i need help on this question for algebra

Answer:

80π

Step-by-step explanation:

Circle O with radius IO:

large radius = IO = 12 = R

Circle O with diameter JK

IJ = JK = KL = 2 × IO = 24

IJ = JK = KL = 24/3 = 8

small radius = 8/2 = 4 = r

The shaded area is a semicircle of radius 12 minus a semicircle of radius 4 plus two semicircles of radius 4.

That is the same as

1 semicircle of radius 12 plus 1 semicircle of radius 4

A = πR²/2 + πr²/2

A = π(12² + 4²)/2

A = 160π/2

A = 80π

If line J is perpendicular of line K, they should cross to make an X. If the slope of line K is -5, Line J would be 5.

The statements that are true are B, C, and F.

Here we have the exponential function:

[tex]f(x) = 4*5^x[/tex]

We can see that the initial value is 4, and the base is 5. Because the base is larger than 1, this is an exponential growth function.

The statements that are true are:

B: The domain of an exponential function is always the set of all real numbers.

C: Is an exponential growth, so yes, it is increasing.

F: The y-intercept is given by evaluating the function in x = 0, when you do that, you get the initial value, which is 4. So the y-intercept is (0, 4).

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Answer:

17a^2b

Step-by-step explanation:

Difference = subtracting

12a ^2b - (-5a^2b)

12a ^2b + 5a^2b

17a^2b

Answer: $12.63

Step-by-step explanation:

$14.87 + $7.76 = $22.63

2pizzas x $5 = $10

$22.63 - $10 = $12.63

The height of 70 inches, and location of the wristband as well as the period of 15 seconds gives the function for the height of the wristband as the equation;

The model for the height can be derived from the general form of the sine function as follows;

Maximum point = 70 - 4 = 66 at t = 0

Minimum point = 4

Amplitude, A = (66 - 4) ÷ 2 = 31

D = 4 + 31 = 35

At t = 0, we have;

66 = 31 × sin(B × 0 - C) + 35

31 = 31 × sin(- C)

sin(- C) = 1

C = -π/2

1 minute = 60 seconds

1 second= 1 minute/60

15 seconds = (15/60) minutes

Period = 15 seconds = 15/60 minutes

Period = 2•π/B

Therefore;

15/60 = 2•π/B

1/4 = 2•π/B

B = 2•π/(1/4) = 8•π

y = Height of the function

Let h represent the height of the wristband.

The equation for the height is therefore;

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Length = 7 + 2x [L]

Breadth = 6 + x [B]

So, Area = L × B

=> Area = (7 + 2x) (6 + x)

=> Area = 7 × 6 + 7x + 2x × 6 + 2x²

=> Area = 42 + 7x + 12x + 2x²

=> Area = 2x² + 19x + 42

Option B is correct.

Any questions, you may ask.

Answer: b.) 2x² + 19x + 42

Area of rectangle:

⇒ Length × Width

⇒ (6 + x) × (7 + 2x)

⇒ 6(7) + 6(2x) + x(7) + x(2x)

simplify

⇒ 42 + 12x + 7x + 2x²

arrange

⇒ 2x² + 19x + 42

The mean of the heights of roller coaster is 27.92 feet, median is 21, mode is 16 and mid range is 35.5.

Given heights in feet of 14 roller coaster 11,12,13,14,16,21,25,26,31,40,51,55,60.

We have to calculate the mean, median, mid range and mode for the data.

Mean is the sum of numbers divided by the numbers.

Mean=∑X/n

∑X=11+12+13+14+16+21+25+26+31+40+51+55+60

=391

n=14

Mean=391/14

=27.92 feet.

Median is the central value of the data given.

Median=(n/2)th term ,when  n is even, ( n/2)th term, (n+1)/2th term when n is odd.

Median=14/2th term=7th term which is 21.

Mode is the number which has higher frequency.

Mode is 16 because it comes 2 times.

Mid range is the sum of upper value and lower value of data divided by 2.

Mid range=(11+60)/2==35.5.

Hence the mean is 27.92 feet, median is 21 feet, mid range is 35.5 feet, mode is 16 feet.

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Question is incomplete as the values of height should be included as under:

11,12,13,14,16,16,21,25,26,31,40,51,55,60.

Answer:

x = 0

Step-by-step explanation:

if 2y + x = 4

we can assume that y = 2
if y - 3x = 2

it means 2 - 0 = 2

therefore x = 0

Answer:

Just look at the other answer

Step-by-step explanation:

Answer:

f is always positive on the interval.

Step-by-step explanation:

Answer: 55°

Step-by-step explanation:

Hi!

since an angle bisector splits it in half,

110°, being the entire angle divided by 2 = 110/2 = 55°

Answer:

Vertical angles are equal

Step-by-step explanation:

-

[tex]vertical \: angles \: are \: equal[/tex]

[tex]3y = 150[/tex]

The sum of two supplementary angles equals 180 degrees

Therefore 6x +150=180

Answer:

22.25

Step-by-step explanation:

take the two values away

the sector is the full address , the triangle is in it. the segment is the bit left near the circumference

Answer:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school? and "how old are you?" are statistical questions.

Step-by-step explanation:

We have that x = 3, LM = 14 and LN = 2. options A, C and E

We known that the three sides are on a straight line

LM  + MN = LN

Let's substitute the values, we have

3x + 5 + 4x = 11x - 7

Collect like terms

3x + 4x - 11x = -7 -5

-4x = -12

x = -12/ -4

x = 3

LM = 3x + 5 = 3(3) + 5 = 14

LN = 11x - 7 = 11(3) -7 = 33 -7 = 26

Thus, we have that x = 3, LM = 14 and LN = 2.  options A, C and E

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Answer:

1.(6*4) + (18*6) + (6*4)

1.(6*10) + (6*6) + (6*10)

Step-by-step explanation:

there are two ways to break this shape into three rectangles:

1.Top right rectangle, Top left rectangle, Bottom long rectangle

2. Left rectangle, Middle square, Right rectangle.

The procedure to rewrite the standard form in slope intercept form is as shown below.

The standard form of the equation of a line is;

ax + by + c  = 0

Slope intercept form is;

y = mx + c

Intercept form is;

x/p  + y/q = 1    

To Convert ax + by + c  = 0  into  y = mx + c

1) Move ax and c to the right hand side to get;

by = -ax  - c

Divide both sides by b to get;

y = - ax/b  - c/b

Comparing to slope intercept form, we can say that;

Slope = -a/b

y-intercept = -c/b

If we are using y = mx + b as slope intercept form, this will also be accurate because we will just switch c with b in the standard form to arrive at same answer.

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Answer:

A

Step-by-step explanation:

The linear regression model obtained by fitting the data points is Y = 0.0914X1 - 0.3741.

x = test score

y = average sleep

Slope = 0.0914

intercept = - 0.3741

The test score of a student that sleeps 8 hours

y = 8

8 = 0.0914X1 - 0.3741

8 + 0.3741 = 0.0914X1

X = 8.3741 / 0.0914

X = 91.62

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Answer: [tex]\frac{3 +- \sqrt{23}i}{2}[/tex] If using complex numbers, or undefined if using all real numbers

Step-by-step explanation:

Moving -8 to the left side of the eq by adding both sides by 8=

x^2-3x+8=0

The quad formula:[tex]\frac{-b +- \sqrt{b^2-4ac}}{2a}[/tex]

a=1 b=-3 c=8

Inserting a b c values into formula: [tex]\frac{-(-3) +- \sqrt{(-3)^2-4(1)(8)}}{2(1)}[/tex]

Simplifying: [tex]\frac{3 +- \sqrt{9-32}}{2}[/tex]

[tex]\frac{3 +- \sqrt{-23}}{2}[/tex]  Since the square root of a negative number doesn't exist in the set of real numbers, the equation is undefined.

OR

[tex]\frac{3 +- \sqrt{23}i}{2}[/tex] Using complex numbers i, to replace the negative number created by subtracting 9-32.

Answer:

-1/2

Step-by-step explanation:

slope is change in y / change in x

change in y is -5 bc y decreases by 5

change in x is 10 bc x increases by 10

-5/10 simplifies to -1/2

The first four terms of the sequence are 8,12,16 and 20.

Given the function is f(n) = (2n+2)2

Now, we want first four terms, therefore, putting 1, 2, 3, 4 in the sequence we get:

f(1) = (2*1+2)2 = 8

f(2) = (2*2+2)2 = 12

f(3) = (2*3+2)2 = 16

f(4) = (2*4+2)2 = 20

Hence, The first four terms of the sequence are 8,12,16 and 20.

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The computation of the decimals are illustrated below.

1. 7/4 + √5

= 1.75 + 2.24

= 3.99

2. -✓2 + 9

= -1.41 + 9

= 7.59

3. 2 - 5/4

= 2 - 1.25

= 0.75

4. 7.93 + 1/7

= 7.93 + 0.14

= 8.07

5. π + ✓5

= 3.14 + 2.24

= 5.38

6. ✓2 + 13/4 - 3

= 1.41 + 3.25 - 3

= 1.66

7. 8.5 - 12.65

= -4.15

8. 4 + ✓3 - 11/3

= 4 + 1.73 - 3.67

= 2.06

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Step-by-step explanation:

The radians is just the length of the arc, so if you had a unit circle where the radius was 1, the length of that entire circle would be [tex]2\pi[/tex] since the circumference of any circle is [tex]2\pi r[/tex] except r is 1 so the length is just [tex]2\pi[/tex]. So if you take 1/4 of this you get [tex]\frac{2\pi}{4}[/tex] which can be simplified to  [tex]\frac{\pi}{2}[/tex]

Answer:

Step-by-step explanation:

Comments

You need to get the radian measure of the circle.

The radian measure of the entire circle is 2 * pi

To get the radian measure of 1/4 of the circle, just divide by 4.

2 pi / 4 = pi/2

The central angle is = to 1/4 of the circumference of the circle.

So the central angle is also pi/2

Answer: pi/2

Answer:

its 5 5+4=9

Step-by-step explanation:

Figure A maps to figure B with a scale factor of 4/9, hence the value of x is x = 54

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

Dilation is the increase or decrease in the size of a figure.

Figure A maps to figure B with a scale factor of 4/9, hence:

4/9 * x = 16

x = 54

Figure A maps to figure B with a scale factor of 4/9, hence the value of x is x = 54

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The value of y for the system of equation is -1/2 .

A system of equation is a set of equation that have common solution

The set of equation given is

3x+4y=4

2x−4y=6

To solve the system , Elimination method will be used

Add equation 1 and 2 to eliminate y

5x  = 10

x = 2

Substitute the value of x in equation 1 to determine y

3x +4y = 4

6 + 4y = 4

4y = -2

y = -1/2

Therefore the value of y for the system of equation is -1/2 .

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At least 832 teenagers must be interviewed.

It is given that the standard deviation is of 1.24 liters.

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2}[/tex] = 0.005

Now, we have to find z in the Ztable as such z has a p-value of [tex]1-\alpha[/tex].

So it is z with a p-value of [tex]1-0.005 = 0.995[/tex], so [tex]z= 2.575[/tex]

Now, find the margin of error M as such

[tex]M = Z * \frac{SD}{\sqrt{n} }[/tex]

In which SD is the standard deviation of the population and n is the size of the sample.

How many teenagers must the firm interview in order to have a margin of error of at most 0.1 liters when constructing a 99% confidence interval?

At least n teenager must be interviewed.

n is found when M = 0.1.

We have that SD = 1.12

So

[tex]0.1 = 2.575*\frac{1.12}{\sqrt{N} }[/tex]

[tex]\sqrt{n} = \frac{2.575*1.12}{0.1}[/tex]

[tex]n = 831.7[/tex]

So rounding up to at least 832 teenagers must be interviewed.

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Answer: Mustafa is incorrect. He made a mistake in step 2.

Step-by-step explanation: Mustafa was certainly correct in step 1 that x(9x+3) + 3(x+3) is 9x^2 + 6x + 9. However when he was factoring, he made a mistake.

(3x + 3)^2 is NOT equal to 9x^2 + 6x + 9. Rather, (3x + 3)^2 is equal to 9x^2 + 18x + 9. If you want to double check this, use FOIL.

The correct factoring of 9x^2 + 6x + 9 is actually 3(3x^2 + 2x + 3). So, Mustafa made a mistake in step 2.