Solve the inequality. Apply properties
Add
Subtract
Multiply
Divide
1/2-1/4x ≥ -1/4

The geometric term modeled by a blanket is a rectangular prism. A rectangular prism is a solid three-dimensional object which has six faces where each face is a rectangle.

A blanket is flat, which implies that it has a length and width but no height. However, after being folded and stacked, it will take up the shape of a rectangular prism, as it occupies some volume. The rectangular prism is also known as a cuboid or a box, which can be used interchangeably. It is a type of polyhedron that has six rectangular faces that are connected by rectangular sides and edges. The rectangular prism has two types of sides which are the lateral faces (or lateral surfaces) and the base faces (or base surfaces). The lateral faces of a rectangular prism are all the same, and the base faces are also identical to each other. All lateral edges and base edges of the rectangular prism are perpendicular to the other edges.

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Answer:

B

Step-by-step explanation:

there are 7 blocks in the whole

the green portion is 3/7

1/2 times 6/7 is equal to 3/7

the answer is B

Answer:

Step-by-step explanation:

x1 + x2 divided by 2

y1 + y2 divided by 2

-3 + 4 is 1/2

-4 + 4 is 0

(0.5,0)

i could be wrong but i did it in my head , but the equation is right . just do that in order

Answer:

( 0.5, - 1 )

Step-by-step explanation:

So here is the equation:

x2 + x1 / 2 For the x coordinate

y2 + y1 / 2 For the y coordinate

x2 is 4 and x 1 is -3 whilst y2 is 2 and y1 is -4.

Thus:

4 + -3 / 2 = 0.5 x coordinate

2 + -4 / 2 = -1 y coordinate

So it becomes (0.5, -1)

HOPE THIS HELPED

The choose C. –2/15

(-2/15) +(-13/5) =(-13/5) +a/b

a/b = (-2/15)+(-13/5) - (-13/5)

a/b = (-2/15) - ( 39/15) +(39/15)

a/b = –2/15

I hope I helped you ^_^

Answer: option 3: a/b = (-2/15)

Step-by-step explanation:

See here when we solve this

(-2/15)+(-13/5) = (-13/5)+a/b

(-2/15) = (-13/5)+a/b-(-3/15)

(-2/15) = a/b

please click thanks and mark brainliest if you like :)

Answer:

a = 7, b = \(\frac{7\sqrt{3} }{3}\)

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = \(\frac{1}{\sqrt{2} }\) , then

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{a}{7\sqrt{2} }\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

a × \(\sqrt{2}\) = 7\(\sqrt{2}\) ( divide both sides by \(\sqrt{2}\) )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = \(\sqrt{3}\) , then

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{a}{b}\) = \(\frac{7}{b}\) = \(\sqrt{3}\) ( multiply both sides by b )

b × \(\sqrt{3}\) = 7 ( divide both sides by \(\sqrt{3}\) )

b = \(\frac{7}{\sqrt{3} }\) × \(\frac{\sqrt{3} }{\sqrt{3} }\) = \(\frac{7\sqrt{3} }{3}\)

6 ounces is equal to 0.75 cups.

The conversion factor between ounces (oz) and cups is 1 cup = 8 ounces. To convert ounces to cups, divide the number of ounces by 8. For example, 6 ounces is equal to 6/8 = 0.75 cups.

It is important to note that measurements in cooking and baking can vary depending on the recipe and the level of precision required. However, using measuring cups and spoons is a good way to ensure that ingredients are added in the correct proportion.

Additionally, it is always good practice to check the recipe and make sure you are using the right measurement units. Additionally, it's worth noting that ounces and cups are both units of measurement used in cooking and baking, but they're not interchangeable,

so you should always use the right unit of measurement for the recipe you're following.

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Tickets cost per adult = $12

Tickets cost per kid = $8

Total cost for a adults = 12a

Total cost for k kids = 8k

Algebraic expression to show cost for a adults and k kids = 12a + 8k dollars

Answer:

\(\displaystyle (-1,\frac{-3}{2})\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 1)

Point (1, -4)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

The probability of drawing a red marble is 0.5

Probability is a way to determine how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Probability of an event=\(\frac{Number of Favourable outcomes}{Total number of outcomes}\)

In this problem, a single marble is drawn from a box of 36 marbles: 18 red and 18 green. We are told that five draws have to be done. The event is  independent of the others. The probability of drawing a red marble will always be the same in this situation. Since every marble is equally likely to be drawn, the probability of drawing red is

P(R)=\(\frac{Number of Favourable outcomes}{Total number of outcomes}\)

Here the favorable outcome is number of red balls and the total number of outcomes is total number of balls

=18/(18+18)

=18/36

=1/2

=0.5

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Answer:

the answer is D: $10547.20

Answer:

X=0,-2

Step-by-step explanation:

6 x ( x + 2 ) = 0 Divide each term in 6 x ( x + 2 ) = 0 by 6 . 6 x ( x + 2 ) 6 = 0 6 Cancel the common factor of 6 .  x ( x + 2 ) = 0 6 Divide 0 by 6 . x ( x + 2 ) = 0 If any individual factor on the left side of the equation is equal to 0 , the entire expression will be equal to 0 . x = 0 x + 2 = 0 Set the first factor equal to 0 . x = 0 Set the next factor equal to 0 and solve. Tap for more steps... x = − 2 The final solution is all the values that make 6 x ( x + 2 ) 6 = 0 6 true. x = 0 , − 2

Answer:

The equation of the circle is

(x + 4)^2 + (y-1)^2 = 162

Step-by-step explanation:

Here, we want to give the correct equation of the circle.

The center of the circle is (-4,1)

Now the other parameter we need to show the equation of the circle is the radius of the circle and this can be obtained from the distance between the circle center and a point on the circumference.

We use the distance formula to calculate this.

So the distance we want to calculate is the distance between;

(-4,1) and (5,-8)

using the distance formula, we have

d = √(x2-x1)^2 + (y2-y1)^2

Substituting these values, we have;

d = √(5 + 4)^2 + (-8-1)^2

d = √(9^2 + 9^2)

d = √(162)

d = 9 √2 units

The formula for the equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) are coordinates of the center which is (-4,1) in this question

The way of the circle is thus,

(x-(-4)^2 + (y-1)^2 = {9√(2)}^2

(x + 4)^2 + (y-1)^2 = 162

Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{5}\\ o=\stackrel{opposite}{y} \end{cases} \\\\\\ y=\sqrt{ 13^2 - 5^2}\implies y=\sqrt{ 169 - 25 } \implies y=\sqrt{ 144 }\implies y=12 \\\\[-0.35em] ~\dotfill\)

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{35}\\ o=\stackrel{opposite}{12} \end{cases} \\\\\\ x=\sqrt{ 35^2 + 12^2}\implies x=\sqrt{ 1225 + 144 } \implies x=\sqrt{ 1369 }\implies \boxed{x=37}\)

Answer:

£66

Step-by-step explanation:

1/5 times £495

2/3 times £495

Rent =£99

Food =£330

99+330=429

495-429=£66

I hope that help you and you learned how to do it for next time.

Answer:

£66 Left

Step-by-step explanation:

Total Money = £495

Rent:

=> \(\frac{1}{5} * 495\)

=> £99

Food:

=>\(\frac{2}{3} * 495\)

=> 2 * 165

=> £330

Left:

=> £495-£99-£330 = £66

The Power series representation of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

The Maclaurin series expansion method can be used to get the power series of such functions if the function has a composite part, such as the multiplication or quotient form.

An infinite series in mathematics known as a "power series" can be compared to a polynomial with an infinite number of terms.

The Maclaurin series will be used in this instance to expand the function:

\(tan^-^1x\) = \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^2^n^+^1}{2n+1}\)

and for    \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{(x^3)^2^n^+^1}{2n+1}\)

=>  \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)  -------(i)

and f(x) = \(x^8tan^-^1x^3\)

now we need to multiply \(x^8\) in the above equation to get the power series expansion of f(x)

\(x^8tan^-^1x^3\) = \(x^8\) \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)

=> \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3^+^8}{2n+1}\)

=>  \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

so the expansion of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

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Answer:

2804

Step-by-step explanation:

2504 + 140 + 160 = 2804   (hint: add the 140 + 160 first. It sums up to 300 which is easy to add to 2504)

The non-transcendental expression for the differential equation y" = -e" by letting u = e and rewriting it with respect to u is du/dy * (-e") + (du/dy * y')² = -e".

To solve the non-linear differential equation y" = -e", we can follow the given steps:

Step i: Find a non-transcendental expression for the differential equation by letting u = e and then rewriting it with respect to u.

Let's start by finding the derivatives of u with respect to x:

du/dx = du/dy * dy/dx [Using the chain rule]

= du/dy * y' [Since y' = dy/dx]

Taking the second derivative:

d²u/dx² = d(du/dx)/dy * dy/dx

= d(du/dy * y')/dy * y' [Using the chain rule]

= du/dy * y" + (d(du/dy)/dy * y')² [Product rule]

Since we are given the differential equation y" = -e", we substitute this into the above expression:

d²u/dx² = du/dy * (-e") + (d(du/dy)/dy * y')²

= du/dy * (-e") + (du/dy * y')² [Since y" = -e"]

Now, we can rewrite the differential equation with respect to u:

du/dy * (-e") + (du/dy * y')²

= -e"

This gives us the non-transcendental expression for the differential equation in terms of u.

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Therefore, P (X = 266 or X = 274) ≈ 0.0000017686 + 0.000000000006114 ≈ 0.0000017686.

Exercise 5-39 Algo Let X represent a binomial random variable with n = 320 and p = 0.76.

The problem is to determine the following probabilities. P(X > 255)P(X ≤ 254)P(266 ≤ X ≤ 274)P(X = 266 or X = 274) Solution P(X > 255)

The probability that the random variable X is greater than 255 is given by; P(X > 255) = 1 - P(X ≤ 255)Therefore, using the normal approximation to the binomial distribution, we have; μ = np = 320(0.76) = 243.2σ = √(np(1-p)) = √(320(0.76)(0.24)) ≈ 8.2266

The continuity correction factor will be used to obtain the value of the standard normal variable to use for the calculation. Z = (255 + 0.5 - μ)/σ = (255.5 - 243.2)/8.2266 ≈ 1.4981Using the standard normal table, we have;P(Z > 1.4981) ≈ 1 - 0.9337 ≈ 0.0663

Therefore, P(X > 255) ≈ 0.0663.P(X ≤ 254) Similarly, using the normal approximation to the binomial distribution; μ = np = 320(0.76) = 243.2σ = √(np(1-p)) = √(320(0.76)(0.24)) ≈ 8.2266Z = (254 + 0.5 - μ)/σ = (254.5 - 243.2)/8.2266 ≈ 1.3736Using the standard normal table,

we have;P(Z ≤ 1.3736) ≈ 0.9149Therefore, P(X ≤ 254) ≈ 0.9149.P(266 ≤ X ≤ 274)Using the normal approximation to the binomial distribution; μ = np = 320(0.76) = 243.2σ = √(np(1-p)) = √(320(0.76)(0.24)) ≈ 8.2266Z₁ = (266 + 0.5 - μ)/σ = (266.5 - 243.2)/8.2266 ≈ 2.8259Z₂ = (274 + 0.5 - μ)/σ = (274.5 - 243.2)/8.2266 ≈ 3.7913

Therefore; P(266 ≤ X ≤ 274) ≈ P(2.8259 ≤ Z ≤ 3.7913) ≈ P(Z ≤ 3.7913) - P(Z ≤ 2.8259) ≈ 0.0029P(X = 266 or X = 274)Since X is a discrete random variable,

we have; P(X = 266 or X = 274) = P(X = 266) + P(X = 274) Using the binomial distribution, we have;P(X = 266) = C(320,266)p^266(1-p) ^(320-266) ≈ 0.0000017686P(X = 274) = C(320,274)p^274(1-p)^(320-274) ≈ 0.000000000006114

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Answer:

Step-by-step explanation:

$18 would work

And anything below that number.

The price for the caps can be $18.

A tax is a mandatory financial charge or other kind of levy placed on a taxpayer by a government agency to pay for government expenses and other public expenditures.

Given:

Sales tax in his city is 8%.

let the price be x.

x( 1+ 8%) ≤ 20

1.08x ≤ 20

x≤ 18.52

So, x can be 18.52 of less than 18.52.

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The cumulative frequency of the third class is 73. This means that 73 out of the 86 mid-level managers surveyed spent between 14 and 20 days traveling each year.

The cumulative frequency of the third class is the sum of the frequencies of all the classes up to and including the third class. In this case, the frequency of the third class is 35, and the frequencies of the first two classes are 13 and 25, respectively. So, the cumulative frequency of the third class is:

13 + 25 + 35 = 73

This means that 73 out of the 86 mid-level managers surveyed spent between 14 and 20 days traveling each year.

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Answer:

e = -2 + v + f

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

v + f - e = 2

Step 2: Solve for e

Answer:

Step-by-step explanation:

table3 represents exponential function

Answer:  X = -1/2

Step-by-step explanation:

(i) Y = 2X + 1

(ii) X = 7 - 2Y

We can substitute the value of X from equation (ii) into equation (i) and solve for Y.

Substituting X = 7 - 2Y into equation (i), we have:

Y = 2(7 - 2Y) + 1

Simplifying:

Y = 14 - 4Y + 1

Y = -3Y + 15

Adding 3Y to both sides:

4Y = 15

Dividing both sides by 4:

Y = 15/4

Now, we can substitute this value of Y back into equation (ii) to find X:

X = 7 - 2(15/4)

X = 7 - 30/4

X = 7 - 15/2

X = 14/2 - 15/2

X = -1/2

Therefore, the value of X is -1/2 when solving the given system of equations.

The solution to the system of equations Y=2X+1 and X=7−2Y is X=1 and Y=3.

To solve this system of equations, you can start by substituting y in the second equation with the value given in equation (i) (2x+1). So, the second equation will now be X = 7 - 2*(2x+1).

This simplifies to X = 7 - 4x - 2. Re-arrange the equation to get X + 4x = 7 - 2, which further simplifies to 5x = 5, and thus x = 1.

Now that you have the value of x, you can substitute that in the first equation to find y. Hence, Y = 2*1 + 1 = 3.

Therefore, the solution to this system of equations is X = 1 and Y = 3.

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A triangle with the sides of lengths 8 cm, 10 cm, and 14 cm is an Obtuse triangle.

We solve question By the Pythagoras theorem

If the three sides of a triangle are a , b and c,

If a² + b² = c² ⇒ a right triangle.

If a² + b² < c² ⇒ an obtuse triangle.

If a² + b² > c² ⇒ an acute triangle.

At question above,triangle sides are 8 cm, 10 cm, and 14 cm.

Apply to Pythagoras theorem:

8² + 10² = 64 + 100 = 164

And, 14² = 196

Therefore, 8² + 10² < 14²

An obtuse triangle is a triangle in which one of the angles is greater than 90⁰.

The characteristic of an obtuse triangle is that it looks sharp. Therefore, an obtuse triangular shape looks like a needle.

The condition for an obtuse triangle is that one of its corners must have an angle of more than 90⁰.

The sum of the angles of an obtuse triangle add up to 180⁰.

Characteristics of an Obtuse Triangle

The properties of an obtuse triangle are:

• Has one obtuse angle and two acute angles

• One of the angles is greater than 90⁰

• The sum of the three angles is 180°

• The sum of the two sides is greater than the length of the other side

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The 80th percentile is 125.37.

It is required to find the solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The weights (in pounds) of seven people:

100, 115, 135, 140, 180, 197, 230.

We have to find the 80th percentile first we have to find the mean of seven people.

Mean=100+ 115+135+140+ 180+197+ 230/7

Mean=156.71

100 percent=156.71

80  percent=156.71*80/100

80  percent=125.37.

Therefore, the 80th percentile is 125.37.

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Answer:

Yes

Step-by-step explanation:

Answer:

the anwser is below sea level

Step-by-step explanation:

Answer:

hope it works for u

Step-by-step explanation:

Given the length of the rectangle = l

the breadth  of the rectangle = b

perimeter of the rectangle = sum of length of all sides of the rectangle  

                                             = l+ b+ l+ b

                                             =2 l+2 b

                                             =2( l+ b)

∴ perimeter of the rectangle =2( l+ b)

as given perimeter = 1004 m

hence ,

2(l+ b)= 1004

(l+ b)=1004/2  = 502 m