how many times does 9 go into 12?

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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Step-by-step explanation:

a) Since the temperature of the oven is decreasing by a percentage of its current temperature each minute, the function that best represents this situation is an exponential function.

b) Let T be the temperature of the oven in degrees Fahrenheit at time x minutes after it was turned off. The initial temperature of the oven was 450° F, and the temperature decreases by 10% each minute. This can be expressed as:

T = 450(0.9)^x

Therefore, the function that models the situation is:

f(x) = 450(0.9)^x

where f(x) is the temperature of the oven in degrees Fahrenheit x minutes after it was turned off.

Answer:

1 year, 3 months, 16 days.

Step-by-step explanation:

Adding one year would get you to December 24, 2005. Then, adding 3 months would take you to March 24, 2006. Then, because March has 31 days, adding 16 to 24 would get you to 40. Subtract 31 from 40 and you get the remaining 9 days.

Step-by-step explanation:

When m > -3.1, the line should extend towards the right and the point at 3.1 should be an empty circle. (as m = 3.1 is not included in the solution set)

Hence the answer is Option D.

P.S. The reason why A is wrong is because the number line is wrongly labelled. -3.3, -3.2 and -3.1 are all less than -3 and should be on the left of the number line.

Using the percentage concept, the amount saved by purchasing today is $135

Given the Parameters :

The amount saved saved by buying at the discounted price can be calculated thus :

Amount saved = $540 × 25%

Amout saved = $540 × 0.25

Amout saved = $135.

Hence, the amount saved by purchasing today is $135.

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Based on the information given the amount save by buying today is $135.

First step is to calculate the discount

Discount=540 - (25%×$540)

Discount=$540 - $135

Discount =$405

Second step is to calculate the amount save.

Saved amount=$540-$05

Saved amount=$135

Inconclusion the amount save by buying today is $135.

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Answer: 8 (5+x)

Step-by-step explanation:

Answer:

It depends if you need to simplify or find the factor. If its to simply the answer is 3a^3+3a^3+9a+3

if you need the factor the answer is

3(a^3+a^2+3a+1)

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:2.088

Step-by-step explanation:

2.088

The slope of a line that passes through the points (1,−2) and (2,2) is 4.

The two given points are (1,-2) and (2,2).

We have to find out the slope of the line that passes through the two given points.

We know that the slope of a line passing through two points (\(x_{1} ,y_{1}\)) and (\(x_{2} ,y_{2}\)) is -

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

Using this formula for the given points (1,-2) and (2,2), we can find out the slope of the line passing through them as -

\(m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\= > m = \frac{2-(-2)}{2-1}\\ = > m = \frac{4}{1}\\ = > m = 4\)

Thus, the slope of a line that passes through the points (1,−2) and (2,2) is 4.

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The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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The first plane is farther from the airstrip after the second leg

The first plane

Initial distance = 150 miles west

Additional distance = 220 miles 30 degrees SW

This means that

Additional distance = 220 * cos(30) miles SW

Additional distance = 190.53 miles

Total distance = 150 + 190.53 = 340.53

The second plane

Initial distance = 220 miles east

Additional distance = 150 miles x degrees SE

This means that

Additional distance = 150 * cos(x) miles SW

Total distance = 220 + 150 cos(x)

Given that

x < 30

We have

Second plane < First plane

220 + 150 cos(x) < 340.53

Evaluate

cos(x) < 0.8035

Take the arc cos of both sides

x < 36

x < 36 is not the same as x < 30

Hence, the first plane is farther

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Answer:

5y + 8

and

8y +5 are the same solutions.

Answer:

Step-by-step explanation:

Answer:4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because of the value of the area

b is the answer

Answer:

\(c=\sqrt{\frac{2 \pi^5k^4}{15 \sigma h^3}}.\)

Step-by-step explanation:

\(if \ \sigma=\frac{2 \pi^5k^4}{15c^2h^3} , \ then\\\\c^2=\frac{2 \pi^5k^4}{15h^3 \sigma}.\)

finally,

\(c=\sqrt{\frac{2 \pi^5k^4}{15 \sigma h^3}} \ or \ c=\frac{\pi^2k^2}{h} \sqrt{\frac{2 \pi}{15h \sigma} } .\)

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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In a square, all the sides are the same length.

So, to find the length of the segment SR you can find the length of the segment QR using the formula of the distance between two points, that is:

So, in this case, you have

Therefore, the length of the segment SR is

Answer: The cost per pound for bananas is $1.5 per pound.

Step-by-step explanation:

To get this answer you will divide the cost by the amount of bananas you have.

Answer:

45%

trust me i took this test before

Step-by-step explanation:

The simplified value for the function at g(0) and g(2) are 2 and -20 respectively.

To simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given a function g(x) = -4x² - 3x + 2

to find the values of g(0)

and g(2)

for g(0)

substitute x = 0 in the equation,

g(x) = -4x² - 3x + 2

g(0) = -4(0)² - 3(0) + 2

g(0) = 2

for g(2), substitute x = 2 in the equation,

g(x) = -4x² - 3x + 2

g(2) = -4(2)² -3(2) + 2

g(2) = -4(4) - 6 + 2

g(2) = -16 - 6 +2

g(2) = -20

Hence the values for g(0) is 2 and for g(2) is -20.

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The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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Answer: A. \(d=\sqrt{(190-7t)^2+(130-4t)^2}\)

B. Minimum distance between them  = 18.61 feet.

C. After 28.76 seconds Sven and Rudyard are closest.

Step-by-step explanation:

A) Let (0,0) be the intersection point.

Then, Initial Location of Sven (0,190).

Speed of Sven = 7 feet per second

Then, position of Sven after t seconds = (0,190-7t)  [speed = distance x time]

Similarly, Initial position of Rudyard= (130,0)

Speed of Rudyard = 4 feet per second

Position after t seconds = (130-4t,0)

Distance d between Sven and Rudyard t seconds after they start walking:

\(d=\sqrt{(190-7t)^2+(130-4t)^2}\)

B) Let \(d(t)=\sqrt{(190-7t)^2+(130-4t)^2}\\\)

\(d'(t)=2(190-7t)(-7)+(2)(130-4t)(-4)\\\\=130t-3700\)

Put d'(t)=0

\(130t-3700=0\\\\\Rightarrow\ t=\dfrac{3700}{130}\approx28.46\ sec\)

Minimum distance :

\(d(28.46)=\sqrt{(190-7(28.46))^2+(130-4(28.46))^2}\\\\=\sqrt{346.154}\approx18.61\ feet\)

Hence, the minimum distance between them  = 18.61 feet.

c) After 28.76 seconds Sven and Rudyard are closest.

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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The percentage of data items that lie below the z-score of 3 is 99.87%.

In a normal distribution, the z-score represents the number of standard deviations a particular data point is away from the mean. The table provided gives the percentiles corresponding to different z-scores.

To find the percentage of data items that lie below a z-score of 3, we can look up the corresponding percentile in the table. In this case, the percentile for a z-score of 3 is given as 99.87%.

This means that approximately 99.87% of the data items in a normal distribution are below a z-score of 3.

Similarly, to find the percentage of data items that lie above a z-score of 3, we can subtract the percentage below the z-score from 100%. In this case, it would be 100% - 99.87% = 0.13%.

This means that approximately 0.13% of the data items in a normal distribution are above a z-score of 3.

Thus, these percentages indicate the relative position of the data points within the distribution. It provides a measure of how extreme or rare a particular value is in comparison to the rest of the distribution.

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Answer:

15 centimeters each = the two other sides of the triangle is 30 cm.

Step-by-step explanation:

Step-by-step explanation:

Slope intercept form is y=mx+c, where m is the slope and c is the y-intercept

y = -1*x + 8

y=-x+8