Given :
The given two triangles are similar .To find :-
The value of x .Solution :
In larger triangle :-
90 + y + y = 1802y = 180 - 90 2y = 90 y = 45°As we know that ,
Corresponding Angles of similar triangles are same ,
15x = 45x = 45/15 x = 3The expression shown is equivalent to
A:-4w⁶
B:-4W³y
C:9W⁶
D:9W³
Between P.M. and A.M., the water level in a swimming pool decreased by 12/25 inches
. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
12/25
Step-by-step explanation:
10 ways to divide 96 equally
96 divided by 2 = 48
96 divided by 3 = 32
96 divided by 4 = 24
96 divided by 6 = 16
96 divided by 8 = 12
96 divided by 12 = 8
96 divided by 16 = 6
96 divided by 24 = 4
96 divided by 32 = 3
96 divided by 48 = 2
2. An apartment complex has a demand given by p = -5x + 860,
where x is the number of apartments rented and p is the price
for each apartment, in dollars. The cost of maintaining the
complex is $120 per rented apartment. There are fixed costs of
$6000.
a) Find the revenue equation.
b) Find the cost equation.
c) Find the profit equation.
d) Find the number of apartments that must be rented to break
even.
The required equations computed from the data given are :
R(x) = 860x - 5x²C(x) = 120x + 6000P(x) = 740x - 5x² - 6000Break even point = 139 gallons and 9 apartmentGiven the Parameters :
Price per apartment, p = - 5x + 860x = number of apartments rented Fixed cost = 6000Maintainance cost per apartment = $120The Revenue Function, R(x) :
Price per apartment × Number of apartments rented (-5x + 860)x ; R(x) = 860x - 5x²The Cost equation, C(x) :
Fixed cost + Maintenance cost per apartment C(x) = 6000 + 120xThe Profit function, P(x) ::
P(x) = R(x) - C(x)
P(x) = 860x - 5x² - (6000 + 120x)
P(x) = 860x - 5x² - 6000 - 120x
P(x) = 740x - 5x² - 6000
Number of apartments required to break even :
At break even ;
P(x) = 0
740x - 5x² - 6000 = 0
Divide through by 5
-x² + 148 - 1200 = 0
Using a quadratic calculator :
The roots are (139.39, 8.60)
Therefore. The company will break even at 139 apartments rented or 9 apartments.
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the square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole
Answer:
fraction: 62/100=31/50
decimal: 0.62
percentage: 62%
Step-by-step explanation:
write an addition equation or subtraction equation your choice to describe the diagram. I'll Mark brainest
Answer:
[tex]0+2-4=-2[/tex]
Step-by-step explanation:
We start at 0 and move 2 to the right to get to 2. Then, we move 4 to the left to get to -2.
So, our equation is [tex]0+2-4=-2[/tex], the 0 being our starting point, the +2 coming from moving to the right 2, the -4 coming from moving to the right 4, and the -2 being our end point.
Dịch các câu sau đây thành các biểu thức logic bằng cách sử dụng các vị từ, lượng từ và các liên từ: a) Không có ai là hoàn hảo h) Không phải mọi ngươi đều hoàn hảo c) Tất cả các bạn của bạn là hoàn hảo. d) Một trong sỐ các bạn của bạn là hoàn hảo. e) Mọi người đều là bạn của bạn và đều hoàn hảo. ) Không phải mọi người đều là bạn của bạn hoặc có ai đó không hoàn hảo.
Answer:
that's alot but no english speak english it is long
What were some of their hardships in r obstacles that Martin Luther king jr had in their life?
In your own words
Answer: I would say that some of the Three challenges Martin Luther King Jr. faced in the battle for equal rights included the opposition of "good" white people to his tactics, his realization that the only way to win civil rights was to proceed nonviolently, and pushback against his plan in the late 1960s to unite Black people and white people in a war on poverty.
Step-by-step explanation:
Answer:
Martin Luther king faced many hardships and challenges in the duration of his life. His right to freedom of speech was violated constantly, resulting in him to get arrested, threatened, bombed, and even stabbed. He was targeted by people who didn’t want change. They wanted things to stay the way they were, where segregation was enforced, and the inequality of races continued. Although he was a subject to violence all his life, he never gave up and his dream impacted the world and became a reality.
Step-by-step explanation:
divide
-4 2/5 % (-5)
a. -22/55
b.8/25
c.22/55
d.-8/25
Answer:
c but the real answer is 2/25
Step-by-step explanation:
5,339x6= What is the estimate
- BRAINLIEST answerer ❤️
Evaluate.
−|a+b|/2−c when a=1 7/8 , b=−1 , and c=−4
Enter your answer as a simplified fraction in the box.
a= 1 7/8 {Given}
b=-1
c=-4
Putting values;[tex] \frac{ - | 1\frac{7}{8} + ( - 1)| }{2} - ( - 4)[/tex]Convert the mixed number to an improper fraction[tex] \frac{ - | \frac{15}{8} + ( - 1) | }{2} - ( - 4)[/tex]When there is a + in front of an expression in parentheses, the expression remains the same&When there is a - in front of an expression in parentheses, change the sign of each term in the expression[tex] \frac{ - | \frac{15}{8} - 1| }{2} + 4[/tex]Calculate the difference[tex] \frac{ - | \frac{7}{8} | }{2} + 4[/tex]The absolute value of any expression is always positive or zero[tex] \frac{ - \frac{7}{8} }{2} + 4[/tex]
Use [tex] \frac{ - a }{b} = \frac{a}{ - b} = - \frac{a}{b} [/tex] to rewrite the fraction[tex] - \frac{ \frac{7}{8} }{2} + 4[/tex]Simplify the complex fraction[tex] - \frac{7}{16} + 4[/tex]Calculate the sum[tex] \frac{57}{16} [/tex]Solved ✔︎An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of -|a + b| / 2 - c when a = [tex]1\frac{7}{8}[/tex], b = -1, and c = -4 in a mixed fraction is [tex]3\frac{9}{16}[/tex].
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
- |a + b| / 2 - c
The value of -|a + b| / 2 - c
when,
a = [tex]1\frac{7}{8}[/tex] = 15/8
b = -1
c = -4
= [- |a + b| / 2 ]- c
= [ - | 15/8 + (-1) | / 2] - (-4)
= [ - | 15/8 - 1 | / 2 ] + 4
= [ - | (15-8)/8 | / 2 ] + 4
= [ - | 7/8 | / 2 ] + 4
= { -7/(8 x 2) ] + 4
= -7/16 + 4
= (-7 + 16x4) / 16
= (-7 + 64) / 16
= 57 / 16
We have to write in a mixed fraction.
= [tex]3\frac{9}{16}[/tex]
Thus,
The value of -|a + b| / 2 - c when a = [tex]1\frac{7}{8}[/tex], b = -1, and c = -4 in a mixed fraction is [tex]3\frac{9}{16}[/tex].
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Constance will put $500 in a savings account. Which option should she choose so that she will have the most money?
1 year at 12 percent
1 year at 9 percent
2 years at 7 percent
2 years at 5 percent
Answer:
2 years at 7 percent
Step-by-step explanation:
Let's do math on each option
$500 x .12 = $60 interest
$500 x .09 = $45 interest
$500 x 0.07 = $35 x 2 = $70 interest
$500 x 0.05 = $25 x 2 = $50 interest
Answer:
B
Step-by-step explanation:
I got 100 percent
I NEED HELP ON THIS SO I CAN PASS
Answer:
the answer is 1st.
because _ ✖️ _= +
Another way to write above expression is :
[tex]{ \bigg( - \dfrac{2}{3} \bigg) }^{2} [/tex]A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin ☺️
simplify the expression -2(x+3)
Answer:
-2x - 6
Step-by-step explanation:
I used a calculator :)
The answer is number 3
-2x-6
Hope this helps
Given the function y = (x - 2)2 graphed below, which restriction of the domain will result in
the inverse being a function?
VIEW IMAGE FOR GRAPH!
A: y = (x - 2)^2 , x ≥ 1
B: y = (x - 2)^2 , x ≥ 2
C: y = (x - 2)^2 , x ≥ 0
D: y = (x - 2)^2 , x ≥ -2
The restriction of the domain of the function will be y = (x - 2)², x ≥ 2. Then the correct option is B.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
Then the parabolic function is given below.
y = (x - 2)²
The restriction of the domain will result in the inverse being a function given as,
x - 2 ≥ 0
x ≥ 2
The restriction of the domain of the function will be y = (x - 2)², x ≥ 2. Then the correct option is B.
More about the function link is given below.
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1 gallon can of paint for $13.99 and 5 gallon bucket of paint for $67.45. Which one is cheaper
Answer:
the 5 gallon
67.45 ÷ 5= $13.49
The correlation coefficient for the costs and sizes of storage container is 0.55. How
are the costs and sizes of the containers related?
Answer:
There is a positive correlation between both variables.
Step-by-step explanation: That is to say, the relation between the cost and the size of the storage containers is growing.
As the size of the container increases the cost also increases.
The closer the correlation coefficient is to 1, the stronger is the positive relationship between the variables, in this case r = 0.52, so it could be concluded that the relationship between the variables is a medium positive correlation
A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable predict changes to the value of another.
The costs and sizes of the containers are moderately correlated.
What is a correlation coefficient?A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable predict changes to the value of another.
We have,
The correlation coefficient for the costs and sizes of the storage container is 0.55.
We know that,
Correlation coefficients whose magnitude is between 0.5 and 0.7 indicate that the variables are moderately correlated.
Correlation coefficients whose magnitude is between 0.3 and 0.5 indicate that the variables are a low correlation.
Since the correlation coefficient for the costs and sizes of the storage container is 0.55, it is between 0.5 and 0.7.
So it is moderately correlated.
Thus the costs and sizes of the containers are moderately correlated.
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The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 point
(g + 4) – 3g = 1 + g
can someone help me?
G=?
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
11, 6, 1, ...
Answer:
Arithmetic, common difference = -5
Step-by-step explanation:
11 - 6 = 5
6 - 1 = 5
A bag contains the following marbles: 10 black marbles, 6 blue marbles, 14 brown marbles, and 18 green marbles. What is the ratio of green marbles to black marbles? Express your ratio as a fraction or with a colon.
Answer:
18:6 or 3:1
Step-by-step explanation:
Given f(x)=3x-4 and g(x)=-2x+7 evaluate
Step-by-step explanation:
e...
First;
g(5)=-2×5+7=-3
then
f(g(5))=3×-3-4=-9-4=-13
f...
g(2)=-2×2+7=3
now
g(g(2))=-2×3+7=1
I am super confused about my stats homework. Every time I get the question wrong, it gives me a new set of numbers. Help!
hey, could anyone solve this please?
it's driving me crazy.
Answer:
i think the answer is 17, but idontknow.
Step-by-step explanation:
:) sorry!!
Use this table to help answer the question. What would be the best description of the johns times rounded to quarter hours (15 minutes)
A) 8:45am - 5:00pm
B) 8:45am - 5:15pm
C) 8:30am - 5:15pm
D) 8:30am - 5:00pm
a plant measures 0.5 in. at the end of week 1 and 14 in. at the end of week 5
Answer:
it is 67.5 inches at the end of week 5
Step-by-step explanation:
the total is 13.5 inches in one week because it started at 0.5 inches then you add 13.5+13.5+13.5+13.5+13.5=67.5
Which statement correctly describes the relationship between the graph of f(x) and the graph ofg(x)=f(x)−1 ?
The graph ofg(x)is the graph of f(x) translated 1 unit up.
The graph ofg(x)is the graph of f(x) translated 1 unit right.
The graph ofg(x)is the graph of f(x) translated 1 unit down.
The graph of g(x)is the graph of f(x) translated 1 unit left.
Answer:
C. The graph of g(x) is the graph of f(x) translated 1 unit down.Step-by-step explanation:
The relationship is the vertical shift of f(x) 1 unit down.
Correct choice is C
Answer:
The graph of g(x)is the graph of f(x) translated 1 unit down.
Step-by-step explanation:
y' = y - 1
Ethan is cutting a 36-inch sub into slices that are
2- inches thick. How many slices will he cut?
Answer:
He can cut 18 slices!
Step-by-step explanation:
Answer:
18
Step-by-step
ive learned this before
Y-(-3y) create an equivalent equation
9514 1404 393
Answer:
4y
Step-by-step explanation:
There are an infinite number of equivalent expressions. One of them can be obtained by combining the terms
y -(-3y) = y +3y = y(1 +3) = 4y
__
All of the expressions shown as equal are equivalent.
i will give brainliest to the right answers
please help
Answer:
first answer = 2
second answer = 12
third answer = - 12
fourth answer = 2