Which expression is equal to 5 6 (6 is an exponent).

6x5

36x6x6x6

25x5x5x5

125x125

The correct answer is A.To determine which line is orthogonal to the plane, we need to find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The normal vector of the plane 2x + 4y - 2z = 10 is [2, 4, -2].

Calculating the dot product of this normal vector with the direction vectors of the given lines, we find:

A. [2, 4, -2] ⋅ [-1, 0, 1] = 0 (orthogonal)
B. [2, 4, -2] ⋅ [1, 1, 1] = 4 (not orthogonal)
C. [2, 4, -2] ⋅ [2, 1, 0] = 4 (not orthogonal)
D. [2, 4, -2] ⋅ [-1, 1, 1] = 0 (orthogonal)

Based on the dot products, options A and D have direction vectors that are orthogonal to the plane. Therefore, the lines described by options A and D are orto to the plane. The correct answer is A.

 To learn more about vector click here:brainly.com/question/30958460

#SPJ11

the algae that is present with the scientist to research upon covers a surface area of 2004 inches² in the rectangular prism.

The dimensions of the rectangular prism is given by:

Height = h = 18 inches

Width = w = 14 inches

Length = l = 30 inches

Now, we have to calculate the surface area of the tank excluding the top of the tank to find out how much algae has been present there for the scientist to test.

So, the formula for surface area will become:

A = 2(w l + h l + h w) - l w ( as the top has to be excluded)

Now substituting the values of l, w and h, we get that:

A = 2 [ (14) (30) + (18) (30) + (18) (14) ] - (30) (14) inches²

A = 2 [ 420 + 540 + 252 ] - 420 inches²

A = 2 [ 1212 ] - 420 inches²

A = 2424 - 420 inches²

A = 2004 inches²

Therefore, we get that, the algae that is present with the scientist to research upon covers a surface area of 2004 inches² in the rectangular prism.

Learn more about rectangular prism here:

https://brainly.com/question/24284033

#SPJ9

Answer:

true

Step-by-step explanation:

4(1) - 1 = 3

2(1) + 7 = 9

9 is greater than 3.

The utilization rate is a value between 0 and 1 or expressed as a percentage between 0% and 100%. In this case, the utilization rate is approximately 0.8085 or 80.85%.

The utilization rate of a system measures the extent to which resources are being used effectively and efficiently. In the context of the given scenario, the utilization rate represents the ratio of the average arrival rate of parts to the average processing rate of the machine.

In this case, the arrival rate is 76 parts per hour, which means on average, 76 parts arrive at the machine for processing every hour. The processing rate of the machine is 94 parts per hour, indicating that the machine can process 94 parts on average within an hour.

To calculate the utilization rate, we divide the arrival rate by the processing rate:

Utilization Rate = Arrival Rate / Processing Rate

Utilization Rate = 76 / 94

                         = 0.8085

The utilization rate is a value between 0 and 1 or expressed as a percentage between 0% and 100%. In this case, the utilization rate is approximately 0.8085 or 80.85%.

A utilization rate of 0.8085 indicates that the machine is operating at about 80.85% of its maximum capacity. This means that on average, the machine is effectively utilizing 80.85% of its available time for processing parts.

A higher utilization rate implies that the machine is busier and experiencing a higher workload, while a lower utilization rate suggests that the machine is underutilized and has spare capacity.

Learn more about Utilization Rate at

brainly.com/question/31415228

#SPJ4

The solution is, x= StartFraction t Over 4 + 2 EndFraction, is equivalent to 4 x = t + 2.

An equation can be stated  a  mathematical statement that is made up of two expressions connected by an equal sign.  In its normal form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

4 x = t + 2

or, x = (t + 2) /4

or, x = t/4 + 2/4

or, x = t/4 + 2

Hence, The solution is, x= StartFraction t Over 4 + 2 EndFraction, is equivalent to 4 x = t + 2.

To learn more on equation click:

https://brainly.com/question/24372416

#SPJ9

i think it should be answer B

I believe its also b after working it out for around 20 minutes i have to come to the conclusion that its B this can be APPROVED by the nation math's government department

Answer:

C

Step-by-step explanation:

(4/3)/(2/5) =(1/x)

(4/3x) = 2/5

x = (2/5)(3/4)

x= 6/20 or 3/10

On solving the linear equations - 9x - 3y = -21 and 9x + 9y = -9 the value of x is x = 4 and y is y = -5.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The linear equations are -

- 9x - 3y = -21 .... (1)

9x + 9y = -9 .... (2)

Add the equations (1) and (2) -

- 9x - 3y + 9x + 9y = -21 - 9

6y = -30

y = -5

Substitute the value of y in equation (1) -

- 9x - 3(-5) = -21

- 9x + 15 = -21

- 9x = -36

-x = -4

x = 4

Therefore, the values of x and y is 4 and -5.

To learn more about equation from the given link

https://brainly.com/question/28871326

#SPJ1

Since 11 is a prime number, the Galois group will be cyclic, and in this case, it is isomorphic to the group of integers modulo 11 under addition, which can be denoted as Z/11Z. The extension E/Q is a Galois extension of degree 11, as required.

