Answer:
[tex]Degree = 3[/tex]
Step-by-step explanation:
Given
[tex]k(x) = x + 1[/tex]
[tex]m(x) = x - 4[/tex]
[tex]n(x) = x + 5[/tex]
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
Required
The degree of f(x)
First, calculate f(x)
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]
Expand
[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]
[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]
Further Expand
[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]
Collect like terms
[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]
[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]
The degree of f(x) is the highest power of x.
Hence:
[tex]Degree = 3[/tex]
1. Find the area of a circle with a diameter of 7
cm (Round to the nearest hundredth)
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
38.48
Step-by-step explanation:
Formulas:Area of a circle = [tex]\pi r^2[/tex]
r = [tex]\frac{1}{2}[/tex] diameter
Steps:[tex]\pi (7/2)^2[/tex] [tex]\pi (3.5)^2[/tex] 38.4845.... Thus, our final answer rounded to the nearest hundredth is 38.48 :) Hope this helps!Vicky is studying French. She spends 1 hour reviewing each old chapter. She also spends 1.5 hours learning each
new chapter. She spends at least 10 hours per week studying French. Which graph could represent the possible
number of old chapters Vicky reviews, x, and new chapters Vicky learns, y, each week?
The answer is D
Step-by-step explanation:
The graph B is correct.
What is graph?The pictorial representation of data is called the graph.
Given that, Vicky gives 1 hour reviewing each old chapter and 1.5 hours learning each new chapter.
She spends at least 10 hours per week studying French.
We need to find the graph for this relation,
Let the number of old chapters Vicky reviews be x, and new chapters Vicky learns be y,
Therefore,
x + 1.5 y ≥ 10
Put the graph for the same.
Since the inequality sign is '≥' so the shaded part will be above the line and the inequality sign involves both equal and inequality so the line will be solid line without the dash.
We get the second graph is the correct graph.
Hence the graph B is correct.
Learn more about graphs, click;
https://brainly.com/question/17267403
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−28 = 7b
Solve for b
Tell what you did to find b
Answer:
b= -4
Step-by-step explanation:
Aboard is cut into 12 equal pieces. How many pieces together represent 3/4 of the board? Explain how you arrived at your answer?
Answer:
9 pieces represent 3/ 4 because
3/4 × 12 parts = 9 parts
mark me as brainliest
Answer:
9 pieces
Step-by-step explanation:
12 x 3/4 = 9 or
3/4 converted to a decimal = .75 and 12 x .75 = 9
find the measure for the angle of theta
Answer:
A.
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = θ
Side Adjacent to θ = 8
Hypotenuse = 15
Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.
Thus:
Cos θ = Adj/Hyp = 8/15
Cos θ = 0.5333
θ = Cos^{-1}(0.5333)
θ = 57.7713051°
θ = 57.8° (to nearest tenth)
Answer choices
10%
30%
25%
No links no links I will report
Imagine that the price per gallon of gas with a $7 car wash is $3.32 and the price without a car wash is $3.52 When is it worth it to buy the car wash? When is it worth it if the car wash cost $4
Answer: b and d
Step-by-step explanation:it IS
Hannah factored the expression 24xy + 15y. Her work is shown below.
1. GCF (24xy, 15y) = 3y
2. 24xy/3 = 8xy, 15y/3 = 5y
3. 3(24xy + 15y)
What are the errors in Hannah’s work? Check all that apply.
She divided by 3 instead of the GCF.
She found the wrong GCF.
She divided wrongly.
She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.
She didn’t undistribute the GCF from the original expression.
Find the distance between the two points rounding to the nearest tenth (8,7) and (1,-2)
Answer:
11
Step-by-step explanation:
The distance between them can be calculated using Distance Formula , the points here are (8,7) and (1,-2) . Using Distance Formula we have ,
⇒ D = √ [ (x_2 - x_1)² + (y_2 - y_1)² ]
⇒ D = √ [ (8-1)² + (7+2)² ]
⇒ D = √ [ 7² + 9² ]
⇒ D = √ [ 49 + 81 ]
⇒ D = √ 130
⇒ D = 11.401 units
Rounding off we have , 11.401 ≈ 11 units .
Hence the required answer is 11 units
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 21 fts. The ball's height h (in feet) after seconds is given by the following.
Answer:
h(t)=
h(t)=vt-21t+2
Step-by-step explanation:
initial height =2
initial velocity=21ft/s
dh/dt=v
dh=vdt
intergrating both sides
h(t)-h(i)=vt-v(i)t
h(t)-2=vt-21t
h(t)=vt-21t+2
Which statements are true about the expression that y +92 Choose ALL that apply.
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
A, C, D, and F
What is the value of the expression 13/4 (8)? *
Answer: 26
(13/4) (8/1) =(13) (8)/ (4) (1) = 104/4 = 26
Step-by-step explanation:
Evaluate (3.68)²26705
55
Answer:
I am sorry I need points I am really sorry
Answer:
Step-by-step explanation:
0.0000368
Work out and simplify where possible 3/5+7/8
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n
Answer:
2\6 is the ratio
Step-by-step explanation:
brainliest pls
step by step explenation
thank you
Find the surface area of the following figure with the given dimension
Answer:
The surface area is 54 square feet
Step-by-step explanation:
Given
The attached figure
Required
The surface area
This is calculated as:
[tex]SA = 2(LW + LH + HW)[/tex]
Where
[tex]L = Length\\ W = Width\\ H = Height\\[/tex]
So,
[tex]SA = 2 * (3 * 3 + 3 * 3 + 3 * 3)[/tex]
[tex]SA = 54[/tex]
Which of the following options has a distance of 12 city blocks? Select three that apply.
Answer:
E
F
D
Step-by-step explanation:
That's what I am sorry if its wrong
Answer:
C, E and F
Step-by-step explanation:
Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenarlo?
Answer:
90(x)+50
Step-by-step explanation:
Because you are multiplying 90 by however many hours and adding a 50 dollar fee
BRAINLIEST!!!!!
PLEASE HELPP
NO FILE HOSTING LINKS
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?
Write your answer as a fraction or a mixed number in simplest form.
Answer:
the answer is 2.4 miles per day
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Angle VUX and angle WXU
are alternate interior angles
hope it helps
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
5,10,20
9514 1404 393
Answer:
r = 2
Step-by-step explanation:
The first differences between successive terms are ...
10 -5 = 5
20 -10 = 10
The differences are not constant, so the sequence is NOT arithmetic.
__
The ratios of successive terms are ...
10/5 = 2
20/10 = 2
The ratios are constant, so the sequence is ...
geometric with a common ratio of 2.
what does b equal b=____
9514 1404 393
Answer:
b = 90°
Step-by-step explanation:
Angles a, b, c form a linear angle, so their sum is 180°. This means ...
a + b + c = 180°
b = 180° -(a +c)
Angles 'a' and 'c' are complementary, so their sum is 90°.
b = 180° -90°
b = 90°
__
We can also find the measures of the other angles in this geometry.
a = 90° -c = 90° -56° = 34°
e = c = 56° . . . . . . . . . vertical angles
In summary, ...
a = 34°, b = 90°, c = 56°, d = 124°, e = 56°
If sin x=3/4,then cos x
• A cylindrical tank can hold 2279.64 cubic feet of water. The radius of the tank is 11 feet. What is the height of the tank?
Answer:
Step-by-step explanation:
so you want to know the formula for the volume of a cylinder
volume (cylinder) = area of the circular base * height
2279.64 = area of a circle + height
area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
they tell us the radius is 11 feet so r = 11
circle = [tex]\pi[/tex][tex]11^{2}[/tex] = 38013271
2279.64 = 38013271 * height
2279.64 / 38013271 = height
5.996958 = height in feet
pair of ratios. 1 : 2 = ___ : 8
Answer:
4
Step-by-step explanation:
Answer:
1 : 2 = 4 : 8
Step-by-step explanation:
Can someone help me pls
Answer:
50.2 in.
Step-by-step explanation:
To find the circumference of a circle, multiply the radius by 2, or multiply the diameter by pi.
Here, only the radius is displayed.
8 ⋅ 2 = 16.
16 is the diameter.
Now we can multiply the diameter by pi to get the circumference.
16 ⋅ 3.14 = 50.24
50.24 rounded to the nearest tenth is 50.2
Again, the formula for circumference is diameter ⋅ π (pi).
Therefore, 50.2 in. is the circumference of this circle.
In a survey of 1012 adults, a polling agency asked, "When you retire, do you think you will have enough money to live comfortably or not. Of the 1012 surveyed, 535 stated that they were worried about having enough money to live comfortably in retirement. Construct a 95% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.
Answer:
%52.87
Step-by-step explanation:
:)
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
Equation: 15x-2=11x+34
x=9
Angle: 133
Step-by-step explanation:
15x-2=11x+34
add 2 to both sides
15x=11x+36
-11x to both sides
4x=36
x=9
Answer:
15x-2=11x+34
exaplan
the two-line is parallel
someone please help me answer this!!!
Answer:
4.8 km is the answer.
Step-by-step explanation:
a = ?
b = 5 km
c = 7 km
According to the Pythagorean theorem,
a² + b² = c²
a² + 5² = 7²
a² + 25 = 49
a² = 49 - 25
a² = 24
a = 4.8989
Round to the nearest tenth,
a = 4.8 km
Can someone help me on this ASAP pls I really need to know this
Answer:
A is bethel
B is below sea level by 22 feet
C is I would describe the elevation very low lowest elevation in North America
D is 0 the elevation is right at sea level.
E is has a lower elevation and is one of the lowest major cities in the entire United States.
Step-by-step explanation: