What is the square root of 75 in simplified form?
Answer:The answer is
5 3
Step-by-step explanation:
Salvage system algebraically. Show all your work in circle your answers
The mass of mercury is 330,200,000,000,000,000,000,000 kilograms. how can this number be written in scientific notation?
Final answer:
The mass of mercury, 330,200,000,000,000,000,000,000 kg, can be written in scientific notation as 3.302 × 10²⁰ kg. Scientific notation helps to express very large numbers in a more manageable form, using a coefficient between 1 and 10 multiplied by a power of ten.
Explanation:
To write the mass of mercury in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of ten. The mass given is 330,200,000,000,000,000,000,000 kilograms, which can be written as 3.302 × 10²⁰. Since there are 20 digits to the right of the first digit (3), the exponent in the scientific notation will be 20.
In scientific notation, the mass of mercury is thus written as 3.302 × 10²⁰ kg.
When converting to scientific notation, we use multiplication and division techniques to adjust the original number, so the resulting coefficient is a value from 1 up to, but not including, 10. This method is commonly used by scientists and astronomers when dealing with astronomical numbers, as in this case with the mass of a planet or in chemistry with the mass of an atom.
Which number produces a rational number when added to 0.6?
A. 0.5050050005...
B. square root of 2
C. pie
D. 5/7 (fraction)
Answer:
Correct option is D.
Step-by-step explanation:
we have to choose the option for which number produces a rational number when added to 0.6
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or finite(infinite then repeating). If they aren't, then these are called irrational numbers.
Let's try each of the choices:
A. The term 0.5050050005... is irrational number. Now, when 0.6 is added to it, the sum would be irrational.
B. √2 is an irrational number because its exact value is 1.4142135.. Even if you add 0.3 to it, the answer would still be irrational
C. Obviously, π is an irrational number and addition of rational to irrational always results in irrational.
D. The term [tex]\frac{5}{7}[/tex] is a rational number. Now, when 0.6 or [tex]\frac{6}{10}[/tex] is added to it, the sum would be [tex]\frac{92}{70}[/tex] This is a rational number.
Therefore, the answer is D.
Gabby solved x2 - 3x = 4 as shown below:
x2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = -4 and x = 1
Caitlyn says Gabby is wrong and believes this is the solution:
x2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = 4 and x = -1
Is Gabby or Caitlyn correct? What mistake was made by the incorrect girl? Type your response in the box provided.
HELP PLEASE..answer fast please and show all work and explain how to solve
A 33912 cubic feet
B 2260.8 cubic feet
C 54259.20 cubic feet
D 13564.8 cubic feet
volume of cylinder = pi x r^2 x height
using 3.14 for pi
volume = 3.14 x 12^2 x 30 = 13564.8 cubic feet
D is the correct answer
Determine whether the expression is a polynomial. If it is a polynomial, state the degree of the polynomial.
x^3-9
a. yes, 3
b. yes, 1
c. yes, 2
d. no, it is not a polynomial
Final answer:
The expression x^3 - 9 is indeed a polynomial because it consists of a variable raised to a non-negative integer exponent and a constant. The highest power of the variable is 3, which makes the degree of the polynomial also 3.
Explanation:
To determine whether the expression x^3 - 9 is a polynomial and to state its degree, we need to look at the characteristics of polynomials. A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
The expression in question, x^3 - 9, fits this definition because it involves a single variable x raised to a non-negative integer exponent (3), and a constant term (-9).
Next, to identify the degree of the polynomial, we look for the highest power of the variable in the expression. The highest power of x in x^3 - 9 is 3. Therefore, this expression is indeed a polynomial, and its degree is 3.
The correct answer to the question is: a. yes, 3.
One way to recognize a line of symmetry is to look for a line that divides the original image into
(02.07)Solve for L: A = L ⋅ W ⋅ H
A line with a slope of 0 passes through the point (0, -5) . what is its equation i n slope -intercept form?
