Answer:
10 + 7 + 4 + . . .; n = 5
The series is arithmetic
Common difference between terms = (-3)
10 - 3 = 7
7 - 3 = 4
Or:
10 + (-3) = 7
7 + (-3) = 4
--------------------------------------------------------------------------
Another example:
Arithmetic:
5, 9, 13, 17
common difference = 4
5 + 4 = 9
9 + 4 = 13
Geometric:
4, 8, 16, 32
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
common ratio = 2
--------------------------------------------------------------------------
10 + 7 + 4 + . . .; n = 5
a₁ = 10
a₂ = 7
a₄ = a₃ + d = 4 + (-3) = 4 - 3 = 1 (d = common difference)
a₅ = a₄ - 3 = 1 - 3 = -2
Or with formula:
[tex]d=a_{n} -a_{n-1}[/tex]
d = a₂ - a₁ = 7 - 10 = -3
aₙ = a₁ + (n - 1)d
fourth term = a₄ = 10 + (4 - 1)(-3) = 10 + 3(-3) = 10 + (-9) = 10 - 9 = 1
fifth term = a₅ = 10 + (5 - 1)(-3) = 10 + 4(-3) = 10 + (-12) = 10 - 12 = -2
Sum of the finite series (if n = 5):
[tex]S_{n} =\frac{n(a_{1} +a_{n} )}{2} \\S_{5} =\frac{5(a_{1} +a_{5} )}{2} \\S_{5} =\frac{5(10 +(-2) )}{2} \\S_{5} =\frac{5(8 )}{2} =\frac{40}{2} =20[/tex]
Manual count: S₅ = 10 + 7 + 4 + 1 + (-2) = 20
the product of nine and a number decreased by six
Answer:
9* (x-6)
9x-54
9x=54
x=54/9
x=6
Step-by-step explanation:
Help me pls which one
Answer:
C . 0.1
Step-by-step explanation:
There are nine lines between 0 and 1
The one the red dot is one is 0.1
What is the measure of y
6) Which of the following equations is of a parabola with a vertex at (3, 0)?
a) y = x2 + 3
b) y = x2-3
c) y = ( x + 3) 2
d) y = ( x - 3)2
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
We need a parabola with a vertex at (0,-3)
If we select the equation:
[tex]y=x^2-3[/tex]
When we put x = 0, we get
[tex]y=0-3[/tex]
[tex]y=-3[/tex]
And similarly, when we put y = -3, we get
[tex]-3=x^2-3[/tex]
[tex]0=x^2[/tex]
[tex]x=0[/tex]
Hence, second option is correct.
Solve the equation.
6x+7=8x-15
The answer to the question is 11
Answer:x=11
Step-by-step explanation:
i need helpp ..
I'm stuck here just to suffer
this is not my exam
just help mee
There are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have a three-dimensional shape shown in the picture with dimensions.
The total cubic units = 4×3×5 = 60 cubic cm
We can measure the volume with units of mm³, cm³, m³, km³
We can draw a relation between them:
mm³<cm³ <m³< km³
For the first picture, the unit mm³ would be best for measuring the volume.
For the second picture, the unit cm³ would be best for measuring the volume.
For the third picture, the unit m³ would be best for measuring the volume.
Thus, there are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.
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2) A box contains 9 red and 2 blue marbles and 3 yellow marbles. If you select oneat
random from the box, determine:
a) The probability the marble is red.
b) The odds in favor of selecting a red marble.
c) The probability the marble is blue.
d) The odds against selectinp a hlue marble
Answer:
red is more in value unlike the rest
Polygon a b c d is shown with exterior angles. exterior angle a is 25 degrees, exterior angle b is 146 degrees, and exterior angle d is 149 degrees. what is the measure of angle bcd? 25º 40º 140º 155º
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
What is a polygon?A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The sum of the exterior angles of a regular polygon will always equal 360
Given that;
Exterior angle a = 25 degreesExterior angle b = 146 degreesExterior angle d = 149 degreesExterior angle c = ?25° + 146° + 149° + c = 360°
320° + c = 360°
c = 360° - 320°
c = 40°
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
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Answer:
C. 140 degrees
Step-by-step explanation:
Got it right Edge2022
I need help 20 points
Answer:
[tex]A = 9\pi[/tex]
Step-by-step explanation:
This is basically just 3/4 of a circle, so the area will be:
[tex]A = \frac{3}{4} \pi r^{2}[/tex]
Plug in 6 for the radius:
[tex]A = \frac{3}{4} \pi (6)^{2}[/tex]
Simplify:
[tex]A = \frac{3}{4} \pi (36)[/tex]
Simplify further:
[tex]A = 9\pi[/tex]
Answer: 84.825
Step-by-step explanation:
area of circle = pi r squared.
radius is 6. plug in numbers for area.
the whole circle is 113.1 x 3/4 is 84.825
If 3x^2+3y^2 = 42 and xy = -15, find the value of (x-y)^2
Answer:
3x² + 3y² = 42
3 ( x² + y² ) = 42
x² + y² = 14
xy = -15 ( given )
(x-y)² = x² + y² - xy
14 - ( -15 )
14 + 15
29
What is the surface area of the model, including the bottom face?
Answer:
D. 483.84 ft^2.
Step-by-step explanation:
we have 2 triangles and 7 rectangles, 5 of which are 8.4*8.4 squares.
Area = 2 * 1/2 * 4 * 8.4 + 2*5.8*8.4 + 5 * 8.4^2
= 33.6 + 97.44 + 352.8
= 483.84 ft^2.
83 + (25) : 5 > 32 + 42
Step-by-step explanation:
83 +(25)/5 >32 + 42
Simplify 83 + (25)/5= 108/5
Simplify 32 + 42: 74
108/5>74
Therefore the solution is false
For what value of k will k + 11, 2k – 1 and 2k + 7 are the consecutive terms of an A.P.?
1st answer will be marked brainliest and no glibberish answers
[tex]\text{For arithmetic series, the common difference will be same. }\\\\~~~~~~(2k-1)-(k+11) = (2k+7)-(2k-1)\\\\\implies 2k-1-k-11 = 2k+7-2k+1\\\\\implies k-12=8\\\\\implies k=8+12\\\\\implies k=20[/tex]
Find x and find angle b
Answer the question below
Answer:
Step-by-step explanation:
The side length of the larger pentagon is 3, but the side length of the smaller pentagon is 2, so the scale factor is 2/3.After this. we want the points that stick the farthest out to map onto each other, so they need to have the same y coordinate. So, translate down 2 units.Finally, reflect over the y axis.This shows the pentagons are congruent.Is it appropriate to use the geometric distribution to
calculate probabilities in this situation?
a medical device company knows that the percentage
of patients experiencing injection-site reactions with
the current needle is 11%. a nurse will collect data by
performing injections with this type of needle until five
people experience injection-site reactions.
yes, the geometric distribution is appropriate.
no, since each trial is not independent of the other
trials.
no, because it is not looking for the first occurrence
of success.
no, since the probability of success is not the same
for each of the trials.
The hypergeometric distribution should not be used, hence the correct option is given by:
no, because it is not looking for the first occurrence of success.
When the hypergeometric distribution should be used?These two conditions should be respected:
We should be looking for the probability of x successes on n trials, not the number of trials until n successes.The trials should not be independent, that is, the probabilities on each trial should be different.None of these conditions are true in this case, hence the correct option is given by:
no, because it is not looking for the first occurrence of success.
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Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin's model?
Answer: 6.04 inches
Step-by-step explanation:
The actual height of the monument = 604 feet
The scale used by Corbins is 1 inch = 100 feet
The height of the Corbins model in inches= [tex]\frac{604}{100}[/tex] = 6.04 inches
the height of the Corbins model = 6.04 inches
Trains Two trains, Train A and Train B, weigh a total of 355 tons. Train A is heavier than Train B.
The difference of their weights is 183 tons. What is the weight of each train?
Answer:
A = 269 T B = 86 T
Step-by-step explanation:
A-B = 183 or A = 183 +B
A+B = 355 SUB IN THE VALUE ABOVE FOR A
183 + B + B = 355
183 + 2B = 355
B= 86 THEN A = 183 +B = 269
Lori wants to spend less than $20 on her school lunches this week. If she plans to buy all her lunches at school this week, on average, how much can she spend in a day?
Inequality:
Answer:
average = amount/ days
the answer is 4
In a soccer league with four teams, each team played four games with every other team. Each team received 3 points for a win, 1 point for a tie, and no points for a loss. After all the games, the point tallies were as follows: Team A won 22 points, team B won 19 points, team C won 14 points, and team D won 12 points. How many games ended in a tie?
The number of game that ended in a tie are= 67
Calculation of total number of tiesThe number of points that makes up a win = 3
The number of points that makes up a tie = 1
The number of points that makes a loss = 0
Team A = 22 points
Team B = 19 points
Team C = 14 points
Team D = 12 points
The total of points gotten by the whole team is = the games that ended in a tie.
That is , 22+19+14+12 = 67
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Find the area of a polygon
Answer:
32.71cm² is the area
Which of the following examines relationships and patterns?
descriptive survey
predictive survey
exploratory survey
explanatory survey
will give brainliest look at pitcure
Answer:
x = 90°
Step-by-step explanation:
From the meaning of figure
30² + 2x° + (2x - 30)° = 360°
4x° = 360°
x = 90°
HOPE THIS HELPS AND HAVE A NICE DAY <3
name four fractions whose values are between 1/4 and 3/4
Answer:
ok don't panic it's organic
Answer:
[tex]\frac{1}{3} , \frac{1}{2} , \frac{3}{8} , \frac{5}{8}[/tex]
Step-by-step explanation:
Help me on this please!
Answer:
B-a population growth of 3% each year
Step-by-step explanation:
The 1.03 would mean that the exponential function is increasing by 3% every year because it is 0.03 units above 1.
Find the total value of the investment after the time given. $480 at 9% compounded monthly for 7 years
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$480\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=480\left(1+\frac{0.09}{12}\right)^{12\cdot 7}\implies A=480(1.0075)^{84}\implies A\approx 899.14[/tex]
Todd orders pictures from a photographer. Each picture costs $7.50. A one-time shipping fee of $3.25 is added to the cost of the order. The total cost of Todd's order before tax is $85.75. How many pictures did Todd order? Solve this problem using two different methods or strategies. Label your strategies.
Equation in slope intercept form
y=mx+by=7.5x+3.25So
Total paintings is x
85.75=7.5x+3.257.5x=82.5x=11 paintingsAnswer:
11 pictures
Step-by-step explanation:
Method 1Create an algebraic equation from the given information, defining the unknown quantity as a variable, then solve for the variable.
Given:
Cost of one picture = $7.50Shipping fee (one time) = $3.25Total cost of order = $85.75Let x = number of pictures ordered
⇒ Cost of one picture × number of pictures ordered + shipping fee = total
⇒ 7.5x + 3.25 = 85.75
⇒ 7.5x + 3.25 - 3.25 = 85.75 - 3.25
⇒ 7.5x = 82.50
⇒ 7.5x ÷ 7.5 = 82.50 ÷ 7.5
⇒ x = 11
Therefore, Todd ordered 11 pictures.
Method 2Logic and trial and error.
Given:
Cost of one picture = $7.50Shipping fee (one time) = $3.25Total cost of order = $85.75If the shipping fee is a one time cost, then if we subtract this from the total cost of the order, we know how much Todd spent on the pictures alone:
⇒ $85.75 - $3.25 = $82.50
We have been told that each picture costs $7.50.
Therefore, 10 pictures costs $75.00 (when multiplying by 10, we simply move the decimal point one place to the right).
$75.00 is less than $82.50. So what happens if we add another $7.50 to $75.00?
⇒ $75.00 + $7.50 = $82.50
Therefore, Todd ordered 10 + 1 = 11 pictures.
can someone help me with this question? Thank you!
Answer:
i hope this can help you!
What does 3/4 + 3/4 + 3/4 + 3/4 =
Answer:
3
Step-by-step explanation:
3/4 = 0.75
0.75 x 4 = 3
0.75 + 0.75 + 0.75 + 0.75 = 3
Step-by-step explanation:
[tex] = \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} \\ [/tex]
[tex] = \frac{3 + 3 + 3 + 3}{4} \\ [/tex]
[tex] = \frac{12}{4} \\ [/tex]
change into lowest term
[tex] = \frac{6}{2} \\ [/tex]
[tex] = \frac{3}{1} \\ [/tex]
hope it helped !!!
A box contains six black balls and four white balls.
What is the probability of selecting a black ball at
random from the box?
(15 points!!!)
Thank you! :)