a pack of 10 pair of socks cost 16.80. what is the cost for one pair of socks​

Answer:

-11 > - 12 (because on a number line, -11 is closer to 0)

-2/3 > -5/6 (because on a number line, -11 is closer to 0)

I -22 l = 22 (because absolute value makes the -22 into 22)

l -450 l > - 450 (because absolute value makes -450 into 450)

Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

Answer:

-3/2

Step-by-step explanation:

choose an x variable with it's corresponding y variable from the table.

for example -4, 19

then choose another one,

for example 0, 13

-4 will be the x1 and 19 will be y1 (-4=x1) (19=y1)

the second pair,

0 will be x2 and 13 will be y2 (0=x2) (13=y2)

then you need to subtract y1 from y2:       13 - 19 = (-6)

then you need to subtract x1 from x2:       0 - (-4) = 4

now you have y = (-6)

and x = 4

and since rise over run, aka y = rise, x = run, you put y over x. (divide)

y/x   -6/4  simplify = -3/2

a. The equation for the State's GDP growth is g = 243(3.10)^t.

b. The equation is in the exponential family.

c. Oregon's GDP in 8 years from now will be $2072525 billion.

What is exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The Gross Domestic Product, GDP, of Oregon is 243 billion dollars with a growth rate of 3.10%

Let t = time in years

Let g = State's GDP amount

Start with $243 billion and each year add 3.10% growth is seen in the GDP.

1st year: Growth = 243 × (3.10) = $753.3 dollars

This is added to the previous amount -

= 243 + 243 × (3.10)

= 243 (1+3.10)

= 243 (4.10)

= $996.3 billion

2nd year: Previous amount + Growth in the previous amount

= 996.3 (1+4.10)

= 996.3 (5.10)

= $5081.13 billion

So, the exponential formula becomes -

g = 243(3.10)^t

Now, to find the value of GDP growth after 8 years, substitute t = 8.

g = 243(3.10)^t

g = 243(3.10)^8

g = 243(8528.91)

g = $2072525.13 ≈ 2072525 billion

Therefore, the GDP growth after 8 years is $2072525 billion.

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The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.

A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.

Given that,

In general, 70 % of the values in a data set lie at or below the 70th percentile.

20 % of the values in a data set lie at or above the 20th percentile.

Generally percentile defines the percentage of a data set that is below or at a value that is being considered.

Hence the percentage of the values of a data set that lies below or at the 16th percentile is  16%

Also  the values of a data set that lies below or at the 24th percentile is  24%

Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of  600 which is mathematically represented as:

K = \(\frac{86}{100}\) × 600

K = 516 test scores

Given a sample of 600 test scores , the number number of test scores that will be above  the 62 th percentile is (100 - 62 = 38 )% of  600 which is mathematically represented as:

a = \(\frac{38}{100}\) × 600

a = 228 test scores.

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16.02 x 3.5 = 56.07

hope this helps!

Answer:

56.07 is the answer

I hope this is useful

a. C = 5.00 + 0.75t

b. It will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we can use the following equation:

C = 5.00 + 0.75t

In this equation, the constant term 5.00 represents the flat fee for parking, and the term 0.75t represents the additional cost per hour based on the number of hours (t) the car is parked. By adding the flat fee to the hourly cost, we get the total parking cost for t hours.

(b) To find out how much it will cost Elaine to park her car for a full 24 hours, we can substitute t = 24 into the equation:

C = 5.00 + 0.75 * 24

Calculating this expression, we get:

C = 5.00 + 18.00

C = 23.00

Therefore, it will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

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After 62.63 years Mr. Reihman's account outgrown Mr. Van Ausdall,

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, Van Ausdall and Reihman both make the decision to start retirement funds.

Mr. Reihman contributes $10,000 at a constant rate of 7%, and

Mr. Van Ausdall contributes $35,000 at a continual rate of 5%.

Let "x" be the time when Mr. Reihman and Mr. Van Ausdall will have the same amount of money

From the general formula of continuous growth of the amount:

Amount = Principal amount*e^(rt)

Where r =rate of interest

t = time

At time x Mr. Reihman will have = 10,000*e^(7%*x)

At time x Mr. van will have =35,000* e^(5%*x)

Since at x, they both will have the same amount

thus,

10,000*e^(7%*x)  =3 5,000* e^(5%*x)

e^(7x/100 -5x/100) = 3.5

Taking natural logs on both the side

2x/100 = ln3.5

x = 50*ln 3.5

x = 62.63

Thus, after 62.63 years Mr. Reihman's account outgrown Mr. Van Ausdall,

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Complete question:

Reihman and Van Ausdall both decide to open retirement accounts. Mr. Van Ausdall puts in $35,000 with a continuous rate of 5% and Mr. Reihman puts in $10,000 with a continuous rate of 7%. After how much time will Mr. Reihman's account outgrow Mr. Van Ausdall? Solve algebraically and show all work.

Answer:

Step-by-step explanation:

Q.1.

\(ln\left(4\right)+\:ln\left(x\right)=ln\left(24\right)\)

apply ln rules:

\(ln( 4 * x) = ln (24)\)

cancel ln from both sides:

\(4x = 24\)

divide both sides by 4:

\(x = 6\)

Q.2.

\(2ln\left(x\right)=ln\left(4\right)+ln\left(9\right)\)

apply ln rules:

\(ln\left(x^2\right)=ln\left(4*9\right)\)

cancel ln from both sides:

\(x^2 = 36\)

\(x = \pm6\)

as ln cannot be negative:

\(x = 6\)

The evaluation of the expression using the order of operations, indicates the operations that come first as follows;

(5 + 5)² + 15 - 10 Parenthesis

40 ÷ 8 · 4  + 2; Division

4 - 2 + 3 · 5; Multiplication

(3² + 8) ÷ 7 - 5; Parenthesis

The order of operations is a rule that serves as a guide for the correct sequence of performing operations in an equation or expression.  

The evaluation expressions can be presented as follows;

First operation;

(5 + 5)² + 15 - 10

The order of operations, PEMDAS, indicates that we get;

1) Parenthesis first

2) Exponents

3) Multiplication and division

4) Addition and subtraction

Based on the above PEMDAS order of operation, the step that should be completed first is the operation within the parenthesis, which is the addition operation (5 + 5)

The correct option is; Parenthesis

Second expression;

40 ÷ 8 · 4 + 2

The operations in the expression are; division, multiplication, and addition

The order of operations indicates that division, which comes first, from the left, should be performed first. The correct option is therefore;

40 ÷ 8 · 4 + 2; division

Third expression;

4 - 2 + 3 · 5

The subtraction is the first operation from the left, but the order of operations, PEMDAS, indicates that the multiplication, 3 · 5 should be performed first, therefore;

Fourth expression;

(3³ + 8) ÷ 7 - 5

The parenthesis which comes first in the order of operations and first among the operations from left to right comes first

Therefore, the parenthesis comes first;

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Answer:

33.123

Step-by-step explanation:

Brenda is at 35.04 seconds which is 2.45 seconds behind Mary so Mary is at 37.49 seconds.

Karen is ahead of Mary by 4.367 seconds which means she is at 33.123

Let's begin by listing out the information given to us:

-(3c - 8) - 3c

Expand the bracket, we have:

-3c - (-8) - 3c ⇒ -3c + 8 - 3c

-3c + 8 - 3c

Put like terms together, we have:

-3c -3c + 8 ⇒ -6c + 8

-6c + 8

To solve for "c", we equate to zero. We have:

-6c + 8 = 0

Add "6c" to both sides, we have:

-6c + 6c + 8 = 0 + 6c

8 = 6c ⇒ 6c = 8

6c = 8

Divide both sides by "6", we have:

c = 8/6 = 4/3

c = 4/3

Answer:

the answer is  XD

Step-by-step explaion:

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Answer:

132 kilo meters

Step-by-step explanation:

Pro por tions:

9 lite rs ⇒ 99 km

12 lite rs  ⇒  P km

P = 99*12/9

P = 132 km

Answer:

132

Step-by-step explanation:

give person above brainliest :))

Answer:

answer: no spam please

oly questions

Answer:

2.43 • 10^-18

The mass of 90,000 molecules of methane is 2.43x10⁻¹⁸ grams.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given that the mass of one methane molecule is 2.7x10⁻²³ gram. Find the mass of 90,000 molecules of methane.

The mass of 90000 molecules of methane will be calculated as below:-

Mass = 2.7x10⁻²³ x  90,000

Mass = 2.43x10⁻¹⁸ grams.

Therefore, the mass of 90,000 molecules of methane is 2.43x10⁻¹⁸ grams.

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The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

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Given:

Distance traveled by sprinter = 200 m

Time taken by sprinter = 20.03 seconds

To find:

The sprinter's average speed rounded to 4 sf.

Solution:

We know that,

\(\text{Average speed}=\dfrac{\text{Distance}}{\text{Time}}\)

It is given that, the sprinter travels a distance of 200 m in a time of 20.03 seconds.

\(\text{Average speed}=\dfrac{200}{20.03}\)

\(\text{Average speed}=9.985022466\)

\(\text{Average speed}\approx 9.985\)

Therefore, the average speed of the sprinter is 9.985 m/sec.

Answer:

9.985

Step-by-step explanation:

Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

(x,y,z)=(19,14,3)

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Answer:

7 people

Step-by-step explanation:

Count the x’s that corresponds in the 3 section. Make sure to count next time!

Answer:

15

Step-by-step explanation:

at least means that number or more

Add up the number of x's for 3 and 4

3: 7

4: 8

total : 15

15 people took 3 or more photographs

Answer:

x squared over 4 plus y squared over 8 equals 1

Step-by-step explanation:

The general equation of ellipse is given as;

(x²/a²) + (y²/b²) = 1

The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

Now, Directrix is given ±4

Thus, a/e = 4

a = 4e

We also know that c = ae from ellipse foci coordinates.

Thus, ae = 2

since ae = 2, then (4e)e = 2

4e² = 2

e² = 2/4

e = 1/2

Thus;

a = 4 × 1/2

a = 2

Since c² = b² - a²;

2² = b² - 2²

4 = b² - 4

b² = 8

From (x²/a²) + (y²/b²) = 1, we can put our values to get;

x²/4 + y²/8 = 1

The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)

We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)

a) \((a^2 - b^2)\)

We can write the transpose of this matrix as

\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)

Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)

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Answer:

2

Step-by-step explanation:

3x+4=9x-8

*add -3x to both sides

4=6x-8

*add +8 to both sides

12=6x

*Divide both sides by 6

2=x

Answer:

did, the jackles howled loudly in the forest ?

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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