In the decimal number 5.078, the digit in the hundredths place is a 7.


True False

Let x be the number equal to 0.124₅, so that

x = 1•5⁻¹ + 2•5⁻² + 4•5⁻³

Multiply x by 5³ to convert it to a whole number:

5³x = 1•5² + 2•5¹ + 4•5⁰

Convert everything to base 2:

5³ = 125 = 64 + 32 + 16 + 8 + 4 + 1 = 1111101₂

1•5² + 2•5¹ + 4•5⁰ = 25 + 10 + 4 = 39 = 32 + 4 + 1 = 100111₂

Then

1111101₂ x = 100111₂

so that

x = 100111₂ / 1111101₂

I've carried out the first several steps in the division in the attached table, with more bits added to the result. The number in base 2 does not terminate. You end up with approximately

0.010011111101111100111...₂

Answer:

192.50

Step-by-step explanation:

500-340.50 = 192.50

159.5

Step-by-step explanation:

take 340.50 away from 500, you will have 159.50 left

Merry Late Christmas and Happy early New Years !!! Hope you stay safe and healthy during these times :))

Answer:

thats only 25

Step-by-step explanation:

Answer:

4 customers

Step-by-step explanation:

Given that:

Mean Arrival rate (λ) = 4 cars per hour

Service rate (u) = 5 cars per hour

Using the queuing formula :

The average number of cars in the system can be obtained using the relation :

Number of customers in the system (L)

Number of customers in queue = (Lq)

L = Lq + (λ/u)

Lq = λ^2 / u(u - λ)

Hence,

Lq = 4^2 / 5(5 - 4)

Lq = 16/ 5(1)

Lq = 16/ 5

Lq = 3.2

L = 3.2 + (4/5)

L = 3.2 + 0.8

L = 4

Answer:

need a thanks

Step-by-step explanation:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A = 1 2 b h is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

The total surface area of the triangular prism is 240 m².

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The total surface area of a triangular prism.

= Perimeter x length + base x height

= (6 + 6 + 8) x 10 + 8 x 5

= 20 x 10 + 40

= 200 + 40

= 240 m²

Thus,

The total surface area is 240 m².

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ2

Answer:

C: a < θ < 90%

Step-by-step explanation:

Answer:

there is no problem

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiply/Divide (from left to right)

Add/Subtract (from left to right)

Complete Question:

To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?

Answer:

Multiply by [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex]

Required

To rationalize

To do this, we simply multiply the expression by the fraction of [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

This gives:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}} * \frac{\sqrt{11}}{\sqrt{11}}[/tex]

[tex]\frac{2\sqrt{10 * 11}}{3\sqrt{11 * 11}}[/tex]

[tex]\frac{2\sqrt{110}}{3\sqrt{121}}[/tex]

Express [tex]\sqrt{121[/tex] as 11

[tex]\frac{2\sqrt{110}}{3*11}[/tex]

[tex]\frac{2\sqrt{110}}{33}[/tex]

Hence:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex] = [tex]\frac{2\sqrt{110}}{33}[/tex]

Answer:

It's C! 75%

Step-by-step explanation:

Answer: 75%

Step-by-step explanation:

Just form the simple equation of 14/8=x/100

cross mulitply: 8x=1400

=> x=175

175-100(super important step)=75

75%

:) Tada your answer. Have a nice day

Answer:

gₙ = gₙ₋₁ + 0.4, with g₁ = 6.4

Step-by-step explanation:

The n-th term of an arithmetic sequence can be written as:

gₙ = g₁ + (n - 1)*d

Where g₁ is the first value, and d is the difference between any two consecutive terms of this sequence.

Then we have the equations:

g₅ = 8 = g₁ + (5 -1)*d

g₁₀ = 10 = g₁ + (10 - 1)*d

This is a system of equations, we can rewrite this as:

8 = g₁ + 4*d

10 = g₁ + 9*d

To solve this, the first step will be isolate one of the variables in one of the equations, i will isolate g₁ in the first equation:

g₁ = 8 - 4*d

Now we can replace this in the second equation to get:

10 = 8 - 4*d + 9*d

10 = 8 + 5*d

10 - 8 = 5*d

2 = 5*d

2/5 = d = 0.4

Now with this, we can find the value of g₁ by using the equation:

g1 = 8 - 4*d = 8 - 4*(2/5) = 8 - 8/5 = 6.4

Then the nth term of this sequence can be written as:

gₙ = 6.4 + (n - 1)*0.4

This relation also can be written as:

gₙ = gₙ₋₁ + d = gₙ₋₁ + 0.4, with g₁ = 6.4

Then the correct option is the second option.

Finding x:

We know that the diagonals of a rhombus bisect its angles

So, since US is a diagonal of the given rhombus:

∠RUS = ∠TUS

10x - 23 = 3x + 19                      [replacing the given values of the angles]

7x - 23 = 19                                [subtracting 3x from both sides]

7x = 42                                       [adding 23 on both sides]

x = 6                                           [dividing both sides by 7]

Finding ∠RUT:

We can see that:

∠RUT = ∠RUS + ∠TUS

Since we are given the values of ∠RUS and ∠TUS:

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

We know that x = 6:

∠RUT = 13(6)-  4

∠RUT = 74°

Answer:

Xavier, Yeoman, and Zenger

Step-by-step explanation:

He spoke to them multiple times during the given time period while he only spoke to Osborn once.

Answer:

-1/7

Step-by-step explanation:

The inverse of 7 is simply the opposite

Answer:

Step-by-step explanation:

Let x represent the number of seventh graders in the choir:

48=x/2

x=96

Answer:

88

Step-by-step explanation:

Mean of five test = 85

Sum of five tests = 85*5 = 425

Mean of first three test =83

Sum of first three test = 83 * 3 = 249

Sum of 4th and 5th test scores = 425 - 249

                                                   = 176

Mean of his 4th and 5th test = 176/2 = 88

                                                       Answer

[tex]--------------------------------------------[/tex]

[tex]\frac{5}{6}-\frac{4}{6}[/tex] = [tex]\frac{1}{6}[/tex]

[tex]0.8333333333[/tex] - [tex]0.6666666667[/tex] = [tex]0.1666666666[/tex]

[tex]\frac{1}{6}[/tex] = [tex]0.1666666666[/tex]

[tex]It's[/tex]  [tex]\frac{1}{6}[/tex] [tex]because[/tex] [tex]5-4[/tex] = [tex]1[/tex]

[tex]and[/tex] [tex]the[/tex] [tex]denominator[/tex] [tex]is[/tex] [tex]the[/tex] [tex]same.[/tex]

[tex]So[/tex], [tex]it's[/tex]  [tex]\frac{1}{6}[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

The food will last for 20 days

Step-by-step explanation:

The equation of the inverse proportional is xy = k, where k is the constant of variation

∵ In a hostel of 40 students, there is food for 30 days

→ That means the food is the constant k and the number of days y

   varies inversely with the number of students x

∴ x = 40 and y = 30

∵ xy = k

∴ 40 × 30 = k

∴ 1200 = k

∴ The equation of the inverse proportional is xy = 1200

∵ 20 more students join the hostel

→ That means the number of students increased by 20

∴ The number of students in the hostel = 40 + 20

∴ The number of students in the hostel = 60

→ By using the equation above

∵ 60 × y = 1200

∴ 60y = 1200

→ Divide both sides by 60

∴ y = 20

∴ The food will last for 20 days

Answer:

Yes because AB ⊥ BC

Step-by-step explanation:

Answer: Yes because AB ⊥ BC

Step-by-step explanation: Khan Academy

Answer:

135

Step-by-step explanation:

Supplementary means both angles equal 180 degrees when combined

180 - 45 = 135

Complementary means both equal 9 degrees when combined

if u think connect the lines of S and it makes and 8 for 180 and C makes 9 for 90

The measurement of the angle B should be considered as the 135 when the Angle A is given.

Since

Angle A and B are supplementary angles.

Angle A measures 45 degrees.

So we know that the sum of the supplementary angles is sum upto 180 degrees

So, it can be like

A + B = 180

45 + B = 180

B = 180 - 45

= 135 degrees

hence, The measurement of the angle B should be considered as the 135.

Learn more about an angle here: https://brainly.com/question/16616666

Answer:

Graph (6, 5) and (-6, -3), and then use a ruler (optional), and draw a line between them, and a little after the points.

Step-by-step explanation:

y = 2/3x + 1

Substitute different numbers for x, and find y:

You don't really want to work with fractions, so try to find a number that when multiplied by 2/3, gives you a whole number

x = 6

y = 2/3(6) + 1

y = 12/3 + 1

y = 4 + 1

y = 5

Point: (6, 5)

x = -6

y = 2/3(-6) + 1

y = -12/3 + 1

y = -4 + 1

y = -3

Point: (-6, -3)

Graph these two points, and then use a ruler (optional), and draw a line between them, and a little after the points.

Answer:

x axis - (18,0)

y axis - (0,12)

quadrant I - (4.5, 10.6)

quadrant II -(-15,21)

quadrant III - (-3/4, -4 1/9)

quadrant IV - (0,-7)

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

edge 2021

Answer:

Option A and E are the correct answers.

Answer:

744 cookies

Step-by-step explanation:

PLZ MARK BRAINLIEST ON THE TOP RIGHT CLICK THE CROWN.

Answer: y=x+4

Step-by-step explanation:

if you need to find the y

we divide the equation by 4

x-y=-4

add y on both sides

y=x+4

Answer:

SAS postulate.. is the answer