Answer:
To determine the maximum height reached by the golf ball before it returns to the ground, we can analyze the given quadratic function:
y = -16x^2 + 80x
This quadratic function represents the height of the golf ball at time 'x' seconds. The maximum height occurs at the vertex of the quadratic equation, which can be found using the formula: x = -b / (2a).
For this function, a = -16 and b = 80. Substituting these values into the formula, we have:
x = -80 / (2 * -16)
x = -80 / -32
x = 2.5
To find the maximum height, substitute this value of 'x' back into the original equation:
y = -16(2.5)^2 + 80(2.5)
y = -16(6.25) + 200
y = -100 + 200
y = 100
Therefore, the golf ball reaches a height of 100 feet before it begins to return to the ground.
The correct answer is D. 100 ft.
Step-by-step explanation:
A rectangular prism has a length of 2.5 meters, a width of 4 meters, and a height of 2.25 meters.
What is the volume of the prism?
The volume of the rectangular prism is 22.5 cubic meters.
To find the volume of a rectangular prism, we multiply its length, width, and height together.
Given that the length is 2.5 meters, the width is 4 meters, and the height is 2.25 meters, we can calculate the volume.
Volume of the rectangular prism = Length [tex]\times[/tex] Width [tex]\times[/tex] Height
Volume = 2.5 meters [tex]\times[/tex] 4 meters [tex]\times[/tex] 2.25 meters
Simplifying the calculation:
Volume = 22.5 cubic meters.
Imagine a rectangular-shaped solid object with the following measurements:
Length: 2.5 meters
Width: 4 meters
Height: 2.25 meters
The length is the longer side of the rectangle, the width is the shorter side, and the height represents the vertical dimension.
The object has six faces: two rectangular faces with dimensions 2.5 meters by 4 meters, two rectangular faces with dimensions 2.5 meters by 2.25 meters, and two rectangular faces with dimensions 4 meters by 2.25 meters.
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Help please someone knows which one of these is the answer and what is the x y ?
1. The matrix has an infinite number of solutions
2. The list the unique solution is x, y, z is 0, 0, 0
How do we solve the matrix provided?To answer the question provided, we have to row reduce the given augmented matrix to its row echelon form.
Therefore, for the matrix
[1 1 -4 | 6;
-2 -1 6 | -10;
-5 -3 16 | -26]
Step 1: Add 2 times row 1 to row 2:
[1 1 -4 | 6;
0 1 -2 | 2;
-5 -3 16 | -26]
Add 5 times row 1 to row 3
[1 1 -4 | 6;
0 1 -2 | 2;
0 2 -4 | 4]
Subtract row 2 from row 1
[1 1 -2 | 4;
0 1 -2 | 2;
0 2 -4 | 4]
Subtract row 2 multiplies by 2 from row 3
[1 0 -2 | 4;
0 1 -2 | 2;
0 2 0 | 0]
Since the third row represents the equation 0x + 0y + 0z = 0, the system has an infinite number of solutions.
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BeeBright is a company that makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15cm . If the company uses, on average, of 67650cm^3 wax each hour making candles, how many candles does the company make, on average, each hour? For your calculations, do not round any intermediate steps, and use the button on a calculator. Round your answer to the nearest hundredth.
The number of candles that the company make on an average each hour is 38.
Given that,
BeeBright is a company that makes wax candles in the shape of a solid sphere.
Diameter of each candle = 15 cm
We have to find the volume of each candle.
Since the candles are in the shape of a solid sphere,
Volume of the candle = Volume of the sphere
= 4/3 π r³, where r is the radius of the candle.
Radius of candle = Diameter / 2 = 7.5 cm
Volume of a candle = 4/3 π (7.5)³
= 562.5π
= 1767.14586764 cm³
Number of candles make in an hour = Total wax used / Wax used for 1 candle
= 67650 cm³ / 1767.14586764 cm³
= 38.28
≈ 38 candles
Hence 38 candles are made on an average.
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which expression is equal to 1/3y
Answer:
1/6y + 1/6(y + 12) -2
Step-by-step explanation:
1/6y + 1/6(y + 12) - 2
1/6y + 1/6y +2 - 2
1/6y + 1/6y
2/6y
1/3y
Helping in the name of Jesus.
At a craft shop, a painter decided to paint a welcome sign to take home. An image of the sign is shown.
A five-sided figure with a flat top labeled 5 and one-half feet. A height labeled 4 feet. The length of the entire image is 9 ft. There is a point coming out of the right side of the image that is created by two line segments.
What is the area of the sign?
19 square feet
22 square feet
29 square feet
36 square feet
Answer 19
Step-by-step explanation:
i tried my best in bath but not sure still 5 and a half+9+4=19 but round it to 19
use the best answer. If necessary, use the paper you were given.
Question
A certain map has a scale in which inch on the map represents an actual distance of 10 miles. A distance of
x miles is represented by how many inches on this map?
0
10
O 5x
O 20x
3
D
31
2
A distance of x miles is represented by √10 inches on this map. The exact value of √10 is approximately 3.16 Option D.
To determine the number of inches on the map that represent a distance of x miles, we need to consider the given scale, which states that one inch on the map represents an actual distance of 10 miles.
If we set up a proportion using this information, we can solve for the unknown number of inches. The proportion would be:
1 inch (on the map) / 10 miles (actual distance) = x inches (on the map) / x miles (actual distance)
To simplify the proportion, we can cross-multiply:1 inch * x miles = 10 miles * x inches
This simplifies to:
x inches * x miles = 10 miles
Rearranging the equation, we get:
[tex]x^2 = 10[/tex]
To solve for x, we take the square root of both sides:
[tex]\sqrt{(x^2)} = \sqrt{10}[/tex]
Simplifying further, we have:
x = √10
Therefore, a distance of x miles is represented by √10 inches on this map. The exact value of √10 is approximately 3.16. Hence, the closest answer choice that corresponds to this is 3.
In summary, the number of inches on the map that represents a distance of x miles is approximately √10 inches, which is closest to 3 inches. So Option D is correct.
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5. The probabilities of winning a prize are shown. There
are 1000 tickets. What is the theoretical probability of
winning any prize?
First Prize
1 in 1000
Second Prize
1 in 100
Third Prize
1 in 10
The theoretical probability of winning any prize is 0.111.
What is the theoretical probability of winning any prize?The theoretical probability is calculated as follows:
Probability = number of favorable outcomes/total number of possible outcomes
The probabilities of winning each prize are given as:
First Prize: 1 in 1000 = 1/1000
Second Prize: 1 in 100 = 1/100
Third Prize: 1 in 10 = 1/10
The probability of winning any prize is the sum of the probabilities of winning each prize:
Probability of winning any prize = (1/1000) + (1/100) + (1/10)
Probability of winning any prize = 0.001 + 0.01 + 0.1
Probability of winning any prize = 0.111
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Help me this is time sensitive so please help
⭐️⭐️⭐️⭐️⭐️
The probability of rolling a total of 9 is 1/9.
The probability of rolling a total of 10 is 1/12.
The probability of rolling a total of 11 is 1/18.
We have,
To calculate the probabilities of rolling specific totals with a pair of dice, we need to consider all possible combinations of numbers on each die.
Probability of rolling a total of 9:
There are four combinations that can result in a total of 9: (3, 6), (4, 5), (5, 4), and (6, 3).
Since each die has six sides, there are 6 * 6 = 36 equally likely outcomes when rolling two dice.
The probability of rolling a total of 9 is 4/36, which can be simplified to 1/9.
Probability of rolling a total of 10:
There are three combinations that can result in a total of 10: (4, 6), (5, 5), and (6, 4).
The probability of rolling a total of 10 is 3/36, which can be simplified to 1/12.
Probability of rolling a total of 11:
There are two combinations that can result in a total of 11: (5, 6) and (6, 5).
The probability of rolling a total of 11 is 2/36, which can be simplified to 1/18.
Thus,
The probability of rolling a total of 9 is 1/9.
The probability of rolling a total of 10 is 1/12.
The probability of rolling a total of 11 is 1/18.
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Question 25 of 45
What is the range of the exponential function f(x) = 2*+25? Check all that
apply.
☐A. f(x) ≥ 2
B. f(x) > 25
C. (25,+00)
D. (2,+00)
SUBNA
The value of the range of the exponential function f(x) = 2ˣ + 25 is,
⇒ (25, ∞ )
We have to given that;
the exponential function is,
⇒ f(x) = 2ˣ + 25
Now, We can formulate;
The range of the function is,
⇒ y ∈ (25, +∞)
Hence, The value of the range of the exponential function f(x) = 2ˣ + 25 is,
⇒ (25, ∞ )
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How many different sums of money can be made from 4coins of different denomination
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sums
Select the correct answer.
Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
Answer:
68% of the data points lie between 10 and 18.
Step-by-step explanation:
one standard deviation to left of mean = 14 - 4 =10
one standard deviation to right of mean = 14 + 4 = 18
68% of data is in this region.
so the answer is 68% of the data points lie between 10 and 18.
The two-way table shows the type of lunches ordered by teachers and students in the cafeteria yesterday. Of the total people who ordered in the cafeteria yesterday, find the relative frequency of teachers to the nearest percent. Record your answer
on the grid.
The two - way frequency table is solved and the relative frequency of the teachers to cafeteria is A = 5.7 %
Given data ,
Let the relative frequency of teachers to total in the cafeteria be represented as A
Now , from the table of values , we get
The total number of teachers is = 29
Now , the total of the cafeteria is = 508
So , the relative frequency A = 29 / 508
On simplifying , we get
A = 0.05708
On rounding to the nearest percentage , we get
A = 5.708 %
Hence , the relative frequency is A = 5.7 % and the table is plotted
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Bonjour pouvez-vous m’aider svp?
Aline, Bertrand et Claude ont chacun un
sac contenant des bonbons. Chacun tire au
hasard un bonbon dans son sac.
Le contenu des sacs est le suivant.
Sac d'Aline
5 bonbons
rouges
Sac de
Bertrand
10 bonbons
Sac de
Claude
100 bonbons
rouges et
30 bonbons verts 3 bonbons verts
rouges et
1. Qui a la probabilité la plus grande de tirer
un bonbon rouge ?
2. On souhaite qu'Aline ait la même probabilité
que Bertrand de tirer un bonbon rouge. Avant
le tirage, combien de bonbons verts faut-il
pour cela ajouter dans le sac d'Aline ?
Merci bonne journée!
Assume that a sample is used to estimate a population mean. Find the 80% confidence interval for a sample of size 53 with a mean of 16.8 and a standard deviation of 12.8. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
80% C.I. =
Step-by-step explanation:
To find the 80% confidence interval, we must first determine the critical value (z-score) corresponding to 80%. For this, we would use a z-table or a statistical calculator.
I am an AI, and will use a programming function to find it:
```python
import scipy.stats as st
confidence_level = 0.8
z_score = st.norm.ppf(1 - (1 - confidence_level) / 2)
rounded_z_score = round(z_score, 2)
```
This gives us a z-score of 1.28. Next, we will find the standard error, which is the standard deviation divided by the square root of the sample size:
Standard Error (SE) = (σ / sqrt(n)) = (12.8 / sqrt(53))
Now, we will find the margin of error (M.E.), which is the product of the z-score and the standard error:
Margin of Error (M.E.) = (z-score * SE) = (1.28 * (12.8 / sqrt(53)))
Finally, we will find the lower and upper bounds of the 80% confidence interval:
Lower Bound = (sample mean - M.E.) = (16.8 - M.E.)
Upper Bound = (sample mean + M.E.) = (16.8 + M.E.)
To one decimal place, the 80% confidence interval is:
(16.8 - M.E., 16.8 + M.E.)
80% C.I. = (16.8 - 1.28 * (12.8 / sqrt(53)), 16.8 + 1.28 * (12.8 / sqrt(53)))
Can someone help me with 6-10. Directions: Find the volume of each figure. Round to the nearest hundredth when necessary.
The volume of the figures are
6. The cylinder = 11264 cubic feet7. The cylinder = 14482.28 cubic feet8. The rectangular prism = 3744 cubic feet9. The triangular prism = 475.2 cubic feet10. The sphere = 18824.14 cubic feetHow to find the volume of the figuresThe cylinder
The volume is calculated as
V = πr²h
Where
r = Radius
h = Height
So, we have
V = 22/7 * (32/2)² * 14
Evaluate
Volume = 11264
The cylinder
The volume is calculated as
V = πr²h
Where
r = Radius
h = Height
So, we have
(2r)² = 40² - 32²
(2r)² = 576
So, we have
r = 12
So, we have
V = 22/7 * (12)² * 32
Evaluate
Volume = 14482.28
The rectangular prism
The volume is calculated as
V = lwh
Where
l = Length
w = Width
h = Height
So, we have
V = 8 * 12 * 39
Evaluate
Volume = 3744
The triangular prism
The volume is calculated as
V = 1/2lwh
Where
l = Length
w = Width
h = Height
So, we have
V = 1/2 * 11 * 5.4 * 16
Evaluate
Volume = 475.2
The sphere
The volume is calculated as
V = 4/3πr³
Where
r = Radius
So, we have
V = 4/3 * 22/7 * (33/2)³
Evaluate
Volume = 18824.14
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Caden bought a yellow button for $0.98 and a teal button for $0.97. How much more did the yellow button cost than the teal one
Answer:
$0.01 more
Step-by-step explanation:
To calculate this, subtract the larger number from the smaller number to find the difference. 0.98 - 0.97 = 0.01, so the yellow button costs $0.01 more than the teal button.
what is the quotient (4-x)/(x^2 +5x -6) ÷ (x^2-11x+28)/(x^2 +7x +6)
-(x+1)/(x-1)(x-7) , x ≠1, x≠7
-1/(x-7) , x≠7
-1/(x-7), x≠1,x≠-6, x≠4
-(x+1)/(x-1)(x-7), x≠1, x≠-6, x≠4, x≠7 ************
simplify the complex fraction x/x+4/(1/x+[1/x+4])
x^2/2x *******
x^2 /x+4
(x^2 +2x +4)/(2x+4)
x^2 /2x+4
simplify the difference. (x^2 -6x -27)/(x^2 +x -6) - (x^2 -x -20)/(x^2 + 10x +24)
(4x- 64)/(x-2)(x+6)
(-5x -7)/(x-2)(x+6)
-4/(x-2)(x+6)
(2x^2 -10x -44)/(x-2)(x+6) ******
solve the equation. 1/(x-4) + 1/(x+8) = 1/8
x=4, x=-8
x=0, x=16 *****
x=-4, x=16
x= -4, x=8
there are 12 students in a social studies class. three students will be selected to present their term projects today. in how many different orders can three students be selected?
1,320
220 ***
504
36
what is the theoretical probability of rolling a sum of 10 on one roll of two standard number cubes?
1/6
1/9 ****
1/12
1/36
Garrett throws a dart at a circular dart board. the dart board has a radius of 15 inches, and the bulls eye in the center of the dart board has a radius of 2 inches. what is the probability that a dart thrown at random within the dartboard will hit the bull's eye? round your answer the the nearest tenth, if necessary.
1.8%
5.6%
8.4% ******
13.3%
you roll a srandard, six sides number cube. what is the probability of rolling a prime number or a number greater than 2?
5/6*****
2/3
1/6
1/2
the test scores for a math class are shown below. 83, 85, 82, 93, 83, 84, 95, 87, 86, 94
what are the mean, median, and mode of the data set?
mean:87.2;median:85.5;mode:83
mean:87;median:85.5;mode:85
mean:87.1;median:85;mode:83
mean:87.5;median:85;mode:83 ********
the test scores for a math class are shown below. 83, 85, 82, 93, 83, 84, 95, 87, 86, 94
what is the standard deviation of the data set? round your answer to the nearest tenth.
4.8
4.6
4.7
4.3
the top ten scores on a quiz in the two classes are listen below.
class A: 100, 100, 100, 90, 95, 85, 92, 98, 92, 88
class B: 100, 100, 98, 95, 95, 96, 95, 92, 81, 88
which statement is true concerning the data?
the mode is the same for both classes
the range is the same for both classes
the mean is the same for both classes
the median is the same for both classes********
a bag contains tiles with the letters P-R-O-B-A-B-I-L-I-T-Y. Tyler chooses a tile without looking and doesnt replace it. he chooses a second tile without looking. what is the probability that he will choose the letter I both times?
1/55
2/55 ********
2/121
3/121
convert 8pi/9 from the radians to degrees
80°
160°
288°
320° **********
find the exact value of cos 315°
(sqrt3)/2
-1/2
(sqrt2)/2 ************
-(sqrt2)/2
which cosine function has maximum of 2, minimum of -2, and a period of 2pi/3?
y=3 cos 2θ*********
y=2 cos 2θ/3
y=2 cos 3θ
y=2 cos θ/3
what is tan 3pi/4?
-1
(sqrt2)/2
- (sqrt2)/2 ********
(sqrt3)/2
evaluate csc 4pi/3
- (sqrt3)/2
(2sqrt3)/3
(sqrt3)/2 ********
- (2sqrt3)/3
a beam rests against a wall, forming a 55° angle with the floor. use the function y=9sec θ to find the length of the beam to the nearest tenth of a foot
10.0ft
11.0ft
15.7ft
17.4ft *******
Find the period and the amplitude of the periodic function. y=-3 cos 4x
period= 3pi, amplitude= 1/2
period= 1/2, amplitude= -3
period= 1/2 pi, amplitude =3
period=3, amplitude= 1/2 ******
which is the degree measure of an angle whose tangent is 3.73? round the answer to the nearest whole number.
15°
75° ********
-15°
-75°
Answer:
Step-by-step explanation:
Which is the decimal equialvent to 2/11
Answer:
2/11=0,1818....
Step-by-step explanation:
with 18 digits repeating ♾
Can you please help me with this question, Simplify 7y² + 3y²
Answer:
10y²
Step-by-step explanation:
You want to simplify the sum 7y² +3y².
Like termsThe variable factor in each term is y². Since it is the same in each term, these are called "like terms." Their coefficients can be added.
7y² +3y² = (7 +3)y² = 10y²
The simplified expression is 10y².
<95141404393>
24
Select the correct answer from each drop-down menu.
Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales
increase last year? What percentage did sales decrease this year?
Sales increased
last year, from $5,000 to $10,000. When sales dropped from $10,000 to $5,000 this year, sales decreased
Reset
Next
Percentage of sales increase last year is,
⇒ 100%
And, Percentage of sales decrease last year is,
⇒ 50%
We have to given that;
Last year, sales at a book store increased from $5,000 to $10,000.
And, This year, sales decreased to $5,000 from $10,000.
Hence, Percentage of sales increase last year is,
⇒ (10000 - 5000) / 5000 × 100%
⇒ 5000/5000 × 100%
⇒ 100%
And, Percentage of sales decrease last year is,
⇒ (10000 - 5000) / 10000 × 100%
⇒ 5000/10000 × 100%
⇒ 50%
Thus, Percentage of sales increase last year is,
⇒ 100%
And, Percentage of sales decrease last year is,
⇒ 50%
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A scientist has two solutions which she has a label solution a and solution be each contains salt she knows that the solution A is 40% salt solution B is 90% salt she wants to obtain 140 ounces of a mixture that is 75% salt how many ounces of each solution should she use?
Answer:
50
Step-by-step explanation:
A+B=90+40
90+40 = 130
130(0.75) = 97.5
130-97.5 = 32.5
32.5x2 = 65
Now
65 - 15 = 50
A garden is 15-feet long by 5-feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger
garden:
(x+15) + (x+5)+(x+15)+(x+5)
Which expression is equivalent to the expression for the perimeter of the larger garden?
Select all that apply.
O
DA 4x+40
□B. 2(2x+20)
□c. 2(x+15)(x+5)
D. 4(x+15)(x+5)
□E 2(x+15)+2(x+5)
B
»
Answer: A. 4x+40 and E. 2(x+15)+2(x+5)
Step-by-step explanation:
Name
noitonua brie cutoute
Complete the following sentences by writing the correct term on the line.
1. The large, central
in a(n)
nutrients and waste products.
cell absorbs water and stores both
interactions
The large, central vacuole in a cell absorbs water and stores both nutrients and waste products.
The vacuole is a membrane-bound organelle found in the cells of many organisms, including plants, fungi, and some protists. It plays a vital role in maintaining cell homeostasis and performing various functions.
The central vacuole, which is typically found in plant cells, is the largest and most prominent vacuole within the cell. It occupies a significant portion of the cell's volume and is surrounded by a membrane known as the tonoplast.
One of the primary functions of the central vacuole is to regulate the osmotic pressure within the cell. It achieves this by absorbing water from the surrounding environment or releasing water when the cell needs to shrink or maintain turgor pressure.
Additionally, the central vacuole acts as a storage compartment for various substances. It can store water, ions, sugars, pigments, toxins, and other metabolites. It also serves as a repository for waste products that need to be sequestered within the cell.
Moreover, the central vacuole contributes to the rigidity and structural support of plant cells. By occupying a significant portion of the cell's interior, it helps maintain cell shape and prevents the cell from collapsing under external pressure.
In summary, the large, central vacuole in a cell is responsible for absorbing water, storing nutrients and waste products, regulating osmotic pressure, providing structural support, and participating in various cellular processes.
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What is the value of this expression when n = -15?
-2/n+61
A. -42
B. -18
C. 18
D. 42
Answer:
B. - 18
Step-by-step explanation:
-2 ║n + 6 ║ n = -15
= -2 ║ - 15 + 7 ║
= -2 ║-9 ║
= -2 · 9
= -18
So, the answer is B. - 18
!! help please !!
!! ILL GIVE BRAINLIST !!
please help
Common internal tangent
point of tangency
Center
chord
secant
diameter
common external tangent
radius
semi-cirele
Major arc
Minor arc
Examining the figure the questions are solved to be
Common internal tangent = line HJ
point of tangency = G
Center = A
chord = line GK
secant = line CD
diameter = EF
common external tangent = line KF
radius = line BF
semi-circle = arc EGF
Major arc = arc CDK
Minor arc = arc CK
What is difference between a major and minor arcA major arc refers to the arc that is more than 180 degrees while minor arc is below 180 degrees.
considering the figure the arc CDK is above 180 degrees hence the major arc other major arcs are
DKG
GCD and so on.
while some of the minor arcs are
arc DG
arc DK
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1. How many multiples of 5 are there in between 14 and 345?
Answer:
Step-by-step explanation:
66
Compare the two parking garages.
Garage A
charges $5
plus $2
for every hour.
Garage B
charges $4.50
an hour, with no flat fee.
Garage B is more cost-effective for any parking duration exceeding 2 hours.
When comparing Garage A and Garage B based on their pricing structure, it's important to consider both the flat fee and the hourly rate to determine which option is more cost-effective.
Garage A charges a flat fee of $5, regardless of the duration of parking, and an additional $2 for every hour parked. This pricing structure benefits those who need to park for shorter durations, as the flat fee is relatively low.
However, for longer parking durations, the hourly charge can accumulate significantly, making it less favorable for extended stays.
On the other hand, Garage B follows a different approach by charging a rate of $4.50 per hour with no flat fee. This pricing structure is more suitable for those who require shorter parking times, as they only pay for the exact duration of their stay. In such cases, Garage B would likely be more cost-effective compared to Garage A.
However, for longer stays, Garage A might offer better value. For example, if someone needs to park for 6 hours, Garage A would charge $17 ($5 flat fee + 6 hours * $2/hour) while Garage B would charge $27 ($4.50/hour * 6 hours). In this scenario, Garage A would be the more affordable option.
Ultimately, the choice between Garage A and Garage B depends on the individual's specific parking needs. If the stay is anticipated to be short, Garage B's hourly rate is preferable.
However, for longer durations, Garage A's combination of a flat fee and hourly rate may result in lower overall costs. It's essential to consider the anticipated length of stay to make an informed decision.
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find ´y ,
[tex]x = (1 + 2y {}^{5}) {}^{3} [/tex]
can you help me?!
The value of y in terms of x =[tex](1+2y^5)^3[/tex] is y = ((∛x [tex]- 1 )^(^1^/^5^) / 2^(^1^/^5^)[/tex].
What is value?Value is the numerical quantity assigned to a variable, function or equation. This can be a single number or a set of numbers.
First step is to take the cube root of both sides
∛(x) = 1 + 2[tex]y^{5}[/tex]
Subtract 1 from both sides
∛(x) - 1 = 2[tex]y^{5}[/tex]
Dividing by 2
[tex]y^{5}[/tex] = ( ∛(x) - 1 ) / 2
Taking the fifth root of both sides
y = ( ∛(x) -[tex]- 1 )^(^1^/^5^) / 2^(^1^/^5^)[/tex]
Therefore y is ( ∛(x) -[tex]- 1 )^(^1^/^5^) / 2^(^1^/^5^)[/tex]
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Rearrange And Place in the correct order
Answer:
See below
Step-by-step explanation:
x -2y = 11 → x = 2y + 11
-7(2y + 11) - 2y = -13
-14y - 77 - 2y = -13
-16y - 77 = -13
-16y = 64
y = -4
x = 2(-4) + 11 → x = -3
(3,-4)
Helping in the name of Jesus.
