Answer:
Step-by-step explanation:
(1+x)^6 = (1+3)^3 x (1+3)^3
(1+3x+ 3x^2+x^3) x (1+3x+ 3x^2+x^3)
1+ 6x+15x^2+20x^3+15x^4+6x^5+x^6
The graph of y=54x+1 is shown below. The coordinate (0,y) is a solution of the equation. Given the x-value of 0, what is the value of the y-coordinate for the coordinate (0,y)?
Answer: y =1
Step-by-step explanation:
Evaluating the equation for x = 0:
y = 54 (0) + 1
y =1
The y-coordinate for the coordinate (0, y) is 1 if the coordinate (0,y) is a solution to the equation. Given the x-value of 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The missing figure is attached to the picture.
Calculataing the equation for x = 0:
y = 54 (0) + 1
y = 1
Thus, the y-coordinate for the coordinate (0, y) is 1 if the coordinate (0,y) is a solution to the equation. Given the x-value of 0.
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What is the value of the angle marked with I?
3.2
87°
3.2)
3.2
C
3.2
What is the constant of proportionality in the equation y = 2.5x?
Answer:
2.5
Step-by-step explanation:
The standard equation representing quantities in proportion is
y = kx ← k is the constant of proportionality
y = 2.5x ← is in standard form
with k = 2.5
Answer:
2.5
Step-by-step explanation:
Y = 2.5x
then you would have put in with x
so i got x =2.5
pls help I'm too lazy
20 points
Answer:
2/5
Step-by-step explanation:
multiples of 2 = 2,4
probability of getting multiples of 2 is 2
total probability is 5
so probability of getting multiples of 2 is..... 2/5
hope it helps
all the best
Answer:
2/5
Step-by-step explanation:
an expression is given: 35c + 14b - 7 . use the GCF of the terms to write an equivalent expression.
Answer:
7(5c+2b-1)
Step-by-step explanation:
GCF stands for greatest common factor, so you need to find a common factor between 35, 14, and -7. Use a method of your choice to find the GCF and you should find that it's 7. Then, you take the 7 "out" and put parentheses around the original equation while dividing every "term" by 7.
Answer:
k
Step-by-step explanation:
Alex drew a shape that belongs to both the category of rhombuses and the category of rectangles.
Part A
Alex said the most specific name for the shape is a quadrilateral. Is Alex correct? Explain why or why not.
Part B
Name one additional category of polygons that Alex's shape belongs to. Justify your answer.
Answer:
yes because they have equal sides
It can also be called a polygon because they have congruent sides.
The circumference of a redwood tree trunk is 16 ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk?
O2,560rt ft
O 640 ft
O 25,600r ft
O 6,400rt ft
Answer:
O 25,600r ft
Step-by-step explanation:
Volume =πr2h
= π×82×100
= 6400π
= 20106.192982975 feet ^3
Answer:
6,400π ft3
Step-by-step explanation:
took test and got it right
HELP ME HELP ME HELP ME
Answer:
C
Step-by-step explanation:
work shown below
Is 0.11 * 10-6 in scientific notation? If not, explain.
The number is in scientific notation.
No, it is not in scientific notation. The number is not written as a product of 2 factor
No, it is not in scientific notation. The first factor is not less than 10.
No, it is not in scientific notation. The first factor is not greater than or equal to 1.
Answer:
No, it is not in scientific notation. The first factor is not greater than or equal to 1.
Step-by-step explanation:
Scientific notation is a method of writing numbers as the product of two factors where the first factor is a number whose absolute value is greater than or equal to 1 but less than 10.
Answer:
last option
Step-by-step explanation:
In scientific notation the number being multiplied by the power of 10 has to be in between 1 and 10, and since 0.11 doesn't satisfy this the answer is it is not in scientific notation because the first factor is not greater than or equal to 1.
What is the exact value of sinF?
Answer:
Option 2
Step-by-step explanation:
To find the sine of F, we have to find the length of the hypotenuse which is 2√13 from the Pythagorean Theorem. Then, sinF = opposite side / hypotenuse = 4 / 2√13 = 4√13 / 26 = 2√13 / 13. Hope this helps!
Charlie's puppy, Coby, weighs 8 pounds. How many ounces does Coby weigh?
Answer:
128 oz
Step-by-step explanation:
recall that 1 lb is 16 oz
hence 8 lbs = 8 x 16 = 128 oz
A number, x, rounded to 2 significant figures is 1300
Write down the error interval for x.
Answer:
[tex][1250,1350)[/tex].
Step-by-step explanation:
It is given that a number, x, rounded to 2 significant figures is 1300.
It is possible if,
1. The value of x is greater than of equal to 1250 and less than or equal to 1300.
i.e., [tex]1250\leq x\leq 1300[/tex] ...(1)
2. The value of x is greater than of equal to 1300 and less than 1350.
i.e., [tex]1300\leq x<1350[/tex] ...(2)
On combining (1) and (2), we get
[tex]1250\leq x < 1350[/tex]
1350 is not included in the error interval for x.
Interval notation is [tex][1250,1350)[/tex].
Therefore, the error interval for x is [tex][1250,1350)[/tex].
What is the next term of the following sequence?
20, 10, 5, 21/2, ...
Answer:
1 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Note there is a common ratio between consecutive terms, that is
10 ÷ 20 = 5 ÷ 10 = 2 [tex]\frac{1}{2}[/tex] ÷ 5 = [tex]\frac{1}{2}[/tex]
Thus to obtain the next term in the sequence multiply the previous term by [tex]\frac{1}{2}[/tex]
2 [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 1 [tex]\frac{1}{4}[/tex]
4) Grant had an account balance of $550 in her checking account. Over the next month, he deposits $25, pays his annual credit card fee of $100.00, and makes ATM withdrawals of $200.00 and $80.00 from an ATM that charges a $2.50 fee per transaction. What is his account balance at the end of the month?
Enter your answer as a number, for example: 260
Answer:
190
Step-by-step explanation:
550 + 25 = 575
575 - 100 = 475
475 - 202.5 = 272.5
272.5 - 82.5 = 190
The account balance at the end of the month would be; 190 dollar.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We have given that Grant had an account balance of $550 in her checking account.
Then he deposits $25,
550 + 25 = 575
So he pays his annual credit card fee of $100.00,
575 - 100 = 475
Then he makes ATM withdrawals of $200.00
475 - 202.5 = 272.5
Then $80.00 from an ATM that charges a $2.50 fee per transaction.
272.5 - 82.5 = 190
Therefore, the account balance at the end of the month would be; 190 dollar.
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Sam read 60 pages, which is 3/4 of the book. How many pages are there in the book?
Divide the pages read by the portion read:
60/ 3/4 = 60 x 4/3 = 240/3 = 80
The book has 80 pages.
Answer:
80 pages in the book
Step-by-step explanation:
60/3=20
20*4=80
80 pages
Select the ordered pairs that satisfy the equation y=1/5x.Check all that apply.
Answer: C, E, F
Step-by-step explanation:
Plug in the "x" and "y" values from the ordered pairs into the equation.For A: 3 = [tex]\frac{1(5)}{5}[/tex] → 3 ≠ 1 → A is eliminated.For B: 5 = [tex]\frac{1(1)}{5}[/tex] → 5 ≠ [tex]\frac{1}{5}[/tex] → B is eliminated.For C: 2 = [tex]\frac{1(10)}{5}[/tex] → 2 = 2 → C satisfies the equation.For D: 10 = [tex]\frac{1(4)}{5}[/tex]→ 10 ≠ [tex]\frac{4}{5}[/tex] → D is eliminated.For E: -1 = [tex]\frac{1(-5)}{5}[/tex]→ -1 = -1 → E satisfies the equation.For F: 3 = [tex]\frac{1(15)}{5}[/tex]→ 3 = 3 → F satisfies the equation.Therefore, C, E, and F are the answers.Answer:
C, E, and F
Step-by-step explanation:
Substitute each pair in for the variables and see which pairs are true.
What is the interquartile range of the box and whisker plot
Answer:
(IQR) interquartile range = 5
Step-by-step explanation:
Lower quartile: 48
Upper quartile: 53
Median: 52
Lowest value: 46
Highest value: 55
(IQR) interquartile range: Upper quartile - Lower quartile = final answer
(IQR) interquartile range: 53 - 48 = 5
Which equation represents a line which is parallel to y = 0?
A. y = 6
B. x = -5
C. y = x
D. y = x - 1
Answer:
A. y = 6
Step-by-step explanation:
Y= 0 is equation of x - axis
equation of any straight line which is parallel to x-axis and at distance of a from it is given y = c.
Therefore, from the given option only option A y =6 is in form of y = a and hence is the correct answer.
_______________________________________
Also we know that for two lines to be parallel , their slope should be equal.
slope of line y = mx + c is m
slope of y = 0 here m = 0, hence slope is 0
out of the given option
only for y - 6 slope is 0 and hence it is the correct answer.
___________________________________
What is the solution to the system of linear equations?
5
-4
f(x)
(3.0)
(-3.3)
(02)
(3, 1)
1
5
2.
3
4
5
х
432
g(x)
2-
-3
Answer:
The solution to the system of linear equation is (0,2)
The solution to the system of linear equation is (2.-3).
What are simultaneous linear equations?Simultaneous linear equations can be defined as the two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
3x-y=9 - - - -(1)
4x+y=5 - - - - (2)
Adding equations 1 and 2
7x = 14
x = 2
Now, we have
3(2) - y = 9
-y = 9 - 6
-y = 3
y = -3
Thus, the solution of the given simultaneous equations are x = 2 and y = -3.
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What percent is equivalent to 1/25
O 4%
O 5%
O 20%
O 25%
Answer:
4%
Step-by-step explanation:
1/25 = 0.04 = 4%
Two boys, starting at the same point, walk-in opposite directions for x meters, turn right and walk another y meters, and turn right and walk another x meters. What is the distance between them?
Answer:
2y meters
Step-by-step explanation:
The first x meters are cancelled with the last x meters because after turning right two times they walk in the opposite direction that each of them started to walk.
The y meters each of them walk are also in the opposite direction, so given that each of them walked y meters, the distance between them is 2y meters.
What is the value of x?
Answer & Step-by-step explanation:
We can use the Pythagorean Theorem to find the value of x.
[tex]a^2+b^2=c^2[/tex]
For a, we will use 3.
For b, we will use 4.
For c, that will be our x.
[tex]3^2+4^2=c^2\\9+16=c^2\\25=c^2\\\sqrt{25} =\sqrt{c^2}\\ 5=c[/tex]
So, the value of x is 5.
Which is the solution to the inequality?
x < 1 / 2
X>
7
12
O X <1
12
XS1
12
3 1/2
4(2x-3)+8(x-4)=2(2x+6) help plzzz
Answer:
x = 14/3
Step-by-step explanation:
4(2x-3)+8(x-4)=2(2x+6)
Distribute
8x -12 +8x - 32 = 4x +12
Combine like terms
16x -44 = 4x+12
Subtract 4x
16x-4x -44 = 4x+12-4x
12x -44 =12
Add 44 to each side
12x-44+44 = 12+44
12x = 56
Divide each side by 12
12x/12 = 56/12
x = 14/3
Answer:
[tex]x=\dfrac{14}{3}[/tex]
Step-by-step explanation:
[tex]4(2x-3)+8(x-4)=2(2x+6)[/tex]
Expand parentheses:
[tex]8x-12+8x-32=4x+12[/tex]
Combine similar terms:
[tex]16x-44=4x+12[/tex]
Subtract 4x and add 44 to both sides:
[tex]12x=56[/tex]
Divide both sides by 12:
[tex]x=\dfrac{14}{3}[/tex]
Hope this helps!
Simplify the expression.
[tex]\frac{6}{1+\sqrt{3} }[/tex]
Answer:
Step-by-step explanation:
Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.
Conjugate of the denominator 1 + √3 is 1 - √3
[tex]\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}[/tex]
Are the events of drawing a rook from the bag of white
pieces and then drawing the king from the bag of
black pieces dependent or independent events? Find
the probability of this compound event.
Answer:
Independent events, 1/16
Step-by-step explanation:
What we must take into account is that they are 2 different bags, because in one bag are the black pieces and in another bag are the white feed, regardless of which piece is removed, one event has nothing to do with the other event being different bags.
Which means that they are independent events.
And the probability for each case would be 1/16, because the probability is one piece out of 16 that is in each bag.
Your school is planning a field trip to a history museum. They are going to rent a large bus for $450. The cost of the ticket to the museum is $15.75. Write an equation to represent this situation. Then, find how many people need to go on the trip for it to cost $40 per person.
Answer:
19
Step-by-step explanation:
To write an equation for the first situation, you need to determine which factors can be changed. The bus will not change since you can have multiple people in one. The ticket to the museum is per person. This will change depending on how many people there are.
450 + 15.75x
For the second equation, you need to find how many people can go for it the cost to be equal to $40 per person. Set the equation equal to $40 per person and solve.
450 + 15.75x = 40x
450 = 24.25x
x = 18.56
Round up to 19 since you can't 0.56 of a person.
24+4(3+1)
answer plz
Answer:
40
Step-by-step explanation:
follow the BEDMAS
24+4(3+1)
=24+4(4)
=24+16
=40
Answer:
40
Step-by-step explanation:
24+4(3+1) Order of operations(Bedmas)
24+4(3+1)
24 + 12 + 4. Left to right
36 + 4
40
50 points. Please quick.
Drag each condition to the correct location on the table. Match each condition to the number of triangles that can be constructed to fit the condition.
Answer:
Condition A.
A rectangle with four right angles
There can be many quadrilaterals satisfying this condition.
Condition B.
A square with one side measuring 5 inches
There can be only one quadrilateral satisfying this condition.
Condition C.
A rhombus with one angle measuring 43°
There can be many quadrilaterals satisfying this condition.
Condition D.
A parallelogram with one angle measuring 32°
There can be many quadrilaterals satisfying this condition.
Condition E.
A parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches.
There can be only one quadrilateral satisfying this condition.
Condition F.
A rectangle with adjacent sides measuring 4 inches and 3 inches.
There can be only one quadrilateral satisfying this condition
Step-by-step explanation:
Answer:
No Triangles: A, C
One Triangle: D, F
Many Triangles: B, E
Step-by-step explanation:
Did it on Edmentum and got it right.
Two standard six-sided dice are tossed. What is the probability of getting a 3 and a 5
P(3 and 5)
a)1/24
b)1/36
c)1/3
d)1/12
Answer:
1/36
Step-by-step explanation:
Getting a 3 is 1/6
Getting a 5 is 1/6
Multiply those and get 1/36
