Reasoning:
'a' is less than 0, so we write a < 0
Since a < 0, this means a^4 > 0. Raising a negative to an even exponent will make the result positive. Example: (-2)^4 = 16
Applying the cube root to some positive number leads to some other positive number.
So far we see that the expression a^(4/3) is positive
The final result however is negative because the negative out front flips things from positive to negative.
It turns out it doesn't matter if 'a' is positive or negative. As long as 'a' is nonzero, then -a^(4/3) is negative. If a = 0, then the whole thing is 0.
Evaluate 4 - 2(a2 – b2)2 when a = 3 and b = 2.
Answer:
-46
Step-by-step explanation:
4 - 2(a^2 – b^2)^2 =
= 4 - 2(3^2 – 2^2)^2
= 4 - 2(9 - 4)^2
= 4 - 2(5)^2
= 4 - 2(25)
= 4 - 50
= -46
Answer:
= -46
Step-by-step explanation:
4 - 2(a² - b²)²
= 4 - 2(3² - 2²)²
= 4 - 2(9 - 4)²
= 4 - 2(5)²
= 4 - 2(25)
= 4 - 50
= -46
difference in the abscissa of points A (4,3) and B (-7,2)
Answer:
The difference is 11 units
Step-by-step explanation:
When we talk of the abscissa, we are referring to the x-axis.
So what this question is asking us is the difference between the values of the x-axis
At point A, the value is 4 while at point B, the value here is -7
So the difference between this two would be 4-(-7) = 4 + 7 = 11 units
I’ll give you brainliest!!!!! Answer ASAP!!!! What is the first step in solving the equation?
Answer:
I think it is C. But i'm probably wrong. I had the same thing but i forget it.
Step-by-step explanation:
Hope it helps.
The system of equations and is shown on the graph below. What is a reasonable estimate for the solution? (1.1, –1.9) (–1.9, 1.1) (2.1, –3.9) (–3.9, 2.1)
Answer:
A: (1.1, –1.9)
tell me if im wrong pls.
Answer:
A
Step-by-step explanation:
I took the test
The length of a rectangle is 15 meters more than the width. The perimeter is 50 meters. The width is:
Answer:
5 meters
Step-by-step explanation:
The perimeter of a rectangle can be expressed as 2l+2w.
2l+2w=50
l=w+15
Substitute:
2(w+15)+2w=50
2w+30+2w=50
4w+30=50
4w=20
w=5
Hope this helps!
Please HELP! WILL GIVE BRAINLIEST IF IT PROMPTS ME!
Ahhhh Im losing so many points
Answer:
reflect over line b
counterclockwise rotation about P by 180 degrees
Step-by-step explanation:
reflecting over b will put it in the same place bc b goes down the middle of the rectangle
if you rotate it counterclockwise around p by 180 degrees it would flip it upside down but that doesn't really matter because the length on the top and bottom are equal
Answer:
I would check:
reflect over line b and check
counterclockwise rotation about P by 180 degrees
Step-by-step explanation:
First of all, b is a horizontal line going through the middle. If you reflect across it you will get the same rectangle just backwards but exactly the same position.
If you rotate 180, then you will get the exact same shape just upsides down.
Thanks and please give brainliest have a nice day :)
WILL BE GIVING BRAINLIEST
Answer:
5 1/3
Step-by-step explanation:
16 = 3a
a = 16/3 = 5 1/3
Answer:
5 1/3
Step-by-step explanation:
16 = 3a
a = 16/3
= 5 1/3
Hope this helps!
First gets a brainly :D
Answer:
[tex]47.25\[/tex]
Step-by-step explanation:
[tex]42 \times 1.125[/tex]
[tex]=47.25[/tex]
Answer:
$25.2
Step-by-step explanation:
Which value is NOT equivalent to the other values?
A: 1.5
B: 15%
C: 3/20
D: 0.15
Answer:
A
Step-by-step explanation:
1.5 does not equal 0.15 or the other values.
-30 belongs to what family of real numbers ?
Answer: Irrational numbers
Someone answer ASAP pleaseee
Answer:
1. (4,2) and (-2,-4)
2. (6,3) and (3,-6)
3. (1,8) and (7,-4)
Step-by-step explanation:
I need help ASAP I shall give brainlyist (idk how to spell) figure out how much A cand hold and how much B can hold
Answer:
A) 84.78
B) 42.39
Step-by-step explanation:
A)
[tex]\pi r^2 h= \\\\3.14 \cdot 3^2 \cdot 3= \\\\84.78[/tex]
B)
[tex]\pi r^2 h= \\\\3.14 \cdot 1.5^2 \cdot 6=\\\\42.39[/tex]
Hope this helps!
Help!!! Which of the following best describes abc?
Answer:
Inscribed Angle (A)
Step-by-step explanation:
in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
1. Which point represents a value that is less
than -1 and greater than -5?
A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form
Answer:
500 /3 pi cm^3
Step-by-step explanation:
The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm
That means the radius is
r =d/2 =10/2 = 5 cm
The volume of a sphere is
V = 4/3 pi r^3
= 4/3 pi (5)^3
= 500 /3 pi cm^3
Answer:
Your correct answer is 500/3 cm^3
I will show you how and tell you why it is 500/3 cm^3 down below:
Explanation:
The side length of the cube is 10 cm therefore, the diameter of the sphere is 10 cm so, the radius is 5 cm:
r = d/2 = 10/2 = 5 cm
and right here I will show you the volume of the sphere:
v = 4/3 r^3
= 4/3 (5)^3
= 500/3 cm^3
Showing these results, you can see that the answer is 500 /3 cm^3
May you help please
Answer:
Option A
Step-by-step explanation:
We are given the inequality 4x + 6 [tex]\leq[/tex] 18;
[tex]4x + 6 \leq 18,\\4x \leq 12,\\\\x \leq 12 / 4,\\x \leq 3,\\\\Conclusion - Option A[/tex]
As you can tell, the second step was derived through the subtraction of 6 from either side of the inequality sign. 18 - 6 is 12, which resulted in the simplified inequality [tex]4x \leq 12[/tex]. Dividing 4 on either side, we derived [tex]x \leq 3[/tex], which is Option A
A painter charges 15.40 per hour, plus an additional for the supplies. If he made 188.73 on a job where he worked 7 hours, how much did the supplies cost
Answer:
80.93
Step-by-step explanation:
15.40×7=107.80
188.73-107.80=80.93
what is the ratio 14:56 in its simplest form thx
Answer:
1:4
Step-by-step explanation:
7:28
1:4
Answer:
1:4
Step-by-step explanation:
14:56=
7(2):7(8)=
2:8=
2(1):2(4)=
1:4
Hope this helps!
Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players from the same distributor each month. Because CD World buys 35 more units than the other two stores combined, CD World's cost is only $160 per unit. The players cost Hi-Fi $165 each and Ace $170 each. How many players does each retailer buy each month if the distributor receives $31,750 each month from the sale of the players to the three stores?
Answer:
Ace Electronics buys 30, Hi-Fi Stereo buys 50, and CD World buys 115
Step-by-step explanation:
Let x represent the number of items Ace Electronics buys
Let y represent the number of items Hi-Fi Stereo buys
Let z represent the number of items CD World buys
Since Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players:
x + y + z = 195 (1)
Since CD World buys 35 more units than the other two stores combined:
z = x + y + 35 (2)
If you substitute z in equation 1 from equation 2:
x + y + (x + y + 35) = 195
2(x + y) = 195- 35
x + y = 80 (3)
Since z = x + y + 35:
z = 80 + 35
z = 115
Since CD World's cost is $160 per unit, Hi-Fi 's cost is $165 per unit and Ace Electronics's cost is $170 per unit and the total payment received is $31,750
170x + 165y + 160z = 31750 (Substitute x from equation 3 and z as 115)
170(80-y) + 165y + 160(115) = 31750
13600 - 170y + 165y + 18400 = 31750
32000 - 5y = 31750
5y = 250
y = 50
Since x + y = 80:
x + 50 = 80
x = 30
PLS HELP ILL MARK YOU BRAINLIEST 45 POINT Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form? Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
Answer:
A fourth degree polynomial:
[tex]2x^{4} + 10x^{3} + 21[/tex]
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example
(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18
This demonstrates closure because 11x^2 + 18 is also a polynomial
Step-by-step explanation:
Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form
Part B: Closure property has been proved in the addition of polynomials
What is Polynomial?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Part A
Example of fourth degree polynomial with three terms is
[tex]x^{4}+2x+20[/tex]
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on
Hence, it is a standard form
Part B
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial
Example
(2x+6)+(5x+2)= 7x+8
Hence, the Closure property has been proved in the addition of polynomial
Learn more about Polynomial here
https://brainly.com/question/11536910
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i am thinking of a fraction. The sum of the numerator and denominator is 19. When I add
8 to the denominator, the fraction becomes 1/2 What is the fraction I am thinking of?
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
Let the fraction be [tex]\frac{x}{y}[/tex].
That would mean:
(1) x+y = 19
&
(2) y+8 = 2x or 2x = y+8
In order to use substitution, we multiply equation by 2:
(3) 2x+2y = 38
Then we substitute equation (2) into (3):
y+8 + 2y = 38
3y + 8 = 38
3y = 30
y = 10
Substitute this into equation (1)
x + 10 = 19
x = 9
Therefore the fraction would be:
[tex]\frac{9}{10}[/tex]
Answer:
9/10
Step-by-step explanation:
let the fraction be x/y.
x+y=19
x/y+8=1/2
solve simultaneously
y=2x-8
y=19-x
2x-8=19-x
3x=27
x=9
y=10
Find the value of x the triangle shown below
Answer:
[tex]82[/tex]
Step-by-step explanation:
[tex]24+74+x=180[/tex]
[tex]98+x=180[/tex]
[tex]x=180-98[/tex]
[tex]x=82[/tex]
Answer:
x =82
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees
24+74+x = 180
Combine like terms
98+x = 180
Subtract 98 from each side
98+x-98= 180-98
x =82
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:5/3
Step-by-step explanation:
choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3
Which exspression is equivalent to :
Answer:
C
Step-by-step explanation:
Carlos and his brother each made 72 cookies for the church bake sale. They sold the same amount of cookies each day over a three day period. Between the two of them how many cookies did the boys sell each day? A. 24 B. 48 C. 72 D. 144
Answer:
the answer is 144
Step-by-step explanation:
just add 72+72=144
What is the value of K?
O k = 28
Ok= 29
Ok= 31
Ok = 42
Answer:
k = 29
Step-by-step explanation:
The sum of the two angles is 180 since they form a straight line
5k-3 + 9+k = 180
Combine like terms
6k +6 = 180
Subtract 6 from each side
6k = 174
Divide each side by 6
6k/6 = 174/6
k =29
Answer:
k=29
Step-by-step explanation:
−4x−6=−5y+2 Write a formula for g(x) in terms of x
Answer:
4/5x + 8/5 = g(x)
Step-by-step explanation:
−4x−6=−5y+2
Solve for y
Subtract 2 from each side
−4x−6-2=−5y+2-2
-4x -8 = -5y
Divide each side by -5
-4x/-5 -8/-5 = -5y/-5
4/5x + 8/5 = y
Replace y with g(x)
4/5x + 8/5 = g(x)
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula and solve
Answer:
x= 8, 3
Step-by-Step Explanation:
[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]
[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]
True or false a multiple of 3 must end in 6 or 9
Answer: False
Step-by-step explanation: 18 is a multiple of 3 and doesn't end in 6 or 9.
Answer:
True
Step-by-step explanation:
(3x+8) (4x+10) what is the length
