Answer:
f(7) = 1.08
Step-by-step explanation:
The recursive formula can be used with the given value to find the desired value.
__
Given:
f(n) = 0.3×f(n-1) . . . . . where f(5) = 12
The next term in the sequence is ...
f(6) = 0.3×f(5) = 0.3(12) = 3.6
f(7) = 0.3×f(6) = 0.3(3.6) = 1.08
Write the product as a power: 12 x 12 x 12
Answer: It would be 12 to the power of 3
Step-by-step explanation: You can see there are three 12 so you add a tiny little three on the top of 12 so it could be 12 to the power of 3.
Answer:
12x^3
Step-by-step explanation:
The power (exponent) is however many times the base (12) is multiplied by itself. Do NOT confuse this by 12 x 3.
What’s The Answer To This? Please Help Fast
Step-by-step explanation:
Sum interior measure of triangle = 180°
Sum interior measure = (n-2)180
Where n is the no. of sides
Sum interior measure = (n-2)180
=(3-2)180
=180°
61+42+x =180
103+x =180
x = 180-103
x = 77°
Good Luck
identify wether or not the solution is liner quadratic or exponential
Answer:
...
Step-by-step explanation:
there is no photo for the solutionThe cosine of one acute angle of a right triangle is 817.
What is the sine of the other acute angle?
The sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a cosine of one acute angle of a right triangle is 8/17.
Let's suppose the angle is α
[tex]\rm Cos\alpha = \frac{8}{17}[/tex]
As we know the cos is the ratio of adjacent to hypotenuse and Sin is the ratio of the opposite to hypotenuse.
Let's suppose the length of the hypotenuse is x units
From the Pythagoras theorem:
[tex]\rm 17^2=x^2+8^2[/tex]
x = 15 units
Now the Sin ratio:
[tex]\rm Sin\alpha = \frac{15}{17}[/tex]
Thus, the sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.
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Question
A former residential complex was found to be a Superfund site polluted with several hazardous materials. Tamela is an investigative journalist who would like to show whether the proportion of the residents of the complex who eventually died from cancer is greater than the regional average of 14%. She randomly selects 54 residents who lived in the complex and finds that 12 of those residents eventually died from cancer. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?
Considering the situation described, we have that:
The null hypotheses is [tex]H_0: p = 0.14[/tex].The alternative hypotheses is [tex]H_1: p > 0.14[/tex].What are the hypotheses tested?At the null hypotheses, it is tested if the proportion at the complex is the same as the rest of the population, that is, of 14%, hence:
[tex]H_0: p = 0.14[/tex].
At the alternative hypotheses, it is tested if it is greater, hence:
[tex]H_1: p > 0.14[/tex].
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Which statement correctly compares the average number of eggs laid per day for each barn?
By taking the average number of eggs for both barns, we will see that the correct option is A.
How to get the average?
For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
For barn 1, the set is {2, 5, 5, 6}
So the mean is:
M1 = (2 + 5 + 5 + 6)/4 = 4.5
For the barn 2, the set is {3, 6, 8, 9}
So the mean is:
M2 = (3 + 6 + 8 + 9)/4 = 6.5
Now, taking the quantity 100%(M2 - M1)/M1 we get:
100%*(6.5 - 4.5)/4.5 = 44%
So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.
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help!!
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending. The independent variable is ____. A. Number of friends (f) B. Cost of party (c)
Answer:
20f=c
Step-by-step explanation:
Leonard runs a pet-sitting service. He charges $20 per day, which includes three walks and two feedings. He charges $5 for each extra walk. Which expression describes how much Leonard would charge for a single day of pet sitting with w extra walks?
y = 5w +20
its 5$ for every walk.
No matter what, it starts at 20 so that is our Y intercept.
Therefore, we make the eqaution using what we know.
y = 5w + 20
Please help me with this
Answer:
Will
Step-by-step explanation:
Katie runs 8 feet per second
Stephanie runs 10.88 feet per second
Liz runs 12.9 feet per second
Will runs 13.45 feet per second
Oliver bought 7 bags of candy. Each bag cost 1. 50. How much money did he have to pay
(2) (1) Evan joined an online game. His team of 7 players was up against another team of 10. Each player can lose 6 "lives" before they are out of the game. How many lives do all the players have combined?
How many outfits can be made from five shirts three pairs of pants and two pairs of shoes?
Answer:
3*5*2=30
He can make 30 outfits.
Step-by-step explanation:
3*5*2=30
The family Willison is creating a garden. The garden dimensions are shown in the picture. Enter the area in sq feet, of the garden
Answer:
Area of garden= 238 sq feet.
if 3 = 75 how many 3s will it take to get to 1659
Answer:
≈22
Divide 1,659 by 75(3)75 × 2 = 150 important
Write 2 at the top of your division problem, subtract 150 by 165 short form of 1,659150 - 165 = 15(9) the 9 comes from dropping the ones place in 1,659
Reconsider how many times 75 goes into 1,659(22) and since we do not have any other numbers, we write 150 and 159, because again, 1,659 has to help us solve the problem by dropping the ones place.150 - 159 = 9
_______________________________________________________
With that information, the problem is solved! We got our exact estimate, and a remainder of 9 to make up for the missing 9 in 1,650! 22 × 75 = 1,650 so add 9, the remainder.
_______________________________________________________
What did we learn today?We learned how to do long division using remainders.
Still have questions? Ask me in the comments box, and I may be able to assist.
You roll a 6 sided die. what is P?
Answer:
Finding the probability of a single die roll requires little effort.
First, remember that by definition, a prime is an integer with precisely two factors: 1 and the number itself (which is why 1 does not qualify: it has only one factor). The numbers from 6 on down that fit the bill are {2,3,5}. Since there are six sides, your answer is:
P(prime) = 3/6 = 1/2 = 50%
Which statements are true about the graphed function?
1. The midline of the function is y = 1.
2. The period of the function is 2pi.
3. The amplitude of the function is 4.
4. The amplitude of the function is 2.5.
5. The midline of the function is y = 1.5.
6. The period of the function is pi.
The correct statements regarding the function are:
2. The period of the function is [tex]2\pi[/tex].
4. The amplitude of the function is 2.5.
5. The midline of the function is y = 1.5.
What is the amplitude of a function?The amplitude of a function is half the difference between the largest and the smallest value.
In this problem, these values are of 4 and -1, hence the amplitude is:
A = (4 - (-1))/2 = 2.5.
Thus the midline is:
y = -1 + 2.5 = 4 - 1.5 = 2.5.
What is the period of a function?The period of a function is the distance between it's repetitions. Hence, for this graph, the period is of [tex]2\pi[/tex].
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Answer:
Step-by-step explanation:
Put the following items in order from most expensive to least expensive. item base price change direction blender $29.73 9% markdown hat $14.16 77% markup ink $20.17 27% markup heater $28.46 22% markdown a. blender, heater, ink, hat b. blender, ink, hat, heater c. ink, hat, blender, heater d. ink, heater, blender, hat please select the best answer from the choices provided a b c d
a spherical tank holds 8,000 ft^3 of water. What is the diameter of the tank?
Answer:
24.8 ft
Step-by-step explanation:
Formula to find the volume of a sphere is :
Volume = [tex]\frac{4}{3}[/tex] π r³
Here,
r ⇒ radius
Given that,
Volume ⇒ 8000 ft³
Let us find the radius of the tank now.
Volume = [tex]\frac{4}{3}[/tex] π r³
8000 = [tex]\frac{4}{3}[/tex] π r³
8000 = [tex]\frac{4}{3}[/tex] × 3.14 × r³
8000 × 3 = 4 × 3.14 × r³
24000 = 12.56r³
Divide both sides by 12.56.
1910.822 = r³
∛1910.822 = r
12.40 ft = radius
And now let us find the diameter of the sphere.
d = 2r
d = 2 × 12.40
d = 24.8 ft
The diameter of the tank is 24.80 ft
Step-by-step explanation:
Given-
A spherical tank holds 8,000 ft^3 of wateri.e. The volume of spherical tank = 8,000 ft^3
Now, the formula for finding volume of any spherical figure is-
[tex] \boxed{\mathfrak{ \purple{volume \:of \: sphere = \frac{4}{3} \pi {r}^{3} }}}[/tex]Therefore, substituting value, we get
[tex]⇢8000 = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]⇢8000 \times \frac{3}{4 } = \frac{22}{7} \pi {r}^{3} [/tex]
Transposing 4/3 to left hand side ,it will become 3/4 . And Here, 8000 will get cancelled by 4 leaving 2000
[tex]⇢2000 \times 3 \times \frac{7}{22} = {r}^{3} [/tex]
Similarly , On performing further calculations, we get. ..
[tex]⇢ \frac{21000}{11} = {r}^{3} [/tex]
[tex]⇢1910.822 = {r}^{3} [/tex]
[tex]⇢ \sqrt[3]{1910.822} = r[/tex]
[tex]⇢ \underline{12.40 = r}[/tex]
Thus, the radius of the tank is 12.40 ft
Now,
The diameter of the tank = 2 × radius
[tex] \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 12.40[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: = 24.80[/tex]
•°• The diameter of the tank comes out 24.80 ft
mia rides her bike 32 miles in 8 hours. At this rate, how far will she ride in 3 hours?
Answer: 12
Step-by-step explanation:
32/8= 4. She rides 4 miles an hour. So 4 x 3= 12
Answer: 12miles
Step-by-step explanation:In 1 mile she will ride 32/8 =4miles per hour
In 3hours She will ride 4×3miles
The sum of a number and twelve is 21 what is the number. Pls help fast!
Answer:
9
Step-by-step explanation:
In order to find what needs to be added, you can subtract the number your already have. In this case, subtract twelve from twenty-one.
21 - 12 = 9
To check, we can add nine to 12 and see if it works.
12 + 9 = 21 is correct.
So 9 is our answer.
Brainliest please?
The number that makes the sum of 21 when added with 12 is 9. Found solving the linear equation x + 12 = 21. Hence, option B is the right choice.
What are linear equations?Linear equations are relations between two expressions having their degree less than or equal to 1.
How do we solve the given question?In the question, we are given that the sum of a number and 12 is 21.
We are asked to find the number.
We assume the number to be x.
∴ The sum of a number and 12 is expressed using the expression: x + 12
This expression is equal to 21, which can be represented by the linear equation: x + 12 = 21.
To find x, we solve this linear equation using the given steps:
Equation: x + 12 = 21
Subtract 12 from both sides of the equation: x + 12 - 12 = 21 - 12
∴ x = 9.
∴ The number that makes the sum of 21 when added with 12 is 9. Found solving the linear equation x + 12 = 21. Hence, option B is the right choice.
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If f(x) = 3x2 1 and g(x) = 1 – x, what is the value of (f – g)(2)? 12 14 36 38
Answer:
that's the answer man ur welcome btw
Why can you say sin^2 x + cos^2 x =1 ?
Answer:
Just as the distance between the origin and any point (x,y) on a circle must be the circle's radius, the sum of the squared values for sinθ and cosθ must be 1 for any angle θ .
Step-by-step explanation:
hope this helps:)
100 points if you can help me answer these 5 questions!! :)
Answer:
A. 30°, 70° and 80°
B. 10cm
Step-by-step explanation:
A. the two triangle have same angles so the angles of triangle 2 are 30°, 70° and 80°
B. the perimeter of triangle, is twice as long as the perimeter of triangle 2 so the perimeter of triangle 2 is 20÷2 = 10 cm
!HELP! I feel asleep in class and I need help. 7h + 3
42
Step-by-step explanation:
7h+ 3 = 45
3 + 7h = 45
h=6
7×6 = 42
What is the completely factored form of the expression 16x2 8x 32? 4(4x2 2x 8) 4(12x2 4x 28) 8(2x2 x 4) 8x(8x2 x 24)
An expression is defined as a set of numbers, variables, and mathematical operations. The factored form of the expression 16x²+8x+32 is 8(2x²+x+4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The completely factored form of the expression can be written as,
[tex]16x^2+8x+32\\\\=8(2x^2+x+4)[/tex]
Thus, the factored form of the expression 16x²+8x+32 is 8(2x²+x+4).
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URGENT CIRCLE THEOREM
- find the size of the angle BAC
Answer:
B
Step-by-step explanation:
The size of the angle BAC is 44° whith is B.
what is the area of the parallelogram?
35cm!
4 + 4 = 8
7 + 7 = 14
13 + 8 = 21 (13 + (8 - 1 ) = 20 + 1 = 21)
21 + 14 = 35 (4 + 1 = 5, 20 + 10 = 30, 30 + 5 = 35)
GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
Answer:
25π-24
Step-by-step explanation:
from the figure,
radius of the circle(r)=diameter of the circle(d)/2
=10/2
=5
Area of the circle(A)=πr^2
=π5^2
=25π
Again,
base of the right angle triangle(b)=6
perpendicular of right angle triangle(p)=8
we also know,
the area of right angle triangle = 1/2*base*height
=1/2*6*8
=1/2*48
=48/2
=24
Now, Area of the shaded region=Area of circle - Area of right angle triangle (given in the figure)
Area of shaded region= 25π -24
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). which represents g(x)? g(x) = (x 9)2 4 g(x) = (x 9)2 − 4 g(x) = (x − 4)2 9 g(x) = (x 4)2 9
A function assigns values of one set to another. The function that will represent g(x) is g(x)=(x-4)²+9.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As it is given to us that we need to move the graph of the function 9 units up and 4 units towards the right. Therefore, the function that will represent the new location of the graph can be written as,
[tex]g(x) = (x-4)^2+9[/tex]
Hence, the function that will represent g(x) is g(x)=(x-4)²+9.
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Answer:
Option C. g(x) = (x - 4)² + 9
Step-by-step explanation:
The given function is f(x) = x². Following transformations have been done to get the new function as followed
for 9 units up
The parent function f(x) will become as g(x) = x² + 9
then 4 units shifted to the right
Then the new function becomes g(x) = (x - 4)² + 9
C. Explain why triangle PQR is isosceles.
Check the picture below.