Question 4 (10 points)
(05.06 MC
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:
Motion of Ant
10
Distance
from Holes
o
P
R
2
1 2 3 4 5 6 7
Time (sec)
Part A is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing decreasing and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph (5 points)

Answer: B and D

Step-by-step explanation: 40 * 20 = 800 and 40 * 27 = 1,080

The point (20 , 800)  and ( 27 , 1080 )lies on the line.

Option (b) and (d) is correct.

It is given that average bill totals for given numbers of diners at Simone's restaurant.

To find which points will lie on the line you get.

Coordinates are distances or angles, represented by numbers, that uniquely identify points on surfaces of two dimensions (2D) or in space of three dimensions ( 3D ).

The rate is constant.

Graph this relationship with the number of people along the x-axis and bill amounts along the y axis.

y = mx + c

=> 40 =m+ c

80 = 2m + c

=> m = 40

40 = 40 + c

=> c = 0

Hence

y = 40x

x = 12 => y = 480

x = 20 => y = 800

x =24 => y = 960

x = 27 => y = 1080

x = 28 => y = 1120

Hence (20 , 800) and ( 27 , 1080 ) point lies on the line

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Answer:

The minimum sample size needed for use of the normal approximation is 50.

Step-by-step explanation:

Suitability of the normal distribution:

In a binomial distribution with parameters n and p, the normal approximation is suitable is:

np >= 5

n(1-p) >= 5

In this question, we have that:

p = 0.9

Since p > 0.5, it means that np > n(1-p). So we have that:

[tex]n(1-p) \geq 5[/tex]

[tex]n(1 - 0.9) \geq 5[/tex]

[tex]0.1n \geq 5[/tex]

[tex]n \geq \frac{5}{0.1}[/tex]

[tex]n \geq 50[/tex]

The minimum sample size needed for use of the normal approximation is 50.

Answer:

U=-4.66666 sorry if this is wrong I tried though

Step-by-step explanation:

-10 + -3u = -4

-3u=-14

U=-4.66666

Answer:

LAW=WKL

By rule: ASA|SAA

Step-by-step explanation

don't know how to explain it

The triangle LAW ≅ WKL by ASA congruence property.

If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.

We have to complete each congruence statement and name the rule used if cannot show the triangles are congruent from the given information leave the triangles name blank .

The triangle LAW ≅ WKL by ASA congruence

WL = WL (COMMON SIDE)

∠ALW = ∠KWL

∠AWL = ∠KLW

Also, These statements can be noted from the image.

Therefore, The triangle LAW ≅ WKL by ASA congruence property.

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Answer:

153.86 units²

Step-by-step explanation:

From the question given above, the following data were obtained:

Pi (π) = 3.14

Radius (r) = 7 units

Area (A) =?

The area of a circle can be obtained by using the following formula:

A = πr²

A = 3.14 × 7²

A = 3.14 × 49

A = 153.86 units²

Thus, the area of the circle is 153.86 units²

Given:

The graph of an inequality.

To find:

The inequality for the given graph.

Solution:

From the given graph it is clear that the boundary line passes through two point (0,3) and (2,4). So, the equation of boundary line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{4-3}{2-0}(x-0)[/tex]

[tex]y-3=\dfrac{1}{2}(x)[/tex]

[tex]y=\dfrac{1}{2}x+3[/tex]

The shaded area lies below the boundary line and the boundary line is a solid line. So, the sign of inequality must be ≤.

The required inequality is

[tex]y\leq \dfrac{1}{2}x+3[/tex]

Therefore, the correct option is B.

Answer:

8 , 5 , 5.785

Step-by-step explanation:

y^2 - x^3

first just plug in the numbers and you get

(4)^2 - (2)^3

Multiply

16-8 and this equals 8

x1 + x^3 - y^2

same pattern plug in the numbers

(3)^(1) + (3)^3 - (5)^2

multiply

3 + 27 - 25

P

E

M

D

Addition

Subtraction so do 3+27 first and you get

30 - 25 = 5

x^4 / x^3 plug it in

(6)^4 / (6)^3

multiply

1269  / 216  

divide this and you get

5.875

Answer:

I think the answer will be y=3/5x-3

Answer:

y = 3/5x - 3

Step-by-step explanation:

Slope-intercept form is y = mx + b.

For this question, all you need to do is move some stuff around!

In slope intercept form, the x is on the right side, so you would first subtract x from both sides.

3x - 5y = 15

Next, you would divide both sides of the equation by -5 to get y by itself.

-5y = 15 - 3x

Finally, rearrange the equation. y = mx + b

y = -3 + 3/5x

y = 3/5x - 3

4(m + 2) expanded is 4 x m and 4 x 2

simplified: 4m + 8

Answer:

27,280metres

Step-by-step explanation:

27*1000m+280

27,280m

Answer:

27280

Step-by-step explanation:

1km = 1000 metres

27km = 27000 metres

27000 + 280 =27280 metres

Answer: 0

Step-by-step explanation:

2(7−8.5)2−3(|3.5−5|)

=2(−1.5)2−3(|3.5−5|)

=(2)(2.25)−3(|3.5−5|)

=4.5−3(|3.5−5|)

=4.5−3(|−1.5|)

=4.5−(3)(1.5)

=4.5−4.5

=0

Answer:

33%

Step-by-step explanation:

decimal x 100

Answer:

What are the phrases?

Step-by-step explanation:

Answer:

27 divided by 6=?

=4.5

divide the 27 into 6 equal container to get the amount of ounce per container

Answer: number 14 is 30.78 x 10 to the exponent of 11

Step-by-step explanation:

you multiply 8.1 and 3.8 together which would equal 30.78 and you add the exponents together since they are being multiplied.

Answer:

The inverse of a given function

d) [tex]g(x) = \frac{1}{4} x - 3[/tex]

Step-by-step explanation:

Explanation:-

Given that f(x) = 4x + 12

  let y = 4 x + 12

     4 x = y - 12

        [tex]x = \frac{y-12}{4}[/tex]

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

we know that   y = f(x)

                   ⇒  x = f⁻¹(y)

      [tex](f^{-1} y) = \frac{1}{4} y - 3[/tex]

Put  replace 'y' in 'x'

    [tex](f^{-1} x) = \frac{1}{4} x - 3[/tex]

Final answer:-

The inverse of a given function

[tex]g(x) = \frac{1}{4} x - 3[/tex]

Answer:

D

Step-by-step explanation:

Right on edge

Answer:

$30

Step-by-step explanation:

6 people and each one buys a $5 pumpkin so we'll multiply

6x5=30 dollars

Answer:

if each person is buying one than 30 together but if there's no amount than who knows

Step-by-step explanation:

5×6=30

There are 253 girls in a school.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A school has 575 pupils.

And, There are 56% of the pupils are boys.

Here, 56% of the pupils are boys.

Hence, Percent of the girls = 100% - 56%

                                          = 44%

Since, A school has 575 pupils.

Hence, Number of girls = 44% of 575

                                     = 44/100 × 575

                                     = 253

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Answer:

a. The current national debt is roughly 27.832 trillion dollars.

b. In standard notation, this is: $27,832,000,000,000.

c. In scientific notation, this is: [tex]2.7832 x 10^{13}[/tex].

d. It grows (on average) roughly 2-3 percent per year, which, for recent years, is around 800 billion dollars per year.

I hope this helps! Please feel free to give me Brainliest if you feel this helped. Have a good day and a good rest of your 2021. :)

(image from Market Watch.)

Answer:

the current national debt is $27,800,000,000,000. this number is scientific notation equals 10^13 times 2.78. it grows around 2 percent per year.

have a good day :)

Answer: 4(x) + 7= 64 lbs

Step-by-step explanation:

Scenario 1: 4(x) + 7= 64 lbs

Scenario 2:  4(x) + 7= 64 lbs

Answer:

(2,-8)

Step-by-step explanation:

use the formula : x= -b/2a

Hope i helped :)

Answer:

The slope is 55.

Step-by-step explanation:

Slope determines the direction and the rate of increase or decrease between the two points on a surface or line.

In the question, it is given initially she is 20 miles north of her house

⇒ When x = 0 the y-coordinate is 20

So, the y-intercept is 20

Now, it is given that the rate of change is 55 miles per hour

Hence, the slope is same as 55 because it is the actual rate of change between the positions of Jennifer with time.

Answer:

Answer b) : crossing the x-axis at -2 and 3

Step-by-step explanation:

The roots will be located at the crossing of the graph with the x-axis at the points (-2, 0) and (3, 0).

Therefore, the correct answer is that labeled b)

Answer:

They will meet in 7 hours.

Step-by-step explanation:

They are traveling toward each other, which means that their relative speed is the sum of their speeds.

Bill travels 20 mph and Michael travels 14 mph

This means that their relative speed is of 20 + 14 = 34 mph, that is, they get 34 miles closer each hour.

Michael and Bill are 238 miles apart, how long until they meet?

Each hour, they will be 34 miles closer. How many hours for 238 miles?

1h - 34 miles

x h - 238 miles

By rule of three

[tex]34x = 238[/tex]

[tex]x = \frac{238}{34} = 7[/tex]

They will meet in 7 hours.

Answer:

y=-2x

Step-by-step explanation:

Answer:

I believe it $6.67

Not sure, sorry!

Step-by-step explanation:

-- there is an equation to find this: (2n + 1) + (2n + 3) = (whatever number is given as their sum)

use the equation: 2n + 1 is an odd interger, 2n + 3 is the next odd integer.

(2n + 1) + (2n + 3) = 88

add like terms.

4n + 4 = 88

4n = 84

n = 21

now plugin.

2(21) + 1

42 + 1

= 43 (the first odd integer)

this means the second one would be 45.

answer: 43 and 45

add them to check:

43 + 45 = 88