Answers
Answer:
Last choice. √14/√14
Step-by-step explanation:
Multiplying by the reciprocal of the denominator would "cancel" the denominator, but To rationalize the -√14, you have to multiply it by √14 and you need an equivalent of 1 to keep the terms equal. So the numerator and denominator have to be multiplied by the same thing.
Related Questions
Given y+2x+7, write an equation whose graph is shifted 3 units to the right. Thank you!
Answers
Answer:
y=2x+1
Step-by-step explanation:
To find the answer, first graph the equation and find coordinates for atleast 2 points. We can find (0,7) and (1,9). Next we add 3 to the x coordinate of each point. We get (3,7) and (4,9). We know the slope which is 2. So our equation becomes y=2x+b. Next we substitube a coordinate pair, with y and x in the equation. We get 7=2*3+b. Solve and we get 1=b.
Therefore,
y=2x+1.
I hope this helps.
A social scientist surveyed a random sample of male musicians at a university about their practice habits. The graph below displays the amount of time typically spent practicing their instrument daily.
Which of the following inferences can be made from the data?
Answers
Answer:
C
Step-by-step explanation:
male musicians practice an avg 2/hrs a day
The inferences can be made from the data on average, male musicians practice for two hours per day. Then the correct option is C.
What is a histogram?A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
A social scientist surveyed a random sample of male musicians at a university about their practice habits.
The graph below displays the amount of time typically spent practicing their instrument daily.
From the graph, we can conclude that on average, male musicians practice for two hours per day.
Then the correct option is C.
More about the histogram link is given below.
https://brainly.com/question/16819077
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HALP MY FRIEND NEEDS HELP AND ITS DUE TMRRRRRRR (ALSO 69 POINTS ;) PLS ANSWER QUICKLY For the positive integer n, let [n] denote the sum of all the positive divisors of n with the exception of n itself. For example, [4]=1+2=3 and [12]=1+2+3+4+6=16. What is [[[28]]]?
Answers
Answer:
40
Step-by-step explanation:
[tex][[[28]]][/tex]
If just take [tex][28]=1+2+4+7+12+14=40[/tex]
It is related to Mersenne prime, because 28 is a perfect number.
Answer: 28
Step-by-step explanation:
This is actually the correct answer: 28
If you do the process, you might see that [28] = 1+2+4+7+14 = 28,
So here ya go.
Select the correct answer. Solve the quadratic equation given below. (12x-27)²=256
Answers
Answer:
x=43/12 11/12
Step-by-step explanation:
sorry if this answer is wrong
01:58:01
The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
Save and Exit
Next
Submit
Answers
Answer:
Number of sides = 18
Step-by-step explanation:
Using the formula given below for this
=> [tex](n-2)*180 = measure of interior angles[/tex]
=> (n-2)*180 = 2880
Dividing both sides by 180
=> n-2 = 16
Now, Adding 2 to both sides, we get
=> n = 18
Answer:
20
Step-by-step explanation:
Determine the possible side lengths of the third side of a triangle with known side lengths of 5 and 8.
Answers
Answer:
Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
Jose earns $400 during the summer. He deposits it in an account that pays simple interest at a rate of 3% per year. Which equation can you use to find the amount of simple interest that Jose earns in 1 year?
Answers
Answer:
12
Step-by-step explanation:
Since this is simple interest the equation will be P*T*R=I T=time which is 1 year. P=money invested or borrowed (aka princable) which is 400$. R=Annual rate is 3% per year and I= Interest after the number of years (aka answer) Hope this helps :)
Answer:
I = 400 x 0.03 x 1
Step-by-step explanation:
$400 is the principal, 0.03 is the decimal value for the annual rate, and the time is 1 year.
Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it in fraction
form)
Answers
Answer:
9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch
Step-by-step explanation:
Diameter of reamed hole = 0.278 inch
Radius of reamed hole = [tex]\frac{0.278}{2} =0.139[/tex]
Surface area of reamed hole = [tex]\pi r^2[/tex]
Surface area of reamed hole = [tex]3.14 \times (0.139)^2[/tex]
Surface area of reamed hole = 0.06066794
Diameter of pin = [tex]\frac{9}{32}[/tex]
Radius of pin =[tex]\frac{9}{64}[/tex]
Surface area of pin = [tex]\pi r^2 = 3.14 \times ( \frac{9}{64})^2=0.0620[/tex]
Since the surface area of pin is more than the surface area of hole .
So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch
What is the vertex of the graph of the function below? y = x^2 - 4x + 3 A. (1, -1) B. (1, 0) C. (2, -1) D. (2, 0)
Answers
Answer: (1, 0)
Step-by-step explanation:
Just plug in the coordinates for x and y to see if the final answer has x and y equivalent.
(0) = (1)^2 - 4(1) + 3
0 = 1 - 4 + 3
0 = -3 + 3
0 = 0
Answer:
(2, -1)
Step-by-step explanation:
Ap3x
Given a* b=ab + 1, evaluate 4*((6*8)+(3*5)).
Answers
Answer:
a * b = ab + 1
First solve the ones in the bracket
4 * (( 6 * 8) + ( 3 + 5))
(6 * 8 ) = 6(8) + 1 = 48 + 1 = 49
(3 * 5) = 3(5) + 1 = 15 + 1 = 16
(6*8) + (3*5) = 49 + 16 = 65
So now
4 * 65 = 4(65) + 1 = 260 + 1 = 261
Therefore
4*((6*8)+(3*5)) = 261
Hope this helps.
There are 15 candidates for 4 job positions.
What is the total number of outcomes possible?
N
Answers
Answer:
32760 ways
Step-by-step explanation:
Given
Number of Candidates = 15
Job Positions = 4
Required:
Number of outcomes
This question represent selection; i.e. selecting candidates for job positions;
This question can be solved in any of the following two ways
Method 1.
The first candidate can be chosen from any of the 15 candidates
The second candidate can be chosen from any of the remaining 14 candidates
The third candidate can be chosen from any of the remaining 13 candidates
The fourth candidate can be chosen from any of the remaining 12 candidates
Total Possible Selection = 15 * 14 * 13 * 12
Total Possible Selection = 32760 ways
Method 2:
This can be solved using permutation method which goes thus;
[tex]nPr = \frac{n!}{(n-r)!}[/tex]
Where n = 15 and r = 4
So;
[tex]nPr = \frac{n!}{(n-r)!}[/tex] becomes
[tex]15P4 = \frac{15!}{(15-4)!}[/tex]
[tex]15P4 = \frac{15!}{11!}[/tex]
[tex]15P4 = \frac{15*14*13*12*11!}{11!}[/tex]
[tex]15P4 = 15*14*13*12[/tex]
[tex]15C4 = 32760[/tex]
Hence, there are 32760 ways
I am thinking of a number.
I multiply it by 11 and subtract 78.
I get the same answer if I multiply
by 6 and subtract 8.
What is my number?
Answers
Answer:
-278
Step-by-step explanation:
3 x 11 = 33
33 - 78 = -45
-45 x 6 = -270
-270 - 8 = -278
I think I might of did it wrong.... :C
Answer: The number is 14
Step-by-step explanation:
11x - 78 = 6x - 8
11x -6x = -8 + 78
5x = 70
x = 14
Apply the law of syllogism to write a new statement based on the following: A → B: If it rains, then football practice will be canceled. B → C: If football practice is canceled, then Patrick will go to the cinema. Question 4 options: A) A ↔ C: If will rain if and only if Patrick goes to the cinema. B) C → A: If Patrick goes to the cinema, then it will rain. C) A → C: If it rains, then Patrick will go to the cinema. D) ∼A → ∼B: If it doesn't rain, then football practice won't be canceled.
Answers
Answer:
C) A → C: If it rains, then Patrick will go to the cinema
Step-by-step explanation:
Syllogism refers to logical reasoning which can be derived from two or more premises. The syllogism is used in to draw inferences and judgement from the premises. These syllogisms are based on deductive reasoning and are used in everyday life.
In the given question, the statements have been provided A to B and B to C, therefore, the inference that could be concluded from the premises is if it rains, then Patrick will go to cinema because if it rains, then football match would be cancelled.
Thus, Option-C is the correct answer.
What is the solution to the system of equations?
y = x +3
X=-2
ㅇ(2)
ㅇ(25)
(2
7
13 1
Answers
Answer:
the solution is (-2, 1)
Step-by-step explanation:
In the first equation, substitute -2 for x. We get:
y = -2 + 3 = 1
So the solution is (-2, 1)
The solution of system of Equations is x= -2 and y= 1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation:
y= x+ 3
x= -2.
So, putting the values in equation in (1) we get
y = -2 + 3
y = 1.
Thus, the solution is x= -2 and y= 1.
Learn more about equation here:
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Which angles are corresponding angles check all that apply
Answers
Answer:
B. 1 and 5C. 7 and 3explanation:these are corresponding angles because. They are on the same side of the transversal and measure the same.
NEED HELP ASAP! WILL MARK BRAINLIEST! :) The two alleles for a trait are neither dominant nor recessive. Both are expressed fully and separately in a heterozygous condition. Which pattern of inheritance does the trait follow? A. Codominant B. Dominant C. Polygenic D. Recessive
Answers
Answer:
The correct answer is
A. Co-dominant
Codominance is a relationship between two versions of a gene. Individuals receive one version of a gene, called an allele, from each parent. If the alleles are different, the dominant allele usually will be expressed, while the effect of the other allele, called recessive, is masked.
Hope this helps!
- Quinn <3
Answer:
A is correct
Step-by-step explanation:
The sides of ΔDEF are d, e, and f. If the lengths of d = 12 and e = 19, what are the possible lengths of f? ANSWERS: A) 7 < f < 19 B) 7 < f < 31 C) 12 < f < 19 D) 12 < f < 31
Answers
Answer:
B
Step-by-step explanation:
There are two cases: Either f is the longest side or f is the shortest side. If we look at the first case, f < 12 + 19 which means f < 31. The second case tells us that 12 + f > 19 which means f > 7 so the answer is 7 < f < 31.
Answer:
b
Step-by-step explanation:
7 < f < 31
The scale on a map is 1cm for every 400 km. If Maine and Japan are 22cm apart on the map, what is the distance between Maine and Japan? Please help!!!!!
Answers
Answer:
8800km
Step-by-step explanation:
If 1cm = 400km
then you have to substitute in 22cm instead of 1cm making it..
22x400=8800.
Hope this helps.
Help I’m trying to get all of my math done that’s due today so please help!
Answers
Step-by-step explanation:
X+y =180 (supplementary angles)
X+108=180
X=180 - 108
X=72
Hope this helps.. Good luck
Answer:
∠x =72°
Step-by-step explanation:
Supplementary angles add up to 180°.
180-∠y=∠x
180-108=∠x
72=∠x
If you vertically compress the absolute value parent function, f(x) = [ 41, by a
factor of 5, what is the equation of the new function?
A. g(x) = 1/5 |x|
B. g(x) = |x - 5|
C. g(x) = |5x|
D. g(x) = 5|x|
Answers
Answer:
[tex]g(x) = \frac{1}{5} |x|[/tex]
Step-by-step explanation:
Given
[tex]f(x) = |x|[/tex]
Vertically compressed
Compression Factor = 5
Required
Find the equation of the new function;
Let the new function be represented by g(x)
Let c represented the compression factor;
such that c = 5
When a function f(x) is vertically compressed by factor c, the new function becomes
[tex]f(\frac{1}{c}x)[/tex]
From properties of functions;
[tex]f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]
This implies that
[tex]g(x) = f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]
[tex]g(x) = \frac{1}{c} *f(x)[/tex]
Recall that [tex]f(x) = |x|[/tex] and c = 5
[tex]g(x) = \frac{1}{5} * |x|[/tex]
[tex]g(x) = \frac{1}{5} |x|[/tex]
Hence, the new function is [tex]g(x) = \frac{1}{5} |x|[/tex]
Answer:
G(x)=1/5 |x|
Step-by-step explanation:
A p e x
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Triangle A B C with a perimeter of 82 inches is shown. Sides A B and B C have lengths of 24 inches. Point D is the midpoint on side A C.
Which best describes the resulting three-dimensional figure?
a cone with base radius of 17 in.
a cone with base radius of 34 in.
a triangular pyramid with side length of 17 in.
a triangular pyramid with side length of 34 in.
Answers
Answer:
A cone with base radius of 17 in
Step-by-step explanation:
Given
Triangle ABC
Where
AB = BC = 24in
D = Midpoint of AC
Required
Which best describes the resulting three-dimensional figure?
First, the length of the third side of the triangle has to be calculated
The sides of triangle ABC are AB, AC and BC
Given that the perimeter = 82 in
AB + AC + BC = 82
Recall that AB = BC = 24in; The equation becomes
[tex]24 + AC + 24 = 82[/tex]
Collect like terms
[tex]AC = 82 - 24 - 24\\AC = 34[/tex]
Given that, the triangle is rotated at D, the midpoint of AC
The length of the midpoint has to be calculated
[tex]D = \frac{1}{2}AC[/tex]
[tex]D = \frac{1}{2} * 34[/tex]
[tex]D = \frac{34}{2}[/tex]
[tex]D = 17[/tex]
At this point, we can dismiss options C and D.
This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.
So, we have option A and B to select from.
When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.
This implies that, a cone with base radius D is generated.
Recall that D = 17.
Hence, A cone with base radius of 17 in
Answer:
A
Step-by-step explanation:
PLS ANYBODY HELP ME WITH MY GEOMETRY QUESTION
Answers
Answer:
Angle A = 39°
Angle B = 90°
Angle C = 51°
Step-by-step explanation:
PLEASE HURRY!!!
Solve for x: the quantity of x plus 4 over 3 = 2. (1 point) x = −2 x = 2 x = 2 over 3 x = negative 10 over 3
Answers
Answer:
The third option, x = 2 over 3.
Step-by-step explanation:
x + 4/3 = 2
x = 2 - 1 1/3
x = 2/3
Mark as brainliest!
I will award Brianliest please help *A triangle has sides 45, 4x and 2x−4. What is the possible range of x? show work please
Answers
Answer:
49 / 6 < x < 41 / 2
Step-by-step explanation:
Given:
Three sides are:
45, 4x and 2x−4
In a triangle, the sum of two sides is greater then another side .
So,
45 < 4x + (2x-4)4x < 45 + (2x-4)2x-4 < 45 + 4xFrom ineuality (1)
45 < 4x + (2x-4)
45 < 6x - 4
49 / 6 < x
From ineuality (2)
4x < 45 + (2x-4)
2x < 41
x < 41 / 2
So,
49 / 6 < x < 41 / 2
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ score between 69 and 132, to the nearest tenth?
Answers
Answer:
96.4% of people have an IQ score between 69 and 132
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 100, \sigma = 15[/tex]
What percentage of people have an IQ score between 69 and 132, to the nearest tenth?
The proportion is the pvalue of Z when X = 142 subtracted by the pvalue of Z when X = 69. The percentage is the proportion multiplied by 100. So
X = 132
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{132 - 100}{15}[/tex]
[tex]Z = 2.13[/tex]
[tex]Z = 2.13[/tex] has a pvalue of 0.983
X = 69
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69 - 100}{15}[/tex]
[tex]Z = -2.07[/tex]
[tex]Z = -2.07[/tex] has a pvalue of 0.019
0.983 - 0.019 = 0.964
0.964*100 = 96.4%
96.4% of people have an IQ score between 69 and 132
Which of the following is a triangle congruence theorem?
A) SAS
B) AS
C) SSA
D) AAA
Answers
Answer:
Sas
Step-by-step explanation:
Which expression is equivalent to the expression below? StartFraction 6 c squared + 3 c Over negative 4 c + 2 EndFraction divided by StartFraction 2 c + 1 Over 4 c minus 2 EndFraction
Answers
Answer:
The expression which is equivalent to (6c² + 3c)/(-4c + 2) ÷ (2c + 1)/(4c - 2) is -3c.
Step-by-step explanation:
The given fraction is:
(6c² + 3c)/(-4c + 2) ÷ (2c + 1)/(4c - 2)
Simplify the equation:
3c(2c+1) / -2(2c - 1) ÷ (2c +1)/2(2c-1)
Change the division sign into a multiplication sign
3c(2c+1) / -2(2c - 1) × 2(2c-1)/(2c+1)
Cancelling 2(2c-1) :
3c(2c+1)/ -1 × 1/(2c+1)
Cancelling 2c+1 :
3c/-1 × 1/1
Simplifying:
-3c
Hench the given fraction is equals to -3c.
The expression equivalent the given expression is [tex]-3c[/tex].
Given expression is,
[tex]=\frac{6c^{2}+3c }{-4c+2}\div \frac{2c+1}{4c-2} \\\\=\frac{3c(2c+1)}{-4c+2}*\frac{-(-4c+2)}{2c+1}[/tex]
Here we observed that (2c + 1) and (-4c + 2) are cancelled out to each other from numerator and denominator.
[tex]=\frac{3c(2c+1)}{-4c+2}*\frac{-(-4c+2)}{2c+1}\\\\=-3c[/tex]
Hence, The expression equivalent the given expression is [tex]-3c[/tex].
Learn more:
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Find x. Round your answer to the nearest tenth of a degree.
Answers
Answer:
x ≈ 42.5
Step-by-step explanation:
We use tan∅ to solve this:
tanx° = 11/12
x° = [tex]tan^{-1}(11/12)[/tex]
x = 42.5104°
What fitness gram component would you do in order to increase your flexibility?
Answers
Answer:sit and reach test
Step-by-step explanation:
y=1/20x^2
The directrix of the parabola is:
x=-5
x=5
y=-5
Answers
Answer:
it's y=5
Step-by-step explanation:
Answer:
The correct answer is -5 not 5.
