Answer: 72π meters squared.
Step-by-step explanation: Given that the radius is 6 meters, use the sphere surface area formula to find the surface area of the half-sphere;
Replace the value in the formula: A=4πr² → A=4π6²Solve the exponent first: A=4π6² → A=4π36The order of the multiples does not affect the total, so we can multiply 4 times 36 first: A=4π36 → A=144π144π is the surface area of the whole sphere, so half the sphere will be 72π. In conclusion, the surface area of the dome will be 72π meters squared.In 2010, Cornfield Farms produced 175,000 bushels of corn. Each year since 2010, their total corn harvest has increased by 2.5% over the previous year.
Write an exponential function, f(x), that models the number of bushels of corn produced x years after 2010.
Enter your answer by filling in the boxes.
f(x)= · ( )x
Answer:
f(x)=(2.5)x
Step-by-step explanation:
x equals the number of years after 2010, and every year after 2010 their total corn harvest increases by 2.5%, so you would have 2.5 multiplied by however many years after 2010 it is
The exponential function f(x) that models the number of bushels of corn produced x years after 2010 is f(x) = 175000(1.025)^x
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
We can use compound interest formula whenever there is compounding (increment or decrement) per unit time.
Here, the initial amount of production farm was doing in 2010 is 175000 bushels of corn.
This value increases by 2.5% per year.
We need the final number of bushels of corn that will be produce x years after 2010.
So, here, we can take P = 175000, R = 2.5, and T = x
Then, we get:
[tex]f(x) = A = 175000\left(1 + \dfrac{2.5}{100}\right)^x\\\\f(x) = 175000(1.025)^x[/tex]
Thus, the exponential function f(x) that models the number of bushels of corn produced x years after 2010 is [tex]f(x) = 175000(1.025)^x[/tex]
Learn more about compound interest here:
https://brainly.com/question/11897800
A rectangular prism has a length of 5 cm, a width of 7 cm, and a height of 4 cm. What is the volume of the prism?
Question 1 options:
A: 39 cm cubed
B: 16 cm cubed
C: 140 cm cubed
Answer: 140
Step-by-step explanation:
15. A hot dog stand sells of its hot dogs before noon, and of its hot dogs after noon. At the
end of the day they have 21 hot dogs left. How many hot dogs did they sell?
PLEASE HELP WILL MARK BRAINLEST!
Answer:
Step-by-step explanation:
The first thing to do is convert to a common denominator.
So 1/2 =4/8. That means the vendor sold 4/8+3/8=7/8 of its hot dogs. 280 = 7/8. Now if you divide 280 by 7, you get 1/8 (answer = 40). The vendor sold 7/8 and 1/8 was left, which = 40. 8/8 would be 280 + 40 = 320.
After substituting, what is the first operation performed by hen evaluating 5+(9x-3) divided by 2 for x=5?
Addition
Multiplication
Subtraction
Division
Find the perimeter of the figure.
Answer:
24 in
Step-by-step explanation:
Perimeter = 9 + 5 + 1 + 5 + 4 = 24 in
Hope that helps!
Mrs. Lee teaches 132 students every day. On a particular day, one-fourth of her students are sick and 24 go on a field trip. In addition to these absences, she gets three new students. How many students does she teach on this day?
Answer: 78
Step-by-step explanation:
Given
Mrs. Lee has [tex]132[/tex] students
On a particular day, one-fourth of her students are sick i.e.
[tex]\Rightarrow \dfrac{1}{4}\times 132=33[/tex]
and 24 were on a field trip.
The total no of students taught on that day will be the subtraction of the gone students and the addition of three new.
[tex]\Rightarrow 132-33-24+3\\\Rightarrow 78[/tex]
Susan bought two toys. One toy is $6.50 more than the other. The two toys cost $86.50 together. Write an equations and let x = the cost of one of the toys.
Answer:
$86.50 - $6.50 = $80.00
$80/2 = $40
$40 + $6.50 = $46.50
Step-by-step explanation:
Find the measure of the listed angles below.
Answer:
30,90
Step-by-step explanation:
because it all adds up to 180
Answer:
E and I are alternate interior angles, therefore are congruent
m∠E = m∠I = 60°E and F are complementary, therefore add to 90°
m∠F = 90° - 60° = 30°H and I supplementary, therefore add to 180°
m∠H = 180° - 60° = 120°Solve 2sinx^2-5sinx-3=0
Answer:
3
Step-by-step explanation:
The answer my Math 4 teacher gave me. :) work with it
please help me with this
Answer:
3. 7
4. 9
5. 19
6. 15
7. 40
8. 32
9. 100
10. 18
11. 500
12. 125
Step-by-step explanation:
Tino bought a piece of granite
that is 5 feet long. The cost
of the granite is $3.50 per
foot, including tax. What is the
total cost, in dollars, of Tino's
granite purchase?
What do you think my favorite color is
( The closest one will get Brainieliest)
Answer:
teal?
Step-by-step explanation:
Answer:
Black , Blue or White
Step-by-step explanation:
I don't know what is true about 3x9? A. It is 3 is more than 9 B. It is 3 is less than 9 C. It is 3 times as much as 9 D. It is 3 times smaller than 9
Answer:
C. It is 3 times as much as 9
Step-by-step explanation:
3 * 9 = 27
Using elimination method;
A. It is 3 is more than 9
3 + 9 ≠ 27
This is incorrect.
B. It is 3 is less than 9
3 - 9 ≠ 27
This is incorrect.
C. It is 3 times as much as 9
3 * 9 = 27
This is the correct option.
D. It is 3 times smaller than 9
9 / 3 ≠ 27
Which term correctly describes the figure shown below?
An obtuse triangle ABC is shown. Angle A is 25 degrees, angle B is 110 degrees, and angle C is 45 degrees. Side AB is 6 meters, side BC is 4 meters, and side AC is 9 meters.
A. acute triangle
B. obtuse triangle
C. parallelogram
D. right triangle
Answer:
it is triangle probality acute or scalene triangle
Factor each expression below.
a. 16x − 4 =
b. −10x 5x2 =
c. 30y − 24x =
A) Answer:
4 (4x - 1)
B) Answer:
-5x ( 2 + x )
C) Answer:
6 (5y - 4x)
hope it helped.
Determine the surface area from the folllowing nets. Type the answer in the space provided (no units needed). If the answer is correct a mystery picture will appear. (Zo om in for bigger picture of dimensions)
Answer:
#1
Surface area is the sum of 3 rectangles and 2 triangles:
S = 8*6 + 9*6 + 8*3 + 2(1/2*3*6) = 144 ft²#2
Surface area is the sum of 1 square and 4 triangles:
S = 5*5 + 4*(1/2*3*5) = 55 ft²help please!! i need this last one to finish!!!! 44 points!!
Answer:
The point is at about (4.5, 100).
Step-by-step explanation:
Minka's line is p = 22t, which has a y-intercept of 0.
Kenji's line is p = 50 + 11t, which has a y-intercept of 50.
Find the line with y-intercept at 0 and the line with y-intercept at 50. Follow the two lines until they intersect. The point of intersection is about (4.5, 100).
You can find this point by setting the two equations equal to each other:
22t = 50 + 11t
Subtract 11t from both sides.
11t = 50
t = 50/11 ≈ 4.545
Then you can find the p value for this point by plugging t = 4.545 into either equation.
p = 22(4.545) = 99.99
p = 50 + 11(4.545) = 99.995
On the graph the point is about (4.5, 100).
PLEASE HELP ASAP <33
Answer:I don't know this one
Step-by-step explanation:
Help me ggfsnjsheejhdbshsjsnsjshwn
Answer:
x=29
Step-by-step explanation:
Since this is a straight line, it has to be 180 degrees in total.
Solve x+35+4x=180.
Add the similar numbers. (5x+35=180)
Subtract 35 to 180 (145)
Solve for this by divding 145 by 5: 5x=145
145/5 = 29
So, x = 29.
(To check your answer, subsitute it in. 4x29 = 116. 29+35=64. Add both numbers together, making it equal to 180.)
Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t) and the number of days (d) Jamie has practiced?
d = 45t
d = 45 + t
t = 45d
t = 45 + d
I purchased a new gaming system on opening night. Sincel amore of the first 100 customers to purchase the system, the store gives me a 20% discount off of the regular cost. Il pay $500 for the gaming system at the discounted price, what is the regular cost of the gamning system?"
Answer:
Answer:
2500
Step-by-step explanation:
50020%50020%
Convert 20%20% to a decimal.
5000.25000.2
Divide 500500 by 0.20.2.
2500
Felix drove 68 mies in 1 hours
He had a 30-minute break and then drove a further 40 miles in 45 minutes.
Work out his average speed for the whole joumey
Give your answer in:
a) miles per hour
b) kilometres per hour
C)metres per second.
Answer:
Step-by-step explanation:
30 minutes every three fourths of an hour
Identify two segments that are marked congruent to each other on the diagram below. ANSWER CORRECTLY !!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!! (Two capital letters each )
We have a parallelogram, and we want to identify two segments that are parallel. then LO is parallel to MN.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Here We can see that ON is parallel to LM and LO is parallel to MN
Because this is a parallelogram as we know this because there is a 90° angle at N, the opposite sides are parallel.
So from this, we can conclude that sides ON and LM are opposite, then ON is parallel to LM
With the same reasoning, LO is parallel to MN.
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ2
List the 5 ways we can show that two triangles are congruent.
Answer:
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. If any two angles and the included side are the same in both triangles, then the triangles are congruent.
(side, side, side) we have two triangles with all three sides equal. ...
(side, angle, side) ...
(angle, side, angle) ...
(angle, angle, side) ...
(hypotenuse, leg)
Step-by-step explanation:
this is crazy lol
If I cut a cake into equal parts and one slice = 3.333, where would I find the 0.001? (total of slices = 10)
Step-by-step explanation:
That is so because 1/3 is *not exactly equal to* 0.333333
0.333333 is an approximation of 1/3 which is correct to 6 decimal places.
So 0.333333 x 3 = 0.999999 which is approximately equal to 1.
If you want to be more accurate, you could write the fraction 1/3 everywhere and not write it in floating point form.
1/3 in floating point format will be 0.333333333…..and so on with infinite decimal places. This is because when you try to divide 1 by 3, you get a nonterminating recurring number after decimal point.
Its usually represented by a bar or dot on top of the recurring part
Ex. 1/3 = 0.3bar
(Sorry I can't get the bar on 3 by typing from keyboard)
But let's just say 0.3 bar is 0.333333…and so on to infinity.
When you multiply 0.3bar x 3 you get 0.9bar
= 0.999999….and so on to infinity.
These decimal point figures just a very great approximations of the fraction 1/3.
Hope this helps. Feel free to reply if you still have doubts.
The price of a hot tub was marked down by $250. The original price of the hot tub was $3,600. What was the percentage rate of the discount (to the nearest
tenth of a percent)?
5.8% rate of discount
7.2% rate of discount
6.9% rate of discount
8.5% rate of discount
None of these choices are correct.
ОООО
6.9% discount
(6.9% of 3,600 is 248.40 but the question says to choose the closest answer)
hiii please answer !!
Answer:
21 and 35
Step-by-step explanation:
Prime factorization of 21 is 3*7
Prime factorization of 35 is 5*7
Answer:
21 and 35
Step-by-step explanation:
Is 17/34 and 32/64 proportional why or why not?
Answer:
Yes
Step-by-step explanation:
Both equals to 1/2
That's the answer
does anyone know how to do this?
Answer:
So basically the answer is where the lines intersect if they do not intersect there is no solution if they are on top of one another it is infinite solutions
Step-by-step explanation:
Susan bikes 3 miles round-trip from home to school, Monday through Friday. On Saturday and Sunday she does not ride her bike, but skateboards around her neighborhood. How many miles total does she bike to and from school each week?
Answer:
15 miles
Step-by-step explanation:
5 days times 3 miles per day.
the saturdat/Sunday skateboarding stuff is irrelevant to the question asked