We have the following expression:
\(3\sqrt[]{45}\)First, we must find the prime factorization of the number inside the radical:
\(45=3\times3\times5\)Next, determine the index of the radical. In our case the index is two because it is a square root, which means we need two of a kind:
\(45=3\times3\times5=3^2\times5\)Then, we can move 3 outside the radical, that is
\(3\sqrt[]{45}=3\sqrt[]{3^2\times5}=3\times3\sqrt[]{5}\)and finally, simplify the expression both inside and outside the radical:
\(3\sqrt[]{45}=9\sqrt[]{5}\)Then, the answer is
Find x
A - 11 √6 / 4
B - 22 √2
C - 11 √6 / 2
D - 11 √2 / 4
Answer:
A
Step-by-step explanation:
using the sine ratio in the right triangle on the left to find the vertical side , h, and the exact value
sin60° = \(\frac{\sqrt{3} }{2}\) , then
sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{h}{11}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )
2h = 11\(\sqrt{3}\) ( divide both sides by 2 )
h = \(\frac{11\sqrt{3} }{2}\)
using the sine ratio in the right triangle on the right and the exact value
sin45° = \(\frac{\sqrt{2} }{2}\) , then
sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{h}{x}\) = \(\frac{\frac{11\sqrt{3} }{2} }{x}\) = \(\frac{\sqrt{2} }{2} }\) ( cross- multiply )
x = \(\frac{11\sqrt{3} }{2}\) × \(\frac{\sqrt{2} }{2}\) = \(\frac{11\sqrt{3(2)} }{2(2)}\) = \(\frac{11\sqrt{6} }{4}\)
In the cone below, the height of the cone is 17 cm and the radius is 8 cm.
Determine the slant height, h, of the cone. Round your answer to the nearest
tenths of a centimeter.
17 cm
8 cm
Answer: 18.8cm
Step-by-step explanation:
Your gonna use the equation (a^2)+(b^2)=(c^2), then you want to square root the number you get.
So (17*17)+(8*8)= 353
So then square root of 353 is 18.8
how many integers between 2023 and 5757 have 12, 20, and 28 as factors
Answer:
9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Step-by-step explanation:
An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.
The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.
The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:
5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9
So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
someone help me please
39 - 24 + 6m
Which of the following describes 6m in the expression above?
A. factor
B. product
C. coefficient
D. sum
Given a sphere with a diameter of 6.2cm, find its volume to the nearest whole
Answer:
the answer is 12
Step-by-step explanation:
d=2r=2*6.2=12.4
what is most likely to be represented by the number -40
Answer:
You tell me the question properly and i will edit this and put answer
Step-by-step explanation:
Until then bye
Answer:
Read Explanation Below
Step-by-step explanation:
So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)
1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology?
A. Create a circle using the center with given point tool.
B. Connect the point with a line through the center of the circle.
C. Create another circle with the same radius as the original.
D. Connect the two circles together using the compass tool.
Answer:
The answer is D
Step-by-step explanation:
Draw the point at which your circle will be centered.
Use a compass to draw a perfect circle centered at point O.
Use a ruler to draw a vertical line straight through point O.
Draw the points at which the line intersects the circle.
Draw a second circle. This circle will be centered at Point W and the radius will extend to Point O.
Mark both places where the two circles intersect. Label the point on the left "Point Y" and the point on the right "Point Z".
Connect points X, Y, and Z using a ruler or straight edge.
Graph the line with slope -1 passing through the point (-1, -2).
Step-by-step explanation:
find point (-1,-2)
go down one
go to the right one
repeat
draw line with arrows at each end
done!
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
What method of differentiation is necessary, and what is the derivative?
The given function is
\(f(x)=In\frac{2x^3}{\sqrt[]{x}}\)We need to use the derivation of some standard functions.
Recall that
\(\frac{d}{dx}\text{In u(x)}=\frac{1}{x}u^{\prime}.\)Derivation of rational functions with quotient rule.
\(\frac{d}{dx}(\frac{u(x)}{v(x)})=\frac{vu^{\prime}-uv^{\prime}}{v^2}\)Differentiate the given function with respect to x, we get
\(f^{\prime}(x)=\frac{d}{dx}(In\frac{2x^3}{\sqrt[]{x}})\)\(\text{Use }\frac{d}{dx}\text{In u(x)}=\frac{1}{x}u^{\prime}.\)\(f^{\prime}(x)=\frac{1}{\frac{2x^3}{\sqrt[]{x}}}\frac{d}{dx}(\frac{2x^3}{\sqrt[]{x}})\)\(f^{\prime}(x)=\frac{\sqrt[]{x}}{2x^3}\frac{d}{dx}(\frac{2x^3}{\sqrt[]{x}})\)\(\text{Use }\frac{d}{dx}(\frac{u(x)}{v(x)})=\frac{vu^{\prime}-uv^{\prime}}{v^2}.\)\(f^{\prime}(x)=\frac{\sqrt[]{x}}{2x^3}\times\frac{\sqrt[]{x}(2\times3x^2)-2x^3(\frac{1}{2}x^{-\frac{1}{2}})}{(\sqrt[]{x})^2}\)\(f^{\prime}(x)=\frac{\sqrt[]{x}}{2x^3}\times\frac{6x^2\sqrt[]{x}-\frac{x^3}{\sqrt[]{x}}}{x}\)\(f^{\prime}(x)=\frac{\sqrt[]{x}}{2x^3}\times\frac{\frac{6x^2\sqrt[]{x}\times\sqrt[]{x}}{\sqrt[]{x}}-\frac{x^3}{\sqrt[]{x}}}{x}\)\(f^{\prime}(x)=\frac{\sqrt[]{x}}{2x^3}\times\frac{\frac{6x^3-x^3}{\sqrt[]{x}}}{x}\)\(f^{\prime}(x)=\frac{\sqrt[]{x}}{2x^3}\times\frac{5x^3^{}}{\sqrt[]{x}}\times\frac{1}{x}\)\(f^{\prime}(x)=\frac{\sqrt[]{x}}{2x^3}\times\frac{5x^3^{}}{\sqrt[]{x}}\times\frac{1}{x}\)\(f^{\prime}(x)=\frac{5}{2x}\)Hence the required differentiation is
\(f^{\prime}(x)=\frac{5}{2x}\)aresh and Archie collect a total of 72 comic books. At first, the ratio of Paresh’s comic books to Archie’s comic books is 5 : 3. Then Paresh gives 6 of his comic books to Archie. Decide if each statement about the comic books is true or false.
what is the answer
Answer:
false
Step-by-step explanation:
because paresh gave away 6 to archie so ariche got more and paresh got few
What is the image of the point (-2,3) after a rotation of 90° counterclockwise about the origin?
Answer:
use the equation (x,y)---->(-y,x)
(-2,3)----> (3,-2)
The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The point (-2, 3) is in the second quadrant. After a rotation of 90° counterclockwise about the origin, the point will be in the first quadrant.
After the rotation, the coordinate of the points will get swapped and in the first quadrant, the value of the coordinate will be positive.
The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).
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Help please make the letter in the brackets the subject of each formula
Answer:
v - u = 10t
t = 1/10x(v-u)
2. 1/6 x (m - 19) = n
3. u = d/t - at
4.- 1/6 x (A - P)
T = 2.5
Step-by-step explanation:
v = u + 10t
v- u = 10t
divide both sides of the equation by 10
t = 1/10x(v-u)
2. m = 6n + 19
subtract 19 from both sides of the equation
m - 19 = 6n
divide both sides of the equation by 6
1/6 x (m - 19) = n
3. d = ut + at²
subtract at² from both sides of the equation
d - at² = ut
divide both sides of the equation by t
(d/t) - at = u
4. P = A - 6D
subtract A from both sides of the equation
P - A = -6D
divide both sides of the equation by -6
-1/6(P - A) = D
A student has 30 dimes and nickels. Their total value is $2.70. If d = number of dimes and n = number of nickels, this system of equations represents the situation:
d + n = 30
0.10d + 0.05n = 2.70
How many of each type of coin are there? Solve the system to answer the question.
A.
24 dimes and 6 nickels
B.
20 dimes and 10 nickels
C.
10 dimes and 20 nickels
D.
6 dimes and 24 nickels
Taking into account the definition of a system of linear equations, a student has 24 dimes and 6 nickels.
System of linear equationsA system of equations is a set of equations in which there are two or more variables, the goal of which is to find all ordered pairs (x, y) that satisfy the equation, where x and y are real numbers.
In other words, a system of linear equations is a set of two or more first degree equations that relate two or more unknowns, in which it is desired to find the value of each unknown so that all the equations of the system are satisfied.
This caseIn this case, a system of linear equations must be proposed taking into account that:
d = number of dimes.n = number of nickels.You know that:
A student has 30 dimes and nickels. The total value is $2.70.The system of equations to be solved is
d + n = 30
0.10d + 0.05n = 2.70
It is decided to solve it using the substitution method. This method consists of isolate one of the variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "d" from the first equation:
d= 30 -n
Replacing the expression in the second equation:
0.10×(30 - n) + 0.05n = 2.70
Solving:
0.10×30 - 0.10n + 0.05n = 2.70
3- 0.10n + 0.05n = 2.70
- 0.10n + 0.05n = 2.70 -3
-0.05n= -0.3
n= (-0.3)÷ (-0.05)
n= 6
Remembering that d=30 -n you get:
d= 30 - 6
d= 24
There are 24 dimes and 6 nickels.
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I need help with this please
The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.
What is a line plot?In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:
Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)
Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)
Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8
Total sugar consumed = 22/8 + 1/4
Total sugar consumed = (22 + 2)/8
Total sugar consumed = 24/8
Total sugar consumed = 3 units of sugar.
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need help with number 9 solve for A!
Answer:
-61
Step-by-step explanation:
This is the answer because -61 minus -5 is -66 which in turn is divided by six, which gives you the answer of -11
hisI need help, i need someone to show me how to solve this math problem
step by step.
-7+4(-7+4)
Answer:
-7+4=-3
(-7+4)=-3
3(3)=9
10, 100, 1000, 10,000, ...
common ratio:
Answer:
Step-by-step explanation:
10
I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy
Answer:
2.5
Step-by-step explanation:
We Know
You buy 4 5/8 blue fabric and 2 1/8 green fabric .
4 5/8 = 37/8 = 4.625 blue fabric
2 1/8 = 17/8 = 2.125 green fabric
How much blue than green did you buy?
We Take
4.625 - 2.125 = 2.5
So, you buy 2.5 blue more than green.
Jayda is older than her 12-year-old sister. Write an inequality for j, Jayda's age.
The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.
Let j represent Jayda's age.
Since Jayda is older than her 12-year-old sister, we can write the inequality:
j > 12
Thus, the inequality states that Jayda's age (j) is greater than 12.
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Maria use 2/3 cups of powder mix every 2 gallons of water what is strength of the sports drink
Answer:
a
Step-by-step explanation:
wht not
A decision maker should use subjective probability rather than objective probability Group of answer choices if solid data describing the frequencies of various outcomes are available. if available data are unlikely to describe the circumstances. if one of the outcomes is very desirable. if she is very enthusiastic about a project.
Answer:
what's your question really about. are u asking true or false
Linda goes water-skiing one sunny afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to the dock. The driver steers the boat toward the dock, turning in a parabolic path as it nears. If Linda lets go of the towrope at the right moment, she will glide to a stop near the dock. Let the vertex of the parabola travelled by the boat be the origin. The dock is located 30 m east and 30 m north of the origin. The boat begins its approach to the dock 30 m west and 60 m north of the origin.a) If Linda lets go of the towrope when she reaches point A, where is she headed relative to the dock? Use an equation to describe the path. (Hint: She will travel in a straight line.) b) If Linda lets go of the towrope when she reaches point B, where is Linda headed relative to the dock?c) If Linda waits until point C, how close will her trajectory be to the dock?d) At what point should Linda release the towrope to head straight for the dock?e) What assumptions have you made?f) To make this situation more realistic, what additional information would you need? Create this information, and solve part d) using what you have created. As you work through the task, be sure to explain your reasoning and use diagrams to support your answers.A
what is the square root of 81
Answer: I hope this is helpful
Step-by-step explanation:
The square root of 81 is 9 and you can say -9
We can find the square root of 81 using prime factorization method, or repeated subtraction method.
81 is a perfect square number and it is the fourth power of 3. we will calculate the square root of 81 by repeated subtraction method and solve a few interesting problems.Square Root of 81: √81 = 9
The square root of a number is the number that when multiplied to itself gives the original number as the product. Finding the square root of a number is the inverse of squaring a number. 81 = a × a = a2 Thus, a = √81= √(9 × 9)9 × 9 = 81 or -9 × -9 = 81. Therefore √81= ± 9This shows that 81 is a perfect square.
7. A group of 140 tourists are going on a tour. The tour guide rents
15 vans. Each van holds 9 tourists.
Part A
Write a division problem that can be used to find the number of
vans needed to carry the tourists. Then solve.
Answer:
16
Step-by-step explanation:
140 divided by 9 = 15.5
you need 16 vans to hold 140 tourists
Answer this please<3333
9514 1404 393
Answer:
A. $0.99
Step-by-step explanation:
The unit rate will be the amount associated with 1 unit: $0.99.
2+2 (I have been having a lot of trouble on this
Answer:
it's 4
Step-by-step explanation:
I hope it helps .....
Answer:
4
Step-by-step explanation:
2+2=4
I'll give a real world problem to help you understand. So pretend that you have 2 cookies on your plate and your sibling has 2 cookies on their plate too. If your siblings gives you their 2 cookies and you add them to your plate, how many cookies are on your plate now? There should now be 4 of them!
Does this help?
12. The calculation of property tax is based on the
The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.
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Which of the following are solutions to the equation below?
Check all that apply.
(5x- 2)2 = 10
m A. x=-2 +2
B. x = -V12
m c. x- 42
0 D. X=2 +2
E. x= v10 +2
0 F. x- 10+2
5
The provided equations are not a solution to the given equation, which is (5x - 2)2 = 10
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have given a linear equation in one variable:
(5x - 2)2 = 10
Finding the solution to the above equation
5x -2 = 5
5x = 7
x = 7/5
For checking A:
x= -2+2
x = 0
Not a solution to the given equation.
For checking B:
x = -√12
Not a solution to the given equation.
For checking C:
x- 42 = 0
x = 42
Not a solution to the given equation.
For checking D:
x=2 +2 = 4
Not a solution to the given equation.
For checking E:
x= √10 +20
Not a solution to the given equation.
For checking F:
x-10 +2 = 5
x = 13
Not a solution to the given equation.
Thus, the provided equations are not a solution to the given equation, which is (5x - 2)2 = 10
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do you add or multiply when you do area
Answer:
either one will work.
you can either multiply length times width or you can add all the sides together.
Step-by-step explanation:
hope this helps
have a good day
Answer:
mulitpy
Step-by-step explanation:
area= L x W
(Length x Width = Area)