If s = 1 over 3 unit and A = 54s2, what is the value of A, in square units? ____ square units. (Input whole number only.)
Convert 1/ 3 to a fraction with denominator of 9
[tex]\frac{1}{9}[/tex] is the new fraction after converting or expanding the given fraction [tex]\frac{1}{3}[/tex] with the denominator 9.
Expanding a fraction:Expanding a fraction means making it "bigger".
How we expand a fraction?We can expand a fraction by multiplying the numerator and denominator with the same number.
According to the given question we have a fraction [tex]\frac{1}{3}[/tex].
Since, we have to convert or expand the given fraction with the denominator 9.
We know that 3× 3 = 9.
So, multiply the numerator and the denominator of the given fraction by 3.
⇒ [tex]\frac{(1 )(3)}{(3)(3)} = \frac{1}{9}[/tex]
Hence, we have converted or expanded the fraction [tex]\frac{1}{3}[/tex] with the denominator of 9.
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Need help ASAP WILL GIVE TEN POINTS FIVE QUESTIONS-
1
What is the solution to the inequality?
6x−5>−29
A x>−4
B x<4
C x>4
D x<−4
2
What is the solution to the inequality?
−4x−8>−20
A x>3
B x>−3
C x<−3
D x<3
3Solve.
−4.2y+2.1>−2.52
Drag and drop a number or symbol into each box to show the solution.
< > 0.1 1.1 4.62 −4.62
Y.(number) (number)
4 Solve.
−12x+13>35
Drag and drop a number or symbol into each box to show the solution.
< > −8/15 −4/15 4/15 8/15
x (number) (number)
What is the solution set?
−2.8x+5.6<8.4
Enter your answer in the box.
x (answer) plz help and ty
Answer:
Part 1) Option A [tex]x>-4[/tex]
Part 2) Option D [tex]x<3[/tex]
Part 3) [tex]y < 1.1[/tex]
Part 4) [tex]x<-8/15[/tex]
Part 5) [tex]x>-1[/tex]
Step-by-step explanation:
Part 1) we have
[tex]6x-5>-29[/tex]
[tex]6x>-29+5[/tex]
[tex]x>-24/6[/tex]
[tex]x>-4[/tex]
Part 2) we have
[tex]-4x-8>-20[/tex]
[tex]-4x>-20+8[/tex]
[tex]-4x>-12[/tex] -----> Multiply by [tex]-1[/tex] both sides
[tex]4x<12[/tex]
[tex]x<12/4[/tex]
[tex]x<3[/tex]
Part 3) we have
[tex]-4.2y+2.1 >-2.52[/tex]
[tex]-4.2y >-2.52-2.1[/tex]
[tex]-4.2y >-4.62[/tex] ----> Multiply by [tex]-1[/tex] both sides
[tex]4.2y < 4.62[/tex]
[tex]y < 1.1[/tex]
Part 4) we have
[tex]-(1/2)x+(1/3)>3/5[/tex]
[tex]-1/2x>(3/5)-(1/3)[/tex]
[tex]-1/2x>4/15[/tex] ---> Multiply by [tex]-1[/tex] both sides
[tex]1/2x<-4/15[/tex]
[tex]x<-8/15[/tex]
Part 5) we have
[tex]-2.8x+5.6< 8.4[/tex]
[tex]-2.8x< 8.4-5.6[/tex]
[tex]-2.8x< 2.8[/tex] ---> Multiply by [tex]-1[/tex] both sides
[tex]2.8x>-2.8[/tex]
[tex]x>-2.8/2.8[/tex]
[tex]x>-1[/tex]
Are the two triangles congruent?
What is the maximum number of distinct lines that can be drawn through 10 distinct points if no 3 of the points are collinear?
(4 + y = 19) what is y
On a map, 1.5 centimeters represents a distance of 45 kilometers. If two points on the map are 0.8 centimeters apart, what is the actual distance between the two points?
The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son age is s years, which equation models this situation?
a. (s+3)+[(7s-2)+3}=52
b. 3s+3+3(7s-2)= 52
c. s+(7s-2)=52
d. (s-3)+(7s-2)-3=52
Carolyn has cut a piece of ribbon 29 centimeters long from a roll. which instrument would she use to measure the length of the piece of ribbon?
Final answer:
Carolyn would use a ruler to measure the length of the piece of ribbon.
Explanation:
To measure the length of a piece of ribbon, Carolyn would use a ruler as the instrument. A ruler is a tool used for measuring small items and distances. It is commonly used for measuring in inches, which is the appropriate unit for short lengths like a piece of ribbon. Carolyn can align one end of the ribbon with the zero mark on the ruler and then extend the ribbon along the ruler to measure its length accurately.
The ruler's precision in measuring small distances, typically in inches, allows Carolyn to obtain a detailed and accurate measurement for the ribbon's length. Aligning the ribbon's end with the ruler's zero mark ensures a standardized starting point for consistency in measurements. This straightforward method showcases the practicality and ease with which rulers facilitate precise length measurements, making them essential tools for tasks requiring accuracy in determining dimensions.
Kohl's sells casual shirts for $9 and polo shirts for $18.00. Total sales were $1,080, and customers bought 4 times as many casual as polo shirts. How many casual shirts did Kohl's sell?
a. 40
b. 12
c. 20
d. 60
Nicholas used a $10 bill to pay for a granola bar that only costs p dollars. How much change did Nicholas receive from the cashier?
A photographer enlarges a photo by using a scale of 5. The length of the original photo is 7 in. What is the length of the enlarged photo? Enter your answer in the box.
Answer:
35
Step-by-step explanation:
35
Carly has 5 times as many markers as camden.Toegether they have 30 markers.How many markers does Carly have? How many markers does Camden have
Answer:
number of markers Camden has = [tex]5[/tex]
number of markers Carly has = [tex] 25[/tex]
Step-by-step explanation:
Let the number of markers Camden has = x
now it is given that Carly has 5 times as many markers as Camden has
Number of markers Carly has = 5 ( number of markers Camden has )
= [tex]5x[/tex]
now the total number of markers = 30
number of markers with Carly + number of markers with Camden = 30
so we have
[tex]5x+x = 30[/tex]
[tex]6x =30[/tex] ( adding like terms x and 5x)
[tex]x=\frac{30}{6}[/tex] ( dividing both sides by 6)
[tex]x= 5[/tex]
hence we have
number of markers Camden has = [tex]x=5[/tex]
number of markers Carly has = [tex]5x= 5(5) = 25[/tex]
A pillow that usually costs $20 is marked down 45%. Table Use the table to find the new price of the pillow. $9 $11 $29 $33
Answer:
$11
Step-by-step explanation:
20-9=11
Write an algebraic expression for the verbal description. the sum of two consecutive natural numbers, the first of which is n
The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points) Part B: What is an approximate average rate of change of the graph from x = 22 to x = 26, and what does this rate represent? (4 points
the complete question in the attached figure
part A
the x intercept 0 is the point where the ball was hit, the x intercept 20 is the point where the ball fell back to the ground, 20 feet away from the kicker.
the function is increasing in the interval x∈(0, 10) and decreasing in x∈(10, 20)
this means that the height is increasing in the interval (0, 10) and decreasing as x goes through the interval (10,20)
the distance from the kicker is increasing during the whole interval (0, 20)
part B
the rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases or increases in the interval
x =[A, B]
If two figures are congruent, their perimeters are equal true or false?
which of the following choices describe the bases of a cylinder? check all that apply.
a. discs
b. parallel
c. similar
d. congruent
Answer:
all apply
Step-by-step explanation:
All of the given descriptors apply. The bases of a cylinder are congruent parallel discs. Congruent figures are also similar.
Answer:
a,b,d
Step-by-step explanation:
In the diagram a || b. Use the diagram to answer the question. (Diagram not to scale.) Name the interior angle to 7
A. 1
B. 2
C. 6
D. 4
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Enter your answer in the box.
°
If p(q-r)x^2 +q(r-p)x + r(p-q) has equal roots,then, 2/q=??
a)p+ 1/r c)p+r
b) 1/p +r d) 1/p + 1/r
Use the diagram to complete the statement. Given JKL, sin(38) equals—
(Diagram is a right triangle. Angle K is 52 degrees and angle L is 38)
cos(38)
cos(52)
tan(38)
tan(52)
Answer:
Answer is b
Step-by-step explanation:
NEED HELP PLEASE :) ONLY 100% ANSWERS
1) An Egyptian pyramid has a square base that measures 80 meters on each side. If the height of the pyramid is 30 meters, what is the slant height of the pyramid?
2) A room in a bank is shaped like the rectangular prism shown below. The room has a security system that is triggered by two laser beams which stretch from Point A to D and Point B to C. How many total feet of laser beams are there?
*A 3-D rectangle 15 ft. length the back rectangle 12 ft. width the side 35 ft. width front*
Answer:
1) the slant height of the pyramid is 50 meters.
2) there are (approximately) a total of 80 ft of laser beams.
Step-by-step explanation:
1) The height of the pyramid (30 m) and half of the length of its base (40 m) form a rectangular triangle, where the slant height is its hypotenuse (H). From Pythagorean theorem:
H^2 = 30^2 + 40^2
H = √2500
H = 50 m
2) In the figure attached the rectangular prism is shown (point E was added).
The length of the laser beams is the addition of the segments AD to segment CB (which are equal).
We can make a rectangular triangle between points ECD. From Pythagorean theorem:
ED^2 = EC^2 + CD^2
ED = √(12^2 + 35^2)
ED = 37 ft
We can make a rectangular triangle between points AED. From Pythagorean theorem:
AD^2 = EA^2 + ED^2
AD = √(15^2 + 37^2)
AD ≈ 40
Then, there are (approximately) a total of 80 ft of laser beams.
Solve the following equation. Then place the correct number in the box provided. 9(x - 6) = 8(x + 6)
x=
y+2=−2(x−3)
Slope from equation
Problem
What is the slope of the line?
Please find below the given equation-
y + 2 = -2 ( x - 3 )
y + 2 = -2 x - 2(- 3)
y + 2 = -2 x + 6
y = -2 x + 6 - 2
y = -2 x + 4
Let's compare this equation with the form y = mx +c
By comparing we get,
m = -2 and c = 4
We know, in y = mx + c , slope of the line is given by m
Here m = -2, as discussed above
Therefore the slope of the given line is -2
Hope it helps ..!!
A toy rocket is launched from a platform 42 feet above the ground at a speed of 91 feet per second. The height of the rocket in feet is given by the polynomial −16t^2 + 91t + 42, where t is the time in seconds. How high will the rocket be after 3 seconds? HELP ASAP!!
A. 122 feetB. 218 feetC. 93 feetD. 2570 feet
The height of the rocket after 3 seconds is 171 feet.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
The height = -16t² + 91t + 42
After 3 sec means, t = 3, so we substitute t with 3
In order to find the height of the rocket after t seconds we plugin t = 3 in the function.
height H = -16t² + 91t + 42
H = -16(3)² + 91(3) + 42
= -144 + 273 + 42
= 171 feet
Thus, the height of the rocket after 3 seconds = 171 feet.
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Part 1.] Identify the following series as arithmetic, geometric, both, or neither. Includes picture
Part 2.] Evaluate C(3, 3)
A.] 1
B.] 6
C.] 24
Part 3.] Evaluate C(6,3)
A.] 20
B.] 120
C.] 720
Part 4.] How many subsets of four elements each exist in a set of seven elements?
A.] 4!
B.] C(7, 4)
C.] P(7, 4)
Part 5.] What is the probability of having 3 children that are all boys?
A.] [tex] \frac{1}{2} [/tex]
B.] [tex] \frac{1}{8} [/tex]
C.] [tex] \frac{3}{8} [/tex]
equation that passes through the points (-1,0)(0,2)
if you pay $26.50 for an item, including 6% sales tax, what was the original price?
WILL GIVE A BRAINLEST
What is the solution of x+4/2x-1<0 ?
To solve the inequality x + 4/2x - 1 < 0, first find the critical value x = 1/2. Then, test the intervals to determine the solution set x < 1/2.
To find the solution of the inequality x + 4/2x - 1 < 0, we can follow these steps:
First, find the critical values by setting the denominator, 2x - 1, equal to zero and solve for x. The critical value is x = 1/2.
Next, test the intervals created by the critical value in the original inequality x + 4/2x - 1 < 0. This helps determine the solution set which is x < 1/2.