Answer:
84
Step-by-step explanation:
square: 6mm * 6mm = 36mm
triangle 1: (8mm * 6mm) 0.5 = 24mm
triangle 2: (8mm * 6mm) 0.5 = 24mm
add all of it up to get the entire area
36 + 24 + 24 = 84
The volume of a sphere can be determined by the formula V = 4/3 πr^3, where r is the radius. What is the volume of a sphere with radius 3/2x^3y^–2 in terms of x and y?
Answer:
[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{4}{3}\pi r^3[/tex]
Required
Find V when
[tex]r = \frac{3}{2}x^3y^{-2[/tex]
Substitute [tex]\frac{3}{2}x^3y^{-2[/tex] for r in [tex]V = \frac{4}{3}\pi r^3[/tex]
[tex]V = \frac{4}{3}\pi * (\frac{3}{2}x^3y^{-2})^3[/tex]
Open bracket
[tex]V = \frac{4}{3}\pi * \frac{3}{2}^3 * x^{3*3}y^{-2*3}[/tex]
[tex]V = \frac{4}{3}\pi * \frac{27}{8} * x^{9}y^{-6}[/tex]
Simplify the fractions
[tex]V = \pi * \frac{9}{2} * x^{9}y^{-6}[/tex]
Let
[tex]\pi = \frac{22}{7}[/tex]
So:
[tex]V = \frac{22}{7} * \frac{9}{2} * x^{9}y^{-6}[/tex]
[tex]V = \frac{11}{7} * \frac{9}{1} * x^{9}y^{-6}[/tex]
[tex]V = \frac{99}{7} * x^{9}y^{-6}[/tex]
[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]
Please help me solve the algebraic expressions
[tex] \frac{ 36+{w}^{2}x}{4w} [/tex]
[tex] \frac{ {d}^{3} + 6 }{3 {d}^{2} } [/tex]
[tex] \frac{2 {m}^{3} - 27}{12m} [/tex]
[tex] \frac{ {x}^{5} - 2 }{w {x}^{2} } [/tex]
Estimate 15.72 - 5.259 by rounding each number to the nearest tenth
Answer:
10.4
Step-by-step explanation:
15.72 rounds to 15.7 and 5.259 rounds to 5.3
Answer:
10.5
Step-by-step explanation:
15.72 - 5.259 =
10.461
10.461 = 10.5
Ellie invested $13,000 in an account paying an interest rate of 8.25% compounded
continuously. Daniel invested $13,000 in an account paying an interest rate of 8.5%
compounded daily. After 18 years, how much more money would Daniel have in his
account than Ellie, to the nearest dollar?
Answer:
Rate 1: 8
4
1
%=8+1/4=
8.25
%
→
0.0825
8.25%→0.0825
Rate 2:
8
1
2
%
=
8
+
1
/
2
=
Rate 2: 8
2
1
%=8+1/2=
8.5
%
→
0.085
8.5%→0.085
Calculate Final Amount for Ellie
Calculate Final Amount for Ellie
‾
Calculate Final Amount for Ellie
Compounded Continuously:
Compounded Continuously:
A
=
P
e
r
t
A=Pe
rt
P
=
13000
r
=
0.0825
t
=
18
P=13000r=0.0825t=18
Given values
A
=
13000
e
0.0825
(
18
)
A=13000e
0.0825(18)
Plug in
A
=
13000
e
1.485
A=13000e
1.485
Multiply
A
=
57394.5504
A=57394.5504
Use calculator (with e button)
Calculate Final Amount for Daniel
Calculate Final Amount for Daniel
‾
Calculate Final Amount for Daniel
Compounded Daily:
Compounded Daily:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
13000
r
=
0.085
t
=
18
n
=
365
P=13000r=0.085t=18n=365
Given values
A
=
13000
(
1
+
0.085
365
)
365
(
18
)
A=13000(1+
365
0.085
)
365(18)
Plug in values
A
=
13000
(
1.0002329
)
6570
A=13000(1.0002329)
6570
Simplify
A
=
60025.6058
A=60025.6058
Use calculator
How much more money Daniel has:
How much more money Daniel has:
60025.6058
Rate 1: 8
4
1
%=8+1/4=
8.25
%
→
0.0825
8.25%→0.0825
Rate 2:
8
1
2
%
=
8
+
1
/
2
=
Rate 2: 8
2
1
%=8+1/2=
8.5
%
→
0.085
8.5%→0.085
Calculate Final Amount for Ellie
Calculate Final Amount for Ellie
‾
Calculate Final Amount for Ellie
Compounded Continuously:
Compounded Continuously:
A
=
P
e
r
t
A=Pe
rt
P
=
13000
r
=
0.0825
t
=
18
P=13000r=0.0825t=18
Given values
A
=
13000
e
0.0825
(
18
)
A=13000e
0.0825(18)
Plug in
A
=
13000
e
1.485
A=13000e
1.485
Multiply
A
=
57394.5504
A=57394.5504
Use calculator (with e button)
Calculate Final Amount for Daniel
Calculate Final Amount for Daniel
‾
Calculate Final Amount for Daniel
Compounded Daily:
Compounded Daily:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
13000
r
=
0.085
t
=
18
n
=
365
P=13000r=0.085t=18n=365
Given values
A
=
13000
(
1
+
0.085
365
)
365
(
18
)
A=13000(1+
365
0.085
)
365(18)
Plug in values
A
=
13000
(
1.0002329
)
6570
A=13000(1.0002329)
6570
Simplify
A
=
60025.6058
A=60025.6058
Use calculator
How much more money Daniel has:
How much more money Daniel has:
60025.6058
−
57394.5504
60025.6058−57394.5504
2631.0554
2631.0554
$
2631
$2631
Round to the nearest dollar−
57394.5504
60025.6058−57394.5504
2631.0554
2631.0554
$
2631
$2631
Round to the nearest dollar
Step-by-step explanation:
WILL GIVE BRAINLY!!!
Find the value of x. Round to the
nearest tenth.
9
4
O
X= | ?
Answer:
66.03 so 70
Step-by-step explanation:
since hypotunees has no value it cancels.
aso it leaves with an adjacent and oppisite
using trig function you will get
tan(x)=(9/4)
inverse tan to get x on its own
(x)=tan^-1(9/4)
put that on the calculater and you will get the angle
therefore
(x)=66.04 round it the nearest ten which is
70
Home help plz really appreciate it!!!!!
Answer:
angle AGE=113.5
Step-by-step explanation:
3x-28=66-x
4x=94
x=23.5
23.5+90=113.5
Answer: 113.5° is 100% the correct answer.
Step-by-step explanation:
i will mark you brainiest if you can answer this
Answer:
D
Step-by-step explanation:
greg spent $4 on $5 packs of sport cards. How much did greg spend on each pack?
greg spent $20 think
Step-by-step explanation:
i think you times
Answer:
20
Step-by-step explanation:
4x5
my old one got deleted by the way :/
What is the value of x if 5^ x+2 =5^ 9 ? O x = - 11 O x = - 7 x = 7 x = 11 O O
Answer:
Step-by-step explanation:
5ˣ⁺² = 5⁹
log₅(5ˣ⁺²) = log₅(5⁹)
x+2 = 9
x = 7
-14.3 = -1.4 - 3d what is d
Help please
Brainiest answer to whoever is first
Dan is driving from his hometown in California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y = 55h + 110
Dan leaves at 1:10 and is traveling at 55 miles per hour.
Dan is 110 miles from home at noon and is traveling at 55 miles per hour.
Dan is 55 miles from home at noon and is traveling at 110 miles per hour.
Dan leaves at noon and is traveling at 110 miles per hour.
Answer:
Dan is 110 miles from home at noon and is traveling at 55 miles per hour
Step-by-step explanation:
Mathematically, we have the general equation of a linear model as;
y = mx + b
m represents the slope of the model
b is the y-intercept of the model
Mathematically, what we have here is that there is a plot of distance against time
Distance is on the y-axis
time is on the x-axis
Now, the coefficient of the x-axis value is the slope
From what we have, the slope value is 55 miles per hour
Now, we have the y-intercept at 110
So, what this mean is that the distance from home is 110
So the correct answer here is that;
Dan is traveling at 55 miles per hour and he is 110 miles away from home
In ΔCDE, the measure of ∠E=90°, the measure of ∠C=75°, and CD = 5.8 feet. Find the length of EC to the nearest tenth of a foot.
Answer:
1.5
Step-by-step explanation:
plz help me my teacher is gonna come in 5 minutes and if she finds me on this imma get suspended
Answer:
42
Step-by-step explanation:
42 i think
maybe 5
.....................
Please Help Again lol
Answer:
1 and 3 I think
Step-by-step explanation:
Walid is four times as old as Sami . Five years ago,
Walid was 7 times old as Sami . How old is Walid and how old is Sami ?
Answer:
he is11 years old cause when he was 1 walked was 5
Please I need help ASAP
you just answer ths but here this might help
plz mark as brainliest
Teresa has some photos on her computer on Monday. On Tuesday, she downloads 24 new photos. Then she delets 9 photos. She ends up with 33 photos. Explain how the equation p+424-9=33 represents the situaton. Then solve the equation for the variable p and interpret the solution.
Answer:
Teresa had 18 photos on her phone on monday
Step-by-step explanation:
Monday: 18
Tuesday: 42
42 - 9 = 33
Okay so, I have a crush and she likes me back. What should I do?
Answer:
Ask her out and make her the happiest girl in the world.
will give brainliest for correct answer ALGEBRA 2
Answer:
Vertical Translation Down 5
Step-by-step explanation:
-5 means its moving down
Hope this helps :)
DESCRIBE what you would do to solve for the missing value in this problem. DO NOT SOLVE IT… just tell HOW you WOULD solve it.
?⋅35=2,380
Answer: divide by 35
Answer:
68
Step-by-step explanation:
Divide 2,380 by 35
It would by 68.
68 x 35 = 2,380
Solve each equation and match the solution.
e +8= 31
Answer:e=23
Step-by-step explanation:
e+8=31
8-31=23
A car travels 420 miles in 7 hours. If the rate remains the same, how far does it travel in 11 hours?
A. 660 miles
B. 480 miles
C. 270 miles
D. 60 miles
Answer:
A. 660 miles
Step-by-step explanation:
420 ÷ 7 = 60 60 x 4 = 240 240 + 420 = 660
PLEASE HELPPPP FIND THE SURFACE AREA OF THE PYRAMID.
Answer:
4ft
Step-by-step explanation:
Plz help fast will mark the brainiest!!!
Add the mixed number fractions. Simplify, if possible.
3 1/4 + 3 5/8 =
Answer:
6 7/8
Step-by-step explanation:
What is the area of each shaded region? Use 3.14 for pie. PLS help this is due tonight
Answer:
Step-by-step explanation:
do this is 2 parts
total = square + 1/2 circle
area of a square is side * side or ... b/c the sides of a square are the same 2* side
area of a circle is Pi* r^2
total area = 12*12 + 1/2 * pi * 6^2
ta = 144 + 56.52
ta = 200.52
ta da.. :P total area is 200.52 [tex]ft^{2}[/tex]
4x-9=2x+5..solve for X..Help?
Answer:
x = 7
Step-by-step explanation:
4x - 9 = 2x +5 add 9 from both sides
4x = 2x +14 subtract 2x from both sides
2x = 14. divide both sides by 2
x = 7
Answer:
x = 7
Step-by-step explanation:
Rewrite equation
4x - 9 = 2x + 5
Add 9 on both sides
4x -9 +9 = 2x + 5 + 9
Simplify
4x = 2x + 14
Subtract 2x on both sides
4x - 2x = 2x + 14 - 2x
2x = 14
Finally divide both sides by 2
2x/2 = 14/2
x = 7
Hope this helps :)
PLEASE HELP IM TERRIBLE AT PERCENTAGES!!!
Answer:
sory bro i saw this question but i dont know answer
Hey can you help me I'll mark brainlist (if correct)
Answer: D
Step-by-step explanation:
7×6^2 −3x
7×36−3x
which is 252-3x
Answer:
C: 246
Step-by-step explanation:
7 (2 + 4)² - 3 (2) = 7 (6²) - 6 = 7 (36) - 6 = 252 - 6 = 246