Answer:option 3, Y is greater than or = to -1
Step-by-step explanation:
I took it on Edge
The range of [tex]y=\sqrt{x-5} -1[/tex] is [tex][-1,\infty)[/tex].
Given,
[tex]y=\sqrt{x-5} -1[/tex].
We have to find the range of the expression.
Set the radicand in [tex]\sqrt{x-5}[/tex] greater than or equal to 0 to find where the expression is defined.
[tex]\sqrt{x-5} \geq 0[/tex]
[tex]x-5\geq 0[/tex]
Add 5 to both sides of the inequality, we get
[tex]x\geq 5[/tex]
The domain is all values of [tex]x[/tex] that make the expression defined.
Interval Notation:
[tex][5,\infty )[/tex]
Set-Builder Notation:
[tex][x|x\geq 5][/tex]
The range of an even indexed radical starts at its starting point ( 5 , − 1 ) and extends to infinity.
Interval notation:
[tex][-1,\infty)[/tex]
Hence the range of above function is [tex][-1,\infty)[/tex].
For more details on range follow the link:
https://brainly.com/question/8041076
The base is a square,9.6 cm on a side. The height is 6.2. What is the volume?
Answer:
571.392 cm3
Step-by-step explanation:
PLEASEEEE HELPP !!In each figure, a//b . Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain your answer.
Answer:
No it’s not a translation
Step-by-step explanation:
No it’s not a translation because a translation is when you are just moving a shape not resizing or rotating the shape.
Which figure has rotational symmetry? Question 21 options: a) butterfly b) chalkboard c) half of an apple
Answer:
B) Chalkboard.
Step-by-step explanation:
Ok, so basically you need to know what rotational symmetry is. Rotational symmetry is the property a shape has that when rotated some amount of degrees less than 360, it looks the same as it was without being rotated at all.
So, basically it means that the figure can be rotated and it will look as though it hasn't been rotated at all.
Starting off with the butterfly, it is clear that even when rotated it will never look the same as it was without being rotated (you can click on the image rotation function to see this).
Next, looking at the chalkboard, it is obvious that when rotated 180 degrees, it will look the same as it looked without being rotated (click the rotate image button twice). So, this will be our answer.
-
Given the graph of y = f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph of
y = f(x - 4) + 3.
Answer:
The blue point will be at (4, 3)
Step-by-step explanation:
Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.
Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.
Find the coordinates of the midpoint. Please help, thank you!
If a(x) = 3x + 1 and b(x) = sqrt x-4 what is the domain of (b•a)(x)
Answer:
[4, infinity)
Step-by-step explanation:
(b·a)(x) = (sqrt(x - 4)·(3x + 1). The domain of 3x + 1 is "all real numbers," but the presence of the sqrt function limits the input to (b·a)(x) to [4, infinity); recall that the argument of the sqrt function must be zero or greater.
Points A,B,C and D are midpoints of the sides of the larger square. If the smaller square has area 60, what is the area of the bigger square? HELP ASAP!!! Will give brainiest if u get it right!
Answer:
120
Step-by-step explanation:
The area of the smaller square is half of the area of the larger square because it's formed by joining the midpoints. Therefore, the area of the big square is 60 * 2 = 120.
Answer:
120
Step-by-step explanation:
the variables x and y are directly proportional , and y=4 when x=3
Answer:
4/3
Step-by-step explanation:
y = kx
4 = k(3)
4/3 = k3/3
4/3 = k
The constant proportion is 4/3.
Answer:
the correct answer is 20 just took
the test
Identify the distance between points (3,8, 0) and (-2,9,-4), and identify the midpoint of the
segment for which these are the endpoints. Round to the nearest tenth if necessary
A) d-3.5 units; M(-0.5, 8.5.2)
B) d-3.5 units; M(0.5, 8.5.-2)
C) d-6.5 units: M(0.5, 8.5.-2)
D) d-6.5 units: M(-0.5, 8.5.2)
Answer: C) d-6.5 units: M(0.5, 8.5.-2)
Step-by-step explanation:
Distance between points [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex] :
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
The midpoint of the line joining [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex] is given by :-
[tex](\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2},\dfrac{z_1+z_2}{2})[/tex]
The given points : (3,8, 0) and (-2,9,-4)
Distance between points (3,8, 0) and (-2,9,-4):
[tex]D=\sqrt{(-2-3)^2+(9-8)^2+(-4-0)^2}\\\\=\sqrt{25+1+16}\\\\=\sqrt{42}=6.48074069841\approx6.5\text{units}[/tex]
The midpoint of the line joining (3,8, 0) and (-2,9,-4) :
[tex](\dfrac{3+(-2)}{2},\dfrac{8+9}{2},\dfrac{0+(-4)}{2})=(\dfrac{1}{2},\dfrac{17}{2},-2)\\\\=(0.5, 8.5.-2)[/tex]
Hence, the correct answer is C) d-6.5 units: M(0.5, 8.5.-2).
Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!
Answer:
The volume of the composite figure is:
312 ft^3Step-by-step explanation:
To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.
VOLUME OF THE CUBE.
Finding the volume of a cube is actually simple, you only must follow the next formula:
Volume of a cube = base * height * widthSo:
Volume of a cube = 6 ft * 6 ft * 6 ft Volume of a cube = 216 ft^3VOLUME OF THE PYRAMID.
The volume of a pyramid with a square base is:
Volume of a pyramid = 1/3 B * hWhere:
B = area of the base.
h = height.
How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:
Volume of a pyramid = 1/3 36 ft^2 * 8 ft Volume of a pyramid = 96 ft^3Finally, we add the volumes found:
Volume of the composite figure = 216 ft^3 + 96 ft^3 Volume of the composite figure = 312 ft^3A company wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 100 customers and asks them about their level of satisfaction with the company.what type of sampling method is use
Answer:
The type of sampling method used is:
Simple random sampling.Step-by-step explanation:
A simple random sampling is a method where the pollster, in this case, the company, from a finite or infinite population (the costumers in the database) takes a representative sampling (in this case 100 costumers) to apply the survey and obtain data that can be used to deduce the way of thinking of all the costumers, though to actually identify this way of thinking, the sampling must be proportional to the size of the population, on the contrary, the data obtained won't be useful to reveal the real level of the satisfaction (In this case securely the database is 10,000 costumers or less, then the sampling is at least the 1% of the population). Another characteristic is all the people in the population should have the same opportunity to be part of the sampling, this is identified in the paragraph where says that the selection was random.
Answer:
B. simple random sampling
Step-by-step explanation:
right on edge
2. Points A, B and C are all on the
circumference of the circle.o
represents the centre.
DA and DB are tangents to the
circle. Angle BDO = 31
Work out the size of angle.
Question
Points A, B and C are all on the
circumference of the circle. O represents the centre. DA and DB are tangents to the circle. Angle BDO = 31°
Work out the size of angle x
Answer:
62°
Step-by-step explanation:
To solve for the above question, we would be using circle theorems.
Step 1
Angle OBD = 90° This is because a radius and a tangent meet at 90°
Step 2
The sum of Angles in a triangle = 180°
180° = Angle OBD + Angle BDO + Angle BOD
180° = 90° + 31° + Angle BOD
Angle BOD = 180° - (90° + 31°)
= 180° - 121°
Angle BOD = 59°
Step 3
Angle BOD = Angle AOD because they are congruent ,therefore, Angle AOD = 59°
Step 4
The sum of angles of a straight line = 180°
Angle BOD, Angle AOD and Angle x are angles on a straight line
Hence,
180° = Angle BOD + Angle AOD + Angle x
180° = 59° + 59° + x
x = 180° - ( 59 + 59)°
x = 180° - 118°
x = 62°
Therefore Angle x = 62°
What is the values of b and c?
Answer: b=31, c=5
Step-by-step explanation: if this is a equilateral triangle then all the sides when split in half will be the same as the other side
GPAs at CCSU are normally distributed with a mean of 2.38 and a standard deviation of 0.45. Find the z-score for a GPA of 3.06. and discuss the significance of the z-score.
Step-by-step explanation:
Z-score = (score-mean)/standard deviation
= (3.06-2.38)/0.45
= +1.51
The significance of z-score will be "1.5111".
Given values are:
Mean,
[tex]\mu = 2.38[/tex]
Standard deviation,
[tex]\sigma = 0.45[/tex]
GPA,
[tex]\bar x = 3.06[/tex]
Now,
→ The z-score will be:
= [tex]\frac{\bar x - \mu}{\sigma}[/tex]
By putting the given values, we get
= [tex]\frac{3.06-2.38}{0.45}[/tex]
= [tex]\frac{0.68}{0.45}[/tex]
= [tex]1.5111[/tex]
Learn more about standard deviation here:
https://brainly.com/question/5778359
PLATO: Type the correct answer in each box. The vector is first dilated by a factor of 2.5 and then rotated by pi/2 radians. If the resulting vector is [a / b], then a = __ and b = __
Answer:
a = -1, b = -2.5
Step-by-step explanation:
Rule for the dilation of a vector [tex]\binom{x}{y}[/tex] by a scale factor of k is,
(x, y) → (kx, ky)
BY using this rule for a vector [tex]\binom{-1}{4}[/tex] by a scale factor of 2.5
[tex]\binom{-1}{4}[/tex] → [tex]\binom{-2.5}{1}[/tex]
Followed by the rotation by 90° Or [tex]\frac{\pi }{2}[/tex] radians,
Rule for rotation of a vector by 90° is,
(x, y) → (-y, x)
By this rule vector [tex]\binom{-2.5}{1}[/tex] will become,
[tex]\binom{-2.5}{1}[/tex] → [tex]\binom{-1}{-2.5}[/tex]
If we represent this vector by [tex]\binom{a}{b}[/tex],
Then a = -1 and b = -2.5 will be the answer.
Answer:
a= -10 b= -2.5
Step-by-step explanation:
if straykids hyunjin had 50,000 won and wanted to by lots of 45rings for 500 won how much will he have left? b) if changbin and han had 145 lightsicks and sold 75? how much lighsticks will they have now?
Answer:
a) he would have 27500 won
b) changbin and han would have 70 lightsticks
Step-by-step explanation:
a)
multiply 45 rings by 500 won to get the total expense
45 x 500 = 22500
then subtract 22500 won from 50000 to get the amount left after the purchase
50000 - 22500 = 27500
this results in 27500 won total
b)
subtract 75 from 145 to get the amount left
145 - 75 = 70
Answer:
Hyunjin has 27,500 left.
Changbin & Han have 70 lightsticks left.
Step-by-step explanation:
A) 45 × 500 = 22500 50,000 - 22500 = 27500
B) 145 - 75 = 70
Identify the domain of the function shown in the graph.
A. x is all real numbers.
B. X>0
O c. -1 ≤ x ≤ 0
D. -1 ≤ x ≤ 1
Answer:
A. x is all real numbers.
Step-by-step explanation:
The domain is the input values for the function, in this case the x values
As we can see in the graph, x can be any real value
Answer:
A) x is all real numbers
Step-by-step explanation:
Domain = x
In the graph, x seems to continue infinitely in both directions. This means that x is all real numbers.
Find the value of the trigonometric ratio, tan C.
Answer:
4/3
Step-by-step explanation:
TanC = opposite/adjacent
TanC = 40/30 ➡ 4/3
convert 2 quarts/minute to gallons per hour (15 points)
Answer:
30 us liquid gallons / hour
Step-by-step explanation:
Multiply the volume / time value by 15
Answer:
30 gallons per hourStep-by-step explanation:
2 quarts per minute is:
2/4 gallons per minute is:
0.5 gallons per minute is:
0.5*60 gallons per hour is:
30 gallons per hourDavid bought a bag of candy that contains 300 pieces. He wants to split the bag among his 21 students. How many pieces of candy will each student receive? How many extra pieces of candy will David have for himself?
Answer:
each student will receive 14 pieces of candy and that leaves 6 pieces for himself.
14*21=294
294+6=300
A gambler loses $100 Saturday night and wins $65 on Sunday. What is the gambler’s total loss or gain? Express your answer as an integer.
Answer:
-35 dollar net loss
Step-by-step explanation:
Since the gambler won $65 but still lost $100, we can see that we would still have a negative net loss.
The average rate of change for an exponential function grows by equal [blank1] per unit interval. FILL IN THE BLANK...
Answer:
Factors
Step-by-step explanation:
For example, consider the exponential function
y =2(4)ˣ
Let's make a table of a few values.
[tex]\begin{array}{rcc}\mathbf{x} & \mathbf{y} & \textbf{Factor}\\-2 & \frac{1}{8}& \\& &\mathbf{4} \\-1 & \frac{1}{2} & \\& &\mathbf{4} \\0 & 2 & \\& & \mathbf{4}\\1 & 8 & \\& &\mathbf{4} \\2 & 32 & \\\end{array}[/tex]
The average rate of change for the exponential function grows by equal factors of 4 per unit interval.
y = 6x^2 + 19x - 7 Solve for zeros as well. Please hurry, i'm on a schedule.
Answer:
Step-by-step explanation:
y=6x2+19x-7
factorise...
you will get,
y= 6x2-2x+21x-7
y=2x(3x-1) + 7(3x-1)
y=(2x+7), (3x-1)
hence zeroes are,
y=(-7/2), y=1/3
pls mark brainliest if it helps
Draw a vector representing the course of a ship that goes 50 miles on a
course with direction 2400.
Answer:
The answer is below
Step-by-step explanation:
We have a vector with a magnitude of 50 miles and a direction of 240 °.
To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 240 ° is in the third quadrant (180 ° - 270 °), that is, it would be 30 ° (270 ° - 240 °) with respect to to the y axis negative.
Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 50 miles, that is, this value would be the hypotenuse.
The value on the x-axis can be calculated using the sine of the angle, like this:
sin 30 ° = x / 50
x = sin 30 ° * 50
x = 25, how is the third quadrant would be -25
Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:
y ^ 2 = 50 ^ 2 - 25 ^ 2
y ^ 2 = 1875
y = 43.3, -43.3 because it must be located in the fourth quadrant
Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (-25, -43.3).
Then I leave a sketch of what it would be:
the volumes of two similar solids are 729m^3 and 125m^3. the surface area of the larger solid is 324m^2. what is the surface area of the smaller solid? A. 56m^2 B. 100m^2 C. 500m^2 D. 200m^2
Answer:
B. Is the Answer 100 m²
Step-by-step explanation:
The ratio of the two solid is 729/125
The ratio of the surface area = (729/125)^(2/3)=81/25
Surface area = 25 * 324 / 81 = 100 m²
Rewrite the equation by completing the square
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
Step-by-step explanation:
eq. of any line parallel to y=1/2 x-4 is
y=1/2 x+a,where a is constant.
∵ it passes through (4,5)
5=1/2(4)+a
5=2+a
a=5-2=3
so reqd. eq. is y=1/2 x+3
Answer:
Equation of the line is
y = 1/2x + 3Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
[tex]y = \frac{1}{2} x - 4[/tex]
comparing this equation with the above formula
Slope or m is 1/2
Since the lines are parallel their slope are also the same
That's
m = 1/2
Equation of the line using point (4,5) is
[tex]y - 5 = \frac{1}{2} (x - 4) \\ y - 5 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 + 5 \\ y = \frac{1}{2} x + 3[/tex]
Hope this helps you.
You would like to have $4000 in 3 years for a special vacation following graduation by making deposits at the end of every six months in an annuity that pays 4.5% compounded semiannually. a. Use one of the formulas below to determine how much you should deposit at the end of every six months.
Answer:
666.70 at the end of every six months.
Step-by-step explanation:
At the end of every six months deposit amount is 666.70
What is compound interest ?Compound interest is the interest paid on both principal and interest, compounded at regular intervals.
Formula of compound interest :
[tex]A = P(1+\frac{r}{100} )^{n}[/tex]
where,
A = final amount
P = initial principal
n = time in years
r = rate per annum
According to the question
Final Amount needed for a special vacation (A) = $4000
Time in years needed to collect Amount (n) = 3 years
Rate per compounded semiannually (r) = 4.5%
Substituting values in formula for six months
Now time (n) = 3 * 6 = 18 years
using formula of compound interest
[tex]A = P(1+\frac{r}{100} )^{n}[/tex]
[tex]4000 = P(1+\frac{4.5}{100} )^{18}[/tex]
[tex]4000 = P(1.045 )^{18}[/tex]
now,
P = 666.70
Hence, at the end of every six months deposit amount is 666.70
To know more about compound interest here:
https://brainly.com/question/14295570
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Find the measure of the remote exterior angle.
Answer:
m∠x = 128°
Step-by-step explanation:
Step 1: Find n
We use Supplementary Angles and Sum of Triangle Interior Angles to find n.
180 - (198 - 5n) = 5n - 18
m∠z + m∠y + m∠x₁ = 180°
(5n + 37) + (n + 7) + (5n - 18) = 180
Step 2: Solve for n
Solve by combining like terms and properties.
11n + 26 = 180
11n = 154
n = 14
Step 3: Plug in n into m∠x equation
198 - 5(14)
198 - 70
m∠x = 128°
The answer is D) 128
The remote exterior angle here is x. The remote exterior and is always equivalent to the remote interior angles. Thus, x = y + z.
198 - 5n = 5n + 37 + n + 7
198 = 11n + 44
154 = 11n
n = 14
x = 198 - 5n
x = 198 - 70
x = 128 degrees
Hope it helps, and would greatly appreciate it if you could mark this brainliest if it does <3
18
20
86
94
It’s eighth grade math
Answer:
x = 18
Step-by-step explanation:
We can use Alternate Exterior Angles Theorem to find the angle above x. It would equal 94°. We then use Supplementary Angles to find x:
5x - 4 + 94 = 180
5x + 90 = 180
5x = 90
x = 18
Answer:
I am in 6th, doing 7th grade math, but can get up to 12th grade math lol.
x = 18
Step-by-step explanation:
First step: 5x - 4 + 94 = 180
Second step: 5x + 90 = 180
Last step: 5x = 90
So, therefore, your correct answer is: x = 18