Help me for this question

Answer: False

Step-by-step explanation:The potential energy will decrease and the kinetic will increase

a) A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.

b)No, she cannot buy 2 adult tickets and 7 child tickets.

Mathematical equations are relationships between two expressions that are equal on both sides of the equal to sign. An equation is, for instance, 3y = 16.

Given,

Maymont Middle School is selling tickets for the winter musical. Adult tickets cost $5 each and child tickets cost $3 each.

a) Mathematical equation:

represents the total cost, t, for a adult tickets and c child tickets

t = $5a + $3c

A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.

b) Ciera has $28.

a = 2 c = 7

Equating values in equation,

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

= $10 + $27

= $37

No, she cannot buy 2 adult tickets and 7 child tickets.

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Answer:

212 feet fallen after 7 seconds

Step-by-step explanation:

You visit the Grand Canyon and drop a penny off the edge of the cliff. The distance the penny will fall is 32ft for the first second, 62ft the next second, 92ft the third second, and so on. How far will the penny have traveled after 7 seconds?

if 32 ft for 1 second

if 62 ft for 2 second

if 92 ft for 3 second

We see that the penny from second 1, falls an addition 30 ft/s.

equation: 32 + 30 (t - 1)

when t = 7 seconds:

32 + 30 (7 - 1)

32 + 30 (6)

32 + 180

= 212 feet fallen after 7 seconds

The sentence that describes a benefit of short-term disability insurance is D. It provides 40% to 60% of the policyholder’s income for up to one year.

Short-term disability insurance is meant to cover a portion of a person's wages in the event that they get injured such that they are unable to work and earn a salary in that time.

The short-term disability insurance policies these days generally cover about 40% to 60% of the income that the policyholder would have made in one year and so has less premiums.

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Answer:

Step-by-step explanation:

1. Put the variable as numbers in the computation. m=6 and n=6

SO:

6+6*6

2. Compute using Pemdas( Parentheses, exponets,multiplication, division, addition, subtraction)! Or order of operations!

6+36= 42

Answer: 42

Using Combination formula, total 2,24,070 ways to make a math team of 14 selected students in which consist of 8 seniors and 6 juniors.

We have following information,

total number of seniors in math club = 15

total number of juniors in math club = 11

total number of students in math club = 26

A math team of 14 students be choosen from maths club such that it consists 8 seniors and 6 juniors .

Number of ways to choose 8 seniors out of 15 seniors = ¹⁵C₈ = 485

Number of ways to choose 6 juniors out of 11 juniors = ¹¹C₆ = 462

Number of ways to select/choose a math team of 14 students consists 8 seniors and 6 juniors

= 485 × 462 = 2,24,070

Hence, the number of ways to select/choose a math team of 14 students consists 8 seniors and 6 juniors is 2,24,070..

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The events “blonde hair” and “brown eyes” are not independent.

What are independent events?

The term "independent events" refers to those whose occurrence is not reliant on another event.

When two events A and B are independent then the intersection of the two events is equal to zero. i.e. They do not have any element in common.

But from the given table we can see that the intersection of the events of  "blonde hair" and "brown eyes" exists.

Therefore, the events "blonde hair" and "brown eyes" are not independent.

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The number of  boys and girls in a class of 150 students is 90 and 60 respectively.

RATIO:

Comparing two quantities of the same units and determining the ratio tells us how much of one quantity is in the other.

i.e., it shows how many times a number contains another.

Total number of students = 150

ratio of boys to girls = 3 : 2

B:G = 3 : 2

now

3x + 2x = 150

5x = 150

x = 30

the number of boys = 3x = 3 X 30 = 90 boys.

the number of girls = 2x = 2 X 30 = 60 girls.

The number of  boys and girls in a class of 150 students is 90 and 60 respectively.

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Answer:

x^3 + 64 + 11x - 20bxy - 80by

(if I am wrong, apologies)

Answer:

x^2+4x-5

Step-by-step explanation:

x^3+8x^2+11x-20/x+4=x^2+4x-5

Answer:

Im gonna assume its counter clockwise (excuse the bad drawing)

Step-by-step explanation:

The vertices of triangle F'G'H' after a rotation of 180° about (-3, -6) are F'(0, 10), G'(5, 6) and H'(2, 4).

Rotations are transformations that turn a shape around a fixed point. To rotate a shape we need: a centre of rotation. an angle of rotation (given in degrees) a direction of rotation – either clockwise or anti-clockwise.

Given that, triangle FGH has vertices F(-3, 4), G(2, 0), and H(-1, -2).

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

So, (x, y) → (x+3, y+6)

F(-3, 4) → (-3+3, 4+6) → F'(0, 10)

G(2, 0) → (2+3, 0+6) → G'(5, 6)

H(-1, -2) → (-1+3, -2+6) → H'(2, 4)

Therefore, the vertices of triangle F'G'H' after a rotation of 180° about (-3, -6) are F'(0, 10), G'(5, 6) and H'(2, 4).

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Answer:

domain: [tex](-\infty, \infty)[/tex]

range: [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

You can put any real number into [tex]x[/tex] and get any real number out oft the function [tex]f(x)[/tex]

Answer: 2 + 0.3 +  0.05 + 0.006

Step-by-step explanation: You just have to technically un add the stuff of you understand it that way.

Hope i helped you

Have a great day Darling

The plane which is parallel to the line WXT is UVZW

two segments parallel to VU is ST and WX

two segments skew to XY is UT

two segments skew to VZ is YU and TX

Lines that are always the same distance apart in a plane are said to be parallel. Lines that are parallel never cross. Lines that cross at a straight angle (90 degrees) are said to be perpendicular.

Given : The quadrilateral prism

Parallel lines means lines which does not interact and run parallel meaning they have equal distance between them.

The plane which is parallel to the line WXT is UVZW

two segments parallel to VU is ST and WX

two segments skew to XY is UT

two segments skew to VZ is YU and TX

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Answer:

Step-by-step explanation: step 5
they have not proved the ASA postulate i.e. they the are missing a step to proove angle BEF = angle CED (Verticle angles)
so, correct answer is step number 5 and reason 'missing prior step'

Answer:

Step-by-step explanation:

5.40/12= 0.45

6.72/16=0.42

Answer:

The 16 pack

Step-by-step explanation:

Pack 1: $5.40 for 12

Pack 2: $6.72 for 16

Therefore the 16 pack is the better buy because you purchase an extra 4 sodas for $0.03 less.

Answer:

a) 6 km

b) 66 km

Step-by-step explanation:

a) According to the graph:

To find how much further, subtract the distance cycled those two days:

22 - 16 = 6 km

b) The three days he cycled the most are the three days with the highest lines on the graph, so that would be:

Add them all up to find the total distance cycled:

24 + 22 + 20 = 66 km

Answer:-454/539

Step-by-step explanation:32.34(s+1)=5.1

                                            32.34s+32.34=5.1

                                            32.34s=5.1-32.34

                                            32.34s=-27.24

                                            s=-454/539

The rate of the passenger train is 60mph.

We know that,

Speed = Distance / Time

Time = Distance / Speed

s = speed of passenger train

speed of freight train = (s - 20)

T = 240 / s

T = 160 / (s-20)

240 / s = 160 / (s-20)

240(s - 20)/s(s - 20) = 160s/s(s - 20)

240(s - 20)/s(s - 20) - 160s/s(s - 20) = 0

240(s - 20) - 160s = 0s(s - 20)

240s - 4800 - 160s = 0

80s - 4800 = 0

80s = 4800

Hence the speed of the freight train is 40mph, while the speed of the passenger train is 60mph.

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About [0.7479, 0.8091] of medical malpractice cases are abandoned or dismissed, according to the estimate with a 95% confidence level.

A confidence interval is a method for estimating a population parameter, such as the population proportion, at a given level of confidence, using the sample statistic, such as the sample proportion, and the confidence coefficient, such as the critical value.

arbitrary sample size, n = 1228

number of those who were dropped or dismissed, x = 856

The sample percentage of later discarded or dropped, p = 956 / 1228 ≅ 0.7785

Level of confidence = 0.99

Level of significance α = 0.01

The population proportion's 99% confidence interval estimate is calculated as follows:

p ± [tex]z_{a/2}[/tex] * [tex]\sqrt\frac{p (1 - p)}{n}[/tex]

Using the Excel function or the z-distribution table for calculation

[tex]z_{a/2} = z_{0.01/2} = z_{0.005}[/tex]

=NORMSINV(0.05)

[tex]z_{0.01/2}[/tex] ≅ ±2.58

The interval's computation is as follows:

0.7785 ± 2.58 * [tex]\sqrt\frac{0.7785 (1 - 0.7785)}{1228}[/tex]

= 0.7785 ± 2.58 * 0.0118

= = 0.7785 ± 0.0306

(0.7479, 0.8091)

As a result, the estimate of the proportion of medical malpractice claims that are withdrawn or dismissed at a 99 percent confidence interval is roughly [0.7479, 0.8091].

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The domain and the range of a function have the concepts given as follows:

The domain of a function or of a relation is the set that contains all possible input values. Hence, among possible representations, we have that:

The range of a function or of a relation is the set that contains all possible output values. Hence, among possible representations, we have that:

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Answer: To find the vertex: use formula x= -b/2a.

plug x into the given equation to find y value.

now you have (h,k)

find a point on the graph and plug in to the vertex form equation to find "a"

Step-by-step explanation:

Answer:

7^{2} + x^{2} = 16^{2}

49+x^2=256

x^2=207

x=14.387=14

Answer:

14 units

Step-by-step explanation:

To find the length of the other leg of a right triangle, where one leg is 7 units long and the hypotenuse is 16 units long, use Pythagoras Theorem.

Pythagoras Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the legs.  

Let the legs of the right triangle be "a" and "b", and the hypotenuse be "c". Therefore:

[tex]\begin{aligned}a^2+b^2&=c^2\\a^2+7^2&=16^2\\a^2+49&=256\\a^2+49-49&=256-49\\a^2&=207\\\sqrt{a^2}&=\sqrt{207}\\a&=14.3874945...\\a&=14\;\sf(nearest\;whole\;number)\end{aligned}[/tex]

Therefore, the length of the other leg is 14 units (rounded to the nearest whole number).

The person can make 60 trips.

Let us say that A indicates the major sea Islands and B indicates the major lakes. Taking both the cases as events, we will use multiplication principle. Based on the information, the event A occurs in m ways and the event B will occur in n ways. So, the two events will occur in m×n ways.

Thus, A × B = 5 × 12

Performing multiplication on Right Hand Side of the equation to find the number of trips

Total number of trips = 60

Hence, there are 60 trips that could be made.

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The required expression for the fenced region is lw = 650.

Given that,
A homeowner wants to fence in a rectangular space in her yard along one side of her house for her dogs. the total area she can fence in is 650 square feet.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Let the length of the area be l and the width of the area be w,
The total area she can fence in is 650 square feet.
lw = 650

Thus, the required expression for the fenced region is lw = 650.

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