Answer: f(x) = mx+ b
slope = m = $25 / month
This means that for every month (x) that goes by, the total value of the stock (f(x)) will increase by $25.
y-intercept = b = $525
This is the amount of money in the account at time = 0. This will be equal to the original investment of $525.
f(x) = mx+ b = 25x + 525
Step-by-step explanation:
The number of protons to neutrons in the nucleus of an atom is 5 to 6.If the numbers of protons in the nucleus is 30 then find the number of neutrons
Answer:
36 neutrons
Step-by-step explanation:
The ratio of the protons to neutrons is 5:6, or 5 protons/6 neutrons. You know there are 30 protons, so this means you can set up proportions. Keeping the protons on the top, 5 protons/6 neutrons = 30 protons/x neutrons. You can cross-multiply from here, but how I find it helpful to think of it is seeing that you have to multiply 5 protons by 6 to get to 30 protons, so you'd have to also multiply the 6 neutrons by 6 to get x neutrons. Doing so (6x6) will get you 36. Don't forget your units! (:
In triangle XYZ, LX = 45°, LY
= 65°
Find the size of LZ.
PLEASE HELP ILL PAY U $10
Answer:
Angle Z is 70 degrees
Step-by-step explanation:
The 3 angles of a triangle add up to 180 degrees. Angle x is 45, angle y is 65.
180-45-65 = 180-110 = 70
where is the point (7, -1-0) loacted on the coordinate plane?
Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
Answer:
A Translation 4 units leftwards followed by a reflection across the x-axis.
Step-by-step explanation:
he transformations are:
Translation 4 units leftwards.
Reflection across the x-axis.
You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.
a. How are the functions y = x and y = x + 4 related? How are their graphs related?
Step-by-step explanation:
gggggggggggggiiiiiiiiiiii
If the length of overline AC equals 84, what is the length of the midsegment overline DE ?
A) 28
B) 32
C) 36
D) 42
Similar shapes may or may not be congruent
The length of DE is 42 units
The given parameters are:
[tex]\mathbf{AC = 84}[/tex]
[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint
The equivalent ratio is then represented as:
[tex]\mathbf{BD : DE = BA : AC}[/tex]
Substitute [tex]\mathbf{BA = 2BD}[/tex]
[tex]\mathbf{BD : DE = 2BD : AC}[/tex]
Express as fraction
[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]
Make DE the subject
[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]
[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]
Substitute 84 for AC
[tex]\mathbf{DE= \frac{84}{2 }}[/tex]
[tex]\mathbf{DE= 42}[/tex]
Hence, the length of DE is 42 units
Read more about similar shapes at:
https://brainly.com/question/20536565
(a) A color printer prints 21 pages in 10 minutes. How many minutes does it take per page? U minutes per page
Answer:
10/21
Step-by-step explanation:
Number of minutes required for printing 21 pages: 10
So, number of minutes required for printing 1 page
= 10/21
(= 0.47 = 0.5 [approximately])
please help picture below
Algebra 2 - Standard form of a quadratic function
1. A field goal kicker discussed his performance with this coach. Based on the coach’s data, the kicker usually kicks the ball so it reaches a maximum height of 50 yards
after it has traveled 25 yards down the field. What is the equation, in standard form, of the kick? Round your answer to the nearest hundredth
2. If the goal posts are 10 yards high, what is the minimum and maximum distance that his kick will make it over the goalpost? Round your answer to the nearest hundredth
Using quadratic function concepts, it is found that:
1) The equation is [tex]y = -0.08x^2 + 4x[/tex]
2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A quadratic equation has the following format:
[tex]y = ax^2 + bx + c[/tex]
In this problem:
The ball was kicked from the ground, thus [tex]y(0) = 0[/tex], which means that c = 0.Item 1:
The vertex is: [tex]V(x_v,y_v)[/tex], in which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
In this problem, it is (25,50). Thus:
[tex]-\frac{b}{2a} = 25[/tex]
[tex]-b = 50a[/tex]
[tex]b = -50a[/tex]
[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]
[tex]-b^2 = 200a[/tex]
[tex]-(50a)^2 = 200a[/tex]
[tex]-2500a^2 - 200a = 0[/tex]
[tex]200a(-12.5a - 1) = 0[/tex]
Then, as [tex]a \neq 0[/tex]
[tex]a = -\frac{1}{12.5} = -0.08[/tex]
[tex]b = -50a = -50(-0.08) = 4[/tex]
Thus, the equation, in standard form, is:
[tex]y = -0.08x^2 + 4x[/tex]
Item 2:
The distances are the values of x for which:
[tex]y = 10[/tex]
Then
[tex]-0.08x^2 + 4x = 10[/tex]
[tex]-0.08x^2 + 4x - 10 = 0[/tex]
Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:
[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]
[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]
[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]
The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A similar problem is given at https://brainly.com/question/24713268
Isis bought 5 sunshades at $10.30 each and 3 beach towels at $8.99 and a hat that cost $29.99. The sales tax is 6.7%. What is the cost of the purchase?
Answer:
$115.73
Step-by-step explanation:
10.30×5=51.50
8.99×3=26.97
51.50+26.97+29.99=108.46
108.46+6.7%
108.46+7.27=115.73
what is the x-intercept of the line 6x-3y=24
Is this equation in standard form?
3xy+ y2=4
Answer:
standard form is {Ax+By=c}
as mentioned above the given equation is not in {Ax+By=c}..
hence it's not in standard form
Answer:
ax+by=c so no
Step-by-step explanation:
Please help!
17. A salesperson earns a base monthly salary of $2000 plus a 10% commission on sales. The salesperson's
monthly income I (in dollars) is given by the function I(s) = 0.1s + 2000, where s is the sales (in
dollars) that the salesperson makes. Sketch a graph to illustrate each situation using the graph of
I(s) = 0.1s + 2000 as a reference.
A. The salesperson's base salary is increased.
B. The salesperson's commission rate is decreased.
The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are: [tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
The function is given as:
[tex]\mathbf{I(s) = 0.1s + 2000}[/tex]
When the base salary is increased, a possible function is:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex]
This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:
[tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
See attachment for the graphs of both functions
Read more about linear equations at:
https://brainly.com/question/21981879
Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=
Answer:
120
Step-by-step explanation:
Given arithmetic sequence
3,5,7,9,.........,21
The first term a=3 & a common difference d=5−3=7−5=⋯=2
If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as
l=a+(n−1)d
21=3+(n−1)2
n=10
hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula
Sn=n2(a+l)
S10=102(3+21)
=120
Name the part of AKTH.
TS is a(n) [blank].
PLEASE PLEASE HELP !!!
Answer:
I'm pretty sure that's an angle.
Step-by-step explanation:
Give the x-intercept for the equation 6x + 3y = -9
Answer:
-9/6 or -3/2
Step-by-step explanation:
To find the x intercept, substitute y = 0 into the equation:
6x + 3(0) = -9
Now simplify,
6x + 0 = -9
6x = -9
x = -9/6 → -3/2
Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead
What is the value of x in the equation 3(4x - 6) - 2x + 1 = 3 - (3x - 6)?
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x = 2
So the value of x is 2
❗ℂℝℝℂ ℕℝ+ℙℕℕ ℍ ℝ ℝℕ + ℙℕ❗
~Simplify fully:
[tex] \sqrt{12} [/tex]
[tex] \sqrt{27} [/tex]
[tex] \sqrt{50} [/tex]
thanks xx)
Answer:
Exact Form: 2 √ 3 , 3 √ 3 , 5 √ 2
[tex] \sqrt{12} \\ = \sqrt{4 \times 3} \\ = \sqrt{2 \times 2 \times 3} \\ = \boxed{ 2 \sqrt{3} }[/tex]
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
[tex] \sqrt{27} \\ = \sqrt{9 \times 3} \\ = \sqrt{3 \times 3 \times 3} \\ \boxed{3 \sqrt{3} }[/tex]
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
[tex] \sqrt{50} \\ = \sqrt{5 \times 10} \\ = \sqrt{5 \times 5 \times 2} \\ = \boxed{5 \sqrt{2} }[/tex]
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
approxomate negative square root of 23 to the nearest tenth. draw the point on the number line
Answer:
Step 1: Calculate
We calculate the square root of 23 to be:
√23 = 4.79583152331272
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
4.79
Step 3: Round
Round 4.79 so you only have one digit after the decimal point to get the answer:
4.8
To check that the answer is correct, use your calculator to confirm that 4.82 is about 23.
The negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.
What is a perfect square number ?Number which are formed by multiplying a number with itself once are called perfect square numbers.
Now the given number is,
negative square root of 23
Thus we have, [tex]-\sqrt{23}[/tex]
So the value of [tex]-\sqrt{23}[/tex] is -4.79
To round to the nearest tenth, so the digit at the tenth place is 7 and digit at right of 7 is 9 which is greater than 5 so roundup the digit.
Thus we get,
[tex]-\sqrt{23}[/tex] = 4.8
Thus, this point will lie between 4 and 5 and more closer to 5.
Thus, the negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.
Learn more about perfect square here :
brainly.com/question/997406
#SPJ2
calcular el valor de la fuerza desconocida en cada gráfico, si el sistema esta en equilibrio (les pongo coronita :c ayuda porfaaa)
Answer:
7. F=24N
8. P=16N
Step-by-step explanation:
the sum of all forces will equals 0
this problem is difficult and i dont want homework
Answer:
The area is 49/12 or 4 1/12
Step-by-step explanation:
The area of a triangle is:
a = 1/2 × base × height
a = 1/2 × 3 1/2 × 2 1/3 (4 2/3 is not the height!)
a = 1/2 x 7/2 x 7/3 (I converted all the fractions into improper fractions)
a = 49/12 (1 × 7 × 7 = 49, 2 × 2 × 3 = 12)
You can convert it back to a mixed number:
49/12 = 4 1/12
Hope this helps!
Pleasee help me this stuff hard
Answer:
3x-8=2x+8
1x-8=8
1x=16
x=16
your answer is x=16.
The population of a school is 800 students and is increasing at a rate of 2% per year. Use an
exponential function to find the population of the school after 9 years.
Answer:
7344 (yo i haven't done this since like 5th grade so i dont know if its right)
Step-by-step explanation:
800 increase by %2 is 816
816 x 9 = 7344
3. Dean has these cans of soup in his kitchen cabinet: 2 tomato, 3 chicken, 2 cheese, 2 potato, 1 beef. Dean will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of beef soup both times? *
Answer:
2/20 or 0.1
Step-by-step explanation:
So we are given this data:
Tomato = 2
Chicken = 3
Cheese = 2
Potato = 2
Beef = 1
Total Chances (Sum Of All)
Total = 10
Beef is 1
To get beef soup one time it would be 1/10
what about 2 times
we can just multiply by 2*
so 1 / 10 * 2 = 2 / 20 or 0.1
The Answer would be 2/20 or 0.1
Please help due today
Select all values equal to 4/5
A -(-4/5)
B -(-4/-5)
C -4/-5
D 4/-5
Find the arc length of the subtending arc for an angle of (3pi)/8 on a circle of radius 4.
Answer:
3pi/2
Step-by-step explanation:
(4) 3pi/8 =3pi/2
Can anyone help me with this?
Answer:
Step-by-step explanation:
The formula F=95C+32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperature measured in degrees Fahrenheit when the Celsius temperature is 50°C?
Answer:
122°F
Step-by-step explanation:
F=(50×9/5)+32
= 122°F
James scored a total of 60 points during 2 games of basketball. He scored 3 times as many points in the second game what were
James's point totals for each game?
first game: 10 points; second game: 50 points
first game: 15 points; second game: 45 points
first game: 20 points; second game: 40 points
first game: 25 points; second game: 35 points
Answer:
15 and 45
Step-by-step explanation:
15*3=45
15+45=60
hope this helps!
CAN SOMEONE PLEASE HELP MEEEE
Answer:
a) and e)
Step-by-step explanation:
7 * 1/2 = 3.5
3.5 / 2 = 1.75
? = 1.75
a) 2 * 1.75 = 7 * 1/2 (correct!)
b) 7 * 1/2 * 1.75 = 2 (wrong!)
c) 2 * 7 * 1/2 = 1.75 (wrong!)
d) 1.75 * 7 * 1/2 = 2 (wrong! this is the b) backwards)
e) 1.75 * 2 = 7 * 1/2 (correct! this is the a) backwards)