Answer:
31.4
Step-by-step explanation:
3.14 × radius² × height = volume of cylinder
3.14 × 2² × 2.5 = 31.4
The area of a triangle is 169 square meters. The base of the triangle is twice the height. Find the base and height.
I would like the answer and how to get it (show work).
Thanks!
Answer:
The base of the triangle has a length of 26 meters, and the height of the triangle has a length of 13 meters.
Step-by-step explanation:
Equation to find the height: \(\frac{2x*x}{2} = 169\) ⇒ \(x^2=169\) ⇒ \(x=13\) meters.
Reconsider the Wyndor Glass Co. case study introduced in Section 2.1/ in class. Suppose that the estimates of the unit profits for the two new products now have been revised to $485 for the doors and $365 for the windows. (The number of the products is required to be integer.) a. Formulate this same model algebraically. (Please clearly define all the decision variables, clearly write down the objective function and each constraints) b. Formulate and solve the revised linear programming model for this problem on a spreadsheet
The revised linear programming model for the Wyndor Glass Co. case study includes decision variables for the number of doors and windows produced, with revised unit profit values of $485 for doors and $365 for windows.
a. Decision Variables:
Let x1 be the number of doors produced.
Let x2 be the number of windows produced.
Objective Function:
Maximize Z = 485x1 + 365x2 (Total profit)
Constraints:
1. Glass Cutting Constraint: 2x1 + x2 ≤ 200 (Glass availability)
2. Assembly Constraint: x1 + x2 ≤ 320 (Assembly capacity)
3. Finishing Constraint: x1 + x2 ≤ 280 (Finishing capacity)
Non-negativity Constraints:
x1, x2 ≥ 0
b. To solve the revised linear programming model on a spreadsheet
1. Open a spreadsheet software .
2. Create a table with the following columns: Decision Variables (x1 and x2), Objective Coefficients (485 and 365), and Constraints (Glass Cutting, Assembly, and Finishing).
3. Enter the objective coefficients in the Objective Coefficients column.
4. Enter the constraint coefficients in the respective Constraint columns.
5. Enter the constraint limits in a separate row below the constraint coefficients.
6. Add a row for the total profit (Z) and enter the objective coefficients multiplied by the decision variables.
7. Use the Solver tool (usually available in the Data or Add-ons menu) to set up and solve the linear programming problem.
8. Set the objective to maximize the total profit (Z).
9. Add the constraint equations and limits.
10. Set the decision variable cells as non-negative.
11. Click on the Slove button to obtain the optimal values for x1 and x2, as well as the maximum total profit.
12. Interpret the results and make business decisions accordingly.
By following these steps, you can use a spreadsheet to formulate and solve the revised linear programming model for the Wyndor Glass Co. case study.
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GET 70 POINTS FOR ANSWERING THIS RIGHT AWAY
Simplify: 4(5y+9)
∑ Hey, irisraya1 ⊃
Answer:
20y + 36
Step-by-step explanation:
GIven:
Simplify: 4(5y+9)
Solution:
Applying the distributive Law : \(a\left(b+c\right)=ab+ac\)
Thus, we get: \(4\left(5y+9\right)=4\cdot \:5y+4\cdot \:9\)
\(=4\cdot \:5y+4\cdot \:9\)
\(=20y+36\)
xcookiex12
8/22/2022
find the inverse of h(x)= -x^5+2 step by step
Hi there!
\(\large\boxed{y = \sqrt[5]{-(x-2)}}\)
\(h(x) = -x^{5} + 2\)
Rewrite h(x) as y:
\(y = -x^5 + 2\)
Switch the x and y variables:
\(x = -y^{5} + 2\)
Isolate y by subtracting 2 from both sides:
\(x - 2 = -y^5\)
Multiply both sides by -1:
\(-(x-2) = y^5\)
Take the 5th root of both sides:
\(y = \sqrt[5]{-(x-2)}\)
The function f(x) is given by the set of ordered pairs. Which is true regarding the function? {(8, -3), (0, 4), (1, -5), (2, -1), (-6, 10)}
f(-3) = 8
f(3) = 5
f(8) = 0
f(-6) = 10
Answer:
f(–6) = 10
Step-by-step explanation:
EDGE
f(-6)=10 is the true option regarding the function.
What is a function?The function is a relationship between a set of inputs with a set of outputs such that one input cannot have two outputs.
General form of a function is f(x)=y
The ordered pairs (x,y) or (x,f(x)) represent the graphical points of a function in the coordinate plane.
How to solve the problem?The given function is given by the set of ordered pairs
(x,y)={(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}
Clearly f(-6)=10 is the only correct option.
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A baby elephant that is 4 ft tall casts a
shadow that is 10 ft long. Find the length
of the shadow that a 6 ft woman casts.
Answer:
15 ft
Step-by-step explanation:
10/4
=2.5
6*2.5
=15 ft
PLS GIVE BRAINLIEST
-8÷+12×9-4×6÷56÷7×2
Answer:
\( \frac{ - 300}{49} \)
or -6.122
Step-by-step explanation:
In answering this kind of questions, you must take note of BODMAS. that is;
B - Bracket
O - Of (multiplication)
D - Division
M - Multiplication
A - Addition
S - Subtraction
and you have to answer by the order above to get the correct answer. thank you
hope it helps .
Answer:
-6 176/189
Step-by-step explanation:
-8÷+12×9-4×6÷56÷7×2=
-8÷108- 24÷56÷14=
-2/27-24×14÷56=
-2/27- 48/7=
-7 + 1/7- 2/27=
-7 + (27-14)/27*7=
-7+ 13/189=
-6 176/189
COULD SOMEONE HALP MEH PLS!?!?
I’ll give brainliest! =-=
Answer:
its clearly 74
Step-by-step explanation:
are you gay or sum
Answer: g 26
Step-by-step explanation: 100-48= 52
52/2=26
Identify the lateral area and the surface area of a right rectangular prism with a 12cm by 10cm base and height 16cm.
Answer:
944 cm²
Step-by-step explanation:
get the area of each side: 12*10+10*16+12*16= 472
2 sets of each side: 944
if the probability that a baby born in a certain hospital will speak in the next day is $1/4$, what is the probability that at least $2$ babies out of a cluster of $5$ babies will speak tomorrow?
The probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow is 47/128.
To calculate the probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow, we can use the binomial probability formula. The binomial probability formula is given by:
P(X ≥ k) = 1 - P(X < k) = 1 - ∑(i=k-1)^(n) [C(n, i) * p^i * (1-p)^(n-i)]
Where:
P(X ≥ k) is the probability that X is greater than or equal to k
P(X < k) is the probability that X is less than k
n is the number of trials (number of babies in the cluster) = 5
p is the probability of success (probability that a baby speaks) = 1/4
k is the number of successes we are interested in (at least 2 babies speaking)
Let's calculate the probability using this formula:
P(X ≥ 2) = 1 - P(X < 2) = 1 - [P(X = 0) + P(X = 1)]
P(X = 0) = C(5, 0) * (1/4)^0 * (3/4)^(5-0) = 1 * 1 * (3/4)^5 = 243/1024
P(X = 1) = C(5, 1) * (1/4)^1 * (3/4)^(5-1) = 5 * (1/4) * (3/4)^4 = 405/1024
P(X ≥ 2) = 1 - (243/1024 + 405/1024) = 376/1024 = 47/128
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what is the height of the tower?
Answer:
| AD | ≈ 48 m
Step-by-step explanation:
these 3 points are on a parabola defining the edge of a ski: (-4,1) (-2,0.94) (0,1) the general form for the equation of a parabola is .
The equation of the parabola that defines the edge of the ski is y = 0.015x^2 + 0.06x + 1.
The general form for the equation of a parabola is y = ax^2 + bx + c. To find the equation of the parabola that defines the edge of the ski, we can substitute the given points into this equation.
Using the first point (-4,1):
1 = a(-4)^2 + b(-4) + c
Using the second point (-2,0.94):
0.94 = a(-2)^2 + b(-2) + c
Using the third point (0,1):
1 = a(0)^2 + b(0) + c
Simplifying these equations, we get a system of linear equations:
16a - 4b + c = 1 (Equation 1)
4a - 2b + c = 0.94 (Equation 2)
c = 1 (Equation 3)
To solve this system, we can use the method of substitution. Substituting Equation 3 into Equations 1 and 2, we get:
16a - 4b + 1 = 1 (Equation 4)
4a - 2b + 1 = 0.94 (Equation 5)
Simplifying Equations 4 and 5, we get:
16a - 4b = 0 (Equation 6)
4a - 2b = -0.06 (Equation 7)
Multiplying Equation 7 by 4, we get:
16a - 8b = -0.24 (Equation 8)
Subtracting Equation 6 from Equation 8, we eliminate the variable a:
16a - 8b - (16a - 4b) = -0.24 - 0
-4b = -0.24
Solving for b, we find b = 0.06.
Substituting the value of b into Equation 6, we find:
16a - 4(0.06) = 0
16a - 0.24 = 0
16a = 0.24
a = 0.015
Finally, substituting the values of a and b into Equation 3, we find:
c = 1
Therefore, the equation of the parabola that defines the edge of the ski is y = 0.015x^2 + 0.06x + 1.
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i’ll mark you brainliest
5,819×85. Her work is shown below.
Answer:
494,615
Step-by-step explanation:
Strategy 1.
Line up 5,819 on the top, and 85 on the bottom. Multiply 9 x 5, and if there are any carry-ons, put them above the top line of numbers. Once done with multiplying the top by 5, go under the line and write a 0. Then continue to multiple with 8, in the same way. Then add the top and bottom line (your answers), and you should get 494,615.
Strategy 2.
Use a calculator.
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
Please solve the following in EXCEL NOT TYPED. Please show all work/formulas in excel, I will upvote! Thank you for your help! If a 24-year $10,000 par bond with a zero coupon, a 10% yield to maturity. If the yield to maturity remains unchanged, the expected market price for this bond is:
961.42
1,015.98
10,000
2,250.63
3,200.80
The expected market price for the bond is $2,250.63.
To calculate the expected market price for the bond, we can use the present value formula in Excel.
Assuming that the yield to maturity is an annual rate, we can calculate the expected market price using the following formula in Excel:
=PV(rate, nper, pmt, fv)
where:
rate: Yield to maturity per period (10%)
nper: Number of periods (24)
pmt: Coupon payment per period (0, since it's a zero-coupon bond)
fv: Face value (par value) of the bond ($10,000)
Here's how you can enter the formula and calculate the expected market price in Excel:
1. In cell A1, enter the label "Yield to Maturity".
2. In cell A2, enter the yield to maturity as a decimal value (0.10).
3. In cell B1, enter the label "Number of Periods".
4. In cell B2, enter the number of periods (24).
5. In cell C1, enter the label "Coupon Payment".
6. In cell C2, enter the coupon payment amount (0, since it's a zero-coupon bond).
7. In cell D1, enter the label "Face Value".
8. In cell D2, enter the face value of the bond ($10,000).
9. In cell E1, enter the label "Expected Market Price".
10. In cell E2, enter the following formula: =PV\(($A$2, $B$2, $C$2, $D$2).\)
Excel will calculate the expected market price based on the formula. The result will be displayed in cell E2.
The correct answer is: $2,250.63 (Option D).
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which set of ordered pairs does not represent a function
a. {(0,0),(1,1),(2,2),(3,3)
b.{(0,0),(1,1),(1,2),(1,3)
c.{(1,0),(2,0),(3,0),(4,0)
d.{(1,0),(1,2),(2,3),(3,4)
Answer: i think C
Step-by-step explanation: Well the X Value would have to change because if you graphed it it would be a straight line going up which wouldnt pass a through a vertical line.
Rewrite in simplest terms: 2(-4c-3)+6(10c+5)2(−4c−3)+6(10c+5)
Answer:
-480c^2 -548c - 156
Step-by-step explanation:
2(-4c-3)+6(10c+5)2(−4c−3)+6(10c+5)
-8c -6 + (60c + 30) (-8c -6) + 60c + 30
-8c -6 -480c^2 - 360c - 240c - 180 + 60c + 30
-480c^2 -548c - 156
So, the answer is -480c^2 -548c - 156
If you can, please give me a Brainliest; thank you!
Simply the expression \(\frac{x-7}{3} - \frac{5-x}{2}\)
Answer: \(\frac{5x-29}{6}\)
Step-by-step explanation:
To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.
\(\frac{2(x-7)}{6} -\frac{3(5-x)}{6}\)
Now that the fractions have the same denominator, we can distribute the numerator and subtract.
\(\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}\)
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Which equation can be used to find the unknown length, b, in this triangle?
5 in.
4 in
=
O 42+ b2 = 52
O 42-62 = 52
O 52 +42 – 52
Answer:
this question isn't quite clear, is the diagram of the triangle necessary for me to answer this question ?
Step-by-step explanation:
but by simple analysis,
since the "unknown" is b
option (a) which is 42 + b2 = 52 is the best equation.
because we are looking for the value of "b", therefore there should be letter "b" in equation we're going to use. hope you understand...
Hope this helps .
Please help me, I'm struggling with this question
\(\underline{\boxed{\tt{\red{\:Solution}}}}\)
Given:-
f(x) = x²Evaluation:-
e).
==> f(x) = x²
So,
==> f(3x) = (3x)² = 9x²
f).
==> f(x/2) = (x/2)² = x²/4
g).
==> 3f(x) = 3x²
h).
==> 2f(x-1)+5 = 2(x-1)²+5 = 2(x² + 1 - 2x ) + 5
= 5x² + 5 - 10x + 5
= 5x² - 10x + 10
suppose that we have defined a class called point that contains only two public instance variables, int x and int y. consider the following snippet of java code:
you can create instances of the Point class and manipulate the x and y values. For instance, you can initialize two Point objects and compute their distance using integer arithmetic
In the context you've provided, the Point class contains two public instance variables, int x and int y, which represent the x and y coordinates of a point in a 2D space. Here's a simple example of the class:
```java
public class Point {
public int x;
public int y;
}
```
In your Java code, you can create instances of the Point class and manipulate the x and y values. For instance, you can initialize two Point objects and compute their distance using integer arithmetic. Here's a sample code snippet:
```java
public class Main {
public static void main(String[] args) {
Point point1 = new Point();
Point point2 = new Point();
point1.x = 3;
point1.y = 4;
point2.x = 6;
point2.y = 8;
int distanceX = Math.abs(point1.x - point2.x);
int distanceY = Math.abs(point1.y - point2.y);
double distance = Math.sqrt(distanceX * distanceX + distanceY * distanceY);
System.out.println("The distance between the two points is: " + distance);
}
}
```
In this example, we create two Point instances, point1 and point2, and assign values to their x and y coordinates. Then, we calculate the distances between the x and y coordinates and use the Pythagorean theorem to find the distance between the two points.
Remember that when working with integers in Java, any division operation will result in truncation of the decimal part
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Identify the parent function.
Answer: D) Absolute Value
Step-by-step explanation:
From the graph, we can see that the function is the absolute value.
From the graph, we need to identify the type of parent function.
What is parent function?In mathematics, a parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.
From the graph, we can see that the function is the absolute value.
An axis of symmetry of the graph of a function is a vertical line that divides the graph into mirror images. An absolute value graph has one axis of symmetry that passes through the vertex. The absolute value function is defined by f (x) = |x|. This is the absolute value parent function.
Therefore, from the graph, we can see that the function is the absolute value
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Which of the following equations could be used to solve the given equation?
9x + 26 + 7x - 17 = 2x + (-3x) + 5x
16x + 9 = 0
16x + 11 = 4x
16x + 9 = 4x
Answer:
16x+9=4x would be correct
There are five green apples and nine red apples in a basket  what is the ratio of green apples to all apples in the basket ??? what is the ratio of red apples to all apples in the basket ??
The ratio of green apples to all apples in the basket is 5:14 and the ratio of red apples to all apples in the basket is 9:14.
According to the question,
We have the following information:
There are five green apples and nine red apples in a basket.
Now, total apples in the basket are (5+9) which is 14.
Now, the ratio of green apples to all apples in the basket:
Number of green apples : total apples in the basket
5:14
Now, the ratio of red apples to all apples in the basket:
Number of red apples : total apples in the basket
9:14
Hence, the ratio of green apples to all apples in the basket is 5:14 and the ratio of red apples to all apples in the basket is 9:14.
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2(x - 2.6) + 2.91 = 7.71
I'll show a step-by-step. I'm not in the mood to explain right now lol.
2(x-2.6)+2.91=7.71
2x-5.2+2.91=7.71
+5.20 +5.20
2x+2.91=12.91
-2.91 -2.91
2x=10
/2 /2
x=5
---
hope it helps
sorry if it doesn't
An airplane travels due east 75 miles and then due north 65 miles. How far is the airplane from its starting point? Round to the nearest hundredth of a mile.
I will mark brainliest
Answer:
99.25 milesStep-by-step explanation:
The straight line from the starting point forms a hypotenuse of the right triangle with the legs 75 and 65 miles. Use Pythagorean.
The distance is:
\(\sqrt{75^2+65^2} = \sqrt{9850} = 99.25\) miles (rounded)Using Pythagorean theorem
\(\\ \rm\longmapsto H^2=P^2+B^2\)
\(\\ \rm\longmapsto H^2=75^2+65^2\)
\(\\ \rm\longmapsto H^2=9850\)
\(\\ \rm\longmapsto H=\sqrt{9850}\)
\(\\ \rm\longmapsto H=99.247\)
\(\\ \rm\longmapsto H=99.25miles\)
how to find the turning point of a polynomial function?
the turning point(s) of a polynomial function by using below steps
To find the turning point of a polynomial function, follow these steps:
1. Determine the degree of the polynomial. The turning point will occur in a polynomial of odd degree (1, 3, 5, etc.) or at most one turning point in a polynomial of even degree (2, 4, 6, etc.).
2. Write the polynomial function in the form f(x) = axⁿ + bxⁿ⁻¹ + ... + cx + d, where n represents the degree of the polynomial and a, b, c, d, etc., are coefficients.
3. Find the derivative of the polynomial function, f'(x), by differentiating each term of the function with respect to x. This will give you a new function that represents the slope of the original polynomial function at any given point.
4. Set f'(x) equal to zero and solve for x to find the x-coordinate(s) of the turning point(s). These are the values where the slope of the polynomial function is zero, indicating a potential turning point.
5. Substitute the x-coordinate(s) obtained in step 4 into the original polynomial function, f(x), to find the corresponding y-coordinate(s) of the turning point(s).
6. The turning point(s) of the polynomial function is given by the coordinates (x, y), where x is the x-coordinate(s) found in step 4 and y is the y-coordinate(s) found in step 5.
By following these steps, you can find the turning point(s) of a polynomial function.
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The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test.
The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test. This test measures the time it takes for blood to clot and is used to assess the functioning of the clotting factors in the blood. It is commonly used to evaluate the extrinsic pathway of the coagulation cascade, which involves factors outside of the blood vessels.
The PT test is an important diagnostic tool in hematology and is used to diagnose or monitor conditions that affect blood clotting, such as bleeding disorders or the effectiveness of anticoagulant medications. By measuring the PT, healthcare professionals can determine if there are any abnormalities in the coagulation process and make appropriate treatment decisions.
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2 A motorcycle can go 1/4 of a mile on 1/168 of a gallon of
gas. How far can the motorcycle go on 3 gallons of gas?
Answer:
Multiply 1/4*3= 3/4. So a motorcycle can go 3/4 of a mile on 3 gallons of gas
Step-by-step explanation: Hope this helps!!, Mark me Brainliest, :)))
you intend to conduct a test of homogeneity for a contingency table with 8 categories in the column variable and 2 categories in the row variable. you collect data from 447 subjects. what are the degrees of freedom for the distribution for this test?
The degree of freedom for the distribution in this test of homogeneity is 7.
For the degrees of freedom for the test of homogeneity for a contingency table, we use the formula:
df = (number of rows - 1) × (number of columns - 1)
In this case, the contingency table has 2 categories in the row variable and 8 categories in the column variable. Therefore, the number of rows is 2, and the number of columns is 8.
Substituting these values into the formula, we get
df = (2 - 1) × (8 - 1)
df = 1 × 7
df = 7
Therefore, the degree of freedom for the distribution in this test of homogeneity is 7.
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