Assume that x is a variable that has been declared as a double and been given a value. Write an expression to compute the quartic root of x. The quartic root of a number is the square root of its square root. EXAMPLES: For example, the quartic root of 16.0 is 2.0 because: the square root of 16.0 is 4.0 and the square root of 4.0 is 2.0. Another example: the quartic root of 81.0 is 3.0 because the square root of 81.0 is 9.0 and the square root of 9.0 is 3.0. Thus, to find the quartic root of a number you take the square root of the number and then take the square root of that. In this exercise you must find the quartic root of x in a single expression-- you must not write any statements. Also, you may only use the sqrt() static method defined in the Math class-- no other methods. (HINT: you will need to call the Math.sqrt() method twice-- and you will need to pass the return value of one of those calls as argument to the other call. AND REMEMBER: write an expression, not a statement.)

Answer:

[tex]\large\boxed{M+T=-15r^2+2r+8}[/tex]

Step-by-step explanation:

[tex]M=-8r^2+11r-6\\T=-7r^2-9r+14\\\\M+T=?\\\\\text{Substitute:}\\\\M+T=(-8r^2+11r-6)+(-7r^2-9r+14)\\\\M+T=-8r^2+11r-6-7r^2-9r+14\qquad\text{combine like terms}\\\\M+T=(-8r^2-7r^2)+(11r-9r)+(-6+14)\\\\M+T=-15r^2+2r+8[/tex]

The expression that represents M + T is -15r^2 + 2r + 8

The equations for M and T are given as:

[tex]M=-8r^2 +11r -6[/tex]

[tex]T=-7r^2-9r+14[/tex]

The sum of M and T is represented as: M + T

This is then calculated as:

[tex]M+T=-8r^2 +11r -6-7r^2-9r+14[/tex]

Collect like terms

[tex]M+T=-8r^2 -7r^2+11r -9r-6+14[/tex]

Evaluate the like terms

[tex]M + T = -15r^2 + 2r + 8[/tex]

Hence, the expression that represents M + T is -15r^2 + 2r + 8

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Answer:should be A

Step-by-step explanation:

I dunno

Answer:

it is A i just did it and i got it right so please trust me it is A

Step-by-step explanation:

Answer:

The length is [tex]15\ ft[/tex]

The width is [tex]12\ ft[/tex]

Step-by-step explanation:

we know that

The area of rectangle is equal to

[tex]A=LW[/tex]

we have

[tex]A=180\ ft^{2}[/tex]

so

[tex]180=LW[/tex] -----> equation A

[tex]W=L-3[/tex] ------> equation B

substitute equation B in equation A and solve for L

[tex]180=L(L-3)[/tex]

[tex]180=L^{2}-3L[/tex]

[tex]L^{2}-3L-180=0[/tex]

using a graphing tool------> solve the quadratic equation

The solution is [tex]L=15\ ft[/tex]

see the attached figure

Find the value of W

[tex]W=15-3=12\ ft[/tex]

To find the dimensions of the rectangle given its area, we set up an equation using the length and width of the rectangle. Solving the equation will give us the dimensions. In this case, the length of the rectangle is 15 feet and the width is 12 feet.

To find the dimensions of the rectangle, let's assume the length of the rectangle is L feet. According to the problem, the width is 3 feet less than the length, so the width would be L - 3 feet. The area of the rectangle is given as 180 square feet, so we can set up the equation: L * (L - 3) = 180. Solving this equation will give us the dimensions of the rectangle.

Multiplying the binomials, we get L^2 - 3L = 180. Rearranging the equation, we have L^2 - 3L - 180 = 0. This is a quadratic equation that can be factored. Factoring, we have (L - 15)(L + 12) = 0. We can now solve for L by setting each factor equal to zero: L - 15 = 0 or L + 12 = 0. This gives us two possible solutions for L: L = 15 or L = -12.

Since we cannot have negative dimensions for a rectangle, we discard the negative solution. Therefore, the length of the rectangle is 15 feet. The width can be found by substituting this value back into the equation: Width = 15 - 3 = 12 feet. So, the dimensions of the rectangle are 15 feet by 12 feet.

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Answer:

A) 0.5000; B) 0.9772; C) 0.9772; D) 0.8185; E) 0.9932; F) 1.0000

Step-by-step explanation:

For each of these, we will use a z score.  The formula for a z score is:

[tex]x=\frac{X-\mu}{\sigma}[/tex]

A) Our X is 5, our mean is 5 and our standard deviation is 0.2:

z = (5-5)/(0.2) = 0/0.2 = 0

Using a z table, the value to the left of this, less than, is 0.5000; this means the area to the right of this, greater than, is 1-0.5000 = 0.5000.

B) Our X is 5.4, the mean is 5 and the standard deviation is 0.2:

z = (5.4-5)/0.2 = 0.4/0.2 = 2

Using a z table, the value to the left of this, less than, is 0.9772.

C) The probability for this will be the same as for B; there is no distinction between "less than" and "less than or equal to" in z tables.

D) We find the z score for each of the endpoints of this interval, find the probabilities and subtract them:

z = (4.6-5)/0.2 = -0.4/0.2 = -2; the probability is 0.0228.

z = (5.2-5)/0.2 = 0.2/0.2 = 1; the probability is 0.8413.

The area between them is 0.8413-0.0228 = 0.8185.

E) X is 4.5, the mean is 5 and the standard deviation is 0.2:

z = (4.5-5)/0.2 = -0.5/0.2 = -2.5; the probability less than this is 0.0062.  This means the probability greater than this is 1-0.0062 = 0.9938.

F) X is 4, the mean is 5 and the standard deviation is 0.2:

z = (4-5)/0.2 = -1/0.2 = -5.  Everything in the z table is larger than this, so the probability is 1.000.

Answer:

The measure of arc KL is [tex]145\°[/tex]

Step-by-step explanation:

we know that

[tex]arc\ JK=arc\ KL=x\°[/tex]

so

[tex]2x+70\°=360\°[/tex] -----> complete circle

solve for x

[tex]2x=360\°-70\°[/tex]

[tex]2x=290\°[/tex]

[tex]x=145\°[/tex]

Answer:

5/8

Step-by-step explanation:

5/8 is equal to 5 divided by 8 and your dividing 5 so all the friends can have a equal amount. every friend would also get 5/8 of a apple

Every friend would get 5/8 parts of the total apple.

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, 8 friends want to share 5 apples equally. We need to find that what fraction will each person get,

Since, we have 5 apples, which is to be distributed to 8 persons,

To find the same, we will have to, divide 5 apples equally among 8 persons,

Therefore,

If we divide 5 by 8 then the faction of 5/8 of the whole is the part that each of the 8 friends going to have,

Hence, each friend would get 5/8 parts of the total apple.

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Answer:

Choice C is correct

Step-by-step explanation:

The polar equation of the conic section is in standard form. The eccentricity is simply the coefficient of cos theta; thus e = 2

The eccentricity being more than 1 implies the conic section is a hyperbola.

To determine the directrix, divide 6 by 2 to obtain 3. The conic section opens to the left thus;

directrix; x = 3

Answer:

Choice C is correct

Answer:

The Zebra Danios!

Step-by-step explanation:

The zebra danios

4/3 is greater than 1, making it an improper fraction. Suppose that fancy guppy's length is x, the danios' length would be 4/3 x, which, since it is an improper fraction, is greater than x.

Mark me brainlest please!

I take half-credit my cousin aswell helped!

The original price of the bike helmet was $68.25, calculated by understanding that the $54.60 Kelly paid represented 80% of the original price after a 20% discount.

Kelly paid $54.60 for a bike helmet that was 20% off the original price. To find the original price of the helmet, we need to understand that the price Kelly paid is 80% of the original price, after the discount was applied. Therefore, the equation to find the original price (OP) is:

54.60 = 0.80 × OP

To solve for OP, we divide both sides of the equation by 0.80:

OP = 54.60 / 0.80

OP = $68.25

Thus, the original price of the bike helmet was $68.25.

The price and demand are inversely proportional to each other, When the price is less, the demand is higher. When the price is high, the demand is low.

So , as given, the gasoline prices has been decreased from $2.00 per gallon to $1.40 per gallon, so now the demand will increase. The quantity of gasoline that will be in demand will increase.

Answer:

The quantity of gasoline demanded will increase.

Step-by-step explanation:

We are asked to find the change in demand of gasoline, when price of gasoline decreased from $2 per gallon to $1.40.

We know that quantity of a product demanded is inversely proportional to supply of the product.

This means that an increase in price will decrease the quantity demanded, while a decrease in price will increase the demand.

Since the price of gasoline is decreased by $0.60 per gallon, therefore, the quantity of gasoline demanded will increase.

Answer:

The answer is ellipse; 23° to the nearest degree ⇒ answer (d)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

- 9x² + 4xy + 5y² - 40 = 0

∵ A = 9 , B = 4 , 5 = 5

∴ B² - 4 AC = (4)² - 4(9)(5) = -164 < 0

∴ B² - 4AC < 0

∴ If a conic exists, it will be either a circle or an ellipse.

* To find the type of the graph lets check;

- If A and C are nonzero, have the same sign, and are not

 equal to each other, then the graph is an ellipse.

- If A and C are equal and nonzero and have the same

 sign, then the graph is a circle.

∵ A and C have same signs and are not equal

∴ The graph is an ellipse

* If we have term xy ⇒ B ≠ 0

∴ The graph is rotate by angle Ф

* To find the angle of rotation use the rule:

- cot(2Ф) = (A - C)/B

∵ A = 9 , B = 4 , C = 5

∴ cot(2Ф) = (9 - 5)/4 = 4/4 = 1

∴ tan(2Ф) = 1

∴ 2Ф = 45°

∴ Ф = 22.5° ≅ 23° to the nearest degree

* The answer is ellipse; with angle of rotation = 23°

Answer:

8

Step-by-step explanation:

Given in the question a logarithm expression

[tex]125^(log_{5}2)[/tex]

We will use Exponent of Log Rule

[tex]b^(log_{b}k) = k[/tex]

here b = 5

         k = 2

Suppose

[tex]125^(log_{5}2) = x[/tex]

take cube root on both sides of this equation

[tex]\sqrt[ 3]{(125^(log_{5}2)}=\sqrt[3]{x}[/tex]

[tex]\sqrt[3]{(125)} ^(log_{5}2)=\sqrt[3]{x}[/tex]

[tex]5^(log_{5}2)}=\sqrt[3]{x}[/tex]

Now according to the rule

2 = ∛x

to remove cube root take cube on both side

x = 8

so [tex]125^(log_{5}2 )[/tex] = 8

Answer: 40

Step-by-step explanation:

second train leaves 40 minutes after

Answer:

c. 105 yd^2.

Step-by-step explanation:

First find the slant height (h) of each of the triangular walls:

tan 60 = h /  3.1

h = 3.1 tan 60

= 5.369 yds.

Area of each side = 3.1* 5.369

= 16.645

Total surface area of the pyramid

= 4 * 16.645 + 6.2^2

= 105.02 yd^2.

Answer:

168 minutes, or 2 hours, 48 minutes

Step-by-step explanation:

Set up a proportion and solve.

56 minutes is to 4 tires as 'x' minutes are to 12 tires

becomes

56/4 = x/12         solve for x...

[56(12)]/4 = x            (multiply both sides by 12 to get rid of the fraction)

672/4 = x                 (simplify  52(12) = 672)

168 = x                      (simplify 672/4 = 168)          

Answer:

D

Step-by-step explanation:

An equivalent expression is an expression which is equal to −(4 + 3i) + (2 + 2i). You can expand or simplify an expression to make an equivalent expression. Combine like terms - constants with constants and imaginary with imaginary - to simplify.

−(4 + 3i) + (2 + 2i) = -4 + 2 -3i + 2i = -2 - i

Answer:

B

Step-by-step explanation:

A transformation of T(a,b) in the equation would give this form:

[tex](x-a)^2+(y-b)^2=8[/tex]

So, T(4,3) means translation of 4 units in x and 3 units in y. Thus, we can write:

[tex](x-4)^2+(y-3)^2=8[/tex]

Expanding and rearranging, we get:

[tex](x-4)^2-(y-3)^2-8=0\\x^2-8y+16-y^2+6y-9-8=0\\x^2-y^2-8x+6y-1=0[/tex]

Answer choice B is right.

Answer:

B

x^2-y^2-8x+6y-1=0

HERE'S HOW TO DO IT :)

A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles.

To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.

(SEE EXAMPLE ATTACHED)

HERES WHAT WE KNOW ABOUT COMPOSITE FIGURES:

Composite Figures. A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape). For example, figure ABCD is a composite figure as it consists of two basic figures

let me know if i can help more :)

See the attached picture for the answers:

i think the answer to this problem is49

Answer:

The volume of this right rectangular prism is 49 Cubic feet.

Step-by-step explanation:

Here, the data is given

Lenght (l) = 7 feet

Widht (b) = 2 feet

Height (h) = 3.5 feet

Now, The Volume of rectangular prism

= l × b × h

= 7 × 2 × 3.5 feet

= 7 × 7 feet

= 49 cubic feet

Thus, The volume of this right rectangular prism is 49 Cubic feet.

-TheUnknownScientist

Answer:

11/6 or decimal 1.8333... + 4.9 = 6.733333....

Step-by-step explanation:

Simplify the following:

(3 + 2/3)/2

Express 4/6 in its lowest form by cancelling out gcd(4, 6) = 2 from the numerator and denominator. 4/6 = (2×2)/(2×3) = 2/3:

(2/3 + 3)/2

Put 3 + 2/3 over the common denominator 3. 3 + 2/3 = (3×3)/3 + 2/3:

((3×3)/3 + 2/3)/2

3×3 = 9:

(9/3 + 2/3)/2

9/3 + 2/3 = (9 + 2)/3:

((9 + 2)/3)/2

9 + 2 = 11:

(11/3)/2

11/3×1/2 = 11/(3×2):

11/(3×2)

3×2 = 6:

Answer:  11/6 or decimal 1.8333... + 4.9 = 6.733333....

Answer:

Step-by-step explanation:

In a parallelogram opposite angles are congruent. Therefore we have the equation:

10y - 29 = 7y +19               add 29 to both sides

10y = 7y + 48               subtract 7y from both sides

3y = 48              divide both sides by 3

y = 16

Answer:

4 out of 22 = 4/22

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

This function g(x) = 3(4^x) - 5 is an exponential function since it has a variable as an exponent. It has a initial value of 3 and a multiplicative rate of change of 4. The function itself when x = 0 is y = -2.

Answer:

Step-by-step explanation:

Answer: Third option

Step-by-step explanation:

You have the function:

[tex]y=3*2^x[/tex]

Then, if the value of x increases by 1, you obtain:

-Rewrite the function:

[tex]y=3*2^{(x+1)}[/tex]

-Substitute values for x into the function and observe what happen to y. Then:

x=1

[tex]y=3*2^{(1+1)}=12[/tex]

x=2

[tex]y=3*2^{(2+1)}=24[/tex]  

x=3

[tex]y=3*2^{(3+1)}=48[/tex]  

The value of y is doubled.

Answer:

C=the value of x increases by 1, the value of y will double.

Step-by-step explanation:

Answer:

The area left to build is [tex]\frac{704}{60}\ m^{2}[/tex]

Step-by-step explanation:

The question in English is

The area of a property in square meters, measures 704/5. A house is built that occupies 5/6 of the total area. Half of the remaining area is used to build a terrace, how much area is left to build?

we know that

The total area represent the fraction 6/6

A house represent the fraction 5/6 of the total area

The remaining area represent the fraction  (6/6)-(5/6)=1/6 of the total area

If half of the remaining area is used to build a terrace

then

the area of the terrace represent the fraction (1/6)/2=1/12 of the total area

therefore

The area left to build represent the fraction 1/12 of the total area

so

[tex](\frac{1}{12})\frac{704}{5} =\frac{704}{60}\ m^{2}[/tex]

Answer:

[tex]\large\boxed{\overline{QT}\cong\overline{AZ}}[/tex]

Step-by-step explanation:

[tex]\triangle QPT\cong\triangle ARZ\\\\\begin{array}{c|c}Q&A\\P&R\\T&Z\end{array}\Rightarrow\begin{array}{ccc}\overline{QP}\cong\overline{AR}\\\overline{PT}\cong\overline{RZ}\\\overline{QT}\cong\overline{AZ}\end{array}[/tex]

Answer:

First option.

Step-by-step explanation:

I drew the triangles to see it better. If two triangles are congruent the sides and the angles have the same length. Also, the order of the vertex is important. I put them as it is enunciated. So, watching the image the congruent sides are:

QT and AZ

QP and AR

PT and RZ

Then, the correct option is the first one.

Answer:

Expression is 12 - [tex]\frac{12}{z}[/tex].

Step-by-step explanation:

Given  : "12 less than the quotient of 12 and a number z."

To find : Write an algebraic expression .

Solution : We have given 12 less than the quotient of 12 and a number z."

According to question :

Let the quotient = Q

quotient of 12 and a number z.

quotient = [tex]\frac{12}{z}[/tex].

12 less than the quotient of 12 and a number z.

12 - [tex]\frac{12}{z}[/tex].

Therefore, Expression is 12 - [tex]\frac{12}{z}[/tex].

Answer:  The correct options are

(B) [tex]x=\dfrac{11+\sqrt{61}}{2}.[/tex]

(D) [tex]x=\dfrac{11-\sqrt{61}}{2}.[/tex]

Step-by-step explanation:  We are given to select the values of x that are the roots of the following polynomial :

[tex]x^2-11x+15.[/tex]

The quadratic equation formed by the given polynomial will be

[tex]x^2-11x+15=0~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

we know that

the solution set of a quadratic equation [tex]ax^2+bx+c=0,~~a\neq 0[/tex] is given by

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}.[/tex]

From equation (i), we have

a = 1, b = -11  and  c = 15.

Therefore, the roots of equation (i) will be given by

[tex]x=\dfrac{-(-11)\pm\sqrt{(-11)^2-4\times1\times15}}{2\times1}\\\\\\\Rightarrow x=\dfrac{11\pm\sqrt{121-60}}{2}\\\\\\\Rightarrow x=\dfrac{11\pm\sqrt{61}}{2}.[/tex]

Thus, the roots of the given polynomial are

[tex]x=\dfrac{11+\sqrt{61}}{2},~~~~~x=\dfrac{11-\sqrt{61}}{2}.[/tex]

Options (B) and (D) are CORRECT.

Answer:

b and d

Step-by-step explanation: