Given that "Jane wrote all the natural numbers from 5 to k. Including 1 and k"
So Jane wrote k numbers.
lets take an example
if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.
Hence she write k numbers.
Jane wrote k - 4 natural numbers for the given condition.
What are natural numbers?Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Jane wrote all the natural numbers from 5 to k, including 5 and k.
So, she wrote the numbers as 5, 6, 7, 8, 9, ..., k.
To find out how many numbers Jane wrote, we have to subtract 4 from each of these numbers because 4 numbers (1, 2, 3, 4) come before 5.
1, 2, 3, 4, 5, ..., k-1
So, there are k-1 - 4 + 1 = k - 4 natural numbers between 5 and k, inclusive.
Therefore, she wrote k - 4 natural numbers.
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select the two values of x that are roots of this equation 2x^2-11x+15=0
Question 7 (Essay Worth 10 points)
(03.08A MC)
The number line shows the distance, in meters, of two divers, A and B, from a shipwreck located at point X:
1.5
B
Х
-2.5
A
Hot
-3 -2
+
-1
0
1 2 3
Distance (m)
Part A: Write an expression using subtraction to find the distance between the two divers. (5 points)
Part B: Show your work and solve for the distance using additive inverses. (5 points)
Answer:
45
Step-by-step explanation:
(2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence.
Prove that the common difference of the sequence is 12
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
Each child in the Martin family decided to save money for the family vacation.
Mrs. Martin asked the children to show how they would spend the money if given $20 each week for 8 weeks.
Which person would have the most money left for the vacation?
Answer:
The story is not clear enough to provide the answer
Step-by-step explanation:
First of all we do not know how many childen are in the Martin Family
[tex]20 \times 8[/tex]
=$160
So depending on how each child sends and how many children will determine which kid will have most of the money left
6.True or False.
A numeral, such as 22 is called a constant.
Answer:
True
Step-by-step explanation:
The term with no variable attached to it is the constant
Answer:
te voy a devolver el susto me diste 9 veces peor
Step-by-step explanation:
BRAINLIEST
Do one of the above and show your work
Answer:
10, C = circumference = 2 pi 11 = 69.11 since the radius = 6
PR = C / 2 = 34.6 since PR is 1/2 the circumference
PS = 34.6 - 16 = 18.6 since PS is 16 ft short of C/2
Answer:
Step-by-step explanation:
Convert this improper fraction to a Mixed Number 40/10 plz i need help
Answer:
4
Step-by-step explanation:
How many times does the denominator go into the numerator, in this case 10 goes into 40 4 times.
AHH HALP
0.333 as a fraction
0.666 as a fraction
0.343434 as a fraction
1.432432 as a fraction
PLZ I NEED IT IN THE NEXT FEW MINS
I WILL GIVE BRAINLIEST TO WHOEVER GIVES THE BEST ANSWER AND THE CORRECT ANSWER
PLEASE GIVE ME AN EXPLANATION AND A CORRECT ANSWER! THANK YOU
(Also sorry for caps, I just really need those answers lol)
Step-by-step explanation:
for the ones with the 1.43, it'll be written as an improper fraction. Let me know if you have questions,I've started it for you now try the rest
0.333 is apoximently 1/3
0.666 is aproximently 2/3
i couldnt find out the others tho s0rry
\Hoped that helped:P
answer???? i need help asap
Answer:
what kind?
Step-by-step explanation:
Answer:55
Step-by-step explanation:
55
Help a girl out pls!!!
Answer: AA Similarity
Step-by-step explanation:
Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.
What is the value of -2
Answer:
11
Step-by-step explanation:
-2 lies in the second range that begins with -2 and ends with 8
PLEASE ANSWER ASAP
Which graph
Answer:
graph 4
Step-by-step explanation:
If 3x = 21, find the value of 23 - 4x
Answer:
- 5
Step-by-step explanation:
Given
3x = 21 ( divide both sides by 3 )
x = 7
Then
23 - 4x = 23 - 4(7) = 23 - 28 = - 5
−6x≥17 Give your answer as an improper fraction in its simplest form.
HELPPPPPP QUICK
Answer:
[tex]x \leqslant \frac{ - 17}{6} [/tex]
I need help plz
12
10
8
12.5
Answer:
8
Step-by-step explanation:
Need Help....
I can't understand the question so please help me.....
[tex]for \: x \: such \: that \: 0 < x < \frac{\pi}{2}[/tex]
It is the expression
[tex] \frac{ \sqrt{1 - {cos}^{2}x } }{sin \: x} \:- \frac{ \sqrt{1 - {sin}^{2}x } }{cos \: x} \\ \\ is \: equivalent \: to:[/tex]
[tex]f.0 \\ g.1 \\ h.2 \\j. - tan \: x \\ k. \: sin \: 2x[/tex]
Don't spam and Don't copy
Don't answer if you don't know
Thank You!
If 0 < x < π/2, then both sin(x) and cos(x) are positive.
From the Pythagorean identity, we then have
cos²(x) + sin²(x) = 1
⇒ cos(x) = + √(1 - sin²(x)) and sin(x) = + √(1 - cos²(x))
Then
√(1 - cos²(x))/sin(x) = sin(x)/sin(x) = 1
and
√(1 - sin²(x))/cos(x) = cos(x)/cos(x) = 1
so that the overall expression reduces to
1 - 1 = 0
a
What is the image of the point (-9, -6) after a rotation of 90° tounterclockwise
about the origin?
Answer:
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
You have $6.72 to buy apples for an apple crisp recipe. Apples cost $0.96 each. Write and solve an inequality that represents the number of apples you can buy
What is an equivalent expression to 7x - 3y + 8x ?
Answer:
15x-3y
Step-by-step explanation:
Ok, this question might seem hard but its not! theres only 2 varibles here, x and y. In this problem we add the 2 numbers that are x which gives us 15x and then the -3y gets added to the rephrasment.
mathematic equation
solve q
11=8(3q-1)
Step-by-step explanation:
11 = 8(3q - 1)
11 = 24q - 8
11 + 8 = 24q
19 = 24q
19/24 = q
q = 0.791666666666666
q = 0.8 to 1 decimal place
What is the function graphed below?
3
Oy=x-1
Oy=1 X-1
Oy=1x+11
Oy=x+1
The function that is graphed below is y = |x + 1|.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of the equation y = |x + 1| is a V-shaped curve that opens upwards and has a vertex at the point (-1, 0).
The absolute value function, represented by the vertical bars surrounding the expression (x + 1), means that the function will always output a positive value, regardless of the input.
When x is greater than or equal to -1, the expression inside the absolute value bars is non-negative, so the equation simplifies to y = x + 1.
This is a linear function with a slope of 1 and a y-intercept of 1, which means that the graph of y = |x + 1| for x ≥ -1 is a straight line that passes through the point (-1,0) and slopes upward to the right.
When x is less than -1, the expression inside the absolute value bars becomes negative, so the equation simplifies to y = -(x + 1) = -x - 1.
This is also a linear function, but with a slope of -1 and a y-intercept of -1, which means that the graph of y = |x + 1| for x < -1 is a straight line that passes through the point (-1,0) and slopes downward to the right.
The two linear segments meet at the vertex (-1,0), which is the minimum point of the graph.
The graph of y = |x + 1| is a continuous, piecewise linear function with a minimum value of zero at x = -1.
Thus,
The function that is graphed below is y = |x + 1|.
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need help asap plz help me
Answer:
idek not gonna lie
Step-by-step explanation:
Answer:
The first one is A) 4 The second on is D) 65
Step-by-step explanation:
You divide the first number by the second number eg. 12 divided by 3=4. so 4.
You repeat the process for the second one, which is 32.5 divided by 5=6.5 so then you multiply that times 100 so 65.
Find DY if PY= 6
and DP= 10.
The relationship between sides DY, PY and DP is that they form a right-angled triangle.
The value of side length DY is 8 units
Side length DY can be calculated using the following Pythagoras theorem.
So, we have:
[tex]DP^2 =DY^2 + PY^2[/tex]
Substitute values for DP, DY and PY
[tex]10^2 =DY^2 + 6^2[/tex]
Evaluate the squares
[tex]100 =DY^2 + 36[/tex]
Subtract 36 from both sides
[tex]64 =DY^2[/tex]
Take square roots of both sides
[tex]8 =DY[/tex]
Rewrite as:
[tex]DY = 8[/tex]
Hence, the value of side length DY is 8 units
Read more about Pythagoras theorems at:
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x is a random real number between 0 and 3. what is the probability that it is closer to 0 than it is to 1?
Answer:
The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...
Step-by-step explanation:
hat equation represents this sentence?
7 less than a number is 16.
7−n=16
n−7=16
7=16−n
like you cut g
7=n−16
Answer:
2nd option
Step-by-step explanation:
let the number be n then 7 less than this number is n - 7 , so
n - 7 = 16
Under his cell phone plan, Joseph pays a flat cost of $48 per month and $3 per gigabyte, or part of a gigabyte. (For example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) He wants to keep his bill under $55 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?
Answer:
gigabytes
gigabytes
Answer: 2 is the maximum number of gigabytes
Step-by-step explanation:
carter has two consecutive numbers with a sum of 49. what is the smaller number?
A. 23
b. 24
C. 25
D. 26
Answer:
A.23 is the answer
Step-by-step explanation:
49-26=23
49-25=24
49-24=25
How i can answer this question?
Answer:
11n
Step-by-step explanation:
7+4 =11
so then 7n+4n=11n
23.15 – [ 115 + ( 12 - 25)]
Answer:
-78.85
Step-by-step explanation:
Using Order of Operations (PEDMAS):
23.15 – [ 115 + ( 12 - 25)]
= 23.15 – [ 115 + (-13)]
= 23.15 – [ 115 - 13]
= 23.15 - 102
= -78.85
55) Carl spent 25% of his money for some presents. What percent
did he have left?
Answer:
75%
Step-by-step explanation:
In total it was 100%, but he spent 25%.
100% - 25%=75%