The function f(x)
o 95 miles; f(3) represents the total distance remaining after 3 hours.
represents the total distance traveled after 3 hours.
O 95 miles; f(3)
O 165 miles; f(3)
represents the total distance remaining after 3 hours.
O 165 miles; f(3)
represents the total distance traveled after 3 hours.
= 260 - 551
represents the distance, in miles, remaining on a trip z hours into the trip. What is the value of f(3), and what does it represent?

Answer:

Step-by-step explanation:

Inverse variation equation:

The equation is:

Answer:

y = -39/x

Step-by-step explanation:

Formula we use,

→ y = k/x

→ k = xy

Now the value of k will be,

→ k = xy

→ k = 13 × (-3)

→ [ k = -39 ]

Then the inverse equation is,

→ y = k/x

→ -3 = -39/13

→ [ y = -39/x ]

Hence, the answer is y = -39/x.

Answer:

x=14

Step-by-step explanation:

Lines RP and MQ intersect, creating 2 pairs of vertical angles. Vertical angles are congruent.

<RSQ and <PSM are vertical angles and therefore congruent

163=3x+9x-5

x=14

If FC bisects ∠ACD and ∠ACD is a straight angles, then proved that the ∠ACF is a right angle

The ∠ACD is a straight angles

We know the angles on a straight line add up to 180 degree

Therefore,

The measure of angle ACD = 180 degrees

Here it is given that the line FC bisects angle ACD

Therefore, The angle ACF is equal to Angel DCF

Angle ACF = Angel DCF

Angle ACF + Angle DCF = 180 degrees

Then,

Angle ACF = Angel DCF  = 90 degrees

Hence, if FC bisects ∠ACD and ∠ACD is a straight angles, then proved that the ∠ACF is a right angle

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Number of winning tickets =7 and Number of losing tickets = 28. When there are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1:4

Given: Total tickets = 35

The ratio of winning tickets to losing tickets = 1:4

Number of winning tickets = [tex]\frac{1}{1+4} *35[/tex]

[tex]\frac{1}{5} *35=7[/tex]

Number of losing tickets = [tex]\frac{4}{1+4} *35[/tex]

[tex]\frac{4}{5} *35[/tex]

4×7=28

Hence, Number of winning tickets =7 and Number of losing tickets = 28.

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The value of x is given by 13.

The above angle of the triangle is vertically opposite to the angle 110.

So, the above not mentioned angle of triangle is = 110.

We know from Angle sum property of a triangle that the sum of all interior angles of a triangle is 180.

So, from the given figure we can write that,

110 + 57 + x = 180

167 + x = 180

x = 180-167

x = 13

Hence the value is, x=13.

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One possible pair of next terms: 0, 1

A second possible pair of next terms: 14, 32

What is arithmetic progression?

What is Geometric progression?

The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.

The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.

Any pair of numbers can be used that is not (14, 20) or (32, 128).

The next two terms could be 0 and 1, or they could be 14 and 32.

 2, 8, 0, 1 . . . is a sequence of no particular type

 2, 8, 14, 32 . . . is a sequence of no particular type

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Step-by-step explanation:

A two sigma confidence interval is created whenever our alternate hypothesis does not equal a value.

For example if

[tex]h_{o} = 0.36[/tex]

and

[tex]h _{a} ≠0.36[/tex]

We used a two sigma confidence interval because we are thinking a portion is either below 0.36 or above 0.36.

When solving these probability for the p value, multiply the inital result by 2 to get the p value

The 2 sigma confidence interval is a principle that states that a result will be considered significant if 95% of the population is two standards deviation from the average value.

The two-sigma confidence level states that 95% of the values obtained in the results from a population should be within2 deviations from the mean. Anything below this acceptable percentage is not considered the 2-sigma confidence level.

If 68% of the score are within 1 standard deviation from the mean, then that will be considered the 1-sigma rule. If 99.7% of the score is 3 standard deviations from the mean then we can refer to that as the 3-sigma confidence interval.

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Answer:

5.131 × 10¹⁴  Hz

Step-by-step explanation:

Planck relation

[tex]\large\boxed{E = hf}[/tex]

where:

Given values:

Substitute the given values into the formula and solve for f:

[tex]\implies 3.4 \times 10^{-19}=(6.626 \times 10^{-34})f[/tex]

[tex]\implies f=\dfrac{3.4 \times 10^{-19}}{6.626 \times 10^{-34}}[/tex]

[tex]\implies f=\dfrac{3.4}{6.626} \times \dfrac{10^{-19}}{10^{-34}}[/tex]

[tex]\implies f=0.5131\times 10^{(-19-(-34))}[/tex]

[tex]\implies f=0.5131 \times 10^{15}[/tex]

[tex]\implies f=5.131 \times 10^{14}[/tex]

Work Shown:

h(x) = |x+10|

h(-17) = |-17+10|

h(-17) = |-7|

h(-17) = 7

Answer:

[tex] \dfrac{7x + 15y}{21} [/tex]

Step-by-step explanation:

[tex] \dfrac{1}{3}x + \dfrac{5}{7} y = [/tex]

[tex] = \dfrac{7}{21} x + \dfrac{15}{21} y [/tex]

[tex] = \dfrac{7x + 15y}{21} [/tex]

Answer:

C. Two complex solutions.

Step-by-step explanation:

[tex]1. \ 9x^2+4=0;\\x^2=-\frac{4}{9};\\x=_-^+ \frac{2}{3} i;[/tex]

2. two complex solutions, the correct answer is C.

Answer:

1491

Step-by-step explanation:

Based on the given conditions, formulate

 Rearrange unknown terms to the left side of the equation

Calculate the sum or difference

Divide both sides of the equation by the coefficient of variable

Cross out the common factor:get the result

4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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Answer:

240

Step-by-step explanation:

20%×5=100

48×5=240

Answer:

20% of 240 is 48.

Step-by-step explanation:

Forming the equation,

→ (x/100) × 20 = 48

Now the value of x will be,

→ (x/100) × 20 = 48

→ (20x/100) = 48

→ x/5 = 48

→ x = 48 × 5

→ [ x = 240 ]

Hence, the answer is 240.

Answer:

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>>Mayank made a bird - bath for his garden

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Mayank made a bird-bath for his garden in the shape of cylinder with a hemispherical depression at one end as shown in figure. The height of the hollow cylinder is 1.45 m and its radius is 30 cm. Find the total surface area of the bird-bath. (Take π=22/7)

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Updated on : 2022-09-05

Solution

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Verified by Toppr

Let r be the common radius of the cylinder and hemisphere and h be the height of the hollow cylinder.

Then r=30cm;h=1.45m=145cm

Total surface are of the bird-bath = curved surface area of the cylinder + curved surface area of the hemisphere

=2πrh+2πr

2

=2π(h+r)

=2×

7

22

×30(145+30)cm

2

=3.3m

2

Answer:

250b calories in b, bars 15c calories in c, carrots

Step-by-step explanation:

Answer:

{60,63,87}

Step-by-step explanation:

The value of x is 33

What other external angles are there?

The alternate exterior angle theorem states that when two parallel lines cross, the exterior angles formed on either side of the transversal are equal. The distance between two intersecting lines or surfaces at or around their meeting point is referred to as the angle.

Since (2x - 30°) and (x+3)° are alternate exterior angles, they will be equivalent to one another.

(2x - 30)° = (x+3)°
Separate all similar phrases, then determine the value of x:
(2x - 30)° = (x+3)°
2x - x = 33 + 3
x = 33
Consequently, x will have the value of 33.

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Answer: This equation, when simplified would be x = 4

Step-by-step explanation:

That's what I believe it is

The horizontal asymptote of T(t)=0 means that the temperature will not increase above 98.6F as time elapses.

