Answer:
x=19
Step-by-step explanation:
x+7+6=32
x+6=25
x=19
Write - 2.17 as a fraction
Answer:
2 17/100
Step-by-step explanation:
not sure if that is a negative sign before, if so, add the negative
Neptune is about 2,700,000,000 miles from earth mercury is about 135,000,000 miles from earth determine how many times farther it is from earth to Neptune
Answer:
2 or 2 x 10⁰
Step-by-step explanation:
Answer:
20 times further
Step-by-step explanation:
Neptune is about 2,700,000,000 miles from Earth.
Mercury is about 135,000,000 miles from Earth.
Write in scientific notation to help solve. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. The power is the number of decimal places you move.
2,700,000,000 = 2.7 x [tex]10^{9}[/tex]
135,000,000 = 1.35 x [tex]10^{8}[/tex]
2)
[tex]\frac{Neptune}{Mercury} = \frac{2.7 * 10^{9} }{1.35*10^{8} }[/tex]
You can see there is only one extra 0 on top, the rest will cancel so you're left with:
[tex]\frac{27}{1.35} = 20[/tex]
It's 20x farther to Neptune from Earth, than it is to Mercury from Earth.
You would like to have $20,000 to use a down payment for a home in five years by making regular, end-of-month deposits in an annuity that pays 6% interest compounded monthly. How much of the $20,000 down payment comes from interest earned? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer. Do NOT include the dollar sign in the answer box below.
Using compound interest, it is found that $5,172.56 comes from interest earned
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
$20,000 is required in five years, hence t = 5, A(5) = 20000.Interest rate of 6%, hence r = 0.06.Monthly compounding, hence n = 12.First, we have to find the principal needed, hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]20000 = P\left(1 + \frac{0.06}{12}\right)^{12(5)}[/tex]
[tex]P = \frac{20000}{(1.005)^{60}}[/tex]
[tex]P = 14827.44[/tex]
Hence:
$14,827.44 comes from the principal.$5,172.56 comes from interest earned, as $20,000 - $14,827.44 = $5,172.56.To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
Answer:
Step-by-step explanation:
Pluto has been hard to measure from Earth because of its atmosphere. In 2007 Young, Young, and Buie measured Pluto as having a diameter of 2322 km. In 2017 new measurements were taken and Pluto is now believed to be 2376.6 km in diameter. Since the older measurement is now considered incorrect, what was the percent error of the 2007 measurement? [enter your answer as a percentage without the % sign] Round to two decimals.
Answer:
The percent error of the 2007 measurement is 2.30
Step-by-step explanation:
To determine the percent error of the 2007 measurement,
Percent error is given by
Percent error = [tex]\frac{|True value - Observed value| }{True value} \times 100%[/tex]%
Observed measurement in 2007 = 2322 km
True value (observed in 2017) = 2376.6 km
∴ Percent error = [tex]\frac{|2376.6 - 2322| }{2376.6} \times 100%[/tex]%
Percent error = [tex]\frac{54.6 }{2376.6} \times 100%[/tex]%
Percent error = 0.022974 × 100%
Percent error = 2.2974%
Percent error ≅ 2.30%
Since the answer is required to be entered without the % sign, then
Percent error = 2.30
Hence, the percent error of the 2007 measurement is 2.30.
Which expressions have a quotient of 4/5
a. 5/2 ÷ 1/2
b.6/9 ÷ 5/6
c. 3/6 ÷ 2/5
d.7 1/2 ÷ 6
e.1 1/3 ÷ 1 2/3
Answer:
b and eStep-by-step explanation:
a. 5/2 ÷ 1/2 =
5/2*2 =5b. 6/9 ÷ 5/6
2/3*6/5 =2*2/5 = 4/5c. 3/6 ÷ 2/5
1/2 * 5/2 =5/4d. 7 1/2 ÷ 6 =
15/2*1/6 =5/(2*3) =5/6e. 1 1/3 ÷ 1 2/3=
4/3 ÷ 5/3 =4/3 * 3/5 =4/5Answer:
Trick answer none of them do.
Step-by-step explanation:
Resplendent quetzal (Pharomachrus mocinno) is a beautiful bird species that lives in the tropical forests of Central America. Assuming that you started a breeding program and you would like to breed resplendent quetzal to produce longer tails. You measured 50 resplendent quetzals and obtained a mean tail length of 85.4 cm. You selected 10 resplendent quetzals with longest tails as breeders. The mean tail length of the breeders is 91.2 cm. After mating, offspring of the resplendent quetzal breeders have a mean tail length of 87.7 cm. What is the heritability of tail length in this resplendent quetzal population
Answer:
The value is [tex]H =0.3966[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The mean tail is [tex]\= x = 85.4 \cm[/tex]
The number of resplendent quetzals selected as breeders is [tex]k = 10[/tex]
The mean tail breeders is [tex]\= x_1 = 91.2 \ cm[/tex]
The mean tail of the breeders after mating [tex]\= x_2 = 87.7 \ cm[/tex]
Generally the selection differential is mathematically represented as
[tex]D = \= x_1 - \= x [/tex]
=> [tex]D = 91.2- 85.4 [/tex]
=> [tex]D = 5.8 \ cm [/tex]
Generally the selection response is mathematically represented as
[tex]S = \= x_2 - \= x[/tex]
=> [tex]S = 87.7 - 85.4[/tex]
=> [tex]S =2.3 \ cm [/tex]
Generally the heritability of tail length in this resplendent quetzal population is mathematically represented as
[tex]H = h^2 = \frac{S}{D} [/tex]
=> [tex]H = h^2 = \frac{2.3}{5.8} [/tex]
=> [tex]H = h^2 = \frac{2.3}{5.8} [/tex]
=> [tex]H = h^2 = 0.3966/tex]
I will give you branilest!
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
c. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets p and the number of bits s.
s =
NEED HELP ASAP PLEASE!
Solve the following system of equations using the elimination method.
7x + 20y = 14
2x – 10y = 4
Question 18 options:
A)
(3,1)
B)
(2,0)
C)
(4,–5)
D)
(–3,4)
Answer:
Answer is b
x=2 y=0_________
Please help if u care pls
1/4x+5/2x-2=4-1/4x
What is the value of x
Answer: The correct answer is: [A]:
__________________________________________________
" Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate. "
__________________________________________________
Step-by-step explanation:
__________________________________________________
Note that the "unit rate" is the term that refers to:
a "quantity" / or "quantitative value" ;
→ of some type of "countable units"
{e.g. "currency" — [such as: dollars, cents, pounds] ; "distance/length/ width/ height" — [such as: miles, kilometers, meters, centimeters, yards, feet, inches] ; pieces of fruits — [such as: number of apples; cans of soda, number of red dresses] ;
__________________________________________________
per "single unit" of something — {e.g. per hour; per minute; per mile; per ounce; per hour; per dollar, per kilometer, per day, per week.
{e.g.
→ " 3 apples eaten per [single] apricot eaten" ;
→ " 46 miles per hour.
→ " 8.3 cents per oz." ;
→ " 5 Liters of soda per dollar " ;
→ " 2.3 grams per mole " ;
→ " 4.6 mg solute / kg of solvent " ;
→ " 5 km / hr " ; {that is: " 5 km per hr " } .
→ " 3 yds. per [single] square inch."
→ " 35 parts per hundred" ; {that is: " 35 percent" ; or: " 35 % " . } .
→ " ... The cilantro is on sale for 33 cents per bundle ...} ."
→ ... to provide a few examples.
__________________________________________________
On on Cartesian plane graph, the "x-axis" is located on the "horizontal axis" that represents the "independent variable" (or, at times, the "experimental value" — which can be manipulated — or "controlled" —or be subjected to being "manipulated" / "controlled" / or, "selected".
The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .
So, if the "unit rate" represents the "single unit rate" ; we look at "x = 1 " ; since we are "choosing" this particular "single" rate of per "single" (i.e. "1" ) ; so we do not have a choice in what "y-value" of the particular graph to select. We can control the fact that we are "choosing" to find the "unit" rate, so we select the "independent variable" , "x = 1 " . We then examine the "corresponding y-value" that happens to exist when "x = 1 " .
{Note that we have "no control" over what that "y-value" is ; at the: "[point which: " x = 1 .] . "
_________________________________________________
→ As such, that "y-value" [insert that numeric "y-value" ; followed by the units represented by the "y-axis" ] ;
per " 1 " [insert "single unit" represented by the "x-axis" ] ;
_________________________________________________
→ is the: "unit rate" .
__________________________________________________
So:
The correct answer is: [A]:
__________________________________________________
" Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate. "
Answer:
Step-by-stbhubhbhnhnkjnkjnep explanation:
20 POINTS IF ANSWERED
Enter the value of 7 + (-3) - 3 - 7
Answer:
-6
Step-by-step explanation:
Simplify: 7 - 3 - 3 - 77 - 3 - 3 - 7 = -6I hope this helps!
Answer:
-3
Step-by-step explanation:
prove that the following lines are parallel to each other.
3x+4y-7=0 and 6x+8y-11=0
(plzz do in process )
Answer:
Yes, they are paralle.
Step-by-step explanation:
Step-by-step explanation:
Hey there!
Here;
The equations are:
3x + 4y - 7 = 0.............(I)
6x + 8y -11 = 0.........(ii)
Let's simply work with this.
From equation (I)
[tex]slope(m) = \frac{ - coeff.of \: x}{coeff.of \: y} [/tex]
[tex]m1 = \frac{ - 3}{4} [/tex]
From equation (ii)
[tex]slope(m2) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m2 = \frac{ - 6}{8} [/tex]
[tex]m2 = \frac{ - 3}{4} [/tex]
As per the condition of parallel lines;
M1 = M2
-3/4 = -3/4. (true)
Therefore, the lines are parallel to eachother.
Hope it helps...
what is 2x3 - 5x2 - 4x - 25
divided by X - 4
Answer:
2x² + 3x + 8 + 7/x-4
Step-by-step explanation:
For this problem, we can use synthetic division.
4 | 2 -5 -4 -25
| 8 12 32
|_________
2 3 8 7/x-4
This means the quotient is 2x² + 3x + 8 + 7/x-4.
HELP.!!!!
The area of a rectangular yard is given by the trinomial 2x^2 + x - 36. What are the possible dimensions of the yard?
A
(2x + 9) and (x-4)
B
(-2x + 9) and (-x + 4)
С
(2x - 2) and (x-4)
D
(2x - 4) and (x + 4)
Answer:
A . (2x + 9) and (x-4)
Explanation:
Given parameters:
Given trinomial;
2x² + x - 36
Possible dimensions of the yard = ?
Solution:
To solve this apply the quadratic factorization;
2x² + x - 36 = 0
2x² -8x + 9x - 36 = 0
2x(x - 4) + 9(x -4) = 0
(2x + 9) (x -4) = 0
The possible dimensions of the rectangular yard is (2x + 9) and (x -4)
Juan's grandmother left him 40 shares of Stock A and 150 shares of Stock B. How
much will he get if stock A sells for $225 a share and stock B sells for $27.25 a share?
Answer:
$13,087.50
Step-by-step explanation:
The sale of the 40 shares of stock A at $225 per share will get Juan ...
40 · $225 = $9000
The sale of the 150 shares of stock B at $27.25 per share will get Juan ...
150 · $27.25 = $4087.50
So, the total Juan will receive from the sale of the stocks will be ...
$9000.00 +4087.50 = $13,087.50
I need help please i will give brainliest
Answer:
5 packages
Step-by-step explanation:
each would have five if they made 5 sandwhiches
Answer:
5
Step-by-step explanation:
Divide each number until the remainder is one
Multiply the numbers used to divide which is 2 6 and 5 to get the LCM which is 60
Edit:
60 eggs /12 =5
60 muffins/10 =5
Experiment: Select a student from COIT
A: Student is female
B: Student is male
C: Student is an IS student
Find the value of P(A) + P(B)?
is 1,569 divisible by 9
Answer:
Yes the answer is 179 remainder 3
Answer:
no
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest.
Solve 2/3x= 20
Please help i’ll give 30 points for it
Answer:
the answer is 30
Step-by-step explanation:
hope it helps
-5X +1 92 - 321+13 - 12X
Plz I need help
Answer:
x= 116/17
Step-by-step explanation:
5x+192−321+13=−12x
Step 1: Simplify both sides of the equation.
5x+192−321+13=−12x
5x+192+−321+13=−12x
(5x)+(192+−321+13)=−12x(Combine Like Terms)
5x+−116=−12x
5x−116=−12x
Step 2: Add 12x to both sides.
5x−116+12x=−12x+12x
17x−116=0
Step 3: Add 116 to both sides.
17x−116+116=0+116
17x=116
Step 4: Divide both sides by 17.
17x/17=116/17
x = 116/17
WHICH PROPERTY JUSTIFIES STEP 2 PLS HELP !!!! ILL MARK BRAINLIST
Answer:
Distributive property.
Step-by-step explanation:
To go from 3(6x + 2) - 4x to 18x + 6 - 4x, you would need to use the distributive property.
Multiple Choice
Evaluate.
1. -59 - 6 for g=-2 (1 point)
A.4
B.16
C.10
D.-13
if freya makes 2 of her 5 free throws in a basketball game what is her free throw shooting percentage ?
a. 20%
b. 40%
c. 80%
d. 90%
Answer:
40
Step-by-step explanation:
100 /5 = 20
20*2= 40
40%
a bag of a certain type of sand weighs 42 pounds and has a volume of 0.5 cubic feet. a sandbox has a volume of 16 cubic feet. approximately how many pounds of sand will it take to fill the sandbox
Answer:32
Step-by-step explanation:I divided 16 by 0.5
Are the following lines parallel, Perpendicular OR neither
A. 4x - 2y = -12
B. 3x + 6y = 24
Answer:
Neither I am sure because if to the equation the answer is same
Peter is saving money to buy an MP3 Player. After one month, he has $50. After two months he has $85. After three months, he has $120. He plans to keep saving at the same rate. How long will it take Peter to save enough money to buy an MP3 Player that costs $295?
Answer:
9 months
Step-by-step explanation:
peter is saving 35 dollars per month.
295=35x
295/35=8.42 which is less than 295
9 is an approximate answer
35*9 equals 315, which is enough to pay 295 and have 20 dollars left over
I
What is the sale price of a stereo that normally sells for $250.00 and is on sale for 10% off?
Answer:
$225.00
Step-by-step explanation
First, take the percentage and switch it to a decimal. 10%= 0.10
Next, take $250.00 and multiply that by 0.10. 250x0.10=25
Lastly, subtract 25 from 250. 250-25= 225.
So you’re final answer is $225.00 Hope this helped!
Answer:
$225
Step-by-step explanation:
To find the sale price you convert 10% to decimals so that is equal to .10. Then you multiply the .10 by the original price, and that equals $25. After you have to subtract the found price by original price (250-25) then that should give you $225.
Three hundred seventeen kids went on a field trip last
Tuesday. There were supposed to be six full buses, but
seven kids were sick that day. How many kids fit on
each bus?
Write an equation
Answer:
(317-7)/6≈52
Step-by-step explanation:
There was approximately 52 kids in each bus
Total number of kids = 317
Total number of buses = 6
Number of kids sick = 7
Therefore, the number of kids on each bus will be:
= (317 - 7) / 6
= 310/6
= 51 2/3
= 52 kids approximately
In conclusion, there was approximately 52 kids in each bus.
Read related link on:
https://brainly.com/question/20167606
50 POINTS ASAP BRAINLIEST
State how many imaginary and real zeros the function has.
f(x) = x^3 + 5x^2 + x + 5
0 imaginary; 3 real
1 imaginary; 2 real
3 imaginary; 0 real
2 imaginary; 1 real
Answer:
1 real root 2 imaginary roots
Step-by-step explanation:
f(x) = x^3 + 5x^2 + x + 5
Set equal to zero to find the zeros
0 = x^3 + 5x^2 + x + 5
Factor by grouping
0 = x^2( x+5) + 1( x+5)
0 = (x+5) ( x^2+1)
Using the zero product property
x+5 =0 x^2+1 =0
x=-5 x^2 = -1
x=-5 x = ±i
1 real root 2 imaginary roots
Answer:
1 real root 2 imaginary roots
Step-by-step explanation:
f(x) = x^3 + 5x^2 + x + 5
Set equal to zero to find the zeros
0 = x^3 + 5x^2 + x + 5
Factor by grouping
0 = x^2( x+5) + 1( x+5)
0 = (x+5) ( x^2+1)
Using the zero product property
x+5 =0 x^2+1 =0
x=-5 x^2 = -1
x=-5 x = ±i
1 real root 2 imaginary roots
1.5x2/3 planhlefjdjsbshshsbsbdbshsbsbsbsbshshshshsh
Answer:
1
Step-by-step explanation:
DO DA MATH