Answer: 8.9 units
Step-by-step explanation:
We can use the distance formula for a 2d plane:
distance = √\((x_2 - x_1)^2 + (y_2 - y_1)^2\)
Plugging in our values for x1, y1, x2, and y2:
x1 = -7
y1 = 0
x2 = -3
y2 = 8
√\((-3 - -7)^2 + (8 - 0)^2\)
= √\((4)^2 + (8)^2\)
= √\(16 + 64\)
= √\(80\)
= \(8.944271921\)
= 8.9 rounded to the 10th
Find the slope of the line that passes through the pair of points (4, 4) and (10, –1)
Answer:
-5/6
Step-by-step explanation:
Using the slope formula we can easily find the slope
m=(y2-y1)/(x2-x1)
m=(-1-4)/(10-4)
m=-5/6
can anyone help pllllzzzz
Answer:
Muercury 3
Venus 6
Mars 2
pluto 5
Jupiter 1
Nucleus4
Step-by-step explanation:
Let F(x) be an antiderivative of (ln x)^3/x. If F(1) = 0, then F(9) =
a. .048
b. .144
c. 5.827
d. 23. 308
e. 1,640.250
the value of F(9) is approximately 23.308.
To find the value of F(9) given that F(x) is an antiderivative of (ln x)^3/x and F(1) = 0, we can use the fundamental theorem of calculus.
According to the fundamental theorem of calculus, if F(x) is an antiderivative of a function f(x), then:
∫[a,b] f(x) dx = F(b) - F(a)
Since F(1) = 0, we can write:
∫[1,9] (ln x)^3/x dx = F(9) - F(1)
To evaluate the integral, we can make a substitution:
Let u = ln x, then du = (1/x) dx
The integral becomes:
∫[ln 1, ln 9] u^3 du
Integrating u^3 with respect to u:
[(1/4)u^4] | [ln 1, ln 9] = (1/4)(ln 9)^4 - (1/4)(ln 1)^4
Since ln 1 = 0, we have:
(1/4)(ln 9)^4 - (1/4)(ln 1)^4 = (1/4)(ln 9)^4
Therefore, F(9) - F(1) = (1/4)(ln 9)^4
Since F(1) = 0, we can conclude that F(9) = (1/4)(ln 9)^4.
Calculating this value:
F(9) = (1/4)(ln 9)^4 ≈ 23.308
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You start a lawn mowing company and charge $15 per lawn. If you need $200 to buy new airpods, how many lawns would you need to mow?
Paola and her sister are eating lunch at a restaurant in Miami, Florida. They order two iced teas for $2.49 each, nachos for $15.99, and a slice of chocolate cake for $4.99. Florida's sales tax is 6%, but Miami's sales tax is an additional 1% higher. The amount of sales tax on this purchase is $_________. [Enter only digits and decimal for your answer. For example, 99.99] If necessary, round the amount of tax to the nearest 100th.
Answer:
1.82
Step-by-step explanation:
Add the prices to get the subtotal:
Sweet Tea:
2.49 * 2 = 4.98
4.98 + 15.99 + 4.99 = $25.96
The subtotal is $25.96
The sale's tax in Miami is 7% (the base 6% for FL, and the extra 1% for Miami).
$25.96 * 0.07 = 1.817 ≈ 1.82
The tax should be 1.82.
Hope this helps.
1. Who conducted the study described in the article?
A. a
group of
parents
B. Yale University
C. the U.S. government
McDonald's
\(g(x) = \frac{3}{x - 4} \)find the domain, range and zeros/intercepts.The domain would be all real numbers not equal to 4. Right?How do I find the range and intercepts?
You are right about the domain
it is all real values of x except 4
So about the range we must make x subject of the formular so we know the values of y in which g(x) is defined
\(undefined\)u
2. There are 14 students in a class, and 5 of them will be chosen to go on a field trip. How many ways can these students be chosen?
3. A hotel reservation code consists of 4 single-digit numbers followed by 2 letters. How many different reservation codes are possible?
4. A child has 12 different colored crayons and wants to line up 4 of them. How many ways can this be done?
5. A youth soccer coach much choose 3 of his 9 players to go into a game. In how many ways can this be done?
6. Mrs. Jordan has a collection of 9 expensive dolls. How many different ways can she arrange 4 of them in a straight line for a photo?
