Answer:
Step-by-step explanation:
The calculator says that the answer is 7.36 * 10^-3.
This has been rounded to the proper number of significant digits. 5.02 has only 3 sig digs.
Coefficient: 7.36
Exponent: - 3
Note your calculator might give you 0.00736 but that is really 7.36 * 10^-3
Answer:
7.56932 * 10^-3
The coefficient is 7.35932
The exponent is -3
Step-by-step explanation:
When we multiply numbers in scientific notation, we take the numbers out front and multiply
1.466*5.02 =7.56932
Then we add the exponents on the powers of 10
10^(-8+5) = 10^(-3)
The result is 7.56932 * 10^-3
Using a calculator, we get 0.00735932, which is not in scientific notation. Your question indicates that you want the result in scientific notation
.00735932 changed to scientific notation
Move the decimal until a nonzero digit is to the left of the decimal
7.35932
We moved it 3 places to the left, that means our exponent is -3
7.35932*10^-3
The jacket is on sale for $36 which Is 80% of the original cost. What is the original price of the jacket?
Answer:
45
Step-by-step explanation:
percent x whole = part
80%w = 36
.8w=36
divide .8 by both sides
w=45
Emily is making bracelets for herself and 6 of her friends she needs 1/5 of a yard of string to make each bracelet. How much string will Emily need to make all of the bracelets?
10 feet of string to make all the bracelets.
what is the general form of the equation of a circle with its Center at -2 1 and passing through -4 one
Answer:
[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
The general form of an equation of a circle:
[tex]x^2+y^2+Dx+Ey+F=0[/tex]
We have the center (-2, 1). Substitute to the equation in the standard form:
[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]
Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:
[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]
Therefore we have the equation:
[tex](x+2)^2+(y-1)^2=4[/tex]
Convert to the general form.
Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]
[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]
Is 2.924017738 a rational number
So Not A rational Number
I think :)
Good Luck:)))
Which of these functions has an inverse function? Select all that apply.
y = x
y = x^2
y = x^3
y = x^4
ANSWER
y=x
y=x³
EXPLANATION
A function, f(x) has an inverse if and only if
[tex]f(a) = f(b) \Rightarrow \: a = b[/tex]
Thus, the function is one to one.
For y=x or
[tex]f(x) = x[/tex]
[tex]f(a) = f(b) \Rightarrow \: a = b[/tex]
Hence this function has an inverse.
For the function y=x² or f(x)=x².
[tex]f(a) = f(b) \Rightarrow \: {a}^{2} = {b}^{2} \Rightarrow \: a = \pm \: b[/tex]
This function has no inverse on the entire real numbers.
For the function y=x³ or f(x)=x³
[tex]f(a) = f(b) \Rightarrow \: {a}^{3} = {b}^{3} \Rightarrow \: a = b[/tex]
This function also has an inverse.
For y=x⁴ or f(x) =x⁴
[tex]f(a) = f(b) \Rightarrow \: {a}^{4} = {b}^{4} \Rightarrow \: a = \pm \: b[/tex]
This function has no inverse over the entire real numbers.
Answer:
The function [tex]x=y[/tex] and [tex]y=x^{3}[/tex] are inverse function.
Step-by-step explanation:
Function inverse definition:
If a provided function f(x) is mapped x to y, then the inverse of the provided function f(x) is mapped y to x.
Or [tex]f(x)=f(y)\Rightarrow x=y[/tex]
Now, consider the function y = x.
Interchange the variables x and y.
[tex]x=y[/tex]
Now, solve [tex]x=y[/tex] for [tex]y[/tex].
[tex]x=y[/tex]
Therefore, this function has an inverse.
Consider the function [tex]y=x^{2}[/tex].
Interchange the variables x and y.
[tex]x=y^{2}[/tex]
Now, solve [tex]x=y^{2}[/tex] for [tex]y[/tex].
[tex]\pm \sqrt{x} =y[/tex]
Therefore, the function has no inverse.
Consider the function [tex]y=x^{3}[/tex].
Interchange the variables x and y.
[tex]x=y^{3}[/tex]
Now, solve [tex]x=y^{3}[/tex] for [tex]y[/tex].
[tex]\sqrt[3]{x}=y[/tex]
Therefore, the function has inverse.
Consider the function [tex]y=x^{4}[/tex].
Interchange the variables x and y.
[tex]x=y^{4}[/tex]
Now, solve [tex]x=y^{4}[/tex] for [tex]y[/tex].
[tex]\pm \sqrt[4]{x}=y[/tex]
Therefore, the function has no inverse.
Hence, the function [tex]x=y[/tex] and [tex]y=x^{3}[/tex] are inverse function.
HELP AND PLZZZ EXPLAIN!
18 + 3 |6 - 25| - 11
WHAT WOULD BE THE AMSWER?
Simplify 6 - 25 to -19
18 + 3| -19 | - 11
Simplify | -19 | to 19
18 + 3 × 19 - 11
Simplify 3 × 19 to 57
18 + 57 - 11
Simplify
= 64
A very small town has only five residents with the following incomes (all in thousands): $33, $24, $22, $45, $99. Find the median income.
Answer:$33,000
Step-by-step explanation:
Answer:
a.33,000
Step-by-step explanation:
Given h(f)=-2(t+5)^2 +4, find h(-8)
Answer:
h(-8) = 22
Step-by-step explanation:
Plug -8 in for t and simplify...
h(-8) = 2(-8 + 5)² + 4
h(-8) = 2(-3)² + 4
h(-8) = 2(9) + 4
h(-8) = 18 + 4
h(-8) = 22
Answer:
Step-by-step explanation:
Given h(f)=-2(t+5)^2 +4
There is an intermediate step which is
h(f) = -2(f + 5)^2 + 4
h(-8) = -2(-8 + 5)^2 + 4
h(-8) = -2(-3)^2 + 4
h(-8) = -2(9) + 4
h(-8) = -18 + 4
h(-8) = - 14
X^2 +x -4=O solve using the Quadratic formula. First what are the valubes of a,b,c?
A=1 B=1 C=-4 , you look at the numbers in order ! X is always going to be a 1.
How do I find the median for 77,82,87,85,32,78?
Answer:
80
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order. If there is no exact middle then the median is the average of the 2 values either side of the middle
Arrange the data in ascending order ( smallest to largest )
32, 77, 78, 82, 85, 87
There is no value exactly in the middle, use the average
median = [tex]\frac{78+82}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80
Which equation best models the relationship between x and y
Answer:
y = x + x or y+mx+b
Step-by-step explanation:
The first shows the relation in many different problems. But the second is used more for graphs of proportional value. You can use both in either case. But the y=x+x you would substitute the x with real numbers according to the problem.
Write 33% as a fraction in simplest form
Answer: the answer to 33% is around 1/3
Step-by-step explanation:
Answer:
33/100
Step-by-step explanation:
There is no way to simplify
What is 7/5 times 7/8?
Answer:
7/5 time 7/8 is exactly: 2 11/40
Step-by-step explanation:
Hello.
First we need to multiply across.
7 x 7 is 49 so that's our top number.
49
---- 5 x 8 is 40 so that would be our bottom number.
?
You would write it [tex]\fbox{49/40}[/tex].
As a mixed number it would be [tex]\fbox{1 9/40}[/tex] Note that it is not 19 if you read it wrong.
A right triangle has legs measuring 18 inches and 26 inches. What is the length of the hypotenuse
31.6 because a^2+b^3=c^2
Which expression represents the number of coins Sarah has.
Sarah has 16 coins, but spends some of them during the day.
A. C - 16
B. 16c
C. 16 - c
D. 16 + c
This answer gone be c.16-c
Answer:
is it 16 c or not
Step-by-step explanation:
what is the name of line segment an on the circle below
Answer:
C
Step-by-step explanation:
Let's break down the definitions.
diameter = a line across the circle that crosses the center
radius = a line from the center of the circle to any edge
chord = a line with both endpoints on the edge of the circle
arc = the outside part of the circle
Since this line has both endpoints on the edge of the circle and does not cross the center, the line is a chord.
Simply the expression 6x^2(3x)
Answer:
[tex]\large\boxed{6x^2(3x)=18x^3}[/tex]
Step-by-step explanation:
[tex]6x^2(3x)=(6\cdot3)(x^2x)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=18x^{2+1}=18x^3[/tex]
if you horizontally stretch the quadratic parent function, f(x)=x^2, by a factor of 3, what is the equation of the new function?
Answer: [tex]g(x)=\frac{1}{9}x^2[/tex]
Step-by-step explanation:
By definition, he quadratic parent function [tex]f(x)=x^2[/tex] is the simplest form of a quadratic function.
By definition, if the fucntion is multiplied by the factor b and:
|b|>0 the function is stretched.
If 0<|b|<1 the function is compressed.
Then the new function will have the form:
[tex]g(x)=(\frac{1}{b}x)^2[/tex]
Therefore, keeping the above on mind, if b=3, then the new function is:
[tex]g(x)=(\frac{1}{3}x)^2[/tex]
[tex]g(x)=\frac{1}{9}x^2[/tex]
Answer: g(x)=(1/3(x))^2
Step-by-step explanation:
Examine the linear equation. 8x – y = –6 Choose the slope-intercept form of the equivalent equation:
Step-by-step explanation:
The slope-intercept form can be obtained by solving for y.
8x-y=-6
-8x
-y=-8x-6
divide by negative 1 to turn y positive.
y=8x+6
Answer:
y=8x+6
Step-by-step explanation:
just took the prac. on edge
What is the pattern in the values as the exponents increase?
Answer:
Multiply the previous value by 2
Step-by-step explanation:
As the exponents increase,
(that is, they go from negative to positive)
-5,-4,-3,-2, -1,0
------------------------>
We see that each previous value is multiplied by a factor of 2
We can see the graph of the values in the picture below
what is 4 apples per pound
Answer:
It actually really depends on the size of the apples, say 1 pound of aan apple should be approx 3 medium-sized apples, so maybe for 3 pounds of an apple it would be around 9 medium sized apples.
Find the midpoint between −18 and 52.
I need to answer this and also EXPLAIN how I got it. Help pls
Answer:
1+4*2=10
Step-by-step explanation:
1 + 4 is equal to 5 then multiply 5 by 2 and you get 10
Step-by-step explanation:
Let's solve for x.
x+4y=10
Step 1: Add -4y to both sides.
⇒x+4y+−4y=10+−4y
⇒x=−4y+10
Answer:
x=−4y+10
* Hopefully this helps:) Mark me the brainliest:)!!
Lines
AB
and
AC
tangent to circle k(O) at B and C respectively. Find BC, if m∠OAB=30°, and AB=5 cm.
Answer:
5 cm
Step-by-step explanation:
If AB is tangent to the circle k(O), then radius OB is perpendicular to segment AB.
If BC is tangent to the circle k(O), then radius OC is perpendicular to segment AC.
Consider two right triangles ABO and ACO. In these triangles:
AO is common hypotenuse;∠OBA=∠OCA=90°, because AB⊥OB, AC⊥OC;OB=OC as radii of the circle k(O).By HL theorem, triangles ABO and ACO are congruent. Then
∠OAB=∠OAC=30°;AC=AB=5 cm.Hence, ∠BAC=∠OAB+∠OAC=30°+30°=60°.
Consider triangle ABC, this triangle is isosceles triangle. In isosceles triangles angles adjacent to the base are congruent, thus
∠CBA=∠BCA=1/2(180°-60°)=60°.
Therefore, triangle ABC is an equilateral triangle, so BC=AB=AC=5 cm.
Please help I will give brainliest please show work and find the volume of this odd looking pyramid
Answer:
206 2/3 ft³
Step-by-step explanation:
The volume of this solid is given by V = (1/3)(base area)(height).
Here, V = (1/3) (62 ft²) (10 ft ) = 206 2/3 ft³
What is the third quartile of this data set? *I NEED THE HELP ASAP* thx
I think the answer is 44
Which relationship describes angles 1 and 2?
complementary angles
adjacent angles
vertical angles
linear pair
Two parallel horizontal lines intersected by a vertical line with a square indicating a right angle in quadrant one of the top line and a one labeling the angle in quadrant two and two labeling quadrant four of the top line
Answer:
Step-by-step explanation:
1 and 2 are vertical angles
Mr. broun paid $3.30 in tax on a $55 motel bill. What percent of $55 was the Tax?
Answer:
That would be 6%.
Answer:
6%
Step-by-step explanation:
55(x)= 3.30
3.30/55 = .06
x=.06 which equals 6%
Kaleb used the distributive property to write two equivalent expressions. Use w = 5 and w = 10 to determine if the two expressions are equivalent. 12(w – 3) 12w – 36 When w = 5, both expressions have a value of 24. When w = 10, both expressions have a value of . Therefore, the expressions are equivalent.
When w is 5 both expressions have the same value 24.
When w is 10 both expressions have the same value 84.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Substitute w = 5
12 (w - 3)
= 12 (5 - 3)
= 12 x 2
= 24
And,
12w - 36
= 12 x 5 - 36
= 60 - 36
= 24
Now,
Substitute w = 10
12 (w - 3)
= 12 (10 - 3)
= 12 x 7
= 84
And,
12w - 36
= 12 x 10 - 36
= 120 - 36
= 84
Thus,
When w is 5 both expressions have the same value.
When w is 10 both expressions have the same value.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
When [tex]\( w = 10 \),[/tex]both expressions have a value of 84, and the expressions are indeed equivalent.
To determine if the two expressions [tex]\(12(w - 3)\) and \(12w - 36\)[/tex] are equivalent, we can evaluate both expressions for the given values of [tex]\(w\).[/tex]
When [tex]\(w = 5\),[/tex]we substitute [tex]\(5\)[/tex]into both expressions:
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(5 - 3) = 12(2) = 24\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(5) - 36 = 60 - 36 = 24\][/tex]
Both expressions evaluate to [tex]\(24\) when \(w = 5\).[/tex]
Now, let's evaluate both expressions when [tex]\(w = 10\):[/tex]
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(10 - 3) = 12(7) = 84\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(10) - 36 = 120 - 36 = 84\][/tex]
Since the values of both expressions are the same for [tex]\( w = 5 \) and \( w = 10 \),[/tex]we can conclude that the expressions are equivalent.
How many tables are needed ~~~~~PLEASE HELP
Answer:
it would be 5 tables
Step-by-step explanation:
1:6
2:10
3:14
4:18
5:22
just count by 4