A recipe takes 90 minutes
to make. 25% of the time is
spent preparing the
ingredients. How many
minutes are spent
preparing?

Answer:

what are they? it depends lol

Answer:

C.They have the same y-intercept.

Step-by-step explanation:

Edge 2021

The conclusion about the two functions is (c) they have the same y-intercept.

Functions are used to represent equation, graphs and tables

The equation of the function is given as:

\(f(x) = (x + 4)^2\)

Set x = 0, to calculate the y-intercept

\(f(0) = (0 + 4)^2\)

Evaluate

\(f(0) = 16\)

From the complete question, the graph crosses the y-axis at y = 16

This means that both functions have the same y-intercept

Hence, the true statement about the functions is (c) they have the same y-intercept.

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Answer:

it should be 780 m cubed.

Step-by-step explanation:

the formula is V= 1/3 (l × w × h) if you want to check.

Answer:

1/6

Step-by-step explanation:

6 sides. 1 face with number 1. 1/6

Answer:

Question 1:

(b) 4,445

Question 2:

(c) 2.1%

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

Question 1:

We have no previous estimate for the population proportion, so we use \(\pi = 0.5\).

The sample size is n for which M = 0.015. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.015 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)

\(0.015\sqrt{n} = 1.96*0.5\)

\(\sqrt{n} = \frac{1.96*0.5}{0.015}\)

\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.015})^2\)

\(n = 4268\)

Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.

Question 2:

Now we find M for which \(n = 2222\).

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(M = 1.96\sqrt{\frac{0.5*0.5}{2222}}\)

\(M = 0.021\)

So 2.1%, and the correct answer is given by option c.

Answer:

where is the function  of x? your question is incomplete

Step-by-step explanation:

Answer:

f(x)=-3

therefore; x-3=0

x= 3

To reach his goal by loosing weight of 2 lbs per week he needs 15 weeks.

A function is a from of an mathematical equation where the dependent variable determines the value of the independent variable.

According to the given question

His current weight is 215 lbs his plan is to loose 2 lbs of weight per week.

To reach his goal of 185 lbs.

The function will be

185 = 215 - 2v                                              (here v represents no. of weeks)

2v = 215 - 185

2v = 30

v = 15

∴ He need 15 weeks to reach his goal.

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Check the picture below.

so we know the quadrilateral is a Rhombus, that means all sides are equal and that the diagonals bisect each other, furthermore the diagonals are perpendicular to each other, what the heck all that means?  Well, it means that if we look at any of the triangles, they all have a side of 16 and a hypotenuse of 20, so

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{20}\\ a=adjacent\\ o=\stackrel{opposite}{16} \end{cases} \\\\\\ a=\sqrt{ 20^2 - 16^2}\implies a=\sqrt{ 400 - 256 } \implies a=\sqrt{ 144 }\implies \stackrel{ EH }{a}=12\)

Using Scale Factor, the value of x = 33.6.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Scale factor = Dimension of the new shape / Dimension of the original shape is the fundamental formula used to calculate it.

The formula is expressed as Scale factor = Larger figure dimensions Smaller figure dimensions in the event that the original figure is enlarged.

Dimension of the large triangle divided by the little triangle is the formula to utilize.

Based on the accompanying figure,

The little triangle's corresponding side length is 28, whereas the giant triangle's side length is x.

Scale factor = 6/5 Scale factor = 6/5 = 28

x = 33.6

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Complete Question -

If the figures below are similar with a scale factor of 6:5, find the value of x

The LCM of 4 and 6 is 12.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, common multiples of 4 and 6 are 12, 24 and 36, but the lowest of those is 12; therefore, the lowest common multiple of 4 and 6 is 12.

Given:

4: 2 x 2

6: 2 x 3

Now, as there is one 2 common in both then it will be written for one time.

and the rest uncommon numbers are written as same as well.

So, LCM( 4, 6)= 2 x 2 x 3 = 12

Hence, the LCM of 4 and 6 is 12.

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Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:

1. Rectangle:

• Area: A = length x width

• Perimeter: P = 2(length + width)

2. Square:

• Area: A = side x side (οr A = side²)

• Perimeter: P = 4 x side

3. Circle:

• Area: A = π x radius²

• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)

4. Triangle:

• Area: A = (base x height) / 2

• Perimeter: P = side1 + side2 + side3

5. Trapezοid:

• Area: A = ((base1 + base2) x height) / 2

• Perimeter: P = side1 + side2 + side3 + side4

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solve : 2(5x + 3) = 25

▶️2(5x + 3) = 25

▶️ 2 × 8x = 25

▶️ 16x = 25

▶️ x = 25/16

▶️ x = 1.5625

1.5625

Step-by-step explanation:

Step 1:

2(5x+3)=25

(2)(5x) + (2)(3)=25 (distribute)

10x+6=25

Step 2:

10x+6 - 6 = 25 - 6

10x =19

Answer :

X=19 of 10

Answer:

No

Step-by-step explanation:

You cant have 2 y values

Answer:

it is indeed a function

Step-by-step explanation:

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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Answer:

ture

Step-by-step explanation:

A polynomial identity that should be used to prove that 40 = 49 − 9 is: B. Difference of Squares.

A polynomial function is a mathematical expression which comprises  variables (intermediates), constants, and whole number exponents with different numerical value, that are typically combined by using the following mathematical operations:

In Mathematics, the standard form for a difference of two (2) squares is modeled or represented by this mathematical expression:

a² - b² = (a + b)(a - b).

Where:

a and  b are numerical values (numbers or numerals).

Given the following equation:

40 = 49 − 9

40 = 7² - 3³

40 = (7 + 3)(7 - 3).

40 = (10)(4)

40 = 40 (proven).

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The solution of the equation -x² + 4 = x + 2 is at x = -2 and x = 1

An equation is an expression that shows how numbers and variables are related to each other.

Given the quadratic equation:

-x² + 4 = x + 2

Collecting like terms:

x² + x - 2 = 0

Plotting using a graph; the solution of the equation can be gotten by getting the point the graph crosses the x axis.

The solution is at x = -2 and x = 1

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To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

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Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

• (a)y = 1425 - 19.87x

• (b)The model predicts that the amount of gas consumed in a month when the temperature is 42 degrees Fahrenheit is 590.46 cubic ft.

• (c)For every degree increase in the temperature, the amount of gas consumed reduces by 19.87 cubic feet.

• (d)When the temperature is 0 degrees, the amount of gas consumed is 1425 cubic feet.

Explanation:

The relationship between the average temperature in a given month and the amount of gas needed to heat a particular home is:

Part A

• The slope of the line, b = -19.87

• The y-intercept, a = 1425.

The equation of the line of best fit is:

Part B

When the average temperature, x = 42 degrees.

The model predicts that the amount of gas consumed in a month when the temperature is 42 degrees Fahrenheit is 590.46 cubic ft.

Part C

The slope of the line = -19.87

This means that for every degree increase in the temperature, the amount of gas consumed reduces by 19.87 cubic feet.

Part D

By definition, the y-intercept is the value of y at which x is 0.

When x=0

A y-intercept of 1425 cubic feet mean that when the temperature is 0 degrees, the amount of gas consumed is 1425 cubic feet.

Answer:

Yes, 36+ 64 = 100

So bottom right answer

Step-by-step explanation:

5.02 is the answer as five and two hundredths

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

The tax paid by shania is $17.2

Step-by-step explanation:

The computation of the tax paid by shania is as follows:

= Cost of the shania groceries × sales tax rate

= $215 × 8%

= $17.2

by multiplying the cost of the shania groceries with the sales tax rate we can measured the tax paid by shania

hence, the tax paid by shania is $17.2