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2 years ago

Write an equation of the line passing through point P(0, 0) that is perpendicular to the line y = −9x−1 .

1 answer:

7 0

A line perpendicular to another line has to have the negative reciprocal of the other's slope, so any equation with the slope 1/9 is perpendicular to that line.

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The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression repr

mrs_skeptik [129]

Given:

Let x represents the radius of the cylinder.

Given that the height of the cylinder is twice the radius of its base.

The height of the cylinder is 2x.

We need to determine the volume of the cylinder.

Volume of the cylinder:

The volume of the cylinder can be determined using the formula,

$V=\pi r^2h$

Substituting r = x and h = 2x, we get;

$V=\pi (x)^2(2x)$

Simplifying, we get;

$V=\pi x^2(2x)$

$V=2\pi x^3$

Thus, the expression that represents the volume of the cylinder is 2πx³ cubic units.

Hence, Option b is the correct answer.

8 0

2 years ago

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A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negat

il63 [147K]

Answer:

{x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

The domain is the list of first-values of the ordered pairs:

{x | x = –5, –3, 1, 2, 6}

7 0

2 years ago

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On Sunday Sheldon bought 3 and 1/2kg of plant food. He used 1 and 2/3kg on his strawberry plants and used 1/4kg for his tomato p

notsponge [240]

The remaining plant food is: 1 7/12 kg

Step-by-step explanation:

Given

Total Plant food = 3 1/2 kg

Plant food used on Strawberry Plants = 1 2/3 kg

Plant food used on tomato Plants = 1/4 kg

We will first calculate the total food plant used and then subtract the used plant food from the total plant food.

So,

$Total\ Plant\ Food\ used=1\frac{2}{3}+\frac{1}{4}\\=\frac{5}{3}+\frac{1}{4}\\=\frac{20+3}{12}\\=\frac{23}{12}$

Now,

$Left\ Food\ Plant=3\frac{1}{2}-\frac{23}{12}\\=\frac{7}{2}-\frac{23}{12}\\=\frac{42-23}{12}\\=\frac{19}{12}\\=1\frac{7}{12}$

The remaining plant food is: 1 7/12 kg

Keywords: Division, Fractions

Learn more about fractions at:

#LearnwithBrainly

7 0

2 years ago

Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households i

kap26 [50]

Answer:

The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34 45 to 54

1329 2268

1906 1965

2426 1149

1826 1591

1239 1682

1514 1851

1937 1367

1454 2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01$

Compute the z-score for the group "25 to 34" as follows:

$z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37$

Compute the mean and standard deviation for the group "45 to 54" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39$

Compute the z-score for the group "45 to 54" as follows:

$z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25$

Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

8 0

2 years ago

Graph f(x)=−0.5x+3. Use the line tool and select two points to graph the line.

NikAS [45]

Answer: These are some points of the grahp:

(-2,4)

(0, 3)

(2, 2)

Explanation:

1) f(x) = -0.5x + 3, is the equation of the form y = mx + b

2) y = mx + b is slope-intercept equation of a line where the slope is m and the y-intercept is b, so, f(x) = - 0.5x + b has slope m = -0.5 and y-intercept b = 3.

3) To graph f(x) = -0.5x + 3, follow these steps:

draw two perpedicular axis: vertical axis, labeled y, and horizontal axis, labeled x.
draw marks on each axis, each mark equivalent to one unit.
the intersection point of the vertical and horizontal axis is the origin, i.e. point (0,0).
you can make a table with two or more points:

x f(x) = - 0.5x + 3

-2 4

0 3

2 2

4 1

6 0

4) You can see the graph in the figure attached, and select any of the points on the line either by using the table or by using the equation f(x) = -0.5x + 3.

8 0

2 years ago

Read 2 more answers