Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown. Sam's Solution Bruno's Solution 45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 times 0.621 = 77.38 kilometers. 45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers. If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct?

To determine the sum of money Jeff should invest on January 21, 2020, in order to reach $80000 on August 8, 2020, at an annual interest rate of 5%, we need to calculate the present value of the future amount using the time value of money concepts.

We can use the formula for the present value of a future amount to calculate the initial investment required. The formula is:

Present Value = Future Value / (1 + interest rate)^time

In this case, the future value is $80000, the interest rate is 5% per year, and the time period is from January 21, 2020, to August 8, 2020. The time period is approximately 6.5 months or 0.542 years.

Plugging these values into the formula, we have:

Present Value = $80000 / (1 + 0.05)^0.542

Evaluating the expression, we find that the present value is approximately $75609. Therefore, Jeff should invest approximately $75609 on January 21, 2020, to amount to $80000 on August 8, 2020, at a 5% annual interest rate.

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The measure of the  three angles are:

66°

69°

and 45°.

Given, three angles are:

first angle = 7x+3

second angle = 7x+6

third angle = 4x+9

sum of the measures of the three angles = 180°

therefore, first angle + second angle + third angle = 180°

7x+3 + (7x+6) + ( 4x+9) = 180°

open the brackets.

7x+3 + 7x+6 +  4x+9 = 180°

add the x terms and constants.

7x + 7x + 4x + 3 + 6 + 9 = 180°

18x + 18 = 180°

18x = 180 - 18

18x = 162

x = 162/18

x = 9°

The value of x is 9°, now substitute the value of x to get the angles.

first angle =  7x+3

= 7(9)+3

= 66°

second angle =  7x+6

= 7(9)+6

= 69°

third angle = 4x+9

= 4(9)+9

= 45°

hence we get the measure of three angles as 66°,69° and 45°.

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The statement "the horizontal, continuous lintel on a classical building supported by columns is called a stylobate" is False.

The horizontal, continuous lintel on a classical building supported by columns is called an entablature, while the stylobate is the platform on which the columns stand.

In classical architecture, the entablature is the horizontal, continuous lintel that rests on top of the columns and consists of three parts: the architrave (the bottom layer), the frieze (the middle layer), and the cornice (the top layer). The entablature helps to unify the columns and create a sense of continuity across the facade of the building.

The stylobate, on the other hand, is the platform or base upon which the columns stand, and is usually elevated above ground level. Together, the stylobate and entablature form the colonnade, a defining feature of classical architecture.

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Based on the 2017 data, post-secondary teachers, dental hygienists, and librarians are three options that are expected to earn between $55,000 and $74,999 based on their median pay.

The median pay is the midpoint of a set of salaries, where half of the workers earn less and half earn more. In this case, the link provided takes us to the 2017 median pay column for various occupations.

After reviewing the data, it appears that post-secondary teachers, dental hygienists, and librarians are expected to earn between $55,000 and $74,999 based on their median pay. The median pay for post-secondary teachers is $76,000, while the median pay for dental hygienists is $74,070. Lastly, the median pay for librarians is $59,050.

It's important to note that the median pay for carpenters, firefighters, and childcare workers are below $55,000. This means that half of the workers in these occupations earn less than $55,000 per year.

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Answer:

True

Step-by-step explanation:

(0,-1) lands on the y-axis

Answer:

the answer is false

Step-by-step explanation:

bc the line is not on 0,-1

hope this helped ^^

The volume of the ring-shaped remaining solid is 1797 cm³.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is 1797 cm³.

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Answer:

my bad yall, I seen the comments!! it's 12

Step-by-step explanation:

I'm so sorry!!

Answer:

Okay, i'm not being jugy but it it is super easy... it is 12 only because 1x12=12, 2x12=24, 3x12=36, and 4x12=48!!

it is most definately 12 DON'T WORRY

Answer: p=-4

Since,

=> p-4=-8

=>p-4+4 =-8+4(adding 4 both sides)

=>p=-4 ans.

Answer:

-4

Step-by-step explanation:

Given

Add 4 to both sides.

Hence, the value of p in the equation is -4.

Answer:

13 with a remander of 1

Step-by-step explanation:

Answer:

it equals 0.3

Step-by-step explanation:

3/8×4/5= 0.3

5a. A function to show p, the number of parrots t years after 2010 is \(P(t) = 515(1.54)^t\\\\\).

5b. The number of parrots that is expected to be there in 2016 is 6,870 parrots.

In Mathematics and Statistics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

\(P(t) = I(1 + r)^t\\\\\)

Where:

Part a.

By substituting the given parameters into the formula, an exponential function to show p, the number of parrots t years after 2010 is given by;

\(P(t) = I(1 + r)^t\\\\\)

4418= 515(1 + r)⁵

(1 + r)⁵ = 4418/515

(1 + r)⁵ = 8.5786407766990

1 + r = 1.54

Therefore, the required exponential function to show p is given by;

\(P(t) = 515(1.54)^t\\\\\)

Part b.

When t = 6 years, the number of parrots can be calculated as follows;

\(P(6) = 515(1.54)^6\)

P(6) = 6,869.60 ≈ 6,870 parrots.

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The value of standard deviation of the sample is 11.29 grams.

To calculate the standard deviation of a sample, we need to use the following formula:

s = sqrt [ Σ(xi - x)^2 / (n-1) ]

where s is the standard deviation of the sample, Σ(xi - x)^2 is the sum of the squared deviations of each data point from the sample mean, n is the sample size and x is the sample mean

To calculate the standard deviation for the weights of the 5 mice, we first need to find the sample mean:

x = (56 + 59 + 78 + 56 + 77) / 5 = 65.2

Next, we can calculate the sum of the squared deviations:

Σ(xi - x)^2 = (56 - 65.2)^2 + (59 - 65.2)^2 + (78 - 65.2)^2 + (56 - 65.2)^2 + (77 - 65.2)^2

= 82.36 + 41.64 + 156.64 + 82.36 + 147.56

= 510.56

Finally, we can calculate the standard deviation:

s = sqrt [ Σ(xi - x)^2 / (n-1) ] = sqrt [ 510.56 / (5-1) ] = sqrt [ 127.64 ] = 11.29

Therefore, the standard deviation is 11.29 grams.

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This is the answer

Hope this answer is helpful...

Hope this answer is helpful...Make me as brainliest...

The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).

To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.

First, let's find the derivatives of f(x) up to the third order:

f(x) = (3cos(x))ln(1+x)

f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)

f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²

f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³

Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:

f(0) = (3cos(0))ln(1+0) = 0

f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3

f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3

f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9

Now we can write the first three nonzero terms of the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...

Simplifying, we have:

f(x) = 3x - (3/2)x² - (3/2)x³ + ...

To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:

Let aₙ be the nth term of the series.

|r| = lim(n->infinity) |a_(n+1)/aₙ|

= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|

= lim(n->infinity) |(3/2)x|

For the series to converge absolutely, we need |r| < 1:

|(3/2)x| < 1

|x| < 2/3

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For the expression b² - 4ac with a = 1, b = 6, and c = 3, the calculation yields a value of 24.

Let's calculate the expression b² - 4ac for the given values of a = 1, b = 6, and c = 3.

Substituting these values into the expression, we have:
b² - 4ac = (6)² - 4(1)(3)

Evaluating the terms within parentheses and performing the multiplications, we get:
b² - 4ac = 36 - 4(1)(3)

Simplifying further:
b² - 4ac = 36 - 12

Finally, subtracting 12 from 36, we obtain:
b² - 4ac = 24

Thus, the expression b² - 4ac evaluates to 24 when a = 1, b = 6, and c = 3.

This result represents the value of the discriminant, which in this case indicates that the quadratic equation formed using these coefficients will have two distinct real solutions.

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Answer:

$15.21

Step-by-step explanation:

The total cost of the lunch without tax is $13. If you want to find the cost of the tip, you have to find 17% of 13. To find this you do 13×0.17 which is 2.21 dollars. Now add this to the original price of your lunch, $13, to get $15.21.

Answer: 16.8 miles

Step-by-step explanation:

Multiply 2.8 miles by 6 to find the number of miles jogged after 6 days.

Answer:

16.8 miles!

Step-by-step explanation:

The domain of the function f(x) = 2x² + 2x + 4  is (-∞, ∞).

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

You have the quadratic function

f(x) = 2x² + 2x + 4 ,

and remember that all quadratic functions are parabolas opening at point called the vertex.

Since you can plug any real number in our parabola here, its domain is all the real numbers, and this is true for all the quadratic functions of the form ax² + bx + c = 0.

Thus, in interval notation the domain of the function  is (-∞, ∞).

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Answer:

\(\huge\boxed{\sf x = 85}\)

Step-by-step explanation:

0.2x - 6 = 11

0.2x = 11 + 6

0.2x = 17

x = 17/0.2

\(\rule[225]{225}{2}\)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \purple {━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps!

Answer:

(5,20)

Step-by-step explanation:

Answer:

Width = 5 meters

Length = 12 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 34 meters

Width = x meters

Length = 2x + 2 meters

Perimeter of a rectangle = 2(length + width)

34 = 2{(2x+2) + x}

34 = 2(2x + 2 + x)

34 = 2(3x + 2)

34 = 6x + 4

34 - 4 = 6x

30 = 6x

x = 30 / 6

x = 5 meters

Width = x meters = 5 meters

Length = 2x + 2 meters

= 2(5) + 2

= 10 + 2

= 12 meters

Answer:

Step-by-step explanation:

\(c=(\dfrac{co \ efficient \ of \ x}{2})^{2}\)

\(1) c =( \dfrac{8}{2})^{2}=4^{2} =16\\\\\\2) c= (\dfrac{5}{2})^{2}=\dfrac{25}{4}\\\\\\3)c= (0.1)^{2}=0.01\\\\4)c=\dfrac{b^{2}}{4}\)

Answer:

9.4 cm to nearest tenth.

Step-by-step explanation:

Diagonal of the  6*2 base:

d^2 = 6^2 + 2^2 = 40

d = √40

So the required diagonal:

D^2 = (√40)^2+ 7^2

D^2 = 89

D = √89 = 9.434.

Answer:

15.1

Step-by-step explanation:

To find the length of the rectangular prism' diagonal, use the formula for the length of a diagonal of a right rectangular prism.

d=l2+w2+h2−−−−√

Substitute 7 for l, 6 for w, and 12 for h

Then simplify.

d=72+62+122−−−−√

=49+36+144−−−−√

=229−−−√≈15.1

Therefore, the length of the rectangular prism's diagonal is about 15.1cm.

44.43.56.55  is the number of different outcomes are there for the chair and vice chair elections.

What is probability ?

nominate ad chair in 44 ways, Blues can nominate a person for the chair in 56 ways

Now reds can nominate a person for vice chair in 43 ways from remaining member and blues can nominated person for vice chair in 55 ways

So, 44.43.56.55  is the number of different outcomes.

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If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

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Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?

Answer:

Below

Step-by-step explanation:

 Area = pi r^2

   so    r =  sqrt ( area / pi)  = sqrt ( 154/pi) = 7 cm   so diameter = 14 cm

Perimeter ( also called circumference ) = pi * d

                                                                 = pi * 14 = 44 cm

Answer:

Da!!!!!!!!!!!!!!!!!!!!!!!!!!

YES

Answer:

naravno da

Step-by-step explanation:

Answer: the answer is 4/7 your welcome

Answer:

\(\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}\)

Step-by-step explanation:

Given

\(\cos A = \frac{1}{2}\)

Required

Determine \(\cos(\frac{1}{2}A)\)

To do this, we make use of the following identity

\(\cos(\frac{1}{2}A) = \sqrt{\frac{\cos A+1}{2}}\)

Substitute: \(\cos A = \frac{1}{2}\)

\(\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{1}{2}+1}{2}}\)

Solve the numerator

\(\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{2+1}{2}}{2}}\)

\(\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{3}{2}}{2}}\)

Rewrite as:

\(\cos(\frac{1}{2}A) = \sqrt{\frac{3}{2} * \frac{1}{2}}\)

\(\cos(\frac{1}{2}A) = \sqrt{\frac{3}{4}}\)

Take square roots

\(\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}\)