Answer:
4, 8, 16, 32
Step-by-step explanation:
4, 8, 16, 32 is a geometric sequence. The value multiplies by 2 every time.
PLZ HELP ASAP! if you have the solution, plz write that down as well
What is the solution to the equation x - 4.3 = 2.1 ?
x = 6.4
x = 2.2
x = 9.03
x = 1.8
Answer: Choice A) x = 6.4
To get that answer, you add 4.3 to both sides. This is to undo the "minus 4.3" and isolate the x.
Answer:
[tex]x - 4.3 = 2.1 \\ x - 4.3 + 4.3 = 2.1 + 4.3 \\ \boxed{x = 6.4}[/tex]
x = 6.4 is the right answer.Sam is driving at a speed of 15 meters per per second. He travels the distance from his home to his friends house in 90 minutes. How far away in kilometers is his friend's house
Answer:
81 km
Step-by-step explanation:
Speed = distance / time
speed and time are measured in different units, thus, time has to be converted to seconds
60 second = 1 minute
90 x 60 = 5400 seconds
15 m /s = distance / 5400 seconds
distance = 81,000 metre
1000m = 1 km
81000 / 1000 = 81km
You are filling a bookcase with books. The bookcase is 3 feet wide. Your hardcover books are 1 1/2 inches wide and your paperback books are 3⁄4 inches wide. If you have already placed 8 hardcover books on the shelf, what is the maximum number of paperback books you can also fit on the shelf?
Answer:
32 paperback books
Step-by-step explanation:
Given that :
Width of hardcover books = 1 1/2 inches
Width of paperback books = 3/4 inches
Number of hardcover books already on shelf = 8
Total width of shelf = 3 feets
1 foot = 12 inches
Hence, total shelf width in inches = (12 * 3) = 36 inches
Total width of hardcover books = (8 * 1 1/2) = 12 inches
Total shelf width left = (36 - 12) inches = 24 inches
Maximum number of paperback books :
Total shelf width left / paperback width
24 inches / (3/4)inches = 32 paperback books
QUESTION 2
In A XYZ, X = 18 cm, y = 14 cm, and z= 17 cm.
Determine the measure of Z to the nearest degree.
a. 66°
b. 63°
c. 57°
d. 60°
Answer:
B: 63
Step-by-step explanation:
What is the quotient when -45 is divided by -97
Answer:
0.463
Step-by-step explanation:
Answer:
quotient is 0.4639175258
Step-by-step explanation:
quotient is the result of dividing the two numbers
-45 / -97 = (-1)*45 / (-1)*97= , simplify -1/-1 because equals 1
45/97 = .4639175258 , using the calculator
45/97 =0 R 45, zero is the quotient and 45 is the remainder
the least common multiple of ½,⅓,⅘ and ³/¹⁰ is a)90 b)50 c)30 d)15 e)10
Answer:
Step-by-step explanation:
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
r = 3 cm
3 cm
Answer:
22/7×9×3=22×9×3=594÷7=84.85
Answer:
56.5 For Acellus Users
Step-by-step explanation:
Step 1. 2 x 3.14(pi) x radius(3) x height(3)
Step 2. Once added up should equal 56.5
Remember 2 x 3.14 x 3 x 3 = 56.5
Part 1: - What is the end-of-year wealth if Jane Christine receives a stated annual interest rate of 24% compounded monthly on a $1 investment? - Harry DeAngelo is investing $5,000 at a nominal interest rate of 12%, compounded quarterly, for five years. What is his wealth at the end of five years? - Linda Defond invested $1,000 at a continuously compounded rate of 10% for two year. What is the value of her investment at the end of two years?
Answer:
$1.27
$9030.56
$2,210.34
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/n)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
1. 1( 1 + 0.24 /12)^12 = $1.27
2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56
the formula for calculating future value when there is continuous compounding is : A x e^r x N
A= amount e = 2.7182818 N = number of years r = interest rate
3. 1000 x e^0.1 x 2 = $2,210.34
Please help with question thank you
Answer:
The answer is 3x=50-10y
Help anyone can help me do this question,I will mark brainlest.
Step-by-step explanation:
here's the answer to your question
Answer:
Q.8 . circumference of circle =2×pi×r
157cm =2×3.14×r
157cm =6.28×r
157cm/6.28 =r
25cm =radius
Q.9. circumference of circle=2×pi×r
99cm =2×22/7×r
99cm =44/7×r
(99cm×7)/44=r
15.75cm =r
2×15.75cm =diameter
31.5cm=diameter
(3.1 x 10^10) X (4.6 x 10^4) divided by (9.4 x 10^-3)
(This is scientific notation)
Answer:
1.5×10^17
Step-by-step explanation:
it would be better to first multiply the two then divide the answer by 9.4×10^-3
I hope this helps
In the diagram below, AB is parallel to ¿o. What is the value of x?
What is the value of X?
Answer:
x= 80
Step-by-step explanation:
70 +30=180
sum of angles is triangle is 180 degree
sp 180-100= 80
Answer:
80 degrees
Step-by-step explanation:
Triangle= 180 degrees
70+30=100
180-100=80
At Fireflies Kids Camp, 4 out of the 10 kids in the yellow cabin are taking swimming lessons. In the blue cabin, 5 out of the 15 kids are taking swimming lessons. Do both cabins have the same ratio of swimmers to total kids?
Answer:
Both cabins do not have the same ratio of swimmers to total kids.
Step-by-step explanation:
The ratio of swimmers to total kids in the yellow cabin is:
4 : 10
The ratio of swimmers to total kids in the blue cabin is:
5 : 15
4 : 10 and 5 : 15 are not equivalent ratios because:
LCM of 10 and 15 is 30
Multiply each term in a ratio by a number so that the second term is 30:
4 x 3 = 12
10 x 3 = 30
4 : 10 = 12 : 30
5 x 2 = 10
15 x 2 = 30
5 : 15 = 10 : 30
12 : 30 and 10 : 30 are NOT the same ratios.
Hope this helps!
PLSS HELP!! VERY EASY.
Alex wants to invite 5 of his 9 friends to his birthday party. Two of his friends are twins and they agree to come only if they are invited together, hence Alex will either invite both or neither of them. In how many ways can Alex invite five of his friends?
Answer:
35 ways
Step-by-step explanation:
Alex has 9 friends and wants to invite 5 friends. Since Alex requires two of his friends who are twins to come together to his birthday party, since the two of them form a group, the number of ways we can select the two of them to form a group of two is ²C₂ = 1 way.
Since we have removed two out of the nine friends, we are left with 7 friends. Also, two friends are already selected, so we are left with space for 3 friends. So, the number of ways we can select a group of 3 friends out of 7 is ⁷C₃ = 7 × 6 × 5/3! = 35 ways.
So, the total number ways we can select 5 friend out of 9 to party come to the birthday include two friends is ²C₂ × ⁷C₃ = 1 × 35 = 35 ways
Two boys together have $12. One of them has $10 more than the other. How much money does each of them have
PLEASE HELP ASAP
Please
Answer:
1. 10
2. 12.3
3. 34.5
and this will be the correct answer.
What is the value of the first term in the following arithmetic sequence?
-9, -2, 5, 12, ...
-9
7
9
-7
Answer:
-9
Step-by-step explanation:
-9, -2, 5, 12,.........
The first term is the first number in the sequence
-9
[tex]\sf{ }[/tex]
The first first term in the following arithmetic sequence
-9, -2, 5, 12, .. is -9
Which of the following lines is parallel to the line
y = 1/2x -6
Select one:
a) y=-1/2x-6
b) y=2x+1
c) y=-1/2x+5
d) y=1/2x-3
Answer:
y = 1/2x - 3 (option - d)
Step-by-step explanation:
The lines are parallel if they have the same slope/gradient. So by comparing with y = mx + c (where 'm' is the slope and 'c' is the y-intercept).
Line y = 1/2 x - 6 has the slope m = 1/2
and the line in option 'd'
y = 1/2 x -3 has the slope m = 1/2
Slopes are equal and lines are parallel.
Thank-you.
#Muhib
solve x
solve x
solve x
Answer:
x = 25
Step-by-step explanation:
When you combine both angles, you can get a supplementary angle which means that when they are both added, it should add up to be 180 degrees. With that being said, we can create an equation and solve for x.
5x - 5 + 2x + 10 = 180
~Combine like terms
7x + 5 = 180
~Subtract 5 to both sides
7x = 175
~Divide 7 to both sides
x = 25
Best of Luck!
Answer: x = 25
Step-by-Step Explanation:
We are given a line, hence it is a straight angle being 180°
Therefore,
=> 5x - 5 + 2x + 10 = 180
= 5x - 5 + 2x = 180 - 10 = 170
= 5x + 2x = 170 + 5 = 175
= 7x = 175
=> x = 175/7 = 25
Therefore, x = 25
Additionally, finding the values of each angle :-
=> 5x - 5
= 5(25) - 5
= 125 - 5
=> 120°
=> 2x + 10
= 2(25) + 10
= 50 + 10
=> 60°
Therefore, one angle is 120° and the other is 60°
Match the function with its corresponding graph
Answer:
Step-by-step explanation:
One way to match an equation of a straight line with the graph of a straight line is to use the slope and y-intercept. Here is an example of the graph of an equation. Below is the graph of the equation y = 2 x + 10.
first answer gets marked brainliest!!
Please help me out, thank u so much!
Answer:
C
Step-by-step explanation:
Inverse function's domain and range flip when comparing them to their original function
The graph f(x) shown below has the same shape as the graph of g(x)=x^2 which of the following is the equation of f(x)
Answer:
Choice D. [tex]F(x)=x^2-4[/tex]
Step-by-step explanation:
Since the graph is translated down 4, it cannot be choice A. or C.Since the graph is concave up, choice B. is ruled out.Leaving choice D. the correct answer.According to the synthetic division below, which of the following statements are true?
Answer:
Step-by-step explanation:
That 3 sitting outside there in that little "box" thing is a root/solution/zero of the polynomial. The numbers underneath the line are the coefficients of the depressed polynomial, which means that the polynomial is 1 degree lower than the degree with which we started. If we started with an x-squared, this degree is a single x, better known as linear (a line). Anyway, (x - 3) is a zero of the polynomial, which also means that it's a factor. So A applies. x = 3 is a root, so C applies. And F also because the depressed polynomial, the remainder, is 2x + 4.
what is the union of { January, February, march} and {April, May, June}? what is their intersection? represent the two sets on a Venn diagram.
Answer:
{ January, February, march} ∪ {April, May, June} =
{ January, February, march ,April, May, June}
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
{ January, February, march} ∩ {April, May, June} = {} = ∅ = null set
Step-by-step explanation:
The union of sets is {January, February, march, April, May, June} and the intersection of sets is {∅}.
What is the Venn diagram?A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.
Let, A={January, February, march} and B={April, May, June}
Now, union of sets is
A∪B={January, February, march}∪{April, May, June}
= {January, February, march, April, May, June}
Intersection of sets is
A∩B={January, February, march}∩{April, May, June}
= {∅}
Therefore, the union of sets is {January, February, march, April, May, June} and the intersection of sets is {∅}.
To learn more about the Venn diagram visit:
https://brainly.com/question/28060706.
#SPJ2
Please hurry I will mark you brainliest
Answer:
12500
Step-by-step explanation:
11830 - 10464 = 1366 (difference 1995 to 96)
10464 - 8958 = 1506 (94 to 95)
8958 - 8135 = 823
8135 - 7537 = 598
7537 - 6642 = 895
6642 - 5942 = 700
5942 - 3579 = 2363 (5 years)
so, we have the annual differences over 11 years.
the expectation for the following year would be based on the mean value of growth rate and not on the mean value of the absolute numbers, as we know the number of transactions for 1997 will be higher than for 1996.
so, the mean value of growth over these 11 years is 750.
so, based on this we would estimate for 1997
11830 + 750 = 12580 (12500 being the closest answer option).
but if the business environment has changed over the most recent years, we should not bring in earlier years into that calculation (or at least not with the same weight).
we could argue that the last 2 years had a totally different behavior than the years before.
so, just creating a mean value of the last 2 years' changes would be
(1366 + 1506) / 2 = 2872 / 2 = 1436.
now, or prediction would be
11830 + 1436 = 13266, which would be closer to the 13500 answer option.
Given the graph of m(x), find m(-2).
A.-2
B.0
C.5
D.-10
what is the equivalent fractions to 4/18
Answer:
2/9
Step-by-step explanation:
Im literally being timed
Answer:
2 x^3 ( x-3)
----------------------------
5 (x+3)
Step-by-step explanation:
12 x^4 ( x-3) (x+5)
----------------------------
30x (x+3) (x+5)
Cancel the x+5
12 x^4 ( x-3)
----------------------------
30x (x+3)
Rewriting 12x^4 and 30x
6*2 x^3 *x ( x-3)
----------------------------
6*5 x (x+3)
Canceling 6x
2 x^3 ( x-3)
----------------------------
5 (x+3)
