Given:
The expression is:
[tex](-4)\times ...\times (-4) (11\text{ times})[/tex]
To find:
The exponential notation for the given expression.
Solution:
We know that
[tex]a\times a\times ...\times a(n\text{ times})=a^n[/tex] ...(i)
We have,
[tex](-4)\times ...\times (-4) (11\text{ times})[/tex]
Using (i), the given expression can be written as:
[tex](-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}[/tex]
Therefore, the exponential notation of the given expression is [tex](-4)^{11}[/tex].
Priscilla has 4.3*10^8 strands of hair on her head. Diego has 8.7*10^5 strands of hair on his head. How many more strands of hair does Priscilla have than Diego? Express your answer in scientific notation.
====================================================
Work Shown:
4.3*10^8 = 4.3 * 10^(3+5)
4.3*10^8 = 4.3 * 10^3*10^5
4.3*10^8 = 4.3*1000*10^5
4.3*10^8 = 4300*10^5
Priscilla has 4300*10^5 strands of hair while Diego has 8.7 * 10^5 strands. Subtract the values out front: 4300-8.7 = 4291.3
Then tack on the "*10^5" portion to get 4291.3*10^5
The difference in the number of strands is 4291.3*10^5
Convert this to scientific notation to get the final answer.
4291.3*10^5 = (4291.3)*10^5
4291.3*10^5 = (4.2913 * 1000)*10^5
4291.3*10^5 = 4.2913 * 1000*10^5
4291.3*10^5 = 4.2913 * 10^3*10^5
4291.3*10^5 = 4.2913 * 10^(3+5)
4291.3*10^5 = 4.2913 * 10^8
Note: The number 4.2913 * 10^8 expands out to 429,130,000 which is a little over 429 million.
please help me with this
9514 1404 393
Answer:
51.63 m²
Step-by-step explanation:
The relevant area formulas are ...
A = πr² . . . . . area of a full circle of radius r
A = LW . . . . area of a rectangle of length L and width W
A = 1/2bh . . . area of a triangle with base b and height h
__
The figure area is the sum of the areas of 1/2 a circle of radius 3 m, a rectangle with base 6 m and height 5 m, and a triangle with base 3 m and height 5 m. Using the above formulas, we find the area to be ...
A = (1/2)(3.14)(3 m)² +(6 m)(5 m) + 1/2(3 m)(5 m)
A = (14.13 +30 +7.5) m² = 51.63 m²
The area of the figure is about 51.63 m².
Dariu ha a 40-ounce port drink. He drink 18 ounce. Enter the percentage of ounce Dariu ha left of hi port drink
The percentage of ounce Dariu has left of his port drink is 55%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
It is given that Dariu ha a 40-ounce port drink.
He drank 18-ounce port drink.
First calculate what percentage of port drink Dariu drank.
The equation is -
= (18/40) × 100
= 45%
So, Dariu drank 45% of the port Drink.
Now, subtract the percentage Dariu drank from the 100% (40 Ounce) drink Dariu had -
100 - 45 = 55
Therefore, Dariu has 55% drink left.
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What is the domain of the function y=3[x?
-0
O 0
0 0
01
The domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function y = 3[x] is a piecewise function where [x] denotes the greatest integer function or the floor function, which returns the largest integer less than or equal to x.
The domain of the function is the set of all real numbers for which the function is defined.
As the greatest integer function is defined for all real numbers, the domain of the function y = 3[x] is also all real numbers.
Therefore, the domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.
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PLZ HELP ASAP!!!
I need help with part a and b
Answer:
ok so 4x-4y=8
4x-4×8=
4x-32
4x-10-32=
-40 -32= -72
Step-by-step explanation:
I think this is right sorry if I'm wrong
Answer:
We need to keep y on the left side only.
so we distribute the 4x to the right side.
that means:
4x - 4y = 8
-4x -4x
-4y = 8 - 4x
Now we divide by -4 on both sides
y = 8 - 4x/-4
-2 + x is y
Now for number 2:
Let's use -10 for x.
-2 -10 = -12
Marion compared the y-intercept of the function f(x) shown in the table below to the y-intercept of the function g(x) graphed below
What is the distance between the y-intercept of f(x) and g(x)
Answer:
difference is 12 units
Step-by-step explanation:
line shown has a y-intercept of -4
now find y-intercept of f(x) by first finding its slope:
(-2,0) and (2,-32)
m = (0+32)/(-2-2)
m = 32/-4
m = -8 (slope)
Now find the y-intercept (or 'b') from substituting into 'y=mx+b':
0 = (-2)(-8) + b
0 = 16 + b
-16 = b (y-intercept)
-16 - (-4) = -12
help i am super confused! this is for algebra 1 please help asap
Answer:
Well yes. So we know that our x intercepts are -2 and postive 3. If we look at the graph, we can see that when y=0, the quadratic is at both -2 and 3 for x.
Step-by-step explanation:
This might not be the full reason why this is the answer, but this is for sure part of why the factored form is correct
Sorry I cannot help more than that! :(
A lawn sprinkler can spray up to 20 feet. If it sprays in a circular pattern, what is the approximate area in square feet watered by the sprinkler?
Answer:
1256.64 square feet
Step-by-step explanation:
In this situation, 20 feet is the radius of the circle that is sprayed.
Use the area formula, A = [tex]\pi[/tex]r²
Plug in 20 as the radius and solve:
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](20)²
A = 400[tex]\pi[/tex]
This is approximately equivalent to 1256.64
So, the approximate area watered by the sprinkler is 1256.64 square feet
you and three friends spent $35 on tickets at the movies. Write and solve an equantion to find the price p of one ticket
Answer:
35/4=8.75
Step-by-step explanation:
You and your 3 friends add up to 4 people so you do 35 divided by 4 and get 8.75
Answer:
Step-by-step explanation:
35/3 = p
p = 11.67 per person
there's no explanation for it either sh trippin
solving for "xx"
[tex]\sqrt{xx - 2}=7\implies \sqrt{xx - 2}=7\implies (\sqrt{xx - 2})^2=(7)^2 \\\\\\ xx-2=49 \implies xx=51[/tex]
have to find x, y, and z,, someone help pls !!
A weightlifter can bench press up to 180% of his body weight. He weighs 190 pounds. What is the most he can bench press.
Answer:
342
Step-by-step explanation:
that dude strong
The most he can bench press is 342.
What is the most he can bench press?Given: A weightlifter can bench press up to 180% of his body weight. He weighs 190 pounds.
Based on the given conditions, formulate:
Convert 180 % into a decimal and multiply by 190
Convert 180 % into a decimal form: 1.8
Multiply 1.8 by 190
Simplify 1.8 [tex]\times[/tex] 190
= 342
Calculate the product or quotient: 342
The most he can bench press is 342.
The correct answer is 342.
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Simplify 10 1/2(1 1/7x+2/3)+5 5/6(2 2/5x+4 2/7)
Answer:
26x+32
Step-by-step explanation:
I’m not sure what it could be?
Answer:
B
Step-by-step explanation:
If x equals 1/4 then it must be B because:
All the sections are divided into fourths so 1/4 plus 3/4 is 1.
numbers divisible by 5
please give me at least 6
Answer:
5,10,25,30,35,30,35,40...
Step-by-step explanation:
Multiples of 5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
5,10,15,20,25,30,35,40,45.....
Step-by-step explanation:
just multiply 5 by consecutive natural numbers
plz mark as brainliest
ILL MARK YOU BRAINLEST IF YOU AWNSER PLEASE!! look at the photo and what is the measure of x? help me please!!
Answer:
32
Step-by-step explanation:
I know the answer is -2 but I need to show my work on how I got it
Answer:
-2
Step-by-step explanation:
6x + 10 = 1x
Subtract 6x from both sides.
10 = -5x
------------ Divide by -5
-5
-2 = x
6x + 10 = 1x
Subtract 10 from both sides
6x + 10 (-10)= 1x (-10)
6x =1x - 10
Subtract 1x from both sides
6x (-x) = 1x (-x) - 10
5x = -10
Divide both sides by 5
5x (/5) = -10 (/5)
x = -2
Hope that helps :)
The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.
v (t)=20,000 (0.86)'
Find the value of the car after 4 years and after 10 years.
Round your answers to the nearest dollar as necessary.
Value after 4 years:
Value after 10 years:
Answer:
4 years: $10,94010 years: $4,426Step-by-step explanation:
Given the value function v(t) = 20000·0.86^t, you want the value after 4 years and 10 years.
EvaluationPut the value of t in the formula where t is, and do the arithmetic.
The attached calculator output tells us ...
value after 4 years: $10,940
value after 10 years: $4,426
__
Additional comment
When you are asked to do the same evaluation with different numbers, it is convenient to process them as a list, or using a spreadsheet.
The domain of y = √√√x-5-1 is
DONE
3 of 8
P
10
1000
098
7
6
5
4
3
12
y
2
19
Ð
6
8x
The function domain is X≥5 Or in interval notation [5, ∞)
What is Domain definition?The domain of a function is the set of input or argument values for which the function is real and definedThe domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limitedIn mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the functionFind non-negative values for radicals x≥5solve x-5≥0:x≥5 function domain is X≥5 Or in interval notation [5, ∞)To learn more about Domain definition refers to:
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THANK YOUU!! You helped me on all of the ones i needed help on, that’s all! tysm
Answer:
See below.
Step-by-step explanation:
A. f(x) = x² - 8x + 12
E. f(x) = (x - 4)² - 4
F. f(x) = (x - 2)(x - 6)
simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6
The simplified value of x is 44 / 15 or 7 / 5 and value of y is -2
What is simplification?Simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Given that, simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6
1) 2(y-1) / 3 - 3(y-2) / 4 = 1
Multiplying by 12 to both sides,
8(y-1) - 9(y-2) = 12
8y-8 - 9y+18 = 12
-y + 10 = 12
y = -2
2) 3x = 44 / 5 = 2x+6
3x = 44 / 5
Multiplying by 5 to both sides,
15x = 44
x = 44 / 15
or,
44 / 5 = 2x + 6
Multiplying by 5 to both sides,
44 = 10x + 30
14 = 10x
x = 7 / 5
Hence, the simplified value of x is 44 / 15 or 7 / 5 and value of y is -2
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How do you factorise α²-b²
Answer:
this is perfect square a-bConstruct a quadratic polynomial whose zeroes are negatives of the zeroes of the
polynomial x
x2 − x − 12.
Given:
The given quadratic polynomial is :
[tex]x^2-x-12[/tex]
To find:
The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.
Solution:
We have,
[tex]x^2-x-12[/tex]
Equate the polynomial with 0 to find the zeroes.
[tex]x^2-x-12=0[/tex]
Splitting the middle term, we get
[tex]x^2-4x+3x-12=0[/tex]
[tex]x(x-4)+3(x-4)=0[/tex]
[tex](x+3)(x-4)=0[/tex]
[tex]x=-3,4[/tex]
The zeroes of the given polynomial are -3 and 4.
The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.
A quadratic polynomial is defined as:
[tex]x^2-(\text{Sum of zeroes})x+\text{Product of zeroes}[/tex]
[tex]x^2-(3+(-4))x+(3)(-4)[/tex]
[tex]x^2-(-1)x+(-12)[/tex]
[tex]x^2+x-12[/tex]
Therefore, the required polynomial is [tex]x^2+x-12[/tex].
A line intersects the points (0,-4) and (1,2) what is the slope intercept equation for this line?
Answer:
[tex]y=6x-4[/tex]
Step-by-step explanation:
First we have to know how to write a equation in Slope-Intercept Form!
Slope-Intercept Form: [tex]y=mx+b[/tex]
where y = y axis, m = slope, x = x intercept and b = y-intercept
Now start by solving the slope
To find the Slope, you must find two points
Two points will be: [tex](0,-4)[/tex] and [tex](1,2)[/tex]
Then use the Slope-Formula to identify the slope
[tex]m=slope[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2--4}{1-0}[/tex]
[tex]m=\frac{6}{1}[/tex]
[tex]m=6[/tex]
The Slope is 6
The y-intercept is already given by the point (0, -4)
Note: (this goes to this situation because the point has a 0 of x intercept)
doomdabomb: "I decided to answer this for fun just to earn some points but if you want you can take a look at this beautiful answer that i just made"
(a) On the axes provided, sketch a slope field for the given differential equation at the 9 points indicated.
A slope field for the given differential equation dy/dx = xy/2 at the 9 points indicated is shown below.
We know that a slope field represents the slope of a differential equation at certain vertical and horizontal intervals on the coordinate plane.
First we construct a table which contains the values of slope.
Consider given differential equation dy/dx = xy/2
where -1 ≤ x ≤ 1,
1 ≤ y ≤ 3
Let the slope be m
so, dy/dx = m
For x = -1, y = 1
m = (-1 × 1)/2
= -1/2
For x = -1, y = 2
m = (-1 × 2)/2
= -1
For x = -1, y = 3
m = (-1 × 3)/2
= -3/2
For x = 0, y = 1
m = (0 × 1)/2
= 0
For x = 0, y =2
m = (0 × 2)/2
= 0
For x = 0, y = 3
m = (0 × 1)/2
= 0
For x = 1, y = 1
m = (1 × 1)/2
= 1/2
For x = 1, y = 2
m = (1 × 2)/2
= 1
For x = 1, y = 3
m = (1 × 3)/2
= 3/2
So, the table is:
x/y 1 2 3
-1 -1/2 -1 -3/2
0 0 0 0
1 1/2 1 3/2
Therefore, the slope field is as shown below.
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1. Substitution is the second strategy for: *
a. solving a system of equations
b. finding the x-intercept and y-intercept
c. graphing an equation
The solution is Option A.
Substitution is the second strategy for solving a system of equations
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
ax + by = c be equation (1)
Let the second equation be represented as B
dx + ey = f be equation (2)
On adding or subtracting both the equations , we can eliminate one of the variables from the system of equations
And , to calculate the other variable , substitute the value of the variable in either of the equations to solve the system of equations
So , we will get the value of the variable x and y
Hence , the system of equations can be solved by substitution
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To prepare for a bake-off, Luis used 590 grams of flour each day for 3 weeks. How many kilograms did Luis use in those 3 weeks? 1 g = 0.001 kg Solve this on paper. Then check your answer on Zearn. Luis used kilograms of flour in 3 weeks.
Answer: [tex]12.39\ kg[/tex]
Step-by-step explanation:
Given
Luis used 590 gm of flour each day
If he continues to use it for 3 weeks
A week has 7 days; so 3 weeks have 21 days
The flour used in 21 days
[tex]\Rightarrow 21\times 590\\\Rightarrow 12,390\ g\ \text{or}\ 12.39\ kg[/tex]
Thus, [tex]12.39\ kg[/tex] of flour is used in 3 weeks
I am pretty sure its C but I might be wrong
Answer: I think it’s A
Step-by-step explanation:
But go for it
15 points...................................
Answer: D
Step-by-step explanation:
The statement says that the angles GIH and QRS must be the same measurement. To show that on diagrams, we use markings : if angles have the same markings, then it means they have the same measurement.
That way, we just need to see which diagram has the right measurements.
First, the angles GIH and QRS are the angles we see named by the letter in the center : then GIH and QRS.
So it must be the angles with letters of I and R that have the same markings.
A : doesn't work for I and R
B : doesn't work for I and R
C : doesn't work for I and R
D : works for I and R
it should be the D, of course if I didn't see well don't hesitate to make sure it's correct with what I said before :)
Answer:
the answer would be D
Step-by-step explanation:
the answer is D because of the person above me
You're working late one night and notice that the hard drive on your new computer is very active even though you aren't doing anything on the computer and it isn't connected to the Internet. What is the most likely suspect?
Answer:
The most likely suspect for the hard drive being very active even though the computer is not being used and is not connected to the Internet is malware. Malware is a type of software that is designed to cause harm to a computer system, and it can often run in the background without the user's knowledge.