Answer:
a)
\begin{gathered} {5}^{2} = 25 \\ {6}^{2} = 36 \\ {7}^{2} = 49\end{gathered}
5
2
=25
6
2
=36
7
2
=49
Therefore:
25, 36 and 49
Rewrite 2/5 : 1/15 as a unit rate
6.1
Answer:
Step-by-step explanation:
\(\frac{2}{5} : \frac{1}{15}\\\)
LCM of the denominator = LCM ( 5 , 15 ) = 15
∴ Now we have to multiply LCM by both the fractions , we get ,
\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)
Im need help on this question
Find the value of 'x
Answer:
x = 16
Step-by-step explanation:
The sum of the angles of a triangle are 180
128+ 2x-3 +23 = 180
Combine like terms
2x+148=180
Subtract 148 from each side
2x+148 -148 = 180-148
2x = 32
Divide by 2
2x/2 = 32/2
x =16
The unshaded regions are quarter circles. Which choice best approximates the area of the shaded region? Use ≈3.14.
Answer:
123.6cm^2
Step-by-step explanation:
24^2=576
area of all four quarter circles combined: 144pi
576-122pi
Help !!
centimeters and millimeters <3
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
Find out more on centimeters at https://brainly.com/question/22462126
#SPJ1
A company finds that if it charges x dollars for a cell phone, it can expect to sell 1000-2x phones
The x-intercepts of the situation means that the company generates no revenue when the cost is $0 and when the cost is $500
Interpreting the x-intercepts of the situation?From the question, we have the following parameters that can be used in our computation:
r(x) = x(1000 - 2x)
To calculate the x-intercepts of the situation, we set the function to 0
So, we have
x(1000 - 2x) = 0
This means that
x = 0 or 1000 - 2x = 0
When solved for x, we have
x = 0 or x = 500
This means that the company generates no revenue when the cost is $0 and when the cost is $500
Read more about functions at
https://brainly.com/question/27915724
#SPJ1
Question
A company finds that if it charges x dollars for a cell phone, it can expect to sell 1,000 - 2x phones. The company uses the function r defined by r(x) = x(1, 000 - 2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each.
What do the x-intercepts mean in the situation?
ten minutes later airplane 2 lands with a rate of descent of -97/8 feet per second. which airplane had the fastest rate during its landing?
Airplane 1 had the fastest rate of descent during its landing.
To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.
Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:
-130 ft/s × 60 s/min = -7800 ft/min
Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:
(-97/8) ft/s × 60 s/min = -729.375 ft/min
Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:
-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)
Therefore, Airplane 1 had the fastest rate of descent during its landing.
for such more question on rate
https://brainly.com/question/16981791
#SPJ11
if 9% of the air leaks out of brian bicycle tire everyday, what percent of the air will be left after 3 days. after a week. round your percent to 2 decimal places
Answer:
3 days = 75.36%1 week = 51.68%Step-by-step explanation:
You can use the future value formula to calculate this:
Future value = Amount * (1 + rate)^ no. of periods
As there is no given amount, simply calculate using (1 + rate)^ no. of periods.
After 3 days:
= (1 + (-9%))³
= 0.753571
= 75.36%
After a week:
Week = 7 days
= ( 1 + (-9%))⁷
= 0.51676
= 51.68%
Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it.
Answer:
proof below
Step-by-step explanation:
∠A ≅ ∠B
as ACB is a triangle
if ∠A ≅ ∠B then AC = BC
and CD ⊥ AB
so ∠CDA = ∠CDB = 90
now in ΔADC ---> ∠A + ∠CDA + ∠ACD = 180
lets assume ∠A = x = ∠B
x + 90 + ∠ACD = 180
∠ACD = 180 - 90 - x
∠ACD = 90 - x
now in ΔCDB ---> ∠B + ∠CDB + ∠BCD = 180
x + 90 + ∠BCD = 180
∠BCD = 180 - 90 - x
∠BCD = 90 - x
As ∠ACD = ∠BCD
CD bisects ∠ACB
Indirectly to proof:-
<ACD=<BCDLets see
In ∆ADC and ∆BDC
As CD bisects AB
AD=BDCD is common side<A=<B(Given)Hence by SSA congruency the triangles are equal
<ACD=<BCD( proved)
Which point would be a solution to the system of linear inequalities shown below?
The coordinates in the solution to the systems of inequalities is (12, 1)
Solving the systems of inequalitiesFrom the question, we have the following parameters that can be used in our computation:
y > -4x + 6
y > 1/3x - 7
Next, we plot the graph of the system of the inequalities
See attachment for the graph
From the graph, we have solution to the system to be the shaded region
The coordinates in the solution to the systems of inequalities graphically is (12, 1)
Read more about inequalities at
brainly.com/question/30977554
#SPJ1
Select all the correct answers.
What are the solutions to this equation?
5-√(x²-9) = 7
There are no solutions.
01
□ -√17
O√17
0 -1
The solution to the given system of equation is ±√13
Solving rational expressionRational equations are equation that are written inside square root. For instance y = √x is a rational expression.
Given the following expression shown;
5-√(x²-9) = 7
We are to determine the solutions of the equation
Subtract 5 from both sides
5-√(x²-9) - 5= 7 - 5
-√(x²-9) = 2
Multiply both sides by a negative sign.
√(x²-9) = -2
Square both sides
(x²-9) = 2^2
(x²-9) = 4
x² = 4 + 9
x = ±√13
Hence the solution to the given system of equation is ±√13
Learn more on radical equation here: https://brainly.com/question/8606917
#SPJ1
The functions f(x) and g(x) are graphed below.
Determine (f+g)(-4)=
Determine (f-g)(3)=
Determine (fg)(0)=
Determine (f/g) (2)=
The numeric values of each expression are given as follows:
(f + g)(-4) = 1.(f - g)(3) = -3.(fg)(0) = -2.(f/g)(0) = -2/3.How to obtain the numeric values of the function?At x = -4, the numeric values are given as follows:
f(-4) = 0, g(-4) = 1.
Hence the addition is given as follows:
f(-4) + g(-4) = 0 + 1 = 1.
At x = 3, the numeric values are given as follows:
f(3) = -1, g(3) = 2.
Hence the subtraction is given as follows:
f(3) - g(3) = -1 - 2 = -3.
At x = 0, the numeric values are given as follows:
f(0) = 2, g(0) = -1.
Hence the product is given as follows:
(fg)(0) = f(0) x g(0) = 2 x -1 = -2.
At x = 2, the numeric values are given as follows:
f(2) = -2, g(2) = 3.
Hence the quotient is given as follows:
(f/g)(0) = f(0)/g(0) = -2/3.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
Find out more on fractions here: https://brainly.com/question/78672
#SPJ1
Evaluate mathhematics
The solutions to solving the algebraic expressions are;
1) 65
2) 16.3
3) 16
4) 35
5) t
6) 26
7) 4 + 6 + 3 = 7 + 6
8) (r + s) + (t + u) = (u + r) + (t + s)
9) 35 + (11 + 8) > (8 + 30) + 11
10) 6 + h + 20 < 21 + 6 + h
How to solve basic Algebra operations?1) 15 + (34 + 16)
Solve the bracket first to get;
= 15 + 50
= 65
2) 16.3 + 0 = 16.3
3) m + (m + 12) given m = 2
2 + (2 + 12)
= 2 + 14
= 16
4) 19 + 12 + 4
= 31 + 4
= 35
5) t + 0 = t
6) f + 6 + 12 given f = 8
Substitute 8 for f to get;
8 + 6 + 12
= 26
7) 4 + 6 + 3 ? 7 + 6
Left hand side = 13
Right hand side adds up to 13
Thus, the equality sign is;
4 + 6 + 3 = 7 + 6
8) (r + s) + (t + u) ? (u + r) + (t + s)
By careful inspection both sides are equal as opening the bracket doesn't affect addition. Thus;
(r + s) + (t + u) = (u + r) + (t + s)
9) 35 + (11 + 8) ? (8 + 30) + 11
The left hand side is greater than the right hand side and as such;
35 + (11 + 8) > (8 + 30) + 11
10) 6 + h + 20 ? 21 + 6 + h
The right hand side is greater than the left hand side and as such;
6 + h + 20 < 21 + 6 + h
Read more about Algebra operations at; https://brainly.com/question/4344214
#SPJ1
10. In this university, among all students, 15% are senior, 25% are junior, 25% are sophomore, and so 35% are freshmen. Among senior, 40% have scholarship; among junior, 30% have scholarship; among sophomore, 20% have scholarship, and among freshmen, 10% have scholarship. Among those have scholoarship, what is the percentage of studens who are senior
Answer:
27.27% of the students with scolarship are seniors.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has scolarship
Event B: Is a senior
15% are senior, and of those, 40% have scolarship. So
\(P(A \cap B) = 0.15*0.4 = 0.06\)
Probability of a scolarship:
15% of 40%(seniors)
30% of 25%(juniors)
20% of 25%(sophmores).
10% of 35%(freshmen). So
\(P(A) = 0.15*0.4 + 0.3*0.25 + 0.2*0.25 + 0.1*0.35 = 0.22\)
Percentage:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.22} = 0.2727\)
0.2727*100 = 27.27%
27.27% of the students with scolarship are seniors.
Phillip writes the following equation to show how many hours h he needs to work to earn $108 at $12 per hour: h12=108. Is his equation correct? Explain.
Answer:
Yes
Step-by-step explanation:
He is correct because h which is how many hours he needs to work times $12 will give you $108 which is the total cost.
on the last 5 quizzes, marco has earned a total of 21 out of 25 possible points. if he has a perfect score on the next several quizzes, exactly how many points will he need to bring up his average up to 90%
Using the mean concept, it is found that we will need 15 more points to bring up his average up to 90%.
The mean of a data-set is the sum of all observations divided by the number of observations.
In this problem:
In the first 5 observations, total of 21 out of 25 points, hence the mean for these observations is \(\frac{21}{25} = 0.84\).In the next n observations, mean of 1.Hence, the mean is:
\(M = \frac{0.84(5) + n}{5 + n} = \frac{4.2 + n}{5 + n}\)
We want the mean to be of 0.9, thus:
\(M = 0.9\)
\(\frac{4.2 + n}{5 + n} = 0.9\)
\(4.2 + n = 0.9n + 4.5\)
\(0.1n = 0.3\)
\(n = \frac{0.3}{0.1}\)
\(n = 3\)
3 more testes are need, each worth 5 points, hence, 15 more points are needed to bring up his average up to 90%.
A similar problem is given at https://brainly.com/question/25323941
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
Find the value of each.
4 boxes of pasta at $1.25 each
Answer:
The total of all the boxes would be $5.00.
A bag contains 250 cubes that are black, yellow and white. A student randomly selects a cube without looking and replaces it in the bag. If the student selected 15 black cubes, 6 yellow cubes and 4 white cubes, which of the options below show a reasonable estimate for the total number of each color cube in the bag? Select all that apply. A) 40 white cubes B) 120 yellow cubes C) 150 black cubes D) 80 white cubes E) 60 yellow cubes
Answer: It's possible that A, C, and D are the correct answers.
Step-by-step explanation:
40+60=100
100+150=250
it's tooooo easy who wants brain list
Answer:
1) Isosceles
2) Acute
3) Right angled
4( Obtuse
5) Equilateral
what is an equation of the line that is parallel to y=-5+6 and passes through the poing (-4,-1)
Answer:
y=5x+19
Step-by-step explanation:
y+1=-5(x+4)
y+1=-5x-20
Subtract 1 (like terms)
y=-5x-21
Which of the following is a factor of 24x^6 - 1029y^3?
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
Factors of Polynomials:When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.
When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.
Here we have
24x⁶ - 1029y³
Take 3 as common
=> 3(8x⁶ - 343y³)
As we know 8 = 2³ and 343 = 7³
=> 3[(2x²)³ - (7y)³]
From the algebraic identities
a³-b³ = (a-b)(a²+ab+b²)Take a = 2x² , b = 7y and apply above formula
=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]
=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]
Therefore,
(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)
Therefore,
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
Learn more about Factors of Polynomials at
https://brainly.com/question/28315959
#SPJ9
What is the sin of 52 radians
Answer:
sin of 52 radians = 0.98662759204
Step-by-step explanation:
Answer: 0.98
Step-by-step explanation:
Approximately 1, you shouldn't have to answer 0.988 etc on the test.
A tree is 4 m 25 cm high! A pole is 70 cm shorter. How high is the pole?
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{3955cm}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{Tree = 4m and 25cm, Pole = 70cm shorter}\)
Find: \(\textsf{The height of the pole}\)
Solution: The first step that we must take is to convert the tree height to centimeters and after doing so we would just subtract 70 cm from that to get the pole height.
Convert to cm
\(\textsf{m = 1000cm}\)\(\textsf{4m = (1000cm * 4)}\)\(\textsf{4m = 4000cm}\)Combine
\(\textsf{4000cm + 25cm}\)\(\textsf{4025cm}\)Subtract 70 from the tree height
\(\textsf{4025cm - 70cm}\)\(\textsf{3955cm}\)Using the information from the problem the height of the pole would be 3955cm.
Which of the following statements are true? Select all that apply.
HELP PLEASE!
d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (3, 2) and point (5, 4) rounded to nearest 10th
Identify the intercepts of the line: 6x -3y = 24
Consider that the intercept form of the equation of a line whose x-intercept is 'a' and y-intercept is 'b', is given by,
\(\frac{x}{a}+\frac{y}{b}=1\)The given equation of the line is,
\(6x-3y=24\)Transpose the terms to convert the equation in intercept form,
\(\begin{gathered} \frac{1}{24}\cdot(6x-3y)=1 \\ \frac{6x}{24}-\frac{3y}{24}=1 \\ \frac{6x}{6\cdot4}-\frac{3y}{3\cdot8}=1 \\ \frac{x}{4}-\frac{y}{8}=1 \\ \frac{x}{4}+\frac{y}{(-8)}=1 \end{gathered}\)Comparing with the standard form,
\(\begin{gathered} a=4 \\ b=-8 \end{gathered}\)Thus, the x-intercept and y-intercept of the line, respectively, are
\(4,-8\)Johann uses 42 +7 to represent the number of players who are on teams.Explain what 42÷7 means. Enter a number in each box.
Johann uses 42 +7 to represent the number of players who are on teams.
Explain what 42÷7 means.
_______________________________
42 +7 = the number of players who are on teams
42 = he number of players who are on teams minus 7
42 players
________________________
Dividing by 7 (the number of player per group)
Each team has 7 players
_____________
Given m||n, find the value of (x+12) 4x-7)°
9514 1404 393
Answer:
x = 35
Step-by-step explanation:
The marked consecutive interior angles are supplementary:
(x +12)° +(4x -7)° = 180°
5x +5 = 180 . . . . . collect terms, divide by °
x + 1 = 36 . . . . . . . divide by 5
x = 35 . . . . . . . . . . subtract 1