Pls help!!!!
Will mark brainliest

Answer:

100x^12

Step-by-step explanation:

Answer:

The monthly growth rate is 2.1%

Step-by-step explanation:

To find the monthly growth rate, we have to consider what is inside the bracket

Mathematically, what we have in the bracket should be written as;

1 + r

Thus;

1 + r = 1.021

r = 1.021-1

r = 0.021

This is same as 2.1%

Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.

The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).

In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 (the total number of cards in the deck).

So, the probability of drawing a king is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 52

Simplifying the fraction gives us:

Probability = 1 / 13

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To find an x value so that the line will be parralel:

Set both values equal to each other and solve for x - value

Therefore the correct value of x = 6

Answer:

26

Step-by-step explanation:

The upper quartile is the value at the right side of the box, that is

upper quartile = 26

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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A square is any 2-dimensional shape that has all 4 sides equal and opposite sides parallel.

A square is typically identified when we see any shape which has 4 sides. These sides are equal to one another. The opposite sides are parallel. Another very important feature to be noted is that a square makes an angle of 90° with its adjacent sides.

If the angles are not 90°, then the shape is a rhombus and not a square.

A perfect example of a square is the game board of ludo. That is a perfect square. Another example is a handkerchief.

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Answer:

21/18 or 1 and 3/18

Step-by-step explanation:

6/9 = 12/18

3/6 = 9/18

12/18 + 9/18 = 21/18 or 1 3/18

Answer:

Answer:

when giving a rate you need to get a unit rate which is a fraction with a 1 on top then you would divide by the same number as the number if you have 6/6 then divide by 6

Step-by-step explanation:

The soccer ball reaches a maximum height of approximately 34.8 feet.

The parametric equations for the motion of the soccer ball are:

x(t) = 39*cos(44°)t ≈ 26.9t

y(t) = \(39\sin(44)*t - 16t^2\) ≈ \(22.7t - 16t^2\)

where t is the time elapsed since the ball was kicked.

To find the maximum height of the ball, we need to find the vertex of the parabolic trajectory given by y(t).

The maximum height occurs at the vertex, which is at the time t = -b/2a, where a = -16 and b = 39*sin(44°).

So, t = -b/2a ≈ 1.1 seconds.

Substituting this value of t into the equation for y(t), we get the maximum height:

y(max) = \(39*\sin(44)1.1 - 16(1.1)^2 = 34.8 feet.\)

Therefore, the soccer ball reaches a maximum height of approximately 34.8 feet.

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Answer: B, Randomly select 6 graduate students and 24 undergrad students for the survey.

Step-by-step explanation: This guarantees that each type is proportionately represented in the survey.

Not A because it risks too many or too few graduate students. It is not C because again, it risks too many or too few graduate students. It is not D because each section has about 50 students and the professor only wants 30 in his sample.

Answer:

Step-by-step explanation:

B

Answer:

10q^2+3q

Step-by-step explanation:

All you have to do is combine like terms I think

(I haven't done this stuff in ages so I'm most likely wrong)

Answer:

10q^2+3q

Step-by-step explanation:

2q^2 +3q +8q^2

Combine like terms

10q^2+3q

Answer:

Both have the same period which is 2π

Step-by-step explanation:

The vectors in set (c) span R3.Answer: (a) The vectors span R3, (b) The vectors do not span R3, (c) The vectors span R3.

To solve this problem, you need to determine if the given sets of vectors spanR3 or not. You may use Octave for your calculations.Here are the sets of vectors: (a) S1 = { [1; 0; 0], [0; 2; 1], [1; 0; 3] }(b) S2 = { [1; 1; 0], [3; 0; 0] }(c) S3 = { [1; 0; 1], [3; 1; 0], [-1; 0; 0], [2; 1; 5] }To determine whether the vectors in the given sets span R3, you can place the vectors in a matrix as column vectors and compute the rank of the matrix. If the rank is 3, then the vectors span R3. Otherwise, they do not.

(a) S1 = { [1; 0; 0], [0; 2; 1], [1; 0; 3] }R1 = [1 0 1; 0 2 0; 0 1 3]rank(R1) = 3The rank of R1 is 3, so the vectors in set (a) span R3.

(b) S2 = { [1; 1; 0], [3; 0; 0] }R2 = [1 3; 1 0; 0 0]rank(R2) = 2The rank of R2 is 2, so the vectors in set (b) do not span R3.

(c) S3 = { [1; 0; 1], [3; 1; 0], [-1; 0; 0], [2; 1; 5] }R3 = [1 3 -1 2; 0 1 0 1; 1 0 0 5]rank(R3) = 3The rank of R3 is 3, so the vectors in set (c) span R3.Answer: (a) The vectors span R3, (b) The vectors do not span R3, (c) The vectors span R3.

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Answer:

Step-by-step explanation:

The graph of the inequality is the second graph.

The graph will be a number line, such that we have a closed circle at x = -1, and we shade the region to the left (because x must be smaller than -1).

By looking at the possible options, we can see that the number line that meets this condition is the second one, the graph on the upper right corner.

That is the graph of the inequality: x ≤ -1.

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Answer:

6

Step-by-step explanation:

9 ^3 =3^m

(3^2) ^3 =3^m

3 ^(2×3)=3^m

3 ^6 =3 ^m

m =6

Answer: M = 6

Step-by-step explanation: 9 to the power of 3 = 3 to the power of 6

Answer:

y = x + 7

Step-by-step explanation:

The first function has a power of 1 (and not more), so it's linear. You can also see that if you make a graph of the function, it is a straight line

Answer:

y=7x−1y is equal to 7 to the x the power minus 1

Step-by-step explanation:

i don't know is if sure I might of counted it wrong but I'm guessing its this if I counted it right so yeah hope you get I right

A value which 25% of the data lie below include the following: (A) the lower quartile (Q1) and it is 75.

Based on the information provided about the box-and-whisker plot of this data set, we would determine the five-number summary for the given data set as follows:

Generally speaking, the Lower or first quartile (Q₁) represents the 25% of the data in a box-and-whisker plot and it is equal to 75.

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Answer:

A, B, D, and E

Step-by-step explanation: Hope it helps ^w^

Step-by-step explanation: I hope this helps.

Answer:

Rita will earn $897 for working 52 hours.

Word problems in mathematics are mathematical operations that are applied to solve real life cases.

From the information given:

If Rita worked for 22 hours, she earns $379.50

Now, if Rita worked for 52 hours, the amount Rita will earn can be expressed by using the relation:

\(\mathbf{= \dfrac{52 \ hours \times \$379.50}{22 \ hours} }\)

= $897

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The two numbers are approximately (3.583, 1.990) and (3.062, -1.990).

1. Let's assume the two numbers as x and y.

We are given two conditions:

1st condition: The sum of two numbers is 9.

x + y = 9

2nd condition: The sum of their squares is 45.

x² + y² = 45

To solve this system of equations, we can use the method of substitution. Rearrange the first equation to express x in terms of y:

x = 9 - y

Substitute this value of x into the second equation:

(9 - y)² + y² = 45

Expanding and simplifying:

81 - 18y + y² + y² = 45

2y² - 18y + 36 = 0

Divide the equation by 2 to simplify:

y² - 9y + 18 = 0

Factorize the quadratic equation:

(y - 3)(y - 6) = 0

Setting each factor to zero, we get:

y - 3 = 0   or   y - 6 = 0

Solving for y:

y = 3   or   y = 6

Now substitute these values back into the equation x + y = 9 to find x:

For y = 3, x + 3 = 9, x = 6

For y = 6, x + 6 = 9, x = 3

Therefore, the two numbers are (3, 6) or (6, 3).

2. Let's assume the two numbers as x and y.

We are given two conditions:

1st condition: The difference of the cubes of two numbers is 37.

x³ - y³ = 37

2nd condition: The sum of their squares is 25.

x² + y² = 25

Again, we can use the method of substitution to solve this system of equations. Rearrange the first equation to express x in terms of y:

x³ = y³ + 37

x = \((y^3 + 37)^{1/3}\)

Substitute this value of x into the second equation:

\([(y^3 + 37)^{1/3}]^2 + y^2 = 25\)

Simplifying:

y² + \(37^{2/3}\) + y² = 25

2y² = 25 - \(37^{2/3}\)

2y² = 25 - 17.074

2y² ≈ 7.926

y² ≈ 3.963

y ≈ ±1.990

Now substitute these values back into the equation x³ - y³ = 37 to find x:

For y ≈ 1.990, x³ - (1.990)³ = 37

x³ - 7.920 = 37

x³ ≈ 44.920

x ≈ ∛(44.920)

x ≈ 3.583

For y ≈ -1.990, x³ - (-1.990)³ = 37

x³ + 7.920 = 37

x³ ≈ 29.080

x ≈ ∛(29.080)

x ≈ 3.062

Therefore, the two numbers are approximately (3.583, 1.990) and (3.062, -1.990).

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The sum of the measures of the exterior angles of any polygon, including a triangle, is always 360 degrees.

We have,

An exterior angle of a polygon is formed by extending one of its sides outward.

In the case of a triangle, when we extend each side, we create three exterior angles.

These exterior angles are located outside the triangle.

The key concept to understand is that the sum of the exterior angles of any polygon is always 360 degrees.

This property holds true for all polygons, regardless of their shape or size.

To visualize this, imagine starting at any vertex of a triangle and moving along its sides while measuring the exterior angles.

As you move around the triangle, the sum of the exterior angles will always add up to 360 degrees.

This is because, at each vertex, the exterior angle supplements the interior angle to form a straight angle of 180 degrees.

In a triangle, each interior angle measures less than 180 degrees.

So, when we extend each side to create the exterior angles, they collectively compensate for the deficiency of the interior angles, resulting in a sum of 360 degrees.

Therefore,

The sum of the measures of the exterior angles of a triangle is always 360 degrees.

This principle holds true for all polygons, making it a fundamental property of geometry.

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Answer:

37.2

Step-by-step explanation:

when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.

therefore the corresponding side lengths are at the same ratio.

LM/KM = MN/LN

LM = 24

MN = 13

we can get LN via Pythagoras of the small triangle

LN² + MN² = LM²

LN² + 13² = 24²

LN² = 24² - 13² = 576 - 169 = 407

LN = sqrt(407) = 20.174241

now back to our main problem

24/KM = 13/sqrt(407)

24×sqrt(407)/13 = KM = 37.2

Answer:

Step-by-step explanation:

At most 24  means that the highest value is 24

b - 4 ≤ 24

Answer:

b/4≤ 24

Step-by-step explanation:

So basically what it's saying is that the difference between the variable B and the number 4 can be less than or equal to 24, but it can't be greater than 24. Difference is just a weird way of dividion so I put divide symbol.

Answer: 18

Step-by-step explanation:

The number of cans required to paint an area of 2000 square units is equal to 5 cans.

As given in the question,

Total area to be painted is equal to 2000 square units.

Area covered by one can of paint is equal to 400 square units

400 square units = 1 can of paint

⇒ 1 square units = ( 1 / 400 ) cans of paint

⇒ 2000 square units =  ( 2000 / 400 ) cans of paint

⇒ 2000 square units = 5 cans of paint

Therefore, the number of cans required to paint an area of 2000 square units using given can is equal to 5 cans.

The above question is incomplete, the complete question is:

How many cans of paint are needed to cover an area of 2000 square units if one can of paint covers in area 400 square units?

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To place the centerpiece on a corner table so that it is equidistant from each edge, we need to position it at the intersection of the diagonals of the table.

When placing the centerpiece on a corner table, we want it to be equidistant from each edge. This means that the distance from the centerpiece to any edge of the table should be the same.

To achieve this, we can draw a sketch of the corner table and its edges. Then, we draw the diagonals of the table, which are the lines connecting opposite corners. The intersection point of these diagonals is where we should place the centerpiece.

The reasoning behind this is that the diagonals of a square or rectangular table bisect each other, dividing them into two equal halves. By placing the centerpiece at the intersection point, we ensure that it is equidistant from each edge because it is at the same distance from the two adjacent sides of the table.

Therefore, positioning the centerpiece at the intersection of the diagonals guarantees that it is located the same distance from each edge of the corner table.

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The square of the altitude is equal to the product of the base of the triangles

The square of the altitude is equal to the product of the base of the triangles. The length of line segment GJ is 8units

According to the theorem;

GJ² = HJ*JF

Determine the value of x using the pythagorean theorem

\(x^2+x^2=16\\2x^2=16\\x^2=8\\x=\sqrt{8}\\x=2\sqrt{2}\)

According to the theorem;

GJ² = HJ*JF

HJ + JF = 16

Since HJ = JF, hence

HJ = JF = 8

Substitute

GJ² = HJ*JF

GJ² = 8 * 8
GJ² = 64

GJ = 8units

Hence the length of line segment GJ is 8units

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Answer:

8

Step-by-step explanation: