Answer:
The five odd numbers are:
23, 25, 27, 29, and 31
Step-by-step explanation:
A random odd number is written as:
2*n + 1
Where n is an integer.
Then 5 consecutive odd numbers will be:
2*n + 1
2*(n + 1) + 1
2*(n + 2) + 1
2*(n + 3) + 1
2*(n + 4) + 1
Now we want that the sum of the first 3 numbers to be 15 greater than the sum of the two last numbers, then:
(2*n + 1) + (2*(n + 1) + 1) + (2*(n + 2) + 1) = 15 + (2*(n + 3) + 1) + (2*(n + 4) + 1)
Now we just need to solve this for n:
(2*n + 1) + (2*n + 3) + (2*n + 5) = 15 + (2*n + 7) + (2*n + 9)
6*n + 9 = (15 + 7 + 9) + 4*n
6*n - 4*n = 15 + 7 + 9 - 9
2*n = 15 + 7 = 22
n = 22/2 = 11
Then the five numbers are:
(2*11 + 1) = 23
(2*(11 + 1) + 1) = 25
(2*(11 + 2) + 1) = 27
(2*(11 + 3) + 1) = 29
(2*(11 + 4) + 1) = 31
Using the letters suggested, construct a simple formula:
A car travels a km/h for b km and makes another journey at c km/h for d km.
a. Find the total distance (s km) the car travels
b. Find the formula for the Average Speed of the entire journey.
Answer:
Speed = distance / time
Time = distance/ Speed
Distance = Speed x time
Factor 4x2 - 1.
A) (2x + 1)(2x - 1)
B) (2x - 1)(2x - 1)
C) (4x - 1)(x + 1)
D) (4x + 1)(x + 1)
Answer: A) (2x+1)(2x−1)
How to: Since both terms are perfect squares, factor using the difference of squares formula,
Have a great day and stay safe !
Suppose two rectangles have the same area. Must they have the same length and width? Explain.
Answer:
no
Step-by-step explanation:
Two rectangles having the same area do not need to have the same length and width. The length and width of the rectangle are just factor pairs of the number that is the area. For example, if the area was 12, the side lengths would be 1 and 12, 2 and 6, or 3 and 4. As you can see, those aren't the same lengths and widths. A rectangle may be 1x12 and another may be 3x4, but they have the same area.
WILL
GIVE
BRAINLIST
FIND THE OPPOSITE OF THE NUMBER
21
Answer:
it's
-21
or 12
which one you mean
Given F(x) = 3x-2 and G(x) = 4-x2. Evaluate 2F(1) - 3G(3).
Answer:
[tex]9x^{2} -34[/tex]
Step-by-step explanation:
Use the given functions to set up and simplify [tex]2F(1)-3G.3.[/tex]
The point in the middle between 3G and 3 is a multiplication sign btw
¿Cuál de las siguientes respuestas es equivalente a 5 km?
(3 puntos)
50.000 metros
500 metros
5.000 metros
0.005 metros
Answer:
5
[tex] 5 \times 100 = 500[/tex]
can I get help with this 3m⁵ x 3m⁷
sine is positive in
Your answer:
o the 1st and 2nd quadrants
O the 1st and 3rd quadrants
o the 1st and 4th quadrants
o the 2nd and 3rd quadrants
Please help
Answer:
sin is only positive in 1st and 2nd quadrants
Step-by-step explanation:
As you may know, sine is defined as y-term or value in (x, y). You can go see a unit circle.
Remember that sine is y while cosine is x.
Since sine is y, It'd be a horizontal line. And since it's a horizontal line, it intersects two points in a unit circle.
Q1 and Q2 both are positive while Q3 and Q4 are negative.
No file, guessing, or random answers
a population has a standard deviation of 20.2. what is the standard error of the sampling distribution if the sample size is 121? round your answer to two decimal places.
A) 1.84
B) 1.44
C) 1.55
D) 1.68
Answer:
A) 1.84
Step-by-step explanation:
I just took the quiz
The standard error of the sampling size is 121 is 1.84
What is standard error?"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."
"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:
σx = σ / sqrt(n)."
Given,
Standard deviation of the sample is 20.2
and sample size is = 121
Standard error is = [tex]\sigma/\sqrt(n)[/tex]
i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84
Hence, option A is true.
To know more about standard error here
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If x= 2/3 and x = – 3 are roots of the quadratic equations ax2 + lx + b = 0, find the values of a and b.
Answer:
Step-by-step explanation:
ax² + 7x + b
Substituting 2/3 in equation
4a/9 + 14/3 +b = 0
4a/3 + 14 + 3b = 0
4a + 42 + 9b = 0 ------> (i)
Substituting -3 in equation
9a - 21 + b = 0
81a - 189 + 9b = 0 ------> (ii)
Elimination method
a = 3
substituting in any equation
b = -6
Solve:
22,064 ÷ 394=
Answer: 56
394 goes into 22064 56 times.
Answer:
0.056
The Answer is 56!!!!
Step-by-step explanation:
13 - [(3² x 4) - 30]
Answer:
7
Step-by-step explanation:
13 - [(3² x 4) - 30]
13 - [(9 x 4) - 30]
13 - (36 - 30)
13-6
7
Answer:
7
Step-by-step explanation:
I think the answer you're looking for is 7
Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .
The probability that Chloe chooses a blue pencil and then a red pencil is
The probability that Chloe chooses the yellow pencil and then a blue pencil is
No links please :)
Answer:
A) P(chooses a blue pencil and then a red pencil) = 5/27
B) P(chooses yellow then blue) = 5/81
Step-by-step explanation:
She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack
Thus;
total number of pencils = 3 + 5 + 1 = 9 pencils
A) probability that she chooses a blue pencil and then a red pencil;
P(blue) = 5/9
Now she puts it bag after choosing which means the sum is back to 8 pencils.
Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3
Thus;
P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3
P(chooses a blue pencil and then a red pencil) = 5/27
B) probability that Chloe chooses the yellow pencil and then a blue pencil;
Similar to A above;
P(yellow) = 1/9
P(blue) = 5/9
P(chooses yellow then blue) = 1/9 × 5/9
P(chooses yellow then blue) = 5/81
I need help ASAP!!!!!! Calculate the slope of the line through the points (-1, 1) and (4, 0).
A. 5x
B.-1/5
C.1/5
D.-5
Answer:
B. -1/5
Step-by-step explanation:
To find the slope we place (0-1) over (4- (-1))
find the length of the hypotenuse of a right triangle if a=6 and b=10
Answer:
Step-by-step explanation:
6^2 + 10^2 = c^2
36+100 = c^2
136 = c^2
square root both sides
c = square root 136
Item 2
Jake ran 145 meters before lunch and 389 meters after lunch.
How many kilometers did Jake run in all?
A. 0.00534 km
B. 0.0534 km
C. 0.534 km
D. 5.34 km
Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = x + 4 Select the solution(s) of the original equation.
Answer:
-7
Step-by-step explanation:
2(x+4)-3(x+4)-3=0
2x+8-3x-12-3=0
-x+8-15=0
-x-7=0
+7 +7
-x=7
/-1 /-1
x=-7
--
hope it helps
Answer:
B and D buster
Step-by-step explanation:
2. Katelyn flips a coin and rolls a standard 6-sided die. What is the probability that she
flips tails and rolls a 3?
1/2
1/4
1/8
1/12
Answer:
1/2 because a coin is a 50/50 % chance of both sides
Answer:
1/12
Step-by-step explanation:
It says that she flips a coin and a dice. So you do 2x6=12. And you get 1/12. Sorry if the explanation doesnt make sense.
Help please this is for an important test
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.
What is the probability that the first three students all randomly select a pen with blue ink?
A. 1/4
B. 1/27
C. 1/64
D. 1/220
We have 12 pens in total
P(first three pens are blue with replacement) = 3/12 * 3/12 * 3/12 =
(1/4) * (1/4) * (1/4) =
1/ 64
The required probability that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.
Given that,
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total number of sample = 12
Favorable outcome = 3
Required probability that the first three students all randomly select a pen with blue ink = 3 / 12 × 3 / 12 × 3 / 12
= 1 / 64
Thus, the required probability that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.
Learn more about probability here:
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Find the volume of a sphere with a diameter of 6.2 in.
Answer: its 23 meters
Step-by-step explanation:
The volume of a sphere with a diameter of 6.2 in is 39.72π
What is the volume of the sphere?The volume of a sphere is defined as the total amount of capacity applied in a sphere that can be calculated using the volume formula for the sphere which is V = (4/3)πr3.
The radius of the sphere is;
[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{6.2}{2}\\\\Radius=3.1[/tex]
The volume of the sphere is;
[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume =\dfrac{4}{3}\pi (3.1)^3\\\\Volume = 39.72\pi[/tex]
Hence, the volume of a sphere with a diameter of 6.2 in is 39.72π.
Learn more about sphere here;
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A large popcorn bag holds four times as much as a small popcorn bag. At the end of a party,
3 1/3 small bags and 2 1/4 large bags were left.
a) How many small bags would the leftover popcorn fill?
b) How many large bags would the leftover popcorn fill?
Please help me fast, also show all work and steps please:)
Answer:
A] 37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12
Step-by-step explanation:
Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.
Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.
So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) = [ 10 p / 3 ] + [ (9 x 4) p / 4 ] = 10p / 3 + 9p = (10p + 27p) / 3 = 37p / 3
A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn = ( 37p / 3 ) / (p) = 37 / 3 = 12 1/3
B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn = ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12
At the end of each day of a bowling competition, half of the bowlers are eliminated until a winner is determined. There are 320 bowlers on day 1 of the competition. Which equation represents the number of bowlers, y, on the day x of the competition
Answer:
Step-by-step explanation:
Y= 320(1.5)^x-1
In this exercise we have to use the data informed in the text and perform the assembly of an equation in this way we find that:
[tex]Y=320(0.5)^X-1[/tex]
Some data were informed in the text for this equation to be written, so:
Y: the number of bowlersX: on the day320 bowlersNow writing the equation representing the given information is:
[tex]Y=320(0.5)^X-1[/tex]
See more about equation at brainly.com/question/2263981
Which table represents a function
Answer:
A
Step-by-step explanation:
because it passes the vertical line test and also for every x, there is only one y
At a local plant sale, Janice was selling Golden Barrel Cactus plants and baby Saguaros. During the sale, she sold 5 times as many Saguaros ($6 each) as Golden Barrels ($10 each). She made a total of $720 during the plant sale. How many Saguaros did Janice sell? A. 18 B. 40 C. 72 D. 90
Step-by-step explanation:
The answer is D 90
Answer:
(100 POINTS WILL MARK BRAINLIEST FOR ACTUAL ANWSERS) Write an equation in standard form of the ellipse with vertices (0,-2) and (8,-2), and a focus located at (7,-2)
Answer:
(x-4)^2 / 16 + (y+2)^2 / 7 = 1 or 7x^2-56x+16y^2+64y+64=0
Step-by-step explanation:
Either one should be right I think. Hope this helps.
Question 1
Simplify the following arithmetic expression without using a calculator:
1/2 + 7/8 X 49/8 = 7/2 - 3/32
12-1/2 x 271/2
Answer:
0 = 0 = 0 = 0 = 0 < 1/
2
< 7/
8
< 7/
2
< 49/
8
< 12 < 271/
2
0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1/
2
is less than 7/
8
is less than 7/
2
is less than 49/
8
is less than 12 is less than 271/
2
0/
8
= 0/
8
= 0/
8
= 0/
8
= 0/
8
< 4/
8
< 7/
8
< 28/
8
< 49/
8
< 96/
8
< 1084/
8
Step-by-step explanation:
How many solutions
Line A: x + y = 2
Line B: 2x + y = 4
Answer:
1 solution (2, 0 )
Step-by-step explanation:
Given the 2 equations
x + y = 2 → (1)
2x + y = 4 → (2)
Subtract (1) from (2) term by term to eliminate y
2x - x + y - y = 4 - 2 , that is
x + 0 = 2
x = 2
Substitute x = 2 into either of the 2 equations and evaluate for y
Substituting into (1)
2 + y = 2 ( subtract 2 from both sides )
y = 0
one solution is (2, 0 )
Please help me I've been on this question for like and hour-
Answer:im so sorry i dont know this one
Step-by-step explanation:but i would try adding subtracting or divison
Answer:
21
Step-by-step explanation:
We can use a proportion to solve this problem
8 : 33.6 = 5 : OP
OP = (33.6 x 5)/8 = 21
Can somebody help, will give brainliest
9514 1404 393
Answer:
c = 2segments 10, 8, 6 (top down)Step-by-step explanation:
The sum of top and bottom bases is twice the midsegment.
(c² +6) +(c² +2) = 2(4c)
2c² -8c +8 = 0 . . . . . . . . . subtract 8c
2(c -2)² = 0 . . . . . . . . factor
c = 2 . . . . . . the value that makes the binomial be zero
The value of c is 2; the segment lengths (top-down) are 10, 8, 6.
Consider the sequence 1, 3, 9, 27, 81, … Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to ∞. The sequence converges to –∞.
ANSWER: A
Answer:
a
Step-by-step explanation:
just took it!