Find the difference. Then Identify the degree of the difference.

Classify it by the number of terms.

The degree of the polynomial is


The difference sqrt(- p ^ 2 + 4p - 4)

The classification is

The pair of ratios that does not form a proportion is 103/24 and 5/40.

To check if two ratios form a proportion, we need to simplify them to their simplest form and compare them. If the two ratios are equal after simplification, then they form a proportion.

In this question, we are given five ratios: 103/24, 5/40, -30/15, 10/5, and 3/S.

To simplify the first ratio, we can divide both the numerator and denominator by their greatest common factor, which is 1. Therefore, the simplified form of 103/24 is 4.29 (rounded to two decimal places).

To simplify the second ratio, we can also divide both the numerator and denominator by their greatest common factor, which is 5. Therefore, the simplified form of 5/40 is 0.125.

When we compare these two simplified ratios, we can see that they are not equal. Therefore, the pair of ratios that does not form a proportion is 103/24 and 5/40.

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Which pair of ratios does NOT form a proportion?

103 24

5 40

-30 15

10 5

3 S

Answer: \(\dfrac{8}{\pi}\) .

Step-by-step explanation:

We know that the rate of change of function f(x) from x=a to x= b is given by :-

\(k=\dfrac{f(b)-f(a)}{b-a}\)

The given points on graph  :  (0, -4) and (pi over 2, 0) and (pi, 4) and (3 pi over 2, 0) and (2 pi, -4).

The rate of change from x = 0 to x = pi over 2 will be :-

\(\dfrac{0-(-4)}{\dfrac{\pi}{2}-0}=\dfrac{4}{\dfrac{\pi}{2}}\)     [By using points (0, -4) and (pi over 2, 0) ]

\(=\dfrac{8}{\pi}\)

Hence, the rate of change from x = 0 to x = pi over 2 is \(\dfrac{8}{\pi}\) .

Answer: 4x^2 +x-5

Step-by-step explanation:

Answer:

The 95% confidence interval for the mean change in blood pressure, \(\bar{x}\), is 1.744 < \(\bar{x}\) < 2.816

Step-by-step explanation:

The parameters given are;

The number of people in the sample, n = 9

The average drop in blood pressure, \(\bar{x}\) = 2.28 points

The standard deviation, σ = 0.82

The confidence level = 95%

The formula for confidence interval with a known mean is given as follows;

\(CI=\bar{x}\pm z_{\alpha/2} \dfrac{\sigma}{\sqrt{n}}\)

Where:

\(z_{\alpha/2}\) = z - score at 95% confidence level = 1.96

We therefore have;

\(CI=2.28 \pm 1.96 \times \dfrac{0.82}{\sqrt{9}}\)

Which gives the 95% confidence interval for the mean change in pressure, \(\bar{x}\), is given as follows;

1.744 < \(\bar{x}\) < 2.816

Answer:

Please give brainliest

Step-by-step explanation:

c

Answer:

Amanda has 8 cousins

Step-by-step explanation:

Let C be the number of cousins Caleb has, A be the number of cousins Amanda has, and R be the number of cousins Ruby has:

\(C=2A\\R=5\\R=C-11\\\\R=C-11\\5=C-11\\16=C\\\\C=2A\\16=2A\\8=A\)

Therefore, Amanda has 8 cousins.

Answer:

Amanda has 8 cousins.

Step-by-step explanation:

Let's use algebraic variables to solve the problem.

Let's assume the number of cousins Amanda has is represented by 'A'.

Since Caleb has twice as many cousins as Amanda, the number of cousins Caleb has is '2A'.

And Ruby has 5 cousins, which is 11 less than what Caleb has, so the number of cousins Caleb has is '5 + 11 = 16'.

Equating the two expressions for the number of cousins Caleb has:

2A = 16

Now we can solve for 'A', the number of cousins Amanda has:

Divide both sides of the equation by 2:

A = 16 / 2

A = 8

Therefore, Amanda has 8 cousins.

Answer:

Tennessee

Step-by-step explanation:

Answer:

Answer to your question ; f(t) = 55 = 4t

The perimeter of the pond is 2.92 meters.

A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.

The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.

The perimeter of a right-angled triangle is the sum of the lengths of its three sides.

Here we have

The Hypotenuse of the triangle is 1.46 m    

The angle between hypotenuse and perpendicular height = 73°

From triagonometric ratios,

=> cos A = Perpendicular height/ Hypotenuse.

=> cos (73) = Perpendicular height/1.46

=> Perpendicular height = 1.46 × 0.29 = 0.42 m

As we know from Pythagoras' theorem,

Hypotenuse² = side² + side²    

Side = √Hypotenuse² - side²  

= √[(1.46)²- (0.42)²]  = 1.04

Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04

Hence, perimeter of the pond =  1.46 + 0.42 + 1.04 = 2.92 meters  

Therefore,

The perimeter of the pond is 2.92 meters.

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The complete Question is given below

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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Answer:

A) \(\displaystyle y=\left \{ {{x^3-4,\,x\leq 1} \atop {x^2-3,\,x > 1}} \right.\)

Step-by-step explanation:

The first "piece" of the piecewise function, \(y=x^3-4\), contains \(x=1\) because of the closed dot there.

The second "piece" of the piecewise function, \(y=x^2-3\), doesn't contain \(x=1\) because of the open dot there.

What occurs between the two pieces is called a jump discontinuity.

Therefore, A is the correct answer.

Answer:

113.1

Step-by-step explanation:

The way to find the circle's area is A=πr^2:

The radius is diameter/2, so the radius is 12/2, which is 6

Therefore, A=3.14*6^2 ≈ 113.09734

Now to round to the nearest tenth, it would be 113.1, the final answer.

Answer:

x=3

Step-by-step explanation:

Hey there!

In order to solve this equation, we must first distribute the 3

3x + 9 = -4x + 30

Now we combine like terms

7x = 21

Then we divide both sides by 7 to get x by itself

x = 21/7

x = 3

Answer: x=3

Step-by-step explanation:

To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.

3(x+3)=-4x+30                 [distribute]

3x+9=-4x+30                    [add both sides by 4x]

7x+9=30                            [subtract both sides by 9]

7x=21                                 [divide both sides by 7]

x=3

Therefore, we get x=3.

Answer:

always 3 by 3 is the factor by 3 so 6

Answer:

Well in order to solve these you can convert them into improper fractions.

So 11/5 + 11/6

Now to find the CM or someone multiple

So 5 and 6 have a common multiple of 30

So

66/30 + 55/30= 121/30

Now in mixed form

4 1/30

Answer:

4 1/30

Step-by-step explanation:

6/30+25/30 --> 6+25=31 --> 31/30

2+1=3

3+31/30=3 31/30= 4 1/30

Answer:

Graph II

Step-by-step explanation:

graph Ii is the answer

18.9% is the answer

Step-by-step explanation:

volume of a cylinder = πd²/4 x h

where d is diameter and h is height of cylinder.

thus

vol of A is

\(vol \: of \: a \: = \pi \times \frac{ {d}^{2} }{4} \times h \\ = \pi \times \frac{ {16}^{2} }{4} \times 19 \\ = \pi \times 4 \times 16 \times 19 \\ = 3818.24\)

and

\(vol \: of \: b = \pi \times \frac{ {20}^{2} }{4} \times 15 \\ = \pi \times 5 \times 20 \times 15 \\ = 4710\)

difference in vol of a and b is

\(diff \: = vol \: of \: b \: - vol \: of \: a \\ = 4710 - 3818.24 \\ = 891.76\)

this volume will remain empty after container A is pumped into container B.

this volume as a percentage of total volume of B is

\(\% = \frac{diff \: vol}{total \: vol} \times 100 \\ = \frac{891.76}{4710} \times 100 \\ = 18.9\%\)

Number 1

56.5 kaings each weighing 18.75 kilograms

56.5 × 18.75 = 1059.375 kilograms

Answer : 1059.375 kilograms

Number 2 (A)

$24.25 a kilo and 18.75 kilograms for one kaings

18.75 × $24.25 = $454.6875

Answer : $454.69

Number 2 (B)

$24.25 a kilo and 1059.375 kilograms

1059.375 × $24.25 = 25 689.84

Answer : $25 689.84

Number 3

1.5 kilograms free for each kaing

18.75 - 1.5 = 17.25 kg

17.25 kg × 56.5 kaings × $18 247.21875

Answer : $18 247.22

Answer:

The second option

Step-by-step explanation:

Answer:

\(4\sqrt{7}a^3\)

Step-by-step explanation:

\(\sqrt{112a^6} \\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\\=\sqrt{112}\sqrt{a^6}\\\\=4\sqrt{7}\sqrt{a^6}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=\left(a^b\right)^c\\\\a^6=a^{3\times\:2}=\left(a^3\right)^2\\\\=4\sqrt{7}\sqrt{\left(a^3\right)^2}\\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a\\\\\sqrt{\left(a^3\right)^2}=a^3\\\\=4\sqrt{7}a^3\)

In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)

A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.

To find the value of x

Assuming \(a\neq o\)

First, subtract c from both the sides to get:

\(y-c=ax^{2}\)

then, divide both sides by \(a\) and transpose to get:

\(x^{2} =\frac{y-c}{a}\)

So, \(x\) must be a square root of \(\frac{y-c}{a}\)  and we can deduce:

\(x=\) ± \(\sqrt \frac{y-c}{a}\)

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Answer:

i think its b

Step-by-step explanation:

Answer:

Perimeter of rhombus = 4(9.7) = 38.8 cm

Area of rhombus = 4(1/2)(6.2)(7.4)

= 91.76 cm^2

Answer:

D

Step-by-step explanation:

So we have the expression:

\((6m+3)(m-2)\)

Use the distributive property and distribute:

\(=(6m+3)(m)+(6m+3)(-2)\)

Distribute:

\(=(6m^2+3m)+(-12m-6)\)

Combine like terms:

\(=6m^2+3m-12m-6\\=6m^2-9m-6\)

The correct answer is D

Edit: Typo

Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

Answer:

a

Step-bye-step explanation:

that's the correct answer

Four times a number: 4*x

Increased by five: 4*x + 5

Triple the difference of a number and two: 3*(x - 2)

Then, the equation is

4*x + 5 = 3*(x - 2)

Applying distributive property:

4*x + 5 = 3*x - 3*2

4*x + 5 = 3*x - 6

3*x is adding on the right, then it will subtract on the left

5 is adding on the left, then it will subtract on the right

4*x - 3*x = - 6 - 5

x = -11

Answer:

Subtract

1

1

1

from both sides of the equation

2

+

1

=

1

1

2

+

1

−

1

=

1

1

−

1

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

tienes que quitar 1 de 1 y 11 y te quedas con 10, despues divides 10 con 2x y tienes 5.