Answer:
Options (a), (b), (e)
Step-by-step explanation:
a). [tex]\frac{5^{10}}{5^{8}}=5^{10-8}[/tex]
= 5²
True.
b). (4⁸)³ = [tex]4^{8}\times 4^8\times 4^8[/tex]
= [tex]4^{24}[/tex] [Since, [tex]x^{a}\times x^{b}\times x^c=x^{a+b+c}[/tex]]
True.
c). [tex]10^{-4}=\frac{1}{10^4}[/tex]
And [tex]\frac{1}{4^{10}}\neq \frac{1}{10^4}[/tex]
False.
d). [tex]15^{6}\times 15^{3}=15^{6+3}[/tex] [Since, [tex]x^{a}\times x^{b}=x^{a+b}[/tex]]
= 15⁹
And [tex]15^{9}\neq 15^{18}[/tex]
False.
e). [tex](6^{8})^{0}=1[/tex] [Since, a⁰ = 1]
True.
Which three expressions in the table below have a solution of 10 when
x = -1 and y = 2
Answer:
The expressions are;
-5(x)(y)
8-y/x
Step-by-step explanation:
Here, we want to select expressions on the table having a solution of 10, given the value of x and y
For ;
-x(10) = -1(10) = -10
x + y + 7
-1 +2 + 7 = 8
8 -y/x = 8-(2/-1) = 8 + 2 = 10
-5(x)(y)
= -5(-1)(2) = 10
16-x + y - 7
16-(-1) + 2 - 7
16 + 1 + 2 - 7 = 12
A+(-5)=-9
Solve the equation for the value of the variable show all work can someone help me
Answer:
A=-4
Step-by-step explanation:
A-5=9
A-5+5=-9+5
Then simplify and you get A=-4
Answer:
A=-4
Step-by-step explanation:
A+(-5)=-9
A-5=-9
A=-9+5
A=-4
Help please????????????
Given angle m ROS = 89°, the angle would be classified as:
O Acute
O Right
O Obtuse
O Straight
Answer:
Step-by-step explanation: Acute
Answer:
Step-by-step explanation:
acute
If sin3A=-root 3 / 2 , find the values of A where 0 degrees is greater to or equal than A is greater to or equal than 360 degrees
Answer:
A is 20°
Step-by-step explanation:
Given sin3A = (√(3))/2. To find A we firstly take the sin^-1 of both sides and we have:
3A = sin^-1(√(3)/2)
We know that sin60° = √(3)/2. Therefore, sin^-1(√(3)/2) = 60°. Hence, we have
3A = 60°.
To get A, divide both sides by 3:
.A = 20°. Therefore, A is 20°.
Carmen has a recipe that requires 1 and 1/2 cups of flower. He has 7 and 1/2 cups of flour in the pantry. What is the maximum number of times Carmen can make this recipe?
Answer:
B
Step-by-step explanation:
55
The maximum number of times the Carmen can make the recipe will be equal to 5 times.
What is arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
Flower cups required for the recipe = 1 1/2 = 3/2 = 1.5 cups
Total flower cups available = 7 1/2 = 15/2 = 7.5 cups
Then, the number of times he can man the recipe is,
= 7.5 / 1.5 = 5 times.
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Someone please solve x for me
Answer:
x = 20
Step-by-step explanation:
added together, the angles make 180
3x + 80 + 2x = 180
subtract 80 from both sides of the equation
3x + 80 - 80 + 2x = 180 - 80
combine like terms
5x = 100
divide both sides by 5
5x/5 = 100/5
x = 20
Answer:
x = 20
Step-by-step explanation:
added together, the angles make 180
3x + 80 + 2x = 180
subtract 80 from both sides of the equation
3x + 80 - 80 + 2x = 180 - 80
combine like terms
5 x = 100
divide both sides by 5
5x/5 = 100/5
x = 20
what is equal to 3/6 (who ever answers first gets to be the brainliest <3) BTW THIS IS MATH!!
The factor tree for 1,764 is shown.
What is the simplest form of 1,764?
1,764
21
42
32(72)
22(32)(72)
882
441
9
49
3
3
7
The requried simplest form of 1764 is given as (42)², as per the given condition.
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
The factor tree for 1,764 is:
1,764 ÷ 2 = 882
882 ÷ 2 = 441
441 ÷ 3 = 147
147 ÷ 3 = 49
49 ÷ 7 = 7
So, the prime factorization of 1,764 is 2 × 2 × 3 × 3 × 7 × 7 = 2² × 3² × 7².
The simplest form of 1,764 is 2² × 3² × 7²,
which can also be written as (2 × 3 × 7)² = (42)² = 1,764.
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Factor the following polynomial completely x2 - 3x - 10
Answer:
the answer is (x-5) (x+2)
There were 160 people who voted at the town council meeting. Of these people, 60% voted for building a new basketball court in the park.
How many people voted against building the new basketball court? Complete the explanation of how to find the answer.
60% of 160 equals___ and 160 −___ = ___.
There are___ people that are against building the basketball court.
Answer:
160/100 X 60 = 96
160 - 96 = 64
there are 64 people against.
Melanie saves $20 every month in her savings account. She withdrew $60 one time to go shopping. She now has $280 in her account. Which equation represents this situation?
20m/60 = 280
20m/60 = 280
20m + 60 = 280
20m + 60 = 280
20m - 60 = 280
20m - 60 = 280
20m (60) - 280
Answer:
20m - 60 = 280
Step-by-step explanation:
please help me please will give brainliest to anyone who is good
Answer:
D
As temperature increases, so does mpg meaning better milage in warmer temperatures
Please help me with this homework
Answer:
The first one is not linear equation and the second one is linear equation but I am not sure about the second one
Step-by-step explanation:
Linear equation has constant slope but non linear equation has vary slope
Select the number line that shows that two opposite numbers have a sun of 0
Answer:
Line A
-3+3=0
Step-by-step explanation:
Determine the slope of
the line between each
pair of points.
1. (0, 10) and (3, 12)
Answer:
(1.5, 11)
Step-by-step explanation:
please look at the attachment below (': i feel so d\/mb right now
Answer:
probably the bottom left because it would be equal
Step-by-step explanation:
I hope this helps and you are not d.u.m.b, we just have those days sometimes. lol and this isn't really that easy.
For Exercises 8-10, use trapezoid DEFG with EG = 21 ft and m DGF = 77 to find each measure.
8. ED =
9. DF =
10. m<DEF=
Answer:
what class is this ???
Step-by-step explanation:
The value of each measure are,
8. ED = 16 ft
9. DF = 21 ft
10. m ∠DEF = 103°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
In trapezoid DEFG,
⇒ EG = 21 ft and m ∠DGF = 77°
Now, We know that;
In trapezoid, The sum of the angles on the same side is equal to 180°.
Hence, We get;
⇒ ∠ DGF = ∠ GDE = 77°
And, We get;
⇒ ∠ DEF + ∠ EDG = 180°
⇒ 77° + ∠ DEF = 180°
⇒ ∠ DEF = 180° - 77°
⇒ ∠ DEF = 103°
Since, In trapezoid opposite non parallel line are equal in length.
Hence, We get;
⇒ ED = FG
⇒ ED = 8 + 8
⇒ ED = 16
In trapezoid, Diagonal are equal in length.
Hence, We get;
⇒ DF = EG
⇒ DF = 21 ft
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(PLS HELP ITS EASY) which of the following is a solution to the system of equations shown below?
1 x=10 and y=21. 2x+3y=83
2 x=7 and y=23. y=2x+9
3 x= -4 and y=1
4 x=4 and y=25
Answer:
A solution of the system of equation given in the question is;
(2) x = 7 and y = 23
Step-by-step explanation:
The given system of equation are;
2·x + 3·y = 83...(1)
y = 2·x + 9...(2)
Substituting the value of y = 2·x + 9 from equation (2) into equation (1) gives;
2·x + 3·y = 2·x + 3 × (2·x + 9) = 83
∴ 2·x + 6·x + 27 = 83
8·x = 83 - 27 = 56
x = 56/8 = 7
x = 7
By substituting the value of x = 7 derived above into equation (1), we have;
y = 2·x + 9
Where;
x = 7
y = 2 × 7 + 9 = 14 + 9 = 23
y = 23.
15=.19(x)+3.78
would you mind giving an explanation? I really need to understand this. thanks!
Answer:
0.59
Step-by-step explanation:
first you have to find x, you do that by getting x by its self. when you do this you do the opposite arithmetic (equation sign like - or +) on both sides of the equal sign. for example since its plus 3.78 you have to subtract 3.78 on both sides of the equal sign, so on so on till you are left with only x on one side of the equal sign
How do I solve this question?
On a unit circle, the terminal point of Ø is (1/2, square root 3/2), what is the cos Ø?
A. 1/2
B. Square root 3/3
C. Square root 3/2
D. Square root 3
The cosine of Ø is: [tex]\frac{1}{2}[/tex]
The ordered pair of a unit circle is represented as:
[tex](x,y) \to (\cos(\theta),\sin(\theta))[/tex]
The given parameters can be represented as:
[tex](x,y) \to (\frac{1}{2},\frac{\sqrt 3}{2})[/tex]
Recall that:
[tex](x,y) \to (\cos(\theta),\sin(\theta))[/tex]
Compare the above representation to:
[tex](x,y) \to (\frac{1}{2},\frac{\sqrt 3}{2})[/tex]
This means:
[tex]\cos(\theta) = \frac{1}{2}[/tex] and [tex]\sin(\theta) = \frac{\sqrt 3}{2}[/tex]
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If Jessica earns 2000$ a month. How long would it take Jessica to earn 23,000?
Answer:
11.5 months
Step-by-step explanation:
All you have to do is divide 23,000 by 2,000
545,00000952 your welcome :)
Preston works at a grocery store and earns between $64 and $81 each day he works. Which is a reasonable estimation of how much Preston will earn if he works 5 days?
Answer:
[tex]P=\$362.5[/tex]
Step-by-step explanation:
From the question we are told that
Preston Earns \triangle x=$64-$81
Number of days D=5 days
Generally the average amount of money made by Preston is given by
[tex]X_a_v_g=\frac{64+81}{2}[/tex]
[tex]X_a_v_g=\$72.5[/tex]
Generally a reasonable estimation of how much Preston will earn if he works 5 days P is mathematically given by
[tex]P=72.5*5[/tex]
[tex]P=\$362.5[/tex]
geometry:(
*image shown above*
Answer:
m perpendicular = − 3 /4
please help asap
What is the y-coordinate of the solution to the system of linear equations below?
4x + 5y = 8
2x - 3y = -18
In In 1/2 an hour, Jeffrey walked 3/4 of a mile how many miles would Jeffrey walk in one hour
Answer:
1 2/4
Step-by-step explanation:
x2
If p(x) = 2x - 5 and r(x) = 3x + 4, calculate (pr)(x).
A 6x2 - 7x - 20
B 6x² +7X-20
C 5x - 1
D 6x2 - 20
Answer:
A) 6 x² - 7x - 20
Step-by-step explanation:
Explanation:-
Given p(x) = 2 x-5 and r (x) = 3 x +4
(pr)(x) = p(x) r(x)
= (2x -5)( 3 x +4)
= 2x(3x +4) -5( 3x +4)
= 6 x² + 8x - 15 x - 20
= 6 x² - 7x - 20
(pr)(x) = 6 x² - 7x - 20
do these ordered pairs satisfy a linear function? explain (1,-5),(1,0)(1,5)(1,10)
Answer:
Yes, because the x-coordinate does not change. It would be a vertical, linear solution.
x + 4y = 7
4x – 3y = 9
Answer
{3,1}
Explaination
3 +4=7[1] x = -4y + 7
// Plug this in for variable x in equation [2]
[2] 4•(-4y+7) - 3y = 9
[2] - 19y = -19
// Solve equation [2] for the variable y
[2] 19y = 19
[2] y = 1
// By now we know this much :
x = -4y+7
y = 1
// Use the y value to solve for x
x = -4(1)+7 = 3
Solution :
{x,y} = {3,1}