1. Solve the following inequality -2(x - 4) > -10.


I need this with Work shown pls

Jess will retire at about 41.98 years historic or round her forty second birthday.

To calculate how lengthy it will take for Jess's financial savings account to attain one million dollars, we can use the system for compound interest:

A = P(1 + r/n)(nt)

Where:

A = Total quantity (one million bucks in this case)

P = Principal quantity (initial credit score of $50,000)

r = Annual hobby price (9% as a decimal, so 0.09)

n = Number of instances the hobby is compounded per yr (in this case, compounded annually)

t = Number of years

Substituting the given values into the formula, we have:

1,000,000 = 50,000(1 + 0.09/1)(1t)

Simplifying:

20 = (1.09)t

To clear up for t, we want to take the logarithm of each aspects of the equation. Let's use the herbal logarithm (ln) for this calculation:

ln(20) = ln(1.09)t

Using the logarithmic property, we can go the exponent t in front:

ln(20) = t * ln(1.09)

Now we can remedy for t with the aid of dividing each aspects by using ln(1.09):

t = ln(20) / ln(1.09)

Using a calculator, we discover that t ≈ 19.98 (rounded to two decimal places).

Therefore,

It will take about 19.98 years to attain one million bucks in Jess's financial savings account.

To decide at what age Jess will retire, we add the time it takes to attain one million bucks to her preliminary age of 22:

Age at retirement = 22 + 19.98 ≈ 41.98

For similar question on historic:

https://brainly.com/question/32158745

#SPJ11

The  directed graph for the given values given by the relation {(a, a), (a, b), (b, c), (c, b), (c, d), (d, a), (d, b)} is expained.

The directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b), (c, d), (d, a), (d, b)} is shown below:

We can clearly see from the directed graph that there are four vertices: a, b, c, and d.

For the given relation, there are three edges that start and end on vertex a, two edges that start and end on vertex b, one edge that starts from vertex c and ends on vertex b, one edge that starts from vertex c and ends on vertex d, and one edge that starts from vertex d and ends on vertex a.

The vertex a is connected to vertex a and b.

The vertex b is connected to vertices c and d.

The vertex c is connected to vertices b and d.

The vertex d is connected to vertices a and b.

A directed graph is a graphical representation of a binary relation in which vertices are connected by arrows.

Each directed edge shows the direction of the relation.

A directed graph is also called a digraph.

Know more about the binary relation

https://brainly.com/question/28682743

#SPJ11

Answer:yes it is right

Step-by-step explanation that’s right

Answer: pretty sure

Step-by-step explanation:

Please give me a brainliest even if im wrong im strugling please

Answer:

Step-by-step explanation:

If AD=DB  and  AE=EC,

then DE¯¯¯¯¯∥BC¯¯¯¯¯ and DE=12BC .

The reason why Jon's lender most likely approved his loan is because;

A: He has been making most payments on time.

There are different reasons why lenders approve money for those who want to borrow but for the sake of this question, we will just access the options.

Read more on giving out loans by financial institutions at; https://brainly.com/question/14997152

Answer:

A

Step-by-step explanation:

Took the test and got it right.

Answer:

c

Step-by-step explanation:

unit rate is a rate with one in the denominator

1.5 litres of water are released from the faucet per minute.

It is given to us that -

There is a one quart jar

Water from the kitchen faucet fills the 1-quart jar in 10 seconds.

We need to ascertain the faucet's flow rate in gallons per minute.

We know that -

1 quart = 0.25 gallon ---- (1)

We also know that -

1 minute = 60 seconds

=> 60 seconds = 1 minute

=> 10 seconds = 10/60 = 0.16 minutes ----- (2)

Now, the flow rate can be calculated as -

Flow rate = Amount of water filled/Time taken ----- (3)

Substituting the values from equation (1) and (2) in equation (3), we have -

Flow rate = Amount of water filled/Time taken

=> Flow rate = 1 quart water/10 seconds

=> Flow rate = 0.25 gallons/0.16 minutes

=> Flow rate = 1.5 gallons per minute

Therefore, the flow rate of water from the faucet is 1.5 gallons per minute.

To learn more about flow rate visit https://brainly.com/question/27880305

#SPJ4

Each girl on the basketball team averages 136/12 = 11.33 points.The average number of points each girl scores, we first need to calculate the total number of points scored by the team.

Since the team average is 136 points, the total points scored by the team would be 136 x 12 = 1632 points.There are 8 boys on the team, and each boy averages 12 points. Therefore, the total points scored by the boys would be 8 x 12 = 96 points. To find the total points scored by the girls, we subtract the total points scored by the boys from the total team points: 1632 - 96 = 1536 points.

Since there are 4 girls on the team, we divide the total points scored by the girls (1536) by the number of girls (4) to find the average points scored by each girl: 1536/4 = 384 points. Therefore, each girl on the team averages 384/12 = 11.33 points.

To learn more about basketball.

Click here:brainly.com/question/30841671?

#SPJ11

Answer:2i5

Step-by-step explanation:

Answer:

4.4721...

Step-by-step explanation:

the dots means it keeps going on

Answer:

\(d=\sqrt{73}\approx8.54\)

Step-by-step explanation:

So we have the two points (10,-4) and (2,-7).

And we want to find the distance between them using the Distance Formula and the Pythagorean Theorem. Let's do each one individually.

1) Distance Formula.

The distance formula is:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)

Let's let (10,-4) be (x₁, y₁) and let's let (2,-7) be (x₂, y₂). So:

\(d=\sqrt{((2)-(10))+((-7)-(-4))^2\)

Simplify:

\(d=\sqrt{(2-10)^2+(-7+4)^2\)

Subtract:

\(d=\sqrt{(-8)^2+(-3)^2\)

Square:

\(d=\sqrt{64+9}\)

Add:

\(d=\sqrt{73}\)

Approximate:

\(d\approx8.54\)

So, the distance between (10,-4) and (2,-7) is approximately 8.54 units.

2) Pythagorean Theorem

Please refer to the graph.

So, we want to find the distance. This will be the length of the red line, or the hypotenuse.

First, let's find the length of the two legs.

The longer leg will be the difference between the two x-coordinates. So, the length of the longer leg is:

\((10-2)=8\)

Note: It doesn't matter if we do 2-10, which gives -8, since we are going to square anyways. Also, distance is always positive, so 8 would be our answer.

And the shorter leg is the difference between the two y-coordinates. Namely:

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

So, the shorter leg is 3 units.

So now, we can use the Pythagorean Theorem, which is:

\(a^2+b^2=c^2\)

Substitute 8 for a and 3 for b. So:

\((8)^2+(3)^2=c^2\)

Square:

\(64+9=c^2\)

Add:

\(c^2=73\)

Take the square root:

\(c=\sqrt{73}\approx8.54\)

This is the same as our previous answer, so we can confirm that it's correct.

So, using both the distance formula and the Pythagorean Theorem, the distance between the two points is approximately 8.54.

And we're done!

Distance formula: d = √(x2-x1)²+(y2-y1)²

= √(2-10)²+(-7-(-4))²

= √-8²+(-3)²

= √64+9

= √73

≈ 8.54

Best of Luck!

Answer:

law of reasoning

Step-by-step explanation:

I would greatly appreciate if you can give the brainliest answer crown!

Answer:

Step-by-step explanation:

Givens

<NPM = <OMP

NP = OM

Solution

<NPM = <OMP                         Given

NP = OM                                  Given

MP = MP                                  Reflexive Property

ΔNPM ≡ ΔOMP                       SAS

Answer

SAS Postulate

The probability that the lightbulb lasts at least one year is: P(T ≥ 365) = 1 - e^(-λ * 365).

To determine the probability that a lightbulb lasts at least one year, we need to know the failure rate of the lightbulb and its distribution. For example, if the lightbulb follows a exponential distribution with parameter λ, the probability that it lasts at least one year (t = 365 days) can be calculated as:

P(T ≥ 365) = 1 - P(T < 365) = 1 - F(365),

where F(365) is the cumulative distribution function (CDF) of the exponential distribution evaluated at t = 365. The CDF of the exponential distribution is given by:

F(t) = 1 - e^(-λt),

so the probability that the lightbulb lasts at least one year is:

P(T ≥ 365) = 1 - e^(-λ * 365)

The value of λ depends on the specific lightbulb and its failure rate, which needs to be determined from data or from the manufacturer. Once the value of λ is known, the above equation can be used to calculate the probability that the lightbulb lasts at least one year.

Therefore, The probability that the lightbulb lasts at least one year is: P(T ≥ 365) = 1 - e^(-λ * 365).

To learn more about probability,

Visit; brainly.com/question/30034780

#SPJ4

The probability that the lightbulb lasts at least one year is: P(T ≥ 365) = 1 - e^(-λ * 365).

To determine the probability that a lightbulb lasts at least one year, we need to know the failure rate of the lightbulb and its distribution. For example, if the lightbulb follows a exponential distribution with parameter λ, the probability that it lasts at least one year (t = 365 days) can be calculated as:

P(T ≥ 365) = 1 - P(T < 365) = 1 - F(365),

where F(365) is the cumulative distribution function (CDF) of the exponential distribution evaluated at t = 365. The CDF of the exponential distribution is given by:

F(t) = 1 - e^(-λt),

so the probability that the lightbulb lasts at least one year is:

P(T ≥ 365) = 1 - e^(-λ * 365)

The value of λ depends on the specific lightbulb and its failure rate, which needs to be determined from data or from the manufacturer. Once the value of λ is known, the above equation can be used to calculate the probability that the lightbulb lasts at least one year.

Therefore, The probability that the lightbulb lasts at least one year is: P(T ≥ 365) = 1 - e^(-λ * 365).

To learn more about Probability,

brainly.com/question/30034780

#SPJ4

Answer:

\(\frac{9x - 4}{x^2 - 4}\)

Step-by-step explanation:

Did the iReady math diagnostic.

Answer:

y >  −4 + 2 x

Step-by-step explanation:

Third length of the triangle will be lies between 3cm < l < 11 cm if the two sides of the triangle are 7 cm and 4 cm.

Let the measure of third side of the triangle is ‘l’ cm

We know that the sum of two sides of a triangle is always greater than the measure of the third side.

We can say that,

l < 4 + 7

⇒ l < 11cm

It is also said that the measure of a side of a triangle is always greater than the difference of the other two sides of the triangle, concluding that

l > |7 - 4|

⇒ l > 3cm

From the above conditions, we can say that ‘l’ lies between 3 cm and 11 cm.

To learn more about triangle

https://brainly.com/question/2773823

#SPJ4

Answer:

the height of the suitcase is 34 in

Step-by-step explanation:

Given that

The length of the baseball bat is 34 in

And, the height and depth of suitcase is 17 inches by 11 inches

Based on the above information

The height of the suitcase would be equivalent to the height of the baseball bat i.e. 34 in

Hence, the height of the suitcase is 34 in

The same would be considered

Answer:

A

Step-by-step explanation:

The domain does not exist when the denominater of an equation is zero. So in this case if x was -2 and we added 2 the denominator would be zero, and that value does not exist in the domain. Hope this helps!

Answer:

Step-by-step explanation:

translate

D) The example (2x^2 + 5x) + (4x^2 - 4x) = (4x^2 - 4x) + (2x^2 + 5x) illustrates the commutative property of addition for polynomials.

The commutative property of addition for polynomials states that the order in which polynomials are added does not affect the result of the sum. In other words, it states that if we have two polynomials A and B, the result of adding A and B (A+B) will be the same as adding B and A (B+A).

For example, consider the polynomials (2x^2 + 5x) and (4x^2 - 4x). If we add these two polynomials in the order given, (2x^2 + 5x) + (4x^2 - 4x) = 6x^2 + x. Now, if we add these two polynomials in the reverse order, (4x^2 - 4x) + (2x^2 + 5x) = 6x^2 + x. We can see that the order of the polynomials does not affect the result of the sum, and thus it holds the commutative property of addition.

Option (2x^2 + 5x) + (4x^2 - 4x) = (4x^2 - 4x) + (2x^2 + 5x) illustrates the commutative property of addition for polynomials, because it shows that the order of the polynomials does not matter and it gives the same answer.

It is important to note that the other options does not illustrate the commutative property.

To know more about commutative property click below:

https://brainly.com/question/778086#

#SPJ4

Answer:

\(2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ \)

open the brackets:

\( = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ \)

group the coefficients of m and n in their brackets:

\( = (6 + 15 - 30)m + (12 - 6 + 5)n \\ \)

then operate the brackets:

\( = - 9m + 11n\)

1.746 is the critical t value that corresponds to 90% confidence.

To find the critical t-value that corresponds to 90% confidence with 16 degrees of freedom, follow these steps:
1. Determine the desired confidence level: 90%
2. Calculate the corresponding significance level (alpha) by subtracting the confidence level from 100%: 100% - 90% = 10%
3. Divide the significance level by 2 to get the value for a two-tailed test: 10% / 2 = 5%
4. Look up the critical t-value in a t-distribution table using the degrees of freedom (16) and the 5% value.

From the t-distribution table, the critical t-value for 16 degrees of freedom and 90% confidence is approximately 1.746.

So, the CRITICAL T VALUE that corresponds to a 90% CONFIDENCE level with 16 DEGREES FREEDOM is 1.746, rounded to three decimal places.

LEARN MORE ON CRITICAL T VALUE:

https://brainly.com/question/28159026

#SPJ11

1. Number of Students scored exactly 3 is 3.

2. Number of Students scored higher than 3 = 11

3. Number of Students scored less than = 2

4. The Score 6 is achieved by the maximum number of students.

The linear graph known as a line plot displays data frequencies along a number line. Data with a single defined value can be examined using it.

Tracking changes over both short and long time periods is an important application of line graphs.

Given:

Data: 6, 6, 5, 4, 6, 4, 5, 3, 6, 0, 1, 6, 3, 3, 6, 5

So, 6 Repeats 6 times

and, 5 repeats 3 times

and, 4 repeats 2 times

and, 3 repeats 3 times

and 0 and 1 appears only 1 time.

1. Number of Students scored exactly 3 is 3.

2. Number of Students scored higher than 3

= 2+ 3+ 6

= 11

3. Number of Students scored less than

= 1 + 1

= 2

4. The Score 6 is achieved by the maximum number of students.

Learn more about Line plot here:

https://brainly.com/question/29573088

#SPJ1

The researchers are investigating the perception of three-dimensional shapes on computer screens and specifically examining the components of a square figure or cube necessary for viewers to perceive details of the shape. They vary the stimuli to include fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. Four participants are recruited for an intense study, and their accuracy rates are measured across the three figure conditions. The trials are presented in different orders for each participant using a random-numbers table to determine unique sequences.

In this study, the researchers are interested in understanding how viewers perceive details of three-dimensional shapes on computer screens. They manipulate the stimuli by presenting fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. By varying these components, the researchers aim to identify which elements are necessary for viewers to accurately perceive the shape.

Four participants are recruited for an intense study, indicating a small sample size. While a larger sample size would generally be preferred for generalizability, intense studies often involve fewer participants due to the time and resource constraints associated with conducting a large number of trials. This approach allows for in-depth analysis of individual participant performance.

The participants are trained on how to detect subtle deformations in the shapes, which suggests that the study aims to assess their ability to perceive and discriminate fine details. After the training, the participants' accuracy rates are measured across the three different figure conditions, likely reported as a percentage of correctly identified shape details.

To minimize potential biases, the trials are presented in different orders for each participant, using a random-numbers table to determine unique sequences. This randomization helps control for order effects, where the order of presenting stimuli can influence participants' responses.

The researchers in this study are investigating the perception of three-dimensional shapes on computer screens. By manipulating the components of square figures or cubes, they aim to determine which elements are necessary for viewers to perceive shape details accurately. The study involves four participants, an intense study design, and measures accuracy rates across different figure conditions. The use of randomization in trial presentation helps mitigate potential order effects.

To know more about unique sequences visit:

https://brainly.com/question/31250925

#SPJ11

The circumference of the circle will be 27.34 cm.

Given Diameter of the glass lens is 8.7 cm.

Given Diameter of the glass lens  D = 8.7 cm

The circumference of circle is given by  = πD

where ,   π = constant

              D= Diameter

putting the value of D in the above formula of circumference

The circumference of circle is given by  = πD

The circumference of circle is given by  = π \(\times 8.7\)

The circumference of circle is given by  = 27.37 cm  (π=3.14)

Hence the circumference of the circle will be 27.34 cm.

To know more about circle follow

https://brainly.com/question/8366728

Answer:

car B

Step-by-step explanation:

i used my brain

Answer: i hope this helps

i need the brainliest

Step-by-step explanation:

Answer: 43 1/10

Step-by-step explanation:

Answer:

A - 84°

Step-by-step explanation:

The measure of an arc is equal to the measure of the central angle that intersects it.

The central angle of this circle measures 84° and it intercepts arc AB, meaning arc AB measures 84°