What item attaches to the bowstring to improve accuracy by giving a consistent anchor point each time the bowstring is drawn?
Answer:
The item that attaches to the bowstring to improve accuracy by giving a consistent anchor point each time the bowstring is drawn is called a "release aid" or "bow release".
if y²-16y+k is a perfect square, find k
Answer:
k=64
Step-by-step explanation:
(y-x)(y-x) = y^2-16y+k
Since the k is a "+," and two negatives (hence the negative middle value) multiply to make a positive, and since 16 has to be equal to 2x, we know that x is 8. Therefore, our equation is (y-8)(y-8), which is equal to y^2-16y+64.
if your parents shop in maryland the sales tax is 6% if they buy $180 worth of groceries what is there total
You can do this problem in two ways.
Either the long way or the short and easy way.
Here is the easy way:
You do 180x1.06 to get you their total of $190.80
Or you can do the slightly longer way which finds you the tax amount which then you can add onto the total:
You do 180*0.06 which gets you $10.80 of tax. $10.80 is how much tax they have to pay on top of the $180, then we can do 180+10.80 to get us the grand total of $190.80.
Happy to help
The company also wants to offer a family size box of cereal. The family size box will be a dilation of the single serving 1.2-ounce box. It must contain 18.75 ounces of cereal. What scale factor does the company need to use for the family size box
The scale factor occurs when we extend a form and multiply each side by the same number, and the further discussion can be defined as follows:
Scale factor:Since the box is dilated by the scale factor of 4, hence the length, the width of the box will be dilated by 4 times the original length, which dilates the volume of the box by \(4^3= 64\) times the original volume
Therefore
\(1.2 \ \ O_2\) is dilated to \(64 \times 1.2 = 76.68\ \ o_2\)
Since the initial quantity of cereal was 12 ounces and the final quantity of cereal was 18.75 ounces, Therefore, the volume of the box is dilated by a scale factor of \(\frac{18.75}{1.2}\)
Hence,
Each side of the box has to be dilated by a scale factor of \((\frac{18.75}{1.2})^{\frac{1}{3}}= 2.5\)
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What is the TOTAL area of polygon
The total area is__________square centimeters.
Answer:
66
Step-by-step explanation:
Find the area of the rectangle, then add up the area of the triangle.
The area of the rectangle
= 5 × 12
= 60 cm²
The base of the triangle
= 12 - 9
= 3 cm
The height of the triangle
= 9 - 5
= 4 cm
The area of the triangle
= (3 × 4) ÷ 2
= 6 cm²
The total area of the figure
= 60 + 6
= 66 cm²
help needed!! i’m normally good with fractions but today i just can’t
Answer:
- 40/90 or -4/9
Step-by-step explanation:
the answer will be negitive b/c positive * negitive = negitive
5*8
= 40
that is the numerator
6*15
=90
that is the denominator
then add the - and the answer will be
-40/90
simplify and it is -4/9
ur welcome
What is the factored form of the expression x2+13x+42?
(x+14)(x+3)
(x+42)(x+1)
(x+21)(x+2)
(x+6)(x+7)
what is the volume of a cube with sides of 10 cm in length after removing half a spehere with a diamtere of 10 cm
The volume of the cube after removing a sphere of diameter 10cm from it = 476.67 cm³
What is the volume of a cube?Volume of a cube = \(side^{3}\) (side = side of the cube)
What is the volume of a sphere?
Volume of a sphere = \(\frac{4 \pi (radius)^{2} }{3}\) (radius = radius of the sphere)
Given:
Side of cube = 10cmDiameter of sphere = 10cm (radius = 5cm)Total volume of the cube = \(10^{3}\) = 1000 cm³
Volume of the sphere = \(\frac{4\pi (5)^{3} }{3}\) = 523.33 cm³
Volume of the cube after removing the sphere of diameter 10cm = Total volume of the cube - Volume of the sphere = 1000 - 523.33 = 476.67 cm³
Hence, the required volume of the cube = 476.67 cm³
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John's grades in Algebra are: 65, 83, and 93. What grade does John need on the final exam to get an 85
average (mean)?
Answer:
99 marks
Step-by-step explanation:
Let 'x' be the mark in final exam
Sum of all the data's/ Number of data's = Mean
\(\frac{65+83+93+x}{4}=85\\\\\\\frac{241+x}{4} = 85\)
241 + x = 85*4
241 + x = 340
x = 340 - 241
x = 99
NEED HELP FAST PLEASE!!! The perimeter of a geometric figure is the sum of the lengths of its sides. The perimeter of the pentagon (five-sided figure) on the right is 42 centimeters.
A. Write an equation for the perimeter
B. Solve the equation in part (a)
C. Find the length of each side
a. The equation of the perimeter is x + x + x + 2x + 2x = 42. Option A
b. x = 6 centimeters
c. The lengths are 6 centimeters , 6 centimeters , 6 centimeters , 12 centimeters and 12 centimeters respectively.
How to determine the perimeterIt is important to note that the formula for calculating the perimeter of a pentagon is expressed as;
Perimeter = 5a
Where: 'a' represents the length of one of its side
From the information given, we have that the perimeter of the geometrical figure is the sum of its sides.
Given the sides;
x , x , x, 2x , 2x
Now, substitute the values into the formula for perimeter
x + x + x + 2x + 2x = 42
collect like terms and add them
7x = 42
Now, make 'x' the subject of formula by dividing both sides by the coefficient of the variable 'x'
We have;
7x/7 == 42/7
x = 6 centimeters
But the length of the sides is determined by substituting the value of x as 6
x = 6 centimeters
x = 6 centimeters
x = 6 centimeters
2x = 2(6) = 12 centimeters
2x = 2(6) = 12 centimeters
Hence, the lengths are 6, 6, 6 , 12 and 12 centimeters respectively.
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hey does anyone know the answer to this equation
Answer:
it is D
UR WELCOME
Answer:
C
Step-by-step explanation:
Substitute the values of x into y and evaluate , that is
x = - 27 → y = \(\sqrt[3]{-27}\) = - 3
x = 0 → y = \(\sqrt[3]{0}\) = 0
x = 27 → y = \(\sqrt[3]{27}\) = 3
The values of y that complete the table are
- 3, 0, 3 → C
If Rosa walks 3 miles in 40 minutes, then Rosa will walk how far in 70 minutes if she walks at the same
speed the whole time? If necessary, round your answer to the nearest tenth of a mile.
miles.
Answer:
5.25 miles.
Step-by-step explanation:
1) Rosa spends 10 minutes in 3/4=0.75 miles, then
2) Rosa can spend 70 in 0.75*7=5.25 miles.
Answer:
5.3 miles
Step-by-step explanation:
3miles/40min =x miles/70min
cross multiply the fractions
3*70 = 40*x
210=40x
divide by 40 on both sides
210/40 = 5.25
2.5z=10 write and solve equations
Answer:
z = 4
Step-by-step explanation:
2.5x = 10
divide by 2.5
z = 4
Hope this helped! Have a nice day! Plz mark as brainliest!!!
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The value of ( sqrt 5 + sqrt 2 )( sqrt 5 - sqrt 2 )is: (a) 10 (b) 7 (c) 3 (d) sqrt(3
Answer:
C) 3
Step-by-step explanation:
This is just a differences of squares:
\((a+b)(a-b)=(a^2-b^2)\\\\(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})=(\sqrt{5}^2-\sqrt{2}^2)=5-2=3\)
Answer:
(c) 3
Step-by-step explanation:
\((\sqrt{5} +\sqrt{2} )(\sqrt{5} -\sqrt{2} )=(\sqrt{5} )^{2} -(\sqrt{2} )^{2} =5-2=3\)
Hope this helps
Last year, there were 380 students at Woodland Middle School. This year, the student population will increase by 5%. What will be the school’s increased student population?
A craftsman wants to build this fiddle. He needs to know the area of the face of the fiddle. How could he use the measurements shown to find the area?
The Area of Trapezium is 50, 267 mm².
We have,
base 1 = 224 mm
base 2 = 77 mm
Height = 334 mm
Now, Area of Trapezium
= 1/2 (Sum of parallel side) x height
= 1/2 (224 + 77) x 334
= 1/2 x 301 x 334
= 50, 267 mm²
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Amy has scored 77, 87, and 74 on her previous three tests. What score does she need on her next test so that her average (mean) is 76?
After scoring 77, 87, and 74 on her previous three tests, Amy needs to score 66 on her next test in order to have an average of 76.
To find the score that Amy needs on her next test to have an average of 76, we need to use the formula for the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)
We know that Amy's current scores are 77, 87, and 74, and we want her average to be 76. Let's call the score she needs on her next test "x".
So, we can plug these values into the formula:
76 = (77 + 87 + 74 + x) / 4
Now, we just need to solve for x:
76 * 4 = 77 + 87 + 74 + x
304 = 238 + x
x = 304 - 238
x = 66
So, Amy needs to score a 66 on her next test in order to have an average of 76.
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pls pls pls pls help me istg ill be your best friend and give you brianliest and all the points i can give and ill love you forvever pls pls pls pls
a. The chart did not maintain consistent scaling
b. The graph is not the appropriate graph type to display such data
c. The display had inaccurate or distorted visual representations
How do we explain?When the actual data may not support it, changing the scales on the axes might give the appearance of big changes or differences.
The visual effect of data can be exaggerated or minimized, for instance, by adopting a non-linear scale or deleting specific sections of the axis.
So it important to Choose appropriate graph type that best represents the data and the relationship you want to convey.
It also advisable to make use of clear and accurate labeling with descriptive titles and units of measurement.
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the mode of 5 numbers is 1 the median is 5 and mean is 4 find the numbers
Answer:
1+1+5+6+7
Step-by-step explanation:
The mode of this set is 1-most frequently occurring number in the set
The median is 5- the middle of the set
The mean is 4- the sum of the set is 20, divided by 5 is 4
Is the differential equation (cos x cos y + 4y)dx + (sin x sin y + 10y)dy = 0 exact? yes no
F(x,y) = y\(e^{xsiny + xy - sinx}\) + ∫sin y\(e^{xsiny + xy - sinx}\)dx is a solution to the original differential equation.
Here, we have,
This is a first-order nonlinear differential equation, which is not separable or linear. However, it is possible to use an integrating factor to solve it.
The first step is to rearrange the equation into the standard form:
(y cos x + sin y + y)dx + (sin x + x cos y + x)dy = 0
Next, we need to identify the coefficient functions of dx and dy, which are:
M(x,y) = y cos x + sin y + y
N(x,y) = sin x + x cos y + x
Now we can find the integrating factor, which is defined as a function u(x,y) that makes the equation exact. The integrating factor is given by:
u(x,y) = \(e^{(\int\,(N(x,y) - dM/dy) dy) }\)
where ∂M/∂y is the partial derivative of M with respect to y.
Evaluating this integral, we get:
u(x,y) = \(e^{xsiny + xy - sinx}\)
Multiplying both sides of the original equation by the integrating factor, we get:
(\(e^{xsiny + xy - sinx}\)) [y cos x + sin y + y])dx + (\(e^{xsiny + xy - sinx}\) [sin x + x cos y + x])dy = 0
This equation is exact, which means that there exists a function F(x,y) such that ∂F/∂x = M(x,y) and ∂F/∂y = N(x,y). We can find this function by integrating M with respect to x, while treating y as a constant, and then differentiating the result with respect to y:
F(x,y) = ∫(y cos x + sin y + y)\(e^{xsiny + xy - sinx}\)dx = y\(e^{xsiny + xy - sinx}\) + ∫sin y\(e^{xsiny + xy - sinx}\)dx
Now we can differentiate F with respect to y, while treating x as a constant, and compare the result with N:
∂F/∂y = x\(e^{xsiny + xy - sinx}\) + cos y\(e^{xsiny + xy - sinx}\) + \(e^{xsiny + xy - sinx}\)
= sin x + x cos y + x
Therefore, F(x,y) = y\(e^{xsiny + xy - sinx}\) + ∫sin y\(e^{xsiny + xy - sinx}\)dx is a solution to the original differential equation.
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complete question:
Solve (y cos x + sin y + y)dx + (sin x + x cos y + x)dy = .0
2/3 divided by -1 1/3
Answer:
- 1/2 (-0.5)
Explanation:
Reduce the expression by cancelling the common factors with division of the fractions.
Simplify : (2x3 – 3x2 – 8) – ( – 5x3 –2x2 + 7x2 – 3)
Step-by-step explanation:
(2*3-3*2-8)-(-5*3-2*2+7*2-3)
(6-6-8)-(-15-4+14-3)
(12-8)-(-15-18-3)
4-33-3
37-3
34
These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x = 7 to x = 8?
A. -50
B. -65
C. -2
D. -15
Please help!
The average rate of change for the interval from x = 7 to x = 8 will be 15. Then the correct option is D.
We have,
Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
Average rate = (y₂ - y₁) / (x₂ - x₁)
The quadratic equation with the vertex is given as
y = (x - 0)² - 1
y = x² - 1
Then the average rate of change for the interval from x = 7 to x = 8 will be
Average rate = [y(8) - y(7)] / (8 -7)
Then we have
Average rate = (64 -1 - 49 + 1) / 1
Average rate = 15
Thus, the correct option is D.
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Give all solutions of the nonlinear system of equations, including those with nonreal complex components. x2−y=03x+y=10 Solect the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an ordered pair. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Express to separate answers as needed.) B. There are infinitely many solutions C. The system is inconsistent. The solution set is ∅.
The solution set is (2, 1).
To solve the nonlinear system of equations, we can use the method of substitution or elimination. Let's use the method of substitution to find the solution.
From the first equation, we have x^2 - y = 0, which implies y = x^2.
Substituting this into the second equation, we get 3x + x^2 = 1.
Rearranging this equation, we have x^2 + 3x - 1 = 0.
Solving this quadratic equation, either by factoring, completing the square, or using the quadratic formula, we find the solutions for x:
x = (-3 ± √13) / 2.
Now, substitute these values of x back into the equation y = x^2 to find the corresponding values of y:
For x = (-3 + √13) / 2, y = [(-3 + √13) / 2]^2 = (13 - 6√13 + 9) / 4 = (22 - 6√13) / 4 = (11 - 3√13) / 2.
For x = (-3 - √13) / 2, y = [(-3 - √13) / 2]^2 = (13 + 6√13 + 9) / 4 = (22 + 6√13) / 4 = (11 + 3√13) / 2.
Therefore, the solution set is (2, 1).
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Samuel used 1 3/4 cups of dry oatmeal to make 4 servings. Which proportion could be used to calculate the amount of dry oatmeal needed to make 3 servings?
Answer:
1 3/4 / 4
x / 3
Step-by-step explanation:
The answer is about 1.31 cups.
hope this helps
The temperature is -2°C. If the temperature rises by 15°C, what is the new temperature?
Do not include units (°C) in your answer
Answer:
13
Step-by-step explanation:
-2 + 15 = 13
hope this helps...
Determine if the following are true or false: [Choose ] As n increases the t-distribution approaches the standard normal distribution. As n increases, the tails in the t- distribution become "fatter". [Choose ] [Choose ] The shape of a t-distribution depends on its degrees of freedom. [Choose ] We will always use a student'st distribution when we are given raw data to analyze, regardless if we know the population standard deviation or not. t-distributions are similar in shape to the standard normal curve. [Choose] [Choose ] We use the Student's t-distribution when we estimate the mean of a population that is normally distributed, has an unknown standard deviation, and small n.
Answer:
true i think
Step-by-step explanation:
17. What are the coordinates of Cedar Junction?
OA) (-4,5)
OB) (4,5)
OC) (-4,-5)
OD) (4,-5)
Answer:
(-4, -5)
Step-by-step explanation:
Helpppp ,I will mark you brainlist
Answer:
Okay
Step-by-step explanation:
the average daily flour consumption of the restaurant is 35 pounds, with a standard deviation of 7 pounds. the average delivery time from the supplier is 3 days, with a standard deviation of 0.5 days. she decides to order 72 pounds at a time.what is the reorder point that enables her to maintain a 95% service level?
Ginny should reorder when the inventory level reaches 116.515 pounds to maintain a 95% service level
To calculate the reorder point, we need to consider two factors: the lead time (time between ordering and receiving the delivery) and the safety stock (the extra amount of flour kept in case of unexpected demand or delay in delivery).
Using the formula: Reorder point = (Average daily usage x Lead time) + Safety stock, we can calculate the reorder point.
Here, the average daily flour consumption is 35 pounds with a standard deviation of 7 pounds, and the average delivery time from the supplier is 3 days with a standard deviation of 0.5 days. She decides to order 72 pounds at a time.
The lead time is 3 days, and the safety stock can be calculated using the service level and standard deviation of demand during lead time. Assuming a 95% service level, we can use the z-score of 1.645 (from the standard normal distribution table) to calculate the safety stock.
Safety stock = (z-score x Standard deviation of demand during lead time) = (1.645 x 7) = 11.515 pounds
Now, we can calculate the reorder point:
Reorder point = (Average daily usage x Lead time) + Safety stock = (35 x 3) + 11.515 = 116.515 pounds
Therefore, Ginny should reorder when the inventory level reaches 116.515 pounds to maintain a 95% service level. This ensures that she has enough flour to cover her daily usage and also account for any unexpected demand or delivery delays.
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