Matilda earns $16 for every 2 cars she washes.
How many cars does she have to wash to earn $56?

The sum of the infinite series is a finite number, we can conclude that the given geometric series is convergent. The answer is thus, the geometric series is convergent.

To determine whether the given geometric series is convergent or divergent, we need to calculate the common ratio (r) first. The formula for the nth term of a geometric series is a*r^(n-1), where a is the first term and r is the common ratio.

In this case, the first term is 20(0.64)^0 = 20, and the common ratio is (0.64^n-1) / (0.64^n-2). Simplifying this expression, we get r = 0.64.

Now, we can apply the formula for the sum of an infinite geometric series, which is S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio.

Substituting the values we have, we get S = 20 / (1 - 0.64) = 55.56.

Since the sum of the infinite series is a finite number, we can conclude that the given geometric series is convergent. The answer is thus, the geometric series is convergent.

Learn more on geometric series here:

https://brainly.com/question/4617980

#SPJ11

From the given options, option B is the only statement that is not true is ∠C ≅ ∠E.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

If Δ ABC is congruent to Δ DEF, then its corresponding parts must be congruent.

segment AB ≅ segment DE

segment BC ≅ segment EF

segment AC ≅ segment DF

∠A ≅ ∠D

∠B ≅ ∠E

∠C ≅ ∠F

Therefore, from the given options, option B is the only statement that is not true is ∠C ≅ ∠E.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

If triangle ABC is congruent to triangle DEF, which statement is not true?

A) Segment AB ≅ segment DE

B) ∠C ≅ ∠E

C) Segment BC ≅ segment EF

D) ∠A ≅ ∠D

Answer:

a = 40π

Step-by-step explanation:

a = (∅/360) * πr²

a = (144/360) * π(10)²

a = 40π

Kenny claims that the figure formed by the given pairs of points is symmetric about a line where y is always 4. To determine if the figure is truly symmetrical, we need to analyze the coordinates of the points and check if they exhibit symmetry with respect to the line y = 4.

To determine if the figure is symmetrical about the line y = 4, we need to check if the corresponding points on opposite sides of the line have the same distance from the line. If they do, then the figure is symmetric.

For example, let's say one of the plotted points is (x, y) = (2, 4). If the figure is symmetric, there should be another point on the opposite side of the line y = 4 that is equidistant from the line. However, since y is always 4 according to Kenny's rule, all the points will lie on the line y = 4. Therefore, there won't be any points on the opposite side of the line to exhibit symmetry.

Based on this reasoning, we can conclude that Kenny's figure is not symmetrical about the line y = 4 because all the points lie on the line itself and do not have corresponding points on the opposite side.

To learn more about symmetric  click here :

brainly.com/question/31184447

#SPJ11

The number of total selections that can be made is 1184040 i.e., option e is correct.

The number of different combinations of x objects from a set of n elements is given by the formula mentioned below:

\(C_{n,x}\) = \(\frac{n!}{x!(n-x)!}\)

This formula is used when the order in which the elements are chosen does not matter.

As per the question we know that seven tablets are chosen from a set of 28 tablets, hence the number of selections that can be made is given by:

\(C_{28,7}\) = \(\frac{28!}{7!(28-7)!}\)

\(C_{28,7}\) = ( 28 × 27 ×26 × 25 × 24 × 23 × 22 × 21! ) / ( 7! × 21!)

\(C_{28,7}\) = ( 28 × 27 ×26 × 25 × 24 × 23 × 22 ) / ( 7 × 6 × 5 × 4 × 3 × 2 × 1 )

\(C_{28,7}\) = 1184040

Thus, we can conclude that  total selections that can be made is 1184040.

To know more about Combination refer to the link:

https://brainly.com/question/11732255

#SPJ4

Using combination formula and analyzing the cases provided, The answer is 120,225 and 30.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

The required formula is:

\(C(n,r) = \frac {n!}{r!(n-r)!}\)

number of digits that can be asserted in a position = 10 (0-9)

places to be filled = 3

If it do not contain the same digits three times, The number of strings of three decimal digits = C(10,3)

=\(\frac {10!}{3!*(10-3)!}\)

=120.

