Answer:
[tex] \boxed{B. \: 5 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 2} [/tex]
Step-by-step explanation:
[tex] = > (2 {x}^{6} + 8 {x}^{2} - x + 1) + (3 {x}^{6} + 5 {x}^{5} + 1) \\ \\ = > 2 {x}^{6} + 8 {x}^{2} - x + 1 + 3 {x}^{6} + 5 {x}^{5} + 1 \\ \\ = > 2 {x}^{6} + 3 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 1 + 1 \\ \\ = > 5 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 2[/tex]
The polynomial representing the sum is [tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex] (Option B).
The polynomial that represents the sum of the two polynomials is:
[tex](2x^6 + 8x^2 - x + 1) + (3x^6 + 5x^5 + 1)[/tex]
Combining like terms, we can simplify the expression:
[tex]2x^6 + 3x^6 + 8x^2 + 5x^5 - x + 1 + 1[/tex]
Now, combining the like terms further:
[tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex]
Therefore, the polynomial that represents the sum is:
[tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex] (Option B).
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Anastasia makes a good salary but wants to be sure she has good credit so she can buy a condominium when she has saved
enough money for a down payment on a mortgage. What is the best thing she can do to improve her creditworthiness?
She should take out more debt to improve her credit score.
She should pay down her student loan and credit card debt.
She should apply for more credit cards to improve her credit history.
She should get a second job to make more money.
Answer:
She should pay down her student loan and credit card debt.
Step-by-step explanation:
Because the others would result in more debt or overwork and she has a good salary already
The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.
Option B is the correct answer.
We have,
The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.
This will lower her credit utilization ratio, which is a significant factor in determining her credit score.
Having a high credit utilization ratio can indicate to lenders that she may be at risk of defaulting on her debts, which could make it more difficult for her to obtain a mortgage or other loans in the future.
Paying down her debts can help improve her credit score and make her a more attractive borrower to potential lenders.
Thus,
The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.
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Calculate the area of the polygons in the picture. All measurements are in cm.
Why is there a b) in the middle of the polygon? Question creators, proofread your figures.
a) Two triangles and a kite
Top triangle (1/2)(5.53)(1.5)
Bottom triangle (1/2)(6)(2)
The kite is like two triangles with shared base 2+3=5 and combined height 7,
(1/2)(5)(7)
Adding it up,
area = (1/2)(5.53)(1.5) + (1/2)(6)(2) + (1/2)(5)(7) = 27.6475
Answer: 27.6475 sq cm
b) Three triangles, including one right triangle
Area = (1/2) (6.7)(3) + (1/2)(6.2)(2.5) + 1/2(6.2)(2) = 24.
Answer: 24 sq cm
Is -3.5 greater than or less than -1 2/3
Answer:
less than
Step-by-step explanation:
first you make the mixed number into a decimal which ever number has the lowest absolute value is the bigger number
Answer:
less than
Step-by-step explanation:
-1 2/3 = -1.6666666666
remember the smaller negative number is greater
Which set of side lengths would notform a triangle?A.3 cm, 4 cm, 5 cmC.10 cm, 12 cm, 24 cmB.6 cm, 8 cm, 10 cmD.12 cm, 15 cm, 26 cm
Answer: 3, 4, 5
Step-by-step explanation:
Find the ratio a:b, if it is given that a/2 = b/5
Answer:
2:5
Step-by-step explanation:
a/2=b/5
a=b/5 × 2
a/b=2/5
a:b=2:5
Here is a pattern made from sticks:
//////
//////////
////////////// How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
Answer:
a) 26 sticks
b) an = 6 +4(n -1)
Step-by-step explanation:
You have patterns of sticks that have 6 sticks in the first pattern, 10 sticks in the second pattern, 14 sticks in the third pattern, and you want to know the number of sticks in the 6th pattern and in pattern number n.
b) Arithmetic sequenceYou have a sequence of patterns with 6, 10, and 14 sticks. The first pattern has 6, and the following patterns each have 4 more than the one previous. The sequence of numbers is an arithmetic sequence with a first term a1=6, and a common difference d=4.
The n-th term of such a sequence is given by the formula ...
an = a1 +d(n -1)
For the first term and common difference in this sequence, the number of sticks in pattern n is ...
an = 6 +4(n -1)
a) Sixth patternWhen n=6, the number of sticks is ...
a6 = 6 +4(6 -1) = 26
There would be 26 sticks in pattern 6.
At a school fair, students were challenged to hit one of the small congruent circles on the large rectangular board with a ball. Find the probability of hitting any small circle. Type answer as a percent. *
Answer:
The probability of a student to hit any small circle is 4.66 %.
Step-by-step explanation:
In order to determine the probability of the students to hit the small circles, we need to calculate the are of the rectangle and the area of each circle. These are shown below:
area circle = pi*r² = pi*(3)² = 28.26 in²
area rectangle = 35*52 = 1820 in²
Since there are three circles and the students can hit any of those the probablity of hitting them is given by the area of one circle multiplied by 3 and divided by the area of the rectangle.
p = [(3*area circle)/(area rectangle)]*100%
p = [(3*28.26)/1820]*100 = 4.66 %
Ruby is visiting San Francisco. From her hotel she walks 4 blocks east and 3 blocks north to a coffee shop. Then she walks 7 blocks west and 6 blocks north to a museum. Where is the museum in relation to her hotel?
Answer:
Is that from RSM??
Step-by-step explanation:
SOLVE THE EQUATION f(x)=2x^2\ x=3
Answer:
f(x)= 18
Step-by-step explanation:
f(x)= 2x^2
f(x)= 2(3)^2
f(x)= 2(9)
f(x)= 18
rewrite 4/6 1/3 as a unit rate
Answer:
Step-by-step explanation:
Is this 4/6* 1/3 or are they seperate?
If its 4/6*1/3 you could say its 12/19 or 63.16%
Unit rate of the given quantity is equals to [tex]2:1[/tex].
What is unit rate ?" Unit rate is defined as relation which is represented as the ratio of two different quantity in which value denominator is always one."
According to the question,
Given ratio of different quantity,
[tex]\frac{4}{6}:\frac{1}{3}[/tex]
Convert it into unit rate we get,
[tex]= \frac{4}{6}\times \frac{3}{1} \\\\= \frac{4\times 3}{6\times 1}\\ \\= \frac{12}{6} \\\\= 2 : 1[/tex]
Hence, unit rate of the given quantity is equals to [tex]2:1[/tex].
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what is the coefficient in -x+3?
Answer: The coefficient is -1
Step-by-step explanation: this is because -1 is in front of the x
Therefore,
-1 is the coefficient
Answer:
Step-by-step explanation:
coefficient of x is -1
I’m testing out of geometry anyone know good websites/ channels to use?
Answer:
IXL or Khan Acadamey are really good websites that teach you a lot. IXL has a thing with thousands of lessons on geometry.
Step-by-step explanation:
The perimeter of a rectangular field is 342 m. If the width of the field is 76 m, what is it’s length?
Answer:
The length is 95 m
Step-by-step explanation:
P = 2(l+w) where l is the length and w is the width
342 = 2(l+76)
Divide each side by 2
342/2 = 2/2(l+76)
171= l+76
Subtract 76 from each side
171- 76 = l+76-76
95 = l
Find the measure of angle D.
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
Whats the product of (-3x+2y)(4x-y)
Answer:
-12x^2 + 11xy - 2y^2
Step-by-step explanation:
Answer:
-12x² + 11xy - 2y²
Step-by-step explanation:
To solve this:
You can distribute -3x to 4x
-3x*4x = -12x²
Then distribute the -3x to -y
-3x*-y = 3xy
Distribute the 2y to 4x
2y*4x = 8xy
Distribute the 2y to -y
2y*-y = -2y²
-12x² + 3xy + 8xy - 2y²
Combine like terms and add 3xy to 8xy
Final Answer: -12x² + 3xy + 11xy - 2y²
Phil is planning a 1344-mile driving trip. His car gets an average of 23 mpg, and the cost of gas is about $2.09/gallon.
What is the approximate driving cost of the trip?
A) $120.30
B) $122.13
C) $144.90
Answer:
B)
Step-by-step explanation:
1334÷ 23
= 58.4348
= 58.4348× 2.09
= 122.1287
= $122.13
Answer:
Step-by-step explanation:
I took the test :)
Please find attached
Answer:
AE Measure: 23.36 units
Step-by-step explanation:
BA: 20cm
BC:20cm
BE:10cm CE: 10cm
a^2 +b^2=c^2
BE^2 +BA^2 = AE^2
√100 + √400 = √500
AE^2 = √500 = 23.36
AE = 23.36 unit
Repeat effort :-)
Step-by-step explanation:
As ABCD is a square , BC = 20 cm
BE = 20/2 = 10 cm
Also , angle B = 90⁰
By pythagoras theorem :
AE² = 20² + 10²
AE² = 400 + 100
AE² = 500
AE = 10√5 cm
What is x???????????
Answer:147
180-33= 147
The inner angles are supplementary, meaning equaling 180
Step-by-step explanation:
Juana can use the expression 64 divided by 4 to determine
4% of 64.
10% of 64.
25% of 64.
50% of 64.
Answer:
25% of 64
Step-by-step explanation:
because the answer is 16 when you do 25% of 64 and then divide 64/4 you get the same answer for both
Answer:
Answer: 25% of 64
Step-by-step explanation:
The weight of large pavement stones in pounds are listed: 22, 26, 29, 23, 26, 21, 28, 24, 25, 26. What is the mean absolute deviation?
What is 9/2 as a whole number? :) plz help quick!!
Will give brainliest!
Answer:
4.5
Step-by-step explanation:
Need Help! Unit Activity: Inferences and Decision-Making from Data
Answer:
Part B
This statement means that we are 95% confident that our confidence interval and our point estimate of our results from this sample contains the true proportion of national adults who fulfill a certain condition. The margin of error is plus or minus 4 percentage points in our survey, so we are fairly accurate / close to our point estimate.
Part C
Personally, I think that the minimum quota should be different, because nowadays very few people have landlines, and most people have cell phones. I would put it at 80% cell phones, 20% landlines, for the most representative survey possible.
Part D
Unfortunately, there isn't enough information to explain this one, because I can't see the link or view the responses and trends. I would give you the advice that you might want to include all variables and survey conditions: what type of survey was it? how many adults were sampled? what are your hypotheses or preconceived notions? what is the standard error? This should help; if not, please clarify.
¿Cuántos litros de agua se precisa para llenar una piscina inflable de 1/4 de metro cúbico?
Answer:
250 litters
Step-by-step explanation:
To solve this question, we first need to know the conversion from cubic meter to liter.
1 cubic meter is equal to 1000 liters.
So, if we have 1/4 cubic meter, we can use a rule of three to find how many liters we will need:
1 m3 -> 1000 L
1/4 m3 -> x L
x * 1 = (1/4) * 1000
x = 1000 / 4 = 250 L
So we need 250 liters of water.
Jessica added the two distances in the table to get a sum of 26.95 miles.
Explain the steps you use to determine if Jessica’s answer is reasonable.
Answer: Reasonable
Step by Step:
You add week 1 and week 2
so, 11.9 + 15.05 = 26.95
That's basically it
The total distance travelled is 26.95, and the steps followed are given.
What is Sum?Sum is the output of the mathematical operation, Addition.
Jessica added the two distances in the table to get a sum of 26.95 miles.
The step followed to determine the sum of the distances is
Step 1:
Total distance travelled = Distance travelled in Week 1 + Distance travelled in Week 2
Step 2:
Total distance = 11.9 + 15.05
Total distance = 26.95 miles
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help meeeeeeeeeeeeeee
Answer:
b. 4 min c. 5 min
Step-by-step explanation:
GEOMETRY HELP WILL MARK BRAINLIEST
Answer:
x = 12.81
Step-by-step explanation:
Because this is a right triangle, we can use the Pythagorean Theorem to solve for x. We have 10² + 8² = x² → 100 + 64 → x² = 164 → x = 12.81. Hope this helps!
Step-by-step explanation:
using Pythagoras relationship
[tex] {x}^{2} = {10}^{2} + {8}^{2} \\ {x}^{2} = 100 + 64 \\ {x}^{2} = 164 \\ x = \sqrt{164} \\ x = 12.806 \\ x = 12.8[/tex]
Which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the line?
Answer:
D.Place the compass on a point on the original line.
Complete Question:
A.Create only one arc that intersects the original line.
B.Create two arcs that intersect the original line.
C.Place the compass on a point off the original line.
D.Place the compass on a point on the original line.
Step-by-step explanation:
* Lets revise the steps of constructing parallel lines and a perpendicular line through a point on the line
# Contracting parallel lines
- Given: Line AB and point P not on AB
1. Draw a slant line through point P and intersects AB at point C, this line is the transversal of the parallel lines
2. Place the pin of the compass at point C and draw an arc intersects AB at D and CP at E
3. Without changing the distance of the compass put the pin of the compass on point P and draw an arc intersects CP at point Q
4. Use the compass to measure the distance from D to E and place the pin of the compass at point Q and draw an arc intersects the arc from P to CP at point U
5. Join P and U by a line this line is parallel to AB
# Constructing a perpendicular line through a point on the line
- Given line AB and point P lies on it
1. Place your compass pin at P and draw an arc of any size below AB that crosses the line twice at points C and D
2. Stretch the compass to a larger distance
3. Place the compass pin on point C and draw a small arc above the line
4. Without changing the distance of the compass place the compass pin on point D and draw another arc intersects the arc from C at point E
5. Using a straightedge, join P and E where PE is perpendicular to AB
* Lets find the same steps in the constructions
∵ In first construction we put the pin of the compass at point C which lies in the original line AB
∵ In second construction we put the pin of the compass at point P which lies in the original line AB
∴ The common step is: "Place the compass on a point on the original line"
Answer:
just know the answer is not Create only one arc that intersects the original line.
Step-by-step explanation:
took test
question is below....
Answer:
Step-by-step explanation:
For window, area 3×2
=6
For wall, area=20×16
=320
Area of wall withot window=320-6
=316
Question 1 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
Answer:
The mean absolute deviation is 2
Answer:
M A D is 2
Step-by-step explanation:
Which is a quadratic function?
Answer:
C
Step-by-step explanation:
A quadratic function has an x².
A and D are not the answers because there is no x².
B is not the answer because 0x² is equal to 0, meaning that there is no x².
C is the answer.