Whenever we have been given to find the product of two square roots, the two roots cancel out each other. This is because [tex] (\sqrt{number} )^2 = number [/tex]
The power of two and the square root cancel out each other
In the given problem we have to multiply the square root 10 by itself, we have
[tex] \sqrt{10} * \sqrt{10} [/tex]
Now, the next step will be
[tex] (\sqrt{10})^2 [/tex]
Now the square root and the power of 2 cancel each other an d the result will be 10
Answer : 10
all I drink 3/4 of a 16 fluid ounce bottle of juice how many fluid ounces of juice are left in the bottle
12+5v=2v-9 please show step by step!
To get it, combine like terms and restrain the variable. Segregating both sides by 3 gives the solution to the equation as v = -7.
How to solve the expressionTo solve the condition 12 + 5v = 2v - 9, take after these steps:
Step 1: Segregate the variable terms on one side of the condition and the steady terms on the other side.
Subtract 2v from both sides to move the variable term to the cleared outside:
12 + 5v - 2v = 2v - 9 - 2v
Alter both sides of the condition:
12 + 3v = -9
Step 2: Separate the variable term by moving the reliable term to the other side.
Subtract 12 from both sides to move the dependable term to the proper side:
12 + 3v - 12 = -9 - 12
Unwind both sides of the condition:
3v = -21
Step 3: Light up for v by confining both sides of the condition by the coefficient of v, which is 3.
Portion by 3 to clarify for v:
v = -21 / 3
Streamline the division:
v = -7
The solution to the equation is v = -7.
Learn more about expression here:
https://brainly.com/question/1859113
#SPJ6
Factor completely 56a2b3 − 35ab.
7ab(8ab2 − 5)
7a(8b2 − 5ab)
Prime
7a(8ab3 − 5b)
Answer:
7 ab ( 8 ab² - 5 ) .
Step-by-step explanation:
Given : 56 a²b³ − 35 ab.
To find : Factor completely.
Solution : We have given 56 a²b³ − 35 ab.
Taking 7ab common form both terms .
7 ab ( 8 ab² - 5 ) .
Therefore, 7 ab ( 8 ab² - 5 ) .
The equation of a circle is (x−2)^2+(y−16)^2=169 . What is the circle's radius?
Marko is buying carpet for his bedroom floor. His room measures 13 feet by 12 feet. How many square feet of carpet will Marko need to cover the floor in his room?
Answer: 156 square feet of carpet would be needed to cover the floor in his room.
Step-by-step explanation:
Since we have given that
Dimensions of his room as follows :
Length of his room = 13 feet
Width of his room = 12 feet
We need to find the square feet of carpet which is used to cover the floor of his room.
so, we just need to find the area of his room.
Area of rectangle = Length × Breadth
So, Area of his room becomes
[tex]13\times 12\\\\=156\ sq.\ feet[/tex]
Hence, 156 square feet of carpet would be needed to cover the floor in his room.
please help me with this if you can
how do I do this question 4x-2=6
each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate?
We have that for the Question "each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate?" it can be said that each boy ate
Pt=3.333pizzaFrom the question we are told
each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate? total amount of pizza the boys ateGenerally the equation for the total amount of pizza the boys ate is mathematically given as
Pt=N*Ratio
Therefore
Pt=5*2/3
Pt=3.333pizza
For more information on this visit
https://brainly.com/question/19007362
Find the midpoint of the segment with the given endpoints. P(–2, 1) and Q(–3, 2)
Answer:
(-5/2, 3/2)
Step-by-step explanation:
The midpoint is the average of the coordinates of the endpoints:
(P +Q)/2 = ((-2, 1) +(-3, 2))/2 = (-2-3, 1+2)/2 = (-5/2, 3/2)
You are traveling to Chicago for a job interview. You leave Toledo, Ohio, at 5:45 A.M. and arrive in Elkhart, Indiana, at 8:15 A.M.. The distance from Toledo to Elkhart is 136 miles; the distance from Toledo to Chicago is 244 miles. The speed limit is 65 mph. What is the minimum speed you must maintain in order to arrive in Chicago before 10:30 A.M.
Find the length and width of a rectangle that has the given area and a minimum perimeter. area: a square centimeters
Marcus baked a loaf of banana bread for a party. He cut the loaf into equal size pieces. At the end of the party, there 6 pieces left. Explain how you can find the number of pieces in the whole loaf if Marcus told you that 1/3 of the loaf was left.
Today a clothing store took 30% off the price of a dress, and for the next 3 days, it will take 30% off the previous day's price. If the price of the dress yesterday was $300.00, what will be the price of the dress 3 days from now?
Answer:72.03
Step-by-step explanation:
Which summation formula represents the series below?
13 + 9 + 5 + 1
The sum of the series is 28.
The series 13 + 9 + 5 + 1 is an arithmetic series with a common difference of -4. To express this in summation (sigma) notation and find its sum, we first identify the first term (a1) as 13 and the common difference (d) as -4.
Next, we determine the number of terms (n). The series decreases by 4 each time, so we find the number of steps it takes to go from 13 to 1, which are 4 terms in total (13, 9, 5, 1).
We can write the summation formula for an arithmetic series as Sn = n/2 * (2a1 + (n-1)d), where Sn is the sum of the first n terms. With n = 4, a1 = 13, and d = -4, we plug these into the formula:
S4 = 4/2 * (2(13) + (4-1)(-4))
S4 = 2 * (26 - 12)
S4 = 2 * 14
S4 = 28
The sum of the series is 28.
Each square is one square meter
HURRY PLEASE ITS TIMED
In the year 2000, Franklintown had a population of 30,000 people. Its population had decreased by 3% each year since then. Part A: Can this situation be modeled by an exponential decay function, an exponential growth function, or neither? Explain. Part B: If the population continues to decrease at the same rate, what would you expect the approximate population to be in 2016? Show your work.
a player gets to throw 4 darts at the target shown. Assuming the player will always hit the target, the probability of hitting an odd number three times is *blank* times more than the probability of hitting an even number 3 times
Answer: The probability of hitting an odd number three times is [tex]3\dfrac{3}{8}[/tex] times more than the probability of hitting an even number 3 times.
Step-by-step explanation:
From the given picture , the total total number of sections in the spinner = 5
Sections having Odd numbers = 3
Sections having Even numbers =2
We know that , [tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
So , probability of hitting an odd number = [tex]\dfrac{3}{5}[/tex]
Probability of hitting an even number = [tex]\dfrac{2}{5}[/tex]
Since all events are independent of each other ,
So , probability of hitting an odd number three times = [tex](\dfrac{3}{5})^3=\dfrac{27}{125}[/tex]
Probability of hitting an even number three times = [tex](\dfrac{2}{5})^3=\dfrac{8}{125}[/tex]
Divide [tex]\dfrac{27}{125}[/tex] by [tex]\dfrac{8}{125}[/tex] , we get
[tex]\dfrac{27}{125}\div\dfrac{8}{125}\\\\=\dfrac{27}{125}\times\dfrac{125}{8}=\dfrac{27}{8}=3\dfrac{3}{8}[/tex]
Hence, the probability of hitting an odd number three times is [tex]3\dfrac{3}{8}[/tex] times more than the probability of hitting an even number 3 times.
Answer:
3.375
Step-by-step explanation:
Circle 1 is centered at (5,8) and has a radius of 8 cm. Circle 2 is centered at (1,-2) and has a radius of 4cm. The circles are similar because you can translate circle 1using the transformation rule (___,___) and then dialate it using a scale factor of (___).
Sam and Brett share £54 in the ratio of 5:4 how much does each person get
One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of the crackers?
The amount of calories that are in 6 grams of crackers is 30 grams.
What is the amount of calories in the crackers?Division is the mathematical operation that is used to determine the quotient of a number. It is the process of grouping a number into equal parts using another number.
Calories in 6 grams = (150 / 30) x 6 = 30 grams
To learn more about division, please check: https://brainly.com/question/13281206
#SPJ2
Final answer:
To find the calories in 6 grams of Mike's crackers, divide the total calories by the total mass of one serving to get the unit rate (5 calories/gram) and then multiply by the mass in question (6 grams) to obtain 30 calories.
Explanation:
The question asks how many calories are in 6 grams of Mike's crackers, given that one serving of 30 grams has 150 calories. To find the calories in 6 grams of the crackers, we can use unit rate and proportions.
Step-by-Step Calculation
First, determine the calories per gram of the crackers by dividing the total calories by the total mass (in grams) of one serving. This gives us the unit rate: 150 calories / 30 grams = 5 calories per gram.
Next, since we're asked about the calories in 6 grams, we multiply the calories per gram (unit rate) by the mass: 5 calories/gram × 6 grams = 30 calories.
Therefore, there are 30 calories in 6 grams of Mike's crackers. This calculation illustrates the utility of understanding proportions and unit rates in everyday applications such as determining caloric intake from portions of food.
if 12 1/2% of a sum of money is $40 what is the total sum of money?
The total sum of money will be $320.
Let the total sum of money be represented by x.
Based on the information given, the equation to solve the question will be:
12 1/2% × x = 40
0.125x = 40
Divide by 0.125
x = 40/0.125.
x = 320
Therefore, the total sum of money will be $320.
Read related link on:
https://brainly.com/question/2805223
what is the domain and range of
y=-2(x-3)(x+4)
hey can you please help me posted picture of question
hello can you please help me posted picture of question
the width of a rectangle is shown below:
PLZ HELP ASAP CIRCLES
if you flip a coin four times what is the probability of flipping tails four times
hey can you please help me posted picture of question
A triangle has interior angles measuring 40 and 52. Which triangle are similar to this triangle? select true or false for each triangle.
simplify leaving your answer with positive exponents.