No, the square root of 1 is 1, but 1 is not equal to the square root of 1. The square root of a number, represented by the symbol √, is a value that, when multiplied by itself, gives the original number.
For example, the square root of 4 is 2, because 2 x 2 = 4. In the case of 1, the square root is also 1, because 1 x 1 = 1.
In mathematics, the square root of a number is always non-negative, real number. It is positive for positive numbers and zero for zero. So, in short, the square root of 1 is 1, but 1 is not equal to the square root of 1. It is just a value that gives 1 when multiplied with itself.
It's important to note that the square root is not a number but an operator, an action which you perform on a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
In this case, the square root of 1 is 1, which means that 1 multiplied by 1 is 1.
Also, it's worth mentioning that there are two types of square roots: principal square root and non-principal square roots. Principal square root is the positive value of the square root and non-principal square roots are the negative value of the square root.
In this case, the square root of 1 is 1, which is the positive value of the square root.
In conclusion, the square root of 1 is 1, and it is the positive value of the square root, but 1 is not equal to the square root of 1, as the square root is a value that gives the original number when multiplied by itself.
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There are 52 people in a room. What is the largest value of n such that the statement ""at least n people in this room have birthdays falling in the same month"" is always true?
The largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5
How to determine the value
From the given information, we have 52 people in the room
Note that there are 12 months in a year
Let's divide the number by people by the months of the year
⇒ [tex]\frac{52}{12}[/tex]
⇒ 4 remaining 4
If 48 people are evenly distributed over twelve months, then there will be four people born in each month.
The remaining four people can be placed each in any of the twelve different months.
Hence, if 52 people are evenly distributed as possible, there will be eight months with four people and four months with five people.
Thus, the largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5
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It has taken 3 hours to fill a 5 gallon bucket from leaky hose what is the rate in gallons per hour
Answer: 1.7
Step-by-step explanation:
The rate of gallons per hour is the same as the unit rate. You want to find out how many gallons are filled in one hour, so divide 3 down to one, 3 divided by 3 is one. Then, also divide 5 by 3. 5 divided by 3 is 1.6666... and as an hour is out of 60, round it to 1.7.
I hope this helps!
Help please!!! Write an equation that represents the line.
Use exact numbers.
simplify: 2y(y2-4y+1)-2(4y²+5y-2) +5y-8
please tell me fast with full solution
Answer:
look the answer is in the picture and don't forget to like and brainlest
To get 14 liters of antifreeze solution, how much do i need to add to x liters of the solution?
To get 14 liters of antifreeze solution, add 14 - x liters of the solution
Calculating volumeFrom the question, we are to determine how many liters should be added to the solution
From the given information,
We are to get 14 liters of antifreeze solution,
and
we already have x liters of the solution
To get 14 liters of antifreeze solution, we will add 14 - x liters of the solution
Hence, to get 14 liters of antifreeze solution, add 14 - x liters of the solution
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Can someone help me with this?
At a sale, dresses were sold for 61% of their original price. If the dresses originally cost $200 each, how much did a dress cost on sale?
The new cost of the dress on sale given the original price is $122
PercentageOriginal cost = $200New cost = 61% of original price
= 61/100 × $200
= 0.61 × 200
New cost = $122
Therefore, the new cost of the dress is $122
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Enacting a modeled response depends on your ability to reproduce the response by converting your stored mental images into overt behavior.
Answer:
??
Step-by-step explanation:
Helppp please and thank uuu
What transformation is used to create this frieze pattern?
vertical reflection
glide reflection
horizontal reflection
180° rotation
Answer:
Using translation concepts, it is found that the transformation used to create this frieze pattern is a 180º rotation.
Step-by-step explanation:
A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what is the probability that more than 8 of them are strikes
8/25 is the probability that more than 8 of them are strikes.
Lets simplify the problem,
We are given that a softball pitcher has a 0.507 probability of throwing a strike for each pitch. Also, the softball pitcher throws 15 pitches.
The above situation can be represented through Binomial distribution;
P(X = r) = 0,1,2,3,,.....
where, n = number of trials (samples) taken = 15 pitches
r = number of success = more than 8
p = probability of success which in our question is probability of
Throwing a strike for each pitch = 0.507
LET X = Number of strikes
So, it means X ~ n = 15, p = 0.507
So, Probability that more than 8 of them are strikes = P(X > 8)
P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)
After putting the values in it we get,
P = 0.323
P= 8/25 approx
8/25 is the probability that more than 8 of them are strikes.
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What is the probability of rolling a 4, 5, and 6, in that order, on three rolls of a single six-sided die
Answer:
1:216
Step-by-step explanation:
The probability of getting a 4 would be 1/6. The probability of getting a 5 would be 1/6 and the probability of getting a 6 would be 1/6. The bottom number is the total number of outcomes (1,2,3,4,5,6) and the top number is out of that set, how many do I want. In the case of wanting a 4, I want 1 out of those 6 numbers and so on.
Now we multiple these together 1/6 x 1/6 x 1/6 and get 1/216 or another way to write this is 1:216
Subtract the matrices. What number fills in ?
The missing number for the subtraction of matrices is 4.
How to subtract the matrices?
The subtraction of two matrices of the same size is really direct. You just need to subtract the elements that are in the same position, then:
[tex]A = \left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\end{array}\right] \\\\B = \left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\end{array}\right]\\\\A - B = \left[\begin{array}{ccc}a_{11} - b_{11}&a_{12}-b_{12}\\a_{21} - b_{21}&a_{22}-b_{22}\end{array}\right][/tex]
Then the missing therm will just be equal to the difference between the last two elements of each matrix:
-2 - (-6) = -2 + 6 = 4
The missing number is 4.
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which of the following points could be added to the graph f(x)=-|x+3| to keep the graph a function?
a.(0.3) b.(-3,-6)
c. both a and b d. none of the above
None of the points could be added to the graph f(x)=-|x+3| to keep the graph a function
How to determine the point?The equation of the function is given as:
f(x) = - |x + 3|
The points are given as:
(0, 3) and (-3, -6)
When x = 0, we have:
f(0) = - |0 + 3|
f(0) = -3 --- different y value from (0, 3)
When x = -3, we have:
f(-3) = - |-3 + 3|
f(-3) = 0 --- different y value from (-3, -6)
This means that the x values point to different y values (this does not represent a function)
Hence, none of the points could be added to the graph f(x)=-|x+3| to keep the graph a function
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. A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. This is a tree diagram that represents the probability of customers choosing the different snack and drink options. Tree Diagram What is the value of Z
The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.
What is probability?In mathematics, probability is considered as the chances a specific situation or event occurs. For example, you can calculate the probability that it rains tomorrow based on general weather patterns.
How to calculate the probability of two events happenning?Calculate or identify the probability of each event happening.Multiply the probabilities of the events involved.What is the probability of Z event happnening?Probability that a person choses soda: 0.5Probability that a person choses chips: 0.5Now, let's multiply these probabilities:
0.5 x 0.5 = 0.25 or 25% (0.25 x 100)This means the probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.
Note: This question is incomplete; here is the missing section:
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Which equation describes how the parent function, y = x3, is vertically stretched by a factor of 4?
Oy=x³ +4
O y=(x+4)³
O. y=4x³
O y=x4
Answer: [tex]y=4x^3[/tex]
Step-by-step explanation:
See attached image.
The equation of function after vertically stretched by a factor of 4 is,
⇒ y = 4x³
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The parent function is,
⇒ y = x³
Now, After vertically stretched by a factor of 4 we get;
The value of function is,
⇒ y = 4x³
Hence, The equation of function after vertically stretched by a factor of 4 is,
⇒ y = 4x³
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Which equation represents a line that passes through the two points in the
table?
During the current year mute corporation expected that sell 24,600 telephone switches. fixed cost of the year were expected to be 12,147,000 the unit sales price was budgeted at 3,500 and unit variable costs are budgeted at 1,680. minutes margin of safety in units is
The corporation's margin of safety is 0.73.
What is the margin of safety?Margin of safety is the amount of sales a company makes in excess of the breakeven point.
Margin of safety = (forecasted sales - break-even sales) / forecasted sales
Break even sales = fixed cost / (price per unit - variable cost)
12,147,000 / (3500 - 1680) = 6,674.18
Margin of safety = (24,600 - 6,674.18) / 24,600 = 0.73
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Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -62 -30 -14 -6 -2 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-2, 1]? A. Only function f is increasing, and only function f is negative. B. Only function f is increasing, and both functions are negative. C. Both functions are increasing, but function g increases at a faster average rate. D. Both functions are increasing, but function f increases at a faster average rate.
based on the given exponential functions, we can tell that C. Both functions are increasing, but function g increases at a faster average rate.
what function is increasing faster?function g is represented by the model:
g(x) = -18 x (1/3)^x + 2
g(x)=-18(1/3)^x In(1/3)
In1/3 < 0
this means that:
g (x) > 0
for any interval, g(x) > f(x)
this means that g is increasing at a faster rate than f which is increasing as shown by the table given in the question.
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21. A triangle has vertices (1, 5), (2, 7), and (6, 5). After a reflection and a translation, the
coordinates of the image are (5,-2), (6,-4), and (10,-2). Describe the transformation.
22. Find the image of the point at (4, -7) under the translation along the vector (a, b).
Answer:
See below
Step-by-step explanation:
I am not sure about number 22. I think that they are asking you to apply the same rules to the point (4, -7), if that is what they mean, the answer is (8,10)
PlllZZZZZZZZ HELPPPPP
Answer:
x = 1.4
Step-by-step explanation:
Visualize the figure as a rectangle with width 4 and height 1 combined with a triangle with base 1 and height 1.
Next, use the Pythagorean Theorem, a^2 + b^2 = c^2. Variables a and b represent the lengths of the legs, in this case 1 and 1, and variable c represents the length of the hypotenuse, in this case x.
1^2 + 1^2 = x^2
2 = x^2
x = 1.41421356237
Step-by-step explanation:
imagine that this shape is the combination of 2 shapes :
1. a rectangle 4×1
it goes from the top down the side of 4 until the tilted line x begins.
2. a right-angled triangle
x being the Hypotenuse (the baseline opposite of the 90° angle). and the legs are the invisible line of 1 (going from the top right of x in parallel to the 1 line all the way to the 5 line) and the part of the 5 line below the 4 line : 5-4 = 1.
so, x can be solved by using Pythagoras
c² = a² + b²
c being the Hypotenuse, a and b are the legs.
x² = 1² + 1² = 2
x = sqrt(2) = 1.414213562... ≈ 1.4
A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. which statements about the parabola are true? select two options.
The true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.
What are parabolas?Parabolas are examples of a conic section such that it is formed by the intersection of a cone with a plane parallel to its side.
How to determine the true statements?From the question, the given parameters are:
Vertex = (0,0)
Focus = Negative side of the y-axis
A parabola has quite a number of forms, one of these forms is the general form.
The general form is represented as:
(x - h)^2 = 4p(y - k)
The vertex of the parabola is
(h, k) = (0, 0).
So, we have:
(x - 0)^2 = 4p(y - 0)
Evaluate the difference
x^2 = 4py
Since the focus is on the negative side, the value of p will be negative.
Also, because the vertex is at the origin, the directrix of the parabola will cross through the positive part of the y-axis.
This means that the true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.
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Complete question
A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. Which statements about the parabola are true?
Check all that apply.
The directrix will cross through the positive part of the y-axis.
The equation of the parabola will be in the form y2 = 4px where the value of p is negative.
The equation of the parabola will be in the form x2 = 4py where the value of p is positive.
The equation of the parabola could be y2 = 4x.
The equation of the parabola could be x2 = y.
Which function represents a reflection of f(x) = 2(0.35)x over the y-axis?
h(x) = 2(0.35)x
h(x) = –2(0.35)x
h(x) = 2(0.35)–x
h(x) = 2(–0.35)–x
The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
How to determine the reflection?The equation is given as:
f(x) = 2(0.35)^x
The reflection of a function over the y-axis is :
f'(x) = f(-x)
So, we have:
f(-x) = 2(0.35)^(-x)
From the list of options, we have
h(x) = 2(0.35)^(-x)
Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
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A new toy comes in the shape of a regular hexagonal pyramid. The base has side lengths of 10 inches and the apothem is 5√3 inches. If the surface area is 420 + 150√3 square inches, what is the slant height?
A. 11 inches
B. 14 inches
C. 7 inches
D. 28 inches
The slant height of the hexagonal pyramid is: B. 14 inches.
What is the Area of a Regular Hexagon?Area of a regular hexagon = 3√3/2(s²)
First, find the area of the regular hexagon:
Area = 3√3/2(s²) = 3√3/2(10²) = 150√3 in.².
Surface area is given as 420 + 150√3 in.².
Area of the 6 triangles = surface area - area of hexagonal base = 420 + 150√3 - 150√3
Area of the 6 triangles = 420 in.²
Area of 1 triangle = 420/6 = 70 in.²
Use the area of a triangle to find the slant height (h):
70 = 1/2(10)(h)
2(70) = 10(h)
140/20 = h
h = 14 in.
The answer is B. 14 inches.
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A researcher asked 520 randomly selected people of three different age groups (teen, young adult, and adult) about their favorite music genre. the two-way table displays the distribution of the responses. a 4-column table with 3 rows. column 1 has entries country, rock, oldies. column 2 is labeled teen with entries 61, 94, 15. column 3 is labeled young adult with entries 65, 84, 36. column 4 is labeled adult with entries 49, 54, 62. the columns are labeled age and the rows are labeled music. a participant is randomly selected. let c be the event that the participant prefers country music and let t be the event that the participant is a teen. what is the value of p(cc and tc)? 0.12 0.33 0.45 0.55
The value of p(cc and tc) is 0.1173
The distribution of the replies is 0.12, as shown by the two-way table.
We've done that.
520 randomly chosen individuals from the teen, young adult, and adult age groups were asked about their preferred musical genres by the researcher.
The distribution of the answers is shown in the two-way table.
There are 61 teenagers in the country.
seeing as how this is only one of 520,
The probability formula?
P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).
61/520=0.1173
We calculate 0.1173 by dividing 61 by 520 and rounding to the next hundredth to obtain 0.12.
Thus the value of p(cc and tc) is 0.1173.
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Of the 30 cars in a parking lot, 12 are blue, 8 are red, 6 are white, and 4 are silver. In simplest form, what are the odds in favor of a red or white car leaving first?
A. 7:8
B. 8:7
C. 1:5
D. 5:1
Answer:
Step-by-step explanation:
8+6=14
14/30 = 7/15
So the final answer is 7/15
pls thank me pls :(
Can any one help me?
Answer:
64
Step-by-step explanation:
2x-4y=3
x= (3 +4y)/2
substitute into the main equation
y= 0
x= 3/2
16^x /256^y
16^3/2 ÷ 256^0
√16^3 ÷1
= 64
Answer:
64
Step-by-step explanation:
2x - 4y = 3
2x = 4y + 3
x = 2y + 1.5
[tex] \dfrac{16^x}{256^y} = [/tex]
[tex] = \dfrac{16^{2y + 1.5}}{256^y} [/tex]
[tex] = \dfrac{16^{2y + 1.5}}{16^{2y}} [/tex]
[tex] = 16^{2y + 1.5 - 2y} [/tex]
[tex] = 16^\frac{3}{2} [/tex]
[tex] = 4^3 [/tex]
[tex] = 64 [/tex]
You can fine the run by subtracting the __ coordinate of the lead point from that of the right point
You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point.
The "slope formula" for a straight line connecting any two locations is another name for the rise over run formula. The rise is the difference between the y-coordinates of the two locations. The run is the difference between the x-coordinates of two locations. Divide the rise by the run to find the slope.
The rise over run formula is also known as the slope formula because the fraction consists of a rise, whether the line is moving up or down, divided by the run, which can be either left or right. The slope of the line dictates the direction of the line as well as its steepness.
Thus, "You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point".
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Determine the unknown value in the table using the constant of proportionality.
Time (seconds) 12 18 40
Number of Pencils Produced 42 63
The unknown value in the table using the constant of proportionality is; 96
How to find the constant of proportionality?The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant.
We are given the coordinates;
(12, 42), (18, 63), (40, y)
where x-values represents time in seconds and y-values represents number of pencils that were produced.
To find the constant of proportionality is as good as finding the slope between two consecutive points as;
m = (63 - 18)/(42 - 12)
m = (45/30)
m = 1.5
Thus to find the unknown value y, we will use the formula;
(y - y1)/x - x1) = m
So we will use the coordinates; (18, 63), (40, y)
Plugging them into the formula above will result in;
(y - 63)/(40 - 18) = 1.5
y - 63 = 1.5 * 22
y - 63 = 33
y = 33 + 63
y = 96
Thus, we can conclude that using the constant of proportionality, the number of pencils that were produced after a time of 40 seconds is 96 pencils.
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HALP PLS
what is x?
x =x=x, equals
^\circ
∘
degrees
Answer:
x = 90°
Step-by-step explanation:
The line that contains angle x and the 90° angle is a straight line.
A straight line measures as 180°.
So, subtracting the given 90° from the 180° line that the two angles share, we would get the measure of x.
[tex]180-90 =x[/tex]
Which means, [tex]x=90[/tex].
So the value of x is 90°.
if 4200 men have sufficient food for 32 days at the rate of 12 hectogram per person , how many men may leave so that the same food is sufficient for 42 days at the rate of 16 hectogram per person
Using proportions, it is found that 66 men can leave so there will still be enough food.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the situation described, the rule of three is given as follows:
4200 men - 32 days - 12 hectogram per person.
x men - 42 days - 16 hectogram per person.
Considering that the amount per person and the number of people is inverse proportional, we have that:
[tex]\frac{4200}{x} = \frac{32}{42} \times \frac{16}{12}[/tex]
[tex]\frac{4200}{x} = \frac{512}{504}[/tex]
Applying cross multiplication:
512x = 504 x 4200
x = 504 x 4200/512
x = 4134.
The amount of men that can leave is:
4200 - 4134 = 66.
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