3. Noah's oven thermometer gives a reading that is 2% greater than the actual
temperature.
b. If the thermometer reading is 76°F, what is the actual temperature?

Answer:

Step-by-step explanation:

Answer:

y = 10

Step-by-step explanation:

calculate the slope m of the 2 points using the slope formula and equate to the given slope.

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (5, 6 ) and (x₂, y₂ ) = (10, y )

m = \(\frac{y-6}{10-5}\) = \(\frac{y-6}{5}\)

equate this expression for m to the given m of \(\frac{4}{5}\)

\(\frac{y-6}{5}\) = \(\frac{4}{5}\) ( cross- multiply )

5(y - 6) = 20 ( divide both sides by 5 )

y - 6 = 4 ( add 6 to both sides )

y = 10

Answer: 2,147,483,648

Step-by-step explanation: Long number, but the pattern is to keep multiplying the previous number by 4

The 15th term of the geometric sequence 8, 32, 128.... is 2147483648

aₙ = arⁿ⁻¹

where

Therefore,

a = 8

r = 32 / 8 = 128 / 32  = 4

Hence,

a₁₅ = 8 × 4¹⁵⁻¹

a₁₅ = 8 × 4¹⁴

a₁₅ = 8 × 268435456

a₁₅ = 2147483648

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The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

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The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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12

Step by Step, Following the rules of Pemdas

22 - (3.1 + 4.4) + 2.5

22 - 7.5 + 2.5

22 - 10

12

-Ɽ3₮Ɽ0 Ⱬ3Ɽ0

According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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Answer:

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

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

To find the point slope form, plug in the point given and the slope.

y - y1 = m(x - x1)

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

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Step-by-step explanation:

do

y2-y1

x2-x1

(-1+1)/(4-8)

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

The most appropriate way to model 9485 with the base ten blocks is
9 - thousand, 4 - hundred, 8- ten, and 5 - once.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Base ten block implies the number of blocks according to the digit representation,
For the given question,
The number represents there are 9485 cubes, which can be represented as 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

Thus, the most appropriate way to model 9485 with the base ten blocks is 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

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Angle JKL has a measure of 24 degrees while angle LKM has a measure of 12 degrees

The possible question is added at the end of the solution and as an attachment

From the attached figure, we have the following angles

From the attached figure, we can see that:

Angle 1 is twice the measure of angle 2

This is so because, the angle 1 is the vertex angle of an isosceles triangle

While the angle 2 is half of it

So, we have

Angle 1 = 2 * Angle 2

Substitute the known values in the above equation

So, we have

2 * 3x = 5x + 4

Evaluate the product

So, we have

6x = 5x + 4

Evaluate the like terms

x = 4

Substitute x = 4 in the equations JKL=5x+4 and LKM=3x

So, we have

JKL= 5 x 4 + 4

LKM = 3 x 4

Evaluate the equations

So, we have

JKL= 24

LKM = 12

Hence, the measures of the angles are JKL= 24 and LKM = 12, respectively

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Answer:

SORRY I CAN NOT HELP YOU

Answer:

26

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

hope this helps

Answer:

I believe your answer should be B.) I hope this helps! :D

Answer:

11/14 or 0.786

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\text{The area of a circle is}\\ \\ A=\frac{\pi d^2}{4}\\ \\ d=20ft\\ \\ A=\frac{\pi (20^2)}{4}\\ \\ A=\frac{400\pi}{4}\\ \\ A=100\pi ft^2\)

Answer:

See below

Step-by-step explanation:

Assuming the interest is compounded annually

x * (1 + .10)^5 = 1.61051  x

  your final amount will be  1.61051 times bigger than the initial deposit

Answer:

1. Which score is the mode? 92.

2. Which score is the median? 92.

3. On which test did students average a 91? 3.

Step-by-step explanation:

Completed this on Edge!

In computing, data is information that has been translated into a form that is efficient for movement or processing.

Given:

                   1     2    3

Student A   89  78  92

Student B   81   75  80

Student C   97  98  98

Student D   92  92  94

According to the given data most repeating data is 92 which is the mode.

Now, the median is 92.

and, the average which gives 91 is the test 3rd

92+ 80 +98 +94 /4

=364/4

=91

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Answer:

Here are the steps for conducting a survey in your school to find out which mode of transportation students prefer the most, arranged in order from start to finish:

1) Define the objective: Clearly define the objective of the survey, which is to determine the preferred mode of transportation among students in your school.

2) Determine the sample size: Decide on the number of students you want to include in your survey. This will depend on factors such as the size of your school and the resources available for conducting the survey.

3) Design the survey questionnaire: Create a well-designed survey questionnaire that includes relevant questions about different modes of transportation. Ensure that the questions are clear, unbiased, and cover all the necessary aspects.

4) Seek necessary permissions: If required, seek permission from school authorities or relevant individuals to conduct the survey on school premises and to involve students.

5) Pre-test the survey: Before distributing the survey to the entire student population, pre-test the questionnaire on a small group of students to identify any potential issues or areas for improvement.

6) Distribute the survey: Once the questionnaire has been finalized and pre-tested, distribute it to the selected sample of students. Ensure that the survey is distributed in a fair and unbiased manner, taking into account the diversity of the student population.

7) Collect the survey responses: Set a specific timeframe for students to complete the survey and collect the responses. Consider using a combination of online platforms and physical collection methods to maximize participation.

8) Analyze the data: Once you have collected all the survey responses, analyze the data to determine the preferred mode of transportation among students. Use appropriate statistical tools and techniques to interpret the results accurately.

9) Present the findings: Prepare a report or presentation summarizing the survey findings. Include key insights, trends, and any significant findings related to the preferred mode of transportation among students.

10) Share the results: Share the survey results with the school community, including students, teachers, and administrators. This can be done through presentations, newsletters, or other suitable communication channels.

By following these steps, you will be able to conduct a comprehensive survey to determine the preferred mode of transportation among students in your school.

Hope this helps!

I can not do it for you but I can give you what you should do

Explanation: take a survey

Answer:

The Answer is A

Step-by-step explanation:

Just Did the Assignment

Answer:

(4/7 , 1 4/7)

Step-by-step explanation:

Answer:

\(\sf (-\dfrac{4}{7} ,1\dfrac{4}{7} )\)

given:

insert question 2 into 1

\(\sf -x + 1 = 6x + 5\)

\(\sf -x - 6x = 5 - 1\)

\(\sf -7x = 4\)

\(\sf x = -\frac{4}{7}\)

find the value of y:

\(\sf y = -x + 1\)

\(\sf y = -\frac{-4}{7} + 1\)

\(\sf y = \frac{4}{7} + 1\)

\(\sf y = \frac{4}{7} +\frac{7}{7}\)

\(\sf y = \frac{11}{7}\)

\(\sf y = 1\frac{4}{7}\)

Therefore coordinates: (x,y) = \(\sf (-\dfrac{4}{7} ,1\dfrac{4}{7} )\)

Answer:

Step-by-step explanation:

(a) Mean = (39+50+50+55+55+55+65+85+100+125+175+175+200+

209+250+250+325+400+425+500+500+500+500+1500+2500) ÷ (25)

               = (9088) ÷ (25)

              = 363.52

The mean of the data is 363.52

(b) Given: 39, 50, 50, 55, 55, 55, 65, 85, 100, 125, 175, 175, 200, 209, 250, 250, 325, 400, 425, 500, 500, 500, 500, 1500, 2500.

the median value is 200.

(c) The mode is the value with highest frequency. The mode is 500.

(d)  Mid range = \(\frac{39+2500}{2} \\\)

                      = 1269.5

An outlier is a value that is significantly different from other values in the data, thus affects the mean considerably. Yes, 2500 is the outlier.

Answer: Gallons

Good Luck!

If Bill buys a large can of paint. The size of the can is measured in Gallons.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity

Given that Bill buys a large can of paint.

We need to find the unit of measuring the size of the can.

A Unit of measure is the actual unit in which the associated values are measured.

The dimensionality of the associated conceptual domain must be appropriate for the specified unit of measure.

The size of the can is measured in Gallons

So if Bill buys a large can of paint then it can be measured in gallons.

Hence, if Bill buys a large can of paint. The size of the can is measured in Gallons.

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Answer:

104

Step-by-step explanation:

The measure of angle 4 for the given parallel lines and angle is equal to 26°.

In the figure the parallel lines and the transversal forms angle 1 , angle 2 , and angle 4.

As per the diagram,

Angle 1 is vertically opposite angle to angle 2.

This implies,

Measure of angle 1 = Measure of angle 2.

Here, Measure of angle 1 =  26 degrees.

⇒ Measure of angle 2 = 26 degrees ( vertically opposite angles)

Now , Angle 2 and angle 4 are corresponding angles.

⇒measure of angle 2 = measure of angle 4

⇒ Measure of angle 4 = 26 degrees.

Therefore, the measure of angle 4 is equal to 26°.

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Answer:

The answer would be $641.47 I believe.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.