Answer:
[tex]f(5)=1249[/tex]
Step-by-step explanation:
Given:
[tex]f(1)=1[/tex][tex]f(n) = 5f(n-1)+4[/tex][tex]\implies f(2) = 5f(1)+4=5(1)+4=9[/tex]
[tex]\implies f(3) = 5f(2)+4=5(9)+4=49[/tex]
[tex]\implies f(4) = 5f(3)+4=5(49)+4=249[/tex]
[tex]\implies f(5) = 5f(4)+4=5(249)+4=1249[/tex]
find the Perimeter and area
Answer:
perimeter = 22 + 3π
area = 48 + (9/2)π
Step-by-step explanation:
perimeter = 8 + 6 + 8 + (1/2)(6π) = 22 + 3π
area = 8(6) + (1/2)(3^2)π = 48 + (9/2)π
3 cm
Find the surface area of the above solid.
O A. 56 cm2
• B. 40 cm2
• C. 48 cm2
D. 36 cm2
Help quickly please
area is 36...............
Can someone help me with this? I need it before Monday. I will give brainlist!! If the picture is too blurry here is the problem:
Michelle makes jewelry boxes containing drawers of equal size. The numbers of drawers in three ditterent ewelry boxes and the corresponding total volumes of the drawers are shown in the table below. JEWELRY BOXES Number of Drawers Total Volume (cubic inches) 2 5 3 7.5 4 +6 10 Write an equation for the relationship between the number of drawers in the jewelry box, d, and the total volume of the drawers in the jewelry box, V. Use your equation to determine the number of drawers in a jewelry box with a total volume of 17.5 cubic inches Show your work.
Answer:
1. total volume of box=2.5(V)D
2. 7 Drawers
Step-by-step explanation:
2.5 = V
so 1 draw = 2.5 cubic inches of volume
so V(2.5) × D(number of drawers) = total volume of drawers in the box
A greenhouse owner wants to test the effectiveness of a new fertilizer on African violets. She has 60 violet
seedlings that were grown for 8 weeks. She wants to test the new fertilizer on 10 of the plants, and decides to use
a simple random sample to select them. Which of the following statements is true?
She needs to select the 10 biggest plants to test the new fertilizer.
She needs to select the 10 smallest plants to test the new fertilizer.
She needs to number each plant 1-60 and randomly select 10 plants.
She needs to put the plants in 6 groups of 10 and randomly select 1 of the groups.
Answer:
1 - 60
Step-by-step explanation:
She needs to number each plant 1-60 and randomly select 10 plants.
If Emily walks to school at 3 miles per hour, the walk takes 20 minutes. If she rides her bike to school at 5 miles per hour, how long will the trip take her?
Answer:
40 minutes
Step-by-step explanation:
I think this is the correct answer
I hope I helped you
sorry if I got it wrong btw
Solve using the Elimination Method
x - 2y = 4
3x + 4y = 2
Answer: x=2, y=-1
Step-by-step explanation:
Step 1) Make both equations have the same coefficient
What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.
[tex](2)x - (2)2y = (2)4\\2x-4y=8[/tex]
Step 2) Add the equations together to eliminate y
[tex]2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10[/tex]
Step 3) Solve for x
[tex]\frac{5x}{5} =\frac{10}{5} \\x=2[/tex]
Step 4) Sub the value of x into an equation and solve for y
[tex]x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1[/tex]
A, B & C form a triangle where Z BAC = 90°.
AB = 4.2 mm and CA = 1.5 mm.
Find the length of BC, giving your answer rounded to 1
DP.
mm
BC =
Answer:
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
A, B, C, ZBAC=90°
AB=4.2mm
CA=1.5mm,
DP
mm
BC
hope this helps
Answer:
BC = 4.5 (1 dp)
Step-by-step explanation:
Pythagoras’ Theorem
[tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = AC = 1.5b = AB = 4.2c = BCSubstituting these into the formula and solving for BC:
[tex]\implies 1.5^2+4.2^2=BC^2[/tex]
[tex]\implies 2.25+17.64=BC^2[/tex]
[tex]\implies BC^2=19.89[/tex]
[tex]\implies BC=\pm\sqrt{19.89}[/tex]
As distance is positive,
⇒ BC = 4.5 (1 dp)
last one i swear please help
Answer:
Step-by-step explanation:
please help!! it’s select all that apply :)
Answer:
1. [tex]y = 4 * 2^x^+^1[/tex]
4. [tex]y = 2^x^+^3[/tex]
Step-by-step explanation:
First one:
[tex]y = 4 * 2^x^+^1\\y = 4 * 2^x * 2^1\\y = 8 * 2^x[/tex]
Fourth one:
[tex]y = 2^x^+^3\\y = 2^x + 2^3\\y = 8 * 2^x[/tex]
Five gallons of gasoline cost \$ 22. 80$22. 80.
What is the price per gallon?
Answer:
$4.56
Step-by-step explanation:
22.80/5 = 4.56
3 1/8 x 90 please help me thank you everyone ! :)
Answer:
[tex]2248\frac{1}{4}[/tex]
Step-by-step explanation:
given: [tex]3\frac{1}{8} * 90[/tex]
now, we turn both into improper fractions:
25/8 * 90/1 :: [tex]\frac{25}{8} * \frac{90}{1}[/tex]
now we multiply across
[tex]\frac{25}{8} * \frac{90}{1} = \frac{2250}{8}[/tex]
now turn into a mixed number:
[tex]\frac{2250}{8} = 2248\frac{2}{8}[/tex]
simplify! :
[tex]2248\frac{1}{4}[/tex]
what is the area of 10in circle
Answer:
Step-by-step explanation:
going by the assumption tha the radius is 10inches.
area would be pi r^2
which would be pi(10)^2 = 100pi =314.16 (rounded)
formular for area of a circle
Answer:
Tr2
Step-by-step explanation:
pie * radius * radius
Answer:
πr²Step-by-step explanation:
The circumference of a circle is given to be 2πr, and its radius to be r.
Area = 1/2 x circumference x radiusArea = 1/2 x 2πr x rArea = πr²Is a triangle with the side lengths 4 feet, 7. 5 feet, and 8. 5 feet a right triangle? Why or why not?
Answer:
Yes
Step-by-step explanation:
You can test if a triangle is right-angled by using Pythagoras' Theorem.
So:
[tex]4^2 + 7.5^2 = 8.5^2[/tex]
16 + 56.25 = 72.25
They do in fact add up so this triangle is right angled.
Suppose a town has a population of 5,000 residents but that the population is decreasing by 200 people each year. Write a linear function to represent the population of the town in terms of the numbers of years. After how many years will the town have a population of 1,800? When will the town have only 400 residents?
Answer:
it will take 16 years to reach a population of 1800 and in 23 years the population will be 400.
Step-by-step explanation:
population: 5000
population decreasing: 200x
y=5000-200x
(1800-5000)/-200
(400-5000)/-200
A teacher has been given £35 to spend on pencils and rulers.
A packet of 12 pencils costs £2.15.
A pack of 30 rulers costs £6.00.
She buys 4 packs of rulers and spends the rest on packets of pencils.
How many packets of pencils can she buy?
Please help me I’ve asked this questions several times and I really need help with this I do not understand it at all
Answer:
(-5,-2)
(-4,-3)
(-6,-1)
Step-by-step explanation:
-5(x)-2(y)=-7
-4(x)-3(y)=-7
-6(x)-1(y)=-7
please help me find the same denominator
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
let us first start with some basic information ~
A fraction can be represented as [tex]\frac{x}{y}\\[/tex] where ,
x is the numerator and y is the denominator !
the question asks us to do something that will help us get same denominator for both the terms !
so let's see what we should do in such a case ~
[tex] \frac{9}{10} \: and \: \frac{7}{8} \\ \\ \\ lets \: make \: the \: denominator \: of \: both \\ the \: terms \: reach \: 80 \: , \\ \\ \bold\orange{ \implies \: \frac{9}{10} \times \frac{8}{8} = }\bold\red{ \frac{72}{80}} \\ \\\bold\orange{ \implies \: \frac{7}{8} \times \frac{10}{10} =}\bold\red{ \frac{70}{80}} [/tex]
and we're done !
let's add some more info to be lil more clear ~
while converting the denominator of both the terms , we must multiply the same number ( this number refers to the one we'll have to multiply to the denominator to obtain the desired result ) with the denominator as well as with the numerator !
hope helpful :D
Answer:
Step-by-step explanation:
you have to multiply first fraction with '8' and second fraction with '10' :
the fractions will become 72/80 and 70/80 then you can compare it
Math 50 points Please Help
Answer:
Step 3
Step-by-step explanation:
-4(3)(-1)
Will be equal to a positive 12
Ms. Upton spends a total of $42 for 3 sweaters for her children. Each sweater costs the same amount. How much does each sweater cost?
Which equation can be used to find the answer?
Group of answer choices
42 + S= 3
S= 423
S=42*3
S-42=3
Answer:
The answer would be $14 a sweater.
And S=42*3 (If * is a divide by sign)
Step-by-step explanation:
Step 1. Find the equation. If $42 is total then we know to to divide that number by three getting the equation S=42*3.
Step 2. Do the math. 42 divided by 3 is 14, meaning 14 dollars per sweater.
I hope this helps! :)
Given that a student is in 10th grade, what is the probability that the student is also not involved in after-school activities? 0.43 0.45 0.55 0.57
Answer:D
Step-by-step explanation:
The area of a rectangle is (x4 4x3 3x2 – 4x – 4), and the length of the rectangle is (x3 5x2 8x 4). if area = length × width, what is the width of the rectangle? x 1 x – 9 x 4 x – 1
Answer:
Area = x4 + 4x3 + 3x2 - 4x - 4
Length = x3 +5x2 + 8x + 4
Width = Area / Length.
Performing long division with polynomial.
x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1
Width = x-1
Step-by-step explanation:
The value of the width of the rectangle is,
⇒ (x - 1)
We have to given that;
In a rectangle;
Area = x⁴ + 4x³ + 3x² - 4x - 4
Length = x³ +5x² + 8x + 4
We know that;
Width = Area / Length.
Hence, Performing long division with polynomial.
Width = x⁴ + 4x³ + 3x² - 4x - 4 / x³ +5x² + 8x + 4
= x - 1
Thus, The value of the width of the rectangle is,
⇒ (x - 1)
Learn more about the rectangle visit:
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Bryan and Jadyn had barbecue potato chips and soda at a football party. Bryan ate 5oz of chips and drank 1 cup of soda for a total of 650mg of sodium. Jadyn ate 1oz of chips and drank 5 cups of soda for a total of 250mg of sodium. How much sodium is in 1oz of chips and how much is in 1 cup of soda?
Answer:190 mg of sodium in 1 oz of chips and 40 mg for 1 cup soda.
Step-by-step explanation:
The diagram shows a prisim
Draw the front elevation and the side elevation of the prism on the grids.
use a scale of 2 squares to 1m
The parabola in the image has its focus at (4,3).Its directrix is the line y=1.The point (8,6) is on the parabola.
The true statements for the parabola in the image are:
C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.Option D.How to determine the equation of the directrix?Mathematically, the standard equation of the directrix lines for a parabola is given by y = a(x - h)² + 2.
Given the following data:
Vertex (h, k) = (4, 3).
Point (x, y) = (8, 6).
Next, we would determine the distance where point (8, 6) lies on the parabola:
y = a(x - h)² + 2
6 = a(8 - 4)² + 2
6 = a(4)² + 2
6 = 16a + 2
16a = 6 - 2
16a = 4
a = 4/16
a = 1/4.
Therefore, the equation becomes:
y = 1/4(x - 4)² + 2
When x = 2, we have:
y = 1/4(2 - 4)² + 2
y = 1/4(-2)² + 2
y = 1/4(4) + 2
y = 1 + 2
y = 3.
In conlusion, the true statements regarding the parabola in the image are:
The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.The point (2, 3) is on the parabola.Read more on directrix here: https://brainly.com/question/2346582
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11 What is the value of k if the mid-point of the line joining (1 – k, 4) and (2, k + 1) is (-k, k)?
Answer:
k = -3
Step-by-step explanation:
Given
(-k, k) is the midpoint of the line joining (2, k + 1) and (1 - k, 4)Solving
Equate the midpoint and endpoints using the Midpoint FormulaLet's equate the x parts-k = 2 + 1 - k / 2-2k = 3 - k-k = 3k = -3How to multiply a ratio then divided by 3.
Answer:
Heres the answer
Step-by-step explanation:
To calculate the ratio of an amount we divide the amount by total number of parts in the ratio then multiply the answer by original ratio.
WILL GIVE BRAINLIEST
Distance formula: distance = sqrt((x2-x1)^2 + (y2-y1)^2)
distance = sqrt((-2 - -9)^2 + (-2 - -6)^2)
Distance = sqrt( 7^2 + 4^2)
Distance = sqrt(49+ 16)
Distance = sqrt(65)
Answer is c. Sqrt(65)
Answer: the answer is c which square root 65
Step-by-step explanation: hope it is correct .
Find the surface area and volume, GIVING BRAINLY
The value of 4,576 x (2,480 + 3) is 3 more than the value of 4,576 x 2,480