can square roots have a decimal value

The range of the graph shown is

range { y | y < 0 }

When a figure is transported from one place to another without changing its size, shape, or orientation, a translation takes place.

All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.

The graph's entire range, from lower to upper numbers vertically, represents the range.

The translation downwards, means that the graph moved down and considering the image of the attached graph, the effect of the translation means that the range to be numbers less than zero

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We found that after simplifying , He have 13 dimes and 10 quarters.

Given,

A man has 23 coins in his pocket.

The total value of his change is 380 cents.

Now,

23 = x + y

23 - x = y

As we know that

A dime=10 cents

So the cost of x dime is 10x.

A quarter=25 cents

so the cost of y quarters is 25y.

380 = 10x + 25y

Substitute the first equation, so

389 = 10x + 25 (23 - x)

380 = 10x + 575 - 25x

15x = 195

x = 13 dimes

Therefore,

y = 23 - 13 = 10 quarters

y = 10 quarters

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The product of 1/100 is 0.01.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given that the expression 1/100.

To find the product of 1/100,

means the decimal value of 1/100

And the decimal value of 1/100 is part of 1 in hundredth

= 1/100

= 0.01

Hence, product of 1/100 is 0.01.

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The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

[tex]((\bar p_{1} -\bar p_{2})[/tex]±[tex]Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })[/tex]

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±[tex]1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })[/tex]

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

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Answer:

A

Step-by-step explanation:

Plug in -15/4 in your calculator and you will see that it is equal to [tex]\frac{1}{\sqrt{8} }[/tex]

0.35355339059

The probability that the product of the numbers on the top faces of all four dice is a prime number is  [tex]\frac{1}{108}[/tex] .

We have given that,

six-sided dice are rolled 4 times

i.e. probability of this event is [tex]6^{4}[/tex] = 1296.

The condition is product of the numbers on the top faces of all four dice is a prime number.

The only way to get a prime number by multiplication is to have three of the numbers equal to one and the fourth number equal a prime.

The prime less than 6 are 2,3,5.

Each prime number will come on the all four dices top faces.

Therefore outcomes are,

{1,1,1,2}, {1,1,2,1, {1,2,1,1}, {2,1,1,1}, {1,1,1,3}, {1,1,3,1}, {1,3,1,1}, {3,1,1,1}, {1,1,1,5}, {1,1,5,1}, {1,5,1,1}, {5,1,1,1}.

there are 12 outcomes for the given probability.

Therefore required probability [tex]\frac{12}{1296}[/tex] i.e [tex]\frac{1}{8}[/tex].

Hence the probability that the product of the numbers on the top faces of all four dice is a prime number is [tex]\frac{1}{8}[/tex].

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Definition of octagon-

In geometry, an octagon is a polygon with 8 sides and 8 corners. So an octagon has 8

vertices and 8 sides. Simply put, an octagon is an eight-sided polygon, also called an octagon.

we know that,

An Apothem is a line segment from the center to the midpoint of one of the sides. You can start by dividing the octagon into 8 smaller triangles. The area of each triangle is

Side into apothem

3 x 3.5 feet = 10.5

then

10.5×8=84

84 is the total area of an octagon.

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Step-by-step explanation:

Marcus 24

Alaina 24 - 8 = 16

Tory 16×2 = 32

in total they sent

24 + 16 + 32 = 72

the ratio of Tory's texts to the total of all 3 friends is

32/72 = 4/9

Answer:

3x at the power of 2 -2x+21

ask for explanation if needed

The amount of the pizza did Cassie eat on Saturday will be 5/9 of pizza.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

On Friday night, Cassie ate a pizza for dinner and had 5/6 of the pizza left over.

And, On Saturday, she ate 1/3 of what was left.

Now,

Since, On Saturday, she ate 1/3 of what was left.

Hence, The amount of the pizza did Cassie eat on Saturday is;

⇒ 5/6 - 1/3 of 5/6

⇒ 5/6 - 1/3 × 5/6

⇒ 5/6 - 5/18

⇒ 15/18 - 5/18

⇒ 10/18

⇒ 5/9

Thus, The amount of the pizza did Cassie eat on Saturday will be 5/9 of pizza.

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The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

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Answer:

y = -5/6 x + 4

Step-by-step explanation:

y = mx + b

m = slope = (-1 - 14)/(6 - (-12)) = -15/18 = -5/6

y = -5/6 x + b

14 = -5/6 × (-12) + b

14 = 10 + b

b = 4

y = -5/6 x + 4

The integral is ∫ x sec x tan x dx. We can solve it using integration by parts xln|sec(x) + tan(x)| - x + C

We have u = x, dv = sec(x)tan(x)dx, du = dx, and v = ln|sec(x) + tan(x)|.

The integral is then

Integrating the second part we get:

xln|sec(x) + tan(x)| - x + C

The integral is ∫ x sec x tan x dx. We can solve it using integration by parts. We let u = x and dv = sec(x)tan(x)dx. Then, du = dx and v = ln|sec(x) + tan(x)|. So, the integral becomes xln|sec(x) + tan(x)| - ∫ ln|sec(x) + tan(x)| dx. We can integrate the second part to get xln|sec(x) + tan(x)| - x + C.

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Answer:

height = 5 m

Step-by-step explanation:

the volume (V) of a cuboid ( shape of room ) is calculated as

V = A h ( A is the area of the base and h the height )

here V = 235 and A = 47 , then

47h = 235 ( divide both sides by 47 )

h = 5 m

Answer:

volume= height * length * breadth = 235

area= length * breadth = 47

Step-by-step explanation:

47*height= 235

height=5sq

Answer:

n = 4

Step-by-step explanation:

Given equation:

[tex]\sqrt[3]{y^2} =\sqrt[6]{x}[/tex]

[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]

[tex]\implies y^{\frac{2}{3}}=x^{\frac{1}{6}[/tex]

Take both sides of the equation to the power of ³/₂:

[tex]\implies \left(y^{\frac{2}{3}}\right)^\frac{3}{2} =\left(x^{\frac{1}{6}\right)^\frac{3}{2}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies y^{\frac{2}{3} \cdot \frac{3}{2}}=x^{\frac{1}{6} \cdot \frac{3}{2}}[/tex]

Simplify:

[tex]\implies y^{\frac{6}{6}}=x^{\frac{3}{12}[/tex]

[tex]\implies y^1=x^{\frac{1}{4}[/tex]

Apply exponent rule  a¹ = a :

[tex]\implies y=x^{\frac{1}{4}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]

[tex]\implies y=\sqrt[4]{x}[/tex]

The final solution of the given question is -0.625.

What are the denominator and numerator?

A fraction's top digit is always referred to as the numerator. It displays the number of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.

We have,

- 3/8 - 1/4

so, calculating the given values,

((-3) ÷ (8)) - (1 ÷ 4)

make the denominator the same by multiplying 1/4 by 2, we get,

((-3) ÷ (8)) - (2 ÷ 8)

add the numerator and one common denominator,

-3 - 2 ÷ 8

-5 ÷ 8

= -0.625

Hence, the final solution to the given question is -0.625.

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The volume of both prisms is B. 105.34 cubic units

The volume of a prism is given by V = lwh where

Given the diagram If

The volume of the top prism is V = lwh where

Given that

So, V = abd

Also, the volume of the bottom prism is V' = lwh where

Given that

So, V' = a²c

So, the volume of the two prisms is V" = V + V'

= abd + a²c

= a(bd + ac)

Substituting the values of the variables into the equation, we have

V" = a(bd + ac)

= 2.3(4 × 8 + 2.3 × 6)

= 2.3(32 + 13.8)

= 2.3(45.8)

= 105.34 cubic units

So, the volume is B. 105.34 cubic units

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A proportion of 0.455 and 0.505 contain the true portion of the total population of 10,000 with 95%confidence.

A sampling technique called random sampling, also known as probability sampling, enables the randomization of sample selection, meaning that each sample has the same chance of being chosen to reflect the entire population.

Every subject in your target demographic must have an equal probability of being chosen for your sample in order for it to be considered truly random. This assumption might be broken, for instance, by performing a survey to determine how much time college students spend working out each week at your campus.

If 95% of all the samples, then we expect between 45.5% and 50.5% of the total samples contain the true proportion of the population.

If we repeatedly make new samples, taking samples of size 10,000, approximately with 95% confidence of those samples would have between 45.5% and 50.5% containing true portion of population.

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If the surface area of the rectangular box is 4 m² then the dimensions that maximize its volume is  (2/√3 , 2/√3 , 1/√3)  .

In the question ,

let length of rectangular box be = l

let width of rectangular box be = b and

let height of rectangular box be = h .

Since the box has no top ,

So , the surface area is = lb + 2bh + 2hl = 4

we get h = (4-lb)/(2l + 2b) .

The volume of the box is given as  V = l×b×h .

Substituting the value of h from above in the volume formula , we get ,

V = lb(4-lb)/(2l + 2b)

differentiating it with respect to l ,

we get ,

dV/dl = [((2l+2b)(4b-2lb²)-lb(4-lb).2)/(2l+2b)²] = 0

Simplifying further ,

we get ,

2l² + 4lb - 8 = 0       ....equation(1)

Differentiating volume with respect to "b" .

dV/db = [((2l+2b)(4l-2l²b)-lb(4-lb).2)/(2l+2b)²] = 0

simplifying further ,

we get ,

2b² + 4lb - 8 = 0        ...equation(2) .

Simplifying equation(1) and (2) , we get

l = b  ,

Substituting l = b in equation(1) ,

we get ,

2l² + 4l² = 8

l = 2/√

and b = 2/√3 .

Substituting the values in h ,

we get ,

h = (4-lb)/(2l + 2b)

h = 1/√3 .

Therefore , the dimensions of the box is (2/√3 , 2/√3 , 1/√3) .

The given question is incomplete , the complete question is

A rectangular box with no top is to have a surface area of 4 m². find the dimensions (in m) that maximize its volume.

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The coordinates of C are (5, 4).

What is a coordinate point?

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

Given, A(-4,-2) and B(8,6)

Point C is 3/4 of the way from point A to B. Then,

C = A +3/4(B -A)

or, C = (3B +A)/4

or, C = (3(8, 6) +(-4, -2))/4

or, C = (24 -4, 18 -2)/4

or, C = (5, 4)

Hence, the coordinates of C are (5, 4).

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We can factor this polynomial with 4 terms without grouping.

Factor is a thing that influence decision or the situation.

How to factor polynomials with 4 term without groupingLet P(x) be a polynomial with four terms.

To factor P(x) without grouping, substitute

x = -1, 1, -2, 2, -3, 3.......

P(-1) = 0 ----> (x + 1) is a factor of P(x)

P(1) = 0 ----> (x - 1) is a factor of P(x)

P(-2) = 0 ----> (x + 2) is a factor of P(x)

P(2) = 0 ----> (x - 2) is a factor of P(x)

If P(-1) ≠ 0, then (x + 1) is not a factor of P(x).

Then, try x = 1, x = -2, x = 2 and so on.

Once one of the linear factors of P(x) is found, the other factors can bound easily (the rest of the process has been explained in the following examples).

Factor the following polynomials without grouping :

d as (x2 + ax + b).

Then,

(x + 1)((x2 + ax + b) = x3 - 2x2 - x + 2

Comparing the coefficients of x and constants,

b + a = -1 ----(1)

b = 2

Substitute b = 2 in (1).

2 + a = -1

a = -3

x2 + ax + b = x2 - 3x + 2

Factors of (x2 - 3x + 2) are (x - 1) and (x - 2).

Therefore,

x3 - 2x2 - x + 2 = (x + 1)(x - 1)(x - 2)

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Answer:

It will take Iliana 16 hours to get 200 total XP.

Step-by-step explanation:

To project a value on a graph, we need to first find the equation of the graph.

The graph makes the shape of a line. Therefore, the equation of a graph is a linear equation.

⭐What is a linear equation?

To make the equation for this graph, we need to find the value of the slope and the y-intercept and substitute it into the equation.

The equation for this graph will be called P(t).

⭐How do we find the slope?

Pick 2 coordinates you are given. I am going to use (2,25) and (4,50).

Substitute these coordinates into the slope formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\[/tex]

[tex]m = \frac{50-25}{4-2}[/tex]

[tex]m = \frac{25}{2}[/tex]

⭐How do we find the y-intercept?

Since we aren't given the corresponding y-value for when x=0, we have to do the second option stated.

m = 25/2 is the same thing as m = -25/-2, because:

negative/negative = positive

positive/positive = positive

Thus, we can move down from point (2,25) 25 units and left 2 units to get to point (0,0).

[tex]y-intercept = 0[/tex]

Now, substitute the values of the y-intercept and the slope into the equation for the graph.

[tex]P(t) = mt + b[/tex]

[tex]P(t) = \frac{25}{2}t[/tex]

Next, to project a value on the graph, we need to substitute the y-value into the equation to find its corresponding x-value.

The y-value we want to find is 200 XP.

[tex]200 = \frac{25}{2}t[/tex]

Multiply LHS and RHS by [tex]\frac{2}{25}[/tex] to isolate t.

[tex]\frac{2}{25}(200) = \frac{2}{25}(\frac{25}{2}t)[/tex]

[tex]\frac{400}{25} = t[/tex]

[tex]16 = t[/tex]

∴ It will take Iliana 16 hours to get 200 total XP!

⭐if this response helped you, please mark it the "brainliest"!⭐

Answer:

it would take her 16 hours to get 200 XP

you could see how much XP she gets in a hour and it would help you understand it better

HOURS ( 1 2)

TOTAL XP( 12.5 ÷2)

so according to the small little graph 1 hour is 12.5 XP so you could type how much she gets for any number of hours

EQUATIONS

p=12.5t you could make (t) time by itself

t = p/12.5

HOW LONG TO GET 200 XP

you need t get the value of t cause p = to 200

t= p/12.5

since p is = to 200 p is 200 and you can replace it

t= 200/12.5

so all you have to do it the math!

t = 16

ANSWER

it takes her 16 hours to get 200 XP

The total amount of the monthly payments and the finance charge is 144.

Instalment is one of the regular payments that anyone can  make for anything until you have fully paid that full amount.

Using the appropriate interest relation, the solution to the problems posed are :

Down payment = 0.05k

144 monthly payments

Total monthly payment made = 144g

Down payment :

5% of total cost

Total cost = k

5% × k = 0.05k

B.)

Number of monthly payments :

Number of months per year = 12

Number of years = 12

Number of monthly payments = 12 × 12 = 144

C.)

Total charge :

Monthly payment = $g

Number of monthly payments × amount paid

g × 144 = 144g

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a) The marginal cost MC at  x=9 units is $154.70.

b) The cost of producing 1 additional unit is $154.70.

c) The cost of producing 2 additional units is $309.40.

The Marginal Cost quantifies the incremental cost incurred from the production of each additional unit of a good or service. The marginal cost of production captures the additional cost of producing one more unit of a good/service.

The analysis of the marginal cost helps determine the “optimal” production quantity, where the cost of producing an additional unit is at its lowest point. The marginal cost of production must be lower than the price per unit for a company to be profitable – thus, the marginal cost pinpoints the output volume and pricing where incremental costs are reduced.

a) Marginal Cost = (Change in Costs) ÷ (Change in Quantity)

C(x) = 1/90[tex]x^{3}[/tex] + 8[tex]x^{2}[/tex] + 8[tex]x[/tex] +18

MC = dC/dx

MC = d( 1/90[tex]x^{3}[/tex] + 8[tex]x^{2}[/tex] + 8[tex]x[/tex] +18) / dx

      = 1/90 (3x²) + 8 (2x) + 8

      = 1/30x² + 16x + 8

At x = 9 units, we get

MC(x=9) = 1/30 (9²) + 16 (9) + 8

              = 154.7

Rounding off to two decimal places, we get 154.70.

Thus, the marginal cost MC at  x=9 units is $154.70.

b) Marginal Cost = (Change in Costs) ÷ (Change in Quantity)

154.70 = Change in costs/ 1

Change in costs = 154.70

So, the cost of producing 1 additional unit is $154.70.

c) Marginal Cost = (Change in Costs) ÷ (Change in Quantity)

154.70 = Change in costs/ 2

Change is costs = 309.40

So, the cost of producing 2 additional units is $309.40.

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On solving we got that. he shorter pieces will therefore be 3 feet long and the longer pieces will therefore be 8 feet long.

Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.

The lengths of the shorter and longer pieces of a board should be determined.

the case

Let's say that the shorter parts are x in length.

as stated

Jared has an 11-foot wooden board with him.

In order for the longer piece to be 4 feet less than 4 times as long as the shorter piece, he wants to cut it into two pieces.

The length of the longer pieces is then equal to 4x - 4.

The equation then becomes

[tex]x + 4x - 4 = 11\\ 5x = 11 + 4\\ 5x = 15\\ x = 3 ft[/tex]

The shorter pieces will therefore be 3 feet long.

The longer pieces' length -

[tex]4x - 4\\ = 4 X 3 - 4\\ = 12 - 4\\ = 8 ft[/tex]

The longer pieces will therefore be 8 feet long.

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Answer:

7/5

Step-by-step explanation:

Go up from the lower left point along the orange line 7 units.

7 units up = a rise of 7

Now go right on the orange line 5 units.

5 units right = a run of 5

slope = rise/run = 7/5

Answer: 7/5

t = price of bag of takis

w = water price

10t + 2w = 32

4t + 6w = 18

get both equations in terms of w

2w = 32 - 10t

6w = 18 - 4t

multiply first equation by -3

-6w = -96 + 30t

6w = 18 - 4t

add

0 = -78 + 26t

78 = 26t

t = 3

price of taki bag is 3 dollars

plug into any of the formulas and solve for w

6w = 18 - 4(3)

6w = 18 - 12

6w = 6

w = 1

price of water is 1 dollar

make sure this is correct by plugging into one of the formulas and verifying if true

4t + 6w = 18

4(3) + 6(1) = 18

18 = 18

answers are correct

takis are 3 dollars

waters are 1 dollars

hope this helps :)

- jeron

comment if you have questions

look up "solving linear equations" for more information