Answer:
Choice F) r^2+4r+3r simplifies to r(r+8)
Step-by-step explanation:
r^2+4r+3r = r^2+8r = r(r+8)
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Responses
30 cm²
30 cm²
70 cm²
70 cm²
125 cm²
125 cm²
150 cm²
150 cm²
A cube and a net of the cube are shown. The edge length of the cube is labeled 5 centimeters. The net consists of 4 squares connected vertically, and 1 square is attached to the left of the third square and 1 square is attached to the right of the third square. One square in the net is labeled with a side labeled 5 centimeters.
The surface area of the cube is 1536 ft².
We have,
The cube can be seen as 6 square areas in the net.
So,
The surface area of the cube.
= 6 x area of one square surface.
Now,
Side = 16 ft
Area of one square surface.
= side²
= 16²
= 256 ft²
Now,
The surface area of the cube.
= 6 x area of one square surface.
= 6 x 256
= 1536 ft²
Thus,
The surface area of the cube is 1536 ft².
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PLEASE HELP
What was similar about Venice and Naples during the Renaissance?
Both were major port cities.
Both were home to the Medici.
Both were weapons-manufacturing cities.
Both were connected to Asian land routes.
Answer:
Both were major port cities. (A)
Step-by-step explanation:
Answer:
The correct answer is A. Both were major port cities
Step-by-step explanation:
I am 100% sure
Find CD if KD=x+1 And KC=2x-1
Answer:
B) 2
Step-by-step explanation:
Is BK bisecting CD?
x + 1 = 2x -1 Subtract x from both sides
1 = x -1 Add 1 to both sides
2 = x
What is 3 and 4/5÷2/5 in the simplest form
Answer:
The answer is 19/2.
Step-by-step explanation:
Alternatives are 9 1/2 and 9.5.
Brainliest? Thanks!
Answer:
3 and 2/5
Step-by-step explanation:
because when it says divide it means take away and the denominator is the same so it stays the same
Exit ticket for geometry
Answer:
y = 10
Step-by-step explanation:
given DEFG = SPQR
QR = FG
=> 2x - 4 = 12
=> 2x = 16
=> x = 8
angle PQR = EFG
=> 6y + x = 68
=> 6y + 8 = 68
=> 6y = 60
=> y = 10
What is the coefficient of x after simplifying the expression?
7y + 4x + 4 - 2x +8
Answer:
The coefficient of x is 2.
Step-by-step explanation:
1) Add the numbers
7y + 4x + 4 - 2x + 8
7y + 4x + 12 - 2x
2) Combine like terms
7y + 4x + 12 - 2x
7y + 2x + 12
3) Rearrange items
7y + 2x + 12
2x + 7y + 12
Evaluate the function and simplify.
f(x)=6x^2 -1/x^2
f(-x)=?
Step-by-step explanation:
f(-xl= 6(-x)^2 - 1/(-x)^2
=6x^2- 1/x^2
f(x)= f(-x)
It is an even function
( 25 POINTS ) simplify: \/ \'/ \/ \/ \/ \/ \/ \/ \
Answer:
-17/12
Step-by-step explanation:
║5/6 - 7/12║- ║5/3║
= ║10/12 - 7/12║ - ║5/3║
= ║3/12║- ║5/3║
= 3/12 - 5/3
= 3/12 - 20/12
= -17/12
hey please explain in it I stuck there please solve fast
If ( sin x + cosec x ) ² + ( cos x + sec x )² = k + tan² x + cot² x then what is the value of k.
a- 8
b - 7
c- 4
d-3
Don't Spam
Answer:
b) 7
Step-by-step explanation:
Given equation:
\((\sin x + \csc x)^2+(\cos x + \sec x)^2=k+\tan^2 x + \cot^2 x\)
Expand the left side of the equation:
\(\implies \sin^2x+2 \sin x \csc x + \csc^2x + \cos^2 x + 2 \cos x \sec x + \sec^2 x\)
Simplify:
\(\implies \sin^2x+2 \sin x \cdot \dfrac{1}{\sin x} + \csc^2x + \cos^2 x + 2 \cos x \cdot \dfrac{1}{\cos x} + \sec^2 x\)
\(\implies \sin^2x+2 + \csc^2x + \cos^2 x + 2 + \sec^2 x\)
\(\implies \sec^2 x+\csc^2x+ \sin^2x + \cos^2 x +4\)
Use the identity: sin²x + cos²x = 1
\(\implies \sec^2 x+ \csc^2x+1+4\)
\(\implies \sec^2 x+ \csc^2x+5\)
Use the identities: sec²x = tan²x + 1 and csc²x = cot²x + 1
\(\implies \tan^2x +1 +\cot^2x +1 +5\)
\(\implies 7+\tan^2x + \cot^2x\)
Therefore:
\((\sin x + \csc x)^2+(\cos x + \sec x)^2=7+\tan^2 x + \cot^2 x\)
\( \huge{ \bold{Answer -: }}\)
Option b is correct
Explanation-:\( \large \bf{given}\)
\( \large{ \sf{ \: (sin \: x \: + cosec \: x) {}^{2} + (cos \: x + sec \: x) {}^{2} }}\)
\(\large{ \sf{ = k + { \tan^{2} x + \cot^{2} x}}}\)
\( \large{ \sf{\implies \: sin {}^{2} x + cosec {}^{2} x + 2 + {cos}^{2} x + {sec}^{2} x + 2}}\)
\(\large{ \sf{ = k + {tan}^{2} x + {cot}^{2} x}}\)
\(\large{ \sf{ \implies \: 1 + {cosec}^{2} x - {cot}^{2} x + {sec}^{2} x - {tan}^{2} x + 4 = k}}\)
\(\large{ \sf{ \pink{ \implies \: 1 + 1 + 1 + 4 = k \implies \: k = 7}}}\)
\( \therefore \: k \: = 7\)
____________________Boston filled up
her gas tanks 3/5s of
the way. What
percent is this?
Answer:
60%
Step-by-step explanation:
Use the Venn diagram to determine if each statement is always true, sometimes true, or never true.
Answer:
1) Sometimes
2) Always
3) Never
4) Always
5) Sometimes
Step-by-step explanation:
1) Sometimes
2) Always
3) Never
4) Always
5) Sometimes
which is equal to (sinx+cosx)^2+(sinx-cosx)^2 using identities?
The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to
4 + 2sinxcosx.How to simplify the identityTo simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.
Expanding the squared terms
(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)
Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:
(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)
Simplifying the expression, we have:
2 + 2sinxcosx + 2
Combining like terms, we get:
4 + 2sinxcosx
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URGENT PLEASE HELP!!!!!!
Answer:
یه گل یک گل بام میی مه فیلم بام حس بام حس فمس یکم باشگاه هی یک گل یه حس سیم هی فکریه خشک پیل هر یک حس صب زی صب هم گچ نی بلن هر بر قل هم بی دو حس قیین
Step-by-step explanation:
سبک حس بام نی شیک حس
یا کمی سیم حس او
نی یک حس بکشم یک حس بام نی که خیلی تنیام که اما الا دیه انجام نمییم ای موضوع که دعوا خیلی تخفیف خیلی خوعه ای موضوع که اما الا دیمش خوش
۳ خشک هی یک هی بام نی با که اما ۷غ هه بام نی بلن کف بام نی بکر
به نمییم هی بام میی لاک حس بام
بلن هی یک
حالم ای زبونه فراموش که
فخ بیم فک
Mis the midpoint of AB. If the length of the line segment AM is 20, and the length of the line segment MB is 3x +
8, what is the value of x?
Answer:
x = 4
Step-by-step explanation:
We know that M is the mid-point of AB. So,
AM = BM ( A mid point divides a line segment into 2 equal parts. )
Also it's given that length of AM is 20 & length of BM is 3x + 8.
But as AM = BM ,
\(20 = 3x + 8\)
\( = > 3x = 20 - 8 = 12\)
\( = > x = \frac{12}{3} = 4\)
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
Using a calculator or statistical software, find the linear regression line for the data in the table below.
Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.
x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66
Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.
To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.
Using the provided data, the linear regression line equation is:
\(\[ y = 1.3642x + 3.2324 \]\)
To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:
\(\[ y = 1.3642(7) + 3.2324 \]\)
Simplifying the equation, we get:
\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)
In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.
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Michele is starting a new pool-cleaning business. It costs her $85 to purchase supplies. Michele charges $40 each time she cleans a pool. Which equation can be used to determine the profit, y, Michele earns after she cleans x pools?
y=40x- 85
y=40x+ 85
y=85x- 40
y=85x+ 40
Answer:
Option A : y = 40x - 85 is the correct answer.
Step-by-step explanation:
Given that:
Cost of purchasing supplies = $85
Cost charged for cleaning a pool = $40
Let,
x be the number of pools cleaned.
y be the profit
Profit = Cost of pools cleaned - purchase price of supplies
y = 40x - 85
Hence,
Option A : y = 40x - 85 is the correct answer.
Recently, More Money 4U offered an annuity that pays 6.3% compounded monthly. If $1,986 is deposited into this annuity every month, how much is in the account after 8 years? How much of this is interest?
Answer:
\( A = 1986(1+ \frac{0.063}{12})^{12*8} =3283.153\)
So then after 8 years we will have in the account 3283.153
And in order to find the interest we can do the following operation:
\( I = 3283.153 -1986 = 1297.153\)
Step-by-step explanation:
For this case we can use the formula for the future value using compound interest given by:
\( A = P (1+ \frac{r}{n})^{nt}\)
Where P= 1986 the initial amount invested. r = 0.063 represent the interest rate. n=12 represent the number of times that the rate is compounded in a year. And t =8 years . Replacing the info we got:
\( A = 1986(1+ \frac{0.063}{12})^{12*8} =3283.153\)
So then after 8 years we will have in the account 3283.153
And in order to find the interest we can do the following operation:
\( I = 3283.153 -1986 = 1297.153\)
Today, everything at a store is on sale. The store offers a 30% discount. The sale price of a hat is $21.00. What
is the regular price?
Answer:
70
Step-by-step explanation:
Because 2100 divided by 30 is 70 I hope this is the answer :)
6 minutes 20 seconds into seconds.
Answer:
380 seconds
Step-by-step explanation:
Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360
Now add the 20 seconds.
360 + 20 = 380
6 minutes and 20 seconds are equal to 380 seconds.
Which of the following rational functions is graphed below?
D. F(x)=(x-1)/x(x-3) Just took the test
needdddd help pls ill mark brainlist
Step-by-step explanation:
correct answer 2) y> 3x+2
If 2y=34x find x when y is equal to √2
Answer:
x = √2/17
= approximately 0.083
Step-by-step explanation:
help me please!!!!!!!1
Answer: 340
Step-by-step explanation:
10 x 5 = 50
10 x 5 = 50
10 x 8 = 80
10 x 8 = 80
8 x 5 = 40
8 x 5 = 40
50 + 50 + 80 + 80 + 40 + 40
100 + 160 + 80
340
The distance on a map between Lake Village and Bay Cove is 2 inches. If 1 inch represents 15 miles, what is the actual distance between Lake Village and Bay Cove?
Answer:
If 1 inch on the map represents 15 miles in reality, then 2 inches on the map represents 2 times 15 miles, or 30 miles in reality.
Therefore, the actual distance between Lake Village and Bay Cove is 30 miles.
Step-by-step explanation:
Help this is due today!!!!
Answer:
The second option: 3.5x+685\(\leq \\\)85
Step-by-step explanation:
The addition fee is 6 meaning adding not subtracting. Cancel out the first and last one. Then, it says without going over. Meaning it could equal exactly $85. Which means \(\leq\). So it would be the second option.
Hi I need help with this question please thank you
Answer:
hope this helped! Can you give me brainliest please? :))
Step-by-step explanation:
A: -7
E: +6.9
Im not sure how to answer this question.
u= 5i-2j+3k v= -2i+3k
Find a vector that is in the direction of the vector v , whose magnitude is twice that of vector u
9514 1404 393
Answer:
(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k
Step-by-step explanation:
To answer this question, you need to know two things:
1) the direction of vector v
2) the magnitude of vector u
__
direction of v
A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.
The unit vector in the v direction is ...
v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13
__
magnitude of u
The magnitude of vector u is ...
|u| = √(5² +(-2)² +3²) = √38
__
Then the desired vector is ...
(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k
_____
Additional comment
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
HELPPPPPP ASAPPPPP!!!!!
Katie wants to buy a scooter. It costs $100. She has to wait until the scooter goes on sale for at least 35% off before she has enough money buy it. How much money does Katie have to buy the scooter?
$35.00
$60.00
$65.00
$75.00
Answer:
C) $65.00
hope that helps!
Given: AOB is a right angle
Prove: mBOC = 90°
O
B
Since
AOB is a right angle, it is 90°. AOB is supplementary to BOC,
so m AOB + m BOC = 180°. By the substitution property of equality,
90 + m BOC = 180°. Applying the subtraction property of equality,
m BOC = 90%.
What statement is missing from the proof?
The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
How to find vertically opposite angles?We want to prove that m∠BOC = 90°.
We are given that m∠AOB is a right angle triangle. Thus;
m∠BOC must also be equal to 90°
Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.
Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
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