If the expression for the tiles is 7(b-3)+8, what is the border number if the
TOTAL number of tiles is 57?

Answer:

12 ≮  12

False

Step-by-step explanation:

19 − 7 < 12

12 ≮  12 (<--- line through the less than sign)

False

(I'm not 100% sure)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{d - 7 < 12}\\\\\mathsf{\rightarrow 19 - 7 < 12}\\\\\mathsf{\rightarrow 12 < 12}\\\\\large\text{Thus, the left and right should be equivalent to each other.}\\\\\mathsf{12 \nless 12}\\\\\mathsf{12 = 12}[/tex]

[tex]\huge\text{The correct symbol should be: \boxed{\mathsf{\boxed{=}\ because\ the}}}\\\\\huge\boxed{\mathsf{numbers\ are\ equal\ to\ each\ other.}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

74 degrees

Step-by-step explanation:

180-32=148

148÷2=7

The given number written in scientific notation is 1.4398 × 10⁴

From the question, we are to write the given number in scientific notation.

The given number is 14,398.

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

Thus,

To write the numbers in scientific notation, we will express the number as the multiplication of a number between 1 and 10 and a power of 10.

A number between 1 and 10 that can easily be formed from the number is 1.4398

Then, we can write that

14,398 = 1.4398 × 10⁴

Hence, the given number written in scientific notation is 1.4398 × 10⁴

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The transformation here is; the original function was moved '1' unit downwards.

Transformations simply takes the basic function and transforms it to another function.

The rules of transformation are;

From the question, the original function is;

f(x) = x + 4

Now, we are told that it undergoes a transformation to;

f(x + 4) - 1

From the transformation rules above, we can say that the transformation here is; the original function was moved '1' unit downwards.

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Answer:

a) -3

b)12

Step-by-step explanation:

For f(X)= 3x+2

Where x=-2(Substitute for x in the expression)

F(-2)=3(-2)+2

      = -6+2

       = -3

G(4)=

[tex]x^{2} -x\\4^{2} -4\\=16-4\\=12[/tex]

Answer:

9

Step-by-step explanation:

Just substitute -2 in for a and 5 in for b

[tex]a^2 + b\\-2^2 + 5\\4 + 5\\9[/tex]

Whenever you square a negative number the result is positive

Answer:

The answer is 9 or 3squared

Step-by-step explanation:

Swap the -2 in for a and 5 in for b

When ever a negative number is squared the answer will be a postive number.

Answer:

The answer is in the attached screenshot (I wanted to show properly formatted fractions)

Explanation:

The explanation is in the attached screenshot (I wanted to show a properly formatted fraction)

The logarithmic form of the given equation (5⁴=625)is  = log₅(625) = 4.

Logarithmic functions are the inverses of exponential functions. So a log is an exponent! y=logbx if and only if by=x for every x>0 and 0b1.

Logarithms depict changes in terms or multiplication: in the instances above, each step is 10x larger. Each step on the natural log is "e" (2.71828...) times longer. When dealing with a sequence of multiplications, logarithms let us "count" them in the same way that addition counts on our behalf when effects are added.

using the property of log:

5⁴=625

Apply logarithmic definition: aⁿ = b gives logₐᵇ = n

so,

a = 5

b = 625

n = 4

equation would be as follows:

log₅(625) = 4

The  logarithmic form of the given equation (5⁴=625)is  = log₅(625) = 4

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Answer: [tex]log_{5} 625 = 4[/tex]

Step-by-step explanation:

The value of the given expression √9x⁴/ 36 in simplified form is  x² / 2.

√ 9x⁴ / 36

= √ 9 x⁴ / 9*4

= √ x⁴ / 4

4 = 2*2 = ( 2 )²  and x⁴ = x² * x² = ( x² )²

hence, √ x⁴ / 4 = ( x² / 2 )²

√ x⁴ / 4  = x² / 2

Therefore,  the value of the given expression √9x⁴/ 36 in simplified form is  x² / 2

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Based on the cost of the car and the simple interest loan amount, the amount of Darren's monthly payment is $363.33

First, find the simple interest on the loan:

= 12,000 x 3% x 3 years

= $1,080

The total amount to be repaid:

= 1,080 + 12,000

= $13,080

The monthly payment is:

= 13,080 / (12 x 3 years)

= $363.33

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Answer: its 363.33

Step-by-step explanation:

The data from the stemplot is $459,000, $277,000, $67,000, $123,000, $213,000, $482,000, $85,000, $181,000, $225,000, $92,000, $181,000, $287,000, $196,0900, $276,000.

A stemplot is a table that has similar features with to a histogram. A stemplot divides a number into a stem and a leaf. The stem is the first digit in a number and the leaf is the rest of the numbers. For example, the number 223, 2 would be the stem and 23 would be the leaf.  

Advantages of a stemplot is that it displays all of the data in the dataset. A stemplot is also easy to interpret.  Stemplots also give a concise representation of a dataset. A disadvantage of a stemplot is that is can only be used for a small dataset.

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The fifth term of the arithmetic sequence is 84

The formula for determining the nth term of an arithmetic sequence is expressed as;

Tn = a + (n -1)d

Where;

To determine the fifth term, we have to substitute the value of nas 5, we have;

T5 = 4 + (5-1) 20

T5 = 4 + 4(20)

expand the bracket

T5 = 4 + 80

T5 = 84

Thus, the fifth term of the arithmetic sequence is 84

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The complete question;

An arithmetic sequence has first term 4 and constant difference 20. Find the fifth term of the sequence

Answer:

if x=2

P(2) = (2)² + 5(2) -3

= 4 + 10 - 3

= 14 - 3

= 11

the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

Given:

To find: Year when population is 8 billion, i.e., y = 8.

Finding:

8 = 6.72  ( [tex]1.014^x[/tex])

=> [tex]\frac{8}{6.72}= ( 1.014^x)[/tex]

Taking log on both sides

=> [tex]log(\frac{8}{6.72})= log( 1.014^x)[/tex]

=> log(1.19) = x (log 1.014) (as [tex]log_b(a)^m = m (log_b(a))[/tex] )

=> [tex]\frac{log(1.19)}{log (1.014)}[/tex] = x

=> x = [tex]\frac{0.0755}{0.006}[/tex]

=> x = 12.58

Hence, the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

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Answer: 2.715

Step-by-step explanation:

Answer:

2.715

Step-by-step explanation:

We have 2.64 - 0.2 - 0.35 + 0.625.

2.64 - 0.2 = 2.44

2.44 - 0.35 + 0.625

Next, we subtract 0.35 from 2.44

2.09 + 0.625 = 2.715

The statements that describes the effect and value of k in the functions f(x) = −x + 3 and g(x) as shown in the graph where function g(x) is a transformation of f(x), such that g(x) = kf(x) and k is a rational number, is

a. The graph of g(x) is a vertical stretch of the graph of f(x); the k value is positive and greater than 1.

A vertical stretch refers to a movement in the upward direction. A transformation that leads to a vertical stretch is as a result of multiplying by a positive number that is above or greater than 1.

The given graphs f(x) was factored and this lead to a vertical stretch to produce g(x), and the factor that leads to vertical stretch is a positive number greater that 1. Hence we say that The graph of g(x) is a vertical stretch of the graph of f(x); the k value is positive and greater than 1.

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Discrete variables are Number of pockets inside the jacket .

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of students in attendance. how many red marbles are in the jar. number of heads when three coins are flipped. The number of students, kids, the shoe size, and so forth are some typical examples of discrete data. Height, weight, length, time, temperature, age, and other continuous data are typical examples. Discrete data are represented by integer and ordinal data values. Continuous Variable. "Discrete variables" are variables that have a finite number of possible values. Each and every qualitative variable is discrete. Certain quantitative variables, like performance ratings of 1, 2, 3, 4, or 5, or temperature rounded to the nearest degree, are discrete.

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The total mass of the box of paperclips in scientific notation is 5.526 × 10¹ miligrams. (Correct choice: D)

In this question we must use, interpret and manipulate numbers in scientific notation to find the total mass of the paperclips in a box. The statement indicates the mass of a paperclip and the number of paperclips in the box, then the total mass of the box of paperclips is equal to the product of mass of the paperclip and the number of paperclips. Then, the total mass in the box is:

m = (9.0 × 10⁻⁴ mg) · (6.14 × 10⁴)

m = (9.0 · 6.14) · (10⁻⁴ · 10⁴)

m = 55.26 · 10⁰

m = 55.26 mg

m = 5.526 × 10¹ mg

The total mass of the box of paperclips in scientific notation is 5.526 × 10¹ miligrams. (Correct choice: D)

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Answer:

0.75

Step-by-step explanation:

The outcomes are equally likely, so the easiest way to work this problem is to write out the 8 outcomes in this sample space. In two outcomes the gender of all three children is the same (GGG, BBB). The other 6 outcomes contain at least one boy and one girl.

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The inequality represented by the number line is x ≤ -6

A straight line of numbers is shown visually as a number line. . On a horizontal number line, the numbers grow as we walk to the right and decrease as we move to the left.

Given that,

The response must include both a less than and a negative sign.

At -6, the graph displays a closed circle.

which means that -6 is a solution to the inequality.

The darkened arrow on all values greater than -6 denotes that x -6 is the proper inequality.

The inequality represented by the number line is x ≤ -6

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Answer: 5/2

Step-by-step explanation:

5/2 is greater because divided it’s 2.4 and 9/4 is 2.25. 2.5 > 2.25.

In percentage, the 10% of her collection is a 18 coins.

According to the statement

We have to find that the 10% of her collection.

So, For this purpose, we know that the

A percentage is a number or ratio expressed as a fraction of 100.

From the given information:

Aisha has a collection of 180 coins. how many coins represent 10% of her collection

Then

The percentage of the collections of the 180 coins = 10% of 180 coins

Then

Collection of the coins = 10% of 180

Collection of the coins = 10/100*180

Collection of the coins = 0.1*180

Collection of the coins = 18.

So, In percentage, the 10% of her collection is a 18.

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The value of x in the equation (x – 0.8) / 1.2 = 6 is 8.

Given,

The equation = (x – 0.8) / 1.2 = 6

We have to expand this equation and find x.

That is,

(x – 0.8) / 1.2 = 6

Multiply 1.2 both sides.

(x – 0.8) x (1.2) / 1.2 = 6 x 1.2

(x – 0.8) = 6 x 1.2

(x – 0.8) = 7.2

Shift 0.8 to right hand side

Then we get,

x = 7.2 + 0.8

x = 8

Therefore, the value of x in the equation (x – 0.8) / 1.2 = 6 is 8.

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The ratio that relates the number of students who take a music class to the number of students who take an art class is 3 : 1 .

Let the number of students taking arts class be "x"

and number of students taking music class be "y".

It is given that 11 students take an art class which can be given by

                x = 11           ...(1)

There are 3 times as many students who take a music class as students who take an art class which can be given by

             y = 3x = 3(11) = 33       ....(2)

On dividing equation (1) by (3) , we get

          x/y = 11/33 = 1/3

This can be written as x : y = 1 : 3 but here we are asked about the ratio of music class to the art class then ratio is given by y : x = 3 : 1

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The measure of the segment MP is 29 units.

In this question we have been given a parallelogram LMNO

The diagonals of parallelogram LMNO intersect at point P.

The diagonals of parallelogram LMNO are LN and MO.

The point P divides each diagonal into exactly two equal parts.

So, MP = OP

If MP = 2x + 5 and OP = 3x − 7, we need to find MP.

As, MP = OP

2x + 5 = 3x − 7

2x - 3x = -7 - 5

-x = -12

x = 12

So, the value of the MP would be,

MP = 2x + 5

      = 2(12) + 5

      = 24 + 5

      = 29

Therefore, the measure of the segment MP is 29 units.

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The another endpoint of a line is (13, -3).

What is Straight line?

A line with no curve is called a straight line.

Given that;

One endpoint of a line = (-3, 7)

Midpoint of a line = (5, 2).

Now, Let the other endpoint of a line = (x, y)

Then, Other endpoint is solve by the definition of midpoint of two points as;

(x + (-3) / 2 , y + 7 / 2 ) = (5, 2)

(x - 3 / 2 , y + 7 / 2) = (5, 2)

By compare we get;

x - 3/ 2 = 5

x - 3 = 2 * 5

x - 3 = 10

x = 10 + 3

x = 13

And,  

y + 7 / 2 = 2

y + 7 = 2 * 2

y + 7 = 4

y = 4 - 7

y = -3

Hence, The another endpoint of a line is (13, -3).

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After solving the equation, x = 3/2 is the value of x in [tex]3^{2x}[/tex] = 27

⇒ [tex]3^{2x}[/tex] = 27

⇒ [tex]3^{2x}[/tex]  = [tex](3)^3[/tex]

⇒ 2x = 3

⇒ x = 3/2

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer:

5/8

Step-by-step explanation:

3/4 = 6/8. so 6/8-1/8= 5/8. 5/8 is the answer.