Choose the best estimate for the division problem below.
68.362/7.12
A8
B. 10
C. 13

Step-by-step explanation:

I would suggest that she studies or do a cost analysis of what it will cost her to transport to the library to request for the book and return it, if it is not expensive as compared to the cost of the book she should travel down to request for it. else she should purchase the book

Or

Fareeda can simply check if the second library has a distant library services so that the book can be either

1. Sent to her home or placement address, or

2.Scans of book chapters and articles be emailed to her.

Answer:

[tex]3x^2+2x+1[/tex]

Step-by-step explanation:

Sum means to add and second power means that the exponent is "2". So, the expression is:

=> [tex]3x^2+2x+1[/tex]

It cannot be simplified further.

Answer:

32 degrees (rounded to nearest angle)

Step-by-step explanation:

Using trigonometric ratios:

Please refer to the picture of my explanation below.

tan^-1 means inverse, so on calculator remember to use the inverse function, by shifting.

Hey Mate!!

Your answer will be below.

Step-by-step explanation:

The answer is C. Because, There's vertical asymptotes at 1 and -1. Vertical asymptotes are present where the x on the denominator is equal to 0. So, Both the values are 1 and -1 set are equal to the 0 in the denominator, So, They're both horizontal asymptotes. Good Luck!

Answer:

last one

Step-by-step explanation:

3*√(3.5 - 3) -1 = 1.12......

Answer:

[tex]\boxed{-1<F(x)<2}[/tex]

Step-by-step explanation:

x is given the value of 3 1/2 or 3.5.

When x is 3, F(x) is -1.

When x is 4, F(x) is 2.

If x is 3 1/2, then the value of F(x) is between -1 and 2.

Answer:  The range is real numbers less than 1

[1, -∞)  

Step-by-step explanation:  The range is all the y-values.  The top of the parabola (vertex) is at 1 above the x-axis. You have to look at the scale and notice that the scale is in increments of 2, The vertex is between 0 and 2. The parabola extends down to negative infinity.

Answer:

y < 1

(the < has a line underneath it)

Step-by-step explanation:

Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

c. They should be at or below the 95th percentile, which is 74.92 inches.

d. None of the above.

Answer: a. They should be between 64 and 76 inches tall.

Step-by-step explanation:

Given the following :

Assume men's height follow a normal curve ; and :

Mean height = 70 inches

Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

95% will fall between + or - 2 standard deviation of the mean.

Lower limit = - 2(3) = - 6

Upper limit = 2(3) = 6

(-6+mean) and (+6+ mean)

(-6 + 70) and (6+70)

64 and 76

The range of height of adult males in U.S. using the 95% empirical rule is 64 to 76 inches

According to the given data

The mean height for adult males in the U.S. is about 70 inches

The standard deviation of heights is about 3 inches.

Considering the data to be normally distributed

According  to the empirical rule for normal distribution we can write that

95.45% of the data lies with in the range of

[tex]\rm \mu - 2\sigma \; to \; \mu +2\sigma\\\\where \\\mu = Mean\\\sigma = Standard \; deviation[/tex]

We have to to determine that  using the Empirical Rule 95% of adult males should fall into what height range

According to the given data

[tex]\rm \mu = 70\\\rm \sigma = 3 \\[/tex]

[tex]\rm Lower \; limit \; of \; the\; range \; of\; variation\; of \; height\; range = 70 - 2(3) = 64[/tex]

[tex]\rm Upper \; limit \; of \; the\; range \; of\; variation\; of \; height\; range = 70 +2(3) = 76[/tex]

So we can conclude that the range of height of adult males in U.S. using the 95% empirical rule is 64 to 76 inches

For more information please refer to the link given below

https://brainly.com/question/25394084

Answer:

Ajay has 10 rupees and Ragu has 20 rupees.

Step-by-step explanation:

Let's say Ajay has a rupees, and Ragu has r rupees.

Ragu lends 5 rupees to Ajay.

r - 5 = a + 5

r = a + 10

Ajay lends 5 rupees to Ragu.

5(a - 5) = r + 5

5a - 25 = r + 5

r + 5 = 5a - 25

r = 5a - 30

5a - 30 = a + 10

4a = 40

a = 10 rupees

r = 5 * 10 - 30

r = 50 - 30

r = 20 rupees

Hope this helps!

Answer:

Ajay has 15 Rupees while Ragu has 45 Rupees

Step-by-step explanation:

I believe by " one five", you mean fifteen

Let the original amount that Ajay has be "a"

Let the original amount that Ragu has be "r"

If Ragu lends Ajay 15 rupees, Ragu will now have, (r - 15) while Ajay will have (a + 15)

Since both of them will have equal amount, r - 15 = a + 15

r = a + 30.............(1)

If Ajay lends Ragu 5 rupees, Ajay will have a - 5 while Ragu will have r + 5.

Since Ragu will now have 5 times the amount Ajay has, r + 5 = 5(a - 5)

r + 5 = 5a - 25

r = 5a - 30.............(2)

Equating equations (1) and (2):

a + 30 = 5a - 30

4a = 60

a = 15

Substitute a = 15 into equation (2)

r = 5(15) - 30

r = 75 - 30

r = 45

Ajay has 15 Rupees while Ragu has 45 Rupees

Answer:

a, c. d

Step-by-step explanation:

Answer:

a c d

Step-by-step explanation:

The graph on the top left.

f(x) = [tex]-4^x - 3[/tex]

That means that when x = 0...

f(0) = [tex]-4^0 - 3[/tex]

f(0) = -1 - 3

f(0) = -4

So, the function will have a point at (0, -4). We can eliminate the two graphs on the right.

When x = 1...

f(1) = [tex]-4^1 - 3[/tex]

f(1) = -4 - 3

f(1) = -7

So, the function will have a point at (1, -7). That corresponds to the graph on the top left.

Answer:

the top left

Step-by-step explanation:

just took the test

Answer:

[tex]2a - 3b + 4c = 1[/tex]

Step-by-step explanation:

Given

[tex]a^2 + b^2 + c^2 = 2(a - b - c) - 3[/tex]

Required

Determine [tex]2a - 3b + 4c[/tex]

[tex]a^2 + b^2 + c^2 = 2(a - b - c) - 3[/tex]

Open bracket

[tex]a^2 + b^2 + c^2 = 2a - 2b - 2c - 3[/tex]

Equate the equation to 0

[tex]a^2 + b^2 + c^2 - 2a + 2b + 2c + 3 = 0[/tex]

Express 3 as 1 + 1 + 1

[tex]a^2 + b^2 + c^2 - 2a + 2b + 2c + 1 + 1 + 1 = 0[/tex]

Collect like terms

[tex]a^2 - 2a + 1 + b^2 + 2b + 1 + c^2 + 2c + 1 = 0[/tex]

Group each terms

[tex](a^2 - 2a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

Factorize (starting with the first bracket)

[tex](a^2 - a -a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex](a(a - 1) -1(a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1) (a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + (b^2 + b+b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + (b(b + 1)+1(b + 1)) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)(b + 1)) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + (c^2 + c+c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + (c(c + 1)+1(c + 1)) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + ((c + 1)(c + 1)) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + ((c + 1)^2) = 0[/tex]

Express 0 as 0 + 0 + 0

[tex](a - 1)^2 + (b + 1)^2 + (c + 1)^2 = 0 + 0+ 0[/tex]

By comparison

[tex](a - 1)^2 = 0[/tex]

[tex](b + 1)^2 = 0[/tex]

[tex](c + 1)^2 = 0[/tex]

Solving for [tex](a - 1)^2 = 0[/tex]

Take square root of both sides

[tex]a - 1 = 0[/tex]

Add 1 to both sides

[tex]a - 1 + 1 = 0 + 1[/tex]

[tex]a = 1[/tex]

Solving for [tex](b + 1)^2 = 0[/tex]

Take square root of both sides

[tex]b + 1 = 0[/tex]

Subtract 1 from both sides

[tex]b + 1 - 1 = 0 - 1[/tex]

[tex]b = -1[/tex]

Solving for [tex](c + 1)^2 = 0[/tex]

Take square root of both sides

[tex]c + 1 = 0[/tex]

Subtract 1 from both sides

[tex]c + 1 - 1 = 0 - 1[/tex]

[tex]c = -1[/tex]

Substitute the values of a, b and c in [tex]2a - 3b + 4c[/tex]

[tex]2a - 3b + 4c = 2(1) - 3(-1) + 4(-1)[/tex]

[tex]2a - 3b + 4c = 2 +3 -4[/tex]

[tex]2a - 3b + 4c = 1[/tex]

Answer:

Option A.

Step-by-step explanation:

See attachment.

Basically, the reason why I left it at cm(3) was because that's the standard unit for volume, any length of measurement to the third power.

