Hal and Samantha are going on a trip to the state park. They want to be out there for no more than 8 hours, and they also want to travel at least 30 miles. They can hike at a rate of 3 mph, and they can canoe at a rate of 6 mph. If the solution region is the amount of time they spend hiking and canoeing so that they can meet their goals, which graph's shaded area represents the solution region?

Answer: 0 = 23

Almost positiveee :))

Step-by-step explanation:

Step-by-step explanation: Do You Want Me To Find All The Values ?

Parallel lines intersected by a common transversal form 8 angles

The required values of y and x are;

The reasons why the above values are correct are given as follows:

Given the lines are parallel lines cut by a common transversal, we have;

Angles with measure (2·y - 1)° and (9·x - 38)° are same side interior angles

Angles with measure (4·x + 23)° and (2·y - 1)° are alternate interior angles

Which gives;

(2·y - 1)°+ (9·x - 38)° = 180°...(1)

(4·x + 23)° = (2·y - 1)°...(2)

From equation (1), we get;

y = 109.5 - 4.5·x

From equation (2), we get;

y = 2·x + 12

The common solution is given by; 109.5 - 4.5·x = 2·x + 12

From 109.5 - 4.5·x = 2·x + 12, we get;

x = 15,  

6) (9·x + 42)° and 15·x° are vertical angles, and therefore are equal

(9·x + 42)° = 15·x°

∴ x = 7

(4·y - 13)° and (9·x + 42)° are supplementary, therefore

(4·y - 13)° = (9·x + 42)°, which gives;

(4·y - 13)° = (9×7 + 42)° = 105°

7) (3x + 11) + (x + 21) = 180

∴ x = 37

(14·y - 4)° = 3x + 11 = 3 × 37 + 11 = 122°

8) (13·x - 33) = 10·x

∴ x = 11

10·x + 5·y = 180

10 × 11 + 5·y = 180

[tex]y = \dfrac{70^{\circ}}{5} = 14^{\circ}[/tex]

9) (27·x + 4) + (8·x + 1) = 180

∴ x = 5

y + 10 = 8·x + 1 = 8 × 5 + 1 = 41

y = 41 - 10 = 31

10) 16·x - 4 = 9·x - 6 + 58 = 9·x + 52

7·x = 56

x = 8

11) (6·x - 58)° + (x + 8)° = 90°

7·x - 50 = 90

7·x = 90 + 50 = 140

[tex]x = \dfrac{140}{7} = 20[/tex]

12) 7·x - 7 = 3·x + 45°

4·x = 52

[tex]x = \dfrac{52}{4} = 13[/tex]

x = 13°

(3·x + 45)° + 63° + (y - 6)° = 180°

(3×13 + 45)° + 63° + (y - 6)° = 180°

147 + (y - 6)° = 180°

Learn more about the angles formed between parallel lines here:

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Answer:

z = -5/4

Step-by-step explanation:

divide both of the sides by -8

z = -10/8

then you would simplify 10/8 to 5/4

z equals -5/4

Answer:

0.982

Step-by-step explanation:

Use your calculator to find the trigonometric ratio sin 79°

Answer: 0.982

Answer:

11 sq. units

Step-by-step explanation:

Find the area of the rectangle first, then find the area of the three white triangles.

Area of the rectangle

= 6×5

= 30 sq. units

Total area of the three white triangles

= (4×5)÷2 + (2×3)÷2 + (6×2)÷2

= 19 sq. units

The area of the rectangle minus the total area of white triangles:

Area of the green triangle

= 30-19

= 11 sq. units

Answer:

7 x 7 x 8 = 392

15 x 7 x 7(14 - 7) = 735

735 + 392 = 1,127 in^3 is your answer.

Let's split the figure:

Answer:

w = 1.2 or 6/5

Step-by-step explanation:

math

Answer:

A general rule for functions of the general form:

y = A*x^n

is:

dy/dx =  n*A*x^(n - 1)

Then, for the function:

y^2 = 4*a*x

Then we can rewrite this as:

y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)

Then we have:

A = √(4*a)

n = 1/2

Now we can use the above rule to get

dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)

dy/dx = (1/2)*√(4*a)*x^(-1/2)

dy/dx = (1/2)*√(4*a/x)

dy/dx = √(1/4)*√(4*a/x)

dy/dx = √( (1/4)*4*a/x)

dy/dx = √(a/x)

Answer:

Step-by-step explanation:

since RS || VU   ( parallel to )   then the angle V is equal to ∠ VRS , also we are given that ∠VRT = 71°  so subtract  ∠VRT from ∠VRS

103° - 71° = 32°

so ∠TRS = 32°

next find ∠U,  we know that ∠U + ∠VRT= 180°  ( b/c they are supplementary )

we are also told that  ∠VRT = 71°

∠U = 180 - 71

∠U = 109°

Since RS || VU (parallel to) then the angle V is equal to VRS, also we are given that VRT = 71°

So subtract VRT from VRS,

103° -71° = 32°

So, TRS = 32°

next find U, we know that ZU + ZVRT= 180° (b/c they are supplementary)

We are also told that <VRT = 71"

U = 180° - 71°

U = 109° is the answer.

Answer:

on a graph will (-5, -7) be found Quadrant III.

Answer:

triangle area = 24

rectangle areea = 32

figure area = 56

Step-by-step explanation:

Answer: The answer is 8

Step-by-step explanation:

Have a good day and stay safe out there! <3

Answer:

image

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation is a parabola, that opens up downwards,  and the point from which Sarah throws the ball is 5 feet off the ground.  so set the height to zero ( when the ball reaches the ground )  and solve for t

0 = -16[tex]t^{2}[/tex] + 18t + 5

use quadratic equation :)

-b +- sqrt([tex]b^{2}[/tex] - 4ac) / 2a

-18 +- sqrt[ [tex]18^{2}[/tex] - 4 (-16)(5) ] / 2(-16)

-18 +- sqrt[324 +320 ] / -32

-18 +- sqrt[644] / -32

-18 +- 25.377155 / -32

do the positive choice :

-18 + 25.377155 / -32

7.377155  / -32

-0.2305  ( so this answer would be where the ball would hit the ground if the arc extended down to the ground behind where Sarah throws the ball from. so this answer doesn't count in our domain. Because it's before Sarah throws the ball)

do the negative choice:

-18 - 25.377155 / -32

1.355536  ( this answer looks good, about 1.35 seconds for the ball to fly , this was more of a toss than a throw. )

t = 1.4 seconds ( rounded to nearest 10th )

Answer:

Obtuse

Step-by-step explanation:

Right = has angle measure of 90°

Acute = has angle measure less than 90°

Equilateral = 2 or more angles whose angle measures are congruent to others

Circle = measures 360°

Obtuse = Angle measure greater than 90° and less than 180°

Hope this helps!

Answer:

h = 4.22 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pie * r^2 * h

We have it that the radius is 6 cm

V = pie * 6^2 * h

for the sphere, we have it that;

V = 4/3 * pie * r^3

V = 4/3 * pie * 4.5^3

We can proceed to equate both volumes;

pie * 6^2 * h = 5/3 * pie * 4.5^3

pie on both sides cancel out

6^2h = 5/3 * 4.5^3

36h = 151.875

h = 151.875/36

h = 4.22 cm

Answer:

Step-by-step explanation:

let the fraction be x denominator and x-2 be its numerator

according to question

5/6=x-2/x

do cross multiplication

6(x-2)=5x

6x-12=5x

6x-5x=12

x=12

therefore the fraction is

x-2/x

12-2/12

10/12

Answer:

y=-x+3

Step-by-step explanation:

To find slope, you would want to use the formula for slope which is y=mx+b.

we are basically isolating the "y". So to find slope we would just subtract the "x" from both sides, leaving use with a negative "x" plus 3 on one side and a y on the other.

Answer:

B) 9/10

Step-by-step explanation:

Answer:Im not sure maybe 3

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Slope Formula: Y2 - Y1/ X2 - X1

Function A: 15 + 25/ 4 + 4 = 5; Slope = 5

Function B: 4 - 2/ 3-2 = 2; Slope = 2

The slope of Function A is greater than the slope of Function B.

Answer:

Cadence has 18 more green eyed dolls

Step-by-step explanation:

1. 52-16=36

2. 36÷2=18

The number of dolls that have blue eyes and green eyes will be 34 and 18, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Rhythm has an assortment of 52 dolls that all have either blue-eyes or green-eyes. Rhythm has 16 additional blue-looked-at dolls than green-peered dolls.

Let 'x' be the number of blue-eyes dolls and 'y' be the number of green-eyes dolls. Then the equations are given as,

x + y = 52           ...1

x = y + 16           ...2

From equations 1 and 2, then we have

y + 16 + y = 52

2y = 52 - 16

y = 36 / 2

y = 18

The value of x is given as,

x = 18 + 16

x = 34

The number of dolls that have blue eyes and green eyes will be 34 and 18, respectively.

More about the solution of the equation link is given below.

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Answer:

Step-by-step explanation:

Answer: i have no idea

Step-by-step explanation: what’s even the answer your looking for?

Answer:

C

Step-by-step explanation:

on C 1 ice cream cost $1.2 if you multiply 1.2x12=14.4

THE CORRECT ANSWER IS...

C ($9.59 for 8 scoops)

Step-by-step explanation:

well, if you divided 14.89 by 12 it equals $1.24. so that means it's $1.24 for one single scoop for that one. then for B if you divided $7.99 by 5, you'd get $1.60, so that's $1.60 per scoop for B. lastly $9.59 divided by 8 is $1.20, which is the lowest price per scoop, so that makes it the best and most affordable one. i hope i explained that easily, but basically all in all, the answer is C.

The correct answer is in BOLD.

1.24 (A)

1.60 (B)

1.20 (C)

hope this helped! if you could please mark me brainliest that would be amazing, have a great day!

Using the normal distribution, it is found that:

A. There is a 0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

B. 81.85% of students scores are between 69 and 78.

C. The student scored in the 99.87th percentile.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, as:

[tex]\mu = 75, \sigma = 3[/tex].

Item a:

The probability is one subtracted by the p-value of Z when X = 81, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{81 - 75}{3}[/tex]

Z = 2.

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

Item b:

The proportion is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 69, hence:

X = 78:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78 - 75}{3}[/tex]

Z = 1.

Z = 1 has a p-value of 0.8413.

X = 69:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 75}{3}[/tex]

Z = -2.

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

81.85% of students scores are between 69 and 78.

Item c:

The percentile is the p-value of Z when X = 84, multiplied by 100, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{84- 75}{3}[/tex]

Z = 3.

Z = 3 has a p-value of 0.9987.

The student scored in the 99.87th percentile.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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Answer:

C

Step-by-step explanation:

Answer:

A. -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Common difference of an arithmetic sequence=t2-t1

=39-45

=-6

Answer:

2^r=x

Step-by-step explanation: