Answer:
a = 3 b = 5 c = 14 d = 34 e = 30
Step-by-step explanation:
The number of times larger is solved by the exponents
What are the laws of exponents?
When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
From the laws of exponents , mᵃ×mᵇ = mᵃ⁺ᵇ
a)
3⁴ = 3 x 3³
So , it is 3 times larger
b)
5³ = 5 x 5²
So , it is 5 times larger
c)
7¹⁰ = 7² x 7⁸
So , it is 7² or 49 times larger
d)
17⁶ = 17² x 17¹⁴
So , it is 17² or 289 times larger
e)
5¹⁰ = 5⁶ x 5⁴
So , it is 5⁶ times larger
Hence , the exponents are solved
To learn more about exponents click :
https://brainly.com/question/28966438
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NEED HELP ASAP
Which is a different way to express 5r?
5+r
2r+3r
r5
3r⋅2r
Answer:
2r+3r
Step-by-step explanation:
even though r5 looks correct, you always have to put the varible on the right side of a number. 2r+3r is correct because if you combine like terms, you get 5r
what is 2 to the tenth power
Answer:
1024
Step-by-step explanation:
2•2•2•2•2•2•2•2•2•2
1024
Jack had four bags of M&M's and eight Reese's cups. He randomly chose a piece of candy, ate it, then chose another. What is the probability that both pieces of candy were Reese's cups. Show work.
please help me!!!
https://mee t.go ogle.co m/o yi- ta km- tes
Please help brainliest !!!!!!!!!
Answer:
Airplane A has the greater median flight length
Airplane A has a greater range
Airplane B has a greater spread
Answer:
4) A
A = 210B = 204210 > 2045) B
A = 234 - 200 = 34B = 235 - 180 = 55B > A6) B
Both greater range and greater IQRWhich is a perfect square?
6^1
6^2
6^3
6^5
Answer:
6^2
Step-by-step explanation:
6^2 because,
6^1 is not a perfect square because 6 is its own number because 6 x 1 =6 Therefore being eliminated.
6^3 is not a perfect square because 6 x 6 x 6 (216) is cubed not square
*This one almost tricked me*
6^5 is not a perfect square because 6 x 6 x 6 x 6 x 6 (7776) it isn't an equal factor combination, that when multiplied together, produce the number 7,776. That means 7,776 is not a perfect square.
6^2 is a perfect square because 6x6= 36 and 36 is a perfect square.
Therefore, its 6^2
(This is my 100th question answered!)
Hope this helps have a nice day!
What is 6% equivalent to
Answer: 0.06, 6/100, 3/50
Step-by-step explanation:
Which of the following statements is true?
Given:
A figure of a circle.
To find:
The correct statement for the given figure.
Solution:
According to the tangent secant theorem, if two tangents or two secants are drawn to the circle from an exterior point, then the measure of angle between the tangents or secants is:
[tex]\text{Exterior angle}=\dfrac{1}{2}(\text{Difference between intercepted arcs})[/tex]
[tex]\text{Exterior angle}=\dfrac{1}{2}(\text{Larger arc - smaller arc})[/tex]
In the given figure, the exterior angle is 32 degrees, larger arc is QAI and smaller arc is QI.
[tex]32^\circ=\dfrac{1}{2}(m(arcQAI)-m(arcQI))[/tex]
Therefore, the correct option is C.
a two-digit number is equal to 8 times the sum of its digits
will mark brainlist POINTSSSSS HELPPP
What 2-dimensional shapes do you see when you look at the Triangular Prism? Choose ALL that you see.
Squares
Rectangles
Triangles
Hexagons
Pentagons
Trapezoids
Answer:
rectangles triangles trapizoids
Step-by-step explanation:
rectangles triangles trapizoids
Can Someone Please Help With This Exponential Regression Question?
Answer:
Year(x) Predicted (ym) Residual(yd - ym)
1 39 0.135
2 49 -1.097
3 66 1.426
4 84 0.764
5 106 -1.292
Step-by-step explanation:
The formula for predicted (y_m) is given by the function;
f(x) = 30.151(1.289)^(x)
At x = 1;
y_m = 30.151(1.289)^(1)
y_m = 38.865
y_d - y_m = 39 - 38.865 = 0.135
At x = 2;
y_m = 30.151(1.289)^(2)
y_m = 50.097
y_d - y_m = 49 - 50.097 = -1.097
At x = 3;
y_m = 30.151(1.289)^(3)
y_m = 64.574
y_d - y_m = 66 - 64.574 = 1.426
At x = 4;
y_m = 30.151(1.289)^(4)
y_m = 83.236
y_d - y_m = 84 - 83.236 = 0.764
At x = 5;
y_m = 30.151(1.289)^(5)
y_m = 107.292
y_d - y_m = 106 - 107.292 = -1.292
PLEASE HELP!!! WILL MARK BRAINLIEST!!!
Answer:
there is no question
Step-by-step explanation:
edit ur question
Select the correct answer.
The table of values represents function h.
х
-1
0
1
2
3
h(x)
5
2
1
2.
5
10
What is the y-intercept of function h?
O A. (4,10)
OB.
(0,0)
OC. (0,2)
D. (2,2)
Answer: C (0,2)
Step-by-step explanation: Y intercept is when the x value is equal to 0. Find the value in the table where the x value is 0 and then look at the h(x) value or the y value to find the answer. In this case the point where x=0 h(x) = 2.
Answer:
hey
the answer is
C
Step-by-step explanation:
$
$
2
The parent function of a quadratic, f(x) = x is reflected across the
2
x-axis, vertically compressed by a factor of 3, translated 8 units left
and 16 units up. Write the equation of the transformed quadratic
function, g(x), in vertex form.
g(x) =
² x 160 qx x ✓
Answer:q = - 9 and r = - 10
Step-by-step explanation:
since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12
q + r + 7 = - 12 ( subtract 7 from both sides )
q + r = - 19 → (1)
Since (x - 3) is a factor of g(x), then
g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is
108 + 9q + 3r + 3 = 0
9q + 3r + 111 = 0 ( subtract 111 from both sides )
9q + 3r = - 111 → (2)
The 2 equations to be solved simultaneously are (1) and (2)
Multiply (1) by - 3
- 3q - 3r = 57 → (3)
Add (2) and (3) term by term to eliminate r
6q = - 54 ( divide both sides by 6 )
q = - 9
Substitute q = - 9 into (1)
- 9 + r = - 19 ( add 9 to both sides )
r = - 10
Hope the helps!!! ❤️
need help po thank you
Answer:
a) P
b) NP
c) P
d) p
e) p
1.30,35,40. add 5
2. 4,0,-4. take 4
3. -8,-10,-12. add -2
Find the values of a and b given that the polynomial P(x) = x^3+ ax^2 +x+b, is divisible by
both x-1 and x + 3.
Answer:
a=4
b=-6
Step-by-step explanation:
If P(x) is divisible by x-c, then P(c)=0.
So P(1)=0 implies 1^3+a1^2+1+b=0
and
P(-3)=0 implies (-3)^2+a(-3)^2+-3+b=0
So notice we have a system to solve.
Let's simply it.
First equation:
1^3+a1^2+1+b=0
1+a+1+b=0
2+a+b=0
a+b=-2
Second equation:
(-3)^3+a(-3)^2+-3+b=0
-27+9a-3+b=0
9a+b-30=0
9a+b=30
Let's put our system together:
a+b=-2
9a+b=30
This is setup so if we subtract the equations b will eliminate allowing us to solve for a:
-8a=-32
a=4
If a=4 and a+b=-2, then 4+b=-2 giving us b=-6.
a=4
b=-6
A soup recipe uses noodles, cheese, and potatoes in the extended ratio 4:5:7. How many cups of cheese are needed to make 192 cups of soup?
Answer: 60 cups of cheese
Step-by-step explanation:
noodles:cheese:potatoes
4:5:7
192 total cups of soup
each unit of recipe is 4+5+7=16
so divide total cups of soup by one recipe unit
192/16=12
This means 12 recipe units were used. So each value from ratio 12 times...
4:5:7 = one unit of soup (16 cups)
48:60:84 = 12 units of soup (192 cups)
So 60 cups of cheese are needed for 192 cups of soup.
Please help!!!!!!!
I’ll give you brainliest!!!!
Answer:
C
why does it say a minimum of 20 words
Hey can you please help me fast!!
Answer:
- 3/5
Positive
Step-by-step explanation:
when plotting on a number line, you will start with the first term listed in the equation, in this case it is -3/5
then, if the next term is positive, you will move to the right (aka positive direction), but if the next term is negative then you will move to the left (aka negative direction)
in this question, the next term is positive, so you will move in the positive direction
Is matthew drank 4 more glasses of water than nicole an equation or expression
Answer:
m = n+4
m = Matthew
N = Nicole
Step-by-step explanation:
Charlie walked a distance of 500 meters to school. It took him 5 minutes to arrive at school from home. What is his average speed
Answer:
100 meters per minute
Step-by-step explanation:
Find his average speed by dividing the distance he walked by the number of minutes it took him:
500/5
= 100
So, his average speed was 100 meters per minute
-8(9+6y) I need to simplify it but I need steps
Answer:
-8(9+6y)
-8 x 9=-72
-8 x 6y= -48y
-72 +-48y
hope this helps
have a good day :)
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{-8(9 + 6y)}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{-8(9 + 6y)}[/tex]
[tex]\mathsf{= -8(9) - 8(6y)}[/tex]
[tex]\mathsf{= 72 - 48y}[/tex]
[tex]\mathsf{-48y - 72}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{-48y - 72}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]A department store buys 400 shirts at a cost of $7,200 and sells them at a selling price of $20 each. Find the percent markup.
The percent markup is what. (Round to the nearest whole number as needed.)
Answer: good luck
Step-by-step explanation:
Answer:
The answer is 11%
Step-by-step explanation:
i know i know no need to thank me
I NEED HELP NOW LIKE RIGHT NOW
Answer:
Hey! Answer: F
Step-by-step explanation:
13.5 ÷ 9= 1.5
18 ÷ 12 = 1.5
So our pattern is to enlarge/multiply it by 1.5
So 1.5 x 15 = 22.5
So F is our answer!
A regular hexagon is inscribed in a circle with a diameter of 8 inches.
a. What is the perimeter of the hexagon?
b. What is the area of the hexagon?
Step by step please!!!
Answer:
b) 41.6 square inches
Step-by-step explanation:
A regular hexagon is inscribed in a circle with a diameter of 8 inches.
Step 1
We find the radius
Radius = Diameter/2
= 8 inches/2 = 4 inches
a. What is the perimeter of the hexagon?
b. What is the area of the hexagon?
An hexagon has 6 sides
The number of angles in an hexagon is calculated as:
[(Number of sides - 2) x 180]
= (6 - 2) x 180 = 720 ÷ 6 = 120°
The hexagon into 6 equilateral triangles with 4 for each of its sides.
The area of one of the triangles:
Height = 2√3
- one triangle's area = (1/2)bh = (1/2)(4)(2√3) = 4√3
The area of the hexagon by multiplying the one triangle's area by 6:
6 x 4√3 = 24√3 square inches
= 41.569219382 square inches
Approximately = 41.6 square inches
Which of the following shows a group of possible angles a triangle could have?
A. 10 degrees, 10 degrees, 10 degrees
B. 30 degrees, 30 degrees, 30 degrees,
C. 60 degrees, 60 degrees, 60 degrees
D. 80 degrees, 80 degrees, 80 degrees
Answer:
C. 60 degrees, 60 degrees, 60 degrees
Step-by-step explanation:
The measures of interior angles of a triangle sum to 180°.
The medium pizza is 12 inch what the circumference plz help
Answer:
37.7
Step-by-step explanation:
ig
please help!!! I’ve been sobbing forever about this question
Answer:
I hate math too <3
Increasing: [0,1]
Decreasing: (infinity,0] U [1,infinity)
Answer:
dec: (-∞,-2) and (1,∞)
inc: (-2,1)
Step-by-step explanation:
A graph is decreasing when the y values are decreasing while the x values are increasing, so in the first part when you're going from left to right the graph is decreasing because the y values decrease while x increases
what is the green dot on the parabola called
Answer:
Maximum
Step-by-step explanation:
The green dot repesents the max height of the parabola.
Helpful tip:
If the graph opens up then the vertex is a min
If the graph opens down then the vertex is a max
Write an equation of the line passing through point P(3,8) that is parallel to the line y= 1/5(x+4).
9514 1404 393
Answer:
y -8 = 1/5(x -3)
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line through point (h, k) with slope m
The given equation y = 1/5(x +4) matches this form with m=1/5. The parallel line will have the same slope.
This means you want a line through point (3, 8) with slope 1/5. Putting these values in the point-slope form gives ...
y -8 = 1/5(x -3)