Answers
Answer:
[tex]\sqrt[9]{10}[/tex]
Step-by-step explanation:
When you're multiplying radicals you start by multiplying inside the radical. Break it down so it's easier for you:
1. [tex]\sqrt{15}*\sqrt{6} = \sqrt{90}[/tex] beacause 15 * 6 = 90
2. The next step is to simplify that radical. You simplify by finding factors of that number. The factors of 90 are:
1 * 902* 453 * 305 * 186 * 159 * 10You want to take the biggest factors of that number (yours is 9 * 10). After that you are going to break it down more. What are the factors of 9 and what are the factors of 10? Well the biggest factors of 9 are 3 * 3 and the biggest factors of 10 are 5 * 2, so 10 cannot be broken down anymore because it doesn't have two of the same numbers so 10 is going to stay the same, but 9 has two of the same number (3). What we're left with is [tex]\sqrt[3]{10}[/tex] because the same numbers stay out of the radical and the single number stays inside.
3. We can't forget about the 3 that we left out, so what we're going to do is write [tex]3 *\sqrt[3]{10}[/tex]. When you multiply that out you keep the outside with the outisde which results in the answer being [tex]\sqrt[9]{10}[/tex] because this cannot be simplified anymore.
Related Questions
The sum and difference of two positive numbers are 15 and 5 respectively. Find the numbers.
Answers
[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]
Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before discount and tax. After the discount, and before tax, the price is $34.40. Find the percent discount.
Answers
Answer:
20%
43*0.8=34.4
Hope This Helps!!!
If I make 2,500 dollars a minute.How much money will I make in 8 hours?
Answers
Answer:
1200000
Step-by-step explanation:
First, convert the 8 hours into minutes 8 hours * 60 minutes = 480 minutes
Then just do 2500 dollars * 480 minutes = 1200000
Answer:
$1,200,000
Step-by-step explanation:
We 1st multiply 2,500 by 60 due to 60 minutes being in 1 hour and get 150,000
We now know that in 1 hour you make 150,000 and to find out how much you make in 8 we then multiply 150,000 by 8 which equals $1,200,000.
I hope this helps have a great day and happy holidays :)
Consider the graph of the equation y=(x–9)? – 7. Compared the graph of y=x”, how has the vertex been shifted (left/right and/or up/down) and by how many units?
Answers
Answer:
Shifted to the right by 9 units, and down by 7 units
Step-by-step explanation:
y=x is the origin.
(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction
(you can be able to review why this is from online resources or you can ask your teacher)
the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction
let's sum up:
for this situation,
- what is inside the parentheses is the x
- what is outside the parentheses is the y
- the x-values direction shifts opposite from the sign (+/-)
- the y-values direction shifts like the sign (+/-)
So,
the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.
f(-3)
f(x)= 3 to the power of x
Answers
See attached picture
What is the slope of the line that passes through the points (-10,1 ) and (0,5 )?
Answers
Answer:
4/10 or 0.4
Step-by-step explanation:
I just need 20 charecters
Answer:
slope = 0.4
Step-by-step explanation:
HOPE THIS HELPS :)
express the following fractions as the sum or difference of two fractions (x^2+y^2)/x^4
Answers
Answer:
[tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]
Step-by-step explanation:
[tex]\frac{x^2 + y^2}{x^4}[/tex] = [tex]\frac{x^2}{x^4}[/tex] + [tex]\frac{y^2}{x^4}[/tex] = [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]
The solution of the expression (x²+y²)/x⁴ is [(1/x² + y²/x⁴)].
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is (x²+y²)/x⁴. The expression will be solved as,
E = (x²+y²)/x⁴
Separate the terms into two fractions,
E = (x²+y²)/x⁴
E = (x²/x⁴) + ( y² / x⁴)
Divide the divisible terms and solve,
E = (1/x² + y²/x⁴)
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Given h(x)=-3x-4h(x)=−3x−4, find h(0)
Answers
Answer:
h(0) = -4
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
h(x) = -3x -4
h(0) = -3·0 -4 = 0 -4
h(0) = -4
_____
Additional comment
In general, a polynomial function evaluated when the variable is zero will have the value of any added constant. All of the variable terms will be zero. Since the constant in this function is -4, we know immediately that h(0) = -4.
I need some help with this.
Answers
I only solved #53 , it is inverse.
Will mark brainly!! :)
What is the inverse of [tex]f(x)=-2x+7\\[/tex]
[tex]f^{-1} (x) =2x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-2x+7[/tex]
[tex]f^{-1} (x)=\frac{1}{2}x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-\frac{1}{2} x+\frac{7}{2}[/tex]
Answers
Answer:
[tex] {f}^{ - 1} (x) = - \frac{1}{2} x + \frac{7}{2} [/tex]
A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same direction at a rate of 54km/h. At what time will the van catch up with the truck?
Answers
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
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Answer:
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
Find the slope-intercept form of the line whose slope 5 is and that passes through the point (-5,8).
The equation of the line is
Answers
Answer:
y=5x+33
Step-by-step explanation:
y-y1=m(x-x1)
y-8=5(x-(-5))
y-8=5(x+5)
y=5x+25+8
y=5x+33
Find the sum of all solutions to the equation $3x(x+4) = 135$.
Answers
Answer:
-4
Step-by-step explanation:
3x(x + 4) = 135
3x² + 12x = 135
3x² + 12x - 135 = 0
On dividing by 3
x² + 4x - 45 = 0
x² + (9x - 5x) - 45 = 0
x² + 9x - 5x - 45 = 0
x(x + 9) - 5(x + 9) = 0
(x + 9)(x - 5) = 0
x = 5 & -9
Sum = -9 + 5
Sum = -4
The sum of the solutions of the given quadratic equation will be -4.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
As per the given equation,
⇒ 3x(x + 4) = 135
Multiply the 3x as,
3x² + 12x = 135
3x² + 12x - 135 = 0
Divide the above equation by 3 as
3x²/3 + 12x/3 - 135/3 = 0
x² + 4x - 45 = 0
x² + 9x - 5x - 45 = 0
x(x + 9) - 5(x + 9) = 0
(x - 5)(x + 9) = 0
x = 5 and x = -9
Therefore the sum will be -9 + 5 = -4
Hence "The total of the quadratic equation's answers will be -4".
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Sarah has 150 marbles. Of the marbles, 2/5 are blue, 3/10 are clear, and the rest are green. What is the ratio of blue marbles to clear marbles to Green marbles in simplest form?
Answers
Answer:
4 : 3 : 3
Step-by-step explanation:
2/5 of 150 = 300/5 or 60; therefore, there are 60 blue marbles
3/10 of 150 = 450/10 or 45; therefore, there are 45 clear marbles
150 - (60 + 45) = number of green marbles; there are 45 green marbles
Blue : Clear : Green ratio is 60 : 45 : 45 or 4 : 3 : 3
The base of a triangle is v245 cm and its height is V20 cm. Find its area.
Answers
The given information of the base length and the height of the
rectangle are sufficient to find the area of the triangle.
Correct response:
The area of the triangle is 35 cm.²Methods used for finding the areaGiven that the parameters are;
The base of the triangle = [tex]\sqrt{245}[/tex] cm
The height of the triangle = [tex]\mathbf{\sqrt{20}}[/tex] cm
Required:
To find the area of the triangle
Solution:
[tex]Area \ of \ a \ triangle = \mathbf{ \dfrac{1}{2} \times base \times height}[/tex]Therefore, the area, A, of the given triangle is given as follows;
[tex]A = \dfrac{1}{2} \times \sqrt{245} \ cm \times \sqrt{20} \ cm= \dfrac{1}{2} \times \sqrt{4,900} \ cm^2= \dfrac{1}{2} \times 70 \ cm^2 = 35 \ cm^2[/tex]
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23% of a snack mix is almonds. How much snack mix would you need to get 230g of almonds?
Answers
Answer:
230/p = 23/100 You would need 1,000 g of snack mix.
Step-by-step explanation:
There are 1000 snack mix would be needed to get 230g of almonds.
Given that;
23% of a snack mix is almonds.
And, there are 230g of almonds.
Let us assume that;
The number of snacks = x
Hence, it can be written as,
23% of x = 230
23/100 × x = 230
23x = 23000
x = 23000/23
x = 1000
Therefore, The number of snacks = 1000 g
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Suppose you are putting up a tent for a camping trip.
The 9 foot center pole makes a right angle with the ground. If a rope goes from the top of the pole to a point on the ground 12 feet away from the base of the pole. how long of a rope is needed?
Answers
The length of the rope needed is 15 feet
Given the following parameters;
Height of the pole = 9 footThe distance from the rope away from the base of the pole is 12 feetRequired
Length of the rope.To get the length of the rope, you will use the pythagoras theorem expressed as:
c² = a² + b²Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
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The expression 3r - 6 can be written as _____. 3(r - 2) 3(r - 6) 3(3r - 6).
Answers
Answer:
The expression 3r - 6 can be written as 3(r - 2)
Step-by-step explanation:
We know that 3r-6=3(r-2) because 3*r is the same as 3r and we know that 3*-2 is -6 hence making them equal. And to check it we know that 3r-6 is equal to 3r-6.
What is the perimeter of a rectangle whose length is twice the width? Width = 7 cm.
Answers
Answer:
42 cm is the perimeter
Step-by-step explanation:
Brainleast answer mo nalang
Answer:
P = 42 cm
Step-by-step explanation:
The perimeter (P) is the sum of the 4 sides of the rectangle with opposite sides being congruent.
Given width = 7 cm then length = 2 × 7 = 14
P = 7 + 7 + 14 + 14 = 42 cm
5
Select the correct answer.
Find the slope and the y-intercept of the equation 4x + 5y = -9.
А slope = 4/5 and y-intercept = -(9)/(5)
В. slope = '-(4)/(5) and y-intercept = "19)/(5)
C. slope = *(4)/(5) and y-intercept = -197(5)
D
slope = '(4)/(5) and y-intercept = "9/5
Answers
Answer:
slope = -4/5 and y-intercept = -9/5
Step-by-step explanation:
make y the subject of the formula
How much will is cost for 10 pencils and one notebook
Notebook $1.25
Pencil $0.50
Binder $2.15
Pen $0.80
Answers
Answer:
$6.25
Step-by-step explanation:
10 pencils = $0.5 times 10 = $5
$5 plus $1.25 (price of the notebook) = $6.25
Which one cuz they are in different order.!!!
Answers
Answer:
wot
Step-by-step explanation:
What three consecutive numbers add up to 75?
Answers
Answer:
24,25,26
Step-by-step explanation:
Answer:24, 25, 26
Step-by-step explanation:
Divide the 75 by 3 because that is how many numbers you need. Then subtract 1 to get 24, add 1 to get 26, and also use 25.
What is the value of X?
Answers
Answer: It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable
LOOK AT THE IMAGE!!!!!
Answers
Answer:
a. 3/10
b. 1/10
c. 4/10 or 2/5
Step-by-step explanation:
There is 4 brown, 3 green, 2 red, and 1 purple if you add those all up you get 10. Since there is a total of 10 marbles in the bag and 3 of those are green 3/10 of the marbles are green. Same goes with purple, 1 of the 10 marbles in the bag is purple.
To solve for green and purple you must add them. Since there is 3 green and 1 purple that gives you 4. 4 out of 10 marbles are green or purple. 4/10 can also be simplified to 2/5
May I please receive help?
Answers
Answer:
24°
Step-by-step explanation:
(4y-4)+(180-52)+3y = 180°
4y-4+128+3y = 180
7y+124 = 180
7y = 56
y = 8
SO ∠x = 3y
∠x = 3(8)
∠x = 24
Answer:
24
Step-by-step explanation:
to find the measure of angle X we must first find y
An exterior angle of a triangle is equal to the sum of the opposite interior angle
angle wyz is an exterior angle and the opposite interior angles are w and x
this means that angle wyz = angle w + angle X
if angle wyz = 52 , angle X = 3y and angle w = 4y-4 then 52 = 3y + 4y - 4
note that we just created an equation that we can use to solve for y
we now solve for y using the equation we just created
52 = 3y + 4y - 4
combine like terms
52 = 7y - 4
add 4 to both sides
56 = 7y
divide both sides by 7
we're left with y = 8
Now to find the measure of angle X we simply plug in the value of y into 3y because angle X = 3y
angle X = 3y
y = 8
angle X = 3(8)
multiply 3 and 8 to get 24
angle X = 24
and we are done!
what is 174 divided by 74
Answers
Answer:
2.35
Step-by-step explanation:
Answer:
2.35
Step-by-step explanation:
I hope this helps you!
Mike makes and sells skateboards. If he has a cost of $6,200 per year plus a cost of $15 per skateboard, how many skateboards must he sell in order to make a profit if each skateboard sells for $35?
Answers
Answer: 310
Step-by-step explanation:
35-15= 20
6200 / 20 = 310
Answer:310
Step-by-step explanation:divide 6200 by 20 and it gives you 310
Work out m and c for the line:3x + 2y−1 =0
please help quickly
Answers
Answer:
m=-1.5 and c=0.5
Step-by-step explanation:
3x+2y-1=0
divide everything by 2, to get y.
3x/2=1.5x, -1/2=-0.5.
then separate 1.5x and -0.5 from y (put them on the other side)
there, y=-1.5x+0.5
m=-1.5, and c=0.5
what is the standard deviation of 77, 45, 72, 56, 98, 60, 70, 89, 50, 80, 95, 70, 34, 77, 65, 70, 70, 82, 86, 86.
What percentage of the scores are within one standard deviation of the mean (±1)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.
What percentage of the scores are within two standard deviations of the mean (±2)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.
Does this data fit the model of a normal distribution? Why or why not?
Answers
Standard deviation of the numbers is 16.154.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given observations are
77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86
Average or mean of the data is
x=Sum of n values/ Total number of values
x=1432/20=71.6
The Standard deviation of the data is
[tex]\sigma=\sqrt{\frac{\sum(x-mean)^{2}}{n} }[/tex]
=√5218.8/20
=√260.94
=16.154
Hence, standard deviation of the numbers is 16.154.
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