The value of y in terms of x =\((1+2y^5)^3\) is y = ((∛x \(- 1 )^(^1^/^5^) / 2^(^1^/^5^)\).
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\(y^{5}\)
Subtract 1 from both sides
∛(x) - 1 = 2\(y^{5}\)
Dividing by 2
\(y^{5}\) = ( ∛(x) - 1 ) / 2
Taking the fifth root of both sides
y = ( ∛(x) -\(- 1 )^(^1^/^5^) / 2^(^1^/^5^)\)
Therefore y is ( ∛(x) -\(- 1 )^(^1^/^5^) / 2^(^1^/^5^)\)
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Which rules define the function graphed below? (-2,2) (0,6) (4,6)
Answer:
y = 2x + 3; y = -1/3 x + 3
Step-by-step explanation:
Both lines have y-intercept 3.
The slopes are 2 and -1/3.
The equations are: y = 2x + 3; y = -1/3 x + 3
a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.
The experimental probability that Diana will win a game is 3/8. If she plays the game 80 times, approximately how many times should she expect to win?
Answer:
She should win approximately 30 times.
Step-by-step explanation:
Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.
What fraction is equivalent to half
Answer:
1/2 is a half for example u can do 4/8 and it is equal to a half does not matter how big like 50/100 is also correct. Hope this helps :)
Stella and Michael are helping their friend Austin move. Stella can move one box for every four boxes that Michael can move. If Stella moves ten boxes, how many boxes can Michael move?
Explanation:
Stella can move 1 box for every 4 boxes Michael moves.
She moves 10 boxes, so that must mean Michael moved 40 boxes (since 4*10 = 40).
Put another way, the ratio 1:4 bumps up to the equivalent form 10:40 after multiplying both parts by 10. The first value of each ratio is the amount of boxes Stella moves, and the second part is what Michael moves.
You could also solve it like this
1/4 = 10/x
1*x = 4*10
x = 40
In the second step, I used cross multiplication.
Find the area of the figure. (Sides meet at right angles.)
7 yd
3 yd
2 yd
4 yd
10 yd
3 yd
yd
7yd
62 square yards is the area of the figure.
What is Area?Area is the measure of a region's size on a surface and the area of a plane region or plane area refers to the area of a shape
In the given figure there are three rectangle in that two are smaller rectangles squares.
The rectangle has length of 10 yd and width of 5 yd.
Area of rectangle (Large)=10×5
=50 square yds
The side length of smaller rectangle is 3 yards and width is 2 yd
Area of rectangle (small)=3×2
6 square yds.
As there are two smaller rectangles, then area will be 2(6)=12 yards.
Now total area = 50+12
=62 square yards.
Hence, the area of the figure is 62 square yards.
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A fence with 2 gates in it surrounds a lion enclosure.
Each gate is 4 m wide.
an image
What is the length of the fence around the enclosure not including the gates?
The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
From the given data, we know that each gate is 4 m wide.
Therefore, the width of the rectangle is:
Width = w + (4 m + 4 m) = w + 8 m
The perimeter of the rectangle is:
P = 2l + 2(w + 8 m) = 2l + 2w + 16 m
Now, we need to subtract the combined length of the two gates from the perimeter:
P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m
So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
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4 x 3 + 4 x 2 + 13 x + 6 4x 3 +4x 2 +13x+6 is divided by 2 x + 1 2x+1.
Answer:
If you are trying to simplify this then the answers 304 + 13x
Step-by-step explanation:
Simplify Complex Numbers
3.
√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10
… = 5 √10
=> a = 5
4.
√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = i * √3 * 10
… = 10i √3
=> -a = 10 and b = 3 => a = -10 and b = 3
=> a - b = -10 - 3 = -13
Fine the surface of one yard.
please help .-.
Answer:
1) 34 square meters
2) 21 square yards
Step-by-step explanation:
1) 7x4=28
1/2x3x2x2=6
28+6= 34 square meters
2)3x3=9
1/2x3x2x4=12
9+12= 21 square yards
For Zendaya's lemonade recipe, 3 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?
The unit rate of cups of lemonade per lemon is in the ratio of 6:1.
What is the unit rate?The unit rate is the ratio of two or more quantities or values that are compared to one another.
Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.
Zendaya's Lemonade Recipe:The number of lemons required to make 18 cups of lemonade = 3 lemons
Rate of lemonade per lemon = 18/3 = 6/1
Ratio = 6:1 or 1:6
Conversely, the rate of lemon per cup of lemonade = 1/6
Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.
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At a local food ratio of monkeys to tigers at 6 to 4 and they’re 20 tigers how many monkeys are at the zoo
4 ÷ 20 = 5 (5 sets of '6 monkeys and 4 tigers')
5 x 6 = 30
There are 30 monkeys in the zoo
HELP NEED ASAP!!! PLEASE HELP ME OUT
The value of x that will make both lines A and B to be parallel is: 20
How to solve Line transversal theorem?The line transversal theorem states that:
If two parallel lines are cut by a transversal line, then it means that the Alternate Exterior Angles are congruent.
Similarly, If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
Now, we see that the two given angles will be corresponding angles using the line transversal theorem and as such they are congruent. thus:
3x + 20 = 80
3x = 80 - 20
3x = 60
x = 60/3
x = 20
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Which statement is true about the expression 4x + 2y - m?
1 . The expression has one constant.
2. The expression is a product of three factors.
3. The expression shows that 4 is a coefficient.
4. The expression includes two terms.
Answer:
the correct answer is option 3
Step-by-step explanation:
because 4 is the coefficient of x
Find an equation of the line having the given slope and containing the given point.
Slope is -2
Line through (5, -6)
Answer:
y = -2x + 4
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of -2 and passes through (5, -6).
We want to write the equation of the line.
There are three ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b the value of y at the y-intercept.Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. Point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1,y_1)\) is a point.Any of these forms will work, however let's put it into slope-intercept form as that is the most common way.
SolvingAs we are already given the slope, we can immediately plug that into the equation.
Substitute m with -2.
y = -2x + b
Now, we need to solve for b.
As the equation passes through (5, -6), we can use its values to help solve for b.
Substitute 5 as x and -6 as y.
-6 = -2(5) + b
Multiply.
-6 = -10 + b
Add 10 to both sides.
4 = b
Substitute 4 as b.
y = -2x + 4
Identify the 2D shape made by this cross section
Answer:
rectangle
Step-by-step explanation:
5) In four plays a football team gains 3 yards, loses 7 yards, loses 2 yards, and gains 15 yards. How many yards did the team gain after four plays?
Answer:
The Team gained 9 yards after 4 plays.
Step-by-step explanation:
3 - 7 - 2 + 15 = 9
What grade level is this?
Have a nice day! :-)
Where does the line 3x + 7y = 2 intersect the x- and y-axis?
Answer:
he line will intersect the y-axis where x = 0. So we get 7y= 14, or y=2. Hence the line will intersect the x-axis at (0,2).
Step-by-step explanation:
∅·∅
A clinical psychologist noticed that the siblings of his obese patients are often not overweight. He hypothesized that the normal-weight siblings consume fewer daily calories than the obese patients. To test this using a matched pairs design, he compared the daily calorie intake of obese patients to that of a “matched” normal-weight sibling. The calories consumed for each sibling pair are given in the table on page 304.
Test whether or not obese patients consume significantly more calories than the normal-weight at a .05 level of significance.
The calculated t-value (4.14) is greater than the critical t-value (2.447), we can reject the null hypothesis and conclude that obese patients consume significantly more calories than their normal-weight siblings at a .05 level of significance.
To test whether obese patients consume significantly more calories than their normal-weight siblings, we can perform a paired t-test at a significance level of .05.
First, we need to calculate the differences in calorie intake between each sibling pair:
Sibling Pair Obese Patient Calorie Intake (cal) Normal-Weight Sibling Calorie Intake (cal) Difference
1 2,450 1,500 950
2 3,500 1,800 1,700
3 3,000 2,100 900
4 2,700 2,000 700
5 2,800 1,900 900
6 3,400 2,000 1,400
7 3,000 2,000 1,000
Next, we need to calculate the mean difference and standard deviation of the differences:
Mean difference = (950 + 1,700 + 900 + 700 + 900 + 1,400 + 1,000) / 7 = 1,014.29
Standard deviation of differences = 382.46
Using these values, we can calculate the t-value:
t = (mean difference - 0) / (standard deviation of differences / \(\sqrt{n}\))
where n is the number of sibling pairs (in this case, n = 7).
t = (1,014.29 - 0) / (382.46 / \(\sqrt{7}\)) = 4.14
Finally, we can compare the t-value to the critical t-value at a .05 level of significance with 6 degrees of freedom (n-1):
t_critical = 2.447
We may rule out the null hypothesis and reach the conclusion that obese individuals consume considerably more calories than their normal-weight siblings at a.05 level of significance because the estimated t-value (4.14) is higher than the critical t-value (2.447).
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wy.
e) The quotient of two numbers is equal to the sum of those numbers
Answer:
"The quotient of two numbers is equal to the sum of the numbers" can be expressed by x/y = x + y, but the statement is false. You can't plug in any old x and y and expect the statement to be true. Just think of the equation y=10x+5.
Step-by-step explanation:
50 points find x
Please help
Answer:
x = 17
Step-by-step explanation:
The dash on each side means that all side lengths are equal in length.
Therefore, the shape shown is a regular polygon (hexagon).
Exterior angle of a regular polygon = 360 ÷ number of sides
⇒ Exterior angle of a regular hexagon = 360 ÷ 60 = 60°
Therefore,
4x - 8 = 60
Add 8 to both sides:
⇒ 4x = 68
Divide both sides by 4:
⇒ x = 17
This graph shows the four quadrants of the coordinate plane with a line passing through (0,2) and (6,6) and extending in both directions. Write an equation for the line in y=mx+b. Simplify any fractions.
Therefore, the equation of the line passing through (0, 2) and (6, 6) in y=mx+b form is y = (2/3)x + 2.
How are equations for a line determined?We must ascertain the slope (m) and the y-intercept in order to compute the equation of a line with the formula y=mx+b. (b).
The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):
m = (y2 - y1)/(x2 - x1)
Using (0, 2) and (6, 6), we can calculate:
m = (6 - 2)/(6 - 0) = 4/6 = 2/3
As a result, the line has a 2/3 slope.
We may use the point-slope form of the equation to determine the y-intercept:
y - y1 = m(x - x1)
Using the slope we just discovered and the location (0, 2), we have:
y - 2 = (2/3)x
When we simplify this equation, we obtain:
y = (2/3)x + 2
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What is the volume of a cube that whose edges each have a measure of 1.5 CM
Answer:
3.375\(cm^{3}\)
Step-by-step explanation:
Volume = L x W x H
Volume = 1.5 x 1.5 x 1.5
Volume = 3.375\(cm^{3}\)
may someone assist me?
All 3 lines inside the triangle cross at the centroid.
BS is 1/3 the total height of FS
FS = 16 x 3 = 48
solve 3(x+4)-11=28 please
Answer:
\(\huge\boxed{\sf x = 9}\)
Step-by-step explanation:
Given equation:3(x + 4) - 11 = 28
Add 28 to both sides3(x + 4) = 28 + 11
3(x + 4) = 39
Distribute3x + 12 = 39
Subtract 12 from both sides3x = 39 - 12
3x = 27
Divide both sides by 3x = 27/3
x = 9\(\rule[225]{225}{2}\)
A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 15 cm?
Answer: 15 cm
Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.
I NEED HELP ASAP plsssssss
Answer:
#1=24 #2=36 #3=77 #4=21
Step-by-step explanation:
Hope this helps
Answer:
1-8×3=24
2-9×4=36
3-11×7=77
4-7×3=21
but don't forget to put units and put square
HELP PLASEEEEEEEE!! amazing
Answer:
b
Step-by-step explanation:
Answer:
It would get MUCH hotter
Step-by-step explanation:
without water vapor to keep to plantet at an equilibrium it would get hotter which would boil the oceans making the earth more like venus
how many tickets are there when it weighs 135 grams
Answer:
about like 4-5
Step-by-step explanation:
its 4 or 5
Select the correct answer from each drop-down menu. Astronomers can use geometry to measure the objects in space and describe their
Please Help.
Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
Who are astronomers?It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.
In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
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Answer:
distance between, motion
Step-by-step explanation:
plato, I got it right