A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 35 ft long and 28 ft wide.
Find the area of the garden. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer

The length of the rectangle-shaped classroom is 15 meters.

We have a classroom. The shape of the classroom is rectangular. The length of the classroom is 3 meters more as compared to its width. The area of the rectangular classroom is 180 square meters. We need to find the length of the classroom.

Let the width of the rectangle be represented by the variable "x". The length of the rectangle is "x + 3". We will use the formula for the area of a rectangle. The area of a rectangle is the product of its length and width.

A = x*(x + 3)

180 = x² + 3x

x² + 3x - 180 = 0

We will use the quadratic formula to solve for the values of "x".

x = [-3 ± √(3² - 4(1)(-180))]/2(1)

x = [-3 ± √(9 + 720)]/2

x = [-3 ± √729]/2

x = [-3 ± 27]/2

The values of the variable "x" are -15 and 12. The negative value is rejected because the measure of a dimension cannot be negative. Hence, the value of "x" is 12. The length of the rectangular classroom is x + 3 = 12 + 3 = 15 meters.

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The options given in the question are wrong. The correct answer should be 25

The value of x is 25

(x-7)2 = 36

x-7 = 36/2

x-7 = 18

x = 18+7

x = 25

We can solve the linear equation in one variable by moving the variables to one side of the equation, and the numeric part on the other side of the equation. For example, x - 1 = 5 - 2x can be solved by moving the numeric parts on the right-hand side of the equation which is summed up to be 6, while keeping the variables on the left side which sums up to be 3x. Hence, we get x + 2x = 5 + 1. Thus, 3x = 6. This gives x = 2.

Similarly, we got the value of x which is 25.

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Answer:

f(-2)= -2

f(-0.75)= -1

f(1)= 1

The required solution is 0.02 to the given numerical expression [1/(9-2)]².

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.

For example 4/2 = 2

The numerical expression is given in the question as:

⇒ [1/(9-2)]²

We have to determine the solution to the given expression

As per the question,

⇒[1/(9-2)]²

⇒[1/7]²

⇒1/49

Apply the division operation to get the solution

⇒0.02040

Rounded to the nearest hundredth

⇒0.02

Thus, the required solution is 0.02 to the given numerical expression.

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Answer:

she can just copy and paste by holding right click and dragging across all of document A and hit ctrl c then ctrl v at the bottom of document B

The velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The time = 3.4 seconds

There is no air resistance.

v = 32t

v = 32(3.4)

v = 108.8 m/s

T = D/S = 50/108.8 = 0.45 seconds

Thus, the velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.

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Answer:

2/9 of the bleachers are rooting for the home team!

1) The interest that will accumulate for Marlie during the 4.5-year non-payment period is $3,629.34.

2a) The new principal when Marlie begins making loan payments will be $22,429.34.

2b) Marlie will pay an additional $9,622.19 in interest for 10 years, including the 4.5-year period interest of $3,629.34 to make a total of $13,251.53.

3. If Marlie paid interest during the 4.5-year period, the total interest she will pay, thereafter, is $8,065.20.

4. Marlie's only interest payment due on January 1 is $67.21.

5a) With a private loan at 7.8% APR, Marlie's monthly payment is $226.11.

5b) The total amount Marlie will pay back with a private loan at 7.8% APR is $27,133.67.

5c) Based on a private loan, Marlie's total interest is $8,333.67.

The interest on federal student loans is based on simple interest, unlike the interest on private loans, which is compounded.

We can compute simple interest using the simple interest formula (PRT/100) and compounded interest using an online finance calculator.

Student loan amount = $18,800

Interest rate = 4.29%

Non-payment period = 4.5 years

Loan repayment period = 10 years

Interest for the 4.5-year non-payment period = $3,629.34 ($18,800 x 4.29% x 4.5 years)

New Principal after 4.5 years = $22,429.34 ($18,800 + $3,629.34)

Additional interest on the loan after 4.5 years = $9,622.19 ($22,429.34 x 4.29% x 10 years).

Total interest = $13,251.53 ($9,622.19 + $3,629.34)

Interest for 10 years on principal = $8,065.20 ($18,800 x 4.29% x 10 years).

Only Interest monthly payment = $67.21 ($18,800 x 4.29% x 1/12)

N (# of periods) = 120 months (10 years x 12)

I/Y (Interest per year) = 7.8%

PV (Present Value) = $18,800

FV (Future Value) = $0

Results:

Monthly payments (PMT) = $226.11

Sum of all periodic payments = $27,133.67

Total Interest = $8,333.67

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Using mathematical operations, we know that the store can sell its drinks in a total of 112 ways.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

So, all the possible ways in which a customer can order a drink:
We know that:

This store sells 4 drinks.

The store has 4 different sizes of drinks.

The store sells 7 flavors.

Then, the total ways will be:

4 × 4 × 7

112

Therefore, using mathematical operations, we know that the store can sell its drinks in a total of 112 ways.

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The numbers has been plotted on the number line and the order of the numbers from least to greatest is -28 < -25 < -22 < -21

The given numbers are

-22, -28, -21  and -25

The inequality is the mathematical statement that shows the relationship between one expression and another expression with inequality sign. The inequalities maybe less than, less than or equal, greater than, greater than or equal . The equal sign will not be a part of inequality

The numbers are

-22, -28, -21  and -25

Plot the numbers in the number line

The order of the numbers from least to greatest is -28 < -25 < -22 < -21

Hence, the numbers has been plotted on the number line and the order of the numbers from least to greatest is -28 < -25 < -22 < -21

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Step-by-step explanation:

v+27°+4v+39+11v=180°

v+4v+11v+27°+39°=180°

16v+66=180°

16v=180°-66

16v=114

16v÷16=114÷16

v=7.125

Answer:

y = 0.54, x = 4.51

The main features that can be easily seen then a quadratic function is given are parabola, axis of symmetry, a maximum OR minimum value, and an y-intercept of the graph.

A quadratic function is in the form ax²+bx+c=y where a, b and c are real integers.

How to find the features of a quadratic equation?

Every quadratic equation has the following features:

When the quadratic function is graphed, it will enable us to find the other features of the function when these are identified.

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Answer:

$25.67

Step-by-step explanation:

120 - 43 = 77

77/3 = 25.67

Answer:

Positive

Step-by-step explanation:

Appears to be a POSITIVE correleation

   as height increases   so  does weight

The expression of time taken for the submarine to descend in

d(t)= mt + b  is

data gotten from the question

after 2 minutes a submarine had descended -390 feet

-390 = 2m + b

after 9 minutes the submarine had descended to -600 feet

-600 = 9m + b

The data from the question gives two linear equations with two unknown

-600 = 9m + b

-390 = 2m + b

solving the equations gives

m = -30

b = -330

the equation is then written as

d(t) = -30t - 330

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The probability that the song that was picked was one she liked or one she has not heard but did not enjoy is 17/22.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

Total number of songs = 22

Probability of liked song  = 10/22

The probability of she has not heard but did not enjoy =  7/22

The probability that the song that was picked was one she liked or one she has not heard but did not enjoy:

= 10/22 + 7/22

= 17/22

Thus, the probability that the song that was picked was one she liked or one she has not heard but did not enjoy is 17/22.

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The result of the expression [tex]a^2bc[/tex] when a =3, b= -14 and c = -6 is 756

The expression is

[tex]a^2bc[/tex]

The expression is the mathematical statement that consist of different variables, numbers and mathematical operators. The mathematical operator are addition, subtraction, division and multiplication. The equal sign or inequality signs will not be a part of expression

The expression is

[tex]a^2bc[/tex]

The value of a = 3

The value of b = -14

The value of c = -6

Substitute the values in the expression

[tex]a^2bc[/tex] = [tex]3^2[/tex] × -14 × -6

= 9 × -14 × -6

= 756

Hence, the result of the expression [tex]a^2bc[/tex] when a =3, b= -14 and c = -6 is 756

The complete question is:

Evaluate [tex]a^2bc[/tex] if a=3, b=-14 and c=-6

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Answer:

  3, 4, 5

Step-by-step explanation:

You have parallel lines crossed by a transversal, and one obtuse angle marked as 99°. You want the angle designators of the congruent angles.

Where a transversal crosses parallel lines, corresponding angles are congruent. In this figure, angle 3 corresponds to the one marked 99°, so it is congruent.

Anywhere that lines cross, vertical angles are congruent. Angles 3 and 4 are vertical angles, as are angle 5 and the one marked 99°.

Hence angles 3, 4, 5 are all congruent to the one marked 99°.

__

Additional comment

You may have observed that the listed congruent angles are all of the obtuse angles in the figure. Similarly, all acute angles in the figure are congruent. Since the acute and obtuse angles are supplementary (form linear pairs), angles 1, 2, 6, 7 are all 81°.

Answer: (8,3)

Step-by-step explanation:

See the picture attached

Answer: d> 5 1/2

Step-by-step explanation:

34 + (12 × d) > 100

34 + 12d > 100

12d > 100 - 34

12d > 66

d > 66 / 12

d > 5 1/2 days

Therefore, the number of days, (d), it will take Katie to collect over 100 seashells is 5 1/2 days.

Answer:

three

Step-by-step explanation:

o 13, 19, 7

The graph of the given logarithmic function is (see in attachments).

Graph:

In mathematics, a graph is an orderly visual representation of any data. The graph shows how the variable quantities are related to one another. A graph is used in graph theory to represent the collection of objects that are interconnected in some way. The edges between the nodes reflect the connections between the nodes, while the vertices or nodes of the objects are essentially mathematical concepts.

Numerous types of graphs are used to visually display data in mathematics and statistics. Graph theory is the study of points and lines. It is a field of mathematics that focuses on graph analysis.

This image provides a visual representation of the mathematical truth. Graph theory is a method for studying relationships.

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Ooo this is like a riddle. Let me attempt to answer:

Let's start with one of the brothers. That's 1 child. There has to be 1 more brother for each brother to have one other brothers. Then for that brother to have two sisters, they have to have two girls. This is 4 children.

Now from a girl's perspective. You are a girl so you are already 1 child. To have one brothers, there has to be 1 boy. Then to have two sisters, there has to be two additional girls. That's 3 girls and one boy - which are still 4 children in all.

Of course two parents are two parents for all.

The fewest number of children the parents have is 4

I hope this helps!

The number of three letter words that can be formed from the 4 letters "FGHI" is

(a) when repetition allowed is 64

(b) when repetition not allowed is 24 .

In the question ,

the four letters are given as "FGHI" ,

we need to find the how many 3 letter words  can be formed ,

(a) when repetition is allowed

= (selecting a letter from 4 given letters)×(selecting a letter from 4 given letters)×(selecting a letter from 4 given letters) .

= ⁴C₁ × ⁴C₁ × ⁴C₁

= 4 × 4 × 4              .... because ⁴C₁ = 4

= 64

(b)  when repetition not allowed

= (selecting a letter from 4 given letters)×(selecting a letter from the remaining 3 letters)×(selecting a letter from the remaining 2 letters)

= ⁴C₁ × ³C₁ × ²C₁

= 4 × 3 × 2

= 24

Therefore , The number of three letter words that can be formed from the 4 letters "FGHI" is  (a) when repetition allowed is 64  , (b) when repetition not allowed is 24 .

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The weight of each small box is 25 pounds while the weight of each large box is 45 pounds

We know that we can be able to find the mass of each type of box from the use of simultaneous equations. Al we need to do is to form two systems of equations. Let the weight of each small box be x and the weight of each large box be y then;

x + y = 70 ------ (1)

50x + 70y = 4000 ----- (2)

x = 70 - y ------ (3)

Substitute equation (3) into (2)

Then;

50(70 - y) + 70y = 4000

3500 - 50y + 70y = 4000

20y = 4000 - 3500

20 y = 500

y= 25

Then substitute y = 25 into equation (1)

x + 25 = 70

x = 70 - 25

x = 45

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Answer:

The correct answer is 0.00604

Step-by-step explanation:

Tip: Think of how a number line is displayed: negative numbers are on the left side of the mid-point, zero in most cases, and positives numbers are to the right of the mid-point.

Since the exponent is a negative number, you know that you need to move the decimal point to the left the same number of places as the exponent. In this problem, the exponent is –3, meaning that you need to move the decimal point 3 places to the left.

*Remember to fill in any gaps with a zero after moving the decimal point.* Your answer should look like this: 6.04 in standard form is 0.00604

Hope that helps! Have an amazing rest of your day! Brainliest welcome! :)

Answer:

From least to greatest

= -7, -3, 2, 5

Absolute values from least to greatest

= 2, 3, 5, 7

(Absolute value is the distance of a number from 0 in the number line regardless of the direction, so I think this is the answer)

Answer:

2 + (-10) = 2 - 10 = -8

Answer:

d = 24

Step-by-step explanation:

[tex] \rm \implies - \dfrac{2}{3} d - \dfrac{1}{4} d = - 22 \\ \\ \rm \implies - \frac{2}{3} d \times \frac{4}{4} - \frac{1}{4} d \times \frac{3}{3} = - 22 \\ \\ \rm \implies - \frac{8}{12} d - \frac{3}{12} d = - 22 \\ \\ \rm \implies \frac{ - 8d - 3d}{12} = - 22 \\ \\ \rm \implies \cancel{- } \frac{11}{12} d = \cancel{-} 22 \\ \\ \rm \implies d = 22 \times \frac{12}{11} \\ \\ \rm \implies d= 2 \times 12 \\ \\ \rm \implies d= 24[/tex]