Answer:
The remainder is 4.
Step-by-step explanation:
Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:
When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?
The explanation of the answer is now given as follows:
Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.
Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.
Therefore, we have:
Sum of the possible values of k = 7 + 14 = 21
Also, we have:
Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.
Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.
What’s is the solution to the equation x to the power of 2 =16/25
Answer:
[tex]x=\dfrac{4}{5}[/tex]
Step-by-step explanation:
The given equation is :
[tex]x^2=\dfrac{16}{25}[/tex]
We need to find the value of x.
When the exponent 2 removes from LHS, it will shift to RHS as square root as follows :
[tex]x=\sqrt{\dfrac{16}{25}}[/tex]
We know that, 4×4= 16 and 5×5 = 25
So,
[tex]x=\sqrt{\dfrac{4\times 4}{5\times 5}}\\\\x=\dfrac{4}{5}[/tex]
So, the solution of the given equation is 4/5.
Чу- 8х + 5x - Зу
OOoO
im gonna assume that ur just simplifying this equation so here it is
y-3x
hope this helped!!
If A=[1 0 -1 7] find K such that A^2-8A-ki-KI=0
Answer:
K = -7
Step-by-step explanation:
If A=[1 0 -1 7] find K such that A^2-8A-ki-KI=0
Given the 2×2 matrices
A = [tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex]
We are to find K if =0
A² = [tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex]
A² = [tex]\left[\begin{array}{ccc}1&0\\-8&49\\\end{array}\right][/tex]
8A = 8[tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex]
8A = [tex]\left[\begin{array}{ccc}8&0\\-8&56\\\end{array}\right][/tex]
Since [tex]I = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] \\[/tex]
[tex]KI = \left[\begin{array}{ccc}K&0\\0&K\\\end{array}\right][/tex]
Substitute the resulting matrices into the expression above:
A^2-8A-KI = [tex]\left[\begin{array}{ccc}1&0\\-8&49\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}8&0\\-8&56\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}K&0\\0&K\\\end{array}\right][/tex] =[tex]\left[\begin{array}{ccc}0&0\\0&0\\\end{array}\right][/tex]
From the expression, we have the equations;
1 - 8 - k = 0
-7 - k = 0
-7 = k
k = -7
Hence the value of K is -7
I need help with this question!!!
Answer: B. positive 6
Step-by-step explanation: Addomg the positive number to a negative number would turn it to a positive eventually. So u covert your factions to decimals to better see the resemblance. And 1 1/2 is the same as 1.5, and 2 1/10 is the same as 2.1 but it’s easier to deal with decimals. So then just add the positive to the negative sense 1 1/2 is closer to zero. I hope this helps I’m not the best at explaining things
what's the difference between whole numbers and integers
Answer:
Whole numbers cannot include negative numbers. Integers are whole number and they can have negative whole numbers.
Step-by-step explanation:
Please help I’m so confused, I’ve been doing testes all day so my brain is fried. Pleaseee
Answer: 40%
Step-by-step explanation: 20 hours jogging/ 50 total hours gives you .4 which is 40%
The number of entertainment websites in 1995 was 54. By 2004 there were 793 entertainment websites. Approximately what was the rate of change for the number of websites for this period of time?
A. 82 websites per year
B. 739 websites per year
C. 12.18 websites per year
D. 424 websites per year
Answer:
Step-by-step explanation:
2004 - 1995 = 9 years
793 - 54 = 739 new sites
739 / 9 = 82.1111111111
approx 82 websites per year change.. ( delta is change )
how many 3 element subsets of {1, 2, 3, 4, 5, 6, 7, 8, ,9, 10, 11} are there for which the sum of the elements in the subset is a multiple of 3
Answer:
There are 155 ways in which these elements casn occur.
Step-by-step explanation:
We want 3 element subsets whose sum are multiples of 3
1+2+3= 6
1+2+6= 9
1+2+9= 12
1+9+11=21
1+3+5=9
1+4+8=12
1+5+6=12
1+6+8=15
1+7+10=18
1+8+9=18
1+9+11=21
2+3+7=12
2+4+6=12
2+4+9=15
2+5+11=18
2+6+7=15
2+7+9=18
2+8+5=15
2+8+11=21
2+9+10=21
3+6+9= 18
3+9+11=21
3+10+11=24
6+9+10=27
6+8+11=27
6+7+11=24
7+8+9= 24
8+9+10=27
7+9+11=27 .........
We have 11 elements
We need a combination of 3
The combinations can be in the form
even+ even+ odd
odd+odd+odd
even + odd+odd
So there are 3 ways in which these elements can occur
Total number of combinations with 3 elements =11C3= 165
There are 6 odd numbers and 5 even numbers.
Number of subsets with 3 odd numbers = 6C3= 20
Number of two even numbers and 1 odd number = 5C2*6C1=10*6= 60
Number of 2 odd and 1 even number = 6C2* 5C1= 5*15= 75
So 20+60+75=155
There are 155 ways in which this combination can occur
Can somebody help me
Answer:
AB ≈ 3.14 ft
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= πd × [tex]\frac{45}{360}[/tex] ( where d is the diameter )
= 8π × [tex]\frac{1}{8}[/tex]
= π
≈ 3.14 ft ( to 2 dec. places )
2.3.2: Michael Myers predicts that SAT scores predict college graduation rates in a linear fashion. U of M has an average SAT of 1450 and a graduation rate of 90%. GVSU has an average SAT of 1110 and a graduation rate of 69.6%. Write an equation to represent the linear relationship . Be sure your equation is in slope-intercept form
Answer:
[tex]y = \frac{5000r}{3} -50[/tex]
Step-by-step explanation:
Represent the SAT score with y and the rate with r.
So, we have:
[tex](r_1,y_1) = (90\%,1450)[/tex]
[tex](r_2,y_2) = (69.6\%,1110)[/tex]
Required
Determine the equation in slope intercept form
First, we calculate the slope
[tex]m =\frac{y_2 - y_1}{r_2 - r_1}[/tex]
This gives:
[tex]m =\frac{1110 - 1450}{69.6\% - 90\%}[/tex]
[tex]m =\frac{-340}{-20.4\%}[/tex]
Convert percentage to decimal
[tex]m =\frac{-340}{-0.204}[/tex]
[tex]m =\frac{340}{0.204}[/tex]
Multiply by 1000/1000
[tex]m =\frac{340*1000}{0.204*1000}[/tex]
[tex]m =\frac{340000}{204}[/tex]
[tex]m = \frac{5000}{3}[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(r - r_1)[/tex]
This gives:
[tex]y - 1450 = \frac{5000}{3}(r - 90\%)[/tex]
Open Bracket
[tex]y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*90\%[/tex]
Convert percentage to decimal
[tex]y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*0.90[/tex]
[tex]y - 1450 = \frac{5000r}{3} - 5000*0.30[/tex]
[tex]y - 1450 = \frac{5000r}{3} - 1500[/tex]
Make y the subject
[tex]y = \frac{5000r}{3} - 1500+1450[/tex]
[tex]y = \frac{5000r}{3} -50[/tex]
is anyone able to answer this?
Step-by-step explanation:
(59,76) , (65,100)
independent variable 76times per minute and 100 per minute dependent variable 65°F and 59°F
[tex] m = \frac{y2 - y1}{x2 - x1} = \frac{100 - 76}{65 - 59} = 4[/tex]
y = mx + b
76 = 4(59)+b
b = -160
y= 4x -160
good night dears...❤️❤️❤️
Answer:
gn
Step-by-step explanation:
Answer:
Good Night! :)
what is 17 / 20 as a decimal
solve the equation A = P + Prt for r. Solve the equation A = P + prt for p.
Answer:
b
Step-by-step explanation:
Write 230,000,000,000 in scientific notation.
Evaluate: 30 - 12÷3×2 =
Evaluate: |4 - 8(3 - 12)| - |5 - 11| =
Evaluate: -18 + 4(6 ÷ 2)2
Evaluate: 11 + sqrt(-4 + 6×4÷3)
Simplify: 12x3 - 3(2x3 + 4x -1) - 5x + 7
Simplify: (x4 / x3)3
Simplify: (3x2y-2)3 / (9xy3)3
Simplify: (2x-3y4)3(x3 + y)0 / (4xy-2)3
Write as a mathematical inequality:"9 is less than the product of M and N".
Find the slope of the line perpendicular to the line y = (1/3)x - 7
Answer:
1. 2.3 x 108
2. 22
3. 70
4. - 84
5. 13
6. 6 3 − 1 7 + 1 0
7. 3x
8. 3x^2y - 2/ xy^3
9. 0
10. mn - 9
11.
Jerome's sister told him to multiply both the amount of water and the amount of drink
mix by the same number to keep the ratio of water to drink mix the same and still
increase the total amount of energy drink.
a) Complete the table below. (2 points)
Original
Ratio
X1
x2
*3
X4
Drink mix help me plz fast
(cups)
3
Water (cups)
8
Answer:
See below
Step-by-step explanation:
a) Completing table:
×1 column: 3×1 = 3, 8×1 = 8 ⇒ numbers 3 / 8×2 column: 3×2 = 6, 8×2 = 16 ⇒ numbers 6 / 16×3 column: 3×3 = 9, 8×3 = 24 ⇒ numbers 9 / 24×4 column: 3×4 = 12, 8×4 = 32 ⇒ numbers 12 / 32b) Yes, Jerome's sister is correct because 3/8 ratio is same as 3n/8n where n is the number both numerator and denominator are multiplied to, it keeps the ratio as is but helps to increase the amount of drink
What is the average of 139 and 78?
Answer:
108.5
Step-by-step explanation:
(139 + 78)/2 = 217/2 = 108.5
Answer:
108.5
Step-by-step explanation:
add 139 and 78 then divide by 2
please help.
also, i hope you enjoyed you holidays !
Answer:
1. angle AXB
2. 52
Step-by-step explanation:
1.supplementary is 180⁰
2.90-38=52
How many times does 20 go into 168?
Answer:
8.4
Step-by-step explanation:
How many times 20 goes into 168 = 168/20
= 8.4
Pls mark as brainliest <3
in a shipment of 400 total parts, 14 parts are found to be defective. Write a sentence that describes the rate of defective parts
a- every 200 parts ,7 are defective
b- a box of 7 parts ,200 hundred parts are defective
c- approximately 57.14 parts, 1 part is defective
d- 28.57, 1 part is defective
Answer:
I want to say it is A
Step-by-step explanation:
I am not sure though and I am very sorry if you get it wrong
What is the solution to the system below?
x + y = 5
x - y = 3
( x, y ) = ( 4, 1 )
hope it helps!
Answer:
x= 4
y= 1
Step-by-step explanation:
by adding 2 equations
2x = 8
x= 4
by sub. in Equation 1
4+y=5
y = 5-4
y= 1
can someone please help me :(
Answer:
41/3 - 14 - Square root of 200
Step-by-step explanation:
41/3 is between 13 and 14
14 is 14
Square root of 200 is between 14 and 15
n is m % of what? Help Please!!!!
9514 1404 393
Answer:
what = 100n/m
Step-by-step explanation:
You are given ...
n = m% × what
You know that % is fully equivalent to /100, so this can be written as ...
n = (m/100) × what
If we want to find "what", we can multiply by the reciprocal of its coefficient. That is, multiplying by 100/m gives ...
(100/m)n = (100/m)(m/100)×what
what = 100n/m
_____
Example
13 = 20% of what . . . . . n = 13, m = 20
what = 100(13)/20 = 65
so, 13 = 20% of 65.
r!×p(5,r)=40....r=??
HELP PLEASE!!!!!!! ! ! !!
Given a mean of 518, a standard deviation of 22, and a sample size of 200, calculate a 95% confidence interval.
Answer:
do you want me to look it up for you?
2x+5+3x+6= combine like terms to simplify each expression
Answer:
5x +11
Step-by-step explanation:
Answer:
5x+11
Step-by-step explanation:
Please give brainliest
Y=x2+2x+5
Write each function in vertex form.
Logan saved $35 from cutting the neighbor’s yard. He earns $10 a week from washing dishes, which he also saves. Which function can be used to find s, the amount of money Logan will have saved at the end of w, weeks of washing dishes?
the answer is “s = 10w + 35” since he already has 35 but needs to find out how many weeks he washed the dishes :))
(x⁴ + 8x³ - 45x + 30) ÷ (x + 7)
Topic is Polynomials. Find the answer using long division. Please, provide detailed steps.
Answer:
Step-by-step explanation:
I added 3 images labelled Synthetic division 1 , 2 , 3 . I hope you understand this. It's really hard to type the method in the format so I used an online calculator symbolab.
Answer:
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
Step-by-step explanation:
We need to solve the polynomials [tex](x^4 + 8x^3 - 45x + 30) \div (x + 7)[/tex]
by using long division.
The long division is done in figure attached.
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2