PLS HELP I WILL HELP BACK 15 POINTS WILL GIVE BRAINLIEST Write the equation of a polynomial, in standard form, that has:

Zeros: 3, -2/5, 3i

leading coefficient of -5

Answer:

55.5 B

Step-by-step explanation:

We have the following points of data

48, 49, 50, 51, 54, 55, 56, 58, 60, 62, 63, 63

The median is the data point in the middle (when listed in order)

If we find the middle number we'll see that it's between 55 and 56. When this is the case you find the average of  the two numbers (add them and divide by 2)

(55+56)/2=55.5

Answer:

B. 55.5

Step-by-step explanation:

The pH of a 0.174 M monoprotic acid whose K, is 2.079 x 10-3 is 1.8.

pH of a 0.174 M monoprotic acid whose K, is 2.079 x 10-3 can be found as follows; pH represents the measure of acidity of a solution which is given by the negative logarithm of the hydrogen ion concentration. Mathematically, it is given by the equation:  

pH = -log[H+]

Where [H+] is the hydrogen ion concentration. We can use the expression for acid dissociation constant of the acid to calculate the hydrogen ion concentration using the following formula:

K_a = ([H+][A-])/[HA] where K_a is the acid dissociation constant, HA is the acid and A- is the conjugate base of the acid. For a monoprotic acid like this one, the acid and its conjugate base are equal.

Therefore, [A-] = [HA] and the equation becomes:

K_a = ([H+][HA])/[HA]

K_a = [H+]^2/[HA] [H+]

= √(K_a*[HA])

The pH of the solution can be calculated using the expression: pH = -log[H+]

Combining the two expressions:

pH = -log(√(K_a*[HA]))

pH = -0.5log(K_a*[HA])

Substituting the given values;

K_a = 2.079 x 10-3M and [HA] = 0.174 M:

pH = -0.5log(2.079 x 10-3 * 0.174)

pH = 1.8

Therefore, the pH of a 0.174 M monoprotic acid whose K, is 2.079 x 10-3 is 1.8.

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Answer:

there you go

Step-by-step explanation:

The required equation in the given format is given as y = 5(x - 1)² + 90.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,

Given equation,
y=5x² -30x+95

Take 5 commons from terms 5x²  and 30 and put it in parenthesis, in the parenthesis add and subtract 1

y = 5[x² - 2x + 1 - 1]+ 95

y = 5 (x - 1)² - 5 + 95
y = 5(x - 1)² + 90

Thus, the required equation in the given format is given as y = 5(x - 1)² + 90.

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On solving the provided question we cans ay that - the value of the following exponent is \(10^-5\)

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

here,

\(10^-5\) = \(\frac{1}{10^5}\)

= 1/100000

=0.00001

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I don’t understand what this question is asking for but here is what I understood.

8 comes after 7 and before 9

17.6 comes after 17.5 and before 17.7

hope it helps…?

Answer:

82.6 pounds per cubic meter

Step-by-step explanation:

Answer:

80\(\leq\)20x+0.1(100)

Step-by-step explanation:

x for the number of days you are trying to find.

$20 to rent the car per day.

$0.1 for every mile driven and she wants to drive 100 miles so $0.1(100).

she cannot spend over 80 so the sign should be equal to $80 or less than.

The first 3 terms of the sequence are 21, 24 and 29

From the question, we have the following parameters that can be used in our computation:

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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The probability that exactly one roll results in a sum of 12 when rolling a pair of fair dice 24 times is 2/3, or approximately 0.6667.

To find the probability that exactly one roll results in a sum of 12 when rolling a pair of fair dice 24 times, we need to calculate the probability of a single roll resulting in a sum of 12 and then multiply it by the number of ways we can choose one roll out of the 24 rolls.

The probability of a single roll resulting in a sum of 12 can be determined by counting the favorable outcomes. In this case, there is only one favorable outcome: rolling a 6 on one die and a 6 on the other die.

Since each die has 6 sides, the total number of outcomes for rolling two dice is 6 * 6 = 36.

Therefore, the probability of a single roll resulting in a sum of 12 is 1/36.

Now, we need to consider the number of ways we can choose one roll out of the 24 rolls. This can be calculated using the combination formula:

Number of ways = 24 choose 1 = 24

Finally, we multiply the probability of a single roll resulting in a sum of 12 by the number of ways we can choose one roll:

Probability = (1/36) * 24 = 2/3

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Answer:

Step-by-step explanation:

b).

2x² - 9x - 5 = ( x - 5 )( 2x + 1 )

3x² - 15x = 3x ( x - 5 )

\(\frac{(x-5)(2x+1)}{3x(x-5)}\) = \(\frac{2x+1}{3x}\)

The solution to the given differential equation is y = C₁ * (x + 8)⁻² + C₂ * (x + 8)⁻⁷ where C₁ and C₂ are constants determined by the initial or boundary conditions.

To solve the given differential equation, (x + 8)²y" - B(x + 8)y' + 14y = 0, using Y = (X - X₀)m, follow these steps:

1. Substitute Y = (X - X₀)m into the differential equation: (X - X₀ + 8)^2m" - B(X - X₀ + 8)m' + 14m = 0.
2. Solve for m: m" - (B/((X - X₀) + 8))m' + (14/((X - X₀) + 8)²)m = 0.
3. Find the general solution for m: m = C₁\(e^(r1X)\) + C₂\(e^(r2X)\), where r₁ and r₂ are the roots of the characteristic equation, and C₁ and C₂ are constants.
4. Determine the roots of the characteristic equation: r₁ and r₂.
5. Substitute the roots into the general solution for m.
6. Finally, substitute m back into the original substitution, Y = (X - X₀)m.

y(x), will be a function involving the roots, r₁ and r₂, and constants C₁ and C₂. The explanation involves substituting Y = (X - X₀)m into the differential equation, solving for m, finding the general solution for m, determining the roots of the characteristic equation, and substituting the roots back into the original substitution to find y(x).

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Answer:

undefined

Step-by-step explanation:

Since it is a vertical line and there is no run only rise.

The head circumference of a newborn boy who marks the start of the 75th percentile is approximately 35.38 cm.

To find the head circumference of a newborn boy who marks the start of the 75th percentile, we need to first find the z-score corresponding to the 75th percentile using the standard normal distribution.

The z-score formula is

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

To find the z-score that corresponds to the 75th percentile, we need to look up the z-score associated with a cumulative area of 0.75 under the standard normal distribution curve. This value can be found using a table or calculator and is approximately 0.674.

Now we can use the formula for the z-score to solve for the head circumference of a newborn boy at the 75th percentile

z = (x - μ) / σ

0.674 = (x - 34.5) / 1.3

0.674 × 1.3 = x - 34.5

0.8762 + 34.5 = x

x = 35.3762

x ≈ 35.38 cm

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Answer: 70

90+20=110

180-110=70

I hope this is good enough:

Answer:

70

Step-by-step explanation:

Everything needs to add up to 180. So you have 90 and 20 you will add them and you’ll get 110. Since you want to find the missing measurement you will subtract 180-110 and you’ll get 70. The missing angle is 70. To check: 90+20+70=180

Answer:

5

Step-by-step explanation:

The soup mix makes 5 cups. Simply change all fractions to equivalent fractions with the same denominator. As for the property to change the order, I have no idea. Sorry.

Answer: 20 years old

Step-by-step explanation: when Zoe was six years old, Lulu would have been 12 years old since Lulu's age is twice that of Zoe's. Since Zoe is now 10 years old, Lulu would have to be 20 years old since 10 multiplied by 2 equals 20.

Answer:

b=34

Step-by-step explanation:

<a(340 corresponds to <b

Answer:

About 100 times faster

=1 x 10²

Step-by-step explanation:

Estimate using a single digit times a power of 10.

We approximate to the nearest whole number

A healthy human heart beats about 1,533,000 times in a year.

= 1.533 × 10⁶

As a single digit = 2.0 × 10⁶

A sparrow's heart beats about

241,776,000 times in a year.

= 2.41776 × 10⁸

As a single digit = 2 × 10⁸

About how many times faster does the sparrow's heart beat compared to the human heart?

We find the difference in their powers of 10

= ( 10^8 - 6)

= 10²

This means the sparrows heart beats at about

1 × 10² or a 100 times faster

Answer:

3over 5

Step-by-step explanation:

lol its that simple

Answer:

zvck zvmv

Step-by-step explanation:

To find the correct equations for the missing boxes, we need more information about the relationships between the different activities in Jake's Gems. However, based on the given context, we can make some assumptions and suggest potential equations:

Mining and Cutting activities produce diamonds, rubies, and other gems. Let's assume that the production of each gem type is represented by a variable: D (diamonds), R (rubies), and G (other gems).

Maintenance supports the Mining and Cutting activities. We can assume that the maintenance effort required for each activity is represented by the variable M (maintenance).Since the question mentions five missing boxes, we can suggest additional equations to represent relationships between these variables, such as:

Mining + Cutting = D + R + G (the sum of all gem types produced equals the total production from Mining and Cutting activities).

Maintenance = M (maintenance effort required).

The relationships between these variables might include equations like D = f(M), R = g(M), G = h(M), where f, g, and h represent some functions or formulas that relate gem production to maintenance effort.

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\( - 5(b + 1) = 8 \\ - 5b - 5 = 8 \\ - 5b = 8 + 5 \\ - 5b = 13 \\ b = \frac{ - 13}{5} \)

PLEASE GIVE BRAINLIEST

\\\///\\\///\\\///\\\///\\\///\\\///\\///\\\///\\\///\\\///\\\///\\\//\\//\\//\\//\\\///\\//\\\///\\\///\\\///\

\(\Rsh\)Let's solve this! We can do this! \(\Lsh\)

>>> First, let's multiply -5 by b and 1. Then we obtain

\(\pmb{-5b-5=8}\).

>>> Now we add 5 to both sides.

\(\pmb{-5b=13}\)

>>> And then, divide both sides by -5.

\(\pmb{b=-\dfrac{13}{5}}\)

>>> That is the value of b.

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Hope the answer - and explanation - assisted you!

Happy studies! :)

Solution : Straight line question : y= 2x-3

Straight Line:

A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.

Slope:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line

1)Point (3,3) (4,5)

slope: (5-3)/(4-3) = 2/1 = 2

Y= mx+c

y -3 = 2(x-3)

y-3= 2x-6

y= 2x-6+3

y= 2x-3

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There are 1,207,084,032,000 ways for 6 CE majors and 10 CS majors to stand next to each other in the lines.

We use permutations and combinations for solving this problem. We fix the position of CS students so that they can stand in a fixed place by

= 10! ways (i)

Now, there are 11 places left for CE students so that no two CE students stand next to each other.

6 CE students in the rest of the 11 places can sit by = 11! / (11-6)! ways (ii)

Hence, using the values of (i) and (ii), we get -

= (10! * 11!) / (11-6)!

= 1,207,084,032,000

Therefore, we have 1,207,084,032,000 ways in which the six CE majors and ten CS majors can stand in a line so that no two CE majors stand next to each other.

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Answer:

Use colon method

Step-by-step explanation:

So it is more easy

The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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Answer:

L

Step-by-step explanation: