or
On Saturday mornings, Madelyn volunteers at the hospital where her mother works. One Saturday, she answers phone calls at the information desk while the receptionist is away. Then she spends 40 minutes delivering flowers to patients' rooms. In all, Madelyn volunteers at the hospital for 90 minutes that day.
Which equation can you use to find the amount of time t that Madelyn answers phone calls?

Answer:

42,307,0102,014 is the number form

The inverse of the function y = log(x ₋ 6) is y = 10ˣ + 6.

Given the function is :y = log₁₀ (x ₋ 6)

we are asked to find the inverse of the function.

steps to find inverse function are:

Change f(x) to y to get y = ax + b for the provided function f(x) = ax + b.To get x = ay + b from the equation y = ax + b, replace x with y and y with x.

Here, find y and solve for x = ay + b.

Then we get :

y = (x - b/a).

Finally, we can substitute y = f⁻¹(x) with f⁻¹(x) = (x - b)/a.

now interchange the positions of x and y in the function.x = log₁₀(y ₋ 6)

the next step is to isolate the dependent variables.

y = 10ˣ + 6

hence we get the inverse of the function y = log₁₀ (x ₋ 6) as y = 10ˣ + 6.

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After solving, the factors of equation x²+x-6 are:

So,

Given the equation: x²+x-6

Then,

Factors are: (x+3) and (x-2)

Therefore, after solving, the factors of equation x²+x-6 are:

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For all the values of 'd' the expression 4-d will be less than 4+d.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that 4−d < 4+d. The inequality expression will be solved as:-

4−d < 4+d

4 - 1 < 4 + 1

3 < 5

4 - 2 < 4 + 2
2 < 6

It is concluded that for all the values of d in the given expression the portion 4 - d will be less than 4 + d.

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Answer:
A. 5 || how? uh counting; -7x      -1/6y      +2z      -xy         +28

B. 3 (2;x | 2;y | 1;z)

C. 28

Hope this helps!

--Blu

The simplified value of radical expression 4√16 x¹² is 2x^3.

By considering the given expression

4√16 x¹²

=(16x^12)^1/4

=(2^4)^1/4( x^12)^1/4

=2x^3.

An expression with a square root is referred to as a radical expression. Radicand: A value or phrase contained within the radical symbol. Equation with radical expressions and variables as radicands is referred to as a radical equation.

The 'V'-shaped portion of the radical symbol will have a superscript number when it is used to represent any root other than a square root. For instance, the expression 3(8) denotes the cube root of 8.

The radical symbol, which resembles a check mark, the index, a small number written outside the radical symbol, and the radicand, a quantity written beneath the horizontal bar of the radical symbol, are the three main components of the radical expression ab.

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The hypotenuse of the right triangle is found to be 6√2 ft.

The formula is as follows:

H² = B² + P²

where, H is the hypotenuse.

B is the base

P is the perpendicular.

In the given question, hypotenuse is to be calculated.

Lets, base B = 6 ft and

Perpendicular P = 6 ft.

Thus, put the values in the formula;

H² = 6² + 6²

H² = 2×6²

Taking square root on both sides.

H =  6√2

Thus, the value of the hypotenuse if the right angled triangle is found as  6√2 ft.

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Answer:

-28

Step-by-step explanation:

Simplify those in parenthesis first.

( 30 - 3) - (60 - 5)

27 - 55

= -28

The value of x can not be told as there is no answer to the question "x+26".

Hence, can not be solved and it is left as 'x+26'

Answer:  1.   x-8

               2.   x/8

               3.   x squared

               4.  4x

When they say "a number" that just means "x".

Answer:of not

Step-by-step explanation: ops

The answer to this question is:

No. of cups of milk will Paula use = 3/8

Given that recipe requires 3/4 cups of milk.

Paula is making half (1/2) of the recipe.

And we are asked to find that No. of cups of milk will Paula use.

To solve this question,  we have to multiply the quantity of milk required by the quantity she is going to make.

The quantity of milk required * the quantity she is going to make

= 3/4 * 1/2

= 3/8

Therefore, No. of cups of milk will Paula use = 3/8

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Answer:

0 with 0 2 pi cot0=-10 am not sure what It is

Answer:

The correct answer is A.

After solving the given equation ln(x+2)-ln4=3, the value of [tex]x=e^{4 \ln +3}-2[/tex].

So,

Then,

Therefore, after solving the given equation ln(x+2)-ln4=3, the value of [tex]x=e^{4 \ln +3}-2[/tex].

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For every hour spent watching television, the amount of time spent sleeping drops by an Graph hour.

Graph: A graph is a visual representation, such as a picture or diagram, that shows information or values in a structured way.

The relationships between two or more items are frequently represented by the points on a graph.

Various Graph Types

Pictograph

The term "pictograph" refers to the visual depiction of information. Each graphic represents a specified number of objects.

Line Graph:

In a line graph, dots are connected by lines to depict changes over time.

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Answer:

5x^2 -  6x -9

Step-by-step explanation:

The algebraic expression which correctly represents the verbal description; The total cost of the order, t, is 11 dollars multiplied by the number of pizzas ordered, p is; t = 11p.

It follows from the task content that the expression which correctly represents the verbal description be determined.

On this note, since total cost is; t and the number of pizzas ordered is; p.

The required expression is therefore;

t = 11 × p

t = 11p.

Ultimately, the verbal representation of the algebraic expression where total cost of the order, t, is 11 dollars and number of pizzas ordered, is p is given by t = 11p.

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Categorical variable: job titles, location

Quantitative variable: starting salary, number of years post-experience

Categorical variables represent many data kinds that can be grouped. Race, sex, age, and educational level are a few examples of categorical variables.

In addition, categorical variables are any variables where the data represent groups, as opposed to quantitative variables, which are any variables where the data indicate amounts, such as height, weight, or age.

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Given the function and interval, the average rate of change of the function over the given interval is 1.

The average rate of change of a function is calculated by dividing the change in y-values over the change in x-values of the two point.

r = ( f(1) - f(0) / ( (1) - (0) )

Given the data in the question;

f(x) = 2x² - x - 2

Intervals: [0, 1]

Plug the given values into the average rate of change formula and simplify.

r = ( f(1) - f(0) / ( (1) - (0) )

r = ( (2(1)² - (1) - 2) - ( 2(0)² - (0) - 2 )) / ( (1) - (0) )

r = ( (2 - 1 - 2) - ( 0 - 0 - 2 )) / 1 -0

r = ( (-1) - (-2 )) / 1r = ( -1 - (-2 ) / 1

r = ( -1 + 2 ) / 1

r = 1/1

r = 1

Therefore, the average rate of change of the function over the given interval is 1.

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The average rate of change of the function f(x) = 2x² - x - 2 over the intervals of 0 to 1 is 1.

The average rate of change of a function is calculated by dividing the change in y-values over the change in x-values of the two point.

AVR = ( f(1) - f(0) / ( (1) - (0) )

Given the data in the question;

Plug the given values into the average rate of change formula and simplify.

r = ( f(1) - f(0) / ( (1) - (0) )

r = ( (2(1)² - (1) - 2) - ( 2(0)² - (0) - 2 )) / ( (1) - (0) )

r = ( (2 - 1 - 2) - ( 0 - 0 - 2 )) / 1 -0

r = ( (-1) - (-2 )) / 1

r = ( -1 - (-2 ) / 1

r = ( -1 + 2 ) / 1

r = 1/1

r = 1

The average rate of change of the function f(x) = 2x² - x - 2 over the intervals of 0 to 1 is 1.

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The equation that represent amount of oil in the tank at x minutes is

6- 0.2t

A mathematical statement that shows that two mathematical expressions are equal.

Given:

rate of filling the tank = 0.2 feet/ minute

After 15 minutes,

height = 6 feet

let the time take be x minutes

So, the equation that represent amount of oil in the tank at x minutes.

=6- 0.2t

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Answer:

[tex]\frac{4080n+1585d-188}{240}[/tex]

Step-by-step explanation:

I simplified it to the best possible state

According to the given cubic equation  8x³-10x² - 21x + 18 = 0 the other value of x will be 4.

Traditionally, a cubic problem can be solved by converting it to a quadratic equation and then solving it using factoring or the quadratic formula. A cubic equation, like a quadratic equation, has three roots.

The typical strategy for solving a cubic problem is to convert it to a quadratic equation and then solve the quadratic using the standard methods, either factoring or using the formula. All of them are cubic equations. A cubic equation, like a quadratic equation, may have two or three real roots.

8x³-10x² - 21x + 18 = 0

x= 2

substituting the value in the equation we get:

8x³-10x² - 21x + 18 = 0

8(2)³-10(2)² - 21(2) + 18 = 0

68 - 40 - 42 + 18 = 0

4 = 0

According to the given equation  8x³-10x² - 21x + 18 = 0 the other value of x will be 4.

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The fraction 13/20 of Duo's dumplings have vegetarian fillings.

A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.

Given:

Duo makes 65 percent of his dumplings with vegetarian fillings.

According to given question we have

A percentage is a number or ratio expressed as a fraction of 100.

65 percent

=65 %

=65/100

Simplify fraction into simpler fraction,

⇒13/20

Therefore, the fraction 13/20 of Duo's dumplings have vegetarian fillings.

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The midpoint of the segment is (7, 4).

According to the section formula-

If a point (x , y) divides a line in the ratio of m : n, where the two endpoints of the line are (x1, y1) and (x2, y2), then-

x = (nx1 + mx2)/ (m + n)

and y = (ny1 + my2)/ (m + n)

Here, we are given two points- (9, 6) and (5, 2)

Therefore,

x1 = 9, y1 = 6

x2 = 5, y2 = 2

Since, midpoint divides a line segment into two equal halves, m : n = 1 : 1

Now, substituting the values in the section formula we get-

x = (9 + 5)/2

x = 14/2

x = 7

and y = (6 + 2)/2

y = 8/2

y = 4

Thus, the midpoint of the segment is (7, 4).

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$ 86.67 , Steve and his five friends has to pay $86.67 each to rent limo for four hours.

According to the question,

rent of limo for five hours = $130

now by multiplication ,

rent of limo for four hours = $130 * 4

                                           = $520

now we know that there are six people including Steve hence we divide this $520 by 6 to get the share of each individual,

by division ,

hence the amount for each = $520 / 6

                                              = 86.666666

amount round up to the nearest dollar is $86.67

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The fraction that Alice, Billy, and Anna should bring when they are spending the weekend baking cookies for winter holiday is 11/12 cups.

It should be noted that based on the information, for each batch of cookies, they’ll need 2 1/2 cups of flour and 1 1/4 cups of butter.

In this case, it should be noted that there are 3 people.

The fraction will be:

= (2 1/2 + 1 1/4) / 3

= 3 3/4 ÷ 3

= 11/12

Therefore, the fraction will be 11/12 cups for each person.

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Alice, Billy, and Anna are spending the weekend baking cookies for.winter holiday gifts. For each batch of cookies, they’ll need 2 1/2 cups of flour and 1 1/4 cups of butter. Each person contributed supplies from their mothers’ kitchens and met at Anna’s house. What fraction should each person bring?

Christopher's age given the sum of the ages of the three siblings is 23.

An odd number is a number that is not perfectly divisible by 2. An odd number can be a positive number or a negative number. An example of an odd number is 3 and 7.

Consecutive odd integers are odd integers that follow each other on the number line. Consecutive odd integers increase by a value of (x + 2). Examples of consecutive odd integers are 11, 13, 15.

Let x represent the youngest sibling's age

Second sibling's age : x + 2

Christopher's age : x + 4

x + x + 2 + x + 4 = 63

3x + 6 = 63

3x = 63 - 6

3x = 57

x = 57 / 3

x = 19

Christopher's age : x + 4 : 19 + 4 = 23

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