Pls solve this question
also solve -2 1/4 - 4 5/8

Expressions shows the final price of the printer is (x - 40x)*(1.08).

Given:

A printer that costs x dollars is discounted by 40% of the original price.

There is an 8% sales tax on the final price.

= x * 40%

= x*40/100

= 0.40x

Discount 40% is subtracted from the original price.

= x - 40x

now sales tax is multiplied.

= (x - 40x)*(100%+8%)

= (x - 40x)*(108%)

= (x - 40x)*(108/100)

= (x - 40x)*(1.08)

Therefore expressions shows the final price of the printer is (x - 40x)*(1.08).

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Answer:

Eminem.

Rakim.

Nas.

Andre 3000.

Lauryn Hill.

Ghostface Killah.

Kendrick Lamar.

Lil Wayne

Step-by-step explanation:

Answer:

Logic

Step-by-step explanation:

The calculated length of the rectangle is 4 feet

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

The area of a rectangle is calculated as

Area  = Length * Width

using the above as a guide, we have the following:

x * (x + 6) = 40

Express 40 as 4 * 10

So, we have

x * (x + 6) = 4 * 10

This means that

x = 4 and x + 6 = 10

Evaluate

x = 4

Hence, the length of the rectangle is 4 feet

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Work Shown:

g(x) = -x+2

g(5) = -5+2 ... replace every x with 5

g(5) = -3

Answer:

g(5) = -3

Step-by-step explanation:

given:

\(g(x ) = - x + 2g(x) = - x + 2\)

find:

\(g(5)\)

replace x with 5

\(g(5) = - 5 + 2\)

\(g(5) = - 3\)

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

If the probability that interest rates will go up and house sales will decrease is estimated to be 0.15, the probability of an increase in interest rates and not a decrease in house sales is 0.05.

To find the probability of an increase in interest rates and not a decrease in house sales, we can use the formula for conditional probability:

P(Interest rates increase and house sales don't decrease) = P(Interest rates increase) - P(Interest rates increase and house sales decrease)

We are given that the probability of interest rates on housing loans going up in the next 6 months is 0.20, and the probability of house sales decreasing is 0.6. We are also given that the probability of interest rates going up and house sales decreasing is 0.15.

To find the probability of interest rates going up and not house sales decreasing, we subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up:

P(Interest rates increase and house sales don't decrease) = 0.20 - 0.15 = 0.05

In summary, we can use conditional probability to calculate the probability of an increase in interest rates and not a decrease in house sales.

Given the probabilities of interest rates going up and house sales decreasing, we can subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up to find the probability of interest rates going up and not house sales decreasing.

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(a) No, a triangle cannot have two obtuse angles. (b) No, a triangle cannot have two right angles.
(c) If no angle of a triangle measures more than 60°, then the triangle is an acute triangle.


(a) In a triangle, the sum of all three angles must be 180°. Since two obtuse angles would sum to more than 180°, it is not possible for a triangle to have two obtuse angles.
(b) In a triangle, the sum of all three angles must be 180°. Since two right angles would sum to 180°, it is not possible for a triangle to have two right angles.
(c) In an acute triangle, all three angles are less than 90°. If no angle of a triangle measures more than 60°, then all three angles are less than 90°, making it an acute triangle.

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Answer:

6

Step-by-step explanation:

I believe if you fallow the mathematical process of d=m/v you will get 6

The height of the block of the sugar maple from the rectangular prism is 6 cm.

The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:

V = length × width × height

From the parameters given:

\(\mathbf{Desity = \dfrac{mass}{volume}}\)

\(\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}\)

volume = 120 cm³

Using the previous equation for calculating the volume of a rectangular prism, we have:

120 cm³ = 5 cm × 4 cm × height

120 cm³ = 20 cm² × height

height = 120 cm³/20 cm²

height = 6 cm

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

Reason:

If (x^2-c)/(x-b) = x+b, then we can rearrange things into this:

x^2-c = (x-b)(x+b)  = x^2-b^2

I'm using the difference of squares rule.

Comparing terms, we see that b^2 = c.

If b is an integer, then c is a perfect square.

Of the answer choices listed, only 4 is a perfect square.

The iterated integral of 5x + 3y over the given region is 131.25.

To calculate the iterated integral of 5x + 3y over the region given by x = 0 to x = 3 and y = 0 to y = 7, we can use the

following formula:

∫∫R f(x,y) dA =\(∫a^b ∫c^d f(x,y) dy dx\)

Substituting the given values, we get:

∫0^3 ∫0^7 (5x + 3y) dy dx

Evaluating the inner integral first, we get:

\(∫0^3 (5x ×y + 3y^2/2)|0^7 dx\)

= ∫\(0^3 [(5x × 7 + 3(7^2)/2) - (5x ×0 + 3(0^2)/2)] dx\)

=\(∫0^3 (35x + 73.5) dx\)

= \([35x^2/2 + 73.5x]|0^3\)

= (157.5 + 105)/2

= 131.25

Therefore, the iterated integral of 5x + 3y over the given region is 131.25.

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Answer:

yes 1.57 is a rational number you could write it as 1 & 57/100 or 157/1000

Answer:

Answer is 46.50

Step-by-step explanation:

I look everywhere and said it was this hehe

Answer:

$10285.29

Step-by-step explanation:

The idea is to solve for the final amount when $7000 is invested and compounded

given data

principal= $7000

rate= 8%= 0.08

time =5years

We know that the expression for the final amount is

\(A = P(1 + {r)^{t}\)

A = 7000(1 + {0.08)^5

A=7000(1.08)^5

A=7000(.469328)

A= 10285.29

They have available to spend on that vacation $10285.29

A. Zero

They're parallel so they will never intersect therefore: no solutions :]

The Taylor polynomials T2(x) and T3(x) for f(x) = sin(x) centered at x = 0 are given by T2(x) = x and T3(x) = x - x^3/6.

The Taylor polynomials for a function f(x) centered at x = a are given by

Tn(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + ... + f^(n)(a)(x-a)^n/n!

where f^(n)(a) represents the nth derivative of f(x) evaluated at x = a.

For f(x) = sin(x), we have

f(0) = sin(0) = 0

f'(x) = cos(x)

f'(0) = cos(0) = 1

f''(x) = -sin(x)

f''(0) = -sin(0) = 0

f'''(x) = -cos(x)

f'''(0) = -cos(0) = -1

Using these derivatives, we can calculate the Taylor polynomials

T2(x) = f(0) + f'(0)x/1! + f''(0)x^2/2!

= 0 + x/1! + 0x^2/2!

= x

T3(x) = f(0) + f'(0)x/1! + f''(0)x^2/2! + f'''(0)x^3/3!

= 0 + x/1! + 0x^2/2! - x^3/3!

= x - x^3/6

Therefore, the Taylor polynomials T2(x) and T3(x) for f(x) = sin(x) centered at x = 0 are

T2(x) = x

T3(x) = x - x^3/6

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They would spend approximately 13.33 hours driving if they plan to cover a total distance of 800 miles at an average speed of 60mph.

To answer this question, we need to use the formula: time = distance/speed. In this case, the distance is 800 miles and the average speed is 60mph. Therefore, the time spent driving can be calculated as:
Time = 800 miles / 60 mph
Simplifying this equation, we get:
Time = 13.33 hours
So, the total time that they would spend driving is 13.33 hours. It's important to note that this is the average time it would take them if they maintained a constant speed of 60mph throughout their journey. However, if they encountered traffic, roadworks, or took any breaks during their trip, the actual time spent driving would be longer than this.
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Answer:

Phoebe spent the same as 25% of $80.

Nicholas spent less than $40.

Step-by-step explanation:

Please see the attached pictures for the full solution.

The value of C is acos(±√(1/10)). In spherical coordinates, the cone 9z^2=x^2+y^2 has the equation phi = c, where phi represents the angle between the positive z-axis and the line connecting the origin to a point on the cone.

To find c, we can use the relationship between Cartesian and spherical coordinates:

x = rho sin(phi) cos(theta)
y = rho sin(phi) sin(theta)
z = rho cos(phi)

Substituting x^2+y^2=9z^2 into the Cartesian coordinates, we get:

rho^2 sin^2(phi) cos^2(theta) + rho^2 sin^2(phi) sin^2(theta) = 9rho^2 cos^2(phi)

Simplifying this equation, we get:

tan^2(phi) = 1/9

Taking the square root of both sides, we get:

tan(phi) = 1/3

Since we know that phi = c, we can solve for c:

c = arctan(1/3)

Therefore, the equation of the cone 9z^2=x^2+y^2 in spherical coordinates is phi = arctan(1/3).

In spherical coordinates, the cone 9z^2 = x^2 + y^2 can be represented by the equation φ = c. To find the constant c, we first need to convert the given equation from Cartesian coordinates to spherical coordinates.

Recall the conversions:
x = r sin(φ) cos(θ)
y = r sin(φ) sin(θ)
z = r cos(φ)

Now, substitute these conversions into the given equation:

9(r cos(φ))^2 = (r sin(φ) cos(θ))^2 + (r sin(φ) sin(θ))^2

Simplify the equation:

9r^2 cos^2(φ) = r^2 sin^2(φ)(cos^2(θ) + sin^2(θ))

Since cos^2(θ) + sin^2(θ) = 1, the equation becomes:

9r^2 cos^2(φ) = r^2 sin^2(φ)

Divide both sides by r^2 (r ≠ 0):

9 cos^2(φ) = sin^2(φ)

Now, use the trigonometric identity sin^2(φ) + cos^2(φ) = 1 to express sin^2(φ) in terms of cos^2(φ):

sin^2(φ) = 1 - cos^2(φ)

Substitute this back into the equation:

9 cos^2(φ) = 1 - cos^2(φ)

Combine terms:

10 cos^2(φ) = 1

Now, solve for cos(φ):

cos(φ) = ±√(1/10)

Finally, to find the constant c, we can calculate the angle φ:

φ = c = acos(±√(1/10))

So the cone equation in spherical coordinates is φ = c, where c = acos(±√(1/10)).

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Answer:

747

Step-by-step explanation:

Have a great day!!

Step-by-step explanation:

the answer for this is 747

This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

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Answer:

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Step-by-step explanation:

x=2

1/2(x) + 4

1/2(2) +4

1+4 = 5

x + 6 -1/2(x) -2

2+6 -1/2(2) -2

8 - 1 -2 = 5

Hope i helped you out :)

Answer: b. 1923

Step-by-step explanation:

The approximate solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).

The solution of the equation is between x = 4 and x = 5. Now we begin by evaluating each side of the expression (f(x) = x² - 5 · x + 4, g(x) = 2 / (x - 1)) at the average of x = 4 and x = 5.

x = (4 + 5) / 2

x = 4.5

f(4.5) = 4.5² - 5 · 4.5 + 1

f(4.5) = - 5 / 4

g(4.5) = 2 / (4.5 - 1)

g(4.5) = 4 / 7

The solution of the equation is between x = 4.5 and x = 5, then we evaluate at the average:

x = (4.5 + 5) / 2

x = 4.75

f(4.75) = 4.75² - 5 · 4.75 + 1

f(4.75) = - 3 / 16

g(4.75) = 2 / (4.75 - 1)

g(4.75) = 8 / 15

The solution of the equation is between x = 4.75 and x = 5, then we evaluate at the average:

x = (4.75 + 5) / 2

x = 4.875

f(4.875) = 4.875² - 5 · 4.875 + 1

f(4.875) = 25 / 64

g(4.875) = 2 / (4.875 - 1)

g(4.875) = 16 / 31

The approximate solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).

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We can calculate the number of people suffering malnutrition in the world by using the Rule of three:

If 200 is the total population, then 28 suffer from malnutrition.

Then, if the total population is 6.9 billion people, x suffer from malnutrition:

Answer: The number of people of the world's population that suffer from malnutrition is 0.97 billion.

Answer:

m = 8

Step-by-step explanation:

\(\frac{m}{12}\) = \(\frac{10}{5+10}\)

15m = 120

m = 8

Use csc (90) = 10/m.

So, m = 10/csc(90).

m = 8.93997

Answer: m = 8

Answer:

2.35 hrs

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

Step-by-step explanation:

distance traveled = 94 miles

cruise speed = 40 mph

time taken = ?

time taken = distance/speed = 94/40 = 2.35 hours

2.35 hrs = 2 hrs + (0.35 x 60) = 2 hrs + 21 min

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

Report on Commonalities Among Three Chosen Regions

For this assignment, three regions of the world have been selected to identify commonalities among them. The chosen regions are North America, Europe, and East Asia. Through internet research, several commonalities have been identified that are shared among these regions. Below are five commonalities found:

Economic Development:

All three regions, North America, Europe, and East Asia, are characterized by significant economic development. They are home to some of the world's largest economies, such as the United States, Germany, China, and Japan. These regions exhibit high levels of industrialization, technological advancement, and trade activities. Their economies contribute significantly to global GDP and are major players in international commerce.

Technological Advancement:

Another commonality among these regions is their emphasis on technological advancement. They are known for their innovation, research and development, and technological infrastructure. Companies and industries in these regions are at the forefront of technological advancements in fields such as information technology, automotive manufacturing, aerospace, pharmaceuticals, and more.

Cultural Diversity:

North America, Europe, and East Asia are culturally diverse regions, with a rich tapestry of different ethnicities, languages, and traditions. Immigration and historical influences have contributed to the diversity seen in these regions. Each region has a unique blend of cultural practices, cuisines, art, music, and literature. This diversity creates vibrant multicultural societies and fosters an environment of cultural exchange and appreciation.

Democratic Governance:

A commonality shared among these regions is the prevalence of democratic governance systems. Many countries within these regions have democratic political systems, where citizens have the right to participate in the political process, elect representatives, and enjoy individual freedoms and rights. The principles of democracy, rule of law, and respect for human rights are important pillars in these regions.

Education and Research Excellence:

North America, Europe, and East Asia are known for their strong education systems and institutions of higher learning. These regions are home to prestigious universities, research centers, and educational initiatives that promote academic excellence. They attract students and scholars from around the world, offering a wide range of educational opportunities and contributing to advancements in various fields of study.

In conclusion, the regions of North America, Europe, and East Asia share several commonalities. These include economic development, technological advancement, cultural diversity, democratic governance, and education and research excellence. Despite their geographical and historical differences, these regions exhibit similar traits that contribute to their global significance and influence.

Answer:

For this assignment, three regions of the world have been selected to identify commonalities among them. The chosen regions are North America, Europe, and East Asia. Through internet research, several commonalities have been identified that are shared among these regions. Below are five commonalities found:

Economic Development:

All three regions, North America, Europe, and East Asia, are characterized by significant economic development. They are home to some of the world's largest economies, such as the United States, Germany, China, and Japan. These regions exhibit high levels of industrialization, technological advancement, and trade activities. Their economies contribute significantly to global GDP and are major players in international commerce.

Technological Advancement:

Another commonality among these regions is their emphasis on technological advancement. They are known for their innovation, research and development, and technological infrastructure. Companies and industries in these regions are at the forefront of technological advancements in fields such as information technology, automotive manufacturing, aerospace, pharmaceuticals, and more.

Cultural Diversity:

North America, Europe, and East Asia are culturally diverse regions, with a rich tapestry of different ethnicities, languages, and traditions. Immigration and historical influences have contributed to the diversity seen in these regions. Each region has a unique blend of cultural practices, cuisines, art, music, and literature. This diversity creates vibrant multicultural societies and fosters an environment of cultural exchange and appreciation.

Democratic Governance:

A commonality shared among these regions is the prevalence of democratic governance systems. Many countries within these regions have democratic political systems, where citizens have the right to participate in the political process, elect representatives, and enjoy individual freedoms and rights. The principles of democracy, rule of law, and respect for human rights are important pillars in these regions.

Education and Research Excellence:

North America, Europe, and East Asia are known for their strong education systems and institutions of higher learning. These regions are home to prestigious universities, research centers, and educational initiatives that promote academic excellence. They attract students and scholars from around the world, offering a wide range of educational opportunities and contributing to advancements in various fields of study.

In conclusion, the regions of North America, Europe, and East Asia share several commonalities. These include economic development, technological advancement, cultural diversity, democratic governance, and education and research excellence. Despite their geographical and historical differences, these regions exhibit similar traits that contribute to their global significance and influence.

We would need to take a sample of 36 coal samples to be 95% confident that the true average porosity is within 0.5 of the sample average.

(a) The 95% confidence interval for the true average porosity is:

CI=4.85±1.96×0.75/ 25 =(4.68,5.02)

(b) The 98% confidence interval for the true average porosity is:

CI=4.56±2.326×0.75/ 15 =(4.29,4.83)

(c) The sample size necessary to achieve the desired width of the confidence interval is:

n=( Δxz α/2​×σ​ ) 2 where:z α/2

​

 is the critical value for the desired confidence level

σ is the standard deviation

Δx is the desired width of the confidence interval

In this case, we have:

z α/2​ =1.96

σ=0.75

Δx=0.5

Therefore, the sample size necessary to achieve a 95% confidence interval of 0.5 is:

n=( 0.5x1.96×0.75​ ) 2 =36

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Question:-Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with a true standard deviation of 0.75.

(a) Compute a 95% confidence interval for the true average porosity of a certain seam if the average porosity for 25 specimens from the seam was 4.85. Round your answers to two decimal places.

(b) Compute a 98% confidence interval for the true average porosity of another seam based on 15 specimens with a sample average porosity of 4.56. Round your answers to two decimal places.

(c) How large a sample size is necessary if the width of the 95% confidence interval for the true mean porosity is to be no more than 0.5? Assume that the true standard deviation is 0.75. Round your answer up to the nearest integer.