=========================================================
Explanation:
f(x) is the outer function, so the final output -8 corresponds to f(x)
We see that f(-4) = -8 in the first column of the table. I'm starting with the output and working my way backward to get the input. So we started with -8 and worked back to -4.
Then we move to the g(x) function to follow the same pattern: start with the output and move to the input. We start at -4 in the g(x) bubble and move to 3 in the x bubble.
In short, g(3) = -4
So,
f(g(x)) = f(g(3)) = f(-4) = -8
We see that x = 3 leads to f(g(x)) = -8
please help find the surface area. i will give brainliest
Answer:
The first one is 145 in^2 and the other is 250 in^2
Step-by-step explanation:
For the first one you have to find the base first so 5*5=25, then you find the area of the other faces and since theres 4 of them dont bother diving them by 2 and just do it twice, so the faces would be 120 in^2 in all add it together and you get 145
For the second one its the same thing but instead of a square base its a triangle so theres only 3 faces. 8*10 = 80/2 =40, 2 of the faces are 140 in all and to find the last one just 14*10=140/2=70 and you add them together and get 250
PLEASEEEEEE I NEEED HELLPPPPP IM BEGGGINGGGG SOMONE PLEASEEEEE HELPPPPPPPPPPPP
Answer:
2nd option:
8x+2y=32
x+y=7
Step-by-step explanation:
Answer:
It is in fact the second one.
Step-by-step explanation:
It says that he bought a total of 7 tickets and it cost $32.
x represents the number of adult tickets and y represents the number of chid tickets.
So:
x + y = 7 because the adding the number of adult and child tickets should equal the total number bought.
and
8x + 2y = 32 because each adult ticket was 8 dollars and each child was 2 and the total should add up to 32
Can someone please help me with this?? I will like your comment!
Answer:
[tex]A_{\Delta ABP}=\sin \theta[/tex]
Step-by-step explanation:
Let the center of the circle be O.
Recall that the area of a triangle can be given by:
[tex]\displaystyle A=\frac{1}{2} ab\sin C[/tex]
Where C is the angle between the two sides.
ΔABP is equal to the sum of ΔAPO and ΔBOP.
Let a = OP and b = OB. Since this is the unit circle and PO and BO are radii, they both equal one. C will be θ. Hence, the area of ΔBOP is:
[tex]\displaystyle A_{\Delta BOP}=\frac{1}{2}(1)(1)\sin \theta=\frac{1}{2}\sin\theta[/tex]
For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:
[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}(1)(1)\sin\left(\pi -\theta\right)=\frac{1}{2}\sin\left(\pi -\theta\right)[/tex]
However, note that sin(π - θ) = sin(θ). Hence:
[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}\sin\left(\theta\right)[/tex]
Hence, the area of ΔABP is:
[tex]\displaystyle A_{\Delta ABP}=\frac{1}{2}\sin \theta+\frac{1}{2}\sin\theta =\sin \theta[/tex]
Find 3 values that satisfy the inequality 4x - 3 < 25
Answer:See explanation
Step-by-step explanation:
The values that can be used to satisfy the inequality 4x - 3 < 25 will be calculated thus. We simply have to get the value of x and this will be:
4x - 3 < 25
4x < 25 + 3
4x < 28
x < 28/4
x < 7.
Therefore, the values that must satisfy the equation must be less than 7 such as 1, 2, 3, 4, 5 and 6.
The solution to the system of equations is (0, 4).
(PIC 1)
TRUE or FALSE
The solution to the system graphed below is (1, -2).
(PIC 2)
TRUE OR FALSE
Answer:
1 is false
2 is true
Step-by-step explanation:
The solution is the coordinate where the two lines intersect
For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations
For the second image the lines intersect at (1,-2) therefore the statement is true
Write a system of equations to describe the situation below, solve using substitution, and fill in the
blanks
Whitney wrote a business plan for an entrepreneurship class, and now she has to make bound
copies. Whitney could use a printer who charges a setup fee of $44 and $7 for every copy printed.
Another possibility is to go to the office supply store, where she could pay an up-front fee of $34
and $8 per copy. There is a certain number of copies that makes the two options equivalent in
terms of cost. How many copies is that? How much would the copies cost?
For
copies, the cost is $
Can u help me please??
Answer:
Let C represent the total cost of each deal
Let T be the number of trips down the water slide
C = 32 for the 1st deal since the cost is the same regardless of how much she rides
C = 18 + T for the 2nd deal
To find when the two costs are equal set them equal to each other and solve for T
32 = 18 + T
T = 14 trips
The cost must be $32 since that is the only cost possible for the 1st deal
Step-by-step explanation:
If right get brainly!! 20 points!!
TR (N)*2
or in other words triangle number of N times 2
Answer:
NEDD POITS SERY
Step-by-step explanation:
In a class of 35 students 1/5
of total students like to play cricket, 2/5 of students like to play football, remaining students like to play volleyball
i) How many students like to play cricket
ii) How many students like to play football?
iii) How many students like to play volleyball?
if you answer correctly you wil get brainliest plus 10 points
if you give wrong answer your wrong answer will be reported
only people who know maths well can give correct answer.
Good luck
Answer:
7 play cricket
14 play football
21 play volleyball
Step-by-step explanation:
The measure of the angle turns through 1 over 9 of the cicle the angle measure can be found using the expressions
Answer:
1-9 the answer is -8of the circle
Step-by-step explanation:
In the following figure determine the volume of the triangular prism
A.192cm3
B.384cm3
C.296cm3
D.322cm3
A square garden plot has an area of 75 ft. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest
tenth of a foot.
9514 1404 393
Answer:
a. 5√3 ft
b. 8.7 ft
Step-by-step explanation:
The area is the square of the side length, so the side length is the square root of the area:
s = √A
s = √(75 ft²) = √(25·3 ft²) = √(3·(5 ft)²)
s = 5√3 ft ≈ 8.7 ft . . . . . . side length of garden
Find the value of x. Round to the nearest.
Answer:
Solution given:
perpendicular [P]=x
base[B]=9
hypotenuse [H]=41
Now.
By using Pythagoras law
H²=P²+B²
41²=x²+9²
x²=41²-9²
x=[tex]\sqrt{1600}=40[/tex]
x=40 is a required answer.
12. *
12. The Earth is estimated to be 4,540,000,000
years old. What is the Earth's age in scientific
notation?
a) 4.54 x 10°
b) 4.54 x 10-14
c) 4.54 x 1011
d) 4.54 x 1010
A
С
D
Please help
Answer:
4.54 x 1010
Hope this helps!
solve all for brainiest
Answer:
A 9
B 4.5
C 4.5
D 2.25
Step-by-step explanation:
I need to be 20 letters long so ya
Select the correct answer from each drop-down menu. In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the company’s production for the coming year, v, with respect to the number of days, d. The rate of change of the function representing the number of vehicles manufactured for the coming year is , and its graph is a . So, the function is a function.
Answer:
Given:
v = 150d
v represents company's production for the coming year
d represents the number of days
150 is the daily production
The rate of change of the function representing the number of vehicles manufactured for the coming year is CONSTANT (150) , and its graph is a STRAIGHT LINE . So, the function is a LINEAR function.
Step-by-step explanation:
Which expression is the radical form of x^3/4
Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? 359+558 Round the two numbers to the nearest ten. An estimate of the sum is:______. The actual sum is How reasonable is your estimate when compared to the actual answer? A. Not reasonable. The estimate seems too low compared to the actual answer B. Reasonable. The estimate seems a little tower compared to the actual answer. C Reasonable. The estimate sooms a little higher compared to the actual answer. D. Not reasonable. The estimate seems too high compared to the actual answer
Answer: C. Reasonable. The estimate sooms a little higher compared to the actual answer
Step-by-step explanation:
The actual answer to 359+558 is 917. On the other hand, 359 to the nearest ten is 360 while 558 to the nearest ten is 560. The addition of the numbers will be: = 360 + 560 = 920
The estimated answer is 920 while the actual number is 917. Therefore, the estimate is reasonable as the estimate sooms a little higher compared to the actual answer.
What is x 7x + 9 = 30
Answer:
x=3
Step-by-step explanation:
7x+9=30
7x=30-9
=21
x=21÷7
=3
In order to evaluate 7 sec(θ) dθ, multiply the integrand by sec(θ) + tan(θ) sec(θ) + tan(θ) . 7 sec(θ) dθ = 7 sec(θ) sec(θ) + tan(θ) sec(θ
Answer:
[tex]\int {7 \sec(\theta) } \, d\theta = 7\ln(\sec(\theta) + \tan(\theta)) + c[/tex]
Step-by-step explanation:
The question is not properly formatted. However, the integral of [tex]\int {7 \sec(\theta) } \, d\theta[/tex] is as follows:
[tex]\int {7 \sec(\theta) } \, d\theta[/tex]
Remove constant 7 out of the integrand
[tex]\int {7 \sec(\theta) } \, d\theta = 7\int {\sec(\theta) } \, d\theta[/tex]
Multiply by 1
[tex]\int {7 \sec(\theta) } \, d\theta = 7\int {\sec(\theta) * 1} \, d\theta[/tex]
Express 1 as: [tex]\frac{\sec(\theta) + \tan(\theta) }{\sec(\theta) + \tan(\theta)}[/tex]
[tex]\int {7 \sec(\theta) } \, d\theta = 7\int {\sec(\theta) * \frac{\sec(\theta) + \tan(\theta) }{\sec(\theta) + \tan(\theta)}} \, d\theta[/tex]
Expand
[tex]\int {7 \sec(\theta) } \, d\theta = 7\int {\frac{\sec^2(\theta) + \sec(\theta)\tan(\theta) }{\sec(\theta) + \tan(\theta)}} \, d\theta[/tex]
Let
[tex]u = \sec(\theta) + \tan(\theta)[/tex]
Differentiate
[tex]\frac{du}{d\theta} = \sec(\theta)\tan(\theta) + sec^2(\theta)[/tex]
Make [tex]d\theta[/tex] the subject
[tex]d\theta = \frac{du}{\sec(\theta)\tan(\theta) + sec^2(\theta)}[/tex]
So, we have:
[tex]\int {7 \sec(\theta) } \, d\theta = 7\int {\frac{\sec^2(\theta) + \sec(\theta)\tan(\theta) }{u}} \,* \frac{du}{\sec(\theta)\tan(\theta) + sec^2(\theta)}[/tex]
Cancel out [tex]\sec(\theta)\tan(\theta) + sec^2(\theta)[/tex]
[tex]\int {7 \sec(\theta) } \, d\theta = 7\int {\frac{1}{u}} \,du}}[/tex]
Integrate
[tex]\int {7 \sec(\theta) } \, d\theta = 7\ln(u) + c[/tex]
Recall that: [tex]u = \sec(\theta) + \tan(\theta)[/tex]
[tex]\int {7 \sec(\theta) } \, d\theta = 7\ln(\sec(\theta) + \tan(\theta)) + c[/tex]
Carlos bought 4 pounds of carrots.
How many ounces of carrots did he buy?
Carlos bought ounces of carrots.
Answer:
64 ounces of carrots
Step-by-step explanation:
4×16=64
Answer:
64 ounces
Step-by-step explanation:
There are 16 ounces in 1 pound.
If you know that 16 ounces is 1 pound, then you know that 4 pounds must be 16 * 4.
16 * 4 = 64 ounces
Challenge: Solve x+3y=-6 for x. Then use your value for x to solve for y.
X=
Y=
Answer:
X = -6 - 3y
Y = -1
Step-by-step explanation: Solve for X first using basic algebra. Plug in X vaalue to original equation and solve. -6 - 3y + 3y = -6. Solve by adding 6 to both sides of the equation and dividing -3y by 3y.
Please help!!
Need to get this done
Given:
Segment AD is perpendicular to segment BC.
D is the midpoint of segment BC.
To prove:
[tex]\Delta BDA\cong \Delta CDA[/tex]
Solution:
The two column proof is shown below:
Statements Reasons
1. [tex]\overline{AD}\perp \overline{BC}[/tex], D is the midpoint of [tex]\overline{BC}[/tex] 1. Given
2. [tex]\overline{BD}\cong \overline{CD}[/tex] 2. Definition of midpoint
3. [tex]m\angle ADB=90^\circ \text{ and }m\angle ADC=90^\circ[/tex] 3. Definition of perpendicular lines
4. [tex]m\angle ADB=m\angle ADC[/tex] 4. Substitution
5. [tex]m\angle ADB\cong m\angle ADC[/tex] 5. Definition of congruence
6. [tex]\overline{AD}\cong \overline{AD}[/tex] 6. Reflexive property
7. [tex]\Delta BDA\cong \Delta CDA[/tex] 7. SAS congruence postulate
Hence proved.
the rectangle prism below has a volume of 464 3/4 cubic meters. a- write an equation that could be used to find the length of the prism b- find the length, show your work.
PLEASE HELP!!
Answer:
ok
Step-by-step explanation:
please mark me brainleast
Find the indicated measure HELP!
Here are two datasets: Dataset A: 64 65 66 68 70 71 72 Dataset B: 64 65 66 68 70 71 720 For dataset A, the mean and median are 68. Looking at dataset B, notice that all of the observations except the last one are close together. Which measure will be affected by this last observation in dataset B
Answer:
Mean will be affected.
Step-by-step explanation:
The mean value of the data set will be affected as it depends on the magnitude of data points and not its position. The median however will not change since it depends on the relative position of data points.
What are the 4 steps to solving an equation?
Answer:
Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.
Step-by-step explanation:
I'm kinda lost here, what do I do when the quadrant is given? CanI have some of these solved at least with steps?
Answer:
See Explaination
Step-by-step explanation:
According To Question
In Quadrant-1 (0* to 90*) ( All the Trignometry Functions are Positive )In Quadrant-2 (90* to 180*) (Only Sine & Cosecant are Positive)In Quadrant-3 (180* to 270*) (Only Tangent & Cotangent Are Positive)In Quadrant-4 (270* to 360*) ( Only Cosine & Secant Are Positive)(Diagram, Please Find In Attachment)
Question 38 . Cos ∅ = 12/13 ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)
Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13
other Five Trignometry Functions Are as FollowSin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12
Question 39 . SinX=-3/4 X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)
Now For Other Trignometry FunctionsFind By Using Basic Formulas
[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4
We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])
So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .
identify EFG
Answer Options:
= 45
= 35
= 22.5
=27.5
Answer:
22.5
Step-by-step explanation:
Inscribed Angle =1/2 Intercepted Arc
F = 1/2 (45)
<F = 22.5
show ur solving steps please
Answer:
Angle BAC corresponds with side length BC
Side length AC will correspond with angle ABC
Step-by-step explanation:
In a triangle, the side length will correspond to the angle opposite it and vice versa.
That is, the side length opposite angle A corresponds to the side of Angle A
Hence, in the triangle given above ;
Angle BAC corresponds with side length BC, because BC is opposite BAC
Side length AC will correspond with angle ABC, because AC is directly opposite angle ABC.
A student records the repair cost for 13 randomly selected TVs. A sample mean of $72.19 and standard deviation of $15.88 are subsequently computed. Determine the 98% confidence interval for the mean repair cost for the TVs. Assume the population is approximately normal.
Answer:
(60.382 ; 83.998)
Step-by-step explanation:
The confidence interval is given as :
Mean ± Margin of error
Mean = 72.19
The margin of error is : Tcritical * s/√n
n = 13 ; s = 15.88
Tcritical at 98%, df = 13-1 = 12 = 2.681
Margin of Error = 2.681 * 15.88/√13 = 11.808
Confidence interval = 72.19 ± 11.808
(60.382 ; 83.998)
