Answer:
Its used for the domain and it means "the members of all REAL numbers" which refers to their being no imaginary number, for instance in inequalities that have square roots, it cant be a negative number otherwise you will get a imaginary number.
Step-by-step explanation:
The 'z€ R' notation means 'z is an element of R' or 'z belongs to R', which signifies that the variable z is a part of the set of real numbers. This indicates the domain for the variable in an inequality. Also, the principle of the z-score in statistics describes how many standard deviations above or below the mean a certain value lies.
Explanation:The notation z€ R in mathematical terms is used to indicate that the variable z belongs to the set of real numbers. Real numbers (often denoted by R) include all the numbers that can be shown on the number line; this set comprises rational (e.g., integers, fractions) and irrational numbers (like roots of numbers that are not perfect squares). When related to an inequality, this statement provides a domain of numbers that can satisfy said inequality, helping solve problems or equations.
A related concept is the z-score in statistics. The z-score tells you how many standard deviations a value is above or below the mean. Values larger than the mean have positive z-scores, but smaller values have z-scores that are negative. The absolute value of the z-score indicates the distance from the mean, irrespective of direction.
An example: a variable x in an equation can be represented in terms of z-score as x₁ = µ + zơ, which would mean that x is greater than the mean µ when z is positive, and less when z is negative.
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look at picture and plzz help
Answer:
a= 3 b=6 c= 5
Step-by-step explanation:
For this case we have the following expression:
[tex]3 ^ {\frac {6} {5}}[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [c] {a ^ b} = a ^ {\frac {b} {c}}[/tex]
Then according to the given expression we have the following:
[tex]a = 3\\b = 6\\c = 5[/tex]
Answer:
[tex]a = 3\\b = 6\\c = 5[/tex]
which expression is equivalent to (2x-3) (x+5
2x^2+10x-3x-15= 2x^2+7x-15
Answer:
2x^2+10x-3x-15= 2x^2+7x-15
Step-by-step explanation:
what is 18.23 rounded to the nearest tenth?
Answer:
The answer is 18.2.
Hope this helps!
Answer: 18.2
Step-by-step explanation:
you would round to 18.2 because with 5 and above, you give it a shove, 4 and below let it go
Henry works at a computer store. He is paid $14.00 per hour, plus 5% commission. He worked 8 hours and sold 6 computers today for a total of $5,790. Henry wants to determine how much he earned. To calculate his pay, Henry multiplies 14 × 8, then adds the product to 5,790, then multiplies the sum by 0.05. Is his calculation correct?
A) Yes, Henry's calculation is correct.
B) No, he should have multiplied $5,790 by 0.05.
C) No, he should have added $112 to $5,790.
D) No, he should have multiplied 112 by 0.05.
No he should have multiplied 5,700 by 0.05
Answer:
The correct option is B) No, he should have multiplied $5,790 by 0.05.
Step-by-step explanation:
Consider the provided information.
He is paid $14.00 per hour, plus 5% commission. He worked 8 hours and sold 6 computers today for a total of $5,790.
Now find his total earning as shown:
$14 × 8 = $112
It is given that he sold 6 computers for a total of $5,790 and he gets a commission of 5% of total sale.
5% = [tex]\frac{5}{100}=0.05[/tex]
Now multiply 0.05 with $5,790
$5,790 × 0.05 = $289.5
Hence, the total income is $112+$289.5=$401.5
To calculate his pay, Henry multiplies 14 × 8, then adds the product to 5,790, then multiplies the sum by 0.05.
Henry's calculation is incorrect as he needs to multiply 5,790 with 0.05 and then he need to add the product of 14 × 8
Therefore, the correct option is B) No, he should have multiplied $5,790 by 0.05.
simplify sin x / CSC x + cos x / sec x
The expression sin x / csc x + cos x / sec x simplifies to sin^2 x + cos^2 x by using the reciprocal identities of the trigonometric functions csc x and sec x.
Explanation:The expression sin x / csc x + cos x / sec x can be simplified by substituting the reciprocal identities for the trigonometric functions csc x and sec x. The reciprocal of csc x is sin x and the reciprocal of sec x is cos x. Thus, sin x / csc x becomes sin x / (1/sin x) which simplifies to sin^2 x. Similarly, cos x / sec x becomes cos x / (1/cos x) or cos^2 x. Therefore, the simplified form of the expression is sin^2 x + cos^2 x.
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Write the standard equation of a circle with the center (2,5) and a radius 16
(X-2)^2 +(y-5)^2 = 256
Please help me out
Which of these inequalities are equivalent to r > -11? Check all that apply.
-r < 11
3r < -33
3r > -33
-3r < 33
-3r > 33
Step-by-step explanation:
[tex]r>-11\qquad\text{change the signs}\\\\\boxed{-r<11}\qquad\text{multiply both sides by 3}\\\\\boxed{-3r<33}\\\\r>-11\qquad\text{multiply both sides by 3}\\\\\boxed{3r>-33}[/tex]
Answer:
A
C
D
Step-by-step explanation:
Which of the following is an example of a variable expense?
Rent
Groceries
Wages
Car insurance
PLEASE HELP!!
Answer:
Step-by-step explanation:
Rent, wages and car insurance don't vary much. Grocery expenses depend upon the particular groceries purchased each time one goes to the grocery store, and are least likely to be steady / constant from week to week.
HELPPPP ASAP!!!!!!!!!!!! Using the distributive property, which of the following expressions is equivalent to 5(3 + 5y)?
A. 8 + 5y
B.15 + 5y
C.15 + 25y
D. 8 + 10y
Answer:
C.15+25y
Step-by-step explanation:
5(3+5y) solved via distribution is 15+25y
Happy to help :D
C. Because 5(3+5y) is the same as 5x3 plus 5x5y which is 15 + 25y
Factor completely 49x^2-25
Answer:
(7x-5)(7x+5)
Step-by-step explanation:
Answer:
(7x + 5)(7x - 5)
Step-by-step explanation:
49x² - 25 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b)
49x² = (7x)² ⇒ a = 7x
25 = 5² ⇒ b = 5
49x² - 25
= (7x)² - 5² = (7x + 5)(7x - 5)
What is the area of point O?
Answer:
28.26 cm²
Step-by-step explanation:
It's not the point O, but the circle O.
The area of a circle is given by the formula A = π r²
We already have r (3cm)... so we can plug it directly into the equation:
A = π r² = π 3² = 9π = 28.26 cm²
Answer:
A = 28.27
Step-by-step explanation:
A = π r^2
A = π 3^2
A= π (9)
A = 28.27433
Your friend can clap his hands 28 times in 12 seconds. How many times can your friend clap his hands in 1.75 minutes?
Answer:
Step-by-step explanation:
12 seconds for 28 claps
1 second for (28/12) claps
? claps for 1.75 mins?
1.75 minutes = 105 seconds (1.75×60 = 105)
105 seconds for (28/12)×105 claps
= 245 claps
Answer:
Your friends can clap their hands 245 times in 1.75 minutes.
Step-by-step explanation:
First of all, you should know how many seconds represents 1.75 minutes, because the amount of applause your friends can make is in that measure of time. In order to make this conversion, a simple rule of three is made, knowing that 1 minutes is 60 seconds:
If 1 minute is 60 seconds, how many seconds are 1.75 minutes?
[tex]\frac{1.75minutes*60seconds}{1minute} =105 seconds[/tex]
Knowing that your friend can clap his hands 28 times in 12 seconds and knowing that 1.75 minutes is 105 seconds, you can perform a rule of three again:
If they can clap their hands 28 times in 12 seconds, how many applause can they make in 105 seconds?
[tex]\frac{105seconds*28applause}{12} =245 applause[/tex]
Then your friends can clap their hands 245 times in 105 seconds, which is 1.75 minutes.
2/3m-4/5-3/5m need answer ASAP
Combine Like Terms:
2/3m+-4/5-3/5m
=(2/3m+-3/5m)+(-4/5)
=1/15m+-4/5
Answer:
-1/5m-4/5
Step-by-step explanation:
Solve log 60 - log 30
Answer:
log(2)
Step-by-step explanation:
property of logs says
Log(60) - Log(30) = Log(60/30) = Log (2)
Answer:
1.20
Step-by-step explanation:
properties of log
log x - log y = logx/logy
What is the reciprocal of tanB in the triangle below?
Answer:
Step-by-step explanation:
Note that the reciprocal of tan B is by definition the cotangent (cot) of B:
1 adjacent side BC
---------- = cot B = ----------------------- = ---------
tan B opposite side AC
Answer:
Hence, The reciprocal of tan B is tan A
B is correct.
Step-by-step explanation:
We are given a right angle triangle. Right angle at ∠C
We need to find the reciprocal of tan B
First we write the formula of tan B using trigonometry identity.
[tex]\tan\theta=\dfrac{\text{Opposite}}{\text{Base}}[/tex]
In ΔABC, ∠C=90°
[tex]\tan B=\dfrac{AC}{BC}[/tex]
Now we reciprocal it.
[tex]\dfrac{1}{\tan B}=\dfrac{BC}{AC}[/tex]
[tex]\tan A=\dfrac{BC}{AC}[/tex]
Comparing both equation ( Right sides equal )
[tex]\dfrac{1}{\tan B}=\dfrac{BC}{AC}=\tan A[/tex]
[tex]\dfrac{1}{\tan B}=\tan A[/tex]
Hence, The reciprocal of tan B is tan A.
If sin 0=3/5, then cos 0=
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Given
sinΘ = [tex]\frac{3}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
Then the hypotenuse = 5 and one leg of the right triangle is 3
Using Pythagoras' identity to find the second leg (x)
x² + 3² = 5²
x² + 9 = 25 ( subtract 9 from both sides )
x² = 16 ⇒ x = 4
cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex]
math help uwu ,,, will reward tyvm. (─‿‿─)
Answer:
Step-by-step explanation:
Here's how I would do it (not necessarily the only way or best way).
Draw an imaginary line from A to C. This splits the kite into two triangles: ABC and ADC. Since AB ≅ AD, CB ≅ CD, and AC ≅ AC, the two triangles must be congruent by SSS. Therefore, ∠B ≅ ∠D.
Tonya bought gifts for her family that cost $25, $14, $33, and $19. She has to buy one more gift and wants her mean cost to be $25. What should she spend on the last gift?
____________________________________________________
Answer:
Your answer would be $34.
____________________________________________________
Step-by-step explanation:
In order to get the mean cost that she wants from the gift, we would need to get the numbers that we already had, and have another set of row with the amount of gifts she needs with the mean she wants.
Here is how it should look like:
$25 $14 $33 $19 x
$25 $25 $25 $25 $25
We are trying to find the number for "x"
Therefore, we would need to use the process of adding, then subtracting after.
Lets add:
[tex]25+14+33+19=91\\\\25+25+25+25+25=125[/tex]
What we would do now is subtract the numbers in order to get the price that Tonya wants from her gift, if she buys another gift.
[tex]125-91=34[/tex]
Tonya should spend $34 on her last gift.
$34 should be your FINAL answer
____________________________________________________
equivalent 0f 2(2a-5)-(a-3)
Answer:
3a-7
Step-by-step explanation:
2(2a-5)-(a-3)
Distribute the 2
2*2a -2*5 - (a-3)
4a -10 - (a-3)
Distribute the minus sign
4a-10 -a +3
Combine like terms
4a-a -10+3
3a-7
Can someone help me with this math problem
The answer is D. you would do 0.25 x 6.5. you add 2 to the original needed batches of 4.5.
Answer:
1.125 (A)
Step-by-step explanation:
First you multiply 0.25 x 4.5=1.125
can someone help me out please:(:(
Answer:
[tex]\large\boxed{\sqrt{20}-\sqrt{80}=-2\sqrt5}[/tex]
Step-by-step explanation:
[tex]\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{20}=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\\\\\sqrt{80}=\sqrt{16\cdot5}=\sqrt{16}\cdot\sqrt5=4\sqrt5\\\\\sqrt{20}-\sqrt{80}=2\sqrt5-4\sqrt5=(2-4)\sqrt5=-2\sqrt5[/tex]
Suppose you need to choose a new combination for your combination lock. You have to choose 3 numbers, each different and between 0 and 40. How many combinations are there? Explain
Answer:
63,960 possibilities in total.
Step-by-step explanation:
For the first number, you can choose from 41 different numbers, so there are 41 possibilities.
For the second number, you cannot choose the same as the first one, so you are now limited to 40 possibilities.
For the third number, you are down to 39 possibilities since you cannot pick the same as the first two ones.
So, you have 41 * 40 * 39 = 63,960 possibilities in total.
Picking a new combination is easy... remembering it is the hard part :-)
If you want to calculate it from a formula standpoint, the base formula would be:
[tex]P(n,r) = \frac{n!}{(n-r)!} = \frac{41!}{(41-3)!} = 63960[/tex]
Where n is the total numbers possible and r is the quantity of numbers you have to pick.
line p has an x-intercept of 5 and a y-intercept of 3. Find the slope of line p
Answer:
-3/5
Step-by-step explanation:
you can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope of a line when given two points.
we are given both the x and y intercepts, and we can use those in the formula.
the x intercept is (5,0) and the y intercept is (0,3)
i will treat (5,0) as my x1 and y1, and (0,3) as my x2 and y2
[tex]\frac{3-0}{0-5}[/tex] = -3/5
the slope is -3/5
The slope of the line is -3/5 if the line p has an x-intercept of 5 and a y-intercept of 3.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a line p:
The x-intercept of line p is 5 or (5, 0)
The y-intercept of line p is 3 or (0, 3)
The slope m can be evaluated:
[tex]\rm m =\dfrac{3-0}{0-5}[/tex]
m = -3/5
Thus, the slope of the line is -3/5 if the line p has an x-intercept of 5 and a y-intercept of 3.
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How many different ways can the 11 letters in the word PROBABILITY be arranged?
There are 11 letters in "probability"
There are two B's and two I's
11!/(2!2!) = 9,979,200
hope that helps. please name me brainliest
Answer:
8
6
Using all the letters of the word ARRANGEMENT how many different words using all letters at a time can be made such that both A, both E, both R both N occur together .
Hope this helps <3<3<3 Aaliyah
Step-by-step explanation:
Which graph best represents the function f(x) = 3(1.5)x?
graph of increasing exponential function going through point 0, 2
graph of increasing exponential function going through point 0, 3
graph of increasing exponential function going through point 0, 1
graph of increasing exponential function going through point 0, 4
Answer:
B). graph of increasing exponential function going through point (0, 3)
Step-by-step explanation:
Given function is [tex]f\left(x\right)=3\left(1.5\right)^x[/tex]
Now we need to find about which of the given choices best describes the given function. Where given choices are:
A). graph of increasing exponential function going through point 0, 2
B). graph of increasing exponential function going through point 0, 3
C). graph of increasing exponential function going through point 0, 1
D). graph of increasing exponential function going through point 0, 4
plug x=0 into given function
[tex]f\left(x\right)=3\left(1.5\right)^x[/tex]
[tex]f\left(0\right)=3\left(1.5\right)^0=3(1)=3[/tex]
Hence graph passes through point (0,3).
growth factor 1.5 is greater than 1 so that means it is increasing function.
Hence correct choice is:
B). graph of increasing exponential function going through point (0, 3)
each column of the matrix T=[0,0,3,0,3,0] represents a vertex of a triangle. if rosa scales the triangle by fining 3T what are the vertices of the scaled triangle?
Answer:
(0,0), (0,9), (9,0)
Step-by-step explanation:
The matrix corresponding vertices are:
(0,0)
(0,3)
(3,0)
Rosa scales by 3T, so we need to multiply each point by 3.
(3*0, 3*0)
(0*3, 3*3)
(3*3, 0*3)
=
(0,0)
(0,9)
(9,0)
last answer choice is right.
Answer:
[tex]\large\boxed{(0,\ 0),\ (0,\ 9),\ (9,\ 0)}[/tex]
Step-by-step explanation:
[tex]n\cdot\left[\begin{array}{ccc}a&b&c\\d&e&f\end{array}\right] =\left[\begin{array}{ccc}(n)(a)&(n)(b)&(n)(c)\\(n)(d)&(n)(e)&(n)(f)\end{array}\right] \\\\============================[/tex]
[tex]\text{We have:}\\\\T=\left[\begin{array}{ccc}0&0&3\\0&3&0\end{array}\right] \Rightarrow\text{vertex}\ (0,\ 0),\ (0,\ 3),\ (3,\ 0)\\\\-----------------------------\\\\3T=\left[\begin{array}{ccc}(3)(0)&(3)(0)&(3)(3)\\(3)(0)&(3)(3)&(3)(0)\end{array}\right] =\left[\begin{array}{ccc}0&0&9\\0&9&0\end{array}\right] \\\\\text{new vertex:}\ (0,\ 0),\ (0,\ 9),\ (9,\ 0)[/tex]
The Cooking Club made some pies to sell during lunch to raise money for an end-of-year banquet. The Cafeteria contributed pies to the club. Each pie was then cut into four pieces to the club. Each pie then cut into four pieces and sold. There were a total of 36 pieces to sell. How many pies did the club make?
Answer:pies 9 :p
Step-by-step explanation:
36÷4=9
Find the circumference of a circle with an area of 254.47 square inches.
Answer:
56.5 inches
Step-by-step explanation:
We are given the area of a circle and we are to find the circumference of the same circle.
We know that the area of a circle is given by [tex]\pi r^2[/tex] so equating the given value to get.
[tex]\pi r^2=254.47[/tex]
[tex]r^2=\frac{254.47}{\pi }[/tex]
[tex]r=\sqrt{81.00}[/tex]
r = 9 inches
Since we now know the radius of the circle so we can find its circumference.
Circumference of circle = [tex]2\pi r[/tex] = [tex]2\pi (9)[/tex] = 56.5 inches
Answer: 56.54 in
Step-by-step explanation:
The area can be calculated with this formula:
[tex]A=\pi r^2[/tex]
Where r is the radius
And the circumference can be calculated with this formula:
[tex]C=2\pi r[/tex]
Where r is the radius
Solve for the radius from [tex]A=\pi r^2[/tex]. Then, tha radius is:
[tex]r=\sqrt{\frac{A}{\pi }}=\sqrt{\frac{254.47in^2}{\pi }} =9in[/tex]
Then, the circumference is:
[tex]C=2\pi (9in)=56.54in[/tex]
Meaning of tan sin and cos
Answer:
Those are trigonometric identities. and tan is just a shortened version of tangent, same for cos is means cosine
The sine/sin of the angle = the length of the opposite side divided by the length of the hypotenuse.
The cosine/cos of the angle = the length of the adjacent side divided by the length of the hypotenuse.
The tangent/tan of the angle = the length of the opposite side divided by the length of the adjacent side.
Vertical angles must: check all that apply
Answer:
Have the same vertex , and be congruent.
Step-by-step explanation:
Answer:Have the same vertex , and be congruent.
Step-by-step explanation: