Answer:
(x - 4)^2 + 4
Step-by-step explanation:
x^2 - 8x + 20
= x^2 - 2*4*x + 16 + 4
= x^2 - 2*4*x + 4^2 + 4
= (x - 4)^2 + 4
= (x - a)^2 + a, with a = 4
Hope this helps!
How long would it take an investment to triple if it earns 1.5% interest, compounded monthly? Round your answer to the nearest hundredth.
Answer:
73.3 years
Step-by-step explanation:
Use the Compound Amount formula:
A = P(1 + r/n)^(n*t)
Here A = 3P, r = 0.015, n = 12, and so we have:
3 = (1 + 0.015/12)^(12*t). Find t (in years)
3 = (1.00125)^(12*t)
Take the log of both sides. We get:
log 3 = (12*t)(log 1.00125), or 0.47712 = (12*t)(5.425*10^(-4)
0.47712
Solving this for t, we get t = --------------------------- = 73.3 years
(12)(5.425*10^(-4))
Evaluate........................................................................................... -|-7 + 3|
Answer:
-4
Step-by-step explanation:
-|-7 + 3|
-|-4|
-4
Answer:-4
Step-by-step explanation:
-|-7 + 3|
-|-4|
-4
For some reason my answer was deleted and looks as if the deleted user copied my explanation before it to be all deleted
Hope that helps
4) The width of a rectangle is 8 inches. The length is 4 times its
width
What is the area of the rectangle?
A) 35 in
306 1/4 ft.
A) 43 3/4 ft.
C) 280 fta
D)
Answer:
Length = 4 * 8 = 32
Area = width * length = 8 * 32 = 256 square inches
Step-by-step explanation:
Answer:
A =256 inches^2
Step-by-step explanation:
width = 8 inches
length = 4 w = 4*8 = 32
A = l*w
A = 32*8
A =256 inches^2
from the top of a tree the angle of depression of a rock on the ground is 49 degrees. If the tree is 18.5 m tall, how far is the rock from the base of the tree?
Answer:
Step-by-step explanation:
If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.
We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,
[tex]tan(49)=\frac{18.5}{x}[/tex] and
[tex]x=\frac{18.5}{tan(49)}[/tex] and on your calculator in degree mode, you will find that
x = 16.08 m
The sample shows how many items 7 people checked out from a library (2,3,13,2,3,6,2) make a dot plot to show data. What is the range? What is the median?
Answer:
Range: 11
Median: 3
Step-by-step explanation:
2, 2, 2, 3, 3, 6, 13
Range: Highest value - Lowest value = final answer
Median: the middle number on the data set or the listed numbers.
Range: 13 - 2 = 11
Median: 3
Let (-3,5) be a point on the terminal side of theta. Find the exact values of sin theta, secant theta, and tangent theta
Can someone please help me out with this? If possible, providing a diagram would be helpful!
Answer:
Cosθ = 0.5145
Sinθ = 0.8575
Secθ = 1.9436
tanθ = 1.667
Step-by-step explanation:
From the figure attached,
Point P(-3, 5) is on the terminal side and AB is the initial side of the angle PAB.
If m∠PAB = θ
AB = [tex]\sqrt{(3)^{2}+(5)^{2}}[/tex]
= [tex]\sqrt{34}[/tex]
= 5.831
Then Cosθ = [tex]\frac{AB}{AP}[/tex] = [tex]\frac{3}{5.831}[/tex]
Cosθ = 0.5145
Sinθ = [tex]\frac{PB}{AP}[/tex]
Sinθ = [tex]\frac{5}{5.831}[/tex]
Sinθ = 0.8575
Secθ = [tex]\frac{1}{\text{Cos}\theta}[/tex]
Secθ = [tex]\frac{1}{0.5145}[/tex]
Secθ = 1.944
tanθ = [tex]\frac{PB}{AB}[/tex]
tanθ = [tex]\frac{5}{3}[/tex]
tanθ = 1.667
1
The diagram below shows the length and width of the wall
that Tara is going to cover with wallpaper.
24 feet
(15 feet
What is the least amount of wall paper Tara will need to
cover the entire area of the wall?
A 39 square feet
C 350 square feet
B 78 square feet
D 360 square feet
Answer:
D. 360 square feet
Step-by-step explanation:
The area of Tara's wall is 24 times 15 which equals 360 sq. feet. This means she would need the same amount of wallpaper to cover it.
Answer this, pic below
Answer:
The answer is, A. it is constant
Step-by-step explanation:
Between the x values 4 and 8 the line does not decrease or increase. It stays in a straight line causing it to be constant.
Answer: Its constant ( constant means it isnt moving like its just stable)
A box has the shape of a rectangular prism with height 28 cm. If the height is increased by 0.6 cm.
i have nothing to do so add my roblox acccount i might be inactive alot
user- dennisalvez1_alt
Answer:
The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)
Step-by-step explanation:
we know that
The surface area of the rectangular prism is equal to where B is the area of the base P is the perimeter of the base h is the height of the prism If the height is increased by 0.2 then The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)
Answer:
who even plays roblox anymore
Step-by-step explanation:
ABCE is a cyclic quadrilateral. AED and BCD are straight lines. AC= CD, angle ABC= 45 degrees and angle ACE = 20 degrees. Work out angle ECD
Answer:
∠ECD is 110°
Step-by-step explanation:
For a cyclic quadrilateral,
∠ABC + ∠AEC = 180°
Therefore ∠AEC = 180° - 45° = 135°
∠CAE + ∠ACE + ∠AEC = 180° (Angles in a triangle)
Therefore ∠CAE = 180 - 20 - 135 = 25°
∠CAE = ∠CDA = 25° (Base angles of isosceles triangle ΔCAD)
∠CED + ∠AEC = 180°(Sum of angles on a straight line)
Therefore ∠CED + 135° = 180°
∠CED = 180° - 135° = 45°
∠ECD + ∠CED + ∠CDA = 180°
Therefore ∠ECD = 180° - (∠CED + ∠CDA)
∠ECD = 180° - (45° + 25°) = 110°
Therefore, ∠ECD = 110°.
What is the product?
(5r+2)(3r-4)
O 151+
O 15% -8
O 15p+148-8
O 151²-145-8
Answer:
15r²-14r-8
Step-by-step explanation:
Use FOIL for this:
(5r+2)(3r-4)
First: 5r × 3r = 15r²
Outer: 5r × (-4) = -20r
Inner: 2 × 3r = 6r
Last: 2 × (-4) = -8
15r²-20r+6r-8=
15r²-14r-8
f(x). - graph with a line going through (-2.8) and (-4,0)
g(x) = 3x - 4
h(x)
Kelly had 4 apples
in her kitchen on
Monday. On
Tuesday, only 1
was left.
x. j(x)
-2. -2
2. 10
6. 22
Compare and contrast these four functions using complete sentences. Focus on the
slope and y-intercept first, and then on any additional properties of each function.
(10 points)
One possibility could be :
y = x - 3
wherein:
x : number of apples on Monday
y : number of apples on Tuesday, the day after
Hope I helped you! :)
Have a great day/night!!
The total surface area of a cube is 96 cm2. Find its volume.
(1) 256 cm3
(2) 64 cm3
(3) 16 cm3
4) 4 cm3
Answer:
The answer is B or number (2)64 cm3.
Hope that's work for you.Answer:
64 cm3
Step-by-step explanation:
trust i'm a doctor
Problem ID: PRABKC7M
Each year, roughly 106 computer programmers each make about $105. How much money is this all together? Express your
answer both as a power of 10 and as a dollar amount.
What is your answer as a dollar amount?
Put the following numbers in order from least to greatest.
3)-1.7, 2, 0,-5
4) 4.5, -3,1/2,-2.3
5) -2.8, -2/3, -209
help me!
solve for w
Answer:
w = 5 , w = -5
Step-by-step explanation:
w^2 = 25
Take the square root of each side
sqrt(w^2) = ± sqrt(25)
w = ±5
Answer:-5 or 5
Step-by-step explanation: square root both sides, 5x5=25 and -5x-5 could equal 25
My mom built a new sandbox that is 3 \text { m}3 m3, start text, space, m, end text long, 2 \text { m}2 m2, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high for my sister and me. Sand for the sandbox costs \$4.50$4.50dollar sign, 4, point, 50 per cubic meter. How much will it cost to completely fill the sandbox with sand? \$$dollar sign
Answer:
$27
Step-by-step explanation:
The dimensions of the sandbox (that is a rectangular prism) are 3m x 2m x 1m.
We need to first find the volume of the sandbox.
The volume of a rectangular prism is:
V = L * W * H
where L = length
W = Width
H = height
The volume of the sandbox is:
V = 3 * 2 * 1 = [tex]6 m^3[/tex]
Sand for the sandbox costs $4.50 per cubic meter.
The cost to completely fill the sandbox is:
4.50 * 6 = $27
what is the value of the expression 1/2 (m÷3) +n A. 13/5 B. 13/10 C. 15/11 D. 15/17
Answer:
So far I have gotten 3m + n, there is not equal sign so I am unable to finish this question further.
Step-by-step explanation:
slove for x.
3x+13=68
Answer:
X= 55/3 = 18.333
Step-by-step explanation:
Step 1 : Solving a Single Variable Equation : 1.1
Solve : 3x-55 = 0
Add 55 to both sides of the equation : 3x = 55
Divide both sides of the equation by 3: x = 55/3 = 18.333
Answer: X= 55/3 = 18.333
Hope i made your day if not. Then what is wrong with your life. :)
Answer:
[tex]x = 18.33[/tex]
Step-by-step explanation:
[tex]3x + 13 = 68 \\ 3x = 68 - 13 \\ 3x = 55 \\ \frac{3x}{3} = \frac{55}{3} \\ x = 18 .33[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the circumference of the circle with the given radius or diameter. (Use 3.14 for n.)
diameter = 26 ft
a. 530.66 ft
b. 81.64 ft
C.
2,122.64 ft
d.
40.82 ft
Please select the best answer from the choices provided
А
С
Mark this and return
Save and Exit
Next
Submit
Answer:
C =81.64 ft
Step-by-step explanation:
The diameter is 26
C = pi * d where d is the diameter
C = 3.14 *26
C =81.64 ft
Answer:
81.64 ft.
Step-by-step explanation:
Circumference = 2 x 3.14 x 13
PLEASE I MARK U THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Estimate the angle measure of the angle below
Answer:
20 degrees
I know that it is acute, meaning it is less than 90. It is also less than 45 degrees, and is in the middle of 45 to 0 degree interval, so I say it is 20 degrees.
Write −1/2x+y=10 in slope-intercept form.
Answer:
[tex]y=\frac{1}{2} x+10[/tex]
Step-by-step explanation:
[tex]-\frac{1}{2} x+y=10\\[/tex]
Add [tex]\frac{1}{2} x[/tex] to both sides
[tex]y=10+\frac{1}{2} x\\\\y=\frac{1}{2} x+10[/tex]
Write the formula for
the function whose
parabola is narrow,
opens downward, has a
y-intercept of (0,-3.14),
and has NO x-intercepts.
Answer:
Equation of the parabola x² = -12.56 y
Step-by-step explanation:
Explanation:-
Given Y- intercept ( 0, -3.14)
Given Focus is ( 0 , -a) = ( 0, -3.14)
So a = 3.14 center C(0,0)
The graph of the parabola is downwards and the axis of the parabola is Y-axis.
Equation of the standard parabola x² = -4 a y
x² = -4 (3.14) y
x² = - 12.56 y
Conclusion:-
Equation of the parabola x² = -12.56 y
Find x if 8.4% of x is 420.The right answer will be marked as brainliest and the wrong answer will be reported
Will the following list have a large or small standard deviation?
7, 6, 5, 8, 9, 1, 0, 4, 3, 2
A) small
B) not enough information
C) large
Answer:
the standared deviation =2.87 so it is small
Step-by-step explanation:
to calculate the standard deviation of those numbers:
1- Work out the Mean (the simple average of the numbers)
(7+6+5+8+9+1+0+4+3+2)/10=4.5
Then for each number: subtract the Mean and square the result.
[(7 - 4.5)^2 + ... + (2 - 4.5)^2]/10=8.25
√8.25=2.87≅3
Answer:
A. Small
Step-by-step explanation:
How many intersections are there of the graphs of the equations below? One-halfx + 5y = 6 3x + 30y = 36 none one two infinitely many
Answer:
infinitely many
Step-by-step explanation:
You have the system
(1/2)x + 5y = 6
3x + 30y = 36
Multiplying the first equation by 6 results in 3x + 30y = 36, which is exactly the same as the second equation. The two graphs coincide, and so there are infinitely many solutions to this system
Answer:
infinitely many
Step-by-step explanation:
1/2x + 5y = 6 ⇒ x+10y=123x + 30y = 36 ⇒ x+10y=12As we see, these are equal lines, they overlap, so there are infinitely many intersections
what is 5 over 4 equal -4 plus 1 over 4
Answer:
I think is -0.4375
Step-by-step explanation:
Make x the subject of:
h = 4 ( x + 3y ) + 2
Step-by-step explanation:
h = 4(x+3y)+2
h = 4x + 12y + 2
4x = 14y
Answer:
(h-12y-2)/4
Step-by-step explanation:
h=4x+12y +2
h-12y-2=4x
x=(h-12y-2)/4
Which of the following is the inverse of the statement "If I do my homework,
then it will snow"?
O A. If I do not do my homework, then it will snow.
B. If it does not snow, then I will not do my homework.
C. If it snows, then I will do my homework.
D. If I do not do my homework, then it will not snow.
SUBMIT
Answer:
D. If I do not do my homework, then it will not snow.
Explanation:
An inverse of anything is the contrary or opposite of the given statement or idea or anything. And in a way, it is the same as the antonym, opposite or contradictory factor of the given point.
The given sentence/ proposition is-
if I do my homework, then it will snow.
In this sentence, the hypothesis of the homework getting done concludes that it will snow. So, for the inverse of this proposition, the positive nature of the sentence will be turned into a negative one.
Thus, the correct answer will be such that if the homework is not done, then it will also not snow. So, the correct answer is option D.
Answer: it’s D
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Answer:
324
Step-by-step explanation:
[tex]4p^2= \\\\4(9)^2= \\\\4\times (9\times 9)= \\\\4\times (81)= \\\\\boxed{324}[/tex]
Hope this helps!
Answer:
324
Step-by-step explanation:
If p=9, then the expression would be 4(9)². 9² is 81 and 81*4 is 324
