Answer:
The smaller number is 4√2 and the larger number is (4√2 + 1).
Step-by-step explanation:
Let the two numbers be x and y, where y is the larger of the two numbers.
Since y is the larger number, it is one more than the smaller number. So:
[tex]y=x+1[/tex]
When negative two times the smaller is added to the square of the larger, the result is 33. In other words:
[tex]-2x+y^2=33[/tex]
Substitute:
[tex]-2x+(x+1)^2=33[/tex]
Solve for x. Square:
[tex]-2x+(x^2+2x+1)=33[/tex]
Simplify:
[tex]x^2+1=33[/tex]
Subtract one from both sides:
[tex]x^2=32[/tex]
And take the square root of both sides:
[tex]x=\pm\sqrt{32}=\pm 4\sqrt{2}[/tex]
Since y is positive, we can ignore the negative case. So, the smaller number is:
[tex]x=4\sqrt{2}\approx5.66[/tex]
And the larger number is:
[tex]y = 4\sqrt{2} + 1 \approx6.66[/tex]
A vault contains 3000 worth of nickels.
How many nickels are in the vault
Answer:
600 nickels
Step-by-step explanation:
A baseball is "popped" straight up by a batter with an initial velocity of 32 ft/sec. The height of the ball above ground is given by a function where t is time in seconds after the ball leaves the bat and h(t) is the height in feet above the ground. The batter hit the ball at an original height of 4 feet off of the ground, and the acceleration due to gravity is -16ft/se2
Answer:
The ball reaches the maximum height after 1 seconds
Step-by-step explanation:
Given
[tex]y = -16t^2 + 32t + 4[/tex] --- the function missing from the question
Required
Time to reach maximum height
The time (t) to reach maximum height is calculated using:
[tex]t = -\frac{b}{2a}[/tex]
Where
[tex]y =at^2 + bx + c[/tex]
So, by comparison:
[tex]a = -16[/tex]
[tex]b = 32[/tex]
[tex]c = 4[/tex]
So, we have:
[tex]t = -\frac{b}{2a}[/tex]
[tex]t = -\frac{32}{2*-16}[/tex]
[tex]t = -\frac{32}{-32}[/tex]
[tex]t = \frac{32}{32}[/tex]
[tex]t = 1[/tex]
Help me please if you can't don't touch it
Answer:
The correct answer is A
Step-by-step explanation:
Which of the following best descifrar the graph shown below?
Answer: It's B
Step-by-step explanation:
Every spring the grade four students play the grade five students in softball. The graph shows their scores.
Softball Scores
5
4
Score
2
1
grade 4
grade 5
year 1 year 2 year 3
Year
year 4 year 5
In which year was the difference between the grade four score and the grade five score the greatest?
O A year 1
O B. year 2
Oc. year 3
D. year 4
O E years
Answer:
B
Step-by-step explanation:
4. Temperature graphs from two cities on July 1 are shown below. Which statement is true?
O A. City A experienced a bigger temperature change than City B.
O B. City B experienced a bigger temperature change than City A.
O C. The low temperature in City B was lower than the low temperature in City A.
O D. Both B and C are true.
Answer:
City B experienced a bigger temperature change than City A.
Step-by-step explanation:
From the graph of the temperature given, using visual inspection, we can see how the graph of both cuties change, for city A, the change in temperature, very low as the highest temperature is about 80 and the lowest temperature value is about 76 ;
However. For city B, the highest temperature value is about 100 and the lowest is about 76
Hence, City B experienced a bigger temperature change than A.
For low temperature, the low temperature in city A and B are the same with a value of about 76°
describe the pattern in words
What pattern? Include the pattern please. Thank you.
Words used to describe patterns and arrangements - thesaurus
broken. adjective. a broken pattern or sound has
spaces in it.
candy-striped. adjective. ... checked. adjective. ... checkered. adjective. ... chequered. adjective. ... chronological. adjective. ... criss-cross. adjective. ... dappled. adjective.Hope my answer helps uh ✌️
If 14 people are shorter than Alice, 12 people are taller than Bob, and 4 people are shorter than Alice and taller than Bob, how many people are there?
Answer:
THERE IS A LOT OF PEOPLE
Question
The angles in
triangle are such that one angle is 100 degrees more than the smallest angle, while the third angle is 2 times
as large as the smallest angle. Find the measures of all three angles.
9514 1404 393
Answer:
20°, 120°, 40°
Step-by-step explanation:
Let s represent the smallest angle. Then the largest is (100+s) and the third angle is (2s). The sum of angles in a triangle is 180 degrees, so we have ...
s + (100+s) +(2s) = 180
4s = 80 . . . . . . . . . . subtract 100
s = 20 . . . the smallest angle
100+s = 120 . . . the largest angle
2s = 40 . . . the third angle
The angle measures are 20°, 120°, and 40°.
Chang knows one
sides of this
side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
triangle?
• 5 cm and 8 cm 8
•
6 cm and 7 cm
•
7 cm and 2 cm
®
8 cm and 9 cm
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Answer:
(d) 8 cm and 9 cm
Step-by-step explanation:
The sum of the other two side lengths must exceed 13 cm for a triangle to be possible.
8 cm and 9 cm
who is the president of Uganda
Answer: Yoweri Museveni
☆彡Hannathe data below shows the number of car thefts in a city for a period of 20 days. complete parts (a) and (b) below.
51, 64, 71, 56, 53, 68, 53, 49, 70, 33
64, 53, 79, 65, 55, 46, 80, 76, 73, 74
a. Draw an ordered stem and leaf plot for the data.
Answer:
Kindly check explanation
Step-by-step explanation:
The oederd data :
33, 46, 49, 51, 53, 53, 53, 55, 56, 64, 64, 65, 68, 70, 71, 73, 74, 76, 79, 80
Stem Leaf
3 | 3
4 | 6 9
5 | 1 3 3 3 5 6
6 | 4 4 5 8
7 | 0 1 3 4 6 9
8 | 0
Key :
3 | 3 = 33
aman şego şego...... ....
sego........ ... sego segó
Write the numbers in a standard form:
57,900,000
227,900,000
1,427,000,000
Answer:
madarchud
bhag loudeye bsdk
Write an equation of a line that is parallel to 6x - 2y = -3 and passes through the point (1, 3).
Answer:
Step-by-step explanation:
hope this video link be helpfull to you
HELLLLLLLPPPPPPPPPPPP
Answer:
250
5:15
true
i already helped you
Answer:
9- 4 hours 30 minutes
10- 250
11- False
Which statement is true?
Answer:
second 1
Step-by-step explanation:
i literally just had that question
27 exponent x divided by 3 is equal to one divided by 81.
27 exponent x/3 = 1/81
we can say exponent as power also
(27 power x) × (3 power -1) = 81 power -1
(3 power 3x) × ( 3 power -1) = 3 power -4
IN MULTIPLICATION WHEN BASES ARE SAME THEN POWERS ARE ADDED
3 power 3x + (-1) = 3 power -4
IN AN EQUATION WHEN BASES ARE EQUAL POWERS ALSO EQUAL
3x +(-1) = -4
3x - 1 = -4
3x = -4 + 1
3x = -3
x = -3/3
x = -1
Answer:
x = -1
Step-by-step explanation:
27 exponent x = [tex]27^x[/tex]
Divided by 3 = [tex]\frac{27^x}{3}[/tex]
Is equal to : [tex]\frac{1}{81}[/tex]
Therefore,
[tex]\frac{27^x}{3} = \frac{1}{81}[/tex]
Cross multiplying :
[tex]27^x \times 81 = 1 \times 3[/tex]
[tex]27^x = \frac{3}{81}[/tex]
[tex]27^x = \frac{1}{27}[/tex]
[tex]27^x = 27^{-1}[/tex]
[tex]x = -1[/tex] [tex][a^x = a^y => x = y][/tex]
A poll is given, showing 60% are in favor of a new building project.
If 7 people are chosen at random, what is the probability that exactly 5 of them favor the new building project?
Round this value however you need to.
==================================================
Explanation:
n = 7 = sample sizep = 0.60 = probability of someone being in favork = 5 = number of people in favorWe use the binomial distribution here. The formula for that is
P(k) = (n C k)*(p)^k*(1-p)^(n-k)
where the n C k refers to the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
simply replace r with k.
------------------------------
So,
P(k) = (n C k)*(p)^k*(1-p)^(n-k)
P(5) = (7 C 5)*(0.6)^5*(1-0.6)^(7-5)
P(5) = 21*(0.6)^5*(0.4)^(2)
P(5) = 21*0.07776*0.16
P(5) = 0.2612736
This decimal value is exact (meaning there aren't any other digits after that last '6'). Round this value however you need to.
There's roughly a 26.1% chance of getting exactly 5 people to be in favor of the project.
HELPP PLEASEE!!! FIRST ONE TO ANSWER GETS BRAINLEST!!!!
A square pyramid is shown. What is the surface area of the pyramid? Enter your answer in the box.
