- Andrew plays on a basketball team. In his final game, he scored of
5
the total number of points his team scored. If his team scored a total
of 35 total points, how many points did Andrew score?
h
A:35
B:14
C:21
D:25

To determine whether the vectors (-2,1,-1) and (0,3,1) are parallel, we need to compare their direction. If they have different directions, they are not parallel. the correct answer is option c) Not parallel.

To check if two vectors are parallel, we can compare their direction vectors. The direction vector of a vector can be obtained by dividing each component of the vector by its magnitude. In this case, let's calculate the direction vectors of the given vectors.

The direction vector of (-2,1,-1) is obtained by dividing each component by the magnitude:

Direction vector of (-2,1,-1) = (-2/√6, 1/√6, -1/√6)

The direction vector of (0,3,1) is obtained by dividing each component by the magnitude:

Direction vector of (0,3,1) = (0, 3/√10, 1/√10)

Comparing the direction vectors, we can see that they are not equal. Therefore, the vectors (-2,1,-1) and (0,3,1) are not parallel. Hence, the correct answer is option c) Not parallel.

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The Solution:

Given the expression below:

We are asked to determine the degree and the leading coefficient of the above polynomial.

The degree of the polynomial is the highest power of the independent variable.

So,

The degree of the polynomial is 2.

The leading coefficient of the polynomial is the coefficient of the term with the highest power.

So,

The leading coefficient is 8.

Apple is one of the world’s leading technology giants. Apple’s product line consists of iPhones, iPads, Apple watches, MacBooks, iMacs, and Apple TVs. The organization operates on a global level, with a presence in over 100 nations around the world.

As a result, it’s critical for the company to maintain and develop its operations in a responsible and sustainable manner. The following are realistic, workable, and well-supported recommendations for action for Apple Inc. internationally:1. Increase investment in the Chinese market. China is Apple's second-largest market in the world, accounting for 15 percent of Apple's revenue. However, in recent years, the Chinese market has become increasingly competitive, with Huawei and Xiaomi gaining market share.

Apple should invest more in the Chinese market by conducting market research to gain an understanding of the needs and demands of Chinese consumers and adapting to the local culture.2. Expand into emerging markets with cheaper devices. The smartphone market in emerging economies such as India is growing at a rapid pace. To attract customers in these countries, Apple should launch more cost-effective products. Apple has already launched an affordable iPhone SE in India, and the company should consider launching more devices that cater to this market segment.3. Invest in the development of new technologies. Innovation is a critical component of Apple's business strategy.

The company should also continue to expand its retail operations and provide customers with more hands-on experience with Apple products. Apple should use data analytics to personalize customer experience and provide recommendations for additional products that might be of interest to customers.

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Answer:

Step-by-step explanation:

26

Answer:

1ab

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

1ab or just ab

Step-by-step explanation:

All 3 parts of the equation have the variables ab at the end, meaning that the solution will also end with ab.

Let's first solve by doing the first property, subtraction:

3ab-9ab=-6ab

Now, we add that sum to 7ab:
-6ab+7ab=1ab

Depending on what they ask, you can either write 1ab or ab, they are the exact same thing.

Step-by-step explanation:

Question:-6x + 12 = 3+3x

Answer:- 6x + 12 - 3 - 3x=0

6x-3x+12-3=0

3x+9=0

3x=-9

x=-9/3

x=-3

Hope this helps you

Have a nice day

Answer:

x = -3

Step-by-step explanation:

6x + 12 = 3+3x

6x + (12-12) = (3-12)+3x

(6x-3x) = (3x-3x)-9

3x/3 = -9/3

X=-3

Answer:

1/4

Step-by-step explanation:

Use the equation of a line from 2 points.

To construct a 90% confidence interval for the average speed of cars on the highway with a margin of error no more than ±0.5 mph and a standard deviation of 7 mph, you must clock at least 339 cars.

Step 1: Identify the critical value (z-score) for a 90% confidence interval. This can be found in a standard z-table or using a calculator. The critical value for a 90% confidence interval is 1.645.

Step 2: Use the margin of error (E) formula to calculate the sample size (n):
E = (z * σ) / √n

Where E is the margin of error (0.5 mph), z is the critical value (1.645), σ is the standard deviation (7 mph), and n is the sample size.

Step 3: Rearrange the formula to solve for n:
n = (z * σ / E)^2

Step 4: Plug in the values and calculate the sample size:
n = (1.645 * 7 / 0.5)^2
n ≈ 338.89

Since the sample size must be a whole number, round up to the nearest whole number.

To construct a 90% confidence interval for the average speed of cars on the highway with a margin of error no more than ±0.5 mph and a standard deviation of 7 mph, you must clock at least 339 cars.

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Answer:

Step-by-step explanation:

c.

Answer:

4/2 ----> 2

5/3 ----> 1 2/3

Answer:

A = 108 ft²

Step-by-step explanation:

the length of the smaller rectangle must be 9 (27÷3)

therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18

18 x 6 = 108

As per the concept of unitary method, there are 4 liters of blue paint are needed to make 44 pints of green paint.

Unitary method:

Basically, unitary method is the method aims at determining values in relation to a single unit.

Given,

To make green paint, you need a 6:5 ratio of yellow to blue paint.

Here we need to find the amount of pints of blue paint do you need to make 44 pints of green paint.

Here we have the ratio is 6 : 5 where yellow paint is 6x & blue paint is 5x.

So, here we have given in the Question

=> 6x = 12 liters

=> x = 12/6.

=> x = 2

Now, we have to apply the value of x as 2, then we get,

=> Blue Paint = 2(2).

=> Blue Paint = 4.

Therefore, 4 liters of Blue Paint are needed.

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Answer:

16.(a)  24

16.(b)  See attachment.

Step-by-step explanation:

Cumulative frequency means ‘running total’. A cumulative frequency diagram plots this running total so you can estimate the median and the quartiles easily.

According to the given cumulative frequency graph, the number of necklaces that have a mass 21 g or less is 16.

Therefore, an estimate of the number of necklaces with a mass of 21 g or greater is:

\(\implies 40-16=24\)

To draw a box plot to represent the data, estimate the median and quartiles from the graph.  

Calculate the position of the median and quartiles, then go to the position on the vertical scale of the graph and read off the value from the horizontal axis.  (See attached annotated graph).

\(\sf Median \; position=\dfrac{40}{2}=20\)

So the median = 22

\(\sf Q_1 \; position = \dfrac{1}{4} \times 40=10\)

So Q₁ = 18

\(\sf Q_3 \; position = \dfrac{3}{4} \times 40=30\)

So Q₃ = 24

Draw the box plot with the calculated median and quartiles, and the given lowest and highest values.  (See second attachment).

Answer:

\(5mn^{2} (2+ 5m^{2} n)\)

Step-by-step explanation:

I assumed the polynomial is \(10mn^{2} +25m^{3}n^{2}\)

FIRST: Highlight the common factors{ 5 , m and\(n^{2}\))

\(5mn^{2} (2+ 5m^{2} n)\)

Answer:

2160

Step-by-step explanation:

9×60×4 = 2160 because there is 60 seconds in a minute and 4 quarts a gallon

Answer: 15.99

Step-by-step explanation:

16 - 0.01 = 15.99

Another way to think about this is, if you add 0.01 to 15.99, youd get back to 16

Answer:

  0.253 m/s

Step-by-step explanation:

You want to know the horizontal component of motion of a passenger riding a Ferris wheel when they are 1/27 of the way around the circle and their rate of rise is 0.06 m/s.

The wheel makes one revolution in 27 minutes, so the angular displacement is changing at the rate of (360°)/(27 min) = 13 1/3°/min.

After 1 minute, the passenger is following a path that has an angle of elevation of 13 1/3°.

The ratio of vertical speed to horizontal speed will be the tangent of the angle of elevation:

  Vv/Vh = tan(13 1/3°)

Then the horizontal speed will be ...

  Vh = Vv/tan(13 1/3°) = (0.06 m/s)/0.237004

  Vh ≈ 0.253 m/s

The passenger's horizontal motion is about 0.253 m/s.

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

In a circle with radius 6 and angle intercepts an arc of length 3π , the angle in radians in simplest form is π/2.

In a circle, the length of an arc is proportional to the angle that it intercepts. The ratio of the arc length to the circumference of the circle is equal to the ratio of the angle in radians to 2π. Thus, we can write:

(arc length) / (circumference) = (angle) / (2π)

In this problem, we are given that the circle has a radius of 6 and that the arc length is 3π. We can use the formula for the circumference of a circle, which is C = 2πr, to find the circumference of this circle:

C = 2πr = 2π(6) = 12π

Now we can use the formula above to find the angle in radians:

(3π) / (12π) = (angle) / (2π)

Simplifying this equation, we get:

angle = (3π * 2π) / 12π = 1/2 * π

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a. The graph of the quadratic equation opens upward.

b. The quadratic equation has two real roots.

c. The real roots of the quadratic equation are (5 + √13)/6 and (5 - √13)/6.

To solve the inequality 3x^2 - 5x + 1 > 0, we need to determine the nature of the quadratic equation and its roots.

a. The graph of the quadratic equation y = 3x^2 - 5x + 1 opens upward because the coefficient of x^2 is positive (3 > 0).

b. To find the number of real roots, we can look at the discriminant (D) of the quadratic equation. The discriminant is given by D = b^2 - 4ac, where a, b, and c are the coefficients of x^2, x, and the constant term, respectively. In this case, a = 3, b = -5, and c = 1. Substituting these values into the formula, we have:

D = (-5)^2 - 4(3)(1)

D = 25 - 12

D = 13

Since the discriminant (D) is positive (D > 0), the quadratic equation has two distinct real roots.

c. To find the real roots of the quadratic equation, we can use the quadratic formula. The quadratic formula states that if a quadratic equation is of the form ax^2 + bx + c = 0, the roots can be found using the formula:

x = (-b ± √(b^2 - 4ac))/(2a)

In this case, the quadratic equation is 3x^2 - 5x + 1 = 0. Substituting the values into the quadratic formula, we have:

x = (-(-5) ± √((-5)^2 - 4(3)(1)))/(2(3))

x = (5 ± √(25 - 12))/(6)

x = (5 ± √(13))/6

Thus, the real roots of the quadratic equation 3x^2 - 5x + 1 = 0 are (5 + √13)/6 and (5 - √13)/6.

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The standard deviation for the number of home runs in 200 games, assuming the normal approximation of the binomial distribution, is approximately 5.37. This value represents the variability or spread of the number of home runs that can be expected for the player over the 200-game period.

When the number of games played is large, the binomial distribution can be approximated by a normal distribution. In this case, the player plays 200 games, and the probability of hitting a home run in a single game is given as 0.175.

The mean (μ) of the binomial distribution is given by n * p, where n is the number of trials (games) and p is the probability of success (probability of hitting a home run). Therefore, the mean for 200 games can be calculated as:

μ = n * p = 200 * 0.175 = 35

The standard deviation (σ) of the binomial distribution is calculated using the formula:

σ = sqrt(n * p * (1 - p))

Substituting the values:

σ = sqrt(200 * 0.175 * (1 - 0.175)) ≈ 5.37

Therefore, the standard deviation for the number of home runs in 200 games, assuming the normal approximation of the binomial distribution, is approximately 5.37. This value represents the variability or spread of the number of home runs that can be expected for the player over the 200-game period.

The answer is c. 5.37

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Given that T is a linear transformation on the vector space C^5 and T^4 = 27², we need to show that -8 < tr(T) < 8. Here, tr(T) represents the trace of T, which is the sum of the diagonal elements of T. By examining the properties of T and using the given equation, we can demonstrate that the trace of T falls within the range of -8 to 8.

Since T is a linear transformation on C^5, we can represent it as a 5x5 matrix. Let's denote this matrix as [T]. We are given that T^4 = 27², which implies that [T]^4 = 27². Taking the trace of both sides, we have tr([T]^4) = tr(27²).

Using the properties of the trace, we can simplify the left-hand side to (tr[T])^4 and the right-hand side to (27²)(1), as the trace of a scalar is equal to the scalar itself. Thus, we have (tr[T])^4 = 27².

Taking the fourth root of both sides, we obtain tr(T) = ±3³. Since the trace is the sum of the diagonal elements, it must be within the range of the sum of the smallest and largest diagonal elements of T. As the entries of T are complex numbers, we can conclude that -8 < tr(T) < 8.

Therefore, we have shown that -8 < tr(T) < 8 based on the given information and the properties of the trace of a linear transformation.

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Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

x=7.5

Step-by-step explanation:

Divide both sides by 3

3(x+4.5)/3       36/3

x+4.5=12

x=12-4.5

x=7.5

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cos(30)=x/8

Rewrite the equation as

x/8=cos(30)

Multiply both sides of the equation by

8

.

8

⋅

x/8=8⋅cos(30)

Simplify both sides of the equation.

Tap for more steps...

x=4√3

The result can be shown in multiple forms.

Exact Form:

x=4√3

Decimal Form:

x=6.9282032

Answer:

<1= 135 degrees

<4= 135 degrees

<6= 45 degrees

Step-by-step explanation:

This is because angle two and 6 are corresponding angles. you would then subtract 180 from 45 because angle 6 and 4 are consecutive angles. This would give you 135 degrees. Then angle 1 and angle 4 are verticla agles, making them equal to each other.

Answer:

D 9

Step-by-step explanation:

1 ribbon ---- 2/3 yards

x          ------  6 yards

6 * 1 = 2/3 * x

6 = 2/3 x

18/2 = x

x = 9

9 ribbons can be cut from 6 yards of ribbon

Answer:

Be Nice & Have Manners.

Step-by-step explanation:

Try to be nice and have manners. Being thankful for the clothes you have is always the top priority. Let them browse different kinds of clothes online or in person, and see if there are clothes that you and your parents agree on that you can wear.