Answer:
The next term is 64, a is 2, and the common ratio is 2.
Step-by-step explanation:
Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.
Marc solves the equation Latex: (\sqrt[4]{x})^3=5\textsf{.} His work is shown below. Step 1: Latex: (\sqrt[4]{x})^3=5 ( √ [ 4 ] x ) 3 = 5 Step 2: Latex: x^{\frac{3}{4} }=5 x 3 4 = 5 Step 3: Latex: x^{\frac{3}{4} \cdot \frac{4}{3} }=5^{\frac{4}{3} } x 3 4 ⋅ 4 3 = 5 4 3 Step 4: Latex: x=\sqrt[3]{5 \cdot 5 \cdot 5 \cdot 5} x = √ [ 3 ] 5 ⋅ 5 ⋅ 5 ⋅ 5 Step 5: Latex: x=5\sqrt[3]{\not{5} \cdot \not{5} \cdot\not {5} \cdot 5} x = 5 √ [ 3 ] ¬ 5 ⋅ ¬ 5 ⋅ ¬ 5 ⋅ 5 Step 6: Latex: x=5\sqrt[3]{5} x = 5 √ [ 3 ] 5 Explain what Marc did in steps 4 and 5. Why did he do this? Create your own radical equation and explain how to solve it. Is there an extraneous solution to your equation?
Based on the calculation, we can say that there is an extraneous solution to the equation
Given the equation solved by Marc expressed as:
[tex](\sqrt[4]{x})^3=5[/tex]
We are to check if the indices equation has an extraneous equation.
According to the law of indices [tex](\sqrt[n]{m} )^a=m^{\frac{a}{n} }[/tex], the expression becomes:
[tex](\sqrt[4]{x})^3=5\\x^\frac{3}{4}=5\\[/tex]
Raise both sides to the power of 4/3 as shown:
[tex](x^\frac{3}{4} )^\frac{4}{3} = 5^\frac{4}{3}\\x^1 = 5^\frac{4}{3}\\x = 5^\frac{4}{3}\\[/tex]
This shows that there is an extraneous solution to the equation
Learn more here: https://brainly.com/question/12232011
Solve the equation.
b^2 = 48
Answer:
b=6.92820323
Step-by-step explanation:
To find b, you would do the opposite from ^2 which is the square root. So the square root of 48. That is 6.92820323
Answer:
b ≈ 6.928 or 4√3
Step-by-step explanation:
b² = 48. To find b, we need to square root both sides (we are doing the opposite of squaring):
b = √48 = 4√3 or ≈ 6.928
Hope this helps!
Find the measures of a right triangle with one angle whose measure is 30
Answer:
The other measure is 60º
Step-by-step explanation:
a triangle= 180º total
a right triangle has one 90º angle
there is a 30º angle given
180-90=90
90-30=60
so 60º
can someone please help me with this
Answer:
Perimeter = 18m
Area = 18m²
Step-by-step explanation:
On a rectangle, opposite sides have equal lengths. This means to find the perimeter you would do (3 × 2) + (6 × 2) which is 6 + 12 = 18
The perimeter is 18m
To find the area, you would do length × width. The length is 6 and the width is 3 so 6 × 3 is 18
The area is 18m²
Hope this helps!
need help pls thx..........
Answer:
170 degree. is the answer
20.7 rounded off to the nearest tens place
Answer:
20
Step-by-step explanation:
(95^5)(92^2) =
A)
9
B)
910
C)
187
D)
1810
Answer:
I think it is C it is gussplease if you can i urgently need help thank you very much
Answer:
1/4
Step-by-step explanation:
2^7/2^9 = 1/2^2
HELP PLS hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllppppppppppppp
Answer:
[tex]r\le \:12.5[/tex]
Step-by-step explanation:
Answer:
r<=12.5
Step-by-step explanation:
87.5-150 = -62.5
-62.5/-5 = 12.5
you multiplied by a negative so the symbol switches
<=
Find the measures of the four angles below.
Answer:
x = 38.8
Step-by-step explanation:
Which of the following statements must be true based on the diagram below
Answer:
i think its the 2nd and 4th
Step-by-step explanation:
PLEASE HELP WE DON'T KNOW THE ANSWERS AND WE ARE ALL FAILING THIS CLASS PLS HELP//// I would like to thank you for helping us so much we greatly apricate this.
Answer:
leave unknown variables alone on one side. throw the numbers to the other side of the equation by changing sign
If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x2−19x+50 find the number of units manufactured at a cost of $8150
Answer:
Step-by-step explanation:
C(x) = ax2 + bx + c
C(x) = x2 -19x + 50
8150 = x2 -19x + 50
x2 -19x + 50 = 8150
x2 -19x-8100 = 0
this is a quadratic equation, solved as
x = −b ± √(b2 − 4ac) 2a ·
or
x = −(-19) ± √((-19)x(-19) − 4(1) x(-8100))/2 ·
x= 19± √((-19)x(-19) − 4(1) x(-8100))/2
x = 100
Robin earned $4,581 in 9 weeks. How much does he earn per week?
Answer:
$509 per weekStep-by-step explanation:
Well, in order to find the unit rate we simply do the following steps:
4,581 ÷ 9 = 509
So to answer the question, each week Robin earns $509.
Hope this helps! : )
Answer:
they earn 509 a week
Step-by-step explanation:4581 divided by 9
Two way tables!! Help!!!!
( only the bottom one )
Answer:
The answer is photo.
Step-by-step explanation:
So:
167 - 66 = 101
So the total of Spain is 101
Now what is Marc’s value for Spain?
33 + 40 = 73
101 - 73 = 28
Marc’s value is 28.
Elli’s value for Portugal is unknown. We know Elli’s total is 57 and her value for Spain is 40. So: 57 - 40 = 17.
Elli’s value for Portugal is 17.
Now what is Marc’s total?
We know Spain is 28 and Portugal is 24. So add them:
28 + 24 = 52
Marc’s total is 52.
Now, what is Raisa’s total. We everyone else’s total and we know it all adds up to 167 so:
57 + 52 = 109
167 - 109 = 58
Raisa’s total is 58.
What is her Portugal value?
58 - 33 = 25
Her Portugal value is 25.
PLEASE ANSWER I NEED HELP LOTS OF POINTS
Answer:
blank 1 = 4
blank 2 = -5
blank 3 = -1
Step-by-step explanation:
(x-x)(x+1)-x ( x+2)
(x-1) (x^3+x^2+x+1)
Answer:
−x^6−2x^5+x^2+2x
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST
Represent the following algebraically
Answer:
width = (21 - 2n) ÷ 2 or 21/2 - n
Step-by-step explanation:
To find Width
let's say width is x
so 2x + 2n = 21
take away 2n from both sides
then 2x = 21 - 2n
Divide both sides by 2 to get x on its own
x = 21 - 2n /2
therefore the width of the rectangle is 21 - 2n /2
Mable earns $180 in 18 hours. at this rate how many dollars will she earn in 30 hours
Step-by-step explanation:
18 hours = $180
1 hour = 180/18 = $10
so 30 hours = 30 × 10 = $300
please give me a brainliest answer
Which graph represents the piecewise-defined function f(x) = { -x + 4, 0 ≤ X< 3
6,
X ≥ 3
9514 1404 393
Answer:
(d)
Step-by-step explanation:
The second line of the function is ...
f(x) = 6, x ≥ 3
This tells you that portion of the graph is the horizontal line y = 6, extending to the right from x = 3, and that there will be a solid dot at (3, 6).
This shows only on the attached graph.
Answer:
4th graph
Step-by-step explanation:
Find the sum. Write your answer in simplest form. 7/10 - 1/4
Answer:
9/20 or 45%
Step-by-step explanation:
If we make common denominators (for this example, we will make each denominator 20), this would make 7/10 = 14/20 and 1/4 = 5/20. From there, we subtract the numerators from each other (14-5) and leave the denominators alone. The difference comes out to 9/20 and there is no way to simplify it further, making it the final answer.
Please
Helppp!!
Geometry
Answer:
m∠6 = 54°
Hope this helps!
Step-by-step explanation:
( 13x+9 ) and angle 4 are congruent meaning the same. That means angles 5 and 8 are also congruent to ( 13x + 9 ).
Angle 5 or angle 8 are Supplementary to angle ( 5x + 9 ) so a Supplementary angle is 180° and we need to find out x. ( 13x + 9 ) + ( 5x + 9 ) = 18x + 18.
Because Supplementary angles equal 180°, 18x + 18 = 180
18x = 162 x = 162/18 x = 9
Because ∠6 is congruent to angle ( 5x + 9 ), ∠6 = ( 5(9) + 9 )
∠6 = 45 + 9 ∠6 = 54
A salesperson earns a base salary of $400 per week plus 20%
commission on sales. He is offered double his base salary if he'll
accept half his original commission. Graph and label the original deal
and the new deal below. Next to the graph, find when the original deal
is a better choice. Explain your thinking.
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
For how to graph this, best to look at the guidelines for graphing a break-even formula.
What we do want to know is where these two values equal each other.
So, set: 400 + 0.20X = 800 + 0.10X
Subtract 400 from both sides; also subtract 0.10X from both sides, to get:
0.10X = 400
To solve for "X", divide out both sides by: 0.10, to get:
X = 4,000
What can can glean from this, is that:
(1) The sales person is better off accepting the higher base salary, up to the point of sales being no more than $4,000;
(2) The sales person is better off accepting the lower base salary, if their sales are normally expected to exceed $4,000.
Victor has 2 times as many trophies as dean . Together, victor and Dean have 27 trophies . How many trophies does victor have?
Answer:
18
Step-by-step explanation:
9 + 18 = 27
9 x 2 = 18
hot pizza have a discount offering 20% discount on all its pizzas
the pizza is reduced to £5.60 what is the original price of the pizza?
(Factorials)
Solve 5!
_help please_
Answer:
5*4*3*2*1= 120
you multiply each number to it's previous one till you reach 1
hi can anyone help with this question thx
first part of the question is in the pic
second part is here and it is:
York to London is a distance of 175miles
How many miles an hour faster was the first part of the journey?
Answer:
88 miles per hour
Step-by-step explanation:
12 + 122 = 134 minutes for the entire journey
The total distance was 197 miles.
The avarage speed is the total distance divided by the total time:
Convert the time from minutes to hours dividing it by 60:
134/60 = 2.24 hours
197/2.24 = 87.95 ≈ 88 miles per hour
X+2x-5+6= 0 How would you picture model this to solve for x?
Hey there!
x + 2x - 5 + 6 = 0
1x + 2x - 5 + 6 = 0
3x + 1 = 0
SUBTRACT 1 to BOTH SIDES
3x + 1 - 1 = 0 - 1
CANCEL out: 1 - 1 because that gives you 0
KEEP: 0 - 1 because that helps solve for the x-value
0 - 1 = -1
NEW EQUATION: 3x = -1
DIVIDE 3 to BOTH SIDES
3x/3 = -1/3
CANCEL out: 3/3 because that gives you 1
KEEP: -1/3 because it gives you the value of x
SIMPLIFY IT
x = -1/3
Therefore, your answer is: x = - 1/3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Confused ;-; please help me
Answer:
1)sss
2)asa
3)sas
Step-by-step explanation:
hope this helps
8 liters is the same as how many gallons? round anwer to the nearst tenth
Answer:
3.785, but rounded to the nearest tenth is 3.8
Step-by-step explanation:
Hope this helps!
Answer 1,76211454 gallons
Step-by-step explanation: if you are in the UK , 1 gallon = 4,54 liters , in America is 3,78