Rodrigo just became a personal trainer and is finalizing his pricing plans. For one plan, Rodrigo charges $39 for the initial consultation and then $42 per session. For another plan, he charges $54 for the consultation and $39 per session. Rodrigo realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?

Answer:

64

Step-by-step explanation:

23

41

____

 6 4

The positive value of the distance between the two objects

is  [tex]r = + \sqrt\frac{GM_1M_2}{F_g}[/tex]

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Considering the equation for determining the gravitational pull between two items [tex]F_g = \frac{GM_1M_2}{r^2}[/tex], where r is the distance between the objects M is the individual masses and G is the gravitational constant.

The answer to the r in the problem has two values. Since distance cannot be negative, there can only be one positive value, hence we want the positive value.

[tex]F_g = \frac{GM_1M_2}{r^2}[/tex]

[tex]r^2 = \frac{GM_1M_2}{F_g}[/tex].

[tex]r = \pm\sqrt\frac{GM_1M_2}{F_g}[/tex]

[tex]r = +\sqrt\frac{GM_1M_2}{F_g}[/tex].

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Answer: 5 is a factor of 15.

15 is a multiple of 3.

Step-by-step explanation:

A Factor, is a number that can divide another number without a remainder. For example, 5 is a factor of 15 ad it can divide 15 evenly.

A multiple is simply a times table. For example, the multiples of 3 are 3, 6, 9, 12, 15, 18, 21 ......

Therefore, the correct option from the answers given are:

5 is a factor of 15.

15 is a multiple of 3.

Answer:

C

Step-by-step explanation:

I'm pretty sure it's census

Answer:

d=i√7, -i√7

Step-by-step explanation:

-2d^2 -4=10     add 4 to both sides

-2d^2 = 14        divide each term by -2

d^2= -7              take the square root of each side to get rid of the exponent

d= = √-7           ( put a slash(short line above that = sign ) in the second equal sign)

d = =i√7

Answer:

v = -4.

Step-by-step explanation:

Replace the u in the equation by 1, so we have:

12*1 + 3v = 0

3v = -12

v = -1/3 = -4.

Answer:

when pi = 3.14, A = 63.535

when pi = pi, A = 63.61725

Step-by-step explanation:

Area of a circle = pi × radius (4.5) squared (^2)

Answer:

Serena paid $194.99 for a game system and then bought two equally-priced games. She spent a total of $284.97.

Step-by-step explanation:

The probability that the product will last for at least 1 wee and at most 2 week is 0.30.

This independent transmission of characteristics phenomenon can be explained by the product rule of probability. It claims that multiplying the odds of each event occurring alone will yield the probability of two independent events occurring together.

P(E F) = P(E) P(F) is the product rule, where E and F are independent events. Explain that independence means that the likelihood of one event occurring has no bearing on the likelihood of the other.

The probability that the product will last for at least 1 wee and at most 2 week is 0.30.

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Therefore , the solution of the given problem of algorithm comes out to be halting problem is unsolvable.

An algorithm is a process for carrying out a computation or resolving a challenge. Algorithms work as a detailed set of guidelines that lead hardware- or software-based routines through a series of predetermined actions step by step. Algorithms are frequently used in all areas of IT.

Here,

The halting problem, which claims that no program can be created that can anticipate whether or not any other program will halt after a finite number of steps, is an intractable algorithmic challenge.

The inability to solve the stopping problem directly affects software development.

Therefore , the solution of the given problem of algorithm comes out to be halting problem is unsolvable.

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Table A is a function.

Table B is not a function.

Table C is a function.

Table D is not a function.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

We know a relation is a function if it is one-to-one or many-to-one.

But a relation is not a function if it is one to many.

Table A is a function and it is a many-to-one function.

Table B is not a function as input 1 leads to two different outputs 1, - 1.

Table C is a function and it is a one-to-many function.

Table D is not a function as one input leads to 3 different outputs.

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Spiders are arachnids with eight legs, as do all arachnids. Spiders differ from insects in that they have only six legs.

Crabs and prawns are also members of the phylum Arthropoda, which includes spiders. Spiders walk on eight legs, but they also have two additional legs that they utilise as hands. The front legs are called pedipalps, or palps for short.

Proteins are secreted by glands on spiders, which aid in the formation of the web. For a number of objectives, including prey capture, prey detection, tunnel lining, egg sacs, and prey wrapping, spiders can create a variety of webs or silks.

Spiders are venomous carnivores who hunt their prey with poison.In Everglades National Park, arachnids such as spiders, scorpions, mites, ticks, whip scorpions, and pseudoscorpions are all common.

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Answer:

X = 21

Step-by-step explanation:

We know that's 90 degrees in total so we add both angles and equal them to 90 to solve for x

x + 4 + 3x + 2 = 90          Combine like terms

4x + 6 = 90

      - 6    -6                        subtract 6

4x = 84

/4      /4                       isolate x

x = 21

3 tenths and 24 hundredths, after regrouping gives 0.54

In math, regrouping can be defined as the process of making groups of tens when carrying out operations like addition and subtraction with two-digit numbers or larger. To regroup means to rearrange groups in place value to carry out an operation. We use regrouping in subtraction, when digits in the minuend are smaller than the digits in the same place in the subtrahend.

Given here, 3 tenths and 24 hundredths after  regrouping we get

(3 tenths + 24 hundreths) = 0.54

Hence, 3 tenths and 24 hundredths after regrouping gives 0.54

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Answer:

Minimum, Q1, median, Q3, maximum

Step-by-step explanation:

The five number summary include :

Minimum valuewhich is the least value in the dataset

The first quartile which represents the lower 25% of the distribution

The median, marks up to 50% of the distribution

The Upper quartile, Q3, represents up to 75% of the distribution

The maximum value is the greatest Or largest number in the distribution.

Hence, arranging in order of least to greatest, well have ;

Minimum, Q1, median, Q3, maximum

Answer: 4 cm

EF is 20 cm and BC is 5. Take 20 divided by 5 and you get 4. This is the amount of how much the shape enlarged. For AC, take 16 divided by 4 and you get 4.

Hope it helps.

Answer and Step-by-step explanation:

We can use two methods to find the length of AC.

First method is the Pythagorean Theorem method.

The Pythagorean Theorem Formula is:

[tex]a^2 + b^2 = c^2[/tex]

Where:

a and b = are sides of a triangle

c = the hypotenuse

Plug in the values:

[tex]3^2 + (AC)^2 = 5^2\\\\\\\\9 + (AC)^2 = 25\\\\\\\(AC)^2 = 16\\\\\\AC = 4[/tex]

That means the length of side AC is equal to 4.

Background knowledge also tells us that this is a 3 4 5 triangle, because we have a 5 as the hypotenuse and a 3 for one of the sides.

Second method involving Similarity

We are told that the triangles are similar, which means that one of the triangle id a dilated version of the other, and vise versa.

We can find out the scale factor for these triangles by dividing the corresponding side lengths (which we will be using the hypotenuses).

20 divided by 5 = 4

If we divide the corresponding side of AC by 4, it will result in our answer.

16 divided by 4 = 4.

So, AC = 4

#teamtrees #PAW (Plant And Water)

The simplest form is 15z+ 15x²

In algebra, a triangle-shaped grouping of integers known as Pascal's triangle provides the coefficients for the expansion of any binomial formula, such as (x + y)n. Although it is much older, it bears the name of the French mathematician Blaise Pascal from the 17th century.

Because it has so many patterns that can be used to greatly simplify complex calculations, Pascal's triangle is significant.

Given,

(5z+5 x²)3

15z+15x² by simplifying,

3(5z+5 x²)

apply the distributive formula :a (b + c) =ab + ac

3(5z+5 x²) = 5x+3 * 5x²

By simplifying 3 5z+3 , 5x², 15z+15x²

we get

15z+ 15x²

Therefore the simplest form is 15z+ 15x² .

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Answer:

I have no idea tbh I need help with this too

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!

Answer: The second option is right

Answer:g

Step-by-step explanation:

g

Answer:

C. 250 miles

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

mark as brailest!!

If there are [tex]2\pi[/tex] radians and [tex]360 \textdegree[/tex] in one full rotation and an angle has a measure of [tex]2.1 radians[/tex] then the angle is 33.4 percent of a full rotation , and the measure of the angle in degrees is [tex]120.2\textdegree[/tex] .

we know that in 1 full rotation , the radians is 2π ;

and in 1 full rotation , the degree is 360 degree ;

We know that the relation between the degree and the radian measure is

⇒ [tex]1 radian = \frac{180\textdegree}{\pi }[/tex] ;

Part(i) ;

we have to express the 2.1 radians as a percent of full rotation ;

we get ; ⇒ [tex]\frac{2.1}{2\pi } \times 100\%[/tex]

on simplifying further ,

we get ; [tex]\approx 33.4\%[/tex] .

Part(ii)  ;

we have to determine the measure of the angle in degrees.

from part(i) , we find the percent is [tex]33.4\%[/tex] ,

So , [tex]33.4\%\times 360\textdegree[/tex]

On simplifying ,

⇒ [tex]\frac{33.4}{100} \times 360\textdegree[/tex]

[tex]\approx 120.2\textdegree[/tex] .

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Answer:

1.524×10^7

Step-by-step explanation:

move the "comma" from the back till you get a number less than 10, the 7 is how many times you've  moved the comma

Answer:

6

Step-by-step explanation:

Answer:

22.8% ≈ 23%

Step-by-step explanation:

Since we don't know the number apples, I just turned the percentages into decimals

30% = 0.3

24% = 0.24

1.00 - 0.24 = 0.76 *Since 24% of green apples are damaged, then 76% are not damaged*

0.3 x 0.76 = 0.228 = 22.8% ≈ 23%

Answer:

see explanation

Step-by-step explanation:

given the equation

a = [tex]\frac{k}{b}[/tex]

to find k use the given condition a = 8 when b = 6 , then

8 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 to clear the fraction )

48 = k

a = [tex]\frac{48}{b}[/tex] ← equation of variation

2

if b = 3

a = [tex]\frac{48}{3}[/tex] = 16

3

if b = 4

a = [tex]\frac{48}{4}[/tex] = 12

4

if b = 12

a = [tex]\frac{48}{12}[/tex] = 4

5

if b = 1.5

a = [tex]\frac{48}{1.5}[/tex] = 32

6

if b = 3.6

a = [tex]\frac{48}{3.6}[/tex] = 13.3333.. = 13 [tex]\frac{1}{3}[/tex]

7

if b = 4.8

a = [tex]\frac{48}{4.8}[/tex] = 10

for the remaining questions, rearrange the equation with b as the subject

a = [tex]\frac{48}{b}[/tex] ( multiply both sides by b )

ab = 48 ( divide both sides by a )

b = [tex]\frac{48}{a}[/tex]

8

if a = 3

b = [tex]\frac{48}{3}[/tex] = 12

9

if a = 4

b = [tex]\frac{48}{4}[/tex] = 12

10

if a = 4.5

b = [tex]\frac{48}{4.5}[/tex] = 10.666... = 10 [tex]\frac{2}{3}[/tex]

11

if a = 4.8

b = [tex]\frac{48}{4.8}[/tex] = 10

12

if a = 3.6

b = [tex]\frac{48}{3.6}[/tex] = 13.333... = 13 [tex]\frac{1}{3}[/tex]

13

if a = 6

b = [tex]\frac{48}{6}[/tex] = 8

The coefficient of x² in 2 x² x³ is 2 n with number.

2 x² x³

= 2 x² (x³)

= 2 x² (x  x  x)

= 2 x² x  x  x

The coefficient of x² is 2.The expression 2 x² x³ can be written as 2 x² (x³). This can be further simplified to 2 x² (x  x  x). The coefficient of x² is 2, which means that the coefficient of x² in 2 x² x³ is 2. The coefficient of a term is the numerical factor of the term, or the number that is multiplied with the term. In this case, the coefficient of x² is 2, as it is the number multiplied with x².

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Answer:

Here we have the position of an object represented by the equation:

y = 4*sin(3*x) + 4

Where we can assume that y represents the height of the object.

We want to find the maximum height of the object, and for which value of x it happens in the interval 0 ≤ x ≤ 5

First let's find the maximum height.

y = 4*sin(3*x) + 4

Here the only variation is on the sin( ) part, we know that the maximum value of the sin(x) function is:

sin(x) = 1

when x = 90° = pi/2 = 3.14/2

Replacing that in the equation, we get:

y = 4*1 + 4 = 8

The maximum height of the object is 8.

Now, we know that the maximum of the sin(x) function is when x = pi/2

But in our case, we have the function sin(3*x)

Then this function is maximized when:

3*x = pi/2

x = pi/(2*3) = pi/6 = 3.14/6

And:

0 < 3.14/6 < 5

Then the first maximum occurs at x = 3.14/6 = 0.52

But it can happen again on the interval.

The next maximum of the sin(x) function is when:

x = pi/2 + 2*pi

In our case, we again have sin(3*x), then we need to solve:

3*x = pi/2 + 2*pi

x = (pi/2 + 2*pi)/3 = (3.14/2 + 2*3.14)/3 = 2.62

This is also in the interval 0 < x < 5

The next maximum of sin(x) happens at:

x = pi/2 + 2*pi + 2*pi

In our case, for sin(3*x) we need to have:

3*x = (pi/2 + 2*pi + 2*pi)

x = (3.14/2 + 2*3.14 + 2*3.14)/2 = 4.71

This again is in the interval 0 < x < 5

(is closer to the upper value, so we can expect that the next maximum does not belong to the interval)

Then the maximum height occurs at:

x = 0.52

Then occurs again at:

x = 2.62

And finally occurs again at:

x = 4.71

Answer:

m<BCD=60

Step-by-step explanation:

4x+6=7x-12

3x=18

x=6

4(6)+6

24+6

30

30+30=60

======================================================

Reason:

Use the HL (hypotenuse leg) theorem to prove that triangle BCF is congruent to triangle DCF.

It then leads to the fact that angle BCF is congruent to angle DCF.

Set those angle expressions equal to one another. Solve for x.

angle BCF = angle DCF

4x+6 = 7x-12

4x-7x = -12-6

-3x = -18

x = -18/(-3)

x = 6

Then,

Both angles are the same measure to confirm the correct x value.

Lastly, add up those angles to get angle BCD.

30+30 = 60 degrees is the final answer.

The number of pounds each package would have to weigh for the total cost of shipping the packages to be the same will be 7.50 pounds.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The cost to transport an item varies between two shipping providers. The price charged by Company A is $6.50 plus $0.35 per pound. Charges from Company B are $7.25 plus $0.25 per pound.

Let 'p' be the number of pounds and 'T' be the total cost of shipping. Then the equations are given as,

T = 0.35p + 6.50

T = 0.25p + 7.25

If the total cost of shipping the packages is to be the same. Then the number of pounds is given as,

0.35p + 6.50 = 0.25p + 7.25

0.35p - 0.25p = 7.25 - 6.50

0.10p = 0.75

p = 7.50 pounds

The number of pounds each package would have to weigh for the total cost of shipping the packages to be the same will be 7.50 pounds.

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