4 cm
3 cm
3 cm
cm2
Answer:
33cm squared
Step-by-step explanation:
Answer:
33cm
Step-by-step explanation:
The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1400. If the monthly interest rate is 1.3% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent. Do not use commas to separate numbers or dollar signs. For example, $5,678.00 should be entered as 5678.00.
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Answer:
$1409.10
Step-by-step explanation:
The interest is added to the unpaid balance to obtain the total balance.
$700×1.3% + 1400 = $9.10 +1400 = $1409.10
Trapezoid A B C D is shifted down and to the left to form trapezoid A prime B prime C prime D prime. Trapezoid A prime B prime C prime D prime is rotated 270 degrees about point B.
What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?
a translation down and to the right
a translation up and to the right
a 270° rotation about point B'
a 180° rotation about point B'
Answer:
a 270° rotation about point B'
Answer:
C is correct 270°
Step-by-step explanation:
yuh
If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).
Answer:
(f + g)(x) = 5x + 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2x - 6
g(x) = 3x + 9
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9Combine like terms: (f + g)(x) = 5x + 3use the diagram below to find all the missing angles
Answer: M<1=135 M<2=45 M<3=135 M<4=45
Step-by-step explanation:
witch value of x makes this eqation true -12x-2(x+9)=5(x+4)
Answer:
x = -2
Step-by-step explanation:
answer please answer
Answer:
4 liters
Step-by-step explanation:
8/2 8 divided by 2 is 4 how do I know this, because if its per apple juice then we have to find out what can get me per apple juice, you just basically had to divde it by its own number
Sherrie travels 120 miles in 3 hours. Find the unit rate of speed missing number.
Answer:
The unit rate of speed is 40 miles per hour.
Step-by-step explanation:
Since Sherrie travels 120 miles in 3 hours, to find the unit rate of speed the following calculation must be performed:
3 = 120
1 = X
(1 x 120) / 3 = X
120/3 = X
40 = X
Therefore, the unit rate of speed is 40 miles per hour.
ᴘʟs ʜᴇʟᴘᴘᴘᴘ ᴍᴇᴇᴇᴇᴇᴇ!!
ɴᴏɴsᴇɴsᴇ = ʀᴇᴘᴏʀᴛ
216 in²
Step-by-step explanation:
The above diagram is a rectangular prism, a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that every two opposite side faces are identical.
Hence we can calculate the surface area of the diagram by multiplying the surface areas of the three faces by 2, and adding them together.
= 2(5 x 4.5) + 2(5 x 9) + 2(4.5 x 9)
= 45 + 90 + 81
= 216 in²
What is the approximate surface area of the figure?
A. 101.3 in²
B. 108 in²
C. 202.5 in²
D. 216 in²
Solution:-Since the base of the prism is a rectangle, the perimeter P of the base is 2(9+4.5) or 27 inches. The area of the base is 9•4.5 or 40.5 square inches. The height is 5 cinches.
[tex]\sf{S=Ph+2B}[/tex]
[tex]\sf{ \: \: \: \: =(27•5)+2(4.5)}[/tex]
[tex]\sf{ \: \: \: \: =135+81}[/tex]
[tex]\sf{ \: \: \: \: =\:}{\color{magenta}{216}}[/tex]
Answers:-The surface area of the figure is 216 square inches. So, the correct option is D.
========================#Hope it helps!
(ノ^_^)ノ
What is the length of the diagonal of a rectangle that is 12 inches long and 6 inches wide?
Fill in the table of values so that this is a proportional relationship with k=3/2 X. Y. *blank*. 0 2. *blank*. *blank*. 6. -2. *blank*
Answer:
x => y
0 => 0
2 => 3
4 => 6
-2 => -3
Step-by-step explanation:
The equation of a proportional relationship is represented as y = kx,
where, k = y/x
We are given that k = ³/2
This means that, equation of the relationship therefore would be:
y = ³/2x
Use this equation to solve for each missing value on the table given:
✔️Where, y = 0, substitute y = 0 into y = ³/2x to find x:
0 = ³/2x
0 * 2 = 3x
0 = 3x
0/3 = x
x = 0
✔️Where, x = 2, substitute x = 2 into y = ³/2x to find y:
y = ³/2(2)
y = 3
✔️Where, y = 6, substitute y = 6 into y = ³/2x to find x:
6 = ³/2x
6 * 2 = 3x
12 = 3x
12/3 = x
x = 4
✔️Where, x = -2, substitute x = -2 into y = ³/2x to find y:
y = ³/2(-2)
y = -3