If the constant on the right side is not a perfect square, the answers will be
a)rational
b)irrational

Answers

Answer 1
My guess is b but it really depends on the situation
Answer 2

Answer:

correct answer is  b) irrational number

Step-by-step explanation:

Rational number:

Any number which can be expressed in the form of fraction of two integers a/b, denominator b should be non zero. Every integer is a rational number.

irrational number:

Any number which cannot be expressed in the form of fraction of two integers a/b is known as irrational number.

square roots of numbers which are not perfect squares are irrational numbers. Only the square roots of perfect square numbers are rational.


Related Questions

Need help with this one!

Answers

To find DH, we must find HF first. To find HF we can use Pythagorean Theorem.

(1.5)^2 + (1)^2 = HF^2
2.25 + 1 = 3.25
HF = [tex] \sqrt{13} [/tex]/2

Now we can use this length in the next application of Pythagorean Theorem for the length of DH.

(3)^2 + ([tex] \sqrt{13} [/tex]/2)^2 = DH^2
9 + 3.25 = 12.25
DH = 7/2 or 3.5in.

For the spring festival, the Math Club is selling rulers for $1 and compasses for $2.50. the club would like to sell as many items as they can to raise funds. they need to at least make $15 to break even. write an inequality to represent this situation. let r=#of rulers sold and c=#of compasses sold.... School rules state that the club can sell a maximum of items for the festival. Write another inequality for this constraint (limitation).

Answers

Final answer:

To represent the situation, the inequality is 1r + 2.50c >= 15. The constraint on the maximum number of items sold is r + c <= M.

Explanation:

To write an inequality representing the situation, we need to consider the cost and the number of items sold. Let's denote the number of rulers sold as r and the number of compasses sold as c. The cost of the rulers is $1 each and the cost of the compasses is $2.50 each. The Math Club needs to make at least $15 to break even, so the inequality is: 1r + 2.50c >= 15.

Now, let's consider the constraint or limitation on the maximum number of items sold. Let's assume the maximum number of items that can be sold is M. So the inequality for this constraint is: r + c <= M.

Final answer:

The student should write the inequality 1r + 2.5c ≥ 15 to represent the condition of making at least $15 from selling rulers and compasses. An additional constraint can be represented by the inequality r + c ≤ m, with m being the maximum number of items allowed to be sold.

Explanation:

The Math Club is looking to make at least $15 by selling rulers at $1 each and compasses at $2.50 each. To represent this situation as an inequality where r is the number of rulers and c is the number of compasses sold, we use the equation: 1r + 2.5c ≥ 15. This inequality ensures that the combination of rulers and compasses sold will bring in at least $15.

If there is a maximum number of items that the Math Club is allowed to sell, we can represent this as another inequality. Let's say the maximum number of items is m. Then, we can write the inequality as: r + c ≤ m, where m is the given maximum number of items that can be sold.

Image point B (4,-8) was transformed using the translation (x-2,y+3) what were the coordinates of B?

Answers

The coordinates of the image point are given to be B(4, -8). We are to find the coordinates of pre-image that is the coordinates before the translation.

The translation made was (x-2, y+3) 

This means, the x coordinate was moved 2 units to left and y coordinate was moved 3 units above. 

So, the coordinates of original point will be, 2 units to right of B and 3 units down of B.

So the coordinates will be (6, -11)
 

Answer: (6, -11)

Step-by-step explanation:

Which triangles are congruent by ASA

Answers

the correct answer i believe  is  HGF and abc

Answer: ΔHGF≅ ΔABC

Step-by-step explanation:

ASA congruence postulate says that if two angles and the included side of a triangle are congruent to two angles and the included side of next triangle then the triangles are congruent.

In the given figure ΔABC and ΔHGF have the pair of two corresponding angles and the included sides are congruent.

i.e.[tex]\angle{C}\cong\angle{F}[/tex]

[tex]\overline{GF}\cong\overline{BC}[/tex]

tex]\angle{G}\cong\angle{B}[/tex]

Therefore , by ASA congruence postulate:-

ΔABC ≅ ΔHGF

In  ΔTUV , there is only angle given . So there is no enough information to prove it by ASA.

a hiker first hike down into a canyon 345 ft below sea level she then hike on her husband 50 ft of the side of the mountain what was the final altitude of the hiker

Answers

the final altitude of the hiker is 6.9ft

Completely simplify spare root of 24x^6

Answers

Answer:

Assuming x ≥ 0:

[tex] \sqrt{24 {x}^{6} } = \sqrt{24} \sqrt{ {x}^{6} } = \sqrt{4} \sqrt{6} \sqrt{ {x}^{6} } = 2 {x}^{3} \sqrt{6} [/tex]

whats the answer to this question

Answers

-3(x - 4) < 6 - 3x

Distribute the -3 on the left:

-3x + 12 < 6 - 3x

Add 3x to both sides:

12 < 6

The x's cancel out leaving you a false statement, so there is no solution.

Answer: No solution.

the measures of two complementary angles have a ratio of 2:7 . what is the measure of the smaller angle

Answers

Answer:
The smaller angle is 20 degrees. 

Explanation:
Complementary angles are two angles (or more) whose sum is 90 degrees.

If two angles have a sum of 90 degrees and their ratio is 2:7, we must determine which two numbers when added together would yield this proportion?

60 + 30 = 90 but 60:30 is a 6:3 ratio which simplifies to 2:1.

45 + 45 = 90 but 45:45 is a 1:1 ratio.

50:40 = 90 but 50:40 is a 5:4 ratio.

10 + 80 = 90, but 10:80 is a 1:8 ratio. We're getting closer!

20 + 70 = 90, and 20:70 can be simplified to 2:7 when you divide each number in the ratio their greatest common factor (GCF) of 10.

Therefore, the two complementary angles would be 20° and 70°, the smaller of which would be 20°

Jane buys People magazine at Walmart each week for $4.99. A 52 week subscription to the magazine is $203.84. How much would she save each week per magazine if she signed up for the subscription?

Answers

STEP 1:
find total cost of purchasing the magazine each week for 52 weeks

= $4.99 * 52 weeks
= $259.48 total

STEP 2:
find difference between purchasing each week and the subscription price

= $259.48 - $203.84
= $55.64 difference/savings


ANSWER: She would save $55.64 if she purchased the subscription.

Hope this helps! :)

In order to make a servings for four 1 3/4 cups of chopped vegetables are needed based on this information determine the amount of chopped vegetables needed to make a recipe for ten

Answers

the amount of vegetables needed for 10 is 4  3/8 cups

Answer:

To make recipe for 10 requires 35/8 or 4.375 chopped vegetables

Step-by-step explanation:

For 4,   7/4  cups of chopped vegetable are needed

it means for recipe for 4, requires 1.75 chopped vegetable

Therefore 10 recipe will require

10 × 7/4(1.75) cup divided by 4

Mathematically,

10 × 1.75 = 17.5

17.5/4 = 4.375  or 35/8 chopped

If nick bought 5 apples for 4.45 what would be the cost for 7 apples

Answers

4.45/5 = .89 ea therefore if you multiply .89 by 7 you would get $6.23
Hi there!

First, we need to divide 4.45 by 5

Which would give us - 0.89

Therefore, now we know that each apple costs $0.89 

2 more apples would be 0.89 + 0.89 + 4.45 = 6.23

Therefore the answer is $6.23 = 7 apples

Hope this helps you!

~DL




A parabola has a vertex at (-1, 0) and opens down. What is the equation of the parabola? y = -x2 - 1 y = -(x - 1)2 y = -(x + 1)2

Answers

When the parabola opens down, it means the x² term must have a minus sign in front of it.

When it has a vertex shifted to the left by 1 (normally it would be at (0,0) this means the x² becomes (x+1)².

Combine these statements and D is the right answer! y = -(x+1)²

Answer:

The answer is D

Step-by-step explanation:

Carl tells his friend Logan about a new music download service.
Carl says that if you download x collections per month, your monthly cost will be 2(x + 10). Logan says the cost will be 2(x + 5). Who is correct?
A. Only Carl is correct.
B. Only Logan is correct.
C. Both Carl and Logan are correct.
D. Both Carl and Logan are incorrect.

Answers

D. both are incorrect


Answer:

caral corect

Step-by-step explanation:

hes wrong not d

2(2x+9)=50 simplifyed

Answers

4x + 18 = 50
4x = 32
x = 8
whichever one XD
Answer is 8
2(2x+9)=50
4x+18=50
4x=32
x=8

Rewrite this logarithm as a subtraction of logs

Log11 (29/11)

Answers


[tex] log_{11}( \frac{29}{11} ) \\ = log_{11}(29) - log_{11}(11) \\ \\ as \: log_{11}(11) = 1\\ \\ therefore \: \: it \: becomes \\ \\ =log_{11}(29) - 1[/tex]

Final answer:

To rewrite the given logarithm as a subtraction of logs, use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.

Explanation:

The given logarithm is log11 (29/11). To rewrite this as a subtraction of logs, we can use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.

So, log11 (29/11) can be rewritten as log11 (29) - log11 (11).

It costs $6 to take 1 dog to the dog beach. It costs $1 more for each additional dog.

Answers

If C is the overall cost and x is greater than 1, the equation would look something like this:
C=6+x
If x is equal to 1
C=6
And so?  Please share the directions.

Total cost = $6 + ($1/ each add'l dog) * (number of add'l dogs)

Which of the following is not a valid probability?
A 0.3
B 1
C 0
B 106

Answers

Option B. 106 cannot represent anything, 106% is not a valid percentage. There is no probability about that. However, all the other numbers seem valid, so there.
The probability of any event happening must range from 0 to 1. Anything outside of these bounds is not a possible probability. Therefore, D. 1.06 is an invalid probability.

if the area of a square is 225 cm2, what is the length of the diagonal

Answers

√225 = 15 and since all sides of a square are the same size, the answer is 15.
15 x 15 = 225 
base x height = area of a square or rectangle. or Side^2 for a square.

what is the value of 6/x +2x to the second power when x is 3

Answers

Put x = 3 into the expression:

[tex]\dfrac{6}{x}+2x\to\dfrac{6}{3}+2\cdot3=2+6=8[/tex]

What is the height of a rectangular prism that has a volume of 192 cubic feet and a base with an area of 48 square feet? Explain your work.

Answers

A rectangular prism has 3 measurements: length (l), width (w) and height (h)
The volume of a rectangular prism has the formula: V=lwh
The area of the base of the rectangular prism is its length times its width; or 
Area of base = lw
So, the volume of the rectangular prism can be written as:
Volume = area of the base * height
Substitute in your numbers:
192=48*h
h=192/48
h=4
So the height is 4 feet

The height of the rectangular prism is 4 feet.

To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is given by:

[tex]\[ \text{Volume} = \text{Base Area} \times \text{Height} \][/tex]

Given that the volume of the rectangular prism is 192 cubic feet and the base area is 48 square feet, we can set up the equation as follows:

[tex]\[ 192 = 48 \times \text{Height} \][/tex]

To solve for the height, we divide both sides of the equation by the base area:

[tex]\[ \text{Height} = \frac{192}{48} \][/tex]

[tex]\[ \text{Height} = 4 \][/tex]

Therefore, the height of the rectangular prism is 4 feet.

A student ate 3/20 of all candies and another 1.2 lb. Another student ate 3/5 of the candies and the remaining 0.3 lb. Altogether, what weight of candies did they eat?

Answers

let
x-------> total weight of candies
we know that

x=(3/20)*x+1.2+(3/5)*x+0.3
x=(3/20)*x+(3/5)*x+1.5----> multiply by 20----> 20x=3x+12x+30
20x=15x+30
20x-15x=30
5x=30
x=6 lb

the answer is
6 lb

Answer:

6 Pounds

Step-by-step explanation:

Above

WILL MARK BRAINLIST!!!!

Just need question 1 (i) and 2 (i), (ii)

Answers

2i
y=4-2x and 4x+2y = 5 can be rewritten as:

 y = -2x + 4
2y = -4x + 5

Multiply all 3 terms of the first eq'n by 2:    2y = -4x + 8

Note that 2y = -4x shows up in both equations.  This is enuf info on which to conclude that the 2 lines have the same slope.

Can anybody correct me if I'm wrong? (I might be mixing my answers / questions up a bit) I also need more to be checked but anyways I'm very thankful for those who read into this.

Answers

for #32, the answer is the third one because you mixed up your x and y values, you were on the right track though
#33 is the last one

PLEASE HELP, ASAP!

Eumin pays $3.56 for 4 juice boxes.

How much would Eumin pay for 7 juice boxes?

Enter your answer in the box.

Answers

First you find how much one juice box costs,
3.56 / 4 = 0.89
Now since each costs $0.89, you multiply that by 7 
0.89 * 7 = $6.23

$6.23 is your answer

what decimal is equivalent to 6 %

Answers

As a decimal, the fraction 1/6 is equivalent to 0.1666, with the 6 repeating to infinity. To make it easier to write, one has the option of rounding the answer to 0.2, 0.17 or 0.167
0.06 is the equivalent to 6%

(Please help me!)
Which type of probability is determined by considering all possible outcomes, without actually testing them?

A. Empirical probability
B. Theoretical probability
C. Unpredictable probability
D. Random probability

Answers

Answer: (B) Theoretical probability.

Reason: Theoretical probability is based on reasoning by counting the numbers of favourable outcomes against the number of possible outcomes.

Answer: B. Theoretical probability

Step-by-step explanation: Theoretical probability is based on calculations, and not actual tests.

there are 200 end of the school year dance tickets available students who have perfect attendance are able to personage them in advance if 18 tickets were purchased in advance then what percent of the tickets were purchased in advance

Answers

9 percent because 18 divided by 200 is 0.09 or 9 percent.

The percentage of the tickets for the dance that were purchased in advance is 9%.

What is the percentage of the tickets that were bought in advance?

Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentage is %.

Percent of advance tickets bought = (number of advance tickets / total number of tickets) x 100

(18 / 200) x 100 = 9%

To learn more about percentages, please check: https://brainly.com/question/25764815

4.5 divided by 0.5+0.1 in computation words

Answers

Explanation of dividing 4.5 by 0.5+0.1 in computation words.

4.5 divided by 0.5+0.1 can be written as:

4.5 / (0.5 + 0.1)

To solve this, we first add 0.5 + 0.1 to get 0.6. Then, we divide 4.5 by 0.6 to find the result.

The result of the computation is 7.35.

To compute the given expression[tex]\(14.5 \times 0.5 + 0.1\):[/tex]

Multiplication :

  - Multiply [tex]\(14.5\)[/tex]  by [tex]\(0.5\).[/tex]

  - [tex]\(0.5\)[/tex] represents half, so you're essentially halving 14.5.

Half of [tex]\(14.5\) is \(7.25\).[/tex]

Addition :

  - Now add [tex]\(0.1\) to \(7.25\).[/tex]

  - The addition gives [tex]\(7.25 + 0.1 = 7.35.[/tex]

Thus, the result of the computation is 7.35.

Complete question : Write the computation in words: 4.5 divided by 0.5+0.1

Which statement is true about the distribution? A line ranging from 0 to 120 with boxes between 15 and 28, 28 and 34, 34 and 40, and 40 and 48. The IQR is the best measure of variability because the distribution has an outlier. Either the IQR or the range are good measures of variability because the distribution has an outlier. Either the IQR or the range are good measures of variability because the distribution has no outliers. The range is the best measure of variability because the distribution has an outlier.

Answers

Each statement mentioned indicates that there is an outlier.  Whenever there is an outlier, the interquartile range is always going to be the best measure of variability because an outlier will make the data seem more variable due to the number that is far away from the rest of the numbers.

The correct answer is the first choice.

Answer: The answer is A. "The IQR is the best measure of variability because the distribution has an outlier."

Step-by-step explanation:

Can somebody help/teach me about this please?


“Suppose the equation h=-16t^2 + 35t models the altitude a football will reach t seconds after it is kicked. IS THE GIVEN VALUE POSSIBLE?”

A: h= 16 ft. B: h= 20ft.

Answers

A. Since we know that [tex]h[/tex] is the altitude a football will reach t seconds after it is kicked, we are going to replace the altitude [tex]h=16[/tex] in our equation and solve for [tex]t[/tex]. If the equation has any positive real solutions, we can conclude that the given value is possible. 

We know from our problem that the given value is [tex]h=16[/tex], so lets replace that value in our equation and solve for [tex]t[/tex]:
[tex]h=-16t^2+35t[/tex]
[tex]16=-16t^2+35t[/tex]
[tex]16t^2-35t+16=0[/tex]
Solving for [tex]t[/tex]:
[tex]t=1.54[/tex] or [tex]t=0.65[/tex]

We can conclude that the given value, h=16, is possible. In fact, the ball reaches that height two times: at [tex]t=0.65[/tex] and [tex]t=1.54[/tex].

B. Just like before, we are going to replace the given value, [tex]h=20[/tex], in our equation [tex]h=-16t^2+35t[/tex], and then, we are going to solve for [tex]t[/tex] to check if the given value is possible. If the equation has any positive real solutions, we can conclude that the given value is possible.
[tex]h=-16t^2+35t[/tex]
[tex]20=-16t^2+35t[/tex]
[tex]16t^2-35t+20=0[/tex]
Solving for [tex]t[/tex]:
[tex]t= \frac{35+i \sqrt{55}}{32} [/tex] or [tex]t= \frac{35-i \sqrt{55}}{32} [/tex]

Since the equation doesn't have any real solutions, we can conclude that the given value, h=20, is not possible.

The given value h=16 ft is possible based on the quadratic equation model provided. By solving the equation h=[tex]-16t^2 + 35t[/tex] and substituting h=16, we find the possible values of t to be approximately 0.52 seconds or 1.48 seconds.

- For each given value of h, set [tex]\( h = -16t^2 + 35t \)[/tex] and solve for t.

- If you obtain real solutions, the given h is possible. If not, it isn't possible.

Checking for h=16:

1. Set h=16 and solve for t:

[tex]\[ 16 = -16t^2 + 35t \][/tex]

2. Rearrange to form a quadratic equation:

[tex]\[ -16t^2 + 35t - 16 = 0 \][/tex]

3. Solve for \( t \) using the quadratic formula:

[tex]\[ t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]

  where a= -16, b=35, c=16.

  - Find the discriminant:

   [tex]\[ b^2 - 4ac = 35^2 - 4 \times (-16) \times (-16) = 1225 - 1024 = 201 \][/tex]

  Since the discriminant is positive, this quadratic has real roots, indicating that h=16 is possible.

Checking for h=20:

1. Set h=20 and solve for t:

[tex]\[ 20 = -16t^2 + 35t \][/tex]

2. Rearrange to form a quadratic equation:

 [tex]\[ -16t^2 + 35t - 20 = 0 \][/tex]

3. Solve for t using the quadratic formula:

 [tex]\[ t = \frac{-35 \pm \sqrt{35^2 - 4 \times (-16) \times (-20)}}{2 \times (-16)} \][/tex]

  - Find the discriminant:

 [tex]\[ 35^2 - 4 \times (-16) \times (-20) = 1225 - 1280 = -55 \][/tex]

  Since the discriminant is negative, this quadratic has no real roots, indicating that h=20 is not possible.

Conclusion:

- The value h=16 is possible.

- The value h=20 is not possible.

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