Answer:
x = -3
Step-by-step explanation:
[tex]-54= 6(x-6)\\\\-9=x-6\\\\x=-3[/tex]
Answer:
x=-3
Step-by-step explanation:
-54= 6(x-6)
switch sides = 6(x-6)=-54
divide both sides by 6 =x-6=-9
add 6 to both sides = x=-3
x=-3
True or false density is mass overv weight
Answer:
true
Step-by-step explanation:
lel I do not process
Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Answer:
a) 10th term is 0.051
b) The sum of first 18 terms of given sequence is 51.48
Step-by-step explanation:
We are given the sequence 26, 13, 6.5, ..... we need to find
a) 10th term
b) Sum of first 18 terms
Before solving we need to determine if the sequence is arithmetic or geometric
The sequence is arithmetic if common difference d is same.
The sequence is geometric if common ratio r is same.
Finding common difference d: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5
As common ratio is same so, the sequence is geometric.
a) Finding common difference: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
a) 10th term
The formula to find 10th term is: [tex]a_n=a_1r^{n-1}[/tex]
We have a₁=26 and r = 0.5 n=10
[tex]a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051[/tex]
So, 10th term is 0.051
b) Sum of first 18 terms
The formula to find sum of geometric series is: [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
where a= 1st term, r = common ratio and n= number of terms
In the given sequence we have
a=26, r=0.5 and n=18
Finding sum of first 18 terms
[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48[/tex]
So, sum of first 18 terms of given sequence is 51.48
The Quotient of 5 times a number and 7 is no more than 10.
need help pls help :(
Answer:
Neither
Step-by-step explanation:
function A is non linear
solve the system of equations 8x+2y=6
y= -4x+3
Which of the following represents a "rule of thumb" for how much
student loan debt you should be willing to incur to pay for college?
Answer:
Rule of thumb is;
Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.
Step-by-step explanation:
When calculating the loan a college student can afford, a rule of thumb comes in very handy which is that:
Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.
This is because If your total student loan debt is less than your proposed annual income, it means all things being equal, you would be able to pay back the loan in about 10 years or less. However, if the loan debt exceeds your proposed income, it means you are likely to going to struggle and find it very difficult to repay your loan.
is this a triangle :/
Answer:
Could you please attach the image in another question, you have nothing attached to this one.
What would this be ?
Answer:
-8,1 mabey I don't really know
What value represents the upper quartile of the box plot shown?
Answer:
33
Step-by-step explanation:
The median is 26 and the lower quartile is 19
What is the ratio 15 to 35 written as a fraction in lowest terms? 13 37 35 57
Answer:
Step-by-step explanation:
15:35 should be 3/7
1/5 - 3/4
im giving 95 points for this so plz give me right answer
(4x + 13x2 +27x+6) = (4x + 1)
Answer:
x=-5/53
Step-by-step explanation:
1. Add similar elements: 4x+27x=31x
2. Multiply 13 times 2 to get 26
3. Once again add the similar elements: 31x+26x=57x
4. Expand!!: Originally (4x+1) take away the Parentheses!!
5. 57x+6=4x+1
6. Subtract 6 from both sides: 57x+6-6=4x+1-6
7. Simplify: 57x=4x-5
8. Subtract 4x from both sides: 57x-4x=4x-5-4x
9. Simplify: 53x=-5
10. Divide both sides by 53: 53x/53= -5/53
11. x= -5/53
Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
Answer:
A: 6 + 2(x + 4) = 1/2(3 - x)
what is Carol’s total hours worked? And what is Carol’s total gross income
Answer:
1.230 hours
2.$4,045
Step-by-step explanation:
1.40+40+40+40=160 for full time job
20+10+15+25=70for part time job
add =230 hours
2.160*18.15=2,960 for full time job
70*15.5=1,085 for part time job
add = $4,045
Find the equation of the line that
- is perpendicular to the line y=3x-1
and
-passes through the point (7,4)
Answer:
y = -1/3x + 19/3
Step-by-step explanation:
let the equation of the line be y = mx + b
since it is perpendicular to y = 3x - 1, these two lines's gradient when producted gives -1.
hence, 3 x m = -1
m = -1/3
sub m = -1/3 and (7, 4):
4 = -1/3(7) + b
b = 19/3
therefore, equation of the line is y = -1/3x + 19/3
Topic: coordinate geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
which is incorrect rounding for 53.864?
Please help me!
Answer:
52
Step-by-step explanation: This would be incorrect because 53.864 must round up.
helppp? if possible
Answer:
x=9
Step-by-step explanation:
8x-14=2(2x+11)
8x-14=4x+22
4x=36
x=9
Which of the following situations can be modeled with a periodic function?
Answer:
the height of a pebble stuck in the tread of a tire
Step-by-step explanation:
hope it helps. make the brainliest
Answer:
the height of a flag on one blade of a windmill, the height of a ball suspended from a spring
Step-by-step explanation:
edge2020
A website charges $3 for each
movie you
download. They also charge a one-time sign-up
fee of $14.99
Think about the relationship. Which equation
models the cost c(m), of renting m movies?
What is the input variable?
V m, the number of movies.
What is the output variable?
c, the total cost.
Answer:$ 3m+$14.99
Step-by-step explanation:
$3 for each movie $3+14.99
What is the domain of the function?
Answer: m= 0, 1, 2, 3...
What is the value of 6(g+2)h when g = 6 and h = 4?
Answer:
6(6+2)4
6×8×4 = 192
Answer is 192
Answer:
12
Step-by-step explanation:
6(g+2)h=6(6+2)4=6(8)4=484=12
Write the product(2+7i)(2-7i) in the form a+bi
Answer:
53
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
(2 + 7i)(2 - 7i)
(2 * 2) + (2 * -7i) + (7i * 2) + (7i * -7i)
4 + -14i + 14i + [tex]-49i^{2}[/tex]
4 + [tex]-49i^{2}[/tex] ([tex]i^{2}[/tex] = -1)
4 + (-49 * -1)
4 + 49
53.
53 is the result.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.
What is an imaginary number?An imaginary number is denoted by i.
The value of i is √-1.
i² = √-1² = -1
We have,
(2 + 7i) (2 - 7i)
We need to write in the form of a + bi.
a + bi
a = real number
b = imaginary part
(2 + 7i) (2 - 7i)
Remove the brackets.
= 2 x (2 - 7i) + 7i x (2 - 7i)
= 4 - 14i + 14i - 49i²
= 4 - 14i + 14i - 49 x -1
= 4 - 14i + 14i + 49
= 4 + 49
= 53
We have only the real part.
So,
The product of (2 + 7i) (2 - 7i) is 53 + 0i.
Thus,
The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.
Learn more about imaginary numbers here:
https://brainly.com/question/6748860
#SPJ5
which equation represents the relationship between x values and y values in the table
y=4x+6
y=2x+4
y=x+4
2x+12
x y
0 4
2 16
4 28
6 40
10 64
Christina biked 36 miles in 6 hours. If she biked at a constant speed, how many miles did she ride in one hour?
Answer:
6
Step-by-step explanation:
because you divided the amount of mile by the amount of time it took to get your answer
I need help please )):
2. How can the trend line equation be used to
predict the cost of gas per gallon in the year
1992?
a. Substitute 92 for x in the equation.
b. Substitute 92 for y in the equation.
c. Substitute 22 for x in the equation.
d. Substitute 22 for y in the equation.
Answer:
c. Substitute 22 for x in the equation.
Step-by-step explanation:
The scatter plot of this question is missing, so i have attached it.
The slope equation of this is written as;
y = mx + b
Where;
y is the values in the y-axis
x is the values in the x-axis
b is the intercept on the x-axis
Now, from the scatter plot of the trend line, we can see that the values in the x-axis represent the number of years after 1970 while the y-axis shows us the price of gas per gallon for each corresponding year.
Now, we want to use the trend line equation be used to predict the cost of gas per gallon in the year 1992.
Year 1992 means 22 years after 1992. Since we have our y-intercept from the scatter plot to be 0.25, then to find the cost of gas per gallon in the year 1992, we will just plug in 22 for x and 0.25 for b into the slope line equation.
Answer:
C
Step-by-step explanation:
I know
show any calculations, including 180 degrees, go step by step pls.
Answer:
120°, 120°, 60°, 60°
Step-by-step explanation:
m∠1 = 180° - 60° = 120°
m∠1 = m ∠2 (alternate interior)
m∠3 = 60° (vertical to given angle)
m∠4 = m∠3 (alternate exterior)
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many students are boys?
Answer: 20 boys
Step-by-step explanation:
4+3 = 7 total parts
let x be one part
7x=35
x=5
4x=20
Calculate surface area of a sphere with a radius of 13.
Answer:
2123.72
Step-by-step explanation:
A=4πr2=4·π·132≈2123.71663
Answer:
2120 (rounded off to 3 s.f.)
Formula:
Surface area of sphere = 4×pi×r²
Step-by-step explanation:
Apply the formula with the radius as 13:
4×pi×13² = 4×pi×169
= 676pi
= 2120 (rounded off to 3 s.f.)
b)
Here are the ingredients needed to make 8 pancakes.
Submit Ans
250 ml milk
1 egg
140 g flour
5g butter
a)
Simon makes 4 pancakes.
Work out how much milk he needs.
b) Craig makes 12 pancakes.
Work out how much butter he needs.
Answer:
a) 125 ml milk
b) 7.5g butter
Step-by-step explanation:
a) 250ml of milk to make 8 pancakes
That means 125ml ((250/8) × 4 ml) of milk = 4 pancakes
b) 5g of butter = 8 pancakes
That means 7.5g ((5/8) × 12 g) of butter = 12 pancakes
a positive number multiplied by a negative number equal a positive number. True or False
Answer: False
Step-by-step explanation:
Example 3 times -3= -9
Answer: False
Step-by-step explanation:
Positive * Positive = Positive
Negative * Positive = Negative
Negative * Negative = Positive