Answer: 3.03 cups
Step-by-step explanation:
First, we will find how many ounces is in one batch.
8 + 3/4 = 8 3/4 fluid ounces
Next, we will multiply this by 3 to find 3 batches.
(8 3/4) * 3 = 24 1/4 fluid ounces
Lastly, we will convert this into cups.
24 1/4 fluid ounces / 8 = 3.03 cups
Solve:
(-5) + (-18) =
A-13
B
--23
C С
23
D
13
it is -23 I think
Step-by-step explanation:
(-5)+(-18)=-23
An airplane flies due west at 185k(m)/(h) with respect to the air. There is a wind blowing at 85k(m)/(h) to the northeast relative to the ground. What is the plane's speed and direction with respect to the ground?
The plane's speed with respect to the ground is 185 km/h, and its direction is due west (270°), which is determined using vector addition.
To find the plane's speed and direction with respect to the ground, we can use vector addition. Let's break down the velocities into their respective components:
Velocity of the airplane with respect to the ground:
Magnitude = 185 km/h
Direction = due west (270°)
Velocity of the wind with respect to the ground:
Magnitude = 85 km/h
Direction = northeast (45°)
To find the resultant velocity (plane's velocity with respect to the ground), we can add the horizontal and vertical components separately:
Horizontal component: The airplane's velocity does not change in the east-west direction, so the horizontal component remains the same.
Vertical component: The wind's velocity contributes to the vertical component.
Using vector addition, we can calculate the resultant vertical component:
Resultant vertical component = Vertical component of the airplane + Vertical component of the wind
The vertical component of the airplane is 0 since it is flying due west.
Vertical component of the wind = 85 km/h * sin(45°) ≈ 60.1 km/h (northward)
The resultant velocity is the vector sum of the horizontal and vertical components. Since the airplane is flying due west, the resultant velocity is solely the horizontal component of 185 km/h. The plane's speed with respect to the ground is 185 km/h, and its direction is due west (270°).
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Help me please it’s so hard and confusing
20 since 85 percent of 20 is 17
Answer: it’s easy
here it is: 85 divide by 17!
Step-by-step explanation:
hope it helped.
1. Joelle's homework covers multiplication with powers of 10. The first question on her homework is 32.4 x 10^2.
What is the value of the expression?
2. How does the number 32.4 change when you multiply it by 10^2?
Answer:
1. 3240
2. 324×10^-1
Step-by-step explanation:
1. 32.4×10^<2
32.4×100
3240
Answer:
1.
\(32.4 \times {10}^{2} = 32.4 \times 100 = 3240\)
2. when you multiply any number has decimal point by 10 power specific number [10^N]
if N is negative move with decimal point move to left On the contrary if N is positive you must move to right
Ex :
\(22.4 \times {10}^{ - 1} = 2.24 \\ \\ \)
\(22.4 \times {10}^{} = 224\)
A quadratic graph has equation y = (x-1)(x+7)
Find the values of a, b and c.
Answer:
\(a=1,\,b=6,\,c=-7\)
Step-by-step explanation:
\(y=(x-1)(x+7)\\y=x^2+6x-7\\y=1x^2+6x-7\\\\a=1,\,b=6,\,c=-7\)
You're just getting the coefficients (and constant at the end) after expanding.
Graph the equation y=-x^(2)+12x-32 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
The graph of the equation y = -x² + 12x - 32 will have 5 plotted points including the roots and the vertex.
To graph the equation y = -x²+ 12x - 32, we need to identify the roots (where y = 0) and the vertex (maximum or minimum point).
The equation is in the form of a downward-opening parabola. To find the roots, we set y = 0 and solve for x, giving us two x-values.
We can also find the x-coordinate of the vertex by using the formula x = -b/2a. Once we have these points, we can plot them on the graph.
In total, we will have 5 plotted points including the roots and the vertex, helping us visualize the shape of the parabola.
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To graph the equation, first find its roots and vertex. Choose a range of x-values and compute their corresponding y-values based on the equation. Plot these on a two-dimensional data plot to represent the quadratic relationship.
Explanation:We are asked to graph the equation y=-x^(2)+12x-32. To find the roots of this quadratic equation, we set y to zero and solve the equation. The solutions are the x-values where the graph intersects the x-axis (roots). We can find the vertex (the highest or lowest point on a parabola) by using the formula -b/2a to derive the x-coordinate and then substituting this x-value in the equation to derive the y-coordinate. Likewise, to generate other data pairs for plotting, we select a range of x-values and compute their corresponding y-values based on the equation. It's worth noting that the graph of a quadratic equation produces a curve called a parabola which opens up when a<0, and opens down when a>0. The two-dimensional data plot or graph representing y versus x therefore helps to visualize the quadratic relationship in physical terms.
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Pls help, mathmatics 50 points
The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106
What is a rectangle and its Properties ?A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.
Rectangles' essential characteristics are as follows:
A rectangle is a parallelogram.
Each inner angle is equal to 90 degrees and the opposite sides are parallel and equal to one another.360 degrees is the total of all interior angles.The diagonals cut each other in half, and both of them are equal in length.The perimeter of a rectangle with side lengths a and b is equal to 2a+2b units.The Perimeter of the rectangle is 2a + 2b where a and b are the two sides
Now , if w is the width of the rectangle then, the length is 4w given in problem.
Perimeter,
2w + 2* 4w
As it is given in the problem
2w + 2* 4w ≤ 106
The first model of inequality satisfy the problem.
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Solve Eq. 7.5 and Eq. 7.6 ( 2 equations with 2 unknowns) for v1 in terms of: m,M,g,h. (20 pts) mv1=(m+M)V2(Eq.7.5)21(m+M)V22=(m+M)gh(Eq.7.6) 6. You shoot a ball, m=50.0 g, into a catcher, M=200.0 g, the center of mass rises 15.0 cm. Calculate vi. Refer to your answer for Question 5.
The initial velocity (vi) of the ball, when shot into the catcher, is approximately 367.5 m/s.
To solve Eq. 7.5 and Eq. 7.6 for v1 in terms of m, M, g, and h, we will substitute the given values of m, M, and h into the equations.
Eq. 7.5: mv1 = (m+M)V2
Eq. 7.6: (m+M)V22 = (m+M)gh
Given:
m = 50.0 g (mass of the ball)
M = 200.0 g (mass of the catcher)
h = 15.0 cm (rise in the center of mass)
First, let's solve Eq. 7.6 for V2 by dividing both sides by (m+M):
V22 = gh
Next, substitute the expression for V2 into Eq. 7.5:
mv1 = (m+M)(gh)
Now, solve for v1 by dividing both sides by m:
v1 = (m+M)(gh) / m
Substituting the given values:
v1 = (50.0 g + 200.0 g)(9.8 m/s²)(0.15 m) / (50.0 g)
Calculating the expression:
v1 = (250.0 g)(9.8 m/s²)(0.15 m) / (50.0 g)
v1 = 367.5 m/s
Therefore, the initial velocity (vi) of the ball, when shot into the catcher, is approximately 367.5 m/s.
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The price of technology stock has risen $9.62 today yesterday's price was $9.53 find the percentage increase round your answer to the nearest 10th of a percent
Answer:
0.9%
Step-by-step explanation:
To find the percentage increase, you can use the following formula:
Percentage change= ((Final price-Initial price)/Initial price)*100
Initial price= $9.53
Final price= $9.62
Variation= ((9.62-9.53)/9.53)*100
Variation= 0.9%
According to this, the percentage increase is 0.9%.
In simple interest, a principle of money doubles itself in 10 years. Find the number of years it will take to triple itself.
Help me pls
Answer: 20 years
Step-by-step explanation:
Let M be the sum of money invested.
Given Sum of money doubles itself in 10 years.
Then, M will become 2M in 10 years.
Now we can calculate interest for ten years as given below.
From the above calculation, M is the interest for the first 10 years.
In simple interest, interest earned will be the same every year.
So, interest earned in the next 10 years also will be M.
So it will take 20 years.
Thank you if you can give me a brainliest.
Please Help it’s urgent
Answer:
<LKH and <JKM
Step-by-step explanation:
<LKH and <JKM are vertical angles because they are vertically opposite.
[2P-3.) ^2+(2P+3)^2
Answer:
[2P-3.) ^2+(2P+3)^2[2P-3.) ^2+(2P+3)^2[2P-3.) ^2+(2P+3)^2
100 points my guys
what is the defenition ofmean , medium and mode
Which one would this be on here
Answer:
the second one!
=
Step-by-step explanation:
Find Side AB and round to the nearest tenth of a decimal
Answer:
AB = 8.0
Step-by-step explanation:
Law of Sines
AB/sin53 = 7/sin44
multiply both sides by sin53
AB = 7/sin44 * sin53
use calculator
AB = 8.047766798861355
Rounded
AB = 8.0
if the cycle time is 2 minutes/customer then how many customers are served per hour? multiple choice question. 15 20 30 60
If the cycle time is 2 minutes per customer, 30 customers can be served per hour.
The given cycle time is 2 minutes per customer. To calculate how many customers can be served per hour, we need to calculate the number of minutes in an hour as follows: 60 minutes = 1 hour.
The time taken for each customer is 2 minutes. Therefore, the number of customers that can be served per hour can be calculated as follows:
Number of customers per hour = (60 minutes/hour) ÷ (2 minutes/customer)
Number of customers per hour = 30 customers.
Therefore, the number of customers that can be served per hour is 30, according to the given cycle time of 2 minutes per customer.
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there are six basketball players in this experiment. each player attempts a free throw. is it appropriate to use the binomial probability distribution to find the probability that out of six free throws there will be exactly 3 successful free throws made? yes. the trials are independent, identical, have only two outcomes, have the same p(success), and the number of trials is fixed. no. the trials are not independent. no. the trials have more than two outcomes. no. the trials do not have the same p(success). no. the trials are not identical. no. the number of trials is not fixed. if the answer is yes, give the values of n, r, and p. if the answer is no, type n/a in the answer boxes. n
The correct option is: Yes, it is appropriate to use the binomial probability distribution to find the probability that out of six free throws there will be exactly 3 successful free throws made.The values for the binomial distribution are as follows: n = 6 , r = 3 , p = probability
The trials are independent, identical, have only two outcomes (successful or unsuccessful), have the same probability of success, and the number of trials is fixed.
When determining if it is appropriate to use the binomial probability distribution, we consider several conditions:
1. Independence: The trials should be independent of each other. In this case, each player attempting a free throw can be considered an independent trial since one player's success or failure does not influence another player's outcome.
2. Identical Trials: The trials should be identical, meaning they have the same probability of success and the same conditions. In this scenario, each player attempts a free throw under similar conditions, making the trials identical.
3. Two Outcomes: The trials should have only two possible outcomes, such as success or failure. In this experiment, each player either successfully makes a free throw or fails to do so, satisfying the two-outcome condition.
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What is the complete factorization of the polynomial below?
O A. (x+2)(x+)(**)
OB. (x-2)(x+)(x-)
C. (x-2)(x+)(x+1)
OD. (x+2)(x+1)(x-1)
The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)
What is an equation?
An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
A polynomial is an expression consisting of coefficients and variables forming an equation.
Given the polynomial:
x³ + 2x² -x - 2
Factorizing:
= (x + 2)(x² - 1)
= (x + 2)(x + 1)(x - 1)
The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)
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Do you know the answer~?
then please help me!!!!!!!!!!!!!!
The amount of Chemical B needed is 1.6 g.
what is graph?This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.
The quantity of Chemical B is plotted against the quantity of Chemical A.
Chemical B is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.
Therefore, on the graph, the line passing through the origin of the graph shows that when 1.4 g of Chemical A is used 1.6 g of Chemical B is needed.
Calculations:Chemical B is plotted on the vertical axis using the scale of 1 cm to represent 2 units.
To get the amount of Chemical B is on vertical axis = 2 grams
5 boxes
=0.4 g
Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).
To get the amount of Chemical B is on vertical axis = amount of Chemical B per box * the number of line (boxes).
To get the amount of Chemical B is on vertical axis = 0.4 g * 4 lines (boxes)
= 1.6 g
Hence The amount of Chemical B needed is 1.6 g.
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what is the answer to \(\frac{\sqrt{60}}{\sqrt{3}}\)
Answer:81
Step-by-step explanation:
9 x 9 = 81
i will give u brianliest! pls help
This table represents Mindy's check register. Her checking account had a balance of $647.60 on November 20.
Use the information in the check register to determine the balance of Mindy's checking account after the transaction on December 10.
Enter your answer in the box.
Answer:
910.94
i got it right
A 17.0-m-high and 11.0-m-long wall and its bracing under construction are shown in the figure. 17.0m 8.5 m 10 braces Calculate the force, in newtons, exerted by each of the 10 braces if a strong wind exerts a horizontal force of 645 N on each square meter of the wall. Assume that the net force from the wind acts at a height halfway up the wall and that all braces exert equal forces parallel to their lengths. Neglect the thickness of the wall. Grade Summary sin o cos tan o a tan a cotan sin h cos h tan h cotan h Degrees O Radians V
Therefore, each of the 10 braces exerts a force of approximately 6035.25 N.
To calculate the force exerted by each of the 10 braces, we need to consider the horizontal force exerted by the wind and the geometry of the wall and bracing.
Given:
Height of the wall (h) = 17.0 m
Length of the wall (l) = 11.0 m
Number of braces (n) = 10
Horizontal force exerted by the wind (F_w) = 645 N/m^2
First, let's calculate the total area of the wall:
Wall area (A) = h * l = 17.0 m * 11.0 m = 187.0 m^2
Since the net force from the wind acts at a height halfway up the wall, we can consider the force acting on the top half of the wall:
Force on the top half of the wall (F_t) = F_w * (A/2) = 645 N/m^2 * (187.0 m^2 / 2) = 60352.5 N
Next, let's calculate the force exerted by each brace:
Force exerted by each brace (F_brace) = F_t / n = 60352.5 N / 10 = 6035.25 N
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A can of paint claims that one can will
cover 400 square feet. If you painted
a square with the can of paint how
long would it be on each side?
A 200 feet
C 25 feet
B 65 feet
D 20 feet
Answer: D. 20ft
Step-by-step explanation:
Answer:
The answer would be 20 feet.
Step-by-step explanation:
This is because square feet is referring to the area. And since the area = L * W and since the sides of the square are identical. It would be 20*20=400.
Jacobi wants to install an underground sprinkler system in her backyard the backyard is rectangular with side length 17 m and 26 m .the water pipe will run diagonally across the yard about how many metres of water pipe does Jacobi need .
The length of the pipe required would be 31.06 meters
The length of the pipe is the hypotenus of the triangle formed :
hypotenus = √opposite² + adjacent²substituting the values into our equation:
length of pipe = √17² + 26²
length of pipe = √965 = 31.06
Therefore, the length of the pipe needed is 31.06 meters
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Suppose y=c1cos(kx)+c2sin(kx) where k>0 is a constant, and c1 and c2 are arbitrary constants. Find the following. Enter c1 as c1 and c2 as c2. a. dy/dx= b. d^2y/dx^2= c. Rewrite your answer to the previous part in terms of y. d. Use your previous answers to find a non-zero solution to d^2y/dx^2=−25y. Enter your answer as an equation y=f(x) and give as general a solution as you can, including any constants c1 and c2 .
The general solution to d^2y/dx^2 = -25y is:
y = c1cos(5x) + c2sin(5x), where c1 and c2 are arbitrary constants.
a. To find the derivative of y = c1cos(kx) + c2sin(kx) with respect to x, we apply the chain rule:
dy/dx = -c1ksin(kx) + c2kcos(kx)
b. Taking the derivative of the expression obtained in part (a) with respect to x, we have:
d^2y/dx^2 = -c1k^2cos(kx) - c2k^2sin(kx)
c. In terms of y, we can rewrite the answer from part (b) as:
d^2y/dx^2 = -k^2y
d. The differential equation d^2y/dx^2 = -25y is in the same form as the equation from part (c). By comparing the two equations, we can see that k^2 = 25, which implies k = ±5.
For k = 5, the general solution is:
y = c1cos(5x) + c2sin(5x)
For k = -5, the general solution is:
y = c1cos(-5x) + c2sin(-5x) = c1cos(5x) - c2sin(5x)
Combining the two solutions, the general solution to d^2y/dx^2 = -25y is:
y = c1cos(5x) + c2sin(5x), where c1 and c2 are arbitrary constants.
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
How do you write 2.745 in words?
If each shelf can hold at most 20 books, what is the least number of shelves needed to store the 175 books?
Answer- 9 shelves
In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.
HOPE THIS HELPS & GOOD LUCK!
Mrs. Williams is cleaning her classroom. While cleaning, she found 771 Legos out of a pack of 1,000. How many Legos does she have left to find?
Answer:
229
Step-by-step explanation: do 1000-771 and u get the answer
Answer:
229
Step-by-step explanation:
To find how many are left, do the total minus the amount found:
1000 - 771 = 229