The product of the given irrational number ∛5 × √2 is equal to
option b. [tex]\sqrt[6]{200}[/tex]
As given in the question,
Given irrational numbers are:
∛5 × √2
Take the least common multiple of 3 and 2
Least common multiple of 3 and 2 is 6.
∛5 = [tex]5^{2 \times\frac{1}{2}\times \frac{1}{3} }[/tex]
= [tex]\sqrt[6]{5^2}[/tex]
= [tex]\sqrt[6]{25}[/tex]
√2 = [tex]2^{3 \times\frac{1}{3}\times \frac{1}{2} }[/tex]
=[tex]\sqrt[6]{2^3}[/tex]
= [tex]\sqrt[6]{8}[/tex]
Product of ∛5 × √2 is given by:
∛5 × √2 = [tex]\sqrt[6]{25} \times \sqrt[6]{8}[/tex]
= [tex]\sqrt[6]{25 \times 8}[/tex]
= [tex]\sqrt[6]{200}[/tex]
Therefore, the product of the given irrational number is equal to [tex]\sqrt[6]{200}[/tex] .
The complete question is:
What is the following product?
∛5 × √2
a. [tex]\sqrt[6]{10}[/tex]
b. [tex]\sqrt[6]{200}[/tex]
c. [tex]\sqrt[6]{500}[/tex]
d. [tex]\sqrt[6]{10000}[/tex]
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Two cars leave for a vacation at the same time.
The drivers estimate how far they can travel in the first few hours.
Car B starts downtown.
Meanwhile, Car A starts 100 miles closer, heading to the same destination.
The graph shows the motion of each car.
Their speeds can be compared by comparing the steepness of the graphed line.
Use the drop-down menus to complete the statements.
Car A is travelling at a faster rate than Car B because its line on the graph is steeper.
What justifies measuring average speed?Average Understanding speed will help you better comprehend the pace of a travel. The speed may occasionally change while traveling. Finding the average speed becomes crucial in this situation so that you can get an idea of how quickly the travel will be finished.
What are typical speeds and an illustration?Divide the overall distance traveled by the time period to find the average speed. An someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location (60 mph)
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The area of a triangle is 36 cm2. The height of the triangle is 6 cm less than the base. What is the height of the triangle?.
Answer:
[tex]\huge{\boxed{\text{The height of the triangle is 6cm.}}}[/tex]
Step-by-step explanation:
This question requires us to use a system of equations.
The area of a triangle is (1/2) * (base) * (height).
Thus, if b = base, and h = height
[tex]\frac{1}{2} bh=36[/tex]
Additionally, from the problem, we know:
[tex]b=h+6[/tex]
Then, via substitution, we can get
[tex]\frac{1}{2} *(h+6)*h=36[/tex]
Then, simplify:
[tex]\frac{1}{2} h^2+3h=36[/tex]
[tex]\frac{1}{2} h^2+3h-36=0[/tex]
[tex](\frac{1}{2} h-3)(h+12)=0[/tex]
Thus, the height must equal either 6 or -12, and because height cannot intrinsically be negative, the height must be 6.
Hope it helps :) and let me know if you want me to elaborate.
What is the distance between the points (12 , -16) and (-10 , -16) in the coordinate plane?
Answer:
22
Step-by-step explanation:
Things To Keep In Mind:
(X, Y)
(12, -16) and (-10, -16) have the same Y, which means to find the distance all you have to do is subtract the Xs.
12 - -10
12 + 10
22
If there are any problems in this answer please tell me, thanks :)
I dont exactly understand
Answer: 99 is your answer bro
Step-by-step explanation:
Omari buys a computer for $1,099. He
makes a down payment of 20%. His monthly
payments for the computer are $144. How
many months will it take Omari to finish
paying off the computer?
It will take 6 months for Omari to finish paying off the monthly payment for the computer.
What is the monthly payment?
The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.
Given, the total price of the computer = $1,099
down payment = 20% of $1,099 = $219.8
The remaining amount = $1,099 - $219.8 = $879.2
monthly payments for the computer = $144
Then, the total months to pay = 879.2/144 = 6 months
Hence, it will take 6 months for Omari to finish paying off the monthly payment for the computer.
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In math class, there are 4 students for every 2 teachers. What is the ratio represented?
Answer:
4
Step-by-step explanation:
Write a number in which the value of the digit in the thouand place ha one-tenth the value of the digit in the ten-thouand place
The number in which the value of the digit in the thousand place as one-tenth the value of the digit in the ten-thousand place is 44,000.
In 44000, the value of each place is 1/10 the value of the place before it as you move to the right in the place value chart. As a result of moving one place to the left, the value of the digit in the number 44,000's ten thousands place is 10 times greater than that of the digit in the thousands place.
In mathematics, place value refers to a digit's location within a number. A number has a slot for each digit. The placement of each digit will be enlarged when we represent the number in general form.
These positions begin at the unit place, often known as the individual's position. Units, tens, hundreds, thousands, ten thousand, one hundred thousand, and so on are the place values of a number's digits from right to left.
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Two types of alien live on the planet Starlight: Zoomas have 3 eyes and 2 legs and Popsies have 4 eyes and 5 legs. How many of each type of alien might there be if there are 38 eyes and 37 legs
Answer:
Below
Step-by-step explanation:
(3y + 2l )z + (4y + 5l) p = 38y+37 l <=======given ( y = eyes , l = legs)
z 2l + p5l = 37 l <===separating out the' l ' part
2z + 5p = 37
3y z + 4y p = 38y <====== taking out the 'y' part
3z + 4 p = 38 Solve the two underlined simultaneous equations
multiply first one by - 1.5 then add to second one to get:
-3z -7.5p = - 55.5 <===== solve for p
-3.5 p = - 17.5
p = 5 then z = 6
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the expression in factored form?
x
2
+
13
x
+
42
What is the solution to the system of equations graphed below? y=-3/2x+2 y = 5x + 28 A. (4,8) B. (0.2) C. (-8,4) D. (-4.8)
Answer:
(-4, 8)
Step-by-step explanation:
y = -1.5x + 2
y = 5x + 28
y + 1.5x = 2
y - 5x = 28
6.5x = -26
x = -4
y = 5(-4) + 28
y = -20 + 28
y = 8
In square QRST, ST = 8x + 9 and QR = 73, what is x?
Answer:
8
Step-by-step explanation:
8x + 9 = 73 becauss ir is a square
8x = 64
x = 8
Answer:
x = 8 units
Step-by-step explanation:
In square QRST, ST = 8x + 9 and QR = 73, what is x?
in the attached figure you can see that the measurement of ST and QR are the same, it is a square, therefore 4 equal sides, we can solve with an equation
8x + 9 = 73
8x = 73 - 9
8x = 64
x = 64 : 8
x = 8 units (your answer)
-----------------------------
check
8 x 8 + 9 = 73
64 + 9 = 73
73 = 73
the answer is good
A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.
Please answer quick and add an explanation 0.0
Thank you!
Answer: 9/4
Step-by-step explanation:
The equation for this is 3/4 x 3 = 3/4 x 3/1 = 2 1/4
Simple 2 1/4 to fraction = 9/4
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The mug has a capacity of 2 1/4 cups of water, as per the given conditions.
Given that,
A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As
1 / 3 of mug = 3 / 4 cups
1 of mug = 3/4 / [1/3]
1 of mug = 3×3 / 4
1 of mug = 9 / 4 cups or 2 1 / 4 cups
Thus, the mug has a capacity of 2 1/4 cups of water, as per the given conditions.
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Identify each output value for the given input value if the rule of the table is to add -6.
The output values from the rule are -12, 2, 0, -6 and -10
How to determine the output valuesFrom the question, we have the following parameters that can be used in our computation:
Rule = add -6
This means that
Output = Input - 6
Using the values in the question, we have
Output = -6 - 6 = -12
Output = 8 - 6 = 2
Output = 6 - 6 = 0
Output = 0 - 6 = -6
Output = -4 - 6 = -10
The above represent the output values
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7x9=(7 × 10) - (7 × ▲) what is the value of the triangle
Answer: 1
Step-by-step explanation:
Very simple both of them have the same base is 7. And we know that the number is 7x9, so the triangle is 1 because when both numbers have the same base, we will subtract the other number to get the answer!
4 candy bars and 6 drinks cost $8.50. Which equation describes this situation if c equals
candy bars and d is drinks?
O4c+d=8.50
O4c+6d=8.50
O8d-8.50*
O6c+4d=8.50
Answer:
04c+06d=$8.50
Step-by-step explanation:
-x - 2 + 15x is what?
Emmett's seventh grade class is going on a field trip to a history museum. There are x students and y teachers going on the trip. Tickets for students are $10 each and tickets for teachers are $20 each. The history museum gave the class 20% off as part of a group promotion.
Pick all the expressions that represent the total cost of the field trip.
Expressions that represent the total cost of the field trip is
0.8{10x + 20y}.
What is Expression?A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)
It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence.
As instances of expressions and how they connect to word phrases, consider the following:
Example: 3 + 7
The phrase "the product of three and seven"
Cost of Ticket for each student cost = $10
Cost of Ticket for each Teacher cost = $20
Let the total students be x
and, total number of teacher will be y
Total cost= 10x + 20y
As museum gives 20 % rebate for promotion
So, now total cost will be {10x + 20y} - 20/100 {10x + 20y}
So the required Expression would be 0.8{10x + 20y}.
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Help please!! In picture below
Answer:
1) No correlation
2) Weak positive correlation
3) Strong negative correlation
i need help please
The function f(x) = 5x + 2,500 models the number of computer chips produced by a manufacturing plant each month during its first year. How many computer chips was the plant able to produce in month 3? chips
Answer:
The plant was able to produce 2515 computer chips in 3 months
Step-by-step explanation:
You just have to sustitute
each month
f(x)= 5(x) + 2500
3 months
f(3) = 5(3) +2500
f(3) = 2515
Hope it helps u
Ron did not pay his credit card bill in full last month. He wants to pay it in full this month. On this month's bill, there is a mistake in the average daily balance. The
credit card company lists the average daily balance on his bill as $510.50. Ron computed it himself and found that it is $410.50.
a. The APR is 18%. What finance charge did the credit card company compute on Ron's bill?
b. If Ron's average daily balance is correct, what should the finance charge be?
The credit card company calculated a finance charge of $7.66 on Ron's bill if the annual percentage rate is 18%.
What is finance charges?A finance charge is any fee that represents the cost of credit or borrowing. It is the interest and fees charged for certain types of credit. It includes not only interest but also other charges like financial transaction fees.A financing charge is, to put it simply, any fee incurred when using credit. A finance charge is the total of all fees that are imposed incidentally to the extension of credit by the creditor and are paid directly or indirectly by the person to whom credit is extended, according to the Truth in Lending Act's legal definition.Your monthly statement from your credit card company will include a list of all finance charges in addition to your purchases and payments. Your card issuer will determine how your finance fee appears on your statement.The finance charge is the product of the average daily balance and the monthly percentage rate.
The annual percentage rate (APR) is 18% or 0.18.
$510.50× 0.18 / 12 =$7.66
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Write the equation of the line passing through the points (-3,3) and (3,1).
The equation of the line is?
Answer:
y = -1/3x + 2
Step-by-step explanation:
Slope-intercept form of a linear equation is written as:
y = mx + b, where x and y are coordinates from one of the points on the line, m is the slope, and b is the y-intercept.
1. You'll first want to find the slope, m. Slope can be calculated from two points by using the equation (y1 - y2)/(x1 - x2). If you plug your two points into this equation for x and y (making sure that y1 and x1 are from the same point and y2 and x2 are from the other), you'll get,
(3 - 1)/(-3 - 3) = 2/-6 = -1/3
m = - 1/3
2. You can then plug your slope, m, into the slope-intercept form of the equation. Using one of your points (doesn't matter which, but I'll use (3,1)), you can solve for b, your y-intercept.
1 = -1/3(3) + b
1 = -1 + b
b = 2
3. Plug the variables into the equation.
For your final equation, plug the slope, m, and y-intercept, b, that you just found.
y = -1/3x + 2
if someone else collected a different sample from your population and measured the same variable, would they calculate the same sample statistic?
It is possible that someone else collecting a different sample from the same population and measuring the same variable would calculate the same sample statistic, but it is not guaranteed.
What is meant by Sample Statistic?Statistical measures that are derived from samples of data rather than the complete population are called sample statistics. A population parameter, such the mean or standard deviation, is estimated using this method. Depending on the type of data and the research issue being examined, sample statistics can be estimated using a variety of formulae and techniques. For instance, to get the sample mean, multiply the sum of all the observations in the sample by the total number of observations. The sample standard deviation is calculated by taking the square root of the sum of the squared differences between each observation and the sample mean. In research studies and surveys, sample statistics are frequently utilized to draw conclusions about the population.
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H is a trigonometric function of the form h(x)=acos(bx+c)+d.
Below is the graph h(x). The function has a maximum point at (-pi/2,5) and has a minimum point at (pi/4,-4)
Find the Formula for h(x). Give an exact expression
h(x) has the following formula: 9/2 cos[4/3 (x+/2)] + 1/2
What is a trigonometric function ?Trigonometry is a discipline of mathematics that examines certain functions of angles and how to use them in computations. There are six frequent uses for an angle in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant.
The graph is sent as
Two point (-π/2 , 5) , (π/4 , -4)
amplitude is A = 9/2
Period = π + π/2 = 3π/2
B = 2π/3π/2 = 4/3
Phase shift = - π/2 (π/2 to left)
midpoint y= 0.5
equation of cosine will be
9/2 cos[ 4/3 (x+π/2) ] + 1/2
Therefore h(x) = 9/2 cos[ 4/3 (x+π/2) ] + 1/2
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what is the answer i need them now pls I'm going to fail
Answer:
A
Step-by-step explanation:
You said fast so no explanation
What is the sampling method that involves taking a random selection of people from a defined population?.
A technique called simple random sampling involves choosing a random group of individuals from a predetermined population.
What is Simple random sampling?A selection of participants from a population is chosen at random by the researcher using simple random sampling, a sort of probability sampling.
Every person in the population has the same chance of being chosen.
Then, data are gathered from as much of this randomly selected subgroup as possible.
A straightforward random sample, where each participant has an equal chance of being selected, selects a small, random portion of the entire population to represent the entire data set.
Using techniques like lotteries or random draws, researchers can generate a straightforward random sample.
Therefore, a technique called simple random sampling involves choosing a random group of individuals from a predetermined population.
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I need help on this question.
What is m
Please help me somebody!!
I will award lots of points, I will rate and I will heart your answer. I can ban trolls!
A Christmas party sells child and adult tickets at a ratio of 4:1. On Saturday, They sold 17 adult tickets, how many child tickets did they sell that day?
Answer:
68
Step-by-step explanation:
Answer: 68
Step-by-step explanation: To find how many child tickets they sold that day, we need to set up this proportion:
[tex]\frac{4}{1}[/tex] = [tex]\frac{?}{17}[/tex]
So, now we cross multiply, so 1 x 17 = 17, and 4 x 17 = 68. I hope this helped someone!
Triangle TABLE has vertices M(-7,-1) A(5,6) L(2,-3) write the equations of the line that contains the altitude of the triangle that passes through vertex T Brainly
For the given coordinates the area of the triangle will be 248.5 square units.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,triangle TABLE has vertices M(-7,-1) A(5,6) L(2,-3)
x₁,y₁=(-7,-1)
x₂,y₂=(5,6)
x₃,y₃=(2,-3)
We must utilize the triangle's vertices to calculate the area of the triangle in order to obtain the equation,
S=1/2[-7(6-(-3)+5(-3-(-1)+2(-1-(6)]
S=248.5
Thus, for the given coordinates the area of the triangle will be 248.5 square units.
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Draw and label a coordinate plane so that the x-axis extends from -9 to 9 and the y-axis
extends from -6 to 6. Represent each of these points with a dot, and label the point using
its letter name.
The labeling and the graph are shown in the attached image.
What is equation?The equals sign is used in equations to indicate the equality of two expressions in a formula. Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.
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