I dont get it pls helpppp ihave ten min left it a test HELP

Massages send by Mary, Garon and Rafael are 25, 75 and 19 respectively.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The total massage sent = 119

Let Mary sent  x message,

According to given condition,

Massages sent by Goran = 3x

Massages sent by Rafeal = x-6

Since, the total massages are 119, use equation format,

⇒ x+3x+x-6=119

⇒ 5x=125

⇒x=25

Massages send by Mary x=25

Massages send by Goran 3x=75

Massages send by Rafael x-6= 19

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P(A)=1/5, P(B)=7/20, P(A and B)= 7/100. The events A and B are independent.

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

1) P(A)=1/5, P(B)=7/20, P(A and B)= 7/100

Here, P(A and B)= P(A)×P(B)

= 1/5 × 7/20

= 7/100

So, the events A and B are independent.

2) P(A)=13/20, P(B)=13/20, P(A and B)= 169/400

Here, P(A and B)= P(A)×P(B)

= 13/20 × 13/20

= 169/400

So, the events A and B are independent.

3) P(A)=7/10, P(B)=2/5, P(A and B)= 21/100

Here, P(A and B)= P(A)×P(B)

= 7/10 × 2/5

= 14/50

So, the events A and B are not independent.

2) P(A)=1/5, P(B)=1/5, P(A and B)= 1/25

Here, P(A and B)= P(A)×P(B)

= 1/5 × 1/5

= 1/25

So, the events A and B are independent.

Therefore, options 1, 2 and 4 are correct answers.

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Answer:

We know that there are 5,569,500 strings of length 14 over the alphabet {a, b, c, d} that have exactly three a's or exactly three b's or both

Step-by-step explanation:

We can use the principle of inclusion-exclusion to count the number of strings of length 14 over the alphabet {a, b, c, d} that have exactly three a's or exactly three b's or both.

First, let's count the number of strings with exactly three a's. We can choose the positions for the three a's in ${14 \choose 3}$ ways, and for each choice, we can fill the remaining 11 positions with any of the three remaining letters (b, c, or d) in $3^{11}$ ways. Therefore, the number of strings with exactly three a's is ${14 \choose 3} \times 3^{11}$.

Similarly, the number of strings with exactly three b's is ${14 \choose 3} \times 3^{11}$.

To count the number of strings with both three a's and three b's, we can choose the positions for the three a's in ${14 \choose 3}$ ways, and choose the positions for the three b's among the remaining 11 positions in ${11 \choose 3}$ ways. Then, we can fill the remaining 8 positions with any of the two remaining letters (c or d) in $2^8$ ways. Therefore, the number of strings with both three a's and three b's is ${14 \choose 3} \times {11 \choose 3} \times 2^8$.

By the principle of inclusion-exclusion, the total number of strings with exactly three a's or exactly three b's or both is:

(

14

3

)

×

3

11

+

(

14

3

)

×

3

11

−

(

14

3

)

×

(

11

3

)

×

2

8

(

3

14

​

)×3

11

+(

3

14

​

)×3

11

−(

3

14

​

)×(

3

11

​

)×2

8

Simplifying this expression gives:

2

×

(

14

3

)

×

3

11

−

(

14

3

)

×

(

11

3

)

×

2

8

2×(

3

14

​

)×3

11

−(

3

14

​

)×(

3

11

​

)×2

8

Plugging in the values gives us:

2

×

(

14

3

)

×

3

11

−

(

14

3

)

×

(

11

3

)

×

2

8

=

5

,

569

,

500

2×(

3

14

​

)×3

11

−(

3

14

​

)×(

3

11

​

)×2

8

=5,569,500

Therefore, there are 5,569,500 strings of length 14 over the alphabet {a, b, c, d} that have exactly three a's or exactly three b's or both

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The corrrect statements about angle are:

Please refer to the attached picture below for visualization of the angles.

Based on the attached picture, we can consider the relationship of each angle, such as:

Alternate interior angles and congruent:

Angle 4 and angle 5

Angle 3 and angle 6

Alternate exterior angles and congruent:

Angle 1 and angle 8

Angle 2 and angle 7

Consecutive interior angles and supplementary:

Angle 3 and angle 5

Angle 4 and angle 6

Corresponding angles and congruent:

Angle 1 and angle 5

Angle 2 and angle 6

Angle 3 and angle 7

Angle 4 and angle 8

Vertical angles and congruent:

Angle 1 and angle 4

Angle 2 and angle 3

Angle 5 and angle 8

Angle 6 and angle 7

Supplementary angles:

Angle 1 and angle 2

Angle 3 and angle 4

Angle 5 and angle 6

Angle 7 and angle 8

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Answer:

top left questions answer is B

the area of the triangle is A

Volume of the cylinder is B

The area of the triangle for q 17 is A

Answer:

1. b

2.a

17.c

Step-by-step explanation:

Answer:

14 years Will give you 1036 members

Step-by-step explanation:

Set it up as an equation

x/350 = 14/100

100x = 4900

100x/100 = 4900/100

x = 49

49 x 14 = 686

686 + 350 =1036

b) It will take approximately 24.6 years to save $3,000 for your vacation by saving $100 each month with a 3% nominal interest rate compounded monthly.

c) equivalent effective interest rates are:

i. Semi-annually: 5.06%

ii. Quarterly: 5.11%

iii. Daily: 5.13%

iv. Continuously: 5.13%

EXPLANATION:

To calculate the time it will take for you to save $3,000 for your vacation, we can use the future value formula for monthly compounding:

\(Future Value = Principal * (1 + rate/n)^(n*time)\)

Where:

- Principal is the amount you save each month ($100)

- Rate is the nominal interest rate (3% or 0.03)

- n is the number of compounding periods per year (12 for monthly compounding)

- Time is the number of years we want to calculate

We need to solve for time. Let's substitute the given values into the formula:

\($3,000 = $100 * (1 + 0.03/12)^(12*time)Dividing both sides of the equation by $100:30 = (1.0025)^(12*time)\)

Taking the natural logarithm (ln) of both sides:

\(ln(30) = ln((1.0025)^(12*time))Using logarithmic properties (ln(a^b) = b * ln(a)):ln(30) = 12*time * ln(1.0025)\)

Solving for time:

\(time = ln(30) / (12 * ln(1.0025))\)

Using a calculator:

time ≈ 24.6

c)To calculate the equivalent effective interest rate for a nominal rate of 5% compounded at different intervals:

i. Semi-annually:

The effective interest rate for semi-annual compounding is calculated using the formula:

Effective Interest Rate = (1 + (nominal rate / number of compounding periods))^number of compounding periods - 1

For semi-annual compounding:

\(Effective Interest Rate = (1 + (0.05 / 2))^2 - 1\)

Calculating:

Effective Interest Rate ≈ 0.050625 or 5.06%

ii. Quarterly:

The effective interest rate for quarterly compounding is calculated similarly:

\(Effective Interest Rate = (1 + (0.05 / 4))^4 - 1\)

Calculating:

Effective Interest Rate ≈ 0.051136 or 5.11%

iii. Daily:

The effective interest rate for daily compounding is calculated using the formula:

Effective Interest Rate = (1 + (nominal rate / number of compounding periods))^number of compounding periods - 1

Since there are approximately 365 days in a year:

\(Effective Interest Rate = (1 + (0.05 / 365))^365 - 1\)

Calculating:

Effective Interest Rate ≈ 0.051267 or 5.13%

iv. Continuously:

The effective interest rate for continuous compounding is calculated using the formula:

\(Effective Interest Rate = e^(nominal rate) - 1\)

For a nominal rate of 5%:

\(Effective Interest Rate = e^(0.05) - 1\)

Calculating:

Effective Interest Rate ≈ 0.05127 or 5.13%

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Answer:

(a) 56 m

(b) 91 cm

Step-by-step explanation:

The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

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When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

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Answer:

73.6

Step-by-step explanation:

lets say that x is our number.

x * 0.05 = 23

x * 0.01 = 4.6

just solving one of these equations will give us x = 460.

now, 16% of 460 is 460 * 0.16 = 73.6

The expression (5a)(3a + 2) simplifies to 15a^2 + 10a. This is obtained by multiplying 5a with both terms inside the parentheses using the distributive property. The final result cannot be further simplified. So, Option B is correct. Option B.

To simplify the given expression, (5a)(3a + 2), we apply the distributive property to distribute the factor 5a to both terms inside the parentheses. This involves multiplying 5a by each term separately.

First, we multiply 5a by 3a. Multiplying these two terms gives us 15a^2, where the coefficient 15 comes from multiplying 5 by 3 and the variable a is squared due to the multiplication of two a's.

Next, we multiply 5a by 2. This multiplication results in 10a, where the coefficient 10 comes from multiplying 5 by 2, and the variable a remains unchanged.

Combining the two simplified terms, we have 15a^2 + 10a. This expression cannot be further simplified because there are no like terms to combine.

