Answer:
{15, 16} or {-15, -16}
Step-by-step explanation:
Quick solution:
take half of the sum (approx. 240), sqrt(240)=15.5
So the numbers are 15 and 16. and also the negative equivalents since squares are always positive.
Exact method:
Let
x=smaller integer,
x+1 = next integer.
sum:
x²⁺(x+1)^2 = 481
2x^2 + 2x + 1 = 481
2x^2 + 2x - 480 = 0
x^2 + x -240 = 0
x = 15 or x = -16
so the integers are
either
{15, 16} or {-15, -16}
The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.
Assume 'x' is the number and the successive number is (x + 1).
The sum of the square of the consecutive number is 481. Then the equation of the number is given as,
x² + (x + 1)² = 481
Simplify the equation, then we have
x² + (x + 1)² = 481
x² + x² + 2x + 1 = 481
2x² + 2x - 480 = 0
x² + x - 240 = 0
x² + 16x - 15x - 240 = 0
x(x + 16) - 15(x + 16) = 0
(x + 16)(x - 15) = 0
x = 15, -16
Then the successive numbers are given as,
x + 1 = 15 + 1
x + 1 = 16
x + 1 = - 16 + 1
x + 1 = - 15
More about the solution of the equation link is given below.
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May i get some help from anybody
Answer:
m<UVW = 156°
Step-by-step explanation:
Given:
m<PVW = 130°
m<UVP = 26°
Required:
m<UVW
Solution:
m<UVP + m<PVW = m<UVW (Angle Addition Postulate)
Substitute in the given values
26° + 130° = m<UVW
156° = m<UVW
m<UVW = 156°
Identify the arc length of AD◠ in terms of π.
HELP PLZZ!! I'M CONFUSED!!
Answer:
≈ 3.91π in.
Step-by-step explanation:
IT is given that ∠APC = 92 and PB = 8 in. The arc length of AD is ≈ 3.67π in.
What is Arc length?Arc length is defined as the distance between two points along a section of a curve.
IT is given that
∠APC = 92 and PB = 8 in
As ∠APC and ∠APD are formed in linear pairs.
So,
∠APC + ∠APD = 180∘
∠APD = 180 - ∠APC
∠APD = 180∘ − 92∘
∠APD = 88∘
Now, the length of the arc will be,
= Ф/360 2πr
= 88/360 x 2 x π x 8
=88/360 x 16π
=352/90 x π
≈ 3.91π in.
Hence, the arc length of AD is ≈ 3.91π in.
Learn more about Arc length here:
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Explain fully, please
Answer:
Step-by-step explanation:
formula of volume of cone is given so u simply substitute the values given and calculate.
Work is done for u .
Hope this helps u
Sara was choosing songs for her "Birthday Dance Party" shuffle tonight. She wanted to choose: 3 of her 8 Beyonce songs, 4 of her 12 Justin Timberlake songs, 2 of her 5 Drake songs, and finish it off with either Micheal Jackson or the Beatle's version of Happy Birthday. How many different ways can she make her Birthday song mix?
Answer:
554400
Step-by-step explanation:
To answer this question, we use combination as we are just interested in selection rather Than arrangement.
Beyonce songs ; 3 from 8 = 8C3
Justin ; 4 from 12 = 12C4
Drake ; 2 from 5 = 5C2
Version of happy birthday = 1 from 2 = 2C1
Recall :
nCr = n! ÷ (n-r)!r!
However, the answers can also be obtained using a calculator :
8C3 * 12C4 * 5C2 * 2C1 = 554400 different mix
What is the correct value of x in the triangle
Answer: 4
Step-by-step explanation:
Using the 30°-60°-90° Triangle Theorem we know that the base side is half of the hypotenuse. That means it is half of 8 which is 4
A gardener uses a rainwater collection barrel (storage container) shaped like a right cylinder to store water for his plants. The barrel has a radius of 1.5 feet and a height of 3.5 feet. The gardener plans to build a small square fence so that the barrel just fits inside the square fence as shown here.
Which of the following is the best approximation of the perimeter of the fence the gardener will build?
A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet
Answer:
Option C
Step-by-step explanation:
Barrel (storage container) is enclosed in a small square fence.
Since, barrel is touching the surfaces from four sides of the cylindrical barrel.
Length of each side of the square fence = Diameter of the barrel
= 2(radius of the barrel)
= 2(1.5)
= 3 feet
Perimeter of a square = 4(Side of a square)
= 4(3)
= 12 feet
Therefore, Option C will be the correct option.
Select 2 answers: one for the questions A and one for the question B
Answer:
2a & 5a
Step-by-step explanation:
I don't know I guessed dont input the answers i said
Answer:
A. 0.25 inches
B. 0.125 inches
Step-by-step explanation:
A.
The smallest increment is represented by 1/4. Converting this into decimal form would make this 0.25.
Work:
1/4 = x/100
1 × 100 = 4 × x
100 = 4x
25 = x
25/100
0.25
B.
The uncertainty is what is not labeled on the ruler. We know 0.25 (1/4), 0.50 (2/4), and 0.75 (3/4) are labeled on the ruler. Out of all the options, 0.125 is not labeled. Therefore, 0.125 is the uncertainty.
What 75 degree + 105 degree ?
Answer:
75˚ + 105˚ = 180˚
Step-by-step explanation:
75 + 105 =
180
Hope this helps!
the ratio of blue to yellow paint when mixed to make green paint is 3:2 what percentage of the green paint is made from yellow paint
Answer:
40%
Step-by-step explanation:
3 + 2 = 5
Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%
Hope this helped!
We want to know what percentage of the population have college degrees. We take a sample of 100 individuals and find that 28 have college degrees. Answer the following, rounding your answers to 2 decimal places. a. What is the sample proportion? b. Find the SE. c. Construct a 95% confidence interval. d. What does this 95% confidence interval tell us about our population proportion p? (One sentence is the perfect length for an answer)
Answer:
a) p = 28/100 p = 0,28 or p = 28%
b) SE = 0,0448
c) CI 95 % = ( 0.1921 ; 0.368 )
We can support with 95 % of confidence that the proportion of people with a College degree would be found within these limits
Step-by-step explanation:
a) Sample proportion: Is the number of positive success divide by sample size
That is from 100 ( individuals) ( sample size ) it was found that 28 had College degree ( positive success)
Then p = 28/100 p = 0,28 or p = 28%
b) The standard error is
SE = (√p*q)/n
p = 0,28 then q = 1 - 0,28 q = 0,72
SE = √ (0.28)*(0.72)/100
SE = √0.002016
SE = 0,0448
c) CI = 95 % then significance level is α = 5 % α = 0.05
α/2 = 0.025
From z- table we find z(c) = 1.96
Then CI 95 % = p₀ ± z(c) * SE
CI 95 % = 0.28 ± 1.96*0.0448
CI 95 % = ( 0.28 ± 0.088 )
CI 95 % = ( 0.1921 ; 0.368 )
d) We can support with 95 % of confidence that the proportion of people with college degree would be found within these limits
Solve the system of equations -3x - 3y =18 and -4x - y = 0
Answer:
Point Form:
(2,−8)
Equation Form:
x=2 , y=−8
Step-by-step explanation:
Answer:
x=2
y=-8
Step-by-step explanation:
you could calculate it by rearranging and manipulating the equations, but this time I graphed it with desmos as two lines with an intersection
Together, teammates Pedro and Ricky got 2679 base hits last season. Pedro had 283 more hits than Ricky. How many hits did each player have?
Pedro had base hits
Answer:
Pedro: 1481 Base hits
Ricky: 1198 Base hits
Step-by-step explanation:
First, take the total amount of base hits last season 2679, then subtract how many more Pedro has 283.
2679 - 283 = 2396 now divide the sum in half 2396 ÷ 2 = 1198 that gives you how many each player has, you're then going to add the amount that you took off to only Pedras total since he had 283 more
Pedro: 1198 + 283 = 1481
Ricky: 1198
2/9 en numero decimal porfavor
me urge
Answer:
0.22222222222222
Step-by-step explanation:
Jade says that the absolute value of a number and the opposite of a number is the same thing. Is Jade correct? Use examples to help you explain.
Answer:
No, the absolute value of a number is different from the opposite.
Step-by-step explanation:
For example, the absolute value of 4 is 4.
l4l = 4
But the opposite of 4 is -4.
Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.
how do I even solve this??
CAN SOMEONE PLEASE HELP ME!!!! I NEED HELP BAD
Helpppp meh, 50 points and u better answer correctly!!
Answer:
yessir
Step-by-step explanation:
gimme brainliest i think its C
Find the difference.
100 – (-87)
Answer: 187
Step-by-step explanation:
negative cancels negative so that will turn to positive. (-) x (-) = +
100- (-87)
=
100 + 87
= 187
Answer:
187
Step-by-step explanation:
100 - (-87)
100 + 87
187
PLZ MARK as BRAINLIEST
Suppose that your statistics professor tells you that the scores on a midterm exam were approximately
normally distributed with a mean of 78 and a standard deviation of 7. The top 15% of all scores have
been designated A’s. Your score is 89. Did you earn an A? Explain.
Answer:
YesStep-by-step explanation:
z-score representing 85% is 1.04 (from table)
Let x be the score representing the lower limit of 85%.
Use the formula to find z-scores:
z = (x - μ)/σWe have:
z = 1.04, μ = 78, σ = 7Substitute the values and solve for x:
1.04 = (x - 78)/7x - 78 = 7.28x = 85.28The lower limit of the top 15% is 85.28.
Since your score is greater than 85.28 you earned an A
f(x) = x^2. What is g(x)?
Answer:
Step-by-step explanation:
The standard form of the quadratic we need is
[tex]y=a(x-h)^2+k[/tex] where we have everything we need but a. That's what we will solve for.
x and y come from the coordinate given on the red graph:
x = 2 and y = 1
h and k come from the coordinates of the vertex:
(0, 0). Fill all that in and solve for a:
[tex]1=a(2-0)^2+0[/tex] and
1 = 4a so
a = 1/4 That makes our equation
[tex]y=\frac{1}{4}(x-0)^2+0[/tex] or simplified:
[tex]y=\frac{1}{4}x^2[/tex], choice B.
In the rectangle below, EI = 2x+6, FI= 5x-6, and m ZIFE = 490.
Find EG and m LIGF.
E
F
Guy
MZIG
H
G
Answer:
gyufigaruofhasidjfdskcm
Step-by-step explanation:
There are x boys playing in the park. The number of girls in the park in equal to the square root of the number of boys. If the total number of boys and girls playing in the park is 42, find the number of boys
For this problem you have to solve for m
Answer:
81
Step-by-step explanation:
RZT = 137
RZS = 56
SZT = 137 - 56 = 81
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
i think its contrast
Step-by-step explanation:
it s sayin this awncer is equal to the other one.
Consider the relation y → 4 x−1 for the domain {3, 5, 7, 9}
(a) Calculate the values for the range.
Answer:
{ 11, 19, 27, 35 }
Step-by-step explanation:
To find the range substitute each value of x from the domain into the relation
x = 3 : y → 4(3) - 1 = 12 - 1 = 11
x = 5 : y → 4(5) - 1 = 20 - 1 = 19
x = 7 : y → 4(7) - 1 = 28 - 1 = 27
x = 9 : y → 4(9) - 1 = 36 - 1 = 35
range is { 11, 19, 27, 35 }
Seventy weather balloons were sent up. Twenty-eight were found. What percent wer ound? 17
Step-by-step explanation:
let the percent of found balloons be x
given,
total number of balloons= 70
number of found balloons= 28
according to the question,
x% of 70= 28
x/100 × 70 = 28
x=40
hence 40% of the balloons were found
Peter arranges a total of 12 books on 3 shelves in the library. He puts the same
number of books on each shelf. Which picture shows the books on the shelves?
You didn't include a picture of the answer choices, but this is what the answer would look like. Pretend the different shapes represent different rows:
ΔΔΔΔ
ββββ
αααα
There are three rows. 4 Books in each row.
Plzz help me with this question.
plzz help it's due today
Answer:
B
Step-by-step explanation:
Say the point below point B is point C.
AB belongs to triangle ABC.
To find hypotunuse AB, we need BC and AC so that we can use pythagorean thereom.
BC is already given --> 1.
AC is a diagonal of the rectangular prisms's base.
We already have 2 sides for the triangle that the base diagonal belong's to.
AC^2 = 4^2 + 6^2
AC^2 = 16 + 36 = 52
AC = √52
Now we have AC ad BC. We can find AB using pythagorean thereom.
AC^2 + BC^2 = AB^2
(√52)^2 + (1)^2 = AB^2
52 + 1 = AB^2
AB^2 = 53
AB = √53
option B
I need help with this trig question
===========================================================
Work Shown:
Apply the cosine ratio to find the adjacent side AB
cos(angle) = adjacent/hypotenuse
cos(B) = AB/BC
cos(62) = AB/12
12*cos(62) = AB
AB = 12*cos(62)
AB = 5.6336587534307
AB = 5.6 cm
Make sure your calculator is in degree mode.