Solve |x+4|=9. ..............

When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.

The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.

Here's how they can use the range to evaluate the effectiveness of the equipment changes:

Collect the measurements of all 25 muffins.

Determine the maximum and minimum measurements.

Calculate the range by subtracting the minimum measurement from the maximum measurement.

If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.

Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

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Answer:

12x-3y

Step-by-step explanation:

combine like terms: the 10x and the 2x can be combined making it 12x and then you keep the -3y making it 12x-3y

Answer:

12x - 3y

Step-by-step explanation:

All you have to do for this question is combine like terms. It isn't wanting you to solve for anything, so it's pretty fast to do. Since the 2 and 10 both have x values next to them, you can combine them. They are both positive, so you can simply add them together. This gives you 12x. Because the -3 and 12 have different values next to them, you cannot combine them. So you are left with 12x - 3y. This is your answer.

I hope this makes sense and is easy to understand. Please let me know if you need any more help. Have a great day and good luck!!

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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Answer: False because Ratios are converted Fractions,  and a term to get a whole

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Ratios compare two types of numbers and which is higher, which rates, unit rates, and percents have in common if use.

Answer:

y  =  0.6487 - x

Step-by-step explanation:

Given the data:

x: __ 6 __ 8 ____ 20 ___ 28 ____ 36

y: __ 2__  4 ____ 13 ____20 ____ 20

The regression equation obtained for the data given  using an online regression model calculator is :

Regression equation :

y  =  0.6487 - x

With

0.6487 being the intercept

x and y are the independent and dependent variables respectively

The slope of the regression equation = 1

Answer:

84.5

Step-by-step explanation:

1: 96 - 13 to get difference = 83

2: 83 - 5 = 78

3: 78 + 3 = 81

4: (83 + 78 + 81 + 93) / 4 = 84.5

The surd is rationalized to give √6 - 5√3 + 5√2 - 25/2  + 25

It is important to note that fractions are a part of whole number or element.

The different types of fraction includes;

Given the expression;

√3 - 5/√2 + 5

√3 - 5/ √2 + 5 ×√2 - 5/√2 - 5

Multiply the values

√6 - 5√3 + 5√2 - 25/√4 - 5√2 + 5√2 + 25

Add the like surds and find the square roots, we get

√6 - 5√3 + 5√2 - 25/2  + 25

Hence, the expression is √6 - 5√3 + 5√2 - 25/2  + 25

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\(\dfrac{x+4}{3} =7\)

Multiply both sides by 3:

\((\dfrac{x+4}{3} )\times3=(7)\times3\)

\(x+4=21\)

Subtract 4 from both sides:

\(x+4-4=21-4\)

\(\boxed{x=17}\)

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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Answer:

D or [1.5, ∞)

Step-by-step explanation:

Got it right on edgenuity

To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.

The original surface area of the rectangular prism is given by:

SA_original = 2lw + 2lh + 2wh

where l, w, and h represent the length, width, and height of the prism, respectively.

In this case, the dimensions of the original box are:

Length (l) = 3 ft

Width (w) = 6 ft

Height (h) = 5 ft

Substituting these values into the formula, we have:

SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)

            = 36 + 30 + 60

            = 126 square feet

Now, if we quadruple all the dimensions of the box, the new dimensions would be:

Length (l_new) = 4(3) = 12 ft

Width (w_new) = 4(6) = 24 ft

Height (h_new) = 4(5) = 20 ft

The new surface area of the enlarged box is given by:

SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)

       = 2(12)(24) + 2(12)(20) + 2(24)(20)

       = 576 + 480 + 960

       = 2016 square feet

Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.

Therefore, the correct answer is:

1. The new surface area would be 16 times the original surface area.

Answer:

3/4

Step-by-step explanation:

6/8 in its simplest form would be 3/4 because

\(6 \div 2 = 3\)

and

\(8 \div 2 = 4\)

so 3/4

Answer:bb

Step-by-step explanation:

The wavelength  λ , of a photon that has an energy of E = 4.26×10^−19 J is 21504.29 meter.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now, the given equation for photon energy, E , is

E = hcλ

Here, h = 6.626×10^−34 J⋅s (Planck's constant) and

c = 2.99×10^8 m/s (the speed of light)

Therefore, we have

E = hcλ

⇒ λ = E/hc

Put the values of E, h and c we get,

λ = 4.26×10^−19 / (6.626×10^−34*2.99×10^8)

Solving we get,

λ = 4.26×10^−19 / 19.81×10^(−34+8)

⇒ λ = 4.26×10^−19 / 19.81×10^-26

⇒ λ = (4.26/19.81)*10^(-19+26)

⇒ λ = 0.215042×10^5 meter

⇒ λ = 21504.29 meter

Thus, the wavelength  λ , of a photon that has an energy of E = 4.26×10^−19 J is 21504.29 meter.

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Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

7:01

29%

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Shiman 1-R-1

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Gamba 2-1-5

Custand 1-4, 2-1

Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI

Flores 1-30

Munting 1-2-4

Gumbon 1-1-3 CDP 1-1-3

Status oppose ending 742 Montoya 1-1, 1-2, 1-3

federal courts challenge

Gamboa 1-R-2 Custom 1-7

CDP 1-L-36, 1-2-4

de Vogue 1-2-1, 2-1-5, 2-L-6

7 expulsions at boders

root causes textul Amer.

Cop 1-L-34, 1-1-2, 1-R-4

Border Report 1-2

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CLOSE

Hopes this helps :)

Answer:

the solution set is { - 7, - 3 }

Step-by-step explanation:

(x + 3)(x + 7) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ( subtract 3 from both sides )

x = - 3

x + 7 = 0 ( subtract 7 from both sides )

x = - 7

solution set is { - 7, - 3 }

Answer:

$3498.11 at the end of 10 years.

Step-by-step explanation:

2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.

Answer:

I dont understand what you're saying, but im thinking 7 miles?

Given the equation:

y = 6x - 6

Let's find the table that contains only points that lie on the line represented by the equation.

To find the correct table, input the given values of x and evaluate to find y. If the values of the calculated y corresponds with the given value of y, the table is correct.

Table A:

When x = 0, y = 6

Substitute 0 for x:

y = 6(0) - 6

y = 0 - 6

y = -6

This table is not correct

Table B:

When x = 2, y = 6

Substitute 2 for x:

y = 6(2) - 6

y = 12 - 6

y = 6

When x = -2, y = -18

Substitute -2 for x:

y = 6(-2) - 6

y = -12 - 6

y = -18

Since the value of x corresponds with the calculated value, this table (Table B) contains only points that lie on the line represented by the equation: y = 6x - 6

ANSWER:

Table B

Answer: -8n + 12

Step-by-step explanation: Well we know the word "sum" is a keyword that tells us to use addition so right off the bat, we can eliminate any options that have a subtraction sign.

"The sum of 12 and the product of -8 and n" means

we are multiplying -8 by n since "product" means multiplication.

Then we just have to add 12 to that.

So we get -8n + 12

Answer:

The last answer choice

Step-by-step explanation:

Interpretation of internet users

Middle East - about 100 million

North America - about 250 million

Europe - about 500 million

Asia - over 1 billion

Now lets look back at the question.

If Africa has 170 million internet users, according to the graphs, which statement is true.

"Africa has fewer users than the middle east"

This is false as Africa has 170 million users whereas The middle east has about 100 million users

170 mil > 100 mil therefore the statement is false

"Africa has more users then Asia"

This is also false as Asia has the most internet users at 1 billion

Africa has no where near as many users at 170 million users therefore the statement is false

"Africa has more users than Europe but fewer than Asia."

We have already identified that Africa has fewer users than Europe so this one could be it if the other part is true.

"Africa has more users than Europe" This is false as Europe has 500 million internet users while Africa only has 170 million users

Therefore this statement is false

"Africa has more users than the Middle East but fewer users than North America."

Africa has more internet users than the Middle East ( 170 mil > 100 mil ) and fewer users than North America ( 250 mil > 170 mil )

therefore this is the correct statement

Answer:

 (x + 6) • (x + 2) • (x - 4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x3) +  22x2) -  20x) -  48

STEP

2

:

Checking for a perfect cube

2.1    x3+4x2-20x-48  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3+4x2-20x-48  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3-48  

Group 2:  4x2-20x  

Pull out from each group separately :

Group 1:   (x3-48) • (1)

Group 2:   (x-5) • (4x)

Answer:  14

Step-by-step explanation:

We arrange the number as -3,  1, 7, 8, 18, 19, 42, the old median is 8.

But the median has change to 11 when the number is add, which means that the number is between 7 and 18.

(8 + x)/2 = 11      Where x is the new number

8 + x = 22

x = 14

Given dimensions:

x=31 feet, y= 24 feet and z= 95 feet

We can split the shape above into 3 components: A, B, and C

To find the total area, we will find the sum of the areas of each component

For A

The shape of A is that of a semi-circle.

The area of a semi-circle is given to be

The radius will be the diameter divided by 2

y= diameter

r= radius = y/2

r=24/2 =12 feet

pi=3.14

For B

The shape is a rectangle

The area of a rectangle is given by

A = l x b

where l = 31 and b = 24

Area = 31 x 24

Area = 744 square feet

For C

The shape is a triangle

The area of the triangle is given by

base = 64 feet, height = 24 feet

The total area is

22

Answer:

So the width of the rectangle is 20 units.

Step-by-step explanation:

Since the area of the rectangle is 80 square units and the length of one side is 4 units, we can use the formula for the area of a rectangle (A = lw) to find the width of the rectangle. We can set up the equation like this:

A = lw

80 = 4w

w = 20

So the width of the rectangle is 20 units. This means that the vertices of one of the sides of the rectangle that represents the width could be (0,0), (0,20), (20,0), and (20,20). These coordinates assume that the lower left corner of the rectangle is at the origin (0,0). If the rectangle is not at the origin, the coordinates of the vertices would be different. For example, if the lower left corner of the rectangle was at (-5,5), the coordinates of the vertices would be (-5,5), (-5,25), (15,5), and (15,25).

Answer:

4/x = 5/21.98 ; x=17.584

Step-by-step explanation:

subes la x al otro lado , multiplicas el 21.98 con el 4 y luego lo divides entre 5, así resulta q x es igual a 17.584

Answer:

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The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

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