i came back home now....
A worker is getting a 4% raise. His current salary is $40,361. How much will his raise be?
We need to calculate the 4%
\(40361\cdot0.04=1614.44\)The raise will be $1614.44
HELP!!!
Find the Area of a Rectengle with the base of 3x+1 in and a height of 2x-3 in.
A.5x^2-2 in^2
B.6x^2+7x-2 in^2
C.10x-4 in
D.6x^2-7x-3 in^2
The area of a rectangle with base of 3x+1 in and a height of 2x-3 in is given as follows:
D. A = 6x² - 7x - 3 in².
How to obtain the area of a rectangle?The area of a rectangle of length l and width w is given by the multiplication of dimensions, as follows:
A = lw.
The dimensions for this problem are given as follows:
w = 3x + 1.l = 2x - 3.Hence the expression for the area of the rectangle is given as follows:
A = (3x + 1)(2x - 3)
A = 6x² - 9x + 2x - 3
A = 6x² - 7x - 3 in².
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A cereal company wants to use the most efficient packaging for their new product. They are considering a cylindrical-shaped box and a cubeshaped box. Compare the ratios of the volume to the surface area of the containers to determine which packaging will be more efficient.
a. How can you measure the cereal box's efficiency?
To measure the cereal box's efficiency, we can compare the ratios of the volume to the surface area of the cylindrical-shaped box and the cube-shaped box.
The ratio of volume to surface area is an indicator of how efficiently space is utilized within the packaging.
To calculate the ratio of volume to surface area for each shape, we need to know the formulas for calculating the volume and surface area of each shape..
For the cylindrical-shaped box:
- Volume (V) = πr²h, where r is the radius of the circular base and h is the height of the cylinder.
- Surface Area (SA) = 2πrh + 2πr², which includes the curved surface area and the two circular base areas.
For the cube-shaped box:
- Volume (V) = s³, where s is the length of the side of the cube.
- Surface Area (SA) = 6s², which includes all six faces of the cube.
Once we have the formulas, we can calculate the ratios by dividing the volume by the surface area for each shape:
- Ratio for cylindrical-shaped box: V/SA = (πr²h) / (2πrh + 2πr²)
- Ratio for cube-shaped box: V/SA = (s³) / (6s)
By comparing these ratios, we can determine which packaging option is more efficient.
The packaging with a higher ratio of volume to surface area will be more efficient as it maximizes the amount of product that can be stored relative to the amount of packaging material used.
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Measuring the cereal box's efficiency involves comparing the volume-to-surface area ratios of the cylindrical and cube-shaped packaging options. The packaging with the higher ratio is considered more efficient as it allows for more product to be stored with less material.
To measure the efficiency of a cereal box's packaging, we can compare the ratios of the volume to the surface area of the containers. The packaging that has a higher volume-to-surface area ratio would be considered more efficient.
For a cylindrical-shaped box, the formula for volume is V = πr²h, where r is the radius and h is the height. The formula for surface area is A = 2πrh + πr². The ratio of volume to surface area is V/A = (πr²h) / (2πrh + πr²).
For a cube-shaped box, the formula for volume is V = s³, where s is the length of each side. The formula for surface area is A = 6s². The ratio of volume to surface area is V/A = (s³) / (6s²).
By comparing these ratios, we can determine which packaging is more efficient. A higher ratio indicates that more product can be stored with less packaging material, making it more efficient. We can calculate the ratios for both packaging options using specific dimensions, such as a radius of 5 cm for the cylindrical box and a side length of 8 cm for the cube.
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please help its urgentt
At a local theater, 2/3 of the seats are located on the main floor. The remaining seats are located in the balcony. There are 600 seats on the main floor.
How many total seats are in the theater?
For an upcoming show, 4/5 of the floor seats have been sold and 1/2 of the balcony seats have been sold. What overall fraction of the seats in the whole theater have been sold?
Overall fraction of sold seats is 0.63333...
How to find the total number of seats in the theaterFirst we use the fact that 2/3 of the seats are located on the main floor and the number of seats on the main floor is 600, so the total number of seats can be calculated as follows:
Total number of seats = 600 / (2/3) = 900 seats
Next, we can find the number of seats in the balcony:
Balcony seats = Total number of seats - Main floor seats = 900 - 600 = 300 seats
Next, we can find the number of sold floor seats:
Sold floor seats = 4/5 * 600 = 480 seats
And the number of sold balcony seats:
Sold balcony seats = 1/2 * 300 = 150 seats
Finally, to find the overall fraction of sold seats in the theater, we add the number of sold floor seats and the number of sold balcony seats and divide by the total number of seats:
Overall fraction of sold seats = (480 + 150) / 900 = 0.63333... (rounded to the nearest hundredth)
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help me pleaseee !! i don’t have long
A deck of 50 cards for a math game has 9 red cards, 13 blue cards, 18 green cards, and 10 yellow cards. What is the probability that a card randomly selected from the deck will be a blue card?
Answer:
13/50 or 26%
Step-by-step explanation:
there are 13 blue cards out of 50 so 13/50 or 26%
g 5. Measurements of the length in centimeters of a sample of 29 fish yielded an average length of 16.82 and variance 34.9. Determine the size of a new sample so that the true mean length is estimated with the margin of error of 0.5 centimeters with 95% confidence.
A new sample size of at least 537 fish to estimate the true mean length with a margin of error of 0.5 centimeters and 95% confidence.
To determine the size of a new sample so that the true mean length is estimated with a margin of error of 0.5 centimeters with 95% confidence, we need to find the standard error of the mean and use it in the formula for the margin of error.
The formula for the margin of error is: ME = z * (σ/√n)
where z is the z-score corresponding to the desired confidence level, σ is the standard deviation of the population, and n is the sample size.
We can estimate the standard deviation of the population using the sample variance, which is given as 34.9.
The standard deviation is the square root of the variance, so σ = √34.9
= 5.91.
To find the standard error of the mean, we divide the standard deviation by the square root of the sample size:
SEM = σ/√n
= 5.91/√n We want the margin of error to be 0.5 centimeters, so we can set up the equation:
0.5 = z * (5.91/√n)
To solve for n, we need to know the value of z for a 95% confidence level.
This corresponds to a z-score of 1.96. Substituting this into the equation gives: 0.5 = 1.96 * (5.91/√n)
Simplifying and solving for n gives: √n = 1.96 * (5.91/0.5) √n
n =(23.18)
n = 537
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What is 4x^3 over 5 to the power of 2
Answer:
what does ^3 mean i fg *i am going to edit my answer
Step-by-step explanation:
I really need help with this problem please help!!!
Answer:
Option C
Step-by-step explanation:
\(( { - 2m}^{3} {p}^{2} ) {}^{4} \)
\( {( { - 2m}^{3}) }^{4} \times ( { {p}^{2} )}^{4} \)
\( {16m}^{12} \times {p}^{8} \)
Answer:
\( {( - 2 {m}^{3} {p}^{2}) }^{4} \\ = { (- 2)}^{4} { {m}^{3} }^{4} { {p}^{2} }^{4} \\ = 16 \times {m}^{12} {p}^{8} \\ c \: is \: ur \: answer \: \\ thank \: you\)
What's the circumference of a circle with a diameter of 18 inches? Use 3.14 for I. T What's the circumference of a circle with a diameter of 18 inches ? Use 3.14 for I. T
Answer:
56.52 inches
Step-by-step explanation:
pi is the ratio of the circumference to the diameter so you can simply multiply the diameter by pi to get the circumference which is 3.14 * 18 = 56.52
Can someone please help me with this question
m11=54°
m8=117°
m7=63°
Step-by-step explanation:
a) m2=m12 (corresponding angles)
m12=126°
180=m12+m11 (supplementary angles equal 180)
180=126+m11
m11=54°
b) m14=m8. (corresponding angles)
m8=117°
C) m7=180-m8 (supplementary angles equal 180)
m7=180-117
m7=63°
Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint. Let y represent the area (in square meters) left to paint after x hours.
Slope and a point that is not an intercept is the information about the graph of the relationship is given.
The Painting rate = 8 m²/h
Room area left to paint after 3 hours = 28 square meters . Let y be the area left to paint after x hours in square meters. To describe a point on a graph, we need a corresponding (x,y) pair. In our case , we need information about the rate of change of the relationship between the area left to paint and after the hours. Painting speed of Hiro is 8 square meters per hour. So, the corresponding slope is 8 or equation , Y = 8x --(1)
Y = 28 square meters, substituting this value into the above formula 28 = 8X
=> X = 7/2
which is the point (7/2, 28 ) and not an intercept.
In other words, the point that is not the intersection with the slope.
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Complete question:
Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint. Let y represent the area (in square meters) left to paint after x hours.
Which of the following information about the graph of the relationship is given?
a)Slope and x-intercept
b) Slope and y-intercept
c)X-intercept and y-intercept
d) Y-intercept and a point that is not an intercept
e)Two points that are not intercepts
f)Slope and a point that is not an intercept
the midterm exam scores obtained by boys and girls in a class are listed in the table below: what does the circled section represent?
12 boys scored 8 points in the exam.
It is given that the table shows the midterm exam results for boys and girls in a class.
As we can see clearly in the table in the first column we have the number of boys, in the second column we have their exam score and in the last column, we have number of the girls.
As we can see 12 is encircled in the first column and in the same row and second column there is 8 present which means 12 boys scored 8 points in the exam.
Therefore, 12 boys scored 8 points in the exam.
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Given question is incomplete, the complete question is given below:
the midterm exam scores obtained by boys and girls in a class are listed in the table below:
what does the circled section represent?
Solve the math problem
Answer:
The length of the unknown leg is 36 ft.Step-by-step explanation:
We can solve this with the help of Pythagoras theorem. Let's solve it!
=> 50² = 35² + h²=> 2500 = 1225 + h²=> 1275 = h²=> h = √1275=> h = 36 (Rounded)Hence, the length of the unknown leg is 36 ft.
Hoped this helped.
\(BrainiacUser1357\)
asuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametricaly opposite a woman
There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.
In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.
Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.
To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.
So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.
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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?
Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.
Complete the statements to represent the change in the amount of money that
Noah's mother has.
Click the arrows to choose an answer from each menu.
The change in the amount of money that Noah's mother
has can be represented by the
expression Choose... The expression can be simplified to Choose... which
shows that Noah still owes Choose... to his mother.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Amount Noah borrowed from his mother = $17
Amount paid = $8
Change in the amount of money Noah's mother has :
Let initial amount her mother has = x
Hence, the amount she has after Noah paid $8 to her will be :
Initial amount - amount borrowed + amount paid
= x - $17 + $8.
The simplified amount = x - $9
The amount Noah still owes :
Total amount owed - amount paid
$17 - $8 = $9
The change in the amount of money that Noah's mother will be $ 9.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.
Then the amount owed will be given as the difference between the initial amount and paid amount.
→ $ 17 - $ 8
→ $ 9
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Name the SI Units for length, mass, time, current, amount of substance, temperature and luminous intensity. Also give their symbols. Also, what are angstroms?
The SI units for the quantities you mentioned are:
1. Length: The SI unit for length is the meter (m).
2. Mass: The SI unit for mass is the kilogram (kg).
3. Time: The SI unit for time is the second (s).
4. Electric current: The SI unit for electric current is the ampere (A).
5. Amount of substance: The SI unit for the amount of substance is the mole (mol).
6. Temperature: The SI unit for temperature is the kelvin (K).
7. Luminous intensity: The SI unit for luminous intensity is the candela (cd). An angstrom (symbol: Å) is a unit of length equal to 10^(-10) meters or 0.1 nanometers. It is often used to express the sizes of atoms and molecules.
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I do not know which formula to use however, i think its the top/green one
Rashawn bought a CD that cost $19.99 and paid $21.56, including sales tax.What was the rate of the sales tax
Answer:
It's the first one.
Step-by-step explanation:
Using the formula, Total Cost = Purchase Price + Sales Tax,
Let x be the sales tax
$21.56 = $19.99 + x
At this point, it's very easy to do this. To find x, you subtract $19.99 from the total cost or $21.56.
$21.56 - $19.99 = $1.57 hence the sales tax is $1.57.
How can we check our answer?
If you aren't sure if you are correct, just add the purchase price with the sales tax.
$19.99 + $1.57 = x
$19.99 +$1.57 = $21.56
It is the same as the Total Cost so $1.57 is your correct answer.
It asks for the rate, not the sales tax. Continuing with this, to find the rate, you do Sales Tax/Purchase Price = Rate of Sales Tax/100%
1.57/19.99 = x/100%
Cross multiply: 19.99*x = 1.57*100
19.99*x = 157
Then, do
19.99*x/19.99 = 157/19.99 which is equal to 7.85392696%, round that to 7.85%
So the rate of the sales tax is 7.85%
Help!!! Which of the following best describes abc?
Answer:
Inscribed Angle (A)
Step-by-step explanation:
in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
Write an equation for 37.
Answer:
Can you please explain more about what do you mean about write a equation for 37.
Step-by-step explanation:
If a camera lens is randomly selected from the general population of all camera lenses, what is the probability that it was made by the greens manufacturing company, given that it is defective? a. 0.24 b. 0.60 c. 0.71 d. 0.83
If a camera lens is randomly selected from the general population of all camera lenses, the probability that it was made by the greens manufacturing company, given that it is defective is 0.24.
Bayes' theorem is the formula for calculating probability of one event in condition to another event already given. It is the formula that connects probability of one event given another to its vice versa.
The formula for Bayes' theorem:
\(P(A|B) = \frac{P(B|A)*P(A)}{P(B)}\)
Let A be the event that camera lens were made by Greens.
Let B be the event that the camera is defective.
Using the data below,
P(A) = 0.6
P(B) = 0.05 + 0.1+0.06 = 0.21
P(B|A).P(A) = P(B∩A) = Probability that camera lens are defective and made by green = 0.05
P(A|B)=P(B∩A)/P(B) = \(\frac{0.05}{0.21} = 0.236 = 0.24\)
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Solve the equation for all values of x by completing the square.
Answer: The answer is 5.6+1/2= 6.1 squared.
Step-by-step explanation: Please give Brainliest.
Hope this helps!!!!
I will answer more.
In a class of 140 students, 3\5 of them are girls. how many girls are in the class?
Answer:
84
Step-by-step explanation:
3/5 of 140
=>3/5 x 140
=>3 x 28
=>84
10² - (-10)² - (-10)²
Answer:
-100 (10*10)- (-10*-10) - (10*10)
Step-by-step explanation:
Please help me with this. When dividing fractions, the ________ term becomes the reciprocal. A. Second B. First C. Neither D. Both
Answer:
The second term becomes the reciprocal and then you multiply the first term by the second term
Answer:
A. second
Step-by-step explanation:
When dividing fractions, we always take the second term and flip that. In other words, we convert the second term into its reciprocal. Remember the phrase "flip the guy, and multiply!" Essentially, the "guy" just refers to the second term.
For example, if we have 1/3 ÷ 2/5, in order to solve this, we flip the second term, which is 2/5 so that it becomes 5/2 and then multiply:
1/3 ÷ 2/5 = 1/3 × 5/2 = 5/6
The answer is thus A.
~ an aesthetics lover
Help help help help math math math
Answer:
27 in²
Step-by-step explanation:
The area (A) is calculated as
A = πr² ( r is the radius ) , then
A = π × 3² = 3 × 9 = 27 in²
Using the primary trigonometric formulas you learned in Lesson 1, explain why the equation cos q = 1.4 has no solutions.
Answer:
see explanation
Step-by-step explanation:
For the equation to have solutions , then
- 1 ≤ cosq ≤ 1
Since cosq = 1.4 ( out with limits )
Then the equation has no solutions
What is the slope of the equation Y= 5/4 x - 7/4?
a. -7
b. -7/4
c. 5/4
d. 5
Answer:
a
Step-by-step explanation:
Answer: c
Step-by-step explanation:
i need help with my homework PLEASE CHECK WORK WHEN DONENUMBER 10 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: B
\(\frac{log_{2}(4.72)}{0.32}\)Explanation:
Step 1. The expression that we have is:
\(P(t)=18,785\cdot2^{0.32t}\)This represents the population P after t years.
Step 2. We need to find the expression that represents the amount of time, t, in years, for the population to be 88,740:
\(P(t)=88,740\)Step 3. Substituting this value of P(t) into the given equation:
\(88,740=18,785\cdot2^{0.32t}\)Step 4. To solve for t, first, we divide both sides by 18,785:
\(\frac{88,740}{18,785}=2^{0.32t}\)The result of the division is:
\(4.72=2^{0.32t}\)Step 5. Then, to continue solving for x, we apply the logarithm base two to both sides:
\(log_2(4.72)=log_2(2^{0.32t})\)We simplify applying this property of logarithms:
\(log_2(a^x)=x\cdot log_2(a)\)The result is:
\(log_2(4.72)=0.32t\cdot log_2(2^)\)And since:
\(log_2(2^)=1\)The expression now is:
\(log_2(4.72)=0.32t\)Step 6. Dividing both sides by 0.32 to solve for t:
\(\frac{log_2(4.72)}{0.32}=t\)This expression is shown in option B:
\(\frac{log_{2}(4.72)}{0.32}\)Answer: B
\(\frac{log_{2}(4.72)}{0.32}\)In your economics class there are 44
students. There are 20
freshmen, 12
sophomores, 8
juniors, and 4 seniors.
What is the ratio of seniors to freshman?
Answer:
1:5
Step-by-step explanation:
We Know
There are 44 students in the economics class.
Freshmen: 20
Sophomores: 12
Juniors: 8
Seniors: 4
What is the ratio of seniors to freshmen?
4:20
Simplify by 4; the ratio will be
1:5
So, the ratio of seniors to freshman is 1:4