Answer:
b = 0.938
Step-by-step explanation:
Value of the car can be modeled by the function,
V(t) = [tex]45000(b)^t[/tex]
Since, formula for the depreciation is modeled by,
V(t) = [tex]V_0(1-\frac{r}{100})^t[/tex]
Here, V(t) = Final value of the car after t years
V(0) = Initial value of the car
r = rate of depreciation
t = Time (in years)
By comparing both the functions which are similar,
[tex]1-\frac{r}{100}=b[/tex]
[tex]1-\frac{6.2}{100}=b[/tex]
b = 1 - 0.062
b = 0.938
Find the possible dimensions of the sports field given if the width is at least 50yards. need help asap
Answer: (If I'm right can I get marked brainiest?)
100
2
+
50
2
=
12500
;
√
12500
=
111.80
yards
Step-by-step explanation:
A football field is a rectangle, so a diagonal line creates 2 right triangles. The formula for the length of the sides of a right triangle is
a
2
+
b
2
=
c
2
For this problem, we know
a
and
b
, so we just have to find
c
.
100
2
+
50
2
=
c
2
=
12500
The length of the diagonal is
√
12500
, which is 111.80 yards.
The possible dimensions of the sports field are width 70 yards, length 7-3x yards.
What are dimensions?Dimensions in mathematics are the measure of the size or distance of an object or region or space in one direction.
Given that, the width is at least 50 yards and area is (490-210x)
We can conclude the shape of the sports field is rectangular.
We need to find the Greatest Common factor between 490 and 210, this way:
490 = 2 × 5 × 7 × 7
210 = 2 × 5 × 3 × 7
Then the greatest common factor is 2 × 5 × 7 = 70
This GCF is also equal to 70 yards (given in option), therefore it's one of the dimensions of the sports field.
Now, we calculate the other side of the sports, this way:
Second dimension of the sports field = (490-210x)/70
= 7-3x
Hence, The possible dimensions of the sports field are width 70 yards, length 7-3x yards.
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En una caja hay dos canicas rojas y cinco verdes, si se
extraen cuatro de ellas de la caja ¿en qué orden puede
aparecer?
Simplify -5(6 + 8x) anyone know It would be greatly appreciated?
☁️ Answer ☁️
annyeonghaseyo!
Your answer is:
-30 - 40x
Hope it helps.
Have a nice day noona/hyung!~￣▽￣❤️
Answer:
-30-40x
Step-by-step explanation:
its this because when you mutiply -5 x 6 that = -30 and -5 x 8x = -40 x
Pleaseee help me which one is it????
Answer:
it is definitely negative, i think it is -3/2
Step-by-step explanation:
is there a better picture of the graph?
this is the ss ihelppl
Answer:
oh yeah baby there u go
Step-by-step explanation:
AND DO IT LIKE THAT IN FUTURE WITH UR GARDE LIKE 10TH GRADE HELP!
HERES UR ANSWER
it was childs play lol
the sum of a number x and 4,
all divided by 3
Answer:
(x+4)÷3
Step-by-step explanation:
:))) brainlest plzz
Due 03/24/21 11:5 Exit 4-6: MathXL for School: Practice & Problem Solving Question Help X 4.6.PS-13 Design An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 10 more than three times the length of the bottom of the triangle. The last side is 1 more than the bottom of the triangle. plz hurry!!!
Answer:
[tex]x < - 9[/tex]
Step-by-step explanation:
We can only find the range of the values of x by using triangle inequality,
[tex]x + 1 + x > 3x + 10 \\ \\ 1 - 10 > 3x - 2x \\ \\ - 9 > x[/tex]
Multiply through both sides by -1, we get,
[tex]x < - 9[/tex]
This means x = -10, -11, ... (which is not realistic because a side of a triangle cannot be a negative number)
Jean deposits $730 in an account that pays 2.8% simple interest. He neither adds more money nor withdraws any mone from his account. What amount will be in Jean's account after 5 years?
Answer:
730 x 0.028 = (assuming per year) 20.44
20.44 x 5 = 102.2
102.2 + 730 = 832.2
Your final answer is 832.2
Step-by-step explanation:
Hope this helps!
The value of amount will be in Jean's account after 5 years is,
⇒ Amount = $832.2
What is mean by Multiplication?The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Jean deposits $730 in an account that pays 2.8% simple interest.
And, He neither adds more money nor withdraws any mone from his account.
Now, We know that;
Interest = PRT / 100
Where, P is principal amount,
R is rate
And, t is time.
Hence, Substitute the values we get;
Interest = 730 x 2.8 x 5 /100
= $102.2
Hence, The value of amount will be in Jean's account after 5 years is,
⇒ $730 + $102.2
⇒ $832.2
Therefore, The value of amount will be in Jean's account after 5 years is,
⇒ Amount = $832.2
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Engineers at an amusement park design a roller coaster that for every
four feet it runs, it rises 6 feet. For the roller coaster to rise 36 feet, how
many feet it must run?
Answer:
No sé la respuesta, pero traduce esto: D
Step-by-step explanation:
A 10-foot ladder touches the side of a building at a point 8 feet above the ground. At what height would a 22-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder? Round to the nearest tenth if necessary.
8.75 feet
Step by step:Given that a 12 foot ladder leans against a building seven feet above the ground.
By using trigonometry ratio, the angle between the ladder and the ground will be
SinØ = opposite/ hypothenus
SinØ = 7 / 12
SinØ = 0.58333
Ø = Sin^-1(0.58333)
Ø = 35.69 degree
At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?
Using the same trigonometric ratios
SinØ = opposite/hypothenus
Sin 35.69 = opposite/ 15
Cross multiply
Opposite = 15 × sin 35.69
Opposite = 8.75 feet
Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.
. One measure of variability is __________________, which is the mean distance between each data value and the mean of the data set. *
A.measure of center
B.mean
C.measure of variablity
D.mean absolute deviation (MAD)
pls help it’s due today
Answer:
[tex](x+3)^2+2[/tex] or [tex]x^2+6x+11[/tex], they're both equal.
Find the slope
Pleasee!!! emergency
Answer:
1 over 3
Step-by-step explanation:
Rise over run
it rises one
it runs 3
Prove that the given quadrilateral is a square. Show all the work
Answer:
If a quadrilateral has four congruent sides and four right angles, then it's a square (reverse of the square definition). If two consecutive sides of a rectangle are congruent, then it's a square (neither the reverse of the definition nor the converse of a property)
Step-by-step explanation:
Sorry, If I'm wrong!
pls help i don’t understand this
Suppose the two line segments in a coordinate plane one with a length of 120 units and other with a length of 240 units were both rotated 90 degrees about the origin and then translated 50 units up one of the resulting segments could have a length of...Units.
Answer:
[tex]Line\ 1 = 120\ units[/tex]
[tex]Line\ 2 = 240\ units[/tex]
Step-by-step explanation:
Given
[tex]Line\ 1 = 120\ units[/tex]
[tex]Line\ 2 = 240\ units[/tex]
Transformation
Rotation: 90 degrees
Translation: 50 units up
Required
The new length of one of the lines
Since no options were given, I will solve for the lengths of the two lines
From the question, the transformations are rotation and translation. These two types of translation do not alter the length or angle of a shape.
This implies that both lines will still retain their original lengths.
So. we can conclude that, after the transformation
[tex]Line\ 1 = 120\ units[/tex]
[tex]Line\ 2 = 240\ units[/tex]
Please help me, I don’t understand this that well
HELP DUE IN 2 HOURS!!!!!!!!!!!!!!!
Answer: A. yes, because the volume of the prism is less than 400 cubic inches
Answer:
D
Step-by-step explanation:
Wrapping paper goes around the box, rather than filling the content of the box. So SA is what we are looking for
2(13x5 + 13x8 + 5x8) = 418 > 400
So 400 does not suffice, you would need 18 more
I need to solve for x this is easy I don't have the time to do it though
Jerel runs 5 days each week. On each of 4 days, he runs 2.3 km. If Jerel runs a total of 14 km, how many kilometers does he run on the fifth day?
PLEASE HELP!
Amar received a 20% raise at work. He earned $20 per hour before the raise. What is the amount of his raise?
Answer:
4
Step-by-step explanation:
20% of $20 is $4
BRAINLIEST BRAINLIEST BRAINLIEST Find the value of f(-6)
Answer:
-6f
Step-by-step explanation:
Answer:
The absolute value of f(-6) is 6
Plz help again. I can't do math lol.
Answer:
Isn't 20x5=100
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{5}{4}\times 20}[/tex]
[tex]\large\text{New equation: }\mathsf{\dfrac{5}{4}\times\dfrac{20}{1}}\\\\\mathsf{5\times20=\bf 100}\\\\\mathsf{4\times1=\bf 4}\\\\\mathsf{\dfrac{100}{4}=\bf 25}\\\\\\\boxed{\boxed{\bf 25}}[/tex]
[tex]\mathsf{\dfrac{5\times20}{4}}\\\\\mathsf{5\times20=\bf 100}\\\\\mathsf{\dfrac{\bf 100}{4}=\bf \underline{25}}\\\\\boxed{\boxed{\bf 25}}[/tex]
[tex]\boxed{\large\text{Answer: \bf 25 = 25}}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\huge\text{Overall answer: \bf 25}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Angharad is buying a new 40-inch screen TV (remember that TV screens are measured along the diagonal )
a)If it is 20 inches tall, how wide is the screen ?
b)Her TV cabinet is 30 inches wide .will the TV fit inside it ?
Answer:
a) 34.64 inches
b) The TV will not fit inside the TV cabinet
Step-by-step explanation:
Angharad is buying a new 40-inch screen TV (remember that TV screens are measured along the diagonal )
a)If it is 20 inches tall, how wide is the screen ?
We solve using the formula:
Diagonal ² = Width² + Height²
Diagonal = 40 inches
Height = 20 inches
40² = Width² + 20²
Width² = 40² - 20²
Width = √40² - 20²
Width = √(1200)
Width = 34.641016151 inches
Approximately = 34.64 inches
b)Her TV cabinet is 30 inches wide .will the TV fit inside it ?
From the above calculation, the width of the TV = 34.64 inches
Hence the width of the cabinet has to be equal to or more than 34.64 inches
Hence, The TV will not fit inside the TV cabinet
Find the total surface area of the cylinder pictured. Use 3.14 for pi.
75.3 square meters
226.1 square meters
527.5 square meters
301.4 square meters
Answer:
527.5 sq. meters.
Step-by-step explanation:
I got it right on a test.
Answer:
527.5
Step-by-step explanation:
3) Valerie works at a local amusement park. She earns $9.80 per hour. She 20 points
also receives $10 for meals daily. Last Friday, Valerie earned $88.40.
Which equation can be used to determine how many hours Valerie
worked on Friday? *
a. 9.80h + 10 = 88.40
b. 88.40h + 9.80 = 10
c. 10h + 88.40 = 9.80
d. 10h + 9.80 = 88.40
===========================================================
Work Shown:
h = number of hours worked.9.80h = amount of money earned after working h number of hours (ignoring the meal bonus).9.80h+10 = total amount of money earned after adding on the meal bonus.9.80h+10 = 88.40 is the equation we use since the total 9.80h+10 is the same as the total she earned 88.40 dollars.--------------------
Extra info (optional section)
If you want to solve for h, then you could follow these steps.
9.80h+10 = 88.40
9.80h = 88.40-10 ... subtract 10 from both sides
9.80h = 78.40
h = 78.40/9.80 .... divide both sides by 9.80
h = 8
Valerie worked 8 hours on Friday.
As a check,
9.80h + 10 = 88.40
9.80*8 + 10 = 88.40
78.40 + 10 = 88.40
88.40 = 88.40
The answer is confirmed.
Find the truth set of this equation:
16=12 (a+b) + 5-a
Answer:
11/12
Hope this helps!!!!
What is the perimeter of quadrilateral ABCD?
O 15 units
O 17 units
O 18 units
o 20 units
Answer:
The perimeter of the quadrilateral ABCD is 20 units.
As, There are 4 angles in the quadrilateral.None of the 3 above options are the perimeter.
Amber the giant panda can eat at least 2.5 kilograms of
bamboo per hour and at most 3.5 kilograms of bamboo
per hour. Based on this information, what is a possible
amount of time, in hours, that it could take Amber to eat
35 kilograms of bamboo'?
Answer:
i think 6 hours so sry if i am wrong good luck
Step-by-step explanation:
17) PG = 7. Find PF.