HELP ASAP
(9x – 19)°
127⁰​

Answer:

The roots are {-6, -3}

Step-by-step explanation:

We are given four possible roots.  To determine whether or not a particular possible root is actually a root, we use synthetic division.  If the remainder is zero, we may conclude that this is actually a root.

Determine whether or not -3 is a root.  Setting up synthetic division, we get

-3  /  2    18     36

              -6    -36

     ---------------------

      2       12     0

Since the remainder is zero, -3 is a root.

Try -6:  Is this a root of 2x + 12?  Setting up synthetic division, we get

-6    /    2     12

                  -12

      ----------------

          2        0

The remainder is again zero, so -6 is also a root of the original equation.

The roots are {-6, -3}

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The Correct choices are ~

b and d

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

Let's solve ~

There's two cases here,

Case # 1 - when 2x + 6 = 0

Case # 2 - when x + 6 = 0

Hence, the roots are -3 and -6 ~

Answer:

6x+42

Step-by-step explanation:

By using Distributive Property we distribute 6 by multiplying both x and 7 by 6

(6*x)+(6*7)

6x+42

Answer:

6x+42

Step-by-step explanation:

if you multiply a number in this case 6 by a pharenthesis you have to multiply that number by each term inside the pharenthesis.

6(x+7) is 6*x +6*7 = 6x+42

Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

To find the area of a sector, we can use the formula:

Area = (θ/360) × π × \(r^2\)

where θ is the central angle in degrees, π is approximately 3.14, and r is the radius.

Given a central angle of 131° and a radius of 7.2 ft, we can plug in these values into the formula to find the area:

Area = (131/360) × 3.14 × (7.2\()^2\)

Calculating this expression:

Area = (0.3639) × 3.14 × (7.2\()^2\)

Area ≈ 28.879 f\(t^2\)

Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

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Answer: The nth term of the sequence whose integers are between 1 -9 such that there is the permission of repetition but no two consecutive digits must be even is 1.834 x \(10^{21}\)

Step-by-step explanation:

Given data,

Two people pair up to create a sequence. Each of them pick five random digits from 1 to 9.

Define Consecutive numbers :

Consecutive numbers are numbers that follow each other in order. They have a difference of 1 between every two numbers. In a set of consecutive numbers, theme an and the median are Equal. If n is a number, then n, n+1, and n+2 would be consecutive numbers Examples. 1, 2, 3, 4, 5.

The numbers that are given:

Now, suppose a (n) denotes the number of n-digit positive integers as stated in the question, thereby using:

              = (9!) x (8!) x (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

             = 362880 x 40320 x 5040 x 720 x 120 x 24 x 6 x 2 x 1

            \(n^{th}\) = 1.834 x \(10^{21}\)

Therefore,

The nth term of the sequence whose integers are between 1 -9 such that there is the permission of repetition but no two consecutive digits must be even is 1.834 x \(10^{21}\).

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Answer:

It is not. A multiplicative inverse is the reciprocal for a number. For a fraction, the form would change from a/b to b/a. In this case the multiplicative inverse of 7/8 would be 8/7.

Answer:

20

Step-by-step explanation:

= 0.25 (20−(22) (3) (\(\frac{2}{5}\)(25)

= 0.25 (20−(4) (3) (\(\frac{2}{5}\)(25)

= 0.25 (20−12) (\(\frac{2}{5}\)(25)

= (0.25) (8) (\(\frac {2} {5}\)(25)

= 2 (\(\frac {2} {5}\)(25)

= (2) (10)

= 2 x 10 = 20

Answer:

Angels D and G

Step-by-step explanation:

Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Although in this case angels D and G dont have opposite angels so in this cade their is only 2 alternate exterior angels.

I hope this helps have a great day and happy holidays  (｢•-•)｢

Answer:

∠D and ∠G

Step-by-step explanation:

Think about what alternate exterior angles are:

Putting these two elements together, we can clearly see the alternate exterior angles are ∠D and ∠G.

Answer:

8 and 11, or -8 and -11

Step-by-step explanation:

Let the bigger number be x and the smaller number be y.

Since they differ by 3, then \(y+3=x\)

Since the product is 88, then \(x*y=88\)

Substitute \(x=y+3\) into the second equation of \(x*y=88\) to get:

\((y+3)*y=88\)

Multiply accordingly:

\(y^2+3y=88\)

Subtract 88 from both sides to get a quadratic equation:

\(y^2+3y-88=0\)

Factor:

\((y-8)(y+11)=0\)

\(y=8\) or \(y=-11\).

There can be two values for y.
If y is 8, then x would be 11 as \(8+3=11\)

If y is -11, then x would be -8 as \(-11+3=-8\)

The two numbers are 8 and 11, or -8 and -11.

Answer:

11 and 8

Step-by-step explanation:

x-y=3

(X)(y)=88

Answer:

\((3 - 5i) + ( - 2 + 8i) \\ 3 - 5i -2 + 8i \\ 3 - 2 - 5i + 8i \\ 1 + 3i \\ \)

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer:

YA 3.14 IS A RATIONAL NUMBER

A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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The value of the angle ∠ABD is found to be 35°.

An angle is a figure in Plane Geometry consisting of two rays or lines that have a common endpoint.

Now, as per the given question;

The ∠ABC comprises of two angles ∠ABD and ∠DBC.

Thus, it can be written as;

∠ABC = ∠ABD + ∠DBC

We have to estimate the value of the angle ∠ABD.

Thus,

Rearranging the angles;

∠ABD = ∠ABC - ∠DBC

The values of angles are given;

∠ABC = 118° and ∠DBC = 83°.

Substituting the values;

∠ABD = 118° - 83°

∠ABD = 35°

Therefore, the value of the is ∠ABD obtained as 35°.

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To determine the amount of ice cream you get for each option, let's assume that the cone and the tub of ice cream contain different volumes of ice cream.

Let's assign a hypothetical volume to each option:

Ice Cream Cone : Let's say the cone contains 3 scoops of ice cream.

Ice Cream Tub : Let's say the tub contains 5 scoops of ice cream.

Now, let's move on to comparing the prices and determining which option is a better deal.

To compare the two options, we can calculate the price per scoop for each:

Price per Scoop for Cone = $4 / 3 scoops

Price per Scoop for Tub = $6 / 5 scoops

Calculating the values:

Price per Scoop for Cone = $1.33 per scoop (rounded to 2 decimal places)

Price per Scoop for Tub = $1.20 per scoop (rounded to 2 decimal places)

Based on the calculations, the price per scoop for the tub of ice cream is slightly lower than the price per scoop for the cone. Therefore, the tub of ice cream is the better deal in terms of price.

In summary, if you order the ice cream cone, you get approximately 3 scoops of ice cream, while if you order the tub of ice cream, you get approximately 5 scoops. Comparing the prices per scoop, the tub of ice cream is the better deal as it has a lower price per scoop compared to the cone.

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Answer:

Argentina

Step-by-step explanation:

this is the correct answer

Answer:

62/51

Step-by-step explanation:

When dividing by a fraction, you multiply by the reciprocal instead. So, multiply 31/2 times 51/4 to get 62/51

The population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.

All these elements are taken into account when formulating the population growth formula.

r = [(b + i) - (d + e)]/1000

Put the values in the formula.

r =  [(2,000 + 100) - (500 + 200)]/1000

r = 2100 - 700/ 1000

r = 1.4

Thus, the population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.

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Answer:

40%

Step-by-step explanation:

It would be 40% percent because when you divide 84 by 60 you would get 1.4. The 1 is the price staying the same. The .4 is the precentage. You would get 40% by moving the decimal to the right of the number

To evaluate the double integral ∬r(5x^8y)^2 da, we need to determine the limits of integration for both x and y within the region R.

(a) The triangle R has vertices at (-1, 0), (0, 1), and (1, 0). To set up the iterated integral, we can integrate over x first, then y. The limits of integration for x will depend on the y-value within the triangle.

Considering the left side of the triangle, the limits of integration for x are -1 to 0. For the right side of the triangle, the limits of integration for x are 0 to 1. As for y, it ranges from the bottom of the triangle (y = 0) to the top (y = 1 - x).

Therefore, the iterated integral can be expressed as:

∬r(5x^8y)^2 da = ∫[-1,0]∫[0,1-x] (5x^8y)^2 dy dx.

We first integrate with respect to y, from 0 to 1 - x, and then integrate the resulting expression with respect to x, from -1 to 0.

In the first integration, we obtain the expression (5x^8y)^2 evaluated from y = 0 to 1 - x. This simplifies to (5x^8(1 - x))^2.

In the second integration, we evaluate the expression (5x^8(1 - x))^2 with respect to x from -1 to 0. This will give us the final value of the double integral.

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Answer:

4

Step-by-step explanation:

Use slope intercept form: \(\frac{y_2-y_1}{x_2-x_1}\)

\(\frac{6-2}{2-1}\) = \(\frac{4}{1}\) = 4

needless to say that the conversion from miles to kilometers uses a constant value, and therefore, they're directly proportional.

now, I could write the direct proportional relation blah blah but there's no need, we can simply squeeze it out of the table by simply checking how many kilometers there are in 1 mile.

well, we know that 11.0 miles give us 17.699 km, ok hmmm if we divide 17.699 ÷ 11 = 1.609.

if we do the same on table for 26 and 41.834, so 41.834 ÷ 26 = 1.609, and the next pair 54.706 ÷ 34 = 1.609, the value of 1.609 is consistent or constant, or namely that there are 1.609 kilometers in 1 mile.

Answer:

c = 5

Step-by-step explanation:

4 (c - 3) = 8

4c - 12 = 8

     +12  +12

4c = 20

c = 5    Check:

4 (5 - 3) = 8

20 - 12 = 8, the answer is correct

From the information given,

BA is congruent to AC

AD is common to triangle ABD and ACD

Since the two sides of triangle ABC are congruent, it means that the triangle is an isosceles triangle. Thus,

angle ABD = angle ACD

Triangle ABD and ACD are congruent. Thus, the corresponding sides are congruent

If BD = 3, then

CD = 3

Answer:

The line from point F to point C shows the diameter.

Step-by-step explanation:

The diameter of a circle is the measure from one side of it to the other, but it must run directly through the middle. The only line the runs directly through the middle of this circle is line FC, the line that goes from point F to point C.

I hope this helps!

The ant population will double in approximately 24 weeks, or 6 months. This can be found using exponential growth formula.

To find the time it takes for the ant population to double we can use the formula for exponential growth: A = A0 * e^(rt), where A is the population at a given time t, A0 is the initial population, r is the growth rate, and e is the mathematical constant approximately equal to 2.718.

In this case, we have A0 = 4,000, r = 0.03 (since the population is increasing at a rate of 3% per week), and we want to find the value of t when A = 8,000 (since we want to know when the population has doubled). Plugging these values into the formula, we get:

8,000 = 4,000 * e^(0.03t)

Dividing both sides by 4,000 and taking the natural logarithm of both sides, we get:

ln(2) = 0.03t

Solving for t, we get:

t = ln(2) / 0.03

Using a calculator, we find that t is approximately 23.1 weeks. Rounded to the nearest week, this is 24 weeks. Therefore, it will take approximately 24 weeks, or 6 months, for the ant population to double.

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Answer:

A. The table is correct.

B. The constant of proportionality is .5, or 1/2.

C. y = .5x, or y = (1/2)x

D. (.5)(17) = $8.50

Answer:

please see the attached I put the answer

Step-by-step explanation:

you answer were correct but you change the sign one of them will be positive.

The most important statistic that is obtained through nasometry is the mean nasalance score. Nasometry is a measure of nasalance, which refers to the amount of sound energy that is transmitted through the nose during speech production.

This measure is obtained by comparing the acoustic energy of the sound produced by the mouth and the sound produced by the nose. The mean nasalance score provides information about the average amount of nasality in a person's speech, which can be useful in diagnosing and treating speech disorders such as cleft palate or velopharyngeal insufficiency. The other terms mentioned, such as fundamental frequency and range, are not directly related to nasometry or nasalance.

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