NAME THE PARTS OF THE CIRRCLR​

Answer:

156 ft²

Step-by-step explanation:

Given :

The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.

The 2 triangular sides have a base of 3 feet and height of 4 feet

We sum the area of each side:

Area of triangular side = 1/2 * base * height

Since there are 2 triangular sides :

Total area of triangular side = 2(1/2 * base * height)

Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²

Area of rectangle sides = lengtb * width

Area 1 = 12 * 3 = 36 ft²

Area 2 = 12 * 5 = 60 ft²

Area 3 = 12 * 4 = 48 ft²

Total = 12 + 36 + 60 + 48 = 156 ft²

the function f(x) that satisfies f'(x) = -sin(x) + 2x and f(0) = 5 is:

f(x) = cos(x) + x^2 + 4

To find the function f(x) given its derivative f'(x), we can integrate f'(x) with respect to x.

Given f'(x) = -sin(x) + 2x, we will integrate both sides of the equation:

∫ f'(x) dx = ∫ (-sin(x) + 2x) dx

The integral of -sin(x) with respect to x is cos(x), and the integral of 2x with respect to x is x^2.

So we have:

f(x) = cos(x) + x^2 + C

To find the constant C, we use the initial condition f(0) = 5. Substituting x = 0 and f(x) = 5 into the equation, we get:

5 = cos(0) + 0^2 + C

5 = 1 + C

C = 4

Therefore, the function f(x) that satisfies f'(x) = -sin(x) + 2x and f(0) = 5 is:

f(x) = cos(x) + x^2 + 4

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Yes..............................

The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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or, 2z + 2z - 64° = 180°

or, 4z = 180° + 64°

or, 4z = 244°

or, z = 61°

The value of z is 61°.

Hope it helps.

Do comment if you have any query.

The volume of the cylinder is 72π cubic inches.

We have,

The formula for the volume of a cylinder is given by V = πr²h,

Where r is the radius of the base and h is the height or length of the cylinder.

Given that the radius r = 3 in and the height h = 8 in, we can substitute these values in the formula and calculate the volume as follows:

V = πr²h

V = π(3 in)²(8 in)

V = π(9 in²)(8 in)

V = 72π in³

Therefore,

The volume of the cylinder is 72π cubic inches.

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1. Convert the fraction to a decimal: Divide the numerator by the denominator.

2. Add this decimal number to the whole number part of the mixed number.

Example: Convert the mixed number 7 1/4 to a decimal

Step One: Convert the fraction to a decimal: Divide 1 by 4

1 ÷ 4 = 0.25

Step two: Add 0.25 to the whole number 7:

7 + 0.25 = 7.25

Answer:

if you bought 60 feet of copper pipe at $1.25 per foot, the total price would be $75

Step-by-step explanation:

since you are buying 60 feet of copper pipe, you would multiply the amount at which it costs per foot. 60×1.25=75

hope this helps!

Answer:

58/5

Step-by-step explanation:

The distributive property states that we can distribute a factor across a sum or difference, add or subtract like terms by adding or subtracting their coefficients and The power rule states that when raising a power to another power, we multiply the exponents. and Algebraic Properties explained as

Journal Entry 1:

Today, I learned about the algebraic properties of addition and multiplication. These properties are commutative, associative, and distributive. The commutative property states that the order in which we add or multiply numbers does not affect the result. For example, 2+3 is the same as 3+2, and 2x3 is the same as 3x2. The associative property states that we can group numbers in different ways without changing the result. For example, (2+3)+4 is the same as 2+(3+4), and (2x3)x4 is the same as 2x(3x4). The distributive property states that we can distribute a factor across a sum or difference. For example, 2x(3+4) is the same as 2x3 + 2x4.

Journal Entry 2:

Today, I learned about algebraic expressions and how to simplify them using the properties of addition and multiplication. An algebraic expression is a combination of numbers, variables, and operations. For example, 2x + 3y - 4z is an algebraic expression. To simplify an expression, we use the properties of addition and multiplication to combine like terms and simplify the expression as much as possible. Like terms are terms that have the same variables raised to the same powers. For example, 2x and 5x are like terms, but 2x and 5y are not. We can add or subtract like terms by adding or subtracting their coefficients. For example, 2x + 5x is 7x. We can also multiply terms by using the distributive property. For example, 2(3x + 4y) is 6x + 8y.

Journal Entry 3:

Today, I learned about algebraic expressions with exponents. An exponent is a small number written to the right of a base number that indicates how many times to multiply the base by itself. For example, in 2³, the base is 2 and the exponent is 3. To simplify an expression with exponents, we use the properties of exponents, such as the product rule and the power rule. The product rule states that when multiplying two powers with the same base, we add their exponents. For example, 2³ x 2² is 2^(3+2) or 2^5. The power rule states that when raising a power to another power, we multiply the exponents. For example, (2²)³ is 2^(2x3) or 2^6. We can also simplify expressions with exponents by combining like terms, just like we did with expressions without exponents.

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1.2.4Journal: Algebraic Properties and ExpressionsJournalAlgebra I Sem 1Name:Date:Scenario:The ArcadeInstructions:

•View the video found on page 1 of this journal activity

.•Using the information provided in the video, answer the questions below

.•Show your work for all calculation

Answer:

13,161.5

Step-by-step explanation:

5x3= 15 then go over and carry the one then do 5x9= 45+1= 46 then go over to 3 and carry the four and 5x3= 15+4= 19 put 9 down and carry the one then 5x3= 10+1= 11 after x the 0 the repeat what you did and add up the final numbers so 239.5x 55= 13161.5

Answer:

3/2

Step-by-step explanation:

Given:

The given ratio is 6:4

To find:

The simplified fraction.

Solution:

Simple fraction is the rational number which is written in the form p/q ; where p = numerator, q = denominator and they both are integers.

Denominator can never be zero.

Simple fraction can also be called as Common or Vulgar fraction.

The given ratio can be written in the fractional form as follows:

6 : 4 = 6/4

Prime factorization of 6 : 2 x 3

Prime factorization of 4 : 2 x 2

6/4 = (2 x 3) / (2 x 2)    [ Cancelling 2s]

        = 3/2

Therefore, the fully simplest fraction of the given ratio 6:4 is 3/2.

if n decreases then the value of level of significance of each samples \(\alpha\) decreases

1. Critical Value: The value of the statistic for which the test just rejects the null hypothesis at the given significance level.

2. Power of the Test: The probability that the test correctly rejects the null hypothesis when the alternative is true.

3. Significance Level: The prescribed rejection probability of a statistical hypothesis test when the null hypothesis is true.

4. Size of the test: The probability that the test incorrectly rejects the null hypothesis when it is true.

if n decreases then the value of level of significance of each samples \(\alpha\) decreases and hence 1- \(\alpha\) increases which are called the rejection of test sample increases

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Answer: 1/2

Step-by-step explanation : change in y over change in x 14-10/ -5 - (-3)

4/8 = 1/2

a) , 36 : '22 in its simplest form is 18 : 11., d) the mean is 301.25.

a) To express 36 : '22 in its simplest form, we need to find the greatest common divisor (GCD) of 36 and 22. The GCD of 36 and 22 is 2. Divide both numbers by the GCD to simplify the fraction. 36 ÷ 2 = 18 and 22 ÷ 2 = 11. So, 36 : '22 in its simplest form is 18 : 11.

b) To express the fractions x 3 2 and I in equivalent fractions with a denominator of 20, we need to multiply the numerator and denominator by the same number. For x 3 2, multiply both the numerator and denominator by 10. This gives us x 3 2 = 10 x 3 2 ÷ 2 10 ÷ 2 = 15 1. For I, multiply both the numerator and denominator by 20. This gives us I = 1 x 20 2 x 20 = 20 40.

c) To evaluate Workout;+;—§, substitute the values into the expression: 2 + 5 - 4 ÷ 2. Start by performing the division: 4 ÷ 2 = 2. Then, perform the addition: 2 + 5 = 7. Finally, perform the subtraction: 7 - 2 = 5.

d) To find the mean of the dataset: 301, 285, 21, 351, 35, 2135, 311, 25, 45, 310, 301, 305, add up all the numbers and divide by the total number of values. Adding all the numbers together gives us 3615. Since there are 12 numbers in the dataset, the mean is 3615 ÷ 12 = 301.25. Rounded to two decimal places, the mean is 301.25.

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Based on the AA Similarity Theorem, triangles PQR and TSR are proven to be similar to each other because they have two pairs of corresponding angles that are congruent to each other.

The AA (Angle-Angle) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This means that the corresponding sides of the triangles are in proportion to each other.

With the information given, the proof that shows that the two triangles are similar as as follows:

Statements                                         Reasons                                        

1. ∠QPR ≅ ∠STR                                1. Given

2. QR ⊥ PT                                         2. Given

3. ∠QRP ≅ ∠SRT                               3. def. of perpendicular

4. ΔPQR ~ ΔTSR                                4. AA Similarity Theorem

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The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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It will cost $20 to waterproof the canvas truck cover. To calculate the cost of waterproofing a canvas truck cover, we need to determine the total area of the cover and then multiply it by the cost per square yard.

First, let's convert the dimensions of the truck cover from feet to yards. Since 1 yard is equal to 3 feet, the dimensions of the truck cover are: Length = 15 feet = 15/3 = 5 yards; Width = 24 feet = 24/3 = 8 yards. Next, we calculate the total area of the truck cover by multiplying the length and width: Area = Length x Width = 5 yards x 8 yards = 40 square yards.

Finally, we multiply the total area by the cost per square yard to determine the cost of waterproofing the truck cover: Cost = Area x Cost per square yard = 40 square yards x $0.50 = $20. Therefore, it will cost $20 to waterproof the canvas truck cover.

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The five sets given in the problem were analyzed to determine if they are subspaces of c[−1, 1]. It was found that the first, second, and fourth sets are subspaces of c[−1, 1], while the third and fifth sets are not subspaces of c[−1, 1].

Subspaces of c[−1, 1] can be determined by checking if they satisfy the following three conditions:

The following are the subspaces of c[−1, 1]:

(a) The set of functions f in c[−1, 1] such that f(−1) = f(1).

This is a subspace of c[−1, 1].

Let f and g be two functions in the set. Then, (f+g)(−1) = f(−1) + g(−1) = f(1) + g(1) = (f+g)(1).

Thus, the set is closed under addition. Also, if k is a scalar and f is a function in the set, then

(kf)(−1) = kf(−1) = kf(1) = (kf)(1).

Thus, the set is closed under scalar multiplication.

Finally, the zero function in c[−1, 1] satisfies f(−1) = f(1) and hence belongs to the set.

Therefore, the set is a subspace of c[−1, 1].

(b) The set of odd functions in c[−1, 1]. This is a subspace of c[−1, 1].

Let f and g be two odd functions in the set. Then, (f+g)(−x) = f(−x) + g(−x) = −f(x) − g(x) = −(f+g)(x).

Thus, the set is closed under addition.

Also, if k is a scalar and f is an odd function in the set, then,

(kf)(−x) = kf(−x) = −kf(x) = (kf)(x).

Thus, the set is closed under scalar multiplication.

Finally, the zero function in c[−1, 1] is odd and hence belongs to the set.

Therefore, the set is a subspace of c[−1, 1].

(c) The set of continuous nondecreasing functions on [−1, 1]. This is not a subspace of c[−1, 1].

For example, the functions f(x) = x and g(x) = 2x − 1 are both continuous and non-decreasing on [−1, 1], but their sum f+g is not nondecreasing on [−1, 1].

(d) The set of functions f in c[−1, 1] such that f(−1) = 0 and f(1) = 0. This is a subspace of c[−1, 1].

Let f and g be two functions in the set. Then,

(f+g)(−1) = f(−1) + g(−1) = 0 + 0 = (f+g)(1).

Thus, the set is closed under addition.

Also, if k is a scalar and f is a function in the set, then,

(kf)(−1) = k(f(−1)) = 0 = (kf)(1).

Thus, the set is closed under scalar multiplication.

Finally, the zero function in c[−1, 1] satisfies f(−1) = 0 and f(1) = 0 and hence belongs to the set.

Therefore, the set is a subspace of c[−1, 1].

(e) The set of functions f in c[−1, 1] such that f(−1) = 0 or f(1) = 0. This is not a subspace of c[−1, 1].

For example, the functions f(x) = x and g(x) = −x are both in the set, but their sum f+g is not in the set because

(f+g)(−1) = 0 and (f+g)(1) = 0, but

(f+g)(0) = 0 + 0 = 0,

which means that f+g is not in the set.

Therefore, out of the five sets given in the problem, only the first, second, and fourth sets are subspaces of c[−1, 1].

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Answer:

Answers Below. Have a wonderful day!

Step-by-step explanation:

They undergo internal fertilization: True Most reptiles undergo internal fertilization sexually when the sperm of a male reptile enters the cloaca of female reptiles, fertilizing the egg.

Their urine is concentrated: False Reptiles do not have the ability to produce liquid urine that is more concentrated than their own body fluid because they lack a structure in their nephron called the Loop of Henle.

They use their skin for gas exchange: False They cannot use their skin as an organ of gas exchange. Reptiles depend entirely on their lungs for this.

They have two-chambered hearts: False They have three-chambered hearts.

They are covered in scales: True All reptiles are covered in scales (snakes, lizards, turtles, etc.)

Answer:

1 and 5

Step-by-step explanation:

i did the test

Using proportions, it is found that he would have to ride his bike 3 miles a day to meet his goal.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

He has already ridden the bike for 6 miles, and needs to run 21 - 6 = 15 miles in 5 days, hence the average is given by:

x = 15/5 = 3 miles a day.

He would have to ride his bike 3 miles a day to meet his goal.

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Answer:

x + y = 1 x - y = 1

Step-by-step explanation:

complicated to explain, but I have a calculator thats online taht can help you solve these questions in the future. It is called 'mathsolver'

For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\)  is  \($\sin^{-1}\frac{x}{a} + C$.\)

A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.

The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.

For given problem,

\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)

Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)

\($= \int d\theta$\)

\($= \theta + C$\)

Substituting back for\($x = a\sin\theta$:\)

\($= \sin^{-1}\frac{x}{a} + C$\)

Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)

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Answer:

double down invest even more

Answer:

12

Step-by-step explanation:

its an equal at equallrateral triangle

Answer:

x = 12

Step-by-step explanation:

Since the 3 angles in Δ ABC are congruent, then the triangle is equilateral.

The sides of an equilateral triangle are also congruent, thus

x = 12

Solution:

Given:

Solving using Pythagoras theorem~

Now, solve for perimeter by substituting into the term '4s'.

Hence, the perimeter of the square is 60 units.

The amount of money I would repay in the first month is $166.67.

The amount of money I would repay in the second month is $166.67.

The amount of money I would repay in the third month is $166.66.

In order to determine the money that would be repaid each of the first two months, multiply 1/3 by the amount of the loan.

1/3 x $500 = $166.67

Amount to be repaid in the third month = $500 - (166.67 x 2) = $166.66

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Answer:

- 39

Step-by-step explanation:

Step 1:

2x + 6 = - 72         Equation

Step 2:

2x = - 78      Subtract 6 on both sides

Step 3:

x = - 78 ÷ 2         Divide

Answer:

x = - 39

Hope This Helps :)

Answer:

2x+6=-72

-6 -6

6 cancles out on the left side.

2x=-78

divide 2 on each side

66/2=-39

Answer:

the number of recruits neither be college graduate and nor army veterans is 30

Step-by-step explanation:

The computation of the number of recruits neither be college graduate and nor army veterans is as follows;

= Total recruits - (college students + army veterans - both college graduates & army veterans)

= 120 recruits - (80 + 25 - 15)

= 120 recruits - 90  

= 30

hence, the number of recruits neither be college graduate and nor army veterans is 30