Find the volume of the cylinder.

This symbol "\(\phi =\{u : u\neq u\}\)" given in set statement means that the set is empty and has no element in it.

\(\phi =\{u : u\neq u\}\) is a set notation that represents the empty set. In set theory, the empty set, denoted by the symbol \(\phi\) or {}.

An empty set is defined as a set that does not contain any elements and it is just empty or null.

For this question,  \(\phi =\{u : u\neq u\}\), the set is defined using a condition or property.

The condition given is u ≠ u, which is always false for any element. So we can say that it implies that there is no element that satisfies the condition u ≠ u, meaning there are no elements in the set. Hence, the set is empty.

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Answer:

160

Step-by-step explanation:

It would be 160 because 80 times 2 would be 160 and 160 dived by 80 equals 2. Hope this helps :3

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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Answer:

slope = \(\frac{5}{9}\) , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

5x - 9y = 45 ( subtract 5x from both sides )

- 9y = - 5x + 45 ( divide through by - 9 )

y = \(\frac{-5}{-9}\) x + \(\frac{45}{-9}\) , that is

y = \(\frac{5}{9}\) x - 5 ← in slope- intercept form

with slope m = \(\frac{5}{9}\) and y- intercept c = - 5

The value of c using sine rule is 56.2 cm ( nearest tenth)

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

Sine rule is used to find unknown angle and unknown sides when the corresponding angle and sides of the other part are given

The corresponding line to angle 28° is 27cm and the corresponding line to angle 102° is c. therefore

c/sin102 = 27/sin28

27×sin102 = c× sin28

26.4 = 0.47c

divide both sides by 0.47

c = 26.4/0.47

c = 56.2cm

therefore the magnitude of c using sine rule is 56.2 cm( nearest tenth)

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Answer:

\(z=\frac{0.467 -0.4}{\sqrt{\frac{0.4(1-0.4)}{150}}}=1.675\)  

Now we can calculate th p value using the alternative hypothesis with the following probability:

\(p_v =2*P(z>1.675)=0.0939\)  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of Type A donations  is not significantly different from 0.4 or 40% at 5% of significance.

Step-by-step explanation:

Information given

n=150 represent the random sample taken

X=70 represent the samples with Type A blood

\(\hat p=\frac{70}{150}=0.467\) estimated proportion of samples with Type A blood

\(p_o=0.4\) is the value to verify

\(\alpha=0.05\) represent the significance level

zwould represent the statistic

\(p_v\) represent the p value

System of hypothesis

We want to verify if the actual percentage of Type A donations differs from 40%, then the system of hypothesis are:  

Null hypothesis:\(p=0.4\)  

Alternative hypothesis:\(p \neq 0.4\)  

The statistic is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{0.467 -0.4}{\sqrt{\frac{0.4(1-0.4)}{150}}}=1.675\)  

Now we can calculate th p value using the alternative hypothesis with the following probability:

\(p_v =2*P(z>1.675)=0.0939\)  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of Type A donations  is not significantly different from 0.4 or 40% at 5% of significance.

Answer:

0.23

Step-by-step explanation:

\(\begin{matrix}\:\:\:\:\:\:\emptyspace0.\:\:\:\:\:\:\:\:\:\:\:\\ 10\overline{|\smallspace2.3}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace2\emptyspace3\:\:\:\:\:\:\:\:\:\:\end{matrix}\)

\(\begin{matrix}\:\:\:\:\:\:\emptyspace0.\emptyspace2\:\:\:\:\:\:\:\:\:\\ 10\overline{|\smallspace2.30}\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace2\emptyspace3\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace0}\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace3\emptyspace0\:\:\:\:\:\:\:\:\end{matrix}\\\\\)

\(\begin{matrix}\:\:\:\:\:\:\emptyspace0.\emptyspace2\emptyspace3\:\:\:\:\:\:\:\\ 10\overline{|\smallspace2.30}\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace2\emptyspace3\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace0}\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace3\emptyspace0\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace0}\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\end{matrix}\)

and your answer is 0.23

hope this helps

Answer:

y = 0.30x + 0.70

Step-by-step explanation:

Assuming that the options are

A.

y = 1.90x + 0.40

B.

y=0.30x +0.70

C.

y= 0.90x + 0.30

D.

y= 1.30x + 1.70

(these might be in a random order for different people)

the answer would be B. y=0.30x +0.70

to find the mid point,

m=-2+1/2,-5+3/2

=-1/2,-1

Dimes are 0.10 each

Pennies are 0.01 each

You need 4 pennies to get the 0.04

Then you would have 3 dimes .

3 x 0.10 = 0.30

4 x 0.01 = 0.04

0.30 + 0.04 = 0.34

The sum of the measures of the interior angles of a nonagon is 1260 degrees

The measure of each interior angle of a regular octagon is 135 degrees

A nonagon is a polygon with nine sides, and the formula to calculate the sum of the measures of the interior angles of a polygon with n sides is:

Sum of interior angles = (n-2) x 180 degrees

Therefore, the sum of the measures of the interior angles of a nonagon is:

Sum of interior angles = (9-2) x 180 degrees = 1260 degrees

An octagon is a polygon with eight sides, and the formula to calculate the measure of each interior angle of a regular polygon with n sides is:

Measure of each interior angle = (n-2) x 180 degrees / n

Therefore, the measure of each interior angle of a regular octagon is:

Measure of each interior angle = (8-2) x 180 degrees / 8 = 135 degrees

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Answer:

The answer is D

Step-by-step explanation:

The lateral surface area of a rectangular prism is 2(l + w)h sq units.

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces).

The lateral surface area of a rectangular prism is given by

Where l, w, and h are the length, width, and height, respectively. To find the lateral surface area, we need the values of l, w, and h.

Without these values, it is not possible to determine the lateral surface area of the rectangular prism.

Therefore, the lateral surface area of a rectangular prism is 2(l + w)h sq units.

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Answer:

2500

Step-by-step explanation:

The perimeter is given by the formula :

P = 4L  (L is length)

We rearrange the equation to get L as the subject:

L = P÷4

L = 200÷4

L = 50

The area of a square is given by the formula :

A = L²

A = 50²

A = 2500

Answer:

A Hermitian matrix is a matrix that is equal to its conjugate transpose. This generalizes the concept of a "symmetric matrix", since every real symmetric matrix is Hermitian.

Answer:

A) 150%

B) 20.67 J

Step-by-step explanation:

A) To determine the efficiency of the engine, we can use the formula:

efficiency = (work output / heat input) x 100%

In this case, the engine does 62 J of work each cycle, so the work output is 62 J. We're also given that the engine absorbs 2 times as much heat as it discharges to the environment, so we can express the heat input as 2 times the heat discharged:

heat input = 2 x heat discharged

Therefore, we can rewrite the efficiency formula as:

efficiency = (62 J / (2 x heat discharged)) x 100%

Simplifying this expression, we get:

efficiency = 31 J / heat discharged

Now we need to determine the value of heat discharged. We know that the engine absorbs 2 times as much heat as it discharges, so the net heat input is 3 times the heat discharged:

net heat input = heat input - heat discharged = 2 x heat discharged - heat discharged = heat discharged

Therefore, we can express the net heat input as:

net heat input = 3 x heat discharged

Now we can use the first law of thermodynamics, which states that the net heat input is equal to the work output plus the heat discharged:

net heat input = work output + heat discharged

Substituting the given values, we get:

3 x heat discharged = 62 J + heat discharged

Solving for heat discharged, we get:

heat discharged = 20.67 J

Now we can calculate the efficiency:

efficiency = 31 J / 20.67 J = 1.50 or 150%

Therefore, the efficiency of the engine is 150%.

B) To determine the quantity of heat discharged to the environment each cycle in Joules, we can use the value we calculated above for heat discharged:

heat discharged = 20.67 J

Therefore, the quantity of heat discharged to the environment each cycle is 20.67 J.

Hope this helps!

The missing values are:

t = 11 sec.

D = 40 ft/sec

D = 70 ft/sec.

Given:

t        r        D

4      10      

7      10      

       10       110

Time = divide and Distance = multiply

Finding t:

Time = divide means to find time divide.

Time = D/r

= 110/10

= 11 sec.

Finding D:

Distance = multiply

so D = t*r

= 4*10

= 40 ft.

D = t*r

= 7*10

= 70 ft.

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Answer:

Make the -4 exponent in the denominator positive.

OOOF! I would send a screenshot to my teacher if that happened. Online math sometimes does that. On maths watch I answered correctly but it doesn't accept the answer. Its so annoying

The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

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Step-by-step explanation:

UV is undefined because the number of columns in matrix U (2) is not equal to the number of rows in matrix V (3). In order for matrix multiplication to be defined.

a collection of numbers set up in rows and columns to make a rectangular array is called a matrix. The components, or entries, of the matrix are the numbers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

UV is undefined because the number of columns in matrix U (2) is not equal to the number of rows in matrix V (3). In order for matrix multiplication to be defined, the number of columns in the first matrix must match the number of rows in the second matrix.

To perform the multiplication UV, we would need to reverse the order and multiply VU, which would result in a \($1\times 2$\) matrix:

\($$VU = \left[\begin{array}{ccc}1&1&-1\end{array}\right]\left[\begin{array}{cc}-3&9\\6&-3\end{array}\right] =\left[\begin{array}{cc}-9&6\end{array}\right]$$\)

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Answer:

6-4c

Step-by-step explanation:

2(3-2c)

2×3+2×-2c

6+2×-2c

6-4c

Answer:

-6

Step-by-step explanation:

Answer:

try socratic

Step-by-step explanation:

just try it i guess cause yea man

The measurement that is closest to the volume of the sphere is given as follows:

1,767.1 in³.

The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

\(V = \frac{4\pi r^3}{3}\)

From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:

r = 0.5 x 15

r = 7.5 units.

Then the volume of the sphere is given as follows:

V = 4/3 x π x 7.5³

V = 1,767.1 in³.

The sphere is given by the image presented at the end of the answer.

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Step 1

State the formula for compound interest compounded monthly.

Where

Step 2

Find the amount

Hence the minimum amount Walter will need to make for his car loan is

10 Km²  is the area of the triangular section that the forest managers plant with trees.

A sector is the area between any two circle radii and any arcs that connect them. Segment: A line segment in geometry is a section of a line that has two clearly defined end points and includes every point on the line in between them.

Firstly count how many cells are there

First line = 6

Second line = 1

Last line = 3

So the area of the section that the forest managers plant with tree is

6 + 1 + 3 = 10 Km²

( count more than half a grid or not count )

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Answer:

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so:

\(112=y-9 \longrightarrow y=121\)

and adjacent angles are supplementary, so:

\(112+x+1=112+z+3=180 \longrightarrow x=67, z=65\)

Answer:

See below

Step-by-step explanation:

Distance / rate = time

2  1/10 mi  /  9  9/10 mi/hr

21/10  /  99/10   = 21/99 hr =   12.73 minutes

     ZERO hr  if rounded to nearest integer hr  

   = 13 minutes as nearest integer minutes

      exact is   21/99 hr  = 7/33 hr