Linda purchased a prepaid phone card for 30. Long distance calls cost 19 cents a minute using this card. Linda used her card only once to make a long distance call. If the remaining credit on her card is 23.73 , how many minutes did her call last?

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

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Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

Step-by-step explanation:

D = {x | x is a whole number}

D = {0, 1, 2, 3, 4,......}

E = {x | x is a perfect square between 49 and 100}

E = {64, 81}

F = {x | x is an even number between 10 and 20}

F = {12, 14, 16, 18}

D∪F = {x | x is whole number}

D∩F = {x | x is an even number between 10 and 20}

D∩E = {x | x is a perfect square between 49 and 100}

E∩F = {null set}

D∩(E∪F) = {12, 14, 16, 18, 64, 81}

Answer:

C. f(-2)=0

Step-by-step explanation:

couse you need to x and ÷ becouse the statement is true

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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Answer:

c

Step-by-step explanation:

gggehheueuru jshgsgsgsgsgsggsgs

Answer:

4 is the reciprocal of 1/4.

Answer:

To find the points, remember the definition of distance or difference.

First, the 5 is easy to find, is in the extreme right.

Now, the next number is 3.

The difference between 3 and 5 is:

3 - 5 =  - 2

This means that the place of the 3 will be 2 units at the left of the 5.

The next number is -2

The difference between -2 and 5 is:

-2 - 5 = -7

This means that the -2 is located 7 units at the left of the 5.

Below is an image of the located points in a number line.

The function g(x), after the translations, is defined as follows:

g(x) = (x - 93)² + 98.

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The changes to the function are given as follows:

Hence the function g(x) is defined as follows:

g(x) = (x - 93)² + 98.

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Answer:4,300,387

Step-by-step explanation:

Perimeter of a rectangle is :

\(\qquad \sf  \dashrightarrow \: P= 2l + 2b\)

where,

\(\qquad \sf  \dashrightarrow \: 48 = 2l + 2(6)\)

\(\qquad \sf  \dashrightarrow \: 2l = 48 - 2(6)\)

\(\qquad \sf  \dashrightarrow \: 2l = 48 -12\)

\(\qquad \sf  \dashrightarrow \: 2l = 36\)

\(\qquad \sf  \dashrightarrow \: l = 36 \div 2\)

\(\qquad \sf  \dashrightarrow \: l = 18 \: cm\)

So, length if the rectangle is 18 cm

Answer:

18cm

Step-by-step explanation:

the perimeter of a rectangle is the width/breadth (I'm calling it width) + the other width on the opposite side + the length + the length on the opposite side

(perimeter is a measure of the border length)

so,

l + l + w + w = perimeter

if the width is 6, our new equation is:

l + l + 6 + 6 = 48

l + l + 12 = 48

now, if we subtract 12 from both sides of the equation...

l + l + 12 = 48

      - 12     -12

l + l = 36

(number plus itself is equal to the number x2)

2L = 36

divide both sides by 2...

2L = 36

__    __

2        2

L = 18

So, the length of the rectangle is 18 cm

(to check, we can add 18 + 18 + 6 + 6 = 48)

2.0 + 0.5 + 0.01 hope this helps

Answer:
The hint suggests that this is a question related to a keyboard layout, specifically the QWERTY layout. Each row of the QWERTY keyboard contains certain letters. Using the hint, we can decode the given numbers as follows:

16 17 11 18

corresponds to the letters:

Q W E R

So the answer is: QWER.

Step-by-step explanation:

Answer:

247.5 is the answer

Step-by-step explanation:

pls mark brainliest it will help me a lot

Step-by-step explanation:

each shelf is 2.475 m long

now we are asking for the total length of 100 of these shelves.

total length = 100 × 2.475 = 247.5 m

you remember, with every power of 10 multiplied with a decimal number the decimal point moves one position to the right. if we run out of provided digits, 0s are being added on the right side.

so, for 100 the decimal point moves 2 positions to the right, as 100 = 10².

for 1000 it would be 3 positions, as 1000 = 10³.

and so on.

and with the division by every power of 10 the decimal point moves one position to the left (filling in 0s between the decimal point and the actual digits, if we are running out of provided digits).