The term 15a^2 represents the enlarged area of the mural, obtained by multiplying the lengths of the sides of the original square mural (side length a) by the factor 5 and squaring the variable a. The term 10a represents an additional area added during the enlargement process, obtained by multiplying the side length a by the factor 2.

In conclusion, the simplified form of (5a)(3a + 2) is 15a^2 + 10a. So OptioN B is correct.

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The value of y obtained after solving the given equation will be equal to 11/3 or 3 2/3.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

3/4y + 1/2 = 3 1/4

Firstly, write the equation in a simplified way,

3/4y + 1/2 = 13/4

3/4y = 13/4 - 1/2

3/4y = (13 - 2)/4

3/4y = 11/4

Now, solve the equation for y,

y = (11 × 4)/(4 × 3)

y = 11/3

In mixed fraction form, it can be written as 3 2/3.

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The answer can be stated as, " Account X will be worth $ 248 more than account Y after 20 years."

Simple interest can be defined as a form of interest in which the percent rate is applied on the same principal for a given period of time.

The simple interest for account X and account Y can be calculated as follows,

For account X substitute the corresponding values in the expression as,

(P × r × t)/100

= (1800 × 1.8 × 20)/100

= 36 × 18

= 648

Similarly for account Y, interest can be calculated as,

 (P × r × t)/100

= (10000 × 0.2 × 20)/100

= 40000/100

= 400

Thus, the difference between the interests is given as 648 - 400 = 248.

Hence, the account X will be $248 more than account Y.

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x     f(x)
0       0
-2      -4
4       -2
You need to draw y = 2 f (x-1)
So you need to choose x so that  x-1 = 0, -2, 4 then you can use the above values.
New function
x-1 = 0,              x = 1,           y = 2 f (x-1) = 2 f(0) = 2 x 0 = 0
x-1 = -2              x = -1           y = 2 f (x-1) = 2 f(-2) = 2 x -4 = -8
x-1 = 4               x = 5            y = 2 f (x-1) = 2 f (4) = 2 x -2 = -4
So 3 points on the new graph are   (1, 0)   (-1, -8) and (5, -4)
Basically going from y = f(x) to y = f(x-a) where a is a constant positive number you translate (move)  y = f(x)  a units to the right.
y = f(x) to y = 2 f(x),  you dilate f(x) with center (0,0) factor 2,  so  (a,b) > (2a, 2b)
So basically here you are doing both things.
So if (a,b) is on y = f(x) then after the translation (a,b) > (a+1, b) then after the dilation (a+1,b) > (2a+2, 2b).

what is graph?

A diagram or pictorial depiction of facts or values that is arranged might be referred to as a graph. The relationships between two or more items are frequently represented by the points on a graph.

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A scatter plot is a graph used to display the relationship between two numerical variables. Each data point is plotted as a point with its x and y values corresponding to the two variables.

Based on the scatter plot with age on the x-axis and 3-point percentage on the y-axis, and considering the line of best fit, the conclusion that can best be made is: There is a correlation between age and 3-point percentage.

This correlation seems to be negative, indicating that as age increases, the 3-point percentage tends to decrease. So, the most accurate statement would be "Being older causes you to have a lower 3-point percentage."

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Yes, even if you don't know how many handshakes there were overall, you can be sure that there were at least two guests who had the same number.

Assume that the gathering will have n visitors. With the exception of oneself, each person may shake hands with n-1 additional individuals. For each guest, this means that there could be 0, 1, 2,..., or n-1 handshakes.

There will be the following number of handshakes if each guest shakes hands with a distinct number of persons (i.e., no two guests will have the same number of handshakes):

0 + 1 + 2 + ... + (n-1) = n*(n-1) divide by 2

The well known formula for the sum of the first n natural numbers . The paradox arises if n*(n-1)/2 is not an integer since we know that the actual number of handshakes must be an integer. The identical number of handshakes must thus have been shared by at least two other visitors.

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Answer:

GCF, Greatest Common Factor

Step-by-step explanation:

Hope this helped

The band has $300 + $60 = $360 to spend on recording the album.

what is equation?

An equation is a statement of equality between two expressions, usually involving one or more variables. It is written in the form of "expression1 = expression2" or sometimes "expression1 + expression2 = expression3" and so on. The goal is to find the value of the variable(s) that makes the equation true. Equations can be used to model real-world situations and can be used to make predictions and solve problems. There are different types of equations like linear equations, quadratic equations, polynomial equations, differential equations, etc. Each type has its own method of solving them and they can be solved using algebraic and/or numerical methods.

Let H be the number of hours recorded in the studio.

The total cost of recording in the studio for H hours is

$180 + $20H = $180 + $20H = $180 + $20H

The band can record for H hours if the cost is less than or equal to their budget, so we have:

$180 + $20H <= $360

Solving for H, we get:

$20H <= $360 - $180 = $180

$H <= 9

So, the range of hours the band can record at the studio within their budget is [0,9] in interval notation.

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Answer:

-ab/1

Step-by-step explanation:

The multiplicative inverse of x/y is y/x, because when multiplied it equals 1.

x/y time y/x = xy/xy, which equals one.

In this case, -1/ab times -ab/1 = -1ab/-1ab, which equals one.

Answer:

f(4) = 19

f(-4) = 19

Step-by-step explanation:

Since f(x) = x²+3, to find f(4), substitute x = 4 into the equation.

f(4) = 4²+3

= 19

To find f(-4), substitute x = -4 into the equation.

f(-4) = (-4)²+3

= 19

Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

Juliet was charged $18 for driving 120 miles.

Given,

The rent of car per day = $80

The charge for per miles driven = $0.15

Juliet was charged a total of $98 for the rental and mileage.

We have to find the total miles of driving;

Here,

Charge for miles driven = Total charge - Rent of car for a day

Charge for miles driven = 98 - 80

Charge for miles driven = $18

Now,

Total miles driven = Charge for miles driven / Charge for one mile

Total miles driven = 18/0.15

Total miles driven = 120

That is,

Juliet was charged $18 for 120 miles of driving.

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Answer:

su respuesta sería 21521.3

Potted plants ordered last year = 6,57,230 (Indian Place Value System)

Pecentage of plants deducted = 10%

10% of 6,57,230 = 10/100 × 6,57,230

or, it can also be written as -

10/10 × 65,723

or,

65,723

Therefore, potted plants odered this year is 65,723

By the way, I'm an Indian : )

Answer:

x=74

Step-by-step explanation:

If two tangent segments are drawn from the same external point, then the segments are equal.

Answer:

As we know that the theorm says that tangents drawn from external points of circle are equal so

AB = BC

X - 24 = 50

x = 50 - 24

x = 26

Hooe it helps u

Answer:

Step-by-step explanation:

Use PEMDAS.

P=Parenthesis

E=Exponents

M=Multiplaction

D=Division

A=Addition

S=Subtraction.

Multiplication and Division can be done interchangeably, Work left to right.

Same with addiion and subtraction.

Answer:

the original number is greater

Step-by-step explanation:

1. let 1x be your starting number

2. therefore, 0.5 * 1x = 0.5x ( amount after you decreased it by 50%)

3. then increase: 0.5x * 1.5 = 0.75x (amount after you increased it by 50%)

4. 0.75x < 1x (this means that the original number is larger than the one you decreased and then increased)

Answer:

ojsjsnajnbaknrkmlamsl

The distance traveled to reach the boxcar is 54.4 m.

Part A: How long does it take him to catch up to the empty boxcar

A fugitive hops on a freight train that travels at a constant speed of 5.2 m/s, and just as an empty boxcar passes him, the fugitive starts from rest and accelerates to his maximum speed of 6.2 m/s, with an acceleration of a = 1.4 m/s2. We need to determine how long it would take him to catch up to the empty boxcar.

The distance traveled by the boxcar is equal to the distance traveled by the fugitive when he caught up with the boxcar. Therefore, we can use this equation:

distance = 1/2(a)t² + vt

where, v is the initial velocity, a is the acceleration, t is time, and distance is the distance traveled by the fugitive to catch up with the empty boxcar.

Substituting the given values:

v = 0 m/s (because he started from rest)

a = 1.4 m/s²t =  (what we are solving for)

distance = nee to find

We know that the boxcar has already traveled a certain distance before the fugitive starts accelerating. So the total distance traveled by the fugitive is the distance traveled by the boxcar plus the distance traveled by the fugitive after he started accelerating.

t = (6.2 m/s - 0 m/s)/1.4 m/s²t

 = 4.43 s (to two significant figures)

Therefore, it takes the fugitive 4.43 seconds to catch up with the empty boxcar.

Part B:

What is the distance traveled to reach the boxcar

To find the distance traveled by the fugitive, we use the same equation:

distance = 1/2(a)t² + vt

distance = 1/2(1.4 m/s²)(4.43 s)² + (5.2 m/s)(4.43 s)

distance = 54.4 m (to two significant figures)

The distance traveled to reach the boxcar is 54.4 m.

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