Answer:
x = 38
Step-by-step explanation:
We can set both angles equal to 180° since they are same side interior angles;
(2x - 10)° + 3x° = 180°
5x - 10° = 180°
5x = 190°
x = 38
Hope this helps!
A city doubles its size every 24 years. If the population is currently 145,000, what will the population be in 48 years?
Answer:
145000x2
=answer
then
answer×2
= final answer
Answer:
580,000 people
Step-by-step explanation:
First, find out how many times the population will double. Divide the number of years by how long it takes for the population to double.
48÷24=2
The population will double 2 times.
Now figure out what the population will be after it doubles 2 times. Multiply the population by 2 a total of 2 times.
145,00022=580,000
That calculation could also be written with exponents:
145,000 x 2^2=580,000
After 48 years, the population will be 580,000 people.
1,030 at 4% compounded semiannually for 2 years
Answer: $1114.91
Step-by-step explanation:
The formula for compound interest is
[tex]A= P(1+\frac{r}{n})^{nt} \\[/tex]
Where
A = final amount
P = initial principal balance (1030 for this)
r = interest rate (0.04 for this)
n = number of times interest applied per time period (2 for this)
t = number of time periods elapsed (2 for this)
[tex]A= 1030(1+\frac{.04}{2})^{(2)(2)} \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125[/tex]
This rounds up to $1114.91
How many molecules of hydrogen chloride would there be in 100. 00 grams of this gas? please help
Answer:
9.5 * 10^23 molecules of HCl
Step-by-step explanation:
just a note this might be better to put in the chem section next time since this is a stoichiometry question
the molar mass of HCL is 1.007 + 35.45 = 65.457 g/mol
to find the number of moles, divide 100 by 65.457
then multiply the number of moles by 6.22 * 10^23 to get the number of molecules
[tex]100.00g * \frac{1 mol}{65.457g} * \frac{6.22 * 10^{23} molecules }{1 mol} = 9.502 * 10^{23} molecules[/tex]
Give the degree of the polynomial.
4
u v + 3y'wu^ +6w+ + 6
Answer:
12 is the polynomial degree
PLEASE help me. This is honestly super confusing and I would love it if someone answered it. Also, please explain your answer as well. Thank you :)
Check the picture below.
so the wall is 146 inches wide, half of that is 73 inches.
the painting is 30 and 1/2 inches wide, half that is 15 and 1/4 inches.
if we subtract half the width of the painting from half the wall's width, the center of the painting will match the center of the wall.
[tex]73~~ - ~~15\frac{1}{4}\implies 73~~ - ~~\cfrac{61}{4}\implies \cfrac{292~~ - ~~61}{4}\implies \cfrac{231}{4}\implies 57\frac{3}{4}[/tex]
Taylor starts a trip to the mall with $160 cash. After 20% of it is spent, seven-eighths of the remainder is lost to a pickpocket. This leaves Taylor with how much money?
Answer: $16
r=remainder
s=spent
r'=final remainder
160
160-(160 x .20) = r OR 160 x .80 = r
160-32 = r = 128 = 160 x .80 =
Then , 7/8 is lost so:
128 - (7/8 x 128) :
7/8=.875
128-(.875 x 128)
Using PEMDAS:
128-(112):
128-112= $16
Find the mean, median, and mode of the data with and without the outlier. 85, 77, 211, 88, 91, 84, 85
Answer:
With Outlier:
Median: 85
Mean: 103
Mode: 85
Without Outlier:
Median: 85
Mean: 85
Mode: 85
Step-by-step explanation:
Basically order the numbers from least to greatest. Include the outlier to find the median, mean, and mode. The median is clear as day with the outlier, being the middlemost number: 77, 84, 85, 85, 88, 91, 211. To find the mean, just add all of the numbers together and then divide them by how many numbers there are. In this case, that'd be 7 and you get 103. The mode is simple as it's the number that repeats the most, which is basically 85 since it repeats twice in the set. After you find the median, mean, and mode with the outlier, now rewrite the numbers (still least to greatest) but excluding the outlier (211). It should now be 77, 84, 85, 85, 88, 91. For the median, our middlemost numbers are 85 and 85, so simply just add them together and then divide by two. This gets you 85 for the median. For the mean, simply just add the numbers in the new set excluding the outlier and divide by 6 since that's how many numbers we have in the set now. This gives you 85. The mode is the number most repeated, and that's still 85.
A polygon that undergoes a series of transformations such that the image has the corresponding sides and angles of equal measure to those of the original, it can be said that the original and the image are congruent. true or false
Yes the pre image and image are congruent always
See
They are transformed through a constant scale factor so they ought to be same .
And
If there angles of one triangle (pre image) are congruent to rest three(image) then triangles are congruent by AAA congruence
HELP ME PLS FOR 90 PTS
In the number 1.1084, how does the value of the 1 in the ones place compare to the value of the 1 in the tenths place?
a The value of the 1 in the ones place is 1/10 the value of the 1 in the tenths place.
b The value of the 1 in the ones place is 10 times the value of the 1 in the tenths place.
c The value of the 1 in the ones place is 1/100 the value of the 1 in the tenths place.
d The value of the 1 in the ones place is 100 times the value of the 1 in the tenths place.
Answer:
a
Step-by-step explanation:
The value of the 1 in the ones place is 1/10 the value of the 1 in the tenths place.
PLEASE HELP ASAP! WILL GIVE BRAINLIEST! (Please complete both)
Answer:
A: 5 cm2
B: 9 3/8 cm2
Step-by-step explanation:
Question A:
4 x 1 1/4
4/1 x 5/4 = 20/4
20/4 = 5 cm2
Question B:
3 3/4 x 2 1/2
15/4 x 5/2 = 75/8
75/8 = 9 3/8 cm2
How many degrees is the angle measurement of
Answer:
x° = 37.13°
Step-by-step explanation:
13.4 = cathetus opposite the angle "x°"
22.4 = hypotenuse
[tex]sin(x^{o}) =\frac{13.4}{22.2}=0.6036[/tex]
[tex]x^{o} =sin^{-1} (0.6036)=37.13^{o}[/tex]
Hope this helps
xy and 5x²y are like terms. *
1 point
True
False
Like terms are polynomials that have the same variables with their exponents. *
1 point
True
False
The product obtained in square of binomial is the difference of two squares. *
1 point
True
False
The sum of x and 3x is 4x *
1 point
True
False
In the acronym FOIL Method, O means opposite. *
1 point
True
False
Expression 10 + k has two terms 10 and k. *
1 point
True
False
– 7xy and 27xyz are unlike terms. *
True
False
8z has two terms 8 and z. *
True
False
xy and – xy are like terms *
True
False
Option 3
The answer obtained in multiplying two binomial is a monomial. *
True
False
Answer:
now let's answer this question:
Step-by-step explanation:
1) False
the power 2 spoiled everything.
2) False
like therms aren't always polynomials.
3)False
it's doesn't always come out as diff. of two squares.
4)True
1x+3x =4x ( imagine 1 + 3 = 4 s) ( sum means "add up").
5)False
the O in FOIL means "outer" or "outside" (tip: FOIL means "First", "Outside", "Inside", "Last").
6) True
we can't add them together, they're "unlike terms".
7)True
"Z" is missing in the first term
8) False
they're were multiplied which means they become one term now.
9)Trueeee
having a negative symbol doesn't change nothing
10)False
it's will still take the power it came with which is "2"
e.g 3^2 x 4^2 = 12^2 ( not 12^1 ).
Hope it helps...
thanks
shawnye drinks 1/2 of 6-ounces glass of water in 2/3 hours how much water dose she drink in 1 hour.
Answer:
She drinks 4.5 oz in 1 hour.
Step-by-step explanation:
First,
1/2 of 6 would be 3
Shawnte drinks 3 ounces of water in 2/3 hrs.
3 oz = 2 / 3 hr
Multiply both sides by 3 to get 2 alone.
3*(3 oz) = 3*(2/3 hr)
9 oz = 2 hrs
She drinks 9 ounces of water in 2 hours.
9 / 2 oz = 2 / 2 hrs
Divide both sides by 2 so you can get how much she drinks in one hours
4.5 oz = 1 hr
An easier way of doing this is dividing both sides by (2/3)3 oz = 2/3 hrsDivide both sides by 2/34.5 oz = 1 hrsAnd boomIt takes 4/5 of an hour to paint 2/5 of a room, how long does it take to paint one room?
Answer:
It should be 2/5 hours. 4/5 - 2/5 is 2/5.
Step-by-step explanation:
HCF of 77,91 and 143 using division method
1
hope it helps....!!!!!
through (-2,5)
and (2, 1)
Answer:
x + y = 3
Step-by-step explanation:
The equation of a line through two points can be found using the 2-point form for the equation of a line:
y -y1 = (y2 -y1)/(x2 -x1)(x -x1) . . . . . line through points (x1, y1) and (x2, y2)
__
y -5 = (1 -5)/(2 -(-2))(x +2) . . . . using points (-2, 5) and (2, 1)
y -5 = (-4/4)(x +2)
y -5 = -(x +2) . . . . . . equation in point-slope form
y -5 = -x -2
y = -x +3 . . . . . . . . . equation in slope-interept form
x + y = 3 . . . . . . . . . equation in standard form
3. 4g (2) + 7g - h
A. g-h
B. 159 - h
Answer:
15g-h is the answer......
Find the 8th
term of the geometric sequence 8, 16, 32. ..
the 8th term of the geometric sequence 8, 16, 32 is 1024
first we have to find the ratio
r=2
then, we have to find the 8th term
U8=1024
The circumference of a circle is 15.03
m. Find the radius and round to the
nearest hundredth.
Answer:
2.39 meters
Step-by-step explanation:
Given:
Circumference = 15.03 metersCircumference:
[tex]\displaystyle \large{C=2\pi r}[/tex]
C = circumference = 15.03r = radiusTherefore:
[tex]\displaystyle \large{15.03=2\pi r}[/tex]
Divide both sides by 2π:
[tex]\displaystyle \large{\dfrac{15.03}{2\pi}=\dfrac{2\pi r}{2\pi}}\\\displaystyle \large{2.3920... = r}[/tex]
Round to nearest hundredth:
[tex]\displaystyle \large{r=2.39}[/tex]
Therefore, the radius is 2.39 meters
6. Find the value of x to the nearest tenth. Volume of the
cylinder is 602.88 cm3.
Volume: 602.88 cm3
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=x\\ h=12\\ V=602.88 \end{cases}\implies \begin{array}{llll} 602.88=\pi (x)^2(12)\implies \cfrac{602.88}{12\pi }=x^2 \\\\\\ \sqrt{\cfrac{602.88}{12\pi }}=x\implies 4.0\approx x \end{array}[/tex]
5 STARS ON YOUR ACCOUNT!!! AND COMMENTS AND A THANK YOU
Essentially, we want to find the number of ounces of dough she used to measure:
⇒ which means that we must convert the:
⇒ grams of dough to ounces of dough
⇒ 28.6 grams = 1 oz
Essentially,we can set up a proportion:
⇒ 28.6 grams to 1 oz
⇒ is to 200.2 grams to 'x' oz
(mathematically)
[tex]\frac{28.6}{200}=\frac{1}{x} \\28.6x = 2000\\x = 6.99[/tex]
Thus 200.2 grams is to 7 oz (rounded)
Answer: 7 ounces
Hope that helps!
please help me
Nikita performed an experiment in which she randomly pulled a marble from a bag, recorded its color, placed it back in the bag, and then repeated. The results are shown in the following table.
Result Frequency
Red 20
Purple 24
Blue 12
Based on the experiment, what is the probability of drawing a blue marble?
Enter your answer as a fraction, like this: 42/53
The probability of drawing a blue marble is the likelihood of blue marbles
The experimental probability of drawing a blue marble is 3/14
How to determine the probability?The probability of drawing a blue marble is calculated using:
P(Blue) = Blue/Total
So, we have:
P(Blue) = 12/(20 + 24 + 12)
Evaluate the sum
P(Blue) = 12/56
Simplify
P(Blue) = 3/14
Hence, the experimental probability of drawing a blue marble is 3/14
Read more about probability at:
https://brainly.com/question/251701
Answer: 3/14
Step-by-step explanation:
f(x): x^2+1
g(x) = 5-x
(f + g)(x) =
1. X^2 + x - 4
2. X^2 + x +4
3. X^2-x + 6
4. X^2 + x + 6
thank you!
Answer:
f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ). Solution. Step 1. Find ( f – g ) ( x ). ( f – g ) ( x ) = f ...
Step-by-step explanation:
A line passes through (-5,2) and has a slope of -1. What is an equation of the line in slope-intercept form?
A. y+2=-(x-5)
B. y=-x-3
C. y-2=-(x+5)
D. y=-x+3
Answer:
B. y=-x-3
Step-by-step explanation:
[tex]f(x) = ax + b \\ a = - 1 \\ (x \: y) = ( - 5 \: \: 2) \\ f( - 5) = - ( - 5) + b = 2 \\ 5 + b = 2 \\ b = - 3 \\[/tex]
So,
[tex]f(x) = - x - 3 \\ y = - x - 3[/tex]
Hope it helps
Equation in point slope form
y-y1=m(x-x1)y-2=-1(x+5)y-2=-x-5y=-x-3The area of a triangle is 12 square feet. If the base is 6 feet, what is the height of the triangle?
Options:
2 feet
1 feet
6 feet
4 feet
Answer:
4 feet
Step-by-step explanation:
A=hbb
2
Solving forhb
hb=2A
b=2·12
6=4ft
The first three terms of a sequence are given. round to the nearest thousandth (If necessary). 15,18,108/5 Find the 7th term pls help
The sequence 15, 18, 108/5 is a geometric sequence
The value of the 7th term is [tex]44\frac{2468}{3125}[/tex]
How to determine the 7th term?The sequence is given as:
15, 18, 108/5
The above sequence is a geometric sequence with the following parameters:
First term, a = 15
Common ratio = 18/15
The nth term of a geometric sequence is:
an = a * r^(n - 1)
So, the 7th term is:
a7 = a * r^6
This gives
a7 = 15 * (18/15)^6
Evaluate
[tex]a_7 = 44\frac{2468}{3125}[/tex]
Hence, the value of the 7th term is [tex]44\frac{2468}{3125}[/tex]
Read more about sequence at:
https://brainly.com/question/6561461
Mary did not pay last month's credit card bill in full. Below is a list of Mary's daily balances for his last billing cycle.
For 6 days she owed $500.00
For 4 days she owed $350.26
For 7 days she owed $568.45
For 8 days she owed $480.34
For 6 days she owed $649.90
Type your answer.
500+350.26+568.45+480.34+649.90 = $2548.95
hope it really helps...!!!
HELP I WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORECCTLY HELPP
liam earned $11.50 for each lawn mowed. he has a total of $81.77 after spending $10.23 on regular maintenance. write an equation to find how many lawns liam mowed
Answer:
11.50x - $10.23 = $81.77
Step-by-step explanation:
$11.50 is how much he made per hour and X is the number of lawns he mowed, but we don't know exactly how many.
$11.50x tells us how much money he made.
He spent some of that money, $10.23, on maintenance so
$11.50x - $10.23 he spent = $81.77 which is the amount of money they said he has left
Use the graph to determine which statement describes f(x).
AY
5
y = f(x)
5
A
O A. R(x) does not have an inverse function, because its graph fails the
vertical line test
B. f(x) does not have an inverse function, because its graph fails the
horizontal line test
O C. Rx) has an inverse function, because its graph passes the vertical
line test
OD. Rx) has an inverse function, because its graph passes the
horizontal line test.
Answer: B
Step-by-step explanation:
The solution is : B. f(x) does not have an inverse function, because its graph fails the horizontal line test.
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
here, we have,
In the graph, we can see two asymptotes at x = 1.
This means that the denominator is equal to 0 when x = 1, then we can write:
f(x) = A/(x - 1)
Where we can start thinking that A is a constant.
Now we also can see that when x = 2, f(2) is equal to 1, or:
f(2) = 1.
Then:
f(2) = 1 = A/(2 - 1) = A/1
Then we have A = 1.
Then our function is:
f(x) = 1/(x - 1)
Hence, The solution is : B. f(x) does not have an inverse function, because its graph fails the horizontal line test.
To learn more on graph click:
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Which statement describes the relationship between x and y PLEASE HELP
As x increases, y decreases.