Answer:
x² - 14x + 49
Step-by-step explanation:
Simplifying (x-7)²:
(x-7)²
= (x-7)(x-7)
= x(x-7) - 7(x-7)
= x² - 7x - 7x + 49
= x² - 14x + 49
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
2. Find the perimeter of a rectangle of
Length 13m with an area of 65m
Answer:
Perimeter = 36m
Step-by-step explanation:
Area = l x w
65m = 13m x w
5m = w
Perimeter = 2(l + w)
Perimeter = 2(13m + 5m)
Perimeter = 36m
Answer:
36m
Step-by-step explanation:
The equation for the area of a rectangle is A = w*l, where w = width and l = length
Since we already have the area and the width, we can plug those values into the equation to find the width (w)
A = w*l
65 = w*13
we can divide both sides by 13 to isolate the w variable, and we get that
w = 5
The equation for the perimeter of a rectangle is
P = 2(l +w)
P = 2(13 +5)
P =36
The perimeter is 36m
Find the slope of the line that passes through (-68, 47) and (-66, 33).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Quick please
Answer:
- 7Step-by-step explanation:
The slope formula:
[tex]m=(y_2-y_1)/(x_2-x_1)[/tex]Substitute the values to get:
[tex]m=(33-47)/(-66+68)=-14/2=-7[/tex]_________
[tex] \: [/tex]
(X1, X2) = (-68, 47)
(Y2, Y1) = (-66, 33)
Soo :
m = [tex]\frac{Y2 - Y1}{X2 - X1}[/tex]
m = [tex]\frac{33 - 47}{68 - 66}[/tex]
m = [tex]\frac{-14}{2}[/tex]
m = [tex]\boxed{\bold{-7}}[/tex]
Done.
Write the equation of a line, in slope intercept form,
that has a slope of 5 and an intercept of (0,-3).
Answer:
y = 5x -3
Step-by-step explanation:
Slope intercept form is y = mx + b
m = slope
b = the y intercept
The problem gives you a slope of 5, and it gives you the y interecept of -3.
Plug those into slope intercept form:
y = 5x -3
- Equation Editor A set of curtains normally
sells for $58.99. Roberta used a coupon
good for 20% off the regular price. To the
nearest cent, how much did Roberta pay for
the curtains before sales tax?
Answer:
89.99
Step-by-step explanation:
u add i48934yr84 r84
Roberta paid the amount of $47.19 for the curtains before the sales tax.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that equation editor A set of curtains normally sells for $58.99. Roberta used a coupon good for 20% off the regular price.
To determine the amount for the curtains before the sales tax
According to the given conditions, the solution would be as:
⇒ 58.99 × (1 - 20%)
⇒ 58.99 × (1 - 0.20)
Calculate the sum or difference and we get
⇒ 58.99 × 0.80
Apply the multiplication operation to get
⇒ 47.192
Round the number nearest to the hundredth,
⇒ 47.19
Therefore, Roberta paid the amount of $47.19 for the curtains before the sales tax.
Learn more about the percentages here:
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can someone help me with these:2: 302×10^-8. 3:6.8×10^3 . 4 : 9.1×10^-7. 5: 2.3 ×10^4 please need this by 12:10 pm
Answer:
Here are your answers!
302×10^-8 = 0.00000302
6.8×10^3 = 6800
9.1×10^-7 = 9.1e-7 OR 0.00000091
2.3 ×10^4 = 23000
Step-by-step explanation:
It looks like these are all questions that require you to move the decimal point. I suggest Following PEMDAS and doing the exponents first. Then counting the number of 0's in the simplified number and moving the decimal that many places. If the answer after solving the exponent is negative move to the left, if it is positive move to the right.
3. Which phrase best describes the function of the ATP molecule?
1. Carries energy
2. Destroy energy
3. absorbs energy
4. none of the above
Answer:
1.) Carries energy
Step-by-step explanation:
A good summary of an ATP molecule is a molecule that transfers energy between cells... meaning it carries energy from cell to cell. Furthermore, energy cannot be destroyed, and cannot be absorbed, only changed and transformed. This leaves us with two options, (1. Carries energy, and 4. None of the above). Since we already have a basic understanding of what an ATP molecule does, we can confidently determine that the correct answer is that an ATP molecule can best be described as carrying energy.
A home loan of £240 000 was paid off at £1 675
per month for 20 years. How much interest was
paid?
HELP PLEASE
Answer:
uyyyyy
Step-by-step explanation:
you pay in Albany for a $34 pair of pants? 8) At best buy they have a 42" TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%. What is the final cost? (Hint: Calculate the discount first and then the tax).
Answer:
$1,131.56
Step-by-step explanation:
$1250 x (1-15%) = $1,062.50 Discounted Price
$1,062.50 x 6.5% = $69.06 Sales Tax
$1,062.50 + $69.06 = $1,131.56
PLEASE HELP!! 20 POINTS EACH
Joe's dog ate 8 cans of dog food this week. Each can contained 58.7 grams of protein. How much protein was this in all?
Please and thank you!!
Answer:
443.2 grams
Step-by-step explanation:
Each can contains 55.4 grams of protein, and there are 8 cans, so the answer would be 55.4*8 = 443.2 grams.
1
Mr. Johnson wants to fill up his car's gas tank. The car has a 25 gallon gas tank and there are 4 gallons of gas already in the tank. Gas costs $3.04 for each gallon. Mr. Johnson has $50 to spend on gas. Will he have enough money. Show your work and justify your answer.
Based on the cost of filling of the car, we can infer that Mr. Johnson does not have enough to spend on gas.
The car can take 25 gallons of gas and already has 4 liters inside it. The quantity of gas Mr. Johnson has to buy is:
= 25 - 4
= 21 gallons
The price of a gallon is $3.04. The price of 21 gallons would be:
= Price of gas x Number of gallons
= 3.04 x 21
= $63.84
In conclusion, Mr. Johnson does not have enough to spend on gas because he has only $50 yet the gas will cost $63.84.
Find out more at https://brainly.com/question/21060271.
How would you teach something you have learned this year in Math to someone younger than you? Write more than 5 sentences
Answer:
ok here ya go
Step-by-step explanation:
A way that I would teach someone something that I learned in math this year to someone else is simple. I would start by writing everything out so that they have a visual of what I am teaching them. I would also use a visual of a real world situation so that it relates to something they would understand. Teaching someone younger than you means they probably will not understand as easy as you understood it so, I would be very slow and make sure if they are confused to help them. I would also make sure not to be too bossy, understanding that they may not understand and that is ok.
There is 20% of fat in a 280g 32 piece chocolate bar. How much fat is in 4 pieces?
need help pleeeeeeeeeease
Answer:
60 square km
Step-by-step explanation:
First, seperate the figure into two as a rectangle and a trapezium by drawing a line from the vertex between the lines which are 8km and 5km long until it reaches the line on the bottom. (11km) Then, find the area of the rectangle by multiplying 8 by 6, which gives an answer of 48 square km. Then, find the area of the trapezium using the equatiuon 1/2 (a+b) h. Here, a and b are the two parallel lines of the trapezium, which are the lines 2km and 6 km long, and h means the perpendicular height which is 3km long (by substracting 8 from 11, you get 3). you get the answer as 12 square km. finally, add up 12 and 48 to get 60 square km.
For how many shoe strings will Toby and Marie have the same amount of money in the account? Must show your work by making a table or solving algebraically by setting the equations equal to each other.
Answer:
we need more information to solve your problem.
Step-by-step explanation:
It is first down in a football game. Your team has the ball at your 25-yard marker, and the play is a successful run for 6 yards.
Where does the ball end up? Where is the ball relative to where it started? Use the number line to find the answer.
Enter the correct answers in the boxes.
Answer:
the ball would be at the 31 yard line, because you are moving 6 yards closer to midfield which would be 50, and the end zone if he ran all the way there would be 69 more yards
1.
What is misleading about the graph?
"MASSIVE INCREASE IN
HOUSE PRICES THIS YEAR!”
What is the measure of NRS?
Answer: c I believe
Step-by-step explanation:
3x – 15 = 39
=
What does x equal
Answer:
X=18
Step-by-step explanation:
To isolate X you need to get rid of the -15 to do that you can add 15 on both sides of the equation resulting in 3x=54 now you need to divide both sides by 3 to get x on its own which is X=18.
what is the slope of the line?
Answer:
Slope = -3
Step-by-step explanation:
From (-1,0) to (0,-3), the line has a change of -3/1 (change in y/change in x) or -3
what is the percent of games won if a team won 92 games and lost 58 games?
Answer:
I think this is it 61.33
Have a blessed day <333
Step-by-step explanation:
The prices (in dollars) for a particular model of digital camera with 6.0
megapixels and an optical 3X zoom lens are shown here for 10 randomly selected online
retailers. Find 95% confidence interval of the true mean price for this particular
model.
225 240 215 206 211 210 193 250
225 202
Using the data given, the 95% confidence interval of the true mean is (205.20 ; 230.20)
Given the data :
225 240 215 206 211 210 193 250 225 202The confidence interval is defined as :
Since, sample size ls less than 30 we use a t-distribution table :
[tex] C.I = \bar{x} ± t_{α/2, n-1} \frac{s}{\sqrt{n}}[/tex]
Zcritical = [tex]t_{0.05/2, 9} = 2.26 [/tex] n = sample size = 10Using a calculator :
Mean, [tex]\bar{x} = 217.7 [/tex] Standard deviation, σ = 17.49Lower boundary = [tex] 217.7 - 2.26(\frac{17.49}{\sqrt{10}}) = 205.20[/tex]
Lower boundary = [tex] 217.7 + 2.26(\frac{17.49}{\sqrt{10}}) = 230.20[/tex]
Therefore, the confidence interval is (205.20 ; 230.20)
Learn more :https://brainly.com/question/25173276
The confidence interval is simply a range that contains the true mean of the population
The 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]
The given parameter is:
[tex]\mathbf{n = 10}[/tex]
Start by calculating the degree of freedom
[tex]\mathbf{df = n - 1}[/tex]
[tex]\mathbf{df = 10 - 1}[/tex]
[tex]\mathbf{df = 9}[/tex]
Next, calculate the mean
[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]
[tex]\mathbf{\bar x = \frac{225 + 240 + 215 + 206 + 211 + 210 + 193 +250 + 225 + 202}{10}}[/tex]
[tex]\mathbf{\bar x = \frac{2177}{10}}[/tex]
[tex]\mathbf{\bar x = 217.7}[/tex]
Calculate the standard deviation
[tex]\mathbf{\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}}[/tex]
[tex]\mathbf{\sigma = \sqrt{\frac{(225 -217.7)^2+ (240 -217.7)^2+..........+ (202 -217.7)^2}{10-1}}}[/tex]
[tex]\mathbf{\sigma = \sqrt{\frac{2752.1}{9}}}[/tex]
[tex]\mathbf{\sigma = 17.49}[/tex]
Calculate the standard error
[tex]\mathbf{SE = \frac{\sigma}{\sqrt n}}[/tex]
[tex]\mathbf{SE = \frac{17.49}{\sqrt {10}}}[/tex]
[tex]\mathbf{SE = 5.53}[/tex]
At 95%, df = 9. the t-value is:
[tex]\mathbf{t= 2.262}[/tex]
So, the confidence interval is:
[tex]\mathbf{CI = \bar x \pm t \times SE}[/tex]
So, we have:
[tex]\mathbf{CI = 217.7 \pm 2.262 \times 5.53}[/tex]
Split
[tex]\mathbf{CI = (217.7 - 2.262 \times 5.53, 217.7+ 2.262 \times 5.53)}[/tex]
[tex]\mathbf{CI = (205,19, 230.20)}[/tex]
Hence, the 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]
Read more about confidence intervals at:
https://brainly.com/question/2396419
George is looking at stock market charts. He can buy a collection of stocks for 6 shares for $618. How much would it be for 11 shares?
During the All Stars Skills competition, a puck was launched through the air at a
speed of 41 km/h from a height of 2.5 cm. The algebraic model of the path of the
puck is defined by h = -4.9+ + 41t +0.025, where h represents height in cm and t
represents time in seconds.
1.Construct a table of values for the first 10 seconds of the puck's movement.
Round to 0 decimal places.
2.Using graph paper, graph the data points. Join with a smooth curve. Scan your
graph.
3.Approximately how long before the puck will hit the ice?
4.For what values of time is the height invalid?
Answer:
put it in desmos and turn it into table
In a triangular prisim how many vertices does it have
Answer:
6
Step-by-step explanation:
MATH
PLEASE HELP!!!!! ASAP
thank you so much!
Answer:
a. 53.68
b. 53.53
Step-by-step explanation:
a. Step 1: Approximate the value for [tex]\sqrt{62}[/tex]:
Since [tex]\sqrt{62}[/tex] is close to [tex]\sqrt{64}[/tex] (which is 8), this value can be approximated as a number that is less than but very close to 8. I chose 7.9.
The expression becomes 6(7.9)+2π
Step 2: Approximate the value for 2π
Since π is approximately 3.14, 2π is approximately 6.28.
The expression becomes 6(7.9)+6.28
Step 3: Use order of operations
6(7.9)+6.28=47.4+6.28=53.68
b. Step 4: If allowed, use a calculator to check how close your approximation is to the actual value
[tex]6\sqrt{62} +2\pi =53.5272[/tex]
The approximation 53.68 is decently close to the actual value, so no minor math errors were made.
Answer:
54 and 53.53 see below
Step-by-step explanation:
Estimate the square root first. 7x7 = 49 and 8x8=64 so you can use 8 for your estimate. You can also estimate Pi as 3.
Now you have:
(6 x 8) + 2(3) which is 48 + 6 = 54
Using your calculator you get
47.244 + 6.283 = 53.53 rounded to the nearest hundredth
Someone plz help me :(
Answer:
the answer is c :)
Step-by-step explanation:
Please fill in these boxes :)
Answer:
reciprocal of 4= 1/4
reciprocal of 1/3=3
reciprocal of -1/7 = -7
reciprocal of -4/5=-5/4
Step-by-step explanation:
it's explained
Suppose f(x) = 3x*2 - 2x
Answer:
x=0
Step-by-step explanation:
0=6x-2x
0=4x
4x=0
and the answer is x=0
Find the arc length of the subtending arc for an angle of (3pi)/8 on a circle of radius 4.
Answer:
3pi/2
Step-by-step explanation:
(4) 3pi/8 =3pi/2
If a value in the _______ occurs more than once, then the relation is NOT a function.
Fill in the blank
The definition of a function is " a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output." (Mathinsight)
Therefore is a number (x values) appears more than once in the domain then this would not be a function since it doesn't fit the definition of a function.