If it begin with odd numbers, The numbers that can be filled at the start=5

for last two places = C(10,2)

=\(\frac {10!}{2! * (10-2)!}\)

=45

Total number of strings=5*45 = 225

If it have two digits 4s, The number of possible cases of having two 4s= 3

For a remaining spot= C(10,1)

=\(\frac {10!}{1!(10-1)!}\)

=10

Total number of strings = 3*10=30

To learn more about combination visit:

https://brainly.com/question/20211959

#SPJ4

Answer:

False

Step-by-step explanation:

This statement is false.

The set of whole numbers include the set of Natural numbers "N" = {1, 2, 3, 4, 5, 6, ...}, the set of the negatives of the natural numbers: {-1, -2, -3, -4,...}, and the zero: {0}

We see then that the set of Natural numbers is a subset of the set of whole numbers Z = {... -4,-3,-2,-1, 0,1, 2, 3, 4, 5, ...}

Answer:

false

brainliest to me!

Step-by-step explanation:

0 is a whole number but not a natural number so its false!

The Equation of a Straigth Line has the form:

where m is the slope and b the intersection with the vertical axis (y-axis).

As we can see based on the graph, b = 0, and m can be calculated as follows:

To use the latter, we have to choose two points from the graph. For example, assuming that each square from the graph represents one unit:

• (0,0)

• (-2,1)

Replacing these coordinates:

Answer:

The two numbers that satisfy both equations are r = 2.125 and s = -12.

The two numbers can be represented as variables, let's say "r" and "s." We have two equations to solve for these variables:

8r + (1/4)s = 11

4r + (1/8)s = 7

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of elimination to eliminate the variable "s."

We can multiply the first equation by 2 to eliminate the fractions:

16r + (1/2)s = 22

Now we can subtract the second equation from this new equation:

16r + (1/2)s - (4r + (1/8)s) = 22 - 7

12r + (7/8)s = 15

Multiplying the second equation by 8 to eliminate the fractions:

32r + s = 56

Now we have a new system of equations:

12r + (7/8)s = 15

32r + s = 56

We can solve this system using various methods like substitution or elimination. Let's solve it using the substitution method.

From the second equation, we can express s in terms of r as s = 56 - 32r. Substituting this value in the first equation, we have:

12r + (7/8)(56 - 32r) = 15

Simplifying the equation, we get:

12r + 49 - 28r = 15

-16r = -34

r = 2.125

Now, substituting the value of r back into the equation s = 56 - 32r, we get:

s = 56 - 32(2.125)

s = 56 - 68

s = -12

Learn more about method of elimination:

https://brainly.com/question/13877817

#SPJ11

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

know more about substitution method

https://brainly.com/question/22340165

#SPJ11

Answer:

The total cost of the game is $50

Step-by-step explanation:

I'm so sorry, for some reason I can't figure out how to explain this. This is my best attempt (again sorry)

1/5th = $10

2/5th = $20

3/5th = $30

4/5th = $40

5/5th = $50

p = The doctor prescribed medicine

q = The patient has recovered

The doctor did not prescribe medicine:

The patient recovered:

The truth table is given by:

Answer:

A

Step-by-step explanation:

what is this supposed to mean, I'm not sure so I just plugged it in.

y= 2x - 8 plug in x and y whish is -2= 2(4) - 8

do 2(4) -8

equals 0

so the point (4, -2) does not belong to the equation y = 2x - 8

Answer:

Step-by-step explanation:

if you plug in the numbers in symbolab you get -2=0 and the sides are not equal. Just plug in for Y -2 and for X 4

Answer:

x=40

Step-by-step explanation:

x= 360-(273+47)

Line x is perpendicular to line y. Line z crosses lines x and y. Only statements 3 and 4 are true.

∠6 = ∠8 is not true because they both lie on the same plane and makes an angle of 180° and can never be true. ∠6 = ∠1 is also not true because ∠1 is clearly obtuse angle and ∠6 is clearly acute angle so they cannot be equal. Hence, statement a and b are false.

∠7 = ∠3 is always true because they are corresponding angles and corresponding angles are always equal. m∠2 + m∠4 = 180° is also true because they lie on same plane and have common vertex and hence, they are supplementary angles and make a sum of 180°.  Hence, statement 3 and 4 is always true.

To know more about corresponding angles:

https://brainly.com/question/12521848

#SPJ1

There are 12 combination ways to draw two cards of the same color from the shuffled deck, since there are 6 pairs of cards of the same color to choose from.

1. There are a total of 12 cards with 3 cards of each color (red, blue, yellow, and green).

2. To draw two cards of the same color, you must choose one of the six pairs of cards of the same color, which can be done in 6 ways.

3. Therefore, there are 6 x 1 = 6 possible ways to draw two cards of the same color from the shuffled deck.

If you draw three cards combination instead of two, there are still 6 ways to draw cards of the same color, since you must still choose one of the six pairs of cards of the same color. This can be done in 6 x 1 x 1 = 6 ways.

Learn more about combination here

https://brainly.com/question/28720645

#SPJ4

If Miranda purchased a coat for $101.50 that was regularly priced at $145, not including tax then the percentage Miranda saved by purchasing the coat on sale is equal to 30%.

Percentage in mathematics can be described as a number expressed as a fraction of 100. The symbol % is used to indicate a percent.

The percentage Miranda saved by purchasing the coat on sale can be calculated as follows,

First, subtract the regular price from the price at which she purchased

145 - 101.50 = 43.5

Now, divide this number by the regular price of the coat,

43.5 ÷ 145 = 0.3

Now, the percentage Miranda saved can be calculated by multiplying the result by 100,

0.3 × 100 = 30%

Hence, the percentage Miranda saved by purchasing the coat on sale is calculated to be 30%.

To learn more about percentages, click here:

https://brainly.com/question/24304697

#SPJ4

Based on the percentage of people who actually voted and the margin of error, the data implies that people lied when responding to the survey.

The evidence that people lied about voting would bet be shown by the confidence interval. If the confidence interval of the survey does not have the actual percentage of people who voted in it, then people lied.

The confidence interval is:

= Average ± Margin of error

Solving:

= 70% + 3%

= 73%

= 70% - 3%

= 67%

Confidence interval is:

67% - 73%

The actual percentage of 61% who voted is not in this interval which means that some people lied about voting in the survey.

Find out more on the margin of error at https://brainly.com/question/10218601

#SPJ1

Answer:

16x = 2

4x = 8

8x = 4

24x = 4

Step-by-step explanation:

So you basically multiply 4 by 8 which gives you 32

also since we have alternate interior which is congruent/equal, then we have to make sure that 16x and 4x have the same number. that's why 16x will be 2, because 4x8 is 32 while 16x2 is 32

this one though is same side interior, which is not equal, so the numbers dont have to match.

to find 8x, you multiply 8 with 4 which gives you 32, and lastly 24 x 4 = 96

hope this helps

Answer:

yes

Step-by-step explanation:

by giving us a question and letting us answer it

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

Learn more about interval here: brainly.com/question/29466566

#SPJ11

The integral to find the volume V is then:

V = ∫[0 to L] 144 dx

What is volume of the solid?

The volume of a solid is a measure of how much area of ​​space an object occupies. It is measured by the number of unit cubes needed to fill the body. It is decided by counting the unit cubes in the solid.

To find the volume of a solid, we need to consider parallel cross-sections perpendicular to the x-axis. Since these cross-sections are square, each square cross-section will have the same area throughout the body.

Consider a representative square cross-section at a given x-coordinate. The length of each side of this square will be equal to the diameter of the corresponding circular disc at this x-coordinate. Since the radius of a circular disk is given as 6, the diameter will be twice the radius, which is 12.

Therefore, the area of ​​a square cross-section at any coordinate is x (12)^2 = 144 square units.

To find the volume of a body, we must integrate the areas of all these square cross-sections over the range of values ​​of x that the body occupies. Since no specific range is mentioned in the information provided, I will assume that the body extends from x = 0 to x = L, where L is the length of the body along the x-axis.

The integral to find the volume V is then:

V = ∫[0 to L] 144 dx

Note: dx represents an infinitesimal change in x.

Note that this integral is just a setup and the actual evaluation of the integral is not required in the question.

To learn more about volume of solid from the given link

https://brainly.com/question/29246646

#SPJ4

the domain of the given function is \(\( [1,2] \)\) and its derivative is zero everywhere.

Domain of the function \(\( g(x) \)\) and calculation of\(\( g^{\prime}(x) \)\)

Let's first calculate the integral in the given function

\(\[ g(x)=\int_{1}^{2} \frac{8}{t^{2}+2 t} d t \]\)

The integrand \(\(\frac{8}{t^{2}+2 t}\)\)can be simplified as

\(\[ \frac{8}{t^{2}+2 t} = 8\cdot\frac{1}{t(t+2)}\]\)

Now, for integration of this expression, we write it in terms of partial fraction as,

\(\[\frac{1}{t(t+2)} = \frac{A}{t} + \frac{B}{t+2} = \frac{(A+B)t + 2A}{t(t+2)} \]\)

On comparing numerator of both sides, we get,

\(\[(A+B) = 0\] and \[2A = 1\] \[\implies A = \frac{1}{2} , \text{ and } B = -\frac{1}{2} \]\)

Therefore, the integral in the given function becomes,

\(\[g(x) = \int_{1}^{2} \frac{8}{t^{2}+2 t} d t = 8\int_{1}^{2} \left(\frac{1}{t}-\frac{1}{t+2}\right) dt\]\[= 8\left[\ln|t| - \ln|t+2|\right]_{1}^{2} = 8\ln\left|\frac{2}{3}\right|\]\)

Thus, the domain of

\(\( g(x) \) is \( [1,2] \) and \( g(x) \)\)

is a constant function with value \(\[ g(x) = 8\ln\left|\frac{2}{3}\right|\]\)for all \(\(x\\)) in its domain.

Calculation of \(\( g^{\prime}(x) \)\) :

As the function \(\( g(x) \)\) is a constant function, its derivative is zero everywhere.

Therefore,\(\[ g^{\prime}(x) = 0 \]\)

We were asked to find the domain of the given function \(\( g(x) \)\) and to calculate its derivative\(\( g^{\prime}(x) \)\). We simplified the integrand using partial fraction method and integrated it to find the value of \(\( g(x) \\)).

Then we concluded that the domain of \(\( g(x) \) is \( [1,2] \)\) and the function is a constant function with value

\(\( 8\ln\left|\frac{2}{3}\right|\)\) in its domain. As the function is constant, its derivative is zero everywhere. Hence we calculated \(\( g^{\prime}(x) = 0 \).\)

To know more about integral visit:

brainly.com/question/31433890

#SPJ11

Answer:

A. Odd

B. Positive Leading Coefficient

Step-by-step explanation:

When it comes to degree - Odd degrees start from below the x axis and end over the y axis

For leading coefficients - Positive leading coeffcients always start from below, since we know the degree is odd, this leading coefficient fit.

The statement that "when dealing with fixed effects, a de-meaned model approach is superior to the lsdv approach because the de-meaned model gives us more accurate coefficient estimates" is true.

Fixed effects are a type of regression technique used to understand the effect of a single variable across different groups (such as across countries, across states, across individuals, etc.) by comparing the variance of the variable within each group to the variance of the variable across all groups.

When conducting a fixed effects regression, researchers must choose between the least squares dummy variable (LSDV) and de-meaned model approaches.Both models produce unbiased estimates of the coefficients, but the LSDV model has an advantage in that it provides more flexibility when dealing with interactions between fixed effects and time-varying covariates. On the other hand, the de-meaned model is preferred for reasons of computational efficiency and it can handle certain types of data that the LSDV model cannot (such as panel data with a small number of time periods).

for such more question on Fixed effects

https://brainly.com/question/29563847

#SPJ11