Answer:
false
Step-by-step explanation:
smallest prime factor that can divide the number, also 9= 3*3 thus it's not a prime factor
RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual
income of $32,523 for 30 years. If RuthAnn contributes 11% of her annual income to a 401(k) paying 7.1% compounded
annually, will she reach her goal for retirement given that her annual income is $36,278.13? If she does not make her goal
then state by what amount she will need to supplement her income. Round all answers to the nearest cent.
a. RuthAnn will meet her annual goal of exactly $32,523 for retirement.
b. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
C. RuthAnn will not make her annual goal of $32,523 and will need $1,039.85 to supplement her
yearly income when she retires.
d. RuthAnn will not make her annual goal of $32,523 and will need $10,395.80 to supplement her
yearly income when she retires.
Answer: It is B. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
Step-by-step explanation:
What is the slope of the line that passes through the points (10, 3) and (2, 3) ?
Work Shown:
Use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (3-3)/(2-10)
m = 0/(-8)
m = 0
The slope of any horizontal line is always zero due to the fact all y coordinates on this line are the same. When we pick two points from the line, the same y coordinates subtract to 0. We can have 0 in the numerator, but not in the denominator.
As the slope formula shows, we basically subtract the y coordinates together, and do the same for the x coordinates as well in the same order. Then we divide the differences.
What is the binomial expansion of (2x – 3)5? (2x)5 – 15(2x)4 + 90(2x)3 – 270(2x)2 + 405(2x) – 243 (2x)5 + 15(2x)4 – 90(2x)3 + 270(2x)2 – 405(2x) + 243 (2x)5 + 15(2x)4 + 90(2x)3 + 270(2x)2 + 405(2x) + 243 2(x)5 – 30(x)4 + 180(x)3 – 540(2x)2 + 810(x) – 243
Answer:
c
Step-by-step explanation:
just got it correct
The value of binomial expansion of expression (2x - 3)⁵ is,
⇒ (2x)⁵ – 15(2x)⁴ + 90(2x)³ – 270(2x)² + 405(2x) – 243
We have to given that;
The expression is,
⇒ (2x - 3)⁵
Now, We know that;
The formula of binomial expansion is,
⇒ (x + y)ⁿ = (ⁿ₀) xⁿy⁰ + (ⁿ₁) xⁿ⁻¹y¹ + (ⁿ₂) xⁿ⁻²y² + ...... + yⁿx⁰
Hence, The value of binomial expansion of (2x - 3)⁵ is,
⇒ (2x - 3)⁵
⇒ (2x + (- 3))⁵
⇒ (2x)⁵ – 15(2x)⁴ + 90(2x)³ – 270(2x)² + 405(2x) – 243
Thus, The value of binomial expansion of expression (2x - 3)⁵ is,
⇒ (2x)⁵ – 15(2x)⁴ + 90(2x)³ – 270(2x)² + 405(2x) – 243
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2)
2r+8-r=-7 solve the equation
Answer:
r = -15
Step-by-step explanation:
2r + 8 - r = -7
~Combine like terms
r + 8 = -7
~Subtract 8 to both sides
r = -15
Best of Luck!
Answer:
hii
Step-by-step explanation:
Group Like Terms
2r-r+8=-7
Add smiliar elements
r+8=-7
Subtract 8 form both sides
r+8-8=-7-8
SImplify
r=-15
Please help me with this for real it's due today and I'm so lost
Step-by-step explanation:
y= mx +C
So m, that is the slope of line will be 2.
Now the slope of required line will also be 2.
We can write
(y- (- 1)) =2 (x-(-4))
y+1 = 2(x+4)
y=2x+7
26 + 3 x 8^4. I need help pls
Answer:
32
Step-by-step explanation:
Answer:
6577
Step-by-step explanation:
nn
what is the average rate of change?
f(x)=x^2+3
From x=0 to x=3
Answer:
dk
Step-by-step explanation:
d
please solve
x+2y<-6
Answer:
Starting with the equation x+2y=6 and subtracting x from both sides gives 2y = -x + 6. If we then divide each term by 2, we get the final result of y = -1/2x + 3. Here we see that the slope (m) is equal to -1/2, and the y-intercept (b) is 3
Step-by-step explanation:
PLEASE BRAINLIEST AND 50 POINTS PART 1 Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's height is 4 feet, 2 inches.
Which measurement should be considered the actual height?
Because the doctor actually measures his height. The height of 4 feet 2 inches should be considered the actual height.
(2.3x10^4)x(1.5x10^-2
here's the solution luv
Answer:
3.45x10^2
Step-by-step explanation:
Thankyou
I have been on these problems all day and no one answered by question(truthfully) so here are my questions....also i will give u brainliest,a lot of points,and a thanks,and a 5 star rating :)
Please help me
Answer:
1. 1/2
2. 3
3. 2/3
4. y = 3x
5. y = 3x
Step-by-step explanation:
You count the rise/run for the first three, and for the last two use the slope formula. (13-4)/(5-2) = 9/3 = 3
I'm not sure if you need to add an "x" or not for pictures 1-3
For pictures 4 & 5, I can't tell where the line intersects the y-axis, so I cannot determine the y-intercept. So sorry that they are only partial answers!
Answer:
Step-by-step explanation:
1.
slope=rise/run=2/4=1/2
2.
slope=rise/run=6/2=3
3.
take any two points passing through corners of squares.
slope=rise/run=2/3
4.
slope=(13-4)/(5-2)=9/3=3
5. same as 4.
What is -5(-10z + -4) +-3
Answer:
50z + 17
Step-by-step explanation:
-5(-10z + -4) +-3
distribute
= 50z +20 -3
=50z + 17
Answer:
50z + 17
I hope this helps!
imagineaza ti o intamplare fantastica din timpul unei calatorii si redacteaza o naratiune de 100-150 de cuvinte in care sa prezinti. In compozitia ta.este necesar:-sa relatezi intamplarea,respectand succesiunea logica a evenimentelor; -sa prezici repele spati-temporale; -sa ai un continut adecvat cerintei; - sa respectti precizarea privind numarul de cuvinte
the answer is 50 maybe
I really need help so please be right .Write the radical in simplest radical form and you must show all steps please. √(5/8)
Answer:
√5/6
Step-by-step explanation:
Find the value of X. Then find a measure of each labeled angle.
x=
5x=
13x=
Can someone help me answer this pls.
Scale shows weight = 193
Weight of assistant = 135
Weight of dog = x
x = 193 - 135
x = 58
The dog weighs 58 pounds.
WILL GIVE BTAINLY Which is the coldest temperature? Explain how you determined this using the number line.
A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4
Answer:
-3.5 it is negative.
Determine the domain and the range for this relationship. Drag the tiles to the correct locations on the image. Not all tiles will be used.
0 ≤ x ≤ 720 ≤ x ≤ 60 ≤ y ≤ 6{0, 12, 24, 36, 48, 60, 72}{0, 1, 2, 3, 4, 5, 6}{0, 6, 12, 18, 24, 30}0 ≤ y ≤ 72
Answer:
Domain: {0,6,12,18,24,30}
Range: {0,12,24,36,48,60,72}
Step-by-step explanation:
I hope I'm right very sorry if I'm not. If so please give "Brainiest". :)
Thanks!!
The domain of 0 ≤ x ≤ 6 is x ∈ [0, 1, 2, 3, 4, 5, 6], and the range of the 0 ≤ y ≤ 6 is y ∈ [0, 1, 2, 3, 4, 5, 6].
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
0 ≤ y ≤ 72
The range will be y ∈ [0, 72]
0 ≤ x ≤ 72
The domain will be x ∈ [0, 72]
0 ≤ x ≤ 6
The domain will be x ∈ [0, 1, 2, 3, 4, 5, 6]
0 ≤ y ≤ 6
The range will be y ∈ [0, 1, 2, 3, 4, 5, 6]
Thus, the domain of 0 ≤ x ≤ 6 is x ∈ [0, 1, 2, 3, 4, 5, 6], and the range of the 0 ≤ y ≤ 6 is y ∈ [0, 1, 2, 3, 4, 5, 6].
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What is the value of the expression (5)^3
Answer:
the answer is 125.
Step-by-step explanation:
hope this helps!
Answer:
x = -125
I got it right
Jennifer walks 9 blocks south and 5 blocks west. Approximately how many blocks is she from home if she were to take a direct path?
9514 1404 393
Answer:
10.3
Step-by-step explanation:
Assuming the blocks are square, we can use the Pythagorean theorem to find the diagonal distance.
d² = 9² +5² = 81 +25 = 106
d = √106 ≈ 10.3
Jennifer is about 10.3 blocks from home.
Find the slope of the line that passes through the points (1, -2) and (9,7)
Answer:
9/8
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7 - -2)/( 9 - 1)
= ( 7+2)/( 9-1)
= 9/8
I will mark brainliest!
Please help I’m giving extra points !!!
2 questions ( look at the photo below and answer that one as well)
1) the weight of an object of the earth varies directly as the same object on the moon . An 400 pound object will weigh 60 pounds on the moon . How much would an 80 pound object weigh on the moon?
1) 20
2)8
3)14
4) 12
Answer: it 3
Step-by-step explanation:
For every 1 litre of water used to make a medicine, 150 ml of sucrose and 600ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
1 litre:150ml:600 ml
Step-by-step explanation:
1 liter water
150 ml sucrose
600 ml saline
Answer:
20:3:12
Step-by-step explanation:
find the nth term of the sequence -5,-1,3,7
4n - 9
Step-by-step explanation:
use formula nth term = a + (n-1)d where a is the first term and d is common difference
Answer:
[tex]\bold{a_n=4n-9}[/tex]
Step-by-step explanation:
-1-(-5) = 4 and 3-(-1) = 4 and 7-3 = 3
so: d=4
[tex]a_n=a_1+d(n-1)\\a_1=-5\\d=4\\\\a_{n}=-5+4(n-1)=-5+4n-4=4n-9[/tex]
A new law has support from some Democrats and some Republicans. This two-way frequency table shows the proportion from each political party that does or does not support the new law. Which conclusions can be made from this table? Select each correct answer. For both parties, more members do not support the law than support the law. Among Democrats, a larger percentage do not support the law than support the law. More Republicans support than the law than do not support the law. Compared to the Republicans, the Democrats have a larger percentage of members who support the law.
Answer:
Step-by-step explanation:
Political parties are organized groups of people with similar ideas or ideology about the function and scope of government, with shared policy goals that work together to elect individuals to political office, to create and implement policies, to further an agenda, and to gain control of the government and the policy-making process. Parties gain control over the government by winning elections with candidates they officially sponsor or nominate for positions in government. Political parties nominate candidates to run many levels of government including the national level, Congress, and the presidency; but, they nominate for state and local levels as well. They also coordinate political campaigns and mobilize voters.
Political parties are points of access/linkage institutions available to the public, though they are not themselves government institutions. Neither interest groups nor political parties are directly mentioned in the U.S. Constitution. Where interest groups often work indirectly to influence our leaders, political parties are organizations that try to directly influence public policy through nominating and officially sponsoring members who seek to win and hold public office. This is a key difference. Interest groups do not officially nominate or nominate candidates for public office, although they may support them politically and even contribute dollars to their campaign.
Parties accomplish this by identifying and aligning sets of issues that are important to voters in the hopes of gaining support during elections. In this respect, parties provide choices to the electorate, something they are doing that is in sharp contrast to their opposition. These positions on these critical issues are often presented in campaign documents or political advertising. During a national presidential campaign, they also frequently reflect the party platform, which is adopted at each party’s presidential nominating convention every four years.
If successful, a party can create a large enough electoral coalition to gain control of the government. Once in power, the party is much more likely to be able to deliver, to its voters, the policy preferences they choose by electing its partisans to the government.Political parties organize political campaigns to win public office for those they nominate.
link to learning
A box of greeting cards contains 20 birthday cards, 15 get-well cards, and 15 thank-you cards.
Find the percent of each type of card in the box
Answer:
Birthday Cards= 40%
Get-well cards= 30%
Thank-you cards= 30%
Step-by-step explanation:
State if the given functions are inverses.
1)
F(x)=1/2x -2
g(x) = 2x + 4
Answer:
Yes
Step-by-step explanation:
if [tex]f(x)=\frac{1}{2}x-2[/tex] then what is [tex]f^-1(x)[/tex] (the inverse of f(x)? let's find out[tex]f(x)=\frac{1}{2}x-2\\y=\frac{1}{2}x-2[/tex] make f(x) into yThen make y into x and make x into y so [tex]x=\frac{1}{2}y-2[/tex][tex]x=\frac{1}{2}y-2[/tex] now get the new y on the left and everything else on the right[tex]x=\frac{1}{2}y-2\\x+2=\frac{1}{2}y\\2(x+2)=(2)\frac{1}{2}y\\y=2x+4[/tex] now make y = g(x)[tex]g(x)=2x+4[/tex] So you found the inverse of f(x) and it is the same as g(x), so the functions are inverses of each other4x – 2y = 2
x = y + 4
Answer:
y = -7 and x = -3
Step-by-step explanation:
Substitute x for y + 4 in the first equation and solve for y
4(y+4) - 2y = 2
4y + 16 - 2y = 2
16 + 2y = 2
2y = -14
y = -7
Then in order to find x, substitute y for -7 in the second equation
x = -7 + 4
x = -3
Answer:
x= -3, y= -7
Step-by-step explanation:
substitute x=y+4 in the first equation
4 (y+4) -2y =2 distribute
4y+16-2y=2 subtract both sides by 16
4y-2y=2-16 combine like terms
2y= -14 divide both sides by 2
y=-7
x=y+4 substitute y=-7
x= -7+4
x= -3
Please help me with these two questions I hate math
Answer:
18. b
19. b
Step-by-step explanation:
Determine the range of the following graph