Which of the following is true about the polynomial 4x^3 - 2x? Select all that apply.
A. The polynomial has two terms.
B. The polynomial is a fourth degree polynomial with the appropriate third or fourth terminology replacement.
C. The polynomial has a leading coefficient of 3.
D. The polynomial is written in standard form.
ABCD is a rectangle. Find the length of each diagonal.
Answer: The correct answer is 3
Step-by-step explanation:
C = 3
AC = 3/3 = 1
BD = 4 - 3 = 1
The length of each diagonal is 12/5. This demonstrates that in a rectangle, the diagonals are always equal in length.
In a rectangle, the diagonals are equal in length. Therefore, we can equate [tex]\(AC\) and \(BD\)[/tex].
Given [tex]\(AC = \frac{C}{3}\) and \(BD = 4 - C\)[/tex], we set them equal: [tex]\(\frac{C}{3} = 4 - C\)[/tex]. Solving for \(C\) yields [tex]\(C = \frac{12}{5}\)[/tex].
Substituting this value back into either [tex]\(AC\) or \(BD\)[/tex] gives us the length of the diagonals.
Thus, the length of each diagonal is [tex]\(AC = BD = \frac{12}{5}\)[/tex]. This demonstrates that in a rectangle, the diagonals are always equal in length.
Find the angle with a tangent ratio of 0.9325
Answer:
B. 43
Step-by-step explanation:
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
The answer to your question is B :)
A 3500.00 $ principal earns 3% annual interest, Compounded semiannually after 20 years, what is the balance in the account
On a game show, a contestant randomly chooses a chip from a bag that contains numbers and strikes. The theoretical probability of choosing a strike is 15. The bag contains 8 strikes. How many chips are in the bag?
Final answer:
To find the probability of selecting 3 green marbles out of 10, use the combinations formula. The calculation involves 455 * 6435 divided by 1027227812 to determine the probability.
Explanation:
To calculate the probability of choosing exactly 3 green marbles out of 10 selected, we use the concept of combinations. The formula for combinations is nCr = n! / r!(n-r)!. In this case, the calculation would be 15C3 * 35C7 / 50C10, which simplifies to 455 * 6435 / 1027227812, resulting in the probability of choosing exactly 3 green marbles out of 10 selected.
please help understand this and get it done.
Carla borrowed $1,400 for three months at 9.75% interest. How much
interest did she pay for the loan?
a. $34.13
b. $49
c. $136.50
d. $1,547
HELP ASAP (ANSWER IS NOT D)
Carla paid $34.13 as interest for the $1,400 loan at 9.75% for three months that is option A is the correct answer.
The interest Carla paid for the loan is $34.13.
Calculate the interest using the formula: Interest = Principal x Rate x Time.
Substitute the values for Principal, Rate, and Time into the formula to find the interest amount.
For Carla's loan ($1,400 at 9.75% for three months), the interest is calculated to be $34.13.
Please help!? I'll give you a medal:D
1. a tessellation is a ___________________ pattern of figures.
A. Reflecting
B. Repeating
C. Symmetrical.
2. A tessellation has no _______
A. Gaps and overlays
B. translations
c. repeated figures.
What power do you raise a number to to get the square root of it?
He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,
The measure of one angle in an octagon is 135.625 degrees.
Explanation:Let's denote the measure of one angle as x.
Since there are eight angles in an octagon,
the sum of all the angles in the octagon is 180(x) + 7(2x) = 180x + 14x = 194x.
We know that the sum of the angles in any polygon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon.
Therefore, 194x = (8-2) × 180. Solving this equation,
we find that x = 135.625. So, the measure of each angle is 135.625 degrees.
Learn more about Polygon angles here:https://brainly.com/question/32997378
#SPJ12
Can someone help me...?
The perimeter of a rectangular outdoor patio is 60 ft. the length is 4 ft greater than the width. what are the dimensions of the patio? l w
The length of rectangular outdoor patio is 17 feet and the width is 13 feet.
Given that, the perimeter of a rectangular outdoor patio is 60 ft.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangular outdoor patio be x.
Then, the length is 4 ft greater than the width = x+4
Now, perimeter = 2(x+x+4)
⇒ 2(2x+4) = 60
⇒ 4x+8=60
⇒ 4x=52
⇒ x=13
Length = x+4 = 17
Therefore, the length of rectangular outdoor patio is 17 feet and the width is 13 feet.
To learn more about the perimeter of a rectangle visit:
https://brainly.com/question/15287805.
#SPJ2
Pls, answer!! I will mark the 1st person to answer correctly with work as brainliest for 20 points!
Lucy watched TV for 25 of an hour on Monday. She watched 79 of an hour on Tuesday. What day did she spend more time watching TV?
A animal shelter has 16 puppies. If the puppies are 32% of the total dogs and cats population, how many dogs and cats are in the animal shelter?
The total number of animals in a shelter is 50 and number of cats in the shelter is 34.
Given that, a animal shelter has 16 puppies. If the puppies are 32% of the total dogs and cats population.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let x be the total number of dogs and cats are in the animal shelter.
So, 32% of x=16
⇒ 32/100 ×x=16
⇒ 0.32x=16
⇒ x=16/0.32
⇒ x=50
So, number of cats =50-16
= 34
Therefore, the total number of animals in a shelter is 50 and number of cats in the shelter is 34.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ5
helpppppppppppppppppp
What is the solution to the equation 5x = 40?
given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4)
Help me please!!!!!!!
PLEASE HELP!!!! :(
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 17°31'. When the boat stops, the angle of depression is 46°41'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.
By using the tangent function and the angles of depression given, we can calculate the distances from the boat to the lighthouse when it was first spotted and when it stopped. Subtracting the second distance from the first gives us the distance the boat traveled.
Explanation:This is a question about Trigonometry, involving the concepts of angles of depression and distances. In the situation presented, we are given the height of the lighthouse (200 feet), and two angles of depression - 17°31' when the boat was first noticed and 46°41' when the boat stopped. We can use the tangent function to calculate the distance from the lighthouse to the boat at these two points, then subtract these distances to find how far the boat traveled.
The tangent of an angle in a right triangle is equal to the opposite side divided by the adjacent side. Therefore, when the angle of depression was 17°31', we can use the equation tan(17°31') = 200/distance1 to solve for the first distance. Similarly, for the angle of depression 46°41', we use the equation tan(46°41') = 200/distance2.
Solving these two equations separately will give us the distances from the boat to the lighthouse at these two moments. Then we subtract distance2 from distance1 to get the distance the boat traveled.
Learn more about Angles of Depression here:https://brainly.com/question/11348232
#SPJ11
What is the slope of the line 3x + 4y = -11?
answers:
3\4
-3\4
3
4
Final answer:
To find the slope of the line given by 3x + 4y = -11, the equation is rearranged into the slope-intercept form, yielding a slope (m) of -3/4.
Explanation:
The question asks: What is the slope of the line 3x + 4y = -11?
To find the slope of the line, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept. Starting with the given equation
3x + 4y = -11We isolate y on one side by first moving 3x to the right side of the equation, and then dividing everything by 4:
4y = -3x - 11y = (-3/4)x - 11/4Now, in the form of y = mx + b, it's clear that the slope (m) of the line is -3/4.
How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?
Determine whether each triangle with sides of given lengths is a right triangle. Hint: Set a2+b2=c2a2+b2=c2 If One side is equal to the other, then it's a right triangle. It sides are not equal, then it's not a right triangle. a = 6 cm b= 8 cm c = 10 cm
answers yes or no
6.The Polygon Similarity Postulate states that two polygons are similar if and only if there is a correspondence between their angles and their sides so that all corresponding angles are and all sides are proportional. _________
7.Similar figures have the same shape but are not necessarily the same size.
True
False
8.A directed line segment partitioned with a ratio of 4:3 would be divided into how many equal parts.
4
3
7
12
9.The ratio of the length of a side of an image to the length of the corresponding side of its pre-image is called the scale factor.
True
False
10.All properties of Proportions are valid, given that there is no ______________ in the denominator of the fraction representing the ratios.
The yearly profit of a company in thousands of dollars is given by the finction P(x) =3000+1200-6x^2 where x is the amount in thousands the company spneds on advertising. Find the amount ,x, that the company has to spend to maxamize its profit
an internet passcode consists of a digit followed by a letter, followed by another digit. Assuming the digits are 0-9, how many different passcode are possible?
Answer:
2600
Step-by-step explanation:
The line through (8, 0) with slope -3/4 in slope-intercept form
Simplify by using radical. Rationalize denominators.
[tex] 2a^{-1/2} [/tex]
Answer:
[tex]\frac{2\sqrt a}{a}[/tex]
Step-by-step explanation:
The given equation is [tex]2a^{-1/2}[/tex]
The exponent rule: [tex]x^{-a}=\frac{1}{x^a}[/tex]
Using this rule, we get
[tex]2a^{-1/2}\\\\=\frac{2}{a^1/2}[/tex]
We can rewrite this in radical form as
[tex]\frac{2}{\sqrt a}[/tex]
Rationalize the denominator by multiplying numerator and denominator by [tex]\sqrt a[/tex]
[tex]\frac{2}{\sqrt a}\cdot \frac{\sqrt a}{\sqrt a}[/tex]
On simplifying
[tex]\frac{2\sqrt a}{a}[/tex]
What is the sum of the first 7 terms of the series −8+16−32+64−