Answer:
5
Step-by-step explanation:
If the population in Charleston, SC grew exponentially from 90,620 people in 1990 to 120,083 people in 2010. Write a function to model Charleston's population from 1990 to 2010 assuming the population grew at a constant growth rate during that time period where P (population) is a function of time, t, (where t represents t).
What is the rate?
A prism has a height of 5 inches and a volume of 80 cubic inches.
Select all figures that could be the base for this prism.
O a square with side length 4 inches
O a 2 inch by 8 inch rectangle
O a circle with radius 2 inches
O a right triangle with legs 4 inches long
O a heart-shaped base with an area of 16 square inches
Answer: a square with side length 4 inches
a 2 inch by 8 inch rectangle
a heart-shaped base with an area of 16 square inches
Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.
For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
(2.257)² ≈ 5.093
5.093 × 3.1416 ≈ 16
16 × 5 = 80
The base for this prism should be like
a square with side length 4 inches.
a 2 inch by 8 inch rectangle.
a heart-shaped base with an area of 16 square inches.
Could be the base for the prism:Since
The given height is 5.
Any base with an area of 16 square inches should be considered as an acceptable base.
Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
So, it be like
(2.257)² ≈ 5.093
Now
5.093 ( 3.1416) ≈ 16
16 ( 5) = 80
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graph the line witg the equation y=-x-6
Answer:
Attached is the graph. The x-intercept is -6, and the y-intercept is -6.
PLEASE ANSWER THIS IN SLOPE INTERCEPT FORM!!!
Answer:
The answer is
[tex]y = - \frac{3}{4} x + \frac{13}{4} [/tex]
11. Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself?
A. octagon
B. decagon
C. hexagon
D. pentagon
Answer:
the answer is a octagon that has rotation of 45degrees
(I retook the photo for u nice smarts) here I go nice person help
Answer:
(6,7)
x=6
y=7
Step-by-step explanation:
What you do is combine the two equations and solve for x
1/3x+5=5/3x-3
Add three to both sides and subtract 1/3x from both as well
This gives us
8=4/3x
Divide by 4/3 and get
x=6
Then plug x=6 into any of the equations and get
1/3*6+5
This gives us 7
Answer:
I'm the bad guy
Step-by-step explanation:
heres yo go mattty lolololololol
Answer:
x = 16
Step-by-step explanation:
71 - 15 = 56
56 ÷ 14 = 4
[tex]\sqrt{16}[/tex] = 4
Check work:
[tex]\sqrt{16}[/tex] = 4
14 x 4 = 56
56 + 15 = 71
Simplify the expression below using the distributive property
Answer:
-84-12i
Step-by-step explanation:
The one you have is the answer :)
if 3x - 6.59 = 11.41 what is the value of x
Answer: x = 6
Step-by-step explanation:
3x - 6.59 = 11.41
Add 6.59 to both sides
3x = 18
Divide both sides by 3
x = 6
Hope that helped!
Answer:
I have the same question,
Step-by-step explanation:
please help me i need help quick plz
Answer:
Step-by-step explanation:
L is 11
H is 48
Q2 = (32 + 33) / 2 = 32.5
Q1 is 23
Q3 is 46
2) The distribution is skewed right
hope this helps :)
A rectangle of sides 5 cm and 2 cm is cut out from a bigger rectangle of sides 14 cm and 7 cm to form a new shape as shown below.
What is the perimeter of the new shape formed?
a. 46 cm
b. 40 cm
c. 22 cm
d. 20 cm
Answer: a. 46 cm
Step-by-step explanation:
(7 + 14) × 2 + 2× 2 = 46 (cm)
The perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm
Given:
Smaller rectangle
length = 5 cm
width = 2 cm
perimeter of smaller rectangle = 2(length + width)
= 2(5 + 2)
= 2(7)
= 14
Larger rectangle
length = 14 cm
width = 7 cm
perimeter of larger rectangle = 2(length + width)
= 2(14 + 7)
= 2(21)
= 42 cm
perimeter of new shape = perimeter of larger rectangle + 2 × 2
= 42 + 4
= 46 cm
Therefore, the perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm
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help me, please............
Answer:
reflected over the y axis
A person deposited Rs 60000 in a bank for 2 years at the rate of 10%pa compounded annually.But after one year,bank has changed the policy and decided to pay semi-annual compound interest at the same rate.What is the percentage difference between compound interest of first year and second year?
Answer:
[tex]1.159\%[/tex]
Step-by-step explanation:
Given: Principal or P [tex]=\textrm{Rs }60,000[/tex].
Rate or R [tex]=10\%[/tex] per annum compounded annually.
Time or T [tex]=2[/tex] years.
To find: Percentage difference between compound interest of first year and second year.
Solution:
First year interest [tex]=\frac{\textrm{P}\times \textrm{R}\times \textrm{T}}{100}=\frac{60000\times 10\times 1}{100}=\textrm{Rs }6000[/tex].
First year amount [tex]=\textrm{Rs }60,000+\textrm{Rs }6,000=\textrm{Rs }66,000[/tex].
For the second year, the interest is compounded semi-annually.
So, time is doubled and the rate is halved.
Second year compounded amount [tex]=66,000\times [1+\frac{10}{2\times 100}]^2=66,000\times1.1025=\textrm{Rs }72,765[/tex].
Second year compound interest [tex]=\textrm{Rs }72,765-\textrm{Rs }66,000=\textrm{Rs }6,765[/tex].
Difference in interest of first and second year [tex]=\textrm{Rs }6,765-\textrm{Rs }6,000=\textrm{Rs }765[/tex].
Percentage difference [tex]=\frac{765}{66000}\times 100\%=1.159\%[/tex].
Hence, the percentage difference between compound interest of first year and second year is [tex]1.159\%[/tex].
Find the value of x...X=?
Answer:
The value of x° = 134°
Step-by-step explanation:
Given the angles of a quadrilateral
100°51°75°x°We know that the sum of interior angles in a quadrilateral is 360°.
so
100° + 51° + 75° + x° = 360°
226° + x° = 360°
subtracting 226° from both sides
226° + x° - 226° = 360° - 226°
x° = 134°
Therefore, the value of x° = 134°
VERIFICATION:
100° + 51° + 75° + 134° = 360°
360°= 360°
Solution:
→ 100° + 51° + 75° + x = 360°
→ (100° + 51° + 75°) + x = 360°
→ 226° + x = 360°
→ x = 360° - 226°
→ [ x = 134° ]
Thus, the value of x is 134°.
HELP PLEASEEEE
The diameter of Jupiter is about 10 times the diameter the Earth . Which object in the solar system has a diameter that about 10 times the diameter of Jupiter ? A)Saturn B)Sun C) Moon D) Mercury
Answer: B: Sun.
Step-by-step explanation: Jupiter is the largest mass in our solar system, other than the sun. Everything else is too small.
The object in the solar system has a diameter that is about 10 times the diameter of Jupiter is B: Sun.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that the diameter of Jupiter is about 10 times the diameter of the Earth.
We know that Jupiter is the largest mass in our solar system, other than the sun. other planets are too small.
Diameter of Jupiter = 1.43 x [tex]10^5[/tex]km
Diameter of Earth = 1.27 x 1[tex]0^4[/tex]km
Diameter of Jupiter = 10 (Diameter of Earth)
Ratio = Jupiter/Earth
Ratio = 1.43 x [tex]10^5[/tex]/1.27 x 1[tex]0^4[/tex]km
Ratio = 11.3
Since all the other planets are small; only the sun has the largest diameter than Jupiter.
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What is the binomial expansion of (x+2y)^7
Answer:
......................................................................
Find the solution to the system of equations
−8x+9y=−21
-3x+9y=−36
Answer:
(-51,-21) solve for the first variable in one of the equations. then substitute the result into the other equation
HELP HELP HELP HELP Pi =?
Answer:
Pi = 3.14159265359
Step-by-step explanation:
3.14159, this is π
Followed by 2-6-5-3-5-8-9
Circumference over diameter
7-9, then 3-2-3
OMG! Can't you see?
8-4-6-2-6-4-3
And now we're on a spree
38 and 32, now we're blue
Oh, who knew?
7, 950 and then a two
88 and 41, so much fun
Now a run
9-7-1-6-9-3-9-9
Then 3-7, 51
Half way done!
0-5-8, now don't be late
2-0-9, where's the wine?
7-4, it's on the floor
Then 9-4-4-5-9
2-3-0, we gotta go
7-8, we can't wait
1-6-4-0-6-2-8
We're almost near the end, keep going
62, we're getting through
0-8-9-9, on time
8-6-2-8-0-3-4
There's only a few more!
8-2, then 5-3
42, 11, 7-0 and 67
We're done! Was that fun?
Learning random digits
So that you can brag to your friends
on day 1 a patient measures 5 feet and 11 inches tall. after 4 days of stretching the patient measures 5 feet and 11 inches tall. What is the slope and is it negative or positive?
Answer:
slope is zero
Step-by-step explanation:
zero slope is neither positive or negative; it indicates no change whatsoever
Find the least common multiple (LCM) for the pair of numbers.
20, 3
Need answers like now
Step-by-step explanation:
A method for this would be the tree diagram
20
/. \
10 x 2 ( u circle 2,times with 1 will times into itself)
/ \. (nothing goes into 2)
5x2 (same goes for 5 and the rest)
5x2x2= 20
3. (cant times into itself)
so 2x5x3 = 30
LCM = 30
can someone help me please?
Answer:
72/100
Step-by-step explanation:
What is the solution to the system of equations? 3x - 4y = 22 -9x + 4y = 38
Answer:
[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]
WILL GIVE BRAINLIEST!!!
What is the approximate average rate of change for f(x) = 20(0.5) from
x = 2 to x = 2?
Answer:
It is: (f(2) - f(0))/(2 - 0)
f(2) = 250(0.5)(2) = 250
f(0) = 250 (0.5)(0) = 0
So: (250 - 0)/(2 - 0) = 250/2 = 175
The average rate of change is 175.
Step-by-step explanation:
What is the vertex of the function f(x) = 2+3x+ 3/2
Answer:
0=2+3x+3/2
0=7/2+3x
-3x=7/2
divide by -3 on both sides
x=-7/6
hope this helps
Step-by-step explanation:
ABC is a triangle.
B
х
5.6 cm
9.3 cm
50°
Α'
78°
D
С
Work out angle x.
Give your answer correct to 3 significant figures.
Answer: 50.5
Step-by-step explanation:
If it’s mathswatch you don’t need an explanation just type in the answer it gives you all the marks <3
The value of the angle,x=50.531°. The angle is obtained by the sin law.
What is the triangle?A triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
From the sin rule;
[tex]\rm \frac{AB}{sin \angle ACB} =\frac{BC}{sin \angle BAC} \\\\ \rm \frac{5.6}{sin \angle ACB} =\frac{9.3}{sin \angle 50^0} \\\\ \angle ACB=27.49^0[/tex]
For the same angles;
[tex]\rm \angle ACB=\angle BCD[/tex]
From the exterior angle theorm ;
[tex]\rm \angle BCD+\angle CBD= \angle ADB[/tex]
∠CBD=x
∠ABD=78°
Putting the obtained values;
27.469°+x=78°
x=78°-27.469°
x=50.531°
Hence,the value of the angle,x=50.531°.
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What are the Slope and y- Intercept of the graph y= -4x - 5
Answer:
slope: -4, y intercept: (0, -5)
Step-by-step explanation:
Pls help and show workings due ASAP
Answer:
m = 2/3
Step-by-step explanation:
slope is equal to rise/run
rise = y2 - y1 = 7 - 1 = 6
run = x2 - x1 = 3 - (-6) = 9
simplify 6/9 = 2/3
Catty Couture is a company that make designer socks for cats.
134 cats are waiting for their socks to be made.
How many socks is this in total?
Answer:
536
Step-by-step explanation:
4 paws on each cat, multiply by the amount of cats = 536
Prove that the value of the expression:
165+164 is divisible by 17
Answer:
329 divided by 17 is 19.3529411765 so round it 19.3529 turns in to 19.353
so take that and mutiply it by 17 then you will get 329
Step-by-step explanation:
Answer:
[tex]16^{2} (272)[/tex] is divisible by 17
Proof:
In order to solve this question we will have to factor [tex]16^{5} + 16^{4}[/tex]. We will have to do that as follows.
[tex]16^{5} + 16^{4} = 16^{3} (16^{2} + 16) = 16^{2} (272)[/tex]
From here we know the the resulting number will be equal to [tex]16^{2} (272)[/tex] now we will need to know the following property. If "b" is divisible by "c" then "ab" (where a is any integer) will also be divisible by c. In our case one of the factors is 272, and it is divisible by 17, so that means that [tex]16^{2} (272)[/tex] will also be divisible by 17.
Terry drove 228 miles in 6 hours at a constant speed. How long would it take him to drive 285 miles at the same speed?
Answer:
7.5 hours
228 ÷ 6
38 × 7.5 = 285