The cost of a taxi fare is $5 plus $1.50 per kilometre travelled. a) Derive a formula for calculating the cost, $P, of travelling n km. b) Use your formula to calculate the cost of travelling 25 km. please help me​

Answer:

37°

Step-by-step explanation:

sum of exterior angles of a polygon is 360°

so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360

8x+64=360, subtract 64 from both sides

8x=296

x=37°

Answer:

Common Factor is 4.

Step-by-step explanation:

-8b + 4

Both have a 4 in it.

-8b + 4 / 4 = -2b

Step-by-step explanation:

speed = distance/time

distance = speed × time.

so, for the first 4 hours

distance = 60 m/h × 4 h = 240 miles

and for the next hour

distance = 40 m/h × 1 h = 40 miles

she traveled therefore

240 + 40 = 280 miles

the answer was 280, Take your chances with it, I did it on edgeinuity but it wont let me show the screenshot i took

Answer:

18 region

Step-by-step explanation:

step 1. 11+11+1=23

step 2. 23-41= -18 region

Answer:

so the volume of our cone is exactly π ! As we all know, this can be approximated as volume ≈3.14159

Answer:

Infinitely many solutions

Step-by-step explanation:

Equations can either have no solutions, one solution, or infinitely many solutions.

Examples:

Given: 3(2x − 4) = 2(3x − 6)

Distribute:

3(2x − 4) = 2(3x − 6)

3(2x) + 3(−4) = 2(3x) + 2(−6)

6x − 12 = 6x − 12

As both sides of the equation are identical, this equation has an infinite number of solutions.

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Answer:

Step-by-step explanation:

1. 150 * π/180

= 150π/180

= 5π/6

=2.62

2. π/2

π/2 * 180/π

= 90 degrees

Step-by-step explanation:

1)150° 's radian measure

[tex] \rm \implies150 \: Deg × π/180 = 2.618 \: Radians[/tex]

2)π/2 's degree measure

[tex] \rm \: \implies \: π/2 × 180/π= 180/2 = 90 \: degrees[/tex]

Basically,we need to use formulas to solve these type of sums.

Answer:

1/4, 3/10, 7/20, 2/5

Step-by-step explanation:

1/4 = 25%

3/10 = 30%

7/20 = 35%

2/5 = 40%

Answer:

The answer is 405

Step-by-step explanation:

FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405

Hope this helped!

Answer:

$22,883

Step-by-step explanation:

Principal Amount ( P ) = $16250

Interest Rate ( r ) = 4.9% or 0.049( divide by 100)

Term ( t ) = 7

Compounded monthly( n ) = 12

Formula for Compound Interest:

A = P ( 1 + r/n)^nt

A = Future value

Solution:

Substitute the given values of P, r, n and t to the formula for the compound interest.

A = $16250 ( 1 + 0.049/12)^(7)(12)

A = $16250 ( 1.004083333)^(84)

A = $16250 ( 1.408184955 )

A = $22,883

The standard form of the expanded polynomial, is expressed as: 7r² - 6r - 9.

The standard form of a polynomial is expressed by writing the term with the highest exponent or power first, while the constant is written last.

Given the polynomial:

(8r² - 7r - 9) + (-r² + r)

Distribute to open the bracket

8r² - 7r - 9 - r² + r

Combine like terms

7r² - 6r - 9 (standard form)

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[tex]\cfrac{2}{x^2-25}~~ - ~~\cfrac{3x}{x^2-4x-5}\implies \cfrac{2}{\underset{\textit{difference of squares}}{x^2-5^2}}~~ - ~~\cfrac{3x}{(x+1)(x-5)} \\\\\\ \cfrac{2}{(x-5)(x+5)}~~ - ~~\cfrac{3x}{(x+1)(x-5)}\implies \cfrac{(x+1)2~~ - ~~(x+5)3x}{\underset{\textit{using this LCD}}{(x+1)(x-5)(x+5)}} \\\\\\ \cfrac{2x+2-3x^2-15x}{(x+1)(x-5)(x+5)}\implies \cfrac{2-3x^2-13x}{(x+1)(x-5)(x+5)}\qquad x\ne -1,\pm 5[/tex]

why can't it be -1 or 5 or -5? if it ever does become that, the denominator will go poof and the fraction undefined.

Composite functions is a way of substituting one function into another. The value of the composite function f(g(1)) is 1

Composite functions is a way of substituting one function into another.

Given the function expressed as:

y = 3√x + 1

g(1) from the mapping is 0

Substitute g(1) = 0 into the given function to have:

f(g(1)) =  3√0 .+ 1

f(g(1)) =0 + 1
f(g(1))  = 1

Hence the value of the composite function f(g(1)) is 1

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Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

According to this question, Marcus had to drive to a job training workshop in a city 225 miles away from his home.

He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training.

This means that Marcus was paid as follows:

Therefore, Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

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The probability that a student chooses drama as an elective is 7%.

Probability is the study of the odds of obtaining each outcome of a random experiment. These odds are assigned the real numbers in the range between 0 and 1. Results closer to 1 are more likely to occur.

In this case, we can call:

So, the information given was:

The formula will be:

P(A or D) = P(A) + P(D) - P(A and D)

So:

[tex]20\% = 15\% + P(D) - 2\%\\P(D) = 20\% - 15\% + 2\%\\P(D) = 7\%[/tex]

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Answer:

A) in Step 2

Step-by-step explanation:

Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.

Answer:

C) 117 Feet

Step-by-step explanation:

The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.

100^2+60^2=c^2

10000+3600=c^2

c^2=13600

c=116.6190379

Round --> 117

Thus the answer, C).

find the value of n.

8 × 2^3n = 2^12

n = 3

[tex]\sf\ given \:: \: 8 \times 2 ^{3n} [/tex]

[tex]\sf\rightarrow 8 \times 2 ^{3n} \: = {2}^{12} [/tex]

[tex]\sf\rightarrow {2}^{3n} = {2}^{12} \: \: (8 = {2}^{3} )[/tex]

[tex] \sf\rightarrow {2}^{3n + 3} = {2}^{12} \: \: \: ( {a}^{m} \times {a}^{n} = {a}^{m + n} )[/tex]

Equating powers since bases are same.

[tex]\sf\rightarrow 3n \: + 3 = 12[/tex]

[tex]\sf\rightarrow 3n \: + 3 - 3 = 12 - 3[/tex]

[tex]\sf\rightarrow 3n = 9[/tex]

Divide both sides by 3.

[tex]\sf\rightarrow n = 3[/tex]

Thus the value of n is 3 .

Answer:

1,695,675

Step-by-step explanation:

Me using the calculator <3

Answer:

step 1

Step-by-step explanation:

in step one,  it should have been 2 x 7 x 1000

Answer:

step 1

Step-by-step explanation:

In step 1 he separated 7000 as 7×100. but it should be 7×1000 or 70×100 because its 7000 not 700

Answer:

Step-by-step explanation:

{x,y}={5,-5}

The value of cos x⁰ from the information given is; g/h.

According to the task content;

The value of cos x° from the information contained in the task content is required.

From conventional Trigonometry;

It follows that tan x = sin x/cos x.

On this note, it follows that;

cos x⁰ = sin x⁰/tan x⁰.

cos x⁰ = 6/h ÷ 6/g

cos x⁰ = g/h

Ultimately, the value of Cos x⁰ by evaluation is g/h.

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Answer:

cos x° = g divided by h

Step-by-step explanation:

Using the given proportions, it is found that the joint relative frequency of high school students who ride the bus is of 0.28.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportions relative to riding the bus in this problem are of 0.15 for middle school and 0.13 for high school, for a total of 0.28, hence, the joint relative frequency of high school students who ride the bus is of 0.28.

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The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)². It is translated 1 unit left and stretched vertically by a factor of 3.

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)²

We need to find how the parent function transformed to produce the graph of y = 3(x+1)².

The parent graph is shifted 1 unit towards the left by the rule of transformation.

[tex]f(x) = f(x+1)[/tex]

By applying this rule then,

[tex]y(x) = f(x+1)^2[/tex]

Now, the parent function stretched vertically 3 times the previous graph  by the rule

[tex]f(x) = 3f(x)[/tex]

Apply this rule then, we get

[tex]y(x) = 3(x+1)^2[/tex]

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Answer:

s = 156.25 square meters

Step-by-step explanation:

s = 2lw + 2lh + 2wh

s = 2(5.5)(3) + 2(3)(7.25) + 2(5.5)(7.25)

s = 33 + 43.5 + 79.75

s = 156.25 square meters

Answer:

We know,

[tex] \quad [/tex][tex]{\boxed{ \rm{Surface \: Area_{ \: (rectangular \: prism)} = 2(lb + bh + hl)}}}[/tex]

where,

[tex] \: [/tex]

[tex] {\longrightarrow { 2 ( 5.5 \times 3 + 3 \times 7.25 + 7.25 \times 5.5 ) }} [/tex]

[tex] \longrightarrow [/tex] 2 ( 16.5 + 21.75 + 39.875 )

[tex] \longrightarrow [/tex] 2 ( 78.125 )

[tex] \longrightarrow [/tex] 156.25

Thus, The Surface Area of rectangular prism is 156.25cm².

[tex] \rule{200pt}{2pt} [/tex]

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{ \sf{\pmb{ \blue{More \: Formula}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

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Answer: y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5.

Answer:

last option, x = -1

Step-by-step explanation:

[tex]x^{2} + 2x + 1 = 0\\x_{1} = \frac{-2 + \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{2} = \frac{-2 - \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{1} = \frac{-2 + \sqrt{0} }{2}\\x_{2} = \frac{-2 - \sqrt{0} }{2}\\x = \frac{-2}{2} \\x = -1[/tex]

The value of x by using the Quadratic Formula is,

⇒ x = - 1

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

Equation is,

⇒ x² + 2x + 1

Now, We can use the Quadratic Formula for x as;

⇒ x² + 2x + 1

⇒ x = - 2 ± √2² - 4×1×1 / 2

⇒ x = - 2 ± √4 - 4 / 2

⇒ x = - 2 / 2

⇒ x = - 1

Thus, The value of x by using the Quadratic Formula is,

⇒ x = - 1

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