d = 4

using an = a + (n-1)d where

n --> number of terms in sequence

d ---> common difference between two consecutive terms

a ---> first term

=> 96 = 4 + (n-1)4

=> (n-1) = 92/4

=> n = 23 + 1 = 24

Total multiples of 4 upto 100 is 24 .

Now, multiples of 5 upto 100

Q = { 5, 10, 15, ....,100}

Similarly as for above case

a = 5 , d = 5 , l = 100

=> 100 = 5 + (n-1)5

=> (n-1)5 = 95

=> n-1 = 19

=> n = 20

Total multiples of 5 upto 100 is 20.

Remained integers upto 100 = 100 - 20 -24

= 56

Hence, the required number of integers are 56.

To learn more about Arithmetic progression, refer:

https://brainly.com/question/16954227

#SPJ4

Answer:

1512 inches

Step-by-step explanation:

42 x 36

Answer:

After Rajesh took 493 stones, you would have 471 stones left.

Step-by-step explanation:

If you started with 964 stones and Rajesh took 493 stones, then you would have 964 - 493 = 471 stones left.

Step-by-step explanation:

Just write the number in the numerator place.

[tex] \frac{51}{} [/tex]

and then check the decimal point means how many number before is the point.

e. g. here is two numbers.

Then write 1 and 0 in the place of denominator.

Note: write 0 that times in which the decimal point is before the number.

[tex] \frac{51}{100} [/tex]

and at last simplify the fraction. if possible here is not. it is the simplest form of the fraction.

hope understand

Answer: plug -15 in for x and if we get get -9 out because 2/3 of -15 is -10 and -10+1 =-9
we can do the same for the rest of these and we see that they'll come out to the y value

Parametric equations describe a physical situation only when we have to draw the coordinates of the figure which actually didn't have any such coordinates.

There are many reasons. The best way to answer any “why?” question in math is to work, at least a little, with the subject to see what it can do.

With parametric equations you will find that they simplify many problems that are a complex jumble of variables if viewed in rectangular coordinates.

To illustrate a very simple case:

Define a certain circle as: x^2 + y^2 = 25 in rectangular coordinates.

Switching to polar coordinates we have: x = 5*cos(theta) and y = 5*sin(theta).

We have parameterized an equation in two variables into two simpler equations in the one variable theta. We did this by finding a single variable (the parameter theta) that will show the behavior of x and y independently.

This can be a very powerful tool if we have an equation in many variables and can reduce it to many equations but in fewer variables.

To know more about the parametric equations

https://brainly.com/question/29727974

#SPJ4

On solving the provided question we can say that - 112 child tickets were sold that day

equation: a statement that two expressions having variable- and/or number-filled expressions are equivalent. Since equations are essentially questions, finding a way to respond to them has been a major driving force behind the development of mathematics.

Call the number for children and the number for adults to get:

[tex]5.20c+8.50\\ a=1097.60[/tex]

and

a=4c

indicating that there were four times as many adults as youngsters.

Using this value in place of a

into the first equation we get:

[tex]5.2c+8.5(4c)=1097.6\\ 5.2c+34c=1097.6[/tex]

rearranging:[tex]c=1097.639.2=28[/tex]

and so:

[tex]a=4c=4⋅28=112[/tex]

To know more about equation visit:

https://brainly.com/question/649785

#SPJ4

Answer: -5

Step-by-step explanation:

[tex]-2.5y + 8y - 10.5[/tex]

[tex]= 5.5y - 10.5y[/tex]

[tex]= -5y[/tex]

Hence, the answer is [tex]-5[/tex].

Answer:

---------------------------------------------

All terms have same variable of y.

Collect all terms and simplify by adding up the coefficient:

The coefficient of the variable is -5.

The x-coordinate of the point K that divides AB in 3:1 will be -5.

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The directions of the endpoints A and B are given. A (7,6) and B (- 9,- 6). Point K is situated on the Stomach muscle with the goal that AK: KB = 3/1.

Then the x-coordinate of the point K is given as,

x = (mx₂ + nx₁) / (m + n)

x = [3(-9) + 1(7)] / (3 + 1)

x = (- 27 + 7) / 4

x = - 20 / 4

x = - 5

The x-coordinate of the point K that divides AB in 3:1 will be -5.

More about the section of the line link is given below.

https://brainly.com/question/6582647

#SPJ1

The number of cans of soup bought is 8 and the number of frozen dinners purchased is 3.

s + f = 11 equation 1

350s + 650f = 4750 equation 2

Where:

The elimination method would be used to solve for the required values:

Multiply equation 1 by 350

350s + 350f = 3850 equation 3

Subtract equation 2 from equation 3 :

300f = 900

f = 900 / 300

f = 3

Substitute for f in equation 1 :

s + 3 = 11

s = 11 - 3

s = 8

To learn more about system of equations, please check: brainly.com/question/25875552

#SPJ1

The standard deviation is decreases then the graph of the normal z - score curve is increases.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean. If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.

In mathematics, the Z score is used to quantify how many standard deviations the raw score deviates from or approaches the mean. Giving the z score are:

z = (x - μ ) / σ

Where,

x = raw score

μ = mean

σ = standard deviation

For a sample size,

z =  (x - μ ) / σ / [tex]\sqrt{n}[/tex]

The z score affects the area under the curve. The area under the curve increases as the z score increases and decreases as the z score decreases.

The standard deviation has an inverse relationship with the area under the curve (z score). The z score drops as the standard deviation rises, diminishing the area under the curve.

The area under the curve grows as the standard deviation is reduced because the z score increases.

Therefore,

The standard deviation is decreases then the graph of the normal z - score curve is increases.

To learn more about Standard deviation visit :

brainly.com/question/23907081

#SPJ4