Answer:
The composite function is
[tex](f \circ g)(x) = 3x^2 + 5[/tex]
Step-by-step explanation:
Composite functions:
Suppose that we have two functions, f and g. Their composite is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this question:
We have that:
[tex]f(x) = 3x + 2[/tex]
[tex]g(x) = x^2 + 1[/tex]
The composite function is:
[tex](f \circ g)(x) = f(g(x)) = f(x^2+1) = 3(x^2 + 1) + 2 = 3x^2 + 3 + 2 = 3x^2 + 5[/tex]
The composite function is
[tex](f \circ g)(x) = 3x^2 + 5[/tex]
Write the ratios for sin M, cos M, and tan M
Answer/Step-by-step explanation:
Recall: SOHCAHTOA
✔️Sin M = Opp/Hyp
Reference angle = M
Opp = 3√21
Hyp = 15
Sin M = (3√21)/15
Sin M = √21/5
✔️Cos M = Adj/Hyp
Reference angle = M
Adj = 6
Hyp = 15
Cos M = 6/15
Cos M = 2/5
✔️Tan M = Opp/Adj
Reference angle = M
Opp = 3√21
Adj = 6
Tan M = (3√21)/6
Tan M = √21/2
if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond
a. -4
b. 4
c. 1
d. 5
Answer:
if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond
is -4
Answer:
if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond
its 1 because
Carlie biked 24 miles in four hours. What was Carlie's average speed in miles per hour?
1) 8 miles per hour
2) 4 miles per hour
3) 6 miles per hour
Answer:
6 miles per hour
Step-by-step explanation:
Answer:
6 miles per hour
Step-by-step explanation:
Quick!!!!!!!!!! I don't have long
Answer:
B
Step-by-step explanation:
CORRECT 100%!!!!!!!!!!!!!!!
Answer:
Answer is b w=5
Step-by-step explanation:
What is the area, in square centimeters, of the trapezoid below? 18.2 cm 9.2 cm 8.3 cm
Find the surface area of the prism.can someone help fast , I can’t get this
Answer:
surface area = 84 cm^2
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
9514 1404 393
Answer:
cylinder and cone256π ≈ 804.25 m³Step-by-step explanation:
The figure is a composite of a cylinder added to a cone.
The height of the conical portion is (20 m -14 m) = 6 m. We know that the volume of a cone is 1/3 the volume of a cylinder with the same dimensions. Another way to think of that is the volume of a cone is the same as that of a cylinder of 1/3 the height.
So, this figure has a volume equivalent to that of a 14 m tall cylinder topped by a (6 m)/3 = 2 m tall cylinder. Effectively, we're seeking the volume of a cylinder of radius 4 m and height 16 m.
V = πr²h
V = π(4 m)²(16 m) = 256π m³ ≈ 804.248 m³
The volume of the "silo" is 256π ≈ 804.25 m³.
_____
If you use 3.14 for π, you will get 803.84 m³.
у
= 5
16. Describe the following variation:
O A. y varies directly as X.
O B. y varies directly as the square of x.
O C. y varies inversely as the square of x.
O D. y varies inversely as x.
Answer:
I think it might be D
Step-by-step explanation:
10.
25
xº
40
Solve for x. Round to the nearest tenth
Answer:
51.32
Step-by-step explanation:
∠B = arcsin(b·sin(A)a)
= 0.67513 rad = 38.682° = 38°40'56"
∠C = 180° - A - B = 0.89566 rad = 51.318° = 51°19'4"
c = a·sin(C)sin(A) = 31.22499
please answer them! be quick if you can, thank you.
Answer:
Question one = 35a - 15
Question two = 9
Step-by-step explanation:
Distributive property means to multiply all the numbers inside the parenthesis
by the outside number. 5 x 7a equals 35a and 5 x 3 = 15.
35 x 9 - 315 - 15 = 300
A = 9
There are 75 students. 20% of the students are in a club. How many students are in a club?
Answer:
15
Step-by-step explanation:
please mark brainliest
Answer:
15
Step-by-step explanation:
20% of 75 is 15
please help ASAPPPP
Step-by-step explanation:
root 60 is equivalent to 60 to the exponent 1 over 2
What is the interquartile range of the following data set?
2,7,15, 19, 26, 33, 39, 41, 49, 52
A. 26
B. 30
C. 32
D. 22
Answer:
26
Step-by-step explanation:
*10 POINTS *
find the value of x
x = ___??
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
You can create a proportion with the sides and solve for x:
[tex]\frac{SR}{QR} =\frac{TR}{UR}[/tex]
[tex]\frac{20}{24}=\frac{15}{-4x+10}[/tex]
[tex]\frac{5}{6}=\frac{15}{-4x+10}[/tex]
[tex]-20x+50=90[/tex]
[tex]-20x=40[/tex]
[tex]x=-2[/tex]
Can anyone upload the the solutions of
CLASS 7 LESSON NO - 1 INTEGERS EX 1.2 ALL QUESTION - NCERT
Answer:
https://www.learncbse.in/ncert-solutions-for-class-7-maths-integers-exercise-1-2/
i think thats the one
What are the ordered pairs of the solutions for this system of equations?
Answer:
( 4, 11 ) , ( - 4, 27 )
Step-by-step explanation:
f(x) = x² - 2x + 3
f(x) = - 2x + 19
x² - 2x + 3 = - 2x + 19
x² - 16 = 0
( x + 4 )( x - 4 ) = 0
[tex]x_{1}[/tex] = - 4
[tex]x_{2}[/tex] = 4
f(x) = [tex]y_{1}[/tex] = - 2( - 4 ) + 19 = 27
[tex]y_{1}[/tex] = 27
f(x) = [tex]y_{2}[/tex] = - 2( 4 ) + 19 = 11
[tex]y_{2}[/tex] = 11
( 4, 11 ) , ( - 4, 27 )
What is the measure of
162
A. 324°
B. 162°
O C. 81°
D. 72°
Answer:
81
Step-by-step explanation:
trust me its correct
Answer:
C. 81
Step-by-step explanation:
Just took the test the person is correct
Pls help extra points
Answer:
1
Step-by-step explanation:
mODE IS THE MOST FREQUENT NUMBER.
1 IS THE MOST FREQUEN NUMBER LOL
SORRY FOR CAPS, SOMETHING IS WRONG WITH MY COMPUTER
Answer: 1 is your answer hope this helped and i took a screen shot for ext help
plz make brainly
Step-by-step explanation:
giving brainliest !!!
Answer:
54 cm^2
Step-by-step explanation:
9 cm^2×6 sides=54
Answer:
I think its 54
Step-by-step explanation:
For the function F(x)=|6x+4|−2, evaluate F(8).
Answer:
Answer should be 50.....
Find x
1) 3.38
2)13.99
3)12.59
4)16.09
Answer:
12.59
Step-by-step explanation:
took the got dam tst
can someone help me with these plz
SoundCo makes four different models of after-market radios for commercial trucks. Each radio model includes the base radio, a wiring harness, mounting bracket and mounting hardware. For each LD-1 model that SoundCo sells they generate revenue of $229, but incur costs of $89 for the base radio, $10 for a wiring harness, $8 for a mounting bracket, and $2 for mounting hardware. For each LD-2 model that SoundCo sells they generate revenue of $249, but incur costs of $89 for the base radio, $12 for a wiring harness, $10 for a mounting bracket, and $4 for mounting hardware. For each LD-3 model that SoundCo sells they generate revenue of $259, but incur costs of $99 for the base radio, $15 for a wiring harness, $14 for a mounting bracket, and $6 for mounting hardware. For each LD-4 model that SoundCo sells they generate revenue of $279, but incur costs of $109 for the base radio, $18 for a wiring harness, $20 for a mounting bracket, and $8 for mounting hardware. SoundCo management already has orders for 800 model LD-1 radios, and 700 model LD-3 radios that must be met. Management also decided that they will produce no more than 500 model LD-2 radios, as this model has not been popular with the company's customers. SoundCo has limited production capacity, and will not produce more than 2500 total radios. How many radios of each model does SoundCo produce that maximizes profit and meets their production constraints?
Answer:
SoundCo
Units of radios to produce to maximize profit and meet production constraints:
LD-1 LD-2 LD-3 LD-4 Total
Units to be produced
to maximize profit 800 500 700 500 2,500
Step-by-step explanation:
a) Data and Calculations:
LD-1 LD-2 LD-3 LD-4
Sales revenue $229 $249 $259 $279
Base radio cost $89 89 99 109
Wiring harness 10 12 15 18
Mounting bracket 8 10 14 20
Mounting hardware 2 4 6 8
Total costs $109 $115 $134 $155
Net Income $120 $134 $125 $124
Units to be produced
to maximize profit 800 500 700 500
First:
SoundCo must produce 800 and 700 units of LD-1 and LD-3 respectively to meet customer orders. Given that it has decided not to produce not more than 500 of LD-2, it is left with producing 500 of LD-4 because of the full capacity of 2,500.
If θ is an angle in standard position and its terminal side passes through the point (-4,-5), find the exact value of
cot
θ
cotθ in simplest radical form.
9514 1404 393
Answer:
cot(θ) = 4/5
Step-by-step explanation:
In the polar/rectangular coordinate representation (x, y) ⇔ (r; θ), we know that ...
(x, y) = (r·cos(θ), r·sin(θ))
From the various trig definitions and identities, we also know that ...
cot(θ) = cos(θ)/sin(θ) = (x/r)/(y/r) = x/y
For the given (x, y) = (-4, -5), the cotangent is ...
cot(θ) = -4/-5 = 4/5
1. The Hamiltons are installing a new pool in their backyard. The scale drawing below represents the new pool, where 1 centimeter represents 5 feet. 4 cm 6 cm If the area of the Hamiltons' backyard is 900 square feet, how many square feet of their backyard will NOT be taken up by the pool? Round your answer to the nearest whole number.
Answer:
175
Step-by-step explanation:
Because why would i lie?
The number of square feet of their backyard will NOT be taken up by the pool should be 100 square feet.
Calculation of the number of square feet;Since 1 centimeter represents 5 feet. 4 cm 6 cm And, the area of the Hamiltons' backyard is 900 square feet.
So here it can be like
4cm (5) = 20ft
6cm (5) = 40ft
Now
20ft : 40ft pool
20(40) = 800 square ft
So,
= 900sq ft - 800sq ft
= 100 square feet
Learn more about area here: https://brainly.com/question/17758676
Shawn bought 3 items at the grocery store that cost $3.35, $6.85, and $2.90. After paying the cashier, Shawn received $2.15 in change.
How much did Shawn give the cashier to pay for his purchase?
Answer: Shawn payed the cashier $15.25
Step-by-step explanation:
3+4(5−x)=19−4x+4
How many solutions does the equation have? Explain your answer.
Answer:
3+20-4x=19-4x+4 3+20=19+4 23=23 xeR
what is the value of x
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Consider the reduction of the complex figure with a scale factor of . What is the area of the reduced figure?
(Sorry for the terrible quality photos)
Answer:
25 mm²Step-by-step explanation:
The pink figure has dimensions:
42 mm x 28 mm and the area of 1225 mm²The blue figure has dimensions:
6 mm x 4 mmThe scale factor is the ratio of corresponding sides:
k = 4/28 = 6/42 = 1/7The area's scale factor is
k² = 1/49The area of the reduced figure is:
1225*1/49 = 25 mm²note. It was answered based on the additional information given in the comments (though 41 mm should be 42 mm)
26mm² is area of complex figure.
Answer:
solution:in rectangle
length[l]=6mm
breadth [b]=4mm
area of rectangle=l×b=6×4=20mm²
again in triangle
height[h]=6/2=3mm
base[b]=4mm
area of triangle =1/2 b×h=1/2×3×4=6mm²
total area of composite figure=20mm²+6mm²
=26mm²
What is the height of a triangular base of a paperweight with a volume of 96 cubic inches, length is 8 in and with is 6 inches?
Answer:
4 inches
Step-by-step explanation:
Triangular prism formulas
Volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length. area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.
How to find the height of a triangle - formulas
area = b * l / 2, where b is a base, l - length.
so l = 2 * area / b/w-width.
Solve
1/2 x 6 x 8 x ? = 96
2 x 96 = 192
192/8 = 24
24/6 = 4
length = 4 inches
