Answer:
[tex]A(x) = 2x^2-22x+144[/tex]
Step-by-step explanation:
We are given the following in the question:
Area of room =
[tex]3x^2 + 2x[/tex]
Area of rug =
[tex]x^2 + 24x - 144[/tex]
We have to find the area of of the room not covered by the rug.
Area of of the room not covered by the rug =
Area of room - Area of rug
[tex]A(x)=(3x^2 + 2x) - ( x^2 + 24x - 144)\\A(x)=3x^2 + 2x-x^2 -24x + 144\\A(x)=(3x^2-x^2)+(2x -24x) + 144\\A(x)=2x^2-22x+144[/tex]
is the required expression for the area of floor not covered by the rug.
Select the equivalent expression
what is 527.79 rounded to the nearest thousandth?
I looked it up and it said it was just 527.79, but when i put my answer in it said it was wrong so im really confused.
527.79
there is no because just round and try this I think it might work i dont know
What is the graph to the piecewise defined function g(x) = { x+4, -5<=x<=-1
2-x, -1<=x<=5?
Answer:
third graph, see attached in case the order changes
Step-by-step explanation:
g(x) = { x+4, -5<=x<=-1
2-x, -1<=x<=5
The graph will change at -1, so we can eliminate the first graph
It changes completely so we can eliminate the second graph
From -5 to -1 the slope is positive 1 so it will increase from left to right
The last graph decreases, so it has a negative slope at -5. We can eliminate the last graph
That leaves us the third graph
g(x) = x+4, -5《x《-1
At x = -5, g(x) = -1
At x = -1, g(x) = 3
g(x) = 2-x, -1《x《5
At x = -1, g(x) = 3
At x = 5, g(x) = -3
Each letter of the word PROBABILITY is written on an individual card, each of which
is the same size, and all are put in a bag. A card is drawn without looking. A card is
drawn without looking. Find P(Letter A or Vowel)
Mutually Exclusive Event
O Inclusive Event
Independent Event
Dependent Event
Answer:
Independent event
Step-by-step explanation:
In ΔFGH, the measure of ∠H=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of ∠F?
Answer:
9/41
Step-by-step explanation:
Cosine = adjacent/hypotenuse
The value of the ratio which represents the cosine of ∠G is, cos G = 40/41
We have to give that;
In ΔFGH, the measure of ∠H=90°, HG = 56, FH = 33, and GF = 65.
Now, By the formula;
⇒ cos θ = Base / Hypotenuse
Hence, We get;
⇒ cos G = GH / GF
⇒ cos G = 40/41
Therefore, the value of ratio which represents the cosine of ∠G is,
⇒ cos G = 40/41
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Please match the answer to the question.
Question 3 options:
-5
-8
+4
+5
+8
1.
profit of $5
2.
depth of 8ft
3.
increase of 8 degrees F
4.
loss of $5
5.
height of 4ft
Answer:
see below
Step-by-step explanation:
1. profit of 5 means a gain of 5 +5
2 depth of 8ft means down 8 -8
3 increase of 8 degrees means a gain of 8 +8
4 loss of 5 dollars means negative -5
5 height of 4 ft means we go up +4
What is the product of 3x(x2 + 4)?
O x² + 3x +4
O 3x3 + 4
O 3x3 + 12x
3x² + 12x
Answer:
3x³ + 12x
Step-by-step explanation:
Given
3x(x² + 4) ← multiply each term in the parenthesis by 3x
= 3x³ + 12x
Answer:
3x^3 +12x
Step-by-step explanation:
3x^3 +12x
The measurement of one angle of a right triangle is 43° what is the measurement of the third angle
Explain how to add fractions with the same denominator. Use
3/8 + 2/8 as an example. Use the words numerator and
denominator in your response.
Step-by-step explanation:
To add fractions with the same demonator for example 3/8 + 2/8 you would add 3 +2 = 5 The numerator would be 5 and the demonator would stay the same. You would get an answer of 5/8
Answer:
Step-by-step explanation:
[tex]\frac{3}{8}+\frac{2}{8}=\frac{3+2}{8}\\\\=\frac{5}{8}[/tex]
If two fractions have same denominator, add the numerator and write the common denominator.
HELP HElp help HELp HElp please fast give 10 points
Answer:
y = 2x + 3
Step-by-step explanation:
its quizzizz you need fast
What is the exact solution to the system of equation shown on the graph?
The exact solution of the equation graphed is i option D
(-1 1/5, 4 5/6)
How to find the solution
The solution of linear equations grapes is the point of intersection of the two straight lines
This point is traced as follows
x coordinate is closer to -1 than it is to 2. Not up to -1 1/2y - coordinate is closer to 5. more than 4.5Comparing with the given options, we have (-1 1/5, 4 5/6) as the best choice
Does the function model exponential growth or decay? h(t)=0.25\cdot 1.5^th(t)=0.25⋅1.5 t
Answer
Answer:
growth
Step-by-step explanation:
srry im late
Three students take equivalent stress tests. Which is the highest relative score (meaning which
has the largest z score value)?
a. A score of 144 on a test with a mean of 128 and a standard deviation of 34
b. A score of 90 on a test with a mean of 86 and a standard deviation of 18
c. A score of 18 on a test with a mean of 15 and a standard deviation of 5
B is the correct answer with the explanation of a score of 90 on a test with a mean of 86 and a standard deviation of 18.
The highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5
What is z-score?Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values.
Given that, three students take equivalent stress tests, we need to calculate the highest relative score among them,
Z-score = X-μ / σ,
X = observed value, μ = mean and σ = standard deviation
a) A score of 144 on a test with a mean of 128 and a standard deviation of 34 :-
Z-score = X-μ / σ
Z-score = 144-128 / 34 = 0.47
b) A score of 90 on a test with a mean of 86 and a standard deviation of 18 :-
Z-score = X-μ / σ
Z-score = 90-86 / 18 = 0.22
c) A score of 18 on a test with a mean of 15 and a standard deviation of 5 :-
Z-score = X-μ / σ
Z-score = 18-15 / 5 = 0.6
Hence, the highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5
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e price of an item yesterday was 130. Today, the price rose to 221. Find the percentage increase
Answer:
70
Step-by-step explanation:
The explanation is in the picture
please rate and mark as brainliest
Solve for j . −1/3=/j4−10/3
Answer:
j = 12
Step-by-step explanation:
Solve for j by simplifying both sides of the equation, then isolating the variable.
From a standard deck of 52 cards, what is the probability of picking a 6 at random from the deck?
Answer:
Only 4 out of 52 cards are 6.
4/52 = 1/13
Probability is 4/13
Answer:
4/52 or 1/13
Step-by-step explanation:
There are 4 of each card in a deck except for Jokers. Therefore, the answer is 4/52 or 1/13
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A large box contains buttons with pictures of animals.
There are four different animals. A button is drawn and replaced. In 100 trials, 35 buttons with cats were drawn.
What is the probability that the next button will be a different animal?
A.
The experimental probability is 35%.
B.
The experimental probability is 65%.
C.
The theoretical probability is 35%.
D.
The theoretical probability is 65%.
Answer: its B
Step-by-step explanation:
You have to subtract 100 and 35. You get 65. Its also a experimental probability.
In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?
(1)8
(2)2√7
(3)2√10
(4)4
The length of side c would be 8.
Step-by-step explanation:
Given that,
a = 4
b = 6
cosC = -1/4
If we are given two sides and angle, the law of Cosines can be used to find the third side:
[tex]c^{2} = a^{2} + b^{2} - 2ab (cos(c))[/tex]
By inserting the values in the formula, we get
[tex]c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )[/tex]
[tex]c^{2} = 16 + 36 + 12[/tex]
[tex]c^{2} = 64[/tex]
[tex]\sqrt{c^{2} } = \sqrt{64}[/tex]
c = 8.
Therefore, the length of side c would be 8.
The length of side [tex]\( c \)[/tex] is 8. The option (1) is correct.
To find the length of side [tex]\( c \)[/tex] in triangle ABC given [tex]\( a = 4 \), \( b = 6 \)[/tex], and [tex]\( \cos C = -\frac{1}{4} \),[/tex] we use the cosine rule:
[tex]\[ c^2 = a^2 + b^2 - 2ab \cos C \][/tex]
Substitute the given values:
[tex]\[ c^2 = 4^2 + 6^2 - 2 \cdot 4 \cdot 6 \cdot \left(-\frac{1}{4}\right) \][/tex]
[tex]\[ c^2 = 16 + 36 + 12 \][/tex]
[tex]\[ c^2 = 64 \][/tex]
Now, take the square root of both sides to find [tex]\( c \):[/tex]
[tex]\[ c = \sqrt{64} \][/tex]
[tex]\[ c = 8 \][/tex]
Therefore, the length of side [tex]\( c \)[/tex] is 8.
During a solo competition for playing the flute, Sandra was given the following scores by four of the five judges:
6, 8, 9, and 8. What score would the fifth judge need to give her so that her average score from the five judges
was 8.0?
Answer: she needs a 9 from the fifth judge
Step-by-step explanation: so you have 5 judges and to get a perfect score you need 8. when you multiply the amount of judges by the score of 8 you get 40 witch is 100%, and when you add 6+8+9+8 you get 31 so there is 9 missing to get 40 so the answer is 9.
Consider U = {x\x is a positive integer greater than 1}.
Which is an empty set?
{xx € U and 2x is prime}
{xlx EU and 2x is prime}
{XX € U and 1/2x can be written as a fraction}
{x|x € U and 2x can be written as a fraction}
Considering U = {x l x is a positive integer greater than 1} the empty set will be,
⇒ { X ∈ U and 2x is prime}
What are prime numbers?Prime numbers refers to a whole number more than 1 whose only factors are 1 and itself.
Now, A whole number that may be split evenly into another number by multiplication is referred to as a factor.
2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers.
Here, The number 2 is the only prime even number and hence no other prime number will be fall as an even number or a product from multiplication by 2.
Hence, Considering U = {x l x is a positive integer greater than 1} the empty set will be,
⇒ { X ∈ U and 2x is prime}
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4c = 3 C =
please help me I am late for hw and ned this question done asap
Answer:
4c=4 c=3/4
Step-by-step explanation:
True or false: opposite angles of a square are supplementary angles
Answer:
True
Step-by-step explanation:
Supplementary angles are those that sum up to 180 degrees. A square is a polygon with all its angles measuring 90 degrees. This means that opposite angles are both 90 degrees. And, since 90 + 90 = 180, that means that a square's opposite angles are supplementary.
Hope this helps!
Answer:
True
Step-by-step explanation:
Supplementary angles add up to 180
All angles in a square are 90.
Opposite angles add up to 180°
EE
Solve the system of equations.
y= 2x + 4
y = x2 + x - 2
A. (-2, 0) and (3, 10)
B. (2,0) and (-3,-10)
C. (-3,-10) and (-2,0)
D. (-3, 10) and (2,0)
Answer:
A
Step-by-step explanation:
Given the 2 equations
y = 2x + 4 → (1)
y = x² + x - 2 → (2)
Substitute y = x² + x - 2 into (1)
x² + x - 2 = 2x + 4 ( subtract 2x + 4 from both sides )
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = 3 : y = 2(3) + 4 = 6 + 4 = 10 ⇒ (3, 10 )
x = - 2 : y = 2(- 2) + 4 = - 4 + 4 = 0 ⇒ (- 2, 0 )
There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85
Answer:
There are 6 dimes and 9 quarters.
Step-by-step explanation:
Represent the number of dimes and the number of quarters by d and q.
Then d + q = 15, or q = 15 - d.
Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.
Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or
75 - 5d + 2d = 57, or
75 - 3d = 57, or
3d = 18. Thus, there are 6 dimes. Since q = 15 - d, q = 15 - 6 = 9.
There are 6 dimes and 9 quarters.
The number of dimes and quarters totaling $2.85 are 6 dimes and 9 quarters.
To solve this, we can set up two equations based on the number of coins and their total value.
Let's denote the number of dimes as d and the number of quarters as q. The value of a dime is $0.10, and the value of a quarter is $0.25. We know there are 15 coins in total, which gives us the first equation:
d + q = 15
The second equation is based on the total value of the coins:
0.10d + 0.25q = 2.85
To solve the system of equations, we can use substitution or elimination. Multiplying the second equation by 10 gives us:
d + 2.5q = 28.5
Subtracting the first equation from this results in:
1.5q = 13.5
Dividing by 1.5 gives us the number of quarters:
q = 9
Substituting q = 9 into the first equation gives us the number of dimes:
d + 9 = 15
d = 6
Therefore, there are 6 dimes and 9 quarters in the cup.
How many solutions does the system have?
5x — y = 2
5x—y = -2
Answer: no solution
Step-by-step explanation:
When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)
The answer is C
Insert y=X-2 into the equation y=-X+2
You will get the point (2,0)
Insert y=2X-1 into the same equation
you will get the point (1,1).
Without solving for the last point
you will realize that your answer is C
Note: This approach is appropriate for solving objective questions
On the last day of April 2009, the price of a share of stock in a major entertainment corporation was $5.36. Over the next 4 years, the annual growth rate was 4.15%. The growth in the price of this stock can be modeled by the function where P represents the price, in dollars, and t represents the number of years since the last day in April 2009. Which function can be used to represent the price of a share of stock in this entertainment corporation on the last day in June 2011?
Answer:
Hence After 2 years from 2009 to 2011 THe price for share of stock will be 5.8141 $
Step-by-step explanation:
Given:
Initial price=$5.36
Rate=4.15 %
To Find:
Function which represents the growth price for stock market?
Solution:
As the function is growing one and with same rate and depends upon the time period ,
So the exponential function as
[tex]P=A(1+R)^t[/tex] will the required function ,
So P will be price of stock at t time period with R as rate for function.
A be the previous year price
From 2009 to 2013 rate is 4.15 %
we have to find price after 2 years
So t=2 , A at 2009 =5.36$
So P at 2011 will be given by,
[tex]P=A(1+R)^t[/tex]
[tex]P=5.36(1+0.0415)^2[/tex]
[tex]P=5.36(1.0415)^2[/tex]
[tex]P=5.8141 $[/tex]
Which is the best estimate of the sum of the fractions 5/12+5/9
Answer:
0.926
Step-by-step explanation:
5/12 as a decimal is 0.416 and
5/9 as a decimal is 0.5 repeating
You just have to turn the fraction into a decimal and
add those together.
So your final equation would be 0.416+0.5
Answer:
35/36
Step-by-step explanation:
The least common denominator for both 12 and 9 is 36.
5 3 = 15
— X —
12 3 = 36
5 4 = 20
– X
9 4 = 36
15+20 = 35
so, 35/36
Hope this help, have a great day, and Stay Safe.
:)
Help??????????????????(
Step-by-step explanation:
Tn = n² - 3
Now
the first three terms
t1 = 1² - 3 = 1 - 3= -2
t2 = 2² - 3= 4 - 3 = 1
t3 = 3² - 3 = 9 - 3 = 6
----------------
The first three terms are -2 , 1 , 6
and
tenth term
t10= 10² - 3= 100-3 = 97
Hope it will help you :))
Answer:
-2, 1, 6 and the 10th is 97
Step-by-step explanation:
to find the terms, in a row, replace n with 1
nth = 1^2 -3 -2 is the answer (1^2) is 1 -3 = -2
then replace the n with 2, 3, 4 etc till you have your sequence
nth = 2^2 -3 1 is the answer (2^2) is 4 -3 = 1
nth = 3^2 -3 6 is the answer (3^2) is 9-3 = 6
nth = 4^2 -3 13 is the answer (4^2) is 16-3 = 13
nth = 5^2 -3 22 is the answer (5^2) is 25-3 = 22
etc to 10
nth = 10^2 -3 97 is the answer (10^2) is 100 - 3 = 97
sequence is -2, 1, 6, 13, 22, . . . . 97
M is the centroid of the triangle.
CM=7, PM=10, & BQ=18
BM=[? ]
Answer:
The length of the BM is 6 unit.
Step-by-step explanation:
Given : M is the centroid of the triangle. CM=7, PM=10, & BQ=18
To find : The value of BM ?
Solution :
Refer the attached figure below.
The centroid of a triangle is the point of intersection of its medians.
M is the centroid and the centroid divide the line in 1:2 ratio.
So, M divide BQ in 1:2 ratio and the total length of BQ is 18.
BM is one third of 18.
i.e. [tex]BM=\frac{18}{3}[/tex]
[tex]BM=6[/tex]
Therefore, the length of the BM is 6 unit.
Answer: BM=6
Step-by-step explanation: