Answer: 3f
Step-by-step explanation:
Find the missing side of the right triangle
Work Shown:
a^2 + b^2 = c^2
x^2 + 10^2 = 15^2
x^2 + 100 = 225
x^2 = 225 - 100
x^2 = 125
x = sqrt( 125 )
Currently, Mike is 8 years more than twice Tom's age. In 3 years from now,
Mike's age
will be three times Tom's age. What are their current ages?
Answer:
The current age of Mike is 12 years old while that of Tom is 2 years old.
Step-by-step explanation:
Let the current age of Mike be m years old and that of Tom be t years old.
Currently
m= 2t +8
3 years from now
Tom's age= t +3
Mike's age
= m +3
= 2t +8 +3
= 2t +11
Given that in three years, Mike's age is 3 times Tom's age,
2t +11= 3(t +3)
Expand:
2t +11= 3t +9
3t -2t= 11 -9
t= 2
Current age of Mike
= 2t +8
= 2(2) +8
= 4 +8
= 12
What is the remainder when (x^3 + 1) is divided by (x^2 – x + 1)?
O x +1
Ο x
O 2
Ο 0
Answer:
The answer is 0 .... solution is X+1 the REMAINDER IS 0
Step-by-step explanation:
The remainder when (x³ + 1) is divided by (x² - x + 1) is 0.
The correct option is D.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
We can use polynomial long division to find the remainder of (x³ + 1) divided by (x² - x + 1):
x + 1
-------------
x² - x + 1 | x³ + 0x² + 0x + 1
- (x³ - x² + x)
---------------
x² - x + 1
- (x² - x + 1)
-------------
0
Therefore, the remainder when (x³ + 1) is divided by (x² - x + 1) is 0.
To learn more about Polynomials;
brainly.com/question/11536910
#SPJ7
Tom wants to borrow $16,578 for a car. The bank is going to charge him 12% interest annually, compounded monthly. If his car payment is $345.00 a month. How much will he owe at the end of 4 months? (Take this one month at a time. Determine the interest for the month; add it to the principal. Then subtract the payment, and that is your new principal for the next month.)
Answer:
Step-by-step explanation:
Principal, P = $16,578
Interest rate, r = 12% = 0.12
Monthly interest rate = annual interest rate / 12
= 12%/12
= 1%
= 0.01
Time, t = 1 year
Number of period, n = 12
Car payment per month = $345.00
Month 1:
A = P(1 + r/n)^nt
A = 16,578(1 + 0.01/12)^(12)(1)
A = 16,578(1 + 0.000833333)^(12)
= 16578(1.000833333)^12
= 16578(1.0100459608871)
A = $16,744.54
Principal after month 1 repayment = $16,744.54 - $345
= $16,399.54
Month 2:
A = P(1 + r/n)^nt
= $16,399.54(1 + 0.01/12)^(12)(1)
= 16,399.54(1 + 0.000833333)^(12)
= 16,399.54(1.000833333)^12
= 16399.54(1.0100459608871)
= 16,564.289137406431934
= $16,564.29
Principal after month 2 repayment = $16,564.29 - $345
= $16,219.29
Month 3:
A = P(1 + r/n)^nt
= $16,219.29(1 + 0.01/12)^(12)(1)
= 16,219.29(1 + 0.000833333)^(12)
= 16,219.29(1.000833333)^12
= 16219.29(1.0100459608871)
= 16382.228352956532159
= $16,382.23
Principal after month 3 repayment = $16,382.23 - $345
= $16,037.23
Month 4:
A = P(1 + r/n)^nt
= $16,037.23(1 + 0.01/12)^(12)(1)
= 16,037.23(1 + 0.000833333)^(12)
= 16,037.23(1.000833333)^12
= 16037.23(1.0100459608871)
= 16198.339385317426733
= $16,198.34
Principal after month 4 repayment = $16,198.34 - $345
= $15,853.34
The graph of a quadratic function
displays output values that approach
negative infinity. What do you know
about the leading coefficient of this
function?
A
The leading coefficient is negative.
B
The leading coefficient is positive.
Answer:
A
The leading coefficient is negative.
Step-by-step explanation:
Quadratic equation:
A quadratic equation has the following format:
[tex]y = ax^2 + bx + c[/tex]
The leading coefficient is a.
a negative:
The graph of the function is concave down, that is, it displays values that approach negative infinity.
a positive:
The graph of the function is concave up, that is, it displays values that approach up infinity.
In this question:
Displays values that approach negative infinity, so the leading coefficient is negative, and the correct answer is given by option A.
Answer:
B it's positive.. I went with negative because that's what it said, but it was wrong!
Step-by-step explanation:
Given JIH~ LMN. what is the value of LN?
Answer:
7 units
Step-by-step explanation:
In similar triangles, corresponding sides are same ratio.
[tex]\frac{LN}{JH}=\frac{LM}{JI}\\\\\frac{LN}{14}=\frac{5}{10}\\\\LN=\frac{5}{10}*14\\\\LN=7[/tex]
plzzz helppp will mark brainlest stpps plzz if possible
Answer:
c.
Step-by-step explanation:
Law of sines
[tex]\frac{Sin A}{a}[/tex] = [tex]\frac{Sin B}{b}[/tex]
A and B are angles.
a and b are sides opposite corresponding angles.
Help me pls‼️‼️‼️❤️❤️
Answer:
= 50%
Step-by-step explanation:
There is one point, random number = 1
There are two circles, sample space = 2
[tex]{ \tt{probability = \frac{1}{2} }} \\ { \tt{percentage = \frac{1}{2} \times 100\% }} \\ = 50\%[/tex]
Answer:
25%
Step-by-step explanation:
1. Find the area of both Circles: [tex]A = \pi r^{2}[/tex] [tex]A = \pi 2^{2}[/tex] = [tex]4\pi[/tex] [tex]A = \pi 1^{2} = \pi[/tex]
2. [tex]\frac{\pi }{4\pi }[/tex] to find the percentage
3. 0.25 = 25%
Which graphs show functions with direct variation? select three options.
Answer:
the daily graphs
Step-by-step explanation:
the news paper
Answer:
B C E
Step-by-step explanation:
Someone plz help me and show the work 10 points!
Answer:
78°
Step-by-step explanation:
you have to add it up and then divide after multiply
Write the y-intercept of the line
Answer: -2. Bc if you look on the graph of the y axis you'll see its located at -2.
Hope this helps :)
Step-by-step explanation:
Y= 3x+6; (4,7) in slop intercept form
What we are given:
*equation
* intercepts (4,7)
All we have to do is plug in what we know:
Y= 3x + 6
x=4 and y= 7
NEW EQUATION:
7= 3(4) + 6
7= 12+6
7= 18
then divide 18 by 7
18/7= 2.5
Kristen and Stephen share some money on the ratio 3:2 Kristen receives $72. How much will Stephen receive
Answer:
$48
Step-by-step explanation:
A ratio of 3:2 could be $3 and $2, or any multiple of 3 and 2 such as $6 and $4. Kristen corresponds to $3 and receives $72.
$72/$3 = x/$2
3x = 2 * $72
3x = $144
x = $48
Answer: $48
Answer:
$48
Step-by-step explanation:
Since we are given the ratio 3:2 we can use that with the given number to find our missing amount
first, we divide 72 by 3 to find what 1/3 will be 72/3 = 24
Then, we multiply by 2 to find our missing amount 24 * 2 = 48
Which of the following expressions can be used to find x? Solve for x. Round to the nearest hundredth. A tan 28 = x32 ; x=17.01∘ B sin 28 = x32 ; x=15.02∘ C tan 28 = 32x ; x=60.18∘ D tan x= 2832; x=41.19∘
Answer:
B
Step-by-step explanation:
Add. State the sum in simplest form.
6/5x + 7/3y
Answer:
6x/5 + 7y/3
Step-by-step explanation:
Answer:
3.53xy
Step-by-step explanation:
I’m probably wrong but give it a try I think
HELP! (25 points) i think i might know the answer
Answer:
[tex]\sqrt{7}[/tex]
Step-by-step explanation:
At a homecoming pep rally, one student will win free tickets to the homecoming dance. There are 2,400 students attending the pep rally. The student council wants to pull the winning student’s name from a container with the school’s mascot on it. Unfortunately, the container only holds 600 names.
Which method can the student council use to ensure each student has a fair chance of winning?
A.
Randomly assign the 2,400 students to four equal groups. Select a group at random and put all the names from that group in the container. Randomly select the winner from the container.
B.
Put the names of the first 600 students who arrive at the pep rally in the bag. Randomly select the winner from the container.
C.
Select a section of the bleachers and only put the names of students sitting in that section in the container. Randomly select the winner from the container.
D.
Select a grade and only put the names of students from that grade in the container. Randomly select the winner from the container.
Answer:
A
Step-by-step explanation:
Answer A. Logically speaking there is no fair chance unless they use all the names but we can rule out C by the higher chance of students crowding, B is less likely as selecting winners from students who arrive first would be nearly the same as who bought their tickets first. D, selecting a grade excludes (estimating) around 1500 students or more from being included. A is the only logical answer left and by dividing them randomly you give everyone a full chance.
Factor x4 – 81. Question 20 options: A) (x2 + 3)(x2 – 3) B) (x2 – 9)(x + 3)(x – 3) C) (x2 + 9)(x + 3)(x – 3) D) (x + 3)2(x – 3)2
Answer:
C is correct
Step-by-step explanation:
A square minus a square can always be factored into the square root of the 1st term plus and minus the square root of the 2nd term. So
x**4 - 81 = (x**2 + 9)(x**2 -9) = (x**2 + 9) (x + 3)(x - 3)
DIVISON METHOD OF 527,646,1105
Answer:
17 is the answer
Step-by-step explanation:
A cone has a volume of 150 cm cubed and a base with an area of 12 cm square. What is the height of the cone?
(I'm asking this again :') No one answered it.)
P.S Its 30 Points now
SO PLEASE HELPPP tyyyy :)
Answer:
37.5cm
Step-by-step explanation:
V=1/3Bh
150=1/3 12h
150=4h
37.5=h
Which system is equivalent to y=-2x^2 y=x-2
a) y=-2y^2 x=y-2
b) y=-2y^2+2 x=y+2
c) y=-2y^2-8y-8 x=y+2
d) y=-2y^2+8y-8 x=y-2
Answer:
answer C
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&-2x^2\\y&=&x-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2(y-2)^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2y^2-8y-8\\\end{array}\right.\\\\[/tex]
help help help it is simple one
Answer:
[tex] 3^{ -x+3}[/tex]
Step-by-step explanation:
We need to simplify out the given exponential expression . The given expression to us is ,
[tex]\rm\implies \dfrac{\dfrac{1}{3}}{3^{x-4}} [/tex]
We can use the Law of Exponents to simplify the given expression . Recall that ,
[tex]\rm\implies \red{\dfrac{a^m}{a^n}= a^{m-n}}[/tex]
Note that , we can write ,
[tex]\rm\implies \dfrac{1}{3}= 3^{-1}[/tex]
Therefore our expression becomes ,
[tex]\rm\implies \dfrac{ 3^{-1}}{3^{x-4}}[/tex]
Simpify using the Law of Exponents ,
[tex]\rm\implies 3^{ -1 - ( x - 4 )}[/tex]
Open the brackets in exponent ,
[tex]\rm\implies 3^{ -1 - x +4 }[/tex]
Simplify to get final expression ,
[tex]\rm\implies \boxed{\quad \blue{ 3^{-x+3} \quad}}[/tex]
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year. Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost
Does the function ƒ(x) = 5e0.25x represent exponential growth, decay, or neither?
Step-by-step explanation:
it is exponential growth because the coefficient of x is not negative
the evidence is in the image above
the gradient increases
Please help out will give brainliest to the first person
Answer:
b = 74
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles in a triangle
b-44 + b+18 = b+48
2b-26 = b+48
Subtract b from each side
2b-b-26 =b+48-b
b-26 = 48
Add 26 to each side
b-26+26 = 48+26
b =74
9 Alicia has a bag that contains 12 apples.
Estimate the mass of the bag of apples.
Give your answer in kilograms.
Answer:
The key here is estimate, you don't need exact values or more information for this problem. First estimate the mass of an average apple. A quick online search reveals that the mass of an average apple is approximately 100 grams. Multiply by 12 for the bag and convert to whatever units you're asked to express your answer in.
Step-by-step explanation:
20-(+20)-(-65)-(-12)
Answer:
77
Step-by-step explanation:
20-(+20)-(-65)-(-12)
-(-65)-(-12)
+65-(-12)
+65+12
77
Q) 20-(+20)-(-65)-(-12) = ?
→ 20-(+20)-(-65)-(-12)
→ 20 - 20 + 65 + 12
→ {20 - 20} + {65 + 12}
→ 0 + 77
→ 77 is required solution.
The melting point of mercury is about 1/4 of the melting point of krypton. The melting point of mercury is -39c. Write and solve an equation to find the melting point of krypton.
Answer:
-156c
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] of krypton melting point is mercury melting point
[tex]\frac{1}{4}[/tex](k) = -39
k = -39(4)
k = -156c
Johnny can build 3 1/2 lego planes in 60 minutes. How many can he build in 40 minutes? Simplify answer completely
Answer:
2 [tex]\frac{1}{3}[/tex] planes
Step-by-step explanation:
Set up a ratio.
planes over time.
Because the time is given in minutes. No conversion necessary.
[tex]\frac{planes}{time}[/tex] = [tex]\frac{3.5}{60}[/tex] = [tex]\frac{x}{40}[/tex]
Cross Multiply
60 (x) = 3.5 (40)
60x = 140 Divide by 60, both sides.
x = 2.333 repeating also know as 2 [tex]\frac{1}{3}[/tex].
2) How much tax should be paid by a person having annual income RS 240.000?
Answer:
What is the Existing / Old tax regime?
Income Range Tax rate Tax to be paid
Up to Rs.2,50,000 0 No tax
Between Rs 2.5 lakhs and Rs 5 lakhs 5% 5% of your taxable income
Between Rs 5 lakhs and Rs 10 lakhs 20% Rs 12,500+ 20% of income above Rs 5 lakhs
Above 10 lakhs 30% Rs 1,12,500+ 30% of income above Rs 10 lakhs
