Answers
Step-by-step explanation:
1)
x⁴×x^a = x¹²
you know that you can add the exponents when multiplying terms with the same base value/variable ?
because that is what we are doing here to solve it :
x^(4 + a) = x¹²
therefore,
4 + a = 12
a = 8
2)
y^b / y⁵ = y²
similar to 1), but when we divide, we subtract the exponents.
y^(b - 5) = y²
b - 5 = 2
b = 7
3)
3^c = 1/27
27 = 3³
27×3^c = 1
3³×3^c = 1
3^(3 + c) = 1
now we need to remember : x⁰ = 1.
therefore, 3⁰ = 1
3^(3 + c) = 3⁰
3 + c = 0
c = -3
4)
(m³)² = m^d
aha !
now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.
m^(3×2) = m^d
3×2 = d
6 = d
5)
7⁰ = e
remember, x⁰ = 1, so also 7⁰ = 1.
therefore, e = 1.
6)
4^-2 × 4⁹ × 4^‐5 = 4^f
so, now we need apply what we just learned to a sequence of operations :
each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :
4^(-2 + 9 - 5) = 4^f
therefore,
f = -2 + 9 - 5 = 2
Answer:
just here 4 points
Step-by-step explanation:
Related Questions
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.
Answers
Answer:
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Step-by-step explanation:
The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Angle B is the linear pairs with 60°,
so the size is 180-60=120°
Angle ABC is the linear pair with 120°,
so the size is 180-120 =60°
Angle A corresponds to angle 60°,
so they are equal
Angle BAC is the linear pair with angle A and angle 70°,
so 180-(60+70) =50°
and, we have,
Angle ACB is 180-(50+60) = 70°
Hence, The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
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If x=5 and y=3 find the value of x+2y
Answers
Answer:
x=5
y=3
then ,
x+2y= 5+2 *3
= 5+6
= 10
Translate sum of 4 and the quotient of n and 9
Answers
Step-by-step explanation:
The quotient of n and 9:
n / 9Sum of 4 and the quotient:
4 + (n/9)If there is 1/4 ounces of yeast in every 2 and 1/4 teaspoons and you need 2 teaspoons how many ounces of yeast is needed
Answers
Answer:
It's probably 1/4
Step-by-step explanation:
Find the perimeter of the rectangle
Answers
Answer:
Perimeter: 4x+14
Step-by-step explanation:
The Formula for perimeter is P = 2L + 2W
So apply it:
L = x+7
W = x
[tex]P=2x+2\left(x+7\right)[/tex]
[tex]P=4x+14[/tex]
Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.
What is the approximate discount on the calculator?
20%
25%
30%
35%
Answers
The approximate percentage discount is equal to 25%.
Given the following data:
Sales price = $68.25.Original price = 89.99To calculate the approximate discount on the calculator:
First of all, we would determine the discount on the calculator by using the following mathematical expression:
[tex]Discount = Original\;price -Sales\;price[/tex]
[tex]Discount = 89.99 -68.25[/tex]
Discount = $21.74
Now, we can calculate the approximate percentage discount:
[tex]Percent\;discount = \frac{21.74}{89.99} \times 100\\\\Percent\;discount = \frac{2174}{89.99}\\\\Percent\;discount = 24.16[/tex]
Percent discount = 25%
Read more: https://brainly.com/question/16068904
1) State the area of the given trapezoid.
5m
5m
8m
4m
A) 20 square meters
B) 26 square meters
C) 32 square meters
D) 40 square meters
Answers
Answer:
B
Step-by-step explanation:
5m+5m8m+4m=24m2 of the primeter
I NEED HELP ON NUMBER 2 PLEASEEEEE
Answers
Answer:
523.5miles
Step-by-step explanation:
Marcus traveled 65mph for 3.5hrs and 74mph for 4hrs. To find his total traveled distance we need to multiply the mph by the number of hours.
65x3.5=227.5mi
74x4=296mi
Add the number of miles together.
227.5+296=523.5miles
Hope this helps :)
if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total
Answers
Answer:
gas barrels = 20,400,000
diesel barrels = 17,400,000
other barrels = 22,200,000
Step-by-step explanation:
Total barrels = 60,000,000
gas = 34% of the barrels
diesel = 29% of the barrels
others = 37% of the barrels 100% - 34% - 29% = 37%
How many of each type of barrels?
60,000,000 × 34% = gas barrels ; 60,000,000 × .34 = 20,400,000
60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000
60,000,000 × 37% = other barrels; 60,000,000 × .37 = 22,200,000
Check: Total barrels 60,000,000 = 60,000,000
if angle a = x+33 and angle d = 2x what is angle a
Answers
The answer must be standard
Home Schoology
d. 42
3. The museum has 35 molecule models. They need
to be packaged 4 to a box. After 8 boxes are
filled, how many models will be left?
a. 3
b. 2
c. 1
d. 0
Which one is the answer
Answers
Step-by-step explanation:
there are 35 in total.
4 go into one box.
so, how many in 8 boxes ?
well, 4×8 = 32
what is the difference between 32 and 35 ?
35 - 32 = 3
so, 3 models are still left.
please help me answer this question!
Answers
Answer:
equation: y = -5/4xslope: -5/4point: (0, 0)Step-by-step explanation:
The slope is found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(0 -(-4)) = -5/4
slope = -5/4
The second point can be used to keep it simple.
point: (0, 0)
Point-slope equation:
y -0 = -5/4(x -0)
y = -5/4x . . . . . . . simplified
What is the answer to 3) 1 + 4x = −5 + 7x
Answers
Answer:
x = 2
Step-by-step explanation:
You subtract the one and carry it over to negative five which makes it negative 6 and it should be
4x = -6+ 7x
Subtract the 7x and carry it over to the 4x
And you should have
-3x=-6
And you divide by the negative 3 and since dividing a negative and negative gets a positive you should get this as your answer
X=2
What is the measure of angle xyz
Answers
Answer:
Step-by-step explanation:
LET:
∠XYW=Y
X,Y and W are the angles of triangle so:
X + Y + W=180
3x+11+Y+5x+1=180
Y=180-12-8x
Y=168-8x
Now ∠XYW and ∠XYZ are the angles of a straight line:
∠XYW+∠XYZ=180
168-8x+12x-20=180
4x+148=180
4x=180-148
4x=32
x=32/4
x=8
Now substitute value of x in Y:
∠(12x-20)=12(8)-20
∠Y=76
The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class?
Answers
Answer:
6.5
Step-by-step explanation:
6 to 9 so 39 divided by 6 and you get 6.5
Answer:
6:9 in-simplified is 23:39
Step-by-step explanation:
So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.
3x-4y=
3x−4y=
\,\,9
9
-5x+4y=
−5x+4y=
\,\,-23
−23
Answers
Answer: (7,3)
Step-by-step explanation:
[Please check]: I decoded the equations as follows:
3x-4y=9 and −5x+4y=-23
We can solve this by either of two methods: Algebra and graphing.
Algebra:
Add the two equations:
3x-4y=9
−5x+4y=-23
-2x = -14
x = 7
Use x=7 to solve for y:
3x-4y=9
3(7)-4y=9
21 -4y = 9
-4y = -12
y = 3
----
The solution is (7,3)
======
Graphing:
See the attached graph. The lines intersect at (7,3)
What is the approximate solution to this?
Answers
x= 1
- x In (6)
6
Which expression has a positive product? 0 4.(-2).0.(-3) 2.(-5). ( 4)( 1) 6. (2).8.(3) 5- (6)-( 3). (3)
Answers
Answer:
(4)(1)6
Step-by-step explanation: It only has all positives and the rest all have one negative so that affects the whole problem and turns them negative.
m = – 3; (2, 2) help pls
Answers
Answer:
try maltpling 3 *2*2
Step-by-step explanation:
Please help I don’t understand this
Answers
Answer:
The area is 24
Step-by-step explanation:
Divide the quadrilateral into 4 triangles (two identical at the top and two identical at the bottom).
Then find the area of each triangle and add it all together
Area of Triangle= (base x height)/2
(3 x 3)/2 + (3 x 3)/2 + (5 x 3)/2 + (5 x 3)/2
this equation gives us 24 as the area
solve pls brainliest
Answers
Answer:
C.
Step-by-step explanation:
It multiplies by 2
Hope I could help!
factories x squared +5x / 6
Answers
Answer:
x(x+5)/6
Step-by-step explanation:
wuts x uwu plssss 10 points
−2/9x+2.7=4
Answers
Answer:
x = -5.85
Step-by-step explanation:
Solve the equation
1) [tex]-\frac{2}{9} x + 2.7 = 4[/tex]
Subtract -2.7 on both sides by doing the inverse operation.
2) [tex]-\frac{2}{9}x = 1.3\\[/tex]
Multiply both sides by -9/2 to cancel out -2/9x, so that you can isolate "x" by itself.
3)[tex]x = -5.85[/tex]
my bibi’sister need a answer she don't know the answer, she need your help
Answers
13. 12008.
14. 59286.
15. 21459.
16. 80478.
17. 130567.
18. 11100.
19. Seventy-two thousand, one hundred eighty.
20. Eighty thousand, seven hundred eighty-six.
Hope This Helps...:)
The age structure of a population is often represented by a pyramid. What does an age structure pyramid with a broad base and a narrow top indicate about a population
Answers
Answer:
The shape of the pyramid does not provide information on population growth
A comic book store is having a sale. You can buy 20 comic books for 35$. What is the cost of 8 books during the sale?
Answers
Answer:
$14
No explanation yet.
Answer:
$14
Step-by-step explanation:
14 dollars
5. A factory produces 1000 cans of juices in 5 days. How many cans will it produce in 15
days?
Answers
Answer:
3000
Step-by-step explanation:
Α. y- 2 = 2(x- 3)
Β. y- 3 = 2(x- 2)
C. y- 1 = 2(x- 9)
D. y- 9 = 2(x-1)
Answers
Answer:
c.
Step-by-step explanation:
The density of silver is 9 g/ cm3ale members of a sports club is 7 : 3. The total number of members of the group is 250. How many members are female? How many members are male?
Answers
Answer:
648
Step-by-step explanation:
2=2
Please help!
Find the difference quotient (f(x + h) - f(x))/h where h ne0 , for the function below . f(x) = 2x ^ 2 - 9 Simplify your answer as much as possible .
Answers
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
In this exercise we must apply the definition of derivative, which is described below:
[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)
If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:
[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]
[tex]f'(x) = 4\cdot x[/tex]
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
We kindly invite to check this question on derivatives: https://brainly.com/question/23847661