7. You have 16 shirts in your closet and will take 5 of them on vacation with you. In how many ways can this be done?
8. There are 15 books on your shelf, and you will take 4 of them on vacation with you. How many ways can the books be chosen?
9. You have 8 books, and a bookshelf that has room for 5 of them. How many ways can you arrange the books on the bookshelf?
10. A movie producer wants to cast a dog and a cat in her next film, and the talent agency has 14 dogs and 26 cats to choose from. How many different dog-cat options are possible for the producer?
Answer:
2. There are 14 students in a class, and 5 of them will be chosen to go on a field trip. How many ways can these students be chosen?
Step-by-step explanation:
2. answer = 70 way
The required answers to all the problems are given as ¹⁴C₅, ¹⁰C₄× ²⁶C₂, ¹²C₄, ⁹C₃, ⁹C₄, ¹⁶C₅, ¹⁵C₄, ⁸C₅ and ¹⁴C₁ × ²⁶C₁ respectively.
What is permutation and combination?The permutation and combinations are the methods of counting. The permutation is concerned with arrangement while combination deals with selection only.
The answer to all the questions can be given by the rules of combination which can be stated as,
In order to choose x objects out of n, the total number of possible ways are ⁿCₓ = n!/((n - x)! × x!).
Now, the given problems can be solved one by one as follows,
(2) The number of ways to choose students as per the question is given as ¹⁴C₅ ways.
(3) The total number of possible codes is given by ¹⁰C₄× ²⁶C₂.
(4) The number of ways to line up crayons is given by ¹²C₄.
(5) The number of ways to select players is ⁹C₃.
(6) The number of ways to arrange dolls is ⁹C₄.
(7) The number of ways to select shirts for vacation is ¹⁶C₅.
(8) The number of ways to choose books is ¹⁵C₄.
(9) The number of ways to arrange books on bookshelf is ⁸C₅.
(10)The number of ways to choose dogs and cats is ¹⁴C₁ × ²⁶C₁.
Hence, the answers to all the problems can be solved using the rules of combination which are given as ¹⁴C₅, ¹⁰C₄× ²⁶C₂, ¹²C₄, ⁹C₃, ⁹C₄, ¹⁶C₅, ¹⁵C₄, ⁸C₅ and ¹⁴C₁ × ²⁶C₁ respectively.
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Suppose that X is a normally distributed random variable, with mean 10 and standard deviation 2. What is the probability that X has a value smaller than 7.5? g
The probability that X has a value smaller than 7.5 is approximately 0.1056.
To find the probability that X is smaller than 7.5, we have to standardize the variable using the z-score formula:
z = (x - μ) /σ
here,
x = value of probability,
μ = mean of the distribution, and
σ= standard deviation.
Now, we get,
z = (7.5 - 10) / 2 = -1.25
Now, we have to find the probability that Z (the standardized variable) is less than -1.25.
From a standard normal distribution table, we get that the probability of Z being less than -1.25 is 0.1056.
Therefore, the probability that X has a value smaller than 7.5 is approximately 0.1056.
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The probability that X has a value smaller than 7.5 is approximately 0.1056. This means that in a large number of trials, we would expect X to be smaller than 7.5 about 10.56% of the time.
To answer this question, we need to use the properties of the normal distribution. We know that X is normally distributed with mean 10 and standard deviation 2. We want to find the probability that X has a value smaller than 7.5.
We can use the standard normal distribution to solve this problem. To do this, we first need to standardize the value of 7.5. We do this by subtracting the mean from 7.5 and dividing by the standard deviation:
Z = (7.5 - 10) / 2 = -1.25
Now we can use a standard normal distribution table or calculator to find the probability that Z is less than -1.25. This probability is approximately 0.1056.
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Find the reduction formula for the following integrals
In = ∫cot^n dx, then find I4
The reduction form is \(I_4 i= cot^3 x =ln |sin x| - 3 cot x + 3x + C\).
To find the reduction formula for ∫cot^n x dx, we can use integration by parts. Let u = cot^(n-1) x and dv = cot x dx, then\(du = (n-1)cot^(n-2) x csc^2\)x dx and v = ln |sin x|. By the formula for integration by parts, we have:
∫cot^n x dx = ∫u dv = uv - ∫v du
= \(cot^(n-1) x ln |sin x| - (n-1) ∫cot^(n-2) x csc^2 x ln |sin x| dx.\)
This gives us the reduction formula:
\(I_n = ∫cot^n x dx = cot^(n-1) x ln |sin x| - (n-1) I_(n-2).\)
Using this formula, we can find I_4 as follows:
\(I_4 = ∫cot^4 x dx = cot^3 x ln |sin x| - 3 I_2\\= cot^3 x ln |sin x| - 3 ∫cot^2 x dx\\= cot^3 x ln |sin x| - 3 (cot x - x) + C,\\\)
where C is the constant of integration. Therefore, the solution for I_4 is \(cot^3 x ln |sin x| - 3 cot x + 3x + C.\)
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choose the correct equation for the line shown on the graph
y=-1/4x-4
y=1/4x-4
y=-1/4x-1
y=1/4x-1
Answer:
yes the other guy is right
Step-by-step explanation:
becuz it's always -
- = down/run
What is the slope of a line thatpasses through the points (2,3) and (5,20)
Answer:
20-3=17
5-2=3
17/3 is... 5 and 2/3
Step-by-step explanation:
I need help on this for a brainly
Answer:
D) $4.00
Step-by-step explanation:
This is because looking closely, the slope is 8/2, it goes up 8 and over 2 make it 8 divided by 2 giving you 4, therefore the choice narrow down to 4, or 4 dollars
Solve for w.
-9w-6+7w=16
Answer: w = - 11
Step-by-step explanation:
Combine the like terms. -2w - 6 = 16.Add 6 on both sides. -2w = 22Divide by -2 on both sides. w = - 11Molly is throwing a beach party. She still needs to buy beach towels and beach balls. Towels are $3 each and beach balls $4 each. She bought 10 items in total and it cost $34. How many beachballs did she got?
Answer:
6
Step-by-step explanation:
Which expression is equivalent to 4 (3x – 2)?
O A. 7x-2
O B. 7x + 2
O C. 12x - 2
O D. 12x - 6
O E 12x– 8
Answer:
E is the answer
hope this helps
have a good day :)
Step-by-step explanation:
What is the maximum of thisgraph over the interval [-4, 4]?
The maximum of a graph is found on the y axis. Considering the given interval, the point on the y axis is 4. Thus, the maximum of the graph over the interval is 4.
andrew has 39 pennis, dimes, and quarters worth $5.34 there are twice as many pennies as dimes how many quarters does he have
The number of dimes that Andrew had in the Pennies, dimes, and quarters worth $5.34 are 18.
Let the number of dimes be x. The amount of pennies would consequently double because there are twice as many pennies as there are dime. Let the number of quarters be y. We can set up two equations based on the given information,
0.10x + 0.01(2x) + 0.25y = 5.34
x + 2x + y = 39 (the total number of coins is 39)
Simplifying the first equation, we get,
0.10x + 0.02x + 0.25y = 5.34
0.12x + 0.25y = 5.34
Substituting x + 2x + y = 39, we get,
3x + y = 39
We can solve these two equations simultaneously to find the values of x and y,
0.12x + 0.25y = 5.34
3x + y = 39
Multiplying the second equation by 0.25, we get,
0.75x + 0.25y = 9.75
Subtracting this equation from the first equation, we get,
0.12x - 0.75x = 5.34 - 9.75
-0.63x = -4.41
x = 7
Substituting x = 7 in the equation 3x + y = 39, we get,
3(7) + y = 39
y = 18
Therefore, Andrew has 18 quarters.
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A pet-supply store sells dog biscuits and cat treats. The store has 27 boxes of dog biscuits and 21 pouches of cat treats. Each box holds 18 dog biscuits. Each pouch holds 24 cat treats. How many more boxes of dog biscuits do you need in order for there to be more dog biscuits than cat treats?
The boxes of dog biscuits more that should be ordered so that there would be more dog biscuits is 2.
How many more boxes should be ordered?The first step is to determine the total number of dog biscuits and cat treats. In order to determine these values, multiply the number of boxes by the number of treats or biscuits in each box.
Total number of dog biscuits = total number of boxes x number of biscuits in each box
27 x 18 = 486
Total number of cat treats = total number of boxes x number of cat treat in each box
21 x 24 =504
Difference in the number of cat treats and dog biscuits = 504 - 486 = 18
For, there to be more dog biscuits than cat treats, the store should buy 2 boxes.
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whats the answer to 3 sqaured plus 2x equals 7
Answer:
Step-by-step explanation: 3²+12²=x² simplifies to 9+144=x² so 153=x² or x²=153.
Question 13-19, fill in all unknown values.
given m<6 = 131 find all other measures
13. m<1 =
14. m<2=
15. m<3=
16. m<4=
17. m<5=
18. m<7=
19. m<8=
The values of m<1, m<2, m<3, m<4, m<5, m<7, m<8 are given by 49, 131, 49, 131, 49, 49, 131 respectively.
Given the measure of angle 6 is 131.
We can see that from the figure, angle 6 and angle 2 are corresponding angles and angle 6 and angle 4 are alternative angles.
So, angle 2 = angle 6 = 131
angle 4 = angle 6 = 131
Since angle 1 and angle 4; angle 2 and angle 3 are Linear pairs. So.
angle 3 = 180 - angle 2 = 180-131 = 49
angle 1 = 180 - angle 4 = 180-131 = 49
Since, angle 1 and angle 5; angle 4 and angle 8; angle 3 and angle 7 are corresponding angles to each other.
angle 5 = angle 1 = 49
angle 7 = angle 3 = 49
angle 8 = angle 4 = 131
Hence the values of m<1, m<2, m<3, m<4, m<5, m<7, m<8 are given by 49, 131, 49, 131, 49, 49, 131 respectively.
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Solve the inequality
-6w-16>44
\(-6w-16>44\)
Add both sides by 16
\(-6w>60\)
Divide both sides by -6 (Note: Since we're dividing by a negative number, the inequality symbol needs to be reversed)
\(w<-\dfrac{60}{6}\)
\(w<10\)
This is the solution to the inequality. Let me know if you need any clarifications, thanks!
how does attitude, beliefs and knowledge impact how a teacher delivers a lesson
Attitude, beliefs, and knowledge shape a teacher's delivery: attitude affects engagement, beliefs influence instructional decisions, and knowledge enables effective communication and learning facilitation.
Attitude, beliefs, and knowledge play crucial roles in shaping how a teacher delivers a lesson. Here's a detailed explanation of their impacts:
Attitude:
Attitude refers to a teacher's mindset, emotions, and approach towards teaching. A positive attitude fosters enthusiasm, motivation, and a genuine passion for the subject matter. This translates into an engaging and dynamic teaching style, creating an environment conducive to learning. Conversely, a negative attitude can lead to disinterest, lack of enthusiasm, and a disengaged teaching approach, which can hinder students' engagement and comprehension.
Beliefs:
A teacher's beliefs influence their instructional decisions and pedagogical strategies. Beliefs about students' capabilities, learning styles, and the purpose of education can shape the teacher's approach to delivering a lesson. For example, if a teacher believes that all students have the potential to succeed, they may employ differentiated instruction techniques to cater to diverse learning needs. Conversely, if a teacher holds limiting beliefs about students' abilities, they may adopt a one-size-fits-all approach, which may hinder student progress.
Knowledge:
A teacher's knowledge encompasses both subject matter expertise and pedagogical content knowledge. Profound knowledge of the subject allows a teacher to effectively structure and present the lesson, answer student queries, and provide relevant examples. Pedagogical content knowledge helps in selecting appropriate instructional strategies, adapting to student needs, and assessing learning effectively. Without a strong knowledge base, a teacher may struggle to deliver accurate information, engage students, or address misconceptions.
Collectively, attitude, beliefs, and knowledge significantly impact a teacher's delivery of a lesson. A positive attitude enhances student motivation and engagement. Strong beliefs in students' potential and individualized instruction foster a supportive learning environment. Adequate subject knowledge and pedagogical skills enable effective communication and facilitate meaningful learning experiences. By combining these elements, teachers can create an impactful and effective learning environment that nurtures student growth and achievement.
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a.
What is a "balance brought forward?"
The amount of money you transfer from another checking account
b. The amount of money you will owe in the future
The amount of money you have from the previous statement period
d. The amount of money you used to open your account
C
Please select the best answer from the choices provided
А
B
С
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
in the context of rm and range safety mitigation of risk is the ability
In the context of Range Safety and Risk Mitigation, the ability to detect, assess, and respond to potential hazards is essential.
Range safety and risk mitigation involve identifying and minimizing potential hazards associated with range operations, such as the launch or test of rockets, missiles, or unmanned aerial vehicles. To ensure safety, it is critical to have the ability to detect and assess potential hazards, such as debris, vehicle or equipment malfunctions, and human error. Once hazards have been identified and assessed, the next step is to develop and implement appropriate safety measures to mitigate the risk associated with those hazards. These measures may include the use of safety protocols, engineering controls, or administrative procedures to ensure that all personnel and equipment are protected. In summary, the ability to detect, assess, and respond to potential hazards is critical for effective range safety and risk mitigation. By implementing appropriate safety measures and protocols, the risks associated with range operations can be minimized, ensuring the safety of personnel and equipment.
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Billy walked 52 miles in 3 days how many miles could he walk in 10 days?
Answer:
He could walk 173 \(\frac{1}{3}\) miles in 10 days
Step-by-step explanation:
To solve this problem let us use the ratio method
∵ Billy walked 52 miles in 3 days
∵ We need to find how many miles could he walk in 10 days
→ Use the ratio method
→ Miles → Days
→ 52 → 3
→ x → 10
→ x is the number of miles
→ By using cross multiplication
∵ x × 3 = 52 × 10
∴ 3x = 520
→ Divide both sides by 3 to find x
∴ \(\frac{3x}{3}=\frac{520}{3}\)
∴ x = 173 \(\frac{1}{3}\) miles
∴ He could walk 173 \(\frac{1}{3}\) miles in 10 days
In △WXY, WX=10.3 inches, WY=12.8 inches, and m∠W=63∘. What is the area of △WXY? Enter your answer in the box rounded to the nearest tenth.
Answer: 58.7 inches squared
Step-by-step explanation:
I took the test
The area of triangle WXY is approximately 66.2 square inches.
We have,
To find the area of triangle WXY, we can use the formula:
Area = (1/2) x base x height
In this case,
The base of the triangle is WX, which measures 10.3 inches, and the height is WY, which measures 12.8 inches.
Using the formula, we can calculate the area as:
Area = (1/2) x 10.3 x 12.8
Area = 66.24 square inches
Thus,
Rounded to the nearest tenth,
The area of triangle WXY is approximately 66.2 square inches.
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What is the product of (7/8 ) (-16) (-7) (-1/14)
A . -7
B . - 9/16
C . -1/7
D . 23/12
Answer:
I believe its A.
Step-by-step explanation:
if alicia had been able to achieve the same percentage of visitors for the entire week as she does on monday, how many additional people would then visit cool beans?
Alicia want that 50 % of all people who visited one of the three coffee shops should visit her every week.
Total visitors to the other two coffee shops during one week = 840+1,220 i.e. 2,060
Total visits to Cool Beans should be 50 % of total visits i.e. equal to visits of the other two cafes combined
Visits to Cool Beans should be 2,060
Current Visits =548
Additional visits =2,060-548 i.e. 1,512 visits
Note for better understanding:
same or the demand of coffee will remain same, then the Additional people will be calculated as:
Total number of visits = 584+840+1,220 i.e. 2,608
Target number of visits =50 % of total visits i.e. 1,304 visit
Additional visits = 1,304-548 = 756 visits
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NEED HELP ASAP
Vector Vector P Q has an initial point at (3, 3) and its terminal point is at (5, 7).
Vector Vector R S has an initial point at (4, –6) and its terminal point is at (1, –5).
What is the component form of vector Vector P Q minus R S?
___________ , _____________
Answer:
5, 3
Step-by-step explanation:
correct on edge2020
Answer:
(5, 3)
Step-by-step explanation:
late but still lol