One square corral at a stable has an area of 625 ft2. If one side of the corral is along a barn, how much of the barn’s wall is used for the edge of the corral? A 25 ft B 50 ft C 100 ft D 200 ft

[tex]x^2-2x+20=0\implies D=b^2-4ac<0\implies x_1,x_2\notin\mathbb{R}[/tex].

There are no real solutions to the quadratic equation.

Hope this helps.

Answer:

48 mph.

Step-by-step explanation:

You need to calculate the average. So,

42 + 54 = 96

Because there are two quantities, 42 and 54, divide 96 by 2.

The average speed is 48.

Answer:

12

Step-by-step explanation:

Answer: 32 copies of hardcover version.

Step-by-step explanation: Suppose the quantity of hardcover version copies sold is H and the paperback copies is P.

1) A store sells a total of 70 copies:

H + P = 70

2) One hardcover is sold for $15 and one paperback for $11.50. In one month was charged $917:

15H + 11.5P = 917

Solving the system of equations:

H + P = 70 (I)

15H + 11.5P = 917 (II)

Since it is asked for the hardcover version, find H.

Multiply equation (I) by -11.5:

-11.5H - 11.5P = - 805 (III)

Add (II) and (III):

-11.5H - 11.5P = - 805

  15H + 11.5P = 917

  3.5H            = 112

H = 32

In one month, it was sold 32 hardcover version of a book.

Answer:

Below

Step-by-step explanation:

Let x be that missing number

One third of it is x/3

One-ninth of it is x/9

Multiply x/3 and x/9

● (x/3)*(x/9) = (x^2/27)

● (x^2/27) = 108

Multiply both sides by 27

● (x^2/27)*27 = 108*27

● x^2 = 2916

● x = √(2,916) or x = -√(2,916)

● x = 54 or x = -54

So there are two possibilities 54 and -54.

a1/3×1/9=!08

if you multiply you should get 1/27a=108

in order to let a alone multiply both sides by 27

and now your a which is unknown will equal 2916.

Answer:

? = 33

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan ? = opp / adj

tan ? = 13/20

Take the inverse tan of each side

tan ^-1 tan ? = tan ^-1 ( 13/20)

? = 33.02386756

To the nearest degree

? = 33

Answer:

33.

Step-by-step explanation:

inverse tan (13/20) = 33.023867579302

Answer:

-5

Step-by-step explanation:

Given the two box plots showing the number of seconds the students completes the 50-meter-dash race before and after the program, we are to determine the difference between the median value of seconds before and after the program.

Median in a box plot is represented by the vertical line that divides the rectangular box in a box plot.

Thus, the median before the program = 15 seconds

The Median after the program = 10 seconds

The median change = 10 - 15 = -5 seconds.

This means, after the program, most of the students now finish the 50-meter-dash faster, about 5 seconds less the former seconds used before the program.

Answer:

-5

Step-by-step explanation:

i did it on Imagine Math and i got it correct!

Answer:

The 500th term is 3,517

Step-by-step explanation:

Here in this question, we are given an explicit formula to calculate the 500th term of the sequence

The formula to use is ;

a + (n-1)d

where a refers to the first term which is 24 in this case, while d is the common difference which is the difference between success terms and that is 52-45 = 45-38 = 7 and finally n is 500

Now we make a substitution into the formula and we have

24 + (500-1)7

= 24 + (499)7

= 24 + 3493 = 3,517

Answer:

D is correct one

Step-by-step explanation:

The pattern consists of repeating 4 faces

1000 is fully divisible by 4

The 1000th face ends the pattern of 4

The next, 1001th one is the very first face

Correct choice is D

The correlation coefficient r is always between -1 and 1, inclusive of both endpoints. We can write [tex]-1 \le r \le 1[/tex]

If r = 0, then we have no linear correlation at all. If r = 1, then we have perfect positive correlation. If r = -1, then we have perfect negative correlation.

We see that r = 0.9 is close to r = 1, so we have strong positive linear correlation going on here.

Answer:

The last choice (3,2), because both lines pass through this point.

Step-by-step explanation:

For a point to be a solution to a system of linear equations, both equation's lines have to pass through that same point.

Answer: (3, 2), because both lines pass through this point

Step-by-stepexplanation:

This can be solved by substitution. The graph will show the same result.

Answer:MLK

Step-by-step explanation:

The angle that is placed sideways with <JKM is <MKL

The adjacent interior angle of a triangle are angles placed sideways with each other.

For the given diagram attached, you can see interior angles of the triangle are <LMK, <MKL and <KLM

Among the listed interior angles, the angle that placed sideways with <JKM is <MKL

Learn more on interior angles here: https://brainly.com/question/24966296

Answer:

(x + 9) (x - 7)

Step-by-step explanation:

when we put x + 9 = 0 then x = -9 as it's the root of the fuction.

same thing here: x - 7 = 0 then x = 7

Answer:

a) 10x - 14y = -4

Step-by-step explanation:

Two equations linear dependent if you can write one as a multiple of the other. It means that the equation that is a linear dependent with -5x+7y=2 is:

10x - 14y = -4

Because it can be written as:

-2(-5x+7y) = -2(2)

So, this equation is equivalent to -5x + 7y = 2

Answer:

4.5%

Step-by-step explanation:

Simple interest:

I = Prt

112.5 = 1250(r)(2)

1250r = 56.25

r = 0.045 = 4.5%

Answer: 4.5%

Answer:

a

Step-by-step explanation:

Answer:

-0.704 (corrected to 3 significant figures).

Step-by-step explanation:

Standardized score = (actual score - mean) / standard deviation

Standardized score = (60% - 65%) / 7.1%

= -0.704 (corrected to 3 significant figures).

Standardized score = (actual score - mean) / standard deviation

= (60% - 65%) / 7.1%

= -0.704 (corrected to 3 significant figures).

A regular distribution is an association of facts set in which maximum values cluster in the center of the range and the relaxation taper off symmetrically in the direction of either intense.

Peak, beginning weight, studying potential, activity satisfaction, or SAT scores are only some examples of such variables. due to the fact that commonly distributed variables are so not unusual, many statistical checks are designed for commonly disbursed populations.

Learn more about the normal distribution here: https://brainly.com/question/4079902

#SPJ2

Answer:

The answer is option B.

Step-by-step explanation:

To find Angle A we use cosine

cos ∅ = adjacent / hypotenuse

From the question

The adjacent is 14

The hypotenuse is 26

So we have

cos A = 14/26

cos A = 7/13

A = cos-¹ 7/13

A = 57.42

Hope this helps you

Answer:

57 deg

Step-by-step explanation:

(see attached for reference)

we are given a right triangle together with the lengths of one side (= 14 units) and the hypotenuse (= 26 units)

Using the trigonometry formulas, we can find angle A

cos A = adjacent length / hypotenuse

cos A = 14 / 26

A = cos⁻¹ (14/26)    (use calculator)

A = 57.42 deg

A = 57 deg (rounded to nearest whole degree)

Answer:

36

Step-by-step explanation:

9/5 = z/20

First, we have to divide what we know

9/5 = 1.8

1.8 = z/20

Next, we have to multiply both sides of the equation by 20 to cancel out the division sign

1.8•20 = z/20•20

36 = z

Answer:

[tex]\boxed{ x = 23}[/tex]

Step-by-step explanation:

=> x - 15 = 8

Adding 15 to both sides

=> x - 15 + 15 = 8 + 15

=> x = 23

Answer:

A. x = 23

Step-by-step explanation:

Step 1: Write out equation

x - 15 = 8

Step 2: Add 15 to both sides (Addition Equality)

x - 15 + 15 = 8 + 15

x = 23

Answer:

Area of the composite figure = 75.25 cm²

Step-by-step explanation:

Question (4). Given figure is a composite figure having,

(1). Right triangle STU

(2). A kite PSUV

(3). A trapezoid PQRS

Now we will calculate the area of each figure.

(1). Area of the right triangle = [tex]\frac{1}{2}(\text{ST})(\text{TU})[/tex]

                                              = [tex]\frac{1}{2}(3.5)(3)[/tex]

                                              = 5.25 cm²

(2). Area of the kite PSUV = [tex]\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})[/tex]

                                           = [tex]\frac{1}{2}(\text{PU})(\text{SV})[/tex]

                                           = [tex]\frac{1}{2}(\text{TS+RQ})(\text{SV})[/tex]

                                           = [tex]\frac{1}{2}(3.5+7)(6)[/tex] [Since SV = 2 × 3 = 6 cm]

                                           = [tex]3\times 10.5[/tex]

                                           = 31.5 cm²

(3). Area of the trapezium = [tex]\frac{1}{2}(b_1+b_2)(h)[/tex] [Where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and h is the distance between the bases]

                                           = [tex]\frac{1}{2}[(7-3)+7](7)[/tex]

                                           = [tex]\frac{77}{2}[/tex]

                                           = 38.5 cm²

Total area of the given figure = 5.25 + 31.5 + 38.5

                                                 = 75.25 cm²

Answer:

(7x^3+2y^3)(2x^3−7y^3)

Answer: A. 51%

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex] , where r = radius of the circle.

In the figure below, we have the complete question.

According to that,

Radius of outer circle = 7ft

Radius of inner circle = 5ft

The probability that the thumbtack will be placed on the inner circle

[tex]=\dfrac{\text{Area of inner circle}}{\text{Area of outer circle}}\\\\=\dfrac{\pi (5)^2}{\pi (7)^2}\\\\=\dfrac{25}{49}[/tex][π is canceled from numerator and denominator

in percent, [tex]\dfrac{25}{49}\times100=51.0204081633\%\approx51\%[/tex]

So, the probability that the thumbtack will be placed on the inner circle = 51%

Hence, the correct option is A. 51%.

Answer:

3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex].

Step-by-step explanation:

x^2 = 6x - 4

x^2 - 6x + 4 = 0

Now, we can use the quadratic formula to solve.

[tex]\frac{-b\pm\sqrt{b^2 - 4ac} }{2a}[/tex], where a = 1, b = -6, and c = 4.

[tex]\frac{-(-6)\pm\sqrt{(-6)^2 - 4 * 1 * 4} }{2 * 1}[/tex]

= [tex]\frac{6\pm\sqrt{36 - 4 * 4} }{2}[/tex]

= [tex]\frac{6\pm\sqrt{36 - 16} }{2}[/tex]

= [tex]\frac{6\pm\sqrt{20} }{2}[/tex]

= [tex]\frac{6\pm2\sqrt{5} }{2}[/tex]

= 3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex]

x = 3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex].

Hope this helps!

triangle is the best answer

Answer:

Step-by-step explanation:

Answer:

m=0.5

Step-by-step explanation:

Copy the equation.

3.6m-2.7=-1.8m

Subtract 3.6m from both sides.

-2.7=-5.4m

Divide by -5.4 on both sides.

0.5

Answer:

The correct option is;

Both spreads are best described by the standard deviation

Step-by-step explanation:

The given information are;

,                                    College                       High School

High,                              20                               20

Low,                                6                                 3

Q₁,                                   8                                 5.5

Q₃,                                  18                                16

IQR,                                 10                                10.5

Median,                           14                                11

Mean,                              13.3                             11

σ,                                      5.2                             5.4

Checking for outliers, we have

College

Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7

Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33

For high school

Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25

Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75

Therefore, there are no outliers and the data is representative of the population

From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2

The difference between the low and the high is also approximately 3 standard deviations

Therefore the college spread is best described by the standard deviation

Similarly for the high school students, the IQR is approximately two standard deviations, the  difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4

Therefore the high school spread is also best described by the standard deviation.

Answer:

Both spreads are best described by the standard deviation

Step-by-step explanation:

Answer:

C. snowball sampling

Step-by-step explanation:

Snowball sampling also known as referral sampling or chain sampling is a sampling method in research where the participants in the research are recruited to find new participants. This is a non-probability sampling method because participants choose other participants through their own insight.  Just as a ball takes up more snow as it rolls by, so also this research method takes up more participants as it progresses.

So, when the field researcher who wanted to learn about a political organization's recruiting pattern begins by interviewing a participant who in turn suggests another participant, he has applied the snowball sampling method.

Step-by-step explanation:

An arithmetic sequence is given by relation as follows :

[tex]A(n)=-6+(n-1)\dfrac{1}{5}[/tex]

For the first term, put n = 1. So,

[tex]A(1)=-6+(1-1)\dfrac{1}{5}\\\\A(1)=-6[/tex]

For fourth term, put n = 4. So,

[tex]A(4)=-6+(4-1)\dfrac{1}{5}\\\\A(4)=\dfrac{-27}{5}\\\\A(4)=-5\dfrac{2}{5}[/tex]

For tenth term, put n = 10. So,

[tex]A(10)=-6+(10-1)\dfrac{1}{5}\\\\A(10)=-6+\dfrac{9}{5}\\\\A(10)=\dfrac{-21}{5}\\\\A(10)=-4\dfrac{1}{5}[/tex]

Hence, the correct option is (C).

Answer:

the answer in C)-6, -5 2/5, -4 1/5

Answer:

6x + 2(−2x + 1) = 22

Step-by-step explanation:

Answer: The answer is 6x + 2(−2x + 1) = 22