Plz answer this i have a test and im lost i will give brainliest

Answer:

25 one degree turns

Step-by-step explanation:

if one degree is one degree than 25 degrees are 25 one degree turns since 25 divided by 1 equals 25

Answer:

25

Step-by-step explanation:

200.60 interest does andy’s account earn.

Let x be the amount of interest earned by Andy's account.

According to the problem, Andy's account earns 0.3% more interest than Marty's account, which means that Andy's account earns the same amount plus an additional 0.3% of that amount. Mathematically, we can express this as:

x = 200 + 0.3% of 200

Simplifying the right-hand side of the equation, we get:

x = 200 + 0.003 × 200

x = 200.60

Therefore, the answer is option 1: 200.60.

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The solution is: Factorization of the polynomial completely is:

2( x+2) (x-1)

Here, we have,

the given polynomial is:

2x^2 +2x-4

now, we have to factorize it completely.

we have,

2x^2 +2x-4

We can factor out a 2

2(x^2 +x-2)

What numbers multiply to -2 and add to 1

=> 2*(-1) = -2

=> 2+ (-1) = 1

=> 2( x+2) (x-1)

Hence, The solution is: Factorization of the polynomial completely is:

2( x+2) (x-1).

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Answer:

36w

Step-by-step explanation:

Answer:

5.17

Step-by-step explanation:

The surface area of a sphere is 4\(\pi\)r².

83.96=4\(\pi\)r²

Divide by 4

20.99=3.14r²

divide by 3.14

6.6847=r²

take the square root

2.585=r

mulitply by 2 (diameter is twice the radius)

5.17

The diameter of the sphere is 5.17 inches.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called as the surface area.

The surface area of a sphere is 4πr².

83.96=4πr²

Divide by 4

20.99=3.14r²

Divide by 3.14

6.6847=r²

Take the square root.

2.585=r

Multiply by 2 (diameter is twice the radius).

r= 2 x 2.585

r = 5.17 inches

Therefore, the diameter of the sphere is 5.17 inches.

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Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

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Answer:

a = b = 3√2

Step-by-step explanation:

Use trigonometry:

\( \sin(45°) = \frac{a}{6} \)

Cross-multiply to find a:

\(a = 6 \times \sin(45°) = 6 \times \frac{ \sqrt{2} }{2} = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)

Use the Pythagorean theorem to find b:

\( {b}^{2} = {6}^{2} - {a}^{2} \)

\( {b}^{2} = {6}^{2} - ( {3 \sqrt{2}) }^{2} = 36 - 9 \times 2 = 36 - 18 = 18\)

\(b > 0\)

\(b = \sqrt{18} = 3 \sqrt{2} \)

Answer:it's the second option

Step-by-step explanation:

-x is already -1 so why would factoring it make it -1 again

Step-by-step explanation:

Given expressions:

1. x² + x

2. 5x² - 25x

3. x² - 16

4. x² + 4x + 4

5. x² - 5x + 6

   Problem: Factor each of the quadratic expression

Solution:

A quadratic expression is an expression whose highest power is two.

1. x² + x

     For this expression:

       x² + x

    Factorizing x since  it is a common term;

       x(x + 1)          

2. 5x² - 25x

    For this expression;

   Factorize 5x since it common to both of them;

      5x(x - 5)

3. x² - 16

    For this expression;

  Apply the differences of two squares;

     x² - 16

     x² - 4²;

    Note;  x² - y²  = (x-y)(x+y)

So, x² - 4² = (x-4)(x + 4)

4. x² + 4x + 4

   To solve this,

     Find two numbers whose product will be 4 and sum also 4;

  x² + 4x + 4 = x² + 2x + 2x + 4

                    = x(x + 2) + 2(x + 2)

                     = (x + 2)(x + 2)

5. x² - 5x + 6

    To factorize this expression, simply find two numbers whose sum is -5 and product is 6;

            x² - 5x + 6 = x² - 3x - 2x + 6

                              = x (x - 3) -2(x - 3)  

                              = (x -2)(x-3)

Answer:

1% are 5 students

Step-by-step explanation:

21% is 96 then

1% is X

X = 1*96 / 21

X = 5

Answer:

do 10 20 20 40 50

Step-by-step explanation:

hope it helps sorry if it does not if not then try 1 2 3 4 5

Answer: 4\(\pi\) m^2

Step-by-step explanation:

The formula to calculate the area of a circle:

\(\pi r^{2}\)

Given that the diameter of a circle is 4, we can work out that r (the radius) is 2.

(The radius is half of the diameter)

Therefore we can plug in our values:

\(\pi 2^{2}\)

\(2^{2}\) = 4

Therefore your answer is:

\(4\pi\) \(m^{2}\)

(Remember your units!)

Answer: A=12.566

Step-by-step explanation:

A=πr^2

R=2

π*4=12.566

I don't know how you want the answer rounded so I just rounded it to the nearest thousandths

Answer

angle 5 = 31°

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

Angles 1, 5, and 6 combine to form a straight line, which is 180 degrees, so add 56 and 93 and subtract that from 180

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

Answer:

Domain { -5,2,7,-2}

Step-by-step explanation:

The domain is the input values, in this case the x values

Domain { -5,2,7,-2}

Answer:

Option C is the correct option.

Step-by-step explanation:

Domain is the set of all values of x

{( -5 , 6 ) , ( 2 , -8 ) , ( 7 , 12 ) , ( -2 , -8 )

⇒ { - 5 , 2 , 7 , - 2 }

Hope I helped!

Best regards!

Answer:

191

Step-by-step explanation:

First, find the common change:

17-14 = 3

20-17 = 3

23-20 = 3

3 is the common change between each term

23 is the 4th term while x is the 60th term, so we solve for x:

First, subtract the term numbers: 60 - 4 = 56

Now multiply the difference by 3, the common change between each term:

56 * 3 = 168

Finally, add the product to the 4th term which is 23:

168 + 23 = 191  ==> the 60th term

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Answer:

The 60th term of the sequence is 191

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed value, called the common difference, to the previous term. In this case, the common difference is 3.

To find the 60th term of the sequence, we can start with the first term (14) and add the common difference (3) 59 times to get the 60th term.

14 + 3(59) = 14 + 177 = 191

Therefore, the 60th term of the sequence is 191.

The difference between the distance travelled by any point on the record and it's label is; 27.57cm.

According to the task content, it follows from observation that the quantity required is the difference between the circumference in each case and can be evaluated as follows;

Difference = π(17.78 - 9)

Difference = (22/7) × 8.78

Difference = 27.57cm.

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Answer:

B, C, E

Step-by-step explanation:

For a rectangle,

area = length × width

Let length = y.

Then the width is y - 5.

A = LW

750 = y(y - 5)

y(y - 5) = 750

y² - 5y - 750 = 0

All equations that can be put in the form above are correct.

A) y(y + 5) = 750

y² + 5y - 750 = 0

No

B) y² – 5y = 750

y² - 5y - 750 = 0

Yes

C) 750 – y(y – 5) = 0

750 - y² + 5y = 0

y²- 5y - 750 = 0

Yes

D) y(y – 5) + 750 = 0

y² - 5y + 750 = 0

No

E) (y + 25)(y – 30) = 0

y² + 25y - 30y - 750 = 0

y² - 5y - 750 = 0

Yes

The two equations which can be used to represent the situation are;

r + s = 1787

4r + 3s = 5,792

The correct answer choice is option B and E

Reserved seat for basketball game = r

Students seat for basketball game = s

Cost of reserved seat tickets = $4

Cost of students tickets = $3

Total number of people who attended the basketball game= 1,787 people

Total amount earned for tickets sales= $5,792

r + s = 1787

4r + 3s = 5,792

Therefore, the basketball game situation can be represented by the equation r + s = 1787; 4r + 3s = 5,792

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The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

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(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

We can prove that P(n; r1, r2, ..., rm) = n!/( r1! r2! · · · rm!) by cancelling out the terms in the product of combinations.

We need to prove that, P(n; r1, r2, ..., rm) = n!/( r1! r2! · · · rm!).

Let us start with the product of combinations:

P(n; r1, r2, ..., rm) = (n!)/(r1!(n−r1)!) × ((n−r1)!)/(r2!(n−r1−r2)!) × ... × ((n−r1−r2−...−rm−1)!)/(rm!(n−r1−r2−...−rm)!).

Now we will look at the cancellation between the denominator of the (i − 1)-st combination and the numerator of the i-th combination in the product of combinations.

For the first combination, we have (n!)/(r1!(n−r1)!).

Now in the second combination, we have ((n−r1)!)/(r2!(n−r1−r2)!), then the denominator of first combination (n−r1)! cancels out with the numerator of the second combination (n−r1)!.

Similarly, for the third combination, we have (n−r1−r2)!/(r3!(n−r1−r2−r3)!), then the denominator of second combination (n−r1−r2)! cancels out with the numerator of the third combination (n−r1−r2)!.

By repeating this process, we can cancel out all the terms in the product of combinations. So, we get the final result as,

P(n; r1, r2, ..., rm) = n!/( r1! r2! · · · rm!).

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Answer:

decreased

Step-by-step explanation:

Answer:

The  test is a two -tailed test

Step-by-step explanation:

From the question we are told that

    The  sample size is n  =  31

     The  sample mean is  \(\= x =11\)

      The sample standard deviation is  \(\sigma = 3\)

       The null hypothesis is  \(H_o: \mu \le 10\)

         The  alternative hypothesis is  \(H_1 : \mu > 10\)  

         The level of significance is \(\alpha = 0.05\)

The test  statistics is mathematically represented as

       \(t = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } }\)

substituting values

      \(t = \frac{ 11 - 10 }{ \frac{3}{\sqrt{ 31} } }\)

     \(t = 1.85\)

The  p- value is mathematically represented as

       \(p-value = p( t > 1.856) = 0.0317\)

Looking at the value of  \(p-value \ and \ \alpha\) we see that \(p-value < \alpha\) hence we reject the null hypothesis

Given the that the p value is less than 0.05 it mean the this is a two-tailed test

a. The equation that relates Ann's age (x) and Tom's age (y) is a line

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

From the table, the line passes through the points (4, 8) and (8, 12), then its slope is:

Substituting with m = 1 and the point (4, 8) into the general equation, we get:

8 = 1(4) + b

8 = 4 + b

8 - 4 = b

4 = b

Finally, the equation that compares Tom's and Ann's age is:

y = x + 4

b. To graph the line y = x + 4, we need to draw two points and then connect them with a line. Replacing with x = 0 into the equation:

y = 0 + 4

y = 4

then, the point (0, 4) is on the line. And we can also use the point (4,8)

Answer:

x=6

Step-by-step explanation:

Using expression 3 x 14, The rate chart will be

Number of Scoops of Coffee Grounds 18 24 30 36 42.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and operations (such as addition, subtraction, multiplication, division, and exponentiation) that represents a mathematical phrase or idea. Expressions can be simple or complex and may involve functions, trigonometric functions, logarithms, and other mathematical operations.

Now,

To find the number of scoops of coffee grounds needed for 14 pots of coffee, we can use proportional reasoning and set up a proportion:

Number of scoops of coffee grounds / Number of pots of coffee = 18 / 6

Simplifying the fraction on the right side of the equation gives us:

Number of scoops of coffee grounds / Number of pots of coffee = 3

To solve for the number of scoops of coffee grounds needed for 14 pots of coffee, we can multiply both sides of the equation by 14:

Number of scoops of coffee grounds / Number of pots of coffee = 3

Number of scoops of coffee grounds / 14 = 3

Number of scoops of coffee grounds = 3 x 14

Number of scoops of coffee grounds = 42

So the completed rate chart is:

Number of Pots of Coffee 6 8 10 12 14

Number of Scoops of Coffee Grounds 18 24 30 36 42.

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