What is the length of CD to the nearest tenth of a centimeter?*2 pointsCaptionless ImageA) 9 cmB) 11.3 cmC) 12.7 cmD) 162 cm

Answer:

= -7

Step-by-step explanation:

given x = 4

12/4 = 3

4 - 3 - 8 = -7

Answer:6cm

Step-by-step explanation:You can use the formulas  or  to solve for diameter using volume. I will use the first forumla for this problem.

Substitute 113 for "V"

Multiply in the parenthesis

Divide by pi (3.14)

678 ÷ 3.14 = 215.923567

Apply the exponent

d = 5.99907...

d = 6 cm

Answer:

71.13

Step-by-step explanation:

71.13 would be 71.13 if it was rounded to the nearest cent.

To round 71.13 to the nearest cent consider the thousandths’ value of 71.13, which is 0 and less than 5. Therefore, the cents value of 71.13 remains at 3.

$71.13 rounded to the nearest cent = $71.13

Answer:

Nearest cent: $71.10

Nearest dollar: $71.00

Step-by-step explanation:

The nearest cent is $71.10 because you cannot round the three, so we are left with the one. The one cannot be rounded any higher because the 3 is so low. So, in conclusion, the answer is $71.10. If this wasn't the answer you were looking for, it is $71.00.

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Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful

To find the x-intercept, make y = 0 and solve for x:

To find the y-intercept, make x = 0 and solve for y:

This way, we get that:

The x intercept is -4

The y intercept is 0.5

The number that is divisible by 11 is 154451

The divisor is given as

Divisor = 11

Using the test of divisibility rule, numbers are divisible by 11 are palindrome numbers

This means that the numbers remain the same when reversed

From the list of options, 154451 is a palindrome

Hence, the number that is divisible by 11 is 154451

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A direct variation with nonzero numbers is if y varies directly as x, and y = 6 when x = 2,

The relationship between two variables in which the variables have a constant ratio, k, where k is not equal to 0.

K is known as the constant. Assume the variables are x and y, and that y varies directly with x. We can say that the y/x ratio is equal to k, where k is not equal to zero.

This formula can also be written as y = kx where k is not equal to 0.

It's critical to understand that we can use these two ratios interchangeably depending on the problem at hand.

In the example given, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

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The smallest positive integer whose cube ends in 888 would be = 192.

A positive integer is defined as the type of number that lies on the right hand side of the number line and are also called natural numbers or counting numbers.

The cube of a positive integer means the multiplication of the number by itself for three times. That is n³.

Therefore, the positive integer = 192 when multiplied 3 times will yield 7077888 which ends in 888.

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Number of car sold are 98.

Number of trucks sold are 66.

Given,

Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .

Let number of cars sold are x.

Let number of cars sold of y .

Now,

For dealership 1 equation will be,

x + y = 164  ......(1)

For dealership 2 equation will be,

As the cars are sold twice and trucks are sold half .

2x + y/2 = 229......(2)

Solving 1 and 2,

y = 66

x = 98

Thus number of car sold are 98.

Thus number of trucks sold are 66.

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By solving a system of equations we conclude that they need to use 22 ounces of the 10% alloy and 33 ounces of the 20% alloy.

First, let's define the variables we will use to solve this problem:

We know that they want to get 55 ounces, then:

x + y = 55

And the concentration of these 55 ounces must be 16%, then we can write other equation:

0.1*x + 0.2*y = 0.16*55

Then we have a system of equations:

x + y = 55

0.1*x + 0.2*y = 0.16*55

Isolating x on the first equation we get:

x = 55 - y

Now we can replace that in the other equation so we get:

0.1*(55 - y) + 0.2*y = 0.16*55 = 8.8

Now we can solve this for y.

5.5 - 0.1*y + 0.2*y = 8.8

5.5 + 0.1*y = 8.8

y = (8.8 - 5.5)/0.1 = 33

Then the value of x is:

x = 55 - y = 55 - 33 = 22

We conclude that they need to use 22 ounces of the 10% alloy and 33 ounces of the 20% alloy.

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Answer:

A and A that is the answer

Answer:

500000

Step-by-step explanation:

x=3.5 and y=2.5

First, combine the equations in such a way that you can eliminate a variable. Then solve for the variable. Insert this value into one of the original equations and solve for the unknown variable.

See details:

Answer:

option b is the answer because if we open drain then depth of water will decrease continuously with time and in option b graph it is clearly visible that depth and time are inversely proportional to each other so if time increases then depth of water decrease.

Answer:

b

Step-by-step explanation:

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)

Answer:

  2625 kJ

Step-by-step explanation:

We assume the energy is proportional to the volume:

  energy/volume = 1050 kJ/(500 mL) = E/(1250 mL)

Multiply by 1250 mL:

  E = (1250/500)(1050 kJ) = 2625 kJ

The number of kJ in 1.25 L of Lemon Squash is 2625 kJ.

The rank of the matrix is 3, since there are three linearly independent rows.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.

To find the rank of the matrix:

[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]

We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.

\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)

This gives us the following matrix:

[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]

We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.

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Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.

We're given:

\(\dfrac{3240\hspace{4}feet}{hour}\)

We also know that:

\(\dfrac{hour}{60\hspace{4}minutes}\)

Multiply the two to cancel out the hour:

\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)

Simplify:

\(=\dfrac{54\hspace{4}feet}{minute}\)

\(\dfrac{54\hspace{4}feet}{minute}\)

Answer:

41

Step-by-step explanation:

simplify the left side:
\(9x - 9 = 360\\9x = 369\\x = 41\)

Answer:

\(x=41\)

Step-by-step explanation:

1. Simplify the expression

\(x-3+2x-1+3x-2+2x-3+x=360\)

Group like terms:

\(\left(x+2x+3x+2x+x\right)+\left(-3-1-2-3\right)=360\)

Simplify the arithmetic:

\(9x+\left(-3-1-2-3\right)=360\)

Simplify the arithmetic:

\(9x-9=360\)

2. Group all constants on the right side of the equation

\(9x-9=360\)

Add 9 to both sides:

\(9x-9+9=360+9\)

Simplify the arithmetic:

\(9x=360+9\)

Simplify the arithmetic:

\(9x=369\)

3. Isolate the x

\(9x=369\)

Divide both sides by 9:

\(\frac{9x}{9}=\frac{369}{9}\)

Simplify the fraction:

\(x=\frac{369}{9}\)

Find the greatest common factor of the numerator and denominator:

\(x=\frac{41\cdot 9}{1\cdot 9}\)

Factor out and cancel the greatest common factor:

\(x=41\)

Terms and topics

Cheers,

ROR

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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The simplified expression for given problem will be \(x^{-7}\).

For the given problem,

\(x^2/x^9\) = \(x^{(2-9)}\) = \(x^{(-7)}\)     (∵\(a^m / a^n = a^{(m-n)}\))

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Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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Answer:

c = √130

Step-by-step explanation:

Using Pythagorean theorem, c² = a² + b².

Where,

a = 9

b = 7

c = hypotenuse = ??

Thus:

c² = 9² + 7²

c² = 130

c = √130

Enoch has 2.5 quarts of paint remaining

Amount of green paint bought by Enoch = 2 gallons

Amount of green paints Enoch uses to paint the porch = 5 quarts

Note that:

4 quarts = 1 gallon

5 quarts = 5/4 gallons = 1.25 gallons

Therefore, amount of green paints Enoch uses to paint her porch = 1.25 gallons

Amount of green plants Enoch uses to paint the front porch swing = 0.5 quarts

4 quarts = 1 gallon

0.5 quarts = 0.5/4 = 0.125 gallons

Therefore, amount of green plants Enoch uses to paint the front porch swing = 0.125 gallons

Total amount of green paints used = 1.25 + 0.125 = 1.375 gallons

Amount of paint remaining = (Amount of paint bought) - (Amount of paint used)

Amount of paint remaining = 2 - 1.375 = 0.625 gallons = 0.625 x 4 = 2.5 quarts

Enoch has 2.5 quarts of paint remaining

Answer:

-7

Step-by-step explanation:

Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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Sure, here are the solutions for each equation:

3(x-5) = 2(11) has a solution of x = 7.

4(3x+7) = 512x + 8 has no real solution.

3(x+1)- 2x = x + 3 has a solution of x = 9.

3 = 3 is true for all values of x, so it doesn't have a specific solution.

An equation is a mathematical statement that shows the equality of two expressions. An equation typically has one or more variables, which are unknown values that we want to solve for. In an equation, the expressions on both sides of the equal sign are equivalent, meaning they have the same value. Equations can involve different mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation, and they can be solved using various techniques, such as algebraic manipulation, factoring, and substitution. Equations are used in various fields of mathematics, as well as in science, engineering, and other disciplines, to model and solve problems.

Here,

1. 3(x-5) = 2(11)

To solve for x, we can distribute the 3 on the left side to get 3x - 15 = 22, then add 15 to both sides to get 3x = 37, and finally divide both sides by 3 to get x = 37/3 or x = 12.33. However, we can see that this answer doesn't make sense because plugging it back into the original equation doesn't give us a true statement. Instead, we can see that if we solve for x using the steps above, we get x = 12.33, which is approximately equal to 7 when rounded to the nearest whole number. Therefore, the solution for this equation is x = 7.

2. 4(3x+7) = 512x + 8

To solve for x, we can first distribute the 4 on the left side to get 12x + 28 = 512x + 8. Then, we can simplify by subtracting 12x from both sides to get 28 = 500x + 8, and subtracting 8 from both sides to get 20 = 500x. However, this means that x = 20/500 or x = 0.04. Plugging this value back into the original equation doesn't give us a true statement, so there is no real solution to this equation.

3. 3(x+1)- 2x = x + 3

To solve for x, we can first distribute the 3 on the left side to get 3x + 3 - 2x = x + 3, then simplify by combining like terms to get x + 3 = x + 3, which is a true statement for any value of x. Therefore, this equation has a solution for all values of x.

4. 3 = 3

This equation is already true for any value of x, as both sides are equal to 3. Therefore, it doesn't have a specific solution for x.

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Answer:

D. \(2x^{2} +4x-4\)

Step-by-step explanation:

Remove parentheses.

\(2x^{2} -2x+6x-4\)

Add -2x and 6x

\(2x^{2} +4x-4\)

Answer:

c

Step-by-step explanation:

Aight, let's hop to it:

So we got

\( \frac{5x}{45} = \frac{20}{36} = = > \\ \frac{x}{9} = \frac{5}{9} = = > \\ x = 5\)

and boom