Step-by-step explanation:
not wrong that is super right
Part A
Write the explicit formula in function form.
an = 5 +0.2(n - 1)
f(n) =
Part b
What is the y-intercept of the function
Answer:
A. [tex]f(n) =0.2n+4.8[/tex]
B. The y intercept is 4.8
Step-by-step explanation:
Given
[tex]a_n= 5 + 0.2(n-1)[/tex]
Solving (a): Write as a function.
To do this, we simply substitute f(n) for [tex]a_n[/tex]
[tex]a_n= 5 + 0.2(n-1)[/tex] becomes
[tex]f(n)= 5 + 0.2(n-1)[/tex]
Open Bracket
[tex]f(n) = 5 + 0.2n-0.2[/tex]
Collect Like Terms
[tex]f(n) =0.2n-0.2 + 5[/tex]
[tex]f(n) =0.2n+4.8[/tex]
B. The y intercept.
To get the y intercept, we set n to 0
i.e
[tex]f(0) =0.2 * 0+4.8[/tex]
[tex]f(0) =0+4.8[/tex]
[tex]f(0) =4.8[/tex]
Hence, the y intercept is 4.8
Steve props a ladder against a wall of a building so that the he can get to the roof and
throw water balloons at pedestrians. If the angle of elevation from the bottom of the
Aladder to the roof is 60°, and the building is 35 feet tall, how long must the ladder be
to the nearest tenth of a foot?
Answer:
30 ft
Step-by-step explanation:
you use 35x sin(60) because 35 is the hypotenuse and the angle is 60 degrees
what two ratios equivalent to the ratio of 9/4?
Answer: Ratio 4:9 is also 49 . This ratio is in reduced form (no whole can be divided into both evenly).
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. 9/4= 9/4 ÷ 2=?
2. 9/4 ÷2= 1.125
3. 1.125= 9/8 = 9:8
Need this by tonight
Answer:
[tex]f(-1)=\frac{-1}{2}[/tex]
[tex]g(-2)=\frac{5}{32}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define
[tex]f(x)=\frac{2x-1}{2x^3-8x}[/tex]
[tex]g(x)=\frac{2x-1}{2x^3+8x}[/tex]
f(-1) is x = -1
g(-2) is x = -2
Step 2: Evalaute
f(-1)
Substitute: [tex]f(-1)=\frac{2(-1)-1}{2(-1)^3-8(-1)}[/tex]Evaluate: [tex]f(-1)=\frac{2(-1)-1}{2(-1)-8(-1)}[/tex]Multiply: [tex]f(-1)=\frac{-2-1}{-2+8}[/tex]Subtract/Add: [tex]f(-1)=\frac{-3}{6}[/tex]Divide: [tex]f(-1)=\frac{-1}{2}[/tex]g(-2)
Substitute: [tex]g(-2)=\frac{2(-2)-1}{2(-2)^3+8(-2)}[/tex]Evaluate: [tex]g(-2)=\frac{2(-2)-1}{2(-8)+8(-2)}[/tex]Multiply: [tex]g(-2)=\frac{-4-1}{-16-16}[/tex]Subtract: [tex]g(-2)=\frac{-5}{-32}[/tex]Simplify: [tex]g(-2)=\frac{5}{32}[/tex]And we have our final answers!
URGE
Si la probabilidad es 0.70 de que un estudiante con muy altas calificaciones entre al TEC ¿Cual es la probabilidad de que tres de cinco estudiantes con muy altas calificaciones entren al TEC?
Answer:
La probabilidad de que el estudiante entre, es 0.7
Entonces la probabilidad de que el estudiante no entre, es 1 - 0.7 = 0.3.
Ahora, si de 5 estudiantes, 3 entran y 2 no, entonces la probabilidad para un dado arreglo es: 0.7 tres veces, y 0.3 dos veces.
Y la probabilidad conjunta es igual al producto de las probabilidades individuales.
P = (0.7^3)(0.3^2)
Pero esto es para un arreglo, tenemos que tener en cuenta las permutaciones.
Sabemos que para M elementos, el numero de diferentes arreglos de N elementos (tal que N ≤ M) es:
[tex]C(M, N) = \frac{M!}{(M - N)!*N!}[/tex]
En este caso, tenemos que M = 5 y N = 3, entonces tenemos:
[tex]C(5, 3) = \frac{5!}{2!*3!} = 5*4/2 = 10[/tex]
Entonces la probabilidad va a ser:
P = 10* (0.7^3)(0.3^2) = 0.3087
40 points!!!!!!!!!!!!!!!!!!!!
Answer:
23 decries up wards then move it down twice :)
Step-by-step explanation:
Answer:
23 decries up wards then move it down twice
Step-by-step explanation:
Give the person before me brainliest they got it first :)
in a group of 30 people 80% cant swim, how many can swim?
2 ÷ 1
_ _
5 7
i am too dumb to do this myself so help
Answer:
14/5 or
2.8 or
2 4/5
Step-by-step explanation:
Math
Answer:
2.8 or 14/5
keep change change
2×7=14
5×1=5
Step-by-step explanation:
pls help me i can’t fail
Answer:
$330
Step-by-step explanation:
[tex]\frac{24}{198} =\frac{40}{x}[/tex]
Cross multiply:
24x= 198(40)
to get x=330
ILL GIVE YOU BRAINLEST IF RIGHT!!
Answer:
6
Step-by-step explanation:
Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)
what is the function rule for the line?
a. y= -13/5x
b. y= -5/13x
c. y= 5x -13
d. y= -13x +5
Answer:
The Function rule for line is: [tex]\mathbf{y=-\frac{13}{5}x}[/tex]
Option A is correct option.
Step-by-step explanation:
Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)
The function rule is of form: [tex]\mathbf{y=mx+b}[/tex]
where m is slope and b is y-intercept
Finding slope:
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=0, y_1=0, x_2=5, y_2=-13[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-13-0}{5-0}\\Slope=\frac{-13}{5}\\Slope=-\frac{13}{5}[/tex]
Finding y-intercept
We will use point(0,0) to find y-intercept
[tex]y=mx+b\\0=-\frac{13}{5}(0)+b\\0=0+b\\b=0[/tex]
So, y-intercept is 0
The Function rule for line having slope m=-13/5 and y-intercept b=0:
[tex]y=mx+b\\y=-\frac{13}{5}x+0\\y=-\frac{13}{5}x[/tex]
So, The Function rule for line is: [tex]\mathbf{y=-\frac{13}{5}x}[/tex]
Option A is correct option.
15h - m = 13h + q pleas helppp
The answer fam is.......... H= q/2 + m/2
Please help. Please answer sensibly! I will give brainliest to the correct answers !
please answer! What is the scale factor from triangle a to triangle b?
What is the Answer (Easy)
Could you give a small explanation too.
Answer:
Yes the answer is 5sqrt(2)
Step-by-step explanation:
Since area is 25 we know side of square is 5. Thus the diagonal is 5sqrt(2)
Can someone please help me, thanks
There are a lot of questions here. I'll do problems 7 and 8 to get you started.
====================================================
Problem 7
The given equations are
y = x^2 + 5x - 2
y = 3x - 2
Since both right hand sides are equal to y, we can equate them, get everything to one side, and solve
x^2 + 5x - 2 = 3x - 2
x^2 + 5x - 2 - 3x + 2 = 0
x^2 + 2x = 0
x(x + 2) = 0
x = 0 or x + 2 = 0 ........ zero product property
x = 0 or x = -2
Now plug each x value back into one of the original equations given
If x = 0, then
y = 3x-2
y = 3*0-2
y = -2
Making (0,-2) as one solution. Repeat for the x value x = -2
y = 3x-2
y = 3(-2)-2
y = -8
The point (-2, -8) is the other solution to the system.
-------------------------------
Answer: There are two solutions and they are (0, -2) and (-2, -8)
====================================================
Problem 8
y = -x^2 - 3x + 2
y = x + 6
We'll use the same idea as before
y = -x^2 - 3x + 2
x + 6 = -x^2 - 3x + 2
x + 6 + x^2 + 3x - 2 = 0
x^2 + 4x + 4 = 0
Now factor the left side to solve for x
(x+2)(x+2) = 0
(x+2)^2 = 0
x+2 = 0
x = -2
Use this x value to find y
y = x+6
y = -2+6
y = 4
Or we can cay
y = -x^2 - 3x + 2
y = -(-2)^2 - 3(-2) + 2
y = 4
We get the same y value either way.
-------------------------------
Answer: There is one solution and it is (-2, 4)
Match each expression on the left with an equivalent expression on the right
Answer: See explanation
Step-by-step explanation:
You didn't give the expressions but here are some expressions
a. ✓4x²y^4. 1. 2x✓y
b. ✓8x²y. 2. 2y✓2x
c. ✓4x²y. 3. 2xy²
d. ✓16xy². 4. 2x✓2y
e. ✓8xy². 5. 4y✓x
a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4
= 2 × x × y²
= 2xy²
Therefore, ✓4x²y^4 = 2xy²
b. ✓8x²y = ✓8 × ✓x² × ✓y
= ✓4 × ✓2 × ✓x² × ✓y
= 2 × ✓2 × x × ✓y
= 2x✓2y
Therefore, ✓8x²y = 2x✓2y
c. ✓4x²y = ✓4 × ✓x² × ✓y
= 2 × x × ✓y
= 2x✓y
Therefore, ✓4x²y = 2x✓y
d. ✓16xy² = ✓16 × ✓x × ✓y²
= 4 × ✓x × y
= 4y✓x
Therefore, ✓16xy² = 4y✓x
e. ✓8xy² = ✓8 × ✓x × ✓y²
= ✓4 × ✓2 × ✓x × ✓y²
= 2 × ✓2 × ✓x × y
= 2y✓2x
Therefore, ✓8xy² = 2y✓2x
Answer:
Step-by-step explanation:
help me please i have been stuck on this
Answer:
3 1/8
Step-by-step explanation:
You can rewrite 1 1/4 as 1 2/8, so adding them you'd get 2 9/8, or 3 1/8
HURRY PLEASEE!!!! Alexandria planted a rose bush that was 26 inches tall several years ago. The rose bush has grown at a race of approximately .75 inches per year. Alexandria uses this equation to calculate the bush’s height, h. 0.75x + 26 = h What does the x represent in this equation?
Group of answer choices
The x represents the number of years since the rose bush was planted
The x represents the heights of the rose bush today.
The x represents the bush’s growth each year.
The x represents the starting height of the rose bush
Of 48 people ,25% named grape juice as their favorite fruit juice .How many people preferred grape juice?
Answer:
it is 12 people
Step-by-step explanation:
i looked it up on Google. all you have to do is type in 25 percent of 48
the difference between two numbers is 10 and their sum is four times the smaller number. find the two numbers
Answer:
The smaller number is 5.
The bigger number is 15.
Step-by-step explanation:
Let the smaller number be x and the bigger number be x+10.
x+x+10 = 4x
2x+10 = 4x
10 = 4x-2x
2x = 10
x = 10÷2
= 5
x+10 = 5+10
= 15
between which two numbers is -2/3 located on a number line?
Answer:
-1 and 0
-2/3 lies between numbers -1 and 0
Answer:
D
Step-by-step explanation:
Have a great da༼ つ ◕_◕ ༽つy!
PLEASE. It’s due in 30min.
Answer:
BC, DB, CD
Step-by-step explanation:
The side opposite the largest angle must be the largest side and the side opposite the smallest angle must be the shortest. 96 degrees is opposite CD and 30 degrees is opposite BC.
A 17 year old female high school student feels that she is overweight. Her weight is 145 and height 5'4. Calculate the BMI. Round your answer to one decimal place.
Answer:
BMI is 24.9
Step-by-step explanation:
In order to calculate the student's BMI we first need to convert her weight into kilograms and her height into meters. We know that there are 39.37 inches in a meter and every foot has 12 inches. Therefore, since the student is 5ft 4 inches, this means she is 64inches tall. Now we can divide this by 39.37 to find her height in meters
64 / 39.37 = 1.6256 meters
Now we need to calculate her weight in kilograms. Since there are 2.20462 pounds in 1 kilogram, we simply divide her weight by 2.20462.
145 / 2.20462 = 65.7709 kilograms
Now we use the BMI formula to solve for the students BMI
BMI = [tex]\frac{mass}{height^{2} }[/tex]
BMI = [tex]\frac{65.7709}{1.6256^{2} }[/tex]
BMI = [tex]\frac{65.7709}{2.6425}[/tex]
BMI = 24.88
Therefore we can see that the students BMI is 24.9
help me pls geometry
Answer:
[tex] y = \frac{1}{2}x + \frac{1}{4} [/tex]
Step-by-step explanation:
Equation in slope-intercept form is given as [tex] y = mx + b [/tex]
An equation parallel to [tex] y = \frac{1}{2}x + \frac{5}{2} [/tex] would have the same slope as the equation.
The slope (m) of the line would be ½.
m = ½.
Given that this same line runs through or contains (³/2, 1), we cam find the value of b (y-intercept) by substituting m = ½, x = ³/2, and y = 1 in [tex] y = mx + b [/tex].
Thus:
[tex] 1 = (\frac{1}{2})(\frac{3}{2}) + b [/tex]
[tex] 1 = \frac{3}{4} + b [/tex]
Subtract both sides by ¾
[tex] 1 - \frac{3}{4} = b [/tex]
[tex] \frac{1}{4} = b [/tex]
To derive the equation, substitute m = ½, and b = ¼ in [tex] y = mx + b [/tex].
✔️The equation is:
[tex] y = \frac{1}{2}x + \frac{1}{4} [/tex]
If a = 2 + i, and b = 3 – 2i, what is a/b?
Answer:
it's [tex]\\\frac{4}{13} +\frac{7}{13}i[/tex]
Step-by-step explanation:
Please help Do not use me for a point please please help
-16/99
I believe this is correct, please mark brainliest! Have an amazing day and stay safe!
need some help please
Answer:
3 cups
Step-by-step explanation:
Write each expanded expression as a power.
1.7 x 1.7 x 1.7 =
Answer:
1.7^3
Step-by-step explanation:
i cannot see your answer options so I hope this helps!!!!
What are some ways you can convince jada that her claim is not true
Answer:
you prove her wrong with dem facts!