An English instructor asserted that students' test grades are directly proportional to the amount of time spent studying.
Lisa studies 6 hr for a particular test and gets a score of 76. At this rate, how many hours would she have had to
study to get a
score of 91?

To find the amount of wet food Luck mixed with the dry food, we can use the fact that he put 5/4 cups into each of the 4 bowls. Therefore, he used a total of 5/4 x 4 = 5 cups of wet food.

Thus, Luck mixed 3 cups of dry food and 5 cups of wet food to prepare the dog's meal.

The polynomial in standard form is -x^4 - x/7 + 1

From the question, we have the following parameters that can be used in our computation:

-x^4 + 1 - x/7

Rewrite the terms of the expression in descending of degrees

So, we have the following representation

-x^4 - x/7 + 1

The above is the standard form of the polynomial

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1

An equation of the line that goes through the point (-1, -3) and (3, 5) is y = 2x - 1.

An equation of the line in slope-intercept form that is perpendicular to the equation for obstacle 1 is y = -x/2 + 3.

In Mathematics, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁) or \(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)

Where:

At data point (-1, -3), a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\\\\y - (-3) = \frac{(5- (-3))}{(3-(-1))}(x -(-1))\\\\y +3 = \frac{(5+3)}{(3+1)}(x +1)\)

y + 3 = 2(x + 1)

y = 2x + 2 - 3

y = 2x - 1

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

2 × m₂ = -1

m₂ = -1/2.

At point (-4, 5), an equation of the line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x + 4)

y = -x/2 - 2 + 5

y = -x/2 + 3

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

Answer:

fgd

Step-by-step explanation:

Answer:

Removing pennies and dimes from the bag

Step-by-step explanation:

From the beginning, we have a 1 in 3 chance of drawing a quarter. If we were to add dimes and/or pennies to the bag, this would make us more likely to draw a dime or a penny, and less likely to draw a quarter. Proportionally, we want the most quarters in the bag to get the highest probability of drawing a quarter from the bag.

The researcher is conducting an experiment to evaluate the effectiveness of the new preservative in extending the shelf life of the perishable food items.

The method that the researcher is applying in this scenario is an experiment.

In an experiment, the researcher manipulates or controls one or more variables to observe the effects on other variables. In this case, the researcher is comparing the shelf lives of two batches of perishable items, where the only difference is the addition of the new preservative to the second batch. By adding the preservative to one batch and not to the other, the researcher is introducing a controlled variable to test its impact on the shelf life of the perishable items.

Therefore, the researcher is conducting an experiment to evaluate the effectiveness of the new preservative in extending the shelf life of the perishable food items.

for such more question on effectiveness

https://brainly.com/question/14768591

#SPJ8

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

for more such questions on lengths

https://brainly.com/question/28322552

#SPJ8

Based on the principle of prudence, Theo should record the transaction, Sarah shouldn't, Jacob should, Jerry shouldn't, and JSL Inc. should record the transaction in the company accounts based on the principle of prudence.

1. Theo estimates that he might have to incur additional expenses for the purchase of raw materials next month.

  - Should record the transaction: It is prudent to anticipate and record potential expenses to reflect a more accurate financial position.

2. Sarah estimates that the market value price of the office building has risen by $50,000.

  - Shouldn't record the transaction: The principle of prudence suggests that gains should only be recorded when they are realized, not based on estimated market value changes.

3. Jacob bought goods for the business on credit.

  - Should record the transaction: Purchasing goods on credit should be recorded to accurately reflect liabilities and the financial position.

4. Jerry buys fuel for his personal car.

  - Shouldn't record the transaction: Personal expenses should not be recorded in the company accounts as they are unrelated to the business.

5. JSL Inc. bought stocks of another company.

  - Should record the transaction: Buying stocks of another company should be recorded as an investment to reflect the company's financial holdings.

Note: It's important to consider specific accounting regulations and policies that may vary depending on the jurisdiction and the nature of the business.

For more such questions on the principle of prudence: https://brainly.com/question/14297228

#SPJ11

The correct answer is System 1: Infinitely many solutionsSystem 2: One solutionSystem 3: No solution

Let's analyze each system of linear equations and determine the number of solutions they have.

y = x + 6 and 3x - 3y = -18

In this system, the first equation is a linear equation in slope-intercept form, and the second equation is a linear equation in standard form. The two equations represent the same line. Since they are the same line, they intersect at infinitely many points. Therefore, this system has infinitely many solutions.

y = -4x + 11 and -6x + y = 11

Both equations in this system are in slope-intercept form. The slopes of the two lines are different (-4 and -6), indicating that the lines are not parallel. Since the lines are not parallel and have different slopes, they intersect at a single point. Therefore, this system has one solution.

y = -2x + 5 and 2x + y = -7

Both equations in this system are in slope-intercept form. The slopes of the two lines are equal (-2 and 2), but their y-intercepts are different. When the slopes are equal and the y-intercepts are different, the lines are parallel and do not intersect. Therefore, this system has no solution.

Matching the systems with the correct number of solutions:

System 1: Infinitely many solutions

System 2: One solution

System 3: No solution

Learn more about equation here:

https://brainly.com/question/29174899

#SPJ8

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

Answer: 4

I’m sorry, I could not find any other methods except for finding the closest perfect square which was 2116. (46^2)

The matrix expression for this model is given by

T=

[ 1-a, a, 0; 0, 1-B, B; 0, 0, 1]

When a = 0.10 and B = 0.05, the matrix expression becomes:

T=

[ 0.90, 0.10, 0; 0, 0.95, 0.05; 0, 0, 1]

This matrix expression describes the transition probabilities of the virus over time. Specifically, it describes the probability of a person who has never been infected (S) becoming infected (I) in the next day (a = 0.10), the probability of a person who is infected (I) in the current day  in the next day (B = 0.05), and the probability of a person who has recovered (R) staying recovered in the next day (1). Thus, this matrix expression models the progression of a contagious virus through a population over time.

Learn more about matrix here:

https://brainly.com/question/28180105

#SPJ4

Answer:

There are 50,000 decimeters in 5 kilometers

Step-by-step explanation:

as for showing my work not really sure what you want me to do it's pretty straightforward, butttttttt what i did was multiply the length value by 10,000, so \(10,000=10^4\)

I'm not sure if that's what you're looking for but I hope this helps :)

A. Ram spent $18 on six pens and six books. The grand total is $72.

B. The cost of each pen is $9.

C. The variable is called x.

What is an equation?

A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).

Here, we have

Given: the equation 6x + 18 = 72:

A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.

B. The following equation will be used to demonstrate this:

6x + 18 = 72

Compile similar terms.

6x = 72 - 18

6x = 54

On dividing,

x = 54 / 6.

x = $9

Hence, each pen will set you back $9.

C. The variable's value is x = 9.

Hence, the pen's price is 9.

To learn more about the equation from the given link

https://brainly.com/question/28405823

#SPJ1

Answer:

Step-by-step explanation:

17

Answer:

75.36

Step-by-step explanation:

if its 25.12 jus multiply it by 3 since its tripled

Given the quadratic equation:

Solve for x:

So, the value of x = {0, b}

Now, the value of b when there is more than one solution will be all the real numbers except zero

So, b = R - {0}

And the value of b when there is only one solution will be: b = {0}

Answer:

D. G is the largest

Step-by-step explanation:

1. Draw a triangle and label it so it says G, H, and J, on its points.

2. Write 21 between the G and H. Write 24 between the H and J. Write 9 between G and J.

3. Since side HJ is 24 inches, larger than GH and GJ, the angle across from it is also the largest. If you look at your drawn triangle the angle across from side HJ is angle G.

-19.99; The line of best fit underpredicts the student's science test score.

So correct option is A.

A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.

The predicted science score for the student with IQ 100 can be calculated using the line of best fit:

ŷ = −20.3 + 0.7489 * 100 = 71.59

The residual is the difference between the actual science test score and the predicted science score:

residual = actual score - predicted score = 52.6 - 71.59 = -19.99

So the line of best fit underpredicts the student's science test score by 19.99 points.

Therefore, the residual is:

-19.99; The line of best fit underpredicts the student's science test score.

To know more about residual visit:

https://brainly.com/question/7467603

#SPJ1

Answer:

80

Step-by-step explanation:

10(8)=80

Answer:

4 dozen

Step-by-step explanation:

4 cups flour = 12 cookies    [1 dozen=12]

1 cup of flour= 12/4 cookies

                    =3 cookies

now,

16 cups of flour= 3*16 cookies

                        =48 cookies

                         = 4 dozens          [48/12=4    dozen]

therefore, 4 dozen cookies can be made with 16 cups of flour

Answer: 144

Step-by-step explanation:

Answer:

$17

Step-by-step explanation:

data:

In statistics, the range is the difference between the highest value and the lowest value of the data set.

Highest value = $147

Lowest value = $130

Range = $17

Looking at the graph of item C in question 5, we can see that it is a straight line, so it is represented by a linear equation of the form:

We can also see that, when the value of x increases, the value of y also increases, which means the slope of the line is positive (m > 0).

With this information and looking at the options, we can conclude that the correct option is B.

Answer:

6

Step-by-step explanation:

x-4=2

+4    +4

x=6

Hope this helps!

Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

Learn more about Slope of y-Coordinate here

https://brainly.com/question/17024646

#SPJ1

Answer:

52+4? that's 56. the simplified version 4ft 6in

Step-by-step explanation:

Answer:

  7/3

Step-by-step explanation:

To write the ratio with no units. we need to have both parts of the ratio in the same units. That way the units cancel.

__

  6 weeks : 18 days = (6×7) days : (6×3) days = 7 : 3

The ratio as a fraction is ...

  (6 weeks)/(18 days) = 7/3

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

\(Solution,\\Here,\\Hypotenuse(h)=\frac{37}{3} =12.34yd\\Base(b)=4yd\\Perpendicular(p)=?\\Now,\\Using- pythagoras-theorem,\\h^{2} =p^{2} +b^{2} \\(12.34yd)^{2} =p^{2} +(4yd)^{2} \\152.11yd^{2} =p^{2} +16yd^{2} \\p^{2} =152.11yd^{2} -16yd^{2} \\p=\sqrt{136.11yd^{2} } \\p=11.667\)

a≈11.667

Step-by-step explanation: