Select all numbers that are in the range.
-3
-2
-1
0
1
2

2 answers:

B) integer

C) Rational

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The original expression simplifies to -4 which is part of the set of integers {..., -3, -2, -1, 0, 1, 2, 3, ...}

We can write -4 as a fraction of two integers -4 = -4/1, so it is also a rational number.

Because it's rational, it cannot be irrational.

The set of whole numbers is {0, 1, 2, 3, ...} which doesn't involve negative values. If you want to include negative values, then use the set of integers.

Answer:

Hey there!

5(v+3)-10v>-10

5v+15-10v>-10

-5v+15>-10

-5v>-25

v<5

Let me know if this helps :)

Answer:

[tex]\Huge \boxed{v < 5}[/tex]

Step-by-step explanation:

5(v + 3) - 10v > -10

Expand brackets.

5v + 15 - 10v > -10

Combine like terms.

-5v + 15 > -10

Subtract 15 from both parts.

-5v > -25

Divide both parts by -5 (flip sign).

v < 5

Answer:

34°

Step-by-step explanation:

5x+4+5x-1=73

10x+3=73

10x=73-3

10x=70

x=7

m<ABC=5x-1=5(7)-1=35-1=34°

Answer: 3/10

Step-by-step explanation:

Given a decimal number 0.3

To Write the rational number 0.3 in the form ab , where a and b are integers, take it to be :

0.3 /1

Multiply the numerator and the denominator by 10

0.3/1 × 10/10 = 3/10

Therefore, a = 3 and b = 10

the rational number 0.3 in the form ab , where a and b are integers is

3/10

Answer: Plot 1

Step-by-step explanation:

#1 Find the median of the whole set

- since there are 31 data, it is odd, we just need to find the 16th data which is 73.

- the median is 73

#2 Find the median of Less than Q2

- since there are 15 data, it is odd, we just need to find the 8th data which is 64

- the median is 64

#3 Find the median of more than Q2

- since there are 15 data, it is odd, we just need to find the 8th data which is 84

- the median is 84.

-----------------------------------

Putting it back to the box and whisker plot, it will be plot 1

Answer:

The missing side is 10.25

Step-by-step explanation:

Step 1: Use Pythagorean Theorem

[tex]11^{2} = 3.9^{2} + x^{2} \\121 = 15.21 + x^{2}\\121 - 15.21 = x^{2} \\105.79 = x^{2} \\\sqrt{105.79} = \sqrt{x^{2} } \\x = 10.285[/tex]

Therefore the missing side is 10.285

Answer:

2 quiz

Step-by-step explanation:

Mr Ondonez gives his students 34 quizzes over 17 weeks. They are given the same number of quiz per week. To calculate the number of quiz given per week, we have to divide the total number of quiz given by the total number of weeks. Therefore:

Number of quiz per week = Total number of quiz / Total number of weeks  

Number of quiz per week = 34 / 17 = 2

The students are given 2 quizzes per week.

Answer:

2 quiz

Step-by-step explanation:

Answer:

Irrational numbers

Step-by-step explanation:

Any irrational number plus a rational number like (5/8) creates another  irrational number.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

An irrational number is a number that cannot turn into a fraction.

If you add an irrational number to a rational number, the sum is an irrational number because since the number cannot be ended and/or written into a fraction.

Irrational numbers are: Pi and infinity. Pi doesn't ever end, and all the digits (after 0) are different (it's a formula). Infinity has no end, so you cannot write infinity as a fraction.

Pi plus 5/8 is an irrational number.

Infinity plus 5/8 is also an irrational number.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

The correct option is;

69 cm

Step-by-step explanation:

The z-score, or standard score is a measure of how far a data is from the mean

The z-score, is given by the relation;

[tex]z = \dfrac{x- \mu}{\sigma}[/tex]

Z = Standard score

x = Value observed

μ = The mean height of the plants = 52.5 cm

σ = Standard deviation = 7.2 cm

Given that the z-score = 2.25, we have;

[tex]2.25 = \dfrac{x- 52.5}{7.2}[/tex]

Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm

Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.

Answer:

Circumcenter = (4,0)

Circumcircle = √5

Step-by-step explanation:

The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. The vertices of the triangle are equidistant to the circumcentre.

Let us assume the coordinate of the circumcentre is at O(x, y). Therefore the distance between the cirmcumcenter and the vertices are:

[tex]AO=\sqrt{(x-2)^2+(y-1)^2} =\sqrt{x^2-4x+4+(y^2-2y+1)}\\=\sqrt{x^2+y^2-4x-2y+5} \\\\BO=\sqrt{(x-5)^2+(y-2)^2} =\sqrt{x^2-10x+25+(y^2-4y+4)}\\=\sqrt{x^2+y^2-10x-4y+29} \\\\CO=\sqrt{(x-3)^2+(y-4)^2} \\=\sqrt{x^2-9x+9+(y^2-8y+16)}=\sqrt{x^2+y^2-9x-8y+25} \\[/tex]

AO = BO, therefore

√(x² + y²-4x-2y+5) = √(x² + y² - 10x - 4y + 29)

x² + y²-4x-2y+5 = x² + y² - 10x - 4y + 29

6x + 2y = 24       (1)

BO = CO

√(x² + y² - 10x - 4y + 29) = √(x² + y² - 9x - 8y + 25)

x² + y² - 10x - 4y + 29 = x² + y² - 9x - 8y + 25

-x + 4y = -4         (2)

Multiply equation 2 by 6 and add to equation 1:

26y = 0

y=0

Put y = 0 in -x + 4y = -4

-x + 4(0) = -4

x = 4

The cicumcenter is at (4, 0)

The radius of the circumcircle = AO = BO = CO. Therefore:

[tex]Radius=AO=\sqrt{(4-2)^2+(0-1)^2} =\sqrt{4+1}=\sqrt{5}[/tex]

Answer: B. 29 mi (which you typed 29 in)

Step-by-step explanation:

Use law of cosine to solve: a²=b²+c²-2bc·cosA (the corresponding angle)

a²=19²+12²-2×19×12×cos (138)

a²=361+144-456cos(138)

a²=505-456cos(138)

a²=843.874 (rounded)

a=29 mi

Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.

1. x = ?

2. m∠MKL = ?

3. m∠JKL = ?

Answer/Step-by-step explanation:

Given:

m<JKM = 43,

m<MKL = (8x - 20),

m<JKL = (10x - 11).

Required:

1. Value of x

2. m<MKL

3. m<JKL

Solution:

1. Value of x:

m<JKL = m<MKL + m<JKM (angle addition postulate)

Therefore:

[tex] (10x - 11) = (8x - 20) + 43 [/tex]

Solve for x

[tex] 10x - 11 = 8x - 20 + 43 [/tex]

[tex] 10x - 11 = 8x + 23 [/tex]

Subtract 8x from both sides

[tex] 10x - 11 - 8x = 8x + 23 - 8x [/tex]

[tex] 2x - 11 = 23 [/tex]

Add 11 to both sides

[tex] 2x - 11 + 11 = 23 + 11 [/tex]

[tex] 2x = 34 [/tex]

Divide both sides by 2

[tex] \frac{2x}{2} = \frac{34}{2} [/tex]

[tex] x = 17 [/tex]

2. m<MKL = 8x - 20

Plug in the value of x

m<MKL = 8(17) - 20 = 136 - 20 = 116°

3. m<JKL = 10x - 11

m<JKL = 10(17) - 11 = 170 - 11 = 159°

Answer:

B. how long the toy rang

Step-by-step explanation:

In order to test the battery, you need to see which will last the longest. Therefore, you should time how long it rang.

Answer:

$1,461.60

Step-by-step explanation:

Value of the stock in the first year if value increased by 16% = 1500 x (1.16) = $1740

1.16 = 100% + 16% = 116%

Value of the stock in the second year if value decreased by 16% = $1740 x 0.84 = $1,461.60

0.84 = 100% - 16% = 84%

Answer:

Answer:

6c + 3b + 4

Step-by-step explanation:

First, you can group like terms:

9c + 3b + 4 - 3c -----> (9c - 3c) + (3b) + (4)

Then you can add terms:

(9c - 3c) + (3b) + (4) = (6c) + (3b) + (4) = 6c + 3b + 4

Hope this helps!!!

the answer is 3b+6c+4

x+x+y.y.y = 2x+y^3 ( y cube)

So, The answer is (d)

Answer:

D. 15x10^20

Step-by-step explanation:

The rule for scientific notation is that the coefficient has to be between 1 and less than 10. This means there is only one digit in front of the decimal. 15x10^20 should be written as 1.5x10^21 to follow the rule.

Answer:

Hey there!

e15 times 10^20 isn't written in scientific notation. For a number to be in scientific notation, the leading number must be between 1 and 10.

Let me know if this helps :)

Your question has been heard loud and clear.

2x^2+5x-3=0

Splitting the middle term (5x) we get , -1x+6x

So , 2x^2-1x+6x-3=0

2x^2-1x+6x-3=0

(2x^2-1x)+(6x-3)=0

taking common factor from(2x^2-1x) which is x and taking common factor from (6x-3) which is 3 , we get

x(2x-1)+3(2x-1)=0

So , solution that we get is

(x+3)   and  (2x-1)  

Thank you.

Step-by-step explanation:

2x^2+5x-3=0.

which will be 2x^2+2x+3x-3=0.

2x(x+1)+3(x+1)=0.

2x+3=0,x+1=0.

x=-3/2,x=-1..

I hope this helps but please recheck the question especially 5x is it +5x or -5x.....Thank you for the question

Answer:

a.  Yes

b.  Yes

c. Yes

d. Degree 8

Step-by-step explanation:

a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.

b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.

c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

[tex]\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6[/tex]

which as can be seen, also contains variables raised to positive integers.

d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8

Therefore the degree of this polynomial is 8.

Answer:

  75

Step-by-step explanation:

Let t and u represent the tens and units digits, respectively.

  t = u + 2 . . . . the tens digit exceeds the units digit by 2

  t + 2u = 17 . . . . the sum of the tens digit and twice the units digit is 17

Substituting for t in the second equation, we get ...

  (u +2) +2u = 17

  3u = 15 . . . . . . . . subtract 2

  u = 5 . . . . . . . . . . divide by 3

  t = u+2 = 7

The number is 75.

_____

Check

7 exceeds 5 by 2. 7 + twice 5 = 7 + 10 = 17.

Answer:

His total pay= $4,630

Step-by-step explanation:

Larry pickett earns:

commission=6% on all sales

He also received a $700 bonuses if his commission exceeds $3000

His total sales were 65500 what was Total pay

Commission= 6% of all sales $65,500

=6/100 × 65,500

=0.06 × 65,500

=3,930

His commission =$3,930

His commission exceeds $3000

Therefore,

His Total pay= Commission + bonus of $700 if his commission exceeds $3,000

=3,930 + 700

=4,630

His total pay= $4,630

Answer:

0.6a - 0.5

Step-by-step explanation:

We can expand 0.2(3a - 1) and evaluate 0.3-0.6, getting 0.6a - 0.2 - 0.3.

We can then simplify this expression, getting 0.6a - 0.5.

Answer:

It will have no solution.

Step-by-step explanation:

If this will be solved algebrically , then the the variables will get cancelled .... If this will be solved graphically , then the graphs of both eqns will be parallel to each other....

Answer:

there is no solution

Step-by-step explanation:

4x-1=4x+7

4x - 1 - 4x = 4x + 7 - 4x

-1 = 7

there is no solution .

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Chiang is filling a 50 ft3 container with water at a rate of 0.5 ft3/min. Interpret

50 ft^3 represents the volume of the container which is a product of its length, width and height. The rate is said to be 0.5ft^3 /min. The stated rate represents the volume of the container which Chiang fills each minute. The rate could be obtained by taking the proportion of the entire volume of the container and the time it takes Chiang to fill it.

Here, it will be :

Rate = ( volume of container (ft^3) / time taken (minutes))

Hence 0.5ft^3/min means on average Chiang's fills a volume of 0.5ft^3 of the container each minute.

Answer:

Linear relationship.

Step-by-step explanation:

Given that:

Cleansing solution 1 uses 1 part of vinegar with 2 parts water.

Ratio of vinegar to water = 1:2

Cleansing solution 2 uses 2 part of vinegar with 3 parts water.

Ratio of vinegar to water = 2:3

As per a student, the relationship is proportional.

First of all, let us learn about a proportional relationship.

A proportional relationship is the relationship in which the ratios are equal.

OR

In other words, one variable is always a constant value times higher than the other variable.

Here, we have the ratios as 1:2 and 2:3.

One ratio is 0.5 and other ratio is 0.67 which are not equal.

So, it is not proportional relationship.

As we see there is difference of 1 in each ratio.

i.e. Difference in First solution = 2 - 1 = 1

Difference in Second solution = 3 - 2 = 1

So, there is only a constant value change([tex]y = x+c[/tex])  in the other variable when one variable changes by 1.

So, it can be called Linear relationship and this constant is 1.

The equation can be represented as.

[tex]y = x+1[/tex]

where [tex]y[/tex] represents the parts of water in the solution and

[tex]x[/tex] represents the parts of vinegar in the solution.

Answer:

x-int: (3, 0)

y-int: (0, -1.5)

Step-by-step explanation:

x-intercept is the x-value when y = 0

y-intercept is the y-value when x = 0

Step 1: Find x-intercept

0 = (x - 3)/2

0 = x - 3

x = 3

(3, 0)

Step 2: Find y-intercept

y = (0 - 3)/2

y = -3/2

(0, -1.5)

Answer:

The answer is 4

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The length of QW can be determined from PW and PQ by figuring out what the lengths are for Q and W in PW and PQ.