Answer:
8^2+20-30x
Step-by-step explanation:
Answer:
Hello
B. -19
Step-by-step explanation:
= (-7)+7-(19)
= (-7+7)-19
= 0-19
= -19
One company buys a new bulldozer for $130800. The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800. Express the value of the Bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation
Given :
One company buys a new bulldozer for $130800.
The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800.
To Find :
The value of the Bulldozer, V, as a function of how many years old it is, t.
Solution :
Let, the equation is :
V = mt + c .....1)
For, t = 0 years
V = m(0) +c = $130800.00
c = $130800.00
For, t = 20 years
V = 20m + c = $19800.00
Putting value of c in above equation, we get :
20m + $130800.00 = $19800.00
m = (19800.00-130800.00 )÷20
m = -5550
Putting value of m and c in equation 1, we get :
V = -5550t + 130800
Hence, this is the required solution.
Triangle XYZ is reflected across the y-axis to create triangle PQR (not shown).
What is the measure, in degrees, of angle R
Answer:
The measure of ∠R = 60°
Step-by-step explanation:
The given parameters are;
Triangle XYZ is reflected across the y-axis to create triangle PQR
The measure of ∠Y = 30°
Triangle XYZ = A right triangle
The measure of ∠X = 90°
Where we have;
The image of the preimage of vertex X = P
The image of the preimage of vertex Y = Q
The image of the preimage of vertex Z = R
Therefore, given that a reflection is a rigid transformation, we have;
The measure of ∠X = The measure of ∠P
The measure of ∠Y = The measure of ∠Q
The measure of ∠Z = The measure of ∠R
Given that the measure of ∠Y = 30° and the measure of ∠X = 90°
∠X +∠Y + ∠Z = 180° (angle summation of a triangle property
∴ The measure of ∠Z = 180° - (∠X + ∠Y) = 180° - (90° + 30°) = 60°
Therefore;
The measure of ∠Z = 60° = The measure of ∠R
The measure of ∠R = 60°.
A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation?
Answer:
The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3
Step-by-step explanation:
The given information are;
The vertices of ΔPQR are;
P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)
Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For side PQ, we have;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)
Given that the points have equal y-values, the length is the difference of their x-values as follows;
[tex]l_{PQ}[/tex] = 6 - 3 = 3
Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;
[tex]l_{QR}[/tex] = -3 - (-6) = 3
Length PR is given as follows;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)
[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]
[tex]l_{PR}[/tex] = 3·√2
For P'Q', we have
P'(-2, 2), Q'(-2, 1)
[tex]l_{P'Q'}[/tex] = 2 - 1 = 1
[tex]l_{P'Q'}[/tex] = 1
For Q'R', we have
Q'(-2, 1), R'(-1, 1)
[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1
[tex]l_{Q'R'}[/tex] = 1
For P'R', we have;
P'(-2, 2), R'(-1, 1)
[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]
[tex]l_{P'R'}[/tex] = √2
Therefore, given that we have
PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3
The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.
HELP THIS IS DUE IN 7 MINUTES
Answer:
it takes 3 more minutes
15 = 9 -1/2x HELP!! PLZ
Answer:
x=-12
are you okay???
if 3 kg of beans cost $1.50, how much does 2 kg cost
Answer:
2/3 of the price
Step-by-step explanation:
What number is 32% of 79?
thanks so much
Answer:
25.28
Step-by-step explanation:
Answer:
25.28
Step-by-step explanation:
12. The table shows the height in feet of a stack of medium sized moving boxes. What is the height of a stack of 14 boxes
height = 2.25 * box.
So, 14 boxes = 2.25 * 14 = 31.5.
An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.
Answer:
The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Step-by-step explanation:
From the question, one bucket dumps water every 18 minutes, say bucket A;
and the other bucket dumps water every 16 minutes, say bucket B.
Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,
that is, both buckets dumped water at 2:30 P.M.
For bucket A, the next times it will dump water will be:
2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.
For bucket B, the next times it will dump water will be:
2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.
From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Put these numbers in order from least to greatest
4.9 4.5 314
Write the inverse of f(x)=(2x-4)/x PLS SHOW STEPS
Answer:
f^-1(x) = -4 / x - 2
Step-by-step explanation:
First swap the x and y values. This is done by setting f(x) to x, and x to y.
f(x) = (2x - 4) / x → x = (2y - 4) / y
*Then solve for y like you would for a normal equation*
x = (2y - 4) / y
×y ×y
(multiplication property of equality)
*This will isolate the extra y term*
__________________________
xy = 2y - 4
-2y -2y
(subtraction property of equality)
*This is done to group the like terms together, because they both share a y term now*
_____________________________
xy - 2y = -4
| |
v v
( x - 2 )
(GCF)
*In this case the GCF is y because it is the factor held in common, reverse distributive property*
________________________________
y(x-2) = -4
÷(x-2) ÷(x-2)
(Division property of equality)
*This is the last and final step to isolate the y term completely, so we can find the inverse*
y = -4/x-2
*This is the inverse*
Now just set it in function form as an inverse:
y = -4/x-2 → f^-1(x) = -4/x-2
HELP ME PLEASE HURRY
Answer:
x=-2
Step-by-step explanation:
what is 23^a + 23^b ?
Answer:
23^a + 23^b
Step-by-step explanation:
You can't simplify this further because they are different variables.
A triangle has sides of length 30 98 and 103 is it a right angle
Answer:
No because by definition, theres is no exact 90 degree angle to form a Right angle triangle
Answer:
No this triangle is not a right angle because right angle have exactly 90° value, corresponding to quarter turn.
Write an expression for the phrase -4 times the quantity 4 plus w
Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inches. Select the equation that most accurately depicts the word problem
A:x+2x^2=36
B:x+x+2x=36
C:2x+2x+2x=36
D:x+2x+2x=36
Answer:
Answer is below
Step-by-step explanation:
To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.
Answer:
D:X+2X+2X=36
Step-by-step explanation:
X+X=EQUAL AND DOUBLE THE SHORTEST SIDE
2[X+X]+[X]=36
There are 32 marbles in a bag 14 were red, what is the ratio of blue to red?
Please help
Answer: 9:7
Subtract 32 by 14, because there are 14 red marbles.
32 - 14 = 18.
Now, get the numbers 14 and 18. Reduce them to the lowest.
18 ÷ 2 = 9
14 ÷ 2 = 7
Make 9 & 7 to a ration.
Ration- 9:7
================================================
Explanation
There are 32 marbles and 14 are red. If there are only two colors, then we have 32-14 = 18 blue marbles.
The ratio of blue to red is 18:14. We write the two values separated by a colon. The order matters (blue comes first, then red).
The last step is to reduce the ratio 18:14 to 9:7. Note how I divided both parts by the GCF 2.
A dairy produces 420,000 quarts of milk each day. There are 4 quarts in a gallon. How many gallons of milk are produced each day? A 105,000 gal B) 1,680,000 gal С 1,050,000 gal D 10,500 gal Question 10 2 Points
Answer:
150000
Step-by-step explanation:
i use cal
what are -2 times -7?
what is -2+-7?
Which value of x makes the equation ,3 plus 0.75 ( x minus 2) equals 0.5 ( x + 20 ), true
Someone help fast for the bois??
Answer:
34
Step-by-step explanation:
3+0.75(x-2)=0.5(x+20)
3+0.75 x-1.5=0.5 x+10
1.5+0.75x=0.5 x+10
0.75x+0.5x=10-1.5
0.25x= 8.5
0.25/25, 8.5/0.25
x=34
what is the square root of 30.3 rounded to the nearest hundreth
What is the area of this polygon?
Pleasee help mee
I will mark brainliest!
Answer:
60 squared inches.
Step-by-step explanation:
You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.
The rectangle:
[tex]5(11)=55[/tex]
The triangle:
[tex]2(5)=10\\10/2=5[/tex]
Therefore, the whole polygon is 60 squared inches.
Like what the other one said, and thank you so much for the points.
1+1+1+1+1+1+2+2+2+3+4=4=====+2233=+
Answer:
78
Step-by-step explanation:
I can't figure this out, help-
-2(7-y)+4= -4
-14+2y =-4-4
-14 + 2y = -8
2y = -8+14
y = 6/2
y = 3
common factor the GCF of 27y^2 and 36^3
Help!! I gave u brainliest!
Answer:
15. -140.008
16. [tex]j = \frac{17-15q}{4}[/tex]
17. [tex]q = \frac{17 - 4j}{15}[/tex]
Step-by-step explanation:
15. -2.3(8.6)²+ 3.5(8.6)= -140.008
16.
15q + 4j = 17
4j = 17 - 15q
[tex]j = \frac{17-15q}{4}[/tex]
17.
15q + 4j = 17
15q = 17 - 4j
[tex]q = \frac{17 - 4j}{15}[/tex]
I think the answer is:
- 2(5x+3)/(x+1)(x-5)(x+3)
But another person said:
10x-6/(x+3)(x+1)(x-5)
Who is correct? *Btw for my answer the whole fraction is negative not just the top or bottom.*
is 6 rational or irrational??
Answer:
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
Hello!
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
❖ The number 6 is an integer
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :)
Step-by-step explanation:
Answer:
6 is rational.
Step-by-step explanation:
6 is rational because it is classified as a natural/counting number and a whole number.
In triangle ABC, angleACB is a right angle
Answer:
I think is 11.4
.........
The number 4 and the number 4/1 are
exactly the same. Explain why.
Step-by-step explanation:
Hey there!
It's obvious that 4 and 4/1 are exactly same.
Reason: something divided by 1 is always a a number same in a numerator.
Example;
1. 7/1 = 7
2. 5/1 = 5
Hope it helps..