6X=X² +19=
Solve the equation

Answer: 9.3 because it’s a decimal .

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

I think.

Answer:

a) 0.968 s (nearest thousandth)

b) 0.625 s

Step-by-step explanation:

Give equation:  \(-16x^2 + 10x + 15 = 0\)

If the linear term represents the initial velocity,
then the initial velocity in the original equation = 10 ft/s

If the constant term represents the initial height,
then the initial height in the original equation = 15 ft

a) If the initial velocity is 0

\(\implies -16x^2 + 15 = 0\)

\(\implies x^2 = \dfrac{15}{16}\)

\(\implies x = \pm\dfrac{\sqrt{15}}{4}\)

As time is positive,

\(\implies x =\dfrac{\sqrt{15}}{4}=0.9682458366...\)

The flotation device will hit the water after 0.968 s (nearest thousandth)

b) If the initial height is 0:

\(\implies -16x^2 + 10x = 0\)

\(\implies -2x(8x-5) = 0\)

\(\implies -2x=0\implies x=0\)

\(\implies 8x-5=0 \implies x=\dfrac58\)

Therefore, the flotation device lands in the water after 5/8 seconds = 0.625 s

Based on the image given above, the angles that are numbered can be classified as:

∠1 and ∠2: vertical angles

∠3 and ∠4: adjacent angles

Angles that share the same vertex and also the same side, are said to be angles that lie next to each other which are called adjacent angles.

For example, the angles in the image given that are numbered as 3 and 4, share the same vertex and a common side. Therefore, they are adjacent angles.

If two angles are formed to lie directly opposite to each other when two lines intersect at a point, the angles share a common point but do not share a common side. These set of angles are called vertical angles.

For example, in the image given, angles 1 and 2 are vertical angles.

Therefore, the angles would be classified as:

Angles 1 and 2: vertical angles

Angles 3 and 4: adjacent angles

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Answer:

3 and 4 are adjacent angles, and 1 and 2 are vertical angles.

Step-by-step explanation:

vertical angles are across from each other while adjacent is next to each other. the other person's explanation is better than mine though. :')

Answer:-3 and -7 equals 10

Step-by-step explanation: two negatives equal a positive and vice versa. Combining those 2 gives you the highest answer

Given the standard basis vectors and the corresponding images under the linear transformation T, we can determine the image of a specific vector using the linear transformation properties.

To find T([1,3,-2]'), we can express [1,3,-2]' as a linear combination of the standard basis vectors: [1,3,-2]' = 1e1 + 3e2 - 2e3. Since T is a linear transformation, we can apply it to each component of the linear combination. Using the given images of the basis vectors, we have T([1,3,-2]') = 1T(e1) + 3T(e2) - 2T(e3).

Substituting the values of T(e1), T(e2), and T(e3), we get T([1,3,-2]') = 1*(-3,-4,4)' + 3*(0,4,-1)' - 2*(4,3,2)'. Simplifying the expression, we obtain T([1,3,-2]') = [-3,-4,4]' + [0,12,-3]' - [8,6,4]'. Combining like terms, we have T([1,3,-2]') = [-3+0-8, -4+12+6, 4-3-4]' = [-11,14,-3]'. Therefore, T([1,3,-2]') = [-11,14,-3]'.

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Answer:

31

Step-by-step explanation:

Square both sides of the equation to get

x+5 = 36

x = 31

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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The GCF or greatest common factor of 10 and 18 is 2.

In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero.

Consider the two numbers 10 and 18,

The numbers can also be written as:

10 = 2 × 5

18 = 3 × 2 × 2

Now, the greatest common factor when we compare the factors of these two numbers is 2.

As 2 appears as a factor in both of the numbers a single time. Hence the grates common factor is 2.

The error is that they considered 2 × 3 × 3 × 5 as the GCF of the two numbers whereas the greatest common factor of two numbers is the highest common number of their factors.

The GCF of 10 and 18 is 2.

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Hi!
Let's write this out.
Her limit is $900, and she's used $450. So, we subtract 450 from 900.
900-450 = 450.

So, she has $450 available credit left.
Hope this helps!
~~~PicklePoppers~~~

Answer: your credit utilization ratio on that card would be 50% but the answer is 450

Step-by-step explanation:

900-450 = 450

The function f(x) = cot(x) is an odd function, algebraically

From the question, we have the following parameters that can be used in our computation:

f(x) = cot(x)

A function is said to be even if

f(x) = f(-x)

Using the above as a guide, we have the following:

f(-x) = cot(-x)

-f(x) = -cot(x)

A function is said to be odd if

-f(x) = f(-x)

So, we have

-f(x) = -cot(x)

-f(x) = cot(x)

By comparing the functions:

f(x) = -f(x) = cot(x)

Hence, the function is odd

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The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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The probability that Yaniq gets a total of less than 7: 2/9

The probability that Yaniq gets a total of more than 9: 2/9

The completed table has the total as:

5, 7,9, 6, 810,7, 9, 11

b. The probability that Yaniq gets a total of more than 9:

E: (10, 11)

P(E) = 2/9

Given that the total outcomes is 9

c. The probability that Yaniq gets a total of less than 7:

F; (5,6)

P(F)= 2/9

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The correct answer is the minimal cover of F is:F = {AB→C, AB→S, AB→E, ES→S}

Given, relation schema R(ABC,DE) with functional dependencies F:AB→SCDE→ABAB→SEES→C.

The candidate key of a relation R is a minimal set of attributes that can uniquely identify each tuple in R. To find the candidate key, we can compute the closure of each subset of attributes in R. Let's begin by finding the closure of AB, the subset of R. We can use the functional dependency AB→SC to compute the closure of AB as follows: AB+ = ABSC (by AB→SC)

Next, let's compute the closure of DE, the other subset of R. We can use the functional dependency DE→AB to compute the closure of DE as follows: DE+ = DEABSE (by DE→AB and AB→SE)

Now we have two potential candidate keys, AB and DEABSE. However, we need to check if they are minimal. To do this, we check if any subset of these candidate keys can also function as a candidate key. We can see that neither AB nor DEABSE has any proper subset that can function as a candidate key.

Therefore, both AB and DEABSE are candidate keys for the relation R. Next, let's compute the minimal cover of F. The minimal cover of a set of functional dependencies F is a minimal set of functional dependencies that is equivalent to F.

To find the minimal cover of F, we can use the following steps:

Step 1: Eliminate redundant dependencies. We can eliminate the dependency AB→SC since it is implied by AB→C.

Step 2: Decompose dependencies. We can decompose the dependency AB→SE into two dependencies, AB→S and AB→E, since S and E are not a subset of any other attribute set in F.

Step 3: Eliminate extraneous attributes. We can eliminate the attribute C from the dependency ES→C since C is already determined by AB→C.

Therefore, the minimal cover of F is:F = {AB→C, AB→S, AB→E, ES→S}

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The probability of selecting exactly 2 broken calculators out of 4 when randomly selecting 4 calculators from a box of 50 calculators is 0.255.

The probability formula allows us to determine the likelihood of an event by dividing the number of favorable outcomes by the total number of possible outcomes. The probability of an event occurring can range from 0 to 1, as the number of favorable outcomes can never be greater than the total number of outcomes.

Using this formula, we can calculate the probability of getting exactly 2 broken calculators:

P(X=2) = C(4,2) * (4/50)² * (46/50)²
where C(4,2) is the number of ways we can select 2 broken calculators from a total of 4 broken calculators, which is equal to 6.
Therefore, plugging in the values, we get:
P(X=2) = 6 * (4/50)² * (46/50)²

P(X=2) = 0.255
So the probability of selecting exactly 2 broken calculators out of 4 when randomly selecting 4 calculators from a box of 50 calculators is 0.255.

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The 95% confidence interval for the population proportion who claim they always buckle up is 0.0204.

a) x: 330

b) n: Number of drivers who are surveyed = 430

c) p': proportion of drivers in a sample who claimed to always buckle up = 0.7674

d) normal distribution should be used for this problem.

e) 95% confidence interval for the population proportion who claim they always buckle up.

The error margin is:

1.96 × sqrt(p(1-p) ÷ n)

1.96 × sqrt(0.7674 × 0.2326 ÷ 430) = 0.0204

(0.7674 - 0.0204,0.7674 + 0.0204) = (0.747, 0.7878)

The confidence interval is (0.747, 0.7878).

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Answer:

Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Step-by-step explanation:

First, create a ratio comparing the number of boys to girls:

42:35

This can be simplified since both numbers are divisible by 7:

42:35

Divide each number by 7:

6:5

So, Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Answer:

incorrect i think

Step-by-step explanation:

the ration would be 6:5

Answer:

Wdym scientific notations?

Step-by-step explanation:

3.8 x 102 = 387.6

6.4 x 10 = 64

Using the Fundamental Counting Theorem, it is found that there are 1000 possible numbers that Lina could pick.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Hence the number of combinations is given by:

N = 5 x 4 x 10 x 5 = 1000

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The function which has the constant rate of change as -1/4 is the function(i) whose graph passes through the points (-2,2) and (2,1).

The "Rate-Of -Change" of a graph is defined as a measure of how much one variable changes in relation to another variable. It is calculated by finding slope of line which represents the graph.

The graph of function(i) is a coordinate-plane with a straight line with a negative slope and line passes through (-2, 2) and (2, 1).

The equation is written as :

⇒ y - 1 = [(1-2)/(2+2)]×(x -2),

⇒ y - 1 = (-1/4)×(x -2),

⇒ y = -(x/4) + 1/2 + 1,

⇒ y = -x/4 + 3/2,

Therefore, the constant-additive rate of change = -1/4.

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The given question is incomplete, the complete question is

Which function has a constant additive rate of change of -1/4?

The graph of function(i) is a coordinate plane with a straight line with a negative slope. The line passes through (-2, 2) and (2, 1).

The graph of function(ii) is a coordinate plane with a curved line passing through (-1, 2), (0, -1), the minimum at (2, -2), and (4, -1).

In the given case, Jane has a comparative advantage over Jim in soldering while Jim has a comparative advantage in inspecting. Therefore, the correct option is B.

Comparative advantage is the ability of a person or a country to produce a good or service at a lower opportunity cost than others. In this scenario, we can calculate the opportunity cost of soldering and inspecting for Jane and Jim.

For Jane, her opportunity cost of soldering is 20/50 or 0.4 inspections per solder, while her opportunity cost of inspecting is 50/20 or 2.5 solders per inspection.

For Jim, his opportunity cost of soldering is 20/25 or 0.8 inspections per solder, while his opportunity cost of inspecting is 25/20 or 1.25 solders per inspection.

Comparing the opportunity costs, we see that Jane has a lower opportunity cost of soldering than Jim (0.4 vs. 0.8), meaning she is relatively better at soldering than Jim. Therefore, Jane has a comparative advantage in soldering.

On the other hand, Jim has a lower opportunity cost of inspecting than Jane (1.25 vs. 2.5), meaning he is relatively better at inspecting than Jane. Therefore, Jim has a comparative advantage in inspecting.

Therefore, the correct answer is B) Jane has a comparative advantage over Jim in soldering while Jim has a comparative advantage in inspecting.

Note: The question is incomplete. The complete question probably is: In an hour Jane can solder 50 connections or inspect 20 parts while Jim can solder 25 connections or inspect 20 parts in an hour. A) Jane has a comparative advantage over Jim in both soldering and inspecting. B) Jane has a comparative advantage over Jim in soldering while Jim has a comparative advantage in inspecting. C) Jim has a comparative advantage over Jane in soldering while Jane has a comparative advantage in inspecting. D) Jim had a comparative advantage over Jane in both soldering and inspecting.

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Answer:

The answer should be, x ÷ 180 or \(\frac{x}{180}\)

good luck, i hope this helps :)

Answer: 12

Step-by-step explanation:

Answer: Choice C: none of the above

Step-by-step explanation:

The distance between two numbers would be |(number 1) - (number 2)|

--------------------------------------------------------------

Given

Number 1=-3.9

Number 2=-4.7

 |(number 1) - (number 2)|

=|(-3.9) - (-4.7)|

=|-3.9+4.7|

The choice is not available.

Therefore, it is none of the above.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

n= 75

y= 75

z= 50

p= 105

other n across from p= 105

Step-by-step explanation:

n and y are the same since the triangle is isoseles.

p is supplemetary to n

z and 50 are opposites in a quadrilateral

Answer:

0 < x ≤ 200 and 0 < y ≤ 400

Step-by-step explanation:

We are told that they only have space to accept 200 out-of-state students.

Also that they plan to accept two times as many in-state students as out-of-state.

Now, x = the number of out-of-state students and y = the number in-state students

Thus;

maximum number of out-of-state students:x_max 200

maximum number of in-state students: y_max = 2 × 200 = 400

Now, to Write the constraints, we know that maximum number of x is 200 and minimum will be greater than zero students since at least one out-of-state will be accepted.

Thus;

0 < x ≤ 200

Similarly, for in-state students;

0 < y ≤ 400

Answer:

0 < x ≤ 200 and 0 < y ≤ 400

Step-by-step explanation:

took test

Step-by-step explanation:

terms are the elements separated by the plus or minus signs.

By calculation, your grade in the class now is 78.7

From the question, we have the following parameters that can be used in our computation:

Score of 47.2 in 60

Represent the score in 100% with x

So, we have the following equation

47.2/60 = x/100

Multiply both sides of the equation by 100

So, we have

100 * 47.2/60 = x/100 * 100

This gives

100 * 47.2/60 = x

So, we have

x = 100 * 47.2/60

Evaluate

x = 78.7

Hence, your grade in the class now is 78.7

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