Use the figure on the right to find the length of DC.
Answers
Answer:
this is the figure btw
Step-by-step explanation:
Related Questions
14.) Mr. Lovell was playing cards with his son. In the first round he earned 52
points. In the second round he lost 20 points. How would you write this as
an addition problem?
Answers
Answer:
That would be;
+52-20
Step-by-step explanation:
From the first part, he gained/earned 52 points
This is a positive so we have + 52
In the second round , he lost 20
This is a negative so we have - 20
Writing this as an addition problem, it will be;
+52-20
18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue
Answers
Answer:
Step-by-step explanation:
14
Hailey is going to use a computer at a Internet cafe. The cafe charges $1.50 for every minute using a computer on top of an initial charge of $4. Make a table of values and then write an equation for C, in terms of t, representing the total cost of using a computer for t minutes at the Internet cafe.
Answers
Answer:
The equation is C(t) = 1.50t + 4.00 and the data table is below.
Step-by-step explanation:
We are given that a cafe charges $1.50 for every minute that someone uses the internet. The cafe also charges an initial $4 fee to use the internet.
We need to find a function, in terms of t, that will find these values.
We can treat this as a linear equation. If we initially pay $4, this is acquired before we pay the fee every minute. Therefore, this would be our y-intercept at x = 0. Our first coordinate is (0, 4).
Secondly, if we are charged every minute, this would be a recurring payment and therefore we would spend $1.50 after each minute elapses. This gives us our slope: 1.50 or [tex]\frac{3}{2}[/tex].
Therefore, we can set up our function.
C is the total cost and t is the time, in minutes, that internet is used at the cafe. Our equation can be set up as [tex]C(t) = 1.50t + 4.00[/tex].
Now, we can create a table of values for t = 0 to t = 5 to determine what C(t) is at each of these prime intervals.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{C} & \textbf{t} \\ \cline{1-2} a & 0 \\ \cline{1-2} b & 1 \\ \cline{1-2} c & 2 \\ \cline{1-2} d & 3 \\ \cline{1-2} e & 4 \\ \cline{1-2} f & 5 \\ \cline{1-2} \end{array}[/tex]
This is what our table looks like, but we need to fill the C column. Therefore, we can use substitution of our t-values into the equation and solve for C.
[tex]\bullet \ \text{For t = 0,}[/tex]
[tex]C(0) = 1.50(0) + 4\\\\C(0) = 0 + 4\\\\C(0) = 4.00[/tex]
[tex]\bullet \ \text{For t = 1,}[/tex]
[tex]C(1) = 1.50(1) +4\\\\C(1) = 1.50 + 4\\\\C(1) = 5.50[/tex]
[tex]\bullet \ \text{For t = 2,}[/tex]
[tex]C(2) = 1.50(2) + 4\\\\C(2) = 3.00 + 4\\\\C(2) = 7.00[/tex]
[tex]\bullet \ \text{For t = 3,}[/tex]
[tex]C(3) = 1.50(3) + 4\\\\C(3) = 4.50 + 4\\\\C(3) = 8.50[/tex]
[tex]\bullet \ \text{For t = 4,}[/tex]
[tex]C(4) = 1.50(4) + 4\\\\C(4) = 6.00 + 4\\\\C(4) = 10.00[/tex]
[tex]\bullet \ \text{For t = 5,}[/tex]
[tex]C(5) = 1.50(5) + 4\\\\C(5) = 7.50 + 4\\\\C(5) = 11.50[/tex]
Now, we can insert these values into our table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{C} & \textbf{t} \\ \cline{1-2} 4.00 & 0 \\ \cline{1-2} 5.50 & 1 \\ \cline{1-2} 7.00 & 2 \\ \cline{1-2} 8.50 & 3 \\ \cline{1-2} 10.00 & 4 \\ \cline{1-2} 11.50 & 5 \\ \cline{1-2} \end{array}[/tex]
Therefore, our equation is C(t) = 1.50t + 4.00 and our data table is above.
For f(x) =1/x^2-3
find:
(a) f(3) (3 points)
(b) f(2+h) (3 points)
Answers
Answer:
[tex]f(3) = \frac{-26}{9}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{x^2} - 3[/tex]
Required
Find f(3) and f(2 + h)
Solving f(3)
Substitute 3 for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(3) = \frac{1}{3^2} - 3[/tex]
[tex]f(3) = \frac{1}{9} - 3[/tex]
Take LCM
[tex]f(3) = \frac{1 - 27}{9}[/tex]
[tex]f(3) = \frac{-26}{9}[/tex]
Solving f(2 + h)
Substitute 2 + h for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)(2 + h)} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 2h + 2h + h^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 4h + h^2} - 3[/tex]
Take LCM
[tex]f(2 + h) = \frac{1- 3(4 + 4h + h^2)}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{1- 12 - 12h - 12^2}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
What is the value of x in the equation 2(6x+4)-6+2x = 3(4x+3)+1? 0 1 & 03 O 4 06
Answers
Answer: its 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. im prob to late but i need points
The value of x in the equation is 4.
