Write a decimal equivalent to 9/20 (15 points)

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

The two angles are supplementary

Step-by-step explanation:

Not sure if this is an option, but it would make sense with the question

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

The diagram is given below.

More about the angled link is given below.

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I think that the answer is 21.2 .I can't say it with confidence but still maybe it will help you

Answer:

\(A) 81x^{-12}y^{20}\)

B) 5

Step-by-step explanation:

\(A) (3x^{-3}y^5)^4=(3)^4 \,\cdot\, (x^{-3})^4\,\cdot\,(y^5)^4=81x^{-12}y^{20}\\\\B) 5x^0=5(1)=5\)

Answer:

Step-by-step explanation:

In a right-angled triangle, by definition:

sinX = opposite side / hypothesis

= 5/13

tanX = opposity side / adjacent side

= 5/12

cosX = adjacent side / hypothesis

= 12/13

\(\\ \rm\hookrightarrow sinX=\dfrac{Perpendicular}{Hypotenuse}=\dfrac{5}{13}\)

\(\\ \rm\hookrightarrow cosX=\dfrac{Base}{Hypotenuse}=\dfrac{12}{13}\)

\(\\ \rm\hookrightarrow tanX=\dfrac{sinX}{cosX}=\dfrac{5}{12}\)

Answer:

D is the answers for the question

Step-by-step explanation:

please give me brainlest and follow me

Answer:

d

Step-by-step explanation:

D is your answer

hope it's helpful for you

pls mark above guy ans as brainliest

The worth of the washer/dryer combo in 4 years would be $1357.22.

When the value of an asset declines, it is said to be depreciating. This means that the cost of the washer/dryer combo declines with the passage of time.

The formula that can be used to determine the worth of the washer is: FV = P (1 - r)^n

$2600 x (1 - 0.15)^4 = $1357.22

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Hope attachment helps (✿^‿^)

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Answer:

24 units

Step-by-step explanation:

Perimeter of Polygon PQRSTU = sum of all its side lengths = PQ + QR + RS + ST + TU + PU

PQ = |-4 -(-2)| = 2 units

QR = |4 - 2| = 2 units

RS = |-2 - 2| = 4 units

ST = |2 -(-2)| = 4 units

TU = |2 -(-4)| = 6 units

PU = |4 - (-2)| = 6 units

Perimeter of Polygon PQRSTU = 2 + 2 + 4 + 4 + 6 + 6 = 24 units

Answer:

24 units

Step-by-step explanation:

2+2+4+6+2=24

Answer:

Step-by-step explanation:

What is the solution to this equation?

6 * (x - 5) = 4x + 20

6x - 30 = 4x + 20

2x = 20 + 30

2x = 50

x = 50 : 2

x = 25

-------------------

check

6 * ( 25 - 5) = 4 * 25 + 20

6 * 20 = 100 + 20

120 = 120

the answer is good

Answer:

Step-by-step explanation:

6(x-5) 4x+20

Distribute.

6x-30 = 4x+20

Subtract 4x from each side.

6x-4x-30 = 4x-4x+20

Simplify.

2x-30=20

Add 30 to both sides.

2x-30+30 = 20+30

Simplify.

2x = 50

Divide both sides by 2

2x/2 = 50/2

Simplify

x = 25

So, x = 25!

Answer:

1) 0.16 mg of pure heparin is in 80 Howell units

2) the loading dose, in mg of heparin for the 5-year-old boy is 2.618 mg

Step-by-step explanation:

Given that;

if a patient is less than 70 years of age then loading dose is 80 Howell units square per Kg of DM,

One Howell unit is equivalent to 0.0020 mg of pure heparin

1)

how many mg of pure heparin is in 80 Howell units.

that will be;

80 × 0.0020 = 0.16 mg

therefore 0.16 mg of pure heparin is in 80 Howell units

2)    

First we find the dosing mass

so dosing mass = body weight of the 5year old boy × 90%

from the question his total body weight of 40 lbs and  1 kg = 2.20 lbs

so

dosing mass = 40lbs × 1kg/2.20lbs × 90/100

dosing mass(kg) = 16.37 kg

Now to calculate the Loading dose we say;

Loading dose = dosing mass × heparin required per kg

Loading dose = 16.36 kg × 0.16 mg heparin per 1kg

loading dose = 2.618 mg heparin

therefore the loading dose, in mg of heparin for the 5-year-old boy is 2.618 mg

Answer:

its 3.333333333 but short form its just 3.3 as a fraction it would be 3 3/10

Step-by-step explanation:

sry i did this in a comment last time hope it helps

Answer:

The answer us 3.3 Reapeating

Step-by-step explanation:

 0.3333

\(\sqrt[3]{10}\)

-     9    

    10

-     9

      1

Answer:

A and E

Step-by-step explanation:

Plug 5 in for m in every equation, and see if the math works.

A.

\(m-1=4\\5-1=4\\\\\)

A - works

B.

\(m+4=20\\5+4=9\)

B - does not work

C.

\(m-3=8\\5-3=2\)

C - does not work

D.

\(22+m=25\\22+5=27\)

D - does not work

E.

\(12=m+7\\12=5+7\)

E - works

Answer:

A and E just to make it quick hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let:

Aj = Jan's garden

Ab = Bob's garden

where:

The difference between the areas is:

It is:

Larger

The linear function for the given graph is y = x + 20.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:

y = mx + b

From the graph,

The coordinates of the given graph are (0,20) and (20,40)

Then, slope (m) = (40-20)/(20-0) = 20/20 = 1

and y-intercept (b) = 20

So, the equation will be y = 1x + 20

Hence, the linear function for the given graph is y = x + 20.

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A Z-test is any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution and he value of the test statistic for your Z-test is 3.1111

Given :

You are a writer for the school newspaper and are suspicious of the claim. To test it, you decide to perform a hypothesis test. To do so, you choose a random sample of 160 students who visited the site looking for a roommate. Of the students surveyed, 48 said they found a match their first time using the site.

we know that ,

z = x - μ / σ

= 160 - 48 / 36

= 112 / 36

= 3.1111

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Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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The fraction of the money the youngest boy does get is 5x/22.

Given that, three brothers share some money. The oldest 5/11 of the money.

Let the total money be x.

Share of oldest boy = 5/11 ×x

= 5x/11

Remainder = x-5x/11

Remainder = 6x/11

The next boy gets 7/12 of the remainder.

Share of next boy = 7/12 × 6x/11

= 7x/22

Share of youngest boy = 6x/11 - 7x/22

= (12x-7x)/22

= 5x/22

Therefore, the fraction of the money the youngest boy does get is 5x/22.

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Answer:

C. 23

Step-by-step explanation:

Add then divide by 7

Answer:

Jaime foxcgvxccvyyvytctvtvffddrgfgqvrctcrgctgtgtgygyg goku is the site

Answers:

A. Independent = Year

Dependent = Temperature

B. Temp = 0.6733(Year) - 1293.61

Explanation:

The independent variable is the variable that is not affected by the other, in this case, no matter the temperature, the year is given, so the independent variable is the year and the dependent variable is the highest temperature because it changes depending on the year.

Then, to identify the equation of the line of best fit, we will use the following:

First, we need to calculate the mean of both variables, so:

Then, we need to fill the following table:

Now, the slope of the line can be calculated as the sum of the values in the row (Year - Mean Year) x (Temp - Mean Temp) divided by the sum of the row (Year - Mean Year)^2. So, the slope of the line is:

Finally, the y-intercept can be calculated as:

So, the equation of the line that best fits the data table is:

Answer:

due

Step-by-step explanation:

A=6 × + 10=88555%__/455

The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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The word that best describes line segment ID in the image given showing a circle is: a chord.

A chord can simply be described as a line segment in a circle that connects two points on the circumference of a circle to each other.

The largest chord in a circle is a the diameter. A circle can have as many chords as possible.

Considering the image given above, ID is a line segment which connects points I and D which are on the circumference of the circle together. Therefore, ID can best be described as a chord.

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