To find a Galois extension E/Q of degree 11, we can consider the cyclotomic field Q(ζ11), where ζ11 is a primitive 11th root of unity. This field has degree 10 over Q, but we can extend it to degree 11 by adjoining any element α in Q(ζ11) that is not in Q.

For example, we can choose α = ζ11 + 1, which is clearly not in Q since ζ11 is not a real number. Then E = Q(α) is a Galois extension of Q with degree 11, since the minimal polynomial of α over Q is x^11 - (ζ11 + 1)^11, which is irreducible and has degree 11.

Furthermore, E is a Galois extension since it is the splitting field of x^11 - (ζ11 + 1)^11 over Q, and this polynomial is separable (its derivative is 11x^10, which has no repeated roots). Therefore, E/Q is a Galois extension of degree 11.
A Galois extension E/Q of degree 11 can be constructed by considering the splitting field of an irreducible polynomial of degree 11 over Q. Let f(x) be an irreducible polynomial of degree 11 with rational coefficients. Then, the splitting field E of f(x) over Q will be a Galois extension with Galois group Gal(E/Q) of order 11.

To learn more about polynomial visit;

brainly.com/question/11536910

#SPJ11

In August 2016, the Compounding Department had 6,000 equivalent units for the beginning work in process and 102,000 equivalent units for the units started. The total equivalent units were 108,000.


To calculate the equivalent units, we consider the work in process at the beginning and the units started during the period. The beginning work in process was 6,000 pounds at 60% processed, which gives us 6,000 x 0.60 = 3,600 equivalent units. The units started were 102,000 pounds, which are considered 100% processed, resulting in 102,000 equivalent units.

Adding the equivalent units from the beginning work in process and the units started, we get a total of 3,600 + 102,000 = 105,600 equivalent units. However, since the ending work in process was 90% processed, we need to multiply it by 0.90 to calculate the additional equivalent units. This gives us 96,000 x 0.90 = 86,400 equivalent units. Finally, we add the additional equivalent units to the total, resulting in 105,600 + 86,400 = 192,000 equivalent units for the Compounding Department in August 2016.

Learn more about Work done here: brainly.com/question/31428590
#SPJ11

The measure of the angles are;

X = 38 degrees

Y = 52 degrees

To determine the angles, we need to know the properties of a kite.

These properties includes;

Then, we can say that;

Y= 52 degrees

Note that the sum of the angles in a triangle is 180

Then, we get;

X + Y+ 90 = 180

X = 180 - 142

Subtract the values

X = 38 degrees

Learn more about kites at: https://brainly.com/question/20597161

#SPJ1

Answer:

i am going to help you to understand this problem. if it is written with 10 0s it will be the billion place. because of the ten ones it will be 0,000,010, and because of the ten two's, which is 20, it will be 0,000,030. and when i searched up on google, and watched an episode of number blocks, no, 30 is not a square number OR a cube number.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

first time they spent 11

2nd time was 1 dollar less

since 1 burrito is 2 dollars 3 is 6

and the 4 tacost were 4 dollars

I might be wrong

Answer:

1,081

\(f( - 4) = 9( - 4 - 7) {}^{2} - 8 \\ f( - 4) = 9( - 11 {)}^{2} - 8 \\ f( - 4) = 1081\)

Answer:

Step-by-step explanation:

Abc and fbe

Answer:

-4y+10

Step-by-step explanation:

To simplify 2(y+5) - 6y

First, distribute:

2y+10-6y

Combine like terms:

-4y+10

Hope this helps!

Answer:

17.5 cubic feet

1163.75 pounds

Step-by-step explanation:

Givens

L = 3.5                                    Given

W = 5/7  *  3.5                        Divide by 7

W = 5 * 0.5                             Combine

W = 2.5

H = 4/5 * w

H = 4/5 * 2.5

H = 4 * 0.5

H = 2

Volume

V = L * w * h

V = 3.5 * 2.5 * 2

V = 17.5

Weight

1  Cubic foot Milk = 66.5 pounds

17.5 cubic feet milk = x

1 / 17.5 = 66.5/ x

x = 17.5 * 66.5

x = 1164.75

Answer:

1163.75lbs

Step-by-step explanation:

Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

Answer:

the angle is 136*

Step-by-step explanation: hope this heled pls mark braineist

Answer:

Look up metric system prefixes

Step-by-step explanation:

mm- Prefix milli, Unit meter

kg- Prefix kilo, Unit gram

hs - Prefix hecto, Unit second

cm - Prefix centi, Unit meter

mL - Prefix milli, Unit liter

g - Prefix none, Unit gram

um - Prefix micro, Unit meter

KJ - Prefix kilo, Unit joule

L - Prefix none, Unit liter

hm - Prefix hecto, Unit meter

dL - Prefix deci, Unit liter

To find the average value of a function from a graph, you can follow these steps:

For more questions on Graphs

https://brainly.com/question/25184007

#SPJ4

Answer:

15 days

Step-by-step explanation:

Don't you mean 1/3?  If so,

 5 cans

-------------------- = 15 days

1/3 can/daily

Answer: 7.44285714 to be exact but its is around 7.44

Step-by-step explanation:

The present age of Kevin is 6 years.

Using the provided data, we can create two equations that specify the ages of Kevin and Daniel.

Let Kevin's present age be k and Daniel's present age be d.

As per the data given:

Kevin is 3 years older than Daniel. This can be written as:

k = d + 3

Two years ago, Kevin was 4 times as old as Daniel

Two years ago, Kevin was k - 2 years old, and Daniel was d - 2 years old.

k - 2 = 4(d - 2)

Now we have two independent equations, and we can solve for our two unknowns.

Solving our first equation for d.
We get:

d = k - 3

Substituting this into our second equation, we get the equation:

k - 2 = 4((k - 3) -2)

k - 2 = 4k - 12 - 8

k - 2 = 4k - 20

4k - k = 20 - 2

3k = 18

k = 6

Therefore the answer is 6 years.

For more questions on problems of ages

https://brainly.com/question/22198715

#SPJ4

Answer:

the sampling distribution of proportions

A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions

Step-by-step explanation:

Hope this helps:)

Step-by-step explanation:

option d is correct

as,

corresponding angles are = 1 & 5 , 2 & 6 , 3 & 7 and 4 & 8

alternate interior angle are 3 & 6 and 4 & 5

alternate Exterior angles are 2 & 7 and 1 & 8

hope this answer helps you dear...may u have a great day ahead..take care!

The response we have is as follows to the query that was asked equation "Y varies directly as x and inversely as the square of z" can be translated as y = kx

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=).

If y varies directly as x and y = 24 when x = 6, we can use the formula for direct variation:

y = kx

where k is the variation constant. To find k, we can substitute the given values:

24 = k(6)

k = 4

So the equation of variation is y = 4x.

If x varies directly as y and x = 35 when y = 7, we can again use the formula for direct variation:

x = ky

To find k, we can substitute the given values:

35 = k(7)

k = 5

So the equation of variation is x = 5y. To find the value of y when x = 25, we can substitute x = 25 into the equation and solve for y:

25 = 5y

y = 5

If y varies inversely as x and y = 6 when x = 18, we can use the formula for inverse variation:

y = k/x

To find k, we can substitute the given values:

6 = k/18

k = 108

So the equation of variation is y = 108/x.

If y varies inversely as x and y = 10 when x = 2, we can again use the formula for inverse variation:

y = k/x

To find k, we can substitute the given values:

10 = k/2

k = 20

So the equation of variation is y = 20/x. To find y when x = 10, we can substitute x = 10 into the equation and solve for y:

y = 20/10

y = 2

If a varies jointly as b and c, and a = 36 when b = 3 and c = 4, we can use the formula for joint variation:

a = kbc

To find k, we can substitute the given values:

36 = k(3)(4)

k = 3

So the equation of variation is a = 3bc.

If z varies jointly as x and y, and z = 16 when x = 4 and y = 6, we can use the formula for joint variation:

z = kxy

To find k, we can substitute the given values:

16 = k(4)(6)

k = 2/3

So the equation of variation is z = (2/3)xy.

If z varies jointly as x and y and z = 60 when x = 5 and y = 6, we can use the formula for joint variation:

z = kxy

To find k, we can substitute the given values:

60 = k(5)(6)

k = 2

So the equation of variation is z = 2xy.

To find z when x = 7 and y = 6, we can substitute the given values into the equation we found in problem 7:

z = 2(7)(6)

z = 84

"y varies directly as x" can be translated as y = kx

"z varies inversely as the square of w" can be translated as z = k/w^2

"a varies jointly as b and c" can be translated as a = kbc

"Y varies directly as x and inversely as the square of z" can be translated as y = kx

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

the correct question is -

1. If y varies directly as x and y = 24 when x = 6, find the variation constant and the equation of variation.

2. If x varies directly s y and x = 35 when y = 7, what is the value of y when x = 25?

3. Find the equation and solve for k: y varies inversely as x and y = 6 when x = 18.

4. If y varies inversely as x and y = 10 when x = 2, find y when x = 10.

5. Find the equation of variation where a varies jointly as b and c, and a = 36 when b = 3 and c = 4.

6. z varies jointly as x and y. If z = 16 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

Solve for the value of constant of variation k.

7. z varies jointly as x and y and z = 60 when x = 5 and y = 6.

8. Find z when x = 7 and y = 6

9. Translate into mathematical equations using k as the constant of variation.

10. Y varies directly as x and inversely as the square of z.

11. If z varies directly as x and inversely as y, and z = 9 when x = 6 and y = 2, find z when x = 8 and y = 12.

Answer:

(a) P(exactly 3 heads) = P(X = 3) = (3!/3^3)(1/4)^3 = 0.21875

(b) P(exactly 2 heads) = P(X = 2) = (2!/2^2)(1/4)^2 = 0.375

(c) P(2 or more heads) = P(X ≥ 2) = 1 - P(X ≤ 1) = 1 - (1!/1^1)(1/4) - (0!/0^0)(1/4)^0 = 0.9375

(d) P(exactly 3 tails) = P(X = 3) = (3!/3^3)(1/4)^3 = 0.21875