Answer:
Part A) The length of rectangle is [tex]3x[/tex] [tex]cm[/tex]
Part B) The perimeter of the square is [tex]3x[/tex] [tex]cm[/tex]
Part C) [tex]20[/tex] [tex]cm[/tex]
Part D) [tex]39[/tex] [tex]cm^2[/tex]
Step-by-step explanation:
Part A) Find the length of the rectangle
we know that
The perimeter of rectangle is equal to
[tex]P=2(L+W)[/tex]
we have
[tex]P=8x[/tex] [tex]cm[/tex]
[tex]W=x[/tex] [tex]cm[/tex]
substitute and solve for L
[tex]8x=2(L+x)[/tex]
[tex]4x=(L+x)[/tex]
[tex]L=4x-x=3x[/tex] [tex]cm[/tex]
Part B) Find the perimeter of the square
we know that
The perimeter of a square is
[tex]P=4b[/tex]
we have that
[tex]b=(1/4)L[/tex]
substitute the value of L
[tex]b=(1/4)3x=(3/4)x[/tex] [tex]cm[/tex]
Find the perimeter of the square
[tex]P=4(3/4)x=3x[/tex] [tex]cm[/tex]Part C) Find how many cm greater the rectangle's perimeter than the square's perimeter if x=4
Find the value of rectangle's perimeter
[tex]P=8x[/tex] [tex]cm[/tex] ------> [tex]P=8(4)=32[/tex] [tex]cm[/tex]
Find the value of square's perimeter
[tex]P=3x[/tex] [tex]cm[/tex] ------> [tex]P=3(4)=12[/tex] [tex]cm[/tex]
Find the difference
[tex]32[/tex] [tex]cm[/tex] [tex]-12[/tex] [tex]cm[/tex] [tex]=20[/tex] [tex]cm[/tex]
Part D) Find how many square cm greater the rectangle's area is than the square's area if x=4
Find the value of rectangle's area
[tex]A=(3x)(x)=3x^2[/tex] [tex]cm^2[/tex] ------> [tex]A=3(4^2)=48[/tex] [tex]cm^2[/tex]
Find the value of square's area
[tex]A=((3/4)x)^2[/tex] [tex]cm^2[/tex] ------> [tex]A=((3/4)(4))^2 = 9[/tex] [tex]cm^2[/tex]
Find the difference
[tex]48[/tex] [tex]cm^2[/tex] [tex]-9[/tex] [tex]cm^2[/tex] [tex]=39[/tex] [tex]cm^2[/tex]Which statement is true?
∞Σn=1 0.2(-3)^n-1 converges because r< 1.
∞Σn=1 0.2(-3)^n-1 diverges because |r| <1.
∞Σn=1 0.2(-3)^n-1 diverges because |r| > 1.
∞Σn=1 0.2(-3)^n-1 converges because r> 1.
The mode of the ratio of the sequence should be greater than one for the divergence. Then the correct option is C.
What are sequence and series?A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
We know that the condition of the converges of the series will be given as
[tex]\rm \Sigma ^{\infty}_{n=1} \ 0.2(-3)^{n-1}\ \ diverges \ because \ |r| > 1.[/tex]
The mode of the ratio of the sequence should be greater than one for the divergence.
More about the series link is given below.
https://brainly.com/question/10813422
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Answer: It’s C
Step-by-step explanation:
5-6y^2=113 solve by square roots
Answer:
[tex]y=\frac{\sqrt{113}-5 }{-6}[/tex]
Step-by-step explanation:
[tex](5-6y)^2=113[/tex]
[tex]\sqrt{(5-6y)^2} =\sqrt{113}[/tex]
[tex]5-6y=\sqrt{113}[/tex]
[tex]-6y=\sqrt{113} -5[/tex]
[tex]y=\frac{\sqrt{113}-5 }{-6}[/tex]
I hope this helps!
If the area of the following parallelogram is 30 square centimeters, what is the length of the base?
25 cm
5 cm
6 cm
150 cm
Answer: 6 cm
Step-by-step explanation:
The formula for the area of a parallelogram is
hb=a
Where
b is the base
h is the height (5 for this)
and a is the area (30 for this)
Let's sub these values into our equation
[tex]5b=30[/tex]
Divide both sides by 5 to isolate b
[tex]5b=30\\\frac{5b}{5} =\frac{30}{5} \\b=6[/tex]
The base is 6cm long.
Answer:
Base = 6 cm
Step-by-step explanation:
Given:
[tex]\text{Area of parallelogram} \text{ = 30 cm}^{2}[/tex]
[tex]\text{Height of parallelogram = 5 cm}[/tex]
Formula:
[tex]\text{Area of parallelogram} = \text{Base} \times \text{Height}[/tex]
Substitute the height and the area of the parallelogram:
[tex]:\implies 30 \ \text{cm}^{2} = \text{Base} \times 5[/tex]
Divide both sides by 5:
[tex]:\implies \dfrac{30}{5} = \dfrac{\text{Base} \times 5}{5}[/tex]
Simplify both sides:
[tex]:\implies 6 \ \text{cm} = \text{Base}[/tex]
Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calculate the coordinates for point B? 5 = square root of the quantity of x minus 6 all squared plus y minus 5 all squared 5 = square root of the quantity of x minus 5 all squared plus y minus 6 all squared 5 = square root of the quantity of x plus 6 all squared plus y plus 5 all squared 5 = square root of the quantity of x plus 5 all squared plus y plus 6 all squared
The distance of segment AB is the number of units on the segment
The equation that can be used to determine the coordinates of point B is [tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]
How to determine the equation?The given parameters are:
A = (6,5)AB = 5 unitsThe distance AB is calculated using:
[tex]AB = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}[/tex]
This gives
[tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]
Hence, the equation that can be used to determine the coordinates of point B is [tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]
Read more about distance equations at:
https://brainly.com/question/7243416
Answer:
√(x-6)² + (y-5)²
Step-by-step explanation:
The Distance Formula is √(x2 - x1)² + (y2 - y1)²
If you plug in the known values, you get √(x - 6)² + (y - 5)²
This is our answer.
1
N
3
5
6
B
10
56:0
What is the range of the function on the graph?
5
14
O all real numbers
O all real numbers less than or equal to -1
all real numbers less than or equal to 3
© all real numbers less than or equal to 0
-5-4-3-2-14
1 2 3 4 5 X
I
-2
-3
-4
-5
Answer:
pack you
pa brainliwa po
Which real-world scenario involves a right triangle?
Answer:
There are a few different scenarios
Step-by-step explanation:
Bathroom Tiles,Kitchen flooringTriangle Backsplash ( tile behind your sink in kitchenDrywall work if you need right edges, you will need a right triangleFinally any sort of contracting and Deck workFROM- THE GENIUS ANSWERER
What formula can we use to find the surface area of a rectangular prism?
Answer:
○ [tex]\displaystyle SA = 2lw + 2lh + 2wh[/tex]
Explanation:
A rectangle has four right angles, including two pairs of congruent edges, only containing two dimensions – height and length. Therefore, going three-dimensional, a rectangular prism has three dimensions – width, height, length. With this information, you should know what the answer is.
I am joyous to assist you at any time.
Pick one A,b,c,d,e will give brainlest
Answer:
E (simalr to the other one you posted)
Step-by-step explanation:
Denominator cannot equal 0 so domain (x values) cannot include 2
range: all numbers, buthere is no way to make a 0
Which expression is equivalent to 2(5z+3)?
Answer:
D
Step-by-step explanation:
That expression equals :
10z+6
So, now we need to find one of the expressions that ALSO gives us 10z+6
D
This is because:
2*3z=6z
2*2z=4z
----------------------
6z+4z=10z, so we got that one so far.
NEXT
2*3=6.
We got the 6 too!
it is d
Hi can someone help me pls
Answer:
f(x) = 45x + 5
Step-by-step explanation:
The parking fee for a minibus at an event is $5 entering the parking lot. There is an extra charge of $45 per passenger.
The formula that simulates the parking fee for this sentence is
f(x) = 45x + 5
This is because 45x represents the charge per passenger and we are using addition because the $5 minibus parking fee; to enter the parking lot - increases the total cost of the parking fee.
Which choice is the solution to the inequality below?
8x < 24
O A. x< 24
O B. x> 24
C. x>3
O D. x<3
Answer:
D
Step-by-step explanation:
8x < 24
divide both sides by the coefficient of x
8x/8 < 24/8
x < 3
what is the answer 2⅓+⅚
Answer:
3 1/6
Step-by-step explanation:
2+1/3+5/6
(1/3=2/6)
so 3/6+5/6 = 7/6
How many times larger is 8 x 10^9 than 4 x 10^3
Answer:
600
Step-by-step explanation:
10x9 =90
10x3=30
8x90=720
4x30=120
720-120= 600
Which graph of f(x) satisfies the conditions Limit of f (x) as x approaches 2 minus = –4 and Limit of f (x) as x approaches 2 plus = 0? HURRY WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!
The graph of f(x) that satisfies the condition of f(x)'s left sided limit at 2 being -4 and right sided limit at x = 2 being 0 is given by the first graph.
What is one-sided limit for function of single variable?In rough terminologies, the limit from one side is when we only use one side of the function with respect to the considered point of interest (in input) to predict the value of the function at that point.
For this case, we need to find the graph of the function f(x) from the considered 4 graphs for which:
[tex]\lim_{x\rightarrow 2^{-}}f(x) = -4\\\\\lim_{x\rightarrow 2^{+}}f(x) = 0\\[/tex]
For the first graph, for the point x=2, on left from the point x = 2 lies a ray. If thats the function, we can hope that the function will continue having the same line to the right too, so the prediction for value of function on x = 2 is the value that line gives for y.
That is -4.
Thus, prediction of function from left of x = 2 is -4, or
[tex]\lim_{x\rightarrow 2^{-}}f(x) = -4[/tex]
Similar to that, from the right of the point 2, there is some yellow curve. That predicts that the function's value at point x = 2 should be 0 (the yellow curve seems like touching the x-axis where y = 0 at the point x=2.
Thus, we have:
[tex]\lim_{x\rightarrow 2^{+}}f(x) = 0\\[/tex]
So graph first is correctly pertaining such function f(x).
Second graph when refered, we see that if we predict value at x =2 from left, the yellow curve in the left will make us predict that the function would be 0, so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = 0[/tex]
Thus, its wrong graph.
Third graph when refered, we see that if we predict value at x =2 from left, the green line in the left will make us predict that the function would be -2 at x = 2 (see the green point in the third graph), so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = -2[/tex]
Thus, its wrong graph.
Similarly, for the fourth graph, we see that if we predict value at x =2 from left, the yellow curve in the left will make us predict that the function would be 0, so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = 0[/tex]
Thus, its wrong graph.
Thus, the graph of f(x) that satisfies the condition of f(x)'s left sided limit at 2 being -4 and right sided limit at x = 2 being 0 is given by the first graph.
Learn more about one-sided limits here:
https://brainly.com/question/23625942
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Answer:answer a
Step-by-step explanation: got right on edge 2023
Leila had 160 dollars to begin with. She just spent k dollars. Using k, write an expression for the number of dollars she has left.
Answer:
160 - k dollars
Step-by-step explanation:
Hello!
If Leila has 160 dollars and spends the amount k, then you are therefore subtracting k from 160. This is because you are using the value of k from 160.
So the expression would be 160 - k dollars
6 Jenny is y2 years old and her daughter Allyson is y years old, If Jenny lives to the age of 13y,
Allyson will be y years old. How old is Allyson now? (Note: the difference in ages must
remain constant.)
Answer:
Allison is 7 years now, Jenny is 49 yeas now. Check. 13y = 13*7 = 91 will happen in 91-49 = 42 years. Jenny will be 7 + 42 = 49 years old at that time.
Step-by-step explanation:
Find the value of X.
Answer: 23
Step-by-step explanation:
ANSWER THE FOLLOWING:
Answer:
1. (a) 1/12
(b)35/36
(c) 31/36
2. Blue - 1/3
Red- 4/15
[tex] \tt(6x4−2x3 +7x2 −x) + ( 7x4+ 2x3−5x + 7)[/tex]
[tex] \\ [/tex]
With Solution!!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:\tt(6x {}^{4} −2x {}^{3} +7x {}^{2} −x) + ( 7x {}^{4} + 2x {}^{3} −5x + 7)[/tex]
[tex]\qquad \tt \dashrightarrow \:\tt6x {}^{4} −2x {}^{3} +7x {}^{2} −x + 7x {}^{4} + 2x {}^{3} −5x + 7[/tex]
Now, move all like terms aside :
[tex]\qquad \tt \dashrightarrow \:6 {x}^{4} + 7 {}x^{4} - 2 {x}^{3} + 2 {x}^{3} + 7 {x}^{2} - x - 5x + 7[/tex]
Add the like terms ~
[tex]\qquad \tt \dashrightarrow \:13 {}x^{4} + 7 {x}^{2} + 6x + 7[/tex]
Answer:
13(x)⁴ + 7(x)²-6(x) + 7
Explanation:
[tex]\hookrightarrow \sf (6x^4 -2x^3+7x^2-x)+(7x^4+2x^3-5x+7)[/tex]
remove the parenthesis
[tex]\sf \hookrightarrow 6x^4-2x^3+7x^2-x+7x^4+2x^3-5x+7[/tex]
group the variables
[tex]\hookrightarrow \sf 6x^4+7x^4-2x^3+2x^3+7x^2-x-5x+7[/tex]
add similar terms
[tex]\sf \hookrightarrow 13x^4+7x^2-x-5x+7[/tex]
simplify
[tex]\hookrightarrow \sf 13x^4+7x^2-6x+7[/tex]
382.85 rounded to three significant figures
Answer:
382.85
Sig Figs
5
382.85
Decimals
2
382.85
Scientific Notation
3.8285 × 10^2
E-Notation
3.8285e+2
Words
three hundred eighty-two point eight five
Step-by-step explanation:
simplify 8+6x6/11 +7×2.
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{44}{25}[/tex]
Step-by-step explanation:
1) Simplify 6 × 6 to 36.
[tex]\frac{8+36}{11+7*2}[/tex]
2) Simplify 8 + 36 to 44.
[tex]\frac{44}{11+7*2}[/tex]
3) Simplify 7 × 2 to 14.
[tex]\frac{44}{11+14}[/tex]
4) Simplify 11 + 14 to 25.
[tex]\frac{44}{25}[/tex]
0.7 is equivalent to what fraction
Answer:
7/10
Step-by-step explanation:
Fractional form of 0.7 is 7/10.
which is more likely to have a mass close to 3 kilograms small feather a five year old cat or a grown elephant or a peach. dont delete this question dbs at brainly (dbs = drag on balls)
Answer:
5 year old cat
Step-by-step explanation:
because a kg is about a pineapple
-15 divided by -1 2/3
Answer:
9
Step-by-step explanation:
15 / 5/3 = 15 x 3/5=9
Because a negative numebr divided by a negative number is always positive.
Answer:
9
Step-by-step explanation:
Sketch advertising firm charges $150 to design a full-color flyer and 12 cents per flyer to print the flyer. Rose's Sweet Shop spent $192 on the flyers for the grand opening. How many Flyers did she buy?
Answer:
210
Step-by-step explanation:
First, we keep $150 on the back of our minds(or our paper).
Second, we would assume that Rose's would've designed the flyer at $150, making us determine how much flyers they bought for the remaining $42.
($192 - $150 = $42)
Now that we know all of this, we can begin.
12 x 5 is 60, so 60 cents makes 1 dollar.
So for every dollar, they can make 5 flyers.
If we do 5 x 42, we'll get the answer of 210, which is the amount of flyers she bought!
Car A uses regular gasoline at $1.21 a gallon and gets 19 miles per gallon (mpg) in town. Assume that
you drive 100 miles a week, or 400 miles a month. What is your gas bill each month?
Answer:
Step-by-step explanation:
Remark
If you drive 400 miles a month, and you get 19 miles per gallon, then you will need
gallons = miles / miles per gallon
Givens
m = 400
mpg = 19
Cost per gallon = 1.21
Solution
gallons = 400 / 19 = 21.05
You need to buy 21.05 gallons
1 gallon costs 1.21
21.05 gallons cost x Cross multiply
x = 1.21 * 21.05
Answer: x = 25.47 Cost for 1 month's fuel.
3. The math exam scores for a class are shown below.
a
Make a data display. What percent of the scores are 90
and greater?
24, 68, 83, 75, 81, 99, 98, 80, 85, 70, 89, 92, 77, 96,
180, 64, 88, 96, 76, 88
Answer:
30 percent of the scores are 90 and greater
please show your work, tysm :D
~giving brainliest!~
Answer:
1/16th
Step-by-step explanation:
You can write this problem as a function of time.
Let x be the amount of acetaminophen that you start off with.
Let n be the amount of 2.5 hour intervals that have passed
x*0.5^n
The reason this function works is because with each 2.5 hour interval, you multiply the total product by another 1/2.
Plugging in 4(because 4 2.5 hour intervals in 10 hours), you get:
x*0.5^4,
which is x/16.
This shows that 1/16th of the acetaminophen is left in the body after 10 hours.
what is this number? 1,010,020,030,040,050,060,070,080,090,010,020,030,040,050,060,070,080,090,010,020,030,040,050,060,070,080,090,010,020,030,040,050 WILL MARK BRAINLIEST
Answer:
that isn't a number
Step-by-step explanation:
2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it. Which of the following statements is true?
A.Very little of the pizza is left.
B.About half of the pizza is left.
C.Most of the pizza is left.
Answer:
B.About half of the pizza is left.
Step-by-step explanation:
When we solve:
2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it.
We get 4/9.