How many more sides does a decagon have than an octagon?

Answer:

12

Step-by-step explanation:

28 plus 20 equals to 48 and then each divide 4

Answer:

156 M

Reasoning you add How far He has walked from his starting point

Step-by-step explanation:

Answer: 156 m here u go

Answer:

Aircraft A: 403 seats

Aircraft B: 298 seats

Step-by-step explanation:

Let's x represent the seats in Aircraft B

We have the equations:

Aircraft A: (x + 105)

Aircraft B: x

We Know

Their total number of seats is 701; find the number of seats for each aircraft.

We Take

x + (x + 105) = 701

2x + 105 = 701

2x = 596

x = 298 seats

So, there are 298 seats in Aircraft B

Aircraft A has how many seats?

We Take

701 - 298 = 403 seats

So, there are 403 seats in Aircraft A

Final Answers:

Aircraft A: 403 seats

Aircraft B: 298 seats

Answer:

C is 6 / 32 = 3 / 16.

Step-by-step explanation:

The statement fourth "The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median" is correct.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

The box plot is missing.

The box plot is shown (please refer to attached picture)

The given options are:

As we know the property of box plot the difference between the lower and higher quartiles is greater than the difference between the upper and lower quartiles.

The spread between the lower quartile and the median:

= 15 - 9 = 6

= 19 - 15 = 4

Thus, the statement fourth "The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median" is correct.

Learn more about the box and whisker plot here:

brainly.com/question/3209282

#SPJ1

Answer:

Jason likely misplaced the decimal, because 3x1 = 3, and if the decimal was between the 2 and the 5, the number would be near 3.

Step-by-step explanation:

(3.4 / 4) × 3 = 2.55

Answer:

answer B

Step-by-step explanation:

did the test

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

Learn more about Proposition here:

https://brainly.com/question/30695879

#SPJ1

Answer:

Subtract 5 as you go along the pattern.

82-5=77-5=72-5=67...

Step-by-step explanation:

Solution :

Zoe's ball pool is a cylinder with height 20 cm and diameter 90 cm.

Height = 20 cm

Diameter = 90 cm

Calculate :

(a) The Radius of the pool.

Answer :

We are given with Diameter of pool 90 cm.

We know that,

Radius = Diameter/2

Radius = 90/2 = 45 cm.

(b) The circumference of the pool .

Answer :

Circumference = 2 πr

\(2 \times \dfrac{22}{7} \times 45 \\ \\ \dfrac{ 44 \times 45}{7} \\ \\ \frac{1980}{7} \\ \\ 282.8 \: cm\)

(c) The area of the base of the pool.

Answer :

Area of base = πr²

\( \dfrac{22}{7} \times {(45)}^{2} \\ \\ \frac{22}{7} \times 2025 \\ \\ 22 \times 289.28 \\ \\ 578.56 \: {cm}^{2} \\ \)

(d) The volume of the pool

Answer :

Volume of cylinder = πr²h

\( \dfrac{22}{7} \times {(45)}^{2} \times 20 \\ \\ \dfrac{22}{7} \times 2025 \times 2 \\ \\ \dfrac{22}{7} \times 4050 \\ \\ \frac{89100}{7} \\ \\ 12728.57 \: {cm}^{3} \)

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

L - W = 2 and 2L + 2W = 68

Step-by-step explanation:

The two equations here are going to be-

Length minus width equals 2

L - W = 2

And

Length x 2 + Width x 2 = 68

2L + 2W = 68

The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.

To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:

lim(x→-1) [f(x) - f(-1)] / (x - (-1))

First, let's substitute the values into the expression:

lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)

Simplifying further:

lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)

lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)

lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)

Now, we can directly substitute x = -1 into the expression:

\((-1^2 + 2(-1) + 1) / (-1 + 1)\)

(1 - 2 + 1) / (0)

0 / 0

We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.

For more such information on: quotients

https://brainly.com/question/11418015

#SPJ8

Answer:

R(7a, 0 )

Step-by-step explanation:

R is on the vertical line RQ so will have the same x- coordinate as Q

R is on the horizontal line OR so will have the same y- coordinate as O

Thus coordinates of R = (7a, 0 )

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

Work Shown:

i = P*r*t

100 = 200*0.10*t

100 = 20t

20t = 100

t = 100/20

t = 5

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

For more such questions on semi-annually

https://brainly.com/question/30573341

#SPJ8

The first mistake Robbie made was, take improper lengths. AB is the diameter; its length is longer than the sides AX and XB. So, the triangle formed will not be an equilateral triangle.

An equilateral triangle in geometry is a triangle with equally long sides. The three angles opposing the three equal sides are equal in size because the three sides are equal.

The first mistake Robbie made was, take improper lengths. AB is the diameter; its length is longer than the sides AX and XB. So, the triangle formed will not be an equilateral triangle.

He should have, after drawing the diameter AB, construct a circle with point A as the center and AO as the radius. Mark the point of intersection as X. Then, AO, AX and OX would form an equilateral triangle.

Learn more about equilateral triangle here:

https://brainly.com/question/3461022

#SPJ1

Answer:

1. constructing the perpendicular bisector of AB

2.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

57 = 7.50x + 22

subtract 22 from both sides

35 = 7.50x

divide both sides by 7.50

4.66666666667 = x

since you cant have .666667 of a car, you would round it down to 4

The simplified expression in mathematical form is -45.36.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The expression given is -

(-15 + (-1.6 + 9.34) / 6) × (3² - 5.7)

Simplifying the terms inside the parentheses first, we get -

(-15 + 7.74 / 6) × (9 - 5.7)

Next, we simplify 7.74 / 6 by dividing the numerator by the denominator -

(-15 + 1.29) × (9 - 5.7)

We add -15 and 1.29 inside the first set of parentheses -

(-13.71) × (9 - 5.7)

We subtract 5.7 from 9 inside the second set of parentheses -

(-13.71) × 3.3

Multiplying these two terms, we get -

-45.363 ≈ -45.36

Therefore, the value is obtained as -45.36.

To learn more about expression from the given link

https://brainly.com/question/24734894

#SPJ1

The scale factor of the image after the dilation is k = 2

Given data ,

Polygon ABCD with vertices at A(1,-1) B(3,-1), C(3,-2) and D(1-2)

Now , the dilated polygon is represented as A'B'C'D'

where the coordinates are A’(2,-2), B(6,-2), C’(6,-4) and D’(2,-4).

Now , we can compare the corresponding side lengths of the two polygons to determine the scale factor:

Scale factor = (corresponding side length of dilated polygon) / (corresponding side length of original polygon)

So, A'/A = 2 / 1

A' = 2A

So, the scale factor is k = 2

Hence , the dilation is solved.

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ1

Answer:

15

Step-by-step explanation:

The maximum daily profit the company can earn is $2,350.

It is a set of points in a coordinate plane that represents the values of the function for different inputs.

The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.

Therefore, the maximum daily profit the company can earn is $2,350.

To know more about profit visit:

brainly.com/question/29959522

#SPJ1

The probability that at least one child in a kindergarten class of 14 kids under the age of 5 has food allergies is approximately 0.775 or 77.5%.

To calculate the probability that at least one child in a kindergarten class of 14 kids under the age of 5 has food allergies, we need to use the concept of complementary probability.

The probability of an event occurring can be calculated by subtracting the probability of the event not occurring from 1.

Let's calculate the probability that none of the children have food allergies. Since the estimated prevalence of food allergies in children under age 5 is 18%, the probability that a child does not have food allergies is 1 - 0.18 = 0.82.

Now, we can calculate the probability that none of the 14 children have food allergies:

Probability of no food allergies = \((0.82)^14\)

This is because we assume that the occurrence of food allergies in each child is independent of the others, so we can multiply the probabilities together.

Now, we can calculate the probability that at least one child has food allergies:

Probability of at least one child with food allergies = 1 - Probability of no food allergies

= 1 - (0.82)^14

Using a calculator, we can evaluate this expression:

Probability of at least one child with food allergies ≈ 0.775

Therefore, the probability that at least one child in a kindergarten class of 14 kids under the age of 5 has food allergies is approximately 0.775 or 77.5%.

Please note that the estimated prevalence of 18% is used as a general approximation, and actual prevalence may vary.

For more such questions on probability.

https://brainly.com/question/251701

#SPJ8

Answer:

$14300

Step-by-step explanation:

30% is the same as .3

They are raising 5k more to the 6k so 5000+6000= 11000

.3*11000= 3300...so the trustee is adding 3300 to the fund, making the total fund 3300+11000= $14300

Answer:

\(\huge\boxed{d=\sqrt{17}}\)

Step-by-step explanation:

Simply use the fact that the change in x squared + the change in y squared = the distance squared.  (The Pythagorean Theorem)

1^2 + 4^2 = d^2

1 + 16 = d^2

17 = d^2

d = √17

Hope it helps :)

The maximum profit price and maximum profit are 23.33 and  301666.66 respectively

Given the following functions

Expense =  E = -3,000p + 250,000.

The revenue function is R = -600p^2 + 25,000p

The profit is the difference between the revenue and cost to have;

P = R - E

P = -600p^2 + 25,000p - ( -3,000p + 250,000.)

Simplify

P = -600p^2 + 25,000p - ( -3,000p + 250,000.)

P = -600p^2 + 25,000p +3,000p-  250,000

P = -600p^2  + 28000p - 250000

The maximum price occurs when P'(p) = 0

P'(p) = -1200p + 28000

0 = -1200p + 28000

p = 28000/1200
p = 23.33

Substitute

P(23.33) = -600(23.33)^2  + 28000(23.33) - 250000

P(23.33) = -326573.34 - 250000 + 653240

P(23.33) = 301666.66

Hence the maximum profit price and maximum profit are 23.33 and  301666.66 respectively

Learn more on maximum function here: https://brainly.com/question/82347

#SPJ1

Answer:

7.50

Step-by-step explanation:

i'm dumb

Answer:

He can buy 5 cartons of eggs

Step-by-step explanation:

Take $9.50 and subtract $2

Then divide that answer by $1.50