3=log(0.60)0.216\(3=log0.60.216\)

Answer:

Step-by-step explanation:

Use a distributive property.

Distributive property:

\(\Longrightarrow: \sf{A(B+C)=AB+AC}\)

⇒ 6(x-4)=10

First, divide by 6 from both sides.

⇒ 6(x-4)/6=10/6

Solve.

⇒ x-4=5/3

Add by 4 from both sides.

⇒ x-4+4=5/3+4

Solve.

5/3+4

4*3/3+5/3

4*3+5/3

4*3=12

12+5=17

x=17/3

Dividing is another option.

17/3=5.6

x=17/3=5.6

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

21

Step-by-step explanation:

7 + 3 x 5

        7+15

21

Answer:

pemdas do multiplication first so 5x3=15 so 15+7 equals22 the anwser 22

Step-by-step explanation:

The transformation T(-7, 2) indicates that the graph should be translated 7 units to the left and 2 units up.

To identify the graph of (x+3)^2-4y, we need to first recognize that this is a quadratic equation in two variables, x and y. We can rewrite this equation as:
4y = (x+3)^2 - T
y = (1/4)(x+3)^2 - T/4
This is the equation of a parabola that opens upwards and has its vertex at the point (-3, -T/4). The value of T determines the vertical shift of the parabola. When T is positive, the parabola shifts downward, and when T is negative, the parabola shifts upward.

To write the equation of the translated or rotated graph in general form, we can use the standard form of a quadratic equation:
y = ax^2 + bx + c
Expanding the equation we found earlier, we get:
y = (1/4)x^2 + (3/2)x + 9/4 - T/4
Comparing this with the standard form, we see that:
a = 1/4
b = 3/2
c = 9/4 - T/4 = (9-T)/4
So the general form of the equation is:
y = (1/4)x^2 + (3/2)x + (9-T)/4
To apply the transformation, we can adjust the equation as follows:
((x + 7) + 3)^2 - 4(y - 2) = 0
(x + 10)^2 - 4(y - 2) = 0
Now we have the equation of the translated graph in general form:
(x + 10)^2 - 4(y - 2) = 0

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Answer:

The answer would be (3,0).

Answer:

Point of origin 'POI' =(3,0)

Step-by-step explanation:

(i)check both equations.The coefficient of x and y should be the same .And then eliminate .If the coefficient are different then multiply by a constant.

(ii)subtract the term either from x and y to make it equal to zero.

(iii)substitute y value to one of the equation.

Answer:

14

Step-by-step explanation:

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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The people are moving apart at a rate of approximately 7.42 ft/min, 2 hours after the man starts walking.

Let's start by thinking about the horizontal component. When the lady begins to walk after 2 hours (or 120 minutes), the guy has been walking for a total of 150 minutes, having walked for 30 minutes. The man is moving at a steady speed of 5 feet per second, hence the horizontal distance he has traveled is:

Horizontal distance = (5 ft/s) * (150 min) = 750 ft.

Let's now think about the vertical component. After starting her walk 30 minutes after the male, the lady has covered 120 minutes of distance. She moves at a steady 4 feet per second, so the vertical distance she has reached is:

Vertical distance = (4 ft/s) * (120 min) = 480 ft.

The horizontal and vertical distances act as the legs of a right triangle as the people move apart. We may apply the Pythagorean theorem to determine the speed at which they are dispersing:

\(Distance^2 = Horizontal distance^2 + Vertical distance^2.\)

\(Distance^2 = (750 ft)^2 + (480 ft)^2.\)

\(Distance^2 = 562,500 ft^2 + 230,400 ft^2.\)

\(Distance^2 = 792,900 ft^2.\)

\(Distance = sqrt(792,900 ft^2).\)

Distance ≈ 890.74 ft.

Now, we need to determine the rate at which they are moving apart. Since they are 2 hours (or 120 minutes) into their walks, we can calculate the rate at which they are moving apart by dividing the distance by the time:

Rate = Distance / Time = 890.74 ft / 120 min.

Rate ≈ 7.42 ft/min.

Therefore, the people are moving apart at a rate of approximately 7.42 ft/min, 2 hours after the man starts walking.

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Answer:

A is correct. Car D will go furthest.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Substitute:

Calculate the product or quotient:

Calculate the sum or difference:

Obtain a simplified relation:

Determine true or false: True

Answer: True

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

Day  Total hours worked  regular hours        Overtime hours  

Monday              7                                        7                             0

Tuesday            10                                       8                             2

Wednesday     8                                       8                             0

Thursday     10                               8                             2

Friday              11                               8                             3

Saturday              2                                       2                             0

Step-by-step explanation:

The remaining part of the question is attached

Solution

A person can work maximum of 8 hours in a day

Overtime paid during week day = 1.5 times of $ 9.50 = $14.25

Overtime paid during weekend = 2 times of $ 9.50 = $19

Day  Total hours worked  regular hours        Overtime hours  

Monday              7                                        7                             0

Tuesday            10                                       8                             2

Wednesday     8                                       8                             0

Thursday     10                               8                             2

Friday              11                               8                             3

Saturday              2                                       2                             0

1. The regular hours that Robert LaClerq worked is 41 hours (39 for weekdays and 2 for weekend), while the overtime hours is 7 hours.

2. The calculation of Robert's regular pay is $370.50 (39 x $9.50).

3. The calculation of Robert's overtime pay during weekdays = $66.50 (7 x $9.50).

4. The calculation of Robert's overtime pay on weekends = $38.00 (2 x $19.00).

Overtime pay is the wage payment to an earner for working above the normal (regular) working hours.

Wages per hour for regular hours = $9.50

Overtime pay during weekdays = $9.50 per hour

Overtime pay during weekends = $19 per hour ($9.50 x 2)

Day               Total hours    Regular     Overtime

                      worked           hours         hours

Monday              7                   7                0 (7 - 7)

Tuesday           10                   8                2 (10 - 8)

Wednesday      8                    8                0 (8 - 8)

Thursday         10                    8                2 (10 - 8)

Friday               11                     8               3 (11 - 8)

Saturday           2                    2               0 (2 - 2)

Total hours    48                   41               7

Thus, Robert's total earnings for the week is $475 ($370.50 + $66.50 + $38.00).

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Answer:

2nd one I think

Step-by-step explanation:

First shape yz is 3 squares and second shape is 6 squares which is times by two and it is reflected on the y axis I think

Answer:

31557778998765432

Step-by-step explanation:

is it impossible

The simplified form of the linear equation y =10(0.91)x is y = 9.1x.

To solve the equation y = 10(0.91)(x), we can simplify the expression on the right side of the equation.

First, we can multiply 10 and 0.91:

y = 9.1x

Now, we have a simple linear equation in the form y = mx, where m represents the slope of the line. In this case, the slope is 9.1.

This equation represents a line with a slope of 9.1 and a y-intercept of 0. The value of y depends on the value of x. For each increase of 1 in x, y will increase by 9.1.

To find specific solutions, you can substitute different values for x and solve for y. For example:

If x = 1, then y = 9.1(1) = 9.1

If x = 2, then y = 9.1(2) = 18.2

The equation y = 9.1x represents a line that increases at a rate of 9.1 units in the y-direction for every 1 unit increase in the x-direction. The line passes through the origin (0,0) and has a positive slope, indicating a positive relationship between x and y.

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The complete question:

Solve: y = 10(0.91)x

Answer:

-6

Step-by-step explanation:

She added a negative number with a positive number

Answer:

-6

Step-by-step explanation:

-3.3+(-2.7)= -3.3-2.7 = -6

Maureen probably did 3.3-2.7 instead of -3.3-2.7.

Hope this helps!!!

Answer:

two mulplied by x plus seven

Step-by-step explanation:

2x is 2 mulplied by x and then + 7  is  plus seven put it all together and you get 2 mulplied by x plus seven

does that

make sense?

Answer: 60

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

far away

Answer:3 inches

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

because alternate angles are the same

A square is always a rhombus!

The outcome space for this situation consists of all possible outcomes of the raffle, which are the numbers from 1 to 500.

Let's denote the events as follows:

A = One of my tickets is the winner

B = Neither my friend nor I win the raffle

C = The number on the winning ticket is just 1 away from the number on one of my tickets

To represent each of these events as subsets of the outcome space, we can list the numbers that satisfy each event:

a) One of my tickets is the winner (Event A):

Event A is represented by the subset of the outcome space containing the numbers 17, 93, and 202.

A = {17, 93, 202}

b) Neither my friend nor I win the raffle (Event B):

Event B is represented by the subset of the outcome space containing all the numbers except the ones I have and my friend has. This can be represented by subtracting the sets of our ticket numbers from the entire outcome space.

B = {1, 2, 3, ..., 500} - {17, 93, 202, 4, 101, 102, 398}

c) The number on the winning ticket is just 1 away from the number on one of my tickets (Event C):

Event C is represented by the subset of the outcome space containing the numbers that are one greater or one less than the numbers on my tickets.

C = {16, 18, 92, 94, 201, 203}

Note: In the subsets, the numbers inside the curly braces represent the numbers that satisfy the corresponding events.

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Semantics is the branch of linguistics that explores how meaning is conveyed through language. In the context of big data, it refers to the changes in the interpretation of data and how it can be used to yield meaningful insights.

Semantics is a branch of linguistics that deals with the study of meaning in language. In the context of big data, semantics relates to how data is interpreted and how it can be used to gain meaningful insights. Semantic analysis looks at the context of data and how it changes in meaning over time. This analysis helps to understand how the data can be used to make decisions, solve problems, and improve processes. Semantic analysis also helps to identify trends, relationships, and patterns in data that can be used to formulate decisions, plans, and strategies. By understanding the changes in meaning, organizations can use the data to make more informed and accurate decisions.

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To find the lateral area of a pentagonal pyramid, you need to calculate the sum of the areas of the five triangular faces that make up the sides of the pyramid.

The formula for the lateral area of any pyramid is given by L = (1/2)Pl, where P represents the perimeter of the base and l represents the slant height of each triangular face.

In the case of a pentagonal pyramid, the base is a pentagon, which means it has five sides. To calculate the perimeter of the base, you can add the lengths of all five sides. Once you have the perimeter, you need to find the slant height, which is the distance from the apex (top) of the pyramid to the midpoint of any side of the base triangle.

Once you have the perimeter and slant height, you can substitute these values into the formula L = (1/2)Pl to calculate the lateral area of the pentagonal pyramid.

It's important to note that the lateral area only considers the surface area of the sides of the pyramid, excluding the base. If you want to find the total surface area, you need to add the area of the base as well.

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\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-16}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~16 - (-16)~~)^2 + (~~4 - 11~~)^2} \implies d=\sqrt{(16 +16)^2 + (4 -11)^2} \\\\\\ d=\sqrt{( 32 )^2 + ( -7 )^2} \implies d=\sqrt{ 1024 + 49 } \implies d=\sqrt{ 1073 }\implies d\approx 32.76\)

The fact that the cards are replaced means that the probability of picking an ace exactly two times after replacing the card 5 times is 0.47%

As the cards are replaced, this makes this an independent probabilities problem.

The probability of getting an ace exactly two times is:

= Probability of getting ace once x Probability of getting ace once x Probability of not getting ace³

Solving gives:

= 4/52 x 4/52 x (48/52)³

= 0.00465

= 0.47%

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Answer:

0

Step-by-step explanation:

Answer:

a = −1 or a = 7

Step-by-step explanation:

Let's solve your equation step-by-step.

( a − 7 ) ( a + 1 ) = 0

Step 1: Simplify both sides of the equation.

a^2 − 6a − 7 = 0

Step 2: Factor left side of equation.

( a + 1 ) ( a − 7 ) = 0

Step 3: Set factors equal to 0.

a + 1 = 0 or a − 7 = 0

a = −1 or a = 7

Answer:

19/25 metres

Step-by-step explanation:

From the question, we are given;

Total length of the string = 3 4/5 metres

If the string is cut into 5 equal size, the length of each piece will be expressed as;

Length of each piece = Total string length/5

Length of each piece = (3 4/5)/5

Length of each piece = 19/5 ÷ 5

Length of each piece = 19/5 ×1/5

Length of each piece = 19/25 metres

Hence the length of each piece she cut is 19/25 metres