Answers
Answer:
Zero
Step-by-step explanation:
There is no solution to this.
Related Questions
What is the measure of the missing angle? Round answer to nearest whole number.
Answers
Answer:
you know that you have the Opposite side and the Adjacent side. therefore you would use Tangent (T= O/A)
because you are finding the angle you would go Tan^-1(12÷20) =31°
it is 12÷20 because O/A and the 12 is the opposite side therefore It would be O and 20 is the adjacent side therefore equaling 20 so O/A = 12/20
Your answer is 31°
The measure of the missing angle x is approximately 59 degrees.
To find the measure of the missing angle \(x\) in the right-angled triangle with a base of 12 and a height of 20, we can use the tangent function from trigonometry. Here are the steps:
1. Identify the sides of the triangle:
- Opposite side (height) = 20
- Adjacent side (base) = 12
2. Use the tangent function:
[tex]\[ \tan(x) = \frac{\text{opposite}}{\text{adjacent}} = \frac{20}{12} \][/tex]
3. Simplify the fraction:
[tex]\[ \tan(x) = \frac{20}{12} = \frac{5}{3} \][/tex]
4. Find the angle \(x\):
Use the arctangent (inverse tangent) function to find the angle:
[tex]\[ x = \arctan\left(\frac{5}{3}\right) \][/tex]
5. Calculate the angle:
Using a calculator to find the arctangent of \( \frac{5}{3} \):
[tex]\[ x \approx \arctan\left(1.6667\right) \approx 59.04 \text{ degrees} \][/tex]
6. Round to the nearest whole number:
[tex]\[ x \approx 59 \text{ degrees} \][/tex]
So, the measure of the missing angle x is approximately 59 degrees.
What is the following product?
Answers
Answer:
last answer
Step-by-step explanation:
hello : last answer
Evaluate −x2 − 4x − 4 for x = −3
Answers
Final answer:
To find the value of the expression −x2 − 4x − 4 for x = −3, substitute −3 into the expression and simplify to get −5.
Explanation:
To evaluate the expression −x2 − 4x − 4 for x = −3, we substitute −3 for x in the expression and simplify.
First, substitute x with −3: −(−3)2 − 4(−3) − 4.
Simplify the square of −3: −(9) − 4(−3) − 4.
Multiply 4 by −3: −(9) + 12 − 4.
Finally, add and subtract the numbers: −9 + 12 − 4 = −1 − 4 = −5.
So, evaluating the expression for x = −3 gives us −5.
What is the answer to this math problem 2-(-5)
Answers
Answer:
7
Step-by-step explanation:
2-(-5)
2 + 5 --- opposite
=7
the minus and negative cancel out and turn into a + sign, so the new problem is 2+5 which is 7.
Write the expressions for when you translate the graph of y=/ x / a) one unit up, b) one unit down, c) one unit to the left, d) one unit to the right.
Answers
Answer:
A) |x| + 1 B) |x| - 1 C) |x+1| D) |x-1|
Step-by-step explanation:
Just follow what I wrote for other questions and you'll be fine :D
A teacher tells 36 students to form 4 equal groups. Write and solve a multiplication equation to find how many students s there should be in each group.
Answers
Answer:
their should be 9 people in each group
Step-by-step explanation:
36/4=9
9 x 4 equals 36
therefore their should be 9 people in each group
Answer:
there sjould be 9 students in the four groups
Step-by-step explanation:
36 students divided by 4 group equals nine students per group
Kristian has decided to get a part time job. He will earn $14.82 per hour. Last week, Kristian worked 6.5 hours. How much will his total earnings be.
Answers
Answer: $96.33
Step-by-step explanation:
$14.82 • 6.5 = $96.33
Answer:
96.33
Step-by-step explanation:
14.82 x 6.5 = 96.33
Please help me with this math problem. I don't get it and need help to complete it!
For each odd positive integer n, the only real number solution to x^n=1 is x = 1 while for even positive integers n, x=1 and x= − 1 are solutions to x^n=1x n = 1. In this problem we look for all complex number solutions to LaTeX: x^n=1 for some small values of n.
1. Find all complex numbers a + bi whose cube is 1.
2.Find all complex numbers a + bi whose fourth power is 1.
Answers
Answer:
1, cos(2π/3)+i·sin(2π/3), cos(4π/3) +i·sin(4π/3)1, i, -1, -iStep-by-step explanation:
Euler's formula comes into play here. That tells you ...
[tex]e^{ix}=\cos{x}+i\sin{x}[/tex]
Then 1 can be written as ...
[tex]1 = e^{2ki\pi} \qquad\text{for any integer k}[/tex]
Then the n-th root of 1 will be ...
[tex]1^{\frac{1}{n}}=e^{2ki\pi /n}=\cos{(2k\pi /n)}+i\sin{(2k\pi /n)}[/tex]
Since the trig functions are periodic with period 2π, useful values of k are from 0 to n-1.
__
1) The cube roots of 1 are ...
cos(2πk/3) +i·sin(2πk/3) . . . . for k = 0 to 2
= {1, cos(2π/3) +i·sin(2π/3), cos(4π/3) +i·sin(4π/3)}
__
2) The fourth roots of 1 are ...
cos(2πk/4) +i·sin(2πk/4) = cos(kπ/2) +i·sin(kπ/2)
= {1, i, -1, -i}
A mountain bike tires completes 20 revolution and travels 136ft. Rounded to the nearest inch , what is the diameter of the bike tires ? Use 3.14 for (pi) .Enter your answer in the box
Answers
Answer:
26.04 inches
Step-by-step explanation:
A revolution is in the shape of a circle.
We can therefore say that the bike tires that complete 20 revolutions complete the length of 20 circumferences of the tires.
The length of the 20 revolutions (20 circumferences) is 136 ft
Therefore, the length of one revolution and hence, one circumference is:
C = 136 / 20 = 6.8 ft
The circumference of a circle is given as:
C = pi * d
Where d = diameter of the circle.
Hence, the diameter of the tire will be:
6.8 = 3.14 * d
d = 6.8 / 3.14
d = 2.17 ft
1 foot is equal to 12 inches, hence, 2.17 ft in inches will be:
2.17 * 12 = 26.04 inches
The diameter of the tire is 26.04 inches.
What is 53 and 1/2 as an improper fraction?
Answers
Answer:
106/2
Step-by-step explanation:
53 1/2 = 106/2
What is an equation of the line that passes through the point (5, -8) and is
perpendicular to the line 5x – 4y = 16?
Submit Answer
Answer:
Answers
Answer:
4x +5y = -20
Step-by-step explanation:
Starting with an equation in standard form, you can write the equation for the perpendicular line by swapping the x- and y-coefficients and negating one of them. You want the x-coefficient to be positive, so it is convenient to negate that one here. This gives you the equation ...
4x +5y = (some constant)
You find the value of the constant by evaluating the expression at the given point:
4x +5y = 4(5) +5(-8) = -20
The desired equation is ...
4x +5y = -20
The measure of the arc is always equal to the measure of the anlge.
True
False
Answers
Answer:
False
Step-by-step explanation:
Since no particular geometry is specified, the relationship between the measure of the arc and the measure of the angle is unknown. The statement must be said to be FALSE.
The volume of a rectangular prism is 420 cubic centimeters. The length, L, is 6 centimeters and the width, W, is 14 centimeters. What is the height, H, in centimeters, of the rectangular prism?
Answers
Answer:
5 centimeters
Step-by-step explanation:
We know the equation to find volume is V = B x h, where B is the base of the prism. (It is also known as the simple V = l x w x h.)
No matter what equation you use, you will end up with V = l x w x h, since the base of a rectangular prism is length x width. So, we're going to plug in our known information to get 420 = 6 x 14 x h.
Then, we're going to multiply 6 x 14 to get 84. Now we have 420 = 84 x h. To isolate the h (in order to find what it is), we must divide both sides by 84.
420/84 = 5, so whats left of the equation is 5 = h, meaning your height is 5 centimeters.
A 200-gal tank contains 100 gal of pure water. At time t = 0, a salt-water solution containing 0.5 lb/gal of salt enters the tank at the rate of 5 gal/min, and the mixture, which is kept uniform by stirring, is withdrawn at the rate of 3 gal/min. (1) Write down a differential equation for the amount of salt in the tank at a time t. (2) Find the amount of salt and its concentration in the tank at a time t. (3) At the time the tank is full, how many pounds of salt will it contain? (4) What would be the limiting concentration of salt at infinity time if the tank had infinity capacity?
Answers
Answer:
1) [tex]\frac{dy}{dt}=2.5-\frac{3y}{2t+100}[/tex]
2) [tex]y(t)=(50+t)- \frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }}[/tex]
3) 98.23lbs
4) The salt concentration will increase without bound.
Step-by-step explanation:
1) Let [tex]y[/tex] represent the amount of salt in the tank at time t, where t is given in minutes.
Recall that: [tex]\frac{dy}{dt}=rate\:in-rate\:out[/tex]
The amount coming in is [tex]0.5\frac{lb}{gal}\times 5\frac{gal}{min}=2.5\frac{lb}{min}[/tex]
The rate going out depends on the concentration of salt in the tank at time t.
If there is [tex]y(t)[/tex] pounds of salt and there are [tex]100+2t[/tex] gallons at time t, then the concentration is: [tex]\frac{y(t)}{2t+100}[/tex]
The rate of liquid leaving is is 3gal\min, so rate out is [tex]=\frac{3y(t)}{2t+100}[/tex]
The required differential equation becomes:
[tex]\frac{dy}{dt}=2.5-\frac{3y}{2t+100}[/tex]
2) We rewrite to obtain:
[tex]\frac{dy}{dt}+\frac{3}{2t+100}y=2.5[/tex]
We multiply through by the integrating factor: [tex]e^{\int \frac{3}{2t+100}dt }=e^{\frac{3}{2} \int \frac{1}{t+50}dt }=(50+t)^{\frac{3}{2} }[/tex]
to get:
[tex](50+t)^{\frac{3}{2} }\frac{dy}{dt}+(50+t)^{\frac{3}{2} }\cdot \frac{3}{2t+100}y=2.5(50+t)^{\frac{3}{2} }[/tex]
This gives us:
[tex]((50+t)^{\frac{3}{2} }y)'=2.5(50+t)^{\frac{3}{2} }[/tex]
We integrate both sides with respect to t to get:
[tex](50+t)^{\frac{3}{2} }y=(50+t)^{\frac{5}{2} }+ C[/tex]
Multiply through by: [tex](50+t)^{-\frac{3}{2}}[/tex] to get:
[tex]y=(50+t)^{\frac{5}{2} }(50+t)^{-\frac{3}{2} }+ C(50+t)^{-\frac{3}{2} }[/tex]
[tex]y(t)=(50+t)+ \frac{C}{(50+t)^{\frac{3}{2} }}[/tex]
We apply the initial condition: [tex]y(0)=0[/tex]
[tex]0=(50+0)+ \frac{C}{(50+0)^{\frac{3}{2} }}[/tex]
[tex]C=-12500\sqrt{2}[/tex]
The amount of salt in the tank at time t is:
[tex]y(t)=(50+t)- \frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }}[/tex]
3) The tank will be full after 50 mins.
We put t=50 to find how pounds of salt it will contain:
[tex]y(50)=(50+50)- \frac{12500\sqrt{2} }{(50+50)^{\frac{3}{2} }}[/tex]
[tex]y(50)=98.23[/tex]
There will be 98.23 pounds of salt.
4) The limiting concentration of salt is given by:
[tex]\lim_{t \to \infty}y(t)={ \lim_{t \to \infty} ( (50+t)- \frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }})[/tex]
As [tex]t\to \infty[/tex], [tex]50+t\to \infty[/tex] and [tex]\frac{12500\sqrt{2} }{(50+t)^{\frac{3}{2} }}\to 0[/tex]
This implies that:
[tex]\lim_{t \to \infty}y(t)=\infty- 0=\infty[/tex]
If the tank had infinity capacity, there will be absolutely high(infinite) concentration of salt.
The salt concentration will increase without bound.
Is 8 yd, 12 yd, 15 yd, a right triangle
Answers
Answer:
NO
Step-by-step explanation:
The sides do not fit into the Pythagorean theorem
a2 + b2 = c2
Answer:maybe
Step-by-step explanation:it depends on how it is placed
What number should both sides of the following equation be divided by to solve for x?
(6.4) x = 32
4
6.4
6
5
Answers
A quadratic function is defined by f(x)=(x-7)(x+3) Without graphing, identify the x-intercept, starting with one with the larger x value. Write your answer in the following format:(x,y)
Answers
Answer:
(7, 0), (-3, 0)
Step-by-step explanation:
The x-intercepts are the values of x that make the factors zero. A zero factor makes the value of the function be zero.
x - 7 = 0 ⇒ x = 7
x + 3 = 0 ⇒ x = -3
The corresponding (x, y) coordinates are ...
(7, 0), (-3, 0)
The x-intercepts of the quadratic function f(x) = (x-7)(x+3) are (7, 0) and (-3, 0).
The question is about finding the x-intercepts of the quadratic function f(x) = (x-7)(x+3). The x-intercepts occur where the function equals zero, so we set f(x) = 0 and solve for x. This gives us two solutions:
x - 7 = 0, which simplifies to x = 7
x + 3 = 0, which simplifies to x = -3
Therefore, the x-intercepts of the function are at (7, 0) and (-3, 0), with the one having the larger x-value being (7, 0).
please help me with mathematics
Answers
Answer:8
Step-by-step explanation:if im wrong sorry
The lunch lady has 4 pounds of lasagna left over. If she
makes-pound servings, how many servings of lasagna
can she serve with the amount left over?
Answers
Answer:
4 servings :) can i get brainliest?
Step-by-step explanation:
The correct answer is 4 servings.
What is problem-solving?
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
What are the steps to problem-solving?
Six step guide to help you solve problems
Step 1: Identify and define the problem. State the problem as clearly as possible.
Step 2: Generate possible solutions.
Step 3: Evaluate alternatives.
Step 4: Decide on a solution.
Step 5: Implement the solution.
Step 6: Evaluate the outcome.
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am I right? Please help me check
Answers
Balvina knows that 6 cups of rice will make enough spanish rice to feed 15 people. She needs to know how many cups of rice are needed to feed 135 people
Answers
Answer:
54 cups of rice are needed to feed 135 people.
Step-by-step explanation:
Given:
Balvina knows that 6 cups of rice will make enough spanish rice to feed 15 people.
Now, to find the cups of rice needed to feed 135 people.
Let the cups of rice needed to feed 135 people be [tex]x.[/tex]
As, 6 cups of rice is needed to feed 15 people.
So, 6 is equivalent to 15.
Thus, [tex]x[/tex] is equivalent to 135.
Now, to get the cups of rice needed to feed 135 people we use cross multiplication method:
[tex]\frac{6}{15} =\frac{x}{135}[/tex]
By cross multiplying we get:
[tex]810=15x[/tex]
Dividing both sides by 15 we get:
[tex]54=x\\\\x=54\ cups.[/tex]
Therefore, 54 cups of rice are needed to feed 135 people.
Balvina would need 54 cups of rice to feed 135 people.
Given:
6 cups of rice will make enough Spanish's rice to feed 15 people.
Total number of people= 135
Let x to represent the number of cups of rice needed to feed 135 people.
The proportion can be set up as follows:
[tex]\(\dfrac{6 \text{ cups}}{15 \text{ people}} = \dfrac{x \text{ cups}}{135 \text{ people}}\)[/tex]
Solving for x as
6 * 135 = 15x
810 = 15x
Now, divide both sides by 15 to solve for x:
810/15 = x
x= 54
Thus, Balvina would need 54 cups of rice.
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The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. How much wax is needed to make the candle? Use 3.14 for Pi. Round to the nearest whole cubic inch.
A cylinder with a radius of 3 inches and height of 5 inches.
Recall the formulas S A = 2 pi r squared + 2 pi r h and V = pi r squared h.
141 cubic inches
236 cubic inches
443 cubic inches
565 cubic inches
Answers
To determine the volume of a cylinder-shaped candle using its radius and height measurements, the formula πr²h is applied. Given a radius of 3 inches and a height of 5 inches, about 141 cubic inches of wax is required.
Explanation:The problem at hand involves finding the volume of a cylinder, representing the amount of wax needed to create a candle. Given the measurements, the radius is 3 inches and the height is 5 inches. We use the formula for the volume of a cylinder, which is πr²h. Plug the values into the formula, substitute 3.14 for π, and calculate. Here are the calculations: Volume = 3.14 * 3² * 5 = 3.14 * 9 * 5 = 141.3 cubic inches. After rounding to the nearest whole number, you need approximately 141 cubic inches of wax to produce the candle.
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Chloe and Charlie are taking a trip to the pet store to purchase some items for their new puppy they know that they need a bag of food that cost $7 and they also want toys that are $2 each .If chloe has 30$ and her friends has 1/3 of the amounts what is the maximum number of toy they can get
Answers
Answer: the maximum number of toy they can get is 16.
Step-by-step explanation:
If chloe has $30 and her friend has 1/3 of the amount, it means that the amount that her friend has is
1/3 × 30 = $10
The total amount that they have is
30 + 10 = $40
They need a bag of food that cost $7 and they also want toys that are $2 each.
Let x represent the number of toys that they want to get. The total cost of a bag of food and x toys is
7 + 2x
Since they have $40, then the expression would be
7 + 2x ≤ 40
2x ≤ 40 - 7
2x ≤ 33
x ≤ 33/2
x ≤ 16.5
Since the number of toys cannot be a fraction, then the maximum number of toy they can get is 16
We want to see what is the maximum number of toys that Chloe and Charlie can get a maximum of 16 toys.
So we know that they need a bag of dog food that costs $7 and some toys, such that each toy costs $2.
So, if they buy x toys, the cost will be:
C(x) = $7 + $2*x
Now, we know that Chloe has $30 and charlie has 1/3 of that, so Charlie has:
(1/3)*$30 = $10
Then in total they have $30 + $10 = $40, so the maximum cost can be $40, then we must solve:
C(x) = $40 = $7 + $2*x
$40 - $7 = $2*x
$33 = $2*x
$33/$2 = 16.5 = x
Rounding down (because they can't buy a 0.5 of a toy) we see that the maximum number of toys that they can buy is 16.
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An expression is shown.
1608 ÷ 268
What is the value of the expression?
Answers
Answer:
6
Step-by-step explanation:
Need help with this question, please help!
Answers
Answer:
x = 1 in
Step-by-step explanation:
We can use ratios to solve since they are similar triangles
6 6+x
----- = ---------
5 6
Using cross products
6*6 = 5*(6+x)
36 = 30+6x
Subtract 30 from each side
36-30 = 30-30+6x
6 = 6x
Divide each side by 6
6/6 = 6x/6
1 =x
Norman purchased $420 of stock in Carnival Cruise Lines last week. That stock is now worth $525. Use your knowledge of percent change to determine the percentage by which the value of Norman's stock has increased. Be sure to show your work.
Answers
Answer:
The stock Norman purchased increased in its value by 25%.
Step-by-step explanation:
Original Value of the stock = $ 420
New(Current) value of the stock = $ 525
We have to find the percentage change in the value of stock. The formula to calculate the percentage change is:
[tex]\text{Percentage Change}=\frac{\text{New Value - Original Value}}{\text{Original Value}} \times 100\%[/tex]
Substituting the given values into this formula results in:
[tex]\text{Percentage Change}=\frac{525-420}{420} \times 100\% \\\\ \text{Percentage Change}=\frac{105}{420} \times 100\%\\\\ \text{Percentage Change}=0.25 \times 100\% \\\\ \text{Percentage Change}=25 \%[/tex]
A positive value of Percentage Change indicates a growth. This means that the stock Norman purchased increased in its value by 25%.
The value of Norman's stock has increased by 25%.
Explanation:To determine the percentage increase in the value of Norman's stock, we need to calculate the percent change. Percent change is calculated by subtracting the original value from the new value, then dividing the difference by the original value and multiplying by 100. In this case, the original value of the stock is $420 and the new value is $525.
Percent change = ((New value - Original value) / Original value) * 100
Percent change = (($525 - $420) / $420) * 100
Percent change = ($105 / $420) * 100
Percent change = 0.25 * 100
Percent change = 25%
The value of Norman's stock has increased by 25%.
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A=25pi
pleaseeeeeee help
Answers
Answer:
78.5
Step-by-step explanation:
I don't really understand what you are asking, but 25 x pi = 78.5
You have to multiply the number you have with the the First three digits of pi a.k.a. 3.14
A punch bowl is in the shape of a cylinder he height of the Punch bowl is 10 inches and the diameter of the Punch bowl is 14 inches. What is the volume of punch you need to fill the punch bowl 1 inch from the top.
Answers
Answer:
The volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³
Step-by-step explanation:
Total Height of the punch bowl = 10 inches
Diameter of the bowl = d = 14 inches
Since, radius is half of the diameter, the radius of the bowl would be = r = 7 inches.
The shape of punch bowl is given to be cylindrical and we have to find the volume of the bowl. The formula to calculate the volume of a cylinder is:
[tex]Volume=\pi r^{2} h[/tex]
Here, h represents the height.
We have to find the volume to fill the bowl till 1 inch from the top. Since, the height of bowl is 10 inches, we have to fill it to 9 inches. Therefore, the value of height(h) which we will substitute in the formula will be 9. Using the values in the formula gives us:
[tex]Volume =\pi (7)^{2} \times 9\\\\ Volume =441\pi \\\\ Volume = 1385.44[/tex]
This means, the volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³
Final answer:
The volume required to fill the punch bowl till 1 inch from the top is 1385.261 inches³
Explanation:
To find the volume of punch needed to fill the punch bowl 1 inch from the top, we first need to calculate the volume of the punch bowl.
The formula for the volume of a cylinder is
V = πr²h,
where
r is the radius and h is the height.
Given that the diameter is 14 inches, the radius is half of that, which is 7 inches.
Plug in these values and the height of 10 inches into the formula to find the volume of the punch bowl.
V = 3.142 × (7 inches)² × 10 inches = 1539.178 cubic inches
To find the volume of punch needed to fill the bowl 1 inch from the top, we subtract 1 inch from the height of the bowl and use the same formula.
V = 3.142 × (7 inches)² × 9 inches = 1385.261 cubic inches
For each problem, find an example of an equation that would work with the following criteria
1. The two x-intercepts are 2 and 10. The y-intercept is -12
2. The Axis of Symmetry is x = 4. The y-intercept is 28
3. The Axis of Symmetry is x = -3. The y-intercept is 24.
4. The x-intercepts are 8 and -4. The y-intercept is 16.
Answers
Answer:
1. y = 0.6x² - 7.2x + 12
2. y = x² - 8x + 28
3. y = x² + 6x + 24
4. y = -0.5x² + 2x + 16
Step-by-step explanation:
1. The two x-intercepts are 2 and 10. The y-intercept is -12
A(x - 2)(x - 10)
A(x² - 12x + 20)
20A = 12
A = ⅗ = 0.6
y = 0.6x² - 7.2x + 12
2. The Axis of Symmetry is x = 4. The y-intercept is 28
(x - 4)² + C
x² - 8x + 16 + C
16 + C = 28
C = 12
y = (x - 4)² + 12
y = x² - 8x + 28
3. The Axis of Symmetry is x = -3. The y-intercept is 24.
(x + 3)² + c
x² + 6x + 9 + C
9 + C = 24
C = 15
y = x² + 6x + 24
4. The x-intercepts are 8 and -4. The y-intercept is 16.
A(x - 8)(x+ 4)
A(x² - 4x - 32)
-32A = 16
A = -0.5
y = -0.5x² + 2x + 16
PLEASE ANSWER FAST IT IS TIMED In The Number Devil, the number devil's character helps to build on the point of the story by
O challenging Robert's negative view of numbers.
O getting himself into a difficult situation.
O asking Robert the origin of his pretzel tale.
O finding a unique way to solve a problem.
Answers
Answer: A
Step-by-step explanation:
The devil is trying to see how and why Robert is negative with his view of numbers. He pokes Robert so he can see how negative Robert is about it.
Answer: A
Step-by-step explanation: