The different ways can a student check off one answer to each question is 1024.
It is required to find the different ways can a student check off one answer to each question.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
If a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,
,To find how many different ways can a student check off one answer to each question we have,
: 4^5 = 2^10
= 1024
Therefore, the different ways can a student check off one answer to each question is 1024.
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We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5h.
How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard?
How many centimeters of snow accumulate per hour?
Please helpppp.Will vote the brainliest?I don't understand
Answer:
1.5
2.1/5
Step-by-step explanation:
a submarine is traveling 200 feet below sed level it then ascends 75 feet what is the new position of the submarine?
Answer: 83
Step-by-step explanation:
you travill 25 feet long
Which is the graph of f(x) = 100(0.7)x? On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 9) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 70) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 30) and (0, 100). Mark this and return
Answer:
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Which is the graph of the given function?
Here we have the exponential decay:
f(x) = 100*(0.7)^x
So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).
Now, if we evaluate in x = 0 we get:
f(0) = 100*(0.7)^0 = 100
Then it goes through the point (0, 100).
If we evaluate in x = 2, we get:
f(2) = 100*(0.7)^2 = 49
Then it also goes through the point (2, 49).
With all that in mind, the correct option is:
"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."
Damian is making dumplings. If he uses 1/2
cup of dough for each dumpling, how many cups of dough does Damian need to make 16 dumplings? Express your answer in simplest form.
Answer:
8 cups
Step-by-step explanation:
Amount of cups of dough for each dumpling × Number of dumplings = Number of cups of dough
1/2 × 16 = 8
8 is the simplest form; cannot be simplified.
Hope this helps! ^^
According to descartes's rule of sign, how many possible positive and negative roots are there for the equation 0=−4x6−3x5 2x2−4x 1?
There are three possible positive and one negative root for the equation.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the equation as
⇒ -4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0
Check the polynomial "as is" for positive zeros, the symbol changes three times. This means that you might either have one or three positive zeros. If they are imagined, they will depart in pairs.
So changes signs 3 times: possible positive roots 3 or 3-2=1
The polynomial must be rewritten as [tex]f(-x)[/tex] for negative zeroes, or
⇒ -4x⁶ + 3x⁵ + 2x² + 4x + 1
This polynomial changes signs just once, So There will have 1 negative zero.
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The question seems to be incomplete the correct question would be
According to Descartes's rule of sign, how many possible positive and negative roots are there for the equation
-4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0
Find the position of F, on this number line. Please help, I need this explanation really fast
Answer:
1 5/6
Step-by-step explanation:
How many 7 digit phone number combinations are possible, except now assume that the phone number is not allowed to start with 911?
9990000 are 7 digit phone number combinations are possible.
what is permutation and combination?
In mathematics, there are two additional methods for dividing a set of components into subsets: combination and permutation. The elements of the subset may be mixed in any order. The subset's elements are listed in a permutation in a certain order.Find every 7-digit phone number combination that exists first.
Given that the digit can be repeated, a total of 107 combinations are available.
The next step is to identify all conceivable combination of seven-digit numbers that begin with "911."
since it begins with "911" Therefore, there are just 4 digits left. 104 combinations are thus feasible in total.
The total number of potential combinations that begin with "911" is then subtracted.
We finally get
10⁷ - 10⁴
= ( 10³ - 1 ) × 10⁴
= 999 × 10⁴
= 9990000
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0.00541 divided by 10^2
Answer:
=0.0000541
Step-by-step explanation:
[tex]\frac{0.00541}{10^2}[/tex]
[tex]\frac{0.00541}{100}[/tex]
[tex]=0.0000541[/tex]
Answer:0.0000541
Step-by-step explanation:
Firstly, you'll simplify 10².
10²÷0.00541 ---> 100 ÷ 0.00541
Then, you'll divide 100 by 0.00541.
100 ÷ 0.00541 ---> 18484.2883549
Solve the simultaneous equation
-4x+3y=1
6x-y=2
Answer:
x = 1/2 or 0.5, y = 1
Step-by-step explanation:
it just means a system of equations.
-4x + 3y = 1
6x - y = 2
let's multiply the second equation by 3 and add both resulting equations :
-4x + 3y = 1
18x - 3y = 6
-------------------
14x 0 = 7
14x = 7
x = 7/14 = 1/2 = 0.5
6x - y = 2
6×1/2 - y = 2
3 - y = 2
-y = -1
y = 1
2x3-x2-2x+1 divided by 2x-1
Answer: we have to divide a
This should be done by using a long division method.
multiply x+1 by
Therefore the quotient is
The remainder is 0
Step-by-step explanation: hope this helps
Answer:
2x^3-7x/2 -1
Step-by-step explanation
Let me know if this is an option. I was unsure if the x was the letter x or the multiplication symbol. Thanks, let me know
write an equation for the following math sentence
one fourth times the difference of ten and a variable
Given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)
In this question, we have been given a mathematical statement 'one fourth times the difference of ten and a variable'
We need to write an equation for the given math sentence.
Given math sentence: one fourth times the difference of ten and a variable
Let the variable be 'x'
We rewrite above statement as,
one fourth times the quantity ten minus x
⇒ 1/4 × (10 - x)
so, we get an expression 1/4 (10 - x)
Therefore, given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)
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I-phones have been in such demand that their price goes up by $25 every year. If they were $430, what is the
new price 6 years later?
what is the answer of 3x + 4 = 2 x - 1
Answer: x = -5
Step-by-step explanation:
3x + 4 = 2x - 1
3x = 2x -5
x = -5
11/20 in simplest form
Answer:
11/20
Step-by-step explanation:
this fraction is simplified as much as possible and no longer can be simplified. 11/20 is in its simplest form
hope this helps!
A building in a city has a rectangular base. The length of the base measures 75 ft less than three times the width. The
perimeter of this base is 810 ft. What are the dimensions of the base?
The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
What are the dimensions of the rectangle base?The perimeter of rectangle is expressed as;
P = 2( l + w )
Given the data in the question;
Let x represent the width of the rectangular base.
Width w = xLength = l = 3x-75Perimeter P = 810ftPlug these values into the equation above.
P = 2( l + w )
810 = 2( (3x-75) + x )
810 = 6x - 150 + 2x
810 = 8x - 150
8x = 810 + 150
8x = 960
x = 960/8
x = 120
Hence,
Width of the rectangle = x = 120ft
Length of the rectangle = 3x-75 = 3(120) - 75 = 285ft
Therefore, the dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.
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compare 6.51326 and square root of 39 show your work
Write the equation using y=mx+b
We cannot write vertical lines in the format y = mx+b
This is because the slope of any vertical line is undefined.
The equation of this red line is x = 5. All points on this line have the same x coordinate of 5. Two such points being (5,0) and (5,1)
solve the inequality for y
3y+8<65
Answer:
Step-by-step explanation:
y < 19
hope this helps :)
2x24 equals 2x. x6 whats the answer
help me out!(with explanation)
Answer:
a) 512cm³ b) 2 × 2 ×2
Step-by-step explanation:
A CUBE'S LENGTH WIDTH AND HEIGHT ARE EQUAL
a) Volume of a cube = length × width × height
as the length width and height are equal so it will be
8 × 8 × 8 = 512
b) Volume of a cube = length × width × height
as length, width and height are equal lets suppose the value of each of them will be = x
volume = x × x × x
vol = x³
8 = x³
∛8 = x
x = 2
On the graph below, draw any line with a slope of *positive* 2 and draw any line with a slope of *negative* 2.
Refer to the image for the graph of the lines.
The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.
We need to draw any line with a slope m = 2, and
another line with a slope m = -2.
Disclaimer: Let us assume that the constant c = 0.
Then the equation to the line with a slope of "positive" 2 is given by
y = 2x
Then the equation to the line with a slope of "negative" 2 is given by
y = -2x
Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.
f: green line indicates a line with a slope of "positive" 2.
g: blue line indicates a line with a slope of "negative" 2.
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Select the correct answer.
Which expression is equivalent to the given expression?
45
A.
9
5
B.
3
5
C.
5
3
D.
5
9
The expression which is equivalent to the given expression is option B. 3(5)^1/2
What is a surd?A surd is a topic which involves expressing a given number with a square root. Thus to arrive at the final expression, the answer is either a whole number or an expression involving a square root.
When a question involving a square root is given, the answer is a number which should be squared to give the same value in the given question.
Given: 45^1/2
we have;
45^1/2 = (5 x 9)^1/2
= 3(5)^1/2
So that the expression which is equivalent to the given expression is option B. 3(5)^1/2
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The expression that is equivalent to the given surd expression is; Option B. 3√5
How to solve surd problems?In Mathematics, surds are defined as the values in square root that cannot be further simplified into whole numbers or integers. Thus, surds can be classified as irrational numbers.
The question gives the surd expression as √45.
Now, according to surds product rule, we know that;
√45 = √(9 * 5)
= √9 * √5
= 3√5
Thus, we conclude that is the final simplification of the given surd expression.
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if [tex]i = \sqrt{-1}, what is i^3[/tex]i^3 equal to?
Benson was inspired after reading a book on the Boston Marathon and decided he wanted to become a runner. On his first day of running, he weighed 197 pounds. After just six months of running, he weighed 181 pounds. What is the absolute change in Benson's weight over the first six months of his running journey?
Answer:16
Step-by-step explanation:
subtract the old number by the new number
197-181=16
22 ml of rboh is titrated with 35 ml of 0.9 m hf. what is the concentration of the base?
22 ml of rboh is titrated with 35 ml of 0.9 m hf. The concentration of the base is 1.43M.
What is titration?Titration is a method of chemical analysis in which the amount of a sample's ingredient is determined by adding an exact known amount of a different substance to the measured sample in which the desired constituent interacts in a specific, known proportion. Titrating reagent, or titrant, is often added to a standard solution (i.e., a solution of known concentration) using a burette, which is essentially a long, graduated measurement tube with a stopcock and a delivery tube at its bottom end. When the equivalence point is achieved, the addition is terminated.
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suppose that your college administration wants to charge a $100 fee per term for a reserved parking space on campus. the administration wants to know the percentage of students at the college who would support this fee. which sampling plan will best represent the opinions of students at your college?
Answer: When students register online, the question appears in a pop-up window that must be answered in order to proceed with registering. If students register in person, make them answer the question before their registration is processed.
Step-by-step explanation:
If two cellphones are randomly selected from the box what is the probability there will be one green cellphnone and one yellow cellphone?
The probability that one green and one yellow is selected (without replacement) is 3/7.
What are examples and probability?
It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability. For instance, the theoretical chance of receiving a head while tossing a coin is 12.Probability that one green and one yellow is selected (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows
Pr = [tex]\frac{G}{n} * \frac{Y}{n - 1 } + \frac{Y}{n} * \frac{G}{n- 1}[/tex] The subtraction means the cellphones are not replaced
This gives
[tex]Pr = \frac{6}{8} * \frac{2}{8 - 1} + \frac{2}{8} * \frac{6}{8 - 1}[/tex]
[tex]Pr = \frac{3}{4} * \frac{2}{7} + \frac{1}{4} * \frac{6}{7}[/tex]
[tex]Pr = \frac{3}{14} + \frac{3}{14}[/tex]
take lcm
[tex]Pr = \frac{3}{7}[/tex]
Hence, the probability that one green and one yellow is selected (without replacement) is 3/7.
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mathhhhhhhhhhhhhh._ help plsssssss
Answer:
[tex](-4,-\frac{1}{2})[/tex]
Step-by-step explanation:
The midpoint of a line segment can be found using the midpoint formula below:
[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]
Note that [tex](x_1,y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate of the end points.
Let's identify the coordinates of the two end points, A and B.
On both axes, a square represents 1 unit.
A(-5, -4) and B(-3, 3)
Applying the midpoint formula,
midpoint
= [tex](\frac{-5-3}{2} ,\frac{-4+3}{2} )[/tex]
= [tex](\frac{-8}{2},\frac{-1}{2} )[/tex]
= [tex]\bf{(-4,-\frac{1}{2}) }[/tex]
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Tiffany buys a circular mirror. She
wants to decorate the mirror by gluing
ribbon along the outer edge of the
mirror. How long is the ribbon if the
mirror has a 15 inch radius?
Area = 70,6.5 inch² long is the ribbon if the mirror has a 15 inch radius .
What area is a circle?
A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.
Describe Area -
The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.
Tiffany buys a circular mirror.
r = 15 inch
long is the ribbon if the mirror has = πr²
= 3.14 × 15 × 15
= 70,6.5 inch²
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Is 30/3 a natural number
Answer:
Yes
Step-by-step explanation:
30/3=10
10 is a whole number, so it is a natural number.
