Step 1
The number of pieces for 5 cuts is
[tex]7+4=11[/tex]Step 2
The general formula Tn, for the number of rope pieces is
[tex]\begin{gathered} a=3 \\ d=2 \\ T_n=3+(n-1)2 \\ T_n=2n+1 \end{gathered}[/tex]Step 3
How many rope cuttings will make up 153 rope pieces
[tex]\begin{gathered} 153=2n+1 \\ 152=2n \\ \frac{152}{2}=\frac{2n}{2} \\ n=76\text{ rope cuttings} \end{gathered}[/tex]Step 4
How many ropes pieces will result from 11 cuttings
[tex]\begin{gathered} T_n=2(11)+1 \\ T_n=23\text{ rope pieces} \end{gathered}[/tex]2 1/3 - 4/7
what is the answer to this question
The solution for the algebraic expression 2 1/3 - 4/7 is 37/21
Given,
The algebraic expression ; 2 1/3 - 4/7
We have to solve this expression;
First lets solve the mixed fraction 2 1/3
2 1/3 = (2 x 3) + 1 / 3 = 6 + 1 / 3 = 7/3
Mixed fraction;
A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
Now,
7/3 - 4/7 = (7 x 7) / (3 x 7) - (4 x 3) / (7 x 3) = 49/21 - 12/21
That is,
49/21 - 12/21 = (49 - 12) / 21 = 37/21
That is,
The solution for the algebraic expression 2 1/3 - 4/7 is 37/21
Learn more about mixed fraction here;
https://brainly.com/question/2753661
#SPJ1
please help!!!!
Submit a picture of your work :
Prove: All right angles are congruent. Use the definition of a right angle and the definition of congruent angles to prove
All right angles are congruent which is determined by the definitions of a right angle and congruent angles.
What are congruent angles?Congruent angles are two or more angles that are identical to each other. As a result, the measurements of these angles are equivalent.
Given that ∠1 and ∠2 are right angles.
By the definition of right angles i.e. right angle is one that is exactly 90 degrees. It is precisely one-quarter of a circle. When a pie is divided into four equal pieces, the tip of each slice forms a straight angle.
⇒ m ∠1 =90° ; m ∠2 = 90°
By the substitution to get
⇒ m ∠1 = m ∠2
Therefore, ∠1 ≅ ∠2
Hence, all right angles are congruent which is determined by the definitions of a right angle and congruent angles.
Learn more about the angles here :
https://brainly.com/question/28835566
#SPJ1
You don't need to explain if you don't want.
Answer:
1
Step-by-step explanation:
The absolute value of x is the black line, therefor the absolute value of x-1 is the blue line
Hope that helps
Five pulse rates are randomly selected from a set of measurements. The five pulso rates have a mean of 74 4 boats per minute. Four of the pulse rates are 84, 66, 79, and 57a. Find the missing valueb. Suppose that you need to create a list of n values that have a specific known mean. Some of thon values can be freely selected. How many of the n values can be froely assigned before the remaining valuesare determined? (The result is referred to as the number of degrees of freedom.)a. The missing value isbeats per minute
(a)
We have five pulse rates randomly selected with a mean of 74.4 beats per minute. We have four pulse rates given. We let x be the value of the fifth pulse rate. We have n equals 5 here since we have sample space of 5. We illustrate the mean of the pulse rates as
[tex]\begin{gathered} \operatorname{mean}=\frac{\sum x}{n} \\ \\ 74.4=\frac{84+66+79+57+x}{5} \end{gathered}[/tex]Let's solve for the value of x. We have
[tex]\begin{gathered} 74.4=\frac{286+x}{5} \\ 286+x=(74.4)\cdot5 \\ 286+x=372 \\ x=372-286 \\ x=86 \end{gathered}[/tex]Hence, the missing value is equal to 86.
Answer: 86
(b) The number of degrees of freedom is calculated using the equation
[tex]\text{Degrees of freedom}=n-1[/tex]We already identified that the sample space n is equal to 5. Hence, the degrees of freedom is equal to
[tex]\text{Degrees of freedom}=5-1=4[/tex]Answer: 4
Need help on this asap
Answer:
K=0 N=3 and I=-2
it's
3+-20= -17
if 5 people can finish 3 cups of rice,
how many cups of rice will 35 people
eat at the same rate
Answer:
21 cups
Step-by-step explanation:
This question tests on the the concept of Unit Conversion.
Unit ConversionUnit Conversions involving converting values into per unit values.
Example: 15 apples in 3 days = (15 ÷ 3) apples per day = 5 apples per day
ApplicationFor this Question, we are given:
5 people per 3 cups of rice.
We are asked to find the number of cups of rice that 35 people can finish.
5 people = 3 cups
(5 ÷ 5) people = (3 ÷ 5) cups
1 person = 0.6 cups
(1 × 35) people = (0.6 × 35) cups
35 people = 21 cups
stuck on this math question for years,! if anyone helps 12 points !!!
Answer:
3
Step-by-step explanation:
There are 4.5 diamonds, which represent 9 hours in total.
This corresponds to 9/3 = 3 circles.
Answer:
3 circles
Step-by-step explanation:
For the pig, it's 4.5 squares. Each square is two hours, and 4.5*2 is 9. Each circle is 3 hours, and 9 divided by 3 is 3. Therefore, the answer is 3 circles.
7/12 x 4x3 =? I need help
Cyphon, this is the solution:
We have to multiply the following fractions:
7/12 * 4/3
7 * 4 / 12 * 3
28/36
Simplifying, we have:
7/9 (Dividing by 4 numerator and denominator)
We have to add the following fractions:
- 1/2 + 4/9
Let's find the lowest common denominator between 2 and 9, as follows:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
9, 18, 27, 36
The lowest common denominator is 18
Triangle CDE is translated down and to the right, forming triangle C'D'E'.
E
C'
Which congruency statement is correct?
O ADCE AD'E'C'
~
ADCE AD'C'E'
AEDC AC'D'E'
AEDC AC'E'D'
D'
E
Ε'
Hence when ΔCDE is translated to ΔC'D'E', the congruency is correct ΔDCE ≅ ΔD'C'E'
What is translation of triangle?
Triangle is a shape with three angles, thus when it is translated downward, it returns to its original form.
Triangle will remain unchanged after translation since the length of the sides and the measure of the angles are not altered.
Translation involves moving the same triangle to a new location while maintaining the triangle's angle and side.
therefore,
CD ≅ C'D'
CE ≅ C'E'
DE ≅ D'E'
Hence, Option (B) is correct answer.
To know more about translation please visit:
https://brainly.com/question/12463306
#SPJ10
please help me fill in the boxes its due tomorrow
Answer:
1- 80 miles
2- 3 hours
3- 35 mph
4- 180 miles
5- 5 hours
6- 15 mph
Step-by-step explanation:
if you travel at 40 miles every hour, then in 2 hours you'll travel 80 miles.
Which one of these expressions doesn’t have a value less than 1 please help thank you if u do
The fourth option [tex](3^{5)^{2} }[/tex]/[tex](3)^{4}[/tex] does not have value less than 1.
What is Power or Exponent?Power of a number is defined as how many times to use the number in a multiplication. We also call Powers as Exponents or Indices. For example, [tex]8^{2}[/tex] could be called “8 to the power 2” or “8 to the second power”, or simply “8 squared”.
Step-by-step explanation:
In first option, [tex]4^{11}[/tex]/[tex]4^{14[/tex], if we solve this, the answer comes out to be 1/[tex]4^{3}[/tex] which will be 1/64 which is 0.015 that is lesser than 1.
In second option, [tex](5^{4)^{2} }[/tex]×[tex]5^{-11}[/tex],if we solve this, the answer comes out to be 1/[tex]5^{3}[/tex] which will be 1/125 which is 0.008 that is lesser than 1
In third option,[tex](2^{3)^{-2} }[/tex],if we solve this, the answer comes out to be 1/[tex]2^{6}[/tex] which will be 1/64 which is 0.015 that is lesser than 1
in Fourth option ,[tex](3^{5)^{2} }[/tex]/[tex]3^{4}[/tex] , if solve this, the answer comes out to be [tex]3^{6}[/tex] which will be 729 that is larger than 1
∴fourth option will be the answer.
To know more about Exponent, Visit:
https://brainly.com/question/219134
#SPJ13
What does it mean to say that a number is a perfect square? Give one example of a number that is a perfect square and one that is not. Explain your examples.
A perfect square is a number that is gotten by multiplying it by itself.
An example of a perfect square is 25 and one that is not is 7.
What is a perfect square?A square number, sometimes known as a perfect square, is an integer that is the square of another integer; in other words, it is the product of another integer and itself. For instance, 9 is a square number since it equals 3² and may be expressed as 3 × 3.
A perfect square is a number that can be written as the product of two integers or as an integer's second exponent. 25 is a perfect square because it is the product of the integer 5 and itself, 5 × 5 = 25. A perfect square is a positive integer formed by multiplying an integer by itself.
Learn more about square on:
https://brainly.com/question/27307830
#SPJ1
Find the area of thisirregular figure.9 ft8 ft15 ft26 ft
The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.
The required area can be determined as,
[tex]\begin{gathered} A=A_t+A_r \\ =(\frac{1}{2}\times8\text{ ft}\times9\text{ ft)+(15 ft}\times26\text{ ft)} \\ =36ft^2+390ft^2 \\ =426ft^2 \end{gathered}[/tex]Thus, the required area of the irregular figure is 426 square feet.
Find the value of each variable
Can someone pls answer thiss!! rlly need help asap
The inverse of f(x) will be a relation if the original function's graph contains any location where a horizontal line would cross itself twice, but the inverse of that function won't be a function in and of itself.
Does a function's inverse always represent a relationship?
Essentially, obtaining an inverse is only a matter of changing the x and y coordinates. Although it might not always be a function, this newly generated inverse will be a relation. Sometimes a function's inverse isn't actually a function!
The inverse will also be a function if all horizontal lines only ever intersect one place on the original graph.
To learn more about function's inverse refer to:
https://brainly.com/question/11735394
#SPJ13
A glacier is moving at a rate of 0.3 inches every hour. The table below represents this relationship.
Glacial Movement
Distance Moved (inches)
Time
(hours)
0.3
1
0.6
2
0.9
3
x
4
What value of x completes the table?
1.2
1.5
3.6
13.3
Answer:
1.2
Step-by-step explanation:
write an equation in slope-intercept form for the line with slope 4/3 and y-intercept -5
Remember the slope-intercept of a line is
[tex]y=mx+b[/tex]where:
• m ,is the slope of the line
,• b, is the y-intercept of the line
Now, let's substitute the data we're given. Thereby, the equation would be
[tex]y=\frac{4}{3}x-5[/tex]what’s the answer to this?
The correct option is B: They both are correct. The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.
What is referred as the translation?In geometry, translation refers to a function that shifts an object a specified distance. The component is not otherwise altered. It has not been rotated, mirrored, or resized.When performing a translation, this same initial object is referred to as the pre-image, as well as the object after translation is referred to as the image.for the given question.
The parent function is f(x) = x + 1.
The translated function is g(x).
As, it is shown in the graph that there is a shift of 4 units up as well as 4 units to the left of the original line.
It mean both Veronica and Drawn are correct.
Thus, The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.
To know more about the translation, here
https://brainly.com/question/1574635
#SPJ13
what does x = to in the equation 4x +4<9x +8?
The given inequality is expressed as
[tex]4x\text{ + 4 }\leq\text{ 9x + 8}[/tex]The first step is to collect like terms. Thus, we have
[tex]\begin{gathered} 4x\text{ - 9x }\leq\text{ 8 - 4} \\ -\text{ 5x }\leq\text{ 4} \\ \end{gathered}[/tex]We would find x by dividing both sides of the inequality by - 5. Since - 5 is negative, the inequality symbol would be reversed. Thus, we have
[tex]\begin{gathered} \frac{-\text{ 5x}}{-\text{ 5}}\ge\frac{4}{-\text{ 5}} \\ x\text{ }\ge\text{ }\frac{-\text{ 4}}{5} \end{gathered}[/tex]What is the linear equation for the line graphed below?
Answer:
y = -3x + 7
Step-by-step explanation:
Hello!
Slope-Intercept Form: y = mx + b
m = slopeb = y-interceptThe y-intercept of the graph, or the point where the graph intersects the y-axis, is 7.
We can find the slope by finding the Rise/Run.
The graph rises negatively by 3 units as it runs positively by 1 unit, so the slope is -3/1 or -3.
Given the slope and y-intercept, the equation of the line is y = -3x + 7.
Y-4x is equal to or less than -6
Answer:
don't forget to give me brainest
star, like.
this is the correct solution.
how can I covert this 0.688= to a fraction
You have to convert the following number into a fraction:
[tex]0.6\bar{8}\bar{8}[/tex]This is a periodic decimal number, which explicitely is 0.68888888....
In order to convert this number to a fraction you proceed as follow:
[tex]0.6\bar{8}=\frac{68-0}{99}=\frac{68}{99}[/tex]You put 0.68 and not 0.688 because to do the convertion you need only the first periodic number (that is, only the first 8). The key is to put in the numerator the complete number as whole number, that is, 68. To this number you subtract the whole part of the decimal number, this whole part is 0 because of the 0.688. Then, in the numerator you have 68 - 0. In the denominator you write a number composed only by 9's. The number of 9 numbers is determined by the number of digits of the first number in the numerator. That is two 9 numbers
Astronomers use a light year to measure distance. a light year is the distance light travels in one year. The speed is approximately 300,00km/sec. how long will it take a rocket traveling 63,000km/hr to reach Alpha Centauri (the ⭐ closest to Earth other than the ). Note: Alpha Centauri is approximately 4.34 light years from Earth. which is 4.11 x 10^13 km away (when using scientific notation). one light year is 9.46 x 10^12 km.
Speed of light = 300,000 km/sec
Rocket's speed = 63,000 km/hr or 6.3 x 10⁴ km/hr
Alpha Centauri distance from Earth = 4.11 x 10¹³ km
One light year (distance) = 9.46 x 10¹² km
To solve for the time it takes it travel, we can manipulate the speed formula.
[tex]\begin{gathered} \text{speed}=\frac{dis\tan ce}{\text{time}} \\ \text{time}=\frac{dis\tan ce\text{ }}{\text{speed}} \end{gathered}[/tex]We already have the distance of Alpha Centauri from Earth written above. We also have the speed of the rocket written above too. We will substitute those values to the formula.
[tex]\begin{gathered} \text{time}=\frac{4.11\times10^{13}\operatorname{km}}{6.3\times10^4\operatorname{km}\text{ /hr}} \\ \text{time}=0.6523809524\times10^9 \\ \text{time}=6.52\times10^8\text{ hr} \end{gathered}[/tex]hi I need help with this question anyone got answers??? please its due tmrrrr!!!!!
5 1/4 ÷ 2/4
Part A
Andy is scuba diving. he starts at sea level and then descends 10.5 feet in 2 1/2 minutes what was Andy’s average change in elevation in feet per minute?
Part B
If he continues at this rate, Andy will be … in relation to sea level
A. -20.25
B. -25.5
C. -27.3
D. 30.6
Marking brainliest for answereing both
a. The change in elevation in feet per minute is 4.2 per feet.
b. If he continues at this rate,then Andy will be -25.2 feet below sea level.
Given Andy starts scuba diving at sea level and then descends 10.5 feet in 2 1/2 minutes.
we need to determine Andy's average change in elevation in feet per minute =?
therefore rate of descent = total descent/total time
time = 2 1/2 minutes = 5/2 minutes.
= -10.5/5/2
= -4.2 feet per minute.
Part B.
If he continues at this rate,the relation to sea level after 6 minutes will be:
= -4.2 × 6
= -25.2
Hence we get the required answers.
Learn more about Distance and time here:
https://brainly.com/question/17146782
#SPJ1
Your question is incomplete. Please find the missing content below.
Andy is scuba diving. He starts at sea level and then descends 10.5 feet in 2 1/2 minutes.
Part A How would you represent Andy's change in elevation? Express your answer as an integer. Enter your answer in the box. feet per minute.
Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet
A. -20.25
B. -25.5
C. -27.3
D. 30.6
if square one is the largest of the three squares in the model,which statement is true?
_______________
I'm reading your question
___________________
According to the Pythagorean theorem
Hypotenuse ^2 = Side 1 ^2 + Side 2 ^2
The hypotenuse is the case (Square 1 )
area of the sqaure= side of the square^2
________________________
That means the area of 1 is = area of square 2 + area fo square3 (J is false)
_______________________________
We are not sure about the relation between square 2 and 3 just the addition is the square 1 (F and H we have no certainty)
______________________________
G is true
______________________________
Answer
G
11. FINANCIAL LITERACY The surf shop has a weekly overhead of $2300. b. How many skimboards and longboards must the shop sell each week to make a profit a. Write an inequality to represent the number of skimboards and longboards the shop sells each week to make a profit.
Skimboard costs 115 longboard costs 685
Please answer quickly
Answer:
[tex]y+2=\frac{5}{2} (x-6)[/tex]
Step-by-step explanation:
point-slope form: y-y1=m(x-x1)
x1=6
y1=-2
m=5/2
[tex]y+2=\frac{5}{2} (x-6)[/tex]
if A=D and C =F which additional statement does not allow you to conclude that ABC=DEF?1. AC=DF2.B=E3.BC=EF4.AB=DE
Given that 2 of the angles are congruent, we can conclude that the others angles are congruent too, because the sum of inner angles of a triangle is equal to 180. So the additional information we need is
[tex]\angle B\cong\angle E[/tex]And having that we could use AAA criteria. Also we could need AC = DF and use ASA criteria.
a candy manufacturer produces bags of jelly beans. the weight of a bag of jelly beans is normally distributed with a mean of 12 ounces and a standard deviation of 0.4 ounces. if a random sample of 4 bags of jelly beans is selected what is the probability that the sample average will be greater than 11.6?
Answer:
2%
Step-by-step explanation: