A football team lost 14 yards on their first play then lost another 7 yards on the next play. What integer represents the total change in yards for the two plays?

Answer:

First, convert the hour to minutes.

1 hr = 60 mins

15 mins: 60 mins

1:4

Oh wait I read the question wrong, give me 5 minutes lol. Edit: Nvm, I read it right :). This is the answer.

Answer:

3:2

Step-by-step explanation:

1 hour and 15 minutes can be seen as 75 minutes so it would be

75:50

The highest common mutiple of 75 and 50 are 25. Divide both (75&50) by 25.

The answer would be 3:2

Step-by-step explanation:

One possible equivalent equation to the given formula is:

uppercase B = 3 uppercase V ÷ h

To see why this equation is equivalent, we can isolate uppercase B in the original formula by multiplying both sides by 3/h:

3/h * uppercase V = 3/h * (one-third uppercase B h)

Simplifying the right-hand side:

3/h * (one-third uppercase B h) = uppercase B

Substituting back in the original formula gives:

uppercase B = 3/h * uppercase V

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Answer:

the  rate at which total personal income was rising in the area in 1999 is 1.5550493×10⁹

Step-by-step explanation:

Given that:

the population of this area P was 918,100

and the population was increasing at roughly 9300 people per year i.e DP/DT = 9300

The average annual income I was $29,001 per capita

and this average was increasing at about $1400 per year

i.e DI/DT = 1400

Using the Produle rule;

the rate at which total personal income was rising in the area in 1999 can be calculate as:

DC/DT = P(DI/DT)+I(DP/DT)

DC/DT = 918100(1400)+29001(9300)

DC/DT = 1.28534×10⁹ + 269709300

DC/DT = 1.5550493×10⁹

Thus; the  rate at which total personal income was rising in the area in 1999 is 1.5550493×10⁹

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer:

try x = -3/2 . if its wrong i am sorry

Step-by-step explanation:

8x+5 = 10/3 x - 2

x=-3/2

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

00

Step-by-step explanation:

it is 0

Answer:

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.

Step-by-step explanation:

We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.

Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.

Let X = back-to-college family spending on electronics

SO, X ~ Normal(\(\mu=237,\sigma^{2} =54^{2}\))

The z score probability distribution for normal distribution is given by;

                                 Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = population mean family spending = $237

           \(\sigma\) = standard deviation = $54

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)

        P(X < $150) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{150-237}{54}\) ) = P(Z < -1.61) = 1 - P(Z \(\leq\) 1.61)

                                                             = 1 - 0.9463 = 0.0537

The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)

        P(X > $390) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{390-237}{54}\) ) = P(Z > 2.83) = 1 - P(Z \(\leq\) 2.83)

                                                             = 1 - 0.9977 = 0.0023

The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)

     P($120 < X < $175) = P(X < $175) - P(X \(\leq\) $120)

     P(X < $175) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{175-237}{54}\) ) = P(Z < -1.15) = 1 - P(Z \(\leq\) 1.15)

                                                         = 1 - 0.8749 = 0.1251

     P(X < $120) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{120-237}{54}\) ) = P(Z < -2.17) = 1 - P(Z \(\leq\) 2.17)

                                                         = 1 - 0.9850 = 0.015

The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.

Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101

Answer:

$9520.92

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula: \(\displaystyle A = P(1 + \frac{r}{n})^{nt}\)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 5500

r = 5.5% = 0.055

n = 12

t = 10

Step 2: Find A

1. The mean age of the team is 21 years.

2. The age of the new player is 34 years

1. From the information, the following can be deduced:

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

Mean = Age × Frequency / Sum of frequency

= [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

Sun of frequency = 2 + 3 + 1 + 4 + 1= 11

Mean(X) = 230 / 11

X = 21

The mean is 21 years.

2. A new player joins and raises it to 22 years. Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

The age is 34 years.

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Complete question

The table shows the ages of players on a football team.

Age

Frequency

a) Work out the mean age of the team.

Round your answer to 1 decimal place.

19

2.

20

3

21

1

b) A new player joins the team and raises

the mean age to 22.

22

4

23

1

Work out the age of this new player

Answer:

30 %

______________________________________________________

Step-by-step explanation:

that looks suspiciously like the powers of 3 :

f(x) = 3^x

if fits :

3⁰ = 1

3¹ = 3

3² = 9

Answer:

(3x - 1)(x + 1) = 3x² + 2x - 1

Step-by-step explanation:

\( \rm \longrightarrow (3x - 1)(x + 1) \\ \\ \rm \longrightarrow 3x(x + 1) - 1(x + 1) \\ \\ \rm \longrightarrow (3x)(x) + (3x)(1) + ( - 1)(x) + ( - 1)(1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x + ( - x ) + ( - 1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x - x - 1 \\ \\ \rm \longrightarrow 3 {x}^{2} + 2x - 1\)

Answer:

(3x - 1)(x + 1) = 3x² + 2x - 1

Step-by-step explanation:

got it right on edge

Answer:

creature

Step-by-step explanation:

it's definitely creature

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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If each code contains non-repeating digits there would be 720 possible gate codes.

What is a combination in mathematics?

Combination in mathematics is a way of selecting items from a set, without regard to the order in which they were chosen.

In your example, there are 10 possible digits (0-9) that can be used for each of the three numerical digits, but since the digits cannot repeat, the total number of possible gate codes is 1098 = 720. Since the "#" sign is not included in this calculation, the final answer is 720 possible gate codes.

Hence,  If each code contains non-repeating digits there would be 720 possible gate codes.

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The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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Answer:

you will pay $60

Step-by-step explanation:

25% (1/4) of 80 is 20

subtract 20 from the total (80)

80 - 20 = 60

$60

Answer:

60

Step-by-step explanation:

So if you get 25% off, you're basically paying 75%.

So first, convert the percentage to a decimal:

75% = 75/100 = 0.75

Now just multiply the decimal by the total cost:

80$ (0.75) = $60

Answer:

1) initial investment is A.200

2) interest rate is F. 8%

3) D. 16 years

4) H. 520

tell me if anything is wrong

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

By using the equation a^2 +b^2=c^2 we can see if it will work.

Substitute a for 6 and b for 2 to get 6^2+2^2=40

when you \(\sqrt{40}\) you don't get 7 therefore you cant make any triangles

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

The input is 8, the output of the function f(x) would be -5.

What is the function?

Function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet

To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:

f(x) = 8/x - 6

f(8) = 8/8 - 6

f(8) = 1 - 6

f(8) = -5

Hence, if the input is 8, the output of the function f(x) would be -5.

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This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

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Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5

Answer:

y= (-6/5)x+3

Step-by-step explanation:

6x+5y=15

Divide everything by 5

(6/5)x + y = 3

Move (6/5)x to the other side of the = sign by subtracting

y= (-6/5)x + 3

That's your answer!

Hope it helps!

Evaluating the exponential decay we can see that 200 years, there will be 47.43 pounds left of the material.

A general exponential decay is:

f(x) = A*(b)^x

Where A is the initial value, b is the rate of decay, x is the variable.

We know that we start with 68 pounds, and after 40 years there are 63.3 pounds left, so we have an exponential decay:

63.3 = 68*(b)^40

Where b defines how it decays, we can solve that equation for b to get:

(63.3/68)^(1/40) = b

0.9982 = b

Then the decay is:

f(x) = 68*(0.9982)^x

The amount left after 200 years will be:

f(200) = 68*(0.9982)^200 = 47.43

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Step-by-step explanation:

\( \frac{x + 3}{3} = \frac{y + 2}{2} \)

\(2(x + 3) = 3(y + 2)\)

\(2x + 6 = 3y + 6\)

\(2x = 3y\)

\( \frac{x}{3} = \frac{y}{2} \)

In a case whereby Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves the number of pieces of jewelry that each sister receive can be expreesed as (13 + y)/5.

The concept that will be used here is simplification. The pieces of jewelry by Grandma Gertrude is 13 pieces

Then the pieces of jewelry by Grandma Fien can be seen as " y ".

Since 5 Carlson sisters available . The number of pieces of jewelry each sister receive. can be calculated as:

Total jewlry= (13 + y) which is needed by  5 sisters, the each of the sisters will have = [(13 + y)/5]

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complete quesion:

Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 5 Carlson sisters.

How many pieces of jewelry did each sister receive?