Answer:
13 and 91
Step-by-step explanation:
(a + b)² = a² + 2ab + b² , substitute values
7² = a² + 2(12) + b²
49 = a² + 24 + b² ( subtract 24 from both sides )
25 = a² + b²
Then
a² - ab + b²
= a² + b² - ab , substitute values
= 25 - 12
= 13
-------------------------------------------
a³ + b³ = (a + b)(a² - ab + b²) ← substitute values
a³ + b³ = 7 × 13 = 91
3x3x8x8x8x8 in EXPONENTIAL FORM!
x = multiplication sign, not variable!
Answer:
192^2
Step-by-step explanation:
[tex]\sqrt{3*3*8*8*8*8} = \sqrt {36864} = 192^2[/tex]
Hope you enjoy :)
Select the correct answer.
y
4
8
6
4
2
X
-8
-
- 2
6
8
2
4
-6-
-8
What is the domain of the function graphed above?
OA.
S71
12]
OB.00 < < 0
OC. 2
OD. -10 < x < 10
Answer:
The answer is B because it's all real numbers since it won't stop
Step-by-step explanation:
The domain of the function shown is -∞ ≤ x ≤ +∞
What is the domain of a function?The domain and range are the main characters of a function. The domain of a function is the inputs of the given function on the other hand the range signifies the possible outputs we can have.
Given is a graph we need to determine its domain,
We know,
The domain of a function represents the set of coordinates in the x-axis that belongs to the curve of the function itself. After a brief inspection, we see that function has an horizontal asymptote at y = 1, and no vertical asymptotes. Therefore, the domain of the function shown is -∞ ≤ x ≤ +∞.
Hence, the domain of the function shown is -∞ ≤ x ≤ +∞
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The diagram shows a square with side length 5cm.
The length of the diagonal is y cm.
Find the exact value of y.
Answer:
5sqrt2
Step-by-step explanation:
Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.
Find the circumference
please help :)
Answer:
Step-by-step explanation:
circumference = [tex]\pi[/tex]* diameter
circ = 3 * 32
circ = 96
Please help……………………….
Let’s start with the easy part: half of the base is 3.
Therefore, 3 x h + 1 = 18
3 x h = 3h and 3 x 1 = 3
3h + 3 = 18
To solve these equations, you have to do the inverse. First you would need to minus 3:
3h = 15
3h is a simpler way of saying 3 x h, so the inverse would be a divide.
h = 5
David has 4 cages of hamsters. The second cage has 1/2 as many hamsters as the first. The third cage has 1/2 as many hamsters as the second. The fourth cage has 1/2 as many hamsters as the third. What are the fewest hamsters David can have?
Answer:
Lets reverse it
The 4th cage can have minimum 1 hamster
The 3rd cage can have minimum 2 hamster
The 2nd cage can have minimum 4 hamster
The 1st cage can have minimum 8 hamster
David has 15hamsters
Brainliest please
The fewest hamsters David can have are 15
What is Number system?A number system is defined as a system of writing to express numbers.
Given that David has 4 cages of hamsters.
The second cage has 1/2 as many hamsters as the first.
The third cage has 1/2 as many hamsters as the second.
The fourth cage has 1/2 as many hamsters as the third.
Let the first cage has n number of hamsters
the first cage has n/2 number of hamsters
the second cage has n/4 number of hamsters
the third cage has n/8 number of hamsters
the third cage has n/16 number of hamsters
4=n+n/2+n/4+n/8+n/16
n=15
Hence, the fewest hamsters David can have are 15
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One way to test for one to one functions is to...
Group of answer choices :
restrict the function's domain.
put the equation into the quadratic formula.
perform a horizontal line test.
perform a vertical line test.
Answer:
Perform a horizontal line test
A triangle has an area of 10 square feet. The height is 10 feet. What is the length of the base (in feet)?
Answer:
2 feet
Step-by-step explanation:
for area of a triangle it's (height times width) divided by 2, and 10 times 2 divided by 2 is 10
Answer:
Length of base of triangle = 2 feet
Step-by-step explanation:
Given:
Area of triangle = 10 square feet
Height of triangle = 10 feet
FInd
Length of base of triangle
Computation:
⇒ Area of triangle = (1/2)(Base)(Height)
⇒ 10 = (1/2)(Base)(10)
⇒ 10 = Base(5)
⇒ Length of base of triangle = 10 / 5
Length of base of triangle = 2 feet
a triangle with 2 equal sides is called
Answer:
isosceles triangle.
Step-by-step explanation:
Answer:
Isosceles triangle
Step-by-step explanation:
In isosceles triangle, two sides are equal and the angles opposite to these equal angles are also equal. The third side of the triangle is called base
The area of a triangle is one-half times the base times the height. If the area of a
triangle is 54 sq. in, and its height is 12 in., what is the base????
I rlly need answer haha
Answer:
The base is 90 sq
Step-by-step explanation:
Formula for Area= 1/2*b*h
where b is unknown and area = 54sq
Placing in formula1/2 *b*12 = 54sq
12b = 54*2
12b /12 = 54*2/12
b = 9sq
At the end of a game, Fran had 14 points and Calvin had -22 points. How many points did Fran win? A: -36 B: 8 C: -8 D: 36
Answer:
36
Step-by-step explanation:
Number of points Fran won = points Fran had - points Calvin had
14 - (-22)
= 14 + 22
= 36
please help!! 10 points! Need 2 and 5 answered!
Answer:
2. given
5. substitution
Step-by-step explanation:
that the perimeter is 12 is simply a given fact. in the same way as the shape of the object is defined as square.
nothing was calculated, this information is simply there at the beginning, is "given" to us.
step 5 simply takes step 3 and substitutes all sides by the same side, as (per definition) all sides in a square are equal. so, every side can stand in for every other side.
HELP
Line CD passes through points C(3, -5) and D(6,0). What is the equation of line CD in standard form?
60
O 5x + 3y = 18
O 5x - 3y = 30
O 5x - y = 30
O 5x + y = 18
Answer:
Hello the answer is 5x - y = 30!
Step-by-step explanation:
m = (0 (-5))/(6 - 3) = (0 + 5)/(3) = 5/3
y = mx + b
O = (5/3)(6) + b
O = (30/3) + b
O = 10 + b
-10 = b
3y = 5x - 30
3y + 30 = 5x
5x - 3y = 30
Which of the following best describes the pattern in the diagram as you move
from the top to the bottom row?
1
2
3
A. Row 7 will contain 10 circles.
ООО
B. Each row increases by 1 circle.
O C. Each row increases by 2 circles.
o
D. Row 9 will contain 12 circles.
Answer:
B
Step-by-step explanation:
20
f(x)
g(x)
The tables given are for the linear functions f(x) and
g(x). What is the input value for which f(x) = g(x) is true?
x -2
-2
X=
3
4
-1
3
-1
3
0
3
0
2.
1
3
1
1
N
3
N
0
3
3
3
-1
Answer:
1 is the wrong answer i dont know the answer plz help him
Instructions: Find the missing side. Round your answer to the nearest
tenth.
30
48°
х
х
=
Answer:
x = 44.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 48 = 30/x
x cos 48 = 30
x = 30 / cos 48
x=44.83429
Rounding to the nearest tenth
x = 44.8
Contagious diseases can spread quickly. Suppose 3 people are ill during the first week of an epidemic, and each
person who is ill spreads the disease to five people by the end of the next week. By the end of the 8th week of
the epidemic, how many people have become ill?
OA) 292,968 people
OB) 392,978 people
Answer:
392,978 people is correct
Step-by-step explanation: i am a college math teiacher i work at steve harvard
find the midpoint between this pair of points (-4,10) and (14,0)
Explanation:
The x coordinates are -4 and 14. They add up to -4+14 = 10. Then this cuts in half to get 10/2 = 5. This is the x coordinate of the midpoint.
We'll follow this same idea for the y coordinates as well.
10+0 = 10 which cuts in half to 10/2 = 5, and this is the y coordinate of the midpoint.
Therefore, the midpoint is (5,5).
Coincidentally, the x and y coordinates are the same for the midpoint (both are 5). This won't always happen.
Simplify The Equation
Answer:
5
Step-by-step explanation:
5 ^ 1/3 * 25 ^ 1/3
Rewriting 25 and 5^2
5 ^ 1/3 * 5^2 ^ 1/3
We know that a^b^c = a^ (b*c)
5 ^ 1/3 * 5^ 2/3
We know a^b * a^c = a^(b+c)
5^ ( 1/3 + 2/3)
5^1
5
Using your knowledge of common Pythagorean triples , find the hypotenuse in a triangle with shorter side lengths 25 units and 60
units.
The triple is a multiple of a common primitive Pythagorean triple. Which one?
A. (5,12,13)
B. (8,15,17)
C. (3,4,5)
D. (7,24,25)
Answer: A
Step-by-step explanation:
8y-(-9.3z+9) how do i do this
Melissa asked 10 students how many courses they have taken so far at her college. Here is the list of answers.
10, 26, 8, 22, 16, 23, 20, 8, 13, 18
What is the percentage of these students who have taken fewer than 15 courses?
Answer:
Step-by-step explanation:
The question has asked who has taken fewer than 15 courses
There are 4 options that are fewer than 15: 10, 8, 8, 13
4/10 (10 is total number of options/students)
To find the percentage you...
Which parabola(s) have an axis of symmetry of x = -1
Answer:
b,c
Step-by-step explanation:
The axis of symmetry is along the vertex
a has a vertex at x=1
b has a vertex at x = -1
c has a vertex at x=-1
d has a vertex at x =2
Explanation:
Notice how the vertical line through the center of these parabolas is at x = -1. In other words, the vertical line cuts through -1 on the x axis. Reflecting one half of the parabola over this line will result in the other half.
justificantion for x=8/15
as according to law if a number is multiplied at one side then it will be divide to other side
so
x=8/15Step-by-step explanation:
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I am getting an amazing offer of 50% +50% discount. How much i have to pay for the shoes priced Rs. 6500? Explain Your Answer.
Answer:
1625
6500 * .5 * .5 =
6500 * .25 = 1625
Step-by-step explanation:
What is the nth term for 2 3 5 13
this is a number is can not devide
Estimate the answer to
(5.9 x 10^4) x (9.8 x 10^5)
Give your answer in standard form.
Answer:
5•782×10^-5
Step-by-step explanation:
(5•9×10^4((9•8×10^5)
(59×10^-1×10^4)×(98×10^-1×10^5)
(59×98) (10^-1×10×4×10-1×10^5)
5782×10^-1+^4+^-1+^5
578×10^7
5•782×10^7-^2
5•782×10^-5
Thanks Hope It Help
What is the surface area of the cylinder with height 4 km and radius 2 km? Round
your answer to the nearest thousandth.
Answer:
75.398
Step-by-step explanation:
Surface area,
2πr²+2πrh
= 2π×2²+2π×2×4
= 75.3982237..
= 75.398 (rounded to the nearest hundredth)
A delivery truck driver work shift is between 4 - 6 hours (240 - 360 minutes). It takes
the driver 45 minutes to load the truck and an average of 15 minutes per stop to deliver the packages. How many stops on average can he deliver packages during his shift 2
(Plz help)
Answer:
You are good on it
Step-by-step explanation:
Woplor
I NEEDDDD HELPPPP ITS URGENTTTT!!!!