Answer:

-6/5

Step-by-step explanation:

The slope is (4 - (-2)) / (-1 - 4) = (4 + 2) / (-5) = 6 / -5 = -6/5.

Answer:

-6/5

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = (4 - -2)/(-1 -4)

   = (4+2)/ ( -1-4)

   =-6/5

Answer:

33.33%

Step-by-step explanation:

We are told that the customer paid Rs. 2034 after getting 10% discount with 13% vat on marked price (m.p.)

hence:-

2034 = m.p. × 90/100 × 113/100

m.p = (2034 × 100 × 100)/(90 × 113)

m.p. = Rs.2000

Now, due to the fact that VAT (which in this question is given to be 13%) is not the profit of the retailer, thus the selling price (s.p.) of the bag would be given by;

s.p = m.p. × 90/100

s.p = 2000 × 90/100

s.p = Rs. 1800

We are told that the retailer made a profit of 20%

Thus:-

c.p. × 120/100 = s.p.

c.p.= s.p. × 100/120

c.p.= 1800 × 100/120

c.p. = Rs.1500

Therefore, the percentage with which he marked above the c.p is;

% mark up = (m.p - c.p)/c.p) × 100

Plugging in the relevant values, we have;

(2000 - 1500)/1500) × 100

(500/1500) × 100 = 33.33%

Answer:

Step-by-step explanation:

From the circle it can be seen that the angle ∠EQD lies on the circumference of the circle. A circumference of a circle is known to be any point on the circle. Also we have central angle ∠ECD of 104°

In circle geometry, there is a theorem that states; Angle at the center of a circle is twice the angle at the circumference. Applying this theorem to the given question we can say, ∠ECD = 2∠EQD

Substituting the given value;

104° = 2∠EQD

Dividing both sides by 2

104/2 = 2∠EQD/2

∠EQD = 104/2

∠EQD = 72°

Answer: The answer is 52.

Step-by-step explanation:

Answer:

38.68 degrees

Step-by-step explanation:

In this equation you are trying to find the degrees using the hypotenuse and opposite. So you have to use the function sin^-1(5/8). Because when using Sin it is opposote ove hypotenuse.

Answer:

Depth of the milk = 4 cm

Step-by-step explanation:

In the figure attached,

Milk carton is in the shape of a cuboid having length = 8 cm, Width = 5 cm and Height = 15 cm

Depth of the milk in the carton = 12 cm

Milk inside the carton will have the same shape of cuboid, having same length and width but a different height.

Volume of the milk = volume of the cuboid shape of the milk

                                = Length × width × height

                                = 8 × 5 × 12

                                = 480 cm³

Now the carton is turned with its base on the shaded region.

By changing the base, dimensions of the milk inside the carton will change but the volume of the milk will remain the same.

New dimensions of the milk inside the carton will be,

Length = 15 cm

Width = 8 cm

Height = d cm (unknown side)

By using the formula of volume again,

V = l × b × h

480 = 15 × 8 × d

480 = 120d

d = [tex]\frac{480}{120}[/tex]

d = 4 cm

Therefore, depth of the milk in the carton will be 4 cm.

Answer:

A. the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.

B. The estimates are close to the truth about the entire population.

Step-by-step explanation:

A. According to the given data we have that it was used to interview a random sample of 34,572 people who live in Scotland, therefore, the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.

B. The estimates are close to the truth about the entire population becuase a large sample was conducted, hence we can make an aproximation that represents the population parameter.

Answer:

10 km/hr

Step-by-step explanation:

The aircraft carrier and the container ship both took 30 hours to travel their respective distances. If you divide both numbers by 30, you find that their differences is 5. We can tell that the aircraft carrier traveled 450 ÷ 30 = 15 km/hr and the container ship traveled at a speed of 300 ÷ 30 = 10 km/hr. The aircraft carrier traveled 5 km/hr faster. So, we can tell the container ship traveled at 10 km/hr.

Hope this helps! Plz give me brainliest, it will help me achieve my next rank.

Answer:

8.4 in

Step-by-step explanation:

Solution:-

- We consider the large right angle triangle namely, " XVW "

- We will recall all the trigonometric ratios that are applicable to all right angled triangles.

- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:

            Hypotenuse ( H ): Side opposite to 90 degrees angle

            Base (B): The side adjacent to the available angle ( θ )

            Perpendicular (P): The side opposite to the available angle ( θ )

- We will go ahead and mark our respective sides as follows:

            Angle ( θ ) : 34°

            Hypotenuse ( H ) : XW = 15 in

            Base ( B ) : VW

            Perpendicular ( P ) : VX

- Now recall all the trigonometric ratios studied:

           sin ( θ ) = P / H = VX / XW

           cos ( θ ) = B / H = VW / XW

           tan ( θ ) = P / B = VX / VW

- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:

                             sin ( θ ) = P / H = VX / XW

                             sin ( 34° ) = VX / 15

                             VX = 15*sin ( 34° )

                             VX = 8.387 .. ( 8.4 ) in

Answer:

1/21

Step-by-step explanation:

=> [tex]\frac{1}{7} / 3[/tex]

=> [tex]\frac{1}{7} * \frac{1}{3}[/tex]

=> [tex]\frac{1*1}{7*3}[/tex]

=> 1/21

Answer:

(5, 11) and (2, 2)

Step-by-step explanation:

y = (x-2)² + 2

y + 4 = 3x

(x-2)² + 2 + 4 = 3x

x² - 4x + 4 + 6 = 3x

x² - 7x + 10 = 0

(x - 5)(x - 2) = 0

x - 5 = 0, x = 5

x - 2 = 0, x = 2

y = (5-2)² + 2 = 11

(5, 11)

y = (2-2)² + 2 = 2

(2, 2)

Answer:

[tex]\large \boxed{\sf \bf \ \text{ The solutions are } x=2, y=2 \text{ and } x=5, y=11.} \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

We want to solve this system of equations.

[tex]\begin{cases}&y=(x-2)^2+2\\&y+4=3x\end{cases}[/tex]

This is equivalent to (subtract 4 from the second equation).

[tex]\begin{cases}&y=(x-2)^2+2\\&y=3x-4\end{cases}[/tex]

Then, we can write y = y, meaning:

[tex](x-2)^2+2=3x-4\\\\\text{*** We develop the left side. ***}\\\\x^2-4x+4+2=3x-4 \\\\\text{*** We simplify. *** }\\\\x^2-4x+6=3x-4\\\\\text{*** We subtract 3x-4 from both sides. ***}\\\\x^2-4x+6-3x+4=0\\\\\text{*** We simplify. *** }\\\\x^2-7x+10=0[/tex]

[tex]\text{*** The sum of the zeroes is 7 and the product 10 = 5 x 2 ***}\\\\\text{*** We can factorise. ***}\\\\x^2-5x-2x+10=x(x-5)-2(x-5)=(x-2)(x-5)=0\\\\x-2 = 0 \ \ or \ \ x-5 = 0\\\\x= 2 \ \ or \ \ x=5[/tex]

For x = 2, y =0+2=2 (from the first equation) and for x = 5 y=3*5-4=15-4=11 (from the second equation)

So the solutions are (2,2) and (5,11)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

[tex] y = x^2 -5x +6[/tex]

And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:

[tex] y = (x-r) (x-s)[/tex]

The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2

[tex] y=(x -2)) (x-3)[/tex]

Step-by-step explanation:

For this problem we have the following polynomial given:

[tex] y = x^2 -5x +6[/tex]

And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:

[tex] y = (x-r) (x-s)[/tex]

The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2

[tex] y=(x -2)) (x-3)[/tex]

Answer:

Step-by-step explanation:

"or" means sum, that is all x≤-2 plus all x≥3

≤-2  mens all numbers less than -2 and the -2

≥3  mens all numbers greater than 3 and the 3

Answer:

r=8.8

Step-by-step explanation:

sin 36=opp/ hyp

sin36=r/15

r= 15 sin36

r=8.8

Answer:

49π

Step-by-step explanation:

The formula for the area of a circle is,

[tex]\pi r^2[/tex]

If the radius is 7 inches we need to plug that in for r in the formula.

π(7)^2

7*7 = 49

Thus,

the area in terms of pi is 49π.

Hope this helps :)

Answer:

Step-by-step explanation:

[tex]r = 7\\A = ?\\A =\pi r^2\\A =\pi7^2\\A = 49\pi[/tex]

Answer:

(C) 1809 in.2

Step-by-step explanation:

Took the test on edg :3

Answer:

The numerical limits for a B-grade is between 81 and 92

Step-by-step explanation:

Here in this question, our task is to find the numerical limits for B grade. This means the range between a test taker would be scored a B grade

Please check attachment for complete solution and explanation