Answer:
B. 3y + 3zStep-by-step explanation:
Just Distribute:
3(y + z)
3y + 3z
Hope this Helps! :) <3
matthews bed takes up 1/3 of the width of his bedroom 3/5 of the length. what fraction of the area of the floor does matthews bed take up?
Answer:
1/5 (one fifth)
Step-by-step explanation:
if x is the length of the bedroom and y is the width then we can do big brain maffs
Length of floor = x
Width of floor = y
Length of bed = 3/5*x or 3x/5
Width of bed = 1/3*y or y/3
Area of floor = xy
Area of bed = 3x/5 * y/3 = xy/5
Area of bed/Area of floor = (xy/5) / xy = 1/5
Pls help I'll give brainly i really need it
hello
30/42 = x /49
42 x = 1 470
x = 35
30 /42 = 40/ 40 + y
30 y + 1200 = 1 680
30 y = 1 680 - 1 200
30 y = 480
y = 16
Answer:
x = 35
y = 16
Step-by-step explanation:
Both the triangles are similar by AA test of similarity.
\( \implies \: \frac{30}{30 + 12} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{30}{42} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{x}{49} \\ \\ \implies \: x = \frac{5 \times 49}{7} \\ \\ \implies \huge \red {\boxed{ \: x = 35}}\\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} \\ \\ 5(40 + y) = 280 \\ \\ \implies \: 200 + 5y = 280 \\ \\ \implies \: 5y = 280 - 200 \\ \\ \implies \: 5y = 80 \\ \\ \implies \: y = \frac{80}{5} \\ \\ \implies \: \huge { \orange{ \boxed{ y = 16}}}\)
what is the maximun of number of people who can stand in each side of the boat
The maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.
The maximum number of people who can stand in each side of a boat can be determined using Archimedes' Principle. This principle states that the buoyant force on an object is equal to the weight of the fluid it displaces. In the case of a boat, the buoyant force is equal to the weight of the water it displaces.
Using this principle, the maximum number of people who can stand in each side of a boat can be calculated using the equation:
F_B = m_p * g
Where F_B is the buoyant force, m_p is the total mass of all the people standing in the boat, and g is the acceleration due to gravity.
To determine the maximum number of people, we must first calculate the mass of the boat, m_b. We can do this by multiplying the volume of the boat (V) by the density of the material the boat is made of (ρ).
m_b = V * ρ
Next, we can calculate the total mass of all the people standing in the boat, m_p. This can be calculated by multiplying the total number of people (n) by the average mass of a person (m).
m_p = n * m
Finally, we can calculate the maximum number of people who can stand in each side of the boat by rearranging the equation for F_B and solving for n.
n = (F_B) / (m * g)
Therefore, the maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.
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Fill in the table using this function rule.
y=5x+3
Answer:
Step-by-step explanation:
5(1) + 3 = 5 + 3 = 8
(1,8)
5(3) + 3 = 8 + 3 = 11
(3, 11)
5(9) + 3 = 45 + 3 = 48
(9, 48)
5(10) + 3 = 50 + 3 = 53
(10, 53)
PLEASEEEE HELP!!!!! I WILL MAKE BRAINLEST!!!!!!!!!!!!
What's the common difference of 5,10,20,40
Answer:
Geometrical sequence of x2, each number is being multiplied by 2.
Step-by-step explanation:
10/5 = 2
20/10 = 2
40/20 = 2
How do you answer this problem: 4.2v - 5 - 6.5v?
What equation would you use to find the measure of
SOLUTION
The shape is a parallelogram
The consecutive angle of a parallelogram is supplementary that is added up to 180 degree
\(\angle M+\angle L=180^0\)Hence we have
\(\begin{gathered} \angle L=(2z-3)^0 \\ \angle M=(5z-6)^0 \\ (2z-3)^0+(5z-6)^0=180^0 \end{gathered}\)Therefore the right option is D
(a) suppose one woman is selected at random from the women in stem majors at the university. what is the probability that the woman selected will not meet the age requirement for the internships?
This means that the probability that a randomly selected woman from STEM majors at the university does not meet the age requirement for the internships is approximately 0.0228 or 2.28%.
Without any specific information about the age requirement for the internships or the age distribution of the women in STEM majors at the university, it is impossible to calculate a precise probability.
However, assuming that the age requirement is above the average age of women in STEM majors at the university, we can make a rough estimate.
Let's say that the average age of women in STEM majors at the university is 21 years old, and the age requirement for the internships is 25 years old.
Then, the probability that a randomly selected woman from the STEM majors does not meet the age requirement is the probability that her age is less than 25.
Assuming that the age of women in STEM majors follows a normal distribution with a mean of 21 years old and a standard deviation of 2 years (just for illustration purposes), we can use a standard normal distribution table or a calculator to find the probability that a randomly selected woman's age is less than 25.
Using a standard normal distribution table, we find that the probability of z-score less than (25-21)/2 = 2 is about 0.9772.
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Which statement is true?
–16 + 23 = –17 + 10
–12 + (–11) > 5 + (–29)
15 + (–5) > 23 + (–12)
8 + (–7) < –15 + 14
Answer:The second one is correct
Answer:
-12+(-11)>5+(-29) is the correct answer!
Step-by-step explanation:
Brainliest please! :D
find the minimum amount of time (in seconds) it takes for a vehicle to pass through the zone without exceeding the posted speed limit of miles per hour.
The minimum amount of time (in seconds) it takes for a vehicle to pass through the zone without exceeding the posted speed limit of miles per hour is 4.8708 seconds.
We can solve this problem easily by using the Pythagorean Theorem. This is because the distances from the cop car to the road form two legs of a right triangle. This makes the total length of this zone the hypotenuse of this triangle and thus, this problem can be solved using the Pythagoras theorem.
= (150)^2 + (200)^2 = h^2
= 62500 = h^2
= h = 250
Our distance is in feet, but our speed is in miles per hour. Let's convert this distance into miles as well.
= 250 feet × 1 mile/5280 feet = 0.04735 miles
Then, when we use the formula d = rt
= 0.04735 = 35t
= 0.04735/ 35 ≈ 0.001353
Since our speed was in miles per hour, this time is also in hours. We need to convert this to seconds before we can state our final answer.
= 0.001353 hours × 60 minutes/1 hour × 60 seconds/1 minute = 4.8708 sec
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A manager of a deli gathers data about the number of sandwiches sold based on the number of customers who visited the deli over several days. The
table shows the data the manager collects, which can be approximated by a linear function.
Customers
104
70
111
74
170
114
199
133
163
109
131
90
Sandwiches
If, on one day, 178 customers visit the deli, about how many sandwiches should the deli manager anticipate selling?
To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.
By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.
To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.
Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.
After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).
Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.
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THIS ONE IS HARD SO PLEASE HELP ITS RSM....
AWNSER FOR EACH ONE (I WILL GIVE BRAINLIEST)
Y>0
Y<0
Y=0
The value of x when y=0 from the given absolute value equation is x=-1.
The graph for the absolute equation y=|x+2|-1 is given.
Rewrite in vertex form and use this form to find the vertex (h,k).
(-2, -1)
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (-1,0),(-3,0)
y-intercept(s): (0, 1)
Here, y>0
So, 1=|x+2|-1
2=x+2
x=0
When y<0
So, -1=|x+2|-1
x+2=0
x=-1
When y=0
0=|x+2|-1
1=x+2
x=-1
Therefore, the value of x when y=0 from the given absolute value equation is x=-1.
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3. Angle r* = 2wº. What is the measure of angle rº1 Show your work. 125⁰ Thangle A wo Wo Triangle B 125⁰ 3. Angle r * = 2wº . What is the measure of angle rº1 Show your work . 125⁰ Thangle A wo Wo Triangle B 125⁰
Answer:
r = 290°
Step-by-step explanation:
Exterior angle property:In a triangle, exterior angles equals the sum of interior opposite angle.
In triangle A,
x + 90 = 125 {Exterior angle property}
x = 125 - 90
x = 35°
In triangle B,
y + 90 = 125
y = 125 - 90
y = 35°
x + y + r = 360 {Complete angle}
35 + 35 + r = 360
70 +r = 360
r = 360 - 70
r = 290°
Find the volume of the solid whose base is a circle of radius 5, if slices made perpendicular to the base are isosceles right triangles with one leg on the base. (express numbers in exact form. Use symbolic notation and fractions where needed. )
V = ____
The solid has a 62.5 cubic unit volume. Finding the volume of a solid with a circular base of radius 5 units is the task at hand.
The following formula can be used to determine how much of the magical potion is left after a specific period of time:
Let h represent the solid's height. The volume can therefore be stated as follows:
V = (12.5 dh from 0 to h)
Combining, we obtain:
V = 12.5h
The height of the solid is equal to the radius of the circle, which is 5 units, because the slices are perpendicular to the base. Therefore:
V=12.5h=12.5(5)=62.50 cubic metres
Thus, the solid has a 62.5 cubic unit volume.
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Plot the 2000 parchased cost of the shell-and-tube heat exchanger outlined in Prob. 6−1 as a function of the surface area from 10 to 200 m² . Note that the purchased cost capacity exponent is not constant over the range of surface area requested.
This plot will provide a visual representation of how the purchased cost of the shell-and-tube heat exchanger changes over the specified range of surface areas.
To plot the purchased cost of the shell-and-tube heat exchanger as a function of the surface area, we need to consider the variation in the purchased cost capacity exponent.
The purchased cost of the heat exchanger can be expressed as:
C = C0 * (A)^b
where C is the purchased cost, C0 is the cost constant, A is the surface area, and b is the purchased cost capacity exponent.
Given that the purchased cost capacity exponent is not constant over the range of surface area requested (10 to 200 m²), we need to consider different values of b for different ranges of surface area.
Let's assume the following ranges and their corresponding purchased cost capacity exponents:
For 10 m² ≤ A ≤ 50 m², let b = 0.8
For 50 m² < A ≤ 100 m², let b = 0.7
For 100 m² < A ≤ 150 m², let b = 0.6
For 150 m² < A ≤ 200 m², let b = 0.5
Now, we can calculate the purchased cost for different values of surface area using the corresponding purchased cost capacity exponents.
For each range, substitute the given values of C0 and b into the cost equation to find the purchased cost for the corresponding surface area.
Once we have calculated the purchased costs for different surface areas, we can plot them on a graph with surface area (A) on the x-axis and purchased cost (C) on the y-axis.
The graph will show the variation in purchased cost as a function of surface area, considering the different purchased cost capacity exponents for different ranges.
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Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour. Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour. How many hours until they have the same amount of fruit left?
Answer:
72.1 hours
Step-by-step explanation:
Let the number of hours be represented as: x
Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour.
Convert 2 7/8 pounds to decimal = 2.875pounds
Hence:
252 - 2.875x
Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour.
Convert 3 1/3 pounds to decimal = 3.333 pounds
Hence:
285 - 3.333x
How many hours until they have the same amount of fruit left?
This calculated by equating both equation together
252 - 2.875x = 285 - 3.333x
Collect like terms
-2.875x + 3.333x = 285 - 252
0.458x = 33
x = 33 / 0.458
x = 72.052401747 hours
x ≈ 72.1 hours
They would have the same amount of fruit left after 72.1 hours
To determine how much fluid she should be replenishing with, Kimmy weighs herself before and after a 2-hour run and finds she loses 3 pounds during the run. If approximately 2 cups of fluid weighs 1 pound, and she should replace her lost fluid pound-for-pound, how many fluid ounces total should Kimmy replenish with during and after her run
A soma de dez termos consecutivos da sucessão 2,3,5,8,11 é
Primeiro, vamos identificar a razão da sequência. A diferença entre cada termo consecutivo é:
3 - 2 = 1
5 - 3 = 2
8 - 5 = 3
11 - 8 = 3
Podemos ver que a razão é 3.
Agora, podemos usar a fórmula para a soma dos n primeiros termos de uma progressão aritmética:
Sn = (n/2)(a1 + an)
onde Sn é a soma dos n primeiros termos, a1 é o primeiro termo e an é o último termo.
Para encontrar a soma dos próximos dez termos da sequência, precisamos primeiro encontrar o valor do sexto termo. Podemos fazer isso adicionando a razão ao quinto termo:
11 + 3 = 14
Agora, podemos usar a fórmula acima para encontrar a soma dos próximos dez termos:
S10 = (10/2)(14 + 3(10))
S10 = 5(44)
S10 = 220
Portanto, a soma dos próximos dez termos é 220.
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A line passes through the points (3,20) and (9,26). Write a linear function rule in terms of x and y for this line.
Answer:
y = x + 17
Step-by-step explanation
Hanna says that 2.11 is a rational number. Gus says the 2.11 is a repeating decimal. Who is correct and why?
Answer:
Gus is correct.
Step-by-step explanation:
Gus is correct beacause rational numbers don't have decimals (or not what I've been taught)
And if it says 2.11 that means the 1's must go on for a LONG time ^-^
If a PACE (name of my school book) measures 8 1/4 inches by 10 3/4 inches, give it's width and length in centimeters.
The length of the PACE book is 27.31 centimeters and the width is 20.96 centimeters.
The first step in converting the measurements of the PACE book from inches to centimeters is to understand the conversion factor. One inch is equal to 2.54 centimeters. To convert the length and width of the PACE book from inches to centimeters, we simply need to multiply each measurement by 2.54.
The length of the PACE book in inches is 10 3/4 inches. Converting this to centimeters, we multiply 10.75 by 2.54, which gives us 27.31 centimeters. Therefore, the length of the PACE book in centimeters is 27.31 centimeters.
The width of the PACE book in inches is 8 1/4 inches. Converting this to centimeters, we multiply 8.25 by 2.54, which gives us 20.96 centimeters. Therefore, the width of the PACE book in centimeters is 20.96 centimeters.
In summary, the length of the PACE book is 27.31 centimeters and the width is 20.96 centimeters.
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A bee flies at 10 feet per second directly to a flower bed from its hive. The bee stays at the flower bed for 12 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 17 minutes.
Answer:
Aug 26, 2018 · A bee flies at 20 feet per second directly to a flower bed from its hive. HThe bee stays at the flower bed for 15 minutes, then flies directly back to the hive at 12 feet per second. It is away from the hive fore 20 minutes total. a. What equation can you use to find the distance of the flowerbed from the hive? b. How far is the flowerbed from ...
Step-by-step explanation:
Answer:
1335 ft.
Step-by-step explanation:
The bee is at the flower bed for 12 out of the 17 minutes that it is away from the hive. ---> 17 - 12 = 5
It travels at 10 feet per second to get there, and 8 feet per second when leaving. ---> 8 ft. per sec. ---> 10 ft. per sec.
The bee travels 10 ft. per sec. for 133.5 secs to arrive at the flower bed.
The bee travels 8 ft. per sec. for 166.875 secs until it gets back to the hive.
The flower bed 1335 ft. away from the hive.
I hope this helps, good luck!
The ratio of boys to girls in the sixth grade is 2:3. If there are 80 total students, how many are girls?
Answer:48
Step-by-step explanation:3×16=48
let a = {0,2,4,6,8,10}, b = {0,1,2,3,4,5,6}, and c = {4,5,6,7,8,9,10}. find a) a∩b∩c. b) a∪b∪c. c) (a∪b)∩c. d) (a∩b)∪c.
Answer:
answer below
Step-by-step explanation:
a) will be all of them
b)will be all of their unions, so the values they all have in common in this case 4, 6
c)will be the values in common with a and b and all of c,
d)will be all of the values of a and b and all of the values in common with c
sorry I csnnot give an actual answer at the moment, but i can explain what each question wants from you in literal word form.
What is the equation of the line that passes through the point (−3,2) and has a slope of -3?
Answer:
y = -3x - 7
Step-by-step explanation:
slope-intercept form: y = mx + b
given m = -3, x = -3, y = 2
2 = -3(-3) + b
2 = 9 + b
b = 2 - 9 = -7
y = -3x - 7
Santos walks 222 kilometers south and then a certain number of kilometers east. He ends 555 kilometers away from his starting position. How many kilometers east did Santos walk
Answer:
4.6 km
Step-by-step explanation:
You want to know how many kilometers east Santos walked to end up 5 km from his starting position after walking 2 km south.
DistanceThe distance Santos is from his starting position will be the hypotenuse of a right triangle with one leg 2 km. Using the Pythagorean theorem, we can find the length of the other leg.
c² = a² + b²
5² = 2² + b²
21 = b²
b = √21 ≈ 4.583
Santos walked about 4.6 km east.
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PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
1 and 2 have these Options: Dont have a job OR have a job
3 has these Options: Does or Does Not
Answer:
More males have a job and more females have a job, and the final answer is does.
Step-by-step explanation:
Answer:
do not have a job for 1, 2
3) Does
( I hope this was helpful) >;D
Consider the function f(x) = x^2–4 / x-2 (a) Fill in the following table of values for f(x):
X= 1.9 1.99 1.999 1.9999 2.0001 2.001 2.01 2.1 f(x) = = 3.9 3.99 3.999 3.9999 4.0001 4.001 4.01 4.1 (b) Based on your table of values, what would you expect the limit of f(x) as x approaches 2 to be?
lim_x--> 2 x^2/4 / x-2 = ___
(c) Graph the function to see if it is consistent with your answers to parts (a) and (b). By graphing, find an interval for x near 2 such that the difference between your conjectured limit and the value of the function is less than 0.01. In other words, find a window of height 0.02 such that the graph exits the sides of the window and not the top or bottom. What is the window? ____ <= x <= ____
____ <= y <=____
(a) Given function is f(x) = x² − 4/x − 2; we have to fill the following table of values for f(x):Xf(x)1.93.931.9943.99943.999934.0014.014.91(b) Based on the table of values, the limit of f(x) as x approaches 2 is 4. (c) Graph of the given function is as follows:The limit of the given function f(x) as x approaches 2 is 4. Therefore, lim_x→2 x² − 4/x − 2 = 4.Also, the interval for x near 2 such that the difference between the conjectured limit and the value of the function is less than 0.01 is 1.995 <= x <= 2.005.What is the window? 3.99 <= y <= 4.01.
Nasim invests money in an account paying a simple interest of 1. 3% per year. If he invests $70 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?
If Nasim invests money in an account paying a simple interest of 1. 3% per year and he invests $70 and no money will be added or removed from the investment, the amount he will have in one year is 70 dollars and 91 cents
Simple interest refers to the interest that is calculated on the original amount or the principal. Simple interest is calculated by:
Interest = P * r * t
where P is the principal
r is the rate of interest (in decimal)
t is the time
Given in the question,
P = $70
r = 1.3% = 0.013
t = 1 year
Interest = 70 * 0.013 * 1
= $0.91
Amount = P + i
where P is principal
i is interest
A = 70 + 0.91
A = $70.91
The amount that Nasim has after 1 year is $70.91.
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Rachel went out for lunch. Her total for lunch came to $28.55. Rachel wants to leave the waitress a 22% tip. What will be Rachel's total including the tip?
Answer:
the answer is 6.28 her total is 34.83
Answer:
the answer is 6.28 hope it helps