"Marsha has 54% left on her phone. Every 1 minute her battery life decreases by 1/2%. Write an equation to represent marshas phone battery life."

Answer:20 feet every 3 seconds

Step-by-step explanation:

Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.

Here are some different types of equipment commonly used to introduce numeracy to young children:

Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.

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Answer:

NO because

Step-by-step explanation:

1/2+1/2+1/4=1 1/4

1/2=25min

25+25+12.5=62.5

It would take 62.5 min to do 1 1/4 acres

Answer:

4x - 28

Step-by-step explanation:

\(-3(4x + 3) - (2x - 5) + 6(3x - 4)\)

\(\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b\)

\(-\left(2x-5\right)=-2x+5\)

\(=-3\left(4x+3\right)-2x+5+6\left(3x-4\right)\)

\(=-12x-9-2x+5+6\left(3x-4\right)\)

\(=-12x-9-2x+5+18x-24\)

\(\mathrm{Group\:like\:terms}\)

\(=-12x-2x+18x-9+5-24\)

\(\mathrm{Add\:the\:numbers:}\:-9+5-24=-28\)

\(=-12x-2x+18x-28\)

\(\mathrm{Add\:similar\:elements:}\:-12x-2x+18x=4x\)

\(=4x-28\)

~Learn with Lenvy~

Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

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Answer:

\(3 {x}^{2} - 15x - 18 = 0\)

\( {x}^{2} - 5x - 6 = 0\)

\((x + 1)(x - 6) = 0\)

x = -1 or x = 6

The coordinates of the zeroes are (-1, 0) and (6, 0).

Answer:

Slope = 5/3

-------------------

m =  5/3

Answer:

5/3

Step-by-step explanation:

Hello, to find the slope from two given points, you use this formula- y2-y1/x2-x1. In this problem, 9 would be y2, -6 would be y1, 6 would be x2, and -3 would be x1. The equation should look like this:

9-(-6)/6-(-3)

Since both are negatives, you would add it like this:

9+6/6+3= 15/9

Now, you need to simplify this fraction which is 5/3.

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer:

1st one = not equivalent

2nd = equivalent

3rd = equivalent

4th = not equivalent

Answer:

117 ft²

Step-by-step explanation:

Surface area of triangular pyramid = base area + ½(Perimeter of base * slant height)

Base area = ½*b*h = ½*9*6 = 27 ft²

Slant height = √(6² + 4.5²) = 7.5 ft (pythagorean theorem)

Perimeter = 7.5 + 7.5 + 9 = 24 ft

Plug in the values into the formula for surface area

Surface area = 27 + ½(24 * 7.5) = 117 ft²

Answer:

Step-by-step explanation:

I'm guessing we are missing a piece of the question such as the average speed at which Nadeem can ride. Let's call it v

distance is a product of velocity and time

d = vt

t = d/v

so if v is in miles/hr, an inequality could be

12/v ≤ t ≤ 15/v

Answer:

63 pushups

Explanation:

On October 1, the number of pushups = 18

On October 2, the number of pushups = 21

On October 3, the number of pushups = 24

We have the number pattern: 18, 21, 24, ...

We observe that:

18+3 = 21; and

21+3 = 24

Therefore, this is an arithmetic sequence where:

• The first term, a = 18

• The common difference, d= 3

October 16 will be the 16th day since she started, therefore: n=16

We are to determine the 16th term of the sequence.

For an A.P.

Therefore, the 16 term will be:

Nadia will do 63 pushups on October 16th.

The system of inequalities is:

5x + 10y ≥ 900 (total ticket sales must be at least $900)

x + y ≤ 130 (total number of tickets sold must be at most 130)

One possible solution is x = 70 (student tickets) and y = 60 (adult tickets).

To write a system of inequalities based on the given information, we can consider the revenue from ticket sales and the seating capacity of the auditorium:

Let x represent the number of student tickets sold, and y represent the number of adult tickets sold.

Revenue inequality:

The drama club must make no less than $900 from ticket sales, so the revenue equation is: 5x + 10y ≥ 900. This equation ensures that the total revenue from ticket sales is at least $900.

Seating capacity inequality:

The auditorium can hold at most 130 people, so the total number of tickets sold cannot exceed this limit: x + y ≤ 130.

To solve this system of inequalities graphically, we plot the inequalities on a graph. The shaded region where the inequalities overlap represents the feasible region or the possible solutions.

One possible solution within this feasible region could be x = 70 (student tickets) and y = 60 (adult tickets). This combination satisfies both inequalities and fulfills the revenue requirement of at least $900.

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Answer:

No

Step-by-step explanation:

Since a polygon has straight sides, with 3 or more, it cannot be a polygon since one side is curved.

A square root function that is represented by the graph include the following: A. f(x) = √(4x + 8).

In Mathematics and Geometry, a square root function can be defined as a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

Therefore, the required square root function is given by;

f(x) = √(4x + 8)

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Answer:

A)P(A ∩ B) cannot be equal to 0.5.

B)P(A ⋃ B) = 0.7

C)P[(A ∪ B)'] = 0.3

D)P(A ∩ B') = 0.3

E)probability that the selected student has exactly one of these two types of cards = 0.4

Step-by-step explanation:

A) We want to find out if P(A ∩ B) = 0.5

Now, this value is not possible because the probability of intersection of two events can not be greater than the probability of each individual event.

We are told that P(A) = 0.6 and P(B) = 0.4.

Due to the fact that the probability of B is less than 0.4 which is less than 0.5, It means that the intersection of A and B can't be greater than 0.4.

Thus, P(A ∩ B) cannot be equal to 0.5.

B) Now, P(A ∩ B) = 0.3

The probability that the selected student has at least one of these two types of cards would be P(A ⋃ B)

Now, this is expressed as;

P(A ⋃ B) = P(A) + P(B) − P(A ∩ B)

Thus,

P(A ⋃ B) = 0.6 + 0.4 - 0.3

P(A ⋃ B) = 0.7

C) Probability that the selected student has neither type of card would be expressed as; P[(A ∪ B) ' ]

Thus is further expressed as;

P[(A ∪ B) ' ] = 1 − P(A ∪ B)

P[(A ∪ B)'] = 1 - 0.7

P[(A ∪ B)'] = 0.3

D) We want to describe in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.

This is simply an intersection of event A and compliment of event B. Thus, it implies that we we will remove the events when student has both types of cards from the events of A. This probability is expressed as P(A ∩ B')

Thus gives;

P(A ∩ B') = P(A) - P(A ∩ B)

P(A ∩ B') = 0.6 - 0.3

P(A ∩ B') = 0.3

E) Now, we want to find the probability that the selected student has exactly one of these two types of cards.

This is simply the addition of intersection of event A with compliment of event B and intersection of event B with compliment of event A . The probability is given by:

P(A ∩ B') + P(A' ∩ B)

Expanding this gives;

P(A ∩ B') + P(B) - P(A ∩ B)

Plugging in the relevant values gives;

0.3 + 0.4 - 0.3 = 0.4

Applying the angles of intersecting chords theorem, the value of x in the first figure is: x = 7.

If two chords of a circle intersect, the angles of intersecting chords theorem states that, the measure of the angle formed equals 1/2(sum of the measure of the arcs which are intercepted.

Thus, we can use the angles of intersecting chords theorem to find missing angles or value of x in the questions given.

For example, let's find the value of x in the first figure given:

12x + 5 = 1/2(83 + 95)

12x + 5 = 89

12x = 89 - 5

12x = 84

x = 7

Using same strategy, you can solve the rest of the problem given.

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Answer:

t = 1.399<1.710 ( from tabulated value)

we will accepted the null hypothesis

the marketing manager decides to carry out a test of hypothesis

H 0 : μ = 13.50

Step-by-step explanation:

Step1 :-

Given sample size 'n' = 25 customers

The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch.

therefore the population mean 'μ' = $13.50

A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be ¯ x = $ 14.50

sample mean ¯ x = $ 14.50

the restaurant informs the marketing manager that the standard deviation is σ = $ 3.50

Population standard deviation σ = $ 3.50

Step 2:-

we will use' t' test because of given small sample size is n=25

Null hypothesis: H₀ : μ= $ 13.50

Alternative hypothesis :H₁:μ ≠ $ 13.50

Degrees of freedom γ = n-1 = 25-1 =24

The test statistic 't' is

substitute all values , we get

t = 1.399

This is calculated value  t = 1.399

The tabulated value of t are 5% level with 24 degrees of freedom

t = 1.710

Step 3:-

t = 1.399<1.710

Since calculated value < The tabulated value of t are 5% level with 24 degrees of freedom.

we will accepted the null hypothesis

the marketing manager decides to carry out a test of hypothesis

Answer:

Whereby circle \(\bigodot\)P can be obtained from circle \(\bigodot\)O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, \(\bigodot\)O is similar to \(\bigodot\)P

Step-by-step explanation:

The given center of the circle \(\bigodot\)O = (-2, 7)

The radius of \(\bigodot\)O, r₁ = 5

The given center of the circle \(\bigodot\)P = (12, -1)

The radius of \(\bigodot\)P, r₂ = 12

The similarity transformation to prove that \(\bigodot\)O and \(\bigodot\)P are similar are;

a) Move circle \(\bigodot\)O 14 units to the right and 8 units down to the point (12, -1)

b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4

Therefore, the radius of circle \(\bigodot\)O is increased by 2.4

We then obtain \(\bigodot\)O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle \(\bigodot\)P

∴ Circle \(\bigodot\)P can be obtained from circle \(\bigodot\)O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, \(\bigodot\)O is similar to \(\bigodot\)P.

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

Answer is B and D.

Step-by-step explanation:

forgive me if I'm wrong!

I hope it's helpful!

Answer:

its B

Step-by-step explanation:

SAS

EXPLANATION

From the given diagram;

we have two triangles,

The size of the bigger triangle is;

comparing the two given sides of the bigger triangle, we have;

while that of the smaller triangle is;

Therefore the sizes of the two sides are equivalent

now, since the angle given is an included angle, we can say that they are similar triangle by

SAS

Answer:

Fastest wind speed ever recorded

That is, however, a patch on the top speed ever reached by an aircraft, a record held by the Lockheed Blackbird, which tickled 2,193mph in 1976

Step-by-step explanation: