Answer:
[tex]x \ge -2[/tex]
Step-by-step explanation:
The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.
[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].
But in the function f(g(x)), the input to f is g(x) = x + 5, so x + 5 must be greater than or equal to 3.
[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]
Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function. See if it helps to call the domain of g by the name x, and the domain of f by some other name.
[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]
The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]
help please! which of the following represents two dependent events .
Answer:
i would say A
Step-by-step explanation:
Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs. a. True b. False
Answer:
False.
Step-by-step explanation:
Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.
Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)
Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.
Then the statement:
"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."
Is false.
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAINLIEST IF ITS CORRECT NO LINKS PLEASE no guessing ;) rip my points i have 6 now ): IM CRYING
Answer:
5(b+3)
Step-by-step explanation:
you are multiplying the sum of b and 3 by 5
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Facial shaving brushes are either bulb-shaped or fan-shaped. An experiment is to be conducted to determine whether the lather thickness is the same for both types of shaving brushes. In previous studies, it was determined that shaving brush size (small, medium, large) is associated with lather thickness, but shaving brush type (Wolf Whiskers, Maggard Razors, Frank Shaving, and so on) is not associated with lather thickness. How could the experiment BEST be conducted?
a) By blocking on shaving brush size
b) By blocking on shaving brush type
c) By blocking on shaving brush shape
d) By blocking on lather thickness
e) Without blocking
Answer:
a) By blocking on shaving brush size
Step-by-step explanation:
You block on the variable that the researchers think matters.
The experiment can BEST be conducted by blocking on shaving brush size
What is the reason behind the experiments?An experiment is designed to verify your hypothesis. If your theory is valid, every time a scientific experiment has been conducted, it has the potential to be true.
In this given experiment a technique is used to verify or disprove a theory, as well as assess the effectiveness or likelihood of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
Since, lather thickness and shaving brush size are related, changing the brush size could have an impact on the experiment's findings.
Therefore, The experiment can be best carried out by limiting the size of the shaving brush.
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What is the z-score of a data value that is 3 standard deviations to the left of the mean?
Answer:
Step-by-step explanation:
look up z-table
3 std div. = 0.00135
A spinner like the one below is used in a game. Determine the probabilit that the spinner will land on an odd number less than nine.
A.3/2
B.5/12
C.1/3
D.6/11
ind g(x), where g(x) is the translation 5 units right of f(x) = x.
Write your answer in the form mx + b, where m and b are integers.
A. g(x)= x + 5
B. g(x)= x - 5
C. g(x)= x(5)
D. none of the above
Solve the system of equations -x-y=-4−x−y=−4 and -2x+4y=4−2x+4y=4 by combining the equations.
9514 1404 393
Answer:
(x, y) = (2, 2)
Step-by-step explanation:
We can put the second equation into standard form by dividing by -2.
x -2y = -2
Adding this to the first equation eliminates x
(x -2y) +(-x -y) = (-2) +(-4)
-3y = -6
y = 2 . . . . . divide by -3
-x -(2) = -4 . . . . substitute for x in the first equation
2 = x . . . . . . . . add 4+x
The solution is (x, y) = (2, 2).
What is the area? PLEASE HELP
Answer:
14mm×20mm=280mm²
14mm×12mm/2=84mm²
3.14×10²mm=314mm²
280m²+84mm²+314mm²=678mm²
Answer:
521mm^2
Step-by-step explanation:
First, separate the shapes.
-Half circle= diameter of 20, radius 10
-Rectangle= 14x20
-Triangle= (32-20)x14= 12x14
Then, calculate
Circle equation= (pi)r^2= (pi)(10)^2= 314.16 -> divide by 2 for half circle= 157.1
Rectangle= 14x20=280
Triangle= (12x14)=168 -> Divide by two because it's a triangle= 84
Add 157 + 280 + 84 and you get 521
25 ≥ 5u u = 5
True of false ( show work )
Answer:
true
Step-by-step explanation:
plug in u. u=e
25>= 5x5
25>=25
true
What is the surface area of the right cone below?
The surface area of the right cone in terms of pi is 176π units².
How to calculate the surface area of a cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The surface area of a cone is expressed as;
Surface area = πrl + πr²
Where r is the radius of the base, l is the slant height of the cone and π is constant pi.
From the diagram:
Radius r = 8 units
Slant height h = 14 units
Surface area =?
Plug the given values into the above formula and solve for surface area:
Surface area = πrl + πr²
Surface area = ( π × 8 × 14 ) + ( π × 8² )
Surface area = ( π × 112 ) + ( π × 64 )
Surface area = 112π + 64π
Surface area = 176π units²
Therefore, the surface area is 176π units².
Option A)176π units² is the correct answer.
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Currently, there are 1,460 wolves in Scataway National Park. If the population of wolves is growing at a rate of 6% every year,
which function represents the number of wolves in Scataway National Park in tyears?
OA W0 = 1,460(1.06)
B. WO = 1,460(0.94)
OC M6 = 1,460(0.06)
OD. WO = (1,460)(1.06)
Answer:
[tex]P(t) = 1460(1.06)^t[/tex]
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for a population after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
Currently, there are 1,460 wolves in Scataway National Park.
This means that [tex]P(0) = 1460[/tex]
Growing at a rate of 6% every year:
This means that [tex]r = 0.06[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 1460(1+0.06)^t[/tex]
[tex]P(t) = 1460(1.06)^t[/tex]
Answer:
Step-by-step explanation:
The cost of 6 pens is $3.60. What would 2 dozen cost?
$14.40. And then you have the tax. :D
Have A Great Day.
The cost of 2 dozen pens will be "$14.4".
Given:
Cost of 6 pens,
$3.60As we know,
1 dozen = 12then,
12 dozen = [tex]12\times 2[/tex]= [tex]24[/tex]
Now,
→ The cost of 1 pen will be:
= [tex]\frac{3.60}{6}[/tex]
= [tex]0.6[/tex] ($)
hence,
→ The cost of 24 pens (2 dozen) will be:
= [tex]0.6\times 24[/tex]
= [tex]14.4[/tex] ($)
Thus the above solution is right.
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A blue bag has 2 times as many marbles as a red bag. The blue bag has 6 marbles.
How many marbles are in the red bag?
Answer:
3
Step-by-step explanation:
Please help!!!! ASAP!! I’ll give brainliest!!!
Answer:
First column 35
Second column 60
It is 91.6083916% likely that the soil sample contains organic matter
Step-by-step explanation:
700 -655= 35
300 -240= 60
655 +60 = 715
715÷655 = 0.916083916
0.916083916 x 100 = 91.6083916%
If your earned income for 2021 will be $84,686, Calculate what you will pay
in Social Security and Medicare taxes if Social Security is taxed at 6.2% at a
maximum taxable income of $142,800 and Medicare is taxed at 1.45%.
Answer:
5250.53 social security, 1227.95 Medicare
Step-by-step explanation:
84686x.062=5250.53 in social security
84686x.0145=1227.95 in Medicare
solve the system of equations, -4x+3y= -2
the answer is x=1/2+3y/4
Answer:
x:(1/2,0)
y:(0,-2/3)
this is the points in the graphic
Someone help me out with this
Answer:
v = 729 in³
Step-by-step explanation:
v = 9 * 9 * 9
v = 729 in³
Which of the following is the solution to the compound inequality below?
3x + 4 213 or 2x-13-11
Answer:
C. x is greater than or equal to 3 or x is less than or greater than -5
Solve (x – 3)^2 = 5
please help ASAP
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x^2−6x+9=5
Step 2: Subtract 5 from both sides.
x^2−6x+9−5=5−5
x^2−6x+4=0
Step 3: a=1, b=-6, c=4
1x^2+−6x+4=0
Step 4: Quadratic formula (a) =1, b=-6, c=4
x= 6±√20 /2
Step 4: Last Step
x=3−√5
Explanation in words:
The first step of solving (x – 3)^2 = 5 is to use the quadratic formula. So the first step is to Simplify both sides of the equation which is the (x−3)^2. Our answer will led up to 5 after that.
Moving on to step 2 we will have to now subtract the 5 from both sides. So 5−5 = 0. So in this step, our answer is now led up to 0.
Now on the step 3 we will now have to use the formula named "quadratic formula". So in this case we will solve this equation with that formula a=1, b=-6, c=4. At the end our answer will led up to x=3−√5.
Answer:
x=3+√5
x=3−√5
Hope this helps.
Answer:
Step-by-step explanation:
IG you wanted to solve for X ? there are two answers ofc,
x= 3-[tex]\sqrt{5}[/tex]
x=3+[tex]\sqrt{5}[/tex]
What transformations were applied to ABCD to obtain A'B'C'D?
Answer:
Step-by-step explanation:
The answer is B; 90°
Option C is the correct transformation to transform ABCD to A'B'C'D'.
What are rotation and translation?Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.
Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.
here, we have,
Rotation
Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.
Vertical Translation
After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.
Horizontal Translation
The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.
Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.
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Arrivals of cars at a gas station follow a Poisson distribution. During a given 5-minute period, one car arrived at the station. Find the probability that it arrived during the last 30 seconds of the 5-minute period g.
Answer:
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
Step-by-step explanation:
The car is equally as likely to arrive during each second of the interval, which means that the uniform distribution is used to solve this question.
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X \geq x) = \frac{b - x}{b - a}[/tex]
5-minute period
This means that [tex]a = 0, b = 5*60 = 300[/tex]
Find the probability that it arrived during the last 30 seconds of the 5-minute period.
300 - 30 = 270. So
[tex]P(X \geq 270) = \frac{300 - 270}{300 - 0} = 0.9[/tex]
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
A. The mean absolute deviation is 6.
B. The mean absolute deviation is 2.
C. The mean absolute deviation is 12.
ОО
D. The mean absolute deviation is 14.
Answer:
its B if you are doing the big test
Step-by-step explanation:
The mean absolute deviation is 2.
What is mean absolute deviation?'The mean absolute deviation is the mean distance between each data value and the mean of the data set.'
According to the given problem,
Mean of the given data set = 14
Absolute deviation of mean from each data point,
⇒ ( 9 - 14 ) = 5
⇒ ( 13 - 14 ) = 1
⇒ ( 14 - 14 ) = 0
⇒ ( 15 - 14 ) = 1
⇒ ( 15 - 14 ) = 1
⇒ ( 18 - 14 ) = 4
Mean absolute deviation = [tex]\frac{5+1+0+1+1+4}{6}[/tex]
= [tex]\frac{12}{6}[/tex]
= 2
Hence, we can conclude, the mean absolute deviation of the given data set is 2.
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Teresa's sugar cookie recipe calls for 2 1/3 cups of sugar. How much
sugar will she need to make 2 1/2 batches?
Answer:
5 5/6
Step-by-step explanation:
Multiply 2 1/3 by 2 1/2. The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).
2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7. Place that over the denominator, 3. So 2 1/3 = 7/3.
2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5. Place that over the denominator, 2. So 2 1/2 = 5/2.
Multiply 7/3 by 5/2.
[tex]\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}[/tex]
Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over"). The whole number part is 5 and the left over fraction part is 5/6.
5 5/6
Which rule explains why these triangles are congruent?
Answer:
SSS
Step-by-step explanation:
You can tell by the 2 dashes side and the one dash if that makes sense
Answer: SAS
Step-by-step explanation:
Simplify: (9wº + 4w - 4)+(2w° +6w +9) A 1 1w3 - 2w -13 B 11wº+ 10w +5
Answer:
I believe it’s option c!
Step-by-step explanation:
Correct me if I’m wrong!
Order the temperatures for the week from hottest to coldest: 25 degrees, 2 degrees below zero, -16 degrees, and 40 degrees above zero.
A. -2°, -16°, 25°, 40°
B. -16°, -2°, 259, 16°
C. 40°, 25°, -16°, -2°
D. 40°,25°, 2°, -16°
E. 40°, 250, -2°, -16°
Answer:
C. 40,25,-16,-2 Celsius
Find the Experimental Probability of Spinning a 4
Answer:
....................................,..............................,................................,...................................,...........................,..................,......,,,.,.................................
Step-by-step explanation:
Which of the following ordered pairs are solutions to the system of equations below?
(3x + 5y = 14
y = 1/2x + 5)
O (2.4)
0 (-2,4)
O (2,6)
O (-2,6)
Answer:
(- 2, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 5y = 14 → (1)
y = [tex]\frac{1}{2}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)
3x + 5([tex]\frac{1}{2}[/tex] x + 5) = 14
3x + [tex]\frac{5}{2}[/tex] x + 25 = 14
[tex]\frac{11}{2}[/tex] x + 25 = 14 ( subtract 25 from both sides )
[tex]\frac{11}{2}[/tex] x = - 11 ( multiply both sides by 2 )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 into (2) for corresponding value of y
y = [tex]\frac{1}{2}[/tex] × - 2 + 5 = - 1 + 5 = 4
solution is (- 2, 4 )
3. Find mZS.
Q= 5x + 2)
P= 10x - 3)
(7x - 11)=ºR
(13x - 31)º=S
(8x - 19)=T
Answer:
∠S = 151
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540
Or 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
This is the equation we will use to solve for x
Step 1 combine like terms
10x = 5x + 7x + 13x + 8x = 43x
-3 + 2 - 11 - 31 - 19 = -62
We now have 540 = 43x - 62
Step 2 add 62 to each side
-62 + 62 cancels out
540 + 62 = 602
we now have 602 = 43x
Step 3 divide each side by 43
43x / 43 = x
602 / 43 = 14
we're left with x = 14
Finally we plug in 14 for x in the given expression for ∠S
∠S = 13x - 31
* substitute 14 for x *
∠S = 13 ( 14 ) - 31
∠S = 13 * 14 = 182
182 - 21 = 151
Thus, ∠S = 151
The measure of ∠S is equal to 151°.
What is a shape?In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.
As per the given data:
We are given the diagram of a shape and all its internal angles.
As the given shape is having 5 sides, it will be a pentagon.
The sum of all internal angles in a pentagon is equal to 540°.
∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°
⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
= 43x - 62 = 540
= 43x = 602
x = 14
To find the measure of ∠S.
∠S = 13x - 31
∠S = 13(14) - 31
∠S = 151°
The measure of ∠S is equal to 151°.
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