Answer:
27 feet squared
Step-by-step explanation:
the formula for the area of a triangle is b(h)/2 so u just plug in the numbers into the formula from the question. we know that the base is 6ft long and the height is 9ft long.
A = b(h)/2
A = 6(9)/2
A = 27
therefore the area of the sail is 27 feet squared.
6 people equally share 56 gummy worms. How many gummy worms does each person get?
Please help me! question is in image attached! Thank you very much!!
The equation for the polynomial is P(x) = x⁵ + x⁴ - 18x³ + 22x² + 45x - 75
How to determine the equation for the polynomialFrom the question, we have the following parameters that can be used in our computation:
Zeros = 2 - i, -5 and -√3
A polynomial is represented as
P(x) = (x - zero)^multiplicity
Using the above as a guide, we have the following:
P(x) = (x - (2 - i))(x - (2 + i))(x + 5)(x - √3)(x + √3)
So, we have
P(x) = ((x - 2)² + 1)(x + 5)(x² - 3)
Expand
P(x) = (x² - 4x + 5)(x + 5)(x² - 3)
When the expression is simplified, we have
P(x) = x⁵ + x⁴ - 18x³ + 22x² + 45x - 75
Hence, the function is P(x) = x⁵ + x⁴ - 18x³ + 22x² + 45x - 75
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4x + 5y = 20
Change the equation into slope-intercept form
Answer:
x= -4/5 x+4
Step-by-step explanation:
Let's solve for y.
4x+5y=20
Step 1: Add -4x to both sides.
4x+5y+−4x=20+−4x
5y=−4x+20
Step 2: Divide both sides by 5.
Answer:
y = -4/5x + 4
Step-by-step explanation:
First we want to know slope intercept form. y = mx +b. Now we want to rearrange the original equation into this form. Start by subtracting 4x from either side. Now we have 5y = -4x + 20. We now want to isolate x, so divide by 5 on both sides, we get y = -4/5x + 4
10. WEATHER On average, the circular eye of a hurricane is about 15 miles in diameter. Gale winds can affect an area up to 300 miles from the storm's center. A satellite photo of a hurricane's landfall showed the center of its eye on one coordinate system could be approximated by the point (80, 26).
a. Write an equation to represent a possible boundary of the hurricane's eye.
b. Write an equation to represent a possible boundary of the area affected by gale winds.
The equation to represent a possible boundary of the hurricane's eye is (x - 80)² + (y - 26)² = 7.5²
Circle Equation
The standard equation of a circle is given by:
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and r is the radius.
Given that diameter = 15 miles, hence radius = 15/2 = 7.5. Also, center = (80, 26)
The equation of circle is:
(x - 80)² + (y - 26)² = 7.5²
The equation to represent a possible boundary of the hurricane's eye is (x - 80)² + (y - 26)² = 7.5²
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7x+14y=21,-7x+7y=7 using elimation
Answer:(x,y)=(1/3 , 4/3)
Step-by-step explanation:
what’s the slope of (1,7) and (6,10)
Help, I need to answer this question
Answer:
Step-by-step explanation:
factors of 8
Answer:
F- of a 8* i think
Step-by-step explanation:
Which equation represents a line with a slope of zero?
O y= 2x
Oy=-1/2x+1/2
Oy=4
O x=-5
Help please ............
Answer: 0.45
Step-by-step explanation:
(no 2 and 4) 15%+30% = 45%
45/100 = 0.45
A nursery owner buys 5 panes of glass to fix some damage to his greenhouse. The 5 panes cost 12.75$. Unfortunately, he breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answer:
$5.10
Step-by-step explanation:
The owner buys 5 panes of glass for $12.75. So to find the cost of 1, we need to divide the total cost by the amount of planes. In this case, 12.75 divided by 5. This gives you $2.55 per plane. And since he is buying 2 more, we would multiply the cost of the plane (2.55) by the amount we are buying (2). So we do 2.55 X 2 and we get $5.10
it takes 222 wooden sticks and 1.51.51, point, 5 square feet of paper to make a kite, and it takes 121212 wooden sticks and 888 square feet of paper to make a lamp.
To make a kite, you need 222 wooden sticks and 1.5 square feet of paper. For a lamp, you need 12 wooden sticks and 88 square feet of paper.
Now, let's calculate the number of wooden sticks and square feet of paper needed for the kite and the lamp separately.
For the kite:
- Number of wooden sticks: 222
- Square feet of paper: 1.5
For the lamp:
- Number of wooden sticks: 12
- Square feet of paper: 88
it takes 222 wooden sticks and 1.5 square feet of paper to make a kite, while it takes 12 wooden sticks and 88 square feet of paper to make a lamp.
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11. In a class, the probability of being a boy is 5/6. If there are 36 girls in the class, how many total
students are in the room?
Answer:
66
Step-by-step explanation:
How much do you have to save for a down payment on a car if the price of the vehicle is $8,000 and the dealer wants a 10 percent down payment?
Therefore, based on the given information, you would need to save $800 for the down payment on the car, as it corresponds to 10 percent of the car's price ($8,000).
To calculate the down payment required for a car priced at $8,000 with a 10 percent down payment, you need to multiply the price of the car by the down payment percentage.
The given information states that the price of the car is $8,000.
The down payment percentage specified by the dealer is 10 percent. In decimal form, this is represented as 0.10.
To calculate the down payment amount, we multiply the price of the car ($8,000) by the down payment percentage (0.10).
Down payment = $8,000 × 0.10
Performing the multiplication:
Down payment = $800
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Which of the following are necessary to describe a rotation of a figure on a coordinate plane? choose all that apply.
a. the center of rotation.
b. the shape of the figure.
c. the number of degrees of the rotation.
d. the direction of the rotation.
The necessary components to describe a rotation on a coordinate plane include the center of rotation, the shape of the figure, and the number of degrees of rotation.
To describe a rotation of a figure on a coordinate plane, the necessary components include the center of rotation, the shape of the figure, and the number of degrees of rotation.
a. The center of rotation is a fixed point around which the figure rotates. It serves as the anchor for the rotation and determines the position of the figure after the rotation is applied.
b. The shape of the figure refers to its size, proportions, and geometric characteristics. This information is crucial as the figure retains its original shape during the rotation.
c. The number of degrees of rotation determines the magnitude of the rotation. It specifies how much the figure is rotated around the center of rotation. Positive angles indicate counterclockwise rotations, while negative angles represent clockwise rotations.
d. The direction of rotation is not necessary to describe a rotation on a coordinate plane. The rotation can be defined solely by the center, shape, and angle of rotation.
In summary, the essential components to describe a rotation on a coordinate plane include the center of rotation, the shape of the figure, and the number of degrees of rotation. The direction of rotation is not required to define the rotation.
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Find the area of the figure
Answer:
40
Step-by-step explanation:
because 8 times 5 is 40
Answer:
49.82 cm²
Step-by-step explanation:
Answer attached..
Hope it helps ^_^
Question 5 of 10
Which pair of functions are inverses of each other?
O A. f(x) = 2 + 15 and g(x) = 12x - 15
O B. f(x) = √3x and g(x) = () ³
O c. f(x) = 3 - 10 and g(x) = +10
3
D. f(x) = 11x-4 and g(x) = +4
The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11
To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.
Let's test each option:
Option A:
f(x) = x/2 + 15
g(x) = 12x - 15
f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x
g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x
Option B:
f(x) = ∛3x
g(x) = (x/3)^3 = x^3/27
f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x
g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x
Option C:
f(x) = 3/x - 10
g(x) = (x + 10)/3
f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x
g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x
Option D:
f(x) = 11x - 4
g(x) = (x + 4)/11
f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x
g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x
Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:
D. f(x) = 11x - 4 and g(x) = (x + 4)/11
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How do you find the limit of one side?
One must evaluate the function as the independent variable gets closer to the point from the provided side.
So in order to determine the limit of a function at a point from one side, one must evaluate the function as the independent variable gets closer to the point from the provided side. Take the subsequent function, for instance: scss. Copy the code f(x) = (x2 - 4) /. (x - 2)
You can evaluate the function for x values that are getting closer to 2 but always greater than 2 in order to determine the limit of this function as x approaches 2 from the positive side (i.e., as x goes closer and closer to 2 from values greater than 2). The function can be evaluated, for instance, at x = 2.1, x = 2.01, x = 2.001, and so forth. The function values will approach the target value as x approaches 2, which is 2. In order to determine the limit of this function as x approaches 2 from the positive side (i.e., as x goes closer and closer to 2 from values greater than 2). The function can be evaluated, for instance, at x = 2.1, x = 2.01, x = 2.001, and so forth.
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what is the area of the rectangle in a square centimeters
Answer:
width x length
Step-by-step explanation:
To find the area of a rectangle you always do the equation width times length
The figure below shows trapezoid , with
.
Which of these CANNOT be shown to be true using theorems of triangle similarity?
Choose all that are correct.
In the trapezoid, the options that cannot be shown to be true using theorems of triangle similarity is A. AAEB and ADEC
How to explain the informationTheorems of triangle similarity state that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
In the given trapezoid, we know that angles ABC and DCE are congruent because they are corresponding angles of parallel lines. However, we do not know that angles AEB and AED are congruent. In fact, they may not be congruent. For example, if AB is much longer than DC, then angle AEB will be much larger than angle AED.
Therefore, we cannot use theorems of triangle similarity to show that triangles AEB and AED are similar. The answer is AAEB and ADEC.
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Solve the inequality 2(4x – 3) ≤ 5x – 27
Answer:
( -7, ∞)
Step-by-step explanation:
2(4x - 3) ≥ 5x - 27
8x - 6 ≥ 5x - 27
3x - 6 ≥ -27
3x ≥ -27 +6
3x ≥ -21
x ≥ -7
All numbers great than -7
Express your answer in scientific notation.
4.9 X 10^5 – 5.8 X 10^4
WILL MARK BRAINLIST
Answer: =432000
Step-by-step explanation: Hope this help :D
For each of the conservative vector fields below, find a potential function f.
(1) F=4yzi+4xzj+4xyk : f =
(2) F=8xyi+(4x2+8yz)j+4y2k : f =
(1) The potential function for conservative vector field F=4yzi+4xzj+4xyk is f=4xyz+C. (2) The potential function for F=8xyi+(4x^2+8yz)j+4y^2k is f=4x^2y+4y^3/3+C.
To find a potential function f for a conservative vector field F, we need to find a scalar function whose gradient is equal to F. That is, we need to find a function f(x, y, z) such that:
∇f = F
where ∇ is the gradient operator. To do this, we can find the potential function by integrating each component of F with respect to its corresponding variable.
(1) F = 4yz i + 4xz j + 4xy k
∂f/∂x = 4yz
∂f/∂y = 4xz
∂f/∂z = 4xy
Integrating the first equation with respect to x, we get:
f = ∫4yz dx = 4xyz + C1(y, z)
where C1(y, z) is an arbitrary constant of integration that depends on y and z.
Taking the partial derivative of this expression with respect to y, we get:
∂f/∂y = 4xz + ∂C1/∂y
Comparing this with the second component of F, we see that ∂C1/∂y = 0, so C1(y, z) must be a constant with respect to y.
Similarly, taking the partial derivative of the expression for f with respect to z, we get:
∂f/∂z = 4xy + ∂C1/∂z
Comparing this with the third component of F, we see that ∂C1/∂z = 0, so C1(y, z) must be a constant with respect to z as well.
Therefore, the potential function for F is:
f = 4xyz + C
where C is a constant.
(2) F = 8xy i + (4x^2 + 8yz) j + 4y^2 k
∂f/∂x = 8xy
∂f/∂y = 4y^2
∂f/∂z = 8yz
Integrating the first equation with respect to x, we get:
f = ∫8xy dx = 4x^2y + C1(y, z)
where C1(y, z) is an arbitrary constant of integration that depends on y and z.
Taking the partial derivative of this expression with respect to y, we get:
∂f/∂y = 4x^2 + ∂C1/∂y
Comparing this with the second component of F, we see that ∂C1/∂y = 4y^2, so we integrate this with respect to y:
C1(y, z) = 4y^3/3 + C2(z)
where C2(z) is an arbitrary constant of integration that depends on z.
Similarly, taking the partial derivative of the expression for f with respect to z, we get:
∂f/∂z = 8yz + ∂C1/∂z
Comparing this with the third component of F, we see that ∂C1/∂z = 0, so C2(z) must be a constant with respect to z.
Therefore, the potential function for F is:
f = 4x^2y + 4y^3/3 + C
where C is a constant.
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solve for x 3x - 4 = 3x - 10
Answer:
no solution
Step-by-step explanation:
3x - 4 = 3x - 10
Subtract 3x from each side
3x-3x - 4 = 3x-3x - 10
-4 = -10
This is never true so there is no solution
Answer:
Step-by-step explanation:
I think you might have copied down the problem incorrectly.
If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:
3x-4=3x-10
+10 +10
3x+6=3x
-3x -3x
6=0 (which is FALSE)
Hope this helps!
P.S. Please give me brainliest. Thanks :)
Look at the polyhedron that you chose at the beginning. Which two solids do you need to create your polyhedron? How many of each solid do you need?
Answer:
2 Tetrahedrons combined create an Octahedron.
Step-by-step explanation:
Despite the lack of information.
The Plato Polyhedrons are Tetahedron, Cube (Hexaedron), Dodecahedron, Octahedron and Icosahedron. They are regular ones, made up by regular plane figures.
An Octahedron can be built by combining two pyramids. Each Tetrahedron is made up by 4 equilateral triangle.
Write the following numbers in
order from least to greatest.
-2, 4, 0, -3, 1
What is the difference between a checking and savings account quizlet?
A checking account is used for daily basis transaction and a debt and is usually associated with it.Saving accounts is just used for saving money.It has a time limit then you can withdraw your money.It is not on daily basis.
What is check account quizlet?A bank account that allow the user to withdraw the money ,pay bill,transfer money to other person or make a purchase anything by writing checks.Check accounts typically don't earn interest.By checking accounts we can easily deposit and withdraw money for daily transaction.
What is saving account quizlet?Saving accounts are intended for storing your money which you don't plan to use daily.saving accounts earns interest at your money.saving account is designed for the accumulation of money in a safe place for future use.saving accounts offer easy access to your money in any emergency.so keeping your money in a saving account means that your money is safe for your future use.
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Compare these rational numbers. Which of the following are true?
Answer:
i. false
ii. true
iii. true
iv. false
When comparing negative numbers, if you disregard the negative sign, the apparent greater value will actually be the smaller.
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
Select the correct answer. Consider the functions.
f(x) = x^2 - 5x + 6
g(x) = |x-2|
Using a table of values, what are the solutions to the equation f(x) = g(x)
A. x = 2 and x = 4
B. x = -2 and x = -4
C. x = 2 and x = -4
D. x = -2 and x = 4
Answer:
B x =-2 and x = -4
Step-by-step explanation: