In the diagram below, triangle A is similar to triangle B. What is the value of n?
In the diagram below, triangle A is similar to triangle B. What is the value of n?
Answer:
n = 2
Step-by-step explanation:
Since ∆A is similar to ∆B, therefore, the ratio of their corresponding sides would be equal.
Thus:
[tex] \frac{10}{n + 2} = \frac{6}{3} [/tex]
[tex] \frac{10}{n + 2} = 2 [/tex]
Multiply both sides by (n + 2)
[tex] \frac{10}{n + 2}(n + 2) = 2(n + 2) [/tex]
[tex] 10 = 2n + 4 [/tex]
Subtract 4 from each side
[tex] 10 - 4 = 2n + 4 - 4 [/tex]
[tex] 6 = 2n [/tex]
Divide both sides by 2
[tex] \frac{6}{2} = \frac{2n}{2} [/tex]
[tex] 3 = n [/tex]
n = 2
10 workers produce 30 complex elements in 10 days. In how many days would 5
workers produce 24 elements?
Given:
10 workers produce 30 complex elements in 10 days.
To find:
The number of days, in which 5 workers produce 24 elements.
Solution:
According to the question, let as assume
[tex]n_1=10[/tex]
[tex]w_1=30[/tex]
[tex]d_1=10[/tex]
[tex]n_2=x[/tex]
[tex]w_2=24[/tex]
[tex]d_2=5[/tex]
where, n is number of workers, w is work done, and d is number of days.
We have, a formula,
[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]
Substituting the values in the above formula, we get
[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]
[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]
Isolate variable x.
[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]
[tex]\dfrac{240}{15}=x[/tex]
[tex]16=x[/tex]
Therefore, the required number of days is 16.
In how many ways can you arrange the books A, B, C, and D on a bookshelf if books A and C must remain neighboring?
a = 65 – 100n
Find a
39
A pharmacologist measured the concentration of dopamine in the brains of several rats. The mean concentration was 1,269 ng/gm and the standard deviation was 145 ng/gm.4 What was the standard error of the mean if:_______.(a) 8 rats were measured?
(b) 30 rats were measured?
Answer:
51.265242 ng/gm ; 26.473257 ng/gm
Step-by-step explanation:
The standard error of the mean = standard deviation / √sample size
Given that:
mean concentration = 1,269 ng/gm
Standard deviation (s) = 145 ng/gm
Standard Error if 8 rats were measured :
Sample size (n) = 8
Standard Error = s / √n
Standard Error = 145 / √8
Standard Error = 145 / 2.8284271
Standard Error = 51.265242 ng/gm
If 30 rats were measured :
Standard Error = 145 / √30
Standard Error = 145 / 5.4772255
Standard Error = 26.473257 ng/gm
Homer is 30 feet below sea level and Marge is 45 feet above sea level. Bart’s elevation is at the exact midpoint of those two values. What is the expression that model this problem, and which is Bart’s elevation?
Answer:
14.5 feet
Step-by-step explanation:
the midpoint is halfway from 30 to 45 so be(bart elevation) b.e = 45 - 30 / 2
7.5 m above sea level
__________________________________________________________
Step-by-step explanation:We are given:
The elevation of Homer = -30 feet [30 feet below sea level]
The elevation of Marge = +45 feet [45 feet above sea level]
The elevation of Bart is at the exact mid-point of the elevations of Homer and Marge
The elevation of Bart:
We are given that the elevation of Bart is at the exact mid-point of the elevations of Homer and Marge
So, Half the distance between the elevation of Homer and Marge is the elevation of Bart
Elevation of Bart (with respect to the elevation of Homer) =
(elevation of Marge - Elevation of Homer) / 2
replacing the variables with the suitable values:
(+45 - (-30))/2
(45 + 30) / 2
75 / 2
Elevation of Bart (w.r.t. Homer) = 37.5 feet
Since this is the elevation of Bart with respect to Homer, we can say that Bart is 37.5 m above Homer
So, we can say that:
Elevation of Bart (w.r.t Homer) = Elevation of Bart - Elevation of Homer
replacing the values
37.5 = Elevation of Bart -(-30)
37.5 = Elevation of Bart + 30
Elevation of Bart = 7.5 m above sea level [subtracting 30 from both sides]
Jason and 4 friends went bowling. Three friends rented shoes for $2 each. The total cost to rent the shoes and the lane fees was $42. What was the cost of the lane fees for each person?
Answer: 7.20$
Step-by-step explanation:
Since there are five people over all, and three of them bought shoes for 2$, you would take 2$ Times that by 3 = 6$, now take that 6$ and subtract that by the 42$, leaving you with 36$ left. Take that 36$ and divide it among the 5 people and you get 7.20$ for a lane
QUESTION 16 Which of the numbers below are related in the same way as 3259 and 2? A. 5789 and 29 B. 3174 and 6 C. 2749 and 4 D. 9047 and 12
Answer:
Option (B)
Step-by-step explanation:
Relation between two numbers 3259 and 2,
3259 → 3 × 2 + 5 - 9 = 2
Now we will check the relation in the given options,
Option (A).
5789 → 5 × 7 + 8 - 9 = 34
Option (B).
3174 → 3 × 1 + 7 - 4 = 6
Option (C).
2749 → 2 × 7 + 4 - 9 = 9
Option (D).
9047 → 9 × 0 + 4 - 7 = -3
Therefore, Option (B) shows the same relation.
for what values of x is x2+2x=24 true?
-6 and -4
-4 and 6
4 and -6
6 and 4
Answer:
It is actually choice c
Step-by-step explanation:
I took the test
Answer:
c
Step-by-step explanation:
banlest plzz
the ratio 60 miles per hour is an example of a because it has two measurements having different units of measure
Answer:
180
Step-by-step explanation:
Answer: ejejejwjfmfmdnc
Step-by-step explanation:
which is a unit rate?
A. 15 miles per gallon
B. 5 pounds in two bags
C. $8 for three boxes of crackers
D. 22 gallons in 5 days
Given: BD is perpendicular to AC, measure DBA = 7x+6. Find x
Answer:
x = 12
Step-by-step explanation:
[tex] \because BD \perp AC... (given) \\\\
\therefore m\angle DBA =90\degree... (1)\\\\
\because m\angle DBA=(7x + 6)\degree... (2)\\[/tex]
From equations (1) & (2)
[tex](7x + 6)\degree= 90\degree \\\\
7x + 6 =90\\\\
7x = 90 - 6\\\\
7x = 84\\\\
x = \frac{84}{7}\\\\
\huge \orange {\boxed {x = 12}} [/tex]
PLEASEEEEEEEEEEE HELP MEH WILL GIVE BRAINLIST PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HURRYYYYYYYYYY
Answer:
the awnser is b
.........
What is the first step equation=6x – 4x + 3 = 15
A.
Add 4x to both sides of the equation.
B.
Subtract 4x to both sides of the equation.
C.
Combined the variable terms on the left side of the equation.
D.
Combine the constant terms on the right side of the equation.
(5.8 x 10^-6): (2 x 10^-3) =
Find the quotient .
write answer in Scientific notation
Megan makes and sell slime online.
Answer:
44 containers
Can someone help me with problems 3&4 please
Answer:
about 37 times
PLEASE HELP
A car dealer offers a 15% discount off the list price x for any car on the lot. At the same time, the manufacturer offers a $1500 rebate for each purchase of a car.
a. Write a function f(x) to represent the price after the discount is applied.
b. Write a function g(x) to represent the price after the rebate is applied.
Suppose the list price of a car is $19,000. Use a composite function to find the price
of the car:
C. if the discount is applied before the rebate;
D. if the rebate is applied before the discount
Answer:
A) f(x) = 0.85x
B) g(x) = x - 1500
C) g(f(x)) = $14650
D) f(g(x)) = $14875
Step-by-step explanation:
A) The list price is x and a 15% discount is applied.
Thus;
f(x) = x - 15%x
f(x) = 0.85x
B) We are told that the manufacturer offers a $1500 rebate for each purchase of a car.
Thus, the function g(x) to represent the price after the rebate is applied is;
g(x) = x - 1500
C)if the discount is applied before the rebate, the function is;
g(f(x))
Now,
f(x) = 0.85(19000)
f(x) = 16150
g(x) = x - 1500
Thus;
g(x) = 16150 - 1500
g(x) = $14650
D) If discount after rebate, then we have; f(g(x))
g(x) = 19000 - 1500
g(x) = 17500
f(g(x)) = 0.85(17500)
f(g(x)) = $14875
Can anyone find the simplest radical form
Answer:
C.) [tex]55[/tex]
Step-by-step explanation:
Simplify the expression by finding the square root of 25:
[tex]\sqrt{x} =x*x\\\\\sqrt{25} =5*5\\\\11*5=55[/tex]
The answer is 55
:Done
Suppose that the age of all the U.S. first ladies when they married was recorded. The mean age of U.S. first ladies when they married would be a:________A) PopulationB) StatisticC) SampleD) Parameter
Answer:
B) Statistic
Step-by-step explanation:
The mean age of U.S. first ladies when they married would be a Statistic. This is because the mean age would be a specifically targeted value of the population that is being analyzed. In this scenario, the population would be all of the First Ladies, while the Sample would be the data gathered from the population under certain parameters. Statistics can be a variety of different values that revolve around the samples gathered such as average age, average height, max number of blue-eyed First Ladies, etc.
Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]
[tex]x_1, y_1[/tex] is (3, 1)
[tex]x_2, y_2[/tex] is (-1, -2)
[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]
which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]
then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]
your final answer is: [tex]\sqrt{13}[/tex] or about 3.61
Paul opened a bakery. The net value of the bakery
(in thousands of dollars) t months after its creation is
modeled by
v(t) = 24
12t - 14
Paul wants to know what his bakery's lowest net
value will be
Rewrite the function in a different form
(factored or vertex) where the answer appears
as a number in the equation.
Answer: v(t)= 2(t-3)^2-32
-32 thousand dollars
Step-by-step explanation:
Did the quiz
Answer:
the first one is correct
Step-by-step explanation:
Sarah has saved 254 pound coins. She puts the pound coins into bags.
There are 20 pound coins in each full bag of coins. Sarah is going to take all her full bags of coins to the bank.
She can only take up to 5 full bags of coins to the bank each day.
Sarah wants to go to the bank on as few days as possible.
On how many days will Sarah need to go to the bank?
Answer:
Step-by-step explanation:
So for the fewest days it would be 3 days. The reason for that is because she has 254 pound coins. And she can inly take 5 bags to the bank a day, all of those 5 bags have 100 pound coins in them. If she take 2 days and get 200 pound coins to the bank. Then on the third day she would only have to bring three bags. So your answer for the fewest days possible is three days!
Hope it helps
Find the equation of the line that is perpendicular to the given line and passes through the given point.
y = − 1/6x − 5; (14, 0)
The equation is y =______.
Answer:
The equation is y =6x-84.
Step-by-step explanation:
We need to find the equation of the line that is perpendicular to the given line and passes through the given point.
y = − 1/6x − 5; (14, 0)
Slope of required line
The equation of given line [tex]y = - \frac{1}{6} x - 5[/tex] is in slope-intercept form.
Comparing it with general formula of slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept. The slope of line m is: -1/6
So, the slope of required line that is perpendicular to given line is 6 because the equation of line that we need to find is perpendicular to the given line, so their slopes will be: [tex]m_1=-\frac{1}{m_2}[/tex]
So, slope = 6
Finding y-intercept of required line
Using slope =6 and point (14,0) we can find y-intercept of required line by slope-intercept formula
[tex]y=mx+b\\0=6(14)+b\\0=84+b\\b=-84[/tex]
Equation of required line:
The equation of required line having slope (m)= 6 and y-intercept (b)= -84 is:
[tex]y=mx+b\\y=6x-84[/tex]
The equation is y =6x-84.
6. Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.
A. 8(2n) < 76 - 12
B. 8n + 2 = 12n - 76
C. 8(n + 2) > 76 - 12n
D. 8(2n) = 76 – 12n
Answer:C it’s bc it says at least 12 time the number subtracted from 76
Step-by-step explanation:
If it’s wrong sry if your gonna be mean to me just work it by your self don’t use brainly
What kind of function describes this situation?
Answer: A
Step-by-step explanation:
because she's deducting 10 points every day the slope is constant so it has to be a linear equation
Borrowers choosing an adjustable-rate mortgage
pay a higher interest rate during the first few years.
are often forced to sell their homes after the first year.
often pay a lower interest rate during the first few years.
agree to accept no risk when borrowing money.
Answer:
Often pay a lower interest rate during the first few years
Step-by-step explanation:
Option c on edge. 2020
Answer:
C
Step-by-step explanation:
help me with this question if you don’t mind❗️
Answer:
12m by 3m
Step-by-step explanation:
lol please mark brainliest
How do you evaluate a division problem
Answer:
Step-by-step explanation:
Not wanting to be trite, i'd still suggest that you use a calculator for routine division. Round off your answer (quotient) to an appropriate number of decimal places.
For example, 2/3 comes out to 0.66666 ... (repeating decimal). You might want to round this off to 2 decimal places: 0.67.
The old fashioned "long division" is another method.
0 . 6
-----------
3 / 2 . 0 0 0
0. 0 0 0
---------------------
1. 8
and so on. You still need to round off the quotient to a suitable number of decimal places.
-4/9 divided by 2/3 what would the answer be?
Answer:
-4/9*3/2
-4*3/9*2
-12/18
-2/3
Answer:
-2/3
Step-by-step explanation:
-4/9 divided by 2/3
you turn divided into multiplied and flip the second number
-4/9*3/2
you can cross multiply.
once you have simplified you should have
-2/3*1/1
simplified further to
-2/3*1
so,
-2/3 is the answer :)