Linear Inequality Word Problems A widget manufacturer starts their business off by spending $200 to design a new product. They plan to sell that product for $50 each. How many products will they need to sell to make a profit of no less than $200?​

Answer:

52

Step-by-step explanation:

Vertical angles are equal

<a = <B

5x -28 = 3x+4

Subtract 3x from each side

5x-3x-28 = 3x+4-3x

2x-28 = 4

Add 28 to each side

2x-28+28 = 4+28

2x= 32

Divide by 2

2x/2 = 32/2

x = 16

<A = <B = 3x+4 = 3(16)+4 = 48+4 = 52

Answer:

$7665

Explanation:

simple interest: principal * rate (%) * time (years)

Given:

principal: $3,500

rate: 7%

time: 17 years

Solve for interest received:

3,500 * 7% * 17

$4165

Total money in account:

$4165 + $3,500

$7665

Answer:

The answer is 1 9/19

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

\(x = \frac{\sqrt{a}}{ \sqrt{b}} = \sqrt{\frac{a}{b}}\\\\\)

Both sides take square

\(x^{2}= ( \sqrt{\frac{a}{b}})^{2}=\frac{a}{b}\)

Answer:99904.

Step-by-step explanation:

Find the LCM of

5

10 = 2x5

15 = 3x5

20 = 2x2x5

25 = 5x5

LCM = 2x2x3x5x5 = 300

Take the smallest 5-digit number: 10000 and divide it by 300 to get 33.33. Round it off to 34 and multiply it by 300 to get 10200. Finally add 4 to 10200 to get 10204 which is the smallest final 5-digit number.

Check: 10204/5 = 2040 as quotient and a remainder of 4. Correct.

10204/10 = 1020 as quotient and a remainder of 4. Correct.

10204/15 = 680 as quotient and a remainder of 4. Correct.

10204/20 = 510 as quotient and a remainder of 4. Correct.

10204/25 = 408 as quotient and a remainder of 4. Correct.

Answer: 10204.

To get the greatest 5-digit number take 99999 and divide it by 300 to get 333.33. Round it off to 333 and multiply it by 300 to get 99900. Finally add 4 to 99900 to get 99904 which is the final greatest 5-digit number.

Check: 99904/5 = 19980 as quotient and a remainder of 4. Correct.

99904/10 = 9990 as quotient and a remainder of 4. Correct.

99904/15 = 6660 as quotient and a remainder of 4. Correct.

99904/20 = 4995 as quotient and a remainder of 4. Correct.

99904/25 = 3996 as quotient and a remainder of 4. Correct.

Answer: 99904.

The integral for the mass of the shell becomes  ∫₀^π ∫₀^{2π} ∫₃^₅ ρ(r, θ, φ) r^2 sin φ dr dθ dφ.

To find the mass of the spherical shell, we need to integrate the density over its volume. Let's assume that the density of the shell is constant, denoted by rho.

Using spherical coordinates, the integral for the mass of the shell can be written as:

M = ∫∫∫ ρ(r, θ, φ) r^2 sin φ dr dθ dφ

where,

ρ(r, θ, φ) is the density of the shell, which is assumed to be constant,

r is the radial distance from the origin,

θ is the azimuthal angle, which measures the angle in the xy-plane from the positive x-axis,

φ is the polar angle, which measures the angle from the positive z-axis.

Since the shell is centered at the origin and has an inner radius of 3 cm and an outer radius of 5 cm, the limits of integration are:

3 ≤ r ≤ 5

0 ≤ θ ≤ 2π

0 ≤ φ ≤ π

Thus, the integral for the mass of the shell becomes:

M = ∫∫∫ ρ(r, θ, φ) r^2 sin φ dr dθ dφ

= ∫₀^π ∫₀^{2π} ∫₃^₅ ρ(r, θ, φ) r^2 sin φ dr dθ dφ

the symmetry of the shell, which means that we are integrating over the entire volume of the shell. If the shell had some symmetry, we could have reduced the domain of the integral by exploiting that symmetry.

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Answer: (x^2+20)(x-4)

Step-by-step explanation:

See attached picture

Answer:

more than one than its a and b but only one than its a

Answer:

hope this helps you out good luck

Answer:

I'll go help, i need to answer at least 25 questions in 48 hours anyways too

Answer:

ok. i will try to answer them my best

Step-by-step explanation:

thank you for free points though. may god bless you

a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.

b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.

c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.

d) The function connecting these pairs of points is not a linear function.

The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by

average slope = (y2 - y1) / (x2 - x1)

For the points (0, 1) and (2, 4), the average slope is

average slope = (4 - 1) / (2 - 0) = 3/2

For the points (-2, 1/4) and (-1, 1/2), the average slope is

average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4

The slope or rate of change is not constant between these two pairs of points, since the average slopes are different. Therefore, the function connecting these pairs of points is not a linear function.

Note that a linear function has a constant slope, so if the slope is changing, then the function cannot be linear.

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the Earth were closer to the Sun and had a shorter orbital period, the Sun's daily motion would increase to about 1.72° per day with respect to the distant stars.

The rate at which the Sun moves across the sky with respect to distant stars is determined by the Earth's orbital motion around the Sun. Currently, with a year lasting approximately 365.25 days, the Sun appears to move about 1° per day. This is because the Earth completes one full rotation around the Sun in 365.25 days, resulting in a daily average motion of 1°.

If the Earth were closer to the Sun and a year lasted 290 days, the daily motion of the Sun would change. To calculate this, we can use the concept of proportional reasoning. If the Earth completes one full rotation around the Sun in 290 days, the Sun would appear to move approximately 360° in that time. Dividing 360° by 290 days gives us approximately 1.72° per day. Therefore, if the Earth had a shorter orbital period and a year lasted 290 days, the Sun would move about 1.72° per day with respect to the distant stars.

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A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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The probability of a song being played on a single day is 0.5. We need to find the probability of the song being played on 2 days out of 4 days. This can be solved using the binomial probability formula, which is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful events, p is the probability of success, and (n choose k) is the binomial coefficient. Substituting the values, we get P(X=2) = (4 choose 2) * 0.5^2 * 0.5^2 = 0.375. Therefore, the probability that this song will be played on 2 days out of 4 days is 0.375.

The problem can be solved using the binomial probability formula because we are interested in finding the probability of a particular event (the song being played) occurring a specific number of times (2 out of 4 days) in a fixed number of trials (4 days).

We use the binomial probability formula P(X=k) = (n choose k) * p^k * (1-p)^(n-k) to calculate the probability of k successful events occurring in n trials with a probability of success p.

In this case, n=4, k=2, p=0.5. Therefore, P(X=2) = (4 choose 2) * 0.5^2 * 0.5^2 = 0.375.

The probability that a particular song will be played on 2 days out of 4 days at radio station wmzh is 0.375 or 37.5%.

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Answer:

The HCF of these polynomials is (p+2q).

Step-by-step explanation:

First of all, we need to factorize each polynomial:

a) \(p^{2}+4pq+4q^{2}\)

\(=p^{2}+4pq+(2q)^{2}\)

\(=(p+2q)^{2}\)

b) \(p^{4}+8pq^{3}\)  

\(=p(p^{3}+8q^{3})\)

\(=p(p^{3}+(2q)^{3})\)

\(=p(p+2q)(p^{2}-2pq+(2q)^{2})\)

c) \(3p^{4}-10p^{2}q^{2}+p^{3}q\)

\(=p^{2}(3p^{2}-10q^{2}+pq)\)

\(=p^{2}(3p-5q)(p+2q)\)

Therefore, the HCF of these polynomials is (p+2q).

I hope it helps you!

To estimate the difference between proportions, sample around 3355 stalks from each section of the field.

In order to estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, we need to determine the sample size required to achieve a desired level of precision and confidence.

To estimate the required sample size, we can use the formula for sample size determination for estimating the difference between two proportions. This formula is based on the assumption of a normal distribution and requires the proportions from each section.

Let's denote the proportion of stalks damaged in the middle section as p1 and the proportion of stalks damaged in the outer perimeter as p2. We want to estimate the difference between these proportions to within 0.02 (±0.02) with 90% confidence.

To calculate the required sample size, we need to make an assumption about the value of p1 and p2. If we don't have any prior knowledge or estimate, we can use a conservative estimate of p1 = p2 = 0.5, which maximizes the required sample size.

Using this conservative estimate, we can apply the formula for sample size determination:

n = (Z * sqrt(p1 * (1 - p1) +\(p2 * (1 - p2)))^2 / d^2\)

where:

Plugging in the values, we get:

n = (1.645 * sqrt(0.5 * (1 - 0.5) + 0.5 *\((1 - 0.5)))^2 / 0.02^2\)

n = (1.645 * sqrt\((0.25 + 0.25))^2\)/ 0.0004

n = (1.645 * sqrt\((0.5))^2\) / 0.0004

n =\((1.645 * 0.707)^2\) / 0.0004

n =\(1.158^2\) / 0.0004

n = 1.342 / 0.0004

n ≈ 3355

Therefore, the required sample size from each section of the field would be approximately 3355 stalks, in order to estimate the true difference between proportions of stalks damaged in the two sections to within 0.02 with 90% confidence.

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To estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, approximately 665 stalks from each section should be sampled.

In order to estimate the true difference between proportions of stalks damaged in the middle and outer perimeter sections of the sugarcane field, a representative sample needs to be taken from each section. The goal is to estimate this difference within a certain level of precision and confidence.

To determine the sample size needed, we consider the desired precision and confidence level. The requirement is to estimate the true difference between proportions of stalks damaged within 0.02 (i.e., within 2%) with 90% confidence.

To calculate the sample size, we use the formula for estimating the sample size needed for comparing proportions in two independent groups. Since an equal number of stalks will be sampled from each section, the total sample size required will be twice the sample size needed for a single section.

The formula to estimate the sample size is given by:

n = [(Z * sqrt(p * (1 - p)) / d)^2] * 2

Where:

n is the required sample size per section

Z is the Z-value corresponding to the desired confidence level (for 90% confidence, Z = 1.645)

p is the estimated proportion of stalks damaged in the section (unknown, but assumed to be around 0.5 for a conservative estimate)

d is the desired precision (0.02)

Plugging in the values, we can calculate the sample size needed for each section.

n = [(1.645 * sqrt(0.5 * (1 - 0.5)) / 0.02)^2] * 2

n ≈ 664.86

Rounding up, we arrive at approximately 665 stalks that should be sampled from each section.

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Answer:

i think its b

Step-by-step explanation:

Answer:

Answer:

(5, 20)  

Step-by-step explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

   = (40-0)/(10-0)

   = 40/10

   =4

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points  by substituting into the equation

40, 10)     10 = 4*40   10 =160  no

(–5, –10)    -10 = 4*-5    10 = -20   no

(5, 20)       20 = 4*5    20 = 20  yes

(–10, –20)    -20 = 4*-10    -20 = -40   no

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

Answer

c

Step-by-step explanation:

egde2020

The measure of angle a is 30° , angle b is 60° and angle c is 105°  calculated from the properties of angles and of triangle.

When two straight lines intersect each other at some angle, say line AB intersect line CD, then the opposite angles formed by the two lines are called vertically opposite angles. A pair of vertically opposite angles are equal to each other.

Angle a is formed at the intersection of the two straight lines, say AB and CD. The angle opposite to angle is 30°.

Thus from the definition of vertically opposite angles we get,

Angle a = 30° , since pair of vertically opposite angles are equal to each other.

In a right angle triangle one of three angles is 90° and the other two angles are acute angles. The sum of all the angles of a triangle is 180°.

Say  ΔMNO is a right angle triangle where angle a is one of the other two acute angles (where angle a = 30°).

The third angle (acute) is b.

Thus from the sum of triangle we get,

Angle a + Angle b + 90° = 180°

⇒ 30° + Angle b + 90° = 180°

⇒ Angle b = 60°

Here angle c is an angle labelled in a triangle (on the left of the previous triangle, say ΔMNO).

Two angles are said to be adjacent angles when they have a common vertex and side. The pair of adjacent angles sum to 180° , that is they are supplementary angles.

The adjacent angle of Angle c is 75°.

Thus, Angle c + 75° = 180°

⇒ Angle c = 105°

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Answer:

25 chapter books

Step-by-step explanation:

117 - (23×4)

[23×4=92]

.°. 117 - 92 = 25

Step-by-step explanation:

Total Shelf Capacity = Capacity per shelf x Number of Shelves

= 23 x 4

= 92

Number of new books to be fit in = 117

Amount of books Overflow = Number of books to be fit in - Total Shelf Capacity

= 117 - 92

= 25

Answer

1 + 32 + 243 + 1024 + .. + n5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

no it does not form a right triangle. 

a+b+c = 250

1002 + 502 does not equal 1002

nor 1002 + 1002  does not equal 502

so therefore the sides are 100, 100, and 50 but these do not make a right triangle

To calculate the derivative of the function h(x) = √(√(e^(2x) + e^2)), we can apply the chain rule and the power rule of differentiation. Let's break down the process step by step.

First, we can rewrite the function h(x) as h(x) = (e^(2x) + e^2)^(1/4)^(1/2). Now, applying the chain rule, we differentiate the outer function with respect to the inner function, and then multiply it by the derivative of the inner function. The derivative of the inner function, e^(2x) + e^2, with respect to x is 2e^(2x).

Putting it all together, the derivative of h(x) is:

h'(x) = (1/2) * (e^(2x) + e^2)^(-3/4) * 2e^(2x)

     = e^(2x) * (e^(2x) + e^2)^(-3/4).

Thus, the derivative of h(x) is e^(2x) times the quantity (e^(2x) + e^2)^(-3/4).

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Answer:

Step-by-step explanation

First divide 29.6 by 8.  Your answer will be 3.7.

The y intercept of the line passing through the points (12,-2) and slope -1/6 is  0  .

In the question ,

it is given that ,

the slope of the line is -1/6 ,

the line passes through the points (12 , -2)

we know that the equation of the line is written as

y = mx + c

where, "m" is the slope

and c is the y intercept .

Since the line passes through point (12,-2) , it should satisfy the equation of the line , that is

-2 = (-1/6)*12 + c

-2 = -2 + c

c = -2 + 2

c = 0

So , y intercept is 0 .

Therefore , The y intercept of the line passing through the points (12,-2) and slope -1/6 is  0  .

The given question is incomplete , the complete question is

Find the y intercept of the line passing through (12,-2) and slope = -1/6 ?

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Answer: 0.0061

Step-by-step explanation:

Probability that a chip is defective and made in Japan can be calculated by multiplying the probability of the manufacturer buying from Japan and the probability of Japanese chips being defective:

Probability of buying from Japan : 36%

Probability of Japanese chips being defective : 1.7%

Probability of chip is defective and made in Japan = 36% * 1.7%

= 0.0061

Answer:

1.75 hours :)

Step-by-step explanation:

servings = 6

molds = 113

package = 8

servings make = 113÷6=18.83