Answer:
.38
Step-by-step explanation:
1/16 * 6 = 6/16
Divide the top and bottom by 2
3/8
.375
Round to 2 decimal places
.38
A new automobile is purchased for $20,000. If V = 2,000(0.8) x , gives the car's value after x years, about how long will it take for the car to be worth $820?
Answer:
It will take 4 years
Step-by-step explanation:
Here, given the exponential equation that approximates the cost of a car after a certain amount of time, we are tasked with calculating the amount of time it will take to be worth a certain amount.
The exponential equation that approximates the cost of the car is given as;
V = 2,000(0.8)^x
Now, our V = 820 but we want to calculate x which gives the number of years. Substituting this value of V, we get;
820 = 2000(0.8)^x
divide through by 2000
0.41 = 0.8^x
Take the log of both sides
log 0.41 = log 0.8^x
log 0.41 = xlog 0.8
x = log 0.41/log 0.8
x = 3.99 which is approximately 4 years
HELP ASAP PLEASE WILL MARK AS BRAINLIEST :)
The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse?
A.35 centimeters
B.65 centimeters
C.9.2 centimeters
D.42.5 centimeters
Answer:
B. 65 centimeters
Hope this helps :)
What is the volume of a hemisphere with a diameter of 47.5 m, rounded to the nearest tenth of a cubic meter?
Answer:
28043.3 [tex]m^{3}[/tex]
Step-by-step explanation:
Formula for volume of a hemisphere can be termed as:
[tex]V = \dfrac{2}{3} \pi r^{3}[/tex]
where [tex]r[/tex] is the radius of hemisphere
Please refer to the figure attached for the sample figure of a hemisphere.
We are given here, diameter of hemisphere = 47.5 m
Relation between diameter and radius is given as :
[tex]r = \dfrac{d}{2}[/tex]
where, [tex]r[/tex] is the radius and
[tex]d[/tex] is the diameter.
So, [tex]r = \dfrac{47.5}{2}\ m[/tex]
Volume is:
[tex]V = \dfrac{2}{3} \pi (\dfrac{47.5}{2})^3\\\Rightarrow \dfrac{2}{3} \times 3.14 \times (\dfrac{47.5}{2})^3\\\Rightarrow 28043.3\ m^3[/tex]
Hence, volume of given hemisphere is 28043.3 [tex]m^{3}[/tex].
Answer:
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 37.6 m, rounded to the of a cubic meter?
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{37.6}{2}=18.8
radius=
2
diameter
=
2
37.6
=18.8
meters
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (18.8)^3
3
4
π(18.8)
3
27833.1369876
27833.1369876
Use calculator
\text{Volume of Hemisphere HALF of Volume of Sphere:}
Volume of Hemisphere HALF of Volume of Sphere:
\frac{27833.1369876}{2}
2
27833.1369876
Divide volume by 2
13916.5684938
13916.5684938
\approx 13916.6\text{ m}^3
≈13916.6 m
3
Round to the nearest tenth
what is the answer to this
Answer:
5 over 4x
i used photomath so it should be right
Who were the tributes paid to?
Answer:
The Aztecs made conquered people pay tributes, and asked cities, states, and countries to pay.
Hope this helps :)
Find 5/12 of 24 a.20 b.10 c.12 d.15
Answer:B10
Step-by-step explanation: When they say the expression 5/12 of 24, they were asking you to divide 5 by 12 and then multiply the amount by 24.
If you found this answer helpful, give it a five-star rating and a thanks!
(Even a brainliest if you feel like it! ;D)
Answer:
10
Step-by-step explanation:
Melissa went to shopping and spent 2/3 of her money on a blouse, and she came home with $12. How much did she start out with?
Answer:
Melissa went to shopping and spent 2/3 of her money on a blouse, then she has 1/3 of her money left. She came home with $12.
=> The amount of money she started with: 12 x 3 =36$
Hope this helps!
:)
Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his addresses, the number of emails in his personal account decreases by 10% and the number of emails in his work account decreases to 722 each month. Question .How can Joe calculate the number of emails he will receive each month in his personal account after changing his address?
Answer:
702 emails
Step-by-step explanation:
This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.Given data
Average personal emails received monthly = [tex]780 emails[/tex]
Average work emails received monthly[tex]= 760 emails[/tex]
We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.
After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.
let us solve for 10% depreciation.
[tex]depreciation= \frac{10}{100} *780\\depreciation=0.1*780= 78 emails[/tex]
The new number of mails
[tex]= initial number of mail- depreciation\\ =780-78= 702 emails[/tex]
Joe will be receiving an average of 702 emails in his personal account monthly
Choose the correct simplification of x7/y9 2
Answer:
First choice :
[tex] \frac{ {x}^{14} }{ {y}^{18} } [/tex]
Hope this helps...
Can you help me with this scatter plot question please?
Answer:
There is a outlier and a negative relationship.
Step-by-step explanation:
negative shows that it goes from top to bottom and left to right (unless some numbers are switched around.) with this we also notice that there is a dot that is away from the group (the outlier)
Amy had to solve 26 problems. After 3.6 hours, she had 8 problems left to solve. If she solved the same number of problems each hour, how many more hours does she need to work in order to complete the remaining problems?
26-8 = 18
She answered 18 questions in 3.6 hours.
18 problems/ 3.6 hours = 5 problems per hour.
8 problems / 5 problems per hour = 1.6 hours more are needed.
HCF(320, x) = 20, LCM(320, x) = 2240, then x =
Answer:
140
Step-by-step explanation:
When working HCF and LCM problems, I like to think in terms of this little diagram:
(a [ b ) c]
It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.
__
Here, we're given ...
b = 20
ab = 320
abc = 2240
Then ...
c = abc/(ab) = 2240/320 = 7
x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320
x = 140
What is −48−−−−√ in simplest form?
Answer:
[tex] 4i \sqrt{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{-48} = [/tex]
[tex] = \sqrt{-1} \times \sqrt{16 \times 3} [/tex]
[tex] = i \times \sqrt{16} \times \sqrt{3} [/tex]
[tex] = i \times 4 \times \sqrt{3} [/tex]
[tex] = 4i \sqrt{3} [/tex]
can someone teach me how to do this?
Step-by-step explanation:
[tex]pythagorean \: theorem \\ {hypothenes}^{2} = { {x}^{2} + {y}^{2} } \\ {17}^{2} = {x}^{2} + {15}^{2} \\ 289 = {x}^{2} + 225 \\ {x}^{2} = 64 \\ x = 8cm[/tex]
A soccer player makes 85% of her penalty kicks during her career. If she scores 51
times on penalty kicks, how many penalty kicks did she attempt?
Answer: 60 total penalty kicks
Step-by-step explanation:
She makes 51 = 85% of her penalty kicks. If 51 = 85% of x, how much is 100% (total penalty kicks)?
51 = 0.85x
x = 51/0.85 = 60 total penalty kicks
how much interest is earned on $1470 at 4% for six months
Answer:
$29.4
Step-by-step explanation:
I assume the question is based on simple interest since you didn't specify
Using simple interest
Simple interest=P×R×T
Where,
P=principal=$1470
R=interest rate=4%=0.04
T=time=6 months=0.5 year
Simple interest=P×R×T
=1470×0.04×0.5
=29.4
Interest earned=$29.4
PLEASE HELP WILL MARK BRAINLIEST
Translate this phrase into an algebraic expression. 59 decreased by twice Jose's savings Use the variable to represent Jose's savings.
Answer:
Let [tex]x[/tex] = Jose's savings
[tex]59-2x[/tex]
I hope I helped you friend! If I am correct, please mark me brainiest. Thanks!
It rained One and one-sixteenth inches on Saturday and 0.4 inches on Sunday. Which is the most reasonable estimate for the amount of rain that fell over two days?
0.5 inches
1.5 inches
2 inches
3 inches
Answer:
0.5 Inches
Step-by-step explanation:
1/16=.0625 which is about .1 for estimating purposes
.1 on Saturday + .4 on Sunday = .5 inches of rain over the two days
Answer: 1.5 inches
Step-by-step explanation:
"The amount of rain that fell over two days" means the sum of the two amounts of rain that fell on Saturday and Sunday.
[tex]1\frac{1}{16} +0.4=1\frac{10}{160} + \frac{4}{10} = 1\frac{10}{160} + \frac{64}{160} = 1\frac{74}{160}[/tex]
This number is close to [tex]1\frac{80}{160}[/tex], which is 1.5 inches.
Find the area of the figure
A. 139.5 cm squared
B. 144.5 cm squared
C. 47.0 cm squared
D. 172.0 cm squared
Answer:
B 144.5
Step-by-step explanation:
split the shape into two, the rectangle and triangle
area of rectangle is B*H, do 13*9, which is 117, then area of a triangle, 1/2 BH, so (5*11)/2, which is 27.5 then add 27.5+117 to get 144.5
The radius of a semicircle is 4 millimeters. What is the semicircle's diameter?
Answer:
8 millimeters
Step-by-step explanation:
2 x radius = Diameter
2 x 4 = Diameter
8 = Diameter
Step-by-step explanation:
Step 1: Find the diameter
[tex]diameter = radius * 2[/tex]
[tex]diameter = 4 * 2[/tex]
[tex]diameter = 8[/tex]
Answer: [tex]diameter = 8[/tex]
f(1) = 4
f(2) = 25
f(n) = f(n - 2). S (n - 1)
f(3) =
Answer:
[tex]f(3) = f(3 - 2) \times f(3 - 1)[/tex]
[tex]f(3) = f(1) \times f(2)[/tex]
[tex]f(3) = 4 \times 25[/tex]
[tex]4 \times 25 = 100[/tex]
12 is the measure of the value of f(3).
Sequences and seriesBased on the given information, we have f(1) = 4 and f(2) = 25.
To determine the value of f(3), we will use the recursive formula
f(n) = f(n - 2) * S(n - 1), where:
S represents the successor function.
Determine f(3):
f(3) = f(3 - 2) * S(3 - 1)
f(3) = f(1) * S(2)
f(3) = 4 * 3
f(3) = 12
Therefore, the value of f(3) from the sequence is 12.
Learn more on sequence here: https://brainly.com/question/7882626
#SPJ2
6(n + 5) = 2(n + 5) + 4(n + 5)
Are these two Equivalent
Answer:
yes, they're equivalent
Answer:
Yes ,they are equivalent.
Step-by-step explanation:
2(n + 5) + 4(n + 5) ; here since n+5 is a common factor so we can factor it out :
2(n + 5) + 4(n + 5) = (n + 5)×(2 + 4)
= (n + 5)×(6)
= 6(n + 5)
HELP PLZZ Which of the following actions will always be independent events?
selecting two cards from a standard deck, one at a time
selecting two marbles from a bag, one at a time
flipping two coins, one at a time
picking two letter tiles from a hat, one at a time
Answer:
The third one i think. They are separate.
Step-by-step explanation:
Answer:
C: Flipping two coins, one at a time.
Explanation:
A, B, and D all include all different objects like Cards, Marbles, and Letter tiles. These are all items of quantity. Flipping two coins is independent because they are singular objects (that aren't inside of a bag or a hat).
-30=5(x+1) what does x represent
Answer:
x=-7
Step-by-step explanation:
-30=5(x+1)
-30=5x+5
-30-5=5x
-35=5x
5 5
Write an equation in slope-intercept form of the line with the given characteristics:
1. Slope: -3; passes through (0,5),
2. Passes through (0, -2) and (4,-1)
Answer:
1. y = -3x + 5
2. y = 1/4x - 2
Step-by-step explanation:
y=mx+b
1. 5 = -3(0) + b, so b = 5
y = -3x + 5
2. (-2-(-1))/(0-4) = -1/-4 = 1/4
-2 = 1/4(0) + b, so b = -2
y = 1/4x - 2
Answer: -3x+5
1/4x - 2
Step-by-step explanation:
PLEASE HELP
Find the surface area of the triangular prism.
Answer:
139
Step-by-step explanation:
First, find all the faces that you must find the areas of. In this case, you need to find the areas of two triangles and three rectangles.
In this triangular prism, the base is one triangle. If the area of the base is 7.75, we can assume that that holds true for both bases, and multiply 7.75 by 2 in order to find the area of both triangles.
Now find the area of each of the three rectangles by multiplying their individual heights and bases by each other. You should get 38, 47.5, and 38 as the areas of the rectangles.
Now add all the individual area's together. (They're bolded for clarity).
If d(x)=9x^2 and g(x)=5x+7 then d(x)-g(x) can be rewritten as
Answer:
[tex]9x^2-5x-7[/tex]
Step-by-step explanation:
[tex]d(x)=9x^2\\g(x)=5x+7\\d(x)-g(x)=\\(9x^2)-(5x+7)=\\9x^2-5x-7[/tex]
Hope this helps!
Answer:
[tex]9x^{2} -5x-7[/tex]
Step-by-step explanation:
Write the contrapositive statement of the following:
If it is not Thursday, then I did not have salad for lunch.
Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.
Which models can be used to solve the problem?This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
$149.60 that's what he will have left
María ha comprado un frasco de colonia que costaba 23 € y tres pares de medias. Le ha dado a la dependienta los 52 € que llevaba y ha dejado a deber 13 €. ¿Cuánto cuesta un par de medias en esa tienda?
Answer:
the price of the socks is 22€
Step-by-step explanation:
To find the value of a pair of socks you first write an algebraic expression for the situation of the problem.
Maria has 52€, she spent 23€ and also she spent in buying the three pairs of socks. You can chose x as the price of one pair of socks, then, Maria spent 3x. In the end Maria is owd 23€.
If you subtract 23€ and 3x to 52€ you obtain a negative value of -13€ . That is:
53 - 3x = -13 (1)
From the last equation you obtain x:
- 3x = - 13 - 53
-3x = - 66
x = (66/3) = 22
hence, the price of the socks is 22€