Answer:
[tex]x-3[/tex]
Step-by-step explanation:
The area of the flagpole base is [tex]x^2-6x+9\ \text{yd}[/tex]
where the factor of the equation is the length of the base.
In order to find the length we need to factorize the equation
[tex]x^2-6x+9[/tex]
[tex]=x^2-3x-3x+9[/tex]
[tex]=x(x-3)-3(x-3)[/tex]
[tex]=(x-3)(x-3)[/tex]
The length of the base of the flagpole is [tex](x-3)\ \text{yd}[/tex].
The area of a square base is the product of the side lengths.
The length of the base is x - 3
The area is given as:
[tex]\mathbf{Area =x^2 - 6x + 9}[/tex]
Expand
[tex]\mathbf{Area =x^2 - 3x - 3x + 9}[/tex]
Factorize
[tex]\mathbf{Area =x( x- 3) - 3(x - 3)}[/tex]
Factor out x - 3
[tex]\mathbf{Area =( x- 3) (x - 3)}[/tex]
Express as squares
[tex]\mathbf{Area =( x- 3)^2}[/tex]
Rewrite the area as:
[tex]\mathbf{Length^2 =( x- 3)^2}[/tex]
Take square roots of both sides
[tex]\mathbf{Length =x- 3}[/tex]
Hence, the length of the base is x - 3
Read more about area of squares at:
https://brainly.com/question/1658516
If a scale factor of 5 is used to make a reduction, what is the base of the original triangle?
Original triangle
Height
Base
Reduced triangle
3
5
0 1
O 10
O 15
O 25
Answer:
25
Step-by-step explanation:
took test on edge
The diameter of a circle is 4 miles. What is the circle's circumference?
Answer:
C ≈ 12.56 mi
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASGeometry
Diameter: d = 2rCircumference: C = 2πrStep-by-step explanation:
Step 1: Define
d = 4
Step 2: Find Circumference
Rewrite formula: C = πdSubstitute: C = 4πEvaluate: C ≈ 12.56
Carl's Comic Books bought a comic book from a wholesaler for $2.50. He marked the book up
at a rate of 60%. At what price will he sell the comic book to his customers?
Answer:
150 should be the answer
Help!! Please thanks
Answer:
i think you have chosen the right answer i don't really know its tricky for me
Step-by-step explanation:
helppp pls 20 points !!
What division problem can be represented using the number line?
A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
Answer:its b
Step-by-step explanation:
edge 2020
Answer:its b
Step-by-step explanation:
Find an equation of the line described. Write the equation in slope-intercept form when possible. Through (2,9) and (0,0)
Answer:
y=9/2x
Step-by-step explanation:
I used my notes.
have of a certain number is 3more than the number
Fraction of 7/12 in drawing
Answer:
I dont think we can answer that
Answer: Fraction of 7/12 equals to 58
Step-by-step explanation: When we have a fraction with a denominator of 100 , the numerator gives us the percent, since the word "percent" literally means per 100 .
Approximately 1 in 28 people of Ashkenazi Jewish descent are Tay-Sachs carriers. In randomly sampling one man and one woman from this population, what is the probability neither is a Tay-Sachs carrier? What is the probability both are carriers?
Answer:
a) probability that neither is Tay-Sachs carrier is 0.9298
b) the probability that both are carriers is 0.001276
Step-by-step explanation:
Given that;
1 in 28 people of Ashkenazi jewish descent are Tay-Sachs carrier.
so P(Carrier) = 1/28 =
also P( Not a carrier) = 1 - 1/28 = 0.9643
Now After Sampling 1 man and 1 woman from the population;
a)
the probability neither is Tay-Sachs carrier
P( Neither is a Carrier) = 27/28 × 27/28 = 0.9298
Therefore probability that neither is Tay-Sachs carrier is 0.9298
b)
the probability both are carriers
P( Both are Carriers) = 1/28 × 1/28 = 0.001276
Therefore the probability that both are carriers is 0.001276
The local gym is charging a flat fee of $10 per month to be a member. Each time you go to the gym you are charged $3. What equation would represent
how much you paying total for the month if x is equal to the number of times you go to the gym?
In the year that this exercise was written, there were 611 challenges made to referee calls in professional tennis single ppay. Among these challenges, 172 were upheld with the cell overturned. Assume that 30% of the challenges were successfully upheld with the cell overturned. Find the probability amonng the 611 challenges the number of overturned calls is exactly 172.
Answer:
i use this formula at school but when i simply calculate at my calculator, it says "math error" . i am sorry but i hope this formula helped
What is the length to XY? Enter only the number as an integer or decimal.
Answer:
11.25
Step-by-step explanation:
it is a dialation of 2.25:
12 x 2.25 = 27
and
8 x 2.25 = 18
so...
5 x 2.25 =
11.25
Brothers Inc. issued a 120-day note in the amount of $180,000 on November 1, 2019
with an annual rate of 6%.
