Answer: The question is not clear.
Step-by-step explanation:
Earth is approximately 5 x 109 years old. For which of these ages could this be an approximation?
A 4,762,100,000 years
B 48,000,000,000 years
4.45 x 10⁹ years
4.249999999 × 10⁹ years
Answer:
The answer is around 50,000,000,000 years so its E
Step-by-step explanation:
what is the degree of the polynomial 3x^6 - 4x^4 + 5x - 6
The degree of the polynomial 3x^6 - 4x^4 + 5x - 6 degree of polynomial is 6
Definition of degree of polynomial
The degree of polynomials in one variable is the highest power of the variable in the algebraic expression.
Here the algebraic expression is 3x^6 - 4x^4 + 5x - 6
variable is xhighest power of variable is 6 degree of polynomial is 6Polynomials appear in lots of regions of arithmetic and technological know-how. for instance, they're used to form polynomial equations, which encode a extensive variety of issues, from essential word issues to complex medical troubles;
they are used to outline polynomial features, which seem in settings ranging from fundamental chemistry and physics to economics and social technological know-how; they're utilized in calculus and numerical analysis to approximate other features.
In advanced mathematics, polynomials are used to assemble polynomial jewelry and algebraic sorts, which are imperative ideas in algebra and algebraic geometry.
To learn more about polynomial visit , https://brainly.com/question/13005122
#SPJ9
Given the product (x+8) (x+3) do the following.
(a) Show that this product is equivalent to x² +11x + 24 by using any acceptable method.
(b) Test the equivalency by using x= 1. Show the intermediate calculations.
The product or multiplication of the polynomials is given as
x² +11x + 24.
A result or product is produced by multiplication or a statement that lists the factors to be multiplied.
The commutative law of multiplication states that the product is independent of the sequence in which real or complex numbers are multiplied.The order of the factors often determines the outcome of multiplying matrices or the constituents of other associative algebras.For instance, multiplication in general and in matrices are non-commutative operations in other algebras.Additionally, two complex numbers can be multiplied to get a complex number. When we multiply two integers, we always get back an integer.Given (x+8) (x+3)
let us find the product :
= x² + 8x + 3x + 24
= x² +11x + 24
Let us now test the equivalency .
(x+8) (x+3) = (1+8)(1+3) = (9)(4) = 36
x² +11x + 24 = (1)² + 11(1) + 24 = 36
Hence we can see that the product is same in both the cases.
To learn more about product or multiplication visit:
https://brainly.com/question/18127278
#SPJ1
need help with question in pic
Answer:
x = 2 + [tex]\sqrt{3}[/tex] i
x = 2 - [tex]\sqrt{3}[/tex] i
Step-by-step explanation:
Principal:=$500
interest rate=5%
Time=5 years
What is the interest earned
Answer:
$125
Step-by-step explanation:
I = Prt
I = ($500)(.05)(5) = $2,500(.05) = $125
Three times a number, increased by one, is between negative eight and thirteen. Find all the numbers.
Answer:
l speak frenchjwhehdgdhehdhs
5. The function m(x) = |x - 79| represents the absolute deviation (in inches) of a
man's height x (in inches) from the average height of men on a college basketball
team. The function w(x) = |x - 72 represents the absolute deviation (in inches)
of a woman's height x (in inches) from the average height of women on a college
basketball team. Compare the absolute deviations for a man and a woman who are
both 76 inches tall.
Step-by-step explanation:
Reread the underlined sentence on page 4.
What does the figurative language in this
sentence suggest about the narrator?
He feels that people should have used better tools
to help them detect advanced life forms on other
planets.
He sympathizes with people for not apprehending
that there was advanced life on other planets.
He is unable to believe that there could be any
form of life more advanced than humans.
He blames people's exaggerated idea of their
superiority for their failure to imagine life more
advanced than themselves.
Elliot is paid a salary of $600 per week plus 1% commission on sales OVER $7500. His sales last week totaled $16,700.
What is is commission for the week and his total pay for the week?
Answer:
692
Step-by-step explanation:
600 + (16,700 - 7,500) x 1%
600 + 16,700 - 7,500/100
600 + 9,200/100
600 + 92 = 692
I hope this helped.
Please correct me if I am wrong.
simplify 6^5 * 2^3 * 6^4 / 12^3
^ is elevated
* multiplication
/ division
The simplified form of the expression is 6⁶
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6^5 * 2^3 * 6^4 / 12^3
That is,
6⁵ × 2³ × 6⁴ / 12³
Simplifying
6⁵ × 2³ × 6⁴ / 12³
6⁵ × 6⁴ × 2³ / 12³
Applying the exponents rule
6⁵ ⁺ ⁴ × 2³ / 12³
6⁹ × 2³ / 12³
Expanding 12³, we get
6⁹ × 2³ / 6³ × 2³
= 6⁹ / 6³
= 6⁹ ⁻ ³
= 6⁶
Hence, the simplified form of the expression is 6⁶
Learn more on Simplifying an expression here: https://brainly.com/question/19284077
#SPJ1
Can you pls help me
Will mark brainliest
The early pay will always be $60 no matter the number of days, the deposit plus will be $35, $50, $65, $80, and the daily pay would be $0, $30, $60 $90, $120.
How much will you pay with the "Early pay" option?Based on the information, if you choose the option early pay, you will pay only $60 and you can swim as many days as you want, due to this, the total paid will always be $60.
How much will you pay with the "Deposit plus" option?Day 0: $20 (deposit)
Day 5: $20 (deposit) + $15 = $35
Day 10: $20 (deposit) + $30 = $50
Day 15: $20 (deposit) + $45 = $65
Day 20: $20 (deposit) + $60 =$80
How much will you pay with the "Daily pay" option?Day 0: $0
Day 5: $30 (6x5)
Day 10: $60 (6x10)
Day 15: $90 (6x15)
Day 20: $120 (6x20)
Learn more about multiplication in https://brainly.com/question/5992872
#SPJ1
Expand each logarithm.
log s√7/t²
The value of logarithmic expression log s√7/t² is log (7/t²)^1/s.
By considering the given logarithmic expression
log s√7/t²
=log (7/t²)^1/s
The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number.
Based on the logarithm base, the logarithmic functions are broadly divided into two types. There are common and natural logarithms. Common logarithms are based on the number 10, while natural logarithms are based on the base "e." The power to which a number must be raised in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents).
Learn more about logarithm here
brainly.com/question/25710806
#SPJ4
A health food company packs almond butter in jars. some jars hold 250 kg. other jars hold 500g. on tuesday, the company packed 186.5 kg of almond butter in 511 jards. how many jars of each size did they pack
In linear equation, there was 235 jars with 0.5 kg almond and 276 jars with 0.25 kg almonds.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Let the number of 250g=0.25 kg jars be x and that of 500g=0.5 kg jams be y;
therefore:
total number of jars was
x+y=511
x=511-y..........i
total amount kg was:
0.25x+0.5y=186.5....ii
substituting i in ii
0.25(511-y)+0.5y=186.5
127.75-0.25y+0.5y=186.5
solving for y we get:
0.25y=186.5-127.75
0.25y=58.75
y=58.75/0.25
y=235 jars
and
x=511-x
=511-235
=276
hence , there was 235 jars with 0.5 kg almond and 276 jars with 0.25 kg almonds.
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
A line intersects the points
(8,-10) and (9, 4).
m = 14
Write an equation in point-slope form
using the point (8, -10).
Question 2: Write each of the following in index form
(a) √√
(b) √y
(c) √
Va
(d) √ (e) x (1) c
Let f(x)=(x+1)²-2 . Find the x -and y -intercepts of f(x) and the inverse of f(x) . Is the inverse a function?
The x-intercept of the function are (√2-1,0) and(-√2-1,0). and the y-intercept of the function is (0,-1) and the inverse of the function is f⁻¹(x)=±√(x+2)-1.
The x and y intercepts of a function is defined as the points on the cartesian plane where the graph of the function intersects the co-ordinate axes.
The intercepts are calculated by substituting the value of x and y to zero to calculate the corresponding variable.
The inverse of a function y=g(x) is calculated by finding the value of x from the equation.
At x=0 , we get the y intercept.
f(0)=(0+1)²-2
or, f(0)=-1
So the y-intercept is at (0,-1) .
At y=0 we get the x-intercept.
f(x)=0
or,(x+1)²-2=0
or,(x+1)²=2
or, x+1= ±√2
or, x=±√2-1
Therefore the x-intercepts are (√2-1,0) and(-√2-1,0).
Now let us calculate the inverse of the function.
y=(x+1)²-2
or,y+2=(x+1)²
or, x+1=±√(y+2)
or, x=±√(y+2)-1
Hence the inverse of the function is written as
f⁻¹(x)=±√(x+2)-1
To learn more about intercepts and inverse of function visit:
https://brainly.com/question/15660316
#SPJ4
Simplify each number. 81¹/₄
[tex]81^{\frac{1}{4} }[/tex] can be simplified into 3.
Prime factorization is the process of breaking down a number into its prime factors. Multiplying these prime numbers gives back the original number.
Prime factorization of 81 = 3 x 3 x 3 x 3 = [tex]3^{4}[/tex]
According to the law of indices, if a term with a power is raised to a power, then the powers are multiplied together.
i.e., [tex](x^{m})^{n} = x^{mn}[/tex]
According to the given condition,
∴ [tex]81^{\frac{1}{4} }[/tex] = [tex](3^{4} )^{\frac{1}{4} }[/tex]
Applying the law of indices mentioned above,
[tex](3^{m})^{n} = 3^{4 X\frac{1}{4} }[/tex]
= 3.
Thus, the
[tex]81^{\frac{1}{4} }[/tex] can be simplified into 3.
To learn more about laws of indices, refer to this link:
brainly.com/question/27432311
#SPJ4
A baker needs to make eight batches of cookies for a party. If each batch requires 2 2/4 cups of flour, how many cups will he need?
Answer:
20
Step-by-step explanation:
8x2=16 and 2/4 times 8 is 4 so 20
order to have enough for the trip?
2. An aquarium has 29 large fish tanks. A total of 1,423 fish need to be kept in the
tanks. If the owner wants to split the fish into the tanks as evenly as possible,
what is the greatest number of fish that will be in one tank?
al Paleolith I-man division
50 would be the largest count of fishes that would be in the tanker.
This is because of divide rule.
If the owner wants to keep the equal number of fishes in the tanker, he have to divide the total number of fishes by total number of tankers.
so,
= [tex]\frac{1423}{29}[/tex]
= 49.
It implies that 27 tankers would have 49 fishes in each of them and rest 2 tankers will adjust the remaining extra 2 fishes in themselves , so they would accommodate 50 fishes in each of them.
As the name implies, division rules in mathematics allow one to determine if a number may be divided by another number without using the actual division procedure. When two numbers can be divided evenly, the quotient is always a whole number and the remainder is always zero.
In accordance with the rule of seven divisibility, if a number is divisible by seven, then "the difference between twice the unit digit of the provided number and the remaining portion of the given number should be a multiple of seven or it should be equal to zero." 798, for instance, may be divided by 7.
Learn more about divide rule here :
https://brainly.com/question/9264846
#SPJ9
what is the general process for solving an equation with one variable
Answer:
Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
Example:
Add -4 to both sides to isolate the variable.
Simplify.
Divide both sides by 2 to isolate the variable on one side.
Step-by-step explanation:
a root of the equation 3x-8=13
Answer:
x= 7
Step-by-step explanation:
3x= 13+8
3x= 21
x= 21/3
x= 7
Find the midpoint M of the line segment joining the points S= (-5, 1) and T = (3, -3).
M=
Answer:
The answer is (−1,−1)
Step-by-step explanation:
Hope this helps!
Sorry If I'm wrong
(5/2-3/4)-1/4(1-x)=1/2
Answer:
Step-by-step explanation:
[tex](\frac{5}{2} -\frac{3}{4} )-\frac{1}{4} (1-x)=\frac{1}{2}[/tex]
[tex](\frac{10}{4} -\frac{3}{4}) -\frac{1}{4} -\frac{1}{4} x=\frac{1}{2}[/tex]
[tex]\frac{7}{4} -\frac{1}{4} -\frac{1}{4} x=\frac{1}{2}[/tex]
[tex]\frac{6}{4} -\frac{1}{4}x=\frac{1}{2}[/tex]
[tex]1=\frac{1}{4} x[/tex]
[tex]4=x[/tex]
[tex]x=4[/tex]
Hope this helped! Have a great day!
If f(x) = 3x + 2 and g(x) = xsquared − x, find the value. f(x) + 1
The value of the function f(x) + 1 is 3x + 3
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the value of the function?The functions are given as
f(x) = 3x + 2
g(x) =x^2 - x
To calculate the value of the function f(x) + 1, we use the following definitions:
New function = f(x) + 1
Substitute f(x) = 3x + 2 in New function = f(x) + 1
So, we have
New function = 3x + 2 + 1
Evaluate the sum
So, we have
New function = 3x + 3
Rewrite as
So, we have
f(x) + 1 = 3x + 3
Hence, the value of the function f(x) + 1 is 3x + 3
Read more about functions at
https://brainly.com/question/1415456
#SPJ1
Solve this equation. Enter your ans
-4(x-26) = -200
What is the value of x+26
Answer:
There are no like terms
Step-by-step explanation:
x+26
There are no like terms
Answer: x+26 is 26
Step-by-step explanation:
The area of a rectangle is 108.35 in² and the length is 7.8 in. Find the width.
A) 6.95 in.
B) 13.89 in.
C) 27.78 in.
D) 21.44 in.
Answer: 13.89 in ==> B
Step-by-step explanation:
A=area of rectangle, l=length, w=width
A=l*w
108.35=7.8*w
108.35/7.8=7.8w/7.8
w=108.35/7.8
w=13.891 ==> w=13.89 in==> B
what is 5/9 + (-2/9)
Answer: 1/3
Step-by-step explanation:
Answe3/9
Step-by-step explanation: You just subtract the 2 from the 5 because the denominators are the same. You subtract because there is one subtraction sign and one addition sign.
An angle measures 8° more than the measure of its supplementary angle. What is the measure of each angle?
86° is the measure of each angle when its supplementary angle.
What does math's supplementary angle mean?
Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees.If two angles in geometry sum up to 180 degrees, they are considered to be supplementary angles. For instance, A and B are referred to as supplementary angles if A + B = 180°.Let the larger angle be x.
Smaller angle = x - 8
As both angles are supplementary,
x + (x - 8) = 180°
2x - 8 = 180°
2x = 188°
x = 94°
Therefore, larger angle = 94°
Smaller angle = 94° - 8° = 86°
Learn more about supplementary angle
brainly.com/question/13045673
#SPJ1
Suppose
f
(
x
)
=
−
2
x
2
+
6
x
+
4
. Compute the following:
f
(
−
4
)
=
f
(
3
)
=
we get f(-4)= -52 and f(3)=4
suppose f(x)= -2x^2+6x+4
we have to compute f( -4) and f(3)
The value of f(-4) is found by substituting -4 into the equation per variable, solving and simplifying as needed, to get the answer.
f(x)= -2x^2+6x+4
we have to compute f( -4)
then f( -4)= -2(-4)^2+6(-4) +4
= -32-24+4
= -52
similarly ,The value of f(3) is found by substituting 3 into the equation per variable, solving and simplifying as needed, to get the answer.
f(x)= -2x^2+6x+4
we have to compute f( 3)
then f( 3)= -2(3)^2+6(3) +4
= -18+18+4
=4
Hence we get f(-4)= -52 and f(3)=4
learn more about of substitution here
https://brainly.com/question/20261270
#SPJ9
Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)
Center (−3, 4),
radius 3
Answer:
(x +3)² +(y -4)² = 9
Step-by-step explanation:
You want the equation of a circle with center (-3, 4) and radius 3.
Circle equationThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
ApplicationYou have a circle with center (h, k) = (-3, 4) and radius r = 3. Using these values in the above equation, we find the circle equation to be ...
(x -(-3))² +(y -4)² = 3²
(x +3)² +(y -4)² = 9