5 over 7 divided by 2 over 7

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

Answer:4682.830393

Step-by-step explanation:

Answer:

Rhombus and angle 1 = 35

Step-by-step explanation:

The parallelogram has the same marking on each of its sides, indicating that all the sides are equal in length. It is, therefore, a rhombus.

It is given that one of the angles measures 110 degrees. The other angle is 70 degrees (because 180 - 110 = 70). Since it is bisected by a line, divide the angle by 2 (70/2). You get 35 degrees. Therefore, the measure of angle 1 is 35 degrees.

I hope this helps! :)

The corresponding angle to angle 9, according to the figure  is

angle 11

Corresponding angles are a pair of angles that are formed on the same side of a transversal line and in the same relative position with respect to the parallel lines being intersected by the transversal.

In simpler terms corresponding angles are formed when a line crosses two parallel lines  and the angles are in corresponding positions on each of the parallel lines.

Using the figure, the parallel lines are l and m and angle 9 and angle 11  are at the vertex of he triangles formed.

The two triangles formed are congruent (parallel lines l and line m ensures equal length of sides), According  to CPCTC theorem

angle 9 ≅ angle 11

angle 20 ≅ angle 6

angle 16 ≅ angle 7

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complete question

What is/are two corresponding angles to angle 9?

Answer:

d

Step-by-step explanation:

the correct answer is option d

There are 57 different ways a person can vote for the regional judges.

To determine the number of different ways a person can vote for regional judges, we can use the concept of combinations. In this case, we want to find the number of ways to choose a certain number of judges from a total of 6 candidates.

Since voters can choose to vote for 0, 1, 2, 3, or 4 judges, we need to find the sum of all the possible combinations for each number of judges.

For choosing 0 judges, there is only one possible combination (choosing none).

For choosing 1 judge, there are 6 possible combinations (choosing one out of the six candidates).

For choosing 2 judges, there are \(C(6, 2) = 15\) possible combinations. This is calculated using the combination formula, which  \(C(n, r)\)represents the number of combinations of choosing r items from a set of n items.

For choosing 3 judges, there are \(C(6, 3) = 20\) possible combinations.

For choosing 4 judges, there are \(C(6, 4) = 15\) possible combinations.

To find the total number of different ways a person can vote, we sum up the number of combinations for each scenario:

\(1 + 6 + 15 + 20 + 15 = 57\)

Therefore, there are 57 different ways a person can vote for the regional judges.

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Answer:

a) 16.82 mg

b) 24 days

Step-by-step explanation:

Formula for exponential growth is given as:

\(A=A_0b^{\frac{t}{c}}\)

Where A is the final population

\(A_0\) is the initial population

b is the growth factor

c is the time taken for the growth 'b'

t is the amount of time

Here, We are given the following:

\(A_0\) = 5 mg

b = 2 (Given because it doubles)

c = 4 days

a) A = ?

Using the formula:

\(A=5 \times 2^{\frac{7}{4}}\\\Rightarrow A=5 \times 2^{1.75} \\\Rightarrow A = \bold{16.82\ mg}\)

b) Given

A = 320 mg

t = ?

Using the above formula again:

\(320 = 5 \times 2^{\frac{t}{4}}\\\Rightarrow \dfrac{320} 5= 2^{\frac{t}{4}}\\\Rightarrow 2^{\frac{t}{4}} = 64\\\Rightarrow 2^{\frac{t}{4}} = 2^6\\\Rightarrow \dfrac{t}{4} = 6\\\Rightarrow t = 6 \times 4\\\Rightarrow \bold{t = 24\ days}\)

So, the answers are:

a) 16.82 mg

b) 24 days

Answer:

Okay I'm not sure this is correct, but I would like to try.

I think the answer is -15.

Step-by-step explanation:

I'm not to good at doing these problems, what I did was do 50 - 65 = ?

and I got -15.

I hope I helped! :)

Answer:

165 Calories

Step-by-step explanation:

A gram of carbohydrate contains 4 calories. A gram of protein also contains 4 calories. A gram of fat, though, contains 9 calories

5x9=45 10x4=40 20x4=80 45+40+80= 165

Answer:

400(3)^3

Step-by-step explanation:

It tripled for 3 hours which is 3^3 and there's 400 bacteria

The possible solution set for the system is (- 1, 4) and (4, - 1).

Given are the equations as -

x + y = 3

x² + y² = 17

Refer to the graph of the function attached. The points of intersection represents the possible solution set.

Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).

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Answer:

Step-by-step explanation:

2 values

x^2-1=0

x^2=1

x=±1

thes are the two values for which the function is discontinuous.

Answer:

25

Step-by-step explanation:

5x - 5 + 2x + 10 = 180

7x + 5 = 180

7x = 175

x =25

Answer: the answer to this question is X = 25

The degree for 5x - 5 = 5(25) - 5 = 120 degrees (we are putting 25 in for x to get the sum of the degree)

The degree for 2x+10 = 2(25)+10 = 60 degrees (we are putting 25 in for x to get the sum of the degree)

Let's walk through the steps:

Step 1: Simplify both sides of the equation.

5x−5+2x+10=180

5x+−5+2x+10=180

(5x+2x)+(−5+10)=180 (Combine Like Terms)

7x+5=180

Step 2: Subtract 5 from both sides.

7x+5−5=180−5

7x=175

Step 3: Divide both sides by 7.

7x/7 = 175/7

x = 25

When two variables vary directly they follow the next:

k is a constant.

Use the given data: when x=48, y=36 o find the value of k:

Then, x and y vary directly following the next equation:

Use the equation above to find x when y=18:

Answer: 2/7

Step-by-step explanation: 8 people with a dog/28 total people

8/28=4/14=2/7

Answer: Scatter Plot 2

Step-by-step explanation: Usually with graphs like this, anything relative to time (age) will be on the x axis because the text messages depends on the age. This immediately knocks out number 1. Then you just have to start graphing points on the scatter plot and whichever one lines up best, which happens to be #2, is the correct answer.

Hope this helps.

Answer:

x < -1

Step-by-step explanation:

7x + 6 < 3x + 2

7x - 3x + 6 < 2

7x - 3x < 2 - 6

4x < -4

x < -4 / 4

x < -1

The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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The half-life of a radioactive substance can be determined when 50% of the initial amount remains. In this case, after 1 year, 90% of the substance remains. To find the half-life, we need to determine the time it takes for the substance to decay to 50% of the initial amount.

Since after 1 year, 90% of the substance remains, it means that 10% of the substance has decayed. We can set up the equation: 0.10 = 0.50^(t/h), where t represents the time elapsed and h represents the half-life.
Taking the logarithm of both sides, we get: log(0.10) = (t/h) * log(0.50). Solving for (t/h), we have: (t/h) = log(0.10) / log(0.50).
Now, we can substitute the values and calculate the (t/h) ratio. Taking the inverse of this ratio will give us the half-life, h, in the desired time unit (e.g., years, days, hours).
It's important to note that the half-life represents the time it takes for the substance to decay to half of its initial amount. In this case, since 90% remains after 1 year, the half-life will be longer than 1 year.

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The formula is true for all positive integers n.

The formula to verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given by the formula is as follows :1² + 2² +3²+...+(2n)² =n(2n + 1)(4n+1)/ 3

To prove this formula is true for all n greater than or equal to 1, we need to use the mathematical induction method.

Base case:

Let's assume that n= 1. Then,1² + 2²=1(2(1)+1)(4(1)+1)/ 3=5/3Therefore, the formula is correct for the initial case (n=1).

Induction Hypothesis:

Suppose that the formula is true for all integers 1≤ k ≤ n. That is, 1² + 2² + 3² + ... + (2k)²= k(2k+1)(4k+1)/3.

We have to prove that this formula is true for the case n+1, i.e.1² + 2² + 3² + ... + (2n)² + [(2(n+1))]² = (n+1)[2(n+1)+1][4(n+1)+1]/3

Proof:

Now, we will prove the induction step, as follows:

(1² + 2² + 3² + ... + (2n)²)+ [(2(n+1))]²=(n+1)(2(n+1)+1)(4(n+1)+1)/3(k= n+1)

[Using Induction Hypothesis]= k(2k+1)(4k+1)/3= (n+1)[2(n+1)+1][4(n+1)+1]/3

Therefore, the formula is true for all positive integers n.

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Answer:

what equation?

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2(x+1)^2+3=21

2(x+1)^2=9

x+1=3

x=2

There are a total of 25⁸ ways to select an unordered group of eight numbers between 1 and 25 inclusive with repetition. This is because for each of the eight numbers, there are 25 options to choose from, and the choices are independent of each other.

To find the fraction of these ways in which the sum of the numbers is even, we need to use the principle of inclusion and exclusion. First, we count the total number of ways in which the sum of the numbers is odd. This is equal to the number of ways in which an odd number of the eight numbers are odd, and the rest are even. There are 12 odd numbers and 13 even numbers between 1 and 25 inclusive.

Using the binomial coefficient, the number of ways in which the sum of the numbers is odd is:

C(8,1) * 12¹* 13⁷ + C(8,3) * 12³ * 13⁵ + C(8,5) * 12⁵ * 13³ + C(8,7) * 12⁷ * 13¹ = 9,676,454,400

Therefore, the number of ways in which the sum of the numbers is even is:

25^8 - 9,676,454,400 = 6,400,821,094,400

And the fraction of these ways is:

6,400,821,094,400 / 25⁸ = 0.5351

So, approximately 53.51% of the ways to select an unordered group of eight numbers between 1 and 25 inclusive with repetition have an even sum.

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Answer:

The correct answer is:

A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).

Step-by-step explanation:

We are given the system of equations as:

\(1.\ y=-\dfrac{2}{3}x-1\\2.\ y=\dfrac{2}{3}x+1\\\)

We have 2 equations here with variables x and y so we use coordinate grid with 2 lines having axis as x and y.

As per the given options, we can see that coordinate of one point has y = 0 and other point has x = 0.

So, let us put y = 0 and x =0, in both the equations one by one and have a look at the value of x coordinate.

y = 0, Equation (1) becomes:

\(0=-\dfrac{2}{3}x-1\\\Rightarrow 1 =-\dfrac{2}{3}x\\\Rightarrow x = - 1.5\)

So, one coordinate is (-1.5, 0)

x = 0, Equation (1) becomes:

\(y=-\dfrac{2}{3}\times 0-1\\\Rightarrow y =-1\)

So, other coordinate is (0, -1)

And the point (3, -3) also satisfies the given equation.

y = 0, Equation (2) becomes:

\(0=\dfrac{2}{3}x+1\\\Rightarrow 1 =-\dfrac{2}{3}x\\\Rightarrow x = - 1.5\)

So, one coordinate is (-1.5, 0)

x = 0, Equation (2) becomes:

\(y=\dfrac{2}{3}\times 0+1\\\Rightarrow y =1\)

So, other coordinate is (0, 1)

And the point (3, 3) also satisfies the given equation.

Please refer to the attached graph and points on lines.

So, correct answer is:

A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).

Answer:

D

Step-by-step explanation:

trust

Answer:

X = 19 songs

Step-by-step explanation:

Y = 0.95x + 7.95

26 = 0.95x + 7.95

Solve for x

26-7.95 =0.95x

18.05/0.95 = x

X = 19 songs

Answer:

A) \(\sqrt{3}\)

Step-by-step explanation:

in a 30-60-90 triangle the sides, respectively, are in the ratio of 1 : \(\sqrt{3}\) : 2

Answer:

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

After 3 half-lives the remaining amount becomes:

Convert 1/8 to percent: