Answer:
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888
Step-by-step explanation:
The given series is;
12, 16, 20, ...,
Therefore, the first term of the series is, a = 12
The common difference of series is found as follows;
The difference between subsequent terms, 12 and 16 is 16 - 12 = 4
The difference between subsequent terms, 16, and 20 is 20 - 16 = 4
Therefore, the common difference, d = 4
The series is therefore an arithmetic projection, AP
The sum of the first 'n' terms of an AP, Sₙ, is given as follows;
[tex]S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ][/tex]
(47/2)*(2*12+(47-1)*4)
The sum of the first 47 terms is therefore given as follows;
[tex]S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888[/tex]
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888
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Answer:
answer = 2
4- 10
6- 15
Step-by-step explanation:
i have learned it
Those are the options
Answer:
Angle addition postulate
Step-by-step explanation:
Which number has the greatest value
A 8.07 x 10^5
B 1.34 x 10^-4
C 9.23 x 10^-3
D 7.92 x 10^2
Answer:
See the explanation below
Step-by-step explanation:
Which number has the greatest value
From the given list of numbers
Option A has the greatest value
A 8.07 x 10^5
This is because it is raised to a positive number 5, and also the integer is the largest that is raised to a non-negative number/power
The plan shows dimensions for your new kitchen cabinets. In order to leave an opening for the window, you have designed two cube-shaped cabinets. These connect to two long cabinets that are rectangular prisms in shape. How much space will you have inside the cabinets?
Answer:
24.75 thats it
Step-by-step explanation:
Giving brainlist to whoever answers
Answer:
its 45 so A
Step-by-step explanation:
because 5*9=45 and you dont multiply it by the height because your trying to find the base area and the base is the bottom part of the figure we cannot see.
PLEASE HELP ASAP!!!!!
Answer:
D. 30
Step-by-step explanation:
60 = 2x
30 = x
In ΔQRS, r = 930 cm, q = 920 cm and ∠Q=114°. Find all possible values of ∠R, to the nearest 10th of a degree.
Answer:
112.6 degrees
Step-by-step explanation:
Which expression is equivalent to 6(4 + 9)?
A. 6(36)
C. 6(4) + 6(9)
B. (6 + 4). (6 + 9)
D. 6(4):69)
Answer:
C. 6(4) + 6(9)
Step-by-step explanation:
Using distributive property for the expression 6(4+9) you multiply each number by the 6.
a rectangular prism has a lenghth of 9 inches a width of 4 inches and a height 1 1/2 inches the prism is filled with cubes that have edge lengths of 1/2 inches how many cubes are needed to fill the rectangular prism please help man
108 cubes would be needed to fill the prism
Babacar has a coupon for 20% off, after tax, at Burger Beast Restaurant. When Babacar and Arturo eat dinner at Burger Beast restaurant, their bill is $36.00 after tax. They use Babacar's coupon, and they decide to leave a tip that is 20% of the discounted price. How much did Babacar and Arturo pay in total?
Use the proper notation to name each:
a.) Line OP
b.) Line segment TV
c.) Ray GI
d.) Angle PLM
Answer:
D.) Ray GI
Step-by-step explanation:
sana nakatulong
Otis has saved $18,500 so far to buy a
house. He can put this amount into an
account that earns 5.1% simple interest,
or another with 5.1% compounded
annually. Which method of earning
interest should he choose, simple or
compound, and how much more interest
will the account earn using that method
after 4 years?
F Compound interest; $15,106.30
G Simple interest; $15,106.30
H Simple interest; $298.65
J Compound interest; $298.65
no
9514 1404 393
Answer:
J Compound interest; $298.65
Step-by-step explanation:
Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.
For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...
1.051^4 = 1.22024337
and the effective multiplier for simple interest is ...
1 +0.051·4 = 1.204
Then the difference in interest rate multiplier for the 4-year period is ...
1.22024337 -1.204 = 0.01614337
That fraction of the $18500 principal is $298.65.
Compound interest earns $298.65 more than simple interest in this scenario.
According to the diagram which similarity statements are true? Select all that apply.
Answer:
A, B and C are all the same as they are all right angles :)
Please mark as brainliest :0
Step-by-step explanation:
What is the median of the data set?
6, 7, 11, 14, 20, 30, 35
A. 7
B. 14
C. 6
D. 35
Answer:
B
14
I think it is right :D
Step-by-step explanation:
Answer: B, 14
Step-by-step explanation:
The median is the number in the middle of the set if the numbers are in order.
And if there is an odd amount of numbers.
The number in the middle of the list is 14.
If the list doesn't have an odd amount of number you add the 2 middle ones and take the average so divide by 2.
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
D
26
E
13
133
sin DE
sin E =
COS DE
cos E = 1
Justin bought 5 apples and 4 oranges for £45. On another occasion, he bought 2 apples and 8 oranges which cost £50. Find the cost of 3 apples and 7 oranges
Answer:
the cost of 3 apples and 7 oranges be £15 and £35 respectively
Step-by-step explanation:
Let us assume the apple be x
And, the oranges be y
Now according to the question
5x + 4y = £45
And,
2x + 8y = £50
Multiply by 2 in equation 1
So,
10x + 8y = £90
2x + 8y = £50
8x = £40
x = £5
And, y be
5(£5) + 4y = £45
£25 + 4y = £45
4y = 20
y = £5
So, the cost of 3 apples and 7 oranges be £15 and £35 respectively
7. The rent for an apartment was $5,600 per year in 2018. If the
rent increased at a rate of 4% each year thereafter, use an
exponential equation to find the rent of the apartment in 2025.
9514 1404 393
Answer:
$7369
Step-by-step explanation:
An exponential function is of the form ...
f(x) = a·b^x
where 'a' is the initial value, and 'b' is the growth factor. When the growth is given as a growth rate (4% per year), the growth factor is that value plus 1.
Here, the initial value, for x=0 in 2018, is 5600. So, the exponential model of the rent is ...
r(x) = 5600·(1 +.04)^x
r(x) = 5600·1.04^x . . . . . . . for x years after 2018
__
In 2025, we have x=2025 -2018 = 7. Then the rent is ...
r(7) = 5600·1.04^7 ≈ 7369
The rent of the apartment in 2025 is $7369 per year.
and this........................
Answer:
stephanie is right
Step-by-step explanation:
-3x + 6 = -24
-3x = -24 - 6
-3x = -30
x = 10
Answer: "Stephanie claims the answer is 10"
Step-by-step explanation:
-3x + 6 = -24
subtract 6 from both sides
-3x = -30
divide -3 from both sides
x = 10
convert 5 cubic miles to cubic feet
Answer:
7.36e+11
Step-by-step explanation:
Find the value of x.
35°
B
40°
H
100°
A
D
F
х
60°
55°
E
x= [?]°
Answer:
25!
Step-by-step explanation:
The value of measure of arc FE is 25°.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
In the figure, GB and GD are the secants of the circle.
In circle, intercept two arcs such that the measure of the angle that the segments form is equal to one-half the difference of the measures of the intercepted arcs. Thus arc length can be found as
[tex]\frac{1}{2}(mBD-mFE)=m \angle BGD[/tex] -------- (1)
Here, BD = [tex]35+100[/tex]
⇒ [tex]135[/tex]
FE = [tex]x[/tex]
m∠BGD = 55°
Now, equation 1 becomes
⇒ [tex]\frac{1}{2}(135-x)=55[/tex]
⇒ [tex](135-x)=55(2)[/tex]
⇒ [tex]135-x=110[/tex]
⇒ [tex]x=135-110[/tex]
⇒ [tex]x=25[/tex]
Hence we can conclude that the value of measure of arc FE is 25°.
Learn more about circles here
https://brainly.com/question/2768531
#SPJ2
HELP ASAP!! PLEASE!! Which ordered pair is not a solution to the equation y = 6.15 + x?
A) (2.41, 8.56). B) (6.09. 12.24). C) (9.72, 15.87). D) (12.42, 18.09)
Answer: D (12.42, 18.09)
Explanation:
For A, if you substitute them, 6.15+2.41(x because x always is first), you get 8.56 but y is 8.56. So therefore, A is wrong cause it is a solution but it asks us for an incorrect solution.
For B, if you substitute the numbers, 6.09+6.15 = 12.24 but y is 12.24 meaning 12.24 = 12.24 which is true. But the question asks us which is not true/a solution, so therefore, B is also wrong.
For C, if you substitute the numbers, you get 9.72+6.15 which is 15.87. Since y is 15.87, the substituted question is 15.87=15.87 which is true and therefore, C is also wrong since it is true but it is asking us for an incorrect solution.
We are then left with D, which is the correct option. I'm guessing you want an explanation for why it is correct. So if you substitute the numbers, you would get y = 12.42+6.15 and 12.42+6.15 is 18.57 but y is 18.09. So the equation is 18.09 = 18.57 which doesn't make sense and is false. Thus, D is the correct answer because it provides a set of numbers that is a false solution to the equation.
REMEMBER:
In an ordered pair, x is the first number while y is the second, so make sure you substitute correctly!
IM really struggling on these math problems can anyone help and help me how to show the WORK! PLEASE
Answer:
For the first one it is 5x+2
Step-by-step explanation:
(9x+5) - (4x+3) = ?
First you minus the x's together so,
9x-4x which would equal 5x
then you minus the 5 and 3 together so,
5-3 which would equal 2
then you put the 5x and the 2 together and you get
5x+2 :-)
For the rest of the problems, use this as an example!
4 and 5 are alternative interior angles. Find the measure of angle 4.
Answer:
<4 = 115
Step-by-step explanation:
<4 = 115 because of vertical angles
find the measure of angle b
Answer:
130
Step-by-step explanation:
sum of supplementary angle is 180
180-50
130
34 petri dishes are prepared with a growth medium. 16 are randomly selected and treated with antibiotic A. The other 18 are treated with antibiotic B. Each dish is inoculated with a bacteria. Several hours later, the diameter of the bacteria colony in each dish is measured in mm, with these results:
A: 8.59, 7.80, 4.11, 8.68, 8.08, 7.86, 6.97, 8.21, 1.72, 8.13, 7.48, 6.33, 8.32, 8.65, 3.06, 8.90
B: 5.59, 6.96, 5.25, 6.46, 0.09, 7.70, 3.10, 0.94, 7.00, 7.91, 6.39, 7.45, 5.79, 6.66, 5.91, 6.62, 5.07, 7.25
Let µA and µB be the respective population mean diameters across many similar hypothetical experiments. Consider a test at level α = 0.10 of H0 : µA − µB = 0 vs. HA : µA − µB 6= 0.(a) Do you think it is plausible that the samples came from approximately normal distributions? Why or why not?
Answer:
(a) According to the central limit theorem, the distributions of the sample means of sufficiently large samples randomly selected from a population with mean, μ and standard deviation, σ with replacement will be normally distributed
Therefore, given that the size of the population from which the samples were selected (34 petri dishes) is comparable the sizes of the samples, (16 and 18), therefore, the samples are approximately normal
Also given that the petri dishes were prepared with growth medium designed to increase the growth of microorganisms, with an expected amount of growth, the samples therefore came from approximately normal distributions
Step-by-step explanation:
Please please help me with my question
Answer:
V = 630ft³
LA = 570ft²
SA = 630ft²
Step-by-step explanation:
Okay, we've kinda been through the steps, so imma give the abridged version:
Volume:
5 x 13 = 33
30 x 19 = 630
LA:
19 x 13 = 247
19 x 12 = 228
5 x 19 = 95
247 + 228 + 95 = 570
SA:
12 x 5 = 60
60 + 570 = 630
hope this is right:)
Quadrilateral RUST has a vertex at R(2, 3).
R
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x,y - 1)?
A. (6,2)
B. (6,8)
C. (6,6)
D. (5,8)
Answer:
6, 8
Step-by-step explanation:
Help, I cant find the answer on this circle answer
Answer:
d.
Step-by-step explanation:
Apply the angle of intersecting secant theorem.
[tex] \frac{12x - 5 - 2x + 7}{2} = 6x + 19[/tex]
[tex] \frac{10x - 12}{2} = 6x + 19[/tex]
[tex]5x - 6 = 6x + 19[/tex]
[tex] - 6 = x + 19[/tex]
[tex]x = 13[/tex]
Plug 13 into Arc SW.
[tex](12)(13) - 5 = 151[/tex]
PLSSSS HELPPPP REWARD BRAINLIESTTT SOON!!!!!!
Answer:
1) linear
2) none of the above
Step-by-step explanation:
A linear function has a constant rate of change. The graph of any linear function is a straight line. If y = f(x) is a linear function, then for some constants b and m: y = b + mx.
When using substitution method to solve the following system of equations, what is the result of the first step ? x +2y=5 y=6x+3
