Would a square or a circle contain more area if they have enough brick to make a 10-kilometer fence/wall? Please show your calculations.

The two plans will cost the same when Lucy has driven 550miles. ($55 + $0.50 x 550)= $330

(0.6*550)=$330

The difference between both the trip rate is .10$

and the difference between initial fee is 55$

so after 1 mile the difference is .10$

the 55$can be earn after

55*10=550 mile.

Divide the overall distance traveled by the time period to find the average speed. An someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location (60 mph)

The overall distance traveled by an object over the total amount of time is the thing's average speed. The average speed v of an object during a motion that covers a total distance of d and a total duration of t can be estimated using the formula v = d t.

To know more about average speed visit:

https://brainly.com/question/12322912

#SPJ1

The expressions that are equivalent to 4b can be 2b + 2b and 5b - b.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations

In this case, it should be noted that examples such as:

5b - b = 4b

3b + b = 4b

2b + 2b = 4b

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The length of the bases of the trapezoid shape yard will be 18 yards and 22 yards.

A quadrilateral with at least one set of parallel sides is called a trapezoid in American and Canadian English.

In British and other varieties of English, it is termed a trapezium.

In Euclidean geometry, a trapezoid is a convex quadrilateral by definition.

The parallel sides are called the basis of the trapezoid.

So, we have:
The height should be 3 yards higher than the shorter base.

b₁=h+3

The height should be 3 yards higher than the shorter base.

b₂=h+7

Formula for Area of trapezoid = 1/2(b₁+b₂)h

Now, using the formula, calculate as follows:

150=1/2(h+3+h+7)h

150=(2h+10)h/2

150=2h²+10h/2

150=2h²+5h

h²+5h-150=0

h²+15h-10h-150=0

h(h+15)-10(h+15)=0

(h-10)(h+15)=0

h=10 or h-15

h should be positive:

b₁=h+3=15+3=18

b₂=h+7=15+7=22

Therefore, the length of the bases of the trapezoid shape yard will be 18 yards and 22 yards.

Know more about a Trapezoid here:

https://brainly.com/question/1410008

#SPJ4

Complete question:
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. the total area of the flower garden is 150 square yards. what will the length of each base be

The quantity of coffee B in a 25 kg delux bag is 10kg

Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. Here the dividend is called the 'antecedent' and the divisor is called the 'consequent'.

total division of the 25kg bag is 3 + 2 = 5

so that each division would weigh 25/5 = 5kg

coffee B has 2 division so that its total quantity is 5 x 2 = 10kg

In conclusion the total quantity of coffee B is 10kg

Learn more about ratio: https://brainly.com/question/2914376

#SPJ1

You determine the limit by [tex]\lim_{n \to \infty} a_n = -1[/tex].

A limit in mathematics is a point at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend on limits, which are also used to determine integrals, derivatives, and continuity. The concept of limit, which is founded on the idea of closeness, is largely used to give values to some functions at points when none are defined in a way that is consistent with values close by.

Divide the denominator and numerator by 3n as shown.

[tex]\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{2^n+3^n}{2^n-3^n\\}[/tex]

[tex]= \lim_{n \to \infty} \frac{(\frac{2}{3})^n+1 }{(\frac{2}{3})^n-1 } \\=\frac{0+1}{0-1} \\=-1[/tex]

To learn more about limits, refer:-

https://brainly.com/question/12211820

#SPJ4

Answer: -1/28 gallon

Step-by-step explanation:

divide both numbers by 4 since its 1/4 a minute (-5/7 ÷ 4 and 4/7 ÷ 4) then add them, (-5/28 + 4/28= -1/28)

Answer: -1/28 gallon

Step-by-step explanation:

Answer:

10 yrs old and 35 yrs old

Step-by-step explanation:

I figured it out by trial and error but here's the thinking process.

10 + 35= 45

Son becomes dad's age so 35-10=25, so plus 25 year to each age.

10+25=35

35+25= 60

35+60=95

I hope that makes enough sense!

Answer:

30

Step-by-step explanation:

2 multiplied by 24 = 48

48 - 18 = 30

The slope-intercept form of the equation 8x = 4y + 16 will be y = 2x -4.

What is equation straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The equation given is 8x = 4y + 16.

We must solve for y as follows;

8x = 4y + 16

4y = 8x -16

By dividing through by 4; we have;

y = 2x -16

Hence the equation for both lines will be y = x +3 and   y  = x+13

Learn more about straight line, by the following link

https://brainly.com/question/16949303

#SPJ1

Answer:

Step-by-step explanation:

We can use one of the properties of exponents to change the −2 into +2 by sending the base to the denominator as:24⋅2−2=24⋅12+2=244=6

Answer:

We can use one of the properties of exponents to change the −2 into +2 by sending the base to the denominator as:

24⋅2−2= 24⋅1/2 OVER +2= 24/4= 6

Step-by-step explanation:

Answer:

6.25h

Step-by-step explanation:

The test statistics for one-way Anova follows, the comparing of the T Statistic with the T critical value.

On data that is dispersed normally, the Z test is a parametric process that is applied. The z-test can be applied to proportions, two samples, or one sample to test hypotheses. When the population variance is known, it is possible to determine whether the means of two significant groups differ.

The second is one-way analysis of variance (ANOVA), which checks if three or more samples originate from populations with the same mean using the F-distribution.

The test statistic should be compared to the crucial value. If the test statistic is more extreme in favor of the alternative than the crucial value, the alternative hypothesis should be considered instead of the null hypothesis. If the test statistic is not as extreme as the crucial value, the null hypothesis should not be disregarded.

Therefore,

The test statistics for one-way Anova follows, the comparing of the T Statistic with the T critical value.

To learn more about One-way Anova visit : brainly.com/question/29554661

#SPJ4

If Marcus monthly salary is $1,500 plus 10% of sale, then he could earn 1500 + 0.09x per month with salary and 9% sales

Monthly salary of Marcus = $1500

The percentage incentives for sales = 10%

If the percentage of incentive for sales is 9 %

Consider the amount of sales is $x

Therefore the monthly salary of Marcus = Monthly salary of Marcus + (The amount of sales × 9/100)

Substitute the values in the equation

The monthly salary of Marcus = 1500 + (x×9/100)

Divide the numbers in the equation

= 1500 + (x × 0.09)

Multiply the numbers the numbers

= 1500 + 0.09x

Therefore, the monthly salary of Marcus will be 1500 + 0.09x

Learn more about percentage here

brainly.com/question/12715980

#SPJ4

Answer:

Answer Option C: SSA

The length of missing side of triangle is 11cm.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right angled triangle.

In the triangle hypotenuse is 12cm, opposite side is 4.8cm.

We need to find the adjacent side which is represented by x.

By pythagoras theorem we find the missing side

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

12²=4.8²+x²

144=23.04+x²

subtract 23.04 on both sides

120.96=x²

Take square root on both sides

x=10.99

x=11

Hence, the length of missing side of triangle is 11cm.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer: (4, 10)

Step-by-step explanation:

The first number, 4, is the number on the x axis, the horizontal axis. The second number 0 is the number on the y axis, the vertical axis.

If you move up you would moving on the y axis, therefore the second number, 0, would change.

You moved 10 units so starting at 0 move up 10 units. 0 + 10 = 10

Now you're at (4, 10)

The probability that Alice and Bob form a match is [tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex].

To answer the question, we use the probability by its complement.

The complement of an event is the subset of outcomes in the sample space that are not in the event. A complement is itself an event.

In this case, probability space is ([tex]^{24} C_{5}[/tex])^2 where there is match for 4 or 5.

For number of ways for 5 adjectives match is ([tex]^{24} C_{5}[/tex]).

For number of ways for 4 adjectives match is ([tex]^{24} C_{4}[/tex])*20*19.

We first choose 4 adjectives which are match and then there are 20*19 ways for both of them to choose an adjective each from remaining 20 adjectives.

Then, the desired probability is:

[tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex]

Learn more about complement at: https://brainly.com/question/13723132

#SPJ4

The given situation for the price according to the distance is not proportional.

Let the total distance covered by Tino is 'x'.

Let the total price be 'y'.

Then,

y = fixed price + additional price

y = $2 + $0.5x

For x = 1; y = $2.5   ---> x/y = 1/2.5

for x = 1; y = $3   ---> x/y = 2/3

for x = 3; y = $3.5   -----> x/y = 3/3.5

In all situations, ratio x/y is not constant.

Thus, the given situation for the price according to the distance is not proportional.

To know more about the proportional relationship, here

https://brainly.com/question/2143065

#SPJ1

The age of Michelle is 30 years old (option A).

The mathematical operation that would be used to determine the required value is multiplication. Multiplication is the process of determining the product of two or more numbers. The sign that represents multiplication is ×.

The first step is to determine Fiona's age.

Fiona's age = Madeline's age x 2

Fiona's age = 5 x 2 = 10

The second step is to determine Michelle's age.

Michelle's age = Fiona's age x 3

Michelle's age = 10 x 3

Michelle's age = 30

To learn more about multiplication, please check: https://brainly.com/question/13814687

#SPJ1

Answer:

Substitute x = 4 into the equation.

f(4) = 2(4)² - 6

= 2(16) - 6

= 32 - 6

= 26

The probability that there is at least two 4s in the three throws is 0.05 or 5%

Probability

In statistics, probability deals with the possibility of happening of the events.

Given,

Here we know that the throw a fair die three times. if we observe the first throw is a 4.

And we need to find the probability that there is at least two 4s in the three throws.

According to the given question, we know that the dice is thrown 3 time.

Then the sample space of the given event is 216.

Here we know that the first throw has 4.

And we need to find the probability of getting two 4s in the 3 throws,

So, the possible number of events are.

=> {444, 441, 442, 443, 445, 446, 414, 424, 434, 454, 464}

So, the total possible number is 11.

Then the probability is,

=> 11/216

=> 0.05 or 5%

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4

The possible number of hours Henry could trim trees is t > 10.

The given information represents a scenario which demonstrates an inequality statement as Henry wants to earn at least $ 56, which means the amount earned should be greater than 56.

Let t be the possible number of hours Henry trim trees. As his per hour charge is $6 and he pays $4 in equipment fee, the inequality statement is:

6t – 4 > 56

Solving,

6t  > 56 + 4

6t  > 60

t > 10.

In order to earn at least $56, Henry must trim trees for at least 10 hours or more.

Note: The question is incomplete. The complete question probably is: Henry wants to earn more than $56 trimming trees. He charges $6 per hour and pays $4 in equipment rental fees. What are the possible number of hours Henry could trim trees?

Learn more about Inequality:

https://brainly.com/question/24372553

#SPJ4

kiloliter

One thousand liters is called a kiloliter. A kiloliter is equal to 264.172 gallons. One liter is equal to 0.264172, so if you want to find how many gallons there are in 1 kiloliter, just multiply 0.264172 by 1000

Answer:

1000 liters  

Step-by-step explanation:

Function h is the one with the lowest minimum value.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for creating physical links in the sciences.

A function is more precisely defined as a set of ordered pairs (x,y) with the limitation that there may only be one ordered pair with the same value of x given a set of inputs (domain) X and a set of potential outputs (codomain).

A graph is considered to be a function if any vertical line formed can cross it at most one point. A vertical line cannot cross the graph at more than two points in any location.

Considering the query

f(x) = x² - 2x - 6

given the graph

at its lowest value (1,-7)

h(x) = 2(x-1)²

h(x) = 2 (x² + 1 -2x )

h(x) = 2x² - 4x + 2

Creating the graph

We may view the

Lowest value at (1,0)

The complete question is,

Consider continuous functions f, g, and k. Then complete the statements.

The function that has the least minimum value is function _____. The function that has the greatest minimum value is function _____.

To learn more about function refer to:

https://brainly.com/question/25638609

#SPJ4

The required probability that the sample mean courtship time is between 115 min and 135 min is 0.5269.

We know that probability is defined as the proportion of number of favorable outcomes to the total number of outcomes.

Probability implies plausibility. A piece of math deals with the occasion of a sporadic event. The worth is communicated from zero to one. Likelihood has been acquainted in Maths with foresee how likely occasions are to occur.

The significance of likelihood is essentially the degree to which something is probably going to occur. This is the fundamental likelihood hypothesis, which is likewise utilized in the likelihood dispersion, where you will get familiar with the chance of results for an irregular examination. To track down the likelihood of a solitary occasion to happen, first, we ought to know the complete number of potential results.

We have μ=115min

n=50

P(x₁<X<x₂)=P(z₂< (x₂-μ) /S.D) -P(z₁<(x₂-μ)/S.D)

S.D=√(σ²/ n)

=>S.D=√(115)²/50

=>S.D = √(13225)/50

=>S.D = √264.5

=>S.D = 16.26

P(115<X<135)=P(z₂< (135-115)/16.26)-P(z₁ <(100-115) / 16.26)

=>P((115<X<135)=P(z₂<20/16.26)-P(z₁< -15/16.26)

=>P(115<X<135)=P(z₂<1.23) - P(z₁<-0.922)

From the probability distribution table

P(z₂<1.23)=0.6255

P(z₁<-0.922)=0.0986

P(115<X<135)=0.6255-0.0986

=>P(115<X<135)=0.5269

Hence, required probability is 0.5269

To know more about probability, visit here:

https://brainly.com/question/11234923

#SPJ4

Answer:

n = 4

Step-by-step explanation:

Given equation:

[tex]\sqrt[3]{y^2} =\sqrt[6]{x}[/tex]

[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]

[tex]\implies y^{\frac{2}{3}}=x^{\frac{1}{6}[/tex]

Take both sides of the equation to the power of ³/₂:

[tex]\implies \left(y^{\frac{2}{3}}\right)^\frac{3}{2} =\left(x^{\frac{1}{6}\right)^\frac{3}{2}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies y^{\frac{2}{3} \cdot \frac{3}{2}}=x^{\frac{1}{6} \cdot \frac{3}{2}}[/tex]

Simplify:

[tex]\implies y^{\frac{6}{6}}=x^{\frac{3}{12}[/tex]

[tex]\implies y^1=x^{\frac{1}{4}[/tex]

Apply exponent rule  a¹ = a :

[tex]\implies y=x^{\frac{1}{4}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]

[tex]\implies y=\sqrt[4]{x}[/tex]

The number of tickets they purchased is 4.

The expression that would b used to represent the total cost at the carnival is a linear expression. A linear expression is an expression that has a single variable that is raised to the power of one.

The form of the linear expressions that can be used to represent the total cost at the carnival is:

Total cost = admission fee + (price per ride x number of rides)

Total cost in option 1 = $5 + 0.30r

Total cost in option 2 = $3 + $0.80r

Where r = number of rides

When they pay the same amount of money, the linear functions would be equal:

$5 + 0.30r = $3 + $0.80r

$5 - $3 = $0.80r - 0.30r

$2 = $0.50r

r = 2 / 0.5

r = 4

To learn more about cost, please check: https://brainly.com/question/12125744

#SPJ1

Answer:

$7800

Step-by-step explanation:

1 year = 10%

3 years = 30%

30% = 0.3

6000 times 0.3 = $1800

6000 + 1800 = $7800

So, they will pay $7800

The rate at which Submarine B descends is 29.8 feet per hour.

The rate refers to the average speed of an object in motion from one point to another.

The rate can be determined by dividing the distance by the time.

The rate or average speed is the quotient between distance and time.

The distance descended by Submarine A = 193.5 feet (126 + 4 ½ x 15)

The time Submarine B descends = 6.5 hours

Submarine B's rate of descent = 29.77 feet (193.5/6.5) per hour

= 29.8 feet

Thus, we can conclude that Submarine B descends at the rate of 29.8 feet every hour, whereas, Submarine A descends 15 feet per hour.

Learn more about the average speed at https://brainly.com/question/4931057

#SPJ1

Therefore ,we would reject the null hypothesis H0: = 3 in favor of the alternative hypothesis HA: 3. The graph's rejection zone is highlighted in red for visual appeal.

The field of mathematics known as probability studies numerical descriptions of the likelihood of an event occurring or of a statement being true. A number between 0 and 1 is the probabilities of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Here,

Two-Tailed

For the two-tailed test H0, the following two values are critical: = 3 against HA: 3 — one for each tail, with the left tail being denoted by -t(/2, n - 1) and the right tail being denoted by t(/2, n - 1). The t-values t(/2, n - 1) and -t(/2, n - 1) are those where the probability to the left of them is /2 and the likelihood to the right is /2, respectively. It is possible to demonstrate the crucial values -t0.025,14 is -2.1448 and t0.025,14 is 2.1448, respectively, using statistical software or a t-table. This means that if the test statistic t* is less than -2.1448 or more than 2.1448, we would reject the null hypothesis H0: = 3 in favor of the alternative hypothesis HA: 3. The graph's rejection zone is highlighted in red for visual appeal.

To know more about probability , visit

https://brainly.com/question/11234923

#SPJ4