What is the value of the underline digit?

14.097

Answer:

  C: real number

Step-by-step explanation:

The set of real numbers includes rational and irrational numbers. It would be difficult (impossible) to draw a number line consisting of only rational numbers or only irrational numbers.* So, the number lines we draw represent all real numbers.

_____

* There are an infinite number of rational numbers between any pair of irrational numbers. Similarly, there are an infinite number of irrational numbers between any pair of rational numbers

Answer:

Total cost of x students tuition = $2,800x

Step-by-step explanation:

Total cost of x students tuition

= Amount of tuition × number of students

Amount of tuition= $2,800

Number of students = x

Total cost of x students tuition

= Amount of tuition × number of students

= $2,800 * x

= $2,800x

Total cost of x students tuition = $2,800x

For example, if there are 2 students in total

Total cost of x students tuition = $2,800x

When x= 2

= $2,800 × 2

= $5,600

Total Cost of students paying tuition of $2,800 each is $5,600

Answer:

The correct option is b.

Step-by-step explanation:

Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the absolute variability of the distribution of values.

The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.

It is provided that the  standard deviation of the distribution of house age is about 16 years.

The standard deviation of 16 years imply that the age for all the houses in the sample is 16 years from the mean.

Thus, the correct option is b.

Answer:

The square root of 4 is 2(not irrational)

The square root of 100 is 10(not irrational

Step-by-step explanation:

Step-by-step explanation:

5x+3x=12+4

8x=16

x=16÷8

x=2

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5x - 4 = - 3x + 12}[/tex]

Move 3x to left hand side and change it's sign

⇒[tex] \sf{5x + 3x - 4 = 12}[/tex]

Move 4 to right hand side and change it's sign

⇒[tex] \sf{5x + 3x = 12 + 4}[/tex]

Collect like terms

⇒[tex] \sf{8x = 12 + 4}[/tex]

Add the numbers

⇒[tex] \sf{8x = 16}[/tex]

Divide both sides of the equation by 8

⇒[tex] \sf{ \frac{8x}{8} = \frac{16}{8} }[/tex]

Calculate

⇒[tex] \sf{x = 2}[/tex]

Hope I helped!

Best regards!!

Answer:

For every 72 eggs, 32 omelets can be made.

Step-by-step explanation:

The ratio for eggs to omelets is 9:4. Or 9/4 in fraction form. (Note that the ratio can be written interchangeable such as 4:9).

The ratio says for every 9 eggs, it makes 4 omelets.

72 can be multiplied by 9. (9*8=72).

If we multiply the "top" and the "bottom" of the ratio by 8/8 (8/8=1. We must multiply this way so the ratio will remain the same when reduced.)

We will get 72:32.

For every 72 eggs, 32 omelets can be made.

Answer:

We use the rule of three !

9 eggs ------------> 4 omoletes

72 eggs -----------> x

So x= (72 eggs × 4 omoletes ) / 9 eggs

We simplify by 《eggs 》 because it is in the numerator and the denominator.

So x=(72×4 omoletes) / 9

x =288 omoletes /9

x = 32 omoletes

So we can made 32 omeletes with 72 eggs !!

Answer:1760

Step-by-step explanation:

Answer:

[tex]y = 7x - 175[/tex]

Step-by-step explanation:

Given

Initial temperature= 25ºC

Rise = 1ºC

Rate  = 7 joules

Required

Determine the equation of the system

Let the final temperature be represented with x and the heat required be represented with y

This question will be solved using the following heat formula

[tex]Heat\ Required = Rate * Change\ in\ Temperature[/tex]

[tex]Heat\ Required = Rate * (Final\ Temperature - Initial\ Temperature)[/tex]

Substitute y for Heat Required; 7 for Rate; x for Final Temperature and 25 for Initial Temperature

[tex]y = 7(x - 25)[/tex]

Open the bracket

[tex]y = 7x - 7 * 25[/tex]

[tex]y = 7x - 175[/tex]

Hence, the equation of the system is

[tex]y = 7x - 175[/tex]

Answer:

C. 2.937

Step-by-step explanation:

Given the following :

H0 : p = 0.25

H1 : p > 0.25

Number of observations (n) = 647

p' = 30% = 0.3

SD = sqrt[(p(1 - p) / n)]

1 - p = 1 - 0.25 = 0.75

SD = sqrt[(0.25 * 0.75) / 647]

SD = sqrt[0.0002897]

SD = 0.0170234

Z = (p' - p) / SD

Z = (0.3 - 0.25) / 0.0170234

Z = 0.05 / 0.0170234

Z = 2.9371187 = 2.937

4*3

12

12*6

72

hope it help

The surface area of the given box is 108 square inches.

The surface area of a box is the sum of the areas of its six faces. We can find the surface area of the given box by using the formula:

Surface Area = 2lw + 2lh + 2wh

where "l" is the length, "w" is the width, and "h" is the height of the box.

As per the question, we have

l = 3 inches, w = 3 inches, and h = 6 inches

Substituting the given values, we get:

Surface Area = 2(4 x 3) + 2(4 x 6) + 2(3 x 6)

Surface Area = 24 + 48 + 36

Surface Area = 108 square inches

Therefore, the surface area of the given box is 108 square inches.

Learn more about the cuboids here:

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i hop ....

i hope

ihope

solution

Answer:

  see below

Step-by-step explanation:

The result of the expression is P∨Q, since the P∧¬R term is subsumed by the P term. That is, ..

  (P∨Q) ∨ (P∧¬R) = Q ∨ (P ∨ P∧¬R) = Q∨P

Answer:

The confidence interval = ($47.41, $53.39)

Step-by-step explanation:

Confidence Interval formula

= Mean ± z × Standard deviation/√n

Mean = $50.40

Standard deviation = $12.30

z score for a 95% confidence interval = 1.96

n = 65

Confidence Interval = $50.40 ± 1.96 × $12.30/√65

= $50.40 ± 2.9902293815

Confidence Interval =

$50.40 - 2.9902293815 =

47.409770618

≈$47.41

$50.40 + 2.9902293815 = 53.390229381

≈$53.39

Therefore, the confidence interval = ($47.41, $53.39)

Step-by-step explanation:

Remember: Coplanar definition: In the same plane.

Here, we can see that points G, N, and M make up the intersection of plane K and plane L, so that means our answers are: G, N, and M because we were looking forth e points that are on planes K and L. The other points are not the answer because they are either on only one of the planes or not on any of them at all.

I hope this helps! :)

Answer:

I THINK it is M,N,G they are coplanar and they intersect, hope i helped

Answer:

[tex]\huge\boxed{a = 10 \ , \ b = 0}[/tex]

Step-by-step explanation:

Conjugate of -1 + 3i = -1 - 3i

Their Product:

[tex]=(-1+3i)(-1-3i)\\Using \ Formula : (a+b)(a-b) = a^2-b^2\\=(-1)^2 - (3i)^2\\=1 - 9i^2\\We \ know \ that \ i^2 = -1\\=1 - 9(-1)\\=1 + 9\\=10[/tex]

Since the answer is 10, It seems like:

a + bi = 10

So, This means that:

a = 10

b = 0

Answer:

Step-by-step explanation:

Given: AC is angle bisector of <BAD.

=> So, <BAC = <CAD

30° = x-1 °

30 +1 = x

31 = x

Then, X = 31

Hope this helps.. Good luck :)

I hope this helps you

Answer: A

Step-by-step explanation:

For this problem, we would distribute the outer exponent to each exponent inside. Once we distribute, we multiply the exponents together.

[tex]2^\frac{12}{5} *9^\frac{4}{5}[/tex]

Answer:

When we have exponents (being multiplied) in a parenthesis which also has an exponent, the exponent of the parenthesis gets multiplied by each one of the others. We have to distribute the outer exponent to each exponent inside, like:

[tex](a^n*b^m)^p = a^{n*p}*b^{m*p}[/tex]

If there are numbers but no exponents (inside), it also happens the same, but as the exponent of the parenthesis gets multiplied by 1, we can just put the exponent, like:

[tex](a*b)^p=a^p+b^p[/tex]

So, in our case we have what we have explained: two numbers, one of them with an exponent and the other without it in a parenthesis which also has an exponent, so we multiply that exponent by the ones of the numbers inside the parenthesis.

[tex](2^3*9)^\frac{4}{5}[/tex] = [tex]2^{3*\frac{4}{5}}*9^\frac{4}{5}[/tex] = [tex]2^\frac{12}{5}*9^\frac{4}{5}[/tex]

So the answer is [tex]2^\frac{12}{5}*9^\frac{4}{5}[/tex]

Answer:

864

Step-by-step explanation:

let's take side of the cube as C. then volume of the cube will be C^3. we know that C^3 is 1728 inches. so C = 12. total surface area of a cube is 6*C*^2. so that is equal to 6×12×12 = 864

Answer:

y+2x = 3

Step-by-step explanation:

The formula for finding the equation of a tangent line is expressed using the point slope equation y-y0 = m(x-x0) where:

m is the slope of the line and (x0, y0) is a point on the line.

m = dy/dx = dy/dt ÷ dx/dt

dy/dt = 2(t-1)

dx/dt = e^t

m = 2(t-1)/e^t

If x = e^t, and x = 1

1 = e^t

Taking ln of both sides

ln1 = lne^t

t = ln1

t = 0

Substituting t = 0 into the slope formula:

m = 2(t-1)/e^t

m = 2(0-1)/e^0

m = 2(-1)/1

m = -2/1

m = -2

Substituting the slope m= -2 and the given point (1,1) into the formula for calculating the equation of tangent line we will have;

y-1 = -2(x-1)

y-1 = -2x+2

y+2x = 2+1

y+2x = 3

Hence the equation of the tangent line in Cartesian coordinates for the given parameter t is y+2x = 3

Answer:

The answer to this question can be defined as follows:

The Lower sum ="0.659"

The Upper sum ="0.859"

Step-by-step explanation:

In the given equation there is some mistype error, so the correct equation and its solution can be defined as follows:

Equation:

[tex]y= \sqrt{1-x^2}[/tex]

calculating the Δx:

[tex]=\frac{(1 - 0)}{5}\\\\=\frac{1}{5}[/tex]

calculating the Upper sum value:

[tex]=\bigtriangleup x \times (f(0) + f(\frac{1}{5}) + f(\frac{2}{5}) + f(\frac{3}{5}) + f(\frac{4}{5})) \\\\= \frac{1}{5} \times (1 + \sqrt{(\frac{24}{25})} + \sqrt{\frac{21}{25}} + \frac{4}{5} + \frac{3}{5})\\\\= 0.859[/tex]

calculating the Lower sum value:

Answer:

The upper sum value is 0.8592

The lower sum value is 0.6592.

Step-by-step explanation:

Given information:

The equation [tex]y=\sqrt{1-x^2}[/tex]

And [tex]n=5[/tex]

now, first find derivative of the above equation:

As, [tex]\Delta x=(1/5)\\\Delta x=0.2[/tex]

Now calculate the upper sum value as :

[tex]U=0.2[\sqrt{1-0}+\sqrt{1-0.2^2}+\sqrt{1-0.4^2}+\sqrt{1-0.6^2}]+ \sqrt{1-0.8^2}\\U=0.2\times 4.296\\U=0.8592\\[/tex]

Hence, the upper sum value is 0.8592

Now ,calculate the lower sum value as:

[tex]L=0.2[\sqrt{1-0.2^2}+\sqrt{1-0.4^2}+\sqrt{1-0.6^2}+\sqrt{1-0.8^2}+\sqrt{1-1^2}]\\L= 0.2\times 3.296\\L=0.6592\\[/tex]

Hence, the lower sum value is 0.6592.

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Answer:

E.

Step-by-step explanation:

6^2=x^2+3^2

X^2=36-9

X=

[tex] \sqrt{27} [/tex]

Answer:

Slope= 2.0003.000=1.500

x−intercept=−312​=−4

y−intercept= 12/2=6

Hoped I helped

Answer:

20+2=22

Step-by-step explanation:

When you go down by 2, then use the Inverse Operation to add it up.

Answer:

Patient A receives 150 milligrams and Patient B receives 50 milligrams

Step-by-step explanation:

Patient A = 3x

Patient B = x

200 milligrams = 3x + x

200 milligrams = 4x

x = 50

Patient A = 3(50) = 150

Patient B = 50

I hope this helps!

-TheBusinessMan

Let the medicine received by patient B be x.

According to the question patient A receives 3 times as much,

The total amount of medicine administered to the two patients equals to 200 milligrams.

We can write the relation as ,

[tex]:\implies \sf \ \ \ x + 3x = 200 \\ \\ \\ [/tex]

[tex]:\implies \sf \ \ \ 4x = 200 \\ \\ \\ [/tex]

[tex]:\implies \sf \ \ \ x = \dfrac{200}{4} \\ \\ \\ [/tex]

[tex]:\implies \sf \ \ \ { \underline{ \boxed{ \bf{ \blue{x = 50}}}}} \ \bigstar \\ \\ [/tex]

Therefore,

Answer:

(If they were talking about 3,335, then) 100 times greater

(If they were talking about 3,335 then) 10 times greater

Step-by-step explanation:

When you visualize it, ignore the other numbers and think of only the threes.

Count how many spaces/places they are from each other, and that's how many 0s you should put after a 1 as your answer.

Same as decimal moving and multiplying by 10's.

Answer:

D) $18,000

Step-by-step explanation:

A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by

E'(x) = 10x + 11,

where x is the number of days since the start of the job.

Find the expenditure if the job takes 5 days.

Step 1

We Integrate

E(x) =∫E'(x) dx

=∫[10(x) + 11] in hundreds of dollars

(5x² + 11x + c) in hundreds of dollars

Step 2

(5x² + 11x + c) in hundreds of dollars

x is the number of days since the start of the job.

x = 5

5x² + 11x

[5(5)² + 11(5)] in hundred of dollars

= [5 × 25 + 55] in hundreds of dollars

=[ 125 + 55] in hundreds of dollars

=[180] in hundreds of dollars

Hence the expenditure is 180 in hundreds of dollars

This means, 180 × $100

= $18000

Therefore, the expenditure costs $18,000