The real square root of the number 0.49 is 0.7
0.49 can also be presented as, 49* [tex]10^{-4}[/tex]
The square root of 49* [tex]10^{-2}[/tex]
= [tex]\sqrt{49}[/tex] * [tex]\sqrt{10} ^{-2}[/tex]
= 7 * [tex]10^{-2}[/tex]
=0.7
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What is the simplified form of each expression?
c. 3¹/² . 12¹/²
Fractions are in their simplest form when they have no common divisors other than 1 at their top and bottom. That is, the top and bottom cannot be divided further and remain integers.
You may also hear the simplest form called "lowest term".
In preferred, an expression is in only form while it's far easiest to use not unusual methods to help you simplify:
Combine Like termsFactoringincreasing (the opposite of factoring)clean out fractions by multiplyingrecognizing a pattern you have seen earlier than, just like the difference of squares3^(1/2) 12^(1/2)
Simplify the following:
sqrt(3) * sqrt(12)
sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):
sqrt(3)×2 sqrt(3)
sqrt(3)×2 sqrt(3) = 3×2:
3×2
3×2 = 6:
Answer:
6
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Evaluate each expression for x=-2,0 , and 2 .
-(3)⁰.⁵x}
The result of the expression -(3)⁰.⁵x for x = -2 is 3.4, for x = 0 is 0 and for x = 2 is - 3.4
The question states to evaluate the given expression, that is, -(3) ⁰.⁵ x for the given values of x, that are, x = -2, x = 0, and x = 2.
This question can be easily solved by using the concept of substitution. We have to substitute the given values of x in the given expression one after the other and note the answer.
For x = -2.
we get, -(3) ⁰.⁵ ( - 2) = - 1.7 * (-2) = 3.4
For x = 0.
we get, -(3) ⁰.⁵ ( 0 ) = - 1.7 * ( 0 ) = 0
For x = 2.
we get, -(3) ⁰.⁵ ( 2 ) = - 1.7 * ( 2 ) = - 3.4
Therefore, we get the result of the expression -(3)⁰.⁵ x for x = -2 as 3.4, for x = 0 as 0 and for x = 2 as - 3.4
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Choose the phrase that best completes the sentence.
When you take the square root of 11, the result is neither a terminating nor a repeating decimal. Therefore, it is-
1. an integer
2. irrational number
3. rational number
4. an odd number
When you take the square root of 11, the result is neither a terminating nor a repeating decimal. Therefore, it is: 2. irrational number.
The types of numbers.In Mathematics, there are six (6) common types of numbers and these include the following:
Natural (counting) numbersWhole numbersRational numbersIrrational numbersReal numbersIntegersWhat is an irrational number?An irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 11.
In conclusion, when you take the square root of 11, the result is neither a terminating nor a repeating decimal. Therefore, it is an irrational number.
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ROSIE IS MY FAVORITE DOG
Answer:
A. Shawn's Poster
Step-by-step explanation:
It uses perimeter, and the formula is L*W.
Christie hiked 1/4 and Jackie hiked 3/5 MORE. More means Subtraction so it would be [tex]\frac{3}{5} -\frac{1}{4}[/tex]
Same thing for the other two. They represent subtraction because of their keywords. Here is a list below of what you need to look for, for each control (+,-,x,÷)
Hope this helps
~R3VO
Find 65% of 300 kilometers.
Answer: 195
Step-by-step explanation:
65%=65/100
300 * 65/100=
300 * 6.5/10=
300 * 13/20=
3900/20=
390/2=195
brainliest +40 points!! help
What values of x and y satisfy the system of equations {x=−2y+13x+8y=11?
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475), enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
Answer: Y= -2/-18 or Y= 0.1111X=-2(-0.1111) +1or X=0.77778
Step-by-step explanation:
Can someone please help me with this??
The equation of the circle with center at (-1, 5) and passes through the point (2, 9) is equal to (x + 1)² + (y - 5)² = 25.
The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center.r represents the radius of a circle.Next, we would determine the length of the radius (r) by using the distance formula. Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Substituting the given parameters into the formula, we have;
Radius = √[(2 - (-1))² + (9 - 5)²]
Radius = √[(2 + 1)² + (4)²]
Radius = √[3² + 4²]
Radius = √[9 + 16]
Radius = √25
Radius = 5 units.
For the equation of a circle, we have:
(x - h)² + (y - k)² = r²
(x - (-1))² + (y - 5)² = 25
(x + 1)² + (y - 5)² = 25
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Complete Question:
Write the equation of the circle with center at (-1, 5) and passes through the point (2, 9).
. Vocabulary How do you find the multiplicative inverse of
a number? Give an example of a number and its multiplicative
inverse.
The multiplicative inverse of a number is a number that when multiplied by the original number gives the product as 1. The multiplicative inverse of 'a' is denoted by a-1 or 1/a. In other words, when the product of two numbers is 1, they are said to be multiplicative inverses of each other. The multiplicative inverse of a number is defined as the division of 1 by that number. It is also called the reciprocal of the number. The multiplicative inverse formula says that the product of a number and its reciprocal is 1.
There are various types of numbers like natural numbers, fractions, unit fractions, negative numbers, etc. Let us understand the multiplicative inverse formula for each type of number.
Natural numbers are counting numbers starting from 1. The multiplicative inverse of a natural number a is 1/a.
Multiplicative Inverse of Integers
Finding the multiplicative inverse of positive integers is the same as natural numbers (explained above). Just like positive integers, the product of a negative number and its reciprocal must be equal to 1. Thus, the multiplicative inverse of any negative number is its reciprocal. For example, (-6) × (-1/6) = 1, therefore, the multiplicative inverse of -6 is -1/6. Note that the multiplicative inverse of a negative number is always negative. And, in the multiplicative inverse of a negative integer, the negative sign will attach to the numerator, and not with the denominator.
How to Find Multiplicative Inverse of a number :
The multiplicative inverse of a number is also known as its reciprocal. It is very easy to find the multiplicative inverse of a number using the following steps:
Step 1: Divide the given number by 1.
Step 2: Write it in the form of a fraction. Say, the reciprocal of a is 1/a.
Step 3: Simplify and get the answer.
Let us find the multiplicative inverse of 2/3. The first step is to divide it by 1, which will result in 1/(2/3) = 3/2. Therefore, the reciprocal of 2/3 is 3/2.
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can y’all please help me figure out what this problem is g=6x, for x
Answer:
x=g/6
Step-by-step explanation:
because if u do the inverse of multiplication which is division on both sides it gives u that and solves for x
You put 7 tiles with the letters A through G into a bag. You reach in without looking and
pull out 3 tiles and place them in a row. What is the probability that they spell BAG?
Express your answer as a decimal rounded to the nearest thousandth.
Having 7 tiles named A to G in a bag and picking 3 of them have the probability that they'll spell BAG is 0.0050.
What is probability ?Probability is the chance of occurring a certain event out of the total possible events that can occur in a given scenario.
According to the given question you put 7 tiles with the letters A through G into a bag.
Total no. of sample space N(S) = 7.
∴ The probability of getting getting B named tile P(B) is = 1/7.
Now as we are not replacing the tiles there are 6 tiles now so probability of getting A named tile P(A) = 1/6 and in the same way probability of getting G named tile is P(G) = 1/5.
∴ The probability that they will spell BAG P(BAG) is = (1/7)×(1/6)×(1/5) = 0.0050.
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Rebecca collected data and told you that her sample mean was 56 and her sample median was 64. She then draws a histogram based on her data and asks you to guess the shape of it without looking. What would the most likely shape be for her histogram?.
Rebeeca’s histogram most likely shape will be Skewed to the left.
The histogram shows a symmetrical data distribution. A distribution is symmetrical if a vertical line can be drawn at any point in the histogram such that the shapes to the left and right of the vertical line are mirror copies of each other.
The mean and the median both reflect the skewing, but the mean reflects it more so. This is because the mean and median are measures of central tendency. Because in Rebecca’s data the mean is smaller compared to the median, it makes the histogram skewed to the left. If the median were to be smaller than the mean, it would be skewed to the right.
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A box of breakfast cereal contains 432 grams and 16 servings. How many grams are in one serving?
one serving is 432/19=27
27g are in one serving
6. The table shows the volume of water in
cubic meters, V, in a tank after water has
been pumped out for a certain number of
minutes.
Which equation could represent the
volume of water in cubic meters after t
minutes of water being pumped out?
A. V = 30-2.5t
B. V = 30-0.5t
C. V = 30-0.51²
D. V = 30-0.11²
The correct option is D. V = 30-0.1t² ; represents the the volume of water in m³ after t minutes of pumping.
What is defined as the volume of water?Volume is a measurement of how much space an object occupies. Whenever a cylinder is immersed in water, it pushes water away. The volume of water pushed out of way can be calculated by measuring the amount this same water level rises.For the given question;
The values for the time of pumping and the volume of water is given;
use them to find the equation which represents their relation.
when, time t = 5
put the values in the options.
a. V = 30 - 2.5 × 5 = 17.5 .....(wrong)
b. V=30 - 0.5 × 5 = 27.5 .....(correct)
c. V = 30 - 0.5 × 25 = 17.5 ......(wrong)
d. V = 30 - 0.1 × 25 = 27.5 ........(correct)
Now, check at time t = 10 just for the correct value.
b. V = 30 - 0.5 × 10 = 25 .....incorrect
d. V = 30 - 0.1 × 100 = 20 ......correct
Therefore, the relation of the water pumped with time is given by the relation; V = 30-0.1t².
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The complete question is-
The table shows the volume of water in cubic meters, V, in a tank after water has been pumped out for a certain number of minutes.
Which equation could represent the volume of water in cubic meters after t minutes of water being pumped out?
A. V = 30-2.5t
B. V = 30-0.5t
C. V = 30-0.5t²
D. V = 30-0.1t²
Damian has 2 rolls of ribbon. He has 63 m of pink ribbon and 105 m of green ribbon. He wants to cut all of the ribbon into smaller pieces of equal length, with no ribbon left over. Work out the greatest possible length that Damian could make the smaller pieces of ribbon. Give your answer in metres (m).
Damian should cut the ribbons into pieces of 21 meters.
What is the largest length in which Damian could cut the ribbon?
To answer this, we need to find the maximum common factor between the two lengths of ribbon, which are 63 and 105.
If we rewrite both of these numbers as a product between prime factors we get.
63 = 3*3*7
105 = 3*5*7
Then the maximum common factor between these two numbers is 3*7 = 21
Then we conclude that Damian should cut the ribbons into pieces of 21 meters.
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A teacher divides 36 students into equal groups for a scavenger hunt. Each group should have atleast 4 students but no more than 8 students. What are the possible group sizes?
Answer:
Step-by-step explanation:
Group of six
Write each expression as a single natural logarithm. ln 24- ln 6
Expression as a single natural logarithm is 1.38629436112
What is natural logarithm?ln 24- ln 6
ln(24/6)
ln 4 = 1.38629436112
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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Let u= (-1,3), v=(2 , 4) , and w=(2,-5) . Find the component forms of the following vectors. (3/2)v
Given u = (-1, 3), v = ( 2, 4) , and w = (2, -5), by applying scalar multiplication of vectors, ³/₂ v = (3, 6)
In the 2D coordinate system, vectors can be split into x-component and y-component.
We can write, for example, a vector s = (4,–1), which means:
x-component = 4
y-component = –1
Some vector operations:
Addition / subtraction of vectors: Just add or subtract the corresponding components.In the given problem:
u = (-1, 3), v = ( 2, 4) , and w = (2, -5)
Then,
³/₂ v = ³/₂ . (2, 4)
= ( ³/₂ . 2, ³/₂ . 4)
=(3, 6)
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eighty students are going on a field trip to a history museum. The total cost includes 2 bus rentals and $10 per student for lunch. Write and evaluate a numerical expression to find the total cost per student for the field trip.
Kari has a mass of thirty-eight and
ninety-seven hundredths kilograms.
What is her mass in standard form?
Answer:
38.97 kilograms
Step-by-step explanation:
38 ones and 97 hundredths
38 0.97
38.97
Two lines are parallel, and one line has a slope of 6. What is the slope of the other line ?
Answer:
Parallel lines have the same slope, so the slope of the other line is also 1/6
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the other line is also 1/6
Which expression represents another method of computing the product given below?
-1.45*76
A.
(-1)((1 × 76) + (0.45 × 76))
B.
(-1)(-1.45 - 76)
C.
(-1)(-1.45 + 76)
D.
(-1)(-1.45 × 76)
The value expression represents another method of computing the product given
Thus option A. (-1)((1 × 76) + (0.45 × 76)) has value -110.2 . So it is correct option.
-1.45*76 =-110.2
Now checking all the option one by one if any option has the value -110.2
then it is correct
A. (-1)((1 × 76) + (0.45 × 76))
(-1)(76 + 34.2)
=-110.2
B. (-1)(-1.45 - 76)
(-1)(-77.5)
= 77.5
C. (-1)(-1.45 + 76)
(-1)(74.5)
= -74.5
D. (-1)(-1.45 × 76)
(-1)(-110.2)
= 110.2
Thus option A. (-1)((1 × 76) + (0.45 × 76)) has value -110.2 . So it is correct option.
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If anyone does this I will give 25 points and rate u on the thing please help me I have a hour until it’s due
Answer:
x=-9 , x=-8 , x=15 , x=-13 , x=3 , x=-4 , x=5 , x=6 , x=-24 , x=-7 , x=-16
Step-by-step explanation:
Find the inverse of each function. Is the inverse a function? f(x)=∛x/3
The inverse for the function f (x) = ∛x / 3 will be f ⁻¹ (x) = 3 x³.
We are given the function:
f (x) = ∛x / 3
we need to find the inverse of the function.
First we will write the function in the form of x.
y = ∛x / 3
y³ = x / 3
3 y³ = x
x = 3 y³
So, the inverse function will be:
f ⁻¹ (x) = 3 x³
Therefore, the inverse for the function f (x) = ∛x / 3 will be f ⁻¹ (x) = 3 x³.
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-4|6b-8|<12 pls help so confused
Answer:
b > 5/6 or b < 11/6
Step-by-step explanation:
1. Divide both sides by -4
[tex]\dfrac{-4(|6b-8|)}{-4} < \dfrac{12}{-4}[/tex]
2. Simplify above
[tex]|6b-8| > -3[/tex]
3. The absolute value of an expression means that the expression can be positive or negative
Here | | represents the absolute value of 6b-8
For an absolute value to satisfy the above inequality
either 6b - 8 > -3 or 6b - 8 < - (-3)
(This follows from the fact that if |x| > -a, x > -a
or x < -(-a) ) which is the same as x < a
First case: 6b - 8 > -3:
6b - 8 + 8 > -3 + 8 ( Add 8 to both sides)
==> 6b > 5
==> 6b/6 > 5/6 (Divide both sides by 6)
==> b > 5/6
Second case: 6b - 8 < 3
6b −8 + 8 <3 + 8 (Add 8 to both sides)
==> 6b<11
==> 6b/6 < 11/6 (Divide both sides by 6)
==> b < 11/6
Evaluate 1.2(3x+2y) if x=4 and y=-4
Answer:
24
Step-by-step explanation:
1.2(3x+2y)
add in our X and Y number
1.2(3(4) + 2(4))
Do the multiplication
1.2(12 + 8)
Distribute 1.2
14.4 + 9.6
add them together and you get
24
Please help! Ty very much!
How many different possible outcomes are there if you spin 3 spinners labeled Red, Blue, Yellow?
The number of possible outcomes are 6 if we have 3 spinners labeled Red, Blue, Yellow by using permutations.
There are 3 spinners:
Red
Blue
and yellow.
Number of possible outcomes will be calculated by using permutation.
So, we get that:
Number of possible outcomes = 3 × 2
Number of possible outcomes = 6 ways.
Therefore, the number of possible outcomes are 6 if we have 3 spinners labeled Red, Blue, Yellow by using permutations.
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PLEASE HELP BRO ITS THE LAST QUESTION FROM MY HOMEWORK
Answer:7
Step-by-step explanation:
just gotta add it up all good
Answer:
7
Step-by-step explanation:
Multiply.
(−56)⋅58
What is the product?
Enter your answer, as a fraction, in the box.
Answer:
the answer for this question is -3,248
(f) Belinda buys a flat screen plasma television costing R20 000 on hire purchase. She traded in an old television for R3 000 and paid a deposit of R 2000. The balance was paid by means of monthly instalments of R900 over two years. Calculate the total simple interest paid and the rate of simple interest.
The total simple interest paid by her is R6,600 and the rate of simple interest is 22%.
Given that
Belinda buys a flat screen plasma television costing R20 000 on hire purchase.She traded in an old television for R3 000 and paid a deposit of R 2000.The balance was paid by means of monthly instalments of R900 over two years.To find
Simple interest paid and Rate of simple interest.So, according to the question
We have,
Cost of television = R20,000 Selling price of old television = R3,000Deposit by her = R 2,000.After trading in and depositing, the balance was as follows:
= Cost of television - Selling price of old television - Deposit by her
= 20,000 - 3,000 - 2,000
= R15,000
The total simple interest paid by her in 2 years:
= (900 x 2 x 12months) - 15,000
= R6,600
The rate of simple interest given by her in 2 years:
= (6,600 / 2 years) / 15,000
= 22%
The total simple interest paid by her is R6,600 and the rate of simple interest is 22%.
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