Dr fisher is researching the growth culture of bacteria. He records the count of bacteria, y, after x hours. He wants to determine whether there is a relationship between the amount of time passed and the count of bacteria. He finds that the linear model that best fits the data is y= -143+51x

Answer:

The y-intercept is 5, and the slope is -3/2, y=5

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

An input can't have 2 outputs. But, an output can have an 2 inputs.

Hope this helped!

If two lines are parallel, then they have the same slope.

If two lines are perpendicular, then the slope of one line is the negative reciprocal of the other line.

The equation of a given line is expressed as

y = mx + b

Where

m represents slope

c represents y intercept

Considering the first equa

Answer:

2π + 24 m² = 30.3 m²(3 s.f.)

Step-by-step explanation:

Area of rectangle: l x w

6 x 4 = 24 m²

Area of semicircle: πr²/2

r = 4/2 = 2

π x 2² / 2

4π / 2

2π

Total area: 2π + 24 m² = 30.3 (3 s.f.)

Answer:

2x - 9

Step-by-step explanation:

2 times x minus 9

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Linear pairs have sum 180°

\(\\ \rm\rightarrowtail m<MOP+46=180\)

\(\\ \rm\rightarrowtail m<MOP=180-46\)

\(\\ \rm\rightarrowtail m<MOP=134°\)

Answer:

you need to add 1

Step-by-step explanation:

add and subtract then multiply the you eat the and after that you do that

Answer:

I am not sure

Step-by-step explanation:

  i don't believe you've given enough context, here- specify, please

The correct answer is C. 33. In this economy, there are 45 potential workers and the number of people who are unemployed is 33.

The number of unemployed people is calculated by subtracting the number of employed people from the potential workers. Therefore, the number of unemployed people in this economy is 33 (45 - 12 = 33).

Unemployment is an important indicator of an economy's health. It measures the number of people who are looking for work but are unable to find it. When the unemployment rate is high, it means that economic growth is weak and businesses are not hiring as many new employees as they could be.

High unemployment can lead to increased poverty, social unrest, and economic stagnation. In order to create a healthy economy, it is important to ensure that the population of potential workers is met with the right number of available jobs.

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Answer:

1 and -3

Step-by-step explanation:

The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).

From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :

\(\qquad \sf  \dashrightarrow \:1 \: \: and \: \: - 3\)

Therefore, the correct choice is D

A plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

In this question, we have been given the tree heights recorded on a school campus.

A science teacher wants to choose a data display that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc.

We need to find a correct plot that will present the information in this way.

We know that in bar charts, each bar represents one value(category). And  in a histogram, each bar will represent a continuous data

Therefore, a plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

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Answer:

Step-by-step explanation:

A plot that will display information highlighting the number of trees in a range of heights, such as 60-64, 65-69, and so on: histogram

We were provided the tree heights reported on a school grounds in this question. A science instructor needs to select a data presentation that will show how many trees are in a given height range, such as 60-64, 65-69, and so on. We must find a suitable plot to portray the data in this manner. We know that each bar on a bar chart represents one value (category). And each bar in a histogram represents continuous data.

Answer:

B I do believe sorry if I'm wrong

The length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter

A rectangle has length 3 cm greater than it’s width

Consider the width of the rectangle = x

The length of the the rectangle = x + 3

The area of the rectangle = 28 square centimeter

The area of the rectangle = The length of the the rectangle × The width of the rectangle

Substitute the values in the equation

x(x+3) = 28

Apply the distributive property

\(x^2\)  + 3x = 28

\(x^2\) + 3x -28 = 0

Split the middle term and solve the equation

\(x^2\) -4x + 7x -28 = 0

Take common term outside

x(x-4) + 7(x-4) =0

Take common term outside

(x+7) (x-4) = 0

x = -7, 4

The length cannot be negative value

x = 4 centimeter

Then the length of the rectangle = x + 3

= 4 +3

= 7 centimeter

Hence, the length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter

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Answer:

6

Step-by-step explanation:

take 14.75 and minus the flat rate of 4.25 and then divide the 1.75 per mile and you get that you rode 6 miles

If one is the sole factor that connects a fraction's numerator and denominator, then that fraction is said to be in its simplest form.The mixed fraction is 33*3/4

As an illustration, the fraction 89 has only one common component between the digits 8 and 9, which is 1.Since fractions always work or can be calculated when they are in their simplest form, we simplify them.When two numbers are represented together, they are called mixed numbers.

Based on the given conditions, formulate:45 / 1/1/3

Convert the expression into a fraction: 45/1/1+1/1

Expand the fraction to get the least common demominator: 45/ 3/1*3+1/3

Calculate the product or quotient:45/3/3 +1/3

Write the numerators over common denominator:45/3+1/3

Calculate the sum or difference:45/4/3

Divide a fraction by multiplying its reciprocal:45* 3/4

Write as a single fraction:45* 3/4

Calculate the product or quotient:135/4

Convert to mixed fraction: 33*3/4

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The price for the monthly fee will be;

⇒ x = $9.99  

And, The price per movie rental will be;

⇒ y = $2.99

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Yolanda is charged $21.95 for her monthly fee and 4 movie rentals.

And, Jeffrey is charged $30.92 for the same monthly fee and 7 movie rentals.

Now,

Let the price for the monthly fee = x

And, The price for the movie rental = y

Hence, We can formulate the expression for Yolanda;

⇒ x + 4y = $21.95

And,  We can formulate the expression for Jeffrey;

⇒ x + 7y = $30.92

Subtract equation (ii) from (i), we get;

⇒ 7y - 4y = $30.92 - $21.95

⇒ 3y = $8.97

⇒ y = $2.99

And, x + 4y = $21.95

x + 4 × 2.99 = 21.95

x + $11.96 = $21.95

x = $21.95 - $11.96

x = $9.99

Thus, The price for the monthly fee = $9.99  

And, The price per movie rental = $2.99

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The auxiliary equation for the given higher-order differential equation is r^4 - r^3 + r^2 = 0. To find the roots, we can factor out an r^2 and get r^2(r^2 - r + 1) = 0. Therefore, the roots of the auxiliary equation are r = 0 and r = (1±i√3)/2.

To solve a higher-order differential equation, we must combine the complementary solution (obtained by guessing a function that satisfies the differential equation) and the specific solution (obtained by guessing a function that satisfies the differential equation). Because the differential equation only contains derivatives up to the fourth order in this example, the general solution will contain four arbitrary constants that can be selected by the starting or boundary conditions.

In summary, the roots of the auxiliary equation for the given higher-order differential equation are 0 and (1±i√3)/2. The generic solution of the differential equation will include four arbitrary constants that can be determined by the initial or boundary conditions presented.

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Answer:

1.65 grams

Step-by-step explanation:

19.54 - 17.89 = 1.65

Answer:

\(4x^2+9x+23\)

Step-by-step explanation:

Given:

\((4x^2+8x+15)+(x^2-x-27)-(x+5)(x-7)\)

multiply last set of parenthesis

\((4x^2+8x+15)+(x^2-x-27)-(x^2-7x+5x-35)\)

combine like terms

\((4x^2+8x+15)+(x^2-x-27)-(x^2-2x-35)\)

simplify

\((4x^2+8x+15)+(x^2-x-27)-x^2+2x+35\)

combine last set of parenthesis

\(4x^2+8x+15+x+8\)

simplify

\(4x^2+9x+23\)

Hope this helps! :)

Answer: To solve the equation, we need to simplify and isolate the variable (x) on one side of the equation.

Let's start by distributing the 3/2 on the left side:

3/2(x) - 3/2(5) - 3/2 = 9/2x

Simplifying:

3/2x - 15/2 - 3/2 = 9/2x

Combining the constants:

3/2x - 9/2 = 9/2x

Subtracting 3/2x from both sides:

-9/2 = 3/2x

Multiplying both sides by 2/3:

-3 = x

Therefore, the solution to the equation is x = -3.

Answer:

1,2546135 × 10^23

Step-by-step explanation:

125461345672828282272727 + 13 + 15 + 14

Answer:

A

Step-by-step explanation:

i had the same question when i had honors trust me :> you gut this

Answer:

\(\sqrt{y}\) ÷ xz²

Step-by-step explanation:

multiply the exponent of 'x' by -2 to get -1

multiply the exponent of 'y' by -2 to get 1/2

multiply the exponent of 'z' by -2 to get -2

= (x^-1)(y^1/2)(z^-2)

= 1/x · \(\sqrt{y}\) · 1/z²

=  \(\sqrt{y}\) / xz²

(a) Option A, if its value is a large positive number, statistic A x2 provides strong evidence for the alternative hypothesis.

(b) Option B, the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals.

(c) Option B, the variables considered in the chi-square test for the evaluation of contingency table B are categorical variables.

(a) If the x2 statistic is a large positive number, it provides strong evidence for the alternative hypothesis. The x2 statistic is used in hypothesis testing to determine if there is a significant difference between observed and expected frequencies. Large positive values ​​indicate that the observed frequency is significantly different from the expected frequency, supporting the alternative hypothesis.

(b) The hypotheses tested in the chi-square test for the contingency table are the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals. personal goals. This test determines whether there is a significant relationship between two categorical variables.

(c) The variables considered in the chi-square test used to evaluate the contingency table are categorical variables. These variables cannot be assumed to be mean or normally distributed. The chi-square test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.

Complete Question:

For each problem, select the best response (a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number. OB. exactly 1.96 c. a large negative number. D. close to o E. close to 1. (b) A study was performed to examine the personal goals of children in elementary school. A random sample of students was selected and the sample was given a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Each student's sex (boy or girl) was also recorded. If a contingency table for the data is evaluated with a chi-squared test, what are the hypotheses being tested? A. The null hypothesis that boys are more likely than girls to desire good grades vs. the alternative that girls are more likely than boys to desire good grades. OB. The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. C. The null hypothesis that there is no relationship between personal goals and sex vs. the alternative hypothesis that there is a positive, linear relationship. OD. The null hypothesis that the mean personal goal is the same for boys and girls vs. the alternative hypothesis is that the means differ. O E. None of the above. (C) The variables considered in a chi-squared test used to evaluate a contingency table A. are normally distributed. B. are categorical. C. can be averaged. OD. have small standard deviations. E. have rounding errors.

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Answer:

26 nickels

Step-by-step explanation:

Given that

Total contributed = $1.69

Number of coins = 5

based on the above information,

The number of nickels to be contributed is

Here first we have to determine the prime factors of 169 i.e 13 and 13

This represents that there are 13 member gives their $0.13 per person so it would be $1.69

Also there are 13 cents out of which 3 cents would be 3 pennies the remaining 10 cents would be 2 nickels

So the 13 people contributed to 2 nickels

Therefore,  it would be

= 13 × 2

= 26 nickels

Answer:

yes it is a function

Step-by-step explanation:

Therefore, the Marginal Rate of Technical Substitution (MRTS) in this Cobb Douglas production function is (0.45/0.55) * (L/K), or approximately 0.818 * (L/K).

To determine the Marginal Rate of Technical Substitution (MRTS) in a Cobb Douglas production function, we need to calculate the ratio of the marginal product of labor (MP_L) to the marginal product of capital (MP_K). In this case, the MRTS can be calculated as MRTS = MP_L / MP_K, where MP_L is the partial derivative of the production function with respect to labor (L) and MP_K is the partial derivative of the production function with respect to capital (K).

Taking the partial derivatives of the Cobb Douglas production function, we have:

MP_L = 0.45 * L^(-0.55) * K^0.55

MP_K = 0.55 * L^0.45 * K^(-0.45)

Now we can calculate the MRTS:

MRTS = MP_L / MP_K

= (0.45 * L^(-0.55) * K^0.55) / (0.55 * L^0.45 * K^(-0.45))

= 0.45/0.55 * (L^(-0.55) * L^0.45) * (K^0.55 * K^(-0.45))

= (0.45/0.55) * (L/K)

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This is technically impossible in real life, but we are assuming in this case that Rocco is going to constantly lose half a pound per week. Therefore, we can model this scenario using this equation:

Rocco's current weight = initial weight - (half pound per week * # weeks)

p = 55 - 0.5*w

Now if we follow the vet's advice than Rocco needs to lose 10 pounds making his new weight 55-10 = 45 pounds which means p = 45 and it would take 20 weeks (w=20)

Answer:

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.

The equation of the scenario is p=55-0.5w

The values of p must be any real number 45 to 55