Order the following list from least to greatest.
|-18|, -30, 35, -9.3

Answer:

94 cm²

Step-by-step explanation:

= 2 × (5×3 + 5×4 + 3×4)

= 2 × (15 + 20 + 12)

= 2 × 47

= 94 cm²

The measures of x are obtained with the Pythagorean Theorem, as follows:

1. x = 10.2.

2. x = 7.2.

3. x = 13.7.

4. x = 36.2.

5. x = 10.7.

The Pythagorean Theorem is a geometry axiom which states that for a right triangle, the length of the hypotenuse squared is equals to the sum  of the lengths of the sides squared.

Hence, for item 1, we have that:

x² + 16² = 19²

x = square root(19² - 16²)

x = 10.2.

For item 2, we have that:

x² + 12² = 14²

x = square root(14² - 12²)

x = 7.2.

For item 3, we have that:

x² + 9.2² = 16.5²

x = square root(16.5² - 9.2²)

x = 13.7.

For item 4, we have that:

x² = 15² + 33²

x = square root(15² + 33²)

x = 36.2.

For item 5, first we find the side of the top right triangle, hence:

h² + 16² = 25²

h = square root(25² - 16²)

h = 19.2.

Then the value of x is obtained as follows:

x² + 19.2² = 22²

x = square root(22² - 19.2²)

x = 10.7.

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Answer:

11.5 years

Step-by-step explanation:

Given data

Principal= $400

Rate= 6%

For the compound interest at time t, the expression is given as

A= P(1+r)^t

Substitute

A= 400(1+0.06)^t

A=400(1.06)^t

B. How much money is in Jennifer's account after 5 years

put t= 5

A=400(1.06)^5

A=400*1.338

A=$535.2

C. Approximately when will Jennifer have $800 in her account

A=$800

P=$400

r=6%

t= ln(A/P)/r

t= ln(800/400)/0.06

t= ln(2)/0.06

t= 0.6931/0.06

t=11.551

Hence the time is about 11.5 years

Given :

A mountain climber started his climb at 50 feet above see level .

He then raised 3 feet to rest in his cot to make his final 10 feet climb down.

To Find :

An expression to find his position relative to his final position.

Solution :

Let , final position is h .

h is given by :

\(h=\text{(Initial position)-(initial descended)+(height raised to rest)-(final descended)}\\\\h=50 -28 +3-10\ feet\\\\h=15\ feet\)

So , his final position is 15 feet .

Hence , this is the required solution .

Failure to include some units, or entire portions, of the defined survey population in the actual operational sample frame represents: a noncoverage error.

One of the components of coverage error that results from a flawed sample frame that excludes a certain percentage of the population is noncoverage.

Sampling errors need to be controlled and reduced to a level at which their presence does not defeat or obliterate the usefulness of the final sample results.

The difference between the observed values of a variable and the long-run average of the observed values in repetitions of the measurement is the sampling error.

Noncoverage, another word for these frames, inadequate coverage is also known as undercoverage.

Sampling errors can be decreased by increasing the sample size.

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The present value of the annuity at the end of year 7 is approximately $47,069.08.

To calculate the present value of an ordinary annuity, we can use the formula:

PV = PMT * [(1 - (1 + r)⁻ⁿ) / r],

where PV is the present value, PMT is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, the annual payment is $4,500, the interest rate is 8%, and the number of periods is 16. However, the payments start at the end of year 8 and continue until the end of year 23, which means there is a delay of 7 years.

Using the formula, the present value at the end of year 7 can be calculated as:

PV = $4,500 * [(1 - (1 + 0.08)⁻¹⁶) / 0.08] = $47,069.08.

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Exact length of border required by Kristin is calculated to be 9.42 ft.

This question can be solved using the concept of circumference of a circle.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were expanded out and straightened out to a line segment, the circumference would be the length of the arc. The curve/arc length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge. A sphere's circumference is equal to the length of any one of its great circles.

Circumference of a circle is given by 2πr.(r is the radius of the circle)

In the given question,

diameter= 3ft

radius= half times of diameter

radius= 1.5 ft.

Circumference= 2πr

= 2×3.14×1.5

=9.42 ft

Kristin will require 9.42 ft of border around the edge of the table.

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Answer:

4L + 8H = 512 (First answer)

You can take 92 low resolution pictures (second answer)

Step-by-step explanation:

Let L represent the number of low resolution pictures you take and H the number of high resolution pictures you can take.

You only have 512 megabytes.

Therefore, the number of megabytes the low resolution pictures you take plus the amount of megabytes the high rsolution you take in total should be 512

Therefore your equation is:

4L + 8H = 512 (First answer)

You took 18 high resolution pictures, so substitute 18 for H

4L+8(18) = 512

4L+144=512

subtract 144 on both sides

4L=368

divide by 4

L= 92

You can take 92 low resolution pictures

Hope this helps!

Small, random genetic changes that occur over generations is known as genetic drift.

Genetic drift is an evolutionary process in which the frequency of a given gene allele varies randomly across a population. The impacts of genetic drift can be severe, often causing traits to become excessively common or to vanish from a community, even though it predominantly affects small, isolated populations.

Some people might merely by coincidence leave behind a few more offspring (and genes, of course!) than others in each generation. The next generation's DNA and other genetic components will come from the "fortunate" people, not necessarily the healthier or "better" people.

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Answer:

25 + 15n ≥ 150

Step-by-step explanation:

The term at least mean the amount saved is greater than or equal to 150

Let the number of weeks he intends to save be n

Amount saved after n weeks without the plan is:

15n

Add plan amount

= 25 + 15n

Add inequality

25 + 15n ≥ 150

Answer:

last one 250t

Step-by-step explanation:

if u pluged in 4 for t to the equation u would get 1000 which is the correct amount

hope this helped!

Answer:

a = 250t or Answer D

Step-by-step explanation:

Y = mx+b

m = (y2-y1)/(x2-x1)

m = (2500-100)/(10-4)

m = 1500/6 = 250

y = 250x+0

y = 250x

(a) True. This statement is valid because the inequality a < b is satisfied when a is strictly less than b. Since a < b + ε for every ε > 0, it follows that a is less than b.

(b) False. This statement is false because it implies that a < b for every ε > 0, when this is not necessarily true. For example, if a = 0 and b = 1, then a < b + ε is true for every ε > 0, but a < b is not true.

(c) True. This statement is valid because it states that the inequality a ≤ b is satisfied when a is less than or equal to b. Since a < b + ε for every ε > 0, it follows that a is less than or equal to b.

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Answer:

23 feet

Step-by-step explanation:

According to the scenario, computation of the given data are s follows,

Total rope = 46 feet

Number of person = 2

So, we can calculate the amount of rope each person get by using following formula,

Each person quantity = Total rope ÷ Number of person

By putting the value in the formula, we get

Each person quantity = 46 feet ÷ 2

= 23 feet

Hence, each person gets 23 feet of rope.

Answer:

The 15th term is 103

Step-by-step explanation:

Arithmetic Sequence

An arithmetic sequence is a list of numbers with a definite pattern by which each term is found by adding or subtracting a fixed quantity to the previous term. If n is the number of the term, then:

\(a_n=a_{n-1}+d\)

Where d is called the common difference. If we know the first term, the nth term is calculated by:

\(a_n=a_1+(n-1)*d\)

The question asks us to find the term n=15 of an arithmetic sequence with a common difference d=7 and first term a1=5.

Applying the formula above:

\(a_{15}=5+(15-1)*7\)

\(a_{15}=5+14*7\)

\(a_{15}=5+98=103\)

The 15th term is 103

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = \(\frac{AC}{DC}\) = \(\frac{25}{20}\) = \(\frac{5}{4}\)

Then

\(\frac{AB}{DE}\) = \(\frac{3x-2}{2x}\) = \(\frac{5}{4}\) ( cross- multiply )

4(3x - 2) = 10x

12x - 8 = 10x ( subtract 10x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Answer:

c

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

an=a(n-1)+1

a1=10

a2=

a(2-1)+1=

a1+1=

10+1=11

a3=

a2+1=

11+1=12

a4=

a3+1=

12+1=13

a4=13

Answer:

4f-5+6g

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

a

the answer is  -36+54

I used a exponet calculator

Answer:

B.  Opposite sides are parallel.

Step-by-step explanation:

This is the definition of a parallelogram.

The other 3 conditions may or may not be true.

Opposites sides are parallel is always a property of a parallelogram.

" Parallelogram is defined as the two dimensional polygon whose opposite sides are always parallel and congruent to each other."

According to the question,

As per the properties of parallelogram we have,

Hence, Option (B) is the correct answer.

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9514 1404 393

Explanation:

We can find the slope by solving for y.

  3x +2y +7 = 5x +3y +10

  -2x -3 = y . . . . . . . . . . . . . add -5x-10-2y to both sides of the equation

In this form, the slope (m) is the coefficient of x, -2. Hence m = -2.

__

Alternate solution

A graph of the equation shows it has an x-intercept of -1.5 and a y-intercept of -3. The slope (m) is then "rise" divided by "run", or ...

  m = rise/run = -3/1.5

  m = -2

The cost of 1 kg orange is 66.67% less than the cost of 1 kg apple.

"Rate" usually refers to the cost per unit of a certain item or service. Rates can vary depending on factors such as quantity, time, and discounts. For instance, a product may have a lower rate if purchased in bulk, or a service may have a discounted rate for repeat customers.

In mathematics, percent is a way of expressing a number as a fraction of 100.

Let's start by finding the cost of 1 kg orange and 1 kg apple using the given information.

Let the cost of 1 kg orange be x and the cost of 1 kg apple be y.

From the first statement, we know that:

3x + 5y = 1300

Simplifying this equation, we get:

x + (5/3)y = 1300/3

x = (1300/3) - (5/3)y

From the second statement, we know that:

2(1.1x) + 3(0.8y) = 700

Simplifying this equation, we get:

2.2x + 2.4y = 700

Substituting the value of x from the first equation, we get:

2.2[(1300/3) - (5/3)y] + 2.4y = 700

Simplifying this equation, we get:

y = 200

Substituting the value of y in the first equation, we get:

x = 100

Therefore, the cost of 1 kg orange is Rs. 100 and the cost of 1 kg apple is Rs. 200.

To find the percentage by which the cost of 1 kg orange is more or less than the cost of 1 kg apple, we can use the following formula:

Percentage difference = [(|x - y|)/((x + y)/2)] * 100

Substituting the values of x and y, we get:

Percentage difference = [(|100 - 200|)/((100 + 200)/2)] * 100

Percentage difference = [100/150] * 100

Percentage difference = 66.67%

Therefore, the cost of 1 kg orange is 66.67% less than the cost of 1 kg apple.

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The equation of line in point-slope form is; 7y = x + 31.

For the given question;

The points are given as;

(x₁, y₁) = (4, 5)

(x₂, y₂) = (-3, 4)

The slope of the equation of the line is found as;

slope = m = (y₂ - y₁)/(x₂ - x₁)

Put the values;

m = (4 - 5)/(-3 - 4)

m = (-1)/(-7)

m = 1/7

Thus, the point slope form will be;

y - y₁ = m(x - x₁)

y - 5 = (1/7)(x - 4)

Simplifying;

7y - 35 = x - 4

7y = x + 31

Thus, the equation of line in point slope form is; 7y = x + 31.

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When it comes to the context that defined immigration to the United States during the period from 1980 to 2000, the ideas expressed in the excerpt overlook immigrants being limited based on quotas from certain regions. Therefore, option C is the correct answer.

What was the context of immigration to the United States from 1980 to 2000?

During the period from 1980 to 2000, the context of immigration to the United States was marked by a few factors.

For one, the United States experienced an unprecedented wave of immigration during this period as migrants came from across the world to pursue the American Dream. However, the reasons for this wave of immigration varied.

The United States faced an ever-increasing demand for industrial production that required additional labor, and the American economy needed immigrants to fill the gap.

Many immigrants also arrived in the United States during this period because they were attracted by employment opportunities in mineral extraction.

Another factor that drove immigration to the United States from 1980 to 2000 was the fact that immigrants were arriving from different countries than in previous periods.

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Answer:

a. $45.86

b. $43.87

c. Percentage change = -4.40%)

Step-by-step explanation:

a. Let the price of share at the beginning of first year be represented with X

Now, Price of company's share dropped by 3.50% at the end of first year.

So, Price of share at the end of first year = x - 3.5% of x

= x - 0.035x

= 1x - 0.035x

= 0.965x

But it is equal to $44.25

=> 0.965x = 44.25

x = 44.25 / 0.965  

x = 45.8549223

x = $45.86

b. During second year price of share decreased by $1.99. Therefore, Price of share at the end of second year = $45.86 - $1.99  = $43.87

c. Percentage change in the price of shares over two years = {(45.86 - 43.87)/45.86} *100

= (1.99/45.86)*100

= 0.04339294 * 100

= 4.40%

Now, as price of shares has dropped, the percentage change will be negative. (Δ% = -4.40%)