Jose is x years old. His brother, Felipe, is 2 years older than Jose. Their aunt, Maria, is three times as old as Felipe. Write and simplify an algebraic expression to show Maria’s age in years. (Hint: your answer will not be a number...it will be an algebraic expression)

Answer:

1/9 = 0.111

2/9 = 0.222

Step-by-step explanation:

1/9 = 0.111

2/9 = 0.222

Answer:

Step-by-step explanatioN

1/9 = WE DIVIDE 1 ÷  9 WE GET 0.1111111111

0.1111111111 TO ONE SIGNIFICANT FIGURE = 0.1                  

    TWO SIG.FIG = 0.11                  T

HREE SIG.FIG 0.111

2/9= WE DIVIDE 2 BY 9 WE GET 0.22222222

SO WE ROUND TO ONE SIG .FIG.

RATE ME AND THANK ME

Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

Answer:

5200

Step-by-step explanation:

99.6 can be rounded to 100.

100*52 is 5200

Answer:

5200.

Step-by-step explanation:

The answers to all the subparts are:

So,

Given:

(1) An equation to model the situation:

(2) Money in the account after 4 years:

(3) To find how will it be until there is $5000 in the account:

Therefore, the answers to all the subparts are:

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The complete question is given below;
$1500 is put into an account earning 7% annual interest, compounded continuously.

1. Write an equation to model the situation

2. How much money will be in the account after 4 years?

3. How will it be until there is $5000 in the account?

Answer:

I think..........

Step-by-step explanation:

x=5,11

y=8,8,11

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Solution details:

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

There are four 2s and four 4s in the deck.

Therefore, the probability of drawing one of these cards is 4/52.

Simplifying it, 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

There are four Kings in the deck, and there are 13 spades in the deck, including the King of spades.

There are four Kings, including the King of spades.

Four plus 13 equals 16 total cards.

The probability of drawing one of these cards is 16/52.

Simplifying it, 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

There are 13 hearts in the deck, and we’re assuming that you’re drawing with replacement.

As a result, the probability of drawing two hearts is (13/52) × (13/52).

Simplifying it, 169/2704.  

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Since the first ace has a probability of 4/52, or 1/13, the probability of the second ace is 3/51.

This is since one card has been removed from the deck, making it 51 instead of 52.

Multiplying the two probabilities gives us (4/52) × (3/51) or 12/2652. Simplifying it, 1/221.

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Answer:

2486.88

Step-by-step explanation:

Find the area of the pizza. A=πr²

the radius is half the diameter so here it's 6.

A= π6²

6²=36

36 × 3.14= 113.04

the pizza is 113.04 in². multiply that by 22.

Answer:

2487

Step-by-step explanation:

This is correct for k12 people

Answer:

Your answer would be 10.582575695, the rounded answer would be 10.60.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

This is because the projection of a vector onto the Subspace it already belongs to is the vector itself. Therefore, Pw u = u.

To prove the statement, "for any u in Rn, Pw u = u if and only if u is in W," we need to demonstrate both directions of the "if and only if" statement.

Direction 1: If Pw u = u, then u is in W.

Assume that Pw u = u. We want to show that u is in W.

Recall that Pw u represents the projection of u onto the subspace W. If Pw u = u, it means that the projection of u onto W is equal to u itself.

By definition, if the projection of u onto W is equal to u, it implies that u is already in W. This is because the projection of u onto W gives the closest vector in W to u, and if the closest vector is u itself, then u must already be in W. Therefore, u is in W.

Direction 2: If u is in W, then Pw u = u.

Assume that u is in W. We want to show that Pw u = u.

Since u is in W, the projection of u onto W will be equal to u itself. This is because the projection of a vector onto the subspace it already belongs to is the vector itself. Therefore, Pw u = u.

By proving both directions, we have shown that "for any u in Rn, Pw u = u if and only if u is in W."

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We have proved both directions of the statement, and we can conclude that, for any u in Rn, Pw u = u if and only if u is in W.

To prove that, for any u in Rn, Pw u = u if and only if u is in W, we need to prove both directions of the statement.

First, let's assume that Pw u = u. We need to prove that u is in W. By definition, the projection of u onto W is the closest vector in W to u. If Pw u = u, then u is the closest vector in W to itself, which means that u is in W.

Second, let's assume that u is in W. We need to prove that Pw u = u. By definition, the projection of u onto W is the closest vector in W to u. Since u is already in W, it is the closest vector to itself, which means that Pw u = u.

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Answer:The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company:

Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)

Step-by-step explanation:

True, when nesting loops, the inner loop must be completely contained within the outer loop and must use a different control variable.

When nesting loops, one loop is placed inside another loop. The purpose of nesting loops is to execute a set of instructions repeatedly in a structured manner. In this context, the statement is true: the inner loop must be entirely contained within the outer loop, and a different control variable must be used for each loop.

By containing the inner loop within the outer loop, we ensure that the inner loop executes its iterations every time the outer loop iterates. This nested structure allows for more complex and detailed looping patterns.

Using different control variables for the inner and outer loops is necessary to maintain independent control over their iterations. Each loop should have its own variable to track and control its progress. This distinction is crucial in preventing conflicts and ensuring that the loops function as intended.

Therefore, when nesting loops, it is essential to follow these guidelines: the inner loop must be entirely contained within the outer loop, and a distinct control variable should be used for each loop to ensure proper execution and avoid potential errors.

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Answer:

I did this exact same question on USATestPrep and here's what I answered that I got correct:

B, C and this one isn't an answer choice but the additional answer was: "1,000 grams of radioactive material with a half-life of 6 hours."

Hope this helps! I'm sorry if it doesn't help future people who sees this :/

The situations described can be modeled by an exponential function will be options B and C.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

Let's check all the options, then we have

A. Car rental for $38 plus $0.40 mile driven, it is an example of a linear function.

B. Bacteria colony of 5,000 triples every 60 minutes, it is an example of an exponential function.

C. City with a population of 20,000 doubles every 8 years, it is an example of an exponential function.

D. Amusement park membership costs $40 and then just $5 per visit​, it is an example of a linear function.

The situations described can be modeled by an exponential function will be options B and C.

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The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

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Answer:

Percent of water in the mixture=88%

Which is 81.07 square inches of the total volume

Step-by-step explanation:

Volume of the flask=πr^2h

π=3.142

radius=diameter/2

=3.71/2

=1.855

height=8.52 inches

Volume of the flask=πr^2h

=3.142*(1.855)^2*8.52

=3.142*3.441025*8.52

=92.115688686

Approximately 92.12 square inches

Flask contains 12% acid solution and the remaining volume is water

Percentage of water =Total percentage - acid solution percentage

=100%-12%

=88%

Percentage of Water =88%

Percentage of the mixture by volume is water=88% of the total volume

=88/100*92.12

=81.0656 square inches

Approximately 81.07 square inches

Answer: The answer is $36,015. Can't tell you what letter it is, but the math goes like this...

Step-by-step explanation: Original Salary is $35,000, with a 2.9% increase.

1. Take the Original Salary of $35,000 and (Multiply It) by 2.9%

35,000 x 2.95= 1015 ( cost of living increase)

2. Take the extra cost of living increase money, the $1015.00 and (ADD) it to your Original Salary $35,000

$35,000.00 + $1015.00= $36,015.00 = Her, New Salary

Good Luck, I hope this helps.

Step-by-step explanation:

Pythagoras (for right-angled triangles) :

c² = a² + b²

c being the Hypotenuse, the side opposite of the right angle. and that would be here the diagonal.

c = diagonal = 10 ft

therefore, the width of the rectangle is 10/2 = 5 ft

10² = 5² + b²

100 = 25 + b²

b² = 75

b = length = sqrt(75) = 8.660254038... ft

If g(x) is the transformed function, then

   \(g(x) = - f\big( ~2 (x-3)~ \big) + 5\)

or

   \(g(x) = - \big( ~2 (x-3)~ \big)^2 + 5\)

The domain is still all real numbers, (-infty, infty).

The range is (-infty, 5], since it was reflected vertically and then translated up by 5 units.

There is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

Given, the Pearson correlation coefficient of +0.91,

There appears to be a strong +ve correlation between the number of cats she owns and the number of times an old widow was married.

It suggests that the more times a widow was married,the more cats she tends to own.

Approximately 82% of the variance in the number of cats owned can be explained by the number of times a widow was married is indicated by the coefficient of determination (r²).

Hence, we can say that there is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

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Answer:

-30

Step-by-step explanation:

Simplifying:

2x + 30 = x

Reorder the terms:

30 + 2x = x

Solving:

30 + 2x = x

Solving for variable 'x'

Move all the terms containing x to the left, all the others to the right

Add '-1x' to each side of the equation

30 + 2x + -1x = x + -1x

Combine like terms: 2x + -1x = 1x

30 + 1x = x + -1x

Combine like terms: x + -1x = 0

30 + 1x = 0

Add '-30' to each side of the equation

30 + -30 + 1x = 0 + -30

Combine like terms: 30 + -30 = 0

0 + 1x = 0 + - 30

1x = 0 + -30

Combine like terms: 0 + -30 = -30

1x = -30

Divide each side by '1'

x = -30

Simplifying:

x = -30

Hope this helps :)

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Answer:

Step-by-step explanation:

horizontal line, because its y is always equal to 6

There are 40 such bit strings.

To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.

Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.

Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.

The size of A can be calculated as follows:

since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,

so there are \(2^5 = 32\) possible strings that begin with two 0s.

Similarly, the size of B can be calculated as follows:

since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,

so there are\(2^4 = 16\) possible strings that end with three 1s.

However, we have counted the strings that both begin with two 0s and end with three 1s twice.

To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.

The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,

where the x's can be any combination of 0s and 1s.

There are \(2^3 = 8\) such strings.

Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:

|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.

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Answer:

Step-by-step explanation:

4x-9y=2 …..equation(1)

12x-5y=-38 ….. equation (2)

(4x=2+9y)

12x=-38+5y then use substitution

6+27y=-38+5y                 x=(2+9y)/4

44=-22y                            x= -4

y=-2

a) As per the given percentage, the number of registered voters in the town who cast the votes are 155,952.

b) Reese claim is incorrect. The number he mentioned as registered voters is greater than the actual number of registered voters..

Percentage:

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

For example, 57% can be written as 57/100.

Given,

The register voters and other in the town cast their vote on the election day.

a. In that particular town, 273,600 votes were cast in an election. And there are 57% of those who were registered voted.

Here we need to find how many registered voters are there in the town.

b. Reese claims that there are 60% of the registered voters cast 273,600 votes, there would be fewer registered voters than above.

Now we have also need to find whether his statement is correct or not with the reason.

Let x be the total number of registered voter who cast the vote.

From the given details, we know that, there are 273,600 voters are cast.

And 57% of them are registered voters.

So, it can be calculated as follows,

=> x  = 273600 of 57%

=> x = 273600 x 57%

=> x = 273600 x 57/100

=> x = 2736 x 57

=> x = 155, 952

Therefore, there are 155,952 registered voter in the town who cast the vote.

Based on these calculation we know that, Reese claims is incorrect because there the number of registered voters is 155, 952 which is not equal to the number he mentioned.

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Answer:

214.6

Step-by-step explanation:

First, split 7.4 into number, this makes it easier later.

29*7=203

0.4*29=11.6

Next add them up for your total.

203+11.6=214.6

Answer:

214.6

Step-by-step explanation:

29x7.4=214.6

Option B is correct- The data is bunched up near the center.

the data is concentrated near the center.

When a distribution has lower variability, the values in a dataset are more consistent. However, when the variability is higher, the data points are more dissimilar and extreme values become more likely. Consequently, understanding variability helps you grasp the likelihood of unusual events.

The lower the value of the coefficient of variation, the more precise the estimate.

Measure of variation called standard deviation.

Standard deviation is the average or standard distance between each point of data and the mean. It's the standard amount of variability in your data set.

so , the data is concentrated near the center and The data is bunched up near the center.

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Answer:

8

Step-by-step explanation:

use pythagorin teorem

c² = a² + b²

10² = 6² + x²

100 = 36 + x²

x² = 100 - 36

x² = 64

x = sqrt 64

x = 8

Step-by-step explanation:

In order to solve x, we have to use Pythagoras' theorem.

Pythagoras theorem: a²+b²=c²

So the longest side of a right angled triangle is always called the hypotenuse, which is also known as 'c'.

The shorter ones can either be 'a' or 'b'.

Let's make the side of 6 known as 'a'.

So now we have our 'c' and 'a', and we want to find out b (or in this case it's x).

So the formula now would be

c²-a²=b²

Now let's make the equation

10² - 6²=b²

100 - 36 = b²

64 = b²

Square root both sides it'll be:

8 = b

Since b is also your x,

Answer:

x = 8

Given that triangles MON and POQ are similar triangles, the length of PO is 30 units.

The triangles that are similar to each other will have their corresponding sides proportional to each other.

Given:

MP = 25

PQ = 18

MN = 33

Triangles MON and POQ are similar triangles.

Let PO = x

Therefore:

MN/PQ = MO/PO

Substitute

33/18 = (25 + x)/x

Cross multiply

33x = 18(25 + x)

33x = 450 + 18x

33x - 18x = 450

15x = 450

x = 30

Therefore, given that triangles MON and POQ are similar triangles, the length of PO is 30 units.

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The probability of getting a number < 9 is 28/37.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. It has a range from 0 to 1.

Probability(Event) = Favorable Outcomes / Total Outcomes

Main Body:

Total numbers on the spinner greater than 9  = 37 - 10 + 1 = 28

(we are subtracting 10 because we need number that is greater than 10.)

and adding 1 because both the ends of interval is counted.

total numbers on spinner =37

P( x>9) = 28/37.

Hence the probability of getting a number greater than 9 on spinning is 28/37.

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