​Kathryn, a college​ student, works part time at a coffee house. She worked 5 StartFraction 7 Over 20 EndFraction hours on​ Monday, 4 and one half on​ Tuesday, 6 and three fourths on​ Wednesday, 3 and one fourth on​ Thursday, and 7 on Friday. How many hours did she work​ altogether? She worked nothing hours altogether.

Answer:

0.0001042

Step-by-step explanation:

You need to keep all the digits (unless you're told to round your answer).

Final answer:

To express 2.6x10^-6 in standard decimal form, the decimal point is moved 6 places to the left, giving us 0.0000026.

Explanation:

To write 2.6x10^-6 in standard decimal form, start by understanding the exponent. The notation 10^-6 means that we are moving the decimal point 6 places to the left because it is a negative exponent. Therefore, we start with 2.6 and move the decimal point to the left 6 places, which means we have to add zeros to fill in the gaps.

The final expression in standard form will be 0.0000026.

4.5% = 0.045

 multiply 18.50 by 0.045 foe the amount of sales tax

18.50 * 0.045 = 0.83

 they pay 0.83, which is 83 cents in sales tax

The mouse ran a distance of 11 feets before being caught by the cat

Using the information on the graph ;

Y - axis = Distance covered by the mouse and cat

X - axis = Time taken to cover Distance

The intersection point of the two lines is the point at which the mouse was caught .

Tracing the point to the y-axis , we get the required Distance value

Hence, from the graph, the distance is 11 feets

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Before being caught by the cat, the mouse sprinted 11 feet.

How can we apply the graph to our solution?

Using the data from the graph;

The distance traveled by the mouse and cat is represented by the Y axis.

X axis = Distance traveled in time

The spot where the two lines connect is where the mouse was trapped.

We get the requisite Distance value by tracing the point to the y-axis.

As a result of the graph, the distance is 11 feet.

Answer:

D

Step-by-step explanation:

edge

It will take approximately 50 days for the frog population to reach 150 frogs.

To find out how long it will take for the frog population to reach 150, we need to determine how many times the population needs to triple to reach that number. We start with 21 frogs and want to reach 150, so we need to triple the population 150 divided by 21, which is approximately 7.14, times. Since the population triples every 7 days, it will take approximately 7.14 times 7, or 50 days, for the population to reach 150 frogs.

50% of 44 is greater than 100 but less than 150 because the value of 250% of 44 is 110 after applying the concept of the percentage.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

250% of 44

Let x be the 250% of 44:

The value of x can be found as follows:

x = (250/100)44

x = 2.5(44)

x = 110

110 > 100

110 < 150

Or

100 < 110 < 150

Thus, 50% of 44 is greater than 100 but less than 150 because the value of 250% of 44 is 110 after applying the concept of the percentage.

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Answer:

D) [tex]8.7 * 10^{10}[/tex]

Step-by-step explanation:

The question is correctly written as below:

Which number is one million times larger than [tex]8.7 * 10^{4}[/tex]?

A) [tex]8.7 * 10^{7}[/tex]

B) [tex]8.7 * 10^{8}[/tex]

C) [tex]8.7 * 10^{9}[/tex]

D) [tex]8.7 * 10^{10}[/tex]

Consider [tex]8.7 x 10^{4}[/tex] to be number A and number B is one million times ([tex]10^{6}[/tex]) greater than number A

[tex]B = A * 10^{6}[/tex]

[tex]B = 8.7 * 10^{4} * 10^{6}[/tex]

[tex]B = 8.7 * 10^{4+6}[/tex]

[tex]B = 8.7 * 10^{10}[/tex]

D) [tex]8.7 * 10^{10}[/tex]

The inverse of the function f(x) = 7x - 1 is [tex]f^{-1}(x) = \frac{x}{7} + \frac{1}{7}[/tex]

The given function is:

f(x)  =  7x  -  1

Make x the subject of the formula

[tex]f(x) = 7x - 1\\\\7x = f(x) + 1\\\\[/tex]

Divide through by 7

[tex]\frac{7x}{7}= \frac{f(x)}{7} + \frac{1}{7}\\\\x = \frac{f(x)}{7} + \frac{1}{7}[/tex]

Replace x by [tex]f^{-1}(x)[/tex] and replace f(x) by x:

[tex]f^{-1}(x) = \frac{x}{7} + \frac{1}{7}[/tex]

Therefore the inverse of the function f(x) = 7x - 1 is [tex]f^{-1}(x) = \frac{x}{7} + \frac{1}{7}[/tex]

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Answer: For those in the future!

The answer to this is D: (4g+2)(16g^2minus8g+4)

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

did it on edg 2021

To order the numbers √7, 2, √8/2 from least to greatest, simplify √8/2 to √2. Then compare √2, 2, and √7 to find the order.

To order the numbers √7, 2, √8/2 from least to greatest, first simplify √8/2. We know that √8 = √(4*2) = 2√2, so √8/2 = (2√2)/2 = √2. Now we have √7, 2, and √2. Comparing these numbers, √2 < 2 < √7.

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The product of (x y^2 z)^3 and (-9x^2 y z)^2 is found by applying the exponent to each variable inside the parentheses and then multiplying the results together, using exponent rules to simplify. The final simplified expression is 81x^7 y^8 z^5.

To find the product of the expressions (x y^2 z)^3 and (-9x^2 y z)^2, we use the properties of exponents. First, we apply the power to each factor inside the parentheses, which means raising each base to the power outside, and then we multiply the corresponding exponents when the same base is found in both terms.

For the first expression (x y^2 z)^3, we get x^3 y^6 z^3, and for the second expression (-9x^2 y z)^2, we have 81x^4 y^2 z^2 after squaring -9 to get 81 and applying the exponent 2 to each variable.

Next, we multiply these results together: x^3 y^6 z^3 × 81x^4 y^2 z^2 = 81x^{3+4} y^{6+2} z^{3+2}, which simplifies to 81x^7 y^8 z^5. The rule of exponent addition when multiplying like bases, x^p x^q = x^{(p+q)}, is applied here to combine the variables with the same base. Our final simplified product is 81x^7 y^8 z^5.

The final answer is [tex]81 x^7 y^8 z^5.[/tex]

To find the product of the expression [tex](x y^2 z)^3 * (-9x^2 y z)^2[/tex], we can follow these steps:

1. Expand the first expression: [tex](x y^2 z)^3 = x^3 (y^2)^3 z^3 = x^3 y^6 z^3.\\[/tex]
2. Expand the second expression: [tex](-9x^2 y z)^2 = (-9)^2 (x^2)^2 y^2 z^2 = 81 x^4 y^2 z^2.[/tex]

3. Multiply the expanded expressions: [tex](x^3 y^6 z^3) * (81 x^4 y^2 z^2) = 81 x^3 x^4 y^6 y^2 z^3 z^2 = 81 x^7 y^8 z^5.[/tex]

Therefore, the final answer is [tex]81 x^7 y^8 z^5[/tex].

The price per ticket (before any additional charges) is approximately $90.79. Let's assume the price of each ticket before any additional charges (handling charge and GST) is "x" dollars.

Given that a handling charge of $5 is charged per ticket, the total handling charge for 2 tickets will be $5 * 2 = $10.

Now, let's calculate the total cost of the tickets after adding the handling charge:

Total cost of tickets (before GST) = 2x + 10

Now, the GST of 5% is charged on the ticket price and handling charges. The GST amount can be calculated as:

GST amount = 5% of (2x + 10) = 0.05 * (2x + 10) = 0.1x + 0.5

The total charge for 2 tickets, including the handling charge and GST, is given as $201.16. So, we can set up the equation:

Total cost of tickets (including GST) = Total cost of tickets (before GST) + GST amount

$201.16 = (2x + 10) + (0.1x + 0.5)

Now, solve for "x":

2x + 10 + 0.1x + 0.5 = 201.16

2.1x + 10.5 = 201.16

2.1x = 201.16 - 10.5

2.1x = 190.66

x = 190.66 / 2.1

x ≈ 90.79

So, the price per ticket (before any additional charges) is approximately $90.79.

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If the given function is F(x) = 10z. When z = 0.8, the value of the function is 8.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, the given function is F(x) = 10z.

In the given function z is the independent variable while the value of the function is a dependent variable because its value depends upon the value of z.

The variable is reliant on other measurable factors. As a result of manipulating the independent variable(s) in an experiment, these variables are anticipated to change.

The value of the function is obtained by putting the value of z in the given function,

F(x) = 10z

F(x) = 10×0.8

F(x) = 8

Thus, if the given function is F(x) = 10z. When z = 0.8, the value of the function is 8.

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The volume of a pyramid with a rectangular base and height of 2h is given by the formula V = (1/3) * Base area * Height. The base area for this pyramid is 32b² (derived from 4b * 8b), and the height is 2h. Hence, the volume equates to 64/3 b²h.

The volume of a pyramid is calculated with the formula V = (1/3) * Base area * Height. For the pyramid in question, the base is a rectangle with a length of 4b and a width of 8b, so the area of the base (A) is 4b * 8b = 32b². The height of the pyramid is given as 2h. So, by plugging these values into the formula, we obtain the volume of the pyramid as V = (1/3) * 32b² * 2h = 64/3 b²h.

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