Final answer:
In conversions from binary to hexadecimal, 4 binary digits are equivalent to 1 hexadecimal digit due to the fact that the base-16 system of hexadecimal can represent any combination of 4 binary digits (base-2 system).
Explanation:
When converting from binary to hexadecimal, 4 binary digits are equivalent to 1 hexadecimal digit. This is because binary is a base-2 system and hexadecimal is a base-16 system. Each hexadecimal digit can represent 4 binary digits since 24 = 16. Here's a quick conversion table for single binary digits to hexadecimal:
0000 = 0
0001 = 1
0010 = 2
0011 = 3
0100 = 4
0101 = 5
0110 = 6
0111 = 7
1000 = 8
1001 = 9
1010 = A
1011 = B
1100 = C
1101 = D
1110 = E
1111 = F
Therefore, when performing this conversion, group the binary numbers into sets of 4 digits from right to left and then convert each group to the corresponding hexadecimal digit.
Find the distance between points (1,3) and (5,7) round the answer to two decimal points
Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below.
Answer:
581.25
Step-by-step explanation:
Use the formula for when the last term is unknown. It is [tex]s_{n} = \frac{a_{1} - a_{1} (r)^{n} }{1-r}[/tex].
For this equation [tex]s_{n}[/tex] (sum of the numbers)= [tex]s_{5}[/tex], [tex]a_{1}[/tex] (amount of first term) = 300, r (ratio)= .5, and n (number of terms) = 5. Knowing this, we plug them into the equation. It would look like: [tex]s_{10} = \frac{300 - (300)(0.5)^{5} }{1-0.5}[/tex].
First, we solve the exponents. 0.5 to the fifth power = .03125. Now multiply it by the nearest number in parentheses, which is 300. You should get 9.375.
Now, subtract that from 300. 300 - 9.375 = 290.625. Your numerator is 290.625.
Simplify your denominator. 1 - 0.5 = 0.5.
Divide.
[tex]\frac{290.625}{0.5} = 581.25[/tex]
581.25
I tried to make sure there were no typos! Please let me know if I missed something :)
Your regular pay of $67, plus tips, came up to $182.50. How much were the tips? Be sure to write your answer in dollars and cents. $115.50 $67 $182.50 Not enough information
Answer:
115.50
Step-by-step explanation:
I took the test
XY=11d\ YZ=9d-2\ \ xz=5a+22
A=6 YZ= 38
Scott bought 6 pounds of flour for $4 . how many dollars did he pay per pound of flour?
Final answer:
Scott paid approximately $0.67 per pound of flour, calculated by dividing the total cost of $4 by the total weight of 6 pounds.
Explanation:
The student asked: Scott bought 6 pounds of flour for $4. How many dollars did he pay per pound of flour?
To figure out the cost per pound of flour, you need to divide the total cost by the number of pounds.
Step-by-Step Calculation:
Write down the total cost of the flour, which is $4.
Write down the total weight of the flour, which is 6 pounds.
Divide the total cost by the total weight to find the cost per pound: $4 ÷ 6 pounds
The result is approximately $0.67 per pound.
Scott paid approximately $0.67 for each pound of flour.
If the discriminant is 16 in a quadratic equation what is true about its solutions
If the discriminant in a quadratic equation is 16, a positive number, then the quadratic equation will have two distinct real solutions.
Explanation:In mathematics, particularly in quadratic equations, the discriminant plays a vital role in determining the nature of the solutions. The discriminant in a quadratic equation is the part under the square root in the quadratic formula, and it is usually represented by the symbol Δ (Delta). The quadratic formula is given by x = [-b ± sqrt(Δ)] / 2a. Now, if the discriminant is 16 (a positive number), then the quadratic equation will have two distinct real solutions. This is because the square root of a positive number yields two real numbers (one positive and one negative) which provide the two solutions when substituted back into the quadratic formula.
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what strategies can be used to divide whole numbers?
1.75 feet, 1 7/12 feet, and 1 2/3 feet which is the length of the longest bar and what was the length for the shortest bar?
What is the difference between a plane (in geometry) and a piece of paper?
Louis spent 12 hours last week practicing guitar. If 1/4 of the time was spent practicing chords, how much time did Louis spend practicing chords?
Final answer:
Louis spent a total of 3 hours practicing chords last week, which is 1/4 of the total 12 hours he dedicated to practicing guitar.
Explanation:
Louis spent 12 hours last week practicing guitar. To calculate the amount of time he spent practicing chords, we need to find 1/4 of 12 hours since 1/4 of the time was dedicated to chords.
Here is the calculation:
Divide the total time by 4 to find 1/4 of 12 hours: 12 hours ÷ 4 = 3 hours.
So, Louis spent 3 hours practicing chords last week.
11x+7y=49 in y=mx+b format
WILL MARK BRAINLYIST!
Which postulate or theorem proves that △RMN and △QPN are congruent?
A. AAS Congruence Theorem
B. SSS Congruence Postulate
C. ASA Congruence Postulate
D. SAS Congruence Postulate
Answer: C. ASA Congruence Postulate proves that △RMN and △QPN are congruent.
Given: △RMN and △QPN where RN=NQ and ∠R=∠Q
To prove: △RMN ≅△QPN
Proof:- In △RMN and △QPN
∠R=∠Q............[given]
RN=NQ............[given]
∠RNM=∠PNQ............[vertically opposite angles]
∴△RMN ≅△QPN [by ASA Congruence Postulate ]
Therefore,C. is the right answer. ASA Congruence Postulate proves that △RMN and △QPN are congruent.
ASA Congruence Postulate states that is two angles and the included side is equal to the two angles and the included side of the other triangle, then the triangles are said to be congruent.
The table shows the growth of a type of bacteria. How many bacteria will be present after 6 hours? [Use an exponential regression curve.]
Answer:
3404
Step-by-step explanation:
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why ABC LMN?
Answer:
D, E, and F
Step-by-step explanation:
D. SAS can be used, side-angle-side. The angle is the right angle in both and right angles always are congruent since they can only measure 90 degrees. The heights of both triangles are marked with the same number of slashes, so they are congruent; likewise, the bases are marked with the same number of slashes, so they are congruent. Since the angle is between the sides, or included, this is SAS.
E. HL can also be used since the hypotenuses of both triangles are marked with the same number of slashes, they are congruent. We already decided the legs of both were congruent to each other.
F. LL (which is also exactly the same as SAS) can also be used since we already decided that the legs in both triangles are congruent.
More information about the diagram and angles and sides is needed to determine the congruence theorems or postulates that can be applied.
Explanation:In order to determine which congruence theorems or postulates can be used to prove that triangles ABC and LMN are congruent, we need more information about the diagram and the given angles and sides. Without that information, it is not possible to determine which congruence theorems or postulates can be applied.
Factor. 2xy+5x−12y−30
Answer: The required factored form of the given expression is [tex](x-6)(2y+5).[/tex]
Step-by-step explanation: We are given to factorize the following expression :
[tex]E=2xy+5x-12y-30~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following property :
[tex]a(b+c)+d(b+c)=(a+d)(b+c).[/tex]
From expression (i), we have
[tex]E\\\\=2xy+5x-12y-30\\\\=x(2y+5)-6(2y+5)\\\\=(x-6)(2y+5).[/tex]
Thus, the required factored form of the given expression is [tex](x-6)(2y+5).[/tex]
Identify the vertex, the axis of symmetry, the maximum or minimum value, and the range of each parabola.
1.) Y=x^2+4x+1
Write each function in vertex form.
1.) Y=x^2+2x+5
A model for a company's revenue from selling a software package is R= -2.5p^2+500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.
For the following inequality, indicate whether the boundary line should be dashed or solid. 3x ≥ y + 1 dashed solid
Answer:
The boundary line should be solid because it have a 'great/less than or equal to' sign
Step-by-step explanation:
The length of the base of an isosceles triangle is 15. what is the range of possible lengths l for each leg?
The range of possible lengths for each leg of the triangle will be greater than 7.5.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The two triangular legs and their opposing angles are congruent in an isosceles triangle.
For a triangle, the sum of the two sides should be greater than the longest side of the triangle.
The length of the foundation of an isosceles triangle is 15.
Let the isosceles sides of the triangle be 'x'. Then the inequality is given as,
x + x > 15
2x > 15
x > 7.5
The range of possible lengths for each leg of the triangle will be greater than 7.5.
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Write an equation of the line containing the point (3,1) and perpendicular to the line 4x−3y=5.
Final answer:
To find the equation of the line perpendicular to 4x-3y=5 that passes through (3,1), we determine the negative reciprocal of the original line's slope, which is -3/4, and use the point-slope form to establish the new line's equation:
y = (-3/4)x + 13/4.
Explanation:
To write an equation of the line containing the point (3,1) and perpendicular to the line 4x−3y=5, first, we need to find the slope of the given line by rearranging the equation into slope-intercept form (y=mx+b), where m is the slope.
The line 4x - 3y = 5 can be rewritten as 3y = 4x - 5, or y = (4/3)x - 5/3. This gives us a slope of 4/3. The slope of a line perpendicular to this will be the negative reciprocal, hence the perpendicular slope is -3/4.
Next, given the point (3,1), we can use the point-slope form of a line's equation, which is y - y₁ = m(x - x₁), where (x₁,y₁) is the point the line passes through, and m is the slope. Substituting the values, we get y - 1 = (-3/4)(x - 3).
Finally, to express the equation in slope-intercept form (y=mx+b), we expand and simplify: y - 1 = (-3/4)x + 9/4, which gives us y = (-3/4)x + 13/4 as the equation of the line.
Hank is painting his grandfather's fence. He painted 40 linear feet in 85 minutes. He still has 360 linear feet to paint. His cousins, Sam and Alex, come to help. Sam paints twice as fast as Hank, and Alex paints half as fast as Hank. Find the constant of proportionality for the fence painting rate of Hank, Sam, and Alex combined.
Anyone knows the answer
Tickets for the baseball games were $2.50 for general admission and 50 cents for kids. If there were six times as many general admissions sold as there were kids tickets, and the total receipts were $7750, how many of each type of ticket were sold?
The number of tickets sold of each type is required.
Number of general tickets sold is 3000 and kids tickets is 500.
The cost of general tickets is $2.5
Cost of kids tickets is $0.5
Number of general tickets sold = x
Number of kids tickets sold = y
Total value of tickets sold = $7750
Now,
[tex]x=6y[/tex]
[tex]2.5x+0.5y=7750\\\Rightarrow 2.5(6y)+0.5y=7750\\\Rightarrow 15.5y=7750\\\Rightarrow y=\dfrac{7750}{15.5}\\\Rightarrow y=500[/tex]
[tex]x=6\times 500=3000[/tex]
Number of general tickets sold is 3000 and kids tickets is 500.
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We are given that the suitcase is 24 inches long and 18 inches high. Assuming a regular rectangular shape, the diagonal can be calculates using Pythagorean theorem, that is:
diagonal^2 = 24^2 + 18^2
diagonal^2 = 900
diagonal = 30 inches
Answer:
Step-by-step explanation:
Which of the following is something you need to think about throughout unit 5 ?
A the independent reading
B the skills for arguments
C the writing prompt
D the opinions you have
Answer:
B the skills for arguments
Step-by-step explanation:
gurl just read the lesson lol
and it's not the opinions you have other person is incorrect
Which of the following are steps in practical problem solving? Assign an identifying variable to the quantity to be found. Make a guess at the value of the variable. Write a sentence stating conditions placed on the quantity. Check if the value is correct. Solve the sentence for the variable.
Answer:
1. Assign an identifying variable to the quantity to be found.
2. Write a sentence stating conditions placed on the quantity.
3. Solve the sentence for the variable.
Figure out the pattern, fill in the blank.
The number to fill the given blank is 384.
We need to figure out the pattern from the number sequence.
What is the pattern in the number sequence?A number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.
From the given figure we can see that the pattern following the sequence is as follows:
From the bottom blocks to the block just above that it is multiplied by two numbers in the bottom blocks to get the number in the corresponding top block.
That, 6×2=12, 2×2=4, 2×1=2, 12×4=48, 4×2=8 and 48×8=384.
Therefore, the number to fill the given blank is 384.
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does anyone know this?
Which correlation coefficient represents the strongest relationship between two variables?
HELP PLEASE!!!!!!!!!
Describe the steps in solving the linear equation 3(3x-8)=4x+6
The value of x is 6.
Given,
3(3x-8)=4x+6
We need to solve for x and show steps by steps.
What are the properties used in solving a linear equation?Distributive property of multiplication over addition.
: a ( b + c ) = a x b + a x c
Distributive property of multiplication over subtraction.
: a ( b - c ) = a x b - a x c
Combining like terms.
: cx + ax + b = x (c + a) + b
: cx - ax - b = x (c - a) + b
We have,
3(3x-8)=4x+6
Removing the brackets.
3x(3x) - 3x8 = 4x + 6
9x - 24 = 4x + 6
Subtracting 4x on both sides.
9x - 24 - 4x = 4x + 6 - 4x
5x - 24 = 6
Adding 24 on both sides.
5x - 24 + 24 = 6 + 24
5x = 30
Dividing 5 into both sides.
5x/5 = 30/5
x = 6
Thus the value of x is 6.
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