3. Tanya uses photo editing software to reduce an image. The original is - 6 inches wide and 4 inches long. The reduced image is 3 inches wide. 6 The ratio of width to length is equivalent for both images. Explain how Tanya can calculate the height of the reduced image.​

The predicted population in the year 2030 is 10 people

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

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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\(\frac{3}{8}(24)=\boxed{9}\)

A total of 6 students play sudoku and checkers both.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Number of students = 24

Fraction who plays checkers = 2/3

So,

⇒ 2/3 × 24 = 16 students.

Now,

3/8 fraction of students(out of this 16) also play sudoku

So,

3/8 × 16 = 6 students.

Hence "A total of 6 students play sudoku and checkers both".

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The given question is incorrect,the correct question is ;

In Mr. Barclay's classroom, 2/3  of the students play checkers. Of the students who play checkers 3/8,  also play sudoku. If there are 24 students in his class, how many play checkers and sudoku? There is/are a student(s) who play both checkers and sudoku

9514 1404 393

Answer:

  -26, -25

Step-by-step explanation:

The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.

Hence, one is -26 and one is -25.

Answer:

its pretty simple actually put a point after the -1 (-0.9) and move left twice from -1 to get the plot point -1.2

Answer:

decimal: 2.25

fraction: 9/4

Step-by-step explanation:

Answer:

Fraction: 15/4

Decimal: 3.75

She should divide both sides by -5 while multiplying the other side by -5. She also did not replace the > symbol with a symbol.

An inequality in mathematics is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.

From given question :

-5x-3.5>6.5

-5x > 10

X > -50

Since, we have to solve for x

so, we will isolate x on anyone side

step-1:

Add both sides by 3.5

- 5x - 3.5 + 3.5 > 6.5 + 3.5

- 5x > 10

step-2:

Divide both sides by -5

we know that whenever we divide both sides by negative sign , it's inequality gets revered

so, we get

- 5x / -5 < - 50 / -5

we get

x < 10

so,

She should divide both sides by -5 while she multiplied by -5 on other side

and she also did not change the > symbol to a < symbol

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The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

It increase by 3 each time

Step-by-step explanation:

add 3 to 2 to get 5. then add 6 to 4 to get 10, etc.

Plzz give brainliest. I will make my day, thank you! :)))

Answer:

this doesn't even seem like a question

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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Answer:

Answer:the answer is zero

Answer:the answer is zero Step-by-step explanation:

Answer:the answer is zero Step-by-step explanation:when we add -42 and -54 the answer we get is -96. -96and +96 cut each other and then the answer is zero

\( - 42 - 54 + 96 = 0\)

Answer:

all are true

Step-by-step explanation:

if that blank spot is where youre supposed to put true or false, then yeah if you mulitply them they equal eachother for every equation

1. Equation is true

2. Equation is true.

3. Equation is true.

1. 45 x 18 = (40 x 10) + (40 x 8) + (5 x 10) + (5 x 8)

  To verify this, let's calculate each side of the equation:

  Left side: 45 x 18 = 810

  Right side: (40 x 10) + (40 x 8) + (5 x 10) + (5 x 8) = 400 + 320 + 50 + 40 = 810

  The equation is true: 810 = 810

2. 99 x 31 = (100 x 31) - (1 x 31)

  To verify this, let's calculate each side of the equation:

  Left side: 99 x 31 = 3069

  Right side: (100 x 31) - (1 x 31) = 3100 - 31 = 3069

  The equation is true: 3069 = 3069

3. 64 x 15 = 32 x 30

  To verify this, let's calculate each side of the equation:

  Left side: 64 x 15 = 960

  Right side: 32 x 30 = 960

  The equation is true: 960 = 960

In all three cases, the equations are true, meaning that the left-hand side of each equation is equal to the right-hand side.

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Value of base and hypotenuse of triangle are 9√3 and 18 respectively.

A right triangle is a triangle with one interior angle measuring 90 degrees, known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are known as the legs of the right triangle. The length of the hypotenuse can be found using the Pythagorean theorem,  that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Height of triangle=9

Base of triangle=y

Hypotenuse of triangle=x

Using trigonometric ratio

Sin30°=Height/Hypotenuse

½=9/x

x=18

Cos30°=Base/hypotenuse

√3/2=y/18

y=9√3

Hence, value of base and hypotenuse of triangle are 9√3 and 18 respectively.

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The average rate of change of the function over the interval is 4

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

y = 4x + 1

The interval is given as

[-1, 1)

The function is a linear function

This means that it has a constant average rate of change

From y = 4x + 1, we have

Rate = 4

Hence, the rate is 4

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The marginal cost of producing the next unit of output always affects the average total cost, so the marginal cost curve always intersects the average total cost curve at its lowest point.

The difference in overall production costs caused by creating or producing one more unit is known as the marginal cost.

By producing at the point where marginal cost (MC) equals marginal revenue, a business can optimize its earnings (MR).

Because fixed costs are fixed regardless of output levels, larger production spreads the total fixed cost over more units, resulting in a lower fixed cost per unit.

Production levels affect variable costs, so increasing the number of units will increase those costs.

Companies need to be aware of the situations when expanding production entails step costs as a result of shifting relevant ranges.

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Revolutions per minute = (33π/4)/(2π) = 33/8  and this is  33/(8 x 60) = 33/480 revolutions per second

Ten revolutions will therefore take  10 / (33/480) = 4800/33 = 145.5 sec

Answer: the answer is "145.5" seconds

Step-by-step explanation: I took the test.

Answer:

-1/3

Step-by-step explanation:

this is the best answer

Answer:

y = 42 - 3/4 * x

Step-by-step explanation:

From the statement we know that the following:

x + y = 56

y = 56 - x

x beads of Nicole and another person's beads, after losing a 1/4 of the beads, it would be:

y = (3/4) * (56 - x)

y = 42 - 3/4 * x

From here on you should know the number of beads that Nicole has or suppose, for example:

x = 12

y = 42 - 3/4 * 12

y = 33

Therefore, you would have 33 beads.

The image point of (0, -6) after the transformation D1/2 ° r y = -x is (-3, 0).

To find the image point of (0, -6) after the transformation D1/2 ° r y=-x, we need to apply the transformation steps in the given order.

First, let's consider the reflection y = -x. This reflection involves swapping the x and y coordinates. So, the image point after the reflection will be (-6, 0).

Next, we need to apply the dilation by a scale factor of 1/2 (D1/2). This dilation involves multiplying the x and y coordinates by the scale factor. Therefore, the image point after the dilation will be (-6/2, 0/2), which simplifies to (-3, 0).

The transformation involves reflecting the point across the line y = -x and then dilating it by a scale factor of 1/2.

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The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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If the price is $100 for up to, and including, 1.5 hours of labor, so when the value in the horizontal axis is 1.5, the value in the vertical axis is 100, that is, the point at (1.5, 100) is a full circle.

In the same way, the points (3, 150) and (4.5, 190) are full points, because the price is $150 for 3 hours and $190 for 4.5 hours of work.

Therefore the correct graph is the first one.

Answer:

A and F

Step-by-step explanation:

The dairy farmer should use 400 pounds of the 75% protein supplement and 800 pounds of the 30% protein ration to make 1200 pounds of a high-grade 45% protein ration.

To determine how many pounds of each protein supplement the dairy farmer should use, we can set up a system of equations based on the given information.

Let's denote the following:

x = pounds of the 75% protein supplement

y = pounds of the 30% protein ration

The total weight of the mixture is 1200 pounds, so we have the equation:

x + y = 1200

The protein content in the mixture should be 45% of the total weight, so we have the equation:

0.75x + 0.30y = 0.45 * 1200

Now we can solve this system of equations.

First, let's rewrite the second equation in decimal form:

0.75x + 0.30y = 540

To make it easier to work with, we can eliminate the decimals by multiplying both sides of the equation by 100:

75x + 30y = 54000

Now we have a system of equations:

x + y = 1200

75x + 30y = 54000

We can solve this system using any appropriate method, such as substitution or elimination. In this case, let's use the substitution method:

Solve the first equation for x:

x = 1200 - y

Substitute the value of x into the second equation:

75(1200 - y) + 30y = 54000

Simplify and solve for y:

90000 - 75y + 30y = 54000

-45y = -36000

y = 800

Now we can substitute the value of y back into the first equation to find x:

x + 800 = 1200

x = 1200 - 800

x = 400

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1) Note that this is an exponential function.

a) Let's find this initial temperature algebraically, we need to consider that the temperature of that coffee by the time it was handed out was measured for the instant of time t=0

b) Now, for part B we know that the final temperature is 98º. So, we can write out the following:

Approximately 19 minutes

We are required to find the probability that a student chosen at random will have a grade B or a higer grade.

This means that the students can either have a grade B or a grade A

The use of or in probability simply means an addition of the probabilities involved.

Now we have ;

The required probability is now

The right choice is OPTION D

Answer:

32

Step-by-step explanation:

From the chart

Male: Female=5:4

Number of Males in Electrical Engineering=40

Let the total population of the student=x

Therefore:

\(\dfrac59 \times 20\%$ of x=40\)

5*0.2x=40*9

x=360

Number of Females in the Civil Department

\(=\dfrac49 \times 30\%$ of 360\)

=48

Number of Females in the Mechanical Department

\(=\dfrac49 \times 10\%$ of 360\)

=16

Difference in the number of females

=48-16

=32

Answer:

thats a cone

Step-by-step explanation:

The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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