Answer:
are you asking to convert to fractions and decimals?
1. .05 1/20
2..17 or 17/100
3. 7/2
What should replace a, b, and x in B(t) = abx for the amount of money in the account, B(t), after t months with an initial deposit of $100.
Answer:
[tex]B(t) =100 * (1 + r)^t[/tex]
Step-by-step explanation:
Given
[tex]B(t) = ab^x[/tex]
[tex]x = t[/tex] ---- months
[tex]a = 100[/tex] --- Initial deposit
Required
Replace a, b and x
Substitute: [tex]a = 100[/tex] in [tex]B(t) = ab^x[/tex]
[tex]B(t) = 100 * b^x[/tex]
Substitute:[tex]x = t[/tex]
[tex]B(t) = 100 * b^t[/tex]
From the question, the rate, r is not given.
And
[tex]b = 1 + r[/tex]
So, the expression becomes:
[tex]B(t) =100 * (1 + r)^t[/tex]
A cone has twice the base diameter and three-fourths the height of a cylinder. Can you tell what the relationship between the volume of the cone and the volume of the cylinder is? Explain your reasoning.
Answer:
Equal volumes
Step-by-step explanation:
Given
[tex]h \to[/tex] height of cone
[tex]d \to[/tex] diameter of cone
[tex]H \to[/tex] height of cylinder
[tex]D \to[/tex] diameter of cylinder
Such that:
[tex]d = 2D[/tex]
[tex]h =\frac{3}{4}H[/tex]
Required
The relationship between the volumes
The volume of a cylinder is:
[tex]V_1 = \pi R^2H[/tex]
Where
[tex]R = 0.5D[/tex]
So:
[tex]V_1 = \pi (0.5D)^2H[/tex]
[tex]V_1 = \pi *0.25*D^2H[/tex]
[tex]V_1 = 0.25\pi D^2H[/tex]
The volume of the cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Where
[tex]r =0.5d[/tex]
[tex]r = 0.5 * 2D[/tex]
[tex]r = D[/tex]
and
[tex]h =\frac{3}{4}H[/tex]
So, we have:
[tex]V_2 = \frac{1}{3}\pi * D^2 * \frac{3}{4}H[/tex]
[tex]V_2 = \frac{1}{4}\pi * D^2H[/tex]
[tex]V_2 = 0.25\pi * D^2H[/tex]
[tex]V_2 = 0.25\pi D^2H[/tex]
So, we have:
[tex]V_1 = 0.25\pi D^2H[/tex]
[tex]V_2 = 0.25\pi * D^2H[/tex]
[tex]V_1 = V_2[/tex]
Answer: : When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.
Step-by-step explanation:
A rappelling rope used for outdoor programs, rescue and industrial work, can safely support a weight "W" (in pounds) provided, where "d" is the rope's diameter (in inches). Determine the diameter of rope that would be needed to support a weight of at least 5,500 pounds.
Answer:
D = ( d * 5500 ) / W
Step-by-step explanation:
Diameter of rope " d " supports "w" weight
i.e. d = W
d ( inches ) = W ( pounds )
? ( inches ) = 5500 pounds
The Unknown diameter D ( ? ) = d * 5500 / W
can someone help me 3 x 2⁴
Answer:
3 × 2^4
2^4 = 16
3 × 16
= 48
FINAL ANSWER IS : 48
Answer:
48
Step-by-step explanation:
[tex]3 \times {2}^{4} [/tex]
[tex]3 \times (2 \times 2 \times 2 \times 2)[/tex]
[tex]3 \times 16[/tex]
[tex]48[/tex]
Hope it is helpful.....Find the volume of the pyramid. Someone help plz
Answer:
2880
Step-by-step explanation:
10 x 8 x 6 x 12 = 5760/2 = 2880
jordan has 10 ties, 3 suits, 5 belts, 8 shirts, and 4 pairs of shoes that he chooses from daily. How many different outfits can he put together?
Answer:
we can get 2 full outfits
HOPE IT HELPEDY'ALL PLEASE HELP ME I REALLY NEED HELP!!!! ALL LINKS WILL BE DELETED/REPORTED.
What are the resulting coordinates of triangle J′K′L after reflecting triangle JKL across the x-axis?
Question options:
A)
J′ (–3, 1), K′ (4, 2), L′ (3, 4)
B)
J′ (1, –3), K′ (2, –4), L′ (–3, 4)
C)
J′ (–1, –3), K′ (–2, 4), L′ (–3, –4)
D)
J′ (3, –1), K′ (–4, 2), L′ (–3, 4)
Answer:
I think the answer is C but I'm not 100% sure
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Angle 4 is ∠A
Step-by-step explanation:
Cos(A) = adjacent / hypotenuse
=> Angle 1: Cos(1) = 40 / 41, or 0.98 (so this is not ∠A)
=> Angle 2: Cos(2) = 9 / 41 or 0.22 (This isn't ∠A either)
=> Angel 3: Cos(3) = 24 / 25 or 0.96 (Not ∠A)
=> Angel 4: Cos(4) = 7 / 25 or 0.28 (This is Angle A, since Cos(A) = 0.28)
Therefore; Angle 4 is ∠A
Hope this helps!
Answer:
Can't type the Full solution
I'll solve for the triangle with angles 1 and 2
You can go for the rest.
CosA = 0.28
Taking the cos-¹(0.28) to determine its Magnitude
A=73.74°
Now
We can use sine Rule to get the values of each of the other angles in the triangle
For the first triangle
Applying sine rule
What basically happens in the rule is... Each side divided by the angle opposite it.
Look below
The angle opposite 40cm is angle '2' and the angle opposite 41cm is 90°
We have this sine rule when all three sides are given with ONE ANGLE(90° is the given angle in this case)
So
Each side over the angle opposite it
We go!!
Let's call angle "2" an alphabet. Say Q
41/sin90 = 40/SinQ
SinQ = 40sin90/41
Recall sin90=1
SinQ = 40/41
Q= Sin-¹(40/41)
Q= 77.32°
so angle 2 is 77.32°
Now apply this to get others
Angle '1' should be 12.68°
Angle "3" should be 16.26°
Angle "4" should be 73.74°
Therefore
conclusion
Angle "4" is same as A. That's the angle we looking for
Option 4 IS CORRECT!!
what is 23/56 + 34/100
Answer:
0.750714286
Step-by-step explanation:
what the answer for this equation 2+(3-2x2)x1
Answer:
I got 1 (but i was using math.way so im so sorry if its wrong)
Step-by-step explanation:
also i love your pf.p
Answer:
2+(3-2*2)*1
2+(3-4)*1
2+(-1)*1
2-1
1 answer
A hardware store has one basket with 40 pairs of slip-joint pliers. 5 of the 40 pairs are 6-inch slip-joint pliers. A second basket contains 20 rubber mallets. 3 of the 20 rubber mallets are small rubber mallets. What is the probability of picking a pair of 6-inch slip-joint pliers and not drawing a small rubber mallet?
Answer:
[tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified
Step-by-step explanation:
In order to find the probability of this sequence of events happening we first need to find the probability of each event happening seperately and then multiply them together.
If there are 40 slip-joint pliers and only 5 are 6-inch then the probability of picking a 6-inch plier is 5/40. If there are a total of 20 rubber malets and only 3 are small then the probability of picking a non-small rubber mallet would be 17/20... Now we simply multiply these two probabilities together...
[tex]\frac{5 *17}{40 * 20}[/tex] = [tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified
25 minutes before 9 at night is written as _:__p.m.
A pyramid has a(n)
for a base and a number of
that all meet at the
same
A. edge; faces; plane
B. altitude; edges; point
C. polygon; faces; vertex
D. polygon; points; point
Answer:
I believe C
Step-by-step explanation:
hope this helps
A surveyor wants to conduct a poll to see how many people purchase records at the mall.
Which polling method is likely to be biased?
Polling 30 random people in the mall each day for 5 days.
Randomly polling 500 people in the mall on one day.
Polling every third person in the food court.
Polling every other person that exits the music and entertainment store.
Answer:
[tex]\sqrt{7} 2 =x^{8}[/tex]
Step-by-step explanation:
Answer:
the last one since the people in the music and entertainment store are there to only buy records
1. The Community Wading Pool is in the shape of a circle. If the radius of the pool is 28 feet, what is the distance around the pool? I need help
Answer:
28 feet
Step-by-step explanation:
thank you the same as the guy above me
Circle has a circumference of 38 cm
What is the length of the radius,
6 cm
18 om
36 cm
72 cm
[tex]circumference \: of \: circle \: = 2 \: \pi \: r[/tex]
38 = 2πr
r = 38/2π
r = 38÷6.28
r = 6 cm
math question please help
Answer:
function is h(t) = -16t² + 22t + 6
max height is 13.5 feet
Step-by-step explanation:
Pls solve I will give the barinliest answer plssss
well we know the line will be equal to 180 degrees so we will have an equation like this
x+100+3x=120
we subtract 100 from 180 to get 80.
180-100=80
however x cannot be 80 bc we still have the 3x.
when you do the math, you will see that 20 times 3 is 60.
20×3=60
going even further we see that 60 plus 20 is 80
60+20=80
so to check our work, lets solve this equation
20+100+3×20=180
20+100=120
3×20=60
120+60=180
so your answer is x=20
Andre received and spent money in the following ways last month. For each example, write a positive or negative number to represent the change in money from his perspective.
His uncle gave him $25 as a present.
He earned $18 dollars tutoring.
He spent $10 on a book.
Answer:
+25;+18;-10
Step-by-step explanation:
Ok so let's break down the scenario step by step:
His uncle gave him $25 so that means it's positive so +25 Now he earned $18 so that means it is also positive so +18And now he spent $10 which means it is negative so - 10(And of you want to find out the amount left with him,
(25+18)-10
=43-10
=$33)
Hope this helps :)
Find the value of x
Answer:
x = 12
Step-by-step explanation:
Both angles have the same measurement, therefor you can set your formula up as
9x + 1 = 11x-23
9x + 1 + 23 = 11x
24 = 2x
24/2 = x
12 = x
This is part two go cheap the part one to understand
Answer:
8
24
3
yes
Step-by-step explanation:
the original area of the figure is 4 · 2 which equals 8.
Since the dilation that is needing to be done is by a scale factor of 3 then all we need to do is multiply the original area by 3, which gives us the new area 24.
So because the only transformation was a dilation that didn't significantly change the figure then we can say that both figures are similar.
Name the integer that is 2 more than the opposite of -4.
Answer:
6
Step-by-step explanation:
the opposite of -4 is 4 and then add 2
Answer:
Yeah 6
Step-by-step explanation:
Exact same steps as the person above :)
Good luck!!
Equation 1: 2x - 3y = 6
2
y x6
What is the best description for the lines?
A)
parallel
B)
perpendicular
C)
the same line
D)
intersecting but not perpendicular
Answer:
I think the answer is intersecting but not perpendicular
3. A researcher finds that the correlation between High School GPA and College GPA is 0.40. What
percentage of the variation in College GPA can be explained by the relationship with High School
GPA?
a. 0%
b. 16%
c. 20%
d. 40%
e. 60%
what is the answer to 4x-3=37
Answer:
4x - 3 = 37
+3 +3
4x = 40
Divide by 4 on both sides:
X = 10
Step-by-step explanation:
x=10
.......................
Which ratio gives the cosine of B ?
A
B
C
D
Help would be nice! Question is can you help me?
All you have to do is find the surface area, free brainliest if you get it right simple as that
No links or stuff like that
Otherwise I will eat your family :)
Answer:
84
Step-by-step explanation:
you just got to do 12 * 14 , then divide by 2. so the answer is 84
for the entire thing, the area would be 480
Two angles in a triangle measure 18° and 160°. What is the measure of the third angle?
Answer:
2
Step-by-step explanation:
add 18 to 160 then subtract the answer from 180.
Which of the following expressions represent “subtract 17 from x”
A. 17-x
B. x-17
C. -17x
D. -x-17
Answer:
B. x - 17
Step-by-step explanation:
It says to subtract 17 from x.
Answer:
B. x-17
Step-by-step explanation:
The water content of a certain fruit, by weight, is 80%. Therefore, 20% of the
fruit, by weight, is other material.
When left in the sun to dry, the fruit loses 75% of its water content, and the
amount of other material remains the same.
What percent of the dried fruit is water?
Your solution includes the percent water in the dried fruit and an explanation that supports your answer. in other words, how did you find that percent value?
Answer:
50% is water
Step-by-step explanation:
1. 80% is water and 20% is from other material
2. Lets say a fruit has 100g, to make it easier to understand
2. if the fruit loses 75% of its water, it will lose 75% of 80%, which is 60% of the total weight or 60g lost. The fruit is now 40g
3. If 20% was other material (20g), now other material is 50% (the same 20g)
4. Water is now only 20g, which is 50% of the total weight
Answer:
50% is water I think I am really sorry I I is wrong