Answer:
Hey there! So the square root of 38 can be simplified by breaking it down into simpler parts. We can use a technique called prime factorization. We need to find the largest perfect square that is a factor of 38 and extract it from the square root. So, we can express 38 as 219 and that means we have 2^2=4 as the largest perfect square. Therefore, we can simplify the square root of 38 as 2sqrt(19).
It can't be simplified anymore, but it gives us a more manageable form. Let me know if you have any more questions, I'm happy to help!
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How can you determine if a number is a perfect square?A perfect square is a number that can be written in the form of n^2 (n raised to the power of 2) for some whole number n. For example 4, 9, 16, 25 and 36 are perfect squares. A way to determine if a number is a perfect square is by taking the square root of that number, if the result is a whole number it's a perfect square. Also, you can check it by finding the prime factorization of the number, if each of the prime factors appears in even power, it's a perfect square.
Are there any shortcuts for simplifying square roots?There are a few techniques that can make simplifying square roots quicker and easier:
Recognizing perfect squares (as described above) and extracting them from the square root
Using prime factorization to simplify the square root
Recognizing when the square root can be written as a rational number (a fraction of two integers)
Another way to approach is to factorise the radicand and combine any pairs of identical factors out from the square root.
Please let me know if you have any other questions on this topic or any other topic I could help with.
√38 is the simplest representation of the square root of 38.
The square root of a number is a value that, when multiplied by itself, gives the original number.
In the case of √38, we are looking for a number that, when multiplied by itself, equals 38.
Since 6 multiplied by itself is 36 and 7 multiplied by itself is 49, we can conclude that the square root of 38 lies between 6 and 7.
We cannot find a whole number that satisfies the equation √38 = x, where x is an integer.
Therefore, we express the square root of 38 as an irrational number, meaning it cannot be expressed as a simple fraction or a terminating or repeating decimal.
Hence, √38 is the simplest representation of the square root of 38.
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the ratio of dogs to cats is 1 dog to 2 cats. which of the following is a way to write this ratio? please help me!!
WILL GIVE BRAINLIEST + 5 STAR
x=
Length=
Width=
Answer:
16
14
8
Step-by-step explanation:
A marketing research company desires to know the mean consumption of meat per week among males over age 50. They believe that the meat consumption has a
mean of 3.5 pounds, and want to construct a 95 % confidence interval with a maximum error of 0.08 pounds. Assuming a standard deviation of 0.6 pounds, what is
the minimum number of males over age 50 they must include in their sample? Round your answer up to the next integer.
Answer:
we get a required sample size of 122.
Step-by-step explanation:
We can use the following formula to calculate the required sample size:
n = (Z * sigma / e)^2
where:
n is the required sample size
Z is the z-score corresponding to the desired confidence level (e.g. for a 95% confidence level, Z = 1.96)
sigma is the standard deviation of the population
e is the maximum error allowed
Plugging in the given values, we get:
n = (1.96 * 0.6 / 0.08)^2 = 121.6
Rounding up to the next integer, we get a required sample size of 122.
SOMEBODY PLEASE GIVE ME THE ANSWERS! I AM GIVING AWAY A LOT OF POINTS!
A quarter equals 0.25
You want to multipole the number of quarters you have by 0.25 to get the total value.
The equation would be V = 0.25n
The output would be V which is the dollar value of the number of quarters you have.
The independent value would be the input value (n) which is the number of quarters you have.
A triangle has an angle that measures 115°. The other two angles are in a ratio of 6:7. What are the measures of those two angles?
Answer:
30° ; 35°
Step-by-step explanation:
Recall:
Sum of angles in a triangle = 180°
One of the 3 angles = 115
The sum of the other 2 Angles will be :
(180 - 115) = 65°
The other two angles are in the ratio 6:7
Hence,
Each of the two angles can be calculated thus :
Angle 2 :
Sum of ratio = 6 + 7 = 13
(6 / 13) * 65 = 30°
Second angle :
(7 / 13) * 65 = 35°
What does a 30 60 90 triangle look like?
The 30-60-90 triangle is shaped like half of an equilateral triangle.
A special right triangle with angles 30°, 60°, and 90° is called a 30-60-90 triangle. Since 30° is the smallest angle in the triangle, the side opposite to the 30° angle is always the smallest.
The side opposite to the 60° angle is the longer leg, and finally, the side opposite to the 90° angle is the largest side of the right triangle, also known as the hypotenuse.
30°-60°-90° Triangle Rule:
In a 30-60-90 triangle, we can find the measure of any of the three sides by knowing the measure of at least one side in the triangle. This is known as the 30-60-90 triangle rule.
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A solution of 60 quarts of sugar and water is 20% sugar. How much water must be added to make a solution that is 5% sugar
On solving the provided question we can say that by equation 180 water must be added to make a solution that is 5% sugar
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
here, the equation is -
1200=300+5x
900 = 5x
x=180
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What are the factors of 2x^2 7x 3?
The factors of 2[tex]x^{2}[/tex] + 7x + 3 are ( x + 3) and (2x + 1)
Now, According to the question:
The given function is :
f(x) = [tex]2x^2+7x+3[/tex]
To find the factors of [tex]2x^2+7x+3[/tex] we need to split the middle term, that is, 7x.
7x = 6x + x
Therefore, 2[tex]x^{2}[/tex] + 7x+ 3 can be written as 2[tex]x^{2}[/tex] + 6x + x + 3 .
On taking '2x' common from first two terms and +1 from next two terms we get
2x (x + 3) +1 (x + 3)
(x + 3) (2x + 1)
Thus, the factors of 2x2 + 7x + 3 are (x+3) and (2x+1)
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The complete question is this:
What are the factors of 2x^2+7x +3?
In the figure below ∠B=63∘. What is the measure of arc DB in degrees? (4 points) 27 126 54 63
Answer:
54
Step-by-step explanation:
63 x 2 = 126
180 - 126 = 54
look at the screenshot, please. (no links)
Answer: 14
Step-by-step explanation: 18 x 14 = 252
Answer:
14
Step-by-step explanation:
recall that area of figure, A= length x. breadth
and A=252
and b=18
therefore, 252= 18b
l= 252/18
l= 14
therefore p= 14
Using the five digits 7, 7, 8, 8, and 8 once each, how many positive five-digit integers can be formed?
Answer:
There are 5 choices for the first digit, 5 choices for the second digit, 4 choices for the third digit, 3 choices for the fourth digit, and 2 choices for the fifth digit.
How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16 cm, the iron being 2 cm thick throughout? If 1 cubic cm of iron weighs 15 g. find the weight of the open box in kg
Need the answer for these
Answer:
Step-by-step explanation:
2A. 3x=6 ⇒ x=2
2B. 3n=2(n-3) ⇒ 3n=2n-6 ⇒ n= -6
1. cross multiplication method
In Ellen's math class, there were 2 boys to every 3 girls. Which of the following could be the ratio of girls to boys in the class? As a fraction
Answer:
A . 17/21
B . 14/21
C . 7/14
D. 11/17
Step-by-step explanation:
Answer:
Answer is B: 14 to 21
Step-by-step explanation:
The ratio "2 to 3" was multiplied by 7 to get this ratio. All the other following are incorrect.
EASY POINTS!! EASY POINTS!!
A factory ships sunglasses in boxes that each have the same number of sunglasses. The table shows the data for 4 shipments.
Which rate represents the relationship in the table?
A. 100 sunglasses per 4 boxes
B. 5 sunglasses per 125 boxes
C. 4 sunglasses per 100 boxes
D. 225 sunglasses per 8 boxes
NO LINKS OR FILES!!!
Answer:
A
Step-by-step explanation:
2 boxes has 50 glasses
times by 2 and its equal to A
Answer: A or B
Step-by-step explanation:
I have a 1 in the ones place, a 4 in the tens place, and a 5 in the hundreds place.
Answer:
541
Step-by-step explanation:
if you have a 1 in the ones place and a 4 in the tens place and a 5 in the hundreds place this will be your number
Write the word sentence as an equation. Then solve the equation.
9 is the difference of a number n and 7.
An equation that represents this word sentence is
The solution is n =
Answer:
see below
Step-by-step explanation:
9 is the difference of a number n and 7.
Let's break this down.
"is" represents the equal sign.
"the difference" represents subtraction.
9 = n - 7
Now let's solve the equation.
9 = n - 7
Add 7 to both sides.
16 = n
Hope this helps!
a) Write down the mathematical name of this shape.
what is the shape called
Answer:
What shape? i don't see no shape
Answer:
What shape? Can you add in a picture or something? That would be very helpful in trying to figure out what shape we're dealing with.
Over the closed interval [3,8] for which function can the extreme value theorem be applied?
Answer:
A
Step-by-step explanation:
The extreme value theorem can be applied on an interval if the function is continuous in the entire interval. Testing the continuity for each function, we get that the correct option is the third option.
Continuity:
A function f is continuous at an interval if all points in the interval are in the domain of the function, and, for each point of [tex]x^{\ast}[/tex], the limit exists and:
[tex]\lim_{x \rightarrow x^{\ast}} = f(x^{\ast})[/tex]
First function:
At [tex]x = 4[/tex], the denominator is 0, and so, the extreme value theorem cannot be applied.
Second function:
At [tex]x = 5[/tex], the denominator is 0, and so, the extreme value theorem cannot be applied.
Third function:
The only point there can be a discontinuity is at [tex]x = 4[/tex], where the definition of the function changes. First we have to find the lateral limits, and if they are equal, the limits exist:
To the left(-), it is less than 4, so we take the definition for x < 4.
To the right(+), it is more than 4, so we take the definition for x >= 4.
[tex]\lim_{x \rightarrow 4^{-}} h(x) = \lim_{x \rightarrow 4} \frac{9x}{10-x} = \frac{9*4}{10-4} = \frac{36}{6} = 6[/tex]
[tex]\lim_{x \rightarrow 4^{+}} h(x) = \lim_{x \rightarrow 4} x + 2 = 4 + 2 = 6[/tex]
The lateral limits are equal, so the limit exists, and it's value is 6.
The definition at [tex]x = 4[/tex] is [tex]h(x) = x + 2[/tex], so [tex]h(4) = 4 + 2 = 6[/tex].
Since [tex]\lim_{x \rightarrow 4} = h(4)[/tex], the function is continuous over the entire interval, and this is the correct answer.
Fourth function:
There can be a discontinuity at [tex]x = 5[/tex], so we test the limits:
[tex]\lim_{x \rightarrow 5^{-}} h(x) = \lim_{x \rightarrow 5} -x = -5[/tex]
[tex]\lim_{x \rightarrow 5^{+}} h(x) = \lim_{x \rightarrow 5} x^2 - 20 = 5^2 - 20 = 25 - 20 = 5[/tex]
Different limits, so the limit does not exist and the function is not continuous at [tex]x = 5[/tex], and the extreme value theorem cannot be applied.
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What’s the area of a square is all sides are 6 feet long?
Answer:
36 sq ft
Step-by-step explanation:
The area of a square is equal to the length of one side squared. Therefore, if all sides of a square are 6 feet long, the area of the square is 6 feet * 6 feet = 36 square feet.
Answer:
36
Step-by-step explanation:
you multiply just two of the sides hxw and you get your answer
3. How many groups 1/2 of days are in 1 week?
groups
Annie and Bonnie are running laps around a 400-meter oval track. They started together, but Annie has pulled ahead, because she runs 25% faster than Bonnie. How many laps will Annie have run when she first passes Bonnie
Bonnie will complete four laps before being passed by Annie because she runs an additional quarter lap for every lap she completes. This indicates that Annie and Bonnie are on an equal footing, and Annie must complete an additional lap to pass Bonnie. Annie will have completed five laps after that.
What unitary method examples are there?We can use the unitary method to calculate 100% of an amount. For instance, if 10% of the marbles in a pot are 35, then the total number of marbles in the pot will be 35 x 10%, or 350.
What circumstances allow us to use the unitary method in our daily lives?The unitary method can be used to calculate how many kilometres a car will travel on one litre of gas if it travels 44 km on two litres of fuel. In other words, the unitary method is the process by which we determine the value of a single unit and then use that information to determine the values of multiple units.
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i need help with this question?
Answer:
4.5π[tex]cm^2[/tex] will be your answer!
Step-by-step explanation:
Oki... So the area of a circle is radius x radius x π
So.....
Lemme find what the radius's are
4.5 ÷ 2 = 2.25
2.25 - 1.5 = 0.75
2.25 x 2.25 x π = 5.0625π
0.75 x 0.75 x π = 0.5625π
And subtract.
5.0625π - 0.5625π = 4.5π
HELP
Ps; i am only writing like this becase i need people to see this
Thanks dude!
Step-by-step explanation:
Can i have brainly?
u get brainliest if you anser first and is right if i get this wrong i fail pls help me
for 50 points
PLEASE I NEED HELP ASAPPPP!!!!!
The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October: A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Pumpkins and the x axis is labeled Days in October
Part A: Using computer software, a correlation coefficient of r = 0. 51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)
Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm. (5 points)
A situation where there might be a causal relationship could be the amount of fertilizer utilized in proportion to the kilograms of pumpkins harvested on the farm.
What is a Scatter Plot?A scatter plot with a trendline along which the data points are situated can be used to demonstrate the relationship between correlated variables.
Indicating a positive correlation is when the trendline slopes higher from left to right, while the opposite is true.
Part A:
The correlation coefficient of r = 0.51 is valid based on the provided scatter plot.
Part B:
The amount of fertilizer applied in connection to the kilograms of pumpkins harvested on the farm can be a scenario where a causal relationship exists.
Hence, A situation where there might be a causal relationship could be the amount of fertilizer utilized in proportion to the kilograms of pumpkins harvested on the farm.
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The length of an object in feet is equal to 3 times it's length in yards. The length of the boat is 36 feet. Write and solve a multiplication equation to find the length of the boat in yards
In linear equation ,The length of waterslide is 12 yards.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Given that,
The length of an object object in feet is equal to 3 times it’s length in yards
The length of wall water side slide is 36 feet
Let "y" be the length of object in yards
From given,
Length in feet = 3 times length in yards
36 = 3 * y
3y = 36
y = 36/3
y = 12
Thus length of waterslide is 12 yards.
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What is the value of p so that the line passing through (6, 2) and (10, p) has a slope
of -2?
Answer:
P = -6
Step-by-step explanation:
y2-y1 / x2-x1 = slope formula
p-2/10-6 =
p-2 over 4
P would be -6 since -6-2 = -8, and -8/4 = -2
Bought a board game for $30. The board game is now worth $55. Calculate the percent change in the game's value.
Sherane rolls a standard, six-sided number cube.
What is the probability of rolling a multiple of 3?