Answer:
x²-10x+25
Step-by-step explanation:
expand the expression
(x-5)²
(x-5)(x-5) distribute
x²-5x-5x+25
combine like terms
x²-10x+25
if you get x^2-25 then you're only squaring the x and 5, you have to square the whole equation (x-5)(x-5) is doing (x-5)^2. for example, if you just had (5)^2 you would take the whole "equation" which is 5 and times that equation by itself.
x to the third power =8/27
Answer:
2/3
Step-by-step explanation:
2/3
2(-4y-7)+3=11 solve for y
Answer:
y = -11/4
Step-by-step explanation:
2 ( -4y - 7) + 3 = 11
-8y - 14 + 3 = 11
-8y - 11 = 11
-8y = 22
y = -11/4
Answer:
12
Step-by-step explanation:
-4 + 12 =7
First try was incorrect
Hall is baking a pie. The radius of the pie is 17 inches. What is the
area of the pie?
Use 3.14 for pi and round your answer to the nearest tenth.
label required
Answer:
907.5
Step-by-step explanation:
Formula to find the area of a circle: πr²
πr² = 3.14 x 17²
= 3.14 x 289
= 907.46
≈ 907.5
Hope this helps :)
1. Is a triangle with side lengths 6, 4, 3 a right triangle? Why or why
not?
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 6 , then 6² = 36
4² + 3² = 16 + 9 = 25
Since 4² + 3² ≠ 6² then triangle is not right.
Plz help with the problem in the picture. Thanks
Answer: x(0,0)y(0,0) tell me more I don't really understand it
x=3.4
Step-by-step explanation:
simplify the expression 4x+2-1/2x
answer 41x
Step-by-step
4.) A customer at a concession stand bought 2 boxes of popcorn & 3
drinks for $12. Another customer bought 3 boxes of popcorn & 5
drinks for $19. How much does a box of popcorn cost? How much does
a drink cost? Write and solve a system of equations
Equation 1 :
Equation 2:
Popcorn
Drink:
Answer:
10$ each
Step-by-step explanation:
Plz help me I’m stuck
Answer:
$10.50
Step-by-step explanation:
15% of 70 = $10.50
Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)
Answer: $10
Step-by-step explanation:
15%= 0.15
67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.
Where would the shape be located after a rotation of 90 degrees clockwise about the origin?
Answer:
It should be the first quadrant
Hope that helps!
What is 2/7+7/8
Help
Answer:
65/56 = 1 9/56
Step-by-step explanation:
Answer:
Step-by-step explanation:
16/56 + 49/56 = 65/56= 1 9/56
Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
a. This line's slope-intercept equation is ___________
b. 31 minutes after the experiment started, there would be ____________ grams of gas left.
c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone.
Answer: a. This line's slope-intercept equation: y=-9.7x+417.1
b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
Step-by-step explanation:
Linear equation: y=mx+c (slope-intercept equation)
, where m= rate of change in y with respect to change in x , c= Initial value.
Let y= Mass of remaining gas after x minutes.
m= -9.7 (given)
At x= 8, y=339.5
Thus,
[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]
a. This line's slope-intercept equation: y=-9.7x+417.1
b. At x= 31 minutes
y=-9.7(31)+417.1
⇒ y=-300.7+417.1
⇒ y=116.4
31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. Put y=0, we get
[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]
If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
6p² equals to..................
Answer:
36p is the correct answer
HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6
Answer:
E)
Step-by-step explanation:
1 - (69,000 / 42,000) = .64285 * 100% = 64.3%
Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh
Answer:
She scored in the 90th percentile.
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.
This means that [tex]\mu = 725, \sigma = 115[/tex]
She must score better than at least 75% of the students who took the test.
So her z-score should have a pvalue of at least 0.75.
Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?
We have to find the pvalue of Z when X = 874.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{874.5 - 725}{115}[/tex]
[tex]Z = 1.3[/tex]
[tex]Z = 1.3[/tex] has a pvalue of 0.9032
She scored in the 90th percentile.
Will Harriet be admitted?
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
Can someone please help me understand this and the answer
Answer:
x ≤ 2
Step-by-step explanation:
Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)
Answer:
85.99% of airline passengers incur this fee.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean 46 pounds and standard deviation 3.7 pounds.
This means that [tex]\mu = 46, \sigma = 3.7[/tex]
Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.
As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 46}{3.7}[/tex]
[tex]Z = 1.08[/tex]
[tex]Z = 1.08[/tex] has a pvalue of 0.8599
0.8599*100% = 85.99%
85.99% of airline passengers incur this fee.
Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.
Answer:
mineeeeeeeeeeee
Step-by-step explanation:
14) x - 27 0
3
X^3-27=0
X^3-27=0
Answer:
For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)
For the bottom, x = 3
Hope this helps! Have a grrrreat day lol
1 4/5 divided by 2 7/10
Answer:
2/3Step-by-step explanation:
In order to divide fractions, you'll have to multiply the first number by the second number's reciprocal.
So it would be 1 4/5 times the reciprocal of 2 7/10.
Reciprocal of 2 7/10 = Reciprocal of 27/10 = 10/27.
So 1 4/5 x 10/27 = 2/3
Answer:
2/3
Step-by-step explanation:
1 4/5 ÷ 2 7/10
Convert these into improper fractions
(Denomintaor × whole number + numerator)/denoninator
(5 × 1 + 4)/5
9/5
(10 × 2 + 7)/10
27/10
Now the equation says:
9/5 ÷ 27/10
Use the method copy dot flip, meaning rewrite the first fraction, change the division sign to multiplication, and use the reciprocal of the last fraction
9/5 × 10/27
Multiply the numerators and denominators separately
(9 × 10)/(5 × 27)
90/135
Simplify
Both 90 and 135 can evenly fit 15
90 ÷ 15 = 6
135 ÷ 15 = 9
6/9
This can still be simplified further
Both 6 and 9 can evenly fit 3
6 ÷ 3 = 2
9 ÷ 3 = 3
2/3
This cannot be simplified any further
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
What is the simplest form of the expression?
✓4502 +502 + 425
Assume all variables are positive.
Answer:
A. [tex] 8x\sqrt{5} [/tex]
Step-by-step explanation:
Given:
[tex] \sqrt{45x^2} + \sqrt{5x^2} + 4x\sqrt{5} [/tex]
Required:
Simplify
[tex] \sqrt{9*5*x^2} + \sqrt{5*x^2} + 4x\sqrt{5} [/tex]
[tex] 3x\sqrt{5} + x\sqrt{5} + 4x\sqrt{5} [/tex]
Add like terms
[tex] 8x\sqrt{5} [/tex]
if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?
Answer:
cost of 1 tie = 11
cost of 1 shirt = 52
Step-by-step explanation:
A restaurant has 23 tables. Some of the tables seat 4 persons and the rest seat two persons. In all, 76 persons can be seated at once. How many tables of each kind are there?
Answer:
15 tables with 4 seats and 8 tables with 2 seats.
Step-by-step explanation:
x = 4 seated tables
y = 2 seated tables
x + y = 23
4x + 2y = 76
Multiply first equation by -2 to cancel y's:
-2x - 2y = -46
4x + 2y = 76
2x = 30
x = 30 / 2
x = 15
And we said 23 tables so:
23 - 15 = 8
x = 15
y = 8
En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cual es el ancho real del castillo?
Ayúdenme porfavo ;w;
Responder:
1" = 83 ft
10.5" = 83*10.5=871.5 ft
Explicación paso a paso:
Espero que esto te ayude ¡UwU! Saludos, Jaclyn
Simplify the expression 2(10) + 2(x-4)
Answer:
Hello! :) have a good day!
2x + 12
Answer:
First: Multiply the numbers
2 x 10 + 2 (x -4)
20+2(x-4)
Secondly: Distribute
20+2(x-4)=
20 + 2x - 8
Thirdly: Subtract the numbers
20 + 2x - 8=
12 + 2x
Lastly: Rearrange terms
12 + 2x
2x + 12
And that would leave us with our answer 2x + 12!
Tina buys a briefcase online for 62.95. If shipping and handling are an additional 20% of the price, how much shipping and handling will Tina pay?
Answer:
Tina will pay $12.95 for shipping and handling.
Step-by-step explanation:
Because you literally just have to multiply $62.95 by .2 and you have your answer.
Milo has 5 rocks in his rock collection. He finds 40 rocks outside that he wants to put in his collection. If he places the rocks into boxes of 9, how many boxes of rocks will he have in his collection?
Answer:
puto el que lo lea
Step-by-step explanation:
jajajaja lol no
Answer:
5
Step-by-step explanation:
40+5=45. 45/9=5
Please help this is due today!
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
perdita is correct
Step-by-step explanation:
perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin
Consider the function f(x) =
9-x²/x² - 4
For which intervals is f(x) positive? Check all that apply.
1 (-00, -3) )
(-3, -2)
0 (-2, 2)
(2,3)
(00, 3)
Answer:
a c
Step-by-step explanation:
LMNP is a rectangle. Find the length of each diagonal. LN=x and MP=2x-9
Answer:
LN = MP = 9 units
Step-by-step explanation:
In rectangle LMNP, LN and MP are diagonals .
Measures of the diagonals of a rectangle are equal.
Therefore,
MP = LN
2x - 9 = x
2x - x = 9
x = 9
LN=x = 9 units
MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units