Points X , Y and Z are collinear, and Y is the Midpoint of XZ. Find the value of b .

Answer:

7 x − y = 17

Step-by-step explanation:

Apply the distributive property.

y + 3 = 7 x+ 7 ⋅ − 2

Multiply  7  by  − 2 .

y + 3 = 7x − 14

Rewrite the equation with the sides flipped.

7 x − 14 = y + 3

Move all terms containing variables to the left side of the equation.

Subtract  y  from both sides of the equation.

7x−14−y=3

Move -14.

7x−y−14=3

Answer: 3x-x+2=4

Step-by-step explanation:

Answer: D

Step-by-step explanation:

A) this is SSA, not SAS.

b) I'm not sure what this reflection would be

C) Don't assume

The amount withheld in December for Social Security is $6,076, for Medicare is $1,421, and the total withheld is $7,497.

To calculate the amount withheld in December for Social Security and Medicare, we need to consider the applicable tax rates for these programs.

For Social Security, the current tax rate is 6.2% of the employee's salary, up to a certain income limit. However, for the year 2021, the Social Security tax has a wage base limit of $142,800. Since Stacey's annual salary of $98,000 is below this limit, we can assume the entire salary is subject to Social Security tax. Therefore, the amount withheld for Social Security in December would be $98,000 * 6.2% = $6,076.

For Medicare, the tax rate is 1.45% of the employee's total salary, without any income limit. Hence, the amount withheld for Medicare in December would be $98,000 * 1.45% = $1,421.

The total amount withheld in December for Social Security and Medicare would be $6,076 (Social Security) + $1,421 (Medicare) = $7,497.

Know more about Social Security tax here:

https://brainly.com/question/13255138

#SPJ8

Answer:

Step-by-step explanation:

Because the numbers -2 3/4 and 5/9 are rational, and the sum of 2 rational numbers are always rational.

Answer:

80 & 105

Step-by-step explanation:

The relationship that is noted between two or more variables is termed a correlation. Correlation refers to the statistical association or relationship between two or more variables.

It indicates the degree to which the variables are related or how they are related to each other. Correlation can be positive, negative, or zero, depending on the direction and strength of the relationship between the variables.

A positive correlation indicates that as one variable increases, the other variable also increases. A negative correlation indicates that as one variable increases, the other variable decreases. Zero correlation indicates that there is no relationship between the variables.

To learn more about correlation

https://brainly.com/question/30116167

#SPJ4

The scientist started with around 16 bacteria in the petri dish.

Each hour, the number of bacteria increases by about 80%.

To describe the model in more detail:

The equation Y = 16 x 1.8ˣ represents an exponential growth model for the bacteria population in the petri dish.

The initial population of bacteria at the start of the experiment is approximately 16.

As time progresses, represented by the variable x (the number of hours), the number of bacteria increases exponentially.

The term 1.8ˣ in the equation represents the exponential growth factor. With each passing hour, the number of bacteria multiplies by a factor of 1.8.

This indicates that the bacteria population experiences rapid growth, increasing by 80% per hour.

Exponential growth models are characterized by a constant relative growth rate the population size grows at an increasingly faster pace over time.

The bacteria population in the petri dish exhibits such growth dynamics, with the number of bacteria multiplying by 1.8 every hour.

For similar questions on bacteria

https://brainly.com/question/30684301

#SP8

The line DE does not cut the sides proportionally, and the lines DE and AC are not parallel to each other.

What is meant by parallel lines?

Parallel lines are coplanar infinite straight lines in geometry that never intersect. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel. Parallel lines can also be said to meet at infinity.

Given two triangles, ΔABC and ΔDBE.

One of the properties of triangles is that if a line is parallel to one side of the triangle, then this line divides the other two sides proportionally.

In  ΔABC,

DE cuts the other two sides.

If DE is parallel to AC, then it should cut the sides AB and BC  proportionally.

That is, BD/DA = BE/EC

      25 -7 / 7 = 21-9 / 9

        18 / 7 ≠ 12/9

Therefore since line DE does not cut the sides proportionally, the lines DE and AC are not parallel to each other.

To learn more about parallel lines, follow the link.

https://brainly.com/question/30287143

#SPJ1

Answer:

a. x=29, b. x=62

Step-by-step explanation:

a. since this is an isosceles triangle, two angles are equal. we also know that the exterior angle of one side equals the other 2 interior angles. so we have 2x=58, simplify to get x=29

b. same as a, we have x-17 + 38 = 2x-41. simplify to get x+21 = 2x-41. subtract x and add 41 to both sides to get x=62

i can't see all of 2 so i can't help you with that one sorry

The maximum possible value for 'h' = 6 for the given set of system of inequalities.

For the given set of inequalities;

y ≤ 1/2x - 5

y ≥ 3x - 20

Equation both equation;

(1/2)x - 5 = 3x - 20

x - 10 = 6x - 40

Further simplifying;

-5x = -30

x = 6

Thus, the maximum possible value for 'h' is same as the value find for the x = 6; as h also represents the point on the x-axis.

To know more about the system of inequalities, here

https://brainly.com/question/9290436

#SPJ9

$2100 was invested at 2% and $2900 ($5000 - $2100) was invested at 3%.

Let x be the amount invested at 2% and y be the amount invested at 3%. We know that x + y = $5000 and the interest earned is $129. We can use the formula for simple interest, I = Prt, where I is the interest earned, P is the principal (or initial amount invested), r is the interest rate, and t is the time period.

Thus, we have:

0.02x + 0.03y = $129 (1)

x + y = $5000 (2)

We can solve for one of the variables in terms of the other from equation (2), such as y = $5000 - x. Substituting this into equation (1), we get:

0.02x + 0.03($5000 - x) = $129

Simplifying and solving for x, we get:

0.02x + $150 - 0.03x = $129

-0.01x = -$21

x = $2100

Therefore, $2100 was invested at 2% and $2900 ($5000 - $2100) was invested at 3%.

Know more about simple interest here:

https://brainly.com/question/30964674

#SPJ11

Answer:

x+2=2x

Step-by-step explanation:

Let x be the number

The sum of x and the number means x+2

"is" means equals

Twice the number means 2x

Answer:

Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. ... A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol.

Answer:

I think it is 4 to 3

Step-by-step explanation:

if I am wrong I'm sorry

Answer:

4-3

Step-by-step explanation:

Answer:

The asnwer is 4 groups of 2 1/2 are in 10

Step-by-step explanation:

If you divide ten by 2.5 you get 4

Answer:

4 groups.

Step-by-step explanation:

To get this you add 2 1/2 four times to get 10

2 1/2 + 2 1/2 = 5

                       +

2 1/2 + 2 1/2 = 5

                       =

                       10

Answer:

-4/5

Step-by-step explanation:

r=x/2

a=2x

ar²=-1/16

x^3=-1/8

x=-1/2

sn=a/1-r

=-4/5

Answer:

as following

Step-by-step explanation:

\((3y^3+5y^2-4y) (2y^2-6y-7) \\=y(3y^2+5y-4)(2y^2-6y-7)\\=y(6y^4-16y^3-21y^2+10y^3-30y^2-35y-8y^2+24y+28)\\=y(6y^4-6y^3-59y^2-11y+28)\\=6y^5-6y^4-59y^3-11y^2+28y\)

Given equations of the region: y = ex y = 0x = 0, and x = 6Now, we have to find the area of the region bounded by the given graphs. So, we can plot these graphs on the coordinate axis and the area can be determined by finding the region's enclosed area.

As we can see from the graph, the region that is enclosed is bounded from x = 0 to x = 6 and y = 0 to y = ex. The area of the enclosed region can be determined as shown below: So, the area of the enclosed region is given as:∫dy = ∫exdx0≤x≤6∫dy = ex(6) - ex(0) = e6 - 1Therefore, the area of the region enclosed is (e^6 - 1) square units. Hence, option (c) is the correct answer.

To know more about equations visit:

brainly.com/question/29657983

#SPJ11

Given:- ABCD is a parallelogram, and AE and CF bisect ∠A and ∠C respectively. To prove:- AE∥CF Proof:- Since in a parallelogram, opposite angles are equal.

A parallelogram is a geometric shape that has four sides and four angles. It is a type of quadrilateral, which means it has four sides, and its opposite sides are parallel to each other.

The opposite sides of a parallelogram are also equal in length. The opposite angles of a parallelogram are also equal in measure.

The shape of a parallelogram looks similar to a rectangle, but it differs from a rectangle in that its angles are not necessarily right angles. A square is a special case of a parallelogram in which all four sides are equal in length and all four angles are right angles

Read more about parallelograms here:

https://brainly.com/question/3050890

#SPJ1

Answer:

-9

Step-by-step explanation:

The ans is -9

Hope it helps...

Answer: 16

Step-by-step explanation:

The probability that exactly 6 are white and 2 are red is equals to 7/15 and the probability that at least 6 of the balls are white is equals to the 8/15.

The probability of a series of dependent of events may be found by finding the probability of each event and combining all the probabilities together. We have a urn which contains total 10 balls.

Number of white balls in urn, W = 7

Number of red balls in urn, R = 3

Now, a sample of 8 balls is selected randomly without replacement. We have to determine the probability that exactly 6 are white and 2 are red.

The number of ways selecting 8 balls among 10 = ¹⁰C₈ = 10!/8!2! = 45

The number of ways selecting 6 white balls among 7 = ⁷C₆ = 7!/6! = 7

The number of ways selecting 2 red balls among 3 = ³C₂ = 3!/2! = 3

Total number of ways selecting exactly 6 white and 2 red balls = 7×3 = 21

So, probability that exactly 6 are white and 2 are red,

= favorable outcomes/total outcomes

= 21/45

= 7/15

b) ‘At least 6 white balls’ selected in 8 balls means 6 white balls and 2 red, or, 7 white balls and 1 red.

Total number of ways selecting at least 6 of the balls are white,

= ⁷C₆ × ³C₂ + ⁷C₇ ³C₁

= 21 + 7!/7! × 3!/2! = 21 + 3 = 24

Probability that at least 6 of the balls are white = 24/45 = 8/15

Hence, required probability is 8/15.

To learn more about probability, visit :

brainly.com/question/12594357

#SPJ4

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

To know more about Newton Raphson Method visit:

https://brainly.in/question/17763377

#SPJ11

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.

To know more about MATLAB, visit:

https://brainly.com/question/30763780

#SPJ11

Using the Pythagorean theorem:

6^2 = 5^2 + x^2

Simplify:

36 = 25 +x^2

Subtract 25 from both sides:

11 = x^2

Square root of both sides:

x = sqrt(11) (exact) or 3.316625 as a decimal

Mary needs 4 7/12 feet of string for the 5 necklaces. The answer is option B.

To find how many feet of string Mary needs for 5 necklaces, we can multiply the length of string needed for each necklace by the number of necklaces.

Length of string needed for each necklace = 11/12 feet

Number of necklaces = 5

Total length of string needed = (Length of string needed for each necklace) * (Number of necklaces)

Total length of string needed = (11/12) * 5

Total length of string needed = 55/12 feet

To simplify the fraction, we can convert it to a mixed number:

Total length of string needed = 4 7/12 feet

Therefore, Mary needs 4 7/12 feet of string for the 5 necklaces. The answer is option B.

Read more on unit rate here:https://brainly.com/question/4895463

#SPJ1

Answer:

C. When they're done, José always fills the gas tank.

The z score for the actor is -2.04, and the z score for the actress is 1.69. The actor had the more extreme age as their z score was further away from the mean compared to the actress.

z score for actor

z = (32 - 43.7) / 8.8 = -2.04

z score for actress

z = (53 - 34.5) / 11.2 = 1.69

Since the z score for the actor is more negative than the z score for the actress, the actor had the more extreme age.

The z score is a measure of how far a specific value is away from the mean, in terms of standard deviations. A negative z score indicates that the value is below the mean, while a positive z score indicates that the value is above the mean.

In this case, both the actor and the actress had ages that were below the mean for their respective genders. However, the actor's age was further below the mean than the actress's age. Therefore, the actor had the more extreme age.

To know more about z score refer here :    

https://brainly.com/question/33566793#

#SPJ11              

Answer:

Step-by-step explanation:

1 soft drink = $3                            35-3=32         32/8=4

therefor each candy bar costs $4

Hope this helped!!! :)))

Answer:

4

Step-by-step explanation:

Sandy got 8 bars and a drink for 3 bucks and ended up wasting 35 dollars what you have to do is 35-3 and that = 32 and what you do to that 32 is ÷ it by 8 which gets you 4

Answer:

Connor will earn more interest because he is getting compound interest.

Step-by-step explanation:

I have to assume in this case that the interest is 3.5% Per year:

Simple Interest = P(r + t)

{P = Principle, r = interest rate, t = time)

Wendy = $8,300 x (3.5% x 25)

Wendy = $7,262.50 (2 d.p)

Wendy = $8,300 + $7,262.50

Wendy = $15,562.50

Compound Interest = \(P (1 +r )^{t}\)

{P = Principle, r = interest rate, t = time)

Connor = $8,300 x \((1 + 0.035)^{25}\)

Connor = $19,614.93

Wendy's Interest = $15,562.50 - $8,300 = $7,262.50

Connor's interest = $ 19,614.93 - $8,300 = $11,314.93

Connor earned more interest by $4,052.43

___________________________________________________

Hope this helps!

PLEASE MARK AS BRAINLIEST :)

Have a good day :)))))