Answer:
x^3−2x^2−24x
Step-by-step explanation:
Answer:
x^3 - 2x^2 - 24
Step-by-step explanation:
FOIL: first, outer, inner, last
This becomes
x^3 + 4x^2 - 6x^2 -24x = x^3 - 2x^2 - 24
I need help ASAP... Please!
Answer:
7cm
Explanation:
Perimeter= 34cm
13+14= 27cm
34-27= 7cm
Answer:
7 cmSolution
[tex]area = 2 \sqrt{510} \: {cm}^{2} \\ perimeter = 34 \: cm \\ ab = 14 \: cm \\ bc = 13 \: cm \\ ac = \\ perimeter = ab + bc + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:or \: 34 = 14 + 13 + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 34 = 27 + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - ca = 27 - 34 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - ca = - 7 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ca = 7 \: cm[/tex]
hope this helps ....
good luck on your assignment...
What is the measure of
Answer:
B= 55°
Step-by-step explanation:
A+B+C= 180°
90°+B+35°=180°
B= 55°
An expression is given: x(-1.8-6y) Use the distributive property to expand the expression.
Answer: x(-1.8-6y) = -1.8*x -6*y*x
Step-by-step explanation:
The distributive property says that if we have:
A*(B + C) where A, B and C can be any numbers, we can expand the equation as:
A*(B + C) = A*B + A*C.
So, in this case, we have the equation:
x*(-1.8 - 6y)
so we can expand this as:
x*(-1.8 - 6y) = x*(-1.8) + x*(-6*y) = -1.8*x -6*y*x
Option A to buy has a total cost of 20,579 dollars, up-front cost of 2,500 dollars, monthly payment of 338 dollars for 60 months, and no mileage restriction. Option B to lease has a total cost of 12,169 dollars, up-front cost of 3,925 dollars, monthly payment of 229 dollars for 36 months, and mileage restriction of 10,000 per year. You live 17 miles from work. You can expect to drive a minimum of miles per week. You will work about 48 weeks per year, so you can expect to drive a minimum of miles per year. You have a vacation planned and you expect to drive approximately 2,000 miles round trip. If you take the vacation, you stay under your mileage restriction if leasing.
Answer:
B
Step-by-step explanation:
it B pls mark me i calculated it 4 time pls
Answer:
on edge?
Step-by-step explanation:
Option A to buy has a total cost of 20,579 dollars, up-front cost of 2,500 dollars, monthly payment of 338 dollars for 60 months, and no mileage restriction. Option B to lease has a total cost of 12,169 dollars, up-front cost of 3,925 dollars, monthly payment of 229 dollars for 36 months, and mileage restriction of 10,000 per year.
You live 17 miles from work. You can expect to drive a minimum of
miles per week. 170
You will work about 48 weeks per year, so you can expect to drive a minimum of 8,160 miles per year.
You have a vacation planned and you expect to drive approximately 2,000 miles round trip. If you take the vacation, you WILL NOT stay under your mileage restriction if leasing.
Find two positive consecutive odd integers whose products is 99.
Answer:
9,11
Step-by-step explanation:
let the numbers be x, x+2 (since consecutive odd integers have a difference of 2)
therefore;
x(x+2)= 99
x²+2x=99
I usually solve the sum like this,
we need to find the nearest square number ( number smaller than the number on the R.H.S)
here, it is 81, whose square root is 9. therefore the solution is 9
verification:
(9)²+2*9=99
81+18=99
99=99
hence, 9 is the solution. therefore the positive odd consecutive integers are
x=9
x+2=9+2= 11
verification:
9*11=99
99=99
L.H.S=R.H.S
In the diagram below, P and Q are points on a circle with centre O.
PQT is a tangent to the circle.
Angle OPQ=18∘
Work out the size of angle PQT.
Answer:
∠PQT = 72°Step-by-step explanation:
According to the diagram shown, ∠OPQ = ∠OQP = 18°. If PQT is a tangent to the circle, it can be inferred that line OQ is perpendicular to line QT. Ths shows that ∠OQT = 90°.
Also from the diagram, ∠OQP + ∠PQT = ∠OQT;
∠PQT = ∠OQT - ∠OQP
Given ∠OQP = 18° and ∠OQT = 90°
∠PQT = 90°-18°
∠PQT = 72°
Describe the graph the inequality on a number line: -7 ≥ g - 21 I need help on this its due today and ill give large sum of points for anybody to help me. I don't understand
Answer:
Step-by-step explanation:
A patient was
given
medicine. She took 5 ml of
medicine 3 times in one day. How much medicine did
she take in total that day?
Triangle DEF is reflected over the y-axis, and then translated
down 4 units and right 3 units. Which congruency statement
describes the figures?
O ADEF – ASUR
O ADEF - ASRU
O ADEF - ARSU
O ADEF – ARUS
Answer:
B. ΔDEF ≅ ΔSRU
Step-by-step explanation:
Hope this helps!
The congruence statement is [tex]\triangle D EF \cong \triangle SRU[/tex]
The pre-image of the triangle is triangle DEF.
When reflected over the y-axis, and then translated down 4 units and right 3 units, the image of the triangle is SRU
Translation and reflection are rigid transformations.
Hence, the congruence statement is [tex]\triangle D EF \cong \triangle SRU[/tex]
Read more about transformation at:
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As an estimation we are told 5 miles is 8 km.
Convert 72 km to miles.
Answer:
45 miles
Step-by-step explanation:
5 miles = 8 km
72 km = 9 * 8 km
Since 8 km = 5 miles, replace 8 km with 5 miles
72 km = 9 * 8 km = 9 * 5 miles = 45 miles
On a road trip you see a sign “350 km to Indianapolis”. About how many hours will it take you to drive to Indianapolis if you are traveling at 72 mi/h (1 mile\approx≈1.61 km). Round your answer to the nearest hundredth.
Answer:
3.019 hours.
Step-by-step explanation:
In this case they ask us to calculate the time in hours that are in those distances, for this we have the speed and the distance, we know that speed is equal to:
v = d / t
therefore the time would be:
t = d / t
we must pass the distance that is in kilometers to miles, like this:
350 km * 1 mile / 1.61 km = 217.4 mi
Now if replacing:
t = 217.4 / 72 = 3.019
Therefore, the time would be 3.019 hours.
How many minutes are in 130 seconds?
Answer:
2 minutes 10 seconds!!!!!
Look at these equations.
9 = 7 + a
a + 8 = b + 5
Use both equations to work out the value of b.
Answer:
9=7+a....................equation 1
a+8=b+5................equation 2
equation 1
9=7+a
9-7=a
2=a
a=2
put equation 1 into equation 2
2+8=b+5
10= b+5
10-5= b
5=b
b=5
meaning value of b=5
The value of b is 5 for the given equations 9 = 7 + a and a + 8 = b+5.
What is substitution method?
The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.
According to the given question we have , two equations
[tex]9 = 7+a...(i)[/tex]
and [tex]a + 8 = b + 5...(ii)[/tex]
From equation (i)
9 = 7 + a
⇒ a = 9 -7
⇒ a = 2
Substitute the value of a in equation (ii)
⇒ 2 + 8 = b + 5
⇒ 10 = b + 5
⇒ b = 10 -5
⇒ b = 5
Hence, the value of b is 5 for the given equations 9 = 7 + a and a + 8 = b+5.
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Solve for r.
–5 ≥ 5 (r+5)
Answer:
-6 ≥ r
Step-by-step explanation:
–5 ≥ 5 (r+5)
Divide each side by 5
–5/5 ≥ 5/5 (r+5)
–1 ≥ (r+5)
Subtract 5 from each side
-1-5 ≥ r+5-5
-6 ≥ r
state of the triangles in each pair are similar. If so, say how you know they are similar and complete the similarity statement. Part 5
Answer: d) similar, SAS similarity, ΔDGH
Step-by-step explanation:
DG ≡ GC ⇒ G is the midpoint of DC
DH ≡ HB ⇒ H is the midpoint of DB
Therefore, HB is the midsegment of ΔDCB.
By the Midsegment Theorem, HB || BC
By Corresponding Angles Theorem, ∠DGH ≡ ∠DCB
[tex]\underline{Sides}:\\\\\dfrac{DB}{DC}= \dfrac{7}{14}\rightarrow \dfrac{1}{2}\qquad \dfrac{DH}{DB}= \dfrac{7}{14}\rightarrow \dfrac{1}{2}[/tex]
ΔDCB ≅ ΔDGH by Side-Angle-Side Similarity Theorem
Jonathan collects postcards and stamps. The number of postcards in his collection is 12 more than the number of stamps. He has 39 postcards in all. If Jonathan has x stamps, which equation represents this situation and how many stamps does he have?
Find the 98th term of the arithmetic sequence 8, 24, 40,...
Answer:
Step-by-step explanation:
AP = 8, 24 , 40....
a = 8 , d =16 , n =98 , An = ?
an= a +(n-1)d
an = 8+97*16
an=8+1552
an=1560
hope it helps you..
The 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).
What is an arithmetic sequence?An arithmetic sequence is simply a sequence of numbers in which the difference between the consecutive terms is constant.
The nth term is an arithmetic sequence is expressed as;
aₙ = a₁ + ( n - 1 )d
Where aₙ is the nth term, a₁ is the first term in the sequence and d is the the common difference between terms.
Given the data in the question;
n = 98a₁ = 8d = 24 - 8 or 40 - 24 = 1698th term of the arithmetic sequence a₉₈ = ?We substitute our given values into the expression above.
aₙ = a₁ + ( n - 1 )d
a₉₈ = 8 + ( 98 - 1 )16
a₉₈ = 8 + ( 97 )16
a₉₈ = 8 + 1552
a₉₈ = 1560
Therefore, the 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).
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The smallest of three consecutive odd is numbers is n. If their sum is 27,find the three numbers
Answer:
Therefore the sum of three odd numbers is always an odd number. Hence Proved. Let the number is 15,13 and 3 then 15=2*7+1 13=2*6+1 3=2*1+1 where 1,6 and 7 now 15+13+3=2*7+1+2*6+1+281+11 =2(7+6+1)+3 =2*14+3(24 is our 'm') and 2*14≠30. OR 15+13+3≠30
Step-by-step explanation:
The question is that you cannot get 30 by adding any three odd numbers because addition of 3 odd numbers always give another odd number and hence 30 which is an even number cannot be achieved. 2n-1 where n is a natural number.
A teacher Buys tickets for each of my students to visit a museum each student and $6.50 and she spent a total of $182 how many students tickets did you buy
Answer:
The ticket is bought for 28 students.
Step-by-step explanation:
It is given that the teacher is going to buy museum ticket for each students.
Total money spent = $182
Price of each ticket = $6.50
Let total number of tickets bought = [tex]x[/tex]
We know that to find the total amount of money spent on ticket, we can add price of each ticket (i.e. $6.50) [tex]x[/tex] number of times.
OR
In other words, simply multiply the number of tickets with price of each ticket to find the total money spent.
Total money spent = [tex]x \times 6.50[/tex]
We know that total money spent is $182.
[tex]\Rightarrow x \times 6.50 = 182\\\Rightarrow x = \dfrac{182}{6.50}\\\Rightarrow x = 28[/tex]
The ticket is bought for 28 students
How many distinct diagonals does an undecagon have?
-39
-45
-47
-44
-None of these answers are correct.
Answer:
-45
Step-by-step explanation:
How many different combinations of three books can be selected from 40 books?
Answer:
1600
Step-by-step explanation:
40x40
The measure of an angle is 159
degrees.
What is the measure of its
supplementary angle?
Answer:
21°
Step-by-step explanation:
Supplementary is defined as two angles whose sum is 180. These angles must therefore be on a straight line cut by a transversal and must be less than 180 by themselves.
If one angle is 159, then we can simply subtract it from 180 to get the other angle.
A more algebraic way is to set up the equation, 159 + x = 180. Subtract 159 from 180 to find x.
The Measure of supplementary angle is 21⁰.
What are supplementary angle?The pair of angles that always add up to 180 degrees are referred to as supplementary angles. The term "supplements of each other" refers to these two angles. The Latin words "Supplere" and "Plere" are the source of the word "supplementary." "Supplere" means "supply," while "Plere" means "fill." Thus, "something when supplied to complete a thing" is the definition of "supplementary."
Given an angle 159⁰
and according to supplementary angles property,
when sum of two angles is 180⁰ are supplementary
∠A + ∠B = 180⁰ (angles are supplementary)
Let the another angle be x
159 + x = 180
x = 180 - 159
x = 21⁰
Hence the supplementary angle is 21⁰.
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Which event is least likely to occur?
Answer:
C. picking a 4 of diamonds from a standard deck of cards
Step-by-step explanation:
First, we need to remember what the possible outcomes of a deck of cards, a flipped coin, and a standard number cube are.
A standard deck of cards has a total of 52 cards. There are 4 cards with a 7 on them. There is only one card with a 4 of diamonds. A nickel has 2 sides, and each side is equally likely show after a coin toss. A number cube has 6 faces with a different number from 1 to 6 on each face.
Now we find the probability of each situation. To find the probability of an event, divide the number of ways the desired event can happen by the total number of outcomes.
1. p(7) = 4/52 = 1/13 = 0.0769
2. p(tails) = 1/2 = 0.5
3. p(4 of diamonds) = 1/52 = 0.0192
4. p(number greater than 2) = 4/6 = 2/3 = 0.667
Answer: picking a 4 of diamonds from a standard deck of cards
What is the exact value of tan π/8
Answer:
Im pretty sure the exact value would be 0
Step-by-step explanation:
Josie and Rushawn ran a race. Josie finished in 329 seconds. Rushawn finished less than 60 seconds later. Which inequality
represents r. Rushawn's possible finishing times in seconds?
> 269
r<269
> 389
Or<389
Answer: r < 389
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
Rushawn's possible finishing times (r) must be less (<) than Josie's finishing time (329) plus 60 seconds.
Mathematically speaking:
r < 329+60
r < 389
So, the correct option is the last one.
Feel free to ask for more if needed or if you did not understand something.
Answer: r < 389
Step-by-step explanation:
Please answer CORRECTLY !!!!!! Will mark Brainliest !!!!!!!!!!!!!!!!
Answer:
4 amperes
Step-by-step explanation:
I graphed the function on the graph below to find the maximum value of c.
5x+7/2=3/2x-14 please help me with this
Answer:
x = 5
Step-by-step explanation:
5x + 7/2 = 3/2x - 14
like terms together;
5x - 3/2x = -14 - 7/2
7/2x = 35/2
divide both sides by the reciprocal of the fraction next to the unknown
divide by 2/7
x = 5
Find the interquartile range (IQR) of the data in the dot plot below. cavities
Answer:
It is 4 cavities
Step-by-step explanation:
The interquartile range (IQR) of the data in the dot plot is 4
Calculating interquartile rangeFrom the question, we are to determine the interquartile range (IQR) of the data
From the diagram, we can produce the data set
0, 0, 0, 1, 1, 3, 3, 4, 7, 7
Now, we will determine the interquartile range of this data set.
The interquartile range is the difference in value between the upper quartile and lower quartile.
The upper quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.
The lower quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order.
∴ IQR = Q3 - Q1
From the data set
0, 0, 0, 1, 1, 3, 3, 4, 7, 7
Upper quartile (Q3) = 4
and
Lower quartile (Q1) = 0
∴ Interquartile range (IQR) = 4 - 0
IQR = 4
Hence, the interquartile range (IQR) of the data in the dot plot is 4
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Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. How much cement, on average, did the company use per mile? Write your answer as a decimal.
Answer: 187.5 tons of cement
Step-by-step explanation:
From the question, Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. To calculate the number of cement on average that the company use per mile, we divide 750 tons of cement by 4 miles. This will be:
= 750 tons of cement/4
= 187.5 tons of cement
The company used 187.5 tons of cement per mile.
Answer: The company used 187.5 tons per mile.
Step-by-step explanation:
Hi, to answer this question we simply have to divide the amount of cement used (750 tons) by the miles that the company pavemented (4 miles):
Mathematically speaking:
750 t / 4 m = 187.5 tons per mile
The company used 187.5 tons per mile.
Feel free to ask for more if needed or if you did not understand something.
Please help me find the area
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Find the area of the big rectangle first:
14 x 11 = 154
Fine the area of the small rectangle:
5 x 3 = 15
Use πr^2
π(4)^2 = 16π
Divide this by 4 as it is only a quarter of the circle:
16π / 4 = 4π
Add all the values together:
4π + 154 + 15 = 181.5663709
Round this off as needed.
To 2 d.p. it is 181.57 in^2
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