The degree of the polynomial is 5 and the leading coefficient is -1.

The given polynomial is f(x)

f(x) = \(-x^{5} +2x^{4} +3x^{3} +2x^{2} -8x +9\)

The degree of the polynomial is the term with the highest power,

So, in the given polynomial, the term with the highest term is \(-x^{5}\)

The highest power is 5,

So, its degree is 5.

The leading coefficient is the coefficient of the term with the degree,

So, the leading coefficient is -1.

Hence, the degree of the polynomial is 5 and the leading coefficient is -1.

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There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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Answer:

y is equal to 4 if that's what ur asking for

Answer:

16 if ur asking for y^2+4=20

Step-by-step explanation:

____________

\( \: \)

f(x) = 4x - 1

g(x) = 2x - 4

Soo :

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

= f(g(x))

= f(2x - 4)

= 4(2x - 4) - 1

= 8x - 16 - 1

= 8x - 17✔ (D.)

.

Answer:

how much he should run t make a homerun

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Answer:

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

A = 1/2bh

Rate of change of area is expresssed as dA/dt = dA/db * db/bt

db/dt is the rate at which the base is increasing.

Given db/dt = 18mm/min

A = 1/2*7b

A = 7b/2

dA/db = 7/2

The rate at which the area is changing dA/dt = dA/db * db/bt

dA/dt = 7/2 * 18

dA/dt = 7*9

dA/dt = 63mm/min

Hence the rate at which the area of the triangle is changing is  63mm/min

Answer:

ΔABC= 90     ΔACB=  30        x=30

Step-by-step explanation:

60+3x+x=180

60+4x=180

60-60+4x=180-60

4x=120

\(\frac{4x}{4} =\frac{120}{4}\)

x=30

Angle ABC= 3(30)

Angle ACB= (30)

Hope this helps!

The equation of the line in slope-intercept form is y = 2x + 4

What is slope how to solve slope equation ?

Slope is a measure of the steepness of a line. It is defined as the ratio of the change in y-coordinates to the change in x-coordinates between any two points on the line. Slope is denoted by the letter m.

The slope formula is:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line.

To solve for the slope of a line given two points, you can simply plug in the coordinates into the slope formula and simplify.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is 2, so we have:

y = 2x + b

To find the value of b, we can use the fact that the line passes through the point (2, 8). Substituting these values into the equation, we get:

8 = 2(2) + b

Simplifying the right-hand side, we get:

8 = 4 + b

Subtracting 4 from both sides, we get:

b = 4

So the equation of the line in slope-intercept form is:

y = 2x + 4

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The amount of the sale of the home is $2090181.82

From the question, we have the following parameters that can be used in our computation:

Commission = 5.5% on the sale of a home

Also, we have

Commission  = 114960

using the above as a guide, we have the following:

5.5% on the sale of a home = 114960

So, we have

5.5% * sale of a home = 114960

Divide both sides by 5.5%

sale of a home = 114960/(5.5%)

Evaluate

sale of a home = 2090181.82

Hence, the sale of the home is $2090181.82

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A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

9514 1404 393

Answer:

Step-by-step explanation:

The area of each triangular face is given by the formula ...

  A = 1/2bh

The triangular faces have a base of b=8 cm, and a height of h=6 cm. Their area is ...

  A = 1/2(8 cm)(6 cm) = 24 cm²

__

Each of the rectangular faces has a length of 20 cm. The width depends on which face is of interest. In each case, the area is given by ...

  A = LW

Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

__

The total area is the sum of the areas of all of the faces and bases. There are two triangular bases, so the total area is ...

  (2×24 + 160 +120 +200) cm² = 528 cm²

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

<95141404393>

The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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According to the information given in the exercise, the weight of the bag of ice when Charlotte bought it was 14 pounds, but 10% dripped out of the bag when she got home.

You can express 10% as a decimal number by 100:

Let be "x" the weight of the bag of ice (in pounds) when Charlotte got home.

Based on the above, you can write the following equation: