How do you complete these problems?

I just need help understanding how to get the answer. Thanks.

Answer:

5/16

Step-by-step explanation:

This is a geometric sequence

aₙ=a₁*rⁿ⁻¹

a₆=10*.5⁶⁻¹

a₆=10*.5⁵

a₆=10*(1/2)⁻⁵

a₆=10*1/32

a₆=10/32=5/16

Answer:

a: Neither; b: Complementary

Step-by-step explanation:

Complementary= 90 degrees

Supplementary= 180 degrees

For letter a. the answer is neither because 85 +90= 175 degrees, not 90 or 180 degrees.

For letter b. the answer is complementary because 75 +15= 90 degrees.

A ratio of the form:

Can be written as:

Therefore:

Answer:

y intercept when x is 0, so the answer is 3

The leading coefficient of the expression is 1

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

4x² + x4 -8 -5

When written in standard form, we have

x^4 + 4x^2 - 8 - 5

Evaluate the like terms

x^4 + 4x^2 - 13

The leading coeffiicient is the coefficient of the term with highest power

In this case, it is

Coefficient = 1

Hence, the value is 1

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

Minimum--> 250

Q1--> 255

Q2--> (Median): 307

Q3--> 433

Maximum-->507

Step-by-step explanation:

To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.

First, we need to sort the data set in ascending order:

{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }

Minimum: 250

Maximum: 507

To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.

Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.

Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.

Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

More can be learned about least common denominator at https://brainly.com/question/19249494

#SPJ1

Answer:

no it's not

Step-by-step explanation:

3% of 45,500 is 1455 which is less then 2,500 which also means 1.5% is not more then 2,500

Answer:

\(\lim_{a\to 10} f(x)\)

Step-by-step explanation:

The following is the standard limit notation.

\(\lim_{x \to number} function\)

where x is the independent variable that the function is dependent on. The function is generally notated by f(x).

For 'a' approaching 10, we can substitute 'a' in for 'x' and 10 in for the number that we are approaching.

Therefore we end up with the following:

\(\lim_{a\to 10} f(x)\)

Step-by-step explanation:

f(x)=4x-2

g(x)=-2x+1

f(-3)/g(-5)={4×(-3)-2}/{(-2)×(-5)+1}

=-14/-9

=14/9

Given:

Length of the rectangle is 21.8 inches.

Width of the rectangle is 20.0 inches.

To find the perimeter of a rectangle:

Using the formula, we get

Hence, the perimeter of the rectangle is 83.6 inches.

9514 1404 393

Answer:

Step-by-step explanation:

Let b represent the number of shares of the bond fund owned. Then the value of the pension fund is ...

  15b +12(11000-b) = 150000

  3b = 18000 . . . . . . . . . . subtract 130,000

  b = 6000 . . . . . . . . . shares of bond fund

  11000 -b = 5000 . . . shares of stock fund

Answer:

Expanding the expression 2(d+9) gives:

2(d+9) = 2*d + 2*9

Simplifying the expression gives:

2(d+9) =2d + 18

Therefore, 2(d+9) is equivalent to 2d +18.

The simplified expression is:

Work:

To simplify this expression, I distribute 2 through the parenthesis:

\(\sf{2(d+9)}\)

\(\sf{2\cdot d + 2 \cdot9}\)

\(\sf{2d+18}\)

Hey there!

The answer is no, they would not return to the original price of $200.

This is because when you decrease 200 by 20%, you get 160. Then, if you increase 160 by 20%, you get 192. This is because 20% of 200 and 20% of 160 is different.

Hope this helps! Have a great day, and good luck on your assignment!

The reason that justifies the second statement "Angle L is congruent to angle T" is:

In a parallelogram, opposite angles are congruent.

Option C is the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram LENS and parallelogram NGTH

Now,

Parallelogram LENS:

∠L = ∠N _____(1)

Opposite angles are equal.

Parallelogram NGTH:

∠N = ∠T ______(2)

Opposite angles are equal.

Now,

∠ENS = ∠GNH

Vertical angles are equal.

So,

From (1) and (2).

∠L = ∠T

Angle L is congruent to angle T

Thus,

Angle L is congruent to angle T

[ In a parallelogram, opposite angles are congruent ].

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ1

Answer:

The last one: Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.

Step-by-step explanation:

To get to (-3 1/2, -2), you would have to go left 3 1/2 units, and down 2 units.

There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

Read more about mean scores

brainly.com/question/29432998

#SPJ1

Answer:

29

Step-by-step explanation:

34-5=29

Altitude is in a polygon, a perpendicular segment from a vertex to the opposite side or to the line containing the opposite side.

In geometry, the hypotenuse is the longest side of a right-angled triangle, opposite to the right angle. It is also the side that connects the two other sides, which are called the adjacent and opposite sides.

One of the key properties of the geometric mean is that it is always less than or equal to the arithmetic mean (the regular average) of the same set of numbers, except when all the numbers are equal.

The geometric mean is used in various fields such as finance, economics, biology, and physics. It is particularly useful in situations where values are subject to compounding or exponential growth, and where small changes in values can have a significant impact over time.

To know more about hypotenuse visit:

https://brainly.com/question/11958431

#SPJ1

Answer:

54

Step-by-step explanation:

16.4= 16

12.8= 13

9.6= 10

14.6=15

16 + 13 +10 +15 = 54

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

Answer:

Due to the larger sample size, the confidence interval of the second group will have greater precision for estimating the population mean.

Step-by-step explanation:

Margin of error of a confidence interval:

The equation for the margin of error of a confidence interval has the following format:

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which z is related to the confidence level, \(\sigma\) is the standard deviation of the population and n is the size of the sample.

From this, we can infer that a larger size leads to a greater precision of the interval, that is, a lesser margin of error.

In this question:

The sample from the first group survey has 49 data values, and from the second group has 81.

Due to the larger sample size, the confidence interval of the second group will have greater precision for estimating the population mean.

Given

s: silk flowers

r: ribbon

f: foam

v: vase

Procedure

s = 3r

r = 2f

v = 3f

s: silk flowers $24

r: ribbon $ 8

f: foam $ 4

v: vase $12

Answer:

1g/h) transportation budget is $6100*0.11=$610+$61= $671

$671 - $150 = $521

So the car payments alone are $521 under the guidelines

1i/j)

$671 - $75 = $596

The car insurance alone is $596 under the guidelines

Note to really compare such things in the real world you would sum up the costs and add gas and repairs to it. That could make such a high budget for transportation plausible.

(would really, reallly appreciate the brainliest)

The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

for similar questions on probability.

https://brainly.com/question/25839839

#SPJ8

Answer:

multiply 12x65, then multiply that by 1,000 to get 780,000

Step-by-step explanation:

A parallelogram can only be a rectangle if the following conditions are satisfied: B) The diagonals must be congruent, and A) the diagonals must be congruent and perpendicular.

Therefore,

One feature of a parallelogram is that its diagonals are divided in half. A rectangle also has congruent diagonals.

In addition to being congruent, the diagonals in a square are perpendicular to one another.

To learn more about parallelogram, refer to:

https://brainly.com/question/970600

#SPJ4