Melanie is 3 years younger than half of Emily's age, x.

Which expression represents Melanie's age?


3−12x

12x−3

12x+3

I don't know.

The surface area of a cell phone screen is 117 cm².

What is unit conversion?

Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.

We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:

11700 mm² / (100 mm² / cm²) = 117 cm²

Rounding to the nearest whole number, we get 117 cm².

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The sum of the Polynomial as required to be used to verify the additive property is; 5x² + 5x +9.

Given polynomials p(x), q(x), and r(x), p(x) + ( q(x) + r(x) ) = ( p(x) + q(x) ) + r(x).

Hence, to justify the associative property; we must sum up the polynomials given in two ways as follows;

Method 1;

(3x + 4) + ( (5x² - 1) + (2x + 6) )

3x + 4 + ( 5x² + 2x + 5 )

3x + 4 + 5x² + 2x + 5.

Therefore, the sum is; 5x² + 5x + 9

Method 2;

(3x + 4) + ( (5x² - 1) + (2x + 6) )

= ( 3x + 4 + 5x² - 1 ) + ( ( 2x + 6 ) )

= 5x² + 3x + 3 + ( (2x + 6) )

5x² + 3x + 2x + 3 + 6

5x² + 5x +9

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Answer:

auxiliary lines

Step-by-step explanation:

Answer:

About 2.9 pounds per day.

Step-by-step explanation:

20÷7=2.85714...

rounded- 2.9

So Tank, the Great Dane, ate about 2.9 pounds per day.

Answer:

Step-by-step explanation:

2 6/7

Answer:

x=6.93

Step-by-step explanation:

use the Pythagorean theorem

8^2=(0.5 x 8)^2+x^2

64=16+x^2

x^2=48

x=6.93

Answer:x= Square root 48

Step-by-step explanation:

Answer: 84

Step-by-step explanation:

215 - 89 = 126

126 divided by 3 = 42

42 x 2 = 84

( this was how my teacher taught me to do these kind of problems)

Hope this helps! <3

Answer:

The answer is 84

Step-by-step explanation:

got it right on edge :D

Answer: 3/5

Step-by-step explanation:

Chau had 4/5 of a spool of yarn, and he used 3/5 of it for a project.

The fraction of the spool used for the project is:

3/5

So, 3/5 of the spool was used for the project.

Answer:1-3

Step-by-step explanation:

Answer:

f(3)=1

Step-by-step explanation:

The length of Mid segment QT is 57.56 units.

The incenter of a triangle can be discovered by drawing the triangle's angle bisectors and then locating the location of their intersection. This is possible with the aid of a compass.

The three line segments and the three lines that include those segments are equally spaced from the incenter and constitute each of the three sides of the triangle.

the single point where the three internal angle bisectors of a triangle meet and which also serves as the circumference of the circle around which it is inscribed.

The three line segments and the three lines that include those segments are equally spaced from the incenter and constitute each of the three sides of the triangle.  

ΔQUT is right triangle

QU = 55

UT= 17

Using Pythagoras Theorem

QT² = QU² + UT²

QT² = 55² + 17²

QT = √3314

QT = 57.56

Thus, The length of Mid segment QT is 57.56 units.

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The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

765,795 = 96%

Step-by-step explanation:

confidence interval = 0.04  

The Za/2 theorem = 1/2 = 0.04/2 = 0.02= /x = 720z

If ; 0.02 = 2.05  then the interval is 780-2.05 x 40/√30 x 780+2.05 x 30/√30 = 765,795 = 96%

We see 40/ √30 which is found in equation of finding the sample mean at point /x = 720z

σ 40/ n√30 = 7.3029674334 and is simply a fraction of /x 720z

By normal distribution we find

The 96% confidence interval for the population mean of all bulbs = 765,795

As 765, x 1.04 = 795 = 765, 795

To find Sampling mean.

The Sampling Distribution of the Sample Mean. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).

Confidence Level z*-value

80% 1.28

90% 1.645 (by convention)

95% 1.96

96% 2.05

98% 2.33

99% 2.58

=) 120 × 25%

=) 120 × 25/100

=) 30

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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The tank holds approximately 994,040 liters.

The volume of a right circular cylinder is given by the formula:

V = πr^2h

Where

The cylinder's diameter is specified as 13 m, hence the radius may be computed using the formula: r = d/2 = 13/2 = 6.5 m

The cylinder is described as having a 6 m length.

These values are substituted into the volume calculation to produce the following result:

V = π(6.5)^2(6)

V ≈ 994.04 cubic meters

Since 1 cubic meter equals 1000 liters, we can convert the volume to liters by multiplying by 1000.

V = 994.04 cubic meters x 1000 liters/cubic meter

V = 994,040 liters

Therefore, the tank holds approximately 994,040 liters.

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The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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Answer:

51, 104, and the next number of series is 185

Step-by-step explanation:

I hope this will help u

Answer:

the next number in the sequence should be 45

Step-by-step explanation:

To calculate the correlation coefficient (r) given SSxx, SSxy, and other information, we need to use the following formula:

r = √(SSxy / SSxx)

Given SSxx = 950 and SSxy = 205.2, we can substitute these values into the formula:

r = √(205.2 / 950)

Calculating the value:

r = √(0.216)

r ≈ 0.465

The correlation coefficient (r) is approximately 0.465.

Interpretation: The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the value of r = 0.465 indicates a positive linear relationship between the variables, but it's not a strong relationship. The closer the value of r is to 1 or -1, the stronger the relationship. Since r = 0.465 is relatively close to zero, it suggests a weak positive linear association between the variables being an analyzed.

hope it help you

The Pearson's correlation coefficient (r) based on given data is approximately 0.44, implying a moderate positive correlation.

The formula for calculating Pearson's correlation coefficient (r) in this case is given as: r = SSxy / sqrt(SSxx * SSyy). However, we don't have the value for SSyy directly, but we can calculate it. We know that SSyy = Σy² -(Σy)² / n. Given that Σy² is 2028 and Σy is 120 and number of samples n is 12, we can calculate SSyy as: SSyy = 2028 - (120)² / 12 = 52. Now, substitute SSxx = 950, SSxy = 205.2 and SSyy = 52 in the formula to find r: r = 205.2 / sqrt(950 * 52), giving us an r-value of approximately 0.44. This value of r suggests a moderate positive correlation between the variables in the dataset.

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Answer:

≈9.64 gallons

Step-by-step explanation:

To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.

4.5 quarts = 7 minutes

First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1

4.5/7 quarts = 1 minute

Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60

4.5 * 60 / 7 quarts = 60 minutes = 1 hour

We now know how many quarts are in an hour, so we can now convert quarts to gallons

4 quarts = 1 gallon

divide both sides by 4

1 quart = 1/4 gallons

To get from quarts to gallons, we can divide by 4, so we have

(4.5 * 60 / 7)/4 = 4.5 * 60 / 28

≈9.64 gallons

Allison, Buck, Chantal, and Dough compete in a 40 yard dash.

Total number of competitors = 4

First place :

As for the 1st place, any 4 can be get so,

there are 4 ways to get the first position

Since when 1 get the position for the first place

then we are left with 4 - 1 = 3 competitors

Now for the second place :

Number of competitors we have are 3, so any three of them can get this position

There are 3 ways to get second place

Now for the third place:

Number of competitors left = 4 - 2 = 2 competitors

for the third place any two of them can get the third position

There are 2 ways to get the third pace

Now for the fourth place

As we are now left with only one competitor

So, the remaining one get the fourth place

So, number of ways to get the fourth place is 1

Number of ways the 4 competitors finish in 1st, 2nd, 3rd, And 4th place = The product of number of ways get 1st, 2nd, 3rd, And 4th place

Number of ways the 4 competitors finish in 1st, 2nd, 3rd, And 4th place = 4 x 3 x 2 x 1

Number of ways the 4 competitors finish in 1st, 2nd, 3rd, And 4th place = 24

There are 24 ways for the 4 competitors finish in 1st, 2nd, 3rd, And 4th place

Answer : D) 24 ways

Answer:

(1/5 x 5) to the 5th power = 1

Answer:

$30 is the right answer of the cost of 1 violon

Answer: D

Step-by-step explanation:The option that is statistical question that can result in numerical data is D) What is the height of the tallest player on a team?

What is a statistical question?

A statistical question is one that can be answered by gathering varying amounts of data. A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

The expression simplifies to 5 is  -27/3 +14 .

The option D is correct.

What is Simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.

Given,

Which expression simplifies to 5?

Here, Options are

A. 27/3 - 14

= 9 - 14 = -5

B. 27/3 + 4

= 9 + 4 = 13

C. --27/3 - 4

= -9 - 4 = -13

D. -27/3 +14

= -9 + 14 = 5

Hence, The expression simplifies to 5 is  -27/3 +14 .

The option D is correct.

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Answer:

Step-by-step explanation:

1) 2^2 + 2^2 = c^2

4 + 4 = c^2

8 = c^2

c = sqrt8

2) 2^2 + 3^2 = c^2

4 + 9 = c^2

13 = c^2

c = sqrt13

3) 10^2 + 4^2 = c^2

100 + 8 = c^2

108 = c^2

c = sqrt108

4) 1^2 + 5^2 = c^2

1 + 25 = c^2

26 = c^2

c = sqrt26

5) 3^2 + 1^2 = c^2

9 + 1 = c^2

10 = c^2

c = sqrt 10

6) 9^2 + 9^2 = c^2

81 + 81 = c^2

162 = c^2

c = sqrt162

Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

Answer:

c is congruent to e congruent means to be the same

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Step 1: Write equation

71 + x + 74 + 39 = 180

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.