The 100th term of 1, 7, 13, 19, … is

By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.

In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.

Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:

sin θ = h / r

Where:

If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:

r = h / sin θ

r = 45 / sin 20°

r ≈ 131.571

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Answer:

The Burnets spent .22 × $5,825 = $1,281.50 on taxes and insurance.

Step-by-step explanation:

A1= area of the rectangle

A1= 4yd • 10yd

A1= 40 square yd

A2= area of the part of the circular section

A2= 180°• pi • 4 square yd/360°

A2= 180° • 16yd • pi/ 360°

A2= 16yd•pi/2

A2= 8yd•pi

A2= 25,12yd

A= areo of rhe shaded portion

A= A1-A2

A= 40yd-25,12yd

A= 14,88yd

Answer:

,,,,,,,,lllllllllllll

Step-by-step explanation:

lllllllll,,,,,,,,,,,,,

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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The perimeter οf Shape is 286.82 inches, fοr detail answer we have tο learn abοut perimeter and fοrmulas.

Perimeter is define as distance arοund are οutside οf the shape (like Rectangle, Square , Triangle etc).

Perimeter οf Equilateral Triangle = \(\frac{\sqrt{3} }{4}\) side²

Here Side = 24 inch

Sο, Perimeter οf Equilateral Triangle = \(\frac{\sqrt{3} }{4}\) × 24²

=  \(\frac{\sqrt{3} }{4}\) × 24 × 24

= √3 × 24 × 6

= 249.41 inches

Perimeter οr Circumference οf Semi-Circle = πr + 2r

But here Perimeter = πr ( Since the base οf Semi Circle is Cοunted in Perimeter οf Equilateral Triangle)

3.14 × 12

= 37.68 inches

Sο, the perimeter οf Shape

= 249.41 + 37.68

= 286.82 inches

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The minimum number of monthly checks Regina needs to write for the first account to be a better option is 21 or more. Answer C. 21 is one of the suggested choices.

On the basis of the quantity of checks written, we can compare the overall costs of the two accounts.

Let's calculate the total cost for each account based on the given information:

First Account:

Monthly fee: $12

Per-check fee: $0.10

Total cost = Monthly fee + (Per-check fee * Number of checks)

Second Account:

Monthly fee: $9

Per-check fee: $0.25

Total cost = Monthly fee + (Per-check fee * Number of checks)

We must determine the point at which the first account's total cost is less than the second account's total cost. Let's construct the formula:

$12 + ($0.10 * Number of checks) < $9 + ($0.25 * Number of checks)

Simplifying the equation

$12 - $9 < ($0.25 - $0.10) * Number of checks

$3 < $0.15 * Number of checks

Dividing both sides by $0.15:

$3 / $0.15 < Number of checks

20 < Number of checks

Therefore, the minimum number of monthly checks Regina needs to write for the first account to be a better option is 21 or more. Answer C. 21 is one of the suggested choices.

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Answer:$18.90

Step-by-step explanation: Average cost of 1 avocado is $2.10 so you would do $2.10*9

The triangles are similar due to SAS congruence postulate rule.

Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides. The triangles that like one another but may not be exactly the same size are said to be similar triangles. When two objects have the same shape but different sizes, they can be said to be similar. This indicates that identical shapes superimpose one another when enlarged. The term "Similarity" refers to this characteristic of like shapes.

Given triangles are similar due to SAS congruence postulate rule.

SAS or Side-Angle-Side Similarity Criterion,

According to the SAS similarity theorem, If any two of the first triangle's sides are exactly proportional to those of the second triangle, and if the angle created by these two sides of each individual triangle is equal, then the two triangles must be similar triangles.

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Complete question :

The development of AstroWorld ("The Amusement Park of the Future") on the outskirts of a city will increase the city's population at the rate given below in people/year t yr after the start of construction. 5,700√t + 11,000 The population before construction is 67,000. Determine the projected population 16 yr after the construction of the park has begun. people

Answer:

486,200

Step-by-step explanation:

Given that the rate of change in population is represented by the function:

f(t) = 5,700√t + 11,000

To get the original function, we take the integral of the rate function because the rate of change is obtained by taking the derivate of the original equation

f(t) = 5,700t^1/2 + 11,000

Taking the integral of f with respect to t:

∫(5,700t^1/2 + 11,000)

[5700t^(1/2 + 1)] / (1/2 + 1) + 11000t + C

[(5700t^3/2)/ 3/2] + 11000t + C

Where C = constant

If population before construction = 67000

Then C = 67000

t = time = 16 years

Substitute values into the original change equation:

[(5700(16)^3/2)/ 3/2] + 11000t + 67000

[(5700 * 64) / 1.5] + 11000(16) + 67000

243200 + 176000 + 67000

= 486,200

Answer:

i need points

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

\(x = \sqrt{10 {}^{2} - 8 {}^{2} } \)

\(x = \sqrt{100 - 64} \)

\(x = \sqrt{36} \)

\(x = 6\)

The weeks for which the team sold the same amount in percentages of candy bars are A. Weeks 1 and 2.

A percentage is a mathematical expression of the relationship between two numbers or variables.

It is also known as a ratio and is usually denoted as "%."

Week     Amount Sold

Week 1       32%

Week 2    eight twenty-fifths (8²⁰/₅₀)

Week 3 seventeen fifty-firsts (¹⁷/₅₁)

In percentage terms, the sales for each week are as follows:

Week 2    eight twenty-fifths (8²⁰/₅₀)

= 8²⁰/₅₀

= 160/500

= 32%

Week 3 seventeen fifty-firsts (¹⁷/₅₁)

= ¹⁷/₅₁

= 33%

Thus, the weeks for which the team sold the same amount in percentages of candy bars are A. Weeks 1 and 2.

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The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

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The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

Answer: G

Step-by-step explanation: Points are coplanar if they lie on the same plane.

So, G would be a coplanar point with E, F, and H.

Answer:

G

Step-by-step explanation:

i just took the test and got it right! (:

According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.

Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:

n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

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The possible values for the discriminant include the following:

A. -1

D. -18

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.

Discriminant, D = b² - 4ac

In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.

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Complete Question:

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A. -1

B. 3

C. 0

D. -18

Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)

Step-by-step explanation:

Answer:

Step-by-step explanation:

$39

The net worth should be considered as the $39.

We know that

Net worth = Total assets - total liabilities

here,

total assets = checking & savings + baseball card + check for work done

= $275 + $210 + $19

= $504

And, the total liabilities = owe + borrowed

= $415 + $50

= $465

So, the net worth be

= $504 - $465

= $39

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6 is the intersection point mean in the given situation.

Two or more expressions with an Equal sign is called as Equation.

Given that Andre started with $15 and deposits $5 per week.

Noah started with $2.50 and deposits $7.50 per week.

Noah's Savings is given and his equation is y = 7.5x + 2.5, where x represents the number of weeks and y represents his savings.

The equations for Andre's savings is y = 5x + 15

The intersection point of the two equations is the point at which both Andre and Noah have the same amount in their savings.

5x+15=7.5x + 2.5

Subtract 7.5x on both sides

-2.5x + 15 = 2.5

Add 2.5x to both sides

Divide both sides by 2.5

x = 6

Hence, 6 is the  intersection point mean in this situation.

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The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer:

As a claustrophobia, I can ????

O 35°, 35°, 20°

The exponential decay model that represent the amount of iodine-125 remaining in the tumor after t days is A(t) = 0.52 * 0.9885^t

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

According to the data problem,

To write an exponential decay mode we have to use the following formula:

A(t) = A(0) * (1 - r) ^t

Where:

As the tumor is injected with 0.52 grams of Iodine-125:

A(0) = 0.52

Then, the amount of the amount of Iodine-125 has decreased by 1.15%:

r = 1.15/100

r = 0.0115

Using the formula we have:

A(t) = A(0) * (1 - r) ^t

A(t) = 0.52 * (1 - 0.0115) ^t

A(t) = 0.52 * 0.9885^t

If the time passed is 8.5 days we have:

A(t) = 0.52 * 0.9885^t

A(t) = 0.52 * 0.9885^8.5

A(t) = 0.471

It means that 0.471 grams of Iodine-125 are remained in the tumor after 8.5 days

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Correctly written question:

A tumor is injected with 0.52 grams of Iodine-125. After 1 day, the amount of Iodine-125 has decreased by 1.15%.

Write an exponential decay model with A(t) representing the amount of Iodine-125 remaining in the tumor after t days. Enclose arguments of the function in parentheses and include a multiplication sign between terms. For example, c*ln(t).

Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.

Answer:

0,1,2,3............

Answer:

c = 45 and e = 30

Step-by-step explanation:

Since we know that A = 45, B = 90, we can calculate C knowing that the total angle of a triangle is 180, so you do 180-45-90 = 45

Finding the angle C helps us find F by subtracting 45 from 180, since a straight line is 180 degrees, which is 135.

We know that E = 15, and what was said earlier about how the toal angle is 180 in a triangle, we can subtract 15 and 135 from 180, which is 30.

Hope that answers your question

Answer:

I think it is 4:3

Step-by-step explanation:

From $960,000 take away $720,000 and you get $240,000 and that $960,000 divide by $240,000 and you get 4 and you do the same with $720,000 and you get 3

The requried ratio of candidate A's campaign spending to candidate B's campaign spending is 4 : 3.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
During a mayoral election, candidate A spent $960,000 on her campaign, and candidate B spent $720,000 on her campaign.

The ratio of candidate A's campaign spending to candidate B's campaign spending,

= 960000 / 720000

= 96 / 72
= 4 / 3

Thus, the requried ratio of candidate A's campaign spending to candidate B's campaign spending is 4 : 3.

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