The simplest radical form in terms of x is √x.
The radical in the question can be represented as
∛(x∛(x∛(x√(2&x)) ) )
The formula for rational exponents is:
√(n&a*b)=√(n&a)* √(n&b)
Hence,
∛(x∛(x∛(x√(2&x)) ) )
∛x*∛(∛(x∛(x√(2&x)) ) )
∛x*√(9&x∛(x√(2&x)) )
∛x*√(9&x)*√(9&∛(x√(2&x)) )
∛x*√(9&x)*√(27&x√(2&x))
∛x*√(9&x)* √(27&x)√(27&√(2&x))
∛x*√(9&x)* √(27&x)*√(54&x)
As, √(n&x)=x^(1/n)
Hence
x^(1/3)*x^(1/9)*x^(1/27)*x^(1/54)
According to multiplying exponent rules with the same base, x^a*x^b=x^(a+b)
Hence,
x^(1/3+1/9+1/27+1/54)
x^(27/54)
x^(1/2)
√x
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A company makes Poppy Lapel pins.
Answer:
the percentage profit of the company is 63.9%.
Step-by-step explanation:
Cost of making pins= £1.10
Number of pins= 1000
Total cost for making the pins
= Cost of each pin × Number of pins
= £1.10 × 1000
= £1110
Percentage of pins sold in charities
= 35% of 1000 pins
= (35/100) × 1000
= 350 pins
Left pins= 1000-350 = 650 pins
Number of pins sold at £3.00:
= 60% of 650
= (60/100) × 650
= 390
Selling price of these 390 pins
= 390 × £3.00
= £1170
Number of pins sold at £5.00 for 2:
= 40% of 650
= (40/100) × 650
= 260
These 260 pins were sold in pairs for £5.
Therefore, number of pairs sold
= 260/2
= 130 pairs
Selling price of these 130 pairs of pins
= 130 × £5.00
= £650
Therefore, total selling price
= £1170 + £650
= £1820
Profit by company
= Selling price - Cost price
= £1820 - £1110
= £710
Profit percentage
= Profit × 100 / Total cost price
= 710 × 100 / 1110
= 71000/1110
= 63.9%
Ahmed and Madri Jaleeni are self-employed motel operators.
They pay 100% of the PPO insurance premium of $6,510 annually.
They also have a dental plan that costs $546 annually and a vision
plan that costs $244 annually. The premiums are paid quarterly
(every 3 months). How much do they pay each quarter?
Answer:
$1825 is paid each quarter
Step-by-step explanation:
$6500 for PPO
+ 546 for Dental
+ 244 for vision
= 7300 ÷ 4 (there are 4 quarters in each year)
= $1825 each quarter
Help me please 50 points please
The area of the triangle JKL is 11/2 units² = 5.5 units².
What are the vertices of a triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
The coordinates of the vertices of the triangle JKL are J(-2,1), K(0,3), and L(3,-4).
The formula for the area of a triangle whose vertices are (x₁, y₁), (x₂, y₂) and (x₃, y₃) is A = 1/2[x₁ (y₂ - y₃) + x₂( y₃ - y₁) + x₃ (y₁ - y₂)]
In the question:
x₁ = -2, y₁ = 1, x₂ = 0, y₂ = 3, x₃ = 3, y₃ = -4:
The area of the given triangle is:
A = |1/2[-2 (3 - (-4)) + 0(-4 - 1) + 3(1 - 0)]|
A = |1/2[ -2 × 7 + 0 + 3]|
A = |1/2[ -14 + 3]|
A = |-1/2(11)|
A = 11/2 square units.
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Given (b - 3)(3b + 8)(2b + 5) = 0, which factor(s) must equal zero? J) Only (b - 3) must equal zero. K) Only (3b + 8) must equal zero. L) Only (2b +5) must equal zero. M) At least one factor must equal zero. N) All three factors must equal zero.
M) At least one factor must equal zero.
What are the factors of production?Factors of production are, land, labor, capital, and entrepreneurship
Factors of production is an economic term that describes the inputs that are used in the production of goods or services in order to make an economic profit.
In order for a product of factors to be equal to zero, at least one of the factors must be equal to zero. This is because any number multiplied by zero is equal to zero. So, if (b - 3)(3b + 8)(2b + 5) = 0, then at least one of the factors (b - 3), (3b + 8), or (2b + 5) must equal zero. It is not necessary for all three factors to be equal to zero, as long as one of them is.
Hence, M) At least one factor must equal zero.
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Graph the line with slope 1 passing through the point (5, 3)
The line with slope 1 passing through the point (5, 3) is y = x - 2.
What is slope of a line?A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics.
The letter m is frequently used to represent slope; the reason for this is unclear, but it is first used in English by O'Brien in 1844, who wrote the equation for a straight line as "y = mx + b," and by Todhunter in 1888,
who wrote it as
y = mx + c
To Graph the line with slope 1 passing through the point (5, 3) we need to find the slope intercept form
The slope formula = y - y₁ = m(x -x₁)
⇒ y - 3 = 1(x -5)
⇒ y = x -5 + 3
⇒ y = x - 2
Now putting the value on graph we get [See attachment]
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In a group of 100 people ; 19 were drinking punch and 23 were eating fish . Find the probability that people picked from this group at random is either drinking punch or eating fish
Probability that people picked from this group at random is either drinking punch or eating fish is 42/100.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Total number of people = 100
Number of people drinking punch = 19
Number of people eating fish = 23
Probability of people drinking punch = 19/100
Probability of people eating fish = 23/100
Probability that people picked from this group at random is either drinking punch or eating fish = P(people drinking punch) + P(people eating fish)
= (19/100) + (23/100)
= 42/100
Hence the probability of people drinking punch or eating fish is 42/100.
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The vertices of pentagon JKLMN are listed below.
What is the approximate perimeter of the pentagon?
The perimeter of the triangle would be -
{P} = {JK} + {KL} + {LM} + {MN} + {NJ}
Given is a pentagon JKLMN .
The perimeter of a figure is the sum of the length of its sides. So, we can write the perimeter of the pentagon as -
{P} = {JK} + {KL} + {LM} + {MN} + {NJ}
Therefore, the perimeter of the triangle would be -
{P} = {JK} + {KL} + {LM} + {MN} + {NJ}
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please do no spamming 20 points!!!!!!!!!!!!!!!
Answer:
Answer in image
Step-by-step explanation:
Finding the distance between point A and B, then Point C and B will tell you if the two sides are congruent. Then knowing that two sides are congruent, we can determine whether or not the triangle is isosceles, because isosceles triangles have two congruent sides. Then know there are two congruent sides, we know that the base angles must be the same, which leads to the conclusion of this being an isosceles triangle.
-Hope this helped & Happy New Year!
write an equation of a line perpendicular to the line 4x-3y=15 and passes through the point (8 -5)
Answer:
[tex]y+5=-\frac{3}{4}(x-8)[/tex]
Step-by-step explanation:
[tex]4x-3y=15 \\ \\ 3y-4x=-15 \\ \\ 3y=4x-15 \\ \\ y=\frac{4}{3}x-5[/tex]
The slope of the given line is [tex]4/3[/tex]. So, the slope of the line that we need to find is [tex]-3/4[/tex].
Using point-slope form, the equation is [tex]y+5=-\frac{3}{4}(x-8)[/tex].
i need helppppppppppp
Answer:
3π/2 radians
Step-by-step explanation:
Its 3 quadrants. That's 3/4 of 2π radians, or 3π/2 radians.
A ream of paper is 500 sheets. Mr. Perez puts 1/4 of the ream in his printer. He stores 2/3 of the remaining ream and divides the rest of the paper equally among his 25 students. How many sheets of paper does each student get?
Answer:
Each student would get 25 sheets of paper.
Step-by-step explanation:
Mr. Perez starts out with 500 sheet. He puts 1/4 in the printer. That leaves 3/4 that he did not put in the printer.
3/4 x 500 = 375.
He take 2/3 of the 375 sheets and stores them. This leaves 1/3 of 375 sheet to hand out to students.
1/3 x 375 = 125
He has 125 sheets to share among 25 students.
125/5 = 25
the Mary muffin company has 128 peaches they want to bake as many cobblers as they can if it takes nine peaches to make a cobbler how many cobblers will they make how many peaches will not be used
If it takes nine peaches to produce one cobbler and the Mary muffin company has 128 peaches, they want to make as many cobblers as they can. One peach won't be used in the 14-number cobbler that was created.
How many cobblers will they make and peaches will not be used ?If it takes nine peaches to produce one cobbler and the Mary muffin company has 128 peaches, they want to make as many cobblers as they can. They will then produce cobblers that are 128/9 = 14.222. As a result, they will produce 14 varieties of cobblers without using 1 peach. It is derived by dividing the share price of a corporation by the number of outstanding shares, as opposed to book value or shareholders' equity, which is only the difference between a firm's assets and liabilities. The simplest approach of valuing a company is market capitalization.It is computed by dividing the share price of the corporation by the total number of outstanding shares. Market capitalization is a frequent illustration of valuation. This multiplies a company's share price by the total number of outstanding shares.To learn more about Mary muffin company refer to :
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Claire traveled 382 miles. She drove 82 miles every day. On the last day of her trip she only drove 52 miles. Write and solve an equation to find the number of days Claire traveled. Explain each step of your problem solving strategy.
An equation is a mathematical expression that shows the relationship between two variables
How to write and solve an equation to find the number of days Claire traveled.Since Claire traveled 382 miles. She drove 82 miles every day. On the last day of her trip she only drove 52 miles.
Let d represent the number of days Claire travelled.
Since Claire travelled 82 miles per day, the number of miles she travels in d days is D = 82 × d = 82d
Also, since she travels 52 miles on the last day, the total distance she travels is D' = 82d + 52
Now, since the total distance Claire travels is 382 miles, we have that
D' = 382 miles
So,
82d + 52 = 382
So, the required equation is 82d + 52 = 382
Solving the equation for d, we have
82d + 52 = 382
82d = 382 - 52
82d = 330
d = 330/82
d = 4.02 days
d ≅ 4 days
The equation for the number of days Claire travelled is 82d + 52 = 382 The number of days claire travelled is 4 daysLearn more about equation for number of days travelled here:
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What is the leading coefficient of. Y=2x³ +5
Answer:
2
Step-by-step explanation:
the leading coefficient is the number in front of the variable with the largest exponent.
here, the largest exponent is 3 in 2x³ and the corresponding coefficient for that is 2
(6+3)²+(9-10+5) what’s the answer
Answer:
15 + 4
Step-by-step explanation:
Thanks for the help whoever helps me!
Answer:
B
Step-by-step explanation:
How many grams of sugar are there in a 200 ml glass of juice?
Apple juice
250 ml contains
Carbohydrate
Sugar
Protein
29.5 g
| 25.5 g
0.3 g
Ans
Answer:
like 10 or 15 grams because theare is glass of juice
200 ml of juice will contain 20.4 g of sugar.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given: 250 ml of juice contains 29.5g carbohydrate, 25.5g sugar , 0.3 g protein.
Now 250 ml of juice contains 25.5 g of sugar
therefore 1 ml of the juice will contain 25.5/250=0.102 g
Thus 200 ml of juice will contain 0.102×200=20.4 g
Hence, 200 ml of juice will contain 20.4 g of sugar.
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Functions f(4) determine what f(x)=40
The value of the function at 4, f(4) = 74 and the then value of x when f(x) = 40 is 6.
What are Functions?Functions are defined as the relation between two sets such that elements of a set is mapped to the elements of the other set and no element in the first set has more than one image in the other set.
Given values of x and the function values on those x in the table.
x values are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
f values on these x are 60, 64, 42, -5, 74, -4, 40, -29, 3, 47
Clearly we can see that x = 4 maps to 74.
So f(4) = 74.
Similarly we have an f value of 40 at x = 6.
Hence f(4) = 74 and the x = 6 when f(x) = 40.
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What is the remainder when 3 is synthetically divided into the polynomial
-2x² + 7x-9?
A. -6
B. 0
C. -4
D. 2
Answer:
A. -6 is the correct answer.
Answer:
So the remainder when 3 is synthetically divided into the polynomial -2x² + 7x - 9 is -6. The correct answer is therefore A.
In the figure above, c + d = 70.
What is the value of a + b?
From the given figure c+d = 70 and the value of a+b could be 70 .
What is triangle ?
triangle is defined as a plane figure in which it has three sides and three angles.
In the given triangle, in which it contains angle c and d
let another angle could be z .
so c + d + z = 180
as the sum of all three angles in a triangle is 180 degrees.
c+d = 70
so,
z = 180 - (c+d )
z = 180 - 70
z =110
in another traingle which is opposite to angle z.
let angles in that triangle be x , y , f .
x+y+f = 180
180- a + 180 - b + f = 180
180 = a+b+f
angle f = angle z as vertically opposite angles are always equal.
hence
a+b+f = 180
a+b = 180-f
a+b = 180-z
a+b = 180-110
a+b = 70
Hence the value of a+b is 70
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!!!!!!!
The number of Cones needed in the first, second, and third cases will be 7, 4, and 3, respectively.
What is the volume?Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
Let πr³ = x. Then the volume of a cylinder is given as,
V₁ = πr³
V₁ = x
The volume of a sphere is given as,
V₂ = (4/3)πr³
V₂ = 4x/3
The volume of a cone is given as,
V₃ = (1/3)πr³
V₃ = x/3
The number of Cones needed, along with 1 Sphere to equal the volume of one Cylinder will be given as,
⇒ (4x/3 + x) / (x/3)
⇒ (7/3) × (3)
⇒ 7
The number of Cones needed to equal the volume of one Sphere will be given as,
⇒ (4x/3) / (x/3)
⇒ (4/3) × 3
⇒ 4
The number of Cones needed to equal the volume of one Cylinder will be given as,
⇒ (x) / (x/3)
⇒ 1 × 3
⇒ 3
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A small ring of mass 0.2 kg is threaded on a fixed vertical rod. The end A of a light inextensible string is attached to the ring. The other end C of the string is attached to a fixed point of the rod above A. A horizontal force of magnitude 8 N is applied to the point B of the string, where AB = 1.5 m and BC = 2m. The system is in equilibrium with the string taut and AB at right angles to BC (see diagram). The equilibrium is limiting with the ring on the point of sliding up the rod. (ii) Find the coefficient of friction between the ring and the rod.
The coefficient of friction between the ring and the rod is approximately 0.408.
STEPS TO FIND THE COEFFICIENTTo find the coefficient of friction between the ring and the rod, we can use the equation:friction = (force parallel to the surface) ÷ (force perpendicular to the surface)
In this case, the force parallel to the surface is the force of friction between the ring and the rod, and the force perpendicular to the surface is the weight of the ring. We can call this coefficient of friction as "µ"In order for the ring to be in equilibrium, the horizontal force applied at B must be balanced by the force of friction between the ring and the rod. So:F_horizontal = friction
F_horizontal = µ × F_perpendicular
8 N = µ × m × g
where m is the mass of the ring and g is the acceleration due to gravity.
Substituting the values, we have8 N = µ × 0.2 kg × 9.8 m/s²
µ = 8 N ÷ (0.2 kg * 9.8 m/s²)
µ = 0.408
So the coefficient of friction between the ring and the rod is approximately 0.408.
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In ΔDEF, e = 1.4 cm, f = 9.1 cm and ∠D=109°. Find the area of ΔDEF, to the nearest 10th of a square centimeter.
Answer:
6.0 cm²
Step-by-step explanation:
You want the area of ∆DEF with sides e=1.4 cm, f=9.1 cm, and angle D=109°.
AreaThe area of the triangle is given by the formula ...
A = 1/2ef·sin(D)
A = 1/2(1.4 cm)(9.1 cm)sin(109°) ≈ 6.37·0.94552 cm² ≈ 6.023 cm²
The area of triangle DEF is about 6.0 square centimeters.
On Saturday morning, Wendy watched one and a half hours of her favorite shows on television. During the shows there were 15 commercials. What is the unit rate of commercials per hour?
5 hours per commercial
10 commercials per hour
15 commercials per hour
20 commercials per hour
Answer:
10 commercials per hour
Step-by-step explanation:
Hope it helps!
#15 At Greenville Middle School, students are enrolled in a foreign
language. Use the table to answer the following question: What
percentage of 7th graders are enrolled in French or German?
The percent value of 7th grade students enrolled in French or German is given as 64%.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
As per the table given the following data can be concluded as,
Total number of students in 7th grade is 11 + 13 + 5 + 15 = 44
And, the number of students of 7th grade in french or german is,
Number of students in French + Number of students in German
⇒ 13 + 15 = 28
Then, the percent value can be calculated by the operation given below as,
⇒ 28 ÷ 44 × 100 = 63.63%
Which is approximately 64%.
Hence, the percent value of 7th graders in French or German is obtained as 64%.
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Which name is given to a reaction in which the number of each type of atom on one side of the equation is equal to the number of
The same kind of atoms on the other side of the equation?
A balanced
B electrical
C complete
D atomic
Answer:
A balanced
Step-by-step explanation:
A reaction in which the number of each type of atom on one side of the equation is equal to the number of the same kind of atoms on the other side of the equation is called a balanced chemical equation.
It is a chemical equation that has the same number of atoms of each element on both sides of the equation. This is important because the law of conservation of mass states that matter can't be created or destroyed, so the number of atoms on one side of the equation must be equal to the number of atoms on the other side of the equation.
It is also important for calculating the stoichiometry of a reaction, determining the amount of reactants and products needed for a reaction, and to make sure that the chemical equation is in accordance with the laws of thermodynamics.
3000/7.333333 to a whole number
The whole number for the given rational number is 409.
What is a whole number?Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.
Given that, 3000/7.333333.
Here, take x=7.3333...... ------(I)
Multiply equation (I) by 10, we get
10x=73.3333...... ------(II)
Subtract equation (I) from equation (II), we get
9x=66
x=66/9
x=22/3
Now, 3000÷22/3
3000×3/22
= 9000/22
= 409
Therefore, the whole number for the given rational number is 409.
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4x+10+x=2.5(2x-4)
WITH SOLUTION PLEASEE AND I RLLY NEED IT RN thank u
Answer:
no solution
Step-by-step explanation:
4x + 10 + x = 2.5(2x - 4) ← distribute parenthesis
5x + 10 = 5x - 10 ( subtract 10 from both sides )
5x = 5x - 20 ( subtract 5x from both sides )
0 = - 20 ← not possible
this indicates the equation has no solution
Explain how to determine the zeros of the polynomial f(x)= x³ + (b-a)x² - abx
for the positive real numbers a and b.
The zeros of the polynomial f(x)= x³ + (b-a)x² - abx for the positive real numbers a and b are 0, a, and -b.
What is polynomial?A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminate (also known as variables) and coefficients.
Given:
f(x) = x³ + (b-a)x² - abx
Take x common on the right side as shown below,
f(x) = x [x² + (b - a)x - ab]
Factorize the term as shown below,
f(x) = x (x - a)(x + b)
Plug the zero on the left side to find the zeros,
0 = x (x - a)(x + b)
x = 0,
x - a = 0,
x = a
x + b = 0,
x = -b
Thus, the zeros are 0, a, and -b.
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A label is placed around the juice box, not including the bases: Determine the surface area of the label. 2 in 4 in 1.5 in
The surface area of the label would be 30.48 square centimeters.
What is surface?Surface is the outermost layer of a body, such as the skin, the crust of a planet, or the outermost layer of a liquid. Surface can also refer to the top of an object, such as the surface of a table or a lake. The term can also be used to describe a general area, such as the surface of the moon. In terms of physics, surface is any area where two materials meet.
The surface area of the label can be determined by multiplying the three
Measurements of the box together. In this case, the label is 2 inches in length, 4 inches in width, and 1.5 inches in height. Multiplying these three numbers together results in a surface area of 12 square inches. To find the surface area in a different unit of measurement, such as centimeters, the measurements must first be converted to the appropriate unit. For example, if the measurements were converted to centimeters, the surface area of the label would be 30.48 square centimeters.
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