A baby gains 11 pounds in its first year of life. The baby gained 4-1/4 pounds during the first four months and 3-1/2 pounds
in its second four months. How much did the baby gain in the last four months?
O 3 pounds
O 3 pounds
O4 pounds
O 5 pounds

Answer: The distributive property

Step-by-step explanation: The distributive property ALWAYS has 1 number that is outside the parentheses. I know you didn't ask for this, but you can use the distributive property to write an equivalent expression by multiplying (or distributing) the 13 by every # inside the parentheses, so your new equation would look like 260 x 65. I hoped this explanation and example help you understand now.

The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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Answer:

\(\frac{28}{n}\)

Step-by-step explanation:

Part a

The altitude in miles = 6.07 miles

Part b

Head wind in miles per hour = 439.30 miles per hour

Part c

The headwind in miles per hour = 114.35 miles per hour

Part d

The temperature in degree Fahrenheit = -41.8 degrees Fahrenheit

Part a

The altitude = 9770 meters

To convert meter to miles, divide the length by 1609

Therefore,

9770 meters = 9770/1609

=6.07 miles

Part b

The ground speed = 707 km/hours

To convert km per hour to miles per hour, divide the speed value by 1.609

707 km/hour = 707/1.609

= 439.30 miles per hour

Part c

The head wind = 184 km/hour

To convert km per hour to miles per hour, divide the speed value by 1.609

184 km/hour = 184/1.609

= 114.35 miles per hour

Part d

The outside air temperature = -41 degree C

F = (9/5)C + 32

= (9/5)×-41+32

= -41.8 degrees Fahrenheit

Hence,

Part a

The altitude in miles = 6.07 miles

Part b

Head wind in miles per hour = 439.30 miles per hour

Part c

The headwind in miles per hour = 114.35 miles per hour

Part d

The temperature in degree Fahrenheit = -41.8 degrees Fahrenheit

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Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer:

Step-by-step explanation:

the pic dosnt show

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

By doing addition and subtraction of integers, the result obtained is

Mohammed had $5290 at the end of the month

What is addition and subtraction of integers?

At first it is important to know about integers

Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.

Suppose there are many integers, and we need to find the sum total of all those integers, then the operation used in this case is called addition.

To find how big or small one integer is from the other, then the operation used is called subtraction of integers.

Here we will use addition and subtraction of integers

Bank balance of Mohammed = $8376

Amount of money taken out by Mohammed next month to buy a car = $4595

Amount of money needed to buy new tires for his car = $1200

Amount of salary received by Mohammed next day = $2709

Amount of money Mohammed had at the end of the month =

$(8376 - 4595 - 1200 + 2709)

= $5290

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Using the formula for the area of a rectangle, the area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x

From the question, we are to calculate the area of the cellphone shown in the diagram

From the given information,

We have a diagram that shows a cellphone which is rectangular in shape.

Thus,

We will use the formula for finding the area of a rectangle to calculate the area of the cellphone.

Area of a rectangle = Length * Width

From the given information,

Length of the cellphone = 6x²y⁶

Width of the cellphone = 3x⁻³y²

Thus,

Area of the cellphone = 6x²y⁶ × 3x⁻³y²

Area of the cellphone = 6 × 3 × x² × x⁻³ × y⁶ × y²

Area of the cellphone = 18 × x⁻¹ × y⁸

Area of the cellphone = 18x⁻¹y⁸ OR 18y⁸/x

Hence,

The area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x

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Answer:

-----------------

Find the differences in the sequence  -11, -7, -3, 1, ...

The difference is common, so the sequence is an AP.

The nth term is:

Find the 52nd term:

Find the 52nd term using the given formula:

Find the previous term:

Find the common difference:

Answer:

\(\begin{aligned}\textsf{34)} \quad d&=4\\a_n&=4n-15\\a_{52}&=193\end{aligned}\)

\(\begin{aligned}\textsf{35)} \quad d&=-4\\a_{52}&=-238\end{aligned}\)

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Given sequence:

To determine if the given sequence is arithmetic, calculate the differences between consecutive terms.

\(a_4-a_3=1-(-3)=4\)

\(a_3-a_2=-3-(-7)=4\)

\(a_2-a_1=-7-(-11)=4\)

As the differences are constant, the sequence is arithmetic, with common difference, d = 4.

The explicit formula for an arithmetic sequence is:

\(\boxed{a_n=a+(n-1)d}\)

where:

To find the explicit formula for the given sequence, substitute a = -11 and d = 4 into the formula:

\(\begin{aligned}a_n&=-11+(n-1)4\\&=-11+4n-4\\&=4n-15\end{aligned}\)

To find the 52nd term, simply substitute n = 52 into the formula:

\(\begin{aligned}a_{52}&=4(52)-15\\&=208-15\\&=193\end{aligned}\)

Therefore, the 52nd term is a₅₂ = 193.

\(\hrulefill\)

Given explicit formula for an arithmetic sequence:

\(a_n=-30-4n\)

To find the common difference, we need to compare it with the explicit formula for the nth term:

\(\begin{aligned}a_n&=a+(n-1)d\\&=a+dn-d\\&=a-d+dn\end{aligned}\)

The coefficient of the n-term is -4, therefore, the common difference is d = -4.

To find the 52nd term, simply substitute n = 52 into the formula:

\(\begin{aligned}a_{52}&=-30-4(52)\\&=-30-208\\&=-238\end{aligned}\)

Therefore, the 52nd term is a₅₂ = -238.

Answer:

3 : 10

Step-by-step explanation:

2 kg = 2000g

600g peanuts : 2000 cashew nuts

600 : 2000

divide both sides by a common divisor ( 200)

600/200 : 2000/200

3 : 10

Answer:

49.2

9

Step-by-step explanation:

7.46² - 2.54² = (7.46 - 2.54)(7.46 + 2.54)

                     = (4.92)(10)

                     = 49.2

(1 x 4) x 3 = [1² + √(1 x 4)] x 3 = [1 + √4] x 3 = [1 + 2] x 3 = 3 x 3 = 9

The equation of the graph is y = 10x and the visual representation of the graph is given in the picture.  

To graph, the line that represents the relationship between the time Jermaine rides his bicycle and the distance he travels use the slope-intercept form of a linear equation.

This form of the equation is used to represent a straight line on a graph, where the slope represents the rate of change of the dependent variable with respect to the independent variable, and the y-intercept represents the initial value of the dependent variable when the independent variable is 0.

Here we have

Jermaine decides to travel at a constant speed and travels 50 miles in 5 hours.

To graph the line that represents the relationship between the time and the distance he travels, we can use the formula for the slope-intercept form of a linear equation:

    y = mx + b

We know that Jermaine travels 50 miles in 5 hours

Slope (m) = (change in y) / (change in x) = (50 - 0) / (5 - 0) = 10

This tells us that for every 1 hour that Jermaine rides his bicycle, he travels 10 miles.

Hence, the equation of the line y = 10x + b

Take x = 0 and y = 0   [ Since the line passes through (0, 0)

=> 0 = 10(0) + b

=> b = 0

This tells us that the y-intercept of the line is 0.

Hence, the equation of the line, y = 10x

Now draw the graph of y = 10x as shown below

Therefore,

The equation of the graph is y = 10x and the visual representation of the graph is given in the picture.  

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Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

Option (2)

Step-by-step explanation:

Given expression is \(\sqrt[3]{64a^6b^7c^9}\)

By simplifying this expression,

\(\sqrt[3]{64a^6b^7c^9}=\sqrt[3]{(4)^3(a^2)^3(b^2)^3(b)(c^3)^3}\)

                 \(=(4a^2b^2c^3)\sqrt[3]{b}\)

Option (1)

\(2abc^2\sqrt[3]{4a^2b^3c}\) = \(2ab^2c^2\sqrt[3]{a^2c}\)

Option (2)

\(4a^2b^2c^3(\sqrt[3]{b})\) [Fully simplified form]

Option (3)

\(8a^3b^3c^4(\sqrt[3]{bc} )\) [Fully simplified form]

Option (4)

\(8a^2b^2c^3(\sqrt[3]{b})\)

Expression given in Option (2) is equivalent to the given expression.

Option (2) will be the answer.

Answer:

Step-by-step explanation:

The surface area of a rectangular prism calculator gives us the answer: A = 2 * l * w + 2 * l * h + 2 * w * h = 2 * 8 ft * 6 ft + 2 * 8 ft * 5 ft + 2 * 6 ft * 5 ft = 236 ft² .

If 30% children travelling by bus is represented by 360 children, then total number of students who attended the school are 1200.

The "Percent" is a way of expressing a fraction or proportion as a number out of 100. It is a unit of measurement used to represent the relative size or amount of something compared to the whole.

If 30% of the children at a particular school travel by bus and this represents 360 children, we use this data to find total number of children who attend the school.

Let "X" be = total number of children at the school.

We know that 30% of X represents 360 children, so we can write an equation:

⇒ 30% of X = 360,

⇒ 30% × X = 360,

⇒ 0.3 × X = 360,            ...because 30% = 0.3,

⇒ X = 360/0.3 = 1200,

Therefore, there are 1200 students who attend the school.

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Answer:

John's Computer Software Store

A) Probability that a person who walks by the store will enter the store:

= 41%

B) The probability that a person who walks into the store will buy something:

= 45%

C) The probability that a person who walks by the store will come in and buy something:

= 18%

D) The probability that a person who comes into the store will buy nothing:

= 55%

Step-by-step explanation:

a) Data and Calculations:

Number of people who walked by the store yesterday = 137

Number of those who came into the store = 56

Number of people who came into the store and bought something = 25

Number of people who came into the store and bought nothing = 31 (56 - 25)

A) Probability that a person who walks by the store will enter the store:

= 56/137

= 0.4087

= 0.41

= 41%

B) The probability that a person who walks into the store will buy something:

= 25/56

= 0.4464

= 0.45

= 45%

C) The probability that a person who walks by the store will come in and buy something:

= 56/137 * 25/56

= 0.41 * 0.45

= 0.1845

= 0.18

= 18%

D) The probability that a person who comes into the store will buy nothing:

= 31/56

= 0.5536

= 0.55

= 55%

The value of the probability is 0.0714.

According to the statement

We have to find that the students' favorite color was red.

So, For this purpose, we know that the

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

From the given information:

A bag 2 contains 2 red marbles, 2 green marbles, and 4 blue marbles.If we choose a marble, then another marble without putting the first one back in the bag.

Then

A bag contains 2+2+4=8 marbles in total.

We have to search out the probability of the subsequent events:

1. we've to settle on a red marble from the bag that contains 8 marbles in total, 2 of them are red

2. we've to decide on a green marble from the bag that contains 7 marbles in total, 2 of them are green.

The probability of the primary event to happens is:

P(one) = 2/8 = 1/4.

The probability of the second event to happen is:

P(two) = 2/7

The probability of both events to happen is:

P = P(one) * P(two)

P = 1/4 * 2/7

P = 1/14

P = 0.0714.

So, The value of the probability is 0.0714.

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Answer:

1/4

Step-by-step explanation:

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Angela's friend earned a salary of $950 plus a commission of $1,599.50 for a total earnings of $2,549.50 in the month they both sold $23,800 worth of merchandise.

To find out how much Angela's friend earned in the same month, we need to first calculate their commission earnings.

Angela's commission earnings can be found by multiplying the total sales by her commission rate of 11%:

Commission earnings = $23,800 x 0.11 = $2,618

Now, let's calculate her friend's commission earnings. First, we need to subtract the salary from the total sales:

Total sales - Salary = Commissionable sales
$23,800 - $950 = $22,850

Next, we can calculate the commission earnings by multiplying the commissionable sales by the commission rate of 7%:

Commission earnings = $22,850 x 0.07 = $1,599.50

Adding the commission earnings to the salary gives us the total earnings for the month:

Total earnings = $950 + $1,599.50 = $2,549.50

Therefore, Angela's friend earned $2,549.50 for the same month.
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Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.

A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages ​​are:

L1, which has exactly one "a" but any number of "bs".

L2, which has an odd number of "as" and an even number of "bs".

L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.

L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".

L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.

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