Find the missing side. Round to the nearest tenth.
Answer:
[tex] \tan \frac{opposite}{adjacent} [/tex]
21.4
Step-by-step explanation:
tan47° = x/20
1.072=x/20
20×1.072= x/20×20
x =20 ×1.072
x= 21.447
x=21.4
what two number multiply to make -36 as well as add to make 16
-12 x 3 = -36
-6 x 6 = 36
-8 x 2 = -16
-4 x 4 = -16
Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year. Which of the following functions best models this situation?
f(x)=23,540(1.05)xf of x is equal to 23 comma 540 times 1 point 0 5 to the x th power
f(x)=23,540(0.95)xf of x is equal to 23 comma 540 times 0 point 9 5 to the x th power
f(x)=−23,540(1.05)xf of x is equal to negative 23 comma 540 times 1 point 0 5 to the x th power
f(x)=−23,540(0.95)x
The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.
The depreciation rate =
A = P(1-r)ⁿ
Where, A = amount final
P = initial amount
r = rate and n = number of the years
Therefore,
The depreciation rate =
f(x) = 23540(1-0.05)ˣ
f(x) = 23540(0.95)ˣ
Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
Learn more about functions, click;
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Linda finished her chemistry homework in 1/5 hours. Then she completed her math assignment in 2/3 hours. What was the total amount of time Linda spent doing these two assignments
Answer: 52 minutes
Change denomniators by multiplying by 5 and 3
1/5 x 3 = 3/15
2/3 x 5 = 10/15
Add
3/15 + 10/15 = 13/15
Multiply by 4 to get minutes
13/15 x 4 = 52/60
Answer:
52 minutes
Step-by-step explanation:
Chemistry hw: 1/5 x 60 min＝12 min
Math assignment: 2/3 x 60 min ＝ 40 min
Total time: 12 min + 40 min ＝ 52 min
Kayla's family receives great service during their meal at Olive Garden and want to give their server a 20% tip. If the meal cost $73.28, how much tip do they leave the server?
Answer:
$14.656
Step-by-step explanation:
Given data
Cost of meal= $73.28
Tip= 20%
Let us find 20% of $73.28
=20/100*73.28
=0.2*73.28
=$14.656
Hence the tip is $14.656
1. x+1 when x=10
2. 5y-8 when y=6
3. 6t-9m when t=5 and m=3
4. 62/2 when x=10
5. 5h3-3j2+20 when h=4 and j=5
Answer:
1
X is equal to 10
10 plus 1 equals 11
2
y is equal to 6
30 minus 8
is equal to 22
3
m equals 3 and t equals 5
30 minus 27
is equal to 3
4 not written properly
5 not written properly
Which of the following expressions is equivalent to 4^-3?
Answer:
x(12y+4)
Step-by-step explanation:
find geometric probability
Answer: 67%
Step-by-step explanation:
Since we're not solving for area I would just divide this circle into 6 equal parts. 3 on both sides of the diameter. The orange parts take up about 120/180 on one sides of the circle. So 2/3 of half the circle are covered in orange which means 2/6 of the whole circle is covered in orange. Which leaves us with 4/6 blank or white area. 4/6 as a decimal is 0.6666667 or 67%
Answer:
66.67 % (Rounded to the nearest hundreth)
66.666..% or 66 2/3 %
Step-by-step explanation:
The area of the whole circle with radius 4 is 50.27
The white area is 4/6 = 2/3 of the total area = 33.51333333
The geometric probability is the favorable area divided by the total area
33. 513333 / 50.27 = 0.6666666 = 66.666666%
Can someone please answer this for me.
Answer:
[tex]\huge\boxed{\sf Slope = \frac{9}{7}}[/tex]
Step-by-step explanation:
The top and bottom points of the line are
(3,0) and (10,9)
[tex](x_1,y_1) = (3,0)\\\\(x_2,y_2) = (10,9)[/tex]
So,
[tex]\sf Slope = \frac{y_2-y_1}{x_2-x_1}\\\\Slope = \frac{9-0}{10-3} \\\\\boxed{\sf Slope = \frac{9}{7} }\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Complete the following table for f(x) = -2.4"
-2
-1
0
1
2
-2
[
Choose
- 1
Choose)
0
Choose!
1
Choose
2
Choose
Answer:
3
Step-by-step explanation:
2020-2021-T-Math-Gr05-T10
Question: 1-5
Lia cut a long piece of string into 2 pieces. one piece of the string is 24 inches long, and the other place of the string is 12 inches long How many feet long was the piece of string before a cut it?
Answer:
36 inches.
Step-by-step explanation:
If one piece of string is 12 inches
and the second piece = 24 inches
Then the total is 12 + 24 = 36 inches.
Part 1:
Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sales price (original price minus discount) of those televisions, y, as a function of the regular price of the tv, x.
Part 2:
If the regular price of a 60" television is $1000, use the equation you came up with in part 1 to find the sales price of the item.
Answer:
Part 1 : y = 0.75x
Part 2 : $750
Step-by-step explanation:
Part 1
Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sales price (original price minus discount) of those televisions, y, as a function of the regular price of the tv, x.
Let y be the sales price of the tv and x its regular price. Since its sales price = regular price - discount, and our discount is 25% of the sales price, that is 0.25x, we have
sales price = regular price - discount
y = x - 0.25x
y = 0.75x
Part 2: If the regular price of a 60" television is $1000, use the equation you came up with in part 1 to find the sales price of the item
Since the sales price, y = 0.75x,and x = regular price = $1000,
substituting x into y, we have
y = 0.75x
y = 0.75($1000)
y = $750
HELP WHATS THE CONSTANT OF PROPORTIONALITY
sodas: 2 3 4 5
cost: $2.50 $3.75 $5.00 $6.25
Answer:
its 1.25
Step-by-step explanation:
A jug of juice has 6 cups of pineapple juice and 5 cups of orange juice. Write the ratio of the number of cups of pineapple juice to total number of cups of juice in three different ways.
Answer:
number of cups of pineapple to total number of cups...
6:11 or 6/11 or 6 to 11
Step-by-step explanation:
Find the value of x.
Answer:
6
Step-by-step explanation:
The two small triangles are congruent by SAS.
By CPCTC, x = 6.
Answer: 6
Can someone help me slove this plss. :-)
Answer:
Step-by-step explanation:
.
Help me out , plzzzzz
Answer:0.14%
Step-by-step explanation:
how many minutes will it take for a plane altitude to change by -5,400 meters
Answer:
I believe it will be 5 minutes for it to reach that.
1. How long does it take running at a rate of 12m/s over a distance of 360m?
Step-by-step explanation:
T=D/S
D=360m
S=12m/s
360m÷12m/s
Time=30s
what is 7.266435 986 159 17 to the nearest integer?
Answer:
7
Step-by-step explanation:
Rounding rules. Anything below 5 will round down
A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected.
Which function most accurately represents this data, where n is the number of bacteria and t is the time elapsed, in hours?
n = 2t
n = 2^t
n = t^2
n =
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.
Answer:
78 dollars
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).
Given:
c(n) = 50 + 4n
Where,
c = monthly cost of visiting a gym
n = number of visits
Find the value of c(7)
That is, when n = 7
c(n) = 50 + 4n
c(7) = 50 + 4(7)
= 50 + 28
= 78
c(7) = 78 dollars
The mapping diagram shows a relation. A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2). What is the domain of the relation? {x| x = –4 , 0, 1, 2}. {x| x = –7, –6, 2, 11, 3}. {y| y = –4, 0, 1, 2}. {y| y = –7, –6, 2, 11, 3}.
Answer:
b
Step-by-step explanation:
The domain is a set of input values so {x| x = –7, –6, 2, 11, 3} will be the domain of the relation therefore option (B) will be correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
The domain is the set of all input values where the function is defined.
Since in the given relation ;
All input values have an output so all input values will be the domain of the given relation.
Hence "{x| x = –7, –6, 2, 11, 3} will be the domain of the relation".
For more details about the range and domain of the function,
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During a sale, a store offered a 40% discount on a bed that originally sold for $840. After the sale, the discounted price of the bed was marked up by 40%. What was the price of the bed after the markup? Round to the nearest cent.
Answer:
$705.60
Explanation:
Discounted price:
$840 × (100% - 40%)
= $840 × 60%
= $840 ÷ 100 × 60
= $504
Markup:
$504 × (100% + 40%)
= $504 × 140%
= $504 ÷ 100 × 140
= $705.60
i hope this helps! :D
Find the value of 3p2 – 4p -5, if p= -3
Answer:
-11
Step-by-step explanation:
3 x (-3) x 2 - 4 x (-3) - 5
= -18 + 12 - 5
= -11
EMERGENCY HELP PLS: The state decided that the angle a wheelchair ramp
makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height = ? ft.
Distance along the ground ? ft.
Answer:
1.9 feets (nearest tenth) ;
24.9 feets
Step-by-step explanation:
Given that :
Angle, θ = 4.3°
Length of ramp = 25
Maximum Height, h ;
sinθ = opposite / hypotenus
Sin 4.3 = h / 25
0.0749787 * 25 = h
1.874 feet = h
1.9 feets (nearest tenth)
Distance along the ground the ramp could cover :
Cos θ = Adjacent / hypotenus
Cos 4.3 = x / 25
0.9971851 = x / 25
0.9971851 * 25 = x
x = 24.929
x = 24.9 (nearest tenth)
Trapezoid
Area= 1/2 (6+14)8
A=80
Now i know what the equals but i don’t know how to find the m2
Please help :)
bb
Step-by-step explanation:
honda is the lowest price on the market and the price of the following lines are not anybody else so expect to have a good time and be able to make a few things that are good
Barbara wants to buy some glittery heart-shaped beads to make friendship bracelets. The beads she wants come in a small pack with 90 beads or a large pack with 300 beads. The small pack costs $3.60, while the large pack costs $9.00. Which pack is the better value? small pack ll large pack
Answer:
The large pack is a better deal!
Step-by-step explanation:
so first we need to figure out how much the individual beads cost.
Small pack: $ 3.60÷90 = 0.04 cents per bead
Large pack: $9.00 ÷ 300 = 0.03 cents per bead
Hope this helps!!
Have a great day!!
Help really important
Answer: Its c
Step-by-step explanation:
Plz give brainliest
which equation is equivalent to 63-3(2-10x)=150
Answer:
D: 57 + 30x = 150
Step-by-step explanation:
63-3(2-10x)=150
63 - 6 + 30x = 150
57 + 30x = 150