At Silver Gym, membership is $45 per month, and personal training sessions are $30 each. At Fit Factor, membership is $75 per month, and personal training sessions are $20 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

The period for which the force acts on the body is  0.6 seconds.

Momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on the particle equals the time rate of change of momentum.

Given the force applied is 4600 N

F = 4600 N

and change in momentum = Δm = 2760 kg m/s

force is given by a change in momentum to the change in time

F = Δm/Δt

Δt = Δm/F

Δt = 2760/4600

Δt = 0.6 seconds

Hence the change in time is 0.6 seconds.

Learn more about momentum;

https://brainly.com/question/24030570

#SPJ1

the term for the given Table is given below:

Mathematics is all about theorems. A rigorous proof is a specific form of logical argument that has been used to demonstrate the truth of a claim, which is what a theorem is.

A. Definition refers to a statement that exactly defines the object, thing, or everything.

B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.

C. Common notion is the statement that helps to understand the common sense of the subject.

D. Theorem is a statement that shows proof on the basis of previously made statements.

E. Corollary is a statement that acts as a small proof that has already been proven.

Therefore, the correct matching for the given terms will be:

Learn more about theorems here:

https://brainly.com/question/30066983

#SPJ1

Complete question:

Explain the main parts and uses of two kinds of proofs. March the word with the right definition.

A. Definition

B. Postulate(axiom)

C. Common notion

D. Theorem

E. Corollary

1. A statement that is assumed to be true without proof

2. A statement that has already been proven to be true

3. A statement that tells exactly what something is or means

4. A statement that makes sense based on another statement that has already been proven

5. A statement that is not officially defined but that is understood to be common sense.

Help pls :3

Therefore , the solution of the given problem of compound statements comes out to be choice D is right.

Like in any language, connectives are used to combine simpler statements to create complex statements in mathematics. And, or, if... then, and if and only if are the connectives that are frequently employed in mathematics. The truth value of the a compound statement is determined by variable the truth values of its simpler parts.

Here,

Given :function

To discover the true values

Which compound statement,

if p →q  is true, will have the same truth value?

The formulation of the logic biconditional link

p ↔ q, which is "p → q and q → p," provides the direct connection to the solution.

As a result, choice D is right.

Therefore , the solution of the given problem of  compound  statements comes out to be choice D is right.

To learn more about compound statements, visit

https://brainly.com/question/16772788

#SPJ1

Answer:

The answer is x = 2. To solve for x, divide both sides of the equation by 8 to get x = 16/8 = 2.

Step-by-step explanation:

Answer:

[tex]8x = 16 \\ x = 16 - 8 \\ x = 8[/tex]

Answer:

Slope-intercept form is

y = mx + b

We want to get the y by itself on one side of the equation.

0 = 18x + 6y – 2

First let's subtract 6y from both sides.

-6y = 18x – 2

Next let's divide both sides by -6.

y = (18 / -6)x - (2 / -6)

y = -3x + 1/3

Step-by-step explanation:

The value of the expression 23.97 x √(0.7124) ÷ 3.877 x 52.18 is 0.1000069342.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

A phrase: 23.97xsquare root of 0.7124 divided by 3.877x52.18.

In numeric form,

23.97 x √(0.7124) ÷ 3.877 x 52.18.

= 0.1000069342.

Therefore, the value is 0.1000069342.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ1

The table which represents a linear relationship that is also proportional is table 1.

There is a linear relationship between y and x when the rate of change of y with respect to x will be equal.

Table 1:

xy

00

42

84

When x = 4

y = kx

2 = k×4

2 = 4k

k = 2/4

k = 0.5

y = kx

y = 0.5x

when x = 8

y = 0.5(8)

y = 4

Table 2:

xy

01

23

45

y = kx

when x = 2

3 = k × 2

3 = 2k

k = 3/2

k = 1.5

when x = 4

y = 1.5x

y = 1.5(4)

y = 6

Therefore, table 1 is proportional and represents a linear relationship with the equation y = 0.5x.

Read more on linear relationship:

https://brainly.com/question/30232521

#SPJ1

Jingle cites a situation in real life -Men make up about 95% of those detained by the police.

99 percent of bricklayers are men.

Men make up 99 percent of soldiers' fatalities.

When you want to know something, it is often apparent and overwhelming. But it's rarely brought up since "women" simply don't engage in those kinds of behaviors. Voluntarily.

Jordan Petersen uses these examples frequently to silence liberals who support equality of all kinds because they don't want to talk about how the equality they claim to want would actually be totalitarian and authoritarian.

Know more about linear inequalities

https://brainly.com/question/29614696

#SPJ4

Answer: y = 5x + 70

Step-by-step explanation:

The projection of vector v on u is =[tex]\=109/\sqrt{113}(2i+10j+3k)[/tex]

Sometimes the inner product and the dot product are considered to be the same. The formal definitions of projection and rejection employ the inner product rather than the dot product whenever they don't coincide. The concepts of projecting a vector onto another and rejecting a vector from another can be applied to the concepts of projecting a vector onto a plane and rejecting a vector from a plane for a three-dimensional inner product space.

A vector's orthogonal projection on a plane is the vector's projection on that plane. A vector is rejected from a plane when it is projected in an orthogonal direction on a straight line. They're both vectors. The first is orthogonal to the plane, while the second is parallel.

we have v=10i+8j+3k and u=2i+10j+3k,

[tex]The\ projection\ v\ on\ w= ((v.u)/|u|)u\\\\the \proj=((20+80+9)/\sqrt{4+100+9})(2i+10j+3k)\\\\=109/\sqrt{113}(2i+10j+3k)[/tex]

learn more about projection.

https://brainly.com/question/29564005

#SPJ4

Using basic arithmetic operations, the missing terms are a)  7/5 and b) 19/14.

There are four basic arithmetic operations which are addition, subtraction, multiplication, and division. These operations can be applied to whole numbers and fractions.

a) 14/16  x  8/7= y x  5/7

In order to solve for y, the numerator and denominator on LHS are simplified and multiplied:

14/16  x  8/7=  7/8  x  8/7 = (7 x 8)/(8 x 7)

As there are same numbers in both numerator and denominator, they are cancelled:

(7 x 8)/(8 x 7)=1

Hence,

1= y x  5/7

Multiply both side by 7/5

7/5  x 1= y x  5/7  x  7/5

y=  7/5

b) 1/2+  4/7= y -2/7

In order to solve for y, add the fraction on LHS:

1/2+  4/7=  ((7 x 1)+(4 x 2))/((2 x 7)) = (7+8)/14=15/14

Hence,

15/14= y -2/7

Add 2/7 to both sides:

15/14+  2/7= y -2/7  +  2/7

y = (15+4)/14=19/14

Note: The question is incomplete. The complete question probably is:  Find the missing terms:

a) 14/16  x  8/7= y x  5/7

b) 1/2+  4/7= y -2/7

Learn more about Basic arithmetic operations:

https://brainly.com/question/4721701

#SPJ4

Answer:

I don't know. I hope this helps!

Step-by-step explanation:

Answer:

Tuna sandwich to likely

chicken sandwich to unlikely

Egg sandwich to impossible

Step-by-step explanation:

there is a lot more tuna than chicken sandwiches so it's likely

there is no egg sandwiches so it's impossible

The limit of f(s) as s approaches 6 does not exist because the function has two different values for s approaching 6 from the left and from the right.

A limit is a concept in mathematics that deals with finding the value that a function approaches as the independent variable approaches a certain value.

We need to consider two different cases, as the function f(s) has different definitions for s less than or equal to 6 and s greater than 6.

For s less than or equal to 6, the function f(s) is defined as

=> 3s - 4.

As s approaches 6, the value of f(s) will approach

=> 3 * 6 - 4 = 14.

For s greater than 6, the function f(s) is defined as

=> 7 - 1/2 * s.

As s approaches 6, the value of f(s) will approach

=> 7 - 1/2 * 6 = 4.

To know more about function here

https://brainly.com/question/28193995

#SPJ4

People who dislike cantaloupe are marginally more likely to be (0.455) likely to be.

The joint relative frequencies in a row or column of a data table are added in this case.

Therefore, we will create a representation of the table using the findings from the survey of 200 randomly selected individuals as follows:

Watermelon The total is not a watermelon

Cantaloupes: 93, 16, and 109

Not a cantaloupe 66 25 91

Total 159 41 200

The marginal relative frequency for those who dislike cantaloupe is therefore 0.455.

The complete complete question is,

How common are those who dislike cantaloupe, on a relative basis? startfraction 91 over 200 endfraction startfraction 25 over 91 endfraction startfraction 66 over 200 endfraction startfraction 91 over 200 endfraction.

To learn more about marginal relative frequency refer to:

brainly.com/question/14101732

#SPJ1

Answer:

7^3

Step-by-step explanation:

since seven is being multiplied by itself 3 times, it is being cubed. So it needs to be raised to the third power.

hope this helps!!! :3

Answer: (-7)(-7)(-7) is equal to -7^3 (just imagine that the three is on the top right outer corner of the 7)

Step-by-step explanation:

A power is when you multiply a number by itself a certain number of times, in this case, we are multiplying the number 7 by itself 3 times. Every time it is multiplied by its self, the power of that number goes up (if you are using a power of one for any number, it will stay the same). Here is an example:

-7 to the first power is just -7.

-7 to the second power, or squared is just (-7)(-7) or (-7) x (-7).

-7 to the third power, or cubed, is just (-7)(-7)(-7) or (-7) x (-7) x (-7).

Hope this helps!!!

Answer:

Step-by-step explanation:

-2/11

Answer:

-1/5 × 10/11 = -2/11

Step-by-step explanation:

If you multiply -1/5 by 10/11, it becomes the fraction -2/11 or 0.1818...

Answer:

The seismic coefficient represents the maximum horizontal equivalent acceleration expected in a failure wedge in slip potential and is obtained by averaging the horizontal forces in the deformable sliding mass, according to the equation: kmax=¯ah.

It is calculated by dividing the maximum acceleration response of a building by the peak ground acceleration of the underlying seismic hazard.

To calculate the seismic response coefficient, the following steps should be followed:

1. Identify the seismic hazard in the area. This can be done by consulting geological surveys and geological maps.

2. Calculate the peak ground acceleration of the seismic hazard. This can be done using the various seismic hazard assessment techniques such as the probabilistic seismic hazard analysis (PSHA) method.

3. Determine the maximum acceleration response of the building. This can be done by performing a dynamic analysis of the building using a computer simulation program or a hand calculation.

4. Divide the maximum acceleration response of the building by the peak ground acceleration of the seismic hazard to obtain the seismic response coefficient.

Learn more about maximum here

https://brainly.com/question/29156925

#SPJ4

Answer: 324/4

Step-by-step explanation:

I know i'm doing this totally wrong I don't know.

Answer:

The function y = 5 + 2x represents a linear function.

A perpendicular bisector is a line that intersects a given line segment at a 90°.

 A perpendicular bisector is a line segment, ray, or line that goes through the middle of a given line segment and crosses it at a 90° angle.

A line, ray, or line segment is a perpendicular bisector if it divides another line segment in half proportionately and makes a right angle (90o) with it at its halfway.

In other words, the perpendicular bisector serves as both a perpendicular line to the line segment and a bisector, cutting it in half.

The intersection of the perpendicular bisector with the line segment represents its midpoint.

To learn more about angles.

https://brainly.com/question/28451077

#SPJ4

The area of the base of the pyramid is 35/4 m².

The volume of the pyramid is 14 m³.

A pyramid is a three-dimensional geometric shape that has a base and triangular sides that meet at a common point, called the apex.

The formula for the area of the base of the pyramid is given as:

A = 1/2 bh

where b and h are the base and height of the triangle at the base of the pyramid.

Given b = 7/3 meters and h = 15/2 meters

A = 1/2 * 7/3 * 15/2

A = 35/4 m²

That is B = 35/4 m²

The formula for the volume of the pyramid is given as:

V = 1/3 Bh

where h is the height of the pyramid and h = 24/5 meters

V = 1/3* 35/4 * 24/5

V = 14 m³

Learn more about pyramid on:

brainly.com/question/18994842

#SPJ1

The possible values of two consecutive even integers, of which the sum of their squares is 1684, are 28 and 30 for positive integers, while for negative integers, they are  -28 and -30.

The difference between two consecutive even integers is 2.

Let the integers be a and (a+2). Then,

a² + (a + 2)² = 1684

a² + a² + 4a + 4 = 1684

2a² + 4a - 1680 = 0

a² + 2a -840 = 0

Hence, we get a quadratic equation.

There are three methods of solving a quadratic equations: by factoring, completing the square, and by using the abc formula.

Use the factoring method:

a² + 2a -840 = (a - 28) (a + 30)

a = 28  and a = -30

Hence, if the integers are positive, they are: 28 and 30.

If the integers are negative, they are -28 and -30.

Learn more about quadratic equation here:

https://brainly.com/question/30164833

#SPJ4

Answer:

Vipul answered correctly.

The nature of the roots of a quadratic equation depends on the value of the discriminant, which is given by b^2 - 4ac, where a, b, and c are coefficients in the equation ax^2 + bx + c = 0. If the discriminant is positive, the roots of the equation will be real and distinct, and their sign will depend on the sign of the coefficients a, b, and c. If p, q, and r are positive, the value of the discriminant (q^2 - 4pr) will be positive, and the roots of the equation px^2 + qx + r = 0 will be real and distinct, but their sign cannot be determined just based on the values of p, q, and r alone.

Answer:

E. - 11

Step-by-step explanation:

This is by the simple quantum physics moving by the gravitational carbon dioxide in the air that causes the numbers to evolve into the number 11 while mixed together

The correct 2-variable equation that models how many feet Nick can run is: 25x = m,

Hence, option (d) is correct choice.

As per the data given,

We have,

Nick can run at a speed of 25 feet per second.

We need to convert the above statement in 2-variable equation models

We can write it as:

Distance covered by Nick will be:

25x = m

where x is the time in seconds that Nick runs and

m is the distance in feet that Nick runs.

The equation represents the relationship between time and distance using the constant speed of 25 feet per second.

The distance travelled is equal to the speed multiplied by the time.

For more questions on 2-variable equation models

https://brainly.com/question/10061839

#SPJ4

Answer:

1494

Step-by-step explanation:

15%($2,870+$3,150+$3,940) =1494

Given that point T is the center of dilation, we know that the length of line segments TX' and TY' are proportional to the length of line segments TX and TY, respectively.

We can express this as:

TX' = k * TX

TY' = k * TY

where k is the scale factor.

We are given the lengths of TX' and TY':

TX' = 6

TY' = 9

So, we can solve for k:

9 / k = 6

k = 9 / 6 = 3 / 2

Now that we know the value of k, we can find TY:

TY = TY' / k = 9 / (3 / 2) = 6 * (3 / 2) = 9

Next, we are given the length of XX':

XX' = 2

And using the dilation formula, we can find XX:

XX = XX' / k = 2 / (3 / 2) = 2 * (2 / 3)

Finally, we can find TX by using the Pythagorean theorem:

TX^2 = TY^2 + XX^2

TX^2 = 9^2 + (2 * (2 / 3))^2

TX^2 = 81 + (4 / 3)^2

TX^2 = 81 + 16 / 9

TX^2 = 81 + 16 / 9

TX = √(81 + 16 / 9) = √(81 + 16 * 9 / 9) = √(81 + 16) = √97

So, TY = 9 and TX = √97. Therefore, YT = TY - TY' = 9 - 9 = 0.

To learn more about center of dilation please click on below link.

https://brainly.com/question/13173812

#SPJ4

TX' = k * TX

TY' = k * TY

TX' = 6

TY' = 9

So, we can solve for k:

9 / k = 6

k = 9 / 6 = 3 / 2

Now that we know the value of k, we can find TY:

TY = TY' / k = 9 / (3 / 2) = 6 * (3 / 2) = 9

XX' = 2

XX = XX' / k = 2 / (3 / 2) = 2 * (2 / 3)

TX^2 = TY^2 + XX^2

TX^2 = 9^2 + (2 * (2 / 3))^2

TX^2 = 81 + (4 / 3)^2

TX^2 = 81 + 16 / 9

TX^2 = 81 + 16 / 9

TX = √(81 + 16 / 9) = √(81 + 16 * 9 / 9) = √(81 + 16) = √97

So, TY = 9 and TX = √97. Therefore, YT = TY - TY' = 9 - 9 = 0.

The solution is Option C.

The inverse of the function is f⁻¹ ( x ) = ( x + 5 )² and the domain is x ≥ 0

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is given as

f ( x ) = √x - 5   be equation (1)

On simplifying the equation , we get

y = √x - 5

To calculate the inverse of the function , solve for x , we get

Adding 5 on both sides of the equation , we get

√x = y + 5

Taking the square on both side of the equation , we get

x = ( y + 5 )²

Substitute the value of x = f⁻¹ ( x ) and y = x , we get

f⁻¹ ( x ) = ( x + 5 )²

And , the domain of the function is [ 0 , ∝ ]

Hence , the function is f⁻¹ ( x ) = ( x + 5 )²

To learn more about domain and range click :

https://brainly.com/question/28135761

#SPJ1

Answer:

15 percent

Step-by-step explanation:

There are total 40 students in class because 6 plus 12 plus 14 plus 20 is 40. Fraction would be 6/40

Answer:

x = 67.5 degrees

Step-by-step explanation:

this is an octagon which has 8 sides

the sum of all interior angles can be found by taking the number of sides, reducing it by 2, and then multiplying by 180

(8-2)*180 = 6(180) = 1080

the 1080° must be split equally among all 8 angles because it is a 'regular' polygon

1080/8 = 135

however, 'x' represents half of each regular angle so it is 67.5 degrees