write the equation of a line perpendicular to y=7 that passes through (2,13)
Given that k-5, k+7, k+55 are three consecutive terms in a geometric sequence, solve for k
Answer:
[tex]k = 9[/tex]
Step-by-step explanation:
Given:
Consecutive Terms: k-5, k+7, k+55
Required:
Determine the value of k
To do this, we make use of the concept of common ratio.
The common ratio (r) of a geometric sequence is:
[tex]r = \frac{T_{n}}{T_{n-1}}[/tex]
In other words:
[tex]r = \frac{T_3}{T_2} = \frac{T_2}{T_1}[/tex]
Where 1, 2 and 3 represents the terms of the progression/sequence
So:
[tex]r = \frac{T_3}{T_2} = \frac{T_2}{T_1}[/tex] becomes
[tex]\frac{k+55}{k+7} = \frac{k+7}{k-5}[/tex]
Cross Multiply:
[tex](k+55)(k-5) = (k+7)(k+7)[/tex]
Open Brackets
[tex]k^2 + 55k - 5k - 275 = k^2 + 7k + 7k + 49[/tex]
[tex]k^2 + 50k- 275 = k^2 + 14k + 49[/tex]
Collect Like Terms
[tex]k^2 - k^2 + 50k-14k = 275 + 49[/tex]
[tex]36k = 324[/tex]
Solve for k
[tex]k = 324/36[/tex]
[tex]k = 9[/tex]
Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2__{−6,−3,−5,−1}
Answer:
−2 ∉ {−6,−3,−5,−1}
Step-by-step explanation:
Given
Set = {−6,−3,−5,−1}
Element = -2
Required
The interpretation of the question is to state if -2 is an element of the given set or not
The first thing to do is to check through the set to count the number of occurrence of -2
Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0
This implies that -2 is not an element of the given set and this is represented by the symbol ∉
Hence:
−2 ∉ {−6,−3,−5,−1}
A pack of gatorade states that 4 tablespoons of mixture should be added for every 7 cups of water. If the container holds 56 cups of water in it, how much should be added to the water?
Question 2 options: A consumer advocate group selects a random sample of 205 snack foods and finds that 174 of them contain more fat grams than what is indicated in the snack's nutritional information. Create a 90% confidence interval for the population proportion for snack foods that contain more fat grams that what is indicated in the snack's nutritional information.
Answer:
156 snack foods.
Step-by-step explanation:
205 - 174 = 31
To find 90% of 174, multiply 174 by 0.90.
174 x 0.90 = 156
The answer is 156 snack foods.
Seats in commercial airplanes are designed so most passengers are comfortably seated. To design an airplane, an engineer at Bombardier Aerospace uses the normally distributed height of Québec adults, which has a mean of 170 cm and a standard deviation of 12 cm
a. The designer will design the seating so 98% of passengers are comfortable. What is the height of someone who is taller than 98% of all other Québec adults?
b. The airplane can hold up to 110 passengers. What is the probability that the average height of passengers is smaller than 100 or larger than 190 cm?
c. If we market this airplane to the American market for which the mean height of adult Americans is 185 cm with a standard deviations of 16 cm, what proportion of American adults would be taller than the height found in (a)? Would this be a problem for Bombardier when it tries to sell the plane to American airline companies?
Answer:
x-2-y/l=45
Step-by-step explanation:
PLS HELP ASAP WILL MARK BRAINLIEST PLS DONT ANSWER IF NOT SURE
Step-by-step explanation:
6.7 > 3.5 > -3 1/4 > -15/3
hope that helps
Answer:
6.7, - (-3.5), -3 1/4, -15/3
What fraction is equal to 75% of 1/2?
Answer:
4/8
Step-by-step explanation:
To do this, multiply the whole fraction by 4/4 (which is like multiplying by 1/1). So 1/2 x 4/4 becomes 4/8 :)
Answer:
3/8 i think
Step-by-step explanation:
Try changing the top of the fraction to something divisible by 4, like 4 for example.
To do this, multiply the whole fraction by 4/4 (which is like multiplying by 1/1).
So 1/2 x 4/4 becomes 4/8.
if you consider each 1/8 to be 25% and 75÷3 equals 25+25+25:
So, 75% of 4/8 is 3/8.
Another quick way is to just multiply 1/2 by 3/4 (since you know 3/4 equals 75% {think 75/100 reduced is 3/4}) and you get 3/8 as well
3 kg of beef costs £51
Max buys 2 kg of beef.
Work out how much Max pays
Find the rate:
51 ÷ 3 = £17
1 kg of beef = £17
2 kg of beef = £17 × 2 = £34
2 kg beef = £34
Simplify the expression. 16 x 4 -4
Answer:
The answer is 60
Step-by-step explanation:
16 x 4 - 4
64 - 4
60
Hope this helped!
Find an expression for the nth term of the arithmetic sequence.
2, 8, 14, 20, 26, . . .
Answer:
44
Step-by-step explanation:
Math boi
PLEASEE HELPP WILL BRAINLIST find the output when x = 0
Answer:
output: 8
Step-by-step explanation:
since x=0 y would equal 8 which is the output.
Find the segment length indicated. Assume the lines which appear to be
tangent are tangent. The center is marked.
6.6
6.6
O 16.9
O 8.9
O 10.2
O 11.2
This is urgent please help!
Answer:
try the last one
Step-by-step explanation:
Joy is going to a sub shop for a sandwich. At the restaurant, she can choose either a roll (R), bread (B), or a wrap
(W). There are two meat choices, ham (H) and turkey (T), and 2 kinds of cheese, Swiss (S) and American (A)
Before she goes, Joy wants to make a list of her choices. If she chooses one item from each selection, which will be
part of her list?
O RBW, RBH RBT, RBS, RBA
ORSA, BSA, RHT, BHT, HSA
RH, RT, BH, BT, WH
O RHS, RHA, RTS, RTA, BHS
Answer:
The answer is D
Step-by-step explanation:
Answer:
RHS, RHA, RTS, RTA, BHS
Step-by-step explanation:
Find the distance between point N and point M.
-N(-1,2)
*M(-4, 4)
square root of 45
square root of 13
square root of 9
square root of 61
Answer:
(-2.5, 3)
Step-by-step explanation:
Which expression is equivalent to 3x – 5?
2x – 4 – 1 + x
–x + x + x – 1 – 1 – 1 – 1 – 1
–5 – 3x
3x + 5
the equation 2x-4-1+x would be the answer
Because 2x+x = 3x and -4-1 = 5, the result would be 3x-5
Answer:
2x-4-1+x
Step-by-step explanation:
Just answerd the quistion
57% is greater than, less than, or equal to 1
Answer:
Less than
Step-by-step explanation:
Answer:
57% is less than
Step-by-step explanation:
To convert from percentages to counting numbers, we move the decimal in the percentage two places behind its original point.
57.0% ---> .57
.57 < 1
question is in png pls help !
Answer:
10
Step-by-step explanation:
has 3⁴+3²= 9 × ------
9× 10 = 90
Write each mixed number as a percent: 7 3/10
Answer:
730%
Step-by-step explanation:
20 points if you answer
Answer:
C.
Step-by-step explanation:
Its C becase, A is not a viable answer because the some of the outputs are not positive. And not B because one input yields 1 output not multiple so its not B. And its not D because as you can see the 'y' side has 2 of the same numbers so its not D. Therefore, the answer is C!
Answer:
C
Step-by-step explanation:
What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?
Answer:
Step-by-step explanation:
N sei
Square root of -1 = 1. Math test
Answer:
false. the sqrt of -1 = i
Step-by-step explanation:
Please answer for me domain and range
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m∠3 = m∠B
AB || DC
AD || BC
None
Answer:
I don't know the answer but I know it is not AB II DC because I did this assignment and got this wrong. This is just to narrow your answer choices down, sorry if this isn't helpful.
Step-by-step explanation:
The line AD is parallel to the line BC. Therefore, option B is the correct answer.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Given that, m∠3 = m∠B
The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
Here, m∠3 and m∠B are corresponding angles and they are equal in measure.
So, AD || BC
Therefore, option B is the correct answer.
To learn more about the corresponding angles visit:
https://brainly.com/question/1597341.
#SPJ7
Help me please! I’ll mark as brainliest!!
Answer:
I think its C. but i might be wrong.
Step-by-step explanation:
SOMEONE PLEASE GIVE ANSWERS TO THE FOLLOWING QUESTIONS (dont say figure it out on your own to please) IN GIVING BRAINIEST!!
Okay so 16 is 2.3 and 17 is 0.0492 18 is 0.4 19 is 420 20 is 0.605 the last one is 6
Graham IS able to add these equations together so that one variable is eliminated.
x+2y=7x+2y=7
4+3y=34+3y=3
True
False
Answer:
It's false
Step-by-step explanation:
PLEASE GIVE ME AS BRAINLIEST
statement: Graham IS able to add these equations together so that one variable is eliminated
answer: false
Given: Log 2=a, log 7=b. Find log 56
Answer:
log(56)=log(7⋅8)=log(7)+log(8)=log(7)+log(23)=log(7)+3log(2)=b+3a
Step-by-step explanation:
Answer:
b+3a
Step-by-step explanation:
log (56)=log (7x8)
Jayne uses long division to convert a rational number
to a decimal. Which of the following statements cannot be true?
00:00
The decimal form of terminates in zeros.
00:00
The decimal form of eventually repeats.
00:00
The decimal form of is a whole number.
The decimal form of
never repeats or terminates
Answer:
Answer: The decimal form of a/b never repeats or terminates.
Step-by-step explanation:
Fractions such as " a/b " can be ratios so they don't terminate.