A picture frame of width y surrounds a 6 by 8 inch photograph. Find an expression to represent the area of the
picture frame.

about 91 % of the players are weighing 245 kg or less than 245kg.

Total number of students = 40 players

Minimum weight = 152 pounds

Third quartile (Q3) = 245

We have to find the percentage of students that are weighing 245 kg or less than it.

About 10 of the intervals out of the 11-coverage interval of the box plot fall between 152 and 254; so,

= (10 / 11) * 100

= 90.90

= about 91 % of the total students are weighing 245 kg or less than it.

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Answer:

1.2 * 10^14

Step-by-step explanation:

Do 2*6 = 12

Do 10^5 * 10^8 = 10^(5+8)=10^13

Multiply the two answers together: 12 * 10^13

Write in scientific notation: 1.2 * 10^14

Solution:

Before we begin solving, I suggest reviewing a rule about multiplying exponents.

Rule about multiplying exponents:

Now, let's solve for the answer.

Open the brackets of both expressions.

Simplify 2 x 10⁵ x 6 x 10⁸.

Add the exponents as per multiplying exponent rule

Hence, the answer is 12 x 10¹³.

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Answer: No.

Step-by-step explanation:

They aren't equal because using the order of operations, the two in 7n-2 is subtracted from 7n. In 2-7n, they are subtracting 7n from 2, which would give a totally different answer.

Answer:

no they are not the same or equal. this is because the first part of the expression 2 is the number that is negative while 7n is positive. in the second half of the expression 2 is positive and 7n is negative.

Step-by-step explanation:

i hope this helps :)

The values of x in the open interval (0, 1.565) is: (B) One.

The instantaneous rate of change of a function is given by the derivative, while the average rate of change is given by the difference quotient.

In this problem, we need to find the values of x in the open interval (0, 1.565) where the derivative of f is equal to the difference quotient of f over the closed interval [0, 1.565].

The derivative of f(x) is f'(x) = 2x - 2, and the difference quotient of f over [0, 1.565] is:

[f(1.565) - f(0)] / (1.565 - 0) = [1.565^2 - 2(1.565)] / 1.565 = -0.624

So we need to find the values of x in (0, 1.565) where f'(x) = -0.624.

Setting f'(x) = -0.624 and solving for x, we get:

So there is only one value of x in (0, 1.565) where the instantaneous rate of change of f is equal to the average rate of change of f over [0, 1.565]. The answer is (B) One.

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Answer:

(3x - 5) (x + 3)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant:

3 x -15 = -45

Find two factors of -45 that equals 4:

-5 + 9 = 4

Rewrite the polynomial splitting 4 using -5 and 9:

3x2 - 5x + 9x - 15

Add up the first 2 terms, pulling out like factors:

x • (3x-5)

Add up the last 2 terms, pulling out common factors:

3 • (3x-5)

Add everything up:

Answer

(x+3) (3x-5)

Answer:

2 gallons

Step-by-step explanation:

Answer:

2 gallons for 5.98$

Step-by-step explanation:

for two gallons.

1/4g milk = 12.92

1/2g milk= 8.36

1g milk= 8.50

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

try negative -4 it might be the answer

Answer:

the rate of change is for x it would be 2 and for y it would be 4.

Step-by-step explanation:

Answer:

\(y=\dfrac{1}{8}x^2\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given that the vertex of the parabola is (0, 0):

Substitute the values of h and k into the formula:

\(y=a(x-0)^2+0\)

\(y=ax^2\)

Given that the parabola passes through the point (12, 18), substitute this into the equation and solve for a:

\(18=a(12)^2\)

\(18=144a\)

\(a=\dfrac{18}{144}\)

\(a=\dfrac{1}{8}\)

Therefore, the equation of the parabola in vertex form is:

\(y=\dfrac{1}{8}x^2\)

The length of one side of the square room of Rhett for his movie and music collection is (2x+7) feet.

Area of square is the square of its sides length. It can be given as,

\(A=a^2\)

Here, \(a\) is the length of the side of the square

Rhett decides to build a square room for his movie and music collection. The area of the room is given by the polynomial equation as,

\(A=(4x^2 +28x +49)\rm ft^2\)

Find the factors of the above equation using the split the middle term method as,

\(A=4x^2 +28x +49\\A=4x^2 +14x+14x +49A=x(2x+7)+7(2x+7)\\A=(2x+7)(2x+7)\\A=(2x+7)^2\rm ft^2\)

Compare it with the area of the square we get,

\(a=(2x+7)\rm ft\)

Hence, the length of the square room of Rhett for his movie and music collection is (2x+7) feet.

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The probability that a person chosen at random has run a red light in the last year can be calculated by taking the number of people who said “yes” to running a red light and dividing it by the total number of people in the group.

For example, if 10 people said “yes” and 20 said “no”, the probability of a person chosen at random running a red light in the last year is 10/30, or 1/3.

The probability of an event happening is calculated using the formula:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

In this case, the favorable outcome is running a red light in the last year, and the total number of outcomes is the total number of people asked.

To calculate the probability, we take the number of people who said “yes” to running a red light in the last year and divide it by the total number of people in the group. In our example, 10/30 = 1/3, so the probability that a person chosen at random has run a red light in the last year is 1/3.

In conclusion, the probability of a person chosen at random having run a red light in the last year is calculated by taking the number of people who responded “yes” and dividing it by the total number of people in the group.

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Answer:

5... 36, 49

6.... 3, 0

Answer:

y= 8x

Step-by-step explanation:

y= 48

x= 6

48/6 = 8

y= 8x

x=2

y= 8(2)

y= 16

Answer:

x = - 20

Step-by-step explanation:

12x = -8(10 - x)

12x = -80 + 8x

12x - 8x = -80

4x = -80

x = -80/4 = -20

The row numbers along the left side of the worksheet are 1, 2, 4, 5, 6. We can observe that there is a missing number in the sequence, specifically the number 3. Therefore, based on the pattern, we can deduce that row 3 is missing from the worksheet.

Based on the given information, the row numbers along the left side of the worksheet are 1, 2, 4, 5, 6, with a missing number in the sequence, which is the number 3.

The presence of the numbers 1, 2, 4, 5, and 6 indicates that rows corresponding to those numbers exist in the worksheet. However, there is no row with the number 3 mentioned in the sequence. Thus, we can conclude that row 3 is missing from the worksheet.

It is important to note that the missing row could be intentional or accidental, but based on the given information, we can deduce that there is a discontinuity in the row numbering, specifically the absence of row 3.

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Using fraction formula ,

The flour used by ramil and Carly for making bread is 33/40lb

Fraction: fraction is a number represented as a quotient, in which a numerator is divided by a denominator.

We have given that,

Ramil and Carly used 1/2 lb flour to make the bread.

They used 1/8lb less flour to make bread than to make cookies.

So, they used flour to make the cookies = 1/2+1/8

= 5/8lb

Therefore they used 5/8lb flour to make the cookies.

they used 1/5 lb more breads to make cookies than to make brownies. Mathematically, they used cookies for making the brownies is

= 1/5 + 5/8

=(8 + 25)/40 = 33/40lb

Therefore , they used 33/40lb flour to make the brownies.

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Complete question:

Ramil amd carly decided to make more baked goods for the bake sale. They used 1/8 lb less flour to make bread than to make cookies. She used 1/5 lb more to make cookies than to make brownies. If she used 1/2 lb of flour to make the bread, how much flour did she use to make the brownies

A household with a credit score of 525 will pay $9,256.00 more than a household with a credit score of 675.

According to my findings, a household with a credit score of 525 will pay $9,256.00 more compared to a household with a credit score of 675.

Mortgage lenders typically charge higher interest rates to individuals with lower credit scores than to those with higher credit scores.

So, if you have a poor credit score, you'll have to pay more for your mortgage than if you had a strong credit score.

You can use the following data to calculate how much more a household with a credit score of 525 will pay compared to a household with a credit score of 675.

The total cost of a $200,000, 30-year fixed-rate mortgage with a 525 credit score and a 4.5% interest rate is $446,668.

The total cost of a $200,000, 30-year fixed-rate mortgage with a 675 credit score and a 3.1% interest rate is $437,412.A household with a credit score of 525 will pay $9,256.00 more than a household with a credit score of 675.

The answer is $9,256.00.

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Answer:

The length of the side of the base of the pyramid with a height of 3.2 cm is 5 cm.

Step-by-step explanation:

Let V be the fixed volume of the pyramid, and let h and s be the height and length of a side of its base, respectively. Then we have:

V = (1/3) * s^2 * h ... (1)

Also, we have:

h ∝ 1/s^2 ... (2)

We are given that s = 4 cm when h = 5 cm. Using this information, we can find the constant of proportionality k in equation (2) as follows:

5 ∝ 1/4^2

5 ∝ 1/16

k = 16 * 5 = 80

Therefore, we have:

h = k/s^2 ... (3)

Now we can use equations (1) and (3) to find the length of the side of the base when the height is 3.2 cm:

V = (1/3) * s^2 * h

V = (1/3) * s^2 * (k/s^2)

V = k/3 * s^2

We know that V is fixed, so we can set the right-hand side of this equation equal to V and solve for s:

V = k/3 * s^2

s^2 = 3V/k

s = sqrt(3V/k)

Plugging in the given values, we get:

s = sqrt(3V/80)

s = sqrt(3*V)/sqrt(80)

s = sqrt(3)/4 * sqrt(V)

Now we can use the given height of 3.2 cm to find the value of V, and then substitute it into the equation for s:

3.2 = k/s^2

s^2 = k/3.2

s = sqrt(k/3.2)

Plugging in the value of k we found earlier, we get:

s = sqrt(80/3.2)

s = sqrt(25)

s = 5

The sentence representing the equation is 912 is the same as 15 decreased by a number.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given an equation, 912 = 15 − x

Here, 912 is equal to a number which is being subtracted from 15.

Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.

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The probability that at least one program system will detect an error is 0.8319 (approx) or 0.832 (approx).

Given information:

five program systems are prepared so that they work independently of each other. Each system has a 0.3 chance of detecting an error.

Find the probability that at least one program system will detect an error. Use 4 decimal places.The probability of a system detecting an error is 0.3.

The probability of a system not detecting an error is 1 - 0.3 = 0.7.

Probability that none of the five systems detects an error is, P(error not detected in any of the five systems) = P(not detected in 1st) x P(not detected in 2nd) x ... x P(not detected in 5th) = 0.7 x 0.7 x 0.7 x 0.7 x 0.7 = 0.16807.

The probability that at least one system detects an error is, P(at least one system detects an error) = 1 - P(error not detected in any of the five systems) = 1 - 0.16807 = 0.8319 (approx).

Therefore, the probability that at least one program system will detect an error is 0.8319 (approx) or 0.832 (approx).

Hence, the correct option is 0.832.

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given sample: P = 3a + 3b, make a subject

given sample: v = u + at, make a subject

given sample: 5x + 6y + 12 = 0, make x subject

given sample: A = 3b + 9, make b subject

given sample: y = 2/5x – 12, make x subject

Answer:

1)  \(\frac{(P -3b)}{3} = a\)

2)  \(\frac{(v-u)}{a} =t\)

3) \(x = \frac{( -12-6y)}{5}\)

4)  \(\frac{(A-9)}{3} =b\)

5) \(\frac{5(y+12)}{2} =x\)

Step-by-step explanation:

1) P = 3a + 3b

First, take 3b to the left side.

P - 3b = 3a

Divide both sides by 3.

\(\frac{(P -3b)}{3} = a\)

2)  v = u + at

First, take u to the left side.

v - u = at

Divide both sides by a.

\(\frac{(v-u)}{a} =t\)

3) 5x + 6y + 12 = 0

First, take 12 to the right side.

5x + 6y = -12

Take 6y to the right side.

5x = -12 - 6y

Divide both sides by 5.

\(x = \frac{( -12-6y)}{5}\)

4) A = 3b + 9

First, take 9 to the left side.

A - 9 = 3b

Divide both sides by 3.

\(\frac{(A-9)}{3} =b\)

5) y = 2/5x – 12

First, take -12 left side.

y + 12 = 2 / 5x

Multiply both sides by 5.

5 ( y + 12 ) = 2x

Divide both sides by 2.

\(\frac{5(y+12)}{2} =x\)

1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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Answer:

45 dimes and 75 nickels

Step-by-step explanation:

3 ÷ 8 × 120 = 45

you divide the three by both ratios summed up (8) and then you multiply that by the coins

doing so will you can get 45

and to get the amount of nickels you just subtract 45 from 120 and you get 75

Answer:

60 gummy bears in total

Step-by-step explanation:

20% of the gummy bears are blue.

12 gummy bears are blue

That means 6 gummy bears is 10% of the total.

6*10=60

100%=60 gummy bears.

rational equation using is D