The net area of the bar after drilling the hole is 0.8885 sq. in.
Given,Width of rectangular bar = 2.5 in
Thickness of rectangular bar = 3/8 in
Diameter of hole = 0.5 in
Area of rectangular bar = Width × Thickness= 2.5 × 3/8= 0.9375 sq. in
Now, the area of the hole is,A = πr²/4
Where r = Diameter/2= 0.5/2= 0.25 inA = π (0.25)²/4A = 0.049 sq. inNow, the net area of the bar after drilling the hole is,
Net area = Area of rectangular bar - Area of hole= 0.9375 - 0.049= 0.8885 sq. in
Therefore, the net area of the bar after drilling the hole is 0.8885 sq. in.
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Select all expressions that are equivalent to 5% of 200.
А 1/20 X 200
B 1/5 x 200
С 1/2 • 200
D 10
E 5
is the square root of 1,815 rational?
Answer:
It is not
Step-by-step explanation:
Explanation:
Using a calculator, we find that
sqrt(1815) = 42.6028168082816
which is not a whole number. The decimal numbers go on forever without any known pattern. Therefore, this number is irrational. This means it is not rational.
Tres empleados de una empresa tienen que pagar 3100€ de impuestos entre todos de forma inversamente proporcional a su sueldo mensual. Si Javier cobra 1500€, Antonio, 2000€, y Elvira, 1800€, ¿cuánto tiene que pagar cada uno?
Answer:
La cantidad que Javier paga como impuesto, A es de 1.200 €
La cantidad que Antonio paga como impuesto, B es 900 €
El importe que paga Elvira como impuesto, C es de 1.000 €
Step-by-step explanation:
Dejemos que 'A', 'B' y 'C', representen la cantidad que pagan Javier, Antonio y Elvira respectivamente, y que 'k' represente la constante de proporcionalidad, por proporcionalidad inversa, tenemos;
A = k / 1500, B = k / 2000, C = k / 1800
A + B + C = 3100
∴ k / 1500 + k / 2000 + k / 1800 = 3100
Simplificando la ecuación anterior usando una calculadora gráfica da;
31 · k / 18 000 = 3100
k = 18.000 × 3.100 / 31 = 1.800.000
k = 1.800.000
La cantidad que Javier paga como impuesto, A = 1.800.000 / 1.500 = 1.200
La cantidad que Antonio paga como impuesto, B = 1.800.000 / 2.000 = 900
La cantidad que paga Elvira como impuesto, C = 1.800.000 / 1.800 = 1.000
HELP AND HURRY PLEES
Answer:
PJ
Step-by-step explanation:
J is at -9 which is 9 away from 0
P is at -9 which is 9 away from 0
Philip has already run 21 miles on his own, and he expects to run 1 mile during each track
practice. How many track practices would it take for Philip to run 41 miles?
Answer:20
Step-by-step explanation:
21 has already been ran,so subtract that from 41. If he runs 1 mile per track,20 more practices. (41-21)
Diedra has $20 to spend. Can she buy shorts that cost $18.50?
Answer:
yes she can
Step-by-step explanation:
yes she can because $20 is great than $18.50
What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope −7?
A. y + 5 = 7(x + 8)
B. y + 5 = −7(x + 8)
C. y − 5 = 7(x − 8)
D. y − 5 = −7(x − 8)
Answer: D. y-5= -7(x-8)
Step-by-step explanation:
point slope form: y-y1=m(x-x1)
slope= -7
point: (8,5)
use the slope and point and plug it into point slope form equation.
y-5= -7(x-8),
The Answer would be D. y-5= -7(x-8)
Someone please explain
The tens digit of a two-digit number is one more than the units digit. The difference between this number and the reverse number is 1/5 of the reverse number. Find the number.
The two-digit number in which the tens digit of the number is one more than the units digit is 54.
What is the algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Let the unit digit be x. The tens digit of a two-digit number is one more than the units digit. Thus the unit digit is,
\(\rm \;tens\; digit=x+1\)
Then the number is,
\(10(x+1)+x\\11x+10\)
The reverse of this number is,
\(10x+x+1\\11x+1\)
The difference between this number and the reverse number is 1/5 of the reverse number. Thus,
\(11x+10-(11x+1)=\dfrac{1}{5}(11x+1)\\9=\dfrac{1}{5}(11x+1)\\45=11x+1\\x=\dfrac{44}{11}\\x=4\)
The unit digit is 4. Thus the tens digit is,
\((x+1)=4+1\\(x+1)=5\)
Hence, the two-digit number in which the tens digit of the number is one more than the units digit is 54.
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Answer:
54
Step-by-step explanation:
Find the difference of (6x² + 3x - 5) and (4x² – 2x +3)
50 points
Answer:
there is no difference between the two because the first equation answer is -3 but there is no answer to the second equation because both of the numbers doesn't have a factor of 12
Step-by-step explanation:
1. Find the limit, if it exists. (If an answer does not exist, enter DNE.)(a)lim x→[infinity] [ln(5 + 3x2) − ln(8 + x2)](b)lim x→[infinity] [ln(5 + 3x2) − ln(8 + x)] (c)lim x→[infinity] [ln(5 + 3x) − ln(8 + x2)]2. Find the limit, if it exists. (If an answer does not exist, enter DNE.)lim x → [infinity] arctan(ex)
At Harry's Farm, 45% of the animals are pigs. At Kylie's Ranch 1/10 of the animals are pigs. At which farm are a greater percentage of animals pigs?
Answer:
Harry's Farm
Step-by-step explanation:
1/10 as a percentage is 10%
and 45% is greater than 10%.
Help HELP HELP HELP HELP- I have 40 missing assignments and I want to make my mom proud!!!!
Answer:
1. 70
Step-by-step explanation:
2. 105
Answer:
A: 70.311 repeat
B: 105.53
Step-by-step explanation:
im not sure if im correct but hope this helps
A science class has a ratio of 3 boys to 2 girls. Can there be 24 students in the class
Answer:
no
if you Let 3x be the number of boys
Let 2x be the number of girls
3x + 2x = 24
5x = 24
x = 4.8
3(4.8) = 14.4 boys
2(4.8) = 9.6 girls
There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense
What does anna think the prairie looks like after the hail storm
sarah plain and tall
In the book "Sarah, Plain and Tall" by Patricia MacLachlan, Anna, one of the main characters, describes what she thinks the prairie looks like after the hail storm.
After the hail storm, the prairie is likely to have undergone some visible changes. Hail storms can cause damage to crops, vegetation, and the overall landscape. It's possible that Anna perceives the prairie as altered or damaged due to the hail storm.
Given Anna's deep connection to the prairie and her love for the natural world, it is likely that she feels concerned and saddened by the effects of the storm. The prairie holds great significance to Anna and her family, representing their home and way of life. Therefore, she may have mixed emotions of worry and sadness, hoping for the prairie to recover and return to its previous beauty.
Anna's observations and thoughts about the prairie after the hail storm may also reflect her resilient and optimistic nature. Despite the temporary changes caused by the storm, Anna may find solace in the knowledge that the prairie has the ability to heal and rejuvenate over time. She may view it as a natural cycle, understanding that the prairie will eventually flourish once again.
In summary, while the exact thoughts of Anna about the prairie after the hail storm are not explicitly stated in the book, we can infer that she experiences a mixture of concern, sadness, and hope for the prairie's recovery. The book portrays Anna as a character deeply connected to the land, making her emotional response to the storm's impact on the prairie significant and meaningful.
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Which of the following is a postulate?
A) Angle bisector postulate
B) Collinear lines postulate
C) Intersecting lines postulate
D) Planes postulate
Option C is correct. interscting lines postulate is a postulate since we do not need to prove further to check where it is true or not.
A postulate can be termed as a theorem that is true and does not require any proof to ascertain its veracity.
From the given option, angle bisector postulate, collinear lines postulate and planes postulate are not postulate since we need to prove each of the theorems to ascertain their veracity.
Based on the definition above, hence, it can be concluded that intersecting lines postulate is a postulate since we do not need to prove further to check where it is true or not.
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Write a recursive sequence for the following:
27, 33.5, 40, 46.5
Consider the data set that is summarized in the R Output below. leaf unit: 1 n:13 1 1 0 2 2 7 2 3 4 4 35 4 5 أي أدا mm мол (5) 4 5 33478 6 2677 (a) Find the values of Q1 and 23. (b) Find the median (c) Find the adjacent values. (Note: See this example for the relevant definitions and an example.) (d) Which of the following is a correct modified boxplot for this data set?
(a) The values of Q1 as 2 and Q3 as 35.
(b) The dataset was arranged in ascending order, and since the total number of observations (n) is odd (13), the median was found to be the middle value, which is 5.
(c) The upper adjacent value was determined by adding 1.5 times the IQR to Q3, resulting in 87.5.
(d) The box plot of the data is illustrated below.
(a) Finding Q1 and Q3:
To determine Q1 and Q3 from the given dataset, we can start by arranging the data in ascending order: 0, 2, 3, 4, 4, 5, 6, 7, 35, 2677, 33478.
Next, we count the total number of observations (n) which is 13 in this case. We use the following formulas to calculate the position of Q1 and Q3:
Q1 = (1 * n) / 4
Q3 = (3 * n) / 4
Substituting the value of n into the formulas:
Q1 = (1 * 13) / 4 = 3.25 (approximately)
Q3 = (3 * 13) / 4 = 9.75 (approximately)
Now, we need to identify the values in the dataset that correspond to these positions. For Q1, we take the value at the position immediately below 3.25, which is 2. For Q3, we take the value at the position immediately below 9.75, which is 35.
Therefore, the values of Q1 and Q3 for the given dataset are 2 and 35, respectively.
(b) Finding the Median:
The median represents the middle value of a dataset when it is arranged in ascending or descending order. If the dataset has an odd number of observations, the median is the middle value itself. If the dataset has an even number of observations, the median is the average of the two middle values.
Arranging the given dataset in ascending order: 0, 2, 3, 4, 4, 5, 6, 7, 35, 2677, 33478.
Since the total number of observations (n) is odd (13), the median will be the middle value. In this case, the middle value is the 7th observation, which is 5.
Therefore, the median for the given dataset is 5.
(c) Finding the Adjacent Values:
Adjacent values, also known as whiskers in a boxplot, indicate the minimum and maximum values within a certain range. The range is determined using the interquartile range (IQR), which is the difference between Q3 and Q1.
For the given dataset, the IQR is calculated as follows:
IQR = Q3 - Q1 = 35 - 2 = 33
The adjacent values are determined by extending the whiskers 1.5 times the IQR below Q1 and above Q3.
Lower adjacent value = Q1 - 1.5 * IQR
Upper adjacent value = Q3 + 1.5 * IQR
Substituting the values:
Lower adjacent value = 2 - 1.5 * 33 = -47.5
Upper adjacent value = 35 + 1.5 * 33 = 87.5
Therefore, the adjacent values for the given dataset are -47.5 and 87.5.
(d) Determining the Correct Modified Boxplot:
To determine the correct modified boxplot, we need additional information or options to compare against the given dataset. Unfortunately, the options are not provided in your question. Please provide the options or any additional information related to the modified boxplot so that I can assist you further in choosing the correct one.
Remember, the boxplot is a graphical representation of the dataset using its quartiles, median, adjacent values, and outliers, if any. It provides a visual summary of the distribution and identifies any potential outliers or extreme values.
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Find the value of B?
y=-x²+bx - 1
Answer:
b= 2 if you need a perfect square
Step-by-step explanation:
If we need to "Find the value of b? " so that the quadratic equation can be written as a perfect square
y= -x²+bx - 1, factor the -1
y= - (x² -bx +1), we know (a+b)² = a²+2ab+b² = x²-bx+1 , so b must be 2
y= - (x² -2x +1), rewritten as a perfect square
y= - (x -1)²
help please
What is the correct way to break 12 into parts and multiply each part by 6?
Answer:
2nd one
Step-by-step explanation:
Hope I helped!
Use Evcel fo find the probabinty that in 112 trials with probabinty
0.42
of success that there are 30 or fewer suce ses. Round to 6 decimaiplaces Type your answer hern
Answer:
0.5
Step-by-step explanation:
0.5=0.42 then the answer is 0.5
5х + 3 = 43
What this??
Answer:
answer is x = 8
Step-by-step explanation:
If it says add 3 you subtract it to the 43 and that turns into 40, divide both sides by 5 and you get x = 8 :)
Answer:
x=8
Step-by-step explanation:
Im not sure what your question means,but you need to find x.
5x+3=43
You subtract 3 on both sides
leaving your equation to be
5x=40
Now divide the 5
and you will get x=8
Check:
5(8)+3=43
40+3=43
43=43
The tickets for an upcoming concert cost $48 each. Carla wants to purchase 12 tickets for a group of friends. Carla multiplies 12(48) to find the total cos Which expressions can Carla use to find the product of 12(48) ? Select all that apply. 0 12 + (40)(8) O 12(40+8) 0 (12)(4) + (12)(8) 0 (12)(40) + (12)(8)
Answer:
The correct answer(s) are 12 (40+8) and (12)(40) + (12)(8)
Step-by-step explanation:
It's correct I just did this.
The correct expressions to obtain the total cost of ticket are 12(40) + 12(8) and 12(40+8)
Given the Parameters :
Cost per ticket = $48Number of tickets to be purchased = 12The total cost of 12 ticket is can be obtained thus :
Multiply the number of tickets by the cost per ticket 12 × 48 = 576Evaluating the options given :
12 + (40)(8) = 12 + 480 = 492 - - - > incorrect 12(40+8) = 480 + 96 = 576---> correct 12(4) + 12(8) = 48 + 96 - - - > incorrect 12(40) + 12(8) = 480 + 96 = 576 - - - > correctTherefore, the correct expressions are :
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working simultaneously four fudge machines complete a big order in 32 hours.All machines at the fudge factory work at the same pace. How many hours would it take to complete the order with 4 times the number of machines.
If four fudge machines complete a big order in 32 hours. then it takes 128 hours to complete the order with 4 times the number of machines.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The number of machines in a factory are four
4 machines complete a big order in 32 hours.
If all the machines at the fudge factory work at the same pace, we need to find How many hours would it take to complete the order with 4 times the number of machines.
4 times the number of machines.
=4×4=16 machine.
How long it will take for 16 machines to complete the same order.
4/32=16/x
Apply cross multiplication
4x=512
x=128
Hence 128 hours would it take to complete the order with 4 times the number of machines.
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Which equation properly demonstrates the Identity Property of Addition?
A| 8+ (-8) =0
B| 2/3 + 0 = 2/3
C| 1/4 x 4/1 = 1
D| -8 x 1 = -8
17b hydroxy 2a 17b dimethyl 5a androstan 3 one azine
The given term seems to include various descriptors, such as "17b hydroxy," "2a," "17b dimethyl," "5a," and "androstan 3 one azine." These descriptors likely refer to specific chemical features or substitutions present in the compound.
The term "17b hydroxy 2a 17b dimethyl 5a androstan 3 one azine" appears to be a chemical compound or a steroid compound. However, without additional information or context, it is challenging to provide an accurate description or explanation for this specific compound.Chemical compounds are typically described using a combination of systematic names, common names, or molecular formulas. These names are based on standardized nomenclature systems developed by scientific organizations.
In this case, the given term seems to include various descriptors, such as "17b hydroxy," "2a," "17b dimethyl," "5a," and "androstan 3 one azine." These descriptors likely refer to specific chemical features or substitutions present in the compound.To provide a more detailed explanation, it would be helpful to have the systematic name, molecular formula, or additional information about the compound's structure, properties, or usage. With these details, it would be possible to provide a more accurate and informative description of the compound.
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solve 16x = 64x + 4 please
Answer:-1/12
Step-by-step explanation:
16x=64x+4
16x-64x-4
-48x=4
x=4/-48
Ans:-1/12
Answer:
\(\huge\boxed{\sf x = -1/12}\)
Step-by-step explanation:
\(\sf 16x = 64x+4\\\\Subtract \ 64x \ to \ both \ sides\\\\16x-64x=4\\\\-48x = 4\\\\Divide \ -48 \ to \ both \ sides\\\\x= 4 / -48\\\\x = - 1 / 12\\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807You earned a 90% on a test if there are 30 questions how many did you answer correctly?
Answer:
27
Step-by-step explanation:
you can do cross multiplication
90/100 = x/30
100x=2700
x=27
Solve for p.
p/2 − 3.71 = –3.51
p =
Step-by-step explanation:
mark me as the brainliest
Express the formula d=rt in terms of the time,t. Use your formula to find the time when the distance is 40 and the rate is 8.
The expression for d=rt in terms of the time is t = d/r; t = 5.
What is time? Time can be defined as a continuous and ongoing sequence of events that occur consecutively from the past to the present to the future. Time is used to measure, measure or compare the duration of events or the intervals between them, and even the sequence of events. Time is a useful concept that we use in our daily life. We have to watch when we cook, play, study, go to school, meet someone, etc. So knowing the right time is very important. Time is usually the answer to when an event happens or happened. The concept of time determines when a certain event occurs, has occurred or will occur. Time is a measurable quantity and is also infinite. The time is calculated in seconds, minutes, hours, days, months and years.Therefore,
In the equation d=rt
t = d/r
when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
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