(x + 5)(x – 5)
Multiply
Answer:
[tex] {x}^{2} - 25[/tex]
Step-by-step explanation:
[tex](x + 5)(x – 5) \\ \\ = {(x)}^{2} - {(5)}^{2} \\ \\ = {x}^{2} - 25[/tex]
Answer:
x²-25
Step-by-step explanation:
To do a sum like this, break up the first bracket and multiply by the second (terms from the first bracket is in bold in first few steps for clarity):
(x + 5)(x – 5)
x(x-5)+5(x-5)
x²-5x+5x-25
x²-25
What’s the best unit to measure the width of a stream.
Answer:
foot
Step-by-step explanation:
A stream is like a river, but is usually much smaller. Whether river or stream, the foot is the best measure of width.
Which of the follow triangles is similar to APOR?
Answer:
D
Step-by-step explanation:
For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.
The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if
(a) the angle in X is congruent (same) as the angle in Y
(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y
For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.
So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)
Answer A: 12/15 simplifies to 4/5, wrong answer
Answer B: 9/12 simplifies to 3/4, wrong answer
Answer C: 6/10 simplifies to 3/5, wrong answer
Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2
We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.
We get 6/7! That is the correct answer, so D is the triangle similar to PQR.
A random sample of 40 business days from the past year was taken from the store
records. For each day, the net income was determined. The sample standard
deviation was found to be $57.19. How many MORE business days should be
included in the sample to be 95% confident that the sample mean i of daily net
incomes is within $10 of the population mean p of daily net incomes?
Answer:
20,00,00
Step-by-step explanation:
Which equation matches line p?
Answer:
line p matches with the first equation
Step-by-step explanation:
please answer correctly it’s urgent!!
Answer:
Perimeter: 26 units
Area: 36 units
Step-by-step explanation:
EH = 4 units
HG = 9 units
GF = 4 units
FE = 9 units
Add them all up to find the perimeter
4 + 4 + 9 + 9 = 26
Then multiply the side by length to get the area
4 * 9 = 36
please help me asap!!!
Answer:
Already answered it
Step-by-step explanation:
In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book, and then reach in and select a notebook, are these independent events? Explain.
Answer:
No, because grabbing the math book changed the odds of grabbing the notebook.
These are not independent events as you didn't replace the first book so that changed the probability that you would draw a notebook second , Option C is the answer.
What is Probability ?Probability is the likeliness of an event to happen.
It is given that there are three math books, two science books, and five notebooks.
Total number of books = 3 + 2 + 5 = 10
The probability of drawing a mathbook is 3 / 10 = 0.3
and then if the mathbook is not replaced then the total outcomes for drawing a notebook changes.
Therefore they are not independent events and Option C is the answer.
To know more about Probability.
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[tex]\frac{28}{54} = \frac{2x+8}{5x-4}[/tex]
Step-by-step explanation:
step 1. what is the question? solve for x? okay.
step 2. 28/54 = (2x+ 8)/(5x - 4)
step 3. 28(5x - 4) = 54(2x + 8) (cross multiplication)
step 4. 14(5x - 4) = 27(2x + 8) (divide both sides by 2)
step 5. 70x - 56 = 54x + 216 (distributive property)
step 6. 16x = 272 (group x's and add 56 to both sides)
step 7. x = 17 (divide both sides by 16).
Find X intercept of f(x)=2(x-4)^2+2
Step-by-step explanation:
[tex]f(x) = 2( x - 4) ^{2} + 2 \\ f(x) = 2({x}^{2} - 8x + 16) + 2 \\ f(x) = 2 {x}^{2} - 16x + 32 + 2 \\ f(x) = 2 {x}^{2} - 16x + 34[/tex]
Help Please 15 points!!!
A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis.
For every 3 kiwis, there are 4
Answer:
83
Step-by-step explanation:
666
Answer:
Bananas
Step-by-step explanation:
How do you solve 2.5x + 10 = 50?
Answer:
I think the answered is x = 16 hope I right
Answer:
X = 16
Step-by-step explanation:
2.5x+10 = 50
distribute the ten to the other side by substracting
2.5x = 50-10
2.5x = 40
Now divide 2.5 on both sides
2.5x/2.5 = 40/2.5
x = 16
A bicycle path starts 5 miles due east of an intersection, and continues in a straight line to finish 8 miles due north of the same intersection. Let the intersection be represented by the point (0, 0). Suppose a cyclist rides the path from start to finish in 2 hours. Which parametric equations model the path of the rider?
The parametric equations that models the path of the rider are:
x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8What is a Parametric Equation?This refers to the type of equation that makes use of a parameter to define dependent variables.
Hence, we can see that to model the path of the rider, the parametric equation that can be best used is to model the direction of the bicycle which is moving 5 miles east and then continues 8 miles north, and the fact that they started at rest 0 and the equations to make the model are:
x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8
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what does the word "of" mean?
A. in addition to
B. multiply by
C. divided by
Answer:
B. multiply by
A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1, 140, write and solve an equation to find the number of couples attending the spring dance.
Please help me!! I have been stuck on this question for too long.
Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.
Step-by-step explanation:
there ya go this was hard
A pack of cinnamon-scented pencils sells for $9.00. What is the sales tax rate if the total cost of the pencils
is $9.27?
The sales tax rate is
How do you create and solve equations in one variable given a real–world situation?
Step-by-step explanation:
1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)
ex: if x+9=32
subtract 9 from both sides to get rid of it
x=23
2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it
you could multiply by 3 on both sides:
x+9=69
x=60
Answer:
1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)
ex: if x+9=32
subtract 9 from both sides to get rid of it
x=23
2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it
you could multiply by 3 on both sides:
x+9=69
x=60
Hope this helps!
Step-by-step explanation:
What is the median of 30,33,38,40,51,57,81,91?
Answer:[tex]{ \left[\begin{array}{ccc}45.5\\\\\end{array}\right] }{}\\\\\end{array}\right] } ----[/tex]
Step-by-step explanation: Hey, Basically we are going to arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Hope this helps!
A line goes through the point (-8,9), and has a slope of 3/4
Write in form of a Ax + B and C for this line
Answer:
[tex]y=\dfrac{3}{4}x+15[/tex]
Step-by-step explanation:
Given that,
A line goes through the point (-8,9), and has a slope of 3/4.
We need to express in the form of Ax+B for this line.
We have, m = 3/4
So,
[tex]y=\dfrac{3}{4}x+B[/tex]
Put y = 9 and x = -8 in the above equation.
[tex]9=\dfrac{3}{4}(-8)+B\\\\9=-6+B\\\\9+6=B\\\\B=15[/tex]
So,
[tex]y=\dfrac{3}{4}x+15[/tex]
It is the required equation of the line.
please help me asap!!!
Answer:
6
Step-by-step explanation:
NEED ASAP !! HELP PLEASE 10 PTS
Can I get help on this question? Please explain the process of how to solve it too.
Answer:
x = 13
y = 18.38
Step-by-step explanation:
tan 45 = x/13 (tangent = opposite / adjacent)
1 = x/13
multiply both sides by 13
x = 13
cos 45 = 13/y (cosine = adjacent / hypotenuse
0.7071 = 13/y
multiply both side by y
0.7071y = 13
divide both side by 0.7071
y = 18.38
Help me pls pls pls
Answer / Step-by-step explanation:
4 * (2 + 3) - 12
To get our final answer, we need to follow PEMDAS, which is :
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction
These mean that this is the order you will solve by what is in the question, let us start with the parenthesis.
(2 + 3) fits this description, therefore we add them together :
4 * 5 - 12
There are no more parenthesis and also no more exponents, so move onto multiplying.
4 * 5 - 12
20 - 12
Now subtract :
8
translate twise the sum of a and b,subtracted from c2 into algebraic symbols.
a.2a+b-c2
b.c2-2(a+b)
c.2(a+b)-c2
d.c2-2ab
Answer:
c)
Step-by-step explanation:
Can't be b) or d) because you have to substract... from c2, so it's not c2 -... And it has to be c) because in a) you don't have twice the sum of a and b, you only have twice a and than you add b.
So it's c)
what year is 40040040040049039qji34btuewrbgsnbbg snk g smart
A plane with the tailwind is 500 km/h. While going against the wind it is 410 km/h. What is the speed of the plane without wind?
Answer:
45
Step-by-step explanation:
Let the plane speed be x
Let the wind speed be y
x +y= 500.....equation 1
x -y= 410........equation 2
x + y= 500
-
x- y= 410
2x= 90
x= 90/2
x= 45
From equation 1, substitute 45 for x
x + y= 500
45 + y= 500
y = 500-45
x = 455
Hence the speed of the plane is 45
A researcher for a polling organization used a random sample of 1,540 residents in a city to construct a 95 percent confidence interval for the proportion of voters who would vote for candidate Jones. The resulting confidence interval was 0.480 ± 0.025. What is the correct interpretation of the confidence interval?
A proportion of 0.455 and 0.505 of respondents think that Jones has a 95% chance to win.
If 95% of all the voters voted, then Jones would receive between 45.5% and 50.5% of the votes.
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
If we repeatedly sampled voters from this city, taking samples of size 1,540, approximately 95% of those samples would have between 45.5% and 50.5% voting for Jones.
Answer:
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
Step-by-step explanation:
took the quiz
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
What is confidence interval?A confidence interval is a set of values used to estimate an unknown population parameter with a high degree of certainty. It is calculated from a sample of data and takes into account the sample's variability.
The polling organisation is 95% confident that the range of 0.455 to 0.505 accurately represents the proportion of all city voters who would vote for Jones.
This means that if the researcher repeated the sampling process a number of times and created a confidence interval for each sample, 95% of those intervals would contain the true proportion of all city voters who would vote for Jones.
Thus, it does not imply that the true proportion is 95% likely to fall within the interval.
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PLEASE HELP! ASAP PLEASE!
Answer:
4, it's an isosceles trapezoid, so sides TP and RA should be equivalent
Help&EXPLAIN
Don’t use for points or I’ll take it back and u will be reported
Answer:
103
Step-by-step explanation:
Every straight line's angle measurement is 180 degrees, so if one angle is 77 degrees, the other must be 103 degrees to equal 180. (77+103=180)
Hope this helps!