Solve for x (9x-16) (3x+11) (7x-5)

Answer:

Part A: What percentage of the survey respondents do not like both hamburgers and burritos? (2 points)

25.6%. 54 out of 205 respondents do not like both hamburgers and burritos. 54/205 = 0.256 or 25.6%.

Part B: What is the marginal relative frequency of all customers that like hamburgers? (3 points)

50.2%. 110 out of 205 respondents like hamburgers. 110/205 = 0.502 or 50.2%.

Part C: Use the conditional relative frequencies to determine which data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)

The data point with the strongest association between its two factors is that 29 out of 110 respondents who like hamburgers also like burritos. This is a conditional relative frequency of 26.4%, which is higher than any other combination of the two factors. This suggests that the respondents who like hamburgers are more likely to also like burritos than any other combination of the two factors.

Step-by-step explanation:

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

12 Super Giant Pizzas

Step-by-step explanation:

36 ÷ 3 = 12

Answer:

Step-by-step explanation:

You will need to get 12 pizzas

Explanation:36÷3=12

Answer:

Step-by-step explanation:

5x + 7x - 1/2x + 1/4 = 6

move x to one side move numbers to the other side

5x + 7x - 1/2 x = 6 - 1/4

add x and numbers

23/2x = 23/4

divide both side by 23/2

x = (23/4)/(23/2)

  = 1/2

plug it in to check the answer

5/2 + 7/2 - 1/4 + 1/4 = 6

12/2 = 6

Answer:

1st step

Step-by-step explanation:

7/10 is greater than 1/2

Answer:

Step 1

Step-by-step explanation:

Answer:

-16x+3y

Step-by-step explanation:

sum=add

(-6x + 9y)+(-10x – 6y)

Combine like terms

-6x+(-10x)

-16x

9y+(-6y)

3y

-16x+3y

Answer:

câu này là 500 nhen

Answer:

In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no

Answer:

\(e. \: productivity\)

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

Landon is 11 years old

Step-by-step explanation:

28+5= 33

33/3= 11

since Lily is five years younger than three times his age you would have to add five. once you add five you divide by three to get Landon's age.

hope this helps!

Answer:

11

Step-by-step explanation:

3x=28+5

3x=33

x=11

Hope this helps!

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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Answer:

C: The American antelope

Step-by-step explanation:

Answer:

12 shares

Step-by-step explanation:

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Answer:

c 57

Step-by-step explanation:

Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

Answer:

a = 75°

Step-by-step explanation:

...................

Answer:

a = 75 degrees

Step-by-step explanation:

all triangles interior angles add up to 180 degrees.

2a = 180-30 = 150

a = 75 degrees

Answer:

1) B = 88°, a = 13.1, b = 26.9

2) C = 73°, a = 20.9, b = 12.6

Step-by-step explanation:

To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies B=180^{\circ}-A-C\)

\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)

\(\implies B=88^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)

\(\implies a=13.0876493...\)

\(\implies a=13.1\)

Solve for b:

\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)

\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)

\(\implies b=26.9194211...\)

\(\implies b=26.9\)

\(\hrulefill\)

Given values:

As the interior angles of a triangle sum to 180°:

\(\implies A+B+C=180^{\circ}\)

\(\implies C=180^{\circ}-A-B\)

\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)

\(\implies C=73^{\circ}\)

Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:

\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

Solve for a:

\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)

\(\implies a=20.8847511...\)

\(\implies a=20.9\)

Solve for b:

\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)

\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)

\(\implies b=12.5954671...\)

\(\implies b=12.6\)

Answer:

9.110434

Step-by-step explanation:

√83 ≈ 9.110434

Answer:

Step-by-step explanation:

We first need to figure out what the equation is for this set of circumstances before we can answer any questions. We will use the equation

which is just another form of an exponential equation where

(1 + r) is the growth rate, P is the initial investment, and t is the time in years. We will fill in the values we know first to create the equation:

which simplifies to

Now we'll just sub in a 1 for t and solve, then a 2 for t and solve.

When t = 1:

A(t) = 4000(1.11) so

A(t) = 4440

When t = 2:

which simplifies to

A(t) = 4000(1.2321) so

A(t) = 4928.40

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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Answer:

Step-by-step explanation:

4.0x10^5 x 3.0x10^3=12 x10^8= 1.2 x10^9

The required answer to the given problem is 1.20 x 10⁹ in scientific notation.

Scientific notation is a way to write very large or very small numbers. It involves expressing a number between 1 and 10 multiplied by a power of 10. To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents.

Here,
To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. Applying this rule, we get:

⇒ (4.0 x 10⁵) x (3.0 x 10³)
⇒ (4.0 x 3.0) x (10³ x 10⁵)

⇒ 12.0 x 10⁵⁺³
⇒ 12.0 x 10⁸

The coefficient 12.0 is not between 1 and 10, hence the solution is not yet in the correct scientific notation format. We must change the coefficient and exponent so that the coefficient is between 1 and 10 in order to write the solution in scientific notation. To do this, we can multiply the exponent by 1, then divide the coefficient by 10. As a result, we obtain:

12.0 x 10⁸ = 1.20 x 10⁹

Therefore, the answer is 1.20 x 10⁹ in scientific notation.

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Answer:

  23,325 ft, about 4.42 miles

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle, where the side adjacent to the 2.7° angle of climb is the horizontal distance, and the side opposite is the vertical change in altitude. That change is ...

  5600 ft -4500 ft = 1100 ft

and the angle relation is ...

  tan(2.7°) = opposite/adjacent = (1100 ft)/(horizontal distance)

Multiplying this equation by (horizontal distance)/tan(2.7°) gives ...

   horizontal distance = (1100 ft)/tan(2.7°) ≈ 23,325 ft

Dividing this by 5280 ft/mi gives ...

  horizontal distance ≈ 4.42 mi

The airplane travels about 23,325 ft, or 4.42 miles, horizontally as it climbs.

Answer:

yes your answer is right

Answer:

Yes it's Perfectly correct

Answer:

\(\dfrac{1}{4}\)

Step-by-step explanation:

The sample space of rolling a six-sided die and a coin is given below:

\(\left|\begin{array}{c|ccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\H&H1&H2&H3&H4&H5&H6\\T&T1&T2&T3&T4&T5&T6\end{array}\right|\)

Total Number of Possible Outcomes = 12, i.e. n(S)=12

Let the event of getting a head  followed by an even number = A

A={H2, H4, H6}

n(A)=3

Therefore:

Probability of getting a head  followed by an even number

\(=\dfrac{n(A)}{n(S)}\\ =\dfrac{3}{12}\\\\=\dfrac{1}{4}\)

Answer:

1/4

Step-by-step explanation:

just got it right

Answer:

?????

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4 because there are 4 kinds of marbles

Answer:

k=0

Step-by-step explanation:

/2-5K+3=4

We move all terms to the left:

/2-5K+3-(4)=0

determiningTheFunctionDomain

-5K+3-4+/2=0

We add all the numbers together, and all the variables

-5K-1+/2=0

We multiply all the terms by the denominator

-5K*2-1*2+=0

We add all the numbers together, and all the variables

-5K*2=0

Wy multiply elements

-10K=0

K=0/-10

K=0

The volume of the tower is 224 in³, which is not listed among the given options.

To find the volume of the rectangular block, we need to multiply its length, width, and height. Therefore, the volume of the single block is:
8 x 3.5 x 2 = 56 cubic inches.
Since we are stacking four blocks to create a tower, we need to multiply the volume of a single block by 4.

Thus, the volume of the tower is:
56 x 4 = 224 cubic inches.
The volume of a rectangular block can be found using the formula,

V = length × width × height.

In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches.

V = 8 × 3.5 × 2 V

= 28 × 2 V

= 56 in³

Now that we know the volume of one block, we can find the volume of the tower created by stacking four blocks. Tower volume = block volume × number of blocks Tower volume = 56 in³ × 4 Tower volume = 224 in³

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