Prove or disprove the identity. If you find the identity is true, state the first line of the proof. If you find the identity is false, write the correct equation by replacing the right side.
sin x cos x tan x cot x = 1
A) the identity is true. sin x cos x tan x cot x = cos x
B) the identity is true. sin x cos x tan x cot x = sin x tan x
C) the identity is false. sin x cos x tan x cot x = sin x cos x
D) the identity is false. sin x cos x tan x cot x = sin x
Final answer:
The identity sin x cos x tan x cot x = 1 is false. By using the definitions of tan and cot, we can show that sin x cos x tan x cot x simplifies to sin x cos x.
Explanation:
The student has asked to prove or disprove the identity sin x cos x tan x cot x = 1. To verify this identity, we need to remember the definitions of the trigonometric functions. The tangent (tan) of an angle is the ratio of the sine (sin) to the cosine (cos) of that angle, and the cotangent (cot) is the reciprocal of the tangent.
Therefore, tan x = sin x / cos x, and cot x = cos x / sin x. When we multiply tan x by cot x, we get:
tan x × cot x = (sin x / cos x) × (cos x / sin x) = 1
Now, multiplying this result by sin x cos x gives:
sin x cos x tan x cot x = sin x cos x × 1 = sin x cos x
Therefore, the correct equation is sin x cos x tan x cot x = sin x cos x, which means the correct answer is:
(C) the identity is false. sin x cos x tan x cot x = sin x cos x
what is the solution to y=x+16 and y=-x+4??
Please show work and explanation in how its done...
so i can understand better cause I'm new to these problems...
so i can get all the help i can get (:
8. A brick oven has an opening as shown. What is the area of the entire opening?
A. 22.1 ft2
B. 20 ft2
C. 16.8 ft2
D. 13.5 ft2
which of the following is an example of conditional probability.
A: probability of hitting a home run
B: Probability of getting an A on a test, given that you didn't fail the test
C: probability of drawing a club from a deck of 52 cards
D: probability of getting an A on a test
The example of conditional probability is Probability of getting an A on a test, given that you didn't fail the test.
What is conditional probability?Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.
For Conditional probability, the event should be dependent events.
Also, the probability of an event and the condition is that the other event has already been occurred.
Here, in Probability of getting an A on a test, given that you didn't fail the test is example of conditional probability because " you didn't fail the test " already occurred and now find the probability of getting A.
Learn more about conditional probability here:
https://brainly.com/question/1523913
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Yi's average for her first 3 tests is 88. what musit she score on her last test to bring her average up to 90
is this correct? if not please let me know how to solve it
ABCDEFGHIJ is a regular decagon. Find the length of the apothem. Round the answer to the nearest tenth.
A.
8.0
B.
20.5
C.
24.7
D.
26.0
What's the 6th term in a sequence that starts with -7.5 and has a common ratio of 9?
Geometry Help Please
What is h(x) = –3x2 – 6x + 5 written in vertex form?
h(x) = –3(x + 1)2 + 2
h(x) = –3(x + 1)2 + 8
h(x) = –3(x – 3)2 – 4
h(x) = –3(x – 3)2 + 32
Answer:
its b
Step-by-step explanation:
I just did the assignment
What is the answer to solve negative eight positive negative 2 for integers?
If vertex T' is at (2,-2) what are the coordinates of vertex s
Twice a certain number is tripled. The resulting number is _____.
How to factor x^2+27
Amanda's penny bank is 23 full. After she removes 120 pennies, it is 12 full. How many pennies can Amanda's bank hold?
what is the proportion for 2/3 and 8/10
What is the 32nd term of the arithmetic sequence where a1 = −32 and a9 = −120?
Answer:
-373
Step-by-step explanation:
A
n
=
A
1
+
d
(
n
−
1
)
A
1
=
−
32
A
9
=
−
120
⇒
A
9
=
−
32
+
d
(
9
−
1
)
⇒
−
120
=
−
32
+
d
(
8
)
⇒
−
88
=
8
d
⇒
d
=
−
11
A
32
=
−
32
+
(
−
11
)
(
32
−
1
)
⇒
A
32
=
−
32
+
(
−
11
)
(
31
)
⇒
A
32
=
−
32
+
−
341
⇒
A
32
=
−
373
Which statement is true about the polynomial after it has been fully simplified? (See picture)
select all tht apply
If n-^2 = 1/16, then n could be which of the following?
-8
-4
-1/4
1/4
4