Answer:
C. 0.5
Step-by-step explanation:
The diameter of B is from -2 to 2, which = 4 units.
The diameter of B' is from -1 to 1, which equals 2 units.
2/4 = 1/2 = 0.5 scale factor.
how do i solve for x? thank you!
Answer:
[tex]x = \frac{7}{2}[/tex]
Step-by-step explanation:
[tex]6^{x-1} = 36 \sqrt6\\\\6^{x-1} = 6^2 \times 6^{\frac{1}{2}}\\\\6^{x-1} = 6^{2 + \frac{1}{2} }[/tex] [tex][ \ a^x \times a^ y = a^{x+ y} \ ][/tex]
[tex]x - 1 = 2 + \frac{1}{2}[/tex] [tex][ \ b^x = b^y => x = y \ ][/tex]
[tex]x = 2 + \frac{1}{2} + 1\\\\x = 3 + \frac{1}{2} \\\\x = \frac{6+ 1}{2} \\\\x = \frac{7}{2}[/tex]
Answer:
x = 3.5
Step-by-step explanation
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] and [tex]\sqrt{a}[/tex] = [tex]a^{\frac{1}{2} }[/tex]
Then
36[tex]\sqrt{6}[/tex] = 6² × [tex]6^{\frac{1}{2} }[/tex] = [tex]6^{(2+0.5)}[/tex] = [tex]6^{2.5}[/tex]
Thus
[tex]6^{x-1}[/tex] = [tex]6^{2.5}[/tex]
Since the bases on both sides are equal, both 6, equate the exponents
x - 1 = 2.5 ( add 1 to both sides )
x = 3.5
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer:
Correct Answer: A.
Step-by-step explanation:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
Consider f(x) = 2x2 + 1 and g(x) = 3x − 6. Which statement about f + g is true?
A. It is a linear function.
B. It is a quadratic function.
C. The domain is x ≥ −3.
D. The range is all real numbers.
Given:
The two functions are:
[tex]f(x)=2x^2+1[/tex]
[tex]g(x)=3x-6[/tex]
To find:
The correct statement about the function [tex]f+g[/tex].
Solution:
We have,
[tex]f(x)=2x^2+1[/tex]
[tex]g(x)=3x-6[/tex]
Adding both functions, we get
[tex]f+g=f(x)+g(x)[/tex]
[tex]f+g=2x^2+1+3x-6[/tex]
[tex]f+g=2x^2+3x-5[/tex]
It is a quadratic function. So, option A is incorrect and option B is correct.
The domain of [tex]f+g[/tex] is all real numbers because it is defined for all real values of x. So, option C is incorrect.
The range of [tex]f+g[/tex] cannot be the all real numbers because it has a minimum value of y as the leading coefficient is positive. So, option D is incorrect.
Therefore, the correct option is B.
The theater sells two types of tickets: adult tickets for $18 and
child tickets for $9.
Last night, the theater sold a total of 221 tickets for a total of
$2466. How many adult tickets did the theater sell last night?
The answer to your question is 137
Question is in photo.
Thanks
Answer:
what do you mean for this question. What do you need help on?
i need help asap Please
Answer: F. is a linear relation.
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
Equation of the eventual line:
(y-4)/(5-4) = x
y-4 = x
y = x + 4
this equation can’t be used to determine the last three values. In fact, for examples:
7 = 2 + 4
7 = 6 (false)
So the relation is non linear
find the value of √(6-3√5)
Answer:
There is no answer
Step-by-step explanation:
because 3√5=6,7082039232 > 6
So 6-3√5 < 0
But √x always >0
So there is no answer
A piece of ribbon is x inches long. Find the total length of 7 equal pieces of ribbon. Express the answer in terms of x.
Answer:
7x
or 7*x
Step-by-step explanation:
The coordinates of point C are . The slope of is . The possible coordinates of point D are and .
Answer:
The answer is below
Step-by-step explanation:
The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD, and point C lies on AB. The length of CD is (root of 10) units.
The coordinates of point C are (-6, 2) (5, 2) (6, -2) (10, 4) . The slope of is -3 -1/3 1/3 3 . The possible coordinates of point D are (4, 5) (5, 5) (6, 5) (8, 3) and (2, 1) (4, -1) (5, -1) (6, -1) .
Solution:
Since CD is the perpendicular bisector of AC, hence line CD is perpendicular to AB and divides line AB into two equal parts.
Point C(x, y) is the midpoint of AB.
hence:
x = (2 + 8) / 2 = 5
y = (3 + 1)/2 = 2
The coordinates of point C = (5, 2)
The slope of line AB is:
slope of AB = (1 - 3) / (8 - 2) = -1/3
Since CD is perpendicular to AB, hence the product of the slope of AB and the slope of CD is -1
slope of AB * slope of CD = -1
slope of CD * -1/3 = -1
slope of CD = 3
Line CD has slope of 3 and pass through C(5, 2). The equation of line CD is:
y - 2 = 3(x - 5)
y = 3x - 13
The possible coordinates of point D are (6, 5) and (4, -1), because this point lie on line CD.
Consider the following system of two equations.
{y=−8x+10
y=x−8
What are the coordinates (x,y) of the solution to the system of equations?
Enter the coordinates in the space provided.
help me with this please. classify the following triangle
A.right
B.isosceles
C.equilateral
D. abtuse
E.acute
F.scalene
Answer:
isosceles triangle
Step-by-step explanation:
Answer:
A, B, and, D
Step-by-step explanation:
I'm not 100% sure but i'm pretty sure these are it.
Hope thus helps!
What is the relationship between the diameter d and circumference c of a circle
Answer:
π × d
Step-by-step explanation:
The relationship between the diameter and circumference is that the circumference is equal to π multiplied by the diameter. This means that our answer is π × d, or the third option
10.
Consider the number 1750
Find the least number which must be added so as to get a perfect square?
Find the square root of the number obtained?
Answer:
if you add 14 to 1750 you will get 1764 which equals 42²
Step-by-step explanation:
Which choice is the range of f(x)=√x−3−1 ASAP
What are biofertilisiers
☆ Bio fertilizer :- Biofertilisers are organisms that enrich the nutrient quality of the soil. The main source f biofertilizers are bacteria, fungi and cyanobacteria.
HOPE IT HELPS ❣️What combination of bracelets does dimitri have?
A kite is staked to the ground and blowing in the wind. It currently has a string let out to a length of 45 meters. It has an altitude of 38 feet. To the nearest tenth of a degree, find the angle of elevation. ______°
Answer:
40.2
Step-by-step explanation:
To better analyze this problem, we can first draw a picture. Looking at the one attached, we can see that the stake is represented by the point in the bottom right of the screen, and the kite is 45 meters away from it, representing the 45. Then, the height is 38, and this is directly above the 45 meters away from the stake.
This forms a right triangle, and we can use sohcahtoa to help use. As we don't have the hypotenuse, we can use tan. Tan(θ) = opposite/adjacent, or 38/45. Thus, arctan(38/45) = θ, and plugging that into a calculator, we get 40.2 as our answer
A duck can fly 2400 m in 10 minutes with the wind. Against the wind, it can fly only 2/3 of this distance in 10 minutes. What is the rate of the wind?
Answer:
The rate (or speed) of the wind is 40 meters per minute.
Step-by-step explanation:
Let's define:
S = speed (or rate) of the duck alone
S' = speed (or rate) of the wind.
When the duck travels with the wind, its speed is:
(S + S')
While when the duck travels against the wind, its speed is:
(S - S')
Also, remember the relation:
Distance = Speed*Time
ok, we know that the duck can travel a distance of 2400 m in 10 minutes with the wind, then:
2400m = (S + S')*10 min
And against the wind, it can travel 2/3 of that distance, then we can write:
(2/3)*2400m = (S - S')*10 min
Then we have a system of 2 equations:
2400m = (S + S')*10 min
(2/3)*2400m = (S - S')*10 min
We want to find the speed of the wind, then we want to find the value of S'.
To solve this, we first need to isolate S in one of the equations.
Let's isolate S in the first one:
2400m = (S + S')*10 min
2400m/10min = (S + S')
240 m/min = S + S'
240 m/min - S' = S
Now we can replace this in the other equation:
(2/3)*2400m = (S - S')*10 min
(2/3)*2400m = ( 240 m/min - S' - S')*10 min
Now let's solve this for S'
(2/3)*2400m/10min = 240 m/min - 2*S'
(2/3)*240 m/min = 240 m/min - 2*S'
2*S' = 240 m/min - (2/3)*240 m/min
2*S' = (1/3)*240 m/min
2*S' = 80 m/min
S' = (80 m/min)/2
S' = 40 m/min
The rate (or speed) of the wind is 40 meters per minute.
Consider the graph. Which inequality best represents the graph?
Answer:
y >= x/2 - 1
Step-by-step explanation:
the slope (rise/run) is 1/2 and the y-intercept is -1 so in point-slope form
y = x/2 - 1 but everything above the line (unshaded part) is valid so y is equal to or greater than.
find the percentage profit when a car was bought for 60,000k and sold for 140,000k.
Step-by-step explanation:
profit = sold price - bought price
= 140,000 - 60,000 k
= 80,000 k
% profit = (80,000/60,000)×100
= 133.33 %
Simplify (4x - 6) - (3x + 6).
Ox- 12
O -X- 12
Ox+ 12
0-x + 12
Answer:
Ox-12
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(4x - 6) - (3x + 6) Remove the brackets
4x - 6 - 3x - 6 Collect like terms
4x - 3x - 6 -6
x - 12
The answer is A
what is 5/8 as a mixed number
Answer:
What is 5/8 x 128? Answer: This is the same as working out 5/8 of 128. Do this by dividing by the bottom numbers, and multiplying by the top number. So 128 divided by 8 is 16, 16 times 5 is 80.
The graph of y - 3x + 2 is:
If f(x) = 4x1/2 , find f(4)
Answer:
f (4) = 8
Step-by-step explanation:
f (x) =2
2 x 4 = 8
PLS HELP GIVING BRAINLIEST
Answer:
1. reflection- a figure is flipped over
2. translation- a figure is slide
3. rotation- a figure is turned
help please on all of these
the answer is on the picture
please help me its due nowww
The angles represented by (2x - 60) and (60 - 2x) cannot be supplementary because their sum add up to zero instead of 180°.
Combining functions: Consider functions f and g.
Answer:
option C
Step-by-step explanation:
Evaluate 5 x3 - 2 + 7 when x = -2.
Answer:
57
Step-by-step explanation:
5|x^³-2|+7
let x=-2
5|(-2)^3-2|+7
work inside the absolute value first
5|-8-2|+7
5|-10|+7
Take the absolute value, which make it positive
5 *10+7
multiply
50+7
=57
nakita ko lng po yan but hope that helpsツ
Montserrat is training for her first race. In her first training week she runs 3 km, and in the second training week she runs 3.5 km. Every week she runs 0.5 km more than the previous one.
a Find how many kilometres Montserrat runs in her 10th training week.
b Calculate the total number of kilometres that Montserrat will have run by her 15th training week.
Answer:8
Step-by-step explanation:
0.5*10=5
3+5=8
a. Montserrat runs 7.5 kilometers in her 10th training week.
b. by her 15th training week, Montserrat will have run a total of 78.75 kilometers.
To find how many kilometers Montserrat runs in her 10th training week, we can use the arithmetic sequence formula to find the nth term:
[tex]a_n = a_1 + (n - 1) * d[/tex]
where:
[tex]a_n[/tex] is the nth term (the number of kilometers in the nth week),
[tex]a_1[/tex] is the first term (the number of kilometers in the first week, which is 3 km),
n is the number of weeks (in this case, 10), and
d is the common difference (the amount by which the distance increases each week, which is 0.5 km).
[tex]a_{10} = 3 + (10 - 1) * 0.5\\a_{10} = 3 + 9 * 0.5\\a_{10} = 3 + 4.5\\a_{10 }= 7.5 km[/tex]
So, Montserrat runs 7.5 kilometers in her 10th training week.
b. Next, to calculate the total number of kilometers Montserrat will have run by her 15th training week, we use the sum of the first n terms formula:
[tex]S_n = (n / 2) * (a_1 + a_n)[/tex]
where:
[tex]S_n[/tex] is the sum of the first n terms (the total number of kilometers run by the nth week),
[tex]a_1[/tex] is the first term (3 km),
[tex]a_n[/tex] is the nth term (which we found to be 7.5 km in her 10th week),
n is the number of weeks (15 in this case).
[tex]S_{15} = (15 / 2) * (3 + 7.5)\\S_{15} = 7.5 * 10.5\\S_{15} = 78.75 km[/tex]
So, by her 15th training week, Montserrat will have run a total of 78.75 kilometers.
To know more about training:
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