Which graph represents the inequality? 2x + y < 4

Answer:  A. 10

Step-by-step explanation:

because its the right answer

The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.

We have given that, The equation x^2/24^2 - y^2/ (b)^2= 1 represents a hyperbola centered at the origin with a directrix of x = 576/26.

We have to find the value of b.

[tex]\frac{(x-h)^2}{a^2} -\frac{(y-k)^2}{b^2} =1[/tex]

We have given that,

[tex]x^2/24^2 - y^2/ (b)^2= 1 \implies \frac{(x-0)^2}{24} -\frac{(y-0)^2}{b^2} =1[/tex]

a=24,h=0 and k=0

Now equation of the directrix

x=a^2/c...(1)

and we know x=576/26...(2)

Therefore from 1 and 2 we get

24^2/c=576/26.

isolate the c so we get,

C=26

C= center of focii

[tex]c=\sqrt{a^2+b^2} \\c^2=a^2+b^2\\b^2=c^2-a^2\\b=10[/tex]

So we get the value of b is 10.

Therefore the equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.

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A monomial is a polynomial which has only one term. For example, the polynomial [tex]5x+2y^{2}[/tex], has two terms: [tex]5x[/tex] and [tex]2y^{2}[/tex]. The combination of these two terms would be classified as a binomial. However, each individual term is classified as a monomial.

he nbeeds to have atleast sold 3

If he had no money left over, the least number of brownies he had to have sold is 15 brownies. He would have made $4.20, and this would be enough to buy 7 packs of cards.

Answer:

[tex]B \neq 0[/tex]

Step-by-step explanation:

In the attachment!

[tex]\bf 8~~,~~\stackrel{8-2}{6}~~,~~\stackrel{6-2}{4}~~,~~\stackrel{4-2}{2}~~,~~\stackrel{2-2}{0}[/tex]

so, as you can see, the common difference is then -2, and the first term is clearly 8, thus

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\a_n=a_1+(n-1)d\qquad\begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\d=\textit{common difference}\\[-0.5em]\hrulefill\\a_1=8\\d=-2\\n=14\end{cases}\\\\\\a_{14}=8+(14-1)(-2)\implies a_{14}=8-26\implies a_{14}=-18[/tex]

Final answer:

The explicit formula for the given arithmetic sequence is an = 10 - 2n. By applying this formula, we find that the 14th term of the sequence (a14) is -18.

Explanation:

The sequence given is 8, 6, 4, 2, 0, ... and it is decreasing by 2 every term. This is an arithmetic sequence where each term is 2 less than the previous term. To write an explicit formula for an arithmetic sequence, we use the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the term number.

For this sequence, a1 = 8 and d = -2. Substituting these values into the formula, we get an = 8 + (n - 1)(-2). Simplifying this, the explicit formula for the nth term is an = 10 - 2n. To find the 14th term, a14, we substitute n = 14 into the formula: a14 = 10 - 2(14) = 10 - 28 = -18. Therefore, the 14th term of the sequence is -18.

d=discount tickets

f=full price tickets

d=f+180  (180 more full price tickets than discount tickets)

f+d=240

Answer:

b is the answer

Step-by-step explanation:

f + d = 240

f - d = 180

3 * 600 = 1800

Hundreds = 18 hundreds

Using Avogadro's number, you can calculate the number of molecules in a mass of water by dividing the number of molecules in a given mass by the mass, then multiplying by the mass you are interested in. Reverse the process to find the mass given the number of molecules.

This question is about molar calculations, or figuring out how many molecules are in a given mass of a substance using Avogadro's number. We can start by calculating how many molecules there are in one gram of water:

First, take the number of molecules in 0.065g of water (2.174 × 10^21), then divide that by 0.065 to find out how many molecules are in 1g. Then, multiply by 200 to find out how many molecules are in 200g of water.

For the second part of your question, we're given the number of molecules and need to find the mass in grams. Reverse the original calculation. If 2.174×10^21 molecules are in 0.065 g of water, then divide 1.271 × 10^28 by 2.174 × 10^21 to find out how many 0.065g portions there are. Then, multiply by 0.065 to get the mass in grams.

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Answer:

Option B - 2

Step-by-step explanation:

Given :The length of a spring when it’s at rest is measured to be 0.56 centimeter.

To find : How many significant figures are there in this measurement?

Solution :

There are two important rules to find the significant figure :

1) Non-zero digits are always significant.

2) Leading zeroes in front of decimal points are not significant.

Therefore, In the given measurement 0.56 cm.

There are only two significant figures.

So, Option B is correct.

The correct answer is option B.  The measurement 0.56 has 2 significant figures.

To determine the number of significant figures in the measurement 0.56 centimeter, we follow the rules for identifying significant figures:

1. Non-zero digits are always significant.

2. Any zeros between significant digits are also significant.

3. Leading zeros (zeros to the left of the first non-zero digit) are not significant.

4. Trailing zeros in a decimal number are significant.

For the measurement 0.56:

Therefore, the measurement 0.56 has two significant figures.

Answer:

length = 100 yd, width = 60 yd

Step-by-step explanation:

To solve this problem, you must set up an equation.

We know that he length (l ) is 40 yards greater than the width (w ). That means that the length is equal to the width + 40 yards, which can be written as l = w + 40. If the area of the field is 6000 square yards, that means the length times the width must be equal to 6000. Here is the equation that comes from it:

w * (w + 40) = 6000

You can simplify that even further:

w ^2 + 40w = 6000

Divide both sides by 40 to get rid of the coefficient:

w ^2 + w  = 150

Now subtract w from both sides, then take the square root of both sides:

w = sqrt(150-w)

You could keep simplifying this equation until you finally arrive at your answer:

w = 60.

This means that the length, which is 40 more than the width, is 100.

If you want to prove this answer, just multiply the width by the length, which is 60*100, which gives you 6000 square yards; just what you need!

The value of dimensions of the soccer field, in yards are,

⇒ w = 60, l = 40

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A school is building a rectangular soccer field that has an area of 6000 square yards.

And, The soccer field must be 40 yards longer than its width.

Let width of soccer field = w

Hence, Its length = w + 40

So, We get;

w (w + 40) = 6000

w² + 40w - 6000 = 0

w² + 100w - 60w - 6000 = 0

w (w + 100) - 60 (w + 100) = 0

w = - 100

w = 60

Since, Dimension are always positive.

Hence, w = 60

So, The value of dimensions of the soccer field, in yards are,

⇒ w = 60

l = 60 + 40 = 100

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[tex]f(x)=\dfrac{x}{2}-3,\ g(x)=3x^2+x-6\\\\(f+g)(x)=f(x)+g(x)=\left(\dfrac{x}{2}-3\right)+(3x^2+x-6)=\dfrac{1}{2}x-3+3x^2+x-6\\\\=3x^2+1\dfrac{1}{2}x-9[/tex]

[tex]Answer:\ \boxed{B.\ 3x^2+\dfrac{3}{2}x-9}}[/tex]

$12 per ticket divide 48 and 4 then if u want multipy 4x12=48

We are required to find the cost of 5 movie tickets

The Cost of 5 movie tickets is $60

Given:

Cost of 4 movie tickets = $48

Cost of each movie tickets = Cost of 4 movie tickets ÷ 4

= $48 ÷ 4

= $12

So,

Cost of 5 movie tickets = Cost of each movie tickets × 5

= $12 × 5

= $60

Therefore, the Cost of 5 movie tickets is $60

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Answer: [tex]a=\frac{k}{9b+4}[/tex]

Step-by-step explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓

First, flip the equation.

[tex]9ab+4a=k[/tex]

Next, factor out variable a.

[tex]a(9b+4)=k[/tex]

Then, divide by 9b+4 from both sides.

[tex]\frac{a(9b+4)}{9b+4}=\frac{k}{9b+4}[/tex]

[tex]=a\frac{k}{9b+4}[/tex]

Hope this helps!

Thank you for posting your question at here on brainly.

-Charlie

Answer:

The value of a is [tex]a=\frac{K}{4+9b}[/tex].

Step-by-step explanation:

The given equation is

[tex]K=4a+9ab[/tex]

We have to solve the above equation  for a. So, we need to isolate the variable a.

Taking out a from the left side.

[tex]K=a(4+9b)[/tex]

Divide both sides by 4+9b to get the value of a.

[tex]\frac{K}{4+9b}=\frac{a(4+9b)}{4+9b}[/tex]

Cancel out the common factors from numerator and denominator.

[tex]\frac{K}{4+9b}=a[/tex]

Therefore the value of a is [tex]a=\frac{K}{4+9b}[/tex].

The better deal is the 21-ounce one because its unit rate equals less than the 17-ounce one

Break down the price per ounce.

[tex]\frac{4.89}{17} = 28[/tex] [28¢ per ounce]

[tex]\frac{5.69}{21} = 27[/tex] [27¢ per ounce]

The box of Cheerios is the better deal.

(3.5x10^-5) (3x10^-10)

Lets break this problem up so that we can answer it more smoothly!

This question can be answered with PEMDAS. 1. Parenthesis, 2. equation, 3. multiplication, 4. division, 5. addiction, and 6. subtraction. As I listed the PEMDAS formula in order, we see that parenthesis comes first.

So,

(3.5x10^-5)

35^-5= 0.000035.

So, we have the first parenthesis equation solved, we will have to multiply the equation we just solved with the next equation because 2 parenthesis' together create a multiplication. For an example, 3(4) would be 12.

(3x10^-10)

30^10= 3e-10

0.000035x3e-10=1.05e-14

Your answer is:

1.05e-14

We are ecstatic to help you and If you have any questions, or if we solved something incorrectly please tell us! Thank you <3

-ExperimentsDIYS

Interesting problem.

A palindrome is a number which is identical when read/interpreted left-to-right or right-to-left.   For example, 14241 is a palindrome, so is 444444.

A three digit palindrome must be made up of two distinct digits only, one for the first and last digits, and one for the middle, for example, 424, or 515, etc.

For a number to be divisible by 9, the sum of the digits must add up to a multiple of 9, such as 0, 9, 18, 27, etc.

We can now form a table of the possible 3-digit palindromes divisible by 9, starting with the first/last digits (=A), and finding the middle digit (=B).  The number is therefore represented by the pattern ABA.

For example, when A=1, we have the number 1B1.  For the number to be divisible by 9, B=7 so that sum=1+7+1=9, which is divisible by 9.

For each value of A (from 1 to 9) we can only find one value of B that makes the number divisible by 9.   Thus we can only find nine such numbers, with A equal to 1 to 9.

Here's a list of the numbers

A   B   number

1    7    171

2   5    252

3   3    333

4   1     414

5   8    585

6   6    666

7   4    747

8   2   828

9   0   909

There are 9 unique 3-digit palindromic numbers that are divisible by 9. This is determined by the rule that a number is divisible by 9 if the sum of its digits is also divisible by 9, considering the constraints of palindromic numbers.

To find 3-digit palindromic numbers that are divisible by 9, we must first understand what qualifies as a palindromic number. A palindromic number is a number that remains the same when its digits are reversed. For a 3-digit number, this means the first and last digits must be the same (i.e., the form is aba, where a and b are digits).

Since our objective is to find those divisible by 9, we must recall the divisibility rule for 9: a number is divisible by 9 if the sum of its digits is also divisible by 9. For a 3-digit palindromic number aba, the sum of its digits is 2a + b. For this sum to be divisible by 9, a and b must be chosen accordingly.

The smallest 3-digit palindromic number is 101, and the largest is 999. To be divisible by 9, the sum of the digits must equal 9, 18, 27,..., or 81 (the largest sum for a 3-digit number where the first and last digits are the same). Since there are 9 possible sums (9 to 81 inclusive), and each sum offers a unique number that satisfies the palindrome and divisibility criteria, there are 9 such numbers.

Therefore, there are 9 unique 3-digit palindromic numbers divisible by 9.

The answer is 2+2=4 LOL

Answer:

4 because two plus two is four minus 0 equals 4

There would be 60 pages in the book totally because you would set 40/x=2/3 and solve for x.

40/x=2/3

2x=120

x=60

Final answer:

The student read [tex]\frac{2}{3}[/tex] of a book, equivalent to 40 pages. By setting up a proportion and solving for the total number of pages, it's determined that the book has 60 pages in total.

Explanation:

The student asked a question related to proportion which falls under the category of Mathematics. They read 40 pages, and this is [tex]\frac{2}{3}[/tex] of the book. To find out the total number of pages in the book, we set up a proportion.

Let the total number of pages in the book be x. According to the given information, [tex]\frac{2}{3}[/tex] of the book is 40 pages. Therefore, we can write this as a proportion:

[tex]\frac{2}{3} = \frac{40}{x}[/tex]
[tex]x = 40*\frac{3}{2}[/tex]
x = 60

The book has 60 pages.

In a parallelogram, consecutive

angles are supplementary

Answer:

In a parallelogram, consecutive angles are supplementary.

Step-by-step explanation:

Consecutive angles in a parallelogram have a sum of 180°; this means they are supplementary.

All angles in a parallelogram are not necessarily congruent; the second statement is therefore not true.

Consecutive angles in a parallelogram are not necessarily congruent; therefore the third statement is not true.

Consecutive angles in a parallelogram are not complementary, as they add up to 180° instead of 90°.

Answer:

a= 8

Step-by-step explanation:

-a is left at the left hand side then the positive 4 goes to the right hand side and becomes negative.

Hence

-a= -4-4

adding up the right hand side will result in negative 8(-8)

-a=-8

the negative sign will be canceled on both sides resulting in positive value

a=8

1. 0.48

2.8.48

3.124

4.29

5.530

6.1056

The diagonals of a rectangle are congruent. That means that their lengths are equal. One diagonal is AC, and the other diagonal is BD. AC must equal BD. We set their lengths equal and solve for x.

3(x - 2) = x + 18

Distribute the 3 on the left side.

3x - 6 = x + 18

Subtract x from both sides; add 6 to both sides.

2x = 24

Divide both sides by 2.

x = 12

Now that we know x = 12, we replace x with 12 in BD = x + 18 to find the length of BD.

BD = x + 18 = 12 + 18 = 30

Since the diagonals are congruent, the length of AC is also 30.

Answer:   AC = 30;  BD = 30

The length of the diagonals of the rectangle are AB = 30 and BD = 30

A 4-sided flat shape with straight sides where all interior angles are right angles (90°). Also, the opposite sides are parallel and of equal length.

Given that, ABCD is a rectangle and its diagonals are  AC= 3(x-2) and BD=x+18

According to the property of a rectangle,

Diagonals of a rectangle are equal.

Therefore, AC = BD

3(x-2) = x+18

3x-6 = x+18

2x = 24

x = 12

AC = 3(12-10) = 30

BD = 12+18 = 30

Hence, the diagonals of the rectangle are AB = 30 and BD = 30

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Hello!

[tex]3(2- 0.9h)+ (-1.3h - 4)\\[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

First you had to remove parenthesis.

[tex]3(2-0.9h)-1.3h-4[/tex]

Then you can expand.

[tex]3(2-0.9h):6-2.7h[/tex]

[tex]6-2.7h-1.3h-4[/tex]

Simplify it should be the correct answer.

[tex]6-2.7h-1.3h-4:-4h+2[/tex]

[tex]-4h+2[/tex]

Answer⇒⇒⇒⇒-4h+2

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Have a great day!

-Charlie

3(2 – 0.9h)+ (-1.3h - 4)

3x2=6

-0.9hx3=-2.7h

(-2.7h+-1.3h)= -4h

(2+-4)=2

anwser: 2+-4h

Lines L and M are parallel

m<2 = 38° (corresponding angles are equal)

The father is 27 because when they said 3 TIMES OLDER THEN THE SON he was 9

The father is 24 years old and the son is 6 years old. You know this is right because it shows that the father 4 times older than the son

the answer to your question is...

the 7 is in the tenths place