Answers
Related Questions
Find the area of the polygon.
Answers
Answer:
Area = 15 square cm
Step-by-step explanation:
\(Area = base \times height\\\\\)
\(= 5 \times 3\\= 15 \ cm^2\)
area =15cm²
Answer:
Solution given:
Area of a given polygon [parallelogram]=
base*height=5*3=15cm²
Find the missing integer that makes the statement true.
____+(-3) = 2
Answers
Explanation:
Think of the problem as x-3 = 2 where x is the blank that we need to fill in.
Adding on -3 is the same as subtracting 3, so that's why x+(-3) is the same as x-3.
To solve x-3 = 2, we add 3 to both sides and we'll get x = 5
Then note how 5-3 = 2 to help confirm the answer.
Answer:
5
Step-by-step explanation:
5 + (-3) = 5 - 3
Sketch a right triangle corresponding to the trigonometric function of the acute angle θ. Then find the exact values of the other five trigonometric functions of θ.
tan(θ) = 7/8
Answers
The other five trigonometric functions of θ can be found using the following relationships:
* sin(θ) = opposite/hypotenuse = 7/√(8^2 + 7^2) = 7/√113
* cos(θ) = adjacent/hypotenuse = 8/√113
* csc(θ) = 1/sin(θ) = √113/7
* sec(θ) = 1/cos(θ) = √113/8
* cot(θ) = 1/tan(θ) = 8/7
The given angle θ is acute, so the values of all six trigonometric functions are positive. The opposite side is 7 and the adjacent side is 8, so the hypotenuse is √(8^2 + 7^2) = √113. The other five trigonometric functions can be found using the above relationships.
**The code to calculate the above:**
```python
import math
def trigonometric_functions(t):
"""Returns the six trigonometric functions of the given angle."""
sin = math.sin(t)
cos = math.cos(t)
tan = math.tan(t)
csc = 1 / sin
sec = 1 / cos
cot = 1 / tan
return sin, cos, tan, csc, sec, cot
t = math.radians(30)
sin, cos, tan, csc, sec, cot = trigonometric_functions(t)
print("sin(θ) = ", sin)
print("cos(θ) = ", cos)
print("tan(θ) = ", tan)
print("csc(θ) = ", csc)
print("sec(θ) = ", sec)
print("cot(θ) = ", cot)
```
This code will print the values of the six trigonometric functions of t=30 degrees.
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The sum of two numbers is 892. One of the numbers is 363. What is the other number?
Answers
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
Answer:
229
Step-by-step explanation:
363 -892=229
229+363=892
Sergio wants to hand a 40 1/2 inch by 28 2/3 inch canvas painting on a wall in his room. The width of the wall is 15 2/3 feet. The height of the wall is 3/4 the width of the wall. a. What is the area of the wall? b. How much of the wall will be uncovered after Sergio hangs the painting?
Answers
The most appropriate choice for area of rectangle will be given by-
a) Area of the wall = \(26508\) \(in^2\)
b) Area of wall left uncovered = \(25347\) \(in^2\)
What is area of rectangle?
Area of rectangle is the total space taken by the rectangle. If l is the length of the rectangle and b is the breadth of the rectangle, then area of the rectangle is given by
Area = \(l \times b\)
Here,
Width of the wall = \(15\frac {2}{3}\) feet = \(\frac{47}{3}\) feet
Height of the wall = \(\frac{3}{4} \times \frac{47}{3}\) feet
= \(\frac{47}{4}\) feet
a) Area of the wall = \(\frac{47}{3} \times \frac{47}{4}\) \(ft^2\)
=\(\frac{2209}{12} \times 12 \times 12\) \(in^2\)
= \(26508\) \(in^2\)
b) Length of painting = \(40 \frac{1}{2}\) in = \(\frac{81}{2}\) in
Breadth of painting = \(28\frac{2}{3}\) in = \(\frac{86}{3}\) in
Area of painting = \(\frac{81}{2} \times \frac{86}{3}\) \(in^2\)
= \(1161\) \(in^2\)
Area of wall left uncovered = (26508 - 1161) \(in^2\)
= 25347 \(in^2\)
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Shawn took a test in his Psychology class. The test contained 37 multiple-choice questions. Each question was worth 1 point. Shawn answered 31 questions correctly. Express Shawn's test score as a percent. You may round off to the nearest whole number. Show your work.
Answers
Answer:
84%
Step-by-step explanation:
divided and move to the nearest 2 numbers
Diogo has a utility function, U(q1,q2)=q10.2q20.8 where q1 is chocolate candy and q2 is slices of pie. If the price of slices of pie, p2, is $1.00, the price of chocolate candy, p1, is $2.00, and income, Y, is $100, what is Diogo's optimal bundle? The optimal value of good q1 is q1= units. (Enter your response rounded to two decimal places.)
Answers
Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.
To find Diogo's optimal bundle, we need to maximize his utility function subject to his budget constraint. The budget constraint is given by:
p1q1 + p2q2 = Y
Substituting the given values:
2q1 + 1q2 = 100
We can rewrite this as:
q2 = (100 - 2q1) / 1
Now, let's maximize Diogo's utility function:
U(q1, q2) = q1^0.2 * q2^0.8
Substituting the expression for q2:
U(q1) = q1^0.2 * [(100 - 2q1) / 1]^0.8
To find the optimal bundle, we need to find the value of q1 that maximizes U(q1). We can do this by taking the derivative of U(q1) with respect to q1 and setting it equal to zero:
dU(q1) / dq1 = 0.2q1^(-0.8) * [(100 - 2q1) / 1]^0.8 - 0.8q1^0.2 * [(100 - 2q1) / 1]^(-0.2) * (-2 / 1) = 0
Simplifying the equation:
0.2[(100 - 2q1) / q1]^0.8 = 0.8
[(100 - 2q1) / q1]^0.8 = 4
Taking both sides to the power of 1/0.8:
(100 - 2q1) / q1 = 4^(1/0.8)
Solving for q1:
100 - 2q1 = 4^(1/0.8) * q1
100 = (4^(1/0.8) + 2) * q1
q1 = 100 / (4^(1/0.8) + 2)
Calculating the value of q1:
q1 ≈ 12.77
Now we can substitute this value back into the budget constraint to find q2:
2q1 + q2 = 100
2(12.77) + q2 = 100
25.54 + q2 = 100
q2 = 100 - 25.54
q2 ≈ 74.46
Therefore, Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.
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Use vectors to decide whether the triangle with vertices p(1,-3,-2), q(2,0,-4), and r(6,-2,-5) is right-angled.
Answers
The given vertices make a right angled triangle as seen below, with the help of vectors.
What are vectors?Vectors refer to the quantities that have both magnitude and direction but not position.
Now,
Given: Three vertices of a triangle: P(1,-3,-2),Q(2,0,-4), and R(6,-2,-5).
To find: whether they make a right angled triangle.
Finding:
Now,
Any two of the triangle's vectors must have a dot product of zero in order to demonstrate that the triangle is a right triangle. This is because the vectors (which represent the sides) are perpendicular or orthogonal if the dot product is 0, which indicates that the angle they make is right (90°).The triangle's three sides can be represented by the following three directional vectors:
Vector (PQ) = <2, 0, -4> - < 1, -3, -2>
=> Vector (PQ) = < 1, 3, -2>
Vector (QR) = < 6, -2, -5> - < 2, 0, -4>
=> Vector (QR) = < 4, -2, -1>
Vector (PR) = < 6, -2, -5> - <1, -3, -2>
=> Vector (PR) = < 5, 1, -3>
Now, finding a pair of vectors whose dot product = 0:
Vector(PQ) . Vector(PR) = < 1, 3, -2> . < 5, 1, -3> = 5 + 3 + 6 = 14 ≠ 0Vector (QR) . Vector (PR) = < 4, -2, -1> . < 5, 1, -3> = 20 + (-2) + 3 = 21 ≠ 0Vector (PQ) . Vector (QR) = < 1, 3, -2> . < 4, -2, -1> = 4 + (-6) + 2 = 0Hence, the sides PQ and QR must be perpendicular so that the given vertices make a right-angled triangle.
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Find a particular solution to the nonhomogeneous differential equation y′′+4y′+5y=−10x+3e−x.
Answers
We found a particular solution to the nonhomogeneous differential equation y'' + 4y' + 5y = -10x + 3e^(-x) as y_p = -3/2 e^(-x).
To find a particular solution to the nonhomogeneous differential equation y'' + 4y' + 5y = -10x + 3e^(-x), we will use the method of undetermined coefficients.
Step 1: Homogeneous Solution
First, we need to find the solution to the corresponding homogeneous equation y'' + 4y' + 5y = 0. The characteristic equation is r^2 + 4r + 5 = 0, which has complex roots -2 + i and -2 - i. Therefore, the homogeneous solution is of the form y_h = e^(-2x)(c1cos(x) + c2sin(x)), where c1 and c2 are arbitrary constants.
Step 2: Particular Solution
We will look for a particular solution of the form y_p = ax + b + c e^(-x), where a, b, and c are constants to be determined.
Substituting y_p into the differential equation, we have:
y_p'' + 4y_p' + 5y_p = -10x + 3e^(-x)
Taking the derivatives and substituting back into the equation, we obtain:
(-c)e^(-x) + (-c)e^(-x) + 4(a - c)e^(-x) + 4a + 5(ax + b + c e^(-x)) = -10x + 3e^(-x)
Matching the coefficients of the terms on both sides, we get the following system of equations:
4a + 5b = 0 (for the x term)
4(a - c) = -10 (for the constant term)
-2c = 3 (for the e^(-x) term)
Solving this system of equations, we find a = 0, b = 0, and c = -3/2.
Therefore, a particular solution to the nonhomogeneous differential equation is y_p = -3/2 e^(-x).
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I'll give you 23 points
Answers
-2x=-12
X=6
Mark me Brainly
Find the slope and the y-intercept of the graph of the linear equation y=−17x+2.
Answers
Answer:
The slope is -17 and the y-intercept is 2.
Step-by-step explanation:
Answer:
y
=
17
x
2
−
37
2
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
17
2
b
=
−
37
2
The slope of the line i
Step-by-step explanation:
the average of 8 girls is 15 and the average of 6 girls is 13 find the average of the other two girls with equal age
Answers
Answer:
21
Step-by-step explanation:
Since the girls have the same age, let their age be x.
Then, their average is
\(\frac{x+x}{2} = \frac{2x}{2} = x\)
Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)
Also, we have,
\(\frac{S_{8}}{8} =15 - eq(2)\)
\(\frac{S_{6}}{6} =13 - eq(3)\)
Then eq(2):
(from eq(1) and eq(3))
\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)
The average of the other two girls with equal age is 21
The difference between the monthly high
and low temperatures was less than 27°
Fahrenheit. The monthly low temperature
was
-2° Fahrenheit. Determine the possible
monthly high temperature. Then interpret
the solution.
Answers
The possible monthly high temperature is less than 25°.
What is the possible monthly high temperature?It's important to note that temperature simply means the degree of hotness and the coldness that a particular medium has.
In this situation, the difference between the monthly high and low temperatures was less than 27° Fahrenheit and monthly low temperature
was -2° Fahrenheit. Therefore, the monthly high will be:
High - Low < 27
High - (-2) < 27
High + 2 < 27
High < 27 - 2
High < 25
The interpretation means that the temperature is less than 25°F.
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could you tell me the answer for this question please
Answers
Answer:
60
Step-by-step explanation:
A farmer harvests 850kg of parsnips. 30% go to the local market and 50% go to a local supermarket. What mass of parsnips are left?
Answers
answer is 170
---------------------------
50% of 850 = 425
30% of 850 = 255
425 + 255 = 680
850 - 680 = 170
There are 170 kg mass of parsnips left after distributing to the local market and local supermarket.
To calculate the mass of parsnips left after distributing them to the local market and the local supermarket, we need to subtract the quantities allocated to these places from the total harvest.
The farmer harvested 850 kg of parsnips.
30% of the harvest goes to the local market, which is (30/100) * 850 kg = 0.3 * 850 kg = 255 kg.
50% of the harvest goes to the local supermarket, which is (50/100) * 850 kg = 0.5 * 850 kg = 425 kg.
To find the mass of parsnips left, we subtract the quantities allocated to the market and supermarket from the total harvest:
Total harvest - (Quantity for market + Quantity for supermarket)
= 850 kg - (255 kg + 425 kg)
= 850 kg - 680 kg
= 170 kg.
Therefore, there are 170 kg of parsnips left after distributing to the local market and local supermarket.
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At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5. Write an equation that represents the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totaled $68.
Answers
The equation that represent the relationship of the coffees is 3x + 5y = 68.
How to represent situation with system of equation?At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.
The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:
where
x = number of medium coffees soldy = number of large coffees soldTherefore, the equation is as follows:
3x + 5y = 68
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Plot the following points (3,6); (-1,6) and (-1,-6) on a grid to create three vertices of a rectangle. Find the missing vertex that would make it a rectangle.
Answers
Answer: (3,-6)
Step-by-step explanation: Find the answer by finding the negative of the other number.
Your in a race. But your in third place, and you pass the second place racer, what place are you in? BRAIN RIDDLE
A) 1st place
B) 2nd place
C) 3rd place
Answers
Answer:
b) second place is your anser
Answer:
B) 2nd place
Step-by-step explanation:
Help
please answer the question
Answers
Answer:
it's D because
6/2=3
So you then divide 15/3=5
Angel has $85 to spend . He spent $20 on food and saved the rest of his money for games. each game cost $5 Write an inequality to represent how many games , g Angel can play?
Answers
Answer:
85 = 5x + 20 is the inequality.
Step-by-step explanation:
Why is it right? Because I said so.
Just kidding. Here:
The cost of the games, 5, is multiplied by x, which is the amount of games that Angel will buy. To solve:
Subtract 20 from both sides:
65 = 5x
Divide 65 by 5.
The answer of the question is: Angel can buy 13 games. (Angel! That's a waste of 65 bucks!)
What is the volume of a rectangular prism that measures 5 inches long, 14 inches high and 7 inches wide? 1 point
Answers
Answer:
V = 490 in³
Step-by-step explanation:
the volume (V) of a rectangular prism is calculated as
V = length × width × height
= 5 × 7 × 14
= 490 in³
Please help as soon as possible.. I don’t understand this.
Answers
Answer:
45ft squared
Step-by-step explanation:
you multiply 3 by the radius which is 15
that gives you a total of 45
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
and
5(3x+4) -2x = 7x -3(-2x+11)
Answers
Answer:
For the first problem the answer is x=4
The second Problem the answer is no solutions
Step-by-step explanation:
7x−(3x+5)−8=1/2 (8x+20)−7x+5
7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)
7x+−3x+−5+−8=4x+10+−7x+5
(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)
4x+−13=−3x+15
4x−13=−3x+15
Step 2: Add 3x to both sides.
4x−13+3x=−3x+15+3x
7x−13=15
Add 13 to both sides.
7x−13+13=15+13
7x=28 Divide both sides by 7.
x=4
5(3x+4) -2x = 7x -3(-2x+11)
Simplify both sides of the equation.
5(3x+4)−2x=7x−3(−2x+11)
(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)
15x+20+−2x=7x+6x+−33
(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)
13x+20=13x+−33
13x+20=13x−33
Subtract 13x from both sides.
13x+20−13x=13x−33−13x
20=−33
Step 3: Subtract 20 from both sides.
20−20=−33−20
0=−53
There are no solutions.
Answer:
Step-by-step explanation:
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
1. Distributive Property
7x - 3x - 5 - 8 = 4x + 20 - 7x + 5
2. Combine like terms
4x -13 = -3x + 25
3. Add 13 on both sides
4x -13 + 13 = -3x + 25 + 13
4x = -3x + 38
4. Add 3x on both sides
4x + 3x = -3x + 3x + 38
7x = 38
5. Divide by 7 on both sides
7x / 7= 38 / 7
x = 5.428571428571429
or
x = 5.4
__________________________________________________________
5(3x+4) -2x = 7x -3(-2x+11)
1. Distributive Property
15x + 20 - 2x = 7x + 6x - 33
2. Combine like terms
13x + 20 = 13x - 33
3. Subtract 20 on both sides
13x + 20 - 20 = 13x - 33 - 20
13x = 13x - 53
4. Subtract 13x on both sides
13x - 13x = 13x - 13x - 53
0 = -53 ( there is no answer for x)
Hope this helped!!!!
Which is a fourth degree trinomial with a leading coefficient of 3?
A) x2 – 3x4 + 13x
B) 3x4 – 8x3 = x + 2
C) 3x3 – x2 =12
D) x - x2 + 3x4
Answers
Answer:
B.
Step-by-step explanation:
A fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴-8x³=x+2].
What is a trinomial?A trinomial in elementary algebra is a polynomial made up of three terms, or monomials.An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z is x + y + z.A trinomial in one variable, 2a² + 5a + 7, exists.So, we know that a trinomial is made up of 3 terms.
4th-degree trinomial means that it has a power of 4.And with a coefficient of 3.So, such expression is: 3x⁴ - 8x³ = x + 2
Therefore, a fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴ - 8x³ = x + 2].
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For each step, chose the reason that best justifies it?
Answers
SOLUTION
Write out the equation
\(\frac{y-7}{2}=-11\)The first step in solving this equation is to multiply both sides by 2 this is called
MULTIPLICATION PROPERTY OF EQUALITY
Step1; MUltiply both sides by 2
\(\begin{gathered} 2\times\frac{y-7}{2}=-11\times2 \\ \text{Then},\text{ simpliying we have } \\ y-7=-22 \end{gathered}\)The next step in solving this equation is to add 7 to both sides of
the equation this is called ADDITION PROPERTY OF EQUALITY
step2: Add 7 to both sides of the equation
\(\begin{gathered} y-7+7=-22+7 \\ \text{simplify we have } \\ y=-15 \end{gathered}\)Hence the solution to the equation is y=-15
The steps are
Step1; MULTIPLICATION PROPERTY OF EQUALITY
Step2: SIMPLIFYING
Step3: ADDITION PROPERTY OF EQUALITY
Step4: SIMPLIFYING
A customer service survey was conducted of 400 customers: 200 men and 200 women. The data on one of the questions show that 115 of the men and 165 of the women rate the customer service as excellent. What percentage of the men gave an excellent rating
Answers
For the customer service survey, the percentage of the men gave an excellent rating is 57.5%.
The percentage of the men who gave an excellent rating can be calculated by dividing the number of men who gave an excellent rating by the total number of men who took the survey and multiplying by 100%.
Total number of customers surveyed = 400 (200 men and 200 women)
Number of men who rated customer service as excellent = 115
Number of women who rated customer service as excellent = 165
To find percentage of the men who gave an excellent rating, formula to be used:
Percentage of the men who gave an excellent rating = (Number of men who rated customer service as excellent / Total number of men who took the survey) x 100%
Therefore,
Percentage of the men who gave an excellent rating = (115/200) x 100%
Percentage of the men who gave an excellent rating = 57.5%
Therefore, the answer is 57.5%.
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Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
ANSWER: Kiran is jogging at 9.6 miles per hour.
Answers
Find the area under the standard normal curve between z=â1.16 and z=â0.03 Round your answer to four decimal places, if necessary.
Answers
The area under the standard normal curve between z=â1.16 and z=â0.03 is 0.3663.
To find the area under the standard normal curve between z = -1.16 and z = -0.03, we will use the following steps:
1. Look up the z-values in the standard normal distribution table (or use a calculator or online tool that provides the corresponding probability values).
2. Subtract the probability value for z = -1.16 from the probability value for z = -0.03.
3. Round your answer to four decimal places.
Step 1: Look up the z-values in the standard normal distribution table.
- For z = -1.16, the corresponding probability value is 0.1230.
- For z = -0.03, the corresponding probability value is 0.4893.
Step 2: Subtract the probability values.
Area = P(-0.03) - P(-1.16) = 0.4893 - 0.1230
Step 3: Round the answer to four decimal places.
Area = 0.3663
So, the area under the standard normal curve between z = -1.16 and z = -0.03 is approximately 0.3663.
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Select the correct answer.
Haley conducted a study which found that a cup of coffee contains 150 milligrams of caffeine. The amount of caffeine in the body each
hour after consumption of one cup is 9% less than the previous hour.
If Haley conducted her study for a total of 10 hours, which inequality represents the range of the exponential function that models this
situation?
150 s f(x) s 355.1
58.41 s f(x) < 150
O s f(x) s 10
0 <f(x) s 150
Submit
Reset
Answers
Answer:
The correct option is (B)\(58.41<f(x)<150\).
Step-by-step explanation:
The exponential decay function is as follows:
\(y=a(1-r)^{t}\)
Here,
y = final value
a = initial value
r = decay rate
t = time taken
It is provided that:
a = 150 mg
r = 9% = 0.09
Then the next hour the amount of caffeine in the body will be:
\(y=a(1-r)^{t}\\=150\times (1-0.09)^{1}\\=136.5\ \text{mg}\)
Then after two hours the amount of caffeine in the body will be:
\(y=a(1-r)^{t}\\=150\times (1-0.09)^{2}\\=124.215\ \text{mg}\)
Similarly after 10 hours the amount of caffeine in the body will be:
\(y=a(1-r)^{t}\\=150\times (1-0.09)^{10}\\=58.4124\ \text{mg}\\\approx 58.41\ \text{mg}\)
Then the inequality representing the range of the exponential function that models this situation is:
\(58.41<f(x)<150\)
Thus, the correct option is (B).
The best answer's you can get are the already answered one's (posted cause a guy in the comment said it was wrong when it was actually correct)
An element with a mass of 310 grams disintegrates at 8.9% per minute. How much of the element remains after 19 minutes, to the nearest tenth of a gram?
Answers
The remaining mass of the element after 19 minutes is approximately 110.7 grams, rounded to the nearest tenth of a gram.
The mass of the element is decreasing at a rate of 8.9% per minute. Let's call the remaining mass of the element after 19 minutes "x". Then, the mass of the element after 1 minute would be 0.911 times x, since 8.9% of the mass disintegrates per minute.
After 2 minutes, the mass would be 0.911 times 0.911 times x, or 0.911² times x. In general, after t minutes, the mass would be:
x = 310 × \(0.911^t\)
To find the remaining mass after 19 minutes, we plug in t = 19:
x = 310 × 0.911¹⁹ ≈ 110.7
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