Answer:
Step-by-step explanation:
Sequence is geometric.
[tex]\\u_2=35=u_1+r\\u_6=23=u_1+5*r\\\\u_6-u_2=23-35=-12=u_1+5r-(u_1+r)=4r\\r=-3\\u_1=u_2-r=35-(-3)=38\\\\\text{Let say n the number or numbers in the sequence}\\\\u_n=38+(n-1)*(-3) <10\\38-3n+3 < 10\\41-10 <3n\\n > \frac{31}{3} \\n > 10\\\\u_n=38+(n-1)*(-3) > 0\\\\38-3n+3 >0\\41 >3n\\\\n < \frac{41}{3} \\n< 13.66666\\n < 14\\Possible\ value\ of \ n:\ 11;12;13\\[/tex]
Last term is 8; 5; 2
Numbers of sequence B= 11 or 12 or 13
Calculate the diameter of a
circle if its area is 113.1cm2.
Answer:
12 cm squared
Step-by-step explanation:
1. Since diameter is twice the radius and what we know is the area, you would divide the area, 113.1 cm, by Pi (3.14):
113.1 cm / 3.14 = 36.00084813
2. What you get is the radius which you have to square:
36.00084813 squared = 6.000070677
3. Now you double the radius in order to get the diameter:
6.000070677 x 2 = 12.00014135
12.0 cm squared
what is the answer of 8-15=
Answer:
-7
Step-by-step explanation:
Help please!!!!!!!!!!
Answer:
52/15 or 3 7/15
Step-by-step explanation:
2 3/5 divide 3/4
13/5 divide 3/4
13 x 4/5 x 3
52/15
3 7/15
Answer:
3 [tex]\frac{7}{15}[/tex]
~~~~~~~~~~~
[tex]\frac{13}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]
[tex]\frac{13}{5}[/tex] * [tex]\frac{4}{3}[/tex]
[tex]\frac{52}{15}[/tex]
3 [tex]\frac{7}{15}[/tex]
Step-by-step explanation:
What value of x makes the following equation true?
x3=-64
Answer:
Any value you choose for x will make the equation a TRUE statement.
write 32% as a fraction in simplest form
Answer:8/25
Step-by-step explanation:
Answer:
Step-by-step explanation:
32/100 = 16/50 = 8/25
1. Your school's Key Club decided to sell fruit baskets to raise
money for a local charity. The club sold a total of 80 fruit
baskets. There were three different types of fruit baskets.
Small fruit baskets sold for $15.75 each, medium fruit baskets
sold for $25 each, and large fruit baskets sold for $32.50
each. The Key Club took in a total of 52086.25. and they sold
twice as many large baskets as small baskets.
a. Formulate a system of three linear equations in three
variables to represent this problem situation. Be sure to
define your variables.
b. Solve the system of three linear equations using
technology with matrices. Write your answer in terms of
the problem situation.
c. Describe the solution in terms of the problem situation.
2. Is it always easier to solve a system of linear equations using
matrices? Explain your reasoning.
Let the small , medium and large baskets be denoted by s,m & l
Formulating the equations
s+m+l= 80--------- equation1
$15.75s+ $25 m + $32.5l = $2086.25------equation2
2s=l---------equation 3
Using the technology s=15, m=35 and l= 30
15+35+30= 80--------- equation1
$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2
2(15)=(30)---------equation 3
Yes because multiple variables can be easily calculated through matrices using technology
In Matrix form
[tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex] = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]
Let A= [tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex]
Z= [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]
B = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]
Z= A⁻¹ B
A⁻¹= A mod/ det A
det A= -1
Using the technology s=15, m=35 and l= 30
15 small baskets,
35 medium baskets
30 large baskets were sold.
Part C:
15+35+30= 80--------- equation1
$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2
236.25+ 875+ 975=$2086.25
$2086.25=$2086.25
2(15)=(30)---------equation 3
Answer 2:
Yes because multiple variables can be easily calculated using technology.
N.B There is a typing error in question its $2086.25 not 52086.25
Multiply.
(a) 0.8 x 0.9
Answer:
0.72
Step-by-step explanation:
hope that helps!
If you flip a coin, what is the probability that it will land on tails?
Answer:
50%
Step-by-step explanation:
Because the coin has two sides, heads and tails, there is a 50% chance that it will land on tails.
1/2
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
x = 2
y = 2
x = 11
y = 11
Answer:
Its A x=2
Step-by-step
so i told siri pick a number 1-4 and she picke 1 and it was right so good luck
Answer: x = 2
Step-by-step explanation:
got it right
what is the opposite of 7 plus the opposite of 9
Answer:
-7.11111111111
Step-by-step explanation:
I need help with this problem for my math class.
9514 1404 393
Answer:
52 minutes
Step-by-step explanation:
Streaming Haunted Cave videos used the battery at the rate ...
(76% -16%)/(3·30 minutes) = 60%/(90 minutes) = (2/3)% per minute
Playing Top Pop used the battery at the rate ...
(63% -59%)/(24 minutes) = (4/24)% per minute = (1/6)% per minute
The remaining charge (in percent) after x minutes for Jorge's phone will be ...
J = 55 -2/3x
The remaining charge for Samantha's phone will be ...
S = 29 -1/6x
We can find the value of x that makes these equal:
J = S
55 -2/3x = 29 -1/6x
26 = 1/2x . . . . . . . . . . . . . . . add 2/3x -29 to both sides
52 = x . . . . . . . . . . . multiply by 2
It will be 52 minutes before the two phones have the same battery level.
prove(sec theta-tan theta)(sec theta+tan theta)=1
Answer:
[tex]( \sec \theta - \tan \theta)( \sec \theta + \tan \theta)[/tex]
from difference of two squares:
[tex]{ \boxed{ \tt{( {a}^{2} - {b}^{2}) = (a - b)(a + b) }}}[/tex]
[tex] = { \sec }^{2} \theta - { \tan}^{2} \theta \\ = (1 + { \tan}^{2} \theta) - { \tan}^{2} \theta \\ = 1[/tex]
hence proved
I am a three-digit number
My second an last digit are the same
The product of the digit of the numbe one less than me is not zero
The number one less than me is divisible by 45
Please help me solve this riddle. Thank you.
Answer:
766?
Step-by-step explanation:
Answer and Step-by-step explanation:
Three Digit Number.
***
Second digit = Last digit
*xx
I multiplied 45 from numbers 1-23, with 22 being the maximum # to multiply to get a 3 digit number that is divisible by 45, and 3 being the minimum # to multiply to get a 3 digit number that is divisible by 45.
Now to check which number it is.
When you multiply 45 by 17, you get 765. This number is supposed to be 1 less than the riddle's number. It also has to have the last 2 digits be the same.
So, lets add one to 765 to see if we solved the riddle.
765 + 1 = 766
766 is the answer!
#teamtrees #PAW (Plant And Water)
I hope this helps!
The square root of 424 is between what two integers
Answer:
20 and 21
Step-by-step explanation:
424 = 400 + 20 + 4. √400 = 20, as √4 = 2
21² = (20 + 1)² = 400 + 40 + 1 = 441 > 424.
please help help help
Answer:
a = 3
Step-by-step explanation:
We can start by cross multiplying, which is a method to help solve proportions. We get:
5 * a = 3 * (a + 2)
Now, we can distribute the 3 and solve:
5a = 3a + 6
-3a -3a
2a = 6
/2 /2
a = 3
Answer:
[tex]a = 3[/tex]
Step-by-step explanation:
[tex] \frac{a}{a + 2} = \frac{3}{5} [/tex][tex]a \times 5=(a+2) \times 3[/tex]
[tex]5a=(a+2) \times 3[/tex]
[tex]5a=3a+6[/tex]
[tex]5a−3a=6[/tex]
[tex]2a=6[/tex]
[tex]a = \frac{6}{2} [/tex][tex]a = 3[/tex]
Hope it is helpful....In a certain country, income tax is assessed by people not having to pay a tax if they make $15,000 per year or less, people having to pay a 12% tax if they make over $15,000 but no more than $30,000, and people having to pay 18% tax if they make more than $30,000 per year. Find the piecewise function that represents this scenario.
Answer:
f(x) = x × 0.12 if 15,000 ≤ x ≤ 30,000
x × 0.18 if x ≥ 30,000
Step-by-step explanation:
I. When 12% is 12/100 = 0.12
and 18% is 18/100 = 0.18
need help fast, please
I will give brainliest to correct answer
-2^2(-5x+10)=100 solve for x
Answer:
x = 7 would be the correct answer to your question.
I hope this helped! :D
what is equivalent to the expression i^151 ?
Answer:
-i
Step-by-step explanation:
i^2=-1, so i^151=[(i^2)^75] * i=> [(-1)^75]*i=(-i)
6=_-(-8) find the missing value
Answer:
-2
Step-by-step explanation:
when there are two negative signs directly next to each other, it becomes a positive. Set the equation. Let the unknown number be signified by the variable, x:
6 = x - (-8)
6 = x + 8
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 8 from both sides of the equation:
6 (-8) = x + 8 (-8)
6 - 8 = x
x = 6 - 8
x = -2
-2 is your missing value.
~
Hey there!
6 = ____ - (-8)
• We’re going to substitute the blank value as “x” because we don’t know the variable is just yet.. it is unknown
x - (-8) = 6
x + 8 = 6
SUBTRACT 8 to BOTH SIDES
x + 8 - 8 = 6 - 8
CANCEL out: 8 - 8 because that gives you 0
KEEP: 6 - 8 because that helps solve for the x-value
x = 6 - 8
6 - 8 = x
x = -2
Answer: -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
define a factorization
Step-by-step explanation:
In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.
MARK AS BRAINLIST IF IT IS USEFUL
4x+11=x²-10
PLS HELP.
Answer:
10+4x+11=x²-10+10 (add 10 both side)
21+4x-4x=x^2-4x (substract 4x in both side)
21-21=x^2-4x-21 (substract 21 in both side)
x^2-4x-21=0
x^2+3x-7x-21=0(we can write -4x as (3x)+(-7x)=(-4x)
x(x+3)-7(x+3)=0 (get common factor)
(x+3)(x-7)=0 (get common factor which is (x+3) by both)
x=-3 or x=7
Step-by-step explanation:
what the value of x if 27/5 =4/x
Step-by-step explanation:
[tex] \frac{27}{5} = \frac{4}{x} \\ 27 \times x = 4 \times 5 \\ 27x = 20 \\ \frac{27x}{27} = \frac{20}{27} \\ x = \frac{20}{27} [/tex]
The product of two whole numbers is 999 and their sum is 64. What are the two numbers?
Answer:
the answer is:
997+2=999 so all you would have to do is multiply 997 and 2
Please help with geometry
Answer:
x = 8
Step-by-step explanation
Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.
7x + 17 + 3x - 7 = 90 Combine like terms
10x + 10 = 90 Subtract 10 on both sides
10x = 80 Divide both sides by 10
x = 8
Answer:
x = 8
Step-by-step explanation
Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.
7x + 17 + 3x - 7 = 90 Combine like terms
10x + 10 = 90 Subtract 10 on both sides
10x = 80 Divide both sides by 10
x =8
on monday 382 students went on a trip to the zoo. all 9 buses were filled and 4 students had to travel in cars. how many students were in each bus?
Answer:
42 students
Step-by-step explanation:
If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses. Since there were 9 buses, 378 / 9 = 42. Therefore, there were 42 students in each bus.
((PLEASE HELP URGENT))
Points P, Q R, and S are collinear Point Q is between P and R. R is between Q and S, and PQ=RS, If PS = 27 and PR= 21, what is the value of QR?
A man had Rs 2,000.He purchased 2 kg of apples at Rs 150 per kg ,3 kg sugar at Rs 80 per kg, and donated Rs 1,000 to a charity .if he divided the remaining sum between his daughter and a son equally,find the share of the daughter and the son
Answer:
230 for Daughter and son each
Step-by-step explanation:
for apples=he spend Rs 300
sugar=Rs 240
Rs 1000
then remaining is 460 divided equally is
230 for each
love maths!
11. 226 students went on a field trip. Eight buses were filled and 10 students traveled in cars. How many students were in each bus? from Sarawona's Bikes. It cost $18 WILL NEED WORK DONE AND WILL GIVE BRAINIEST
Answer:
27 studentsStep-by-step explanation:
Number of students = 226Number of buses = 8Students traveled in buses:
226 - 10 = 216Number of students in each bus:
216/8 = 27Students travelled in bus:-
[tex]\\ \rm\longmapsto 226-10=216[/tex]
No of buses=8Students in each bus
[tex]\\ \rm\longmapsto \dfrac{216}{8}[/tex]
[tex]\\ \rm\longmapsto 27[/tex]
Susan has four 20 point projects for math class. Susan’s scores on the first three projects are 18, 15,
and 16.
What score does Susan need to earn on project #4 to earn an 85% total average?
Answer:
Step-by-step explanation:
17*4=68
68-18=50
50-15=35
35-16=19
19