Given:
The statement is " a is the fourth root of 16".
To find:
The true statement for the given statement.
Solution:
The given statement is
a is the fourth root of 16.
Mathematically, it can be written as
[tex]a=\sqrt[4]{16}[/tex]
Taking power 4 on both sides.
[tex]a^4=(\sqrt[4]{16})^4[/tex]
[tex]a\times a\times a\times a=16[/tex]
Therefore, the correct option is A.
A true statement , if a is the fourth root of 16 is
a x a x a x a = 16
Important Information :
'a' is the fourth root of 16'a' is the fourth root of 16 can be written as
[tex]a=\sqrt[4]{16}[/tex]
To remove fourth root, we take exponent 4 on both sides
[tex]a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4[/tex]
Exponent 4 and fourth root will get cancelled
[tex]a^4=16\\a \cdot a\cdot a \cdot a=16[/tex]
a x a x a x a = 16
A true statement , if a is the fourth root of 16 is
a x a x a x a = 16
learn more about the radicals here:
brainly.com/question/1799883
solve the system of equations 6x+3y=12 and 5x+y=7
Answer:
x = 1; y = 2
Step-by-step explanation:
To find x:
Multiply (5x+y=7) by 3 to get the y's in both equation the same, and you will get 15x+3y=21.
Now the y's cancel out. Subtract the remaining equations: (15x=21) - (6x=12) and you get 9x = 9. Divide everything by 9 and you get x=1.
To find y:
You can substitute 1 for x in either equation. I will use (5x+y=7).
Substitute the 1 for x: 5(1)+y=7
Simplify: 5+y=7
Put like terms on the same side by subtracting 5 from both sides: y=2
Check:
6(1) + 3(2) = 12
6 + 6 = 12
12 = 12 - this is right
5(1) + (2) = 7
5 + 2 = 7
7 = 7 - this is right
Which statement describes the graph
Answer:
Your answer is A
Step-by-step explanation:
I hope I helped :)
Is x^2+y^2=100 a function
Using the function concept, it is found that [tex]x^2 + y^2 = 100[/tex] is not a function, as for each value of x there is more than one corresponding value of y.
Function:In a function, one value of the input can be related to only one value of the output, that is, for each value of x, there can only be one respective value of y.In this problem, the relation is:
[tex]x^2 + y^2 = 100[/tex]
For example, considering x = 0, the corresponding values of y are:
[tex]0^2 + y^2 = 100[/tex]
[tex]y = \pm \sqrt{100}[/tex]
[tex]y = \pm 10[/tex]
Hence, it is not a function, as for each value of x there is more than one corresponding value of y.
To learn more about the function concept, you can take a look at
What is the Unknown number in proportion
Answer:
8*7/4=7x
56/4=7x
14=7x
x=2
Step-by-step explanation:
What does "buying more house than you can afford" mean? Why shouldn't you do this?
Answer:
Basically it just means that you are trying to spend money that you don't have on things you don't need.
Step-by-step explanation:
Taken literally, you can live in a pretty small house and be content. You don;t need to spend tons of money to be happy. This can be a bad thing to do because you don't want to be in debt to anyone, especially when that could have been avoided.
For the sequence tn=n^2-2n,find the third term
Answer:
t₃ = 3
Step-by-step explanation:
To find the third term substitute n = 3 into the formula, that is
t₃ = 3² - 2(3) = 9 - 6 = 3
Answer:
tn=n^2-2n
n =3
t3 = 3^2 -2(3)
t3 = 9-6
t3 = 3
Ms. Miller pays her electric and internet bill with South Central Cooperative. Her bill is due on February 22nd, and the balance is (-$156.65). Does she owe any money? Why or why not? Explain your reasoning.
Answer: yes
Step-by-step explanation:
yes because it's nagitve and not positive so that means that so lost money so she got's to give them money back.
Hi, could someone solve this parametric system?
7х+4y – 5z = 2
3х +5y +kz = 4
X+ky +7z = k
9514 1404 393
Answer:
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
Step-by-step explanation:
The system can be solved by any of your favorite methods. Treat k as you would any number.
My row reduction software says the solution is ...
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
__
Clearly, k ≠ 31/7.
The augmented coefficient matrix is attached.
PLS HELP ME ILL GIVE BRAINLIEST, AND PLS EXPLAIN YOUR ANSWER<3
A field has an area of 9/20 square mile. Determine the width of the field if the length is 9/10 mile long.
Answer:
[tex] \huge \boxed{ \boxed{ \sf \: \frac{1}{2} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:fractionPEMDASequationgiven:area:[tex]\frac{9}{20}[/tex]length:[tex]\frac{9}{10}[/tex]to find:widthtips and formulas:area of a rectangle=l×wlet's solve:let width be w
according to the question
the equation is
[tex] \sf \frac{9}{10 } \times w = \frac{9}{20} [/tex]
let's figure out the equation
[tex] \tt \: divide \: both \: sides \: by \: \frac{9}{10} : \\ \sf\frac{9}{10} \div \frac{9}{10} \times w = \frac{9}{20} \div \frac{9}{10} [/tex][tex] \tt simplify : \\ \sf\frac{9}{10} \times \frac{10}{9} \times w = \frac{9}{10} \times \frac{10}{9} \\ \therefore \: \tt \: w = \frac{1}{2} [/tex]This graph shows how long, in minutes, it takes Malaya run her miles. How
long does it take her to run 8 miles? *
Answer:
80 minutes
Step-by-step explanation:
On your graph it says each mile takes 10 minutes. 8 miles take 80 minutes.
I don't understand this please help me!
find the value of the greater root of x^2 + 10x + 24x = 0 a) -6 b) -4 c) 4 d) 6
what formula is applied, I mean what method
Answer:
B
Step-by-step explanation:
We have the equation:
[tex]x^2+10x+24=0[/tex]
We can factor:
[tex](x+6)(x+4)=0[/tex]
By the Zero Product Property:
[tex]x+6=0\text{ or } x+4=0[/tex]
Solve:
[tex]x=-6\text{ or } x=-4[/tex]
-4 is greater than -6, so -4 is the greater root.
Our answer is B.
suppose you create a graph of the cost function, c=20n + 500 of a new bookstore, and you also graph the revenue function, r=25n, where n is the number of books sold. On your graph, would the point n=150 in the loss section, the profit section, or the break-even section.
Answer:
Loss section
Step-by-step explanation:
Given
[tex]c = 20n + 500[/tex] -- cost
[tex]r = 25n[/tex] -- revenue
Required
Determine where n = 150 is
To do this, we substitute 150 for n in the given functions
[tex]c = 20n + 500[/tex]
[tex]c = 20 * 150 + 500[/tex]
[tex]c = 3500[/tex]
[tex]r = 25n[/tex]
[tex]r = 25 * 150[/tex]
[tex]r = 3750[/tex]
The above shows that the revenue is greater than cost for n = 150.
This implies that, n = 15o is the loss section.
Answer: profit section :)
Joyce Mesnic bought an HP laptop computer at Staples for $699. Joyce made a $100 down payment and financed the
balance at 10% for 12 months. What is her monthly payment? (Round your answer to the nearest cent.)
Latoya opened a savings account and made an initial deposit. After the initial deposit,she added money into the account each week. She added the same amount of money each week, and she did not make any withdrawals. After 4 weeks, she had $450 in her account. After 9 weeks, she had $825 in her account. How much money is Latoya adding to her account each week?
Answer:
Apologies, but you need to tell me the initial deposit amount in order to solve this.
Step-by-step explanation:
;-; mark brainliest to make you feel better
Answer:$50
Step-by-step explanation:
What is the solution to x-4≤6?
Answer:
x - 4 _< 6
Step-by-step explanation:
find the value of the second in this sequence
34 __ 84 109 134
Answer:
the answer is 59
Step-by-step explanation:
your welcome
What single percentage change is equivalent to a 7% increase followed by a 22% increase
Answer:
Single increase rate = 29.47%
Step-by-step explanation:
Given:
First increase rate = 7%
Second increase rate = 21%
Find:
Single increase rate
Computation:
Assume number is a
So,
First increase rate = 7%
a + 7%
= 1.07a
Second increase rate = 21%
1.07a + 21%
1.2947a
So,
Single increase rate = 1.2947 - 1
Single increase rate = 0.2947
Single increase rate = 29.47%
write an equation through the points (-3,7) and (1,-1)
The slope is -2.
The slope is the rise over the run. Because the line goes down from left to right, it makes the value negative. For every one the it moves to the right, the line goes down two units.
1/1-cos x
+
1/1+cos x
Answer:
2 csc^2 x
Step-by-step explanation:
using a common denominator, that is
((1+cosx)+(1-cosx))/(1-cos^2c) = 2/sin^2x
Answer:
sin^2x
Step-by-step explanation:
(1+cosx)(1-cosx)
Difference of squares
1-cos^x
Pythagorean identity
sin^2x
Write and solve a proportion to answer the question. 3/4 is 75% of what number?
Answer:
so basically I think it is
¾ = 75%
x = (¾)/75% = (¾)/0.75 = 0.75/0.75 = 1
Step-by-step explanation:
if I am wrong I am so so very sorry
185.30 divided by 357.25
Answer:
0.52014035087
Step-by-step explanation:
Answer:
0.51868439468
Step-by-step explanation:
2) Of 320 million people in the United States, about 224 million take at least one type of prescription drug. What percent take at least one type of prescription drug?
Please show work
The playing surface of a football field is 263 feet long and 116 feet wide. If a player runs from one corner of the field to the opposite corner, how many feet does he run? Round to the nearest whole number.
Answer:
263 ft
Step-by-step explanation:
Because the field is 263 feet long he is not running wide
it is already rounded hope this helps
A triangle has two sides of lengths 7 and 9. What value could the length of the third side be? Check all that apply.
Answer:
A
B
C
E
Step-by-step explanation:
Answer: A, C, E, B I think im PRETTY sure im correct. Maybe 100% sure :)
Pls help I’ll brainlest ASAP
Answer:
He is 15 years old.
Step-by-step explanation:
I hope this helps :)
Answer:
Artaud is 15 years old
Step-by-step explanation:
Imagine Artaud is x yearrs old.
Now, turning the words in the problem into math equations, we get:
-x + 42 = 27.
Solving for x, we get:
-x = -15
x = 15.
So, Artaud is 15 years old.
Joseph has $60 in a savings account. Each week he deposits $12 in the account.
SELECT ALL the expressions that represent the total amount in the account after x weeks.
a.12(5 + 1x)
b.12(5x + 1)
c.60 + 12x
d.6(10 + 2x)
e.60x + 12
f.6(10x + 2)
Answer:
12x +60
Step-by-step explanation:
c
d
Which graph can be used to find the solution to the system of equations below? 2x + y = -4 - 3y = 2x + 12 2 -4-3-2-1 -1 1 2 3 5 2. -5 3-2 1 2 1 2 3
Answer:
F
Step-by-step explanation:
2x+y = -4
put into slope-intercept form: y = -2x - 4
-3y = 2x+12
In slope-intercept form: y = -⅔x - 4
Both equations have a y-intercept of -4. There is only one graph where both lines pass through (0,-4).
The solution of the given system of equation is (0, -4). Therefore, option A is the correct answer.
The given system of equations are 2x+y=-4 and -3y=2x+12.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The system of equations can be solved as follows:
Here, 2x+y=-4 ----------(1)
-3y=2x+12 ----------(2)
From equation(1), y=-4-2x
Now, put y=-4-2x in equation (2) and simplify
That is, -3(-4-2x)=2x+12
⇒ 12+6x=2x+12
⇒ 4x=0
⇒ x=0
Substitute x=0 in equation (2), we get
-3y=12
⇒ y=-4
The solution of the given system of equation is (0, -4). Therefore, option A is the correct answer.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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PLEAAASE HELPP that would be very much appreciated
Answer:
h(x) = (x + 4)^2 - 2
Step-by-step explanation:
Start with the red graph: f(x) = x^2
First we move the entire graph 4 units to the left. The resultant function is g(x) = (x + 4)^2.
Next, we move this latest graph 2 units down. The resultant function (and answer to this question) is h(x) = (x + 4)^2 - 2
PLEASE ANSWER QUICKLY!
A piggy bank contains 22 dimes, 7 nickels and 15 quarters. This morning you removed 8 dimes and 3 nickels. Which expression correctly shows the amount remaining in the piggy bank?
Answer:
The top one
Step-by-step explanation: