1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO

Answer: [tex]x = \pm2\sqrt{7}\\\\[/tex]

Work Shown:

[tex]x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\[/tex]

This can be rewritten into [tex]x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}[/tex]

Answer:

C. [tex]-x-6>-3.5[/tex]

Step-by-step explanation:

One is asked to find which inequality has ([tex]x=-3[/tex]) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.

Simplify each of the inequalities, then evaluate to see which one has ([tex]x=-3[/tex]) as a part of its solution set.

A. [tex]-x -6<-3.5[/tex]

[tex]-x<2.5[/tex]

[tex]x>-2.5[/tex]

B. [tex]-x-6>3.5[/tex]

[tex]-x>9.5[/tex]

[tex]x<-9.5[/tex]

C. [tex]-x-6>-3.5[/tex]

[tex]-x>2.5[/tex]

[tex]x<-2.5[/tex]

D. [tex]x-6>-3.5[/tex]

[tex]x>2.5[/tex]

As can be seen, option (C [tex]-x-6>-3.5[/tex]) is the only one that fits this requirement. Since option (C) simplifies down to ([tex]x<-2.5[/tex]) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).

Answer:

(x+12, y-24)

Step-by-step explanation:

The rule is (x, y) -> (x+12, y-24)

Step-by-step explanation:

3x+5x+4+3

=8x+7

hope it helps

Answer:

6x+7

Step-by-step explanation:

x+4+5x+3

Combine like terms

x+5x   +4+4

6x+7

Answer:

its 1,2,4,5

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

Arc PQ is congruent to arc SR. TRUE

The measure of arc QR is 150°. TRUE

The circumference of circle C is 20π cm. FALSE

Arc PS measures about 13.1 cm. TRUE

Arc QS measures about 15.7 cm. TRUE

Answer:

D

Step-by-step explanation:

I really think the answer is D

Answer:

your answer is B.

Step-by-step explanation:

mode is 76, mean is 79, the median is 76.

Answer:

D

Step-by-step explanation:

The absolute value of a number is the actual distance of the number from zero. So, it is always a positive number. No negative value.

A) I -4.5I = 4.5    TRUE

B) I 0I  < I -45I   TRUE  

Reason: 0 < 45

C) I 45 I > 0         TRUE

D) I4.5 I > I - 45 I     FALSE

Reason: 4.5is not greater than 45

Answer:

D

Step-by-step explanation:

Answer:

i) 2.58

ii) We reject the claim

Step-by-step explanation:

The number of subjects in the ginkgo treatment group, n₁ = 1,545

The number of subjects in the placebo group, n₂ = 1,524

The number that developed dementia in the ginkgo group = 246

The number that developed dementia in the placebo group = 277

The proportion that developed dementia in the ginkgo group, [tex]\hat{p}_1[/tex] = 246/1,545 = 82/515

The proportion that developed dementia in the placebo group, [tex]\hat{p}_2[/tex] = 277/1,524

The null hypothesis is H₀; [tex]\hat{p}_1[/tex] = [tex]\hat{p}_2[/tex]

The alternative hypothesis is Hₐ; [tex]\hat{p}_1[/tex] ≠ [tex]\hat{p}_2[/tex]

The z-test statistic is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

Therefore, we get;

[tex]Z=\dfrac{\dfrac{82}{515} -\dfrac{277}{1,524} }{\sqrt{\left (\dfrac{\dfrac{82}{515} \times \left(1 - \dfrac{82}{515} \right) }{1,545}+\dfrac{\dfrac{277}{1,524} \times \left (1 - \dfrac{277}{1,524} \right)}{1,524} \right )}} \approx -1.66[/tex]

From the the p-value at z ≈ -1.66 is p = 0.04846.

i) The z-Critical at 0.01 significant level is 2.58

ii) Given that the p-value, 0.04846, is larger than the significant level, 0.01, the p-value is not significant, and we fail to reject the null hypothesis

There is sufficient statistical evidence to suggest that there is no difference in the proportion of the subject on the ginkgo treatment and the proportion of the subject on the placebo treatment that have dementia, we therefore reject the claim that the herb ginkgo biloba is effective for the treatment of dementia.

Answer:

5

Step-by-step explanation:

(x+5)(x-3)=20

x=5

Answer:

The distance from the plane to the airport is around 245.57 feet.

Step-by-step explanation:

Angle of depression = 7 degrees

Height  (Vertical portion of a right-angle triangle) = 2,000 feet

We are looking for the base of the right-angle triangle, which represents the distance from the plane to the airport. Therefore, we must use SOH or CAH or TOA to help us determine the length of the base. In this case, it is most convenient to use TOA:

tanΘ=[tex]\frac{Opposite}{Adjacent}[/tex]

Rearrange the equation to solve for 'Opposite':

Opposite=(tanΘ)(Adjacent)

Opposite=(tan[7])(2,000)

Opposite=0.12278456*2,000

Opposite=245.5691218 feet

Thus, the distance from the plane to the airport is around 245.57 feet.

Answer:

Step-by-step explanation:

6 + 2 = 4,  given

6 + 5 = 11, correct

Answer:

9/49

Step-by-step explanation:

4 purple beads and 3 green beads= 7 beads

P( green) = green = total = 3/7

Replace the bead

4 purple beads and 3 green beads= 7 beads

P( green) = green = total = 3/7

P( green , replace, green) = 3/7 * 3/7 = 9/49

Answer:

1. D

2.C

3. E

4.A

Step-by-step explanation:

the guy above or below me is incorrect.

Answer:

x = 2y

Step-by-step explanation:

we don't need to do complicated trigonometric conversions. just try to express x by a term of y (or vice versa) and look.

so, starting with x = 2y.

if that is the case, then what is our equation looking like ? is it true ?

sin(2y - y)/sin(y) + cos(y - 2y)/cos(y) = 2

sin(y)/sin(y) + cos(-y)/cos(y) = 2

1 + cos(-y)/cos(y) = 2

cos(-y)/cos(y) = 1

cos(-y) = cos(y)

and yes, this is indeed true for all y. cos decreases from 1 to -1 with the increase of the absolute value of the angle from 0 to 180 degrees (meaning we could go up or down the same angle from 0, and cos would be the same), and then increases again to +1 for the increase of the absolute value of the angle from 180 to 360 degrees. and then it all starts again. and again, and again, ...

so, since the original equation is true under the assumption x=2y, this must be the correct option.

Answer:

Step-by-step explanation:

Reference angle in quadrant I,

θ' = θ

Reference angle in quadrant II,

θ' = 180° - θ

Reference angle in quadrant III,

θ' = θ - 180°

Reference angle in quadrant IV,

θ' = 360° - θ

13). θ = 315°

Since, the given angle is in the 4th quadrant,

Reference angle θ' = 360° - 315°

                                 = 45°

14). θ' = (620° - 540°)

         = 80°

Reference angle = 80°

15). θ' = 630° - θ

          = 630° - 580°

          = 50°

Reference angle = 50°

Answer:

0.23923444976

Answer:

65

Step-by-step explanation:

1=5

13=x

1x=5x13

1x=65

divide both sides by 1

x=65

Answer:

(-2, -9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinates (x, y)

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x³ - 1

x = -2

Step 2: Evaluate

Answer:

  (a)  no solution

Step-by-step explanation:

Writing the second equation in slope-intercept form, it becomes ...

  3x -y = 2 . . . . given

  y = 3x -2 . . . . add y-2 to both sides

The first equation is already in slope-intercept form:

  y = 3x +3 . . . . first equation

The coefficients of x in the two equations are both 3, so the lines they describe are parallel. They do not intersect, so there is no solution.

Answer:6

Step-by-step explanation: The rules of exponential says (a^x)^y=a^xy.

Therefore you will multiply 1/4 with 4 to get an exponent of 1. So the answer is 6^1 which is also written as 6

you have to plug in the x value to discover the y

y= 4.3 x 1

y = 4.3

so, the ordered pair is (1, 4.3)

hope it helps :)

Step-by-step explanation:

we see, for x=-1 we get 3³

x=0 we get 3²

x=1 we get 3¹

so the function is definitely a 3 to the power of x version.

but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".

the easiest way : 2-x as exponent.

it fits.

for x=-1 we get 2 - -1 = 3 as exponent.

for x=0 we get 2-0 = 2 as exponent.

for x=1 we get 2-1 = 1 as exponent.

so, the exponential function passing through these 3 points is

[tex]f(x) = {3}^{2 - x} [/tex]

Answer:

see below

Step-by-step explanation:

           x+5

y = ----------------------

        x^2 - 2x+1

Since the degree of numerator < degree of denominator ( 1 < 2) there is a horizontal  asymptote: y = 0

I assume you're supposed to establish the identity,

cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

Then you have

sin(8A) = 2 sin(4A) cos(4A)

sin(8A) = 4 sin(2A) cos(2A) cos(4A)

sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)

==>   sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)

as required.

Step-by-step explanation:

hello you then good mujhe samajh mein nahin a rahi hai sorry

Answer:

1.432

2. 8978

Step-by-step explanation:

Answer:

48.5 ft

Step-by-step explanation: