Answer:
The value of k is 1.
Step-by-step explanation:
x – 1 is a factor of f(x)
This means that:
x - 1 = 0
x = 1
That means that when [tex]x = 1, y = 0[/tex]. We use this to find the value of k.
f(x) = 3x^3 - 4x + k
[tex]3*1^3 - 4(1) + k = 0[/tex]
[tex]3 - 4 + k = 0[/tex]
[tex]k = 1[/tex]
The value of k is 1.
A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on a person's age, in years. The equation: P = 0.006 y 2 − 0.02 y + 121 gives a person's blood pressure, P , at age y years. A.) Find the systolic pressure, to the nearest tenth of a millimeter, for a person of age 40 years. B.) If a person's systolic pressure is 130.74 mm Hg, what is their age (rounded to the nearest whole year)?
Answer:
129.8 mmHg
42 years
Step-by-step explanation:
Given the relation :
P = 0.006 y² − 0.02 y + 121
Systolic blood pressure, P
Age, y
A.)
Find P when age y = 40
P = 0.006(40)² − 0.02(40) + 121
P = 9.6 - 0.8 + 121
P = 129.8 mmHg
B)
P = 130.74 mmHg
y =?
130.74 = 0.006y² − 0.02y + 121
130.74 - 121 = 0.006y² − 0.02y
9.74 = 0.006y² − 0.02y
0.006y² − 0.02y - 9.74 = 0
Using a quadratic equation solver :
The roots are 41.99 and - 38.66
Age cannot be negative ;
Hence age = 41.99 = 42 years
Measurement of missing angle?
Answer:
79 degrees
Step-by-step explanation:
180 - 73 - 28 = 79
Because a line is 180 degrees
15 L is approximately
Answer:
Rounding out we have that 15 liters equals 3.96 gallons
Step-by-step explanation:
I hope this halp
Help! See the picture below
Answer:
12=12, so I believe your answer would be yes. I hope this helps.
Step-by-step explanation:
(4,10)
y = 3x - 2
10 = 3(4) - 2
10 = 12 - 2
+2 +2
12 = 12
corri received money for her birthday. she let lakisha borrow $4.50 and spent half of the remaining money. the next day she received $10.00 from her uncle. after spending $12.50 at the movies she still had $7.75 left. how much money did she receive?
Answer:
I’m not sure but I would say around 20 bucks or 22somewhere in the 20s
Step-by-step explanation:
Find a solution to the following system of equations by graphing
y= 7x + 3
y= 3x -0.5
Answer: (-7/8, -3 1/8)
Step-by-step explanation:
To find the solution to a system of equations by graphing, you graph the two equations and the solution is where the two lines intersect. Attached is the graph.
Answer:
the answer is (-0.875, -3.125)
Use the Binomial Theorem to expand (x + 1)^6
Answer:
Here is what i got x^2+6x^5+15x^4+6x+1
Step-by-step explanation:
^ that mark is for exponents btw. For anyone that is new to this
The Binomial Expansion of [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].
What is Binomial Expansion?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.
Given:
We have to expand [tex](x+ 1)^6[/tex]
We know the general form of Binomial Expansion
(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]
Here n= 6
So, the expansion of [tex](x+ 1)^6[/tex] is
= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +
C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]
= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]
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Okay I know this is a crazy thing to ask on brainly but would anyone be interested in finishing my Math 4 class for $100 dollars?? my word is good I promise! I just need to pass!!! PLS HELP
Answer:
ok but I know this is a lie I'm just willing to help
FIND THE AREA OF A TRIANGLE
Answer:
80
So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
Which rule should be applied to reflect f(x)=x^3 over the line y=x?
NEED HELP NOW!!!!! 12 points!!!!!
Answer:
A. Substitute -x for x and simplify f(-x)
Step-by-step explanation:
i just did this
Answer:
I just did this
A carpenter cuts a board 3 3/8 feet off the end of a board that is 6 1/2 feet long. How long is the remaining piece of board?
Answer:
[tex]6 \times \frac{1}{2} - 3 \times \frac{3}{8} = 1 \times \frac{7}{8} [/tex]
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The remaining piece of the board when [tex]3\frac{3}{8}[/tex] feet is cut off from the end of the board of [tex]6\frac{1}{2}[/tex] feet is
[tex]3\frac{1}{8}[/tex] feet
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example:
1/2, 1/3 is a fraction.
1/2 of 4 is 2.
1/4 of 20 is 5.
We have,
Length of the board = [tex]6\frac{1}{2}[/tex] feet.
The length cut off from the board = [tex]3\frac{3}{8}[/tex] feet.
The remaining length of the board:
= [tex]6\frac{1}{2}[/tex] - [tex]3\frac{3}{8}[/tex]
= 13/2 - 27/8
Find the Lcm of 2 and 8.
The Lcm of 2 and 8 is 8.
= (13x4 - 27) / 8
= (52 - 27) / 8
= 25/8
Write it in a mixed fraction.
= [tex]3\frac{1}{8}[/tex] feet
Thus,
The remaining piece of the board when [tex]3\frac{3}{8}[/tex] feet is cut off from the end of the board of [tex]6\frac{1}{2}[/tex] feet is [tex]3\frac{1}{8}[/tex] feet.
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a school is having a competition to see who can read the most books in one month (30 days). In the first 5 days, Jake reads 4 books. Meanwhile, Amy reads 5 books over 6 days. If they continue at these rates, who will win? By how many books?
Answer:
Amy will winStep-by-step explanation:
Jake
4 books ⇔ 5 days
x books ⇔ 30 days
5x = 4*30x = 120/5x = 24 booksAmy
5 books ⇔ 6 days
x books ⇔ 30 days
6x = 5*30x = 150/6x = 25 booksAmy will win by 25 - 24 = 1 book
help plz ill give extra points
Answer:
B
Step-by-step explanation:
Because its didn't say European
i need help <3 <3 < 3 <3 <3 <3 <3 <3 <3 <3
Answer:
I have study up to 8 class hahahahahah
Answer:
owo - well uh
C G
Write a quadratic function f whose zeros are -9 and 2
I
Do not understand please help
Thank u
Answer:
43.4
Step-by-step explanation:
You will need to use the phythagoream therom, which is a² + b² = c². Plug the values in for the variables to get 7² + b² = 44², (c would equal the hypothenuse because the hypothenuse is the longest side of the triangle.) Square the values to get 49 + b² = 1936. Subtract 49 from both sides to get b² = 1887, then take the square root of both sides to get b = 43.4 (rounded to the nearest tenth.)
I am really sorry if I'm wrong, but have a good day/night! :)
Answer:
Use the Pythagoras' theorem
-the square of the hypotenuse equals to the sum of the squares on the other two side:
a^2 = b^2 + x^2
-given the hypotenuse and another side and asked to find the missing side:
Therefore you play with the equation to make the missing side the subject of formula as I did above.
Please help answer this question!!
Answer:
The answer of this question is 265 feet.
What’s the area? Please help!!
9514 1404 393
Answer:
469 square yards
Step-by-step explanation:
The area of the triangle is ...
A = 1/2bh
A = 1/2(6+14+6)(21) = 273
The area of the square is ...
A = s^2 = 14^2 = 196
The total area of the figure is the sum of the parts.
273 +196 = 469 . . . square yards
Can someone help me pls. 4x = 24
Answer:
4x = 24
Divide by 4 to isolate the x
x = 6
help with math please!!!
Answer:
[tex]\Huge\boxed{240ft^2}[/tex]
Step-by-step explanation:
Hello There!
The figure shown is a trapezoid with the following dimensions
base 1 = 12ft
base 2 = 20 ft
height = 15 ft
Given these dimensions we need to find the area
We can do this by using the area of a trapezoid formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
Knowing the dimensions all we have to do is plug in the values
[tex]A=\frac{12+20}{2} 15\\12+20=32\\\frac{32}{2} =16\\16*15=240\\A=240ft^2[/tex]
So we can conclude that the area of the floor that needs to be replaced with tile is 240 ft²
Each base in this right prism-like figure is a semicircle with a radius of 7 cm.
7 cm
20 cm
What is the volume of the figure?
Give an exact answer in terms of pi.
Answer:490pi
Step-by-step explanation:just trust me
The volume of the given figure is required.
The required volume is 490π cm³
Volumer = Radius of semicircle = 7 cm
h = Height of prism = 20 cm
The volume of a cylinder is
[tex]\pi r^2h[/tex]
The volume of the given shape will be half of a cylinder, so
[tex]V=\dfrac{1}{2}\pi r^2h\\\Rightarrow V=\dfrac{1}{2}\pi\times 7^2\times 20\\\Rightarrow V=490\pi\ \text{cm}^3[/tex]
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Jamal and Anna start walking in opposite directions from the same point. Anna walks 0.5 miles every 10 minutes, Jamal Walks 1.2 miles every 30 minutes
How far apart are Jamal and Anna after 1 hour
ok soo i am having trouble with this question lol what is 0 divided by 0
Answer:
0 because 0 is 0 and divided it's 0
GIVING 25 PTS URGENT
Answer:
D) 76 sq in
Step-by-step explanation:
It’s 4 triangles. A=1/2bh
1/2(8)(5)=20 (two of these)
1/2(8)(6)=24
1/2(4)(6)=12
20+20+24+12=76
7. How do you write a deposit of $15?
You would need to generate a deposit slip or utilize an electronic banking system to send the funds into your account to deposit $15.
What is a deposit slip?A deposit slip is a little paper form that is included by a bank customer when depositing payments into a bank account.
To write a deposit of $15, you would need to create a deposit slip or use an electronic banking system to transfer the money into your account.
To write a deposit slip, you would need to follow these steps:
Obtain a deposit slip from your bank or financial institution, or use a deposit slip provided by your bank's mobile app.
Fill in your personal and account information, including your name, account number, and any other required information.
Indicate the amount of the deposit, in this case $15, in the designated area on the deposit slip.
If you are depositing checks or other negotiable instruments, list the details of each item in the designated area on the deposit slip, including the payee, check number, and amount.
Review the deposit slip for accuracy and completeness, and make any necessary corrections.
Submit the deposit slip and any accompanying cash or checks to a bank teller or use an ATM or mobile app to complete the deposit.
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a stack of 150 pieces of paper is 2.5 cm thick how many pieces of paper are in a pile 6.5 CM thick
Find the scale factor of the height:
6.5cm / 2.5cm = 2.6
Multiply the known pages by the scale factor:
150 x 2.6 = 390 pieces of paper.
100 POINTS!!! Orthographic projection and isometric projection are two ways to show three-dimensional objects in a two-dimensional space, such as on a piece of paper or a computer screen. Each method gives a different perspective. Do some research and then compare and contrast the two methods for displaying three-dimensional shapes. Then try your hand at creating both types of projections for a simple geometric shape using paper, pencil, and a ruler.
In your opinion, what are the pros and cons of each projection? What are the limitations? In which circumstances, environments, or occupations is one type of projection likely preferred over the other? Describe any special tools that might be needed to create the projection. Which projection is easiest for you to interpret visually? Why?
Example 1:
The pros of Orthographic is that they can show hidden details and all of the connecting parts, they can be annotated to display material and finishes. The pros of Isometric projection is that they dont need many views and it gives accuracy, cons are is created a unorginized apperance by the lack of foreshortening, I would choose Isometric projection because it shows the size of the figure.
Example 2:
Orthographic projection is a good option for showing lots of detail and small things. The limitation is that with all of that detail, they can become quite messy and hard to understand to someone new to them. However, that is one of the pros of Isometric projection. It gives easy detail and is just as good as an Orthographic. Personally, I find Isometric projections easier to interpret.
Simplify: -12x + 5x - x
Answer:
[tex] - 8x[/tex]
the answer is -8x.
Answer:
-8x is your answer
Step-by-step explanation:
-12x + 5x - x
-7x-x
-8x
Please ASAP someone help with this Math It's a missing assignment and it needs to be done and I don't know!!!!!!!!!!!!!!
Flying against the wind, an alrplane travels 4700 kilometers in 5 hours. Flying with the wind, the same plane travels 9520 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
i think this
Step-by-step explanation:
Let Va = the velocity of the airplane
Let Vw = the velocity of the wind
When flying with the wind:
(Va+Vw)*(4 hours) = 4000
4Va + 4Vw = 4000
4Vw = 4000 - 4Va
Vw = 1000 - Va
When flying against the wind:
(Va-Vw)*(7 hours) = 4200 km
7Va - 7Vw = 4200
Substitute 1000-Va for Vw and solve for Va:
7Va - 7(1000-Va) = 4200
7Va -7000 + 7Va = 4200
14Va = 11200
Va = 800 km/hr
Rate of wind:
Vw = 1000 - Va = 1000 - 800 = 200 km/hour
