Answer:
B: 9 outcomes
Step-by-step explanation:
you have 3 possibilites in the left pocket, and 3 in the right. Multiply the number of possibilites in each pocket to find how many total possibilites there are.
At a neighbor's garage sale, Rodrigo purchased a big bag of assorted bolts, nuts, screws, and washers. He picks a piece out of the bag, records its type, puts it back in the bag, and mixes them up. He does this 18 times and counts 3 bolts, 6 nuts, 5 screws, and 4 washers.
Based on the data, what is the probability of choosing a washer?
Write your answer as a fraction or whole number.
Shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. which formula could represent her sequence? f(n 1) = f(n) 5 f(n 1) = f(n 5) f(n 1) = 5f(n) f(n 1) = f(5n)
Answer:
f(n+1) = f(n)+5
Step-by-step explanation:
So lets say
f(1)=5
f(2)=10
1+1=2 so
f(2)=f(1+1)
therefor
f(n+1)=f(n)+5 since the difference of the functions is 5
the answer is A f(n+1)=f(n)+5
we know that
An arithmetic sequence is a sequence of numbers which increases or decreases by a constant amount each term
In this problem
the sequence of numbers increase by a constant amount equal to
5
each term
so
f(2)=f(1)+5
f(3)=f(2)+5
f(4)=f(3)+5
.
.
f(n+1) = f (n) + 5
therefore
the answer is the option
f(n + 1) = f(n) + 5
Answer:
A
Step-by-step explanation:
What is 0. 5¯7 expressed as a fraction in simplest form?
Answer:
5/7 cannot be simplified any further
Step-by-step explanation:
Dakota's wading pool has a volume of 8,640 cubic inches. Which could be the dimensions of the wading pool?
Answer:
Possible dimensions are 10, 4, and 216.
Step-by-step explanation:
All we have to do is find three numbers, that when multiplied, equal 8,640.
I found the numbers 10, 4, and 216.
Lauren made a scale drawing of a city park. The scale she used was 1 centimeter : 8 meters. If the soccer field is 14 centimeters long in the drawing, how long is the actual field?
Answer:
112
Step-by-step explanation:
1:8
14:x
8x14=112
X=112
Answer:
112 m
Step-by-step explanation:
1 cm : 8 m
14 cm : ?
= 14 x 8
= 112 m
The circumference of a circle is 15(pie) centimeters. what is the area Of the circle in terms of (pie)
Answer:
56.25π cm^2
Step-by-step explanation:
circumference = 15π
diameter*π = circumference
diameter = 15π/π
radius*2 = diameter
radius*2 = 15
radius = 7.5
area = π*radius^2
area = π*7.5^2
area = 56.25π
Answer:
A = 56.25π cm²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
to find r use the circumference formula
C = 2πr
given C = 15π , then
2πr = 15π ( divide both sides by 2π )
r = 7.5 cm
then
A = π × 7.5² = 56.25π cm²
Describe two ways to determine the maximum or minimum of the quadratic function f(x)= -3x²+27x-42. Find the maximum or minimum using each method
Answer:
Find by using 1st derivative test (tests slope) or 2nd derivative test (test concavity). Maximum is 18.75.
Step-by-step explanation:
The maximum of the equation is found when the slope is 0; therefore, take the derivative of the equation, find the critical point and find whether the function is increasing or decreasing around the critical point. To do this use test values within the interval of (-∞, 4.5) and (4.5, ∞). You then find that (-∞, 4.5) is increasing meaning there is a maximum. Plug in 4.5 into f(x) to find the y value.
Second method is using the 2nd derivative test. Find the second derivative and use the same method of testing intervals but instead plugging in test values to the 2nd derivative. You then find that f''(x) is < 0 meaning the function is concave down, thus having a maximum. Plug in 4.5 to find the y value.
You purchase Diamond Club Seats for the Cincinnati Reds upcoming game. You purchase 5 tickets for your favorite teachers. They are $175.000 each. Tax is 7.5% calculate the total cost of the tickets. Show work in the space provided.
What is the product of the binomials (4a – 1) and (2b 3)? 18ab – 3 8a2b2 10ab – 3 6ab 7a – 2b – 3 8ab 12a – 2b – 3
Binomials are polynomials with two terms.The product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The product of the binomial can be done as,
[tex](4a-1) \times (2b+3)\\\\= (4a \times 2b)+(4a \times 3)+(-1 \times 2b)+(-1\times 3) \\\\= 8ab+12a-2b-3[/tex]
Thus, the product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.
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Answer:
Answer is D
Step-by-step explanation:
Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals 3/5
Angle Y
Angle A
Angle B
Angle C
Angle W
Angle Z
Answer:
∠B
∠Y
Step-by-step explanation:
we know that
In the right triangle ABC
----> opposite side to angle B divided by the adjacent side to angle B
substitute the values
Remember that
If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent
so
∠A=∠W
∠B=∠Y
∠C=∠Z
If f (x) = startroot one-half x minus 10 endroot 3, which inequality can be used to find the domain of f(x)? startroot one-half x endroot greater-than-or-equal-to 0 one-half x greater-than-or-equal-to 0 one-half x minus 10 greater-than-or-equal-to 0 startroot one-half x minus 10 endroot 3 greater-than-or-equal-to 0
A function assigns values. The inequality one-half x minus 10 greater-than-or-equal-to 0 should be satisfied.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The domain of a function is a set of values for which the equation is satisfied. Since the function has under root values, the value which is under the root should be non-negative so that it does not give a complex number, therefore,
The inequality [tex]\sqrt{\dfrac12x^2-10}\geq 0[/tex]satisfied to find the domain of the function f(x).
Also, we can write that 0.5x²-10≥0 for the value to be positive.
Hence, the inequality one-half x minus 10 greater-than-or-equal-to 0 should be satisfied.
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1.) The ratio of the number of men to the number of women in a concert is 3 : 5. If there are 4800 people at the concert, how many are men? How many are women?
2.) Alice can type 65 words in 1 min. How many minutes would it take her to type an essay 2275 words long?
3.) Mrs. Ong divided her property worth P 3, 480, 000 between her two children in the ratio of 3 : 5. How much was the bigger share?
4.) In 2 minutes , Mario can run 1800 m. How far can he run in 6 min?
5.) Cielo gets 2 hits out of every 3 times at bat. If she got 16 hits, how many times was it at bat?
6.) Three friends shared in the capital of putting up a computer business in the ratio of 4 : 5 : 6. If the total amount of capital is P450 000, how much was the smallest share?
Answer:
1.) men: 1800, women: 3000
2.)2275/65 = 35 mins
3.)P 2,175,000
4.) 5400 in 6 mins
5.) Probably 5?
6.) P 120 000
Step-by-step explanation:
Find x and y... Thanks!
y=65x+50
what is this equation equal
Find the SURFACE AREA of the shape below.
Answer:
total surface area 84.72 m2
lateral surface area 68.44 m2
top surface area 8.14 m2
bottom surface area 8.14 m2
m2= squared btw
The area of a rectangle is 46.56 mm2.
If the width is 9.7 mm, find the length.
Answer:
The length is 4.8 mm
Step-by-step explanation:
The area of a rectangle is calculated by multiplying the length times the width. So:
46.56 = l * w
46.56 = l * 9.7
To find the length, we must get "l" alone. To do this, we must divide both sides by 9.7.
46.56/9.7 = 4.8
4.8 = l
The length is 4.8
4. A liter is equal to 1000 cm3. How many liters of water are needed to fill a cylindrical tank that is 1.1 m long and a radius of 0.3 m? A. 150.72 L B. 200.27 L C. 300.72 L D. 310.86 L hold nn ml water How much
Answer:
D. 310.86 L
Step-by-step explanation:
[tex]\textsf{Volume of a cylinder}=\pi r^2h[/tex]
where:
[tex]r[/tex] is the radius[tex]h[/tex] is the heightGiven:
r = 0.3 mh = 1.1 m[tex]\pi[/tex] = 3.14[tex]\implies \sf \textsf{Volume of the tank}=(3.14)(0.3)^2(1.1)=0.31086\:m^3[/tex]
[tex]\sf 1\:liter = 1000\:cm^3[/tex]
To convert cubic cm to cubic meters, divide by 1,000,000:
[tex]\implies \sf 1\:liter =\dfrac{1000}{1,000,000} = 0.001\:m^3[/tex]
[tex]\implies \sf \textsf{Volume of the tank}=\dfrac{0.31086}{0.001}=310.86\:L[/tex]
What's the equation of the line that passes through the points (–8,4) and (0,22)?
Answer:
c
Step-by-step explanation:
PLS HELP ASAP Cassandra earns $12. 98 an hour working at Key Food. How much money will she earn this month, if she works 36. 7 hours? Round the amount of time to the nearest hundredth.
Dana made a paper box that is 8 in. long, 5 in. wide, and 1in. high. It is shaped like a rectangular prism. What is the surface area of the box?
Fred is training for a cross-country race. At practice last week, he ran 6. 25 miles in 1
1
4
hours. At that speed, how long would it take Fred to run 8. 5 miles?
Answer:
1.36
Step-by-step explanation:
Answer:
1.7 hours
Step-by-step explanation:
IXL is pain.
How do I do this? :(
Answer:
2762 in²
Step-by-step explanation:
The total surface area of a figure is the sum of the areas of its faces.
Area of rectangle= length ×breadth
Assuming that this is a closed box, the total surface area is the total area of its 6 rectangular faces.
Two rectangles have dimensions of 7 in. ×19 in., another two rectangles have dimensions of 48 in. ×7 in., and the last two rectangles have dimensions of 48 in. ×19 in.
Surface area of the figure
= 2(7)(19) +2(48)(7) +2(48)(19)
= 266 +672 +1824
= 2762 in²
Colonel Mustard is making a candle by pouring melted wax into a mold in the shape of a cone. The radius is 6 cm, and the height of the cone is 11 cm. To get the wax for the candle, she melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Colonel Mustard need in order to make the candle? Show your work.
Answer:
Colonel Mustard would need to use 2 cubes of wax
pls give brainlyist
Step-by-step explanation:
first solve for area of cone
V = 1/3(BH)
1/3(18.84955592 * 11)
69.11503837cm^3
then solve for the cubes
B*H*W
4*4*4
64cm^3
divide the cone volume by the cubes volume and round up to the largest hole number
1.07992247
round up
2
Sharon has at most $25 to spend on her sister's birthday gift. She already bought a knitting machine for her, which cost $14.99. She would also like to get her sister some skeins of yarn to go with it. Each skein costs $2.75. Write an inequality to represent this problem. Use y to represent the number of skeins of yarn. What is the most number of skeins Sharon can afford to buy? Justify your answer in two or more complete sentences.
Answer:
$25 >= 14.99+2.75x
Step-by-step explanation:
8) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answer:
A: y= -1x+1
B: y= 1/3x-3
Step-by-step explanation:
slope intercept form
y=mx+b
i just need the answer to it and then ill do the labels
Answer:
x = 23
Step-by-step explanation:
2x -3 + 47 = 90
2x = 46
x = 23
Determine the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months. a. $93.32 b. $95.40 c. $211.33 d. $253.60 please select the best answer from the choices provided a b c d
The monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.
loan amount P = $3000
Rate of interest = 7.5% per annum
So, monthly rate of interest r= 7.5/12 %
Tenure n = 36 months
What is the formula to calculate monthly payments?The formula to calculate monthly payments is given
[tex]EMI=\frac{Pr}{1-(r+1)^{-n} }[/tex]...........(1)
Where P =loan amount
r = monthly rate of interest
n=tenure
So by substituting the given values in (1) the monthly payment = $93.32
Hence, the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.
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HELP PLEASE ASAP!!!
Carol asked a random sample of 10 seventh grade student athletes and 10 seventh grade students who are not athletes how much time, in minutes, they spend studying each weeknight. She recorded her results in the table
Student Athletes: 103, 62, 21, 100, 140, 65, 124, 45, 86, 114
Not Student Athletes: 101, 135, 122, 43, 110, 62, 31, 80, 67, 126
A) Calculate the mean and median data values for the student athletes sample
B) Calculate the mean and median data values for the not student athletes sample.
C) When comparing the two samples, what conclusions can you draw about which group spends more time studying each weeknight?
Answer:i dont know sorry but i think its c
Step-by-step explanation:
hope someone answer it
Answer:
9) A. ∠1 and ∠3
10) B. Angle 2
11) B. 110°
12) B. 70°
Step-by-step explanation:
Vertical angles: a pair of opposite angles formed by two lines intersecting. Vertical angles are congruent.
The vertical angles in the given diagram are ∠1 and ∠3 AND ∠2 and ∠4
These pairs of angles are equal, so: ∠1 =∠3 AND ∠2 =∠4
Therefore:
If ∠1 = 110° then ∠3 = 110°
If ∠2 = 70° then ∠4 = 70°
What is the solution for the equation startfraction 5 over 3 b cubed minus 2 b squared minus 5 endfraction = startfraction 2 over b cubed minus 2 endfraction? b = –4 and b = 0 b = –4 b = 0 and b = 4 b = 4
An equation is formed of two equal expressions. The solution of the equation is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be written as,
[tex]\dfrac{5}{3b^3-2b^2-5} = \dfrac{2}{b^3-2}\\\\5(b^3-2) = 2(3b^3-2b^2-5)\\\\5b^3-10=6b^3-4b^2-10\\\\5b^3-10-6b^3+4b^2+10=0\\\\-b^3+4b^2=0\\\\b^2(-b+4)=0\\\\-b+4=0\\\\-b=-4\\\\b=4[/tex]
Thus, the solution of the equation is 4.
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Answer:
c
Step-by-step explanation: