Answer:
a = ⅑
b = 5
c = -9
Step-by-step explanation:
\( -9 + \frac{x^2}{9} + 5x \)
Rewriting, we would have:
\( \frac{x^2}{9} + 5x - 9 \)
If \( \frac{x^2}{9} + 5x - 9 \) is in the form of ax² + bc + c, therefore:
a = ⅑
b = 5
c = -9
Mina has 462 flowers if she wants to put nine flowers in each phase how many for vases will she have how many flowers will she have left over
A4cm x 6 cm rectangle sits inside a circle with radius of 11 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
4 cm
11 cm
6 cm
Answer:
355.94 cm squared
Step-by-step explanation:
Area of rectangle = 4 cm * 6 cm = 24 square cm
Radius (r) of circle = 11 cm
\(Area \: of \: circle = \pi {r}^{2} \\ \\ = 3.14 \times (11)^{2} \\ \\ = 3.14 \times 121 \\ \\ = 379.94 \: {cm}^{2} \\ \\ area \: of \: shaded \: region \\ \\ = 379.94 - 24 \\ \\ = 355.94 \: {cm}^{2} \\ \)
Answer: 355.94 cm squared
Step-by-step explanation:
= 3.14 x (11)²
= 3.14 x 121
= 379.94 - 24
= 355.94 centimeters squared
9. A has some amount of money with him. He gave one half of one third from that amount One half of the amount received by B is 20. What is the amount that A originally had?
Using the expression 5x/12 = 20, the amount that A originally had was $48.
We have,
Let x be the amount of money that A originally had.
Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.
The amount received by B is 1/2 of the remaining amount,
which is (x - x/6)/2 = 5x/12.
We know that 5x/12 = 20,
Solving for x.
5x/12 = 20
5x = 240
x = 48
Therefore,
The amount that A originally had was $48.
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An architect’s blueprint for a new house shows the kitchen being 7 inches wide. If the scale used to create the blueprint is 0.5 in. = 1 ft, what is the actual width of the kitchen?
Sally makes dream catchers as a hobby and wants to sell them at craft shows. She knows that the fixed costs are $70 and the cost to produce each dream catcher is $2.90. Write an equation for the total cost (in dollars), C, of producing x number of dream catchers
Answer:
C= 2.90x+ 70
this is the answer
Answer:
70 + 2.90c = X
Step-by-step explanation:
The fixed cost is 70 dollars which means that value stays the same. If each dream catcher costs $2.90, we can write that as 2.90c. This leads to the equation 70 + 2.90c = X
ILL GIVE BRAINLIEST!! 1/6 of a ton of hay costs 4/5 of an eagle. How many eagles does 2/3 of a ton of hay cost?
Answer: Find out how many eagles per ton hay costs:
(4/5 eagle)/ 1/6 ton = 6/1 * 4/5 = 24/5 = 4.8 eagles per ton
THEN 2/3 ton would cost:
2/3 ton * 24/5 eagles/ton = (24*2) /(5*3) = 48/15 = 16/5 = 3.2 eagles
Step-by-step explanation:
Suppose you have a jar with 380 marbles that are either red or green. You want to estimate how may marbles in the jar are red without counting all of them. You take four random samples of 16 marbles. After each sample, the marbles are returned to the jar. Choose the best conclusion you can make.
Simply count the number of red marbles in each sample and divide by the total number of marbles in the sample (16). Then, take the average of those proportions to estimate the proportion of red marbles in the jar as a whole
Based on the information provided, the best conclusion we can make is an estimate of the proportion of red marbles in the jar. We can use the four random samples of 16 marbles to calculate the proportion of red marbles in each sample, and then take the average of those proportions to estimate the overall proportion of red marbles in the jar.
It's important to note that this estimate may not be perfectly accurate, since the samples are small and may not perfectly represent the entire jar. However, it's a useful way to get an idea of how many red marbles are in the jar without having to count all of them.
To calculate the proportion of red marbles in each sample
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HELPPPPP MEEE PLEASESESESESESESES
1. Write an equation that represents the table.
Answer:
x=y-16
x=1 then y=44
x=2 y=28
x=3 y=12
x=3 y=-4
x=5 y=-20
HELPP
You want to enclose a rectangular region with an area of
1200 square feet and a length of 40 feet, 50 feet, or 60 feet.
Find the perimeter for each possible region. Explain why
you might rewrite the area formula to find the solutions.
The possible perimeters are 140 feet, 148 feet and 160 feet.
In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.
What are the possible perimeters?A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.
Area of a rectangle = length x width
Width = area / length
1200 / 40 = 30 feet
1200 / 50 = 24 feet
1200 / 60 = 20 feet
Perimeter of a rectangle = 2 x (length + width)
Perimeter when width is 30 feet : 2(40 + 30) = 140 feet
Perimeter when width is 24 feet : 2(24 + 50) = 148 feet
Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet
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-| 5 - 17| + (-2)^5 - 1
show work
Answer:the answer is 5 and a half (1/2)
Step-by-step explanation: I dont know how to explain this so sorry..
I Need Help please!!
Slope of one of the dotted lines:
Slope of the line of reflection:
Answer:
see explanation
Step-by-step explanation:
calculate slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
consider the middle dotted line
with
(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line
m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1
consider the line of reflection ( the solid line )
with
(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line
m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1
A signal can be formed by running different colored flags up up a pole, one above the other. Find the number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags
The total number of different signals consisting of flags is 216
Given data ,
The number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags can be calculated using combinatorial principles.
There are 3 choices for the top flag (white, red, or blue), 2 choices for the second flag (since we've already used one color for the top flag), and 1 choice for the third flag.
Similarly, there are 3 choices for the fourth flag, 2 choices for the fifth flag, and 1 choice for the sixth flag. Finally, there are 3 choices for the seventh flag, 2 choices for the eighth flag, and 1 choice for the ninth flag.
Using the multiplication principle, we can multiply the number of choices at each step to get the total number of different signals:
3 × 2 × 1 × 3 × 2 × 1 × 3 × 2 × 1 = 3! × 3! × 3!
where "!" represents the factorial operation, which is the product of all positive integers up to a given number.
So, the total number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags is:
3! × 3! × 3! = 6 × 6 × 6 = 216
Hence , the number of signals is 216
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PLEASE HELP ON QUESTION ASAP !
Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.
My question:
As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?
The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:
Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.
Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.
People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.
The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.
Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
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What is the measure of Arc BA? An explanation would be much appreciated.
Answer:
m<BA = 180degrees
Step-by-step explanation:
First you must know that measure of <BA is 180 degrees and m<CD = m<BA
Since <CD = 16z - 12, hence;
180 = 16z - 12
16z = 180++12
16z = 192
z = 192/16
z = 12
Get <BA
m<BA = 16z - 12
m<BA = 16(12) - 12
m<BA = 192 - 12
m<BA = 180degrees
The value of a 4 in the one thousands place is what FRACTION of the value of a 4 in the ten thousands place?
Answer:
1/10 = 0.1
Step-by-step explanation:
The value of a 4 in the one thousands place = 4000
the value of a 4 in the ten thousands
= 40000
In fraction,The value of a 4 in the one thousands place to the value of a 4 in the ten thousands place
= 4000/40000
= 4/40
= 1/10
= 0.1
What is the measure of this angle?
60
80
120
125
Answer:
60
Step-by-step explanation:
180 - 120 = 60
I need step by step explanation i this question.
The ratio of football to total equipment is 3/ 7
What is ratio?Ratio can be defined as the comparison of two or more numbers with their sizes in relation to each other.
It explains how many times one number contains another.
From the diagram shown, we have:
6 footballs2 handballs3 pairs of shoesRatio of football to total equipment is;
= 6/ 6 + 2 + 6
= 6/ 14
Find common divisor
= 3/ 7
Thus, the ratio of football to total equipment is 3/ 7
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Find the missing angles
Answer:
y=55
x=70
Step-by-step explanation:
How many diagonals does a 12-sided convex polygon have? What is the general
rule for a convex polygon with n sides?
Answer:
goodluck!
Step-by-step explanation:
well is 12 sided and has digonal so
Answer:
54
Step-by-step explanation:
No of diagonals in a n sided polygon
\(= \frac{n(n-3)}{2} \)
Therefore,
No of diagonals in a 12 sided polygon
\(= \frac{12(12-3)}{2} \)
\(= 6\times 9\)
\(= 54\)
Cuántas veces cabe el 14 en el 2940
Answer:
210
Step-by-step explanation:
Are figures A and B congruent?
Figure A
Figure B
Yes or no
Answer: No
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
They don't have the same size.
Welp this question is eating my brain
Hello!
--------------------------------------------------------------------------------------------------------
(a) y = 36° and x = 36°
DAB = 90°
so y = 90° - 54° = 36°
---------------------------------
AB // DC
so x and y are alternate-internal
so x = y = 36°
--------------------------------------------------------------------------------------------------------
(b) y = 73° and x = 68°
SPQ = 90°
so yPQ = 90° - 51° = 39°
the sum of the angles of the triangle PQR = 180°
so y = 180° - (39° + 68°) = 73°
---------------------------------
PSy = 90°
the sum of the angles of the triangle PSy = 180°
so PyS = 180° - (51° + 90°) = 39°
SyxR is a flat angle = 180°
so x = 180° - (39° + 73°) = 68°
--------------------------------------------------------------------------------------------------------
(c) y = 36° and x = 54°
The center of the triangle is K.
So the triangles NKO, MKP, MNK, POK are isosceles
NKO = MKP and MNK = POK
MKP and NKO are opposed
so MKP = NKO = 72°
K is a full angle = 360°
so MKN and PKO = 360° - (72° + 72°) = 216°
so MKN = PKO = 216°/2 = 108°
PMN = y so because MKN is isoscel.
so we know x + y = 90° because PMN = 90°
and so we know PON = OPM = y
and so we know KNO = KON = x
the sum of the angles of the triangle KNO = 180°
so KNO and KON = 180° - 72° = 108°
so x = 108°/2 = 54°
---------------------------------
the sum of the angles of the triangle MKN = 180°
so KMN and KNM = 180° - 108° = 72°
so y = 72°/2 = 36°
--------------------------------------------------------------------------------------------------------
What is the domain of the following function?
The domain of the function or relation is {6, 9, -4 and 2}
How to determine the domain of the function?The function is represented by the set of relation or ordered pairs
The ordered pairs in the relation are:
(x, y) = (6, -3), (9, -3), (-4, 1) and (2, 1)
Remove the y values in the above domain
x = 6, 9, -4 and 2
The x values represent the domain of the function
Hence, the domain of the function or relation is {6, 9, -4 and 2}
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HELP IM GIVING BRAINLIEST
An airplane descends during the last hour of it's flight to prepare for landing. It's altitude changes at an average of -0.15 km per minute for those 60 minutes. Write an expression to represent the total change in the airplane's elevation. ( plz answer, will give brainliest )
Answer:
-.15 km/ minute * 60 minutes
-9 km
Step-by-step explanation:
The rate is -.15 km per minute
We have 60 minutes
distance = rate times time
change in elevation is the same as the distance change
change in elevation = -.15 km/ minute * 60
change in elevation =-9 km
Answer:
(0.15 km/min) * (60 min)
Step-by-step explanation:
We see that the plane descends 0.15 kilometres every minute over the span of 60 minutes.
Use the distance-rate-time formula: d = rt, where d is the distance, r is the rate, and t is the time.
Here, our rate is r = 0.15 km/min and our time is t = 60 minutes. Then the total change in elevation is:
d = rt
d = 0.15 * 60 = 9 km
Note that we disregard the negative sign from -0.15 km/min because the question is asking for the change in elevation. Change is never a negative value.
Hence, the expression will be: 0.15 * 60, which simplifies to 9 km.
~ an aesthetics lover
he entire graph of the function is shown in the figure below.
Write the domain and range of using interval notation.
Someone please help me. I really nee help. this question is due tonight before 8 and im stuck.
The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].
The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).
In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.
So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.
In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].
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What is the exact situation
Ryan counts 505,515, 525, 535, 545, 555. By which number does Ryan skip count?
A group consists of five men and five women. Four people are selected to attend a conference,
a. In how many ways can four people be selected from this group of ten?
b. In how many ways can four women be selected from the five women?
c. Find the probability that the selected group will consist of all women.
a. The number of ways to select four people from the group of ten is
b. The number of ways to select four women from the group of five women is 0.
c. The probability is
(Type an integer or a simplified fraction.)
An album has 15 songs. You make a playlist by randomly shuffling the order of the songs. Which values represent the probability that the first 3 songs in the playlist are the first 3 songs on the album in any order?
This probability is approximately equal to \(1.07 * 10^-10.\)
The total number of possible ways to arrange the 15 songs is 15!, which is a very large number. To find the probability that the first 3 songs in the playlist are the first 3 songs on the album in any order, we need to find the number of ways to arrange the first 3 songs on the album and divide it by the total number of possible arrangements.
Since the first 3 songs can be arranged in any order, we can use the permutation formula to find the number of ways:
P(3,3) = 3!
P(3,3) = 6
So there are 6 ways to arrange the first 3 songs on the album.
The total number of possible arrangements of all 15 songs is 15!, as mentioned earlier.
Therefore, the probability that the first 3 songs in the playlist are the first 3 songs on the album in any order is:
6 / 15!
This probability is a very small number, approximately equal to \(1.07 * 10^-10.\)
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