A punch bowl contained 2 liters of soda, 1 liter of orange juice,
and 1 liter of raspberry juice.
Select the statements that are true.
The ratio of the entire punch bowl to the juices is 2 to 4.
The ratio of the orange juice to the raspberry juice is 1 to 1.
The ratio of the entire punch bowl to soda is 4 to 2.
The ratio of soda to the entire punch bowl is 1 to 4.
The ratio of orange juice to soda is 2 to 1.

Answer: True.

A diameter is a line that goes across the whole circle and passes by the center.

A chord is any line segment that connects two points on the circumference.

Since the diameter is a line from one opposite end of the circle to the other, it is connect two points on the circumference, thus it is a chord.

Step-by-step explanation:

Answer:

A: 5.33 x 10∧5 and B.3.4 × 10-3

Step-by-step explanation:

Answer:

533,000,327.5 and o.oo34

Answer:

(1 - 4x)³

Step-by-step explanation:

The first 2 terms are a difference of cubes and factor in general as

a³ - b³ = (a - b)(a² + ab + b²), thus

1 - 64x³

= 1³ - (4x)³

= (1 - 4x)(1 + 4x + 16x²)

Thus

1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms

= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)

= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms

= (1 - 4x)(1 + 4x + 16x² - 12x)

= (1 - 4x)(1 - 8x + 16x²) ← perfect square

= (1 - 4x)(1 - 4x)²

= (1 - 4x)³  ← in factored form

The intensity of excercise increases the heart rate, that is, more intensity the excersice, greater the heart rate.

It means that there is a positive correlation between int

0.10416666666

I just used calculator lol

Answer:

0.10416666666

Step-by-step explanation:

The vibrational partition function of HCN at 900 K is 3.319.

To calculate the vibrational partition function (Qvib) of HCN at 900 K, we first need to calculate the vibrational energies of each mode:

The vibrational energy of each mode is given by:

E(v) = (v + 1/2) × h × nu

where v is the vibrational quantum number, h is Planck's constant (6.626 x 10^-34 J s), and nu is the frequency in cm^-1.

For the symmetric stretch mode, nu = 3311 cm^-1:

E(v) = (v + 1/2) × h × nu = (0 + 1/2) × 6.626 x 10^-34 J s × 3311 cm^-1 = 1.096 x 10^-20 J

For the two bend modes, nu = 937 cm^-1:

E(v) = (v + 1/2) × h × nu = (0 + 1/2) × 6.626 x 10^-34 J s × 937 cm^-1 = 3.108 x 10^-21 J

Therefore, the total energy of both bend modes is 2 * E(v) = 6.216 x 10^-21 J

For the asymmetric stretch mode, nu = 2097 cm^-1:

E(v) = (v + 1/2) × h × nu = (0 + 1/2) × 6.626 x 10^-34 J s × 2097 cm^-1 = 6.933 x 10^-21 J

Now we can calculate the vibrational partition function as the sum of the individual contributions:

Qvib = exp(-E(0)/(kT)) + exp(-E(1)/(kT)) + exp(-E(2)/(kT)) + ...

where k is the Boltzmann constant (1.38 x 10^-23 J/K) and T is the temperature in Kelvin.

At 900 K, we have:

Qvib = exp(-E(0)/(kT)) + exp(-E(1)/(kT)) + exp(-E(2)/(kT))

= exp(-(1.096 x 10^-20 J)/(1.38 x 10^-23 J/K × 900 K)) + exp(-(3.108 x 10^-21 J)/(1.38 x 10^-23 J/K × 900 K)) + exp(-(6.933 x 10^-21 J)/(1.38 x 10^-23 J/K × 900 K))

= 1.249 + 1.060 + 1.010

= 3.319

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The Roman numeral number I means the number "1".

In roman numerals, the counting is represented by using the basic English alphabets in the Upper Case.

The roman numeral I means the number "1". For representing 10 we use "X".

When we have to write 1, 2, 3 we use I, II, III respectively and when we use want to show 5 we use "V" in roman numerals. More English letters like L, C etc. are also used to depicts certain other big numbers in the roman numbers. It is to be noted that one alphabet cannot be used more than three times in an number.

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Step-by-step explanation:

\(lcm \: = 21(7 \times 3) \\ \frac{4 \times 3}{7 \times 3} + \frac{1 \times 7}{ 3 \times 7} \\ simplify \\ \frac{12}{21} + \frac{7}{21} \\ \\ \frac{12 + 7}{21} \\ \\ \frac{19}{21} \\ answer \: \frac{19}{21} \)

Answer:

4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place. Step-by-step explanation: 1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.

The pattern is multiply by 2 and add 3. The next number would be 109.

Answer:

Step-by-step explanation:

Here's how you can find the length of the longer diagonal of a rhombus with sides of length 8 m and a shorter diagonal of length 10 m:

Step 1: Draw a diagram of the rhombus with the shorter diagonal labeled as 10 m.

Step 2: Draw a perpendicular bisector from one corner of the rhombus to the opposite corner, dividing the rhombus into two congruent right triangles.

Step 3: Label the longer diagonal as "d".

Step 4: Since the two congruent right triangles have sides that are half the length of the sides of the rhombus, the hypotenuse of each triangle must have length 4 m.

Step 5: Using the Pythagorean theorem, we can find the length of the other side of each triangle:

a^2 + b^2 = c^2

4^2 + b^2 = 10^2

16 + b^2 = 100

b^2 = 84

b = √84 = 2√21

Step 6: Now that we know the length of one side of each triangle, we can use it to find the length of the longer diagonal:

d^2 = 4^2 + (2√21)^2

d^2 = 16 + 168

d^2 = 184

d = √184 = 2√23

So, the length of the longer diagonal of the rhombus is 2√23 m.

Answer:

x=7

Step-by-step explanation:

t(x) = 7x, t(x) = 49

Due to the transitive property, you can say that

7x=49

divide both sides by 7

x=7

Hope it helped!

Answer:

Step-by-step explanation:

7

49/7=7

Answer:

The maximum height of the sign is 3.6 inches.

Step-by-step explanation:

To obtain the maximum height of the sign, we need to understand the relationship between the eccentricity and the dimensions of an ellipse.

The eccentricity of an ellipse measures how elongated or stretched the ellipse is. It is defined as the ratio of the distance between the foci of the ellipse to the length of the major axis.In this case, the eccentricity is given as 0.60, which means the distance between the foci is 0.60 times the length of the major axis.

The length of the major axis is 36 inches, we can calculate the distance between the foci:

Distance between foci = eccentricity * length of major axis

Distance between foci = 0.60 * 36 inches

Distance between foci = 21.6 inches

Now, to obtain the maximum height of the sign, we need to consider that the distance from the center of the ellipse to the highest point (vertex) is equal to the distance from the center to one focus.

The maximum height of the sign is half the length of the minor axis, and it can be calculated using the formula:

Height = 0.5 * (length of major axis - 2 * distance between foci)

Height = 0.5 * (36 inches - 2 * 21.6 inches)

Height = 0.5 * (36 inches - 43.2 inches)

Height = 0.5 * (-7.2 inches)

Height = -3.6 inches

However, negative height does not make sense in this context, so we take the absolute value of the height:

Absolute Height = |-3.6 inches

Absolute Height = 3.6 inches

Therefore, the maximum height of the sign is 3.6 inches.

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Answer:

1/2(8 + x)

Step-by-step explanation:

In this statement, it tells us to add 8 and x and then multiply that with 1/2.

I'm going to state what I think that the functions were and then answer:

a. \(f(x)=5x^4\) is not exponential.  The variable is not an exponent.

b. \(g(x)=5(17)^x\) IS.  The variable IS an exponent.

c. \(h(x) =11x\) is not.  But if you meant \(h(x)=11^x\) then it is.  Is the variable an exponent?  If so, then the answer is yes.

d. \(j(x)=6(2.56)^x\) IS, assuming again that the variable is an exponent.

e \(k(x) = 4(6)^x\) IS, assuming again that the variable is an exponent.

Now, if any of the x's I wrote as exponents are not exponents, then those are not exponential functions.

Answer:

b

Step-by-step explanation:

The area of the mean for a unformly distribution is gievn below

Given that a is the minimum or lowest value and b is the maximum or highest value

From the question given,

a= 0; b=4.1

The mean of this distribution is as shown below

Hence the mean of this distribution is 2.05

The standard deviation of the uniformly distribution is given by the formula below:

The standard deviation is as shown below:

Hence, the standard deviation is 1.1836 to the nearest 4 decimal place

The probability of exactly 2.6 is 0. This is because the probability of finding an exact number of a uniform distribution is 0

c. The probability that the round off error for a jumper's distance is exactly 2.6 is

P(x = 2.6) = 0

The probability that the round off error for the distance that a long jumper has jumped is

between 0.7 and 1.2 mm P(0.7 <3 <1.2) is as shown below:

between 0.7 and 1.2 mm P(0.7 <3 <1.2) is 0.1220 correct to four decimal place

The probability that the jump's round off error is greater than 2.72 is P(x > 2.72). This can be solved as shown below

e. Hence, the probability that the jump's round off error is greater than 2.72 is P(x > 2.72) = 0.3366

P(x > 1.7 x > 0.7) is as shown below:

f. Hence, P(x > 1.7 / x > 0.7) = 0.7059 correct to 4 decimal place

The 43rd percentile is

g. Hence, the 43rd percile is 1.763

The minimum for the upper quarter is as shown below

h. Hence, the minimum for the upper quarter is 3.075

The answer to the question is 10

Answer:

Step-by-step explanation:

To simplify the expression, open the brackets to obtain your result.

Hence, the result is 10.

A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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Interactive visualizations are expanding the possibilities of data displays as many of them allow users to adapt data displays to personal needs.

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D). There is at least one row of the coefficient matrix that does not have a pivot position. is the correct option. Since there is at least one row of the coefficient matrix that does not have a pivot position, the system is consistent.

This means the augmented matrix, which will have the form 0 000 0 o 0 0so the system is consistent. nine columns, could have a row of the form 0 0 o o o 0 0 0 1so the system could be inconsistent.What is a consistent system?A consistent system of equations has at least one solution. This means that the system is solvable, and there is a unique solution, no solution, or infinitely many solutions.

However, for a system of linear equations to be consistent, the rank of the coefficient matrix should be equal to the rank of the augmented matrix.What is a pivot position?A pivot position is a position in the coefficient matrix in a system of equations that contains the leading coefficient (the first non-zero entry in a row). These pivot positions indicate that a row has a leading coefficient, which means that the row is a pivot row and is used to solve a system of equations.

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Answer:

$3.30

Step-by-step explanation:

66 times 0.05

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

To find the tangential and normal components of the acceleration vector, we need the velocity vector and the curvature of the path. The tangential component of acceleration (at) represents the change in speed or direction along the path. It is given by the derivative of the velocity vector with respect to time. The normal component of acceleration (an) represents the change in direction perpendicular to the path. It is given by the curvature of the path multiplied by the square of the speed.

In mathematical terms:

at = dV/dt

an = (V^2) / R

where:

V is the velocity vector

t is time

R is the radius of curvature of the path.

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

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Step-by-step explanation:

3a(2a+6b)

3a×2a+3a×6b

6a²+18ab

Answer: 60

Step-by-step explanation:

You have to use Pythagorean Theorem because the other side is not listed of the triangle

Pythagorean Theorem: a² + b² = c²

a²  + 20²  = 25²

a²  + 400 = 625

625-400 = a²

a²  = 225

Find the square root of 225 to find the missing length

\(\sqrt{225}\) = 15 (this is the missing length for QS

To find the perimeter, add all the sides...

15 + 20 +25 = 60

Answer  

it represents a sphere

Step-by-step explanation:

Answer: It would be a cone because the light goes into a triangle cone shape the farther you point it. It does not make a sphere

Step-by-step explanation:

Answer:

the simplest form of 15/20 is 3/4

Scatterplot: We can see that there is a linear relationship between length of courtship and length of marriage. The higher the courtship the longer the marriage.

A scatter chart is a graphical or mathematical plot for data that uses Cartesian coordinates to display the results of two variables, usually. An additional difference may occur if the content is encoded. The data is displayed as a collection of points, and at each point the value of one variable increases to determine the position on the horizontal axis, and the value among other variables determines the position of the vertical axis.

Scatter plots can be used when one continuous variable is under the experimenter's control and the other is independent of it, or when both continuous variables are independent. If there are increasing and/or decreasing processes, they are called uncontrolled or independent variables and are usually plotted along the horizontal axis. The index or dependent variable is usually plotted along the vertical axis. If there is no difference, you can plot the two variables on two axes, and the scatter plot shows the relationship (not the reason) between the two variables.

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Answer:

1) d

2) a

3) c

4) b

Step-by-step explanation: