Meril Starts driving at 14 00​

a, a² + 1 and a + 6 are all in arithmetic progression, in which there is a fixed difference d between consecutive terms. This mean we have

a² + 1 = a + d

a + 6 = a² + 1 + d

Eliminate d and solve for a :

(a² + 1) - (a + 6) = (a + d) - (a² + 1 + d)

a² - a - 5 = -a² + a - 1

2a² - 2a - 4 = 0

a² - a - 2 = 0

(a - 2) (a + 1) = 0

a - 2 = 0   or   a + 1 = 0

a = 2   or   a = -1

Step-by-step explanation:

here is your answer

hope it help u

Answer:

16

Step-by-step explanation:

2(8 - 4) 2

first, you'll subtract 4 from 8 to get 4.

Next 2 X 4 X 2

Multiply 2 and 4 by doing that you'll get 8

lastly 8 X 2

Multiply 8 and 2 to get your answer 16.

Pls mark brainiest pls

Answer: 3/4

Step-by-step explanation:   Find the reciprocal of the divisor

Reciprocal of 20/27: 27/20

Now, multiply it with the dividend So, 5/9 ÷ 20/27 = 5/9 × 27/20=  5 × 27/9 × 20 = 135/180

After reducing the fraction, the answer is

3/4

Answer:

4:12pm

Step-by-step explanation:

85 minutes = 1 hour and 25 minutes

2:47pm  + 1 hour 25 minutes = 3:72 pm

72 minutes = 1 hour 12 minutes so add another 1 hour to 3 and the balance is 12 minutes so walk ends at 4:12pm

Another way to look at it is as follows:
After 13 minutes, the time is 2:47 + 0:13 = 3pm

Remaining time left is 85-13 = 72 minutes = 1 hour: 12 minutes. Add that to 3pm and you get 4:12pm

Answer:

10:4

Step-by-step explanation:

it can be simplified

We can actually deduce here that the honey to oats ratio that doesn't follow the pattern in the table is: 10:4.

Ratio actually refers to the way that two or more numbers are compared in relation to their size to each other. It shows how much of one number is found in another.

From the honey to oats ratio, we can see that the pattern goes thus:

This is because 10 - 3 = 7

Then 15 - 7 = 8

Therefore, the ratio that doesn't follow the pattern is 10:4.

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Answer:

Divide each term in

D

C

G

=

145

°

by

C

G

and simplify.

D

=

145

°

C

G

Step-by-step explanation:

ty

Answer:

41.87 cm²

Step-by-step explanation:

Area of shaded region :

Answer: 7.62

Step-by-step explanation:

[tex]AB=\sqrt{(-2-1)^{2}+(-3-4)^{2}}=\sqrt{9+49}=\sqrt{58} \approx 7.62[/tex]

Answer:

  -2.71

Step-by-step explanation:

This exponential equation can be solved by rewriting it so there is only one base, then using logarithms.

__

  2^x = 3^(x+1) . . . . . given

  2^x = 3·3^x . . . . . . eliminate the constant in the exponent

  (2/3)^x = 3 . . . . . . . divide by 3^x

  x·log(2/3) = log(3) . . . . take logarithms

  x = log(3)/log(2/3) ≈ -2.7095113

The value of x is about -2.71.

__

Alternate solution

Taking logarithms transforms this exponential equation to a linear equation.

  x·log(2) = (x +1)·log(3) . . . . take logs

  x(log(2) -log(3)) = log(3) . . . . . . subtract x·log(3)

  x = log(3)/(log(2) -log(3)) = log(3)/log(2/3) . . . . . same result as above

_____

Additional comment

In the attached, we have used a graphing calculator to find the x-intercept of the function f(x) = 0, where f(x) = 2^x -3^(x+1). This is the solution to the given equation.

The applicable rules of logarithms are ...

  log(a^b) = b·log(a)

  log(a/b) = log(a) -log(b)

If we evaluate the function at infinity, we can immediately see that:

        [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}} = \frac{\infty}{\infty}} \end{gathered}$}[/tex]

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

By comparison of infinities:

We first expand the binomial squared, so we get

                         [tex]\large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}[/tex]

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

Dividing numerator and denominator by the term of highest degree:

                            [tex]\large\displaystyle\text{$\begin{gathered}\sf L = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4 }{x^{3}-5 } \end{gathered}$}\\[/tex]

                                [tex]\ \ = \lim_{x \to \infty\frac{\frac{x^{4} }{x^{4} }-\frac{x^{2} }{x^{4}}+\frac{4}{x^{4} } }{\frac{x^{3} }{x^{4}}-\frac{5}{x^{4}} } }[/tex]

                                [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} } }{\frac{1}{x}-\frac{5}{x^{4} } } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}[/tex]

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.

[tex]\stackrel{\textit{Half-Angle Identities}}{cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos\left( \cfrac{45^o}{2} \right)\implies \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos(22.5^o)[/tex]

Answer:

462

Step-by-step explanation:

Base=π × r²

=> π × 3.5²

=>38.48

Volume:

Base times height

=>38.48 x 12

=>461.81

Answer:

Step-by-step explanation:

Given ;

Volume of cylinder = π2²h

Volume of the cylinder is 426m².

Answer:

Ur question is wrong..

Step-by-step explanation:

In a survey of 100 people, 60 like farming and 65 like civil service?

60+65=125..?

The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.

It does not have an edges or vertices.

It is given in the question that

A cylinder with height 14 feet and radius 25 feet.

The volume of a cylinder.

V = π252(14)

The water than can be filled is equal to the volume of the cylinder

V = 11088 cu.ft

There  the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

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Answer: 27,488.94 cubic feet

Step-by-step explanation:

A book store is hosting a special night in which families can enjoy a story and craft time. The ticket have been sold so far would be 75.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have given that 45 children's tickets have been sold, being 60% of the total tickets having been sold.

So, we have to solve for x:

60% × x = 45

60/100 × x = 45

Multiplying both sides by 100 and dividing both sides by 60,

x = 45 × 100/60

x = 75

Thus, the ticket have been sold so far would be 75.

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Explanation:

Divide the number of times blue came up (114) over the number of spins total (180). Ignore the 60% given to you. That's a theoretical value that doesn't play any part in determining an experimental probability.

114/180 = 0.633 approximately

The '3's go on forever. Round that however your teacher instructs.

De vergelijking moet je gelijk zetten aan 0. Vervolgens bereken je discriminant.

Beide x zijn de snijpunten met de x-as.

-4 is de snijpunt met de y-as

Iam sorry for this language.

its dutch, you can translate it to english

Answer:

Y = 9.5

(option C)

Answer: x - int : (3,0)

Step-by-step explanation:

point-slope form: y - y1 = m(x - x1)

m = y2-y1/x2-x1

   = -4-2/-3-6

   =-6/-9

   = 2/3

y1 = 2

x1 =6

y - 2 = 2/3(x-6)  

x -int: when y = 0, what is x?

0-2 = 2/3(x-6)

-2 = 2/3x - 4

2 = 2/3x

x=3

~Hope this helps!~

The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b

An equation is an expression that shows the relationship between two or more variables or numbers.

Two lines are said to be perpendicular if the product of their slopes is equal to -1.

The slope of the line:

2x - 5y = 7

5y = 2x - 7

y = (2/5)x - 7

The slope of the line 2x - 5y = 7 is 2/5. The slope of the line perpendicular is -5/2

Hence:

The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b

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The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

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multiply the height x the length x the width to find the volume of a room (or another 3d object)

The exponential regression equation that fits the data is D. y = 8.04.0.98​ˣ.

The quickest way is probably to do direct substitution. First, let's try f(0). The values of y predicted by the four equations are, respectively, 3.14, 5.32, 10.84, and 8.46.

From here, it looks like C and D are the closest to the observed data. Let's try f(4) on C and D.

10.84(1.77)⁴ = 10.84 × 9.815 = 106.4

8.46(3.51)⁴ =  8.46 × 151.4 = 1284

Therefore, the exponential regression equation that fits the data is y = 8.04.0.98​ˣ.

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If the parent graph is transformed to x^2 + 6, this shows that the parent function translated 6 units up the graph to create the graph x^2+6

These are graph with function of leading degree of 2. The parent function for a quadratic graph is x^2

f(x)= x^2

If the parent graph is transformed to x^2 + 6, this shows that the parent function translated 6 units up the graph to create the graph x^2+6

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Answer:

x = 129°

Step-by-step explanation:

∠ ABD and ∠ DBC are a linear pair and sum to 180° , then

y + ∠ DBC = 180°

107° + ∠ DBC = 180° ( subtract 107° from both sides )

∠ DBC = 73°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then

x = ∠ DBC + z = 73° + 56° = 129°

The probability of drawing a white marble on the first draw, followed by a black marble on the second is 4/15

The distribution of the marbles is given as:

White = 6

Black = 4

When the white marble is drawn, the probability is:

P(White) = 6/10

Now, there are 9 marbles left.

When the black marble is drawn, the probability is:

P(Black) = 4/9

The required probability is:

P = 6/10 * 4/9

Evaluate

P = 4/15

hence, the probability is 4/15

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The equation of the red graph, g(x) is g(x) = |x| - 5

The graph that completes the question is added as an attachment

The function f(x) is given s:

f(x) = |x|

From the attached graph, we can see that the function f(x) is shifted 5 units down to get to g(x).

This means that:

g(x) = f(x) - 5

Substitute f(x) = |x|

g(x) = |x| - 5

Hence, the equation of the red graph, g(x) is g(x) = |x| - 5

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From the solution, Kevin made an error in step 3 by adding 2 and 3 instead of multiplying 6 and 2. The correct solution is 66

Given the expression solves by Kevin below;

75 - 6 (8 - 6) + 3

Step 2: Simplify the expression in parenthesis

75 - 6(2) + 3

Step 3: Solve the product (PEMDAS)

75 - 12 + 3

75 - 9

Step 4: 66

From the solution, Kevin made an error in step 3 by adding 2 and 3 instead of multiplying 6 and 2

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Answer:

C

Step-by-step explanation: