Zoey borrowed some money from her friend in order to help buy a new video game system. Zoey agreed to pay back her friend $10 per week and originally borrowed $190. Make a table of values and then write an equation for L, in terms of t, representing the amount Zoey owes her friend after t weeks. PLLLZZZ HELP

Answer:

y = 3x + 1

Step-by-step explanation:

The proportion used to find the value of a is a/18 = 16/a

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given are three similar triangles, (refer to attached figure to separately see the similar triangles)

We know that, similar triangle have corresponding sides in equal ratio,

Therefore,

a/18 = 16/a

Hence, the proportion used to find the value of a is a/18 = 16/a

Learn more about proportion, click;

https://brainly.com/question/7096655

#SPJ1

1.  If Henry sells 3 computers in a day, he will earn $140.

2. Henry's earnings for selling 10 computers in a day would be $315.

To find Henry's daily earnings for selling 3 computers, we need to substitute x = 3 in the given function:

p(3) = 65 + 25(3)

p(3) = 65 + 75

p(3) = 140

Therefore, if Henry sells 3 computers in a day, he will earn $140.

Similarly, we can find his earnings for selling 4, 5, 6, 7, 8, 9, and 10 computers per day by substituting the respective values of x in the given function.

Number of computers sold (x) Earnings (p(x))

3 140

4 165

5 190

6 215

7 240

8 265

9 290

10 315

Thus, Henry's earnings for selling 10 computers in a day would be $315.

Learn more about   earn from

https://brainly.com/question/27894163

#SPJ11

An equilibrium phase diagram can be used to determine phase transitions, phase presence, and phase compositions at different conditions.

An equilibrium phase diagram can be used to determine the below mentioned parameters:

A) It can determine where phase transitions will occur. Phase transitions refer to changes in the state or phase of a substance, such as solid to liquid (melting) or liquid to gas (vaporization). The phase diagram provides information about the conditions at which these transitions take place, such as temperature and pressure.

B) It can determine what phases will be present for each condition of chemistry and temperature. The phase diagram shows the different phases or states of a substance (such as solid, liquid, or gas) under different combinations of temperature and pressure. It provides a visual representation of the stability regions for each phase, indicating which phase(s) will be present at a given temperature and pressure.

C) It can determine the chemistry and amount of each phase present at any condition. The phase diagram gives information about the composition (chemistry) and proportions (amount) of different phases present under specific conditions. It helps identify the coexistence regions of multiple phases and provides insight into the equilibrium compositions of each phase at various temperature and pressure conditions.

In summary, an equilibrium phase diagram is a valuable tool in understanding the behavior of substances and can provide information about phase transitions, phase stability, and the chemistry and amounts of phases present at different conditions.

To know more about equilibrium, refer here:

https://brainly.com/question/32014030

#SPJ4

Answer:

Children 109

Adults 329

Step-by-step explanation:

Let a = adults

Let c = children

a + c  = 438    or     a= 438 - c

2.50a + 1.75c  = 1013.25  Substitute in 438 - c for a

2.50(438 - c) + 1.75c = 1013.25  Distribute the 2.50

1095 - 2.50c + 1.75c = 1013.25  Combine like terms

1095 - .75c = 1013.25  Subtract 1095 from both sides

-.75 = -81.75  Divide both sides by -.75

c = 109  There are 109 children

Plug this back into a = 438 - c to find the number of adults

a = 438 - 109

a = 329  There are 329 adults.

The given data is,A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers.

Of the 60 subjects who participate in the study, 21 prefer the instant coffee. We need to find the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee, let's say p. The formula to calculate the proportion of the population is:

p = (n1 + n2) / (x1 + x2)n1 and n2 are the sample sizes of two categories and x1 and x2 are the number of favorable outcomes from the respective categories. Here, n1 = n2 = 60 and x1 = 39 (since 21 out of 60 prefer instant coffee, the remaining 39 must prefer fresh-brewed coffee).Now, p = (60 + 60) / (39 + 21) = 1.2. Since p is a probability, it must be between 0 and 1. But here, p is greater than 1, which is not possible. Therefore, there is an error in the given data and we cannot proceed with the calculation.

To know more about parallel lines visit:

https://brainly.com/question/16701300

#SPJ11

Answer:

they are corresponding angles, x=7

Step-by-step explanation:

75=11x-2

77=11x

x=7

Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

Answer:

43°

Step-by-step explanation:

A triangle has a total angle of 180° and we can use it to find the answer.

The attachment is a visualization of the triangle.

In order to find angle T, we can use the triangle formula to find t.

\( {180}^{o} = r + s + t\)

By substituting r and s, we will get

\( {180}^{o} = {85}^{o} + {52}^{o} + t\)

Hence, we can find T, which is

\(t = {180}^{o} - {85}^{o} - {52}^{o} = {43}^{o} \)

Bernard can use the equation h = (220 - (3.5 * 40))/40 to predict how many hours they will drive in the afternoon.

In this equation, h represents the number of hours they will drive in the afternoon, 220 is the total distance to the park, 3.5 is the duration of the morning drive in hours, and 40 is the average speed in miles per hour.

In the first paragraph, we summarize that Bernard can use the equation h = (220 - (3.5 * 40))/40 to predict the number of hours they will drive in the afternoon. This equation takes into account the total distance to the park, the duration of the morning drive, and the average speed. In the second paragraph, we explain the components of the equation. The numerator, (220 - (3.5 * 40)), represents the remaining distance to be covered after the morning drive, which is 220 miles minus the distance covered in the morning (3.5 hours * 40 miles per hour). The denominator, 40, represents the average speed at which they expect to drive. By dividing the remaining distance by the average speed, Bernard can calculate the number of hours they will drive in the afternoon to complete the trip to the Gold Coast State Park.

Learn more about average here:

https://brainly.com/question/8501033

#SPJ11

Answer:

√10 = 3.16

Step-by-step explanation:

using calculator

√10 = 3.162277660168379

Hundredths is the second decimal place.

Since the next decimal place is less than 5

there is no need to round up

√10 = 3.16

Based on the given data, a hypothesis test can be performed to determine if there is sufficient evidence to conclude that the die is loaded. The significance level for this test is 0.05.

In order to conduct the hypothesis test, we can use the chi-squared test for goodness of fit. The null hypothesis (H0) assumes that the die is fair, meaning that each number has an equal probability of occurring. The alternative hypothesis (Ha) suggests that the die is loaded, meaning that the probabilities are not equal.

Using the chi-squared test, we can calculate the test statistic and compare it to the critical value from the chi-squared distribution with 5 degrees of freedom (6-1). If the test statistic exceeds the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.

The chi-squared test will assess the difference between the observed frequencies and the expected frequencies assuming a fair die. If the observed frequencies deviate significantly from the expected frequencies, it would indicate that the die is loaded.

Performing the chi-squared test and comparing the test statistic to the critical value at a significance level of 0.05 will allow us to determine if there is sufficient evidence to conclude that the die is loaded.

Learn more about hypothesis test here:

https://brainly.com/question/17099835

#SPJ11

The ∆ABC is an isosceles triangle and have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

An isosceles triangle have the measure of its base angles to be equal, and the sum of the interior angles sum up to 180°.

Given that sides AB ≅ BC, then the triangle ∆ABC has two sides with similar length and base angles so;

angles m∠A and m∠C are the base angles are both equal to 51°

m∠B = 180° - (51 + 51)° {sum of interior angles of a triangle}

m∠B = 180° - 102°

m∠B = 78°

Therefore, the isosceles triangle ∆ABC have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

Read more about Isosceles triangle here:https://brainly.com/question/1475130

#SPJ1

For the given question there are always 425 skiers on the chair lift at any given time.

The chair lift unloads 1700 skiers per hour at the top of the slope. The ride from the bottom to the top takes 15 minutes. We have to determine the number of skiers who are riding on the lift at any given time.

There are a few steps that we can take to solve this problem:

Step 1:Calculate how long the trip is from top to bottom:

The trip from bottom to top takes 15 minutes.

Therefore, the trip from top to bottom would take the same amount of time.

Step 2:Calculate how many trips the lift makes in an hour:

We have to convert 1 hour to minutes.1 hour = 60 minutes

Therefore, 1 hour = 60/15 = 4 trips from top to bottom

Step 3:Calculate how many skiers are riding on the lift at any given time.

The chair lift unloads 1700 skiers per hour at the top of the slope.

So, every 15 minutes, 425 skiers are unloaded at the top.

Since the lift takes 15 minutes to make one trip, there are always 425 skiers on the lift at any given time.

There are always 425 skiers on the chair lift at any given time.

To know more about time visit:

brainly.com/question/15356513

#SPJ11

The researcher's purposeful manipulation of one factor to produce a change in another factor indicates experimental research.

Experimental research is a research method in which the researcher intentionally manipulates one variable (independent variable) to observe its effect on another variable (dependent variable). The purpose of experimental research is to establish cause-and-effect relationships by controlling and manipulating variables.
In an experimental study, the researcher sets up at least two groups: the experimental group, which receives the manipulated factor or treatment, and the control group, which does not receive the treatment. By comparing the outcomes of the experimental group with the control group, the researcher can determine whether the manipulated factor had a causal effect on the dependent variable.
Observational research, on the other hand, involves observing and recording data without manipulating any variables. Correlational studies examine the relationship betweenvariables without manipulating them. Case studies focus on in-depth analysis of a single individual or a small group.
Therefore, based on the description given, the researcher's manipulation of a factor to produce a change in another factor best aligns with experimental research.

learn more about experimental research here

https://brainly.com/question/31796841



#SPJ11

The correct answer is 7/12.

What is probability?

Let A = Getting multiple of  on the first one

     B = A total of  for both roll

P (A U B) = P(A) + P(B) - P(A ∩ B)

               \(\frac{18}{36} + \frac{5}{36} - \frac{2}{36} \\\\ = \frac{21}{36} \\\)

                \(\frac{7}{12}\)

Learn more about probability

brainly.com/question/9793303

#SPJ4

The length should be x ≥ 3 inch and 4x ≥ 12 square inches.

What is linear inequality?

The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠), can take the place of the equal sign "=" in this expression. Polynomial inequality, rational inequality, and absolute value inequality are the various kinds of mathematical inequalities.

Given a rectangle, length  = 4 inches

area is at least 12 square inches

inequality equation for area

A ≥ 12

area  = l x b

where l = length = 4 inches and b = breadth = x

A ≥ 12

4x ≥ 12

x ≥ 3 inches

Hence the breadth should be x ≥ 3 inches and equation of area is

4x ≥ 12 square inches.

Learn more about length here ;

brainly.com/question/11897796

#SPJ4

Answer:

$880, $990 & debit card

Step-by-step explanation:

Credit:

-920 + 1800

$880

Debit:

$990

the debit card

Answer:

c=d-ab

Step-by-step explanation:

ab+c=d

move over to the other side

change sides change signs

c=d-ab

Answer:

c=d−ab

Subtract ab from both sides of the equation

Answer:

Just as geometry has rules, definitions, postulates, and theorems that help with problem-solving and understanding the relationships of shapes and solids, the Bible provides a similar guide for living a Christian life. The Bible contains a set of principles and teachings that serve as a foundation for Christian beliefs and values. These principles and teachings help Christians to understand the nature of God and their relationship with him, as well as the principles for living a moral and virtuous life.

In the same way that geometry relies on deductive reasoning to draw conclusions and make predictions, Christians use their knowledge of the Bible to make decisions and navigate the challenges of daily life. The Bible provides guidance on a wide range of topics, including relationships, work, ethics, and personal growth, helping Christians to make wise choices and avoid pitfalls.

Additionally, just as geometry helps us to understand the spatial relationships of objects, the Bible helps us to understand our place in the world and our relationship with others. The Bible teaches us about the importance of love, compassion, and forgiveness, and helps us to see the value and worth of every human being.

Overall, the Bible serves as a guide for living a Christian life, providing principles, teachings, and guidance that help us to understand God, ourselves, and our relationships with others.

Step-by-step explanation:

Answer:

yes...........s..s.s..s..s..,...

Answer:

\(\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)(1+\sec^2(x-y)(8+x^2))}\)

Step-by-step explanation:

So we have the equation:

\(\tan(x-y)=\frac{y}{8+x^2}\)

And we want to find dy/dx.

So, let's take the derivative of both sides:

\(\frac{d}{dx}[\tan(x-y)]=\frac{d}{dx}[\frac{y}{8+x^2}]\)

Let's do each side individually.

Left Side:

We have:

\(\frac{d}{dx}[\tan(x-y)]\)

We can use the chain rule, where:

\((u(v(x))'=u'(v(x))\cdot v'(x)\)

Let u(x) be tan(x). Then v(x) is (x-y). Remember that d/dx(tan(x)) is sec²(x). So:

\(=\sec^2(x-y)\cdot (\frac{d}{dx}[x-y])\)

Differentiate x like normally. Implicitly differentiate for y. This yields:

\(=\sec^2(x-y)(1-y')\)

Distribute:

\(=\sec^2(x-y)-y'\sec^2(x-y)\)

And that is our left side.

Right Side:

We have:

\(\frac{d}{dx}[\frac{y}{8+x^2}]\)

We can use the quotient rule, where:

\(\frac{d}{dx}[f/g]=\frac{f'g-fg'}{g^2}\)

f is y. g is (8+x²). So:

\(=\frac{\frac{d}{dx}[y](8+x^2)-(y)\frac{d}{dx}(8+x^2)}{(8+x^2)^2}\)

Differentiate:

\(=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}\)

And that is our right side.

So, our entire equation is:

\(\sec^2(x-y)-y'\sec^2(x-y)=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}\)

To find dy/dx, we have to solve for y'. Let's multiply both sides by the denominator on the right. So:

\(((8+x^2)^2)\sec^2(x-y)-y'\sec^2(x-y)=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}((8+x^2)^2)\)

The right side cancels. Let's distribute the left:

\(\sec^2(x-y)(8+x^2)^2-y'\sec^2(x-y)(8+x^2)^2=y'(8+x^2)-2xy\)

Now, let's move all the y'-terms to one side. Add our second term from our left equation to the right. So:

\(\sec^2(x-y)(8+x^2)^2=y'(8+x^2)-2xy+y'\sec^2(x-y)(8+x^2)^2\)

Move -2xy to the left. So:

\(\sec^2(x-y)(8+x^2)^2+2xy=y'(8+x^2)+y'\sec^2(x-y)(8+x^2)^2\)

Factor out a y' from the right:

\(\sec^2(x-y)(8+x^2)^2+2xy=y'((8+x^2)+\sec^2(x-y)(8+x^2)^2)\)

Divide. Therefore, dy/dx is:

\(\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)+\sec^2(x-y)(8+x^2)^2}\)

We can factor out a (8+x²) from the denominator. So:

\(\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)(1+\sec^2(x-y)(8+x^2))}\)

And we're done!

The total number of  exercise stations on the trail is 2.

As per the question, Candace jogs 3 times around a 12-mile exercise trail. So, we can write that

Total distance covered by Candace on exercise trail = ( 3 × 12 ) miles

Total distance covered by Candace on exercise trail = 36 miles

There are exercise stations every 18mile along the trail, but there are no exercise stations at the start or end of the trail. So, we calculate the total number of  exercise stations on the trail by dividing the total distance covered by Candace on exercise trail by 18. Thus, we can write

The total number of  exercise stations on the trail = 36 / 18

The total number of  exercise stations on the trail =  2

Thus, total 2 exercise stations are there on the trail.

To know more about Mathematical Expressions refer to the link:

brainly.com/question/4344214

#SPJ4

Answer:

D. She multiplied p by 0.25 then subtracted that from p.

Step-by-step explanation:

p is the normal cost

discount is 25% so the total discount is 0.25p

the sale price = normal cost - discount = p - 0.25p = 0.75p

Answer:

Step-by-step explanation:The probability of a number less than 7 is : 3/4 .

Total Number of sides on Octahedral Die : 8

Number of Sides on Octahedral with numbers less than 7 : 6 {1,2,3,4,5,6}

Probability of number less than 7 : 6/8 = 3/4

#1234

The probability of rolling a number less than seven on an octahedral dice is 3/4.

An octahedral dice is a dice with eight ( 8 ) sides numbering starting from one ( 1 ) to eight ( 8 ).

When it is thrown it has equally likely to turn face up any of the numbers from one to eight.

We need to find the probability of rolling a number less than seven ( 7 ).

Numbers which are less than seven ( 7 ) are = { 1, 2, 3, 4, 5, 6 }

Total of six ( 6 ) numbers.

To get the required probability;

Probability of rolling number less than 7 = Possible number of outcomes / total number of outcomes

                                                                   = 6 / 8

                                                                   = 3 / 4

Probability of rolling number less than seven on an octahedral dice is 3/4.

To learn more about Octahedral click here:

brainly.com/question/14007686

#SPJ4

The best linear prediction rule minimizes the mean squared error when predicting from the mean. This rule aims to minimize the error between the predicted values and the actual values, resulting in more accurate predictions.

When it comes to linear prediction, the goal is to find a rule that can accurately estimate or predict an outcome based on given input variables. The best linear prediction rule is determined by minimizing the error between the predicted values and the actual values. One commonly used measure of prediction accuracy is the mean squared error (MSE).

To understand why the best linear prediction rule minimizes the MSE, let's break it down. The MSE is calculated by taking the average of the squared differences between the predicted values and the actual values. By minimizing the MSE, we are essentially minimizing the overall prediction error.

When predicting from the mean, the best linear prediction rule minimizes the MSE by finding a linear relationship between the input variables and the outcome. This rule is derived by analyzing the data and finding the coefficients that minimize the squared differences between the predicted values and the mean.

The error when predicting using the best linear prediction rule is minimized because this rule optimally captures the underlying patterns and relationships in the data. It takes into account the covariance between the input variables and the outcome, allowing for more accurate predictions.

Finally, the best linear prediction rule minimizes the mean squared error when predicting from the mean. By minimizing the error, this rule provides a more accurate estimation of the outcome variable based on the given input variables. It takes into account the relationships and patterns in the data, resulting in improved prediction accuracy.

Learn more about mean squared error here:

https://brainly.com/question/30763770

#SPJ11

Answer:

(1, 6.71)

Step-by-step explanation:

I'm assuming that you need to solve this by substitution or elimination since you didn't include any context in your question, just the equations.

To solve this by elimination, first, decide on a variable you want to get rid of / cancel out. I chose y. To do this, you need to find the least common multiple (LCM) of 7 and 5, which is 35. Now, multiply the top equation, 21x + 7y = 42, by -5. Multiply the bottom equation, -5x + 5y = 10, by 7. Make sure when you multiply that you either make the 5 or the 7 negative so you can cancel out y. I chose to make 5 negative.

After you multiply by the -5 and the 7, rewrite your new equations:

-105x - 35y = -210

-35x + 35y = 70

Now, add the two equations together. When you do this, the y's cancel out and you're left with -140x = -140. Now, divide both sides by -140, and you're left with x = 1. Plug the value of x into one of your original equations. I chose the bottom equation, -5x + 5y = 10.

-5(1) + 7y = 42   ----->   -5 + 7y = 42.

Add -5 to both sides, which gives you 7y = 47. Divide both sides by 7, which gives you y = 6.71.

The last step is to put the values of x and y into a point: (1, 6.71).

Hope this helps!

Answer:

Step-by-step explanation:

it help me alot

Thus, the probability of rolling one 3 and two 2s when rolling a six-sided die three times and obtaining a sum of 7 is 1/72.

To solve this problem, we need to use the concept of probability. The probability of rolling a certain number on a six-sided die is 1/6. We can use this information to determine the probability of rolling a specific combination of numbers on three rolls of the die.

First, let's consider the total number of possible outcomes when rolling a six-sided die three times. Each roll has six possible outcomes, so there are a total of 6 x 6 x 6 = 216 possible outcomes when rolling the die three times.

Next, we need to determine how many of these outcomes result in a sum of 7. To do this, we can use a table to list all of the possible combinations of three rolls that add up to 7:

1-2-4
1-3-3
1-4-2
1-5-1
2-1-4
2-2-3
2-3-2
2-4-1
3-1-3
3-2-2
3-3-1
4-1-2
4-2-1
5-1-1

There are 14 possible combinations that add up to 7.

Now, we need to determine how many of these combinations consist of one 3 and two 2s. There are three possible ways that this can occur:

2-2-3
2-3-2
3-2-2

Therefore, there are three outcomes that result in one 3 and two 2s.

Finally, we can determine the probability of rolling one 3 and two 2s by dividing the number of outcomes that meet the desired criteria (three) by the total number of possible outcomes (216):

P(one 3 and two 2s) = 3/216 = 1/72

Therefore, the probability of rolling one 3 and two 2s when rolling a six-sided die three times and obtaining a sum of 7 is 1/72.

Know more about the probability

https://brainly.com/question/23417919

#SPJ11