Given,[tex]T(t)=\frac{4t}{t^2+1}\\[/tex]

where, t represents time elapse it means 't' reaches to infinity

In function [tex]\lim_{n \to \infty} f(n)[/tex], f(n) is called as horizontal asymptote of the function.

then the above equation can be written as

[tex]T(t)=\lim_{t \to \infty}\frac{4t}{t^2+1}\\\\=\lim_{t \to \infty}\frac{4t}{t(t+\frac{1}{t})}\\\\=\lim_{t \to \infty}\frac{4}{(t+\frac{1}{t})}\\\\=\frac{4}{\infty +0}\\\\=0[/tex]

Hence,the horizontal asymptote of T(t) is 0 it means there is no increase in the temperature above 98.6F.

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Answer:

Multiplication property

Step-by-step explanation:

Multiply each side by 8:

m=-2

m*8=8m

-2*8=-16

8m=-16

Answer:

The solution is -35/8

Step-by-step explanation:

[tex] \sf - 1 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = \sf - \frac{4 \times 1 + 1}{4} \times \frac{2 \times 3 + 1}{2} \\ \\ = \sf - \frac{4 + 1}{4} \times \frac{6 + 1}{2} \\ \\ = \sf - \frac{5}{4} \times \frac{7}{2} \\ \\ = \sf - \frac{5 \times 7}{4 \times 2} \\ \\ = \sf - \frac{35}{8} \\ \\ = \sf - 4 \frac{3}{8} [/tex]

Rodrigo will accrue 1023.17 interest during the 4.5-year non-payment period.

The simplest way to compute interest is as a percentage of the principal. For instance, if you agreed to borrow $100 from a buddy with 5% interest, the interest you would pay would only be 5% of $100: $100(0.05) = $5. Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years.

Given,

For calculating interest:

Interest = Principal ×rate × time

Principal = 5300

Rate = 0.0429

Time = 4.5

Interest = 5300 × 0.0429 × 4.5

Interest = 1023.17

Rodrigo will accrue 1023.17 interest during the 4.5-year non-payment period.

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Answer:

the answer is number 4 okay

Answer:

it will roll on one of the sides after you roll it

The expression that is similar to [tex]\frac{2^{3} . 2^{4} }{2^{12} }[/tex] is [tex]\frac{1}{2^{5} }[/tex]

Index (indices) in Maths is the power or exponent which is raised to a number or a variable. For example, in number [tex]2^{4}[/tex], 4 is the index of 2. The plural form of index is indices. In algebra, we come across constants and variables. The constant is a value which cannot be changed.

In the expression [tex]\frac{2^{3} . 2^{4} }{2^{12} }[/tex] all the indices have a common base 2

From numerator [tex]2^{3}[/tex] x [tex]2^{4}[/tex] = [tex]2^{3 + 4}[/tex]  which [tex]2^{7}[/tex]

so since the base at the numerator is same as that at the denominator we subtract their exponents

so that we have,

[tex]2^{7 - 12}[/tex] = [tex]2^{-5}[/tex]

which can further be written as  [tex]\frac{1}{2^{5} }[/tex]

In conclusion the simplified form of the expression is [tex]\frac{1}{2^{5} }[/tex]

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Answer

500 tickets were sold

Step-by-step explanation:

Since 100 main floor tickets were sold, and each cost $7.50, we multiply it by 100 which equals $750, then since revenue was $3250, we do $3250 - $750 = $2500. Now that we got the extra tickets taken out of the way, time to find the rest. First, we add the prices of both tickets together, $7.50 + $5 = $12.50, then divide it by the remaining revenue, $2500 divided by $12.50 = 200 tickets, so 200 of each ticket were sold, + 100 main floor tickets. So now we do 300 main floor tickets + 200 balcony tickets, which is 500 tickets in total. Maybe you didn't read this but that's alright :)

The approximate present value of this future income is $23,894.

What is interest?

Interest is a fee paid for borrowing money or other assets the amount borrowed is called the principal.

The interest is expressed as a percentage rate of the principal. for a given time interval.

What is percentage?

Percentages are essentially fractions where the denominator is 100.

What is Fraction?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

Formula of interest rate r is given by ;

Present value of future income [tex]= \frac{Income}{(1 + Interest\ rate)}[/tex]

Present value of future income [tex]= \frac{\$27000}{1+0.13}[/tex]

Present value of future income = $23,894

so, the option D is correct.

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