What is an algebraic expression?An Algebraic expression shows the expression of variables with numbers. The purpose of an algebraic expression is to determine the unknown variable represented by an unknown letter.
From the given information:
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
Open brackets
12x + 8 - 6 + 2x = 12x + 9 + 1
Collect like terms
12x + 2x - 12x = -8 + 6+9 + 1
14x - 12x = -8 + 16
2x = 8
x = 8/2
x = 4
Learn more about algebraic expression here:
https://brainly.com/question/4344214
In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.
Answers
Answer:
5:6
Step-by-step explanation:
the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped
Which of the following shows (2x + y) 4 (4 is small) In expanded notation?
Answers
Answer:
8x+4y
Step-by-step explanation:
so use the distributive property and multiply 4 into (2x+y), so you get
(2x*4) + (y*4) = 8x + 4y
hope this helped
A hotel has 22 clean towels and 78 dirty towels. What is the ratio of the number of clean towels to the total number of towels?
Answers
Answer:
22:78
Step-by-step explanation:
lol
Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the
appropriate increments?
Reporting periods Sales
d out of 2
Flag
an
Jan-Mar., 2010
$100,000
Apr.-Jun., 2010
$55,000
Jul.-Sep., 2010
$45,000
Oct-Dec., 2010
$110,000
Jan. --Mar., 2011
$330,000
Apr.-Jun., 2011
$800,000
Jul.-Sep., 2011
$242,000
Oct-Dec., 2011
$150,000
Answers
Answer:
the months would be the x axis and the numbers would be the y axis and the increments could start at 45k and have to go up to 800k don't forget the years with the months
Express the following to percentage into fractions.
Answers
Answer:
65.2/100
Step-by-step explanation:
1/5 = 0,2
then:
65 1/5 = 65 + 0.2 = 65.2
65.2/100
Step-by-step explanation:
[tex]65 \div 1 \frac{5 \times 100 = 32500}{?} [/tex]
it comes to 325
304,056 trying to represent the value of this number using expanded notation we give the answer but is giving us an error so we want to find out our error
Answers
Answer:
(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)
Step-by-step explanation:
We want to represent the value of this number using expanded notation
Mathematically, that will be;
(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)
= 300,000 + 0 + 4000 + 0 + 50 + 6
= 304,057
63 divided by 3456 ?
Answers
3456 divided by 63 is 54.8571428571
Hope this helps!
1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.
Answers
Answer:
3 and 12
Step-by-step explanation:
3*5=15 and 15-3=12. The product of 3 and 12 is 36.
The integers are 3 and 12.
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
let the one integer be x.
Another integer = 5x - 3
According to question,
x *(5x-3 ) =36
5x ² -3 x =36
5x² -3 x - 36 = 0
5x² -15 x +12 x - 36 =0
5x( x-3) + 12 ( x -3) =0
(5x +12)( x- 3)=0
x= -12/5 or 3
So, the integers are 3 and 12.
Learn more about this concept here:
https://brainly.com/question/17023448
#SPJ2
X/4-14=9
what is x?
Answers
Step-by-step explanation:
x/4=9+14
x/4=23
x=92
iget 92
Justin wants to buy a new pair of Jean's. If the jeans were originally $50.00, but are on sale with a 30% discount, how much will just have to pay for the jeans?
Answers
Answer:oyoyoyohkyhiibjgi
Step-by-step explanation:
ykhitrjhithihtrnht
2
Viviana is ordering carpet
for 16 square rooms in a
hotel. Each room will need
100 square feet of
carpet. What is the
length of 1 room?
Answers
Answer:
Length of a room is 10ft
Step-by-step explanation:
Given
[tex]Rooms = 16[/tex]
[tex]Carpet\ Area = 100ft^2[/tex]
Required
Determine the length of each room
Here, we'll assume that the carpet will cover each room completely.
If so:
[tex]Carpet\ Area = Length * Length[/tex]
[tex]100ft^2 = Length * Length[/tex]
[tex]100ft^2 = Length^2[/tex]
Take square root of both sides
[tex]\sqrt{100ft^2} = \sqrt{Length^2}[/tex]
[tex]\sqrt{100ft^2} = Length[/tex]
Take positive square root
[tex]10ft = Length[/tex]
[tex]Length = 10ft[/tex]
Hence, the length of a room is 10ft
An investor flips a house, selling it for $88,000. If her profit was 30%, how much did she pay for the house originally? Round to two decimal places.
Answers
Answer:
She paid $67692.31 for the house originally.
Step-by-step explanation:
Let the initial cost of the house be [tex]x[/tex] dollars.
Given:
Selling price of the house (S.P) = $88000
Profit made = 30% of 'x' = [tex]0.30x[/tex]
We know that,
Profit = Selling Price - Original price
[tex]0.30x = 88000 - x[/tex]
Adding [tex]x[/tex] on both sides, we get:
[tex]0.30x+x = 88000\\\\1.3x=88000[/tex]
Dividing both sides by 1.3, we get:
[tex]x = 88000/1.3\\\\x = \$ 67692.307[/tex]
Rounding to 2 decimal places, we get:
[tex]x=\$67692.31[/tex]
Therefore, she paid $67692.31 for the house originally.
1. What is the Potential Energy of a 6 kg object that is 10 m above the
ground?
Answers
m = 6 kg, g = 9.8 m/s^2, h = 10m
6 * 9.8 * 10 = 588 J
PLEASEE HELPP WILL BRAINLIST find the output when x = 0
Answers
Answer:
output: 8
Step-by-step explanation:
since x=0 y would equal 8 which is the output.
expand and simply 3(2x+5) - 2(x-4)
Answers
Answer:
4x+7
Step-by-step explanation:
6x+15 - 2x-8
Combine like terms
6x-2x=4x
15-8 = 7
4x+7
Evaluate this expression.
112.212 - (- 3.25)
Answers
Answer:
115.462
Step-by-step explanation:
Answer: 115.462
Step-by-step explanation:
To start, the first thing we can observe is two negative signs, which we know turns into a positive sign.
Therefore, we now have:
112.212 + 3.25
115.462
Hope this helps!
There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete?
Answers
Answer:
Small=36
Large=13
Step-by-step explanation:
As given there are 49 dogs signed up
36 are small so the equation is
36+x=49
x=49-36
x=13
So 13 large dogs and 36 small dogs
Of the 100 oil paintings at the museum, 28 were portraits. What percentage of the oil paintings on display were portraits?
Answers
Answer:
28/100 * 100
the answer is 28 %
can someone please help, don't use this for points pls :/
(I'll give brainly)
Answers
Answer:
x = 3
AB = 18
Step-by-step explanation:
Based on the midsegment theorem:
[tex] MN = \frac{1}{2}(AB) [/tex]
MN = 9
AB = x + 15
Plug in the values and solve for x
[tex] 9 = \frac{1}{2}(x + 15) [/tex]
Multiply both sides by 2
[tex] 9 \times 2 = \frac{1}{2}(x + 15) \times 2 [/tex]
[tex] 18 = x + 15 [/tex]
Subtract 15 from each side
[tex] 18 - 15 = x + 15 - 15 [/tex]
[tex] 3 = x [/tex]
x = 3
AB = x + 15
Plug in the value of x
AB = 3 + 15
AB = 18
Attachment look at it
Answers
21/7=3
multiply both sides by 3
12J-21S
12 cups of juice to make 21 cups of soda
When Carla looked out at the school parking lot, she noticed that for every 2 vans, there were 5 trucks. If there
were 84 total vehicles in the parking lot, how many of them were trucks?
Answers
Answer:
60 trucks
Step-by-step explanation:
2x12=24
5x12=60
60+24=84 total vehicles
60 of them are trucks.
Which like is the Skew to RQ. (hint not MN)
Answers
1. Cuando compras un automóvil y lo sacas del concesionario, este comienza a
depreciar. Mira adquirió un automóvil por $18,645, y tiene un valor residual de
$1,950 y una vida útil de 7 años. ¿Cuál es el porcentaje de depreciación del costo de
auto por año? Indica si consideras que la oferta es conveniente para Mima y explica
tu respuesta
Identifica los datos y establece la relación entre estos.
b. Resuelve la relación, presentando el procedimiento y contesta la pregunta en
una oración completa.
Answers
El porcentaje de depreciación de la auto de Mira por año es del 12,79 %.
Cómo calcular el valor de depreciación del auto de Mira por año?Para calcular el valor de depreciación del auto de Mira debemos tener en cuenta la siguiente información:
Precio del auto nuevo: $18,645Precio residual de auto: $1,950Vida útil de auto: 7 años.De acuerdo a la información anterior, debemos calcular cual es la diferencia entre el precio nuevo y el precio residual.
$18,645 - $1,950 = $16,695Ahora, para saber el valor de depreciación por año dividimos este valor ($16,695) en 7.
$16,695 ÷ 7 = $2,385Por ultimo para saber el porcentaje de depreciación por año realizamos el siguiente procedimiento:
$18,645 ÷ 100 = $186.46$2,385 ÷ $186.46 = 12,79%Aprenda más de depreciación en: https://brainly.com/question/16933803
Help Me!! Please. Its important
Answers
Answer:
answer to 3 is
Step-by-step explanation:
1 hour = 0.7
2 hours = 1.4
3 hours = 2.1
4 hours = 2.8
5 hours = 3.5
6 hours = 4.2
7 hours = 4.9
8 hours= 5.6
9 hours= 6.3
10 hours= 7.0
11 hours = 7.7
12 hours =8.4
Find the values of x and y that satisfy the equation.
- 12x + yi = 60 - 13i
Answers
Y=-13
Hope this helps