What is the expression that means the same as 7 less than the square of a number? A. 7-2x B. 7-2× C. 7-x2 D. x2-7 ​

Answer:

cos30= (root3)/2 cos45= (root2)/2 cos60= 1/2

so the correct answer is 30

The speed of the first butterfly is 70 m/min, while the speed of the second butterfly is 80 m/min

Represent the speed of the first butterfly with x.

Given that the flowerbeds are 560 meters apart, and rate of one butterfly is 10m/min greater than the other

Then, we have:

\(B_1 = \frac{560}{x}\)

\(B_2 = 1 + \frac{560}{x+10}\)

Equate both equations

\(1 + \frac{560}{x+10} = \frac{560}{x}\)

Using a graphing calculator, we have:

\(x = 70\)

Also, we have:

\(x + 10 = 80\)

This means that, the speed of the first butterfly is 70 m/min, while the speed of the second butterfly is 80 m/min

Read more about speed and rates at:

https://brainly.com/question/19493296

Answer:

42

Step-by-step explanation:

28 + 14

yeah-ya...... right?

Answer:

15 shirts

Step-by-step explanation:

Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same

A: 12.5 + 0.40x

B: 14.75 + 0.25x

12.5 + 0.40x = 14.75 + 0.25x

subtract 12.5 from both sides:

12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5

0.40x = 2.25 + 0.25x

subtract 0.25x from both sides:

0.40x - 0.25x = 2.25 + 0.25x - 0.25x

0.15x = 2.25

divide both sides by 0.15:

0.15x/0.15 = 2.25/0.15

x = 15

Answer:

r = 10

Step-by-step explanation:

The proportion is given by, y=rx

y = 10x

3*10=30

10*10=100

16*10=160

So, constant of proportionality r is 10

Answer:

15. C

16. A

Step-by-step explanation:

Good luck brotha!

La factorización de la suma o diferencia de potencias de igual exponente se realiza utilizando las siguientes fórmulas:

1. Suma de potencias de igual exponente:

a^m + b^m = (a + b) (a^(m-1) - a^(m-2) b + a^(m-3) b^2 - ... + b^(m-1))

2. Diferencia de potencias de igual exponente:

a^m - b^m = (a - b) (a^(m-1) + a^(m-2) b + a^(m-3) b^2 + ... + b^(m-1))

Donde "a" y "b" son los términos que se suman o restan y "m" es el exponente común de ambas potencias.

Es importante notar que la fórmula para la suma contiene una alternancia de signos entre los términos dentro del paréntesis, comenzando con un signo positivo y luego alternando entre signos negativos y positivos en orden descendente. Por otro lado, la fórmula para la diferencia contiene una alternancia de signos entre los términos dentro del paréntesis, comenzando con un signo positivo y luego alternando entre signos positivos y negativos en orden descendente.

Espero que esto te ayude a entender la factorización de la suma o diferencia de potencias de igual exponente. Si tienes alguna otra duda, ¡no dudes en preguntar!

We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula

\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)

The Newton-Raphson method involves the following steps:

Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)

Find the next approximation x_{n+1} by using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Let's apply these steps to our equation \(x^k e^x = 0\):

Calculate the function value and its derivative:

\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)

Find the next approximation x_{n+1} using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Substituting the function value and its derivative:

\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)

Simplifying the expression by combining like terms:

\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

for such more question on Newton-Raphson iteration

https://brainly.com/question/17150870

#SPJ8

The distance between point C and the perpendicular bisector of AB is 2√3.

Given points A(9, 2), B(5,6), and C(-3,-2).

We need to find the distance between point C and the perpendicular bisector of AB.

We first need to find the midpoint of line segment AB using the midpoint formula:

Midpoint of AB

= [(x1 + x2)/2, (y1 + y2)/2]

= [(9+5)/2, (2+6)/2]

= [(14/2), (8/2)]

= (7, 4)

Now, we need to find the slope of the line AB:

Slope of AB= (y2 - y1) / (x2 - x1)

= (6-2) / (5-9)

= 4/-4

= -1

So, the slope of the perpendicular bisector to AB is 1 (negative reciprocal of -1).

Now we need to find the equation of the perpendicular bisector of AB, which passes through (7, 4) with a slope of 1.

Using point-slope form of the line: y - y1 = m(x - x1)y - 4

= 1(x - 7)y - 4

= x - 7y

= x - 3

Now we have the equation of the perpendicular bisector of AB.

Now we can find the distance between C and the line by finding the length of the perpendicular from C to the line.

To do this, we need to find the equation of the line that is perpendicular to the line we found, which passes through point C, and then find the point where the two lines intersect.

This new line has a slope of -1, since it is perpendicular to the line with slope 1.

Using point-slope form of the line:

y - y1 = m(x - x1)y - (-2)

= -1(x - (-3))y + 2

= -x - 3y

= -x - 5

Now we have the equation of the new line.

Now we can find the point of intersection of the two lines:

y = x - 3y

= -x - 5

Adding the two equations:

2y = -8y

= -4

The point of intersection is (-4, -4).

Now we can find the distance between C and (-4, -4) using the distance formula:

Distance between C and (-4, -4) = √(x2 - x1)2 + (y2 - y1)2

= √((-3 - (-4))2 + (-2 - (-4))2)

= √(12)

= 2√3

For more related questions on perpendicular bisector:

https://brainly.com/question/29132624

#SPJ8

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer:

90 minutos

Step-by-step explanation:

una hora es 60 minutos y media es 30 minutos.

Answer:

The amount of safety inventory of cell phones best  buy should carry is $465.277

Step-by-step explanation:

Solution

We recall that:

The weekly demand for cell phones=  300 per week

The Standard Deviation = 200 per week

The lead time or number of weeks = 2 weeks (14 days)

Thus,

Z = 95%

= 1.645

Now,

The standard deviation of lead time = Standard deviation√ *√ lead time

Which is

= 200 * √ (2) =2.82.843

So,

The safety inventory = Z * Standard deviation of the lead time

= 1.645 * 2.82.843

$465.277

The number of the cup of flour that Jed is going to need is he makes use of the 3 butter sticks has been solved to be 7 1/2

We have the following details to solve the problem with

the flour measurement that is used = 1 1/4 = 5/4

The sticks of butter that is used = 1/2

Then 1 stick of butter is going to be used in 5/4 ÷ 1/2

= 5/4 x 2/1

= 10/4

Then the stick of butter that Jed is going to have to need if he makes use of 3 sticks of butter would be

10/4 x 3

= 30/4

= 15/2

= 7 1/2 or 7.5

Read more on unit rate here: https://brainly.com/question/2039129

#SPJ1

Answer:

Equation: 68.50=48+5x Answer: 4gigabytes

Step-by-step explanation:

You have to add the flat cost and the cost per gigabyte together. Then set it equal to her maximum amount and solve.

The equation to calculate the number of gigabytes will be 68.50=48+5x. The number of gigabytes will be 4.1 GB

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that under her cell phone plan, Autumn pays a flat cost of $48 per month and $5 per gigabyte. She wants to keep her bill at $68.50 per month.

The expression can be written as below:

68.50=48+5x

5x = 68.5 - 48

5x = 20.5

x = ( 20.5 / 5 ) = 4.1 Gb

Therefore, the equation to calculate the number of gigabytes will be 68.50=48+5x. The number of gigabytes will be 4.1 GB

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

The "uncertain digit" is the final digit of a measured value whose precise value we are unsure about.

The total number of certain digits in a measurement plus one estimated or uncertain digit make up the significant figures.

Thus, the "uncertain digit" is the final digit of a measured value whose precise value we are unsure about.

To know more about the uncertain digit, here

https://brainly.com/question/1577893

#SPJ4

Answer:6

Step-by-step explanation: I do not have an explanation for you but its 6

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

​for such more question on height

https://brainly.com/question/23377525

#SPJ8

Answer:?????

Step-by-step explanation:

what do u need help with/?//???/???

Answer:

Give me a sec

Step-by-step explanation:

Answer:

542, 543, 544, 545.

Step-by-step explanation:

Divide 2174 by 4 = 543.5  

(because there are 4 integers) 543.5 is not an integer.

However, one of the four integers is 543.

Write down four consecutive numbers that include 543 and add them:  

like 541+542+543+544 =. if that is 2174, you have the answer, if it's too low, try moving up one number, like

542+543+544+545 = if it's still too low, move up one number again  

543+544+545+546=  

You only have to do that a max of 3 times to get the answer.

The four consecutive integers are  

542, 543, 544, 545.

good luck, hope this helps :)

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{3}{2(-1)}~~,~~8-\cfrac{3^2}{4(-1)} \right)\implies \left( \cfrac{3}{2}~~,~~ 8+\cfrac{9}{4}\right)\implies \left( \cfrac{3}{2}~~,~~ \cfrac{41}{4}\right)\)

now, for the solutions, or namely the x-intercepts, we simply set y = 0 and solve for "x", now this one doesn't factor into integers nicely, so we'll need to use the quadratic formula to get them.

\(~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{ - 3 \pm \sqrt { 3^2 -4(-1)(8)}}{2(-1)}\implies x = \cfrac{-3\pm\sqrt{9+32}}{-2}\implies x = \cfrac{3\mp\sqrt{41}}{2}\)

\(x = \begin{cases} \cfrac{3-\sqrt{41}}{2}\\[2em] \cfrac{3+\sqrt{41}}{2} \end{cases}\qquad \leftarrow \qquad na mely\textit{ solutions or zeros or x-intercepts}\)

Answer: \(g(-2)=2a\)

Step-by-step explanation:

\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)

The function g(-2) from the given functions is 2a.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(-2)=a and (f·g)(-2)=2a².

Here, (f·g)(-2)=2a²

f(-2)·g(-2)=2a²

a·g(-2)=2a²

g(-2)=2a²/a

g(-2)=2a

Therefore, the function g(-2) is 2a.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

B)

Given data:

The given lenght is HY= 46 in.

The given center angle is m(YX)=75 degrees.

The length of arc is,

Thus, the length of arc is 60.21 inches.

The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.

To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:

1(1!)+2(2!) +3(3!) +4(4!) +3(3!)

= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)

= 1 + 4 + 18 + 96 + 18

= 137

Therefore, the value of the summation when m = 3 is 137.

To know more about Variables visit:

https://brainly.com/question/2466865

#SPJ1

Answer:

The series is convergent and: ∞∑n=12nn!=e2−1. Explanation: The ratio test states that a sufficient condition for a series: ∞∑n=0an.

Step-by-step explanation:

hope i helped

Answer:

-4 to 0 (both -4 and 0 are included in the range because of the dots)

Answer:

if you cancel out all of the X terms via addition or subtraction, and you get something along the lines of 1= 2, then you have no solution.

11× +4=11×7 subtract 11 X from both sides 4=7 no value for x will satisfy this equation. if you cancel out all the EX terms via addition or subtraction and you get something along the lines of 1 equals 1, then you have infinity solutions.

2(× +1)=2×+2 expand the left side by using distributive property. 2 x+2=2×+2 subtract 2 X from both sides. 2 equals to every value for x will satisfy this equation if you can't cancel out all the X terms of addition or subtraction, you probably have one solution.

Step-by-step explanation:

i hope this helps

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Find more exercises on Interval notation;

https://brainly.com/question/17249352

#SPJ1