Answer:
strangely worded question....
[tex]361^{1/2} = \sqrt{361}[/tex]
Step-by-step explanation:
=========================================================
Explanation:
Notice how (19)^2 = 19*19 = 361
This shows that 19 is a square root of 361. We can say [tex]\sqrt{361} = \sqrt{19^2} = 19[/tex]
Similarly, (-19)^2 = (-19)*(-19) = 361. The two negatives cancel each other out. So that's why there are two solutions to [tex]x^2 = 361[/tex] which are x = 19 and x = -19.
So far that accounts for answer choices B and D.
-------------------------------------------
The other two answers are [tex]-361^{1/2}[/tex] and [tex]361^{1/2}[/tex] (choices C and F) because anything to the 1/2 power represents a square root.
[tex]x^{1/2} = \sqrt{x}[/tex]
anything to the 1/3 power is a cube root
[tex]x^{1/3} = \sqrt[3]{x}[/tex]
anything to the 1/4 power is a fourth root
[tex]x^{1/4} = \sqrt[4]{x}[/tex]
and so on.
-------------------------------------------
Side note: For choice C, the exponent is done first before we apply the negative. So technically we could say [tex]-1*(361)^{1/2}[/tex] for choice C to mean the same exact thing. If your teacher said [tex](-361)^{1/2}[/tex] then this would not be an answer because this results in a non-real number.
Given a sphere with radius r, the formula 4x1/2 gives
A. the volume
B. the surface area
C. the radius
D. the cross-sectional area
Answer:
c. the radius
Step-by-step explanation:
To calculate the radius of a sphere:
r = d x ½
where d = diameter
If g(x) = 2(x − 4), find the value of x if g(x) = 20
Answer:
x=14
Step-by-step explanation:
g(x) = 2(x − 4)
Let g(x) = 20
20 = 2(x − 4)
Divide each side by 2
20/2 = 2(x-4)/2
10 = x-4
Add 4 to each side
10+4 = x-4+4
14 =x
which is the graph of g(x) = sqrt x-16
Answer:
Step-by-step explanation:
I am not sure if you are asking for the graph of
√(x-16) that has a x intercept at (16,0)
or
√ x -16 that has a y intercept at (0, -16)
b. 14 divided by 5/6
Answer:
16.8 or 16 whole 4/5
Step-by-step explanation:
14 divided by 5/6
take reciprocal
14 x 6/5
84/5
16.8
Factorize no g, h, j, k, m, n
answer =
=3a²-16ab+13b²
=3a²-(13+3)ab+13b²
=3a²-13ab-3ab+13b²
=a(3a-13b)-b(3a-b)
=(3a-13b)(a-b)
Answer:
even I got confused in question no. j
no worry rest all are solved .
all the questions are solved by middle term splitting method .
I'm unsure if I got the correct answer, mind if you help?
Answer:
Yes, you got the correct answer, it's y=-4
help help help I'll mark u BRAINLIEST SOLVE:3x² +5x−2≤0
Answer:
-2 <= x <= 1/3
Step-by-step explanation:
it is the same as for equations.
the solution for a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
our parameters here are
a = 3
b = 5
c = -2
so,
x = (-5 ± sqrt(25 - -24))/6 = (-5 ± sqrt(49))/6 = (-5 ± 7)/6
x1 = (-5 + 7)/6 = 2/6 = 1/3
x2 = (-5 - 7)/6 = -12/6 = -2
since we are looking for smaller or equal, points of 0 will be part of the solution.
now we need to check each side of these points on the x-axis, if they are true or not to the inequality.
left of -2 : let's pick -3
3×(-3)² + 5×-3 -2 = 3×9 - 15 - 2 = 27 - 15 -2 = 10
this is NOT <= 0, so this interval does not fit.
similar, right of 1/3 : let's pick 1
3×1² + 5×1 - 2 = 3 + 5 - 2 = 6
this is NOT <= 0, so this interval does not fit either (as expected, as normally either both sides fit, or both fail).
lastly, in the middle between -2 and 1/3 : let's pick 0
3×0² + 5×0 - 2 = -2
this IS <= 0, so the interval between -2 and 1/3 fits.
. Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world. It rises 450 ft over a horizontal distance of 1,000 ft. a. What is the percentage grade of this hill? Round to the nearest tenth of a percent.
Answer: 50%
Step-by-step explanation:
From the question, we're given the information that Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world and that it rises 450 ft over a horizontal distance of 1,000 ft.
Therefore, the percentage grade of this hill will be calculated as the height over the length and this will be:
= 450/1000 × 100
= 45%
= 0.45
= 0.5 to nearest tenth
= 50% to nearest tenth.
Best answer gets brainliest and 5 stars
Answer:
No, because 6² + 8² ≠ 12²
Step-by-step explanation:
In a right angled triangle,
Perpendicular² + Base² = Hypotenuse² (pythagoras theorem)
But in the given triangle; 6² + 8² ≠ 12²
36 + 64 ≠ 144
100 ≠ 144
Perpendicular² + base² ≠ hypotenuse²
Thus the given triangle is not right angled.
Not looking for answer but does anyone know this specific topic in math
Answer:
This is called system of equations.
Step-by-step explanation:
This combines two equations and then lines them up to a system.
Answer:
Step-by-step explanation:
matrix
or
vector geometry
1/5 of a certain number is added to 5½ the same as when ⅙ of the number that is subtracted from 30⅖find the number
Step-by-step explanation:
1%2F5n + 51%2F5 = 302%2F5 - 1%2F6n
make the 3rd term an improper fraction
1%2F5n + 51%2F5 = 152%2F5 - 1%2F6n
multiply equation by 30, cancel the denominators, resulting in:
6n + 6(51) = 6(152) - 5n
6n + 306 = 912 - 5n
6n + 5n = 912 - 306
11n = 606 is the number
n = 606/11
n = 55 1/11
Answer:
68
Step-by-step explanation:
let unknown number be x
⅕x + 5½= 30⅖ - ⅙x
⅕x + 11/2= 152/5 - ⅙x
collect like terms
⅕x+⅙x= 152/5 - 11/2
[tex] \frac{11}{30}x = \frac{249}{10} [/tex]
cross multiply
30 * 249=(11 * 10)x
7470=110x
x=7470/110
x= 68
Someone help me on this, thats my illustration for it its a lil long
The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.
We have this given info:
A = 25a = 13.2b = 25.5Let's use the law of sines to find angle B
sin(B)/b = sin(A)/a
sin(B)/25.5 = sin(25)/13.2
sin(B) = 25.5*sin(25)/13.2
sin(B) = 0.81642164
B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)
B = 54.72817392 or B = 180 - 54.72817392
B = 54.72817392 or B = 125.27182608
When rounded to the nearest whole degree, we get B = 55 or B = 125.
However, I'll use the slightly more accurate values of B for the next two sections.
---------------------------------------
Let's consider the case that B = 54.72817392
This would have to mean
A+B+C = 180
C = 180-A-B
C = 180-25-54.72817392
C = 100.27182608 which rounds to C = 100
Through the law of sines we can say
c/sin(C) = a/sin(A)
c = sin(C)*a/sin(A)
c = sin(100.2718 2608)*13.2/sin(25)
c = 30.73327084 which rounds to c = 30.7
One solution is
A = 25, B = 55, C = 100
a = 13.2, b = 25.5, c = 30.7
As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.
---------------------------------------
Now we'll consider the case that B = 125.27182608
We follow the same steps as the previous section
A+B+C = 180
C = 180-A-B
C = 180-25-125.27182608
C = 29.72817392 which rounds to C = 30
and
c/sin(C) = a/sin(A)
c = sin(C)*a/sin(A)
c = sin(29.72817392)*13.2/sin(25)
c = 15.48842618 which rounds to c = 15.5
The other solution is
A = 25, B = 125, C = 30
a = 13.2, b = 25.5, c = 15.5
Check out the diagrams below.
Help please me please help me
Answer: (3, 18)
Step-by-step explanation: Where the lines corss the x does not go over 10 so the only other option is a 3. If you cut the box hori in half in you mind, the top half being 15-20 and the bottom half bring 10-14, then you can see the lines cross on the top half. Meaning it’s at 18 not 12.
The Boeing777-300ER flies between Auckland and Los Angeles. It has 246 Economy
class seats, 50 Premium Economy seats and 44 Business Premier seats. Out of the 340
seats in total, what percentage are Economy seats?
Answer:
72.35%
Step-by-step explanation:
246/340 = .723529
Just multiply it by 100 to get the percentage
.723529 x 100 = 72.3529
which inequality is represented on the number line shown?
Answer:
A
Step-by-step explanation:
b/ of shaded region can make to closed inequality & it's not closed to make open inequality.
Anybody know how to do the last 2. Pls its due in the morning!
19°
The unknown angle be x
x=59°(Exterior opposite angles..20:-
If unknown angle be x
[tex]\\ \sf\longmapsto x+76=180[/tex]
[tex]\\ \sf\longmapsto x=180-76[/tex]
[tex]\\ \sf\longmapsto x=104°[/tex]
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 4x + 2 The function g of x going through 0, negative 2 and 1, 3 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.
Answer:
g(x) has the larger slope.
Step-by-step explanation:
f(x) = 4x + 2
- so its slope = 4. ( from general form y = mx + c where m = slope).
The slope of g(x) = (3 - (-2) / (1 - 0)
= 5.
Use the parabola tool to graph the quadratic function f(x)=(x−5)2+1 . Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
Vertex (5, 1)
Example of second point (4, 2)
Step-by-step explanation:
THe equation given is in vertex form so it will be easy to find the vertex
(x-5)^2+1
Vertex is at h,k and vertex form is y = a(x−h)^2 + k
x coordinate will be 5
y coordinate will be 1
vertex - (5, 1)
You can plot a second point by plugging in any number into the x or y
For example, if you set x to be 4,
(4-5)^2+1
1^2+1
1+1=2
Find the multiplicative inverse (i.e., reciprocal) of 0/9
Answer:
undefined, you cannot divide by zero
Step-by-step explanation:
Resuelve los siguientesTriángulos semejantes, Obteniendo el valor de la incógnita faltante en cada caso
Answer:
hjk
Step-by-step explanation:
Help me plss.. I already give the picture...
Answer:
Step-by-step explanation:
Hello! I have an algebra 1 dba tomorrow (flvs). I am just a little nervous and want to be a little more prepared. Does anybody know what questions I will be asked? Btw this is for algebra 1 module 4. Thank you :)
Answer:
Im not sure what is in the algebra 1 module 4 but for algebra 1 you should study how to graph equations, solve system of equations with substitution and elimination. those topics, at least for e, have been a little tricky
Step-by-step explanation:
A sector of a circle has an arc measurement of 110°. The area
of the sector is 117 cm What is the diameter of the circle?
Answer:
22.08 cm
Step-by-step explanation:
Area = pi*r^2*(angle/360)
r=11.04, d=22.08
Shannon is planning to tile a rectangular kitchen countertop that is 24 inches wide and 64 inches long. She determined that 1 tile will be needed for each 4-inch-by-4-inch region. What is the minimum number of tiles that will be needed to completely cover the countertop to its edges
Answer:
96
Step-by-step explanation:
[tex]\frac{24*64}{4*4}=96\\[/tex]
or
[tex]\frac{24}{4}=6, \frac{64}{4}=16\\6*16=96[/tex]
The minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The number of tiles will be calculated by calculating the area of the rectangular kitchen and the area of a tile then dividing the whole area by the area of a tile.
Area of kitchen,
A(k) = 64 x 24 = 1536 Square inches
Area of a tile,
A(T) = 4 x 4 = 16 square inches.
Divide the area of the kitchen by the area of a tile.
N = 1536 / 16 = 96 tiles
Therefore, the minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.
To know more about an area follow
https://brainly.com/question/25292087
#SPJ2
Juan Sanchez, an inventory clerk for a lumber yard, often rounds inventory figures for easier handling. Round the number from the inventory list to the nearest ten.
a. grade 1 oak 519 ft.
b. grade 2 oak 795 ft.
c. grade 1 pine 323 ft.
d. grade 2 pine 477 ft. Appe
Answer:
a. grade 1 oak 519 ft. 520
b. grade 2 oak 795 ft. 800
c. grade 1 pine 323 ft. 320
d. grade 2 pine 477 ft. 480
find x. A. 21√2 B. 7 C. 21√3 over 2 D. 21√2 over 2
Answer:
D
Step-by-step explanation:
for you to find x you first have to find the adjacent of the 45° angle you can do that by using the other triangle.using the sin ratio
sin60=opposite/hypotenuse
sin60=a/7√3
a=10.5
then after you have found the adjacent you can use the cos ratio
cos45=adjacent/hypotenuse
cos45=10.5/x
cos45x/cos45=10.5/cos45
x=14.849
which is the same as 21√2 over 2
I hope this helps
Answer:
D
Step-by-step explanation:
Using sine ratio in left right angled triangle to find the altitude a of the large triangle which is common to both right triangles and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2a = 21 ( divide both sides by 2 )
a = [tex]\frac{21}{2}[/tex]
Using the cosine ratio in the right side triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{a}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = [tex]\sqrt{2}[/tex] a = [tex]\sqrt{2}[/tex] × [tex]\frac{21}{2}[/tex] = [tex]\frac{21\sqrt{2} }{2}[/tex] → D
Any help is appreciated (:
Answer: True
Step-by-step explanation:
The number is going down in a way that cannot be written as a straight line so it is a nonlinear.
What is the correct answer!
Answer:
The answer is B.
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
Find the value of (-1/2)³
Answer:
-1/8
Step-by-step explanation:
(-1/2) ^3
(-1/2)(-1/2)(-1/2)
-1/8
our of 1000 new born
babies, there are 514
boys, what will be the
empirical probability
the newly born baby is
(i) a boy (ii) a girl
Look a view at this picture