Jose has scored 747 points on his math tests so far this semester. To get an A for the semester, he must score at least 833 points.

Answer:

x=7

Step-by-step explanation:

Vertical angles are equal

5x-9 = 8x-30

Subtract 5x from each side

5x-9-5x= 8x-30-5x

-9 = 3x-30

Add 30 to each side

-9+30 = 3x-30+30

21 = 3x

Divide by 3

21/3 = 3x/3

7 = x

Answer:

\(\large \boxed{\mathrm{-1}}\)

Step-by-step explanation:

\(\sqrt[3]{-1}\)

Apply radical rule:

\(\sqrt[n]{-1}=-1\)

If \(n\) is odd.

\(\sqrt[3]{-1}=-1\)

Answer:

s is not inversely proportional to t

Step-by-step explanation:

s is not inversely proportional to t.  I had responded that they were, based on the fact that as s went up, t went down.  But the question was not simply is there an inverse relationship, but are they inversely proportional.

The term proportional means that the relationship between s and t is a constant.  That is:

                                        t = s*(1/x)

Let's rewrite that to y*x = k and then check the numbers.  See the attached spreadsheet.  If the relationship were inversel proportioanl, thaen the product of t*s would be a contant for the series.  The third set is different from the first two.  The data has an is inverse relationship, but it is NOT proportional.

Answer:

\(\text{AB} = 2\sqrt5\)

Step-by-step explanation:

As the question implies, we should use the formula for finding the distance between two points on the plane.
We are given the points A(-1, 2) and B(1, -2).
Therefore, \(x_1 = -1\), \(y_1 = 2\), \(x_2 = 1\) and \(y_2 = -2\).

Substituting into the formula

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \\ \\\to d = \sqrt{(1 - (-1))^2 + (-2 - 2)^2} \\ \\\to d = \sqrt{2^2 + (-4)^2} \\ \\\to d = \sqrt{4 + 16} \\ \\\to d = \sqrt{20} = 2\sqrt5\)

a. The probability of a randomly selected American having type B blood is 12%.

b. The probability of a randomly selected American having type AB or O blood is 48%.

c. The probability of a randomly selected American not having type O blood is 55%.

Human blood is categorized into four types which are A, B, AB, and O. The percentages of Americans who have each of the four types are given below:

O - 43% A - 40% B - 12% AB - 5%

To calculate probabilities for various scenarios, we can use these percentages as follows.

a. The probability of a randomly selected American having type B blood is 12%.

b. The probability of a randomly selected American having type AB or O blood is 48%. The combined percentage of O and AB blood types is 48%. We can therefore say that the probability of an American having O or AB blood is 48%.

c. The probability of a randomly selected American not having type O blood is 55%. The percentage of Americans who don't have type O blood is the sum of percentages of A, B, and AB blood types, which is  Hence, the probability of not having O blood is lower than 57%. Therefore, the probability of a randomly selected American not having type O blood is 57%.

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The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

\(\frac{2}{5}\)

Step-by-step explanation:

Constants are terms that do not contain variables in an equation, term, or expression.

Examples: 2, 4, -8, 16, 22, 0.3, \(\frac{1}{2}\), -2.2, π

As you can see, these are only integers, nothing more.

Non-examples: 2x, -y, yx, -7k, \(\frac{4}{5}b\), 6x², a, 8mn, p², p, 1.1p², 4 + b

These values contain variables, so they are not defined as constants.

The number of petrol cars, given the ratio of cars to vans and the proportion of types of cars, is 30 cars

First, find the number of cars made :

= Number of cars and vans made x Ratio of cars / ( Sum of ratio of cars and vans )

= 160 x 3 / ( 3 + 7 )

= 160 x 3 / 10

= 48 cars

The number of petrol cars would be:

= Number of cars made - Number of electric cars - Diesel cars

= 48 - ( 1 / 8 x 48 ) - ( 25 % x 48 )

= 48 - 6 - 12

= 30 cars

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Answer: 4.25

 x

10

−

4

Step-by-step explanation:

Answer:

4.25x10^-9

Step-by-step explanation:

Answer:

123-23=100

100^2=100*100=10^4=10000

If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.

To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;

C² = a² + b²

where;

a= 80

b= 100

c= ?

That is;

c²= 80²+100²

= 6400+10000

= 16,400

c = √16400

= 128.1m

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Answer:

PT = 29

Step-by-step explanation:

Given that T is the midpoint of PQ , then

PT = TQ , substitute values

3x + 8 = 5x - 6 ( subtract 3x from both sides )

8 = 2x - 6 ( add 6 to both sides )

14 = 2x ( divide both sides by 2 )

7 = x

Thus

PT = 3x + 8 = 3(7) + 8 = 21 + 8 = 29

The expression 2 sin(4x) cos(9x) can be written as the difference of two functions using trigonometric identity as: sin(13x) - sin(5x).

To write the expression 2 sin(4x) cos(9x) as the sum or difference of two functions, we can use the trigonometric identity:

sin(A) cos(B) = (1/2)[sin(A + B) + sin(A - B)]

Applying this identity to the given expression:

2 sin(4x) cos(9x) = 2 * (1/2)[sin(4x + 9x) + sin(4x - 9x)]

Simplifying:

= sin(13x) + sin(-5x)

Note that sin(-θ) = -sin(θ), so we can rewrite sin(-5x) as -sin(5x):

= sin(13x) - sin(5x)

Therefore, the expression 2 sin(4x) cos(9x) can be written as the difference of two functions: sin(13x) - sin(5x).

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Answer:

6-b

Step-by-step explanation:

I hope this helps, and have a great day! :D

The percentage of the participants that shocked the learner all the way to the maximum (450-volt, xxx) level was of:

62%.

A percentage represents a fraction relative to a total amount, and this fraction is obtained dividing the value of the desired amount by the value representing the total amount, and then multiplying this value by 100%.

Hence the equation is:

Percentage = Desired amount/Total amount x 100%.

In the context of this problem, these amounts are given as follows:

Hence the percentage is obtained as follows:

P = 25/40 x 100% = 0.62 x 100% = 62%.

(rounded).

Of the 40 participants, 25 shocked the learner all the way to the maximum (450-volt, xxx) level.

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Answer:

Area = x^2 + 4x

Step-by-step explanation:

Width: x

Length x + 4

Area = x (x + 4)

Using the normal distribution, the range of weights that the middle 68% should contain is 145 to 175 pounds

To find the range of weights that the middle 68% of persons of a certain age should contain, given that the weight (X) is normally distributed with a mean of 160 pounds and a standard deviation of 15 pounds, you need to use the properties of a normal distribution.

Step 1: Identify the mean (µ) and standard deviation (σ)
In this case, µ = 160 pounds and σ = 15 pounds.

Step 2: Apply the 68-95-99.7 rule
According to this rule, approximately 68% of the data falls within one standard deviation from the mean. So, we need to find the range within one standard deviation of the mean.

Step 3: Calculate the range
To find the range, we will add and subtract one standard deviation (15 pounds) from the mean (160 pounds).

Lower limit: 160 - 15 = 145 pounds
Upper limit: 160 + 15 = 175 pounds
.

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26 possible letters for each of the first two positions and 10 possible digits for each of the last 4 positions gives a total of 676,000,000 license plates.

(1) 26 possible letters for each of the first two positions and 10 possible digits for each of the last 4 positions gives a total of

26 x 26 x 10 x 10 x 10 x 10 = 676,000,000 license plates.

(2) The number of possible license plates where the digits must be different is the number of permutations of 10 items taken 4 at a time, or 10P4 = 5040. Multiplying by 26 x 26 gives a total of

5040 x 26 x 26 = 3,636,160 possible license plates.

(3) To find the number of license plates that begin with "A" and don't have a 7, we first find the number of license plates that start with "A" and don't have any restriction on the last 4 digits. This is

26 x 10 x 10 x 10 x 10 = 676,000

Then, we find the number of license plates that have a 7, which is

9 x 26 x 10 x 10 = 23,760

Subtracting this from the total number of license plates that start with "A" gives us

676,000 - 23,760 = 652,240 possible license plates.

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Answer:

D. Only 16 and 21

Step-by-step explanation:

Plug in 16 and 21 to replace the x and the answer will be bigger than 24.

Answer:

\(0.15*x \leq 4.5\\x \leq 30\\Where\ x \ represents\ the\ amount\ of\ candy\)

Step-by-step explanation:

Divide the amount we have by the price of the sweets, and write it into an inequality.

The inequality symbol represents that the total price of all the sweets we want to buy cannot be larger than our budget.

The outcomes that are contained in A would be:{NN}, {DNN}, {NDN}, {DDNN}, {DNDN}, and {NDDN} and the maximum number of batteries that would need to be examined to obtain two non-defective batteries would be four.

The question states that the chance experiment terminates as soon as two non-defective batteries have been obtained. This condition means that the experiment will continue until the first two non-defective batteries are obtained.

Therefore, the outcomes that are contained in A would be: {NN}, {DNN}, {NDN}, {DDNN}, {DNDN}, and {NDDN}.

These outcomes represent the possible combinations of non-defective and defective batteries that would need to be examined in order to obtain two non-defective batteries. The given condition that the experiment will terminate as soon as two non-defective batteries are obtained means that no more batteries will be examined after the second non-defective battery is obtained.

Therefore, the maximum number of batteries that would need to be examined to obtain two non-defective batteries would be four.

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Answer:

T(3, 8)

Step-by-step explanation:

Yes, it can.

Use the midpoint formula with points S and Z, and solve for point T.

M( (x_1 + x_2)/2 , (y_1 + y_2)/2 )

Z(3, 5) = ( (3 + x)/2 , (2 + y)/2 )

(3 + x)/2 = 3

3 + x = 6

x = 3

(2 + y)/2 = 5

2 + y = 10

y = 8

T(3, 8)

Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.

The dataset, you can use it to identify the points that don't fit the pattern.

The points that don't fit the pattern in a dataset.

The points that don't fit the pattern in a dataset, you can use several methods such as:

Visualization:

Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.

You can use various graph types such as scatter plots, line graphs, box plots, etc., to visualize the data.

Statistical methods:

You can use statistical methods such as standard deviation, z-score, or regression analysis to identify the outliers or points that don't fit the pattern.

Domain knowledge:

If you have domain knowledge about the dataset, you can use it to identify the points that don't fit the pattern.

If you know that a particular event occurred during a specific period, you can use it to explain the anomaly in the data.

The points that don't fit the pattern, you can investigate why they don't fit the pattern.

It could be due to measurement errors, data entry errors, or a genuine anomaly in the data.

Understanding why certain data points don't fit the pattern can provide insights into the data and improve the accuracy of the analysis.

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Answer:

move 6 places right (1kg=10^6mg=1,000,000mg)

Step-by-step explanation:

ex:

1kg= 1,000,000mg

39kg=39,000,000

4.2kg=4,200,000

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{5}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{0}}} \implies \cfrac{ 1 }{ 2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{0})\implies y=\cfrac{1}{2}x+\text{\LARGE 4}~\hfill \stackrel{y-intercept}{(0,\text{\LARGE 4})}\)

Answer:

im not sure if my answer is correct

To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

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Answer:

65569898

Step-by-step explanation:

1753x87694=66033582

66033582-463684=65569898