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Answer:

Step-by-step explanation:

Let

x = cost per mile

y = Total cost

Plan 1:

y = 59 + 0.15x

Plan 2:

y = 50 + 0.20x

Equate the total cost of the two plans

59 + 0.15x = 50 + 0.20x

59 - 50 = 0.20x - 0.15x

9 = 0.05x

x = 9/0.05

= 180

x = 180 miles

y = 50 + 0.20x

= 50 + 0.20(180)

= 50 + 36

= 86

y = 86

Answer:

Closed side up : 5/50

1/50 = open side up

44/50 = landing side

experimental probablity Formula:

no. of times event was conducted/ Total no. of times experiment was conducted.

Let's first start with open side up.

No. times it was conducted was 1.

Total no times experiment conducted:  50 times

1/50 = open side up

Closed side up

No. times it was conducted was 5

Total no times experiment conducted:  50 times

5/50

The same for landing on side :

44/50

Have a wonderful day!!

The experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side) is  given as:

[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.

For the given case, if we name the events for results of tossing of paper cup as:

Then, as it is given that:

Number of times paper cup was tossed = 50

Thus, their experimental probabilities are obtained as:

[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]

Learn more about experimental probability here:

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Answer:

134.1

Step-by-step explanation:

Area of the circle = 49π = 153.9 (rounded to the nearest tenth)

Segment area,

49/2(150π/360-sin(150))

= 19.8 (rounded to the nearest tenth)

Subtracting them,

153.9-19.8

= 134.1 cm²

Answered by GAUTHMATH

The area of the shaded region is 134.1 cm²

'A segment of a circle is the region that is bounded by an arc and a chord of the circle.'

According to the given problem,

Area of the circle = πr²

                              = π × 7 × 7 cm²

                              = 153.9 (rounded to the nearest tenth)

Area of the Shaded region,

= [tex]\frac{r^{2} }{2}( \frac{angle in degrees * \pi }{360 - sin(angle in degrees)} )[/tex]

=[tex]\frac{49}{2}(\frac{150\pi }{360 - sin(150)})[/tex]

= 19.8 (rounded to the nearest tenth)

Subtracting them,

= 153.9 - 19.8

= 134.1 cm²

Hence, we can conclude that the area of the shaded region is 134.1cm²

Learn more about segment of a circle here: https://brainly.com/question/4910703

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r h==ptgggggggggggggggggggggggggggggggggggggggggggggggggggtnnnnnnn

Answer:

0 =-4.5X +49.5

x = 11

Step-by-step explanation:

x1 y1  x2 y2

1 45  3 36

(Y2-Y1) (36)-(45)=   -9  ΔY -9

(X2-X1) (3)-(1)=    2  ΔX 2

slope= -4  1/2    

B= 49  1/2    

Y =-4.5X +49.5    

Answer:

4√3

Step-by-step explanation:

5√27-2√48-5√3-(√3-2√3)2

= 5√(3x9)-2√(3x16)-5√3-2√3+4√3

= 5(3)√3-2(4)√3-5√3-2√3+4√3

= 15√3-8√3-5√3-2√3+4√3

= 4√3

Answer:

Step-by-step explanation:

We know that the thickness of the lake decreases at a rate of 0.2 meters per week, so we can write:

S(t)=-0.2t+4

we also know that after 7 weeks, the sheet is only 2.42 meters thick, which means we can write:

S(7)=2.42

S(7)=-0.2*7+X

S(7)=-1.4+X

2.42=-1.4+X

X=3.82

So, the function is: S(t)=--0.2*t+3.82

Answer:

y = 3.8 - 0.2x

Step-by-step explanation:

Khan Academy

Answer:

option 3

Step-by-step explanation:

Given

3x + 5 + 7x + 2 ← collect like terms

= (3x + 7x) + (5 + 2)

= 10x + 7 → option 3

According to the question

=3x + 5+7x + 2

Combining Like terms

= (3x + 7x) +(5+2)

= 12x + 7

Therefore the correct option is third

10x + 7

Answered by Gauthmath must click thanks and mark brainliest

Answer:

La altura de la antena es 4.054 metros.

Step-by-step explanation:

La altura del objeto es perpendicular a la longitud de la sombra, tanto el triángulo rectángulo de la antena como el triángulo rectángulo de Marta son semejantes. La altura de la antena se determina mediante la siguiente relación:

[tex]\frac{h}{l} = \frac{H}{L}[/tex] (1)

Where:

[tex]h[/tex] - Altura de Marta, en metros.

[tex]l[/tex] - Longitud de la sombra de Marta, en metros.

[tex]L[/tex] - Longitud de la sombra de la antena, en metros.

[tex]H[/tex] - Altura de la antena, en metros.

Si sabemos que [tex]h = 1.65\,m[/tex], [tex]l = 1.16\,m[/tex] y [tex]L = 2.85\,m[/tex], entonces la altura de la antena es:

[tex]H = h\cdot \left(\frac{L}{l} \right)[/tex]

[tex]H = 1.65\,m \times \left(\frac{2.85\,m}{1.16\,m} \right)[/tex]

[tex]H = 4.054\,m[/tex]

La altura de la antena es 4.054 metros.

Answer:

The length of each hot dog is 0.5000 inches.

Step-by-step explanation:

Total number of hot dogs eaten = 7 000 000 000

Circumference of the earth = 24 860 miles

21.5 times the circumference of the Earth = 21.5 x 24 860 miles

                                                = 534490 miles

But,

1 mile = 5280 feet

So that,

534490 miles = X

X = 5280 x 534490

   = 287707200 feet

Also,

1 feet = 12 inches

Then,

287707200 feet = Y

Y = 12 x 287707200

   = 3452486400 inches

Thus,

the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]

                     = 0.4932

The length of each hot dog is 0.5000 inches.

Answer:

10/3

Step-by-step explanation:

rate of change = gradient

(17-7)/(6-3) = 10/3

basically difference of y values / difference of x values

Answer:

[tex]y = \frac{1}{4}x -2[/tex]

Step-by-step explanation:

Step 1:  Find the standard form of the equation

The equation that was given made no sense so I will recreate the entire equation using the point slope formula.

Use the point slope formula

[tex]y - y_{1} = m(x - x_{1})[/tex]

[tex]y - (-3) = m(x - (-4))[/tex]

[tex]y +3 = m(x + 4)[/tex]

Find the slope

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m = \frac{1-(-3)}{12-(-4)}[/tex]

[tex]m = \frac{1+3}{12+4}[/tex]

[tex]m = \frac{4}{16}[/tex]

[tex]m=\frac{1}{4}[/tex]

Combine them together

[tex]y +3 = \frac{1}{4}(x + 4)[/tex]

Convert to standard form

[tex]y +3 = \frac{1}{4}x + 1[/tex]

[tex]y +3 - 3 = \frac{1}{4}x + 1 - 3[/tex]

[tex]y = \frac{1}{4}x -2[/tex]

Answer:  [tex]y = \frac{1}{4}x -2[/tex]

If two parallel lines are intersected by a transversal, then internal opposite angles are equal.

So, x° = 61°

=> x = 60

Because they are internal opposite angles.

Answer:

? = 32.20422

Step-by-step explanation:

We know the adjacent side and the hypotenuse

cos ? = adj / hyp

cos ? = 33/39

cos ? = 11/13

Taking the inverse cos of each side

cos ^ -1( cos ?) =  cos^-1(11/13)

? = 32.20422

Answer:

1. a) x^2 + 6x + 27

b) 4x^2 - 4x + 1

c) x^2 - 4y^2

d) x^3 + 6x^2 + 12x + 8

e) x^3 - 9x^2 + 27x - 27

Answer:

P.=2(2x+5)+2(x-10)=80cm

6x-10=80

x=90/6=15cm

Area= L*W= 35*5=175 squared cm= 0.0175 squared m

Cost= 0.24 * 0.0175 = GHc 0.0042

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.  The cost of weeding the rectangular plot is 0.0042 GHc.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

A.) The perimeter of a rectangular plot of land whose length is (2x+5) and width is (x-10) is 80cm. Therefore, we can write,

Perimeter of the rectangel = 2(L+W)

80 = 2[(2x+5)+(x-10)]

80/2 = 2x+5+x-10

40 = 3x -5

40+5 = 3x

x = 15

Hence, the value of x is 15.

B.) The length of the rectangle = (2x+5) = 2(15)+5 = 35 cm = 0.35 m

The width of the rectangle = (x-10) = 15-10 = 5 cm = 0.05 m

Now, the area of the rectangle = L×B = 0.35m × 0.05m  = 0.0175m²

C.) Given the cost of weeding 1m² is 0.24, therefore, the cost of weeding the rectangular plot is

Cost = 0.0175 × 0.24 = 0.0042 GHc

Hence, the cost of weeding the rectangular plot is 0.0042 GHc.

Learn more about Rectangle:

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Answer:

3x+ 7 =49

Step-by-step explanation:

49-7= 42

42 divided by 3 = 14

her daughter is 14 years old

I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.

have a great day!

Answer:

12

Step-by-step explanation:

Add 10l to 12l to13l to11l to 14l=60l the divide 60l by the number of houses which will be 12 and there is your correct answer

Answer:

C

Step-by-step explanation:

f is neither even nor odd

Answer:

yes

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

[tex]50 N[/tex]

Step-by-step explanation:

To help us find our answer, we need to use Newton's Second law

[tex]F = m \times a[/tex]

Where F is the force (N), m is the mass (Kg) and a is the acceleration (m/s^2, on a planet this would just be the gravity)

So if we know that a person has a mass of 3Kg and weighs 30N, the acceleration (or the gravity on that planet is)

[tex]30 = 3 \times a\\a = 10 m/s^2[/tex]

Now that we know the acceleration we can easily find the weight of the person.

[tex]F = 5 * 10 = 50 N[/tex]

Answer:

50m

Step-by-step explanation:

speed (m/s2) = distance (m) ÷ time (s)

distance = speed (m/s2) x time (s)

1x20 =20m.

30s = 30m because they do 1 meter per second (every second)

50m in total if not counting the constant for half a hour.

Step-by-step explanation:

I=PRT/100

p=I/RT×100

p=2240/10×2×100

p=11200

Answer:

SOH-CAH-TOA

[tex]\sin \left(x\right)=\frac{6}{\sqrt{49+36}}[/tex] = 40.60°

SOH = SIN = OPP/HYP

SIN(Θ) = 6/[tex]\sqrt{49+36 }[/tex]

Step-by-step explanation:

Answer:

108 degrees

Step-by-step explanation:

The formula for the total sum of the angles in any REGULAR shape is

[tex](n-2) * 180[/tex],  where n represents the number of sides.

The shape in the picture shown is a pentagon (5 sides).

[tex](5-2) * 180\\[/tex]

[tex]3 * 180[/tex]

= [tex]540[/tex]

So the angle sum is 540 degrees.

Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.

So to find one angle, just divide it by the number of sides.

[tex]540/5 = 108[/tex]

Answer: 108 degrees

Step-by-step explanation:

you can go for option g cause ans is 14:5

Answer:

Out of those choices, the answer in the first image makes the most sense

Answer:

1) X = 0

2) X = 0 or X = 1

Step-by-step explanation:

1)

[tex] \sqrt{6x} + 9 + 2 = 11 [/tex]

6x = 0 since root can only be = 0 if radicand is 0

X = 0

2)

[tex] \sqrt{x} - 3 + 3 = x[/tex]

[tex] \sqrt{x} = x[/tex]

X = x^2 ( We are squaring both sides to simplify)

x-x^2 = 0

x (1-x) = 0 (Factor the expression)

X = 0 or

1 -x = 0

X = 1

Answered by Gauthmath

Answer:

either 5 or 6

Step-by-step explanation:

I can't have a direct answer because you didn't get all of the histogram in there, but from what I can conclude from just this there's definitely either 5 or 6.

Answer:

9

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

9^8 / 9^7

9^(8-7)

9^1

9