help me plss and with problem solving ​

Answer:

Look at explanation.

Step-by-step explanation:

The equation y = 15x + 15 is using the equation y = mx+b. m, or in this case 15, represents the slope of the equation. b, or in this case 15, represents the y-intercept.

Answer:240√3cm³

Step-by-step explanation: The base is a regular hexagon. We can divide the base into 6 equilateral triangles.

Each equilateral triangle has side a=4cm. Hence the area of the base is B⇒ 6×√3÷4×4² ⇒ 24√3

This implies that V = B×h = 24√3 × 10 = 240√3cm³

Answer:

Step-by-step explanation:

(a) To find the linear cost function C(x), we need to consider the fixed cost and the marginal cost. The fixed cost is $100, and the marginal cost is $8 per pair of earrings.

The linear cost function can be represented as C(x) = mx + b, where m is the slope (marginal cost) and b is the y-intercept (fixed cost).

In this case, the slope (m) is $8, and the y-intercept (b) is $100. Therefore, the linear cost function is:

C(x) = 8x + 100.

(b) The average cost function (AC) can be found by dividing the total cost (C(x)) by the number of units produced (x):

AC(x) = C(x) / x.

Substituting the linear cost function C(x) = 8x + 100, we have:

AC(x) = (8x + 100) / x.

(c) To find C(5), we substitute x = 5 into the linear cost function:

C(5) = 8(5) + 100

= 40 + 100

= 140.

Interpretation: C(5) = 140 means that when the artist produces 5 pairs of earrings, the total cost (including fixed and variable costs) is $140.

(d) To find C(50), we substitute x = 50 into the linear cost function:

C(50) = 8(50) + 100

= 400 + 100

= 500.

Interpretation: C(50) = 500 means that when the artist produces 50 pairs of earrings, the total cost (including fixed and variable costs) is $500.

(e) The horizontal asymptote of C(x) represents the cost as the number of units produced becomes very large. In this case, the marginal cost is constant at $8 per pair of earrings, indicating that as the number of units produced increases, the cost per unit remains the same.

Therefore, the horizontal asymptote of C(x) is $8, indicating that the average cost per pair of earrings approaches $8 as the number of units produced increases indefinitely.

In practical terms, this means that for every additional pair of earrings produced beyond a certain point, the average cost will stabilize and remain around $8, regardless of the total number of earrings produced.

Answer:

Step-by-step explanation:

Formula for Fahrenheit

If C = 35°

Then, by using the formula, we get:

Answer:

A B C D F

Step-by-step explanation:

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Answer:

It could be 0, is the question multiple choice?

a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)

Answer: -1/2

Step-by-step explanation: To solve this problem, we can use the properties of logarithms to isolate the variable x on one side of the equation. The properties of logarithms tell us that the logarithm of a product is the sum of the logarithms of the factors, and that the logarithm of a power is the exponent times the logarithm of the base.

If log₂(4x + 6) = 4, we can rewrite the left side of the equation as follows: log₂(4x + 6) = log₂(2^4 * (2x + 3))

Then, using the property of logarithms that the logarithm of a product is the sum of the logarithms of the factors, we can simplify the equation as follows: log₂(4x + 6) = 4 + log₂(2x + 3)

Now, we can use the property of logarithms that the logarithm of a power is the exponent times the logarithm of the base to simplify the equation even further: log₂(4x + 6) = 4 + 1 * log₂(2x + 3)

Since the logarithm of a power is the exponent times the logarithm of the base, this means that the logarithm of a number is the logarithm of that number divided by the logarithm of the base. Therefore, we can divide both sides of the equation by log₂ to isolate the variable x on one side of the equation:

log₂(4x + 6) / log₂ = 4 + 1 * log₂(2x + 3) / log₂

(4x + 6) / 1 = 4 + (2x + 3) / 1

4x + 6 = 4 + 2x + 3

4x + 6 = 2x + 7

2x = -1

x = -1/2

Therefore, if log₂(4x + 6) = 4, then x = -1/2.

Answer: Find the answer in the attachment

Step-by-step explanation:

The volume constrained both by the cone and the sphere is \(21.905\pi\) cubic units.

The volume of a solid in cylindrical coordinates (\(V\)) can be determined by the following triple integral:

\(V = \iiint dz\,r\,dr\,d\theta\) (1)

The solid is constrained by the following equations in cylindrical coordinates:

Sphere

\(r^{2}+z^{2} = 32\) (2)

Cone

\(z = r\) (3)

The integration limits can be identified by using the following intervals:

\(z \in [0, +\sqrt{32-4^{2}}]\), \(r \in [0,4]\), \(\theta \in [0,2\pi]\)

And the triple integral has the following form:

\(V = \int\limits_{0}^{2\pi}\int\limits_{0}^{4}\int\limits_{0}^{+\sqrt{32-r^{2}}} dz\,r\,dr\,d\theta\) (4)

Now we proceed to integrate the expression thrice:

\(V = \int\limits_{0}^{2\pi}\int\limits_{0}^{4}\sqrt{32-r^{2}}\,r\,dr\,d\theta = 10.952\int\limits_{0}^{2\pi}\,d\theta = 21.905\pi\)

The volume constrained both by the cone and the sphere is \(21.905\pi\) cubic units.

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Answer:

~9071

Step-by-step explanation:

A culture started with 5,000 bacteria.

After 7  hours, it grew to 6,500 bacteria.

=> The number of bacteria that grew after 7 hours: 6500 - 5000 = 1500

=> The number of bacteria that will grow after 19 hours: 1500 x 19/7 = ~4071

=> The number of bacteria that will present after 19 hours:

N  = 5000 + 4071 = ~9071

Hope this helps!

Answer:

10,200

Step-by-step explanation:

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6500\\ P=\textit{original amount deposited}\\ r=rate\to 4.75\%\to \frac{4.75}{100}\dotfill &0.0475\\ t=years\dotfill &16 \end{cases} \\\\\\ 6500=Pe^{0.0475\cdot 16} \implies \cfrac{6500}{e^{0.0475\cdot 16}}=P\implies 3039.83\approx P\)

Answer:

y + 1 = 8 (x + 7)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

So replace the y1 with the y point, and the x1 with the x point

y - (-1) = m (x - (-7) )

then replace the m with the slope

y - (-1) = 8 (x - (-7) )

now solve

y + 1 = 8 (x + 7)

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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for the given scenario the distribution is applicable, (a) negative binomial (b) binomial (c) normal (d) exponential (e) Poisson (f) uniform, (g) geometric.

The waiting process is frequently a part of geometric, negative binomial, and exponential random variables; in these cases, the waiting process is continuous until something occurs, rather than a count of trials. (Exponential). Large numbers of independent quantities that are averaged and summed typically have distributions that are close to normal. For observed counts, there are two models: Poisson and binomial. For binomial, there is a predetermined number of trials, leading to a clearly defined maximum count; for Poisson, there is no clearly defined maximum potential count. When there is no evident preference for one interval of distance or time over another such equal-length interval, the distribution is continuous.

We have to identify the best described as binomial, geometric, negative binomial, Poisson, uniform distribution and so on.

(a) X is the sum of the numbers obtained by rolling a die 500 times.

in that case negative binomial distribution suitable choice.

(b)  X is the number, out of the next 15 customers at a clothing store, who are women. the binomial is the best distribution for this condition.

(c) X is the number of murders committed in a city during a week.

 normal distribution.

(d) X is the time of day (measured in hours after midnight) that a meteor strikes Earth.

exponential distribution.

(e)  X is the amount of time that it will take until a call center receives a phone call

Poission distribution.

(f) X is the number of times we drive through an intersection before getting one red light. uniform distribution.

(g)X is the average GPA of 60 randomly chosen UC San Diego students.

 geometric distribution.

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Length oh two equal sides: 1 16/45 cm

Third side: 2 31/45 cm

length of two equal sides is x

\(\text{Perimeter} = x + x + \huge \text( x + 1\dfrac{1}{3}\huge \text) = 3x + 1\dfrac{1}{3} = 5\dfrac{2}{5}\)

\(3x = 5\dfrac{2}{5} - 1\dfrac{1}{3} = \dfrac{27}{5} - \dfrac{4}{3} = \dfrac{61}{15}\)

\(x = \dfrac{61}{15}=\boxed{\bold{1\dfrac{16}{45}}}\)

\(\text{Third side} = \dfrac{61}{45} + \dfrac{4}{3} =\dfrac{121}{45} =\boxed{\bold{2\dfrac{31}{45}}}\)

If the initial velocity is 75 feet per second, it will take approximately 5.125 seconds for the ball to hit the ground.

The given formula h= -16t²+vt+s represents the height (h) of an object thrown vertically in the air at time (t), with initial velocity (v) and initial height (s). In this case, we are given that the initial height of the softball is 4 feet and the initial velocity is 75 feet per second.

We want to find out how long it will take for the ball to hit the ground, which means we want to find the time (t) when the height (h) is 0.

Substituting the given values into the formula, we get:

0 = -16t² + 75t + 4

This is a quadratic equation in standard form, which we can solve using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

Where a=-16, b=75, and c=4. Substituting these values into the formula, we get:

t = (-75 ± √(75² - 4(-16)(4))) / 2(-16)

t = (-75 ± √(5625 + 256)) / (-32)

t = (-75 ± √(5881)) / (-32)

We can simplify the expression under the square root as follows:

√(5881) = √(49121) = 711 = 77

So we have:

t = (-75 ± 77) / (-32)

Simplifying further, we get two possible solutions:

t = 0.5 seconds or t = 5.125 seconds

Since the softball player hits the ball when it is 4 feet above the ground, we can disregard the solution t=0.5 seconds (which corresponds to when the ball is at its maximum height) and conclude that it will take approximately 5.125 seconds for the ball to hit the ground.

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1. Let us find the area of the sector:

2. The area of the triangle would be:

3. Subtracting the area of the triangle from the area of the sector, we have:

106.814 cm^2 - 71.726 cm^2 = 35.088 cm^2

The answer is 35.088 cm^2

The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer: I got 50x+$75 but I’m not too sure for the last step

Step-by-step explanation:

Answer:

y=50x+75

Step-by-step explanation:

y=125=225-125 Divide 3-1 (x-1)

y-125=50(x-1)

y=50x-50+125

y=50x+75

Answer:

Step-by-step explanation:

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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First, let's solve the inequality for m:

Now, to graph this inequality, first let's graph the point m = -10 in the number line.

Then, since the symbol of the inequality is "greater than", the solution is to the right of m = -10, and this point is not included in the solution, so we use an open point (not filled point).

So the graph of this inequality is:

Answer:

3

Step-by-step explanation:

see image

Answer:

5 and 3 is vertical. 4 and 6 are vertical. 2 and 1 are supplementary angles.

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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Let "x" represent the age of Brian.

Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"

Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"

Sarah has half the age of Brian's, we can symbolize her age as "x/2"

Frank ans Sarah's ages differ by 40 years, we can symbolize this as:

Solve the term is parenthesis

x=24 years

Andrew's age is

Andrew is 26 years old

126/3 = 42

42*5 = 210

Mr. Peterson can grade 210 tests in 5 hours.

Answer:

210

Step-by-step explanation:

126 tests in 3 hours

x. in 1 hour

126=3x => x= 126:3=42 tests in 3 hours

in 5 hours=> 5°42= 210 tests.