Answers
Answer:
B, C, D
Step-by-step explanation:
One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...
[tex]4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}[/tex]
Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.
[tex]4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}[/tex]
Of course, that repeated multiplication can be shown explicitly:
[tex]\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}[/tex]
The equivalent expressions to 4^(-3) are B, C, D.
_____
Additional comment
The expression of G evaluates to ...
[tex]\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}[/tex]
Related Questions
If ABCDE is translated 7 units to the right and 2 units up, what will happen to the polygon?
Answers
Answer:
D.
Step-by-step explanation:
It will move but stay the same size. You are translating the shape to a different spot, not adding onto its size.
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I hope this helps!
-No one
Use the calculator to find the product of 4.17 and 2.3 × 106. Which statements are true about finding the product? Check all that apply.
4.17 is equivalent to 4.17 × 100.
4.17 is equivalent to 4.17 × 101.
The product has a positive exponent.
The coefficient is 6.
The E in the product is the indicator that the solution is in scientific notation.
The exponent of the product is the product of the original exponents.
PLSSS HELP
Answers
Answer:
I'm assuming that "106" is really 10^6Step-by-step explanation:
4.17 is equivalent to 4.17 × 100. NO 4.17 x 100 = 417
[If this is really 4.17 is equivalent to 4.17 × 10^0. Then YES. 10^0 = 1]
4.17 is equivalent to 4.17 × 101. NO 4.17 x 101 = 421.17
Again, if this is 10^1, then no. 10^1 = 10
The product has a positive exponent. YES
The coefficient is 6.
Coefficient? NO. Exponent? Then YES
The E in the product is the indicator that the solution is in scientific notation. YES 4.17E6 is 4.17 x 10^6
The exponent of the product is the product of the original exponents.
NO. In multiplication, the exponents are added (as long as they have the same base)
EDGE 2022
PLS HELP
Ignore everything above and below the simplify question
Answers
How many edges does this shape have?
A. 6
B. 12
C. 16
D. 18
Answers
Answer:
B. 12
Step-by-step explanation:
Edges are the straight lines
1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra
line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?
Answers
Answer:
a) $92.75
b) $371
Step-by-step explanation:
Let x = number of lines in the ad
Let x = total charge per week to run the ad
Given:
Charge per week for first 4 lines = $35Charge per week for each additional line = $5.25Create equations based on the given information:
y = 35 for x < 4
y = 35 + 5.25(x - 4) for x ≥ 4
Part (a)
Given:
Jacqueline's ad = 15 lines⇒ y = 35 + 5.25(15 - 4)
= 35 + 5.25(11)
= 35 + 57.75
= 92.75
So the ad will cost $92.75 to run for 1 week.
Part (b)
Cost to run the ad for 4 weeks = 4 × cost of 1 week
= 4 × 92.75
= $371
What are the gradients and y intercepts of the following equation
y= x/4 + 3
Answers
Answer:
gradient: 1/4; y-intercept: 3
Step-by-step explanation:
In math, 'gradient' is another word for slope.
Here we have y = (1/4)x + 3. The coefficient of x is the slope or gradient: 1/4. The y - intercept is 3: (0, 3).
Answer:
Step-by-step explanation:
The equation is in y = mx + b form.
Here, m is the slope or gradient and b is the y-intercept.
[tex]y =\dfrac{1}{4}x+3\\\\\\Gradient =\dfrac{1}{4}[/tex]
y-intercept = 3
Please help ASAP
Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values.
3x^2 + kx - 8
Answers
Answer:
Any value of kStep-by-step explanation:
The quadratic expression can be factored into two binomials if it has two real roots.
Two real roots possible with non-negative discriminant:
D ≥ 0As D = b² - 4ac, we get the following inequality
k² - 4(3)(-8) ≥ 0k² + 96 ≥ 0k² ≥ - 96This is true for any value of k
k ∈ (- ∞, + ∞)Answer:
(-∞, ∞) or [tex]k \in \mathbb{R}[/tex]
Step-by-step explanation:
Binomial: two terms connected by a plus or minus sign.
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]
If a quadratic expression factors into two binomials, it will have two real roots. Therefore, the discriminant will be greater than zero.
Given quadratic expression:
[tex]3x^2+kx-8[/tex]
[tex]\implies a=3, \quad b=k, \quad c=-8[/tex]
Substitute the values of a, b and c into the discriminant, set it to > 0:
[tex]\implies k^2-4(3)(-8) > 0[/tex]
[tex]\implies k^2+96 > 0[/tex]
As k² ≥ 0 for all real numbers,
[tex]\implies k^2+96 \geq 96[/tex]
Therefore, the values of k are (-∞, ∞) or [tex]k \in \mathbb{R}[/tex]
Which of the x values are solutions to both of the following inequalities
100< X and x<150
Answers
From both equations
100<x<150Hence the solution set in interval notation
x[tex]\in[/tex](100,150)help me pls i really need help
Answers
Step-by-step explanation:
m<2: 65°( vertically opposite angle)
m<3: 180°-65°=115°(sum of straight line)
m<4: 180°- 65° = 115° (sum of straight line)
Draw a line between 5 and 6.m<5: 180°- m<7=180-115=65
m<7 = m<4=115°(corresponding angle)
m<8 = m<5 =65°(vertically opposite angle)
m<6=m<7=115°( vertically opposite angle)
in this way 10,11,12 will be find.
Please feel free to ask if you have any questionsPlease Mark me as Brainliest .
Thanks
Step-by-step explanation:
correct this answer
mark a brain less
Mrs. Evans gave her class a 100-page reading assignment. After 2 days, Kya and
Chase each have 64 pages left to read.
Each student writes a function f(t) to model the pages left to read, where t is the
number of days since the assignment was given.
Kya writes an exponential function that fits the data.
Chase writes a linear function that fits the data.
Drag equations to the table to show the functions they wrote
Answers
Answer:
kya- y= 100·(0.8)^t
chase= 100-18t
Step-by-step explanation:
I did the work on imagine math
The exponential function that fits the data is y= 100·(0.8)^t
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.
We are given that Mrs. Evans gave her class a 100-page reading assignment.
Since 2 days, Kya and Chase each have 64 pages left to read.
Each student writes a function f(t) to model the pages left to read, where t is the number of days since the assignment was given.
Kya writes an exponential function that fits the data as;
y= 100·(0.8)^t
Chase writes a linear function that fits the data as;
chase= 100-18t
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
15. What effect does reducing sample size have on s?
standard deviation and margin of error?
Answers
Step-by-step explanation:
I don't know I don't know this answer really I don't know this and so sorry sorry sorry sorry
The box-and-whisker plot below
represents some data set. What is the value of the first quartile?
Answers
Answer: 77 is right.
Step-by-step explanation:
In the given box-and-whisker plot, the value of first quartile is 85.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
From the given box and whisker plot,
Minimum=77
Maximum=92
First Quartile=85
Median=87
Third Quartile=89
Therefore, in the given box-and-whisker plot, the value of first quartile is 85.
Learn more about the box plot here:
https://brainly.com/question/1523909.
#SPJ2
You roll a number cube ten times and it lands on a 5 two times. What is the theoretical probability that it lands on a 5 on your next roll?
Answers
Answer:
2/10 = 1/5
Step-by-step explanation:
It landed five 2 times and you rolled it 10 times
will someone please help me?
Answers
Answer:
x=-1
Step-by-step explanation:
1.(-9-11)(-4)/-7^2+(11*2^2)
2. =-20/-4/-7^2+11(2^2)
3. =5/7^2+11(2^2)
4. =5/-49+11(2^2)
5. =5/-49+(11)(4)
6. = 5/-49+44
7.=5/-5
8. x=-1
Find the area of the shape shown below.
Answers
Answer:
12 cm²
Step-by-step explanation:
Area of triangle: bh/2 = (2)(3)/2 = 3
Area of square: bh = (2)(3) = 6
Total area of the shape = 2 triangles + 1 square
Total area = 2(3) + 6 = 12 cm²
I hope this helps!
Answer:
12
Step-by-step explanation:
You can find the area of the shape 2 different ways.
I'll show you both ways.
First Way: find the area of each individual shape that makes it up then add them together
We can find the area by finding the area of the rectangle and then the two triangles and then adding the two multiples together
Area of a rectangle = length × width
Length = 3 and width = 2
So area = 3 × 2 = 6
Now to find the area of the triangles
Area of a triangle = 1/2bh
Where b = base length and h = height
The base length is 2 and the height is 3
So area = 1/2 × 2 × 3 = 3
There are two triangles and they both have the same dimensions
So the area of both triangles = 2 × 3 = 6
Finally we add the areas together to get the total area
Total Area = 6 + 6 = 12cm²
Second way : Use the area of a trapezoid formula:
The shape shown is a trapezoid so we could also use the area of a trapezoid formula.
Formula : [tex]A=\frac{a+b}{2} h[/tex]
where a and b = base lengths and h = height
The base lengths appear to be 2 and 6 and the height is 3
So a = 2 , b = 6 and h = 3
Which means [tex]A=\frac{2+6}{2} 3[/tex]
Simplify addition
[tex]A=\frac{8}{2} 3[/tex]
simplify division
A = (4)3
Then multiply
A = 12cm²
(1+i)^2(x+yi)=4+5i
Solve for x and y
Answers
Answer:
x = 5/2
y = -2
Step-by-step explanation:
(1+i)² (x+yi) = 4+5i
(1+2i+i²)(x+yi) = 4+5i
(1+2i-1)(x+yi) = 4+5i
2i(x+yi) = 4+5i
2i²y + 2xi = 4+5i
-2y + 2xi = 4 + 5i
By comparing both sides,
-2y = 4
y = -2,
2x = 5
x = 5/2
i should know how to do this but its spring break and im scared and bored 8th grade math
Answers
Answer:
19 is B
Step-by-step explanation:
7/8 x 8x = 7x
7/8 x 16 = 14
I NEED THIS IN 10 MINUTES
Answers
Answer:
I believe the answer is C, the area of a circle, because pi is irrational, and anything multiplied by it will always result in an irrational number.
Step-by-step explanation:
I hope this helps and please mark me as brainliest!
a sector has radius 14 in central angle 120 find the area of the sector
Answers
Answer:
205.25072
Step-by-step explanation:
1. A(sector)=x/360πr^2
2. A(sector)=120/360π(14^2)
3. A(sector)=1/3π(196)
4. A(sector)=205.25072
5. Round as necessary
Can the following set be the domain of an odd function?
(-3,-2)U(2,3)
Answers
Yes, the given set can be the domain of an odd function if:
f(-3) = -f(3)
f(-2) = -f(2).
What is the domain of a function?For a function y = f(x), we define the domain of the function as the set of possible values of x that we can input into the function.
And an odd function is a function such that:
f(-x) = -f(x).
In this case, we want to see if the set:
(-3,-2)U(2,3) = (-3, -2, 2, 3)
can be the domain.
It would only be the domain of an odd function if:
f(-3) = -f(3)
f(-2) = -f(2).
If you want to learn more about odd functions, you can read:
https://brainly.com/question/1561362
pls answer (10 points given)
Answers
Answer:
C
Step-by-step explanation:
Its not greater than or equal to and its less than 6.
Answer:
A. x < 3
Step-by-step explanation:
2x < 6
Simplify:
2x < 6 <== divide both sides by 2
/2 /2
x < 3
Rules:
Open circle: < (going left) or > (going right)
Closed circle: ≤ (going left) or ≥ (going right)
For our answer: x < 3
It would be an open circle going left. The only number line that illustrates this is line A.
Hope this helps!
A local hamburger shop sold a combined total of 394 hamburgers and cheeseburgers on Wednesday. There were 56 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?
Answers
Answer:
Step-by-step explanation:
Total number of Hamburgers and Cheeseburgers = 394
Let the number of hamburgers = x
x + x - 56 = 394 Combine the left
2x - 56 = 394 Add 56 to both sides
2x - 56 + 56 = 394 + 56 Combine
2x = 450 Divide both sides by 2
2x/2 = 450/2
x = 225
Answer
225 hamburgers were sold169 Cheeseburgers soldPlease help me ASAP.
Answers
The 3 inside angles of a triangle need to equal 180.
X = 180 - 70 - 20 = 90
x = 90 degrees
What does s equal? (Write your answer like this: s = __)
Answers
Answer:
S= -15/5
the slashes are supposed to be fractions.
Step-by-step explanation:
what is 8(4 - x) = 7x + 2
Answers
Answer: x = 2
Step-by-step explanation:
8(4 - x) = 7x + 2= 8(-x + 4) = 7x + 2= -8x + 32 = 7x + 2= -8x + 32 - 32 = 7x + 2 - 32= -8x = 7x + 2 - 32 = -8x = 7x = 30= -8x - 7x = 7x + 30 - 7x= -15x = 7x - 30 - 7x= -15x = 30 -15x/-15 = -30/-15 = x = -30/-15= x = 2And thats how you get the answer!
What is the sun of this question somebody tell me
Answers
Answer:
2/10 +28/10020+28/10048/10012/25Answer:
first of all you have to take the L.C.M of both which will be 100
Step-by-step explanation:
[tex]2 \div 10 + 28 \div 100 \\ = \frac{20 + 28 }{100} \\ = \ \frac{12}{25} [/tex]
What is the sum of 2/5 and 1/8
Answers
3w + 4x – 15y + 6w + 7x + 7y
5w + 3y + 9x + 2x - 11y + 4w
7x - 3y + 12w + 5y - 3w + 4x
4w + 3x – y + 5w - 14x - 7y
how many of these are equal?
Answers
Answer:
3w, 4x, 4w, 7y, 7x, 3y, 5w,
Step-by-step explanation:
Hi please help me out I’m really struggling with geometry rn and I can’t afford to buy the tutor thing
Answers
Alright let's solve this problem step by step:
Question 1: Find the perimeterDefinition of Perimeter: basically all the side lengths added upThe figure is made up triangles
⇒ however, we do not know the slanted line that goes from the tip to
the edge of the base.
⇒ we can use the Pythagorean Theorem to help us
[tex]2^2 + (5.7)^2 = slanted-line^2\\slanted-line = 6.04[/tex]
Perimeter = 6.04 + 6.04 + 6.04 + 6.04 + 6.04 + 4 + 4 + 4 + 4 + 4
= 50.2 inches
Question 2: Find the slant heightDefinition of Slant height: is the distance measured along a lateral face from the base to the tip along the "center" of the face.
*look at image attached to better understand this definition
⇒ Slant height = 5.7inches
Question 3: Find the Lateral AreaDefinition of Lateral Area: area of the non-base faces only
Lateral Area = 5 * (Area of Triangle Faces)
= [tex]5 *(\frac{1}{2} *5.7 * 4) = 5*2*5.7 = 5 * 11.4[/tex]
= 57 in^2
Hope that helps!
1. What is the center of dilation used to dilate quadrilateral WXYZ to quadrilateral W'X'Y'Z'?
A. (-1,3)
B. (0,0)
C. (-3,4)
D. (-1,0)
Answers
Answer: I believe the answer is C. (-3,4)
Step-by-step explanation: