Answer:
1. Expand the expression.
x^8+24x^7+252x^6+1512x^5+5670x^4+13608x^3+20412x^2+17496x+6561
2. (x+3)^5
Use the Binomial Theorem.
x^5+5x^4⋅3+10x^3⋅3^2+10x^2⋅3^3+5x⋅3^4+3^5
Simplify each term.
x^5+15x^4+90x^3+270x^2+405x+243
Step-by-step explanation:
hope it is helpful....
Answer:
42x
Step-by-step explanation:
Yesterday, Jack drove 45 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per
gallon?
Answer: 36.4mpg
Step-by-step explanation:
45.5 : 1.25 = ? : 1
45.5 ÷ 1.25 = 36.4 mpg
Note- It would mean the world to me if you could mark me brainliest!
I am not a professional, I am simply using prior knowledge! That car also gets excellent gas mileage!
Help with this please!
Answer:
47
Step-by-step explanation:
mean is found by dividing the sum of the terms by the number of terms:
(43+48+41+41+x)/5=44
173+x=220
x=220-172=47
find the missing measure
Julie has $80,000 to invest. She invests part at 5%, one fourth this amount at 6%, and the balance 7%. Her total annual income from interest is $4,700. Find the amount invested at each rate.
Answer:
Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.
Step-by-step explanation:
Given that Julie has $ 80,000 to invest, and she invests part at 5%, one fourth this amount at 6%, and the balance 7%, knowing that her total annual income from interest is $ 4,700, to find the amount invested at each rate se you must perform the following calculation:
80,000 / 4 = 20,000
20,000 x 0.06 = 1,200
4,700 - 1,200 = 3,500
60,000 x 0.07 + 0 x 0.05 = 4,200
50,000 x 0.07 + 10,000 x 0.05 = 4,000
40,000 x 0.07 + 20,000 x 0.05 = 3,800
30,000 x 0.07 + 20,000 x 0.05 = 3,600
25,000 x 0.07 + 35,000 x 0.05 = 3,500
Thus, Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.
Triangle B C D is shrunk to form triangle B prime C prime D prime.
Identify the type of transformation that maps triangle BCD onto triangle B’C’D’.
The transformation is a
Answer:
dilation.
Step-by-step explanation:
Answer:
dilation
Step-by-step explanation:
Hi!! When we do percents could decimal way be sufficient or will fraction way be?
Answer:
fraction way would be
Step-by-step explanation:
Which expression is equivalent to − 3 4 ( 8 y − 12 ) + 1 5 ( 15 y − 30 ) ? A. –3y – 15 B. –3y + 3 C. –2y – 12 D. y – 3
Given:
The expression is
[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]
Using distributive property, we get
[tex]=-\dfrac{3}{4}(8y)-\dfrac{3}{4}(-12)+\dfrac{1}{5}(15y)+\dfrac{1}{5}(-30)[/tex]
[tex]=-6y+9+3y-6[/tex]
On combining like terms, we get
[tex]=(-6y+3y)+(9-6)[/tex]
[tex]=-3y+3[/tex]
Therefore, the correct option is B.
can anyone help with this???
Answer:
X= 13
A=104
C=26
Step-by-step explanation:
the equation is 8x+2x+50=180
10x=130
x=13
3/10 divided by 2/5?
Answer:
3/4 is your answer
Step-by-step explanation:
The hypotenuse of a right triangle measures 15 cm and one of its legs
measures 5 cm. Find the measure of the other leg. If necessary, round to the
nearest tenth
Answer:
√200 or 14.1
Step-by-step explanation:
Pythagoras' Theorem: a²+b²=c²
Rearrange to get b² (one of the smaller sides): c²-a²=b²
225-25=200
√200 = 14.1
Answer:
14.1 I hope this helps! Brainliest please!
Step-by-step explanation:
So we use the Pythagorean theorem which is a squared + b squared = c squared. C is the hypotenuse. So we do:
15 squared - 5 sqaured = b squared
225 - 25 = b squared
200 = b squared
14.1 = b
PLEASE ITS DUE IN 5 MINUTES I WILL MARK BRAINLIEST!
Answer: A. the first one wouldn't graph with the x^2 but with it I would say A. Hope this helps
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
Given:
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.
To find:
The all possible values of ∠X, to the nearest degree.
Solution:
Law of Sines:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
For ΔWXY,
[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}[/tex]
Now,
[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}[/tex]
[tex]\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}[/tex]
[tex]900\sin X=680\sin (157^\circ)[/tex]
[tex]\sin X=\dfrac{680}{900}\sin (157^\circ)[/tex]
[tex]\sin X=0.295219[/tex]
[tex]X=\sin^{-1}(0.295219)[/tex]
[tex]X=17.17067[/tex]
[tex]X\approx 17[/tex]
Therefore, the value of ∠X is 17 degrees.
Danielle makes $5,000 per week as a surgeon. Soon she will receive a 15% raise. How much money will she make per week after this raise? $750 54.250 55.150 55.750 $7,500
Answer:
50000
Step-by-step explanation:
Answer:
$50,000 would be the answer
Step-by-step explanation:
Which coordinates represent a translation of B(1, 2) 3 units to the left and 2 units up?
B′(–2, 0)
B′(–2, 4)
B′(4, 4)
B′(4, 0)
Answer:
(-2,4)
Step-by-step explanation:
B(1,2)
(x-3, y+2)
1-3=-2
x=(-2)
2+2=4
y=4
Hope this helps! :)
Answer:
B'(-2, 4)
Step-by-step explanation:
If it goes 3 units left, that means you're doing x - 3.
If it goes 2 units up that means you're doing y + 2 This would be:
(1 - 3, 2 + 2)
(-2, 4)
Round 14.6837 to the nearest HUNDREDTHS
Answer:
it's 14.68
Step-by-step explanation:
Answer:
14.68
Step-by-step explanation:
1|4|.|6|8|3|7
1=tens
4=ones
.=decimal
6=tenths
8=hundreths
3=thousanths
7=ten thousandths
3 is less than 5 so 8 stays the same
1/2x + 7 = x + 13 solution
Answer:
-3
Step-by-step explanation:
How many kilograms of chocolate will each person get if 4 people share 13 of a kilogram of chocolate equally?
Step-by-step explanation:
hope it helps
plz rate my answer
What is Turtle divided by Kitten? YALL I NEED HELP ASAP ON THIS!!!!!!1
Answer:
rabbit!
Step-by-step explanation:
:-)
Sam bought 6 pens for an unknown price plus a
backpack. If he spent a total of $28.50, write an
equation to find the cost of each pen.
Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?
Answer:
g5654
Step-by-step explanation:
EXPLANATION PLEASE BRAINLIEST
Which of the following was an aim of President Wilson’s Fourteen Points?
A. Self-determination
B. American isolationism
C. Stockpiling arms
D. Tariffs on trade
Solve for x Round to the nearest 100th if needed.
x/13 + 18 = 49
Answer:
2.4
Step-by-step explanation:
X=49-18/13
X=31/13
X=2.38
May you please help me with this
Answer:
ratio of a is 44:56, ratio of b is 97:3
fraction of a is 44/100, fraction of b is 97/100
decimal of a is 0.44, decimal of b is 0.97
percent of a is 97%, and percent of b is 97%
if this is wrong im so sorry :()()()()(
step-by-step explanation:
Can someone pls help me with this ?
Answer:
1,3,4,5
Step-by-step explanation:
I cant see 8
A teacher can grade 10.5 tests every 30 minutes. How many tests can they grade in two 45 minute prep periods?
Answer:
31 tests.
Step-by-step explanation:
The rate for the grading is 10.5 every 30 minutes.
Two 45 minute prep periods are 90 minutes.
90 / 30 = 3.
Since three 30 minute periods fit into 90 minutes, we get
3 x 10.5 = 31.5 tests.
Since a teacher did not finish grading the .5 of the test, we don't count it.
Our answer is 31 tests.
Write an equation for the following line.
10
-10
10
-101
When can we say that a function is continuous?
find the common factors of the given terms 1. 12x, 36. 2. 2y, 22x. 3. 14pq, 28p^2 q^2
Answer:
answer 1. 12. 2nd is 2. and 3rd is 14pq
hope it helps
What statement describes the expression 10 +1/4× (5+3)-3
Answer:
The answer would be 9.
Step-by-step explanation:
10 + 1/4 x (5 + 3) - 3
10 + 1/4 x (8) - 3
10 + 2 - 3
12 - 3
9
Please help and hurry please
Answer:
x=7.48
Step-by-step explanation:
13^2+x^2=15^2
169+x^2=225
x^2=56
x=7.48
Answer:
x = 7.48 (2d.p.) or 7.5 (1 d.p.)
Step-by-step explanation:
Use Pythagoras' Theorem.
15 x 15 (or 15²) = 225
13 x 13 = 169
√H - A = O
225 - 169 = 56
√56 = 7.48 (2d.p.) or 7.5 (1 d.p.)