What amount of interest has accrued as of December 31, 2019?
Answer:
Amount of interest = $1,805 (Approx)
Step-by-step explanation:
Given:
Amount invested = $180,000
Annual rate = 6%
Number of days = 61 days
Find:
Amount of interest
Computation:
Amount of interest = 180,000 x 6% x 61/365
Amount of interest = $1,805 (Approx)
Which choice is equivalent to the expression below √50-√2
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
Can 14,18 and 19 form a triangle?
Answer:
Yes
Step-by-step explanation:
Using the triangle formula: a+b>c , b+c>a , and c+a>b, we can conclude that these values can form a triangle because 14+18>19 , 14+19>18 , and 18+19>14.
Answer:
To confirm if this can form it, we take the lower of the two numbers , square them, and equal it to the biggest number squared. (AKA The Pythagorean Theorem).
Step-by-step explanation:
[tex]14^{2} +18^{2} = 19^{2}[/tex]
Now solve to see if it equates to be true.
196 + 324 = 361
520 [tex]\neq[/tex] 361
That means 14, 18, and 19 can't form a triangle.
Matthew went to a amusement park during his summer vacation. He went
with four of his best friends. The admission fee for the park was $10.50. The cost of each ride
ticket is $5.50. His favorite ride was the tilt-O-whirl. Matthew had $36.75 to spend at the
amusement park. How many ride tickets can Matthew buy?
Answer:
4 rides
Step-by-step explanation:
36.75-10.5= 26.25 cost of admission
26.25 divded by 5.5= 4.7777777
so 4 rides with left over change
Answer:he can buy 4 tickets
How old is Alberto if he will be 71 years old in thirteen years?
A.) 55
B.) 58
C.) None of the other answers are correct
D.) 45
E.) 84
Answer:
b. 58
Step-by-step explanation:
Answer:
Alberto is 58 (B) Plz Mark Brainliest Thanks :)
Step-by-step explanation:
71 -13= 58
A cube with a side of 1m was sawn into cubes with a side of 1 cm and then laid in a row (in a straight line). What was the length of this series?
Answer:
10 km
Step-by-step explanation:
volume of cube = s^3
1 m = 100 cm
volume = s^3 = (1 m)^3 = (100 cm)^3 = 1,000,000 cm^3
Since 1 m^3 = 1,000,000 cm^3, when you lay down the 1-cm cubes in a straight line with the edges touching, the line is 1,000,000 cm long.
1,000,000 cm = 10,000 m = 10 km
Help please thank you.
Answer: pick the third one
Step-by-step explanation:
1. How many terms are in 7y-2+9x-4?
Answer:
2 and they are x and y
Step-by-step explanation:
help please I’m struggling badly because Im bad at math
Answer:
40º
Step-by-step explanation:
if u look at the triangle it would show you
Answer:
40 degrees
Step-by-step explanation:
since JKM is congruent to PQR then,
Q is congruent to K so they have the same measure.
What is -7 as a fraction and explain plss
Answer:
-7/1
Step-by-step explanation:
any number over 1 in a fraction is the number on the top of one for example
2/1 is 2 and 100/1 is 100 and even -7/1 is -7
In the exam 45% students failed and 550 students were successful. Find the total number of students appeared in the exam .
Here,
Let the total number of students be x,
Then,
55% of x=550
x=1000
Answer:
i like to do the box method which would look like
x% l x - original number
---------------
100% l x
which would look like for this equation
45% l 550
---------------
100% l x
so you would times 550 by 100 and get 55000 then divide by 45 which is 1222. 22 repeating but there is no one half of a person so rounded up to 1222.00
1222 is your answer
Step-by-step explanation:
You are beautiful. You are amazing. You are wonderful. You are perfect just the way you are. Never worry about the way people think about you. Only worry if you like you. You are the most important person to yourself. Just be yourself. No can tell you who you can be. You are truly perfect just the way you are. Never tell yourself you are not good enough, you are enough. Never tell yourself "I'm ugly" you are beautiful. Never let yourself down.
Death. Hate. Blood. Sorrow. Regret. Judgement. Disgusted. Disrespect. Threats. Murder. Darkness. Sadness. Fearfulness. Tortured. Humiliated. Worry. Hopelessness. Depressed. Lost. Lonely. Suffering. Disappointment. Shame. Lies. Miserable.
There are so many words that can describe our world today. We are stuck in a world a darkness, we are stuck in a world of death. The is hat going everywhere, even if we try to get out of this hate, we are still living in hate. We can try over and over again to change, but there is always something that is going to stop us. There is always something that is going to keep us from moving forward.
We need to find a way to break away the things that stop us from becoming better, we need to learn better wats to live. It does not matter who you are, what you look like, just remember you are perfect just the way you are. We can be amazing, we can be change to our society.
We are acting like everything is alright, when we actual want to break down and cry. We are acting like we are brave, when we are scared and afraid. We are acting like when can do anything, when we think we can't do anything. We are acting like we love those who hate us because we are to afraid to say the truth. We are acting like people who are to afraid to show who they really are. We are acting like life is a fairytale, but it's actual a nightmare. We are acting like we are the most happiest people, but really we just want to curl up inside. We are acting like we want to stay, when we want to run away. We are acting like we a doing just fine, When we are about to give up. We need to change, don't worry about those who hate. Don't worry about the way you look. Don't worry about who you really are. Just be yourself. Just relax. Just the real person you our. It doesn't matter what they say. The only thing that matters is if you like you the real you, not someone you are trying to pretend to be, but the real you.
There is always love, when there's only hate. There is always hope, when hope seems lost. There is always someone, when we have no one. There is always a light, when in there is darkness. There is always a way out, when we are stuck. There is always happiness, when we feel only sadness. There is always angels, when we only see demons. There is always someone to talk to, when there seems no one to talk to. There is always beauty, when things get ugly. There is always hope. There is always love. There is always someone. There is always a light. We might want to give up. We might want to lose the fight. We might want to stop trying. We might want to run away. No matter what, no matter what's happening right now, no matter if there seem like everything is falling apart or there is just a feeling that you need to give up. Always remember there is someone out there who needs you. There is always someone to talk to. There is always hope. Don't give up, don't give up. As there is always love, hope and happiness.
Sometimes in life we need a dose of happiness, sometimes we need someone to talk to, sometimes we need someone to hold on to, but sometimes we just wanna be alone, sometimes we need no one to talk to or hold. Their are those with nothing at all and there are those who have everything, but sometimes we have nothing but still everything, sometimes we have everything but nothing. Sometimes we wonder, sometimes we don't. Sometimes we try but fail and sometimes we don't try but yet succeed. Sometimes we cry, sometimes we get mad. Sometimes we do wrong, sometimes we do right. Sometimes we hate, sometimes we love. Sometimes we get our heart broken, sometimes we break peoples heart. Sometimes we tell the truth, but we are still lying. Sometimes we just need to relax but yet we can't. Sometimes we need quiet in a big city. Sometimes we are afraid of the unknown and sometimes we are not. Sometimes we discover. Sometimes we challenged. Sometimes we fall in love. Sometimes we find joy in a room of sadness. Hope this helps, have a wonderful day.
The ages of the winners of a cycling tournament are approximately bell shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. The winner in one reason year was 26 years old
Answer:
200
Step-by-step explanation:
Which of the following is the solution to the equation 25(z − 2) = 125? (6 points)
z = −0.5
z = 5.5
z = 3.5
z = −2.5
Answer:
z=7
Step-by-step explanation:
25(−2)=125
25−50=125
Answer:
z=3.5
Step-by-step explanation:
took test
At a store, a basketball has been discounted 25% off the regular price. The sale price is $15.
Answer: 11.25
15/100= 0.15
0.15*25= 3.75
15.00-3.75= 11.25
I hope I helped you, heitorJB <3
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) x −41 −27 −8 −3 P(X = x) 0.29 0.35 0.21 0.15
Answer:
a) Mean is -23.47
b) Variance is 206.59
c) standard deviation is 14.37
Step-by-step explanation:
Given that;
x −41 −27 −8 −3
P(X = x) 0.29 0.35 0.21 0.15
X.P -11.89 -9.45 -1.68 -0.45
a) mean
Mean = ∑X.P = -11.89 + -9.45 + -1.68 + -0.45
Mean = -23.47
b) the variance
E(x²) = ∑x²P(X=x)
= (−41²×0.29) + (−27²×0.35) + (−8²×0.21) + (−3²×0.15)
= 487.49 + 255.15 + 13.44 + 1.35
= 757.43
So
Var(X) = E(x²) - [∑X.P]²
Var(X) = 757.43 - [-23.47]²
= 757.43 - 550.8409
= 206.5891 ≈ 206.59
Therefore Variance is 206.59
c) standard deviation
standard deviation SD(X) = √Var(X)
SD(X) = √206.5891
= 14.3732 ≈ 14.37
Therefore standard deviation is 14.37
Paulina sells beef in a competitive market where the price is $5 per pound. Her total revenue and total costs are given in the table below.
9514 1404 393
Answer:
see below
Step-by-step explanation:
Perhaps you want the table filled in.
Profit is the difference between revenue and cost.
Marginal anything is the change in that divided by the change in the number of units (pounds of beef). As you'd expect, the marginal profit is the difference between marginal revenue and marginal cost.
It is convenient to let a spreadsheet do these repetitive calculations.
classify the triangle based off of the measurements of its sides 30m, 30m
Answer:
i got it
its an isosceles triangle bc two sides are equal.
