Answer:
[tex]f(g(-6))=2\sqrt{10}[/tex]
Step-by-step explanation:
first we need to find g(-6)
[tex]g(x)= x^2\\\\g(-6)=(-6)^2\\\\g(-6)=36[/tex]
so g(-6)=36
so we need to find f(36)
[tex]f(x)=\sqrt{x+4} \\\\f(36)=\sqrt{36+4} \\\\f(36)=\sqrt{40}\\\\f(36)=\sqrt{4}* \sqrt{10} \\\\f(36)=2\sqrt{10}[/tex]
so that's answer
[tex]f(g(-6))=2\sqrt{10}[/tex]
81x^7/9x^3 a. 9x^10 b. 9x c. 9x^4 d. 81x^7 9
Answer:
c
Step-by-step explanation:
[tex]\frac{81x^2}{9x^3}\\=\frac{81}{9}*\frac{x^7}{x^3} \\=9*(x^{7-3}) \\=9x^4[/tex]
Answer:
c. 9x⁴
Step-by-step explanation:
aⁿ/aˣ = aⁿ⁻ˣ
81x⁷ / 9x³ = 81/9 x⁷⁻³
= 9 x⁴
c. 9x⁴
A student uses the ratio of four oranges to6 fluid ounces to find the number of orange she needed to make 24 fluid ounces of juice the student writes this proportion for over six equals 24/16 explain the error in the students work
Answer:
they switched the terms 24 is term b and 16 is term a
please someone help me to prove this.
Answer: see proof below
Step-by-step explanation:
Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ
Use the Sum/Difference Identities:
sin(α + β) = sinα · cosβ + cosα · sinβ
cos(α - β) = cosα · cosβ + sinα · sinβ
Use the Unit circle to evaluate: sin45 = cos45 = √2/2
Use the Double Angle Identities: sin2Ф = 2sinФ · cosФ
Use the Pythagorean Identity: cos²Ф + sin²Ф = 1
Proof LHS → RHS
LHS: 2sin(45 + 2A) · cos(45 - 2A)
Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)
Unit Circle: 2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]
Expand: 2[(1/2)cos²2A + cos2A·sin2A + (1/2)sin²2A]
Distribute: cos²2A + 2cos2A·sin2A + sin²2A
Pythagorean Identity: 1 + 2cos2A·sin2A
Double Angle: 1 + sin4A
LHS = RHS: 1 + sin4A = 1 + sin4A [tex]\checkmark[/tex]
In which career would you most likely apply concepts from geometry? A. food critic B. social worker C. radio DJ D. computer game designer
Answer:
computer game designer
Step-by-step explanation:
even though it may seem fun it takes more skill then a person thinks, plus anything that involves shapes involves geometry
shape=geometry
Answer:
computer game designer
Step-by-step explanation:
computers use simple shapes like squares and cube, and then they customize it to make games.
What is slope - intercept form and what do the variables represent?
Answer:
Definition and Equation
This form of the equation of a line is called the slope-intercept form. The y-intercept of a line (b), is the y-coordinate of the point where the graph of the line crosses the y-axis. As we have seen in the Wild About Cupcakes example, it is the value of y when x = 0.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
Answer: Hi!
Slope - intercept form is a type of equation (or formula.) It shows you how to graph a line and find the slope and y - intercept of that line.
Slope - intercept form looks like this: y = mx + b
M represents the slope of the line. B represents the y - intercept.
The y - intercept is where the line would intercept the y - axis. The slope is kind of like the angle the line is at (For example: it slopes downward.)
Hope this helps!
Which of the following is an equivalent expression of 76543−4? Question 1 options: 176543−4 765434 1765434 765436
Answer:
[tex] \frac{1}{76543^4} [/tex]
Step-by-step explanation:
We are given base that is raised to a negative power of 4, [tex] 76543^{-4} [/tex].
Another way to rewrite this is as indicated as follows: thus, [tex] a^{-x} = \frac{1}{a^x} [/tex], where, a is the base, and x is the exponent.
Therefore, an equivalent expression of [tex] 76543^{-4} [/tex] = [tex] \frac{1}{76543^4} [/tex]
Evaluate the expression 2(8 − 4)2 − 10 ÷ 2 please help
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
2(8-4)2 - 10 divided by 2 = 11
An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton?
Answer:
Yes, the bridge will hold 1 ton.
Step-by-step explanation:
The ratio of the scale of the model to the real bridge = 1:4
The test model shows the model can take 8000 ounces
The real bridge will therefore take 8000 x 4 = 32000 ounces
but,
16 ounces = 1 pound
32000 ounces = [tex]x[/tex] pounds
==> [tex]x[/tex] = 32000/16 = 2000 pounds
also,
2000 pounds = 1 ton,
therefore, the bridge will hold 1 ton
Answer:
it would be able to hold 1 ton
Step-by-step explanation:
Problem Fernanda wants to tile her 5 m × 2.5 m 5 m×2.5 m5, start text, space, m, end text, times, 2, point, 5, start text, space, m, end text room. She has two options, granite, and marble. Granite costs 600 600600 rupees per square metre and marble costs 1000 10001000 rupees per square metre. What is the additional cost of using marble to tile the floor instead of granite? rupees
Answer:
5000 rupees
Step-by-step explanation:
Given the following :
Dimension of room = 5m × 2.5m
Cost of granite = 600 rupees per square meter
Cost of marble = 1000 rupees per square meter
Additional cost of using marble instead of granite :
Area of room = Area of rectangle = Length * width
Area of room = 5m × 2.5m = 12.5m^2
Cost of using granite:
Area of room × cost of granite per square meter
12.5 × 600 = 7500 rupees
Cost of using marble:
Area of room × cost of marble per square meter
12.5 × 1000 = 12,500 rupees
Difference in cost :
(12500 - 7500) rupees = 5000 rupees
Additional cost incurred if marble is used = 5000 rupees
George's total points is 5 less than susan's total points. Does geroge need more points or fewer susan points?
Answer: Need more points.
Step-by-step explanation:
If George's total point is 5 less than susan's points then George needs more points to make up to susan or pass susan's points.
For example ,
g = s - 5 where g is George's points and s is susan's point.
As you can see for G to catch up with s you will need 5 more points.
A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister? 84 cubic inches 136 cubic inches 220 cubic inches 304 cubic inches
Answer:
The correct option;
136 cubic inches
Step-by-step explanation:
The dimension of the rectangular flour canister are;
Length = 5 1/2 inches (5.5 inches)
Width = 4 inches
Height = 10 inches
The dimensions of the smaller sugar canister
Length = 3 1/2 inches (3.5 inches)
Width = 3 inches
Height = 8 inches
The volume of a cube is given by the relation;
V = Length × Width × Height
Therefore, we have;
The volume of the rectangular flour canister = 5 1/2 × 4 × 10 = 220 in³
The volume of the rectangular sugar canister = 3 1/2 × 3 × 8 = 84 in³
The difference in volume between the two canisters = 220 in³ - 84 in³ = 136 in³
The difference in volume between the two canisters = 136 in³
Answer:
Yeah, what they said. Above.
Step-by-step explanation:
Which of the the following three points are collinear
Answer:
P,M,R
Step-by-step explanation:
collinear points are two or more points that form a straight line
Option - B is the correct answer.
We have the following figure given in the question.
We have to determine which three points are collinear.
What are Collinear points?Three or more points are said to be collinear if they lie on a single straight line.
According to question, we have to check which three points lie on a straight line.
It can be seen that two set of points - (P, M, R) and (N, M, O) lie on the same straight line. Of the options mentioned one is - (P, M, R).
Hence, the correct option is Option - B.
To solve more questions on Collinear points, visit the link below -
https://brainly.com/question/13069924
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What is the correct definition of a line segment?
O A a figure in which every point is a fixed distance from a given center
B a figure that connects two points and has a fixed distance
C a figure that extends in two directions on forever
Da figure that has one endpoint and extends in one direction
Answer:
B
Explanation:
Line segments do not extend or extract, they come together to form 1 line instead of going in one/two directions forever.
Which set of integers is in the right order from least to greatest?
-8,8,6,|-7|,5
|-7|,-8,8,6,5
-8,5,6,|-7|,8
5,6,8,-8,|-7|
Answer:
-8, 5, 6 , |-7|, 8
Step-by-step explanation:
We can solve the absolute functions to make it easier to determine which set is from least to greatest
-8, 8, 6, 7, 5 x
7, -8, 8, 6, 5
-8, 5, 6, 7, 8
5, 6, 8, -8, 7
Therefore the group of order integers from least to greatest is -8, 5, 6 , |-7|, 8
evaluate the expression for the given value of x.
2x-6;x=9
Answer:
12.
Step-by-step explanation:
2x - 6; x = 9.
2(9) - 6
= 18 - 6
= 12.
Hope this helps!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{x = 12}}}}[/tex]Step-by-step explanation:
Given,
x = 9
Now, let's find the value of x
[tex] \sf{2x - 6}[/tex]
Plug the value of x
⇒[tex] \sf{2 \times 9 - 6}[/tex]
Multiply the numbers
⇒[tex] \sf{18 - 6}[/tex]
Subtract 6 from 18
⇒[tex] \sf{12}[/tex]
Hope I helped!
Best regards!!
HELP PLEASE
Through any ________ non collinear points there is exactly one plane.
If two points lie in a plane, then _______
If two planes intersect; they intersect in exactly one _______
Answer:
a.three
b.the line containing them lies in the plane.
c.one point
Jack plays basketball for 8 minutes and makes 14 points. If he plays for a total of 21 minutes, approximately how many points will Jack make?
So he makes 14 points per 8 minutes, and you need to find how many points he scores in 21 minutes.
[tex]\frac{8}{14} = \frac{21}{x}[/tex]
To get from 8 to 21, you have to multiply by 2.625
So do the same thing to the denominator; 14 × 2.625 = 36.75
Since 0.75 point is no point so you round down.
Jack scores 36 points in 21 minutes.
♡ Hope this helps! ♡
❀ 0ranges ❀
Answer:
x =36.75 points or approximately 37 points
Step-by-step explanation:
We can use a ratio to solve
8 minutes 21 minutes
----------------- = ----------------
14 points x points
Using cross products
8x = 14*21
8x =294
Divide by 8
8x/8 = 294/8
x =36.75 points or approximately 37 points
I have to solve for x how do I do this
Answer: [tex]x = \frac{\pi}{4} \ \text{radians}, \ \ y = \frac{\sqrt{2}}{2}[/tex]
Note: pi/4 radians is equal to 45 degrees
===========================================
To get this answer, you can use the unit circle to see that at 45 degrees or pi/4 radians, the sine and cosine value are both [tex]\frac{\sqrt{2}}{2}[/tex]
You could also use your calculator to graph y = sin(x)-cos(x) to find the x intercept in the interval [tex]0 < x < \frac{\pi}{2}[/tex] to find the approximate x intercept to be x = 0.70710678
Then note how [tex]\frac{\sqrt{2}}{2} \approx 0.70710678[/tex]
-----------------------------
Or you could do the following steps
sin(x) = cos(x)
sin^2(x) = cos^2(x)
sin^2(x) = 1 - sin^2(x)
sin^2(x) + sin^2(x) = 1
2sin^2(x) = 1
sin^2(x) = 1/2
sin(x) = sqrt(1/2)
sin(x) = sqrt(2)/2
Again you'll have to turn to the unit circle, or some reference sheet, to determine the x value that makes the last equation above to be true. That x value is x = pi/4 radians.
Look at the image.
Point F, point B, and point C are linears.
|AD|= |FB|= |BC| , [FD] is a perpendicular of [AC] .
Angle DFC= 12°
find the value of angle BAC= x
(with detail please)
ans:39
Tap on the photo
first prove triangle BHC similar to FDC.Reason(AA)
then,provrSBH and GBH congruent(SAS)
CB=CG
CBG is an isolesis triangle
angle G and CBG is X
angle BCG=180-90-12=180-78=102
X=(108-102)/2=39
Answer:39°
Step-by-step explanation:
If you know some properties of circle you may solve it like this:
Since ∠CDF = 90°, FC is the diameter of the circle passing through C, D and F.
So B is the centre of the circle mentioned above as B is the mid-point of FC.
Then we have BF = BC = BD since they are all radii of the same circle.
∠BDF = ∠BFD = 12°
∠BDA = 90° + 12° = 102°
∠BDA + ∠BAD + ∠ABD = 180°
102° + x + x = 180°
x = (180° - 102°)/2 = 39°
To issacchoy1234: Nvm if you don't understand, this will be taught in 2nd term of S4 ;)
Choose your three favorite ice cream flavors. If you want a cone with two dips, how many different combinations of flavors could you have?
Answer:
6
Step-by-step explanation:
3 x 2
Given N is between M and P. If MP = 15 and MN = 6, determine NP
Answer:
NP= 9
Step-by-step explanation:
MP = 15
MN = 6
Let NP be x
MN+NP=MP
6+x=15
x=15-6
x=9
The value of NP is 9
What is the image of (-8,3) after a reflection over the y-axis?
Answer:
refection in the y axis
(-x,y)
therefore (-8,3)
becomes (8,3)
factorize
ab(ab-bc)+bc(bc-ab)
Answer:
(ab-bc)²
Step-by-step explanation:
ab(ab-bc)+bc(bc-ab) = ⇒ distribution(ab)² - ab*bc + (bc)² - ab*bc = ⇒ regrouping(ab)² - 2ab*bc + (bc)² = ⇒ applying (x-y)² = x² -2xy +y² formula(ab-bc)² ⇒ final resultAnswer:
(ab - bc)^2.
Step-by-step explanation:
ab(ab - bc) + bc(bc - ab)
= ab(ab - bc) - bc(ab - bc)
= (ab - bc)(ab - bc)
= (ab - bc)^2
Se vendieron para una función en el teatro 255 entradas a $130,antes del comienzo de la función,hubo 5 devoluciones,pero luego se vendieron dos entradas más¿cuantas personas asistieron a la función?¿cuanto dinero se recaudó?
Answer:
Asistieron 252 personas
Se recaudó una cantidad de $ 32760.
252 people attended the show.
$ 32760 amount was raised.
Step-by-step explanation:
Spanish
Número total de entradas = 255
Costo de un boleto = $ 130
Costo total = Número total de boletos * Costo de 1 boleto
= 255 * 130 = $ 33150
Entonces se devolvieron 5 boletos y se vendieron dos más. La cantidad devuelta fue (5-2) * 130 = $ 390
Restando $ 390 de $ 33150 da $ 32760.
Asistieron 252 personas.
Como
255-5 + 2 = 252
y
Se recaudó una cantidad de $ 32760.
Esto también se puede resolver multiplicando = $ 130 * 252 = $ 32760
English
Total number of tickets = 255
Cost of one ticket = $ 130
Total Cost = Total Number of tickets * Cost of 1 ticket
= 255 * 130= $ 33150
So 5 ticket was returned and two more were sold. The amount returned was (5-2) * 130= $ 390
Deducting $ 390 from $ 33150 gives $ 32760.
252 people attended the show.
As
255-5 + 2= 252
and
$ 32760 amount was raised.
This can also be solved by multiplying= $ 130 *252= $ 32760
The graph represents the heights of two climbers on a
climbing wall over a 12-minute time period.
How high did Abby climb above their original starting
position?
The Climbing Wall
24
O 8 feet
O 15 feet
O 18 feet
22
20
18
O 22 feet
16
14
2
Height (feet)
Abby's climb
8
Brynn's dimb
6
4
2
+
7
1 2 3
4
5
6
8
9
10
11
12
Time (min
Answer22:
Step-by-step explanation:
edge2021
The height Abby climb above their original starting position is 20 feet.
How do we make graph of a function?Suppose the considered function whose graph is to be made is
f=f(x) f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values
f=f(x) f(x)
are plotted on the vertical axis.
They are together plotted on the point
f(x)) (x,y) = (x, f(x))
This is why we usually write the functions as:
f(x) y = f(x)
We are given that;
Time= 12min
Now,
To find how high Abby climbed above their original starting position, we need to look at the graph and find the highest point of Abby’s climb.
We can see that Abby’s climb is represented by the blue line on the graph.
The highest point of Abby’s climb is at (6, 22), which means that after 6 minutes, Abby reached a height of 22 feet.
Since the original starting position is at (0, 2), which means that at the beginning, Abby was at a height of 2 feet, we can subtract 2 from 22 to find how high Abby climbed above their original starting position.
Abby climbed 22 - 2 = 20 feet above their original starting position.
Therefore, by the graph the answer will be 20 feet.
Learn more about graphing functions here:
https://brainly.com/question/14455421
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19) A submarine ascended from 56.8 meters under the sea level to 27.4 meters under the sea level.
distance it moved between two positions. Use the "distance on the number line "formula.
Answer:
29.4 meters
Step-by-step explanation:
Given the following :
A submarine ascended from 56.8 meters under the sea level to 27.4 meters under the sea level.
distance it moved between two positions. Use the "distance on the number line "formula
Initial Position or distance of submarine before ascension = 56.8 meters
Final position after ascension = 27.4 meters
The distance moved by the submarine between the two positions can be obtained by.
(Initial distance - Final distance)
(56.8 - 27.4) = 29.4 meters
The box plots below show attendance at a local movie theater and high school basketball games:
Two box plots are shown. The top one is labeled Movies. Minimum at 100, Q1 at 130, median at 165, Q3 at 185, maximum at 200. The bottom box plot is labeled Basketball games. Minimum at 135, Q1 at 225, median at 248, Q3 at 275, maximum at 300.
Which of the following best describes how to measure the spread of the data?
A. The IQR is a better measure of spread for movies than it is for basketball games.
B. The standard deviation is a better measure of spread for movies than it is for basketball games.
C. The IQR is the best measurement of spread for games and movies.
D. The standard deviation is the best measurement of spread for games and movies.
Answer:
D
Step-by-step explanation:
can someone help please if right will be marked as brainiest
Answer:
(x,y) = (2/3 , 26/3) .. so no I'm guessing
Step-by-step explanation:
{ y = x = 8 , y=7x+4
= x + 8= 7 x = 4
= x=2/3
= y= 2/3+8
= y=26/3
= )x,y) = 2/3, 26,3
A regular hexagon has vertices at the coordinates listed below. Find the perimeter of the hexagon
(-12, -8).(-12, 7), (0, 16), (12,7), (12, -8), (0, -17)
78
99
90
114
Answer:
Perimeter of the hexagon = 90 Unit
Step-by-step explanation:
Given:
A(-12, -8). B(-12, 7), C(0, 16), D(12,7), E(12, -8), F(0, -17)
Find:
Perimeter of the hexagon
Computation:
Length = √(x1 - x2)² + (y1 - y2)²
AB = √(-12 + 12)² + (-8 - 7)²
AB = 15
BC = √(-12 + 0)² + (7 - 16)²
BC = 15
CD = √(0 - 12)² + (16 - 7)²
CD = 15
DE = √(12 - 12)² + (-7 - 8)²
DE = 15
EF = √(12 - 0)² + (-8 + 17)²
EF = 15
FA = √(0 + 12)² + (-17 + 8)²
FA = 15
Perimeter of the hexagon = AB + BC + CD + DE + EF + FA
Perimeter of the hexagon = 15 + 15 + 15 + 15 + 15 + 15
Perimeter of the hexagon = 90 Unit
can you guys please help me out with these threee
Answer:
-3x+14≥3-2x
-3x+2x≥-14+3
-x≥-11
x≥11
8[2x/2-1/4]≤14
8[2x-1/4]≤14
16x-8/4≤14
16x-8≤56
16x≤56+8
16x≤64
x≤64